============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 11697 was started by veroff on b146-19, Sat Apr 10 17:18:28 2021 The command was "prover9 -f aK2_eq_aK3_o.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 3382.55 (+ 156.75) seconds: "aK2_eq_aK3 (1423)". % Length of proof is 16266. % Level of proof is 848. % Maximum clause weight is 62.000. % Given clauses 17576 (20.726 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 6 a(x,K(y,z),u) = a(x,u,K(y,z)) # label("aK2_eq_aK3 (1423)") # 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 * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l"). [assumption]. 33 ((x * x) * y) * z = (x * x) * (y * z). [copy(32),flip(a)]. 34 (x * (y * y)) * z = x * ((y * y) * z) # label("NucSq_m"). [assumption]. 35 (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). [assumption]. 36 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 37 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 38 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 39 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 40 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 41 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 42 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 43 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 44 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 45 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 46 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 47 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 48 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 49 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 50 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 51 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 52 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 53 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 54 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. 55 L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. 56 T(x,y) != x | T(y,x) = y. [clausify(3)]. 57 T(x,y) != x | K(x,y) = 1. [clausify(4)]. 58 K(x,y) != 1 | T(x,y) = x. [clausify(5)]. 59 x != y | x * z = y * z # label("Aux 1"). [assumption]. 60 x != y | z * x = z * y # label("Aux 2"). [assumption]. 61 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 64 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 65 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 66 a(c1,K(c2,c3),c4) != a(c1,c4,K(c2,c3)) # label("aK2_eq_aK3 (1423)") # answer("aK2_eq_aK3 (1423)"). [deny(6)]. 67 1 \ x = x. [para(7(a,1),9(a,1,2))]. 68 x \ x = 1. [para(8(a,1),9(a,1,2))]. 69 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. 70 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. 71 x * (x \ (1 * y)) = y. [para(10(a,2),7(a,1))]. 72 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. 73 x \ (y * (y \ (x * z))) = z. [para(10(a,2),9(a,1,2))]. 74 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. 75 x / x = 1. [para(7(a,1),11(a,1,1))]. 76 x / 1 = x. [para(8(a,1),11(a,1,1))]. 77 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. 78 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. 79 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. 80 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. 81 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. 82 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. 83 ((x * (x \ y)) / z) * z = y. [para(12(a,2),10(a,1))]. 84 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. 85 (((x / y) / z) * z) * y = x. [para(12(a,2),12(a,1,1))]. 86 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. 87 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. 88 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),14(a,2,1,2)),flip(a)]. 89 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. 90 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. 91 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. 92 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. 93 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. 94 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. 95 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. 96 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. 97 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. 98 (x * y) / (x * y) = R(1,x,y). [para(7(a,1),20(a,2,1,1)),flip(a)]. 99 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. 100 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. 101 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. 102 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. 103 T(x,x) = x. [para(22(a,2),9(a,1))]. 104 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. 105 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. 106 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. 107 T(x,x * x) = L(x,x,x). [para(22(a,2),18(a,2)),flip(a)]. 108 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)]. 109 (x * x) * (((x * x) \ y) * z) = y * z. [para(10(a,1),33(a,1,1)),flip(a)]. 110 ((x * x) * (y * z)) / z = (x * x) * y. [para(33(a,1),11(a,1,1))]. 111 (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) = a(x,(y * y) * z,u). [para(33(a,1),14(a,2,1,2)),flip(a)]. 112 ((x * x) * (y * (z * u))) \ ((((x * x) * y) * z) * u) = a((x * x) * y,z,u). [para(33(a,1),14(a,2,1)),flip(a)]. 113 ((x * x) * (y * z)) \ (((x * x) * y) * (z * u)) = L(u,z,(x * x) * y). [para(33(a,1),18(a,2,1)),flip(a)]. 114 (((x * x) * (y * z)) * u) / (z * u) = R((x * x) * y,z,u). [para(33(a,1),20(a,2,1,1)),flip(a)]. 115 (x * (y * ((z * z) * u))) \ ((x * (y * (z * z))) * u) = a(x,y * (z * z),u). [para(34(a,1),14(a,2,1,2)),flip(a)]. 116 (x * ((y * y) * (z * u))) \ (((x * (y * y)) * z) * u) = a(x * (y * y),z,u). [para(34(a,1),14(a,2,1)),flip(a)]. 117 (x * ((y * y) * z)) \ ((x * (y * y)) * (z * u)) = L(u,z,x * (y * y)). [para(34(a,1),18(a,2,1)),flip(a)]. 118 (x * (y * (z * z))) * u = (x * y) * ((z * z) * u). [para(35(a,1),34(a,1,1))]. 119 1 * x != y | z != y | x = z. [para(7(a,1),36(b,1))]. 120 x != y | z * u != y | z \ x = u. [para(10(a,1),36(a,1))]. 121 x != y | z * u != y | x / u = z. [para(12(a,1),37(a,1))]. 122 1 * x != y | x = y. [para(7(a,1),45(a,2))]. 123 (x * y) * 1 != x * z | z = y. [para(8(a,2),45(a,2)),flip(a)]. 124 x \ (x * (y * z)) != y * u | u = z. [para(9(a,2),45(a,2)),flip(a)]. 125 x * y != z | x \ z = y. [para(10(a,1),45(a,1)),flip(a)]. 131 1 * (x * y) != z * y | x = z. [para(7(a,2),46(a,1))]. 132 x * 1 != y | y = x. [para(8(a,1),46(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(8(a,1),46(a,2))]. 134 x \ (x * (y * z)) != u * z | y = u. [para(9(a,2),46(a,1))]. 135 x * (y \ z) != z | x = y. [para(10(a,1),46(a,2))]. 136 x * y != z | z / y = x. [para(12(a,1),46(a,1)),flip(a)]. 139 x / y != z | z * y = x. [para(11(a,1),48(a,1)),flip(a)]. 140 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(20(a,2),48(a,1))]. 141 x \ y != z | x * z = y. [para(9(a,1),49(a,1)),flip(a)]. 142 x \ (y * z) != z | y = x. [para(9(a,1),50(a,1)),flip(a)]. 144 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(18(a,2),50(a,1)),flip(a)]. 145 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),51(a,1))]. 146 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),51(a,1)),flip(a)]. 148 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),52(a,1))]. 149 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),53(a,1))]. 151 ((x / y) * y) * z = x * z. [hyper(59,a,12,a)]. 152 (x * (x \ y)) * z = y * z. [hyper(59,a,10,a)]. 153 x * (y * (y \ z)) = x * z. [hyper(60,a,10,a)]. 154 ((x / y) * y) / z = x / z. [hyper(61,a,12,a)]. 155 (x * (x \ y)) \ z = y \ z. [hyper(63,a,10,a)]. 156 (x * y) / y = (x / z) * z. [hyper(65,a,12,a,b,11,a(flip)),flip(a)]. 157 (x / y) * y = z * (z \ x). [hyper(65,a,12,a,b,10,a(flip))]. 158 (x / y) * y = x * 1. [hyper(65,a,12,a,b,8,a(flip))]. 159 x \ (x * y) = z * (z \ y). [hyper(65,a,10,a,b,9,a(flip)),flip(a)]. 160 x * (x \ y) = y * 1. [hyper(65,a,10,a,b,8,a(flip))]. 161 1 \ (x * 1) = x. [hyper(65,a,67,a,b,8,a)]. 162 (x * (x \ 1)) \ y = y. [para(10(a,2),67(a,1,1))]. 163 ((1 / x) * x) \ y = y. [para(12(a,2),67(a,1,1))]. 164 1 \ x != y | y = x. [para(67(a,1),49(a,1)),flip(a)]. 165 1 \ x != y | x = y. [para(67(a,1),49(a,2))]. 166 x \ y != y | 1 = x. [para(67(a,1),50(a,1)),flip(a)]. 167 K(x,x) = 1. [hyper(65,a,16,a,b,68,a)]. 168 x / (y * (y \ 1)) = x. [para(10(a,2),76(a,1,2))]. 169 x / ((1 / y) * y) = x. [para(12(a,2),76(a,1,2))]. 170 T(x,R(x,y,z)) = x. [hyper(44,a,27,a,b,103,a(flip))]. 171 T(x,L(x,y,z)) = x. [hyper(43,a,25,a,b,103,a(flip))]. 172 T(x,T(x,y)) = x. [hyper(42,a,23,a,b,103,a(flip))]. 173 T(T(x,y),x) = T(x,y). [para(103(a,1),23(a,1,1)),flip(a)]. 174 T(L(x,y,z),x) = L(x,y,z). [para(103(a,1),25(a,1,1)),flip(a)]. 175 x * K(y,y) = x. [para(167(a,2),8(a,1,2))]. 176 (x * y) / y = z / (x \ z). [hyper(65,a,78,a,b,11,a(flip)),flip(a)]. 177 x / (y \ x) = z * (z \ y). [hyper(65,a,78,a,b,10,a(flip))]. 178 (x / (y \ x)) * z = y * z. [hyper(59,a,78,a)]. 179 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(38,a,20,a(flip),b,78,a),flip(a)]. 180 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),78(a,1,2))]. 181 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),78(a,1,2))]. 182 (x * y) / T(x,y) = y. [para(22(a,2),78(a,1,2))]. 183 x / y != z | z \ x = y. [para(78(a,1),47(a,1)),flip(a)]. 184 x / (y / ((z \ x) \ y)) = z. [para(78(a,2),78(a,1,2))]. 185 (x / y) \ x = z * (z \ y). [hyper(65,a,81,a,b,10,a(flip))]. 186 ((x / y) \ x) * z = y * z. [hyper(59,a,81,a)]. 187 x * ((y / (x \ z)) \ y) = z. [hyper(40,a,9,a,b,81,a(flip))]. 188 ((x / (y / z)) \ x) \ y = z. [hyper(38,a,78,a,b,81,a(flip))]. 190 x \ y != z | y / z = x. [para(81(a,1),50(a,1)),flip(a)]. 191 T(x,1) = x. [hyper(65,a,22,a,b,161,a)]. 192 K(x,1) = 1. [hyper(57,a,191,a)]. 193 T(1,x) = 1. [hyper(56,a,191,a)]. 194 T(x,1) != y | y = x. [para(191(a,1),51(a,1)),flip(a)]. 195 T(x,y \ y) = x. [para(68(a,2),191(a,1,2))]. 196 K(1,x) = 1. [hyper(57,a,193,a)]. 197 T(x,y \ y) != z | x = z. [para(195(a,1),51(a,2))]. 199 ((1 / x) * x) * y != z | y = z. [para(12(a,2),122(a,1,1))]. 200 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),133(a,1,2))]. 201 x * ((1 / y) * y) != z | x = z. [para(12(a,2),133(a,1,2))]. 202 x * (y \ y) != z | x = z. [para(68(a,2),133(a,1,2))]. 203 T(x,R(T(x,y),z,u)) = x. [hyper(42,a,23,a,b,170,a(flip))]. 204 K(x,L(x,y,z)) = 1. [hyper(57,a,171,a)]. 205 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(70(a,1),20(a,2,1))]. 206 x * (x \ y) = y * (z * (z \ 1)). [hyper(65,a,72,a,b,10,a(flip)),flip(a)]. 207 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(72(a,1),14(a,2,1)),flip(a)]. 208 L(x \ 1,x,y) = (y * x) \ y. [para(72(a,1),18(a,2,2))]. 209 x * ((1 / x) * (1 / x)) = 1 / x. [hyper(36,a,35,a(flip),b,79,a(flip))]. 210 R(1 / x,x,y) = y / (x * y). [para(79(a,1),20(a,2,1))]. 211 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(80(a,1),14(a,2,1)),flip(a)]. 212 x * T(y / x,x) = y. [hyper(65,a,104,a,b,12,a)]. 213 (x \ y) * T(x,x \ y) = y. [hyper(65,a,104,a,b,10,a)]. 214 T((x * y) / x,x) = y. [hyper(36,a,12,a(flip),b,104,a),flip(a)]. 215 (x * T(y,x)) / x = y. [hyper(37,a,12,a,b,104,a(flip))]. 216 x \ (y * T(x,y)) = y. [hyper(36,a,10,a,b,104,a(flip))]. 217 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(104(a,1),14(a,2,1,2)),flip(a)]. 218 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(104(a,1),14(a,2,2,1)),flip(a)]. 219 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(104(a,1),16(a,2,1)),flip(a)]. 220 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(104(a,1),18(a,2,1)),flip(a)]. 221 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(104(a,1),18(a,2,2,2)),flip(a)]. 222 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(104(a,1),20(a,2,1,1)),flip(a)]. 223 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(104(a,1),20(a,2,2)),flip(a)]. 225 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),104(a,1,2))]. 226 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),104(a,1,2))]. 227 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),104(a,1,2))]. 228 (x * x) * (T(y,x * x) * z) = (y * (x * x)) * z. [para(104(a,1),33(a,1,1)),flip(a)]. 229 x * y != z | y * u != z | T(x,y) = u. [para(104(a,1),36(a,1))]. 230 x * y != z * x | T(z,x) = y. [para(104(a,1),45(a,1)),flip(a)]. 231 x * T(y,x) != z * x | y = z. [para(104(a,2),46(a,1))]. 232 x * T(y,x) != z * x | z = y. [para(104(a,2),46(a,2)),flip(a)]. 233 T(x,y) * x = x * T(x,y). [para(172(a,1),104(a,1,2))]. 235 L(x,y,z) * x = x * L(x,y,z). [para(171(a,1),104(a,1,2))]. 236 T(x / (x / y),x / y) = y. [hyper(65,a,106,a,b,81,a)]. 237 T(T(x / y,z),y) = T(y \ x,z). [para(106(a,1),23(a,1,1)),flip(a)]. 238 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(106(a,1),25(a,1,1)),flip(a)]. 239 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(106(a,1),27(a,1,1)),flip(a)]. 240 x * 1 != y * z | x / z = y. [para(158(a,1),46(a,1))]. 241 (x / y) * y != z | z = x. [para(158(a,2),132(a,1))]. 242 (x / y) * y != z | x = z. [para(158(a,2),133(a,1))]. 243 x \ (y * (y \ x)) = 1. [hyper(36,a,10,a,b,160,a(flip))]. 244 x * 1 != y * z | y \ x = z. [para(160(a,1),45(a,1))]. 245 x * (x \ y) != z | z = y. [para(160(a,2),132(a,1))]. 246 x * (x \ y) != z | y = z. [para(160(a,2),133(a,1))]. 247 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(65,a,18,a,b,162,a),flip(a)]. 248 K(x \ 1,x) = (x \ 1) * x. [hyper(65,a,16,a,b,162,a)]. 249 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(65,a,18,a,b,163,a),flip(a)]. 250 K(x,1 / x) = x * (1 / x). [hyper(65,a,16,a,b,163,a)]. 251 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(65,a,20,a,b,168,a),flip(a)]. 252 x / (y * (y \ 1)) != z | z = x. [para(168(a,1),48(a,1)),flip(a)]. 253 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(65,a,20,a,b,169,a),flip(a)]. 254 x / T(y,y \ x) = y \ x. [para(10(a,1),182(a,1,1))]. 255 (x * y) / z != y | T(x,y) = z. [para(182(a,1),47(a,1)),flip(a)]. 256 (x * y) / T(y,T(x,y)) = T(x,y). [para(104(a,1),182(a,1,1))]. 257 x * y != z | T(z / x,x) = y. [para(212(a,1),45(a,1)),flip(a)]. 258 T(T((x * y) / x,z),x) = T(y,z). [para(214(a,1),23(a,1,1)),flip(a)]. 259 T(x,y) != z | (y * z) / y = x. [para(214(a,1),51(a,1)),flip(a)]. 260 T((x * y) / x,y) = (x * y) / x. [para(214(a,1),172(a,1,2))]. 261 L(x,y,z) != (u * T(L(w,y,z),u)) / u | w = x. [para(215(a,2),52(a,1)),flip(a)]. 262 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(25(a,2),216(a,1,2,2))]. 265 x \ y != z \ y | z = x. [para(10(a,1),142(a,1,2))]. 266 x \ x != y | 1 = y. [para(7(a,1),202(a,1))]. 267 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),241(a,1,1)),flip(b)]. 268 x * T(y,x) != z | y * x = z. [para(182(a,1),241(a,1,1)),flip(b)]. 269 x * y != z | y * T(x,y) = z. [para(215(a,1),241(a,1,1)),flip(b)]. 271 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),245(a,1,2)),flip(b)]. 272 x \ ((x * y) * L(z,y,x)) = y * z. [para(18(a,2),73(a,1,2,2))]. 273 L(x \ (y \ z),x,y) = (y * x) \ z. [para(74(a,1),18(a,2,2))]. 274 x * (x \ (y * z)) = y * (u * (u \ z)). [para(73(a,1),74(a,1,2,2,2)),flip(a)]. 276 (R(x,y,z) * (y * z)) / z = x * y. [para(20(a,2),84(a,1,1,1))]. 277 R((x / y) / z,z,y) = x / (z * y). [para(85(a,1),20(a,2,1))]. 278 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),89(a,1,1))]. 279 x * K(y,x / y) = y * (x / y). [para(12(a,1),89(a,1,1))]. 280 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(89(a,1),18(a,2,2,2)),flip(a)]. 281 (x * y) * z != y * x | K(y,x) = z. [para(89(a,1),45(a,1)),flip(a)]. 282 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(89(a,1),182(a,1,1))]. 283 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(64,a,105,a)]. 284 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(63,a,105,a)]. 285 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(60,a,105,a)]. 286 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(59,a,105,a)]. 287 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(105(a,1),23(a,1,1)),flip(a)]. 288 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(105(a,1),25(a,1,1)),flip(a)]. 290 x != y | z != y | x = z. [para(7(a,1),119(a,1))]. 291 (x / (y * (y \ z))) * z = x. [hyper(242,a,153,a),flip(a)]. 292 x / (y \ ((x / z) * z)) = y. [hyper(65,a,78,a(flip),b,154,a),flip(a)]. 294 (x * y) / y != z * u | x / u = z. [para(156(a,2),46(a,1))]. 295 x / y != (z / u) * u | z * y = x. [para(156(a,1),48(a,1)),flip(a)]. 296 ((x / y) * y) * z != u | x * z = u. [para(156(a,1),241(a,1,1)),flip(b)]. 297 (x * y) / y != z | z = x. [para(156(a,2),241(a,1))]. 298 (x * y) / y != z | x = z. [para(156(a,2),242(a,1))]. 299 x / x != y | 1 = y. [para(7(a,1),297(a,1,1)),flip(b)]. 300 x / (y \ x) != z | z = y. [para(10(a,1),297(a,1,1))]. 301 (x * T(y,x)) / x != z | z = y. [para(104(a,2),297(a,1,1))]. 302 x / (y \ x) != z | y = z. [para(10(a,1),298(a,1,1))]. 303 (x / y) * y != z * u | z \ x = u. [para(157(a,2),45(a,1))]. 304 x * (x \ y) != z * u | y / u = z. [para(157(a,1),46(a,1))]. 306 x \ y != z * (z \ u) | x * u = y. [para(159(a,1),49(a,1)),flip(a)]. 307 x \ (x * y) != z | y = z. [para(159(a,2),202(a,1))]. 308 x * (y * (y \ z)) != u | x * z = u. [para(159(a,1),245(a,1,2)),flip(b)]. 309 x \ (x * y) != z | z = y. [para(159(a,2),245(a,1))]. 310 (x / y) \ x != z | y = z. [para(12(a,1),307(a,1,2))]. 311 x \ (y * x) != z | T(y,x) = z. [para(104(a,1),307(a,1,2))]. 312 (x * y) \ (y * x) != z | K(y,x) = z. [para(89(a,1),307(a,1,2))]. 313 (x / y) \ x != z | z = y. [para(12(a,1),309(a,1,2))]. 314 T((x * y) / x,x) != z | z = y. [para(106(a,2),309(a,1))]. 316 (x / (y \ x)) * z != u | y * z = u. [para(176(a,1),241(a,1,1)),flip(b)]. 317 (x * (x \ y)) \ z != u | y \ z = u. [para(177(a,1),310(a,1,1))]. 318 ((x / y) \ x) * (y \ z) = z. [hyper(290,a,10,a(flip),b,186,a),flip(a)]. 319 (x / y) * ((z / y) \ z) = x. [para(81(a,1),187(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(213(a,1),18(a,2,2,2))]. 321 (x \ y) * z != y | T(x,x \ y) = z. [para(213(a,1),45(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(81(a,2),236(a,1,2))]. 325 T(x / (x / y),y) = x / (x / y). [para(236(a,1),172(a,1,2))]. 326 x * T(x \ 1,x) = K(x \ 1,x). [hyper(290,a,104,a,b,248,a)]. 327 K(x \ 1,x) / x = x \ 1. [hyper(136,a,248,a(flip))]. 331 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),291(a,1,1))]. 332 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(18(a,2),292(a,1,2))]. 333 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(254(a,1),318(a,1,1,1))]. 334 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),46(a,1)),flip(a)]. 335 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(254(a,1),319(a,1,2,1))]. 337 (x \ 1) * x != y | K(x \ 1,x) = y. [para(327(a,1),241(a,1,1)),flip(b)]. 338 L(1,x,y) = 1. [hyper(266,a,93,a),flip(a)]. 341 a(x,y,1) = 1. [hyper(55,a,338,a)]. 342 a(x,y,K(1,z)) = 1. [para(196(a,2),341(a,1,3))]. 343 R(1,x,y) = 1. [hyper(299,a,98,a),flip(a)]. 346 1 * x != y * 1 | x = y. [para(7(a,1),123(a,1,1)),flip(a)]. 347 x * y != x * z | z = y. [para(8(a,1),123(a,1))]. 349 1 * x != y * (y \ z) | x = z. [para(160(a,2),346(a,2))]. 350 1 * x != y * z | x / z = y. [para(12(a,1),131(a,1,2))]. 352 L(x \ 1,x,1 / x) = 1 / x. [hyper(290,a,163,a(flip),b,208,a),flip(a)]. 353 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(290,a,155,a(flip),b,208,a),flip(a)]. 354 x / L(y \ 1,y,x) = x * y. [hyper(190,a,208,a(flip))]. 355 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),208(a,2,1))]. 356 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(208(a,1),25(a,2,1)),flip(a)]. 357 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(208(a,1),30(a,1,1)),flip(a)]. 358 R(1 / x,x,x \ 1) = x \ 1. [hyper(290,a,168,a(flip),b,210,a),flip(a)]. 359 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(59,a,210,a)]. 360 R(1 / x,x,y) \ y = x * y. [hyper(183,a,210,a(flip))]. 361 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),210(a,2,2))]. 362 R(1 / (x / y),x / y,y) = y / x. [para(12(a,1),210(a,2,2))]. 363 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(210(a,1),27(a,2,1)),flip(a)]. 364 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(104(a,1),210(a,2,2))]. 368 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(104(a,1),230(a,2))]. 371 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),231(a,1,2))]. 374 (x / y) * y != z * u | x / u = z. [para(158(a,2),240(a,1))]. 375 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),244(a,1,2))]. 376 x * ((1 / y) * y) != z * u | z \ x = u. [para(12(a,2),244(a,1,2))]. 377 x * (x \ y) != z * u | z \ y = u. [para(160(a,2),244(a,1))]. 378 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),268(a,1,2))]. 379 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),268(a,1,2))]. 380 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(27(a,2),268(a,1,2))]. 382 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(104(a,1),311(a,1,2))]. 383 T(x / y,y) != z | y \ x = z. [para(10(a,1),314(a,1,1,1)),flip(b)]. 385 ((1 / x) * x) * y != z * u | y / u = z. [para(12(a,2),350(a,1,1))]. 386 x / L(y,1 / y,x) = x * (1 / y). [para(81(a,1),354(a,1,2,1))]. 387 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(354(a,1),310(a,1,1))]. 388 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(354(a,1),318(a,1,1,1))]. 389 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(78(a,1),360(a,1,1,1))]. 390 T(x,x \ y) != z | (x \ y) \ y = z. [para(78(a,1),383(a,1,1))]. 391 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(182(a,1),383(a,1,1))]. 392 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(9(a,1),90(a,2,1)),flip(a)]. 393 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(104(a,2),90(a,1,2))]. 395 K(x,1 / x) != y | x * (1 / x) = y. [para(92(a,1),164(a,1)),flip(b)]. 396 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(120,a,20,a,b,168,a(flip))]. 397 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(120,a,18,a,b,163,a(flip))]. 398 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(120,a,18,a,b,162,a(flip))]. 399 x \ (y * (z * z)) = (x \ y) * (z * z). [hyper(120,a,152,a(flip),b,35,a(flip))]. 400 (x * x) \ (y * z) = ((x * x) \ y) * z. [hyper(120,a,152,a(flip),b,33,a(flip))]. 401 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(120,a,105,a(flip),b,12,a)]. 402 (1 / x) \ (y * y) = x * (y * y). [hyper(120,a,79,a(flip),b,35,a(flip))]. 403 (x * (y * y)) \ z = (y * y) \ (x \ z). [hyper(120,a,74,a(flip),b,34,a)]. 404 ((x * x) * y) \ z = y \ ((x * x) \ z). [hyper(120,a,74,a(flip),b,33,a)]. 405 (x \ 1) * (y * y) = x \ (y * y). [hyper(120,a,70,a(flip),b,35,a(flip)),flip(a)]. 406 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(121,a,20,a,b,168,a(flip))]. 407 (x / (y * y)) / z = x / (z * (y * y)). [hyper(121,a,85,a(flip),b,35,a(flip)),flip(a)]. 408 (x / y) / (z * z) = x / ((z * z) * y). [hyper(121,a,85,a(flip),b,34,a(flip)),flip(a)]. 409 (x * x) * (1 / y) = (x * x) / y. [hyper(121,a,80,a(flip),b,33,a),flip(a)]. 410 x / ((y * y) \ 1) = x * (y * y). [hyper(121,a,72,a(flip),b,34,a)]. 411 (x * x) / (y \ 1) = (x * x) * y. [hyper(121,a,72,a(flip),b,33,a)]. 412 (x / ((y * y) * z)) * (y * y) = x / z. [hyper(121,a,12,a(flip),b,34,a),flip(a)]. 413 (1 / x) * (1 / x) = x \ (1 / x). [hyper(125,a,209,a),flip(a)]. 416 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),225(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(106(a,1),225(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(214(a,1),225(a,1,2,1)),flip(a)]. 419 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(259,a,237,a)]. 420 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(237(a,1),51(a,1))]. 421 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(237(a,1),268(a,1,2))]. 422 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(237(a,1),301(a,1,1,2)),flip(b)]. 423 (x * T(y,z)) / x = T((x * y) / x,z). [hyper(259,a,258,a)]. 424 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(258(a,1),51(a,2)),flip(b)]. 427 T(x,(y * x) / y) = x. [hyper(56,a,260,a)]. 428 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(278(a,1),18(a,2,2,2)),flip(a)]. 430 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(278(a,1),307(a,1,2))]. 431 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(278(a,1),230(a,2))]. 432 x * (y / x) != y * z | K(x,y / x) = z. [para(279(a,1),45(a,1))]. 433 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(279(a,1),307(a,1,2))]. 434 x / (x * x) = x \ 1. [hyper(121,a,9,a(flip),b,405,a)]. 435 (x \ 1) \ x = x * x. [hyper(120,a,9,a(flip),b,405,a)]. 436 (x * x) \ (y \ (x * x)) = T(y \ 1,x * x). [hyper(120,a,405,a(flip),b,104,a)]. 437 (x \ 1) * ((y * y) * z) = (x \ (y * y)) * z. [para(405(a,1),34(a,1,1)),flip(a)]. 439 x / (1 / x) = x * x. [hyper(121,a,11,a(flip),b,409,a)]. 440 1 / (x \ (y * y)) = (y * y) \ x. [hyper(120,a,78,a(flip),b,409,a),flip(a)]. 441 (x * x) \ x = 1 / x. [hyper(120,a,11,a(flip),b,409,a)]. 442 (x * x) * ((1 / y) * z) = ((x * x) / y) * z. [para(409(a,1),33(a,1,1)),flip(a)]. 443 x / y != x * x | 1 / x = y. [para(439(a,1),47(a,1)),flip(a)]. 444 (x \ 1) * (x \ 1) = (x \ 1) / x. [para(78(a,1),439(a,1,2)),flip(a)]. 445 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(65,a,152,a(flip),b,94,a)]. 446 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(65,a,151,a(flip),b,94,a)]. 447 L(x * x,y,z) = x * x. [hyper(36,a,35,a,b,94,a),flip(a)]. 448 L(x,y * y,z) = x. [hyper(36,a,34,a,b,94,a),flip(a)]. 449 L(x,y,z * z) = x. [hyper(36,a,33,a,b,94,a),flip(a)]. 450 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(121,a,94,a(flip),b,104,a)]. 451 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(120,a,94,a(flip),b,104,a)]. 452 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(94(a,1),18(a,2,1)),flip(a)]. 453 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(94(a,1),18(a,2,2,2)),flip(a)]. 454 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(94(a,1),20(a,2,1,1)),flip(a)]. 455 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(94(a,1),20(a,2,1)),flip(a)]. 456 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),94(a,1,2))]. 457 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),94(a,1,2))]. 458 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),94(a,1,2))]. 459 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(94(a,1),45(a,1)),flip(a)]. 461 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(104(a,1),94(a,1,1))]. 462 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(94(a,1),89(a,1,1))]. 463 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(94(a,1),307(a,1,2))]. 464 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(248(a,2),94(a,1,1))]. 467 L(x,1,y) = x. [para(7(a,1),448(a,1,2))]. 468 L(x,y * y,z) != u | u = x. [para(448(a,1),52(a,1)),flip(a)]. 469 L(x,y * y,z) != u | x = u. [para(448(a,1),52(a,2))]. 470 L(x,1,y) = z \ (z * x). [hyper(290,a,9,a,b,467,a),flip(a)]. 471 L(x,1,y) != z | z = x. [para(467(a,1),52(a,1)),flip(a)]. 473 L(x,y,1) = x. [para(7(a,1),449(a,1,3))]. 474 L(x,y,z * z) != u | x = u. [para(449(a,1),52(a,2))]. 475 L(x,y,1) = z \ (z * x). [hyper(290,a,9,a,b,473,a),flip(a)]. 476 L(x,1,y) != z \ (z * u) | u = x. [para(470(a,1),52(a,1)),flip(a)]. 477 L(x \ T(y * x,y),x,y) = y. [hyper(290,a,216,a(flip),b,96,a),flip(a)]. 478 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(290,a,163,a(flip),b,96,a),flip(a)]. 479 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(290,a,162,a(flip),b,96,a),flip(a)]. 480 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(290,a,155,a(flip),b,96,a),flip(a)]. 481 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),96(a,2,1))]. 482 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),96(a,1,1)),flip(a)]. 483 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(104(a,1),96(a,2,1))]. 484 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(104(a,1),96(a,2,2))]. 485 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(89(a,1),96(a,2,1))]. 486 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(250(a,2),96(a,2,2))]. 487 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(208(a,2),96(a,1,1))]. 488 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(94(a,1),96(a,2,1))]. 489 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(94(a,1),96(a,2,2))]. 490 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(120,a,152,a(flip),b,100,a)]. 491 R(x / y,y,z) \ (x * z) = y * z. [hyper(120,a,151,a(flip),b,100,a)]. 492 R(x,y,z * z) = x. [hyper(37,a,35,a(flip),b,100,a),flip(a)]. 493 R(x,y * y,z) = x. [hyper(37,a,34,a(flip),b,100,a),flip(a)]. 494 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(120,a,100,a(flip),b,94,a)]. 495 R(x,y / z,z) * y = (x * (y / z)) * z. [para(12(a,1),100(a,1,2))]. 496 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(100(a,1),16(a,2,1)),flip(a)]. 497 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(100(a,1),20(a,2,1,1)),flip(a)]. 498 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(100(a,1),20(a,2,2)),flip(a)]. 499 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),100(a,1,1))]. 500 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(29(a,1),100(a,1,1))]. 501 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(31(a,1),100(a,1,1))]. 502 R(x,y,z) * (y * z) != (x * y) * u | z = u. [para(100(a,2),45(a,1))]. 503 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(100(a,1),46(a,1))]. 505 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(104(a,1),100(a,1,2))]. 506 x \ ((y * z) * u) != z * u | R(y,z,u) = x. [para(100(a,1),142(a,1,2))]. 507 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(100(a,1),89(a,1,1))]. 508 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(89(a,1),100(a,1,2))]. 509 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(100(a,1),297(a,1,1)),flip(b)]. 510 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(100(a,2),297(a,1,1)),flip(b)]. 511 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(100(a,1),200(a,1))]. 514 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(100(a,1),100(a,1,2))]. 515 R(x * y,z,u * u) != x * w | w = y. [para(492(a,2),45(a,2)),flip(a)]. 516 R(x,y,z * z) != u | u = x. [para(492(a,1),53(a,1)),flip(a)]. 517 R(x,y,z * z) != u | x = u. [para(492(a,1),53(a,2))]. 518 R(x,y,z \ (1 / z)) = x. [para(413(a,1),492(a,1,3))]. 519 R(x,1,y) = x. [para(7(a,1),493(a,1,2))]. 520 R(x,y * y,z) != u | x = u. [para(493(a,1),53(a,2))]. 522 R(x,y,z \ (1 / z)) != u | x = u. [para(518(a,1),53(a,2))]. 523 R(x / (1 / y),1 / y,y) = x * y. [hyper(290,a,169,a(flip),b,101,a),flip(a)]. 524 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(290,a,168,a(flip),b,101,a),flip(a)]. 525 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),101(a,2,1))]. 526 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(10(a,1),101(a,2,2))]. 527 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),101(a,2,2))]. 529 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(101(a,2),106(a,1,1))]. 530 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(210(a,2),101(a,1,1))]. 532 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(100(a,1),101(a,2,1))]. 533 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(100(a,1),101(a,2,2))]. 534 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(101(a,2),101(a,1,1))]. 535 x \ x != y * z | y \ 1 = z. [para(72(a,1),124(a,1,2)),flip(b)]. 536 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(206(a,2),124(a,1,2)),flip(b)]. 537 x \ (x * y) != z * u | y / u = z. [para(12(a,1),134(a,1,2,2))]. 540 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(104(a,1),179(a,1,2,1))]. 541 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(89(a,1),179(a,1,2,1))]. 542 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(278(a,1),179(a,1,2,1))]. 543 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(94(a,1),179(a,1,2,1))]. 544 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),181(a,1,1,2))]. 545 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(104(a,1),181(a,1,1,2))]. 546 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(89(a,1),181(a,1,1,2))]. 547 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(120,a,30,a,b,247,a)]. 548 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(120,a,25,a(flip),b,247,a)]. 549 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(120,a,30,a,b,249,a)]. 550 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(104(a,1),249(a,1,2)),flip(a)]. 551 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(121,a,29,a(flip),b,251,a)]. 552 R(x,y,y \ 1) / (y \ 1) != z | x * y = z. [para(251(a,1),297(a,1,1)),flip(b)]. 553 L((x \ 1) \ 1,x \ 1,y * x) = R(y,x,x \ 1) \ (y * x). [para(251(a,1),208(a,2,1))]. 554 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(100(a,1),251(a,1,1)),flip(a)]. 555 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(121,a,29,a(flip),b,253,a)]. 556 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(121,a,27,a(flip),b,253,a)]. 557 x \ ((x * y) * L(z,y,x)) != y * u | z = u. [para(272(a,2),45(a,1))]. 559 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(273(a,1),25(a,2,1))]. 560 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(81(a,1),273(a,1,1))]. 561 (x * (y * y)) \ z != u | (y * y) \ (x \ z) = u. [para(273(a,1),468(a,1)),flip(b)]. 562 ((x * x) * y) \ z != u | y \ ((x * x) \ z) = u. [para(273(a,1),474(a,1))]. 567 (x * (x \ y)) * z != u | y * z = u. [para(78(a,1),296(a,1,1,1))]. 568 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(253(a,1),296(a,1))]. 569 x * y != z * u | z \ (x * y) = u. [para(11(a,1),303(a,1,1))]. 574 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(156(a,1),303(a,1,1))]. 582 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(159(a,1),304(a,1,2))]. 585 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(247(a,1),308(a,1))]. 586 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(96(a,2),317(a,1))]. 587 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(104(a,2),337(a,1))]. 588 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(353(a,1),171(a,1,2))]. 589 K((x \ y) \ 1,y \ x) = 1. [para(353(a,1),204(a,1,2))]. 590 K(((x * y) \ x) \ 1,y) = 1. [para(9(a,1),589(a,1,2))]. 591 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(355(a,1),25(a,2,1)),flip(a)]. 592 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(361(a,1),27(a,2,1)),flip(a)]. 593 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(361(a,2),101(a,1,1))]. 594 1 / (x / (y * y)) = (y * y) / x. [hyper(517,a,362,a)]. 595 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),374(a,1,1))]. 596 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(156(a,1),374(a,1,1))]. 598 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),377(a,1,2))]. 601 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(159(a,1),377(a,1,2))]. 602 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(389(a,1),300(a,1,2)),flip(b)]. 603 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(27(a,2),390(a,1))]. 604 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(105(a,2),390(a,1,2))]. 605 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(398(a,1),49(a,1)),flip(a)]. 607 x / (y \ 1) != z * y | R(z,y,y \ 1) = x. [para(406(a,1),48(a,1)),flip(a)]. 609 ((x * x) \ 1) \ y = (x * x) * y. [hyper(474,a,479,a)]. 611 R(x / y,y,x \ z) \ z = y * (x \ z). [para(10(a,1),491(a,1,2))]. 612 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(524(a,1),27(a,2,1))]. 614 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(100(a,1),537(a,1,2))]. 615 ((x / y) \ x) * z != u | y * z = u. [para(185(a,2),567(a,1,1))]. 617 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(152(a,2),569(a,1))]. 619 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(254(a,1),615(a,1,1,1))]. 621 ((x * x) \ y) * (x * x) = T(y,x * x). [hyper(230,a,109,a),flip(a)]. 622 ((x * x) \ y) \ z = y \ ((x * x) * z). [hyper(120,a,153,a(flip),b,109,a(flip)),flip(a)]. 623 ((x * x) * y) / z = (x * x) * (y / z). [para(12(a,1),110(a,1,1,2))]. 624 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(65,a,94,a(flip),b,226,a)]. 625 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(226(a,1),14(a,2,1,2)),flip(a)]. 626 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),226(a,1,2,1))]. 628 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(106(a,1),226(a,1,2,1)),flip(a)]. 629 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(214(a,1),226(a,1,2,1)),flip(a)]. 630 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(105(a,1),226(a,1,2,1))]. 632 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(290,a,100,a(flip),b,227,a),flip(a)]. 633 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(120,a,100,a(flip),b,227,a)]. 634 R(T(x,x * x),x,x) = x. [hyper(36,a,100,a(flip),b,227,a),flip(a)]. 636 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(106(a,1),227(a,1,2,1)),flip(a)]. 637 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(214(a,1),227(a,1,2,1)),flip(a)]. 638 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(105(a,1),227(a,1,2,1))]. 639 R(L(x,x,x),x,x) = x. [para(107(a,1),634(a,1,1))]. 641 ((x * x) \ y) * (z * (x * x)) = T(y * z,x * x). [hyper(229,a,35,a,b,109,a),flip(a)]. 642 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(259,a,238,a)]. 643 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(358(a,1),239(a,1,1)),flip(a)]. 644 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(101(a,1),239(a,1,1))]. 645 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(277(a,1),239(a,1,1)),flip(a)]. 646 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(524(a,1),239(a,1,1)),flip(a)]. 647 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(283(a,1),49(a,1))]. 648 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(309,a,284,a)]. 649 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(121,a,285,a,b,xx)]. 650 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(229,a,286,a,b,104,a)]. 651 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(286(a,2),18(a,2,1)),flip(a)]. 654 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(287(a,1),268(a,1,2))]. 656 K(x \ (x * y),x) = K(y,x). [hyper(290,a,90,a(flip),b,392,a)]. 657 K(x \ (x * y),z) = K(y,z). [para(69(a,1),656(a,1,1)),flip(a)]. 658 K((x / y) \ x,z) = K(y,z). [para(12(a,1),657(a,1,1,2))]. 659 (x * y) \ ((x * (y * z)) * (u * u)) = L(z,y,x) * (u * u). [para(18(a,2),399(a,2,1))]. 660 ((x * x) \ y) * (x * x) != z | T(y,x * x) = z. [para(399(a,1),311(a,1))]. 661 ((x * x) \ x) * y = L(x \ y,x,x). [hyper(65,a,96,a,b,400,a),flip(a)]. 662 (((x \ 1) * (x \ 1)) \ y) * z = ((x \ 1) / x) \ (y * z). [para(444(a,1),400(a,1,1)),flip(a)]. 663 L(x \ y,x,x) = (1 / x) * y. [para(441(a,1),661(a,1,1)),flip(a)]. 664 (1 / x) * (x \ y) = (x * x) \ y. [hyper(65,a,273,a(flip),b,663,a),flip(a)]. 665 (1 / x) * (x * y) = L(y,x,x). [para(9(a,1),663(a,1,1)),flip(a)]. 666 L(T(x,y),y,y) = (1 / y) * (x * y). [para(22(a,2),663(a,1,1))]. 667 L(T(x \ y,z),x,x) = T((1 / x) * y,z). [para(663(a,1),25(a,2,1))]. 668 L(R(x \ y,z,u),x,x) = R((1 / x) * y,z,u). [para(663(a,1),29(a,1,1)),flip(a)]. 669 L(L(x \ y,z,u),x,x) = L((1 / x) * y,z,u). [para(663(a,1),30(a,1,1)),flip(a)]. 671 (1 / x) \ L(y,x,x) = x * y. [hyper(125,a,665,a)]. 672 (1 / x) * ((x * x) * y) = L(x,x,x) * y. [para(665(a,1),34(a,1,1)),flip(a)]. 673 L(x \ y,x,x) != z | (1 / x) * y = z. [para(665(a,1),308(a,1))]. 674 (1 / x) \ y != x * z | L(z,x,x) = y. [para(671(a,1),49(a,1)),flip(a)]. 675 ((x \ 1) * (x \ 1)) \ y = x * ((x \ 1) \ y). [hyper(316,a,664,a),flip(a)]. 676 x \ ((x * x) * y) = (1 / x) \ y. [hyper(120,a,9,a(flip),b,664,a),flip(a)]. 677 x * ((1 / x) \ y) = (x * x) * y. [hyper(141,a,676,a)]. 678 ((1 / x) \ y) \ ((x * x) * y) = T(x,(1 / x) \ y). [hyper(229,a,677,a,b,10,a),flip(a)]. 679 ((x \ 1) * (x \ 1)) * y = (x \ 1) * (x \ y). [para(78(a,1),677(a,1,2,1)),flip(a)]. 681 (x * (y * (z * z))) \ u = (z * z) \ ((x * y) \ u). [para(35(a,1),403(a,1,1))]. 682 (x * x) \ ((y \ 1) \ z) = (y \ (x * x)) \ z. [para(405(a,1),403(a,1,1)),flip(a)]. 683 (((x * x) * y) * z) \ u = (y * z) \ ((x * x) \ u). [para(33(a,2),404(a,1,1))]. 684 (x * y) / (z * (y * y)) = R(x / y,y,y) / z. [para(101(a,2),407(a,1,1)),flip(a)]. 685 x / ((y * y) \ z) = (x / z) * (y * y). [para(10(a,1),412(a,1,1,2)),flip(a)]. 686 x / (((y * y) \ z) * u) = (x / (z * u)) * (y * y). [para(109(a,1),412(a,1,1,2)),flip(a)]. 687 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(65,a,286,a(flip),b,418,a)]. 688 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(419(a,1),241(a,1,1)),flip(b)]. 689 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(419(a,1),314(a,1,1)),flip(b)]. 691 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(106(a,1),423(a,1,1,2)),flip(a)]. 692 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(423(a,1),314(a,1,1)),flip(b)]. 693 ((x * x) \ y) * ((x * x) * z) = T(y,x * x) * z. [para(621(a,1),34(a,1,1)),flip(a)]. 694 (((x * x) \ y) * z) \ u = (y * z) \ ((x * x) * u). [para(400(a,1),622(a,1,1))]. 695 (x * x) * ((((x * x) \ y) * z) / u) = (y * z) / u. [para(109(a,1),623(a,1,1)),flip(a)]. 696 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(649(a,1),48(a,1)),flip(a)]. 697 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(649(a,1),241(a,1,1)),flip(b)]. 699 L(x,y,y) != z | (1 / y) * (y * x) = z. [para(9(a,1),673(a,1,1))]. 700 (x * ((y * y) \ z)) / z = x / (y * y). [hyper(294,a,685,a),flip(a)]. 701 (x / y) * (y * y) = x / (1 / y). [para(441(a,1),685(a,1,2)),flip(a)]. 702 x * ((x \ y) * (x \ y)) = y / (1 / (x \ y)). [hyper(316,a,701,a)]. 703 (x * y) / (1 / y) = x * (y * y). [para(11(a,1),701(a,1,1)),flip(a)]. 704 (x / y) * ((y * y) * z) = (x / (1 / y)) * z. [para(701(a,1),34(a,1,1)),flip(a)]. 705 (x \ (y / z)) * (z * z) = x \ (y / (1 / z)). [para(701(a,1),399(a,1,2)),flip(a)]. 706 (x * x) \ ((y / x) \ z) = (y / (1 / x)) \ z. [para(701(a,1),403(a,1,1)),flip(a)]. 707 (x / (y * y)) * z = x * ((y * y) \ z). [hyper(139,a,700,a)]. 708 ((x * ((y * y) \ z)) * u) / (z * u) = R(x / (y * y),z,u). [para(700(a,1),101(a,1,1)),flip(a)]. 709 ((x * (y / (z * z))) * u) / (y * ((z * z) \ u)) = R(x,y / (z * z),u). [para(707(a,1),20(a,2,2)),flip(a)]. 710 x * ((x * x) \ y) = (x \ 1) * y. [para(434(a,1),707(a,1,1)),flip(a)]. 711 (x / ((y * y) * z)) * u = (x / z) * ((y * y) \ u). [para(408(a,1),707(a,1,1))]. 712 x \ ((x \ 1) * y) = (x * x) \ y. [hyper(125,a,710,a)]. 713 (x * x) \ (x \ 1) = x \ ((x \ 1) / x). [hyper(120,a,444,a(flip),b,710,a),flip(a)]. 714 (x * x) \ 1 = x \ (x \ 1). [hyper(120,a,8,a(flip),b,710,a),flip(a)]. 715 (x \ 1) * (y * (x * x)) = x * T(y,x * x). [para(22(a,2),710(a,1,2)),flip(a)]. 716 x * (((x * x) \ y) * z) = (x \ 1) * (y * z). [para(400(a,1),710(a,1,2))]. 717 x * ((1 / x) * (x \ y)) = (x \ 1) * y. [para(664(a,2),710(a,1,2))]. 718 x / (y \ (y \ 1)) = x * (y * y). [para(714(a,1),410(a,1,2))]. 719 (x \ (x \ 1)) \ y = (x * x) * y. [para(714(a,1),609(a,1,1))]. 720 1 / (x * x) = x \ (x \ 1). [hyper(443,a,718,a)]. 721 x * (y \ (y \ 1)) = x / (y * y). [hyper(295,a,718,a)]. 722 (x * x) * (y * (x \ (x \ 1))) = T(y,x \ (x \ 1)). [hyper(311,a,719,a),flip(a)]. 723 (x \ (x \ 1)) * y = (x * x) \ y. [hyper(306,a,719,a)]. 724 (x \ 1) * (x * y) = x * ((1 / x) * y). [para(9(a,1),717(a,1,2,2)),flip(a)]. 725 x * ((1 / x) * T(y,x)) = (x \ 1) * (y * x). [para(22(a,2),717(a,1,2,2))]. 726 ((x \ 1) * x) \ (x * ((1 / x) * y)) = L(y,x,x \ 1). [hyper(120,a,724,a(flip),b,94,a)]. 727 (x * ((1 / x) * y)) * L(z,x * y,x \ 1) = (x \ 1) * ((x * y) * z). [para(724(a,1),94(a,1,1))]. 729 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(121,a,152,a(flip),b,86,a)]. 730 (x * y) / a(x / z,z,y) = (x / z) * (z * y). [hyper(121,a,151,a(flip),b,86,a)]. 731 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),86(a,1,1,2))]. 732 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(72(a,1),86(a,1,1))]. 733 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(86(a,1),307(a,1,2))]. 734 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(100(a,1),86(a,1,1))]. 735 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(95(a,1),164(a,1)),flip(b)]. 736 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(104(a,1),95(a,1,2,2)),flip(a)]. 738 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(208(a,2),95(a,1,2,2,1))]. 740 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(10(a,1),99(a,2,2))]. 741 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(251(a,1),207(a,1,2))]. 742 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(141,a,741,a)]. 743 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(742(a,1),307(a,1,2))]. 744 L(T(x,y),y,x) = T(x,x * y). [hyper(311,a,221,a),flip(a)]. 745 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(290,a,25,a(flip),b,221,a),flip(a)]. 746 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(100(a,1),221(a,1,2))]. 747 T(L(x,y,x),y) = T(x,x * y). [hyper(65,a,25,a(flip),b,744,a)]. 748 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(744(a,1),29(a,1,1)),flip(a)]. 749 x * T(y,y * x) = L(y,x,y) * x. [para(744(a,1),226(a,1,2))]. 750 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(744(a,2),227(a,1,2,1))]. 751 T((x * y) / x,y * x) = L(y,x,y). [hyper(42,a,258,a,b,747,a)]. 752 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(747(a,1),25(a,1,1)),flip(a)]. 753 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(10(a,1),751(a,1,2))]. 754 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(751(a,1),23(a,1,1)),flip(a)]. 755 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(356(a,2),94(a,1,2))]. 756 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(246,a,359,a),flip(a)]. 757 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(383,a,363,a),flip(a)]. 758 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),378(a,1,2,1))]. 759 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(230,a,388,a),flip(a)]. 760 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(388(a,1),202(a,1))]. 761 L(x,1 / x,y) != z | (y * (1 / x)) \ y = z. [para(81(a,1),760(a,1,1))]. 762 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(104(a,2),430(a,1,2))]. 763 L(T((1 / x) \ y,x),x,x) = y * L(x,(1 / x) \ y,1 / x). [hyper(290,a,666,a,b,445,a)]. 764 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(30(a,1),445(a,1,2))]. 765 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(445(a,1),45(a,1))]. 766 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(445(a,1),307(a,1,2))]. 767 L(x \ y,x,y / x) = T(y / x,y). [hyper(229,a,153,a(flip),b,446,a),flip(a)]. 768 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(290,a,14,a,b,480,a)]. 769 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(480(a,1),25(a,2,1))]. 770 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(480(a,1),29(a,1,1)),flip(a)]. 771 L((x \ y) \ ((x * x) \ z),x \ y,x) = y \ ((x \ 1) * z). [para(710(a,1),480(a,2,2))]. 772 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(18(a,2),481(a,1,1))]. 773 K(x,y) = L(x \ T(x,y),x,y). [hyper(290,a,16,a,b,484,a)]. 775 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(10(a,1),490(a,1,2))]. 776 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(490(a,1),300(a,1,2)),flip(b)]. 777 x \ (y * (z \ (1 / z))) = (x \ y) * (z \ (1 / z)). [para(518(a,1),490(a,1,1))]. 778 R((x * y) / z,z,K(y,x)) = (y * x) / (z * ((x * y) \ (y * x))). [para(16(a,2),525(a,1,3))]. 779 (x * (y * y)) / z = x / (z / (y * y)). [hyper(517,a,527,a),flip(a)]. 780 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(527(a,1),27(a,2,1))]. 781 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(527(a,1),31(a,1,1)),flip(a)]. 782 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(210(a,2),527(a,1,1,2))]. 783 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(527(a,1),239(a,1,1)),flip(a)]. 784 (x * (y * y)) / y = x / (y \ 1). [para(434(a,1),779(a,2,2))]. 785 R(x,y,y) / (y \ 1) = x * y. [hyper(65,a,276,a(flip),b,784,a),flip(a)]. 786 R(x / y,y,y) = x * (y \ 1). [hyper(295,a,785,a),flip(a)]. 787 (x * y) * (y \ 1) = R(x,y,y). [hyper(139,a,785,a)]. 788 R(x,y,y \ 1) = R(x,y,y). [hyper(39,a,406,a,b,785,a)]. 789 (x \ 1) \ R(y,x,x) = T(y * x,x \ 1). [para(785(a,1),106(a,1,1)),flip(a)]. 790 L(x,x,x) * x = x / (x \ 1). [para(639(a,1),785(a,1,1)),flip(a)]. 791 a(x,y,y \ 1) = x \ R(x,y,y). [hyper(120,a,788,a(flip),b,742,a),flip(a)]. 792 (x / y) * (y \ 1) = x / (y * y). [hyper(65,a,277,a(flip),b,786,a),flip(a)]. 793 R(x,T(y,x),T(y,x)) = (y * x) * (T(y,x) \ 1). [para(182(a,1),786(a,1,1))]. 794 x * L(x,x,x) = x / (x \ 1). [hyper(65,a,235,a(flip),b,790,a)]. 795 (x \ 1) \ (y / (x * x)) = T(y / x,x \ 1). [hyper(229,a,792,a,b,10,a),flip(a)]. 796 x / ((1 / y) * (1 / y)) = (x / (1 / y)) * y. [para(81(a,1),792(a,1,2)),flip(a)]. 798 (x * y) / (z * z) = x * (y / (z * z)). [para(447(a,1),544(a,1,2))]. 799 (x * y) / (z * z) != x * u | y / (z * z) = u. [para(798(a,2),45(a,1))]. 800 (x * (y / (z * z))) * u = (x * y) * ((z * z) \ u). [para(798(a,1),707(a,1,1))]. 801 x * (y * (z \ (z \ 1))) = (x * y) / (z * z). [para(721(a,2),798(a,2,2)),flip(a)]. 802 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(545(a,1),310(a,1,1))]. 803 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(182(a,1),611(a,1,1,1))]. 804 (x / (y * y)) \ z = (y * y) * (x \ z). [para(493(a,1),611(a,1,1))]. 805 (x * x) * (x \ y) = (x \ 1) \ y. [para(434(a,1),804(a,1,1)),flip(a)]. 806 (x * (y / (z * z))) \ u = (z * z) * ((x * y) \ u). [para(798(a,1),804(a,1,1))]. 807 (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(120,a,805,a(flip),b,677,a),flip(a)]. 808 (x \ 1) \ (x * y) = (x * x) * y. [para(9(a,1),805(a,1,2)),flip(a)]. 809 (x \ 1) \ (y * x) = (x * x) * T(y,x). [para(22(a,2),805(a,1,2)),flip(a)]. 810 (x * x) * ((x \ y) * z) = ((x \ 1) \ y) * z. [para(805(a,1),33(a,1,1)),flip(a)]. 811 (x \ 1) \ ((x * x) * y) = (x * x) * ((1 / x) \ y). [para(676(a,1),805(a,1,2)),flip(a)]. 812 (x \ y) \ ((x * x) \ z) = ((x \ 1) \ y) \ z. [para(805(a,1),404(a,1,1)),flip(a)]. 813 (x \ 1) \ (((x \ 1) \ 1) \ y) = x \ ((x \ 1) \ y). [para(78(a,1),807(a,1,1)),flip(a)]. 814 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(9(a,1),644(a,2,1)),flip(a)]. 815 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(645(a,1),331(a,1,1)),flip(a)]. 816 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(65,a,251,a,b,646,a)]. 817 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(9(a,1),646(a,1,1)),flip(a)]. 819 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(65,a,666,a(flip),b,667,a)]. 820 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(120,a,667,a(flip),b,665,a)]. 821 T((1 / x) * ((x * x) * y),z) = L(T((1 / x) \ y,z),x,x). [para(676(a,1),667(a,1,1,1)),flip(a)]. 822 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(644(a,1),689(a,1,1))]. 823 T(T(x,y),x) != z | T(x,y) = z. [para(11(a,1),692(a,1,1,1))]. 824 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(215(a,1),692(a,1,1,1))]. 825 T((x \ y) \ y,z) != u | T(T(x,x \ y),z) = u. [para(287(a,1),824(a,1))]. 826 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(12(a,1),745(a,1,1)),flip(a)]. 827 R(1 / x,x,y) != z | y / (x * y) = z. [para(756(a,1),202(a,1))]. 828 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(814(a,2),104(a,1,2)),flip(a)]. 830 T(R(x,y,x),y * x) = T(x,y). [para(814(a,2),258(a,1,1))]. 831 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(814(a,2),418(a,1,1))]. 832 R(T(x,y * x),y,x) = T(x,y). [hyper(65,a,27,a,b,830,a)]. 833 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(830(a,1),226(a,1,2,1)),flip(a)]. 834 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(830(a,1),227(a,1,2,1)),flip(a)]. 835 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(830(a,1),149(a,1)),flip(a)]. 836 R(T(x,y),y / x,x) = T(x,y / x). [para(12(a,1),832(a,1,1,2))]. 837 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(836(a,1),53(a,1)),flip(a)]. 838 T((x * y) * (x \ 1),x) = R(y,x,x). [hyper(290,a,788,a(flip),b,817,a),flip(a)]. 839 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(259,a,817,a)]. 840 (x * y) * T(y,x) = (y * x) * y. [hyper(65,a,100,a(flip),b,831,a),flip(a)]. 841 (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). [para(104(a,2),831(a,2,1)),flip(a)]. 842 ((x \ y) * x) * (x \ y) = y * T(x \ y,x). [hyper(567,a,840,a),flip(a)]. 843 T(x,1 / x) / x = x * (1 / x). [hyper(385,a,840,a)]. 844 (x * (y / x)) * x = y * T(x,y / x). [hyper(296,a,840,a),flip(a)]. 845 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(120,a,70,a(flip),b,840,a)]. 846 T(x,1 / x) / x = K(x,1 / x). [hyper(290,a,250,a,b,843,a),flip(a)]. 847 K(x \ 1,x) \ x = T(x,x \ 1). [para(248(a,2),845(a,1,1))]. 848 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(290,a,105,a(flip),b,847,a),flip(a)]. 849 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(141,a,848,a)]. 850 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(290,a,27,a,b,108,a)]. 851 R(x,1 / y,y) != z | (x * (1 / y)) * y = z. [para(169(a,1),140(a,2))]. 854 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(104(a,1),267(a,1,2))]. 855 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(12(a,1),271(a,1,1))]. 856 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(25(a,1),271(a,1,2))]. 857 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),271(a,1,2))]. 858 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(30(a,1),271(a,1,2))]. 859 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(79(a,1),271(a,1))]. 861 (x * y) * (z * z) != u | x * (y * (z * z)) = u. [para(447(a,1),271(a,1,2))]. 864 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(89(a,1),459(a,1,1)),flip(a)]. 865 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(10(a,1),463(a,1,2,2))]. 866 (x * ((y * y) * z)) \ (x * ((y * y) * (z * u))) != w | L(u,(y * y) * z,x) = w. [para(33(a,1),463(a,1,2,2))]. 867 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(104(a,1),463(a,1,1))]. 868 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(94(a,1),463(a,1,2,2))]. 869 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(86(a,1),463(a,1,2,2))]. 871 (x * (y \ z)) * T(y,y \ z) != u * z | R(x,y \ z,T(y,y \ z)) = u. [para(213(a,1),503(a,2,2))]. 872 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(278(a,1),503(a,2,2))]. 873 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(85(a,1),509(a,1,1))]. 874 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(136,a,629,a),flip(a)]. 875 L((x * y) / x,z \ x,z) = (z * ((z \ x) * y)) / x. [hyper(121,a,445,a(flip),b,629,a),flip(a)]. 876 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(121,a,94,a(flip),b,629,a),flip(a)]. 877 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(65,a,359,a(flip),b,636,a)]. 878 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(267,a,637,a)]. 879 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(136,a,637,a),flip(a)]. 880 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(65,a,331,a(flip),b,637,a)]. 881 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(121,a,637,a(flip),b,331,a(flip))]. 883 L(x,y,z) != (u * L(u \ w,y,z)) / u | w / u = x. [para(642(a,2),52(a,1)),flip(a)]. 884 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(642(a,1),241(a,1,1)),flip(b)]. 885 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(208(a,1),642(a,1,1,2))]. 886 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(642(a,1),314(a,1,1)),flip(b)]. 887 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(96(a,1),642(a,1,1,2))]. 888 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(273(a,1),642(a,1,1,2)),flip(a)]. 889 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(353(a,1),642(a,1,1,2))]. 890 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(478(a,1),642(a,1,1,2))]. 891 (x * ((1 / x) * y)) / x = L(y / x,x,x). [para(663(a,1),642(a,1,1,2))]. 892 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(773(a,2),642(a,1,1,2)),flip(a)]. 893 L(1 / x,x,y) * x != z | x * ((y * x) \ y) = z. [para(885(a,1),241(a,1,1)),flip(b)]. 894 L((x \ y) / x,x,x) = ((x \ 1) * y) / x. [para(717(a,1),891(a,1,1)),flip(a)]. 895 ((x \ 1) / x) \ y = x * ((x \ 1) \ y). [para(444(a,1),675(a,1,1))]. 896 (x \ 1) * (x \ ((x \ 1) \ y)) = ((x \ 1) \ 1) \ y. [hyper(65,a,805,a(flip),b,679,a),flip(a)]. 898 ((x \ 1) / x) * y = (x \ 1) * (x \ y). [para(444(a,1),679(a,1,1))]. 899 (x \ 1) * y != ((x \ 1) / x) * z | x \ z = y. [para(898(a,2),45(a,1)),flip(a)]. 900 (x \ 1) * (x \ 1) != y | (x \ 1) / x = y. [para(898(a,1),132(a,1)),flip(b)]. 902 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(259,a,691,a)]. 903 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(691(a,1),104(a,1,2)),flip(a)]. 904 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(691(a,1),216(a,1,2,2))]. 905 (x \ (y / z)) * ((z * z) * u) = (x \ (y / (1 / z))) * u. [para(705(a,1),34(a,1,1)),flip(a)]. 907 ((x * x) \ y) * x = (1 / x) * T(y,x). [hyper(36,a,716,a,b,725,a)]. 908 T(x,y) * T(1 / y,T(x,y)) = ((y * y) \ x) * y. [hyper(290,a,104,a,b,907,a)]. 909 ((x * x) \ T(y,1 / x)) * x = T(y,x) * (1 / x). [hyper(290,a,225,a(flip),b,907,a),flip(a)]. 910 T(((1 / x) * y) / (1 / x),x) = (((x * x) \ y) * x) / (1 / x). [hyper(121,a,907,a,b,418,a),flip(a)]. 911 ((T(x,x \ 1) * T(x,x \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,T(x,x \ 1)). [para(254(a,1),907(a,2,1))]. 912 x / (y \ (1 / y)) = (x / (1 / y)) * y. [para(413(a,1),796(a,1,2))]. 913 (x * y) * (z \ (z \ 1)) = x * (y * (z \ (z \ 1))). [hyper(290,a,721,a,b,801,a)]. 915 (x * x) * (((x \ y) * z) / u) = (((x \ 1) \ y) * z) / u. [para(810(a,1),623(a,1,1)),flip(a)]. 916 (x \ 1) \ T(y * (x \ 1),x) != z | T((x \ y) * x,x \ 1) = z. [para(816(a,1),311(a,1,2))]. 917 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(106(a,1),850(a,1,1,1)),flip(a)]. 918 x \ (y * z) != u | L((y \ x) \ z,y \ x,y) = u. [para(10(a,1),865(a,1,1))]. 919 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(874(a,2),241(a,1,1)),flip(b)]. 920 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(874(a,1),94(a,1,2))]. 921 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(96(a,1),874(a,2,1,2))]. 922 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(355(a,1),874(a,2,1,2))]. 923 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(478(a,1),874(a,2,1,2))]. 924 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(479(a,1),874(a,2,1,2))]. 925 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(480(a,1),874(a,2,1,2))]. 926 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(879(a,2),241(a,1,1)),flip(b)]. 927 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(210(a,1),879(a,2,1,2))]. 928 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(94(a,1),879(a,1,1,1)),flip(a)]. 929 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(277(a,1),879(a,2,1,2))]. 931 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(523(a,1),879(a,2,1,2))]. 932 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(524(a,1),879(a,2,1,2))]. 933 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(879(a,1),267(a,1,1))]. 934 (x * y) / a(z,z \ x,y) != u | z * ((z \ x) * y) = u. [para(87(a,1),300(a,1,2)),flip(b)]. 935 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(65,a,423,a(flip),b,223,a)]. 936 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(223(a,1),418(a,1,1,1))]. 937 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(290,a,96,a(flip),b,357,a),flip(a)]. 938 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(352(a,1),357(a,1,1)),flip(a)]. 939 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(357(a,1),94(a,1,2))]. 940 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(10(a,1),938(a,1,1,1))]. 941 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(445(a,1),379(a,1))]. 943 (x * y) * T(z * z,u) = x * (y * T(z * z,u)). [para(447(a,1),456(a,1,2,1))]. 944 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(96(a,1),456(a,1,2,1))]. 945 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(273(a,1),456(a,1,2,1))]. 947 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(744(a,1),456(a,1,2,1))]. 948 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(483(a,1),25(a,2,1))]. 949 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(483(a,1),29(a,1,1)),flip(a)]. 950 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(483(a,1),30(a,1,1)),flip(a)]. 951 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(104(a,1),499(a,1,2))]. 952 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(529(a,1),850(a,2,1))]. 953 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(104(a,1),540(a,1,2))]. 954 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(479(a,1),548(a,1,2,1)),flip(a)]. 955 T(R(x / (1 / y),1 / y,y),z) / y = (1 / y) * T((1 / y) \ x,z). [hyper(290,a,417,a(flip),b,556,a),flip(a)]. 956 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(559(a,1),271(a,1,2))]. 957 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(591(a,2),446(a,1,2)),flip(a)]. 958 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(592(a,2),331(a,1,1))]. 960 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(121,a,612,a(flip),b,251,a)]. 961 R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(78(a,1),612(a,1,1,1))]. 962 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(120,a,86,a(flip),b,632,a),flip(a)]. 963 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(632(a,1),45(a,1)),flip(a)]. 964 (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. [para(632(a,1),307(a,1,2))]. 965 ((x * (y * y)) \ (z * x)) * (y * y) = R(T(z,x * (y * y)),x,y * y). [hyper(65,a,399,a(flip),b,633,a)]. 966 (x * y) / a(z \ 1,(z \ 1) \ x,y) = z * (((z * z) \ ((z \ 1) \ x)) * y). [hyper(290,a,716,a,b,729,a),flip(a)]. 967 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(104(a,1),729(a,1,1))]. 968 (x * y) / a(x / (1 / z),1 / z,y) = (x / z) * ((z * z) * ((1 / z) * y)). [hyper(290,a,704,a,b,730,a),flip(a)]. 969 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(121,a,731,a(flip),b,104,a)]. 970 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(290,a,25,a(flip),b,752,a),flip(a)]. 971 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(290,a,25,a,b,754,a),flip(a)]. 972 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(481(a,1),826(a,1,1)),flip(a)]. 976 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(12(a,1),888(a,2,1,2,1))]. 977 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(22(a,2),888(a,2,1,2))]. 978 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(219(a,1),888(a,2,1,2))]. 979 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(30(a,1),970(a,1,1))]. 980 T(T(x,y),x * x) = L(T(x,y),x,x). [para(11(a,1),971(a,1,1,1))]. 982 (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). [para(979(a,1),456(a,1,2))]. 983 (x * y) * ((z * z) * (u * u)) = x * ((y * (z * z)) * (u * u)). [hyper(861,a,118,a),flip(a)]. 984 ((x * (y * y)) * x) * ((y * y) * ((x * (y * y)) \ z)) = ((x * (y * y)) \ 1) \ z. [hyper(65,a,805,a(flip),b,118,a),flip(a)]. 985 (x * (y * (z * (u * u)))) * w = (x * (y * z)) * ((u * u) * w). [para(35(a,1),118(a,1,1,2))]. 986 (x * y) * (((1 / y) * (1 / y)) * z) = (x * (1 / y)) * z. [para(209(a,1),118(a,1,1,2)),flip(a)]. 987 (x * (y / z)) * ((z * z) * u) = (x * (y / (1 / z))) * u. [para(701(a,1),118(a,1,1,2)),flip(a)]. 988 ((x \ 1) * y) * ((x * x) * z) = (x * T(y,x * x)) * z. [para(715(a,1),118(a,1,1)),flip(a)]. 989 (x * x) * (T(y,x * x) * z) = y * ((x * x) * z). [hyper(290,a,34,a(flip),b,228,a),flip(a)]. 990 ((x * x) \ y) \ z != u | y \ ((x * x) * z) = u. [para(449(a,1),586(a,1))]. 991 T(x,(y * y) \ z) != u | z \ ((y * y) * (x * ((y * y) \ z))) = u. [para(22(a,2),990(a,1))]. 992 (1 / x) \ y != z | x \ ((x * x) * y) = z. [para(441(a,1),990(a,1,1))]. 993 T(x * (y / (z * z)),z * z) = ((z * z) \ x) * y. [para(12(a,1),641(a,1,2)),flip(a)]. 994 (1 / x) * (y * (x * x)) = T(x * y,x * x). [para(441(a,1),641(a,1,1))]. 995 ((x * x) \ y) * L(x,x,x) = T(y * (1 / x),x * x). [para(665(a,1),641(a,1,2))]. 996 T(x * ((y * y) \ z),y * y) = ((y * y) \ x) * T(z,y * y). [para(621(a,1),641(a,1,2)),flip(a)]. 997 T(x * ((x * x) \ y),x * x) = (1 / x) * T(y,x * x). [para(621(a,1),994(a,1,2)),flip(a)]. 998 (((x * ((y * y) \ z)) * u) / (z * u)) * (y * y) = R(x,(y * y) \ z,u). [hyper(509,a,686,a),flip(a)]. 999 (x * y) \ ((x * x) * z) = ((1 / x) * y) \ z. [para(441(a,1),694(a,1,1,1)),flip(a)]. 1000 ((1 / x) * y) \ (x \ z) = (x * y) \ ((x \ 1) \ z). [para(805(a,1),999(a,1,2)),flip(a)]. 1001 (((x * x) \ y) * z) / u = (x * x) \ ((y * z) / u). [hyper(125,a,695,a),flip(a)]. 1002 (x * x) * (y / (x * x)) = T(y,x \ (x \ 1)). [para(721(a,1),722(a,1,2))]. 1003 (1 / x) \ (y / (x * x)) = x \ T(y,x \ (x \ 1)). [hyper(120,a,1002,a(flip),b,677,a),flip(a)]. 1004 (x * x) * ((y / (x * x)) * z) = T(y,x \ (x \ 1)) * z. [para(1002(a,1),33(a,1,1)),flip(a)]. 1005 (x * x) * (y / ((x * x) * z)) = T(y / z,x \ (x \ 1)). [para(408(a,1),1002(a,1,2))]. 1006 (x * x) * (y * (z / (x * x))) = T(y * z,x \ (x \ 1)). [para(798(a,1),1002(a,1,2))]. 1007 K(x * x,x) != y | a(x,x,x) = y. [para(16(a,2),733(a,1))]. 1009 (x * y) * ((y * y) \ z) = (x * (y \ 1)) * z. [para(434(a,1),800(a,1,1,2)),flip(a)]. 1010 (x * (y \ 1)) * y = (x * y) * (1 / y). [para(441(a,1),1009(a,1,2)),flip(a)]. 1011 (x * y) * (((y * y) \ z) * u) = (x * (y \ 1)) * (z * u). [para(400(a,1),1009(a,1,2))]. 1012 (x * y) * (1 / y) != z * y | x * (y \ 1) = z. [para(1010(a,1),46(a,1))]. 1013 x \ ((x \ 1) \ ((((x \ 1) \ 1) * ((x \ 1) \ 1)) * y)) = (x \ 1) \ ((1 / ((x \ 1) \ 1)) \ y). [para(676(a,1),813(a,1,2)),flip(a)]. 1014 (x \ 1) \ (((x \ 1) \ 1) \ R(y,x,x)) = x \ T(y * x,x \ 1). [para(789(a,1),813(a,2,2))]. 1016 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(10(a,1),820(a,1,2,1)),flip(a)]. 1017 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),902(a,1,1,2,1,2))]. 1018 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(902(a,1),241(a,1,1)),flip(b)]. 1020 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(65,a,406,a,b,903,a)]. 1021 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(78(a,1),903(a,1,1,1,2)),flip(a)]. 1022 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(101(a,2),903(a,1,1,1,2))]. 1023 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(81(a,1),904(a,1,2,2,1,2))]. 1024 L(x \ (x \ 1),y,z) = x \ (x \ 1). [hyper(459,a,913,a)]. 1025 (x \ y) \ ((x \ y) \ 1) = y \ (x * ((x \ y) \ 1)). [hyper(586,a,1024,a),flip(a)]. 1026 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(101(a,1),917(a,1,1,1))]. 1027 x \ (y * T(z * z,u)) = (x \ y) * T(z * z,u). [hyper(617,a,943,a)]. 1029 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(758,a,954,a),flip(a)]. 1030 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(268,a,954,a),flip(a)]. 1031 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(125,a,954,a)]. 1032 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),954(a,2,2,1))]. 1033 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),954(a,2,2,1))]. 1034 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(290,a,417,a(flip),b,960,a),flip(a)]. 1035 (x * x) * (T(y,x * x) \ z) = y \ ((x * x) * z). [hyper(601,a,989,a),flip(a)]. 1036 (x * x) * y != z * ((x * x) * u) | T(z,x * x) * u = y. [para(989(a,1),45(a,1)),flip(a)]. 1037 ((1 / x) \ y) \ ((x * (1 / x)) \ ((x \ 1) \ z)) = (((1 / x) \ 1) \ y) \ (x \ z). [para(1000(a,1),812(a,1,2))]. 1038 x \ ((x * x) * T(y,(1 / x) \ ((1 / x) \ 1))) = (1 / (1 / x)) \ (y / ((1 / x) * (1 / x))). [hyper(290,a,676,a,b,1003,a)]. 1039 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(1016(a,1),393(a,1,2))]. 1040 (x \ (y * ((y \ x) \ 1))) \ z = ((y \ x) * (y \ x)) * z. [para(1025(a,1),719(a,1,1))]. 1041 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [hyper(141,a,1029,a),flip(a)]. 1042 T(x,y) * (x \ 1) = x \ T(x,y). [para(72(a,1),1029(a,1,2,1)),flip(a)]. 1043 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(106(a,1),1042(a,1,1)),flip(a)]. 1044 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(141,a,1030,a)]. 1045 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(10(a,1),1030(a,1,2,1)),flip(a)]. 1046 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(12(a,1),1030(a,1,2,1))]. 1047 x \ T(x * (((x \ 1) \ 1) \ y),x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). [para(807(a,2),1030(a,2,1))]. 1048 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(1031(a,1),245(a,1,2)),flip(b)]. 1049 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(121,a,1033,a(flip),b,417,a)]. 1050 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(290,a,954,a(flip),b,1034,a),flip(a)]. 1051 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(139,a,1034,a)]. 1052 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(7(a,1),1034(a,1,1,1))]. 1053 (x * x) \ (y \ ((x * x) * z)) = T(y,x * x) \ z. [hyper(125,a,1035,a)]. 1054 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(106(a,1),1043(a,1,2)),flip(a)]. 1055 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1054(a,1),45(a,1))]. 1057 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(9(a,1),1051(a,1,1,2,1)),flip(a)]. 1058 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(103(a,1),1057(a,2,1,2))]. 1059 K((x * y) * (x \ 1),y) = 1. [hyper(57,a,1058,a)]. 1060 K(((1 / x) * y) * x,y) = 1. [para(81(a,1),1059(a,1,1,2))]. 1061 K(x * y,(1 / y) \ x) = 1. [para(10(a,1),1060(a,1,1,1))]. 1062 T(x * y,(1 / y) \ x) = x * y. [hyper(58,a,1061,a)]. 1063 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(208(a,1),457(a,1,2,1))]. 1064 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(96(a,1),457(a,1,2,1))]. 1065 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(273(a,1),457(a,1,2,1))]. 1066 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(273(a,1),458(a,1,2,1))]. 1067 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(559(a,1),464(a,1,2))]. 1069 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(101(a,1),500(a,1,1,1))]. 1071 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * ((y / z) * z). [para(527(a,1),500(a,1,1,1)),flip(a)]. 1072 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(101(a,1),501(a,1,1,1))]. 1073 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(1042(a,1),541(a,1,1,1))]. 1074 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(547(a,2),45(a,1))]. 1075 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(479(a,1),547(a,1,2,1)),flip(a)]. 1076 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(352(a,1),549(a,1,2,1))]. 1077 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(358(a,1),551(a,1,1,1))]. 1078 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(524(a,1),551(a,1,1,1))]. 1079 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(893,a,1077,a(flip)),flip(a)]. 1080 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(183,a,1079,a)]. 1081 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(208(a,1),1079(a,1,1))]. 1082 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(139,a,1081,a)]. 1083 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1082(a,1),281(a,1,1))]. 1084 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(10(a,1),1080(a,1,1,2,1))]. 1085 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(363(a,2),555(a,1,1,1))]. 1086 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(769(a,1),445(a,1,2)),flip(a)]. 1087 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(780(a,1),495(a,1,1)),flip(a)]. 1088 L((x * y) / x,z \ x,z) != u / x | z * ((z \ x) * y) = u. [para(875(a,2),48(a,1))]. 1089 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(361(a,1),881(a,1,1,2))]. 1090 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(419(a,1),919(a,1,1,1))]. 1091 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(10(a,1),926(a,1,1,1,1))]. 1092 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(748(a,1),626(a,1,2))]. 1093 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(36,a,227,a,b,638,a)]. 1094 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(120,a,1093,a(flip),b,333,a),flip(a)]. 1095 ((x \ 1) / x) \ (y * z) = (((x \ 1) / x) \ y) * z. [para(444(a,1),662(a,1,1,1)),flip(a)]. 1096 (((x \ 1) / x) \ y) * z = x * ((x \ 1) \ (y * z)). [hyper(65,a,895,a(flip),b,1095,a),flip(a)]. 1097 (x * ((x \ 1) \ y)) * z = x * ((x \ 1) \ (y * z)). [para(895(a,1),1096(a,1,1))]. 1098 T(x * ((x \ 1) \ y),x) = (x \ 1) \ (y * x). [hyper(229,a,1097,a,b,xx)]. 1102 (x * y) * T(z * z,u) != w | x * (y * T(z * z,u)) = w. [para(447(a,1),856(a,1,2,1))]. 1103 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(96(a,1),856(a,1,2,1))]. 1104 (x \ (y / z)) * (z * (z * (u * u))) = (x \ (y / (1 / z))) * (u * u). [para(35(a,1),905(a,1,2))]. 1105 (x * x) * (((x \ ((x \ 1) \ 1)) * y) / z) = ((((x \ 1) * (x \ 1)) \ 1) * y) / z. [para(714(a,2),915(a,2,1,1))]. 1106 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(378,a,947,a),flip(a)]. 1108 T(x,y) * (x * z) = x * (T(x,y) * z). [para(225(a,1),1106(a,1,2)),flip(a)]. 1109 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(601,a,1108,a)]. 1110 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(598,a,1108,a),flip(a)]. 1111 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(308,a,1108,a),flip(a)]. 1112 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(290,a,153,a(flip),b,1108,a),flip(a)]. 1113 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(229,a,1108,a,b,274,a)]. 1114 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(120,a,153,a(flip),b,1108,a)]. 1115 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(120,a,72,a(flip),b,1108,a),flip(a)]. 1116 (T(x,y) * x) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [hyper(120,a,1108,a(flip),b,94,a)]. 1117 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),1108(a,1,2)),flip(a)]. 1119 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(104(a,1),1108(a,1,2)),flip(a)]. 1120 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(106(a,1),1108(a,1,1)),flip(a)]. 1122 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(136,a,1115,a)]. 1123 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1122(a,1),1049(a,2,1))]. 1124 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(290,a,286,a(flip),b,1109,a),flip(a)]. 1125 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(125,a,1110,a)]. 1126 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1111(a,1),45(a,1))]. 1127 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(368,a,1112,a),flip(a)]. 1128 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(120,a,250,a,b,1112,a)]. 1129 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(36,a,279,a,b,1112,a),flip(a)]. 1130 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1112(a,1),307(a,1,2))]. 1132 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(106(a,1),1127(a,1,2,1))]. 1135 (x / y) \ (T(x / y,y) \ z) = (y \ x) \ ((x / y) \ z). [para(106(a,1),1125(a,1,1)),flip(a)]. 1137 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1125(a,1),304(a,1,2))]. 1138 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(36,a,445,a,b,1119,a),flip(a)]. 1139 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(139,a,1123,a)]. 1140 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(106(a,1),1132(a,2,2))]. 1141 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),1140(a,1,2,1))]. 1142 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(106(a,1),1139(a,1,1)),flip(a)]. 1143 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),1141(a,2,2)),flip(a)]. 1144 T(x,y) / (y \ x) = (x * y) / x. [hyper(121,a,1143,a,b,xx)]. 1145 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(120,a,1143,a,b,104,a),flip(a)]. 1146 ((x * y) / x) \ T(x,y) = y \ x. [hyper(120,a,1143,a,b,xx)]. 1147 (((x * y) * x) / (x * y)) * y = T(x * y,x). [para(9(a,1),1143(a,2,2)),flip(a)]. 1148 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(12(a,1),1143(a,2,1,1)),flip(a)]. 1149 ((x * (x / y)) / x) * y = T(x,x / y). [para(81(a,1),1143(a,2,2)),flip(a)]. 1152 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(360(a,1),1143(a,2,2)),flip(a)]. 1153 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(389(a,1),1143(a,2,2)),flip(a)]. 1154 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(9(a,1),1144(a,1,2)),flip(a)]. 1156 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(65,a,903,a(flip),b,1149,a)]. 1157 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(120,a,1149,a(flip),b,903,a(flip))]. 1158 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(81(a,1),1156(a,1,2,1,2))]. 1159 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(888(a,2),1156(a,1,2))]. 1160 T(x \ T(y,y / x),y) = x \ y. [para(1157(a,2),214(a,1,1))]. 1161 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1157(a,1),245(a,1,2)),flip(b)]. 1162 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1157(a,1),377(a,1,2))]. 1163 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(78(a,1),1160(a,1,1,2,2))]. 1164 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(121,a,214,a(flip),b,1148,a),flip(a)]. 1165 T(T(x * y,x) / y,x * y) = x. [para(1154(a,1),214(a,1,1))]. 1166 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1154(a,1),935(a,1,1))]. 1167 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(251(a,1),1165(a,1,1,1,1))]. 1168 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(383,a,1166,a)]. 1169 x * R(y,x,T(y,x)) = T(y * x,y). [para(1166(a,1),212(a,1,2))]. 1170 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1166(a,1),383(a,1))]. 1171 L(R(x,y,T(x,y)),y,x) = x. [para(1168(a,1),477(a,1,1))]. 1172 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(215(a,1),1158(a,1,2)),flip(a)]. 1174 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(250(a,2),1130(a,1,2))]. 1177 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(903(a,2),1161(a,1))]. 1178 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1117(a,1,2))]. 1179 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(105(a,1),1124(a,1,2,1))]. 1181 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | x = u. [para(1178(a,2),45(a,1)),flip(a)]. 1182 (x * T(x,y)) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [para(233(a,1),1116(a,1,1))]. 1183 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(271,a,1159,a)]. 1184 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1159(a,1),271(a,1))]. 1185 L(x,y,T(y,z)) != u | L(x,T(y,z),y) = u. [para(1182(a,1),463(a,1))]. 1186 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(125,a,957,a)]. 1187 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(326(a,1),957(a,1,2))]. 1188 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(688,a,958,a),flip(a)]. 1189 (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)) = a(x,y * (z / u),(u * u) * w). [para(987(a,1),14(a,2,1,2)),flip(a)]. 1190 T((x \ 1) * y,x * x) = (1 / x) * T(y,x * x). [para(710(a,1),997(a,1,1))]. 1191 (x * x) * (y * ((x * x) \ z)) = T(y,x \ (x \ 1)) * z. [para(707(a,1),1004(a,1,2))]. 1192 T((x \ y) * z,x \ (x \ 1)) = ((x \ 1) \ y) * (z / (x * x)). [hyper(65,a,810,a(flip),b,1006,a),flip(a)]. 1193 T(x * y,y \ (y \ 1)) = (y * y) * (x * (y \ 1)). [para(434(a,1),1006(a,1,2,2)),flip(a)]. 1194 T((x \ y) * x,x \ (x \ 1)) = ((x \ 1) \ y) * (x \ 1). [hyper(290,a,810,a(flip),b,1193,a),flip(a)]. 1195 ((x * y) * ((y * y) \ z)) \ ((x * (y \ 1)) * (z * u)) = L(u,(y * y) \ z,x * y). [hyper(120,a,1011,a(flip),b,94,a)]. 1197 (x * y) * (((1 / y) * (y \ z)) * u) = (x * (y \ 1)) * (z * u). [para(664(a,2),1011(a,1,2,1))]. 1199 x * ((x * x) \ L((x \ 1) \ y,z,u)) = x \ L(x * y,z,u). [hyper(65,a,710,a,b,1075,a)]. 1200 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1075(a,2,2,1))]. 1201 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(65,a,630,a(flip),b,1200,a)]. 1202 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(120,a,1200,a(flip),b,630,a(flip))]. 1203 x \ L(x,y,z) != (x \ 1) * u | T(L(x,y,z),x \ 1) = u. [para(1201(a,1),230(a,2)),flip(a)]. 1204 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(1201(a,1),877(a,1,1,2)),flip(a)]. 1205 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1201(a,1),1029(a,1,2,1,2))]. 1206 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(353(a,1),1202(a,1,1))]. 1207 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(290,a,628,a(flip),b,1078,a),flip(a)]. 1208 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(290,a,903,a(flip),b,1089,a),flip(a)]. 1209 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(214(a,1),1120(a,1,2,1)),flip(a)]. 1210 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(236(a,1),1120(a,1,2,1)),flip(a)]. 1211 (x / y) \ ((y \ x) \ z) = (y \ x) \ ((x / y) \ z). [para(106(a,1),1135(a,1,2,1))]. 1212 (x \ 1) \ ((1 / x) \ x) = (1 / x) \ (x * x). [para(435(a,1),1211(a,1,2)),flip(a)]. 1213 (x \ 1) \ ((1 / x) \ (x * y)) = (1 / x) \ ((x * x) * y). [para(808(a,1),1211(a,1,2)),flip(a)]. 1214 (x \ 1) \ ((1 / x) \ x) = x * (x * x). [hyper(290,a,402,a(flip),b,1212,a),flip(a)]. 1215 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(762,a,1186,a)]. 1216 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(120,a,393,a(flip),b,1186,a(flip))]. 1217 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1186(a,1),762(a,1))]. 1218 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(290,a,1032,a(flip),b,1215,a),flip(a)]. 1219 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(121,a,1215,a,b,417,a)]. 1222 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1144(a,1),1216(a,1,2,1,2))]. 1223 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(11(a,1),1219(a,1,1,1,2))]. 1224 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1188(a,1,1))]. 1225 T((x \ ((x \ 1) \ y)) * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)) = (((x \ 1) \ 1) \ (((x \ 1) \ 1) \ y)) * ((x \ 1) \ 1). [para(813(a,1),1194(a,1,1,1))]. 1227 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(81(a,1),1207(a,1,1,1,2))]. 1228 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1224(a,1),297(a,1,1)),flip(b)]. 1229 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(326(a,1),1224(a,1,1))]. 1230 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(1032(a,1),1224(a,1,1))]. 1232 ((x * x) * ((y * z) * u)) / (z * u) = R((x * x) * y,z,u). [para(33(a,1),114(a,1,1))]. 1233 (x * y) \ (x * ((y * z) * (u * u))) = L(z,y,x) * (u * u). [para(35(a,1),659(a,1,2))]. 1234 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(65,a,457,a(flip),b,750,a)]. 1235 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(227(a,1),1234(a,1,2)),flip(a)]. 1236 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(601,a,1235,a)]. 1237 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(582,a,1235,a)]. 1238 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [hyper(376,a,1235,a)]. 1239 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(375,a,1235,a),flip(a)]. 1240 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(308,a,1235,a),flip(a)]. 1241 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(125,a,1235,a)]. 1242 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(120,a,153,a(flip),b,1235,a)]. 1243 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(120,a,72,a(flip),b,1235,a),flip(a)]. 1244 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(229,a,1235,a(flip),b,274,a),flip(a)]. 1246 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(104(a,1),1235(a,1,2)),flip(a)]. 1248 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(65,a,638,a,b,1239,a)]. 1249 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(121,a,1239,a(flip),b,227,a)]. 1250 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1239(a,1),89(a,1,1))]. 1251 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(1239(a,1),877(a,1,1,2)),flip(a)]. 1252 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1243(a,1),249(a,1,2)),flip(a)]. 1253 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1243(a,1),1029(a,1,2,1,2))]. 1254 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(100(a,1),1236(a,1,2)),flip(a)]. 1255 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(331(a,1),1236(a,1,2)),flip(a)]. 1256 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1237(a,1),310(a,1,1))]. 1258 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(136,a,1254,a),flip(a)]. 1259 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(290,a,636,a(flip),b,1238,a),flip(a)]. 1261 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(229,a,100,a(flip),b,1246,a),flip(a)]. 1262 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(125,a,1261,a)]. 1263 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(743,a,1259,a),flip(a)]. 1264 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1259(a,1),743(a,1))]. 1265 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(740(a,1),1255(a,1,1)),flip(a)]. 1266 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(480(a,1),764(a,1,2,1)),flip(a)]. 1267 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(120,a,770,a(flip),b,247,a),flip(a)]. 1268 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(770(a,1),445(a,1,2)),flip(a)]. 1269 L(((x \ 1) \ y) \ z,x \ y,x) = y \ ((x \ 1) * z). [para(812(a,1),771(a,1,1))]. 1270 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(781(a,1),495(a,1,1)),flip(a)]. 1271 L(T((1 / x) \ y,z),x,x) = T(L(x,x,x) * y,z). [para(672(a,1),821(a,1,1)),flip(a)]. 1272 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(65,a,500,a(flip),b,833,a),flip(a)]. 1273 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(65,a,501,a(flip),b,834,a),flip(a)]. 1274 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(876(a,2),48(a,1))]. 1275 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(208(a,1),920(a,1,2,1,2))]. 1276 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(96(a,1),920(a,1,2,1,2))]. 1277 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(273(a,1),920(a,1,2,1,2))]. 1278 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(921(a,1),271(a,1,2))]. 1279 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(922(a,1),446(a,1,2)),flip(a)]. 1280 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(120,a,923,a(flip),b,249,a)]. 1281 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(120,a,924,a(flip),b,247,a),flip(a)]. 1282 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(121,a,931,a(flip),b,253,a),flip(a)]. 1283 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(948(a,1),461(a,1,2))]. 1284 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(65,a,936,a(flip),b,951,a),flip(a)]. 1285 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(229,a,1284,a,b,104,a(flip))]. 1286 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(121,a,70,a(flip),b,1284,a)]. 1288 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(290,a,1042,a(flip),b,1286,a),flip(a)]. 1289 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(214(a,1),952(a,1,1,1)),flip(a)]. 1290 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(952(a,1),632(a,1,2))]. 1291 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(70(a,1),1289(a,1,1,2)),flip(a)]. 1292 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(941,a,967,a(flip)),flip(a)]. 1293 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [hyper(183,a,1292,a)]. 1295 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(290,a,423,a(flip),b,977,a),flip(a)]. 1296 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1109(a,1),978(a,1,1,1))]. 1298 (x * x) * (((y * z) * u) / (z * u)) = R((x * x) * y,z,u). [hyper(65,a,623,a(flip),b,1232,a)]. 1299 (x * y) \ (x * (y * (z * (u * u)))) = L(z,y,x) * (u * u). [para(35(a,1),1233(a,1,2,2))]. 1300 R((x * x) * y,z,u) = (x * x) * R(y,z,u). [para(20(a,2),1298(a,1,2)),flip(a)]. 1301 L(x * (y * y),z,u) = L(x,z,u) * (y * y). [hyper(463,a,1299,a)]. 1302 L(x * (y * y),z,u) != w * (y * y) | L(x,z,u) = w. [para(1301(a,2),46(a,1))]. 1304 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(12(a,1),496(a,1,1,1))]. 1305 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(687(a,2),45(a,1))]. 1306 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(96(a,1),857(a,1,2,1))]. 1309 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(940(a,1),1201(a,1,1)),flip(a)]. 1311 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(268,a,982,a),flip(a)]. 1312 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(104(a,1),1311(a,1,2)),flip(a)]. 1313 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(601,a,1312,a)]. 1314 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(598,a,1312,a),flip(a)]. 1315 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(308,a,1312,a),flip(a)]. 1316 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(125,a,1312,a)]. 1317 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(120,a,153,a(flip),b,1312,a)]. 1318 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(120,a,72,a(flip),b,1312,a),flip(a)]. 1319 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(229,a,1312,a(flip),b,274,a),flip(a)]. 1320 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(120,a,1312,a(flip),b,89,a)]. 1323 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(125,a,1318,a)]. 1324 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1318(a,1),16(a,2,1)),flip(a)]. 1325 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1318(a,1),249(a,1,2)),flip(a)]. 1326 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1323(a,1),819(a,1,2,1)),flip(a)]. 1327 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(125,a,1314,a)]. 1328 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(120,a,22,a,b,1314,a),flip(a)]. 1330 x * (L(x,y,z) / (x * x)) = L(x,y,z) * (x \ 1). [para(721(a,1),1315(a,1,2))]. 1331 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1316(a,1),1295(a,1,1,1)),flip(a)]. 1332 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(248(a,2),1317(a,1,2))]. 1333 L(x,y,z) * (x \ 1) != x * u | L(x,y,z) / (x * x) = u. [para(1330(a,1),45(a,1))]. 1334 (x * y) * ((z * z) * (u * u)) = x * (y * ((z * z) * (u * u))). [para(34(a,1),983(a,2,2))]. 1335 (x * (y * (z / u))) * ((u * u) * w) = (x * (y * (z / (1 / u)))) * w. [para(701(a,1),985(a,1,1,2,2)),flip(a)]. 1336 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(215(a,1),1023(a,1,2,2))]. 1337 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(104(a,1),1063(a,1,1))]. 1339 (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(94(a,1),1063(a,1,1))]. 1340 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(125,a,1086,a)]. 1341 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(120,a,104,a(flip),b,1086,a),flip(a)]. 1342 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),1086(a,2,2,1,2))]. 1343 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(8(a,1),1341(a,2,2,1,2))]. 1344 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(290,a,392,a,b,1343,a)]. 1345 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(125,a,1342,a),flip(a)]. 1346 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(326(a,1),1342(a,1,2)),flip(a)]. 1347 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1215(a,2),1342(a,1,2)),flip(a)]. 1348 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(569,a,1347,a),flip(a)]. 1349 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1347(a,1,2,1)),flip(a)]. 1350 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(16(a,2),1347(a,2,2,1,2,2))]. 1351 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1347(a,2,2,1,2,2))]. 1353 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(11(a,1),1348(a,1,1,2))]. 1354 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(81(a,1),1348(a,2,2,2,1))]. 1355 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(121,a,417,a(flip),b,1087,a)]. 1356 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),1087(a,2,1,1,1))]. 1357 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(290,a,417,a(flip),b,1356,a),flip(a)]. 1358 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1357(a,1,1))]. 1359 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1215(a,2),1358(a,1,1))]. 1360 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(136,a,1359,a),flip(a)]. 1361 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1360(a,1,1,2,2))]. 1362 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1163(a,1),1360(a,2,1,2))]. 1363 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(106(a,1),1142(a,1,2)),flip(a)]. 1364 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(78(a,1),1363(a,1,2,1,1)),flip(a)]. 1365 (x * (y \ 1)) * ((y * z) * u) = (x * y) * (((1 / y) * z) * u). [para(9(a,1),1197(a,1,2,1,2)),flip(a)]. 1366 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(10(a,1),1205(a,1,2,1)),flip(a)]. 1368 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(25(a,2),1366(a,2,2))]. 1369 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(25(a,2),1368(a,1,1))]. 1370 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1209(a,1,1)),flip(a)]. 1371 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(601,a,1370,a)]. 1372 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(375,a,1370,a),flip(a)]. 1373 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(120,a,153,a(flip),b,1370,a)]. 1374 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(766,a,1371,a),flip(a)]. 1376 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [hyper(201,a,1210,a),flip(a)]. 1377 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(290,a,81,a(flip),b,1376,a),flip(a)]. 1381 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(67(a,1),1267(a,2,2,1))]. 1382 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(22(a,2),1381(a,1,2,1)),flip(a)]. 1383 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1161,a,1281,a),flip(a)]. 1384 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1177,a,1282,a),flip(a)]. 1385 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(1018,a,1282,a)]. 1386 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(7(a,1),1282(a,2,1,1,2))]. 1387 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(10(a,1),1384(a,1,1,1,2)),flip(a)]. 1388 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(1018,a,1386,a)]. 1389 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(81(a,1),1388(a,1,2,1,2))]. 1390 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(9(a,1),1290(a,1,2,1)),flip(a)]. 1391 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1290(a,2,1))]. 1392 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1390(a,1,1))]. 1393 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(596,a,1392,a)]. 1394 (1 / T(x,y)) * x = x / T(x,y). [hyper(385,a,1392,a),flip(a)]. 1395 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(296,a,1392,a),flip(a)]. 1396 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(290,a,151,a(flip),b,1392,a),flip(a)]. 1397 T(x * T(y,x * y),y) = x * y. [hyper(229,a,1392,a,b,104,a(flip))]. 1398 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(125,a,1392,a)]. 1399 (x * (y * x)) / x = y * T(x,y * x). [hyper(121,a,104,a(flip),b,1392,a)]. 1400 (1 / x) * T(x,y) = T(x,y) / x. [hyper(121,a,79,a(flip),b,1392,a),flip(a)]. 1403 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(106(a,1),1392(a,1,1,2)),flip(a)]. 1405 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(229,a,1394,a,b,10,a)]. 1408 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(229,a,1400,a,b,10,a),flip(a)]. 1409 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(136,a,1400,a)]. 1411 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(1400(a,1),751(a,1,2))]. 1413 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1393(a,2),230(a,2)),flip(a)]. 1415 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1172(a,2),1395(a,1,1))]. 1416 (x / y) * T(y,x) = (y * x) / y. [hyper(121,a,104,a(flip),b,1396,a),flip(a)]. 1418 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(316,a,1416,a),flip(a)]. 1419 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(229,a,1416,a,b,10,a),flip(a)]. 1420 ((x * y) / x) / T(x,y) = y / x. [hyper(136,a,1416,a)]. 1422 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(354(a,1),1416(a,1,1)),flip(a)]. 1423 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1416(a,1),1354(a,2,2))]. 1424 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(290,a,11,a(flip),b,1420,a),flip(a)]. 1425 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(38,a,176,a(flip),b,1420,a)]. 1426 (x / y) / T(y,y \ x) = (y \ x) / y. [para(10(a,1),1420(a,1,1,1))]. 1428 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1398(a,1),1289(a,1,1)),flip(a)]. 1431 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1405(a,1),417(a,1,1)),flip(a)]. 1432 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1424(a,1),241(a,1,1)),flip(b)]. 1433 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1424(a,1),303(a,1,1))]. 1434 T(x,x / (y \ 1)) = T(x,y * x). [hyper(65,a,1383,a(flip),b,1425,a)]. 1435 T((x / y) / T(y,y \ x),y \ 1) = (y \ 1) \ ((y \ x) / (y * y)). [para(1426(a,2),795(a,2,1)),flip(a)]. 1436 R(x,y,T(z,u)) != T(z,y) | T(z,y * T(z,u)) = x. [para(1428(a,1),53(a,1)),flip(a)]. 1437 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(749(a,1),1428(a,1,1,2))]. 1438 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(1408(a,1),1129(a,1,2))]. 1439 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1415(a,1),1119(a,1,2)),flip(a)]. 1441 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(136,a,1439,a),flip(a)]. 1442 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(65,a,1172,a(flip),b,1441,a),flip(a)]. 1443 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(873,a,1442,a)]. 1444 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1384(a,1),1443(a,1,1))]. 1446 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(106(a,1),1403(a,1,2))]. 1447 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(214(a,1),1403(a,1,2)),flip(a)]. 1448 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(236(a,1),1403(a,1,2)),flip(a)]. 1449 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(596,a,1446,a)]. 1450 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(385,a,1446,a),flip(a)]. 1451 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(121,a,151,a(flip),b,1446,a)]. 1452 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(229,a,1450,a,b,10,a),flip(a)]. 1454 (x * y) * ((z * z) * (u * u)) = x * (y * (z * (z * (u * u)))). [para(35(a,1),1334(a,2,2,2))]. 1455 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1340(a,1,2,2,1,2)),flip(a)]. 1456 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(290,a,417,a(flip),b,1355,a),flip(a)]. 1457 x \ ((x * (x \ 1)) * ((x * y) * z)) = (1 / x) \ (((1 / x) * y) * z). [hyper(120,a,1365,a,b,677,a)]. 1459 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(65,a,945,a(flip),b,1391,a)]. 1460 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(65,a,755,a(flip),b,1391,a),flip(a)]. 1461 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(229,a,1391,a(flip),b,945,a(flip)),flip(a)]. 1462 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1391(a,1,2,1,2))]. 1464 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(22(a,2),1461(a,1,2,1,2)),flip(a)]. 1465 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(120,a,1464,a,b,xx)]. 1466 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(9(a,1),1465(a,1,2,1,2,1)),flip(a)]. 1467 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(65,a,945,a(flip),b,1462,a)]. 1468 T(x,x * T(x \ 1,y)) = x. [hyper(229,a,755,a(flip),b,1462,a(flip))]. 1469 T(x \ 1,x \ T(x,y)) = x \ 1. [para(1032(a,1),1468(a,1,2))]. 1470 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(1042(a,2),1469(a,1,2))]. 1471 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1470(a,1),832(a,1,1))]. 1472 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1230(a,2),1467(a,1,2))]. 1473 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1447(a,1,1,2)),flip(a)]. 1474 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(596,a,1473,a)]. 1475 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(121,a,151,a(flip),b,1473,a)]. 1476 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1158(a,1),1473(a,1,1)),flip(a)]. 1477 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(296,a,1476,a),flip(a)]. 1478 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1126,a,1477,a)]. 1481 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(136,a,1478,a)]. 1482 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(65,a,1387,a,b,1481,a)]. 1483 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(9(a,1),1482(a,1,2,2,2)),flip(a)]. 1484 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(81(a,1),1448(a,1,1,2)),flip(a)]. 1485 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [hyper(595,a,1484,a),flip(a)]. 1486 (x * y) * (z * (z * (u * u))) = x * (y * (z * (z * (u * u)))). [para(35(a,1),1454(a,1,2))]. 1487 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1455(a,1,1))]. 1488 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(139,a,1456,a)]. 1489 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(104(a,1),1456(a,1,1)),flip(a)]. 1490 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(944(a,1),1456(a,1,1)),flip(a)]. 1491 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(945(a,1),1456(a,1,1))]. 1492 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1398(a,1),1456(a,1,1,2,1)),flip(a)]. 1493 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1459(a,1,2,2,1,2,2))]. 1494 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(12(a,1),1459(a,1,2,2,1,2,2)),flip(a)]. 1495 x * (y * (z * (z * (u * u)))) != w * (z * (z * (u * u))) | x * y = w. [para(1486(a,1),46(a,1))]. 1497 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(104(a,1),1494(a,1,1)),flip(a)]. 1499 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1494(a,1),311(a,1,2))]. 1500 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(954(a,1),1494(a,1,1)),flip(a)]. 1501 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1187(a,2),1494(a,1,1))]. 1502 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(65,a,945,a,b,1497,a)]. 1503 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(9(a,1),1497(a,1,2,2,1,2)),flip(a)]. 1504 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(68(a,1),1497(a,1,2,2,1,2)),flip(a)]. 1505 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(954(a,1),1497(a,1,2)),flip(a)]. 1506 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(78(a,1),1504(a,1,1,1,2)),flip(a)]. 1508 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(215(a,1),1503(a,1,1,1,2)),flip(a)]. 1509 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(104(a,1),1508(a,1,2))]. 1510 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(230,a,1509,a)]. 1511 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(121,a,1510,a,b,xx)]. 1512 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(120,a,1510,a,b,278,a)]. 1513 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1510(a,2),77(a,1,2,1))]. 1514 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1511(a,1),241(a,1,1)),flip(b)]. 1515 x \ T(x * (y / x),x) = T(y,x) / x. [para(82(a,1),1511(a,1,1,1)),flip(a)]. 1518 T(x * (y / x),x) = x * (T(y,x) / x). [para(82(a,1),1513(a,1,2,1,1)),flip(a)]. 1519 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(423(a,1),1515(a,1,2,1,2))]. 1520 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(874(a,2),1515(a,1,2,1,2))]. 1521 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1515(a,1),1466(a,1,1)),flip(a)]. 1522 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(9(a,1),1512(a,1,2,1,1))]. 1523 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(68(a,1),1501(a,2,2,2,1,2))]. 1525 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(104(a,1),1523(a,2,2))]. 1526 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(326(a,1),1523(a,2,2))]. 1527 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(37,a,100,a(flip),b,1525,a),flip(a)]. 1528 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(37,a,7,a(flip),b,1525,a),flip(a)]. 1529 (1 / x) * ((x \ 1) * x) = x \ 1. [para(248(a,1),1528(a,1,2))]. 1530 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1528(a,1),503(a,2,2))]. 1531 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(65,a,550,a,b,1529,a)]. 1532 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1531(a,1),549(a,1,2,1))]. 1533 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(885(a,1),1526(a,1,1,1))]. 1534 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(290,a,226,a(flip),b,1532,a),flip(a)]. 1535 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(353(a,1),1534(a,1,2)),flip(a)]. 1536 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1343(a,1),1506(a,1,2)),flip(a)]. 1537 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(90(a,1),1536(a,2,2))]. 1538 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(9(a,1),1537(a,1,1,1))]. 1539 (x * y) * ((y * x) \ y) = y * K(x,y). [para(9(a,1),1538(a,2,2,1))]. 1540 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(120,a,1539,a(flip),b,151,a(flip))]. 1542 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1539(a,1),387(a,1,1))]. 1544 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(65,a,1521,a(flip),b,1519,a),flip(a)]. 1545 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(925(a,1),445(a,1,2)),flip(a)]. 1546 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(950(a,1),461(a,1,2))]. 1547 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(353(a,1),1084(a,1,2))]. 1548 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(190,a,1547,a)]. 1549 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(11(a,1),1331(a,2,1))]. 1550 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1549(a,1),418(a,1,1)),flip(a)]. 1551 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(36,a,226,a,b,1550,a)]. 1552 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(353(a,1),1535(a,1,1)),flip(a)]. 1553 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(141,a,1552,a)]. 1554 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(9(a,1),1552(a,1,2)),flip(a)]. 1555 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(229,a,1553,a,b,10,a)]. 1557 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(9(a,1),1554(a,1,1)),flip(a)]. 1558 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [hyper(141,a,1557,a)]. 1559 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(10(a,1),815(a,2,1,1,2))]. 1560 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(290,a,417,a(flip),b,1559,a),flip(a)]. 1561 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(11(a,1),1560(a,1,1,1,2))]. 1562 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(933,a,1152,a)]. 1563 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(903(a,1),1562(a,1,1))]. 1564 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(248(a,2),1065(a,1,1))]. 1565 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(248(a,2),1066(a,1,1))]. 1566 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(919,a,1069,a),flip(a)]. 1567 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(884,a,1069,a)]. 1568 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(629(a,1),1566(a,1,1))]. 1569 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(596,a,1568,a)]. 1570 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(574,a,1568,a)]. 1571 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(385,a,1568,a),flip(a)]. 1572 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(290,a,70,a(flip),b,1568,a),flip(a)]. 1573 ((1 / L(x,y,z)) * x) * L(x,y,z) = x. [hyper(199,a,1568,a),flip(a)]. 1574 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(125,a,1568,a)]. 1575 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(121,a,151,a(flip),b,1568,a)]. 1576 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(121,a,79,a(flip),b,1568,a),flip(a)]. 1577 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(120,a,151,a(flip),b,1568,a)]. 1579 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1568(a,1),312(a,1,1))]. 1580 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(229,a,1571,a,b,10,a)]. 1582 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(136,a,1576,a)]. 1583 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1576(a,1),96(a,2,1))]. 1584 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1576(a,1),751(a,1,2))]. 1585 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1570(a,1),300(a,1,2)),flip(b)]. 1586 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1574(a,1),1289(a,1,1)),flip(a)]. 1587 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(94(a,1),1575(a,1,1)),flip(a)]. 1588 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1580(a,1),237(a,1,1))]. 1589 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1586(a,1),632(a,1,2))]. 1590 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(125,a,1587,a),flip(a)]. 1591 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(121,a,276,a(flip),b,1587,a)]. 1592 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1587(a,1),230(a,2)),flip(a)]. 1593 L(x,x,R(y,x,x)) = R(y,x,x) \ (y * x). [hyper(38,a,176,a(flip),b,1591,a),flip(a)]. 1594 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1091,a,1072,a)]. 1595 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(933,a,1153,a)]. 1596 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1372(a,1),1595(a,1,1))]. 1597 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(81(a,1),1227(a,1,2)),flip(a)]. 1598 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(7(a,1),1597(a,2,1,1))]. 1599 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(125,a,1266,a)]. 1600 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(125,a,1268,a)]. 1601 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1270(a,2,1,1,1))]. 1602 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(290,a,636,a(flip),b,1601,a),flip(a)]. 1603 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(636(a,1),1602(a,1,1))]. 1604 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(136,a,1603,a),flip(a)]. 1605 (((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),1604(a,1,1)),flip(a)]. 1606 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1162,a,1275,a)]. 1607 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1161,a,1275,a),flip(a)]. 1608 (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(94(a,1),1275(a,1,1))]. 1609 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1606(a,1),49(a,1)),flip(a)]. 1610 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1606(a,2),1563(a,1,1)),flip(a)]. 1611 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(125,a,1279,a)]. 1612 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1394(a,1),1336(a,1,2))]. 1613 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(78(a,1),1364(a,1,1,1)),flip(a)]. 1614 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1613(a,1),1179(a,1,2)),flip(a)]. 1615 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(290,a,227,a(flip),b,1382,a),flip(a)]. 1616 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1115(a,1),1615(a,1,2,1,2))]. 1617 (1 / x) \ (((1 / x) * y) * z) = x \ ((x * y) * z). [para(70(a,1),1457(a,1,2)),flip(a)]. 1619 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(755(a,1),1460(a,1,1))]. 1620 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(628(a,1),1567(a,2,1))]. 1621 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(636(a,1),1594(a,2,1))]. 1622 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1599(a,1,2,2,1,2)),flip(a)]. 1623 (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),1622(a,1,1)),flip(a)]. 1624 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(8(a,1),1600(a,1,2,2,1,2)),flip(a)]. 1625 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1611(a,1,2,2,1))]. 1626 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(433,a,1625,a)]. 1627 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1625(a,1),433(a,1))]. 1628 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(78(a,1),1626(a,1,2,1)),flip(a)]. 1629 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(1409(a,1),1626(a,1,2)),flip(a)]. 1630 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1582(a,1),1626(a,1,2)),flip(a)]. 1631 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(1628(a,1),1607(a,1,2)),flip(a)]. 1632 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(65,a,1066,a(flip),b,1620,a)]. 1633 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(65,a,939,a(flip),b,1620,a),flip(a)]. 1634 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(229,a,1620,a(flip),b,1066,a(flip)),flip(a)]. 1635 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(7(a,1),1620(a,1,2,1,2))]. 1636 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1620(a,2),230(a,2)),flip(a)]. 1637 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1634(a,1,2,1,2)),flip(a)]. 1638 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(120,a,1637,a,b,xx)]. 1639 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(9(a,1),1638(a,1,2,1,2,1)),flip(a)]. 1640 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1515(a,1),1639(a,1,1)),flip(a)]. 1641 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(65,a,1520,a(flip),b,1640,a),flip(a)]. 1642 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(65,a,1066,a(flip),b,1635,a)]. 1643 T(x,x * L(x \ 1,y,z)) = x. [hyper(229,a,939,a(flip),b,1635,a(flip))]. 1645 K(x,x * L(x \ 1,y,z)) = 1. [hyper(57,a,1643,a)]. 1646 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(353(a,1),1643(a,1,2,2))]. 1647 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(630(a,1),1643(a,1,2))]. 1648 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1200(a,1),1643(a,1,2))]. 1649 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1598(a,1),1643(a,1,2))]. 1650 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1649(a,1),423(a,1,1,2)),flip(a)]. 1651 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1647(a,1),832(a,1,1))]. 1652 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(9(a,1),1642(a,1,2,2,1,2))]. 1653 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(65,a,1065,a(flip),b,1621,a)]. 1654 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(229,a,1621,a(flip),b,1268,a),flip(a)]. 1655 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(229,a,1621,a(flip),b,1065,a(flip)),flip(a)]. 1656 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(120,a,1621,a(flip),b,1268,a),flip(a)]. 1657 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1621(a,1,2,1,2))]. 1658 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1621(a,1,2,1)),flip(a)]. 1661 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(746(a,1),1621(a,1,2,1)),flip(a)]. 1662 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1658(a,1,1,2,1))]. 1663 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(385,a,1662,a),flip(a)]. 1664 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(296,a,1662,a),flip(a)]. 1665 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(125,a,1662,a)]. 1666 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(121,a,151,a(flip),b,1662,a)]. 1667 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(121,a,79,a(flip),b,1662,a),flip(a)]. 1668 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1664(a,1),297(a,1,1)),flip(b)]. 1669 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1665(a,1),1289(a,1,1)),flip(a)]. 1670 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1669(a,1),227(a,1,2)),flip(a)]. 1671 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1669(a,1),632(a,1,2))]. 1672 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(120,a,151,a(flip),b,1671,a)]. 1674 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1655(a,1,2,1,2)),flip(a)]. 1675 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(121,a,1674,a,b,636,a)]. 1676 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(120,a,1674,a,b,xx)]. 1677 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(9(a,1),1675(a,1,1,1,2,1)),flip(a)]. 1679 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(65,a,1065,a(flip),b,1657,a)]. 1680 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(65,a,1064,a(flip),b,1657,a)]. 1681 T(x,x * R(x \ 1,y,z)) = x. [hyper(229,a,1063,a(flip),b,1657,a(flip))]. 1683 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(638(a,1),1681(a,1,2))]. 1684 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1248(a,1),1681(a,1,2))]. 1685 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1684(a,1),23(a,1,1)),flip(a)]. 1686 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1683(a,1),832(a,1,1))]. 1687 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(290,a,106,a(flip),b,1672,a),flip(a)]. 1688 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(141,a,1687,a)]. 1689 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(121,a,7,a(flip),b,1688,a)]. 1690 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(362(a,1),1689(a,1,1)),flip(a)]. 1691 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(362(a,1),1690(a,1,2)),flip(a)]. 1692 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(139,a,1691,a)]. 1693 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(78(a,1),1691(a,1,2,1)),flip(a)]. 1695 ((x / y) * (y / x)) * ((x / y) \ 1) != z * u | z \ (y / x) = u. [para(1691(a,1),303(a,1,1))]. 1696 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(316,a,1693,a),flip(a)]. 1698 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [hyper(139,a,1696,a)]. 1699 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(290,a,361,a,b,1698,a),flip(a)]. 1700 ((x * x) * (y * z)) \ ((x * x) * (y * (z * u))) = L(u,z,(x * x) * y). [para(33(a,1),113(a,1,2))]. 1701 (x * ((y * y) * z)) \ (x * ((y * y) * (z * u))) = L(u,z,x * (y * y)). [para(34(a,1),117(a,1,2))]. 1702 ((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(927(a,1),514(a,1,1))]. 1703 ((x * y) * ((z * z) \ u)) / (y * ((z * z) \ u)) = R(x,y / (z * z),u). [para(800(a,1),709(a,1,1))]. 1704 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(523(a,1),955(a,1,1,1)),flip(a)]. 1705 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(65,a,1347,a(flip),b,1704,a),flip(a)]. 1706 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(7(a,1),1704(a,2,1,1))]. 1707 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(9(a,1),1704(a,1,2,1)),flip(a)]. 1708 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1704(a,1),1497(a,1,2)),flip(a)]. 1709 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(1217,a,1706,a)]. 1710 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(1706(a,1),1217(a,1))]. 1711 T(1 / x,T(x,y) / x) = 1 / x. [para(1706(a,1),1468(a,1,2))]. 1712 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1711(a,1),423(a,1,1,2)),flip(a)]. 1713 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(139,a,1709,a(flip)),flip(a)]. 1714 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1452(a,1),1709(a,1,1))]. 1715 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(65,a,1405,a(flip),b,1713,a),flip(a)]. 1716 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(12(a,1),1705(a,1,1,1)),flip(a)]. 1717 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(121,a,1513,a(flip),b,1708,a),flip(a)]. 1718 ((x * (y * y)) \ (z * x)) * (y * y) = T(z,x * (y * y)). [hyper(290,a,492,a(flip),b,965,a),flip(a)]. 1720 ((x * x) \ (y \ (z * y))) * (x * x) = T(z,y * (x * x)). [para(403(a,1),1718(a,1,1))]. 1721 ((x * x) \ T(y,z)) * (x * x) = T(y,z * (x * x)). [para(22(a,2),1720(a,1,1,2))]. 1722 T(T(x,y),z * z) = T(x,y * (z * z)). [hyper(660,a,1721,a)]. 1723 T(T(x,y * y),z) = T(x,z * (y * y)). [hyper(824,a,1722,a)]. 1724 T(x,y * (x * x)) = L(T(x,y),x,x). [hyper(65,a,980,a(flip),b,1722,a),flip(a)]. 1725 R(x / (y * y),z,u) * (y * y) = R(x,(y * y) \ z,u). [para(708(a,1),998(a,1,1))]. 1726 (x * x) * R((x * x) \ y,z,u) = R(y,(x * x) \ z,u). [hyper(1091,a,1725,a)]. 1727 R((x * x) * ((x * x) \ y),z,u) = R(y,(x * x) \ z,u). [hyper(65,a,1300,a,b,1726,a)]. 1728 R(x,(y * y) \ z,u) = R(x,z,u). [para(10(a,1),1727(a,1,1)),flip(a)]. 1729 R((x * x) \ y,z,u) = (x * x) \ R(y,z,u). [hyper(120,a,1728,a(flip),b,1726,a),flip(a)]. 1730 R(x,(y * y) * z,u) = R(x,z,u). [para(9(a,1),1728(a,1,2)),flip(a)]. 1731 R(x,1 / y,z) = R(x,y,z). [para(441(a,1),1728(a,1,2))]. 1732 (x * (1 / y)) * y = R(x,y,y). [hyper(851,a,1731,a)]. 1733 R(x,y \ 1,z) = R(x,y,z). [para(78(a,1),1731(a,1,2)),flip(a)]. 1734 R(x,1 / y,z) = R(x,y \ 1,z). [hyper(290,a,1731,a,b,1733,a)]. 1735 R(x,(y \ 1) \ 1,z) = R(x,y,z). [hyper(290,a,1733,a(flip),b,1733,a),flip(a)]. 1736 R(x,(y * y) * (z \ 1),u) = R(x,z / (y * y),u). [para(804(a,1),1733(a,1,2))]. 1737 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(290,a,1733,a,b,1732,a),flip(a)]. 1738 R(x,y \ 1,y) / y = x * (1 / y). [hyper(121,a,1733,a,b,1732,a)]. 1739 R(x / (1 / y),y \ 1,y) = x * y. [hyper(568,a,1734,a),flip(a)]. 1740 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(65,a,361,a(flip),b,1734,a),flip(a)]. 1741 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(65,a,205,a(flip),b,1735,a),flip(a)]. 1742 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(1735(a,1),100(a,1,1))]. 1743 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(1735(a,1),389(a,1,1))]. 1744 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(1737(a,1),211(a,1,2))]. 1745 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(1738(a,1),1527(a,1,1))]. 1746 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [para(1739(a,1),27(a,2,1))]. 1747 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(1739(a,1),1687(a,1,1,2))]. 1748 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(1741(a,2),106(a,1,1))]. 1749 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(105(a,2),1741(a,2,2,1)),flip(a)]. 1750 x / (((y \ 1) \ 1) * x) != z | R(y \ 1,y,x) = z. [para(1743(a,1),300(a,1,2)),flip(b)]. 1751 x * R((x * x) \ y,z,u) = (x \ 1) * R(y,z,u). [para(1729(a,2),710(a,1,2))]. 1752 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(596,a,1745,a)]. 1753 R(x,y / (z * z),u) = R(x,y \ 1,u). [hyper(65,a,1730,a(flip),b,1736,a),flip(a)]. 1755 R(x,y / (z * z),u) = R(x,y,u). [hyper(290,a,1733,a(flip),b,1753,a),flip(a)]. 1756 (x \ 1) * R(x,y,z) = x * R(1 / x,y,z). [para(441(a,1),1751(a,1,2,1)),flip(a)]. 1757 (x \ 1) * R((y \ 1) \ z,u,w) = x * R((y \ (x * x)) \ z,u,w). [para(682(a,1),1751(a,1,2,1)),flip(a)]. 1758 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(1740(a,2),92(a,1,2,2))]. 1759 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(1742(a,1),46(a,1))]. 1760 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(65,a,27,a,b,1748,a)]. 1761 (x \ 1) * R((x \ 1) \ y,z,u) = x * R(x \ y,z,u). [para(9(a,1),1757(a,2,2,1,1))]. 1762 x * R(x \ 1,y,z) = x \ R(x,y,z). [hyper(65,a,1248,a(flip),b,1761,a),flip(a)]. 1763 (x * R(x \ y,z,u)) / y = (x / y) \ R(x / y,z,u). [hyper(65,a,1604,a(flip),b,1762,a)]. 1764 (x * y) * R((x * y) \ y,z,u) = (x \ R(x,z,u)) * y. [para(1762(a,1),1657(a,2,1))]. 1765 T(x,x \ R(x,y,z)) = x. [para(1762(a,1),1681(a,1,2))]. 1766 (x \ R(x,y,z)) * x = R(x,y,z). [para(1765(a,1),213(a,1,2))]. 1767 R(x,y,z) / x = x \ R(x,y,z). [para(1765(a,1),254(a,1,2))]. 1768 R(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(290,a,741,a(flip),b,1767,a),flip(a)]. 1769 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(65,a,1667,a,b,1767,a)]. 1770 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(1767(a,1),532(a,1,1))]. 1771 a(x \ 1,x,x \ 1) = (x \ 1) * x. [hyper(552,a,1768,a),flip(a)]. 1772 a(x \ 1,x,x \ 1) = K(x \ 1,x). [hyper(290,a,248,a,b,1771,a),flip(a)]. 1773 T(1 / (1 / x),R(1 / x,y,z)) = x. [hyper(229,a,1769,a,b,1238,a(flip))]. 1775 T(1 / (1 / x),y / (x * y)) = x. [para(210(a,1),1773(a,1,2))]. 1776 T(1 / (1 / x),x \ 1) = x. [para(358(a,1),1773(a,1,2))]. 1777 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1776(a,1),23(a,1,1)),flip(a)]. 1778 T(x,y \ 1) != y | 1 / (1 / y) = x. [para(1776(a,1),51(a,1)),flip(a)]. 1779 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1776(a,1),145(a,1,1)),flip(a)]. 1780 T(x,x \ 1) / x = K(x,x \ 1). [para(1776(a,1),1714(a,1,1)),flip(a)]. 1781 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(105(a,1),1780(a,1,1))]. 1782 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(139,a,1781,a)]. 1784 T(x,1 / x) = T(x,x \ 1). [para(236(a,1),1777(a,1,1)),flip(a)]. 1785 T(x,y / (x * y)) = T(x,x \ 1). [para(1775(a,1),1777(a,1,1)),flip(a)]. 1786 T(x,1 / x) = (x \ 1) \ 1. [hyper(290,a,105,a(flip),b,1784,a),flip(a)]. 1787 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [para(78(a,1),1784(a,1,2)),flip(a)]. 1788 T(x,x \ 1) / x = K(x,1 / x). [para(1784(a,1),846(a,1,1))]. 1789 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(78(a,1),1786(a,1,2))]. 1790 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1786(a,1),846(a,1,1))]. 1791 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(290,a,105,a(flip),b,1785,a),flip(a)]. 1792 K(x,1 / x) = K(x,x \ 1). [hyper(65,a,1780,a(flip),b,1788,a),flip(a)]. 1793 K(x,x \ 1) = x * (1 / x). [hyper(395,a,1792,a),flip(a)]. 1794 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(65,a,658,a,b,1792,a)]. 1795 x \ K(x,x \ 1) = 1 / x. [hyper(120,a,1792,a(flip),b,250,a(flip))]. 1796 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(78(a,1),1792(a,1,2)),flip(a)]. 1797 K(x,x \ 1) != y | x * (1 / x) = y. [para(1792(a,1),395(a,1))]. 1799 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1792(a,1),1174(a,1,2))]. 1802 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1793(a,2),100(a,1,2))]. 1804 (1 / x) * K(x,x \ 1) = L(1 / x,x,x). [para(1793(a,2),665(a,1,2))]. 1806 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1793(a,2),1317(a,1,2))]. 1807 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1793(a,2),1377(a,1,2))]. 1808 x \ y != 1 / x | K(x,x \ 1) = y. [para(1795(a,1),49(a,1)),flip(a)]. 1809 x * (1 / x) != y | K(x,x \ 1) = y. [para(1795(a,1),245(a,1,2)),flip(b)]. 1811 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1795(a,1),481(a,1,1)),flip(a)]. 1812 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(290,a,284,a,b,1789,a)]. 1813 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(81(a,1),1789(a,2,1,1))]. 1814 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(81(a,1),1790(a,1,1,1)),flip(a)]. 1815 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(12(a,1),1791(a,1,2,2))]. 1816 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1807(a,1),100(a,1,2))]. 1817 K(x,1 / x) != y | K(x,x \ 1) = y. [para(250(a,2),1809(a,1))]. 1819 T(x \ 1,x) != y | ((x \ 1) \ 1) \ 1 = y. [para(1787(a,1),390(a,1))]. 1820 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1815(a,1),104(a,1,2))]. 1821 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1815(a,1),418(a,1,1))]. 1823 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(36,a,687,a(flip),b,1821,a(flip))]. 1824 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(932(a,1),1020(a,1,1))]. 1825 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(251(a,1),1167(a,1,2))]. 1826 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(27(a,2),1825(a,1,1,1))]. 1827 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(406(a,1),1826(a,1,1))]. 1828 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1827(a,1),23(a,1,1)),flip(a)]. 1829 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1285(a,1),1828(a,1,1))]. 1830 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1829(a,1,1)),flip(a)]. 1831 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(524(a,1),1830(a,2,2))]. 1832 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1831(a,1,1))]. 1833 T(x,x * (y \ 1)) = T(x,y \ x). [para(106(a,1),1832(a,1,2)),flip(a)]. 1834 T(x,(1 / y) \ x) = T(x,x * y). [para(81(a,1),1833(a,1,2,2)),flip(a)]. 1835 L(L(x,y,z),z * y,u * u) = L(x,y,(u * u) * z). [hyper(868,a,1700,a)]. 1836 L(x,y,(z * z) * u) = L(x,y,u). [hyper(474,a,1835,a),flip(a)]. 1838 L(x,y,(z * z) \ u) = L(x,y,u). [para(10(a,1),1836(a,1,3)),flip(a)]. 1839 L(x,y,T(z,u * u)) = L(x,y,z * (u * u)). [para(104(a,1),1836(a,1,3)),flip(a)]. 1840 L(x,y,z * (z * u)) = L(x,y,L(u,z,z)). [para(94(a,1),1836(a,1,3))]. 1841 L(x,y,(z \ 1) \ u) = L(x,y,z \ u). [para(805(a,1),1836(a,1,3))]. 1842 L(x,y,(z \ 1) * (z \ u)) = L(x,y,u). [para(679(a,1),1836(a,1,3))]. 1843 L(x,y,T(z,u * u) * w) = L(x,y,z * ((u * u) * w)). [para(989(a,1),1836(a,1,3)),flip(a)]. 1844 L(x,y,1 / z) = L(x,y,z). [para(441(a,1),1838(a,1,3))]. 1845 L(x,y,z * ((z \ 1) \ u)) = L(x,y,u). [para(675(a,1),1838(a,1,3))]. 1846 L(x,y,z \ 1) = L(x,y,z). [para(78(a,1),1844(a,1,3)),flip(a)]. 1847 L(T((1 / x) \ y,x),x,x) = y * L(x,(1 / x) \ y,x). [para(1844(a,1),763(a,2,2))]. 1848 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(290,a,665,a,b,1846,a)]. 1849 L(x,y,(z \ 1) \ 1) = L(x,y,z). [hyper(290,a,1846,a(flip),b,1846,a),flip(a)]. 1850 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(290,a,666,a(flip),b,1846,a),flip(a)]. 1851 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(290,a,663,a(flip),b,1846,a),flip(a)]. 1852 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(120,a,1846,a,b,665,a)]. 1853 L(x \ ((y \ 1) \ z),x,y) = ((y \ 1) * x) \ z. [hyper(65,a,273,a(flip),b,1846,a),flip(a)]. 1854 (x * ((1 / x) * y)) * L(z,x * y,x) = (x \ 1) * ((x * y) * z). [para(1846(a,1),727(a,1,2))]. 1855 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(247(a,1),1848(a,1,2)),flip(a)]. 1856 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(1848(a,1),280(a,1,1))]. 1857 L(x,y,(1 / z) \ u) = L(x,y,z \ u). [para(81(a,1),1841(a,1,3,1)),flip(a)]. 1858 L(x,y,(z \ 1) * u) = L(x,y,z * u). [para(9(a,1),1842(a,1,3,2))]. 1859 L(x,y,T(z,u * u) * (((u * u) \ (z \ ((u * u) * 1))) \ w)) = L(x,y,w). [para(1053(a,2),1845(a,1,3,2,1))]. 1860 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [hyper(290,a,1858,a(flip),b,1858,a),flip(a)]. 1861 L(x,y,(1 / z) * u) = L(x,y,z * u). [para(81(a,1),1858(a,1,3,1)),flip(a)]. 1862 L(x,y,z * (1 / z)) = x. [hyper(474,a,1861,a),flip(a)]. 1863 L(x,y,K(z,1 / z)) = x. [para(250(a,2),1862(a,1,3))]. 1864 L(x,y,K(z,z \ 1)) = x. [para(1793(a,2),1862(a,1,3))]. 1865 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(1274,a,1863,a),flip(a)]. 1866 L(x,y,K(z \ 1,z)) = x. [para(78(a,1),1863(a,1,3,2))]. 1867 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(1863(a,1),386(a,1,2)),flip(a)]. 1868 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1274,a,1864,a),flip(a)]. 1869 L(x,y,K(z,z \ 1)) != u | u = x. [para(1864(a,1),52(a,1)),flip(a)]. 1870 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(1864(a,1),386(a,1,2)),flip(a)]. 1871 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(1864(a,1),544(a,1,2))]. 1872 (K(x,x \ 1) * (y * z)) \ ((K(x,x \ 1) * y) * (z * u)) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(1864(a,1),452(a,1,2,2,1))]. 1873 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1274,a,1866,a),flip(a)]. 1874 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(65,a,96,a(flip),b,1866,a)]. 1875 L(x,y,K(z \ 1,z)) != u | u = x. [para(1866(a,1),52(a,1)),flip(a)]. 1876 L(x,y,K(z \ 1,z)) != u | x = u. [para(1866(a,1),52(a,2))]. 1877 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(1866(a,1),386(a,1,2)),flip(a)]. 1878 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(1866(a,1),544(a,1,2))]. 1880 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(1850(a,1),226(a,1,2))]. 1881 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(290,a,327,a(flip),b,1877,a),flip(a)]. 1882 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(121,a,327,a(flip),b,1877,a)]. 1884 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(65,a,1814,a,b,1882,a)]. 1885 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1817,a,1884,a)]. 1886 K(1 / x,x) = K(x \ 1,x). [para(81(a,1),1885(a,1,2))]. 1887 (x * y) \ (x * ((x \ 1) \ z)) = ((x \ 1) * y) \ z. [hyper(65,a,96,a(flip),b,1853,a)]. 1888 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(1759,a,1868,a)]. 1889 x * T(K(y,y \ 1) * z,x) = K(y,y \ 1) * (z * x). [hyper(269,a,1868,a)]. 1891 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [para(1782(a,1),1868(a,1,1)),flip(a)]. 1892 K(x,x \ 1) * (y * z) != u | (K(x,x \ 1) * y) * z = u. [para(1888(a,1),267(a,1,1))]. 1893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(308,a,1891,a),flip(a)]. 1895 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(120,a,10,a(flip),b,1891,a),flip(a)]. 1896 ((x \ 1) \ 1) * (x \ y) != z | K(x,x \ 1) * y = z. [para(1891(a,1),308(a,1))]. 1897 K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. [para(1891(a,2),619(a,1))]. 1898 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(619,a,1893,a)]. 1899 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [para(1898(a,1),1111(a,1,2))]. 1900 x * K(x,x \ 1) = T(x,x \ 1). [hyper(1495,a,1899,a)]. 1902 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [hyper(290,a,1898,a(flip),b,1899,a),flip(a)]. 1903 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(290,a,286,a(flip),b,1899,a),flip(a)]. 1906 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(120,a,105,a(flip),b,1900,a)]. 1910 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(290,a,1792,a,b,1906,a),flip(a)]. 1911 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(120,a,1906,a,b,1793,a(flip))]. 1913 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(120,a,1910,a(flip),b,1110,a),flip(a)]. 1914 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(120,a,10,a(flip),b,1903,a),flip(a)]. 1915 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1782(a,1),1871(a,1,1)),flip(a)]. 1916 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(1873(a,1),20(a,2,1,1)),flip(a)]. 1917 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(849(a,1),1873(a,1,1)),flip(a)]. 1918 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(1881(a,1),1873(a,1,1)),flip(a)]. 1919 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(308,a,1917,a),flip(a)]. 1921 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(105(a,2),1917(a,1,2,1))]. 1923 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(601,a,1918,a)]. 1924 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(308,a,1918,a),flip(a)]. 1925 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(1918(a,1),20(a,2,2)),flip(a)]. 1927 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(1918(a,1),545(a,1,1))]. 1929 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(65,a,1895,a(flip),b,1919,a)]. 1930 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(309,a,1929,a)]. 1931 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(306,a,1929,a),flip(a)]. 1932 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(290,a,1918,a(flip),b,1929,a),flip(a)]. 1933 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(141,a,1929,a)]. 1934 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(1929(a,1),141(a,1))]. 1935 K(x,x \ 1) * (K(x \ 1,x) * y) != z | y = z. [para(1929(a,1),246(a,1,2))]. 1936 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(36,a,1918,a,b,1930,a),flip(a)]. 1937 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [hyper(36,a,1873,a(flip),b,1930,a),flip(a)]. 1938 K(x,x \ 1) \ y != z | K(x \ 1,x) * y = z. [para(1930(a,1),308(a,1))]. 1939 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(1914(a,1),1930(a,1,2))]. 1940 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(1931(a,1),141(a,1))]. 1941 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(120,a,1933,a(flip),b,1898,a),flip(a)]. 1942 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(1933(a,1),1899(a,1,2)),flip(a)]. 1943 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(1933(a,1),1903(a,1,2)),flip(a)]. 1945 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(40,a,1211,a(flip),b,1923,a),flip(a)]. 1947 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [para(1930(a,1),1923(a,1,2)),flip(a)]. 1948 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1280(a,1),1924(a,1,2)),flip(a)]. 1949 K(x,x \ 1) * ((x \ 1) * y) != z | (1 / x) * y = z. [para(1932(a,1),245(a,1,2)),flip(b)]. 1950 K(x,x \ 1) * y != (1 / x) * z | (x \ 1) * z = y. [para(1936(a,1),45(a,1)),flip(a)]. 1951 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(1936(a,1),181(a,1,1,2))]. 1952 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(1936(a,1),463(a,1,2,2))]. 1953 K(x,1 / x) * ((x \ 1) * y) = (1 / x) * y. [para(1792(a,2),1936(a,1,1))]. 1954 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(1936(a,1),1868(a,1,1)),flip(a)]. 1955 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(1936(a,1),1903(a,1,2)),flip(a)]. 1957 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(65,a,1229,a(flip),b,1939,a)]. 1958 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(120,a,1939,a(flip),b,1229,a(flip)),flip(a)]. 1959 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(9(a,1),1939(a,1,2)),flip(a)]. 1961 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1939(a,1),202(a,1))]. 1963 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(1495,a,1942,a)]. 1964 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(1942(a,1),1921(a,1,2))]. 1965 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(65,a,286,a(flip),b,1963,a)]. 1966 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(36,a,1930,a,b,1945,a)]. 1967 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(120,a,1945,a(flip),b,1919,a),flip(a)]. 1968 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(9(a,1),1945(a,1,2)),flip(a)]. 1970 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(81(a,1),1958(a,2,2,1,1))]. 1971 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [para(1947(a,1),1966(a,1,2)),flip(a)]. 1972 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(141,a,1968,a)]. 1973 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(1930(a,1),1972(a,1,2)),flip(a)]. 1974 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(1495,a,1973,a)]. 1976 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) != u | y * z = u. [para(1873(a,2),1935(a,1,2))]. 1977 K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. [para(1917(a,1),1935(a,1,2))]. 1978 K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. [para(1945(a,1),1935(a,1,2))]. 1979 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(1918(a,1),1874(a,1,1))]. 1980 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(1930(a,1),1874(a,1,1)),flip(a)]. 1981 (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). [para(1930(a,1),1874(a,1,2))]. 1982 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(1878(a,1),106(a,1,1))]. 1983 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [para(1881(a,1),1878(a,1,1)),flip(a)]. 1984 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [hyper(1934,a,1983,a)]. 1985 (x * y) \ (x * ((1 / (x \ 1)) \ (((1 / (x \ 1)) * z) * u))) = ((x \ 1) * y) \ (((x \ 1) * z) * u). [para(1617(a,2),1887(a,1,2,2))]. 1987 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1793(a,1),1902(a,2,1))]. 1988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(375,a,1937,a),flip(a)]. 1990 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1964(a,1),221(a,1,2))]. 1991 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(8(a,1),1980(a,2,2))]. 1992 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(1939(a,1),1981(a,1,1)),flip(a)]. 1993 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(36,a,94,a(flip),b,1987,a),flip(a)]. 1994 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1950,a,1993,a),flip(a)]. 1995 T(L(x,1 / x,x),x \ 1) = x. [hyper(1203,a,1994,a)]. 1996 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1074,a,1994,a)]. 1997 L((x \ 1) \ y,1 / x,x) = x * y. [hyper(306,a,1994,a),flip(a)]. 1998 L(x,1 / x,x) = 1 / (1 / x). [hyper(1778,a,1995,a),flip(a)]. 1999 x / (1 / (1 / x)) = x * (1 / x). [para(1998(a,1),386(a,1,2))]. 2000 L((x \ 1) \ y,1 / x,x) != z | x * y = z. [para(1996(a,2),585(a,1))]. 2001 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(290,a,1793,a,b,1999,a),flip(a)]. 2002 K(x,x \ 1) * (1 / (1 / x)) = x. [hyper(139,a,2001,a)]. 2003 K(x \ 1,x) * x = 1 / (1 / x). [hyper(1940,a,2002,a)]. 2004 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2002(a,1),1868(a,1,1)),flip(a)]. 2005 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2003(a,1),1873(a,1,1)),flip(a)]. 2006 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(2003(a,1),1878(a,1,1)),flip(a)]. 2007 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [para(78(a,1),1997(a,1,2))]. 2009 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(278(a,1),2004(a,1,2))]. 2010 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(308,a,2005,a),flip(a)]. 2011 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(65,a,1964,a(flip),b,2005,a)]. 2013 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(254(a,1),2006(a,1,2)),flip(a)]. 2014 x * K(x \ 1,x) = 1 / (1 / x). [hyper(1495,a,2011,a)]. 2015 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(120,a,10,a(flip),b,2011,a),flip(a)]. 2016 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | x = z. [para(2011(a,1),298(a,1,1))]. 2017 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = R(x,K(x \ 1,x),y). [para(2014(a,1),20(a,2,1,1)),flip(a)]. 2019 (x * K(x \ 1,x)) * ((1 / x) \ y) = ((1 / x) * (1 / x)) \ y. [para(2014(a,2),664(a,1,1))]. 2020 x * K(1 / x,x) = 1 / (1 / x). [para(1886(a,2),2014(a,1,2))]. 2021 T(L(x,x,x) * y,x) = y * L(x,(1 / x) \ y,x). [hyper(65,a,1271,a(flip),b,1847,a)]. 2022 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(290,a,1128,a(flip),b,1913,a),flip(a)]. 2024 T((1 / x) * y,K(x,x \ 1)) = ((x \ 1) * y) * K(x,x \ 1). [hyper(230,a,1954,a)]. 2025 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(65,a,1614,a,b,2022,a)]. 2026 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(1896,a,2025,a)]. 2027 R(x,K(x \ 1,x),y) = x. [hyper(2016,a,2017,a),flip(a)]. 2029 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2027(a,1),499(a,1,1,1)),flip(a)]. 2030 R(x,y / (z * z),u) = R(x,y,(z * z) \ u). [hyper(509,a,1703,a),flip(a)]. 2032 R(x,y,(z * z) \ u) = R(x,y,u). [hyper(65,a,1755,a(flip),b,2030,a),flip(a)]. 2034 R(x,y,(z * z) * u) = R(x,y,u). [para(9(a,1),2032(a,1,3)),flip(a)]. 2035 R(x,y,(z \ 1) \ u) = R(x,y,z \ u). [para(805(a,1),2034(a,1,3))]. 2036 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(1739(a,1),1747(a,1,2,2))]. 2037 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(1873(a,1),1916(a,1,1))]. 2038 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(1866(a,1),1927(a,1,2))]. 2040 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(65,a,1878,a(flip),b,2037,a)]. 2041 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),2040(a,1,2)),flip(a)]. 2042 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(1934,a,2041,a(flip))]. 2044 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1881(a,1),2042(a,1,2,1))]. 2045 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(1930(a,1),2042(a,1,2,1)),flip(a)]. 2046 (x * x) \ ((y * z) \ (y * ((z * x) * x))) = L(a(z,x,x),z * (x * x),y). [hyper(65,a,681,a(flip),b,482,a)]. 2047 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1419(a,1),1222(a,1,2,1))]. 2048 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(141,a,2047,a)]. 2049 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(65,a,1345,a(flip),b,2048,a),flip(a)]. 2050 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(10(a,1),1265(a,1,2,1)),flip(a)]. 2052 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(229,a,1391,a(flip),b,1283,a(flip)),flip(a)]. 2053 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1138(a,1),1283(a,2,2))]. 2054 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(16(a,2),2053(a,1,2,1)),flip(a)]. 2055 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(16(a,2),1350(a,1,2,1)),flip(a)]. 2056 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1215(a,1),2055(a,1,2))]. 2057 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(125,a,2056,a)]. 2058 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1646(a,1),1353(a,2,2,2))]. 2059 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(10(a,1),1362(a,2,1))]. 2060 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(104(a,1),1500(a,1,2)),flip(a)]. 2061 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1514,a,2060,a)]. 2062 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(82(a,1),2061(a,1,1))]. 2063 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(120,a,2062,a,b,xx),flip(a)]. 2064 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [hyper(257,a,2062,a(flip))]. 2065 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(9(a,1),2062(a,2,2,1,2)),flip(a)]. 2066 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(9(a,1),2065(a,1,2,1)),flip(a)]. 2067 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(90(a,1),2065(a,1,2,1)),flip(a)]. 2068 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2065(a,1),428(a,1,2))]. 2069 T(x * ((1 / x) * y),x) = (x \ 1) * (y * x). [para(724(a,1),2066(a,1,1))]. 2070 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [hyper(290,a,725,a,b,2069,a),flip(a)]. 2071 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(290,a,1459,a(flip),b,2070,a),flip(a)]. 2072 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(106(a,2),2064(a,2,1,2)),flip(a)]. 2074 T(x,y \ 1) != (y \ T(z / (y \ 1),y \ 1)) * y | T(z,y) / (y \ 1) = x. [para(2072(a,2),51(a,1)),flip(a)]. 2075 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(125,a,1545,a)]. 2076 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1545(a,2,2,1,2,2))]. 2077 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(125,a,2076,a),flip(a)]. 2078 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1626(a,2),2076(a,1,2))]. 2079 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),2078(a,1,2,2,1,2)),flip(a)]. 2080 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(10(a,1),1616(a,1,2,1)),flip(a)]. 2081 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(939(a,1),1633(a,1,1))]. 2082 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(121,a,151,a(flip),b,2081,a)]. 2083 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1635(a,1),1652(a,1,2)),flip(a)]. 2084 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1200(a,1),2083(a,1,1)),flip(a)]. 2085 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1654(a,1,1))]. 2086 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),2085(a,1,2,1,1))]. 2087 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),2086(a,2,1,2,1))]. 2088 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1657(a,1),1680(a,1,2)),flip(a)]. 2089 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1248(a,1),2088(a,1,1)),flip(a)]. 2090 L(x,y,T(z,u * u) * (((u * u) \ (z \ (u * u))) \ w)) = L(x,y,w). [para(8(a,1),1859(a,1,3,2,1,2,2))]. 2091 L(x,y,T(z,u * u) * (T(z \ 1,u * u) \ w)) = L(x,y,w). [para(436(a,1),2090(a,1,3,2,1))]. 2092 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(290,a,243,a(flip),b,2058,a),flip(a)]. 2094 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2092(a,1),1223(a,1,1)),flip(a)]. 2095 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(65,a,1555,a(flip),b,2094,a)]. 2096 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(387,a,2095,a)]. 2097 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),2095(a,1,1,2))]. 2098 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),2096(a,1,3))]. 2099 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),2097(a,2,2))]. 2100 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(387,a,2099,a)]. 2101 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(190,a,2099,a)]. 2102 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(141,a,2099,a)]. 2103 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(12(a,1),2100(a,1,3,1))]. 2104 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(2103(a,1),354(a,1,2))]. 2105 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2101(a,1),1713(a,2,1,1,2)),flip(a)]. 2106 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(208(a,2),2102(a,1,1,1)),flip(a)]. 2107 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1405(a,2),2104(a,1,1))]. 2108 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(121,a,208,a,b,2106,a(flip))]. 2109 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(760,a,2098,a)]. 2110 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),2075(a,1,2,2,1,2,2)),flip(a)]. 2111 ((x * x) * (y * (z * u))) \ (((x * x) * (y * z)) * u) = a((x * x) * y,z,u). [para(33(a,1),112(a,1,2,1))]. 2112 (x * (y * ((z * z) * u))) \ ((x * y) * ((z * z) * u)) = a(x,y * (z * z),u). [para(118(a,1),115(a,1,2))]. 2113 (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) = a(x * (y * y),z,u). [para(34(a,1),116(a,1,2,1))]. 2114 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(457(a,1),928(a,1,1)),flip(a)]. 2115 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(140,a,2114,a)]. 2116 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(104(a,1),2115(a,1,1,1,1,2))]. 2117 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(227(a,1),2116(a,2,2))]. 2118 (x * y) / a(z \ 1,(z \ 1) \ x,y) = z * (((z \ (z * z)) \ x) * y). [para(682(a,1),966(a,2,2,1))]. 2119 (x * y) / a(z \ 1,(z \ 1) \ x,y) = z * ((z \ x) * y). [para(9(a,1),2118(a,2,2,1,1))]. 2120 (x \ 1) * (((x \ 1) \ y) * z) = x * ((x \ y) * z). [hyper(934,a,2119,a)]. 2121 (1 / x) * T((x \ 1) \ y,x) = (x \ y) * x. [hyper(36,a,725,a,b,2120,a(flip))]. 2123 (x * y) / a(x / (1 / z),1 / z,y) = (x / z) * (((z * z) / z) * y). [para(442(a,1),968(a,2,2))]. 2124 (x * y) / a(x / (1 / z),1 / z,y) = (x / z) * (z * y). [para(11(a,1),2123(a,2,2,1))]. 2125 (x / (1 / y)) * ((1 / y) * z) = (x / y) * (y * z). [hyper(65,a,730,a(flip),b,2124,a)]. 2126 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(353(a,1),1206(a,1,2,2))]. 2127 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(141,a,2126,a)]. 2128 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2127(a,1),1021(a,1,2,1))]. 2129 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2127(a,1),1626(a,2,2,1)),flip(a)]. 2130 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(65,a,1712,a(flip),b,1411,a)]. 2132 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2130(a,1),691(a,1,1))]. 2133 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(886,a,2132,a),flip(a)]. 2134 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2133(a,1),1629(a,1,2))]. 2135 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(290,a,456,a(flip),b,1422,a),flip(a)]. 2136 T(x,x * (y * T(y \ 1,x))) = x. [para(2135(a,1),427(a,1,2))]. 2137 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2135(a,1),1389(a,1,2)),flip(a)]. 2138 T(x,x * K(y,x)) = x. [para(1344(a,2),2136(a,1,2,2))]. 2139 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1345(a,1),2136(a,1,2,2))]. 2140 T(x * K(y,x),x) = x * K(y,x). [hyper(56,a,2138,a)]. 2141 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1163(a,1),2139(a,1,2,2,2,2))]. 2142 T(x,x * (T(x,y) \ x)) = x. [para(10(a,1),2141(a,1,2,2,2))]. 2143 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(2142(a,1),23(a,1,1)),flip(a)]. 2144 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(65,a,1113,a(flip),b,2143,a)]. 2145 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(190,a,2144,a)]. 2146 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1413,a,2145,a)]. 2147 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(2145(a,2),751(a,1,2))]. 2148 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(2146(a,1),417(a,1,1)),flip(a)]. 2149 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1990(a,1),311(a,1))]. 2150 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2149,a,1866,a)]. 2151 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(1918(a,1),2150(a,1,2)),flip(a)]. 2152 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(78(a,1),2151(a,1,2,1)),flip(a)]. 2153 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2152(a,1),1760(a,1,1))]. 2154 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(65,a,1291,a(flip),b,2153,a)]. 2155 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(81(a,1),2154(a,2,1,1,1))]. 2156 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(105(a,2),2154(a,2,1,1)),flip(a)]. 2157 ((x * x) * (y * (z * u))) \ ((x * x) * ((y * z) * u)) = a((x * x) * y,z,u). [para(33(a,1),2111(a,1,2))]. 2158 a(x,y * (z * z),u) = a(x,y,(z * z) * u). [hyper(733,a,2112,a),flip(a)]. 2159 a(x,y * (z * z),u) != w | a(x,y,(z * z) * u) = w. [para(2112(a,1),733(a,1))]. 2160 a(x * (y * y),z,u) = a(x,(y * y) * z,u). [hyper(65,a,111,a(flip),b,2113,a),flip(a)]. 2161 L(a(x,y,z),x * (y * z),u * u) = a((u * u) * x,y,z). [hyper(65,a,482,a(flip),b,2157,a)]. 2162 a((x * x) * y,z,u) = a(y,z,u). [hyper(474,a,2161,a),flip(a)]. 2164 a((x * x) \ y,z,u) = a(y,z,u). [para(10(a,1),2162(a,1,1)),flip(a)]. 2165 a(x * (x * y),z,u) = a(L(y,x,x),z,u). [para(94(a,1),2162(a,1,1))]. 2166 a(((x * x) \ y) * z,u,w) = a(y * z,u,w). [para(109(a,1),2162(a,1,1)),flip(a)]. 2167 a((x \ 1) \ y,z,u) = a(x \ y,z,u). [para(805(a,1),2162(a,1,1))]. 2168 a(1 / x,y,z) = a(x,y,z). [para(441(a,1),2164(a,1,1))]. 2169 a(x \ 1,y,z) = a(x,y,z). [para(78(a,1),2168(a,1,1)),flip(a)]. 2170 a(1 / x,y,z) = a(x \ 1,y,z). [hyper(290,a,2168,a,b,2169,a)]. 2171 a((x * x) \ (y \ 1),z,u) = a(y * (x * x),z,u). [para(403(a,1),2169(a,1,1))]. 2172 a((1 / x) * y,z,u) = a(x * y,z,u). [para(441(a,1),2166(a,1,1,1))]. 2173 a(x * (y * y),z,u) = a(x \ 1,z,u). [hyper(65,a,2164,a(flip),b,2171,a),flip(a)]. 2175 a(x * (y * y),z,u) = a(x,z,u). [hyper(290,a,2169,a(flip),b,2173,a),flip(a)]. 2176 a(x,(y * y) * z,u) = a(x,z,u). [hyper(65,a,2160,a(flip),b,2175,a)]. 2177 a(x / (1 / y),z,u) = a(x / y,z,u). [para(701(a,1),2175(a,1,1))]. 2179 a(x,(y * y) \ z,u) = a(x,z,u). [para(10(a,1),2176(a,1,2)),flip(a)]. 2180 a(x,T(y,z * z),u) = a(x,y * (z * z),u). [para(104(a,1),2176(a,1,2)),flip(a)]. 2181 a(x,y * (y * z),u) = a(x,L(z,y,y),u). [para(94(a,1),2176(a,1,2))]. 2182 a(x,1 / y,z) = a(x,y,z). [para(441(a,1),2179(a,1,2))]. 2183 a(x,L(y \ z,y,y),u) = a(x,y * z,u). [para(96(a,2),2179(a,1,2))]. 2184 a(x,1 / ((y * y) \ z),u) = a(x,z,u). [hyper(290,a,2179,a(flip),b,2182,a),flip(a)]. 2185 a(x,y \ 1,z) = a(x,y,z). [para(78(a,1),2182(a,1,2)),flip(a)]. 2186 a(x,1 / y,z) = a(x,y \ 1,z). [hyper(290,a,2182,a,b,2185,a)]. 2187 (x * y) * a(x,z,(z \ 1) \ y) = (x * (z \ 1)) * ((z \ 1) \ y). [para(2185(a,1),731(a,1,2))]. 2188 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(65,a,1744,a,b,2186,a)]. 2189 a(x,(1 / y) * (z * z),u) = a(x,y,u). [para(685(a,1),2184(a,1,2))]. 2190 a(x,1 / y,(z * z) * u) = a(x,y,u). [hyper(2159,a,2189,a)]. 2191 a(x,y,(z * z) * u) = a(x,y,u). [hyper(65,a,2182,a(flip),b,2190,a)]. 2192 a(x,y,(z \ 1) \ u) = a(x,y,z \ u). [para(805(a,1),2191(a,1,3))]. 2193 a(x,y,(1 / z) \ u) = a(x,y,z \ u). [para(81(a,1),2192(a,1,3,1)),flip(a)]. 2194 a(x,y,z \ 1) = a(x,y,z). [para(81(a,1),2193(a,1,3)),flip(a)]. 2195 a(x,y,(z \ 1) \ 1) = a(x,y,z). [hyper(290,a,2194,a(flip),b,2194,a),flip(a)]. 2196 a(x,y,1 / z) = a(x,y,z \ 1). [hyper(65,a,2193,a(flip),b,2194,a),flip(a)]. 2197 x \ R(x,y,y) = a(x,y,y). [hyper(65,a,791,a(flip),b,2194,a)]. 2198 x * a(x,y,y) = R(x,y,y). [hyper(141,a,2197,a)]. 2199 R(x,y,y) / x = a(x,y,y). [hyper(65,a,1767,a,b,2197,a)]. 2200 x * a(x,y,y) != z | R(x,y,y) = z. [para(2197(a,1),245(a,1,2)),flip(b)]. 2201 L(a(x \ y,z,z),x \ y,x) != u | y \ (x * R(x \ y,z,z)) = u. [para(2197(a,1),586(a,1,1))]. 2202 a(x,y,y) * x = R(x,y,y). [para(2197(a,1),1766(a,1,1))]. 2203 x \ R(x,y,y) != z | a(x,y,y) = z. [para(2198(a,1),307(a,1,2))]. 2204 (x \ 1) * a(x,y,y) = R(x \ 1,y,y). [para(2169(a,1),2198(a,1,2))]. 2205 R(a(x / y,z,z),x / y,y) = (R(x / y,z,z) * y) / x. [para(2199(a,1),527(a,1,1))]. 2207 (x * y) \ (R(x,z,z) * y) != u | R(T(a(x,z,z),x * y),x,y) = u. [para(2202(a,1),964(a,1,2,1))]. 2208 a(x,y,y) * (1 / x) = R(1 / x,y,y). [para(2168(a,1),2202(a,1,1))]. 2209 a(x,(1 / y) * z,u) = a(x,y * z,u). [para(663(a,1),2183(a,1,2))]. 2210 a(x,(y \ 1) * z,u) = a(x,y * z,u). [para(78(a,1),2209(a,1,2,1)),flip(a)]. 2211 a(x,T(y,z * z),u) = a(x,y,(z * z) * u). [hyper(290,a,2158,a(flip),b,2180,a),flip(a)]. 2212 a(x,T(y,z * z),u) = a(x,y,u). [hyper(290,a,2191,a(flip),b,2211,a),flip(a)]. 2214 R(a(x / y,z,z),x / y,y) = (y * R(y \ x,z,z)) / x. [para(636(a,1),2205(a,2,1))]. 2215 (x * (y \ 1)) * ((y \ 1) \ z) = (x * z) * a(x,y,y \ z). [para(2192(a,1),2187(a,1,2)),flip(a)]. 2216 (x * (y \ 1)) * ((y \ 1) \ z) = (x * y) * (y \ z). [hyper(290,a,731,a(flip),b,2215,a),flip(a)]. 2219 (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(1315(a,1),625(a,1,1))]. 2220 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(18(a,2),768(a,2,1,1))]. 2221 L(x,y,y) \ x = a(y,y,x). [hyper(290,a,449,a(flip),b,2220,a)]. 2222 x / a(y,y,x) = L(x,y,y). [hyper(190,a,2221,a)]. 2223 L(x,y,z * (u * u)) != w | L(x,(u * u) * y,z) = w. [para(1701(a,1),866(a,1))]. 2224 (x * ((y * y) * x)) * ((y * y) * ((x * (y * y)) \ z)) = ((x * (y * y)) \ 1) \ z. [para(34(a,1),984(a,1,1))]. 2225 ((1 / x) \ y) \ (K(x,x \ 1) \ ((x \ 1) \ z)) = (((1 / x) \ 1) \ y) \ (x \ z). [para(1793(a,2),1037(a,1,2,1))]. 2226 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(12(a,1),1071(a,2,2))]. 2227 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(290,a,628,a(flip),b,2226,a),flip(a)]. 2228 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(628(a,1),2227(a,1,1))]. 2229 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(136,a,2228,a)]. 2230 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(7(a,1),2229(a,1,1,2,1,2)),flip(a)]. 2231 (((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),2230(a,1,1)),flip(a)]. 2232 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(169(a,1),1085(a,1,1,1,1)),flip(a)]. 2233 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1090,a,2232,a)]. 2234 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(81(a,1),2233(a,1,2,1,1))]. 2235 ((((x \ 1) * (x \ 1)) \ 1) * y) / z = (x * x) * ((K(x,x \ 1) * y) / z). [para(1906(a,1),1105(a,1,2,1,1)),flip(a)]. 2236 ((((x \ 1) * (x \ 1)) \ 1) * y) / z = (x * x) * (K(x,x \ 1) * (y / z)). [para(1871(a,1),2235(a,2,2))]. 2237 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(10(a,1),1253(a,1,2,1)),flip(a)]. 2238 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(106(a,1),2237(a,1,1)),flip(a)]. 2239 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(106(a,1),2238(a,1,2)),flip(a)]. 2240 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(9(a,1),2239(a,1,1)),flip(a)]. 2241 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(9(a,1),2240(a,1,2)),flip(a)]. 2242 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(104(a,1),1337(a,1,2,1,1)),flip(a)]. 2243 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(229,a,1657,a(flip),b,2242,a),flip(a)]. 2244 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(65,a,877,a,b,2243,a),flip(a)]. 2245 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1648(a,1),2243(a,1,2,1,1)),flip(a)]. 2246 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(1042(a,1),2244(a,2,1,2))]. 2247 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1471(a,1),2246(a,1,1,2)),flip(a)]. 2248 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(1032(a,1),1472(a,2,1))]. 2249 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(36,a,279,a,b,2248,a),flip(a)]. 2250 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1487(a,1,2,1,1)),flip(a)]. 2251 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(945(a,1),2250(a,1,2))]. 2252 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1499,a,2251,a),flip(a)]. 2253 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),2252(a,1,2,1,2)),flip(a)]. 2254 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(215(a,1),2253(a,1,1,2,1,2)),flip(a)]. 2255 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(193(a,1),2254(a,1,2,1,2))]. 2256 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1217,a,2255,a),flip(a)]. 2257 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(268,a,2255,a),flip(a)]. 2258 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(125,a,2255,a)]. 2259 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(65,a,1431,a(flip),b,2255,a)]. 2261 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(2256(a,1),104(a,1,2)),flip(a)]. 2262 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(254(a,1),2256(a,2,1,2))]. 2264 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1318(a,2),2262(a,1,2))]. 2265 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(37,a,2247,a,b,2257,a(flip))]. 2266 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2265(a,1),106(a,1,1))]. 2267 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1469(a,1),2258(a,1,2,1,2)),flip(a)]. 2268 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(326(a,1),2259(a,2,1))]. 2269 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(65,a,2107,a,b,2268,a)]. 2270 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(2038(a,1),2261(a,2,2,1,2)),flip(a)]. 2271 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(1710,a,2269,a)]. 2272 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2271(a,1),1715(a,1,1))]. 2273 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(10(a,1),2267(a,2,2,1))]. 2275 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(193(a,1),2273(a,2,2))]. 2276 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(65,a,2266,a(flip),b,2275,a)]. 2277 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(56,a,2275,a)]. 2280 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(57,a,2277,a)]. 2281 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(2265(a,2),2280(a,1,2))]. 2282 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1530,a,1745,a)]. 2283 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1794(a,1),2282(a,1,3))]. 2284 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2283(a,1),1816(a,1,1)),flip(a)]. 2285 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(296,a,2284,a),flip(a)]. 2286 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(65,a,1485,a(flip),b,2285,a),flip(a)]. 2287 (x / y) * K(y,1 / y) = x / (1 / (1 / y)). [para(1792(a,2),2286(a,1,2))]. 2288 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(229,a,1620,a(flip),b,1546,a(flip)),flip(a)]. 2289 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(8(a,1),1546(a,1,2,1,2)),flip(a)]. 2290 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(229,a,1635,a(flip),b,2289,a),flip(a)]. 2291 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(125,a,2290,a)]. 2292 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(208(a,1),2290(a,1,2)),flip(a)]. 2293 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(353(a,1),2291(a,1,2,1,2))]. 2294 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1400(a,1),2292(a,2,2,1))]. 2295 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2134(a,1),2294(a,1,1)),flip(a)]. 2296 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(638(a,1),1656(a,2,2,1))]. 2297 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(1948(a,1),1982(a,1,1))]. 2298 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(9(a,1),2105(a,1,1,1))]. 2300 (x * ((y * y) * x)) * ((y * y) * ((y * y) \ (x \ z))) = ((x * (y * y)) \ 1) \ z. [para(403(a,1),2224(a,1,2,2))]. 2301 ((1 / x) \ y) \ (K(x \ 1,x) * ((x \ 1) \ z)) = (((1 / x) \ 1) \ y) \ (x \ z). [para(1929(a,1),2225(a,1,2))]. 2302 (x * ((y * y) * x)) * (x \ z) = ((x * (y * y)) \ 1) \ z. [hyper(308,a,2300,a)]. 2304 (x * ((y * y) * x)) * (x \ z) = ((y * y) \ (x \ 1)) \ z. [para(403(a,1),2302(a,2,1))]. 2305 (x * ((y * y) * x)) * (x \ z) = (x \ 1) \ ((y * y) * z). [hyper(290,a,622,a(flip),b,2304,a),flip(a)]. 2306 (x \ 1) \ ((y * y) * x) != z | x * ((y * y) * x) = z. [para(2305(a,1),202(a,1))]. 2307 (((1 / x) \ 1) \ y) \ (x \ z) = ((1 / x) \ y) \ ((1 / x) \ z). [para(1945(a,1),2301(a,1,2)),flip(a)]. 2308 ((1 / x) \ y) \ ((1 / x) \ z) = (x \ y) \ (x \ z). [para(81(a,1),2307(a,1,1,1)),flip(a)]. 2309 (x \ 1) \ (x \ y) = x \ ((1 / x) \ y). [para(81(a,1),2308(a,1,1)),flip(a)]. 2310 ((1 / x) \ y) \ x = (x \ y) \ (x \ 1). [para(81(a,1),2308(a,1,2))]. 2311 ((1 / x) \ ((x * x) * y)) \ ((1 / x) \ z) = ((1 / x) \ y) \ (x \ z). [para(676(a,1),2308(a,2,1))]. 2312 (x \ 1) * (x \ ((1 / x) \ y)) = x \ y. [hyper(141,a,2309,a)]. 2313 (x \ 1) * T(x \ ((1 / x) \ y),z) = x \ T(y,z). [para(2309(a,1),1033(a,1,2,1))]. 2314 x \ ((1 / x) * y) = (x \ 1) * (x \ y). [para(9(a,1),2312(a,1,2,2)),flip(a)]. 2315 (x \ 1) * (x \ 1) = x \ (1 / x). [para(68(a,1),2312(a,1,2,2))]. 2317 (x \ 1) / x = x \ (1 / x). [hyper(900,a,2315,a)]. 2318 (x * x) \ (x \ 1) = x \ (x \ (1 / x)). [hyper(120,a,2315,a(flip),b,710,a),flip(a)]. 2319 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [para(2315(a,1),675(a,1,1))]. 2320 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [para(2315(a,1),679(a,1,1))]. 2321 (1 / x) * (1 / x) = (x \ 1) / x. [hyper(290,a,413,a,b,2317,a)]. 2322 (1 / x) / (1 / (1 / x)) = (x \ 1) / x. [hyper(65,a,439,a,b,2321,a)]. 2323 (x * y) * (((y \ 1) / y) * z) = (x * (1 / y)) * z. [para(2321(a,1),986(a,1,2,1))]. 2324 L(x \ y,x \ 1,x) = (1 / x) * y. [hyper(605,a,2314,a)]. 2325 x \ ((1 / x) / (1 / (1 / x))) = (x \ 1) * (x \ (1 / x)). [para(439(a,2),2314(a,1,2))]. 2326 L((x \ 1) * (x \ y),x \ 1,x) = (1 / x) * ((1 / x) * y). [para(2314(a,1),2324(a,1,1))]. 2327 R(x / (y \ (1 / y)),y \ (1 / y),y \ (1 / y)) = x * (y * ((y \ 1) \ 1)). [para(2319(a,1),786(a,2,2))]. 2328 T(x \ 1,x \ (1 / x)) = 1 / x. [hyper(230,a,2320,a)]. 2330 x \ ((1 / x) / (1 / (1 / x))) = (x * x) \ (x \ 1). [para(2322(a,2),713(a,2,2)),flip(a)]. 2331 (x \ 1) * T(x \ 1,y) = x \ T(1 / x,y). [para(68(a,1),2313(a,1,2,1,2))]. 2332 (x * y) * ((y \ 1) * (y \ z)) = (x * (1 / y)) * z. [para(898(a,1),2323(a,1,2))]. 2333 ((x / y) * (1 / y)) * z = x * ((y \ 1) * (y \ z)). [hyper(296,a,2332,a),flip(a)]. 2334 (x * (1 / y)) * (y * z) = (x * y) * ((y \ 1) * z). [para(9(a,1),2332(a,1,2,2)),flip(a)]. 2335 (x * ((y * (1 / z)) * u)) \ ((x * (y * z)) * ((z \ 1) * (z \ u))) = a(x,y * z,(z \ 1) * (z \ u)). [para(2332(a,1),14(a,2,1,2)),flip(a)]. 2336 ((x * y) * (((y \ 1) * (y \ z)) * u)) \ (((x * (1 / y)) * z) * u) = a(x * y,(y \ 1) * (y \ z),u). [para(2332(a,1),14(a,2,2,1)),flip(a)]. 2337 (T(1 / x,y) * x) * ((x \ 1) * (x \ z)) = ((1 / x) * T(1 / x,y)) * z. [para(233(a,1),2332(a,2,1))]. 2339 (x \ (y * z)) * ((z \ 1) * (z \ 1)) = x \ ((y * (1 / z)) * 1). [para(2332(a,1),399(a,1,2)),flip(a)]. 2340 (x * (y * z)) * (((z \ 1) * (z \ 1)) * u) = (x * ((y * (1 / z)) * 1)) * u. [para(2332(a,1),118(a,1,1,2)),flip(a)]. 2341 (x * (1 / y)) * ((y \ 1) \ z) = (x * y) * (((y \ 1) \ 1) \ z). [para(896(a,1),2332(a,1,2)),flip(a)]. 2342 (((1 / x) * (1 / x)) * y) / z = (x \ 1) * (x \ (y / z)). [hyper(119,a,2333,a(flip),b,623,a),flip(a)]. 2343 (((1 / x) * (1 / x)) * y) * z = (x \ 1) * (x \ (y * z)). [hyper(119,a,2333,a(flip),b,33,a),flip(a)]. 2344 a(x,y,((1 / z) * z) * ((z \ 1) * u)) = a(x,y,z * u). [para(2334(a,1),2191(a,1,3))]. 2347 (((x \ 1) / x) * y) / z = (x \ 1) * (x \ (y / z)). [para(2321(a,1),2342(a,1,1,1))]. 2348 (x \ 1) * (x \ (1 / y)) = ((x \ 1) / x) / y. [para(8(a,1),2347(a,1,1)),flip(a)]. 2349 ((x \ 1) * (x \ y)) / z = (x \ 1) * (x \ (y / z)). [para(898(a,1),2347(a,1,1))]. 2350 (x \ 1) * (x \ (1 / y)) = (x \ (1 / x)) / y. [para(2317(a,1),2348(a,2,1))]. 2351 x \ ((1 / x) / (1 / (1 / x))) = (x \ (1 / x)) / x. [hyper(65,a,2325,a,b,2350,a)]. 2352 (x \ y) / (z * z) = x \ (y / (z * z)). [hyper(799,a,2349,a)]. 2353 (x \ 1) / (y * y) = x \ (y \ (y \ 1)). [para(720(a,1),2352(a,2,2))]. 2354 T((x / y) / T(y,y \ x),y \ 1) = (y \ 1) \ (y \ (x / (y * y))). [para(2352(a,1),1435(a,2,2))]. 2355 (x \ (y \ (y \ 1))) \ z = (y * y) * ((x \ 1) \ z). [para(2353(a,1),804(a,1,1))]. 2356 (x \ (1 / x)) / x = (x * x) \ (x \ 1). [hyper(65,a,2330,a(flip),b,2351,a),flip(a)]. 2357 (((x \ 1) / x) * y) * z = (x \ 1) * (x \ (y * z)). [para(2321(a,1),2343(a,1,1,1))]. 2358 ((x \ 1) * (x \ y)) * z = (x \ 1) * (x \ (y * z)). [para(898(a,1),2357(a,1,1))]. 2359 T((x \ 1) * (x \ y),x \ 1) = x \ (y * (x \ 1)). [hyper(229,a,2358,a,b,xx)]. 2360 (x \ 1) * y != ((x \ 1) * (x \ z)) * u | x \ (z * u) = y. [para(2358(a,2),45(a,1)),flip(a)]. 2362 (x \ 1) * (x \ (((1 / x) \ y) * z)) = (x \ y) * z. [para(2312(a,1),2358(a,1,1)),flip(a)]. 2363 a(x,y,(z \ 1) * u) = a(x,y,z * u). [para(79(a,1),2344(a,1,3))]. 2364 a(x,y,(1 / z) * u) = a(x,y,z * u). [para(81(a,1),2363(a,1,3,1)),flip(a)]. 2366 L((x \ 1) * (x \ y),x \ 1,x \ 1) = (1 / x) * ((1 / x) * y). [hyper(65,a,1846,a,b,2326,a)]. 2367 (x \ (y * z)) * ((z \ 1) * (z \ 1)) = x \ (y * (1 / z)). [para(8(a,1),2339(a,2,2))]. 2368 a(x \ (y * (1 / z)),u,w) = a(x \ (y * z),u,w). [para(2367(a,1),2175(a,1,1))]. 2369 (x \ (y * z)) * (z \ (1 / z)) = x \ (y * (1 / z)). [para(2315(a,1),2367(a,1,2))]. 2370 (x \ (y * (1 / z))) / (z \ (1 / z)) = x \ (y * z). [hyper(136,a,2369,a)]. 2371 (x \ (y * (z \ (1 / z)))) * (z * ((z \ 1) \ (1 / (z \ (1 / z))))) = x \ (y * (1 / (z \ (1 / z)))). [para(2319(a,1),2369(a,1,2))]. 2372 (x * (y \ 1)) * ((T(y,y \ 1) \ 1) \ z) = (x * (1 / (y \ 1))) * (((y \ 1) \ 1) \ z). [para(105(a,2),2341(a,2,2,1,1)),flip(a)]. 2373 T((x / y) / T(y,y \ x),y \ 1) = y \ ((1 / y) \ (x / (y * y))). [hyper(290,a,2309,a(flip),b,2354,a),flip(a)]. 2374 T((x / y) / T(y,y \ x),y \ 1) = y \ (y \ T(x,y \ (y \ 1))). [para(1003(a,1),2373(a,2,2))]. 2375 x \ (x \ T(y,x \ (x \ 1))) = T((x \ y) / x,x \ 1). [para(1426(a,1),2374(a,1,1)),flip(a)]. 2376 x \ (x \ T(y * x,x \ (x \ 1))) = T(T(y,x) / x,x \ 1). [para(22(a,2),2375(a,2,1,1))]. 2377 (x * (y * z)) * (((z \ 1) * (z \ 1)) * u) = (x * (y * (1 / z))) * u. [para(8(a,1),2340(a,2,1,2))]. 2378 (x * (y * z)) * ((z \ 1) * (z \ u)) = (x * (y * (1 / z))) * u. [para(679(a,1),2377(a,1,2))]. 2379 R((x / (1 / y)) * y,y \ (1 / y),y \ (1 / y)) = x * (y * ((y \ 1) \ 1)). [para(912(a,1),2327(a,1,1))]. 2380 x * (y * ((y \ 1) \ 1)) = (x / (1 / y)) * y. [hyper(522,a,2379,a),flip(a)]. 2381 x * ((x \ 1) \ 1) = (1 / x) \ x. [hyper(899,a,2380,a),flip(a)]. 2383 x * T(x,x \ 1) = (1 / x) \ x. [hyper(697,a,2381,a)]. 2384 (x / (1 / y)) * y = x * ((1 / y) \ y). [para(2381(a,1),2380(a,1,2)),flip(a)]. 2385 x / (y \ (1 / y)) = x * ((1 / y) \ y). [hyper(65,a,912,a,b,2384,a)]. 2386 (x \ (y * (1 / z))) * ((1 / z) \ z) = x \ (y * z). [hyper(65,a,2370,a(flip),b,2385,a),flip(a)]. 2387 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(933,a,1022,a),flip(a)]. 2388 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2387(a,1,2,1,2,2)),flip(a)]. 2389 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(903(a,1),2387(a,2,1))]. 2390 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(296,a,2388,a),flip(a)]. 2391 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2388(a,1),296(a,1))]. 2392 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1161,a,2390,a),flip(a)]. 2393 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(65,a,1277,a(flip),b,2390,a)]. 2394 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(229,a,2392,a,b,10,a)]. 2396 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(525(a,2),2393(a,2,1,2,1)),flip(a)]. 2397 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1156(a,1),2391(a,1))]. 2399 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(296,a,2389,a),flip(a)]. 2400 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(65,a,1277,a(flip),b,2389,a)]. 2401 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(229,a,2389,a(flip),b,1545,a),flip(a)]. 2402 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),2389(a,1,2,1,2,2))]. 2403 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(71(a,1),2389(a,1,2,1)),flip(a)]. 2405 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(65,a,1276,a(flip),b,2402,a)]. 2406 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(65,a,1275,a(flip),b,2402,a),flip(a)]. 2407 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(229,a,2402,a(flip),b,2079,a(flip))]. 2409 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2402(a,1),2393(a,1,2)),flip(a)]. 2410 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(290,a,1626,a(flip),b,2407,a)]. 2411 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1388(a,1),2406(a,1,1)),flip(a)]. 2412 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(10(a,1),2410(a,1,2,1)),flip(a)]. 2413 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(10(a,1),2410(a,2,1,2,1))]. 2414 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1115(a,1),2413(a,1,2,1))]. 2415 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1793(a,2),2414(a,2,1))]. 2416 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(290,a,1793,a,b,2412,a),flip(a)]. 2417 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1629(a,1),2416(a,1,1)),flip(a)]. 2418 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(290,a,2295,a,b,2417,a)]. 2419 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(36,a,1793,a(flip),b,2418,a),flip(a)]. 2420 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(254(a,1),2419(a,1,2))]. 2421 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),2400(a,1,2,2,1)),flip(a)]. 2422 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(96(a,2),2421(a,2,2,2,1))]. 2423 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1288(a,1),2420(a,1,1))]. 2424 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(65,a,2276,a(flip),b,2423,a),flip(a)]. 2425 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(183,a,2424,a),flip(a)]. 2426 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2424(a,1,2,1)),flip(a)]. 2427 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(65,a,650,a(flip),b,2425,a)]. 2428 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(190,a,2426,a)]. 2429 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(78(a,1),2426(a,1,1,1,2)),flip(a)]. 2430 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(81(a,1),2427(a,1,1,1)),flip(a)]. 2431 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(106(a,1),2427(a,2,1,1))]. 2432 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2427(a,2),1967(a,1,1))]. 2433 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(65,a,2014,a,b,2428,a)]. 2434 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(106(a,1),2428(a,1,2,2)),flip(a)]. 2435 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2428(a,1),1612(a,1,1,1,2))]. 2436 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(259,a,2431,a)]. 2437 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2431(a,1),104(a,1,2)),flip(a)]. 2438 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [hyper(259,a,2434,a)]. 2439 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2434(a,1),104(a,1,2)),flip(a)]. 2440 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1305,a,2437,a)]. 2441 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(101(a,2),2437(a,1,1,1,1))]. 2442 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(9(a,1),2438(a,1,1,2,2,2))]. 2443 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(9(a,1),2440(a,2,1,1))]. 2444 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(65,a,1823,a(flip),b,2443,a)]. 2446 T(x,y / (y * x)) = T(x,x \ 1). [hyper(290,a,105,a,b,2444,a),flip(a)]. 2447 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(10(a,1),2444(a,1,2,2))]. 2448 T(1 / (1 / x),y / (y * x)) = x. [hyper(1779,a,2446,a(flip))]. 2449 T(1 / (1 / x),(y / x) / y) = x. [para(12(a,1),2448(a,1,2,2))]. 2450 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2449(a,1),216(a,1,2,2))]. 2451 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(11(a,1),2447(a,1,2))]. 2452 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(78(a,1),2447(a,1,2))]. 2453 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(65,a,2155,a(flip),b,2451,a),flip(a)]. 2454 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [hyper(190,a,2452,a(flip))]. 2455 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2452(a,1),1957(a,1,2))]. 2456 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(1970(a,1),2454(a,1,2))]. 2457 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2082(a,2),2450(a,1,2))]. 2458 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(1848(a,1),2453(a,1,1,1,1))]. 2459 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(81(a,1),2455(a,1,2,1,1,2)),flip(a)]. 2460 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(179(a,1),2455(a,1,2,1,1,2))]. 2461 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(81(a,1),2456(a,1,2,2,1)),flip(a)]. 2462 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [hyper(190,a,2459,a)]. 2463 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(190,a,2461,a)]. 2464 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),2462(a,1,2,2,1,1))]. 2465 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2437(a,2),2462(a,1,2))]. 2466 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(141,a,2463,a(flip))]. 2468 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(11(a,1),2465(a,1,2,1,1,1))]. 2469 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(121,a,2466,a(flip),b,2439,a)]. 2470 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(1750,a,2468,a)]. 2471 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(210(a,2),2470(a,2,1,1)),flip(a)]. 2472 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(78(a,1),2469(a,1,1,1,2)),flip(a)]. 2473 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(215(a,1),2435(a,1,1))]. 2475 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2473(a,1),2015(a,1,2))]. 2476 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(37,a,2272,a,b,2475,a)]. 2479 K(K(x \ 1,x),y) = 1. [hyper(57,a,2476,a)]. 2480 T(x,K(y \ 1,y)) = x. [hyper(56,a,2476,a)]. 2481 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2476(a,1),104(a,1,2)),flip(a)]. 2482 T((x \ 1) * x,y) = K(x \ 1,x). [para(248(a,1),2476(a,1,1))]. 2483 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2476(a,1),268(a,1,2))]. 2485 K(K(x,x \ 1),y) = 1. [para(1794(a,1),2479(a,1,1))]. 2486 T(x,K(y,1 / y)) = x. [para(81(a,1),2480(a,1,2,1))]. 2487 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),268(a,1,2))]. 2488 T(x,K(y,y \ 1)) = x. [para(1794(a,1),2480(a,1,2))]. 2489 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(58,a,2485,a)]. 2490 T(K(x,1 / x),y) = K(x,1 / x). [hyper(56,a,2486,a)]. 2491 K(x,1 / x) * y = y * K(x,1 / x). [hyper(36,a,2066,a(flip),b,2486,a(flip)),flip(a)]. 2493 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(65,a,2024,a(flip),b,2488,a)]. 2494 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(36,a,2066,a(flip),b,2488,a(flip)),flip(a)]. 2495 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2488(a,1),268(a,1,2))]. 2496 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(120,a,2489,a(flip),b,2415,a)]. 2497 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2489(a,1),268(a,1,2))]. 2498 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2490(a,1),268(a,1,2))]. 2501 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(1934,a,2481,a)]. 2502 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(290,a,1745,a(flip),b,2481,a),flip(a)]. 2503 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(290,a,1187,a(flip),b,2481,a),flip(a)]. 2504 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(65,a,1959,a,b,2481,a)]. 2505 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(65,a,1924,a,b,2481,a)]. 2506 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(65,a,2005,a(flip),b,2481,a),flip(a)]. 2507 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(65,a,1945,a(flip),b,2481,a),flip(a)]. 2508 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(65,a,1918,a(flip),b,2481,a),flip(a)]. 2509 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(65,a,1877,a(flip),b,2481,a),flip(a)]. 2510 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(60,a,2481,a)]. 2512 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2481(a,2),633(a,1,1))]. 2513 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2481(a,1),802(a,1,2))]. 2514 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2481(a,1),1873(a,1,1))]. 2515 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2481(a,1),1941(a,1,2))]. 2516 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2481(a,1),1934(a,1))]. 2517 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2481(a,1),1988(a,1,1))]. 2518 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(2481(a,1),1980(a,2,2))]. 2519 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2481(a,1),1981(a,1,1))]. 2521 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(290,a,2287,a(flip),b,2491,a),flip(a)]. 2522 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(65,a,1865,a,b,2491,a)]. 2523 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(1978,a,2494,a),flip(a)]. 2524 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(1977,a,2494,a),flip(a)]. 2525 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(1940,a,2494,a)]. 2527 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(1897,a,2494,a),flip(a)]. 2528 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(65,a,2045,a,b,2494,a)]. 2529 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(65,a,1915,a(flip),b,2494,a),flip(a)]. 2530 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(65,a,1870,a(flip),b,2494,a),flip(a)]. 2531 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2494(a,2),20(a,2,2)),flip(a)]. 2533 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2494(a,2),490(a,1,2))]. 2534 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2494(a,2),633(a,1,1))]. 2535 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2494(a,1),802(a,1,2))]. 2536 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2494(a,1),1868(a,1,1))]. 2537 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2494(a,1),1899(a,1,2))]. 2538 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2494(a,1),1903(a,1,2))]. 2539 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2494(a,1),1973(a,1,2))]. 2540 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2494(a,1),1940(a,1))]. 2541 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2494(a,1),1980(a,1,1))]. 2542 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2494(a,1),1991(a,1,1))]. 2543 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(65,a,2494,a(flip),b,2501,a)]. 2544 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(36,a,2494,a,b,2501,a),flip(a)]. 2545 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(1745(a,1),2501(a,1,2))]. 2546 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2525(a,1),45(a,1)),flip(a)]. 2547 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [para(2525(a,1),1988(a,1,1)),flip(a)]. 2548 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2284(a,1),2525(a,1,2))]. 2549 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(37,a,151,a,b,2543,a)]. 2550 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2543(a,1),46(a,1)),flip(a)]. 2551 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(1745(a,1),2543(a,1,1))]. 2552 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2544(a,1),101(a,2,1))]. 2555 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2504(a,1),2007(a,1,1))]. 2556 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1076(a,1),2505(a,1,2)),flip(a)]. 2557 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [para(2508(a,1),1752(a,1,1)),flip(a)]. 2558 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(1769(a,1),2508(a,1,1))]. 2560 K(x,x \ 1) = (x \ 1) * x. [hyper(36,a,810,a,b,2524,a),flip(a)]. 2561 K(x \ 1,x) = K(x,x \ 1). [hyper(290,a,248,a,b,2560,a)]. 2562 K(x,x \ 1) / x = x \ 1. [hyper(121,a,2560,a,b,xx)]. 2563 T(x \ 1,x) = 1 / x. [hyper(229,a,2560,a(flip),b,1793,a(flip))]. 2564 K(x,x \ 1) / x != y | x \ 1 = y. [para(2560(a,2),297(a,1,1)),flip(b)]. 2566 K(x,x \ 1) != y | K(x \ 1,x) = y. [para(2560(a,2),337(a,1))]. 2567 K(x,x \ 1) \ (x * ((1 / x) * y)) = L(y,x,x \ 1). [para(2560(a,2),726(a,1,1))]. 2568 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(1819,a,2563,a)]. 2569 R(x \ 1,x,x \ 1) = 1 / x. [hyper(65,a,643,a,b,2563,a)]. 2570 1 / (1 / x) = (x \ 1) \ 1. [hyper(65,a,1813,a(flip),b,2563,a),flip(a)]. 2571 (x * K(x,x \ 1)) * ((1 / x) \ y) = ((1 / x) * (1 / x)) \ y. [para(2561(a,1),2019(a,1,1,2))]. 2572 R(x,K(x,x \ 1),y) = x. [para(2561(a,1),2027(a,1,2))]. 2573 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1885(a,1),2572(a,1,2))]. 2575 (x * x) * ((y \ 1) \ 1) = (x * x) / (1 / y). [para(2568(a,1),411(a,1,2)),flip(a)]. 2576 R(x \ 1,x,x) = 1 / x. [hyper(65,a,788,a(flip),b,2569,a)]. 2579 K(x,x \ 1) / x = L(1 / x,x,x). [hyper(65,a,1804,a(flip),b,2530,a),flip(a)]. 2580 L(1 / x,x,x) = x \ 1. [hyper(2564,a,2579,a),flip(a)]. 2581 L(T(1 / x,y),x,x) = T(x \ 1,y). [para(2580(a,1),25(a,2,1))]. 2582 (x * x) * T(x \ 1,y) = x * (x * T(1 / x,y)). [para(2580(a,1),456(a,1,2,1))]. 2583 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [hyper(290,a,2527,a,b,2537,a)]. 2585 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(81(a,1),2538(a,2,1,1))]. 2586 (x \ 1) * (y * K(x,1 / x)) = (1 / x) * y. [para(1792(a,2),2539(a,1,2,2))]. 2587 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [hyper(1892,a,2545,a)]. 2588 T(K(x,x \ 1) * y,x \ 1) = (x \ 1) \ (y * (1 / x)). [hyper(120,a,2545,a(flip),b,1889,a),flip(a)]. 2590 x \ K(y,y \ 1) != z \ 1 | z * K(y,y \ 1) = x. [para(2547(a,1),50(a,1)),flip(a)]. 2591 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(65,a,2010,a,b,2548,a)]. 2592 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(37,a,1802,a,b,2551,a),flip(a)]. 2593 (x * (y \ 1)) * K(y,1 / y) = x * (1 / y). [para(1792(a,2),2551(a,1,2))]. 2594 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(511,a,2592,a),flip(a)]. 2595 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(78(a,1),2592(a,2,3))]. 2596 R(x,y,1 / y) != z | R(x,y,y \ 1) = z. [para(2592(a,1),511(a,1))]. 2597 R(x,1 / y,1 / (1 / y)) = R(x,1 / y,y). [para(81(a,1),2594(a,2,3))]. 2598 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [hyper(121,a,12,a(flip),b,2587,a),flip(a)]. 2599 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(1966(a,1),2587(a,1,1)),flip(a)]. 2600 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2009(a,1),2587(a,1,1))]. 2601 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(2494(a,1),2587(a,1,1))]. 2602 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2501(a,1),2587(a,1,1)),flip(a)]. 2603 (x * K(y,1 / y)) / (1 / y) = x / (y \ 1). [hyper(596,a,2593,a)]. 2604 R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y). [hyper(290,a,1734,a(flip),b,2597,a),flip(a)]. 2605 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(36,a,2501,a,b,2598,a)]. 2606 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2428(a,1),2598(a,1,2,2))]. 2607 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2602(a,1),1737(a,1,1)),flip(a)]. 2608 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [para(2287(a,1),2603(a,1,1))]. 2609 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(2596,a,2604,a)]. 2611 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [para(1079(a,1),2605(a,1,1))]. 2612 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(1187(a,1),2483(a,1))]. 2613 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(1939(a,1),2487(a,1))]. 2614 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(1870(a,1),2495(a,1))]. 2617 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1815(a,2),2595(a,1,2))]. 2618 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1588(a,1),2503(a,2,2))]. 2619 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2503(a,1),2487(a,1))]. 2620 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(290,a,2481,a(flip),b,2514,a),flip(a)]. 2621 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(2514(a,1),14(a,2,1)),flip(a)]. 2622 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2514(a,1),18(a,2,1)),flip(a)]. 2623 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(2514(a,1),463(a,1,2,2))]. 2624 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2605(a,1),2514(a,1,1)),flip(a)]. 2625 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2501(a,1),2518(a,1,1)),flip(a)]. 2626 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(121,a,151,a(flip),b,2522,a)]. 2627 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(290,a,2494,a(flip),b,2536,a),flip(a)]. 2628 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(121,a,2536,a(flip),b,100,a)]. 2629 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1881(a,1),2541(a,2,2))]. 2631 T(((x \ 1) * y) / (x \ 1),x) = (((x * x) \ y) * x) / (1 / x). [para(2557(a,1),910(a,1,1))]. 2632 ((1 / x) * (K(x,x \ 1) * y)) / (1 / x) = ((1 / x) * y) / (x \ 1). [para(1973(a,1),2557(a,2,1))]. 2633 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(22(a,2),2591(a,1,2))]. 2634 T(x,1 / (1 / y)) = T(x,y). [hyper(371,a,2633,a),flip(a)]. 2635 T(x,1 / y) = T(x,y \ 1). [para(78(a,1),2634(a,1,2,2))]. 2636 T(x,(y \ 1) \ 1) = T(x,y). [para(184(a,1),2634(a,1,2)),flip(a)]. 2637 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2635(a,1),104(a,1,2))]. 2638 ((x * x) \ T(y,x \ 1)) * x = T(y,x) * (1 / x). [para(2635(a,1),909(a,1,1,2))]. 2639 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(2636(a,1),104(a,1,2))]. 2640 T(x,T(y,y \ 1)) = T(x,y). [para(105(a,2),2636(a,1,2))]. 2641 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2452(a,2),2636(a,1,2))]. 2642 T(x,R(y \ 1,y,z) \ 1) = T(x,(z / (y * z)) \ 1). [para(2470(a,2),2636(a,1,2,1))]. 2643 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2470(a,2),2636(a,1,2))]. 2644 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2471(a,1),2636(a,1,2)),flip(a)]. 2645 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2640(a,1),104(a,1,2))]. 2646 T(x,x \ 1) * T(y,x) != z | y * T(x,x \ 1) = z. [para(2640(a,1),268(a,1,2))]. 2647 (x \ 1) * (x \ T(y,x \ 1)) = x \ (y * (1 / x)). [para(2637(a,1),2314(a,1,2)),flip(a)]. 2648 ((x \ 1) \ 1) \ R(y,x \ 1,x) = T(y * (x \ 1),x). [hyper(120,a,2595,a(flip),b,2639,a)]. 2649 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(65,a,1563,a,b,2644,a)]. 2650 x * (((1 / x) \ y) * (1 / x)) = T(x * y,x \ 1). [para(2599(a,2),1044(a,1,2))]. 2652 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(2620(a,2),2483(a,1))]. 2653 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(290,a,105,a,b,2625,a)]. 2654 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(65,a,527,a,b,2626,a)]. 2655 (x * K(y,y \ 1)) * z != u | K(y,y \ 1) * (x * z) = u. [para(2627(a,2),2497(a,1))]. 2656 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(120,a,2635,a,b,2650,a)]. 2657 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2505(a,2),2555(a,1,1))]. 2658 K(x \ 1,x) * (x * ((1 / x) * y)) = L(y,x,x \ 1). [hyper(1938,a,2567,a)]. 2659 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1504(a,1),2607(a,2,1))]. 2660 ((x \ 1) \ 1) \ R(y,x,x) = T(y * (x \ 1),x). [para(1733(a,1),2648(a,1,2))]. 2661 (x \ 1) \ T(y * (x \ 1),x) = x \ T(y * x,x \ 1). [para(2660(a,1),1014(a,1,2))]. 2662 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(1735(a,2),2649(a,2,2)),flip(a)]. 2663 K(x,x \ 1) * (x * ((1 / x) * y)) = L(y,x,x \ 1). [para(2561(a,1),2658(a,1,1))]. 2664 T(x,x \ 1) * ((1 / x) * y) = L(y,x,x \ 1). [hyper(1897,a,2663,a)]. 2665 T(x,x \ 1) * ((1 / x) * y) = L(y,x,x). [hyper(290,a,1846,a(flip),b,2664,a),flip(a)]. 2666 T(x,x \ 1) = L(x,x,x). [hyper(201,a,2665,a)]. 2667 T(x,x \ 1) * y = L(x,x,x) * y. [hyper(59,a,2666,a)]. 2668 1 / L(x,x,x) = x \ 1. [para(2666(a,1),254(a,1,2))]. 2669 x * T(x,x \ 1) = x / (x \ 1). [para(2666(a,2),794(a,1,2))]. 2670 x * L(x,x,x) = (1 / x) \ x. [para(2666(a,1),2383(a,1,2))]. 2671 x / (x \ 1) = (1 / x) \ x. [hyper(65,a,794,a(flip),b,2670,a)]. 2672 L(L(x,x,x),x,x) = x. [hyper(674,a,2670,a(flip))]. 2673 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(36,a,1250,a,b,2558,a)]. 2675 L(x,y,K(z \ 1,R(z,u,w))) = x. [para(2673(a,2),1866(a,1,3))]. 2677 (K(x \ 1,R(x,y,z)) * u) * w = K(x \ 1,R(x,y,z)) * (u * w). [hyper(1274,a,2675,a),flip(a)]. 2678 (1 / x) * (y * K(1 / x,x)) = (x \ 1) * y. [para(81(a,1),2585(a,1,2,2,2))]. 2679 (x * K(1 / y,y)) * K(y,1 / y) = x. [hyper(36,a,2586,a,b,2678,a(flip))]. 2681 x / K(y,1 / y) = x * K(1 / y,y). [hyper(136,a,2679,a)]. 2682 T((x \ y) * x,x \ 1) = x \ T(y * x,x \ 1). [hyper(916,a,2661,a)]. 2683 T(x,x \ 1) * ((1 / x) \ y) = ((1 / x) * (1 / x)) \ y. [para(1900(a,1),2571(a,1,1))]. 2684 T(((x \ 1) * y) / (x \ 1),x) = ((x * x) \ y) * (x * x). [hyper(290,a,703,a(flip),b,2631,a),flip(a)]. 2685 T(((x \ 1) * y) / (x \ 1),x) = T(y,x * x). [hyper(290,a,621,a(flip),b,2684,a),flip(a)]. 2686 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(290,a,2108,a(flip),b,2611,a),flip(a)]. 2687 T(x,R(y \ 1,(y \ 1) \ 1,x)) != z * x | y * ((x * (y \ 1)) / x) = z. [para(2662(a,2),46(a,1))]. 2688 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2556(a,1),1533(a,1,1))]. 2690 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2494(a,2),2531(a,1,1))]. 2691 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2494(a,2),2552(a,1,1,1))]. 2692 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(65,a,2628,a(flip),b,2690,a)]. 2693 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1796(a,1),2692(a,1,2)),flip(a)]. 2694 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1796(a,1),2693(a,1,3)),flip(a)]. 2695 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(1871(a,1),2691(a,1,1))]. 2696 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(37,a,2686,a(flip),b,2688,a),flip(a)]. 2698 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(290,a,208,a(flip),b,2696,a)]. 2699 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(208(a,1),2698(a,2,2,2)),flip(a)]. 2700 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(290,a,8,a,b,2699,a),flip(a)]. 2701 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(125,a,2699,a)]. 2702 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2701(a,1),273(a,1,1))]. 2703 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(251(a,1),2702(a,2,1))]. 2704 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2401(a,1,1))]. 2705 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2704(a,1,2,1,2,1))]. 2706 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2402(a,1),2405(a,1,2)),flip(a)]. 2707 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(65,a,2649,a(flip),b,2706,a),flip(a)]. 2708 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1626(a,2),2706(a,1,1))]. 2709 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1388(a,1),2411(a,1,2)),flip(a)]. 2710 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(136,a,2709,a)]. 2711 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2710(a,1),929(a,1,1))]. 2712 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(65,a,277,a(flip),b,2711,a),flip(a)]. 2713 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2712(a,1),691(a,1,1))]. 2714 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(383,a,2713,a),flip(a)]. 2715 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(290,a,16,a,b,2714,a)]. 2716 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(16(a,2),2715(a,2,1,2)),flip(a)]. 2717 T(1 / x,K(y,x)) = 1 / x. [hyper(255,a,2716,a)]. 2718 K(1 / x,K(y,x)) = 1. [hyper(57,a,2717,a)]. 2719 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2717(a,1),237(a,1,1)),flip(a)]. 2720 K(x,K(y,x \ 1)) = 1. [para(78(a,1),2718(a,1,1))]. 2721 T(x,K(y,x \ 1)) = x. [hyper(58,a,2720,a)]. 2722 T(x \ 1,K(y,x)) = x \ 1. [hyper(290,a,106,a(flip),b,2719,a),flip(a)]. 2723 T(K(x,y),y \ 1) = K(x,y). [hyper(56,a,2722,a)]. 2724 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2722(a,1),2255(a,1,1)),flip(a)]. 2725 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(290,a,406,a,b,2600,a)]. 2726 L(x,(y * y) \ z,u * y) = ((u * (y \ 1)) * z) \ ((u * (y \ 1)) * (z * x)). [para(1009(a,1),1195(a,1,1)),flip(a)]. 2727 L(x,(y * y) \ z,u * y) != w | L(x,z,u * (y \ 1)) = w. [para(2726(a,2),463(a,1))]. 2729 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(10(a,1),1278(a,1,2,1,2,2))]. 2730 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(12(a,1),1636(a,1,2,1,2))]. 2731 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1418(a,1),2147(a,1,1))]. 2732 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1138(a,1),2731(a,1,1))]. 2733 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(2145(a,1),2732(a,1,2))]. 2734 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(65,a,25,a,b,2733,a)]. 2735 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(2142(a,1),2734(a,1,1))]. 2736 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(65,a,1138,a,b,2735,a)]. 2737 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2735(a,1),2054(a,1,2))]. 2738 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(65,a,2148,a(flip),b,2736,a),flip(a)]. 2739 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2403(a,1),2707(a,1,2)),flip(a)]. 2740 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(2730,a,1546,a)]. 2741 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(1855(a,2),2740(a,1,1))]. 2743 x \ T(K(x \ 1,x) * y,x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). [para(1919(a,1),1047(a,1,2,1))]. 2744 x \ T(K(x,x \ 1) * y,x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). [para(2561(a,1),2743(a,1,2,1,1))]. 2745 ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1) = x \ ((x \ 1) \ (y * (1 / x))). [para(2588(a,1),2744(a,1,2)),flip(a)]. 2746 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(248(a,2),1067(a,1,2,1,1))]. 2747 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(22(a,2),1491(a,1,1,2,2,1,2)),flip(a)]. 2748 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2541(a,1),1952(a,1))]. 2749 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(74(a,1),2071(a,1,1)),flip(a)]. 2750 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(104(a,1),2749(a,1,1))]. 2752 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),2750(a,1,1,1)),flip(a)]. 2753 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(78(a,1),2750(a,1,2)),flip(a)]. 2754 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2752(a,2),46(a,1))]. 2755 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(78(a,1),2753(a,1,1,2)),flip(a)]. 2756 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(1045(a,1),2755(a,1,1)),flip(a)]. 2757 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(2074,a,2756,a),flip(a)]. 2758 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(2757(a,1),1475(a,1,1,2,1)),flip(a)]. 2759 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1200(a,1),2084(a,1,2,1)),flip(a)]. 2760 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(120,a,72,a(flip),b,2759,a),flip(a)]. 2761 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2760(a,1),45(a,1))]. 2762 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1248(a,1),2089(a,1,2,1)),flip(a)]. 2763 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(120,a,72,a(flip),b,2762,a),flip(a)]. 2764 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(290,a,249,a(flip),b,2137,a),flip(a)]. 2765 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2135(a,1),2764(a,1,1)),flip(a)]. 2766 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1344(a,2),2765(a,1,1)),flip(a)]. 2767 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1344(a,2),2766(a,1,1,2)),flip(a)]. 2768 (x * (y \ 1)) * ((T(y,y \ 1) \ 1) \ z) = (x * y) * (((y \ 1) \ 1) \ z). [para(78(a,1),2372(a,2,1,2))]. 2769 (x * (y \ 1)) * (T(y \ 1,y) \ z) = (x * y) * (((y \ 1) \ 1) \ z). [para(1812(a,1),2768(a,1,2,1))]. 2770 (x * (y \ 1)) * ((1 / y) \ z) = (x * y) * (((y \ 1) \ 1) \ z). [para(2563(a,1),2769(a,1,2,1))]. 2771 ((x \ 1) * (x \ 1)) * (y / (((x \ 1) * x) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). [para(2770(a,1),1005(a,1,2,2))]. 2772 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),2399(a,2,2,1,2,1))]. 2773 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(136,a,2772,a)]. 2774 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),2773(a,1,1,2,1,2,2)),flip(a)]. 2775 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2722(a,1),2724(a,2,2,1,1))]. 2776 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(290,a,1032,a(flip),b,2775,a),flip(a)]. 2778 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(1032(a,1),2776(a,1,1))]. 2779 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(56,a,2778,a)]. 2780 K(K(x,y),y \ T(y,z)) = 1. [hyper(57,a,2779,a)]. 2781 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(290,a,1500,a(flip),b,2746,a),flip(a)]. 2782 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(1931(a,1),2781(a,1,2,1))]. 2783 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(2297(a,2),2748(a,1))]. 2784 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(1083,a,388,a),flip(a)]. 2785 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1083,a,2700,a(flip))]. 2786 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(65,a,1317,a(flip),b,2784,a)]. 2787 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(759(a,1),2786(a,1,2)),flip(a)]. 2788 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(120,a,2785,a(flip),b,2787,a(flip)),flip(a)]. 2789 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(121,a,2788,a(flip),b,2298,a),flip(a)]. 2790 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(10(a,1),2788(a,1,2,1))]. 2791 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(290,a,1781,a(flip),b,2789,a),flip(a)]. 2792 K(x,y \ (y / x)) = K(x,x \ 1). [para(12(a,1),2791(a,1,2,1))]. 2793 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(65,a,658,a,b,2792,a)]. 2794 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(190,a,2790,a(flip))]. 2795 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(81(a,1),2790(a,1,2))]. 2797 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2790(a,1),268(a,1,2))]. 2798 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2790(a,1),1346(a,1,2)),flip(a)]. 2799 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2790(a,2),2436(a,1,1,2))]. 2800 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(9(a,1),2794(a,1,2,2))]. 2801 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(422,a,2799,a)]. 2802 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(9(a,1),2801(a,1,2))]. 2803 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2801(a,1),1746(a,1,1)),flip(a)]. 2804 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(290,a,2464,a,b,2802,a),flip(a)]. 2805 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(105(a,2),2804(a,2,2,2)),flip(a)]. 2806 T(x / (x * y),y) \ x = x * T(y,y \ 1). [hyper(183,a,2805,a)]. 2807 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1103,a,1351,a),flip(a)]. 2808 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(755(a,1),2807(a,2,2))]. 2809 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(459,a,2808,a)]. 2810 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(290,a,1215,a(flip),b,2809,a)]. 2811 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(1032(a,1),2809(a,1,1))]. 2812 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(11(a,1),2811(a,2,1,2))]. 2813 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2810(a,1),587(a,1))]. 2814 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1391(a,1),1361(a,2,1))]. 2815 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1462(a,1),2814(a,2,1,1))]. 2816 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(290,a,20,a,b,2815,a)]. 2817 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2815(a,2),509(a,1))]. 2818 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(290,a,1215,a(flip),b,2816,a)]. 2819 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1249(a,1),2816(a,2,1,2))]. 2820 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(268,a,2818,a),flip(a)]. 2822 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2573(a,1),2818(a,1,1)),flip(a)]. 2823 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(65,a,1650,a(flip),b,1584,a)]. 2825 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2823(a,1),903(a,1,1)),flip(a)]. 2826 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2825(a,2),884(a,1))]. 2827 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(2514(a,1),1925(a,1,1))]. 2828 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(2514(a,1),2622(a,1,2))]. 2829 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(2681(a,1),2654(a,1,1,2))]. 2830 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2826,a,1630,a)]. 2831 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(65,a,1878,a(flip),b,2827,a)]. 2832 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(868,a,2828,a)]. 2833 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(1876,a,2832,a),flip(a)]. 2834 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1). [para(1528(a,1),2832(a,2,3))]. 2836 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2481(a,2),2833(a,1,3))]. 2837 L(x,y,K(z,z \ 1) * u) = L(x,y,u). [para(1794(a,1),2836(a,1,3,1))]. 2838 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [hyper(290,a,18,a(flip),b,2834,a),flip(a)]. 2839 L(x,y,z \ 1) != u | L(x,y,1 / z) = u. [para(2834(a,1),1875(a,1)),flip(b)]. 2840 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(2838(a,2),463(a,1))]. 2841 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(1866(a,1),2840(a,1))]. 2843 L(x,y,z) != u | L(x,y,z \ 1) = u. [para(1844(a,1),2841(a,1))]. 2845 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(1856(a,2),2841(a,1))]. 2846 x \ ((x \ 1) \ ((((x \ 1) \ 1) * ((x \ 1) \ 1)) * y)) = (x \ 1) \ ((x \ 1) \ y). [para(78(a,1),1013(a,2,2,1))]. 2848 x \ ((x \ 1) \ (((x \ 1) \ (1 / (x \ 1))) * y)) = (x \ 1) \ ((x \ 1) \ y). [para(2315(a,1),2846(a,1,2,2,1))]. 2849 x \ ((x \ 1) \ (((x \ 1) \ x) * y)) = (x \ 1) \ ((x \ 1) \ y). [para(78(a,1),2848(a,1,2,2,1,2))]. 2850 x \ ((x \ 1) \ ((x * x) * y)) = (x \ 1) \ ((x \ 1) \ y). [para(435(a,1),2849(a,1,2,2,1))]. 2851 x \ ((x * x) * ((1 / x) \ y)) = (x \ 1) \ ((x \ 1) \ y). [para(811(a,1),2850(a,1,2))]. 2852 x \ ((x * x) * T(y,(1 / x) \ ((1 / x) \ 1))) = ((x \ 1) \ 1) \ (y / ((1 / x) * (1 / x))). [para(2570(a,1),1038(a,2,1))]. 2853 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(940(a,1),1309(a,1,2)),flip(a)]. 2854 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(248(a,2),1564(a,1,2,1,1))]. 2855 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(248(a,2),1565(a,1,2,1,1))]. 2856 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2810(a,1),2264(a,1,1))]. 2857 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(326(a,1),2856(a,1,1,1))]. 2858 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1318(a,1),2857(a,1,2))]. 2859 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(65,a,25,a,b,2858,a)]. 2860 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1323(a,1),2859(a,2,1))]. 2861 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2476(a,1),2860(a,1,1))]. 2863 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(90(a,1),2296(a,1,1))]. 2864 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(90(a,1),2863(a,1,2,1,1))]. 2865 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1885(a,1),2606(a,1,1))]. 2866 x \ ((x * x) * T(y,(1 / x) \ ((1 / x) \ 1))) = ((x \ 1) \ 1) \ (y / (x \ (1 / x))). [para(413(a,1),2852(a,2,2,2))]. 2867 x \ ((x * x) * T(y,(1 / x) \ ((1 / x) \ 1))) = ((x \ 1) \ 1) \ (y * ((1 / x) \ x)). [para(2385(a,1),2866(a,2,2))]. 2868 ((x \ 1) \ 1) \ (y * ((1 / x) \ x)) = x \ ((x * x) * T(y,(1 / x) \ x)). [para(81(a,1),2867(a,1,2,2,2,2)),flip(a)]. 2869 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(290,a,1653,a(flip),b,2854,a),flip(a)]. 2870 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(290,a,1632,a(flip),b,2855,a),flip(a)]. 2871 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1381(a,1),2869(a,2,1))]. 2872 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1931(a,1),2871(a,1,2,1))]. 2873 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1075(a,1),2870(a,2,1))]. 2874 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1931(a,1),2873(a,1,2,1))]. 2875 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(12(a,1),2874(a,1,2,1,2))]. 2876 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2494(a,1),2875(a,1,2,1))]. 2877 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2513,a,2512,a),flip(a)]. 2878 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2877(a,2),1875(a,1)),flip(b)]. 2879 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2605(a,1),2878(a,1,1,2))]. 2880 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2535,a,2534,a),flip(a)]. 2881 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) != u | T(x,y) = u. [para(2880(a,2),1869(a,1)),flip(b)]. 2882 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(2514(a,1),2621(a,1,2,1))]. 2883 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(1873(a,1),2882(a,1,2))]. 2884 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(869,a,2883,a)]. 2885 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(1876,a,2884,a),flip(a)]. 2887 (x * y) \ (x * (x \ (((1 / (x \ 1)) * z) * u))) = ((x \ 1) * y) \ (((x \ 1) * z) * u). [para(78(a,1),1985(a,1,2,2,1))]. 2888 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (x * y) \ (x * (x \ ((x * z) * u))). [para(78(a,1),2887(a,1,2,2,2,1,1)),flip(a)]. 2889 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (x * y) \ ((x * z) * u). [para(10(a,1),2888(a,2,2))]. 2892 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),2219(a,1,2,1)),flip(a)]. 2894 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(2265(a,1),2249(a,1,2,2)),flip(a)]. 2895 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(120,a,2281,a(flip),b,2894,a(flip)),flip(a)]. 2896 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(65,a,1947,a,b,2895,a)]. 2897 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2026(a,1),2896(a,1,2))]. 2898 ((x \ y) * (z \ (1 / z))) * (z * ((z \ 1) \ (1 / (z \ (1 / z))))) = x \ (y * (1 / (z \ (1 / z)))). [para(777(a,1),2371(a,1,1))]. 2899 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1643(a,1),2812(a,1,1,2)),flip(a)]. 2900 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(68(a,1),2899(a,2,1))]. 2901 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(290,a,338,a(flip),b,2900,a),flip(a)]. 2904 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2901(a,1),278(a,1,2)),flip(a)]. 2905 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(290,a,8,a(flip),b,2904,a),flip(a)]. 2906 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2905(a,1),46(a,1)),flip(a)]. 2907 ((x \ y) * (z \ (1 / z))) * (z * ((z \ 1) \ (1 * ((1 / z) \ z)))) = x \ (y * (1 / (z \ (1 / z)))). [para(2385(a,1),2898(a,1,2,2,2))]. 2908 ((x \ y) * (z \ (1 / z))) * (z * ((z \ 1) \ ((1 / z) \ z))) = x \ (y * (1 / (z \ (1 / z)))). [para(7(a,1),2907(a,1,2,2,2))]. 2909 ((x \ y) * (z \ (1 / z))) * (z * (z * (z * z))) = x \ (y * (1 / (z \ (1 / z)))). [para(1214(a,1),2908(a,1,2,2))]. 2910 (x \ y) * ((z \ (1 / z)) * (z * (z * (z * z)))) = x \ (y * (1 / (z \ (1 / z)))). [hyper(65,a,1486,a(flip),b,2909,a)]. 2911 (x \ y) * ((z \ (1 / (1 / z))) * (z * z)) = x \ (y * (1 / (z \ (1 / z)))). [para(1104(a,1),2910(a,1,2))]. 2912 (x \ y) * ((z \ ((z \ 1) \ 1)) * (z * z)) = x \ (y * (1 / (z \ (1 / z)))). [para(2570(a,1),2911(a,1,2,1,2))]. 2913 (x \ y) * (K(z,z \ 1) * (z * z)) = x \ (y * (1 / (z \ (1 / z)))). [para(1906(a,1),2912(a,1,2,1))]. 2914 a(x,y * z,(z \ 1) * (z \ u)) = (x * ((y * (1 / z)) * u)) \ ((x * (y * (1 / z))) * u). [para(2378(a,1),2335(a,1,2)),flip(a)]. 2915 a(x,y * z,(z \ 1) * (z \ u)) = a(x,y * (1 / z),u). [hyper(290,a,14,a,b,2914,a),flip(a)]. 2916 a(x,y * z,z * (z \ u)) = a(x,y * (1 / z),u). [hyper(65,a,2363,a(flip),b,2915,a)]. 2917 a(x,y * (1 / z),u) = a(x,y * z,u). [para(10(a,1),2916(a,1,3)),flip(a)]. 2918 ((x * y) * ((y \ 1) * (y \ (z * u)))) \ (((x * (1 / y)) * z) * u) = a(x * y,(y \ 1) * (y \ z),u). [para(2358(a,1),2336(a,1,1,2))]. 2919 a(x * y,(y \ 1) * (y \ z),u) = ((x * (1 / y)) * (z * u)) \ (((x * (1 / y)) * z) * u). [para(2332(a,1),2918(a,1,1)),flip(a)]. 2920 a(x * y,(y \ 1) * (y \ z),u) = a(x * (1 / y),z,u). [hyper(290,a,14,a,b,2919,a),flip(a)]. 2921 a(x * y,y * (y \ z),u) = a(x * (1 / y),z,u). [hyper(65,a,2210,a(flip),b,2920,a)]. 2922 a(x * (1 / y),z,u) = a(x * y,z,u). [para(10(a,1),2921(a,1,2)),flip(a)]. 2923 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(889(a,1),2128(a,2,1))]. 2924 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(290,a,2853,a(flip),b,2923,a),flip(a)]. 2925 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1548(a,1),2129(a,2,2,1))]. 2926 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(11(a,1),2925(a,2,2))]. 2927 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(65,a,2924,a(flip),b,2926,a)]. 2929 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(141,a,2927,a)]. 2930 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2573(a,1),2822(a,2,2,1,1))]. 2932 (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)) = a(x,y * (z / u),w). [hyper(290,a,2191,a(flip),b,1189,a),flip(a)]. 2934 (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / (1 / u)))) * w) = a(x,y * (z / u),w). [para(1335(a,1),2932(a,1,2))]. 2935 a(x,y * (z / (1 / u)),w) = a(x,y * (z / u),w). [hyper(733,a,2934,a)]. 2936 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(290,a,457,a(flip),b,1661,a),flip(a)]. 2937 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(227(a,1),2936(a,2,2))]. 2938 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(11(a,1),1492(a,1,1))]. 2939 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(11(a,1),2938(a,1,2,1,1)),flip(a)]. 2940 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(9(a,1),2939(a,2,2,1))]. 2941 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [para(79(a,1),2940(a,1,1)),flip(a)]. 2942 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(229,a,2941,a,b,10,a),flip(a)]. 2944 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(2942(a,1),1219(a,1,1,1))]. 2945 (K(x,x \ 1) * (y * z)) \ (K(x,x \ 1) * (y * (z * u))) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(1868(a,1),1872(a,1,2))]. 2946 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1648(a,1),2245(a,2,1))]. 2947 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(290,a,1248,a(flip),b,2946,a),flip(a)]. 2949 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1248(a,1),2947(a,1,1))]. 2950 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(56,a,2949,a)]. 2951 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2657(a,1),2741(a,1,1))]. 2952 L(L(x,y,z),z * y,K(u,u \ 1)) = L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z). [hyper(868,a,2945,a)]. 2953 L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z) != w | L(x,y,z) = w. [para(2952(a,1),1869(a,1)),flip(b)]. 2954 (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(94(a,1),1339(a,1,2,1,1))]. 2955 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1306,a,2954,a),flip(a)]. 2956 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(1063(a,1),2955(a,2,2))]. 2957 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(459,a,2956,a),flip(a)]. 2958 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(65,a,1204,a(flip),b,2957,a),flip(a)]. 2959 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1651(a,1),2958(a,1,1,2)),flip(a)]. 2960 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(2813,a,2959,a(flip)),flip(a)]. 2961 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(37,a,248,a(flip),b,2960,a),flip(a)]. 2962 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(81(a,1),2961(a,1,1))]. 2963 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1076(a,1),2962(a,1,2))]. 2964 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(139,a,2963,a)]. 2965 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2906,a,2964,a)]. 2966 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1598(a,1),2965(a,1,1)),flip(a)]. 2967 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(290,a,2393,a(flip),b,2396,a),flip(a)]. 2968 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2609(a,1),2725(a,1,1))]. 2969 (x \ (1 / x)) * (y / (((x \ 1) * x) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). [para(2315(a,1),2771(a,1,1))]. 2970 (x \ (1 / x)) * (y / (K(x,x \ 1) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). [para(2560(a,2),2969(a,1,2,2,1))]. 2971 T(x / ((1 / y) \ z),(y \ 1) \ ((y \ 1) \ 1)) = (y \ (1 / y)) * (x / (y \ z)). [para(1914(a,1),2970(a,1,2,2)),flip(a)]. 2972 T(x / ((1 / y) \ z),(y \ 1) \ ((y \ 1) \ 1)) = (y \ 1) * (y \ (x / (y \ z))). [hyper(290,a,2320,a(flip),b,2971,a),flip(a)]. 2973 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1812(a,1),2819(a,1,1,2,1))]. 2974 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1685(a,1),2973(a,1,1,2)),flip(a)]. 2976 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2645(a,1),2974(a,2,1))]. 2977 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(213(a,1),2976(a,2,1))]. 2978 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(290,a,343,a(flip),b,2977,a),flip(a)]. 2981 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2978(a,1),278(a,1,2)),flip(a)]. 2982 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(121,a,8,a(flip),b,2981,a)]. 2983 (((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),1605(a,2,2,1,1))]. 2984 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1621(a,1),2983(a,1,1))]. 2985 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1657(a,1),2984(a,1,1,1))]. 2986 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(509,a,2985,a),flip(a)]. 2988 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(65,a,1251,a(flip),b,2986,a),flip(a)]. 2989 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(646(a,1),2986(a,2,1,2))]. 2990 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1264,a,2989,a),flip(a)]. 2991 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(7(a,1),2990(a,1,1,2,1)),flip(a)]. 2992 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1686(a,1),2988(a,1,1,2)),flip(a)]. 2993 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(37,a,2820,a(flip),b,2992,a),flip(a)]. 2994 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(65,a,2982,a(flip),b,2993,a)]. 2995 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(120,a,2994,a(flip),b,2763,a)]. 2996 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(94(a,1),1608(a,1,2,1,2,1))]. 2997 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1278,a,2996,a),flip(a)]. 2998 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1275(a,1),2997(a,2,2))]. 2999 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(459,a,2998,a),flip(a)]. 3000 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(10(a,1),2999(a,1,2,1)),flip(a)]. 3001 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(290,a,1793,a,b,3000,a),flip(a)]. 3002 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1630(a,1),3001(a,1,1))]. 3003 (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),1623(a,2,2,1,1))]. 3004 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1066(a,1),3003(a,1,2))]. 3005 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(9(a,1),3004(a,1,2,2,2,1,2))]. 3006 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(939(a,1),3005(a,1,2,2))]. 3007 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(463,a,3006,a),flip(a)]. 3009 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(767(a,1),3007(a,2,1,2))]. 3010 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1583(a,1),3007(a,1,2))]. 3011 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1325(a,1),3009(a,1,2))]. 3012 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(191(a,1),3011(a,2,1,2))]. 3013 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1793(a,2),3012(a,2,1))]. 3014 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(8(a,1),3010(a,1,2,2)),flip(a)]. 3015 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2830(a,1),3014(a,1,1)),flip(a)]. 3016 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(290,a,3002,a(flip),b,3015,a),flip(a)]. 3017 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(36,a,1793,a(flip),b,3016,a),flip(a)]. 3018 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(65,a,2966,a,b,3017,a)]. 3019 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(190,a,3018,a),flip(a)]. 3020 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(78(a,1),3019(a,1,1,2)),flip(a)]. 3021 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(3019(a,1),238(a,1,1))]. 3022 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3020(a,1),188(a,1,1,1))]. 3023 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(208(a,1),3020(a,1,2,2)),flip(a)]. 3024 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(353(a,1),3020(a,1,2,2)),flip(a)]. 3025 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(355(a,1),3020(a,1,2,2)),flip(a)]. 3026 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3020(a,1),3019(a,1,1)),flip(a)]. 3027 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(78(a,1),3023(a,1,1))]. 3028 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(78(a,1),3022(a,1,1,1,1)),flip(a)]. 3029 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(480(a,1),3028(a,2,1,1))]. 3030 L(1 / (x \ y),x \ y,x) = ((y \ x) \ 1) \ 1. [hyper(290,a,2570,a(flip),b,3024,a),flip(a)]. 3031 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(65,a,2929,a,b,3024,a)]. 3032 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(65,a,1811,a,b,3025,a)]. 3033 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(36,a,2014,a,b,3031,a)]. 3034 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(120,a,3033,a(flip),b,248,a(flip))]. 3035 L(x,y,K(z \ u,u \ z)) = x. [para(3033(a,1),1866(a,1,3))]. 3036 T(x,K(y \ z,z \ y)) = x. [para(3033(a,1),2480(a,1,2))]. 3037 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(3033(a,1),2506(a,1,2))]. 3038 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(3033(a,1),2798(a,1,2))]. 3039 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2754,a,3036,a),flip(a)]. 3040 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [hyper(1274,a,3035,a),flip(a)]. 3041 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(81(a,1),3021(a,2,1))]. 3042 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(3041(a,1),23(a,1,1)),flip(a)]. 3043 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [para(2286(a,1),3032(a,1,2)),flip(a)]. 3044 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(183,a,3043,a)]. 3045 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(141,a,3043,a(flip))]. 3046 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(78(a,1),3043(a,2,2,2,2))]. 3048 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(184(a,1),3044(a,1,1,2,2)),flip(a)]. 3049 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(121,a,3045,a(flip),b,2439,a)]. 3050 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(78(a,1),3045(a,1,2,2,2,2)),flip(a)]. 3051 ((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)). [para(3046(a,1),188(a,1,1,1))]. 3052 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(3048(a,1),187(a,1,2,1))]. 3053 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(78(a,1),3049(a,1,1,2,2)),flip(a)]. 3054 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(9(a,1),3050(a,2,2,2,2))]. 3055 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [hyper(65,a,2795,a,b,3051,a)]. 3056 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(78(a,1),3052(a,1,2,1,1,2)),flip(a)]. 3057 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2795(a,2),3052(a,1,2))]. 3058 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2619,a,3057,a)]. 3059 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2612,a,3057,a)]. 3060 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(125,a,3057,a),flip(a)]. 3061 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(11(a,1),3058(a,1,1)),flip(a)]. 3062 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(3058(a,1),1526(a,1,1))]. 3063 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(3060(a,1),104(a,1,2))]. 3064 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2425(a,2),3061(a,1,2))]. 3065 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(11(a,1),3062(a,1,1)),flip(a)]. 3066 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(649(a,1),3062(a,1,1)),flip(a)]. 3067 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1050(a,1),3062(a,1,1)),flip(a)]. 3068 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2516,a,3065,a)]. 3069 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(37,a,2549,a(flip),b,3065,a),flip(a)]. 3070 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(3065(a,1),2602(a,1,1)),flip(a)]. 3071 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2516,a,3066,a)]. 3072 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2483,a,3066,a)]. 3073 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(596,a,3066,a)]. 3074 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(3066(a,1),46(a,1)),flip(a)]. 3075 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [hyper(1976,a,3068,a),flip(a)]. 3076 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(3071(a,1),1973(a,1,2))]. 3077 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3071(a,1),2872(a,1,2,1))]. 3078 x \ (y * (1 / (z \ (1 / z)))) = (x \ y) * (z * T(z,z \ 1)). [para(3071(a,1),2913(a,1,2)),flip(a)]. 3079 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(1939(a,1),3075(a,1,1))]. 3080 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2015(a,1),3075(a,1,1)),flip(a)]. 3082 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [hyper(183,a,3053,a),flip(a)]. 3083 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(3027(a,2),3054(a,1,2))]. 3084 x / L(y,y \ 1,x) = x * (1 / y). [para(78(a,1),3083(a,2,2,2))]. 3085 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(3084(a,2),657(a,1,1,2))]. 3086 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(65,a,2809,a,b,3085,a)]. 3087 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(81(a,1),3086(a,1,2))]. 3088 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1820(a,1),3070(a,1,1))]. 3089 ((((x \ 1) \ 1) \ 1) * (((x \ 1) \ 1) \ T(y,((x \ 1) \ 1) \ 1))) * ((x \ 1) \ 1) = (x \ (y * (1 / ((x \ 1) \ 1)))) * x. [para(2647(a,2),3079(a,1,1))]. 3090 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(1706(a,1),3087(a,1,1))]. 3091 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(65,a,892,a(flip),b,3090,a),flip(a)]. 3092 T(K(1 / (1 / x),y),x) = K(x,y). [para(3091(a,2),214(a,1,1))]. 3093 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(254(a,1),3092(a,1,1,1,2))]. 3094 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(78(a,1),3093(a,1,1,1))]. 3095 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(65,a,2640,a(flip),b,3094,a),flip(a)]. 3096 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(105(a,1),3095(a,1,1)),flip(a)]. 3097 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2793(a,1),3037(a,1,2))]. 3098 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(3039(a,1),3040(a,1,1))]. 3099 x \ (y * (1 / (z \ (1 / z)))) = (x \ y) * ((1 / z) \ z). [para(2383(a,1),3078(a,2,2))]. 3100 x \ (y * (1 * ((1 / z) \ z))) = (x \ y) * ((1 / z) \ z). [para(2385(a,1),3099(a,1,2,2))]. 3101 x \ (y * ((1 / z) \ z)) = (x \ y) * ((1 / z) \ z). [para(7(a,1),3100(a,1,2,2))]. 3102 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3098(a,2),200(a,1))]. 3103 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2790(a,2),3029(a,1,1))]. 3104 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1796(a,1),3097(a,1,2))]. 3105 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(65,a,769,a(flip),b,3103,a)]. 3106 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(14(a,2),3105(a,1,1))]. 3107 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(65,a,2041,a,b,3077,a)]. 3108 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(1695,a,3088,a)]. 3109 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(3072(a,1),3107(a,1,1)),flip(a)]. 3110 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),3109(a,1,1,2,1)),flip(a)]. 3111 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(121,a,3110,a,b,xx)]. 3112 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(524(a,1),3110(a,2,1,2))]. 3113 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(1739(a,1),3110(a,2,1,2))]. 3114 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(82(a,1),3111(a,1,1,1)),flip(a)]. 3115 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(141,a,3114,a),flip(a)]. 3116 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3115(a,2),2967(a,1,1))]. 3117 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(121,a,3112,a(flip),b,251,a)]. 3118 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(121,a,3113,a(flip),b,1737,a),flip(a)]. 3119 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3113(a,1),2968(a,1,1)),flip(a)]. 3120 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(65,a,1708,a(flip),b,3118,a)]. 3121 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(3046(a,1),3104(a,2,1))]. 3122 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3121(a,1),2659(a,1,1))]. 3123 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(7(a,1),3119(a,2,1,1,2))]. 3124 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(81(a,1),3123(a,2,2))]. 3125 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(1032(a,1),3122(a,2,1,2))]. 3126 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(65,a,3113,a(flip),b,3125,a)]. 3127 (x * (y \ T(y,x))) * y = y * x. [para(9(a,1),3126(a,1,1)),flip(a)]. 3128 x * (y \ T(y,x)) = (y * x) / y. [hyper(136,a,3127,a),flip(a)]. 3129 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(121,a,10,a(flip),b,3127,a),flip(a)]. 3130 x \ ((y * x) / y) = y \ T(y,x). [hyper(125,a,3128,a)]. 3131 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(120,a,215,a(flip),b,3128,a)]. 3132 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(120,a,154,a(flip),b,3128,a),flip(a)]. 3133 x * (y \ T(y,z)) != (y * z) / y | z = x. [para(3128(a,1),46(a,1)),flip(a)]. 3134 x \ ((y * x) / y) != z | y \ T(y,x) = z. [para(3128(a,1),307(a,1,2))]. 3135 ((x * y) / x) * (y \ 1) = x \ T(x,y). [hyper(65,a,1372,a,b,3130,a)]. 3136 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3130(a,1),1596(a,1,1)),flip(a)]. 3137 K(K(x,y),T(z,y) \ z) = 1. [para(3131(a,2),2780(a,1,2))]. 3138 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1218(a,1),3137(a,1,1))]. 3139 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3138(a,1),3034(a,1,2))]. 3140 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(105(a,1),3129(a,1,2,2))]. 3142 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(125,a,3140,a)]. 3144 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(1372(a,2),3134(a,1))]. 3145 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(2687,a,3136,a)]. 3146 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(106(a,1),3132(a,1,2))]. 3147 x * ((y / x) \ (x \ y)) = y / (y / x). [hyper(141,a,3146,a(flip))]. 3148 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1627,a,3145,a)]. 3149 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(65,a,1208,a,b,3145,a)]. 3150 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(65,a,2999,a(flip),b,3145,a)]. 3151 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(65,a,2077,a(flip),b,3145,a)]. 3152 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1609,a,3145,a(flip))]. 3153 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3145(a,1),1627(a,1))]. 3154 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3145(a,1),2407(a,1,1))]. 3155 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3145(a,1),2708(a,2,2,1))]. 3156 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3145(a,1),2409(a,2,2,1))]. 3158 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2397,a,3152,a)]. 3159 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(65,a,1631,a(flip),b,3152,a),flip(a)]. 3160 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(121,a,3152,a(flip),b,2392,a)]. 3161 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3152(a,1),2394(a,2,2))]. 3162 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(105(a,2),3159(a,1,2,1))]. 3163 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(78(a,1),3160(a,2,2,1))]. 3164 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(81(a,1),3160(a,1,1,2))]. 3165 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3160(a,2),208(a,2,1))]. 3166 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3161(a,1),3067(a,2,1,2))]. 3167 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(120,a,3164,a,b,xx)]. 3169 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(290,a,3148,a(flip),b,3154,a),flip(a)]. 3170 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3162(a,2),45(a,1))]. 3172 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3145(a,1),3150(a,1,1))]. 3173 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3148(a,1),3155(a,1,1))]. 3174 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3069(a,1),3166(a,1,1,1))]. 3175 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2529(a,1),3174(a,1,1,1))]. 3176 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(106(a,1),3175(a,1,1))]. 3177 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(18(a,2),3106(a,1,2,2))]. 3178 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(14(a,2),3177(a,2,1,1))]. 3179 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3116(a,1),267(a,1))]. 3180 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3179,a,3156,a)]. 3181 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3158(a,1),3180(a,1,1)),flip(a)]. 3182 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2636(a,1),3181(a,1,2,1,2)),flip(a)]. 3183 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2636(a,1),3182(a,1,1)),flip(a)]. 3184 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),3183(a,1,2,2)),flip(a)]. 3185 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),3184(a,1,2)),flip(a)]. 3186 L(x,y \ T(y,z),y) = x. [hyper(765,a,3185,a)]. 3188 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(375,a,3185,a),flip(a)]. 3189 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(136,a,3185,a)]. 3190 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(36,a,1111,a,b,3185,a),flip(a)]. 3191 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(36,a,1108,a(flip),b,3185,a),flip(a)]. 3192 (x \ T(x,y)) * x = T(x,y). [hyper(36,a,233,a(flip),b,3185,a),flip(a)]. 3195 T(x,x \ T(x,y)) = x. [hyper(321,a,3192,a)]. 3196 T(x,y) / x = x \ T(x,y). [hyper(136,a,3192,a)]. 3197 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(65,a,1610,a,b,3192,a)]. 3198 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3192(a,1),20(a,2,1,1))]. 3201 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3192(a,1),102(a,1,1,1)),flip(a)]. 3203 K(x,x \ T(x,y)) = 1. [hyper(57,a,3195,a)]. 3204 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(65,a,1706,a,b,3196,a)]. 3205 (1 / x) * T(x,y) = x \ T(x,y). [hyper(65,a,1400,a,b,3196,a)]. 3206 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(65,a,1052,a(flip),b,3196,a),flip(a)]. 3207 K(x,T(x,y) / x) = 1. [para(3196(a,2),3203(a,1,2))]. 3208 T(1 / x,T(x,y)) = x \ 1. [hyper(120,a,3207,a(flip),b,1438,a),flip(a)]. 3211 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3208(a,1),237(a,1,1)),flip(a)]. 3212 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3208(a,1),363(a,2,1))]. 3213 (T(x,y) \ x) \ 1 = x \ T(x,y). [hyper(41,a,3139,a,b,3188,a)]. 3216 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3211(a,1),2256(a,1,1,2)),flip(a)]. 3217 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(3213(a,1),251(a,1,2)),flip(a)]. 3219 R(x,x \ T(x,y),z) = x. [hyper(776,a,3189,a)]. 3220 R(x,T(y,x) \ y,z) = x. [para(3131(a,2),3219(a,1,2))]. 3221 R((x * y) / x,T(z,y) \ z,u) = (x * y) / x. [para(3220(a,1),879(a,2,1,2))]. 3222 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(65,a,3173,a(flip),b,3190,a),flip(a)]. 3223 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(136,a,3191,a)]. 3225 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(120,a,10,a(flip),b,3191,a)]. 3226 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3191(a,1),307(a,1,2))]. 3227 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(3191(a,1),308(a,1))]. 3229 (x \ T(x,y)) \ y = T(y,T(x,y)). [hyper(290,a,1127,a(flip),b,3225,a),flip(a)]. 3230 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(65,a,2644,a(flip),b,3197,a)]. 3231 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3212(a,1),3169(a,2,2,2,1))]. 3232 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(290,a,3152,a(flip),b,3230,a),flip(a)]. 3233 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(65,a,2739,a(flip),b,3232,a)]. 3234 T(x,x / (y * x)) = T(x,y \ 1). [hyper(65,a,2643,a(flip),b,3232,a)]. 3235 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1184,a,3234,a)]. 3236 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(120,a,3234,a(flip),b,1183,a)]. 3237 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(120,a,3236,a,b,xx)]. 3238 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(81(a,1),3236(a,2,2,1))]. 3239 R(1 / x,x,y) \ T(y,R(1 / x,x,y) \ 1) = y * ((x * y) / y). [para(360(a,1),3236(a,2,2,1))]. 3240 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(361(a,2),3236(a,2,2)),flip(a)]. 3242 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3237(a,1),3176(a,2,1))]. 3243 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(65,a,2930,a,b,3204,a)]. 3244 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3204(a,1),2270(a,2,1))]. 3245 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3206(a,1),773(a,2,1)),flip(a)]. 3246 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3206(a,1),3128(a,1,2)),flip(a)]. 3247 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3206(a,1),3188(a,1,1))]. 3248 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3206(a,1),3229(a,1,1))]. 3249 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(65,a,1046,a(flip),b,3238,a)]. 3250 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(290,a,3223,a(flip),b,3198,a),flip(a)]. 3251 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3131(a,2),3198(a,1,1))]. 3253 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(10(a,1),3226(a,1,2))]. 3254 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(81(a,1),3240(a,2,2,2))]. 3255 K(1 / x,y) = K(x \ 1,y). [hyper(65,a,3086,a(flip),b,3245,a)]. 3256 K(1 / (1 / x),y) = K(x,y). [hyper(290,a,658,a(flip),b,3255,a),flip(a)]. 3257 K((x \ 1) \ 1,y) = K(x,y). [para(78(a,1),3255(a,1,1)),flip(a)]. 3258 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2429(a,1),3255(a,1,1))]. 3259 T(K(x,y),x) = K(x,y). [para(3256(a,1),3092(a,1,1))]. 3260 K(T(x,x \ 1),y) = K(x,y). [hyper(65,a,3095,a,b,3259,a)]. 3261 T(x,K(x,y)) = x. [hyper(56,a,3259,a)]. 3262 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3259(a,1),227(a,1,2,1)),flip(a)]. 3263 T(T(x,y),K(x,z)) = T(x,y). [para(3261(a,1),23(a,1,1)),flip(a)]. 3264 K(x,y) * x != z | x * K(x,y) = z. [para(3261(a,1),268(a,1,2))]. 3265 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3261(a,1),225(a,1,2,1)),flip(a)]. 3266 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3261(a,1),226(a,1,2,1)),flip(a)]. 3267 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3261(a,1),227(a,1,2,1)),flip(a)]. 3268 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3261(a,1),379(a,1,2,1))]. 3270 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2453(a,1),3257(a,1,1)),flip(a)]. 3272 K(T(x,y),K(x,z)) = 1. [hyper(57,a,3263,a)]. 3273 T(K(x,y),T(x,z)) = K(x,y). [hyper(56,a,3263,a)]. 3275 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3273(a,1),268(a,1,2))]. 3276 T(x,y) * z != K(x,u) * T(x,y) | K(x,u) = z. [para(3265(a,1),45(a,1)),flip(a)]. 3277 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3265(a,2),45(a,1))]. 3278 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(854,a,3262,a),flip(a)]. 3279 T(x,R(K(x,y),z,u)) = x. [hyper(230,a,3262,a)]. 3280 K(x,R(K(x,y),z,u)) = 1. [hyper(57,a,3279,a)]. 3281 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3279(a,1),226(a,1,2,1))]. 3282 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(230,a,3267,a)]. 3285 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(36,a,1044,a,b,3233,a)]. 3286 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1502(a,1),3246(a,2,2))]. 3287 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [hyper(120,a,3249,a(flip),b,278,a),flip(a)]. 3289 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(65,a,3079,a(flip),b,3285,a),flip(a)]. 3290 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(205(a,2),3289(a,1,2))]. 3291 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(121,a,3290,a(flip),b,878,a),flip(a)]. 3292 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3251(a,1),949(a,1,1))]. 3293 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(37,a,2549,a(flip),b,3242,a)]. 3294 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(290,a,283,a,b,3293,a),flip(a)]. 3295 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3293(a,1),2601(a,1,1))]. 3297 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3294(a,1),2536(a,1,1)),flip(a)]. 3298 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3297(a,1),1973(a,1,2))]. 3299 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3190(a,1),3222(a,2,2))]. 3300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(105(a,1),3298(a,1,2,1,2))]. 3301 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3300(a,1),247(a,1,2)),flip(a)]. 3302 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3201(a,2,1))]. 3304 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3204(a,1),3243(a,1,1))]. 3305 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(1734(a,1),3254(a,1,2))]. 3306 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(65,a,3250,a(flip),b,3302,a),flip(a)]. 3307 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1228,a,3306,a),flip(a)]. 3309 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(65,a,3132,a(flip),b,3307,a)]. 3310 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3307(a,1),3229(a,1,1)),flip(a)]. 3311 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(290,a,3248,a(flip),b,3310,a),flip(a)]. 3312 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(2942(a,1),3216(a,1,1))]. 3313 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(104(a,1),3312(a,2,1))]. 3314 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(290,a,2482,a(flip),b,3313,a),flip(a)]. 3316 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [para(106(a,1),3314(a,1,1))]. 3317 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3314(a,1),2944(a,1,1)),flip(a)]. 3318 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(121,a,3316,a(flip),b,248,a(flip))]. 3320 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3316(a,1),2433(a,1,2))]. 3321 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3316(a,1),2548(a,1,1))]. 3322 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3316(a,1),2865(a,1,1))]. 3323 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3316(a,1),3064(a,2,2))]. 3325 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(3320(a,1),2029(a,1,1)),flip(a)]. 3328 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(290,a,3318,a(flip),b,3317,a),flip(a)]. 3330 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3328(a,1),3314(a,1,1))]. 3331 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(103(a,1),3330(a,1,1,1))]. 3335 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3331(a,1),1073(a,1,1,2))]. 3336 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2428(a,1),3321(a,2,2))]. 3337 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(105(a,1),3323(a,1,2,1))]. 3340 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(120,a,10,a(flip),b,3325,a),flip(a)]. 3341 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(105(a,1),3336(a,1,2,2))]. 3342 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(139,a,3337,a)]. 3343 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2546,a,3340,a)]. 3344 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3340(a,1),1943(a,1,2))]. 3345 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(2652,a,3342,a)]. 3346 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1796(a,1),3343(a,1,2))]. 3347 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3286(a,2),45(a,1))]. 3348 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(3144,a,3291,a)]. 3349 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(65,a,2068,a(flip),b,3348,a)]. 3350 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(9(a,1),3349(a,1,1,1)),flip(a)]. 3351 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(9(a,1),3350(a,1,1,1)),flip(a)]. 3352 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(81(a,1),3322(a,2,2))]. 3356 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3352(a,1),1943(a,1,2))]. 3357 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(78(a,1),3346(a,2,1,1,2))]. 3358 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2516,a,3357,a)]. 3359 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(9(a,1),3358(a,1,2)),flip(a)]. 3360 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(141,a,3359,a)]. 3361 T(x \ 1,y) * K(x,x \ 1) = T(1 / x,y). [hyper(1495,a,3360,a)]. 3362 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(1966(a,1),3360(a,1,2)),flip(a)]. 3363 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1971(a,2),3360(a,1,2))]. 3364 T(1 / x,y) * K(x \ 1,x) = T(x \ 1,y). [hyper(2550,a,3361,a)]. 3365 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2497,a,3361,a)]. 3366 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3361(a,1),2537(a,1,2)),flip(a)]. 3367 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3361(a,1),2538(a,1,2)),flip(a)]. 3368 T(1 / x,y) * K(x,x \ 1) = T(x \ 1,y). [para(2561(a,1),3364(a,1,2))]. 3369 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [para(3364(a,1),2514(a,1,1)),flip(a)]. 3370 a(T(1 / x,y),z,u) = a(T(x \ 1,y),z,u). [para(3364(a,1),2885(a,1,1)),flip(a)]. 3371 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3366(a,1),651(a,1,1))]. 3372 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3369(a,1),1943(a,1,2))]. 3373 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3369(a,1),1972(a,1,2))]. 3374 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3362(a,1),1111(a,1,2))]. 3375 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(121,a,3374,a(flip),b,3373,a(flip))]. 3376 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(104(a,2),3278(a,2,1,1,1))]. 3377 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(16(a,2),3292(a,2,1))]. 3378 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3223(a,1),3377(a,1,1)),flip(a)]. 3379 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(522,a,3378,a)]. 3380 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3378(a,1),516(a,1)),flip(b)]. 3382 R(K(x,y),x,z) = K(x,y). [hyper(290,a,3378,a,b,3379,a)]. 3383 K(x,y) * (1 / x) = K(x,y) / x. [hyper(121,a,3382,a(flip),b,1732,a),flip(a)]. 3384 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3382(a,1),100(a,1,1)),flip(a)]. 3385 L(x,y,K(y,z)) = x. [hyper(459,a,3384,a)]. 3387 L(x,y,K(y,z)) != u | u = x. [para(3385(a,1),52(a,1)),flip(a)]. 3388 L(x,y,K(y,z)) != u | x = u. [para(3385(a,1),52(a,2))]. 3389 R(K(x,y),x,z) != u | K(x,y) = u. [para(3378(a,2),3380(a,1))]. 3390 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [hyper(65,a,3221,a(flip),b,3217,a),flip(a)]. 3391 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(3133,a,3390,a),flip(a)]. 3392 ((x * y) / x) \ y = T(x,y) \ x. [hyper(125,a,3391,a)]. 3393 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(10(a,1),3392(a,1,1,1)),flip(a)]. 3394 T(x,T(y,x)) \ x = y \ T(y,x). [para(215(a,1),3392(a,1,1)),flip(a)]. 3395 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3392(a,1),1374(a,1,2,2,1))]. 3397 L(x,T(y,T(z,y)) \ y,z) = x. [para(3394(a,2),3186(a,1,2))]. 3398 L(x,T(y,z) \ y,(y * z) / y) = x. [para(214(a,1),3397(a,1,2,1,2))]. 3399 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(290,a,3146,a(flip),b,3393,a),flip(a)]. 3400 x / (x / y) = y * (T(y,y \ x) \ y). [para(3393(a,2),3147(a,1,2)),flip(a)]. 3402 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(9(a,1),3400(a,2,2,1,2))]. 3403 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(65,a,1164,a(flip),b,3402,a)]. 3404 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3403(a,1),1347(a,2,2,1,2))]. 3405 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(1992(a,1),3363(a,1,2))]. 3406 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(105(a,2),3405(a,1,2,1))]. 3407 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(65,a,1490,a(flip),b,3404,a),flip(a)]. 3408 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(104(a,1),3407(a,2,1,2))]. 3409 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3392(a,1),3395(a,2,2))]. 3410 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(120,a,3398,a(flip),b,3409,a),flip(a)]. 3411 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(141,a,3410,a)]. 3412 (T(x,y) \ x) * T(x,y) = x. [hyper(40,a,1146,a(flip),b,3410,a),flip(a)]. 3414 x / T(x,y) = T(x,y) \ x. [hyper(136,a,3412,a)]. 3415 (T(x,y) \ x) \ x = T(x,y). [hyper(125,a,3412,a)]. 3416 L(x,T(x,y) \ x,x) = x. [hyper(65,a,2738,a,b,3412,a)]. 3419 (x * y) * T(K(y,x),x) = y * x. [para(3416(a,1),2737(a,1,2)),flip(a)]. 3420 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(65,a,2059,a,b,3414,a)]. 3421 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(65,a,1394,a,b,3414,a)]. 3422 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(121,a,3414,a(flip),b,1394,a)]. 3426 T(K(x,y),y) = K(x,y). [hyper(281,a,3419,a),flip(a)]. 3427 (x * K(y,x)) / x = K(y,x). [hyper(259,a,3426,a)]. 3428 T(x,K(y,x)) = x. [hyper(56,a,3426,a)]. 3429 K(x,y) * y = y * K(x,y). [para(3426(a,1),104(a,1,2)),flip(a)]. 3431 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3426(a,1),226(a,1,2,1)),flip(a)]. 3432 T(x,K(y,R(x,z,u))) = x. [hyper(149,a,3428,a)]. 3433 T(x,K(y,T(x,z))) = x. [hyper(145,a,3428,a)]. 3434 K(x,K(y,x)) = 1. [hyper(57,a,3428,a)]. 3435 T(T(x,y),K(z,x)) = T(x,y). [para(3428(a,1),23(a,1,1)),flip(a)]. 3436 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3428(a,1),225(a,1,2,1)),flip(a)]. 3437 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3428(a,1),226(a,1,2,1)),flip(a)]. 3438 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3428(a,1),227(a,1,2,1)),flip(a)]. 3439 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3428(a,1),378(a,1,2,1))]. 3441 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3428(a,1),416(a,1,2,1,1)),flip(a)]. 3442 T(x,x \ ((y * x) / y)) = x. [para(1423(a,1),3428(a,1,2))]. 3443 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(3433(a,1),104(a,1,2))]. 3444 T(x / y,K(z,y \ x)) = x / y. [para(106(a,1),3433(a,1,2,2))]. 3445 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3432(a,1),23(a,1,1)),flip(a)]. 3446 L(K(x,y),y,1 / y) = K(x,y). [hyper(65,a,2767,a,b,3427,a)]. 3447 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(65,a,1296,a,b,3427,a)]. 3448 T(K(x,y),y) != z | K(x,y) = z. [para(3427(a,1),314(a,1,1)),flip(b)]. 3449 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3427(a,1),611(a,1,1,1))]. 3450 R(x / (y / K(z,x)),y / K(z,x),K(z,x)) = (K(z,x) * x) / y. [para(3429(a,2),527(a,2,1))]. 3451 T(K(x,y),T(y,z)) = K(x,y). [hyper(56,a,3435,a)]. 3452 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3435(a,1),378(a,1,2,1))]. 3453 ((x * y) / x) / y = y \ ((x * y) / x). [para(3442(a,1),254(a,1,2))]. 3454 K(K(x,y),T(y,z)) = 1. [hyper(57,a,3451,a)]. 3456 K(x \ T(x,y),T(y,z)) = 1. [para(1218(a,1),3454(a,1,1))]. 3457 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(58,a,3456,a)]. 3458 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(859,a,3446,a)]. 3459 (1 / x) \ K(y,x) = x * K(y,x). [hyper(120,a,3446,a(flip),b,249,a)]. 3462 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(65,a,2496,a,b,3422,a)]. 3463 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(120,a,3458,a(flip),b,178,a(flip)),flip(a)]. 3465 ((x * y) / x) / y = x \ T(x,y). [hyper(290,a,3130,a(flip),b,3453,a),flip(a)]. 3466 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(65,a,1389,a,b,3453,a)]. 3467 (x \ T(x,y)) * y = (x * y) / x. [hyper(139,a,3465,a)]. 3468 (x * (x * y)) / x = T(x,x * y) * y. [hyper(39,a,3223,a,b,3465,a),flip(a)]. 3469 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3465(a,1),491(a,1,1,1))]. 3470 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3465(a,1),611(a,1,1,1))]. 3471 T(x,y) * (x \ y) = (x * y) / x. [hyper(65,a,3190,a(flip),b,3467,a)]. 3472 T(x,y) * y = x * ((x * y) / x). [para(3467(a,1),3185(a,1,2)),flip(a)]. 3473 T(x / y,T(y,x)) = y \ x. [hyper(229,a,1416,a,b,3471,a)]. 3474 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(229,a,1418,a(flip),b,3471,a)]. 3475 T(x,T(y,x * y)) = y \ (x * y). [hyper(229,a,1399,a(flip),b,3471,a)]. 3476 T(x,x / (x / y)) = T(x,y). [hyper(37,a,1478,a,b,3471,a)]. 3477 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(90(a,1),3471(a,1,2))]. 3478 ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. [para(3471(a,1),396(a,1,1))]. 3479 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3471(a,1),463(a,1,1))]. 3480 T(x \ y,T(x,y)) = T(x \ y,x). [para(3473(a,1),237(a,1,1)),flip(a)]. 3481 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3473(a,1),2049(a,1,1)),flip(a)]. 3482 T(x,x / (1 / y)) = T(x,x * y). [hyper(65,a,1483,a(flip),b,3476,a)]. 3483 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(65,a,1172,a(flip),b,3476,a)]. 3484 (x / y) \ T(x,y) = (x * y) / x. [hyper(120,a,3476,a(flip),b,1158,a)]. 3485 T(x,x / y) = T(x,y \ x). [para(78(a,1),3476(a,1,2,2))]. 3486 T(x,(y \ x) \ x) = T(x,y). [para(184(a,1),3476(a,1,2)),flip(a)]. 3487 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(65,a,1434,a(flip),b,3485,a),flip(a)]. 3488 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(121,a,3485,a(flip),b,1149,a)]. 3489 T(x,y) \ (x * ((x * y) / x)) = y. [hyper(125,a,3472,a)]. 3490 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),3472(a,2,2,1))]. 3491 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(290,a,105,a,b,3474,a),flip(a)]. 3492 T(x,T(y,x * y)) = T(x,y). [hyper(290,a,22,a,b,3475,a),flip(a)]. 3494 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3480(a,1),104(a,1,2))]. 3496 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3480(a,2),393(a,1,2,2))]. 3498 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3482(a,1),1444(a,1,1))]. 3499 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(11(a,1),3484(a,1,1)),flip(a)]. 3500 T(x,(1 / y) * x) = T(x,y \ x). [para(81(a,1),3487(a,1,2,1)),flip(a)]. 3501 T(x,x \ y) \ (x * (y / x)) = x \ y. [para(10(a,1),3489(a,1,2,2,1))]. 3503 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(1808,a,3462,a)]. 3504 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1799,a,3462,a)]. 3505 T(T(x,x * y) * y,x) = x * y. [para(3468(a,1),214(a,1,1))]. 3506 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(3227,a,3490,a)]. 3507 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(120,a,3236,a,b,3490,a)]. 3510 T(x,x \ y) * y = x * (x * (y / x)). [para(3490(a,1),1111(a,1,2)),flip(a)]. 3511 T(x,x \ y) \ (y / x) = x \ (x \ y). [hyper(120,a,3501,a(flip),b,1114,a(flip)),flip(a)]. 3512 T(x,x \ y) * (x \ y) != z | x * (y / x) = z. [para(3501(a,1),245(a,1,2)),flip(b)]. 3513 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3503(a,1),2551(a,1,2))]. 3514 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3504(a,1),2897(a,1,2))]. 3515 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(121,a,3510,a(flip),b,1396,a)]. 3517 T(1 / x,(1 / x) \ y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). [hyper(290,a,676,a,b,3511,a),flip(a)]. 3518 ((x \ y) \ y) \ (y / x) = x \ (x \ y). [hyper(65,a,284,a(flip),b,3511,a)]. 3520 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(290,a,3483,a(flip),b,3498,a),flip(a)]. 3521 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(3520(a,1),227(a,1,2))]. 3522 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3520(a,1),1092(a,1,2)),flip(a)]. 3523 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(202,a,3411,a),flip(a)]. 3524 T(x,y / x) \ x = y / (x * (y / x)). [hyper(121,a,319,a(flip),b,3411,a(flip)),flip(a)]. 3525 (T(x,y) \ x) * (x * y) = y * x. [para(81(a,1),3411(a,1,2)),flip(a)]. 3526 x * ((y * z) / y) != z | T(y,z) \ y = x. [para(3523(a,1),46(a,1)),flip(a)]. 3527 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3392(a,2),3523(a,1,1))]. 3528 K(x,y) = T(T(y,x) \ y,y * x). [hyper(229,a,3525,a,b,89,a),flip(a)]. 3529 (x * y) / (y * x) = T(y,x) \ y. [hyper(136,a,3525,a)]. 3532 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(12(a,1),3529(a,1,2)),flip(a)]. 3533 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(3529(a,2),50(a,1)),flip(a)]. 3534 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(1880(a,1),3527(a,1,1,1,1))]. 3535 T(x,L(K(y,x),z,u)) = x. [hyper(230,a,3431,a)]. 3537 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3438(a,1),45(a,1)),flip(a)]. 3538 T(1 / x,(y * x) / y) = x \ 1. [hyper(229,a,3466,a,b,1372,a)]. 3540 T(x \ T(x * y,y),x) = R(y,x,y). [para(3499(a,1),814(a,2,1)),flip(a)]. 3541 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3499(a,1),828(a,1,1))]. 3542 T(x,y) != R(z,y,z) | y \ T(y * z,z) = x. [para(3540(a,1),51(a,1)),flip(a)]. 3543 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3541(a,1),91(a,1,1))]. 3544 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(290,a,3188,a(flip),b,3514,a),flip(a)]. 3545 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(141,a,3544,a)]. 3546 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(37,a,418,a,b,3522,a)]. 3547 (x * (y / x)) / y = (x \ y) \ (y / x). [para(106(a,1),3532(a,1,1)),flip(a)]. 3548 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(290,a,3142,a(flip),b,3547,a),flip(a)]. 3549 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(65,a,3149,a(flip),b,3548,a),flip(a)]. 3550 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3499(a,1),3546(a,1,1))]. 3551 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3471(a,1),3447(a,1,1,1))]. 3552 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3465(a,1),3551(a,1,1))]. 3553 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(3380,a,3552,a),flip(a)]. 3554 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3552(a,1),3380(a,1))]. 3555 (x \ T(x,x \ y)) * y != z | x * (y / x) = z. [para(3190(a,2),3512(a,1))]. 3556 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3420(a,1),2722(a,1,2))]. 3558 (T(x,y) \ x) * (x \ 1) != z | (x \ 1) * (T(x,y) \ x) = z. [para(3556(a,1),268(a,1,2))]. 3559 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(65,a,3496,a(flip),b,3481,a),flip(a)]. 3560 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(65,a,657,a(flip),b,3559,a),flip(a)]. 3561 K(x,T(y,y * x)) = K(x,y). [hyper(65,a,657,a(flip),b,3560,a),flip(a)]. 3563 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(647,a,3549,a)]. 3564 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(9(a,1),3563(a,1,2,2))]. 3565 T(x,(x / y) \ 1) = T(x,x \ y). [para(81(a,1),3563(a,1,2,2)),flip(a)]. 3566 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3563(a,1),213(a,1,2))]. 3567 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3563(a,1),254(a,1,2))]. 3569 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3563(a,1),3399(a,1,1)),flip(a)]. 3570 T(x,R(y \ 1,y,x) \ 1) = T(x,x \ (y * x)). [hyper(65,a,2642,a,b,3565,a)]. 3571 (x / y) \ T(x,x \ y) = x * (y / x). [para(3565(a,1),3238(a,1,2))]. 3572 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(81(a,1),3566(a,1,2,2))]. 3573 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2636(a,1),3567(a,1,2))]. 3574 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3571(a,1),1456(a,2,2,1))]. 3575 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(3571(a,1),1699(a,1,1,2,1))]. 3576 x / T(y * x,y \ 1) = (y * x) \ x. [para(3564(a,1),254(a,1,2))]. 3577 T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. [para(3564(a,1),390(a,1))]. 3578 T(x,R(y \ 1,y,x) \ 1) = T(x,T(y,x)). [para(22(a,2),3570(a,2,2))]. 3579 T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. [para(2636(a,1),3577(a,1))]. 3580 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(65,a,3309,a(flip),b,3569,a),flip(a)]. 3581 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(290,a,1215,a,b,3580,a)]. 3582 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(290,a,1032,a(flip),b,3580,a),flip(a)]. 3583 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(3580(a,2),463(a,1,1))]. 3585 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(3580(a,2),2256(a,1,1))]. 3586 T(x,y) \ x = y \ T(y,x). [para(2636(a,1),3582(a,1,1))]. 3587 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(290,a,3132,a(flip),b,3586,a),flip(a)]. 3588 T(x,y) * (y \ T(y,x)) = x. [hyper(141,a,3586,a)]. 3589 T(x,T(y,x)) = T(x,y). [hyper(41,a,3394,a,b,3586,a)]. 3590 (x * y) / x = y * (T(y,x) \ y). [para(3586(a,2),3128(a,1,2)),flip(a)]. 3591 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3586(a,2),3185(a,1,2,1))]. 3592 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3586(a,2),3190(a,1,1)),flip(a)]. 3593 K(x,y) = T(x \ T(x,y),y * x). [para(3586(a,1),3528(a,2,1))]. 3594 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(604,a,3589,a),flip(a)]. 3595 T((T(x,y) * y) / T(x,y),x) = y. [hyper(424,a,3589,a)]. 3596 T(x,y) \ (x * y) = T(y,x). [hyper(391,a,3589,a)]. 3597 T(x,R(y \ 1,y,x) \ 1) = T(x,y). [hyper(65,a,3578,a,b,3589,a)]. 3598 R(T(x,x * y),y,x) = T(x,y). [hyper(65,a,3520,a,b,3589,a)]. 3599 (x / T(y,x)) * y = T(x,y). [hyper(65,a,3483,a,b,3589,a)]. 3600 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(65,a,3311,a(flip),b,3589,a)]. 3601 T(x,y) / y = x / T(y,x). [hyper(121,a,3589,a(flip),b,3483,a)]. 3602 T(x,y) / (T(y,x) \ x) = y. [hyper(121,a,3589,a(flip),b,1127,a)]. 3603 (x / T(y,x)) \ T(x,y) = y. [hyper(120,a,3589,a(flip),b,3483,a)]. 3604 T(x,y) \ y = x \ T(y,x). [hyper(120,a,3589,a(flip),b,1127,a),flip(a)]. 3605 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3589(a,1),23(a,1,1)),flip(a)]. 3606 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),3589(a,1,2))]. 3607 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3589(a,1),25(a,1,1)),flip(a)]. 3608 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),3589(a,1,2))]. 3609 T(x,y / x) = T(x,x \ y). [para(106(a,1),3589(a,1,2)),flip(a)]. 3610 T(x,(x * y) / x) = T(x,y). [para(214(a,1),3589(a,1,2)),flip(a)]. 3612 (x * y) / T(y,x) = T(x,y). [para(3589(a,1),256(a,1,2))]. 3613 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3589(a,1),226(a,1,2,1))]. 3614 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3589(a,1),227(a,1,2,1))]. 3615 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3589(a,1),378(a,1,2,1))]. 3616 T(x,(x * y) * (x \ 1)) = T(x,R(y,x,x \ 1)). [para(817(a,1),3589(a,1,2)),flip(a)]. 3617 T(x,y) * T(T(T(y,x),z),u) = T(T(y,z),u) * T(x,y). [para(3589(a,1),416(a,1,2,1,1))]. 3619 K(T(x,y),T(y,x)) = K(x,y). [para(3589(a,1),3553(a,1,1))]. 3620 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3589(a,1),3521(a,1,2)),flip(a)]. 3621 T(x,y) \ x != z | y \ T(y,x) = z. [para(3588(a,1),307(a,1,2))]. 3622 T(x,y) * T(y,x) = x * y. [hyper(141,a,3596,a)]. 3623 T(x,x \ y) \ y = T(x \ y,x). [para(10(a,1),3596(a,1,2))]. 3624 T(x,y) = (x \ (y * x)) \ (y * x). [para(22(a,1),3596(a,1,1)),flip(a)]. 3625 T(x,y) != z | T(x,T(y,x)) = z. [para(3596(a,1),382(a,1))]. 3626 (x / y) / T(y,x / y) = (y \ x) / y. [hyper(121,a,106,a(flip),b,3599,a),flip(a)]. 3628 (T(x,y) / y) * z = (x / T(y,x)) * z. [hyper(59,a,3601,a)]. 3629 T(x * (y / x),x) = x * (y / T(x,y)). [para(3601(a,1),1518(a,2,2))]. 3630 T(x,T(y,x) \ x) / T(y,x) = (x * (T(x,y) / y)) / x. [para(3601(a,2),3488(a,2,1,2))]. 3631 T(x,y) * (x \ T(y,x)) = y. [para(3602(a,1),187(a,1,2,1))]. 3632 (x / T(T(y,x),z)) \ T(x,T(y,z)) = T(y,z). [para(23(a,1),3603(a,1,1,2))]. 3633 L(T(x,y) \ y,x,x) = (1 / x) * T(y,x). [para(3604(a,2),663(a,1,1))]. 3634 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3604(a,1),87(a,1,1,2,1))]. 3635 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3604(a,1),2288(a,1,2,1))]. 3636 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3604(a,1),2087(a,1,2,1))]. 3637 T(x,y / x) = (x \ y) \ y. [hyper(290,a,105,a(flip),b,3609,a),flip(a)]. 3638 (x / y) * T(y,y \ x) = y * (x / y). [para(3609(a,1),104(a,1,2))]. 3639 (x * (y / x)) / T(x,x \ y) = y / x. [para(3609(a,1),182(a,1,2))]. 3640 T(T(x / y,(x / y) \ z),y) = T(y \ x,z / (x / y)). [para(3609(a,1),237(a,1,1))]. 3641 (x * (y / x)) * x = y * T(x,x \ y). [para(3609(a,1),844(a,2,2))]. 3642 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3609(a,2),3167(a,1,2,1))]. 3643 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(27(a,2),3612(a,1,2))]. 3644 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3612(a,1),1416(a,1,1)),flip(a)]. 3645 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(3622(a,1),14(a,2,1,2)),flip(a)]. 3646 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3622(a,1),14(a,2,2,1)),flip(a)]. 3649 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3622(a,1),100(a,1,2))]. 3650 T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. [para(3622(a,1),459(a,1,1)),flip(a)]. 3652 T(x,y) * (y * x) = x * (x * y). [para(3622(a,1),1119(a,1,2)),flip(a)]. 3655 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3637(a,1),844(a,2,2))]. 3656 T(x,x * (y / x)) = T(x,y). [hyper(837,a,3598,a),flip(a)]. 3657 T(x,y * x) = T(x,x * y). [hyper(835,a,3598,a)]. 3658 R(T(x,y),x \ y,x) = T(x,x \ y). [para(10(a,1),3598(a,1,1,2))]. 3659 T(x,(x \ y) * x) = T(x,y). [para(77(a,1),3656(a,1,2)),flip(a)]. 3660 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3656(a,1),3631(a,1,1))]. 3661 T(L(x,y,x),y) = T(x,y * x). [hyper(290,a,747,a,b,3657,a)]. 3662 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(65,a,27,a,b,3657,a)]. 3663 T(x,x * (1 / y)) = T(x,y \ x). [hyper(65,a,3500,a(flip),b,3657,a),flip(a)]. 3664 ((x * (y * x)) / x) \ T(x,x * y) = (y * x) \ x. [hyper(120,a,3657,a(flip),b,1143,a(flip))]. 3665 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3657(a,1),23(a,1,1))]. 3666 T(T(x,y * x),z) = T(T(x,z),x * y). [para(3657(a,2),23(a,1,1))]. 3667 x * T(y,x * y) = L(y,x,y) * x. [para(3657(a,2),749(a,1,2))]. 3668 ((x * (y * x)) / x) / T(x,x * y) = y. [para(3657(a,1),1424(a,1,2))]. 3669 T(x,T(y,y * x)) = T(x,y). [para(3657(a,1),3492(a,1,2))]. 3670 K(x,T(y,x * y)) = K(x,y). [para(3657(a,2),3561(a,1,2))]. 3671 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(3659(a,1),23(a,1,1)),flip(a)]. 3673 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3659(a,1),1399(a,2,2))]. 3674 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(3669(a,1),226(a,1,2,1))]. 3675 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(3669(a,1),380(a,1,2,1))]. 3676 K(x,T(x \ y,y)) = K(x,x \ y). [para(10(a,1),3670(a,1,2,2))]. 3678 T((x * y) / x,x * y) = L(y,x,y). [hyper(424,a,3661,a)]. 3679 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(290,a,3400,a,b,3590,a),flip(a)]. 3680 T(x * (T(x,y) \ x),y) = x. [para(3590(a,1),214(a,1,1))]. 3681 T(x / (x / y),y \ x) = y. [para(3400(a,2),3680(a,1,1))]. 3684 T(x / (x / (x / y)),y) = x / y. [para(81(a,1),3681(a,1,2))]. 3685 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3681(a,1),104(a,1,2)),flip(a)]. 3688 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(290,a,3169,a(flip),b,3593,a)]. 3690 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3594(a,1),769(a,1,1))]. 3691 T(x,y) != z | (T(y,z) * z) / T(y,z) = x. [para(3595(a,1),51(a,1)),flip(a)]. 3692 T(x,T(y,x)) != z | T(x,y) = z. [para(3595(a,1),692(a,1,1))]. 3693 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(23(a,1),3692(a,1,2))]. 3694 K(x,y) != z | T(K(x,y),x) = z. [para(3273(a,1),3692(a,1))]. 3696 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(25(a,2),3605(a,1,2))]. 3698 T(x,T(T(y,x),z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). [para(1833(a,1),3606(a,1,2))]. 3699 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(290,a,3540,a(flip),b,3623,a),flip(a)]. 3700 T(x * y,T(y,x)) = T(x * y,y). [para(3624(a,2),3486(a,1,2))]. 3701 (x * (y / x)) / x = y / (y / (y / x)). [hyper(259,a,3684,a)]. 3702 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(3684(a,1),780(a,1,1))]. 3704 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(290,a,105,a(flip),b,3658,a),flip(a)]. 3706 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(1433,a,3667,a)]. 3707 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1432,a,3667,a)]. 3708 T(L(x,y,x) * y,x) = y * x. [para(3667(a,1),1397(a,1,1))]. 3709 T(x,L(x,y,x) * y) = T(x,y * x). [para(3708(a,1),3589(a,1,2)),flip(a)]. 3710 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(3704(a,1),27(a,2,1))]. 3712 T((x * y) / x,L(x,y,x)) = y. [hyper(1592,a,3707,a)]. 3713 T(x,L(y,x,y)) = T(x,y). [para(3712(a,1),258(a,1,1)),flip(a)]. 3714 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3713(a,1),104(a,1,2))]. 3715 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(290,a,3657,a(flip),b,3709,a),flip(a)]. 3716 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3715(a,1),1437(a,1,1))]. 3717 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(65,a,3524,a(flip),b,3587,a)]. 3718 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(36,a,1178,a,b,3591,a),flip(a)]. 3719 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(290,a,3411,a,b,3592,a)]. 3720 (T(x,y) \ x) * z != (y \ z) * u | T(T(y,x),y \ z) = u. [para(3592(a,1),230(a,2)),flip(a)]. 3721 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3692,a,3600,a),flip(a)]. 3723 T(x,(y / z) \ 1) = T(x,z / y). [para(81(a,1),3721(a,1,2,1)),flip(a)]. 3725 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3641(a,1),88(a,1,2))]. 3726 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(229,a,3655,a,b,10,a)]. 3728 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(824,a,3665,a),flip(a)]. 3729 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(3666(a,1),824(a,1))]. 3730 (((1 / x) * ((y * (x * x)) * (1 / x))) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). [para(994(a,1),3668(a,1,2,2))]. 3733 T(x / (x / y),x) = L(y,y \ x,y). [para(3679(a,1),753(a,1,1))]. 3734 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3733(a,2),25(a,2,1)),flip(a)]. 3735 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(78(a,1),3733(a,1,1,2)),flip(a)]. 3737 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(65,a,1449,a,b,3685,a)]. 3739 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3701(a,1),927(a,1,1))]. 3740 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(3728(a,2),824(a,1))]. 3741 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(139,a,3737,a)]. 3743 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(136,a,3620,a)]. 3744 R(x,y,T(x,y)) = R(x,y,x). [hyper(37,a,505,a,b,3620,a)]. 3746 x \ T(y * x,y) = R(y,x,y). [hyper(1170,a,3744,a)]. 3747 L(R(x,y,x),y,x) = x. [para(3744(a,1),1171(a,1,1))]. 3748 x * R(y,x,y) = T(y * x,y). [para(3744(a,1),1169(a,1,2))]. 3750 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3589(a,1),3744(a,1,3))]. 3752 R(x,x,x) = L(x,x,x). [hyper(43,a,2672,a,b,3747,a),flip(a)]. 3753 L(x,y,z) != z | R(z,y,z) = x. [para(3747(a,1),52(a,1)),flip(a)]. 3754 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(10(a,1),3746(a,1,2,1)),flip(a)]. 3755 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3746(a,1),96(a,1,1)),flip(a)]. 3756 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3748(a,1),307(a,1,2))]. 3757 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3748(a,1),1671(a,1,1))]. 3758 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(3748(a,1),2957(a,2,1))]. 3759 L(T(x,y) \ y,x,x) = ((x * x) \ y) * x. [hyper(290,a,907,a,b,3633,a),flip(a)]. 3760 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,T(y,x) * (z \ 1))) = T(y,T(y,x) * (z \ 1)). [para(1833(a,1),3632(a,1,1,2))]. 3761 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3673(a,1),3610(a,1,2))]. 3762 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(290,a,1347,a(flip),b,3718,a)]. 3763 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(120,a,3471,a(flip),b,3719,a),flip(a)]. 3764 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(65,a,1373,a,b,3719,a)]. 3766 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(65,a,3629,a(flip),b,3726,a),flip(a)]. 3767 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(290,a,3659,a(flip),b,3761,a),flip(a)]. 3768 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3767(a,1),1428(a,1,1))]. 3769 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(3671(a,2),3710(a,1,1))]. 3772 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(744(a,1),3613(a,1,2))]. 3773 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(290,a,3714,a(flip),b,3772,a),flip(a)]. 3775 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3657(a,2),3773(a,1,2))]. 3777 (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(3614(a,1),218(a,1,1,2))]. 3778 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3598(a,1),3614(a,1,2)),flip(a)]. 3779 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1515(a,1),3660(a,1,2))]. 3780 T(x,y) * z != x * (y / x) | T(y,x) / x = z. [para(3779(a,1),45(a,1)),flip(a)]. 3781 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3601(a,1),3779(a,1,2))]. 3782 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(3781(a,1),45(a,1)),flip(a)]. 3791 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(2140(a,1),3643(a,1,2,1))]. 3792 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(290,a,3757,a(flip),b,3778,a),flip(a)]. 3793 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3792(a,1),3755(a,1,2))]. 3794 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3563(a,1),3507(a,1,1))]. 3795 T(x,y \ 1) \ z != x \ (y \ x) | y \ T(x,y \ 1) = z. [para(3794(a,1),49(a,1)),flip(a)]. 3796 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(1852(a,1),3794(a,2,2))]. 3797 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1139(a,1),3513(a,1,1))]. 3798 T(x \ y,z / (y / x)) = T(x \ y,(y / x) \ z). [hyper(689,a,3640,a),flip(a)]. 3799 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(65,a,1716,a(flip),b,3762,a),flip(a)]. 3800 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(37,a,841,a(flip),b,3649,a),flip(a)]. 3801 R(x,T(y,x),x) = R(x,y,x). [hyper(65,a,3750,a(flip),b,3800,a)]. 3802 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3800(a,1),31(a,1,1)),flip(a)]. 3803 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3802(a,1),3649(a,1,1)),flip(a)]. 3804 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(290,a,691,a(flip),b,3702,a),flip(a)]. 3805 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(3701(a,2),3804(a,1,2))]. 3806 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(3769(a,1),632(a,1,2))]. 3807 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3477(a,1),46(a,1))]. 3808 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3644(a,2),3615(a,1))]. 3809 T(x,T(y,T(y,x) * (z \ 1))) = T(x,T(y,z \ T(y,x))). [hyper(3693,a,3698,a),flip(a)]. 3811 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(37,a,2527,a,b,3797,a),flip(a)]. 3812 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(65,a,283,a(flip),b,3811,a)]. 3813 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(105(a,2),3806(a,1,2,1))]. 3814 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(9(a,1),3813(a,1,1,1))]. 3815 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3449(a,2),1041(a,1,1,2))]. 3816 ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. [para(961(a,1),3478(a,1,2))]. 3818 T(x * ((y \ x) \ 1),x) != z * ((y \ x) \ 1) | (y * x) / y = z. [para(3816(a,1),135(a,1,2)),flip(a),flip(b)]. 3819 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(290,a,501,a(flip),b,3803,a),flip(a)]. 3820 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1261(a,1),3819(a,1,1))]. 3821 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(120,a,3757,a(flip),b,3820,a(flip))]. 3822 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(290,a,3747,a(flip),b,3550,a),flip(a)]. 3824 T(x,x \ T(x * y,y)) = T(x,y). [para(3822(a,1),3491(a,1,2)),flip(a)]. 3825 K(x,x \ T(x * y,y)) = K(x,y). [para(3822(a,1),3676(a,1,2)),flip(a)]. 3826 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3824(a,1),3699(a,1,1))]. 3827 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(65,a,3543,a,b,3825,a),flip(a)]. 3828 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(22(a,1),3826(a,1,1))]. 3829 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3748(a,1),3827(a,2,1))]. 3830 K(x \ T(x * y,x),x) = K(y,x). [hyper(290,a,1522,a(flip),b,3829,a)]. 3831 K(x \ T(y,x),x) = K(x \ y,x). [para(10(a,1),3830(a,1,1,2,1))]. 3832 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(214(a,1),3831(a,1,1,2)),flip(a)]. 3833 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3763(a,2),3832(a,1,1))]. 3834 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(9(a,1),3814(a,1,2,1,2)),flip(a)]. 3835 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(9(a,1),3834(a,1,1,2)),flip(a)]. 3836 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(23(a,1),3835(a,1,2))]. 3837 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(3835(a,1),485(a,2,2))]. 3838 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(963,a,3836,a)]. 3839 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(290,a,3411,a(flip),b,3470,a),flip(a)]. 3840 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(65,a,3821,a(flip),b,3793,a),flip(a)]. 3842 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(1109(a,1),3574(a,1,1,2,1))]. 3843 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3490(a,1),3842(a,1,1,2,1))]. 3844 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(81(a,1),3805(a,2,1,2))]. 3845 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1264,a,3758,a),flip(a)]. 3846 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2482(a,1),3845(a,1,1)),flip(a)]. 3847 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(121,a,3846,a(flip),b,1263,a)]. 3849 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2861(a,1),3847(a,1,1))]. 3850 T(x,R(x * K(y,x),z,u)) = x. [hyper(298,a,3791,a),flip(a)]. 3852 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3304(a,1),3335(a,1,1))]. 3855 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3331(a,1),3852(a,2,1))]. 3856 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(141,a,3855,a)]. 3858 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(65,a,2510,a(flip),b,3856,a)]. 3859 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(65,a,3190,a(flip),b,3858,a)]. 3860 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2515(a,1),3859(a,1,2))]. 3861 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(65,a,3406,a(flip),b,3860,a),flip(a)]. 3862 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3367(a,1),3861(a,1,1)),flip(a)]. 3863 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(3862(a,1),3375(a,1,2))]. 3864 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(3863(a,1),291(a,1,1)),flip(a)]. 3865 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(1979(a,1),3244(a,1,2,1)),flip(a)]. 3866 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3270(a,1),3865(a,2,2))]. 3867 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(290,a,278,a(flip),b,3866,a)]. 3868 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,z \ T(y,x))) = T(y,T(y,x) * (z \ 1)). [para(3809(a,1),3760(a,1,2))]. 3869 T(x,T(x,y) * (z \ 1)) = T(x,z \ T(x,y)). [hyper(65,a,3632,a(flip),b,3868,a),flip(a)]. 3872 (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(1246(a,1),3777(a,1,1))]. 3873 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1273(a,1),3872(a,1,2))]. 3874 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(733,a,3873,a),flip(a)]. 3875 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3372(a,1),3371(a,1,2))]. 3876 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3875(a,1),463(a,1))]. 3877 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3876,a,1849,a)]. 3878 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(65,a,96,a(flip),b,3877,a),flip(a)]. 3879 (((1 / x) * (y * ((x * x) * (1 / x)))) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). [para(34(a,1),3730(a,1,1,1,2))]. 3880 (((1 / x) * (y * ((x * x) / x))) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). [para(409(a,1),3879(a,1,1,1,2,2))]. 3881 (((1 / x) * (y * x)) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). [para(11(a,1),3880(a,1,1,1,2,2))]. 3882 (((x \ 1) * (y * x)) / (x \ 1)) / T(1 / x,T(x * y,x * x)) = y * (x * x). [para(2557(a,1),3881(a,1,1))]. 3883 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),3534(a,1,1,1))]. 3884 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3526,a,3883,a),flip(a)]. 3886 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(2845,a,3884,a)]. 3887 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2151(a,1),3886(a,2,1))]. 3888 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(65,a,3351,a(flip),b,3887,a),flip(a)]. 3889 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(3533,a,3888,a),flip(a)]. 3890 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2065(a,1),3889(a,1,2))]. 3891 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3692,a,3890,a)]. 3892 T(x,(1 / x) * y) = T(x,x \ y). [hyper(65,a,2151,a,b,3891,a)]. 3893 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3891(a,1),3688(a,1,2,2,1))]. 3894 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3891(a,1),3867(a,2,1,2))]. 3895 x / T(y,(1 / y) * x) = y \ x. [para(3892(a,2),254(a,1,2))]. 3896 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(78(a,1),3895(a,1,2,2,1))]. 3897 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(183,a,3896,a),flip(a)]. 3898 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(10(a,1),3897(a,1,2)),flip(a)]. 3899 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(141,a,3893,a),flip(a)]. 3900 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3170,a,3899,a)]. 3901 (x \ y) * K(y,x \ 1) = y * ((x \ y) / y). [para(3900(a,1),279(a,1,2))]. 3902 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(3901(a,2),45(a,1))]. 3903 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(290,a,3506,a(flip),b,3894,a),flip(a)]. 3904 (((x \ 1) * y) \ y) * ((x \ 1) * y) != z | x * (y / x) = z. [para(3894(a,2),3555(a,1))]. 3905 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3639(a,1),3575(a,1,1,2)),flip(a)]. 3906 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(290,a,1692,a(flip),b,3905,a),flip(a)]. 3907 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3571(a,1),3906(a,1,3))]. 3908 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(81(a,1),3796(a,1,1,2))]. 3909 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),3908(a,1,1))]. 3910 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(1850(a,1),3909(a,1,1))]. 3911 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(81(a,1),3910(a,1,2,2,2))]. 3912 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),3911(a,1,2,2))]. 3913 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(1850(a,1),3912(a,1,2,2))]. 3914 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),3913(a,1,2))]. 3916 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(100(a,1),1702(a,1,1,1,2,2)),flip(a)]. 3917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(290,a,903,a(flip),b,3916,a),flip(a)]. 3918 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(290,a,2389,a(flip),b,3917,a),flip(a)]. 3919 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(903(a,1),3918(a,1,1))]. 3920 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2402(a,1),3919(a,2,1))]. 3921 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(37,a,100,a,b,3920,a),flip(a)]. 3922 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1627,a,3921,a),flip(a)]. 3923 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3145(a,1),3922(a,1,1))]. 3924 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(290,a,3148,a(flip),b,3923,a),flip(a)]. 3925 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(290,a,3231,a,b,3924,a)]. 3926 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2636(a,1),3925(a,2,1,2))]. 3927 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3723(a,1),3926(a,1,1,2))]. 3928 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(11(a,1),3927(a,1,1,2,2))]. 3929 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(65,a,3457,a(flip),b,3928,a),flip(a)]. 3931 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3929(a,1),3469(a,1,1))]. 3932 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3929(a,1),3839(a,1,1))]. 3933 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3253,a,3932,a),flip(a)]. 3934 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3226,a,3932,a),flip(a)]. 3935 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(290,a,3592,a,b,3932,a),flip(a)]. 3936 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(65,a,2276,a(flip),b,3932,a),flip(a)]. 3939 T(T(x,x \ y),x \ y) = T(x \ y,x) \ y. [hyper(3720,a,3933,a)]. 3940 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(65,a,3592,a,b,3933,a)]. 3941 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(65,a,3799,a(flip),b,3933,a),flip(a)]. 3942 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(65,a,3718,a(flip),b,3933,a)]. 3943 x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. [hyper(120,a,3933,a(flip),b,3411,a)]. 3945 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(120,a,10,a(flip),b,3934,a)]. 3946 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(65,a,3592,a,b,3934,a)]. 3947 ((x * y) / x) \ (T(x,y) * y) = T(x,y). [hyper(229,a,3934,a(flip),b,3411,a),flip(a)]. 3948 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(120,a,3934,a(flip),b,3411,a),flip(a)]. 3951 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3934(a,1),3591(a,1,2)),flip(a)]. 3952 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(3558,a,3936,a)]. 3953 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(3583,a,3945,a),flip(a)]. 3955 T(x,y) * T(T(y,x),x) = y * x. [para(22(a,2),3946(a,1,2))]. 3956 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(3946(a,2),569(a,1))]. 3957 (x * y) / T(T(x,y),y) = T(y,x). [hyper(136,a,3955,a)]. 3958 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(125,a,3955,a)]. 3960 (x * y) / z != T(y,x) | T(T(x,y),y) = z. [para(3957(a,1),47(a,1)),flip(a)]. 3961 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),3958(a,1,1))]. 3962 ((x * y) / x) * T(x,y) = T(x,y) * y. [hyper(141,a,3947,a)]. 3963 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(290,a,94,a,b,3951,a),flip(a)]. 3965 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3951(a,1),3646(a,1,1))]. 3966 (T(x,y) * y) * x = (x * y) * T(x,y). [para(3962(a,1),1396(a,1,1))]. 3967 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(120,a,3931,a(flip),b,3935,a(flip)),flip(a)]. 3968 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(83(a,1),3931(a,1,2))]. 3971 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(105(a,1),3968(a,1,1,2))]. 3972 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(190,a,3971,a)]. 3973 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(290,a,3548,a,b,3972,a)]. 3974 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(3942(a,1),1048(a,1))]. 3975 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3943(a,1),3408(a,1,2,1))]. 3976 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3479,a,3948,a),flip(a)]. 3977 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(290,a,1114,a(flip),b,3967,a),flip(a)]. 3978 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(65,a,1371,a(flip),b,3977,a)]. 3979 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3978(a,1),202(a,1))]. 3980 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(3650,a,3963,a)]. 3981 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(601,a,3963,a)]. 3982 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(375,a,3963,a),flip(a)]. 3983 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(106(a,1),3980(a,1,2))]. 3984 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(3609(a,1),3983(a,1,3))]. 3985 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(766,a,3976,a),flip(a)]. 3986 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(106(a,1),3981(a,2,1,1))]. 3987 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(733,a,3965,a),flip(a)]. 3988 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3965(a,1),733(a,1))]. 3989 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(290,a,3874,a(flip),b,3987,a),flip(a)]. 3990 a(T(x,T(y,z)),T(T(y,x),z),u) != w | a(x,T(y,z),u) = w. [para(23(a,1),3988(a,1,2))]. 3991 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3833(a,1),3975(a,1,2)),flip(a)]. 3992 T(x,(y \ x) * y) = x. [hyper(3807,a,3991,a)]. 3993 T((x \ y) * x,y) = (x \ y) * x. [hyper(56,a,3992,a)]. 3994 T(x,y * (x / y)) = x. [para(81(a,1),3992(a,1,2,1))]. 3995 T(x * (y / x),y) = x * (y / x). [para(82(a,1),3992(a,1,2))]. 3996 T(T(x,y),z * (x / z)) = T(x,y). [para(3994(a,1),23(a,1,1)),flip(a)]. 3997 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(3995(a,2),3973(a,1,1))]. 3998 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3289(a,1),3997(a,1,1,1)),flip(a)]. 3999 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3609(a,1),3986(a,1,2,1))]. 4000 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(3961(a,2),824(a,1))]. 4001 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3589(a,1),3989(a,1,1))]. 4002 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(3903(a,1),3998(a,1,2)),flip(a)]. 4003 ((x \ y) * x) / y = y / (x * (y / x)). [para(3993(a,1),4002(a,1,1))]. 4004 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(290,a,3717,a(flip),b,4003,a),flip(a)]. 4005 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(65,a,3299,a(flip),b,3953,a)]. 4006 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3946(a,1),4005(a,1,2)),flip(a)]. 4007 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(290,a,247,a(flip),b,4006,a),flip(a)]. 4009 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(65,a,3878,a(flip),b,4007,a),flip(a)]. 4011 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4009(a,1),2951(a,2,2))]. 4012 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(290,a,3864,a(flip),b,4011,a),flip(a)]. 4013 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(2783,a,4012,a)]. 4015 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(290,a,153,a(flip),b,4013,a),flip(a)]. 4017 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4015(a,1),1951(a,1,2))]. 4018 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4017(a,1),2831(a,1,2)),flip(a)]. 4020 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(290,a,2525,a(flip),b,4018,a),flip(a)]. 4022 K(x \ 1,x) * (y * K(x,x \ 1)) != z | y = z. [para(4018(a,1),517(a,1))]. 4025 R(x,K(y \ 1,y),z) = x. [para(10(a,1),4020(a,1,3))]. 4029 R(x,y,K(z \ 1,z)) = x. [hyper(65,a,2694,a(flip),b,4025,a)]. 4031 R(x,K(y,y \ 1),z) = x. [para(1794(a,1),4025(a,1,2))]. 4035 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(2879,a,4029,a),flip(a)]. 4036 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(2878,a,4029,a),flip(a)]. 4038 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(65,a,2695,a(flip),b,4029,a)]. 4039 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(65,a,2552,a(flip),b,4029,a),flip(a)]. 4040 R(x,y,K(z,1 / z)) = x. [para(81(a,1),4029(a,1,3,1))]. 4041 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4029(a,1),100(a,1,1)),flip(a)]. 4042 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4029(a,1),490(a,1,1))]. 4043 R(x,y,K(z,z \ 1)) = x. [para(1794(a,1),4029(a,1,3))]. 4044 R(x,y,K(1 / z,z)) = x. [para(1886(a,2),4029(a,1,3))]. 4045 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4031(a,1),100(a,1,1)),flip(a)]. 4046 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(65,a,2829,a(flip),b,4040,a),flip(a)]. 4047 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4040(a,1),100(a,1,1)),flip(a)]. 4048 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(2881,a,4043,a),flip(a)]. 4051 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4043(a,1),100(a,1,1)),flip(a)]. 4052 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4043(a,1),2533(a,1,1))]. 4053 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4044(a,1),100(a,1,1)),flip(a)]. 4054 (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. [para(4044(a,1),502(a,1,1)),flip(a)]. 4055 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4044(a,1),543(a,1,1))]. 4056 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(1745(a,1),4036(a,1,2)),flip(a)]. 4057 T(x,K(y \ 1,y) * z) = T(x,z). [para(2481(a,2),4036(a,1,2))]. 4058 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2506(a,1),4036(a,1,2))]. 4059 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2507(a,1),4036(a,1,2))]. 4060 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2508(a,1),4036(a,1,2)),flip(a)]. 4061 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2798(a,1),4036(a,1,2))]. 4062 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2284(a,1),4048(a,1,2)),flip(a)]. 4063 T(x,K(y,y \ 1) * z) = T(x,z). [para(2494(a,2),4048(a,1,2))]. 4065 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2527(a,1),4048(a,1,2))]. 4066 T(x,K(y,1 / y) * z) = T(x,z). [para(81(a,1),4057(a,1,2,1,1))]. 4067 T(x,(y / (1 / z)) * u) = T(x,(y / (z \ 1)) * u). [para(2624(a,1),4057(a,1,2))]. 4068 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(2044(a,1),4063(a,1,2))]. 4069 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4035(a,1),3941(a,1,2,1))]. 4070 T(x,T(x,y) * (1 / z)) = T(x,z \ T(x,y)). [hyper(290,a,3869,a(flip),b,4056,a),flip(a)]. 4071 x / T(1 / y,y * x) = (1 / y) \ x. [para(4058(a,1),3895(a,1,2))]. 4072 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3459(a,1),4059(a,1,2)),flip(a)]. 4073 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(183,a,4071,a),flip(a)]. 4074 T(1 / (x / y),x) = ((1 / (x / y)) \ y) \ y. [para(12(a,1),4073(a,1,2))]. 4075 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4073(a,1),757(a,1,1))]. 4076 R(x,y,z) != (y * z) \ z | ((1 / y) \ z) \ z = x. [para(4075(a,1),53(a,1)),flip(a)]. 4077 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(65,a,4048,a,b,4068,a)]. 4078 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(78(a,1),4068(a,1,2,1)),flip(a)]. 4080 K(x \ 1,x) * ((x \ 1) \ y) != z | (1 / x) \ y = z. [para(2523(a,1),4022(a,1,2))]. 4081 (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. [para(2514(a,2),4022(a,1))]. 4084 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(3065(a,1),4039(a,2,2))]. 4085 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(459,a,4041,a)]. 4086 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4041(a,1),2519(a,1,1))]. 4087 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4041(a,1),4038(a,1,2))]. 4088 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(65,a,2861,a(flip),b,4085,a)]. 4089 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(3033(a,1),4085(a,1,1))]. 4091 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(65,a,1324,a,b,4088,a)]. 4092 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(65,a,2518,a,b,4042,a)]. 4093 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1528(a,1),4042(a,1,2)),flip(a)]. 4094 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4093(a,1),4036(a,1,2)),flip(a)]. 4095 T(x \ 1,x \ (x \ 1)) = 1 / x. [hyper(65,a,2328,a(flip),b,4094,a),flip(a)]. 4096 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4094(a,1),254(a,1,2))]. 4097 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(81(a,1),4096(a,1,2,2,2))]. 4098 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(2655,a,4045,a)]. 4099 L(x,K(y,y \ 1),z) = x. [hyper(459,a,4045,a)]. 4101 L(x,y * (1 / y),z) = x. [para(1793(a,1),4099(a,1,2))]. 4103 L(x,y * (1 / y),z) != u | x = u. [para(4101(a,1),52(a,2))]. 4105 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(2498,a,4047,a)]. 4106 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(65,a,2522,a,b,4047,a)]. 4107 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(459,a,4051,a)]. 4108 R(x * y,L(z,y,x),K(u,u \ 1)) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4051(a,1),543(a,1,2))]. 4109 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4051(a,1),4048(a,1,2))]. 4111 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4107(a,1),271(a,1,2))]. 4112 T(x,y * ((1 / z) * u)) = T(x,y * ((z \ 1) * u)). [para(2493(a,1),4109(a,1,2,2))]. 4113 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(2523(a,1),4109(a,1,2,2)),flip(a)]. 4114 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2551(a,1),4109(a,1,2,2))]. 4115 T(x,y * T(1 / z,u)) = T(x,y * T(z \ 1,u)). [para(3361(a,1),4109(a,1,2,2))]. 4116 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(290,a,2494,a,b,4052,a),flip(a)]. 4117 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(290,a,2481,a,b,4092,a),flip(a)]. 4118 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4092(a,2),4036(a,1,2))]. 4119 T(x,((1 / y) * z) \ u) = T(x,((y \ 1) * z) \ u). [para(1936(a,1),4118(a,1,2,1))]. 4120 T(x,R(1 / y,z,u) \ w) = T(x,R(y \ 1,z,u) \ w). [para(2044(a,1),4118(a,1,2,1))]. 4121 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(65,a,2013,a(flip),b,4097,a)]. 4122 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4121(a,1),1937(a,1,2,1))]. 4124 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4098(a,2),14(a,2,2,1)),flip(a)]. 4126 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(1933(a,1),4098(a,2,2))]. 4127 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(1966(a,1),4098(a,2,2))]. 4128 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2545(a,1),4098(a,2,2))]. 4129 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2598(a,1),4098(a,2,2))]. 4130 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4098(a,1),4052(a,1,2))]. 4131 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4098(a,1),4092(a,1,1))]. 4132 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(2521(a,1),4106(a,1,1)),flip(a)]. 4133 T(x,y * ((z \ 1) \ R(1 / z,u,u))) = T(x,y * a(1 / z,u,u)). [para(2197(a,1),4113(a,1,2,2)),flip(a)]. 4134 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2494(a,1),4116(a,1,2))]. 4135 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4116(a,2),2495(a,1))]. 4137 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(65,a,1991,a(flip),b,4117,a),flip(a)]. 4138 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(1936(a,1),4117(a,1,1)),flip(a)]. 4139 T(x,(y * z) \ ((y * y) * u)) = T(x,((y \ 1) * z) \ u). [para(999(a,2),4119(a,1,2))]. 4142 ((x \ 1) \ y) * K(x \ 1,x) != z | (1 / x) \ y = z. [para(2481(a,1),4080(a,1))]. 4144 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(3974,a,4069,a)]. 4145 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(141,a,4144,a),flip(a)]. 4146 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(139,a,4144,a(flip))]. 4147 T(x * y,z) / y = y \ T(y * x,z). [para(11(a,1),4144(a,1,2,1,2)),flip(a)]. 4148 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(78(a,1),4144(a,1,2,1,2))]. 4149 T((x \ y) * x,z) / x = x \ T(y,z). [para(77(a,1),4144(a,1,2,1)),flip(a)]. 4153 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3472(a,2),4144(a,1,2,1))]. 4154 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3781(a,1),4144(a,1,2,1))]. 4155 x * (T(y * x,z) / x) = T(x * y,z). [para(11(a,1),4145(a,1,1,2)),flip(a)]. 4156 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(78(a,1),4145(a,1,1,2)),flip(a)]. 4157 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(106(a,1),4145(a,2,2,1))]. 4159 T(x * (y / x),K(y,z)) = x * (y / x). [para(3261(a,1),4145(a,2,2,1))]. 4160 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4145(a,2),3515(a,1,1,2))]. 4161 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(65,a,2782,a,b,4146,a)]. 4162 (x \ T(x * y,z)) * x = T(y * x,z). [para(11(a,1),4146(a,1,1,2,1,2))]. 4163 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(77(a,1),4146(a,1,1,2,1)),flip(a)]. 4164 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(290,a,954,a,b,4147,a)]. 4165 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(65,a,1704,a,b,4147,a)]. 4166 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4147(a,1),106(a,1,1))]. 4167 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(89(a,1),4147(a,2,2,1))]. 4168 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4147(a,1),3120(a,1,2))]. 4169 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4149(a,1),106(a,1,1)),flip(a)]. 4173 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [para(1707(a,1),4155(a,1,2)),flip(a)]. 4174 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4155(a,1),3656(a,1,2)),flip(a)]. 4175 T(K(x,y),z * (x / z)) = K(x,y). [hyper(56,a,4159,a)]. 4176 T(K(x * y,z),y * x) = K(x * y,z). [para(11(a,1),4175(a,1,2,2))]. 4178 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4162(a,1),297(a,1,1)),flip(b)]. 4183 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4163(a,2),46(a,1))]. 4184 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4163(a,1),104(a,1,2))]. 4186 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4163(a,2),91(a,1,1))]. 4188 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4176(a,1),268(a,1,2))]. 4189 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4157(a,1),104(a,1,2)),flip(a)]. 4190 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4166(a,2),3756(a,1))]. 4191 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(65,a,3298,a(flip),b,4184,a),flip(a)]. 4193 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(106(a,1),4184(a,1,2,1,2)),flip(a)]. 4194 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(290,a,1144,a(flip),b,4148,a),flip(a)]. 4195 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3996(a,1),4154(a,1,1))]. 4196 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2546,a,4161,a),flip(a)]. 4197 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(1934,a,4161,a),flip(a)]. 4199 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1558(a,1),4164(a,2,1,1))]. 4200 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(121,a,4165,a(flip),b,1488,a),flip(a)]. 4202 x * ((1 / x) * T(x \ y,z)) = T((x \ 1) * y,z). [para(717(a,1),4173(a,1,1)),flip(a)]. 4203 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3179,a,4189,a),flip(a)]. 4204 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(9(a,1),4189(a,2,2,2,1))]. 4205 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(208(a,2),4189(a,2,2,2,1))]. 4206 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(136,a,4193,a)]. 4207 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(65,a,3117,a,b,4193,a)]. 4208 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(210(a,2),4193(a,1,1,1,2))]. 4209 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(1914(a,1),4196(a,1,1)),flip(a)]. 4210 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2494(a,1),4197(a,1,1))]. 4211 x * ((1 / x) * T(x \ T(x \ 1,y),z)) = T(T(x \ 1,y) * (x \ 1),z). [para(233(a,2),4202(a,2,1))]. 4212 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(9(a,1),4206(a,1,1,2,1,2))]. 4213 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4206(a,1),241(a,1,1)),flip(b)]. 4214 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(65,a,3673,a(flip),b,4212,a),flip(a)]. 4215 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1807(a,1),4084(a,1,1)),flip(a)]. 4217 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(141,a,4091,a)]. 4218 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(210(a,1),4120(a,1,2,1)),flip(a)]. 4219 R(1 / x,x,y) \ T(y,R(x \ 1,x,y) \ 1) = y * ((x * y) / y). [para(4120(a,1),3239(a,1,2))]. 4220 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(65,a,2009,a(flip),b,4122,a)]. 4221 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4220(a,1),3124(a,1,1))]. 4222 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(65,a,4191,a(flip),b,4221,a)]. 4223 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4221(a,1),45(a,1))]. 4224 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(290,a,4004,a(flip),b,4222,a),flip(a)]. 4225 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4224(a,1),3301(a,2,2))]. 4226 (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. [para(4129(a,1),1949(a,1))]. 4227 T(x,((y \ 1) * z) \ 1) = T(x,(y * z) \ (y * y)). [para(8(a,1),4139(a,1,2,2)),flip(a)]. 4228 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(65,a,1505,a,b,4168,a)]. 4229 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4209(a,1),4048(a,1,2)),flip(a)]. 4230 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(81(a,1),4229(a,1,2,1,1,1)),flip(a)]. 4231 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(3074,a,4217,a)]. 4232 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4217(a,1),2602(a,1,1))]. 4233 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(2524(a,1),4111(a,1))]. 4234 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(2528(a,2),4077(a,1,2))]. 4235 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(2623,a,4086,a),flip(a)]. 4236 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(1940,a,4087,a(flip))]. 4237 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(733,a,4130,a),flip(a)]. 4238 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4213,a,4228,a)]. 4240 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(1870(a,1),4234(a,1,2,1))]. 4241 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2501(a,1),4236(a,1,2,2)),flip(a)]. 4242 T(x,y * ((z \ 1) \ R(1 / z,u,u))) = T(x,y * a(z,u,u)). [para(2168(a,1),4133(a,2,2,2))]. 4243 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(65,a,3843,a(flip),b,4160,a),flip(a)]. 4244 R(1 / x,x,y) \ T(y,R(x \ 1,x,y) \ 1) = y * x. [para(11(a,1),4219(a,2,2))]. 4245 R(1 / x,x,y) \ T(y,x) = y * x. [para(3597(a,1),4244(a,1,2))]. 4246 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(190,a,4245,a)]. 4248 (x / (y * x)) \ T(x,y) = x * y. [para(210(a,1),4245(a,1,1))]. 4249 T(x,y) = (x / (y * x)) * (x * y). [para(4245(a,1),756(a,1,2)),flip(a)]. 4250 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(41,a,185,a,b,4248,a)]. 4252 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(65,a,364,a,b,4246,a)]. 4253 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(4246(a,1),417(a,1,1,1)),flip(a)]. 4254 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3563(a,1),4250(a,1,1))]. 4255 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(106(a,1),4252(a,1,3)),flip(a)]. 4256 R(1 / x,x,y / x) = (x \ y) / y. [hyper(290,a,361,a(flip),b,4255,a),flip(a)]. 4257 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(827,a,4256,a)]. 4258 ((x \ y) / y) * (x * (y / x)) = y / x. [hyper(139,a,4257,a)]. 4259 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(2636(a,1),4254(a,1,1))]. 4260 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4053(a,1),4055(a,1,2))]. 4261 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(27(a,2),4253(a,2,1))]. 4262 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4053(a,1),4260(a,1,2,2))]. 4263 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(463,a,4262,a)]. 4264 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(248(a,2),4200(a,2,1,2,1,2))]. 4265 T(x * ((1 / x) * (x \ T(x \ 1,y))),z) = T(T(x \ 1,y) * (x \ 1),z). [hyper(65,a,4173,a,b,4211,a)]. 4266 T(x * ((x * x) \ T(x \ 1,y)),z) = T(T(x \ 1,y) * (x \ 1),z). [para(664(a,1),4265(a,1,1,2))]. 4267 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(65,a,4189,a(flip),b,4205,a),flip(a)]. 4268 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3110(a,2),4208(a,1,1))]. 4269 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(267,a,4268,a),flip(a)]. 4270 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4189(a,1),4203(a,2,1))]. 4271 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(81(a,1),4270(a,1,1,2)),flip(a)]. 4272 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4126(a,1),4235(a,1,2)),flip(a)]. 4273 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(290,a,18,a,b,4272,a),flip(a)]. 4275 L(x,1 / y,z) = L(x,y \ 1,z). [para(1528(a,1),4273(a,1,2)),flip(a)]. 4276 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(1745(a,1),4273(a,1,2)),flip(a)]. 4277 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1963(a,1),4273(a,1,2)),flip(a)]. 4278 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1965(a,1),4273(a,1,2)),flip(a)]. 4279 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2481(a,2),4273(a,1,2))]. 4280 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3357(a,1),4273(a,1,2))]. 4282 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(4277(a,1),94(a,1,2))]. 4283 L(x,(y \ 1) \ 1,z \ 1) = L(x,y,z). [hyper(2843,a,4278,a)]. 4284 (x \ 1) \ L(y,x,x) = ((x \ 1) \ 1) * y. [hyper(120,a,4283,a(flip),b,247,a)]. 4285 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [para(1846(a,1),4284(a,1,2))]. 4286 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(78(a,1),4280(a,1,2,1,1)),flip(a)]. 4287 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(4282(a,1),45(a,1)),flip(a)]. 4288 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(1868(a,1),4124(a,1,1,2))]. 4289 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4098(a,2),4237(a,1,1,1,2))]. 4290 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(1868(a,1),4288(a,1,2))]. 4291 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4131(a,1),4289(a,1,1))]. 4292 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4135,a,4290,a)]. 4293 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(14(a,2),4291(a,1,1,1))]. 4294 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(4081,a,4293,a),flip(a)]. 4296 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(65,a,4237,a,b,4294,a)]. 4297 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4128(a,1),4294(a,1,3))]. 4299 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2494(a,1),4296(a,1,1,1,2,2))]. 4300 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4131(a,1),4292(a,1,1))]. 4301 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(14(a,2),4300(a,1,1,1))]. 4302 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(4081,a,4301,a),flip(a)]. 4304 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2494(a,1),4302(a,1,2))]. 4305 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(81(a,1),4271(a,2,2,2,1,1,2))]. 4306 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(81(a,1),4305(a,1,2))]. 4307 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = L(z,y,x) * K(u,u \ 1). [para(4043(a,1),4108(a,1,1))]. 4309 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = L(z,y,x) * K(u,u \ 1). [para(4051(a,1),4307(a,1,2,2))]. 4310 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(463,a,4309,a)]. 4311 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(290,a,2494,a,b,4310,a),flip(a)]. 4312 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [hyper(2540,a,4310,a(flip))]. 4313 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1974(a,1),4310(a,1,1)),flip(a)]. 4314 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4313(a,1),2542(a,1,1)),flip(a)]. 4315 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4313(a,1),2629(a,1,1))]. 4316 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4311(a,2),4052(a,1,2))]. 4317 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(65,a,2876,a(flip),b,4312,a)]. 4319 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(11(a,1),4317(a,1,1,2,1,2))]. 4320 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4317(a,1),77(a,1,2,1)),flip(a)]. 4321 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(77(a,1),4317(a,1,1,2,1)),flip(a)]. 4322 (x * x) \ L((x * x) * y,z,u) = L(y,z,u). [hyper(37,a,1301,a(flip),b,4319,a),flip(a)]. 4323 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4320(a,2),4267(a,1,2))]. 4324 L((x * x) \ y,z,u) = (x * x) \ L(y,z,u). [hyper(1302,a,4321,a)]. 4325 L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w. [para(4321(a,2),46(a,1))]. 4326 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(273(a,1),4321(a,2,1,2))]. 4327 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(479(a,1),4321(a,2,1,2))]. 4328 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(480(a,1),4321(a,2,1,2))]. 4329 L((x * x) * y,z,u) = (x * x) * L(y,z,u). [hyper(141,a,4322,a),flip(a)]. 4330 x * L((x * x) \ ((x \ 1) \ y),z,u) = x \ L(x * y,z,u). [para(4324(a,2),1199(a,1,2))]. 4331 L((x * x) * L(y,x,x),z,u) = x * (x * L(y,z,u)). [hyper(290,a,458,a(flip),b,4329,a),flip(a)]. 4332 L(x * (x * y),z,u) = x * (x * L(y,z,u)). [para(94(a,1),4331(a,1,1))]. 4333 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(65,a,1332,a(flip),b,4314,a)]. 4334 L(x \ 1,y,z) \ K(x,x \ 1) = L(1 / x,y,z) \ 1. [para(2561(a,1),4314(a,1,2))]. 4335 L(1 / x,y,z) * K(x,x \ 1) = L(x \ 1,y,z). [hyper(2590,a,4334,a)]. 4336 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4326(a,1),94(a,1,2))]. 4337 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(120,a,4327,a(flip),b,247,a),flip(a)]. 4339 x * L((x \ (x * x)) \ y,z,u) = x \ L(x * y,z,u). [para(682(a,1),4330(a,1,2,1))]. 4340 x \ L(x * y,z,u) = x * L(x \ y,z,u). [para(9(a,1),4339(a,1,2,1,1)),flip(a)]. 4341 (x \ 1) * L((x \ 1) \ y,z,u) = x * L(x \ y,z,u). [hyper(65,a,1075,a,b,4340,a)]. 4342 x * L(x \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),4340(a,1,2,1)),flip(a)]. 4343 x * L(x \ (x \ y),z,u) = x \ L(y,z,u). [para(10(a,1),4340(a,1,2,1)),flip(a)]. 4344 L(x,y,z) * (x \ 1) = x * L(x \ 1,y,z). [hyper(290,a,1201,a,b,4342,a)]. 4345 x \ (x \ L(x,y,z)) = L(x \ 1,y,z). [hyper(125,a,4342,a)]. 4346 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) \ L(L(z,y,x),u,w). [hyper(65,a,3006,a,b,4342,a)]. 4347 (1 / x) \ L(1 / x,y,z) = x \ L(x,y,z). [hyper(65,a,1076,a,b,4342,a)]. 4348 (x \ y) \ L(x \ y,z,u) = x \ (y * L(y \ x,z,u)). [hyper(65,a,1622,a(flip),b,4342,a),flip(a)]. 4349 (x \ L(x,y,z)) / x = L(1 / x,y,z). [hyper(121,a,4342,a(flip),b,628,a)]. 4350 x * (L(x \ 1,y,z) * (u * u)) = (x \ L(x,y,z)) * (u * u). [para(4342(a,1),35(a,1,1)),flip(a)]. 4351 (x \ L(x,y,z)) * (x \ 1) = L(x \ 1,y,z). [para(4342(a,1),1572(a,1,1))]. 4352 (x * y) * L((x * y) \ y,z,u) = (x \ L(x,z,u)) * y. [para(4342(a,1),1635(a,2,1))]. 4353 T(x,x \ L(x,y,z)) = x. [para(4342(a,1),1643(a,1,2))]. 4354 T(x \ L(x,y,z),x) = x \ L(x,y,z). [hyper(56,a,4353,a)]. 4355 (x \ L(x,y,z)) * x = L(x,y,z). [para(4353(a,1),213(a,1,2))]. 4356 L(x,y,z) / x = x \ L(x,y,z). [para(4353(a,1),254(a,1,2))]. 4357 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4353(a,1),225(a,1,2,1)),flip(a)]. 4358 (x \ L(x,y,z)) * (x * x) = L(x,y,z) / (1 / x). [para(4355(a,1),703(a,1,1)),flip(a)]. 4359 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(4356(a,1),241(a,1,1)),flip(b)]. 4362 L(x,y,z) / (x * x) = L(x \ 1,y,z). [hyper(1333,a,4344,a)]. 4363 L(x \ 1,y,z) * ((x \ 1) \ u) = ((x \ L(x,y,z)) * x) * (x \ u). [para(4351(a,1),2216(a,1,1))]. 4364 x * L(x \ ((x \ 1) \ y),z,u) = (x \ 1) \ L(y,z,u). [hyper(65,a,4343,a(flip),b,4341,a),flip(a)]. 4365 x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) \ L(x \ (y * x),z,u). [para(22(a,2),4348(a,1,1)),flip(a)]. 4366 L((x \ (1 * L(1 \ x,y,z))) \ u,x \ L(x \ 1,y,z),x) = L(x \ 1,y,z) \ ((x \ 1) * u). [para(4348(a,1),1269(a,1,1,1))]. 4367 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(120,a,4357,a(flip),b,1111,a)]. 4369 x * L(x \ (x * x),y,z) = (x \ 1) \ L(x,y,z). [para(435(a,1),4364(a,1,2,1,2))]. 4370 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [para(9(a,1),4369(a,1,2,1)),flip(a)]. 4372 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(65,a,4238,a(flip),b,4337,a)]. 4373 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(139,a,4372,a)]. 4374 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4372(a,1),241(a,1,1)),flip(b)]. 4376 x * L((x \ 1) * (y * y),z,u) = (x \ L(x,z,u)) * (y * y). [para(1301(a,2),4350(a,1,2))]. 4377 (x \ L(x,y,z)) * (u * u) = x * L(x \ (u * u),y,z). [para(405(a,1),4376(a,1,2,1)),flip(a)]. 4378 x * L(x \ (x * x),y,z) = L(x,y,z) / (1 / x). [hyper(65,a,4358,a(flip),b,4377,a),flip(a)]. 4379 L(x,y,z) / (1 / x) = x * L(x,y,z). [para(9(a,1),4378(a,1,2,1)),flip(a)]. 4380 L(x \ 1,y,z) / (1 / (x \ 1)) = x * ((x * x) \ L(x \ 1,y,z)). [hyper(290,a,710,a,b,4379,a),flip(a)]. 4381 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(65,a,4225,a(flip),b,4328,a),flip(a)]. 4382 x * (y \ (x / (x / y))) = (y \ x) * y. [para(161(a,1),4381(a,1,1,2)),flip(a)]. 4383 x \ (y / (y / x)) = K(x \ y,x). [hyper(36,a,278,a,b,4382,a),flip(a)]. 4384 x / (x / y) = y * K(y \ x,y). [hyper(141,a,4383,a),flip(a)]. 4385 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(65,a,4224,a,b,4383,a)]. 4386 ((x \ y) * x) / y = K(x \ y,x). [hyper(65,a,4004,a,b,4383,a)]. 4387 (x \ 1) * (y / (y / x)) = x * ((1 / x) * K(x \ y,x)). [para(4383(a,1),717(a,1,2,2)),flip(a)]. 4388 x / (x / y) = K(y \ x,y) * y. [hyper(290,a,3429,a,b,4384,a),flip(a)]. 4389 (x * K(x \ y,x)) * (y / x) = y. [hyper(139,a,4384,a)]. 4392 T(x,x \ y) * K(T(x,x \ y) \ (y / x),T(x,x \ y)) = (y / x) / ((x \ y) / x). [para(1426(a,1),4384(a,1,2)),flip(a)]. 4393 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4384(a,1),3733(a,1,1))]. 4394 K(x \ y,x) * y = (x \ y) * x. [hyper(139,a,4386,a)]. 4396 T(x,K(y \ x,y)) = x. [hyper(431,a,4394,a)]. 4397 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4394(a,1),2067(a,2,2))]. 4398 T(x * y,K(y,x)) = x * y. [para(9(a,1),4396(a,1,2,1))]. 4399 K(x,y) = (x * y) / (y * x). [para(4398(a,1),282(a,1,2)),flip(a)]. 4400 K(x,y) = T(y,x) \ y. [hyper(290,a,3529,a(flip),b,4399,a),flip(a)]. 4401 K(x,y) * (y * x) = x * y. [hyper(139,a,4399,a(flip))]. 4402 K(x,x \ y) * ((x \ y) * x) = y. [para(4399(a,2),83(a,1,1))]. 4406 K(x \ (x / y),x) = K(y \ 1,x). [hyper(290,a,3581,a,b,4400,a)]. 4407 K(x,y) = (1 / T(y,x)) * y. [hyper(290,a,3421,a,b,4400,a),flip(a)]. 4408 K(x,y) = y / T(y,x). [hyper(290,a,3414,a,b,4400,a),flip(a)]. 4409 K(x,y) = ((y * x) / y) \ x. [hyper(290,a,3392,a,b,4400,a),flip(a)]. 4410 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(290,a,3247,a,b,4400,a)]. 4411 K(x,y) = y * (T(y,x) \ 1). [hyper(290,a,1115,a,b,4400,a),flip(a)]. 4412 K(x,y) = x \ T(x,y). [hyper(290,a,3586,a(flip),b,4400,a),flip(a)]. 4413 x * T(x \ 1,y) = K(x \ 1,y). [hyper(290,a,3580,a(flip),b,4400,a)]. 4414 K(T(x,y),y) = x \ T(x,y). [hyper(290,a,3394,a(flip),b,4400,a),flip(a)]. 4415 K(x,y) / y = 1 / T(y,x). [hyper(121,a,4400,a,b,3421,a)]. 4416 (1 / T(x,y)) \ K(y,x) = x. [hyper(120,a,4400,a,b,3421,a)]. 4417 T(x,y) \ 1 = x \ K(y,x). [hyper(120,a,4400,a,b,1115,a),flip(a)]. 4418 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(120,a,4400,a,b,3580,a(flip))]. 4419 T(x,y) = x / K(y,x). [hyper(190,a,4400,a(flip)),flip(a)]. 4420 T(x,y) * K(y,x) = x. [hyper(141,a,4400,a(flip))]. 4421 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),4400(a,2,1)),flip(a)]. 4422 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),4400(a,2,1)),flip(a)]. 4423 x / K(y,x) != z | T(x,y) = z. [para(4400(a,2),300(a,1,2)),flip(b)]. 4425 ((x \ y) \ y) * K(x \ y,x) = x. [para(4400(a,2),333(a,1,2))]. 4426 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1834(a,1),4400(a,2,1))]. 4427 K(K(x,y),K(y,z)) = 1. [para(4400(a,2),3137(a,1,2))]. 4428 R(x,K(x,y),z) = x. [para(4400(a,2),3220(a,1,2))]. 4429 K(x,y) * T(y,x) = y. [para(4400(a,2),3412(a,1,1))]. 4430 T(x,y) = K(y,x) \ x. [para(4400(a,2),3415(a,1,1)),flip(a)]. 4432 K(x,y) * ((y * x) / y) = x. [para(4400(a,2),3523(a,1,1))]. 4433 (1 / x) * K(y,x) = 1 / T(x,y). [para(4400(a,2),3545(a,1,2))]. 4434 (x * y) / x = y * K(x,y). [para(4400(a,2),3590(a,2,2))]. 4435 T(x * K(y,x),y) = x. [para(4400(a,2),3680(a,1,1,2))]. 4436 K(x,y) != z | x \ T(x,y) = z. [para(4400(a,2),3621(a,1))]. 4437 x * (K(x,y) * z) = T(x,y) * z. [para(4400(a,2),3591(a,1,2,1))]. 4438 T(x,y) * (x \ z) = K(x,y) * z. [para(4400(a,2),3592(a,2,1))]. 4439 K(x / y,z) * x = y * T(y \ x,z). [para(4400(a,2),3718(a,1,1))]. 4440 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4400(a,2),3585(a,1,1)),flip(a)]. 4441 x * (T(x,y) \ z) = K(y,x) * z. [para(4400(a,2),3933(a,1,1)),flip(a)]. 4442 K(x,y) * (T(y,x) * z) = y * z. [para(4400(a,2),3934(a,1,1))]. 4443 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4400(a,2),3952(a,1,2))]. 4444 x * K(y,x) != z | (y * x) / y = z. [para(4400(a,2),3979(a,1,2))]. 4445 R(T(x,y),K(x,z),u) = T(x,y). [para(4428(a,1),27(a,2,1))]. 4446 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4428(a,1),500(a,1,1,1)),flip(a)]. 4448 K(x,y) != y / z | T(y,x) = z. [para(4408(a,2),47(a,1))]. 4449 K(x,y) \ y != z | T(y,x) = z. [para(4408(a,2),310(a,1,1))]. 4451 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4408(a,2),2473(a,1,2))]. 4452 K(K(x,1 / x) * y,z) = z / T(z,y). [para(4066(a,1),4408(a,2,2))]. 4453 T(K(x,y),x) = x \ T(x,y). [hyper(3694,a,4412,a)]. 4454 K(x,y) = ((x * y) / x) / y. [hyper(290,a,3465,a,b,4412,a),flip(a)]. 4455 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(290,a,3306,a,b,4412,a)]. 4456 (T(x,y) * z) / (x * z) = K(x,y). [hyper(290,a,3223,a,b,4412,a)]. 4457 K(x,y) = (1 / x) * T(x,y). [hyper(290,a,3205,a,b,4412,a),flip(a)]. 4458 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(290,a,3204,a,b,4412,a),flip(a)]. 4459 K(x,y) = T(x,y) / x. [hyper(290,a,3196,a,b,4412,a),flip(a)]. 4460 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(290,a,3172,a,b,4412,a)]. 4461 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(290,a,3169,a,b,4412,a)]. 4463 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(290,a,3145,a,b,4412,a)]. 4464 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(290,a,3135,a,b,4412,a),flip(a)]. 4465 K(x,y) = y \ ((x * y) / x). [hyper(290,a,3130,a,b,4412,a),flip(a)]. 4466 K(x,y) = T(x,y) * (x \ 1). [hyper(290,a,1042,a,b,4412,a),flip(a)]. 4469 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(120,a,4412,a,b,3145,a)]. 4470 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(120,a,4412,a,b,3135,a)]. 4471 T(x,y) = x * K(x,y). [hyper(141,a,4412,a(flip)),flip(a)]. 4472 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),4412(a,2,2)),flip(a)]. 4473 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),4412(a,2,2)),flip(a)]. 4474 K(x,y) != x \ z | T(x,y) = z. [para(4412(a,2),49(a,1))]. 4475 x * K(x,y) != z | T(x,y) = z. [para(4412(a,2),245(a,1,2)),flip(b)]. 4477 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4412(a,2),377(a,1,2))]. 4478 (x * (y / (z * z))) * T(z * z,u) = (x * y) * K(z * z,u). [para(4412(a,2),800(a,2,2))]. 4479 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4412(a,2),1230(a,1,1))]. 4480 T(x \ 1,K(x,y)) = x \ 1. [para(4412(a,2),1469(a,1,2))]. 4481 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1833(a,1),4412(a,2,2))]. 4482 L(x,y,K(z * z,u)) = L(x,y,T(z * z,u)). [para(4412(a,2),1838(a,1,3))]. 4483 (x * y) * ((y \ 1) * K(y,z)) = (x * (1 / y)) * T(y,z). [para(4412(a,2),2332(a,1,2,2))]. 4484 x \ T(x,y \ 1) = K(x,1 / y). [para(2635(a,1),4412(a,2,2)),flip(a)]. 4485 T(K(x,y),K(y,z)) = K(x,y). [para(4412(a,2),2779(a,1,2))]. 4487 (x * K(y,x)) * y = y * x. [para(4412(a,2),3127(a,1,1,2))]. 4488 (x \ y) * K(x,x \ y) = y / x. [para(4412(a,2),3129(a,1,2))]. 4489 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(3178(a,1),4412(a,2,2))]. 4490 L(x,K(y,z),y) = x. [para(4412(a,2),3186(a,1,2))]. 4491 T(x,y) = K(x,y) * x. [para(4412(a,2),3192(a,1,1)),flip(a)]. 4492 K(x,y) * (x * z) = T(x,y) * z. [para(4412(a,2),3191(a,1,1))]. 4493 x * (T(x,y) \ z) = K(x,y) \ z. [para(4412(a,2),3225(a,1,1)),flip(a)]. 4494 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(4412(a,2),3253(a,1,1))]. 4495 (x * y) / x = K(x,y) * y. [para(4412(a,2),3467(a,1,1)),flip(a)]. 4496 K(x,x \ y) * y = x * (y / x). [para(4412(a,2),3506(a,1,1))]. 4498 K(x,K(y,1 / y) * z) = x \ T(x,z). [para(4066(a,1),4412(a,2,2))]. 4499 a(x,K(x,y),z) = 1. [hyper(55,a,4490,a)]. 4500 T(x,y) != x / z | K(y,x) = z. [para(4419(a,2),47(a,1))]. 4501 T(x,y) \ x != z | K(y,x) = z. [para(4419(a,2),310(a,1,1))]. 4502 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4419(a,2),1489(a,1,1)),flip(a)]. 4503 (x \ y) * K(x,y / x) = y / x. [para(106(a,1),4420(a,1,1))]. 4506 ((x \ y) \ y) * K(y / x,x) = x. [para(3637(a,1),4420(a,1,1))]. 4507 x * (y * K(x,y)) = T(x,y) * y. [para(4420(a,1),3951(a,1,2)),flip(a)]. 4509 K(x,y / x) * (x \ y) = y / x. [para(106(a,1),4429(a,1,2))]. 4510 x / T(x,y) != z | K(y,x) = z. [para(4429(a,1),297(a,1,1)),flip(b)]. 4511 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4430(a,2),2864(a,1,2,1))]. 4512 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(3691,a,4435,a)]. 4513 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(424,a,4435,a)]. 4514 T(x,y) * K(y,T(x,y)) = x. [hyper(51,a,4435,a)]. 4515 x / (x / y) = y * K(x / y,y). [hyper(42,a,236,a,b,4435,a)]. 4516 T(T(x * K(y,x),z),y) = T(x,z). [para(4435(a,1),23(a,1,1)),flip(a)]. 4517 (x * K(y,x)) \ (y * x) = y. [para(4435(a,1),216(a,1,2,2))]. 4519 (x * y) / x != z | y * K(x,y) = z. [para(4435(a,1),301(a,1,1,2)),flip(b)]. 4520 T(x * K(y,x),z) * y = y * T(x,z). [para(4435(a,1),225(a,1,2,1)),flip(a)]. 4523 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4435(a,1),632(a,1,2,1)),flip(a)]. 4524 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4435(a,1),2234(a,1,2,1)),flip(a)]. 4525 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4435(a,1),2639(a,1,2)),flip(a)]. 4526 T(K(x,y) * y,x) = y. [para(3429(a,2),4435(a,1,1))]. 4527 T(x \ K(y,x \ 1),y) = x \ 1. [para(3463(a,1),4435(a,1,1))]. 4528 T(x,y * K(x,y)) = T(x,y). [para(4435(a,1),3589(a,1,2)),flip(a)]. 4529 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4435(a,1),3608(a,1,2,1)),flip(a)]. 4530 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(4435(a,1),4184(a,1,2,1,2)),flip(a)]. 4531 K(x,y) * x != z | T(x,y) = z. [para(4459(a,2),241(a,1,1)),flip(b)]. 4538 x * K(x,y * ((z \ 1) \ u)) = T(x,y * ((1 / z) \ u)). [hyper(65,a,4113,a,b,4471,a),flip(a)]. 4539 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(65,a,4056,a,b,4471,a),flip(a)]. 4541 x * K(x,(x * y) * (x \ 1)) = T(x,R(y,x,x \ 1)). [hyper(65,a,3616,a(flip),b,4471,a),flip(a)]. 4543 T(x,y) != x * z | K(x,y) = z. [para(4471(a,2),45(a,1))]. 4544 x \ T(x,y) != z | K(x,y) = z. [para(4471(a,2),307(a,1,2))]. 4545 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4471(a,2),101(a,2,1))]. 4547 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4471(a,2),459(a,2,2))]. 4548 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4471(a,2),503(a,2,2))]. 4549 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(4471(a,2),1242(a,1,2)),flip(a)]. 4550 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3255(a,1),4471(a,2,2)),flip(a)]. 4551 (x * K(x,y)) \ x = K(y,x). [para(4471(a,1),4400(a,2,1)),flip(a)]. 4552 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(824,a,4491,a),flip(a)]. 4554 K(x / y,y) * (x / y) = y \ x. [hyper(383,a,4491,a),flip(a)]. 4555 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(65,a,25,a,b,4491,a),flip(a)]. 4557 x * (K(y,x) * y) = y * x. [para(4491(a,1),104(a,1,2))]. 4560 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4491(a,2),221(a,1,1))]. 4561 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4491(a,2),463(a,1,2,2))]. 4562 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4491(a,2),865(a,1,2))]. 4563 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4491(a,2),1668(a,1,1))]. 4564 T(x,y) != z | x * K(x,y) = z. [para(4491(a,2),3264(a,1))]. 4565 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(4491(a,2),4135(a,1,2))]. 4566 K(x,x \ y) * (x \ y) = y / x. [hyper(42,a,106,a,b,4526,a),flip(a)]. 4567 x * (y * z) != z * y | K(z,y) = x. [para(4401(a,1),46(a,1)),flip(a)]. 4568 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(94(a,1),4401(a,1,2))]. 4569 K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. [para(4401(a,1),459(a,1,1)),flip(a)]. 4570 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4401(a,1),453(a,1,1))]. 4571 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4401(a,1),4167(a,1,1,1))]. 4572 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4411(a,2),18(a,2,2,2)),flip(a)]. 4573 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4411(a,2),95(a,1,2,2)),flip(a)]. 4574 ((x * y) / x) \ 1 = y \ K(y,x). [para(4411(a,2),3943(a,1,2)),flip(a)]. 4575 K(T(x,y),y) = K(x,y). [hyper(290,a,4412,a,b,4414,a),flip(a)]. 4576 x * K(T(x,y),y) = T(x,y). [hyper(141,a,4414,a(flip))]. 4577 K(x,T(y,x)) = K(x,y). [hyper(3554,a,4575,a),flip(a)]. 4578 K(x \ (y * x),x) = K(y,x). [para(22(a,1),4575(a,1,1))]. 4579 K(x / y,y) = K(y \ x,y). [para(106(a,1),4575(a,1,1)),flip(a)]. 4580 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(105(a,1),4575(a,1,1))]. 4581 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(830(a,1),4575(a,1,1)),flip(a)]. 4582 K(x,T(y,x)) != z | K(x,y) = z. [para(4575(a,1),3554(a,1))]. 4583 K(x / (x / y),y \ x) = K(y,y \ x). [para(3681(a,1),4575(a,1,1)),flip(a)]. 4584 K(x * K(y,x),y) = K(x,y). [para(4435(a,1),4575(a,1,1)),flip(a)]. 4585 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),4577(a,1,2))]. 4586 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),4577(a,1,2))]. 4587 K(x,y / x) = K(x,x \ y). [para(106(a,1),4577(a,1,2)),flip(a)]. 4588 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(105(a,1),4577(a,1,2))]. 4589 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(239(a,1),4577(a,1,2)),flip(a)]. 4591 T(x,y) = (K(y,x) / x) \ 1. [hyper(183,a,4415,a(flip)),flip(a)]. 4593 (1 / T(x,y)) * x != 1 * z | K(y,x) = z. [para(4416(a,1),349(a,2,2)),flip(a),flip(b)]. 4594 T(x,y) = 1 / (x \ K(y,x)). [hyper(190,a,4417,a),flip(a)]. 4595 x * (T(x,y) \ 1) != z | K(y,x) = z. [para(4417(a,2),245(a,1,2)),flip(b)]. 4596 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4417(a,1),300(a,1,2)),flip(b)]. 4598 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4417(a,1),2290(a,1,2,1))]. 4599 T(T(x,x \ 1),y) = (x \ K(y,x)) \ 1. [para(4417(a,1),2425(a,2,1))]. 4600 K(x,y) = x / ((y * x) / y). [hyper(136,a,4432,a),flip(a)]. 4601 K(x \ y,x) * (y / x) = x \ y. [para(10(a,1),4432(a,1,2,1))]. 4602 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(86(a,1),4432(a,1,2,1))]. 4604 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3808,a,4434,a),flip(a)]. 4605 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3347,a,4434,a)]. 4606 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(120,a,4434,a,b,1112,a)]. 4607 x \ ((y * z) / y) = x \ (z * K(y,z)). [hyper(120,a,4434,a,b,10,a)]. 4608 ((1 / x) * y) / (1 / x) = y * K(x \ 1,y). [hyper(65,a,2557,a,b,4434,a)]. 4609 T(x,y) / (y \ x) = y * K(x,y). [hyper(65,a,1144,a,b,4434,a)]. 4610 x \ T(x * y,y) = y * K(x * y,y). [hyper(65,a,3499,a(flip),b,4434,a)]. 4611 (x * x) * (y / (x * x)) = y * K(x * x,y). [hyper(65,a,798,a(flip),b,4434,a)]. 4612 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(60,a,4434,a)]. 4613 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(59,a,4434,a)]. 4614 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4434(a,1),301(a,1))]. 4615 T(x * K(y,x),y) != z | z = x. [para(4434(a,1),314(a,1,1))]. 4616 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(100(a,1),4434(a,1,1))]. 4617 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4434(a,1),101(a,1,1))]. 4618 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4434(a,2),491(a,1,2))]. 4620 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4434(a,1),692(a,1,1,1))]. 4621 T(x * K(y * x,x),y) = R(x,y,x). [para(4434(a,1),814(a,2,1)),flip(a)]. 4622 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4434(a,1),874(a,1,1))]. 4623 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4434(a,1),879(a,1,1))]. 4624 R(T(x,y * K(z,y)),y,K(z,y)) = ((z * y) / z) \ ((x * y) * K(z,y)). [para(4434(a,2),633(a,1,1)),flip(a)]. 4625 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4434(a,1),971(a,1,1,1))]. 4626 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4434(a,1),876(a,1,1))]. 4627 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1392(a,1),4434(a,1,1))]. 4628 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4434(a,1),1474(a,2,1,2))]. 4629 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1568(a,1),4434(a,1,1))]. 4630 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4434(a,1),1590(a,2,1)),flip(a)]. 4631 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1662(a,1),4434(a,1,1))]. 4632 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(2757(a,1),4434(a,1,1))]. 4633 K(x,y) = (1 / y) * ((x * y) / x). [para(4434(a,2),3458(a,1,2)),flip(a)]. 4634 T(x * K(y,x),y * x) = L(x,y,x). [para(4434(a,1),3678(a,1,1))]. 4635 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4434(a,1),4214(a,1,1,2))]. 4636 (x * K(y,x)) \ x = K(x,y). [para(4434(a,1),4409(a,2,1)),flip(a)]. 4637 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(121,a,4454,a,b,1386,a)]. 4638 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(1017(a,1),4454(a,2,1)),flip(a)]. 4639 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4457(a,2),316(a,1))]. 4640 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4465(a,2),308(a,1,2,2))]. 4642 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4465(a,2),1561(a,1,2)),flip(a)]. 4643 K(x,y) = x * (((y * x) / y) \ 1). [hyper(290,a,3719,a,b,4466,a),flip(a)]. 4644 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(120,a,4466,a,b,104,a),flip(a)]. 4645 K(1 / x,y) / x = T(1 / x,y). [hyper(334,a,4466,a(flip))]. 4646 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4466(a,2),463(a,1,2,2))]. 4647 T(x,y * x) * (x \ 1) = K(x,x * y). [para(3657(a,2),4466(a,2,1)),flip(a)]. 4648 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(4480(a,1),356(a,2,1))]. 4649 T(K(x,y),K(z,x)) = K(x,y). [hyper(56,a,4485,a)]. 4650 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(4485(a,1),51(a,1)),flip(a)]. 4651 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(4485(a,1),104(a,1,2))]. 4653 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(4485(a,1),268(a,1,2))]. 4654 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(4485(a,1),225(a,1,2,1)),flip(a)]. 4655 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(4485(a,1),226(a,1,2,1)),flip(a)]. 4656 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(4485(a,1),227(a,1,2,1)),flip(a)]. 4657 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(4485(a,1),379(a,1,2,1))]. 4658 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(37,a,1670,a,b,4487,a),flip(a)]. 4659 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4487(a,1),86(a,1,1))]. 4660 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4487(a,1),509(a,1,1,1))]. 4661 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3463(a,1),4487(a,1,1))]. 4662 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4487(a,1),4215(a,1,2)),flip(a)]. 4663 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4487(a,1),4248(a,1,1,2))]. 4665 ((x * y) / x) / y != z | K(x,y) = z. [para(4495(a,2),297(a,1,1)),flip(b)]. 4667 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1542,a,4517,a)]. 4668 x * K(x / y,y) = (y \ x) * y. [para(4579(a,2),278(a,1,2))]. 4671 x \ (y * (x / y)) = K(y,y \ x). [hyper(65,a,92,a,b,4587,a)]. 4672 x * K(y,y \ x) = y * (x / y). [para(4587(a,1),279(a,1,2))]. 4675 x / R(x,x,x) = K(x,x * x). [para(20(a,2),4600(a,2,2)),flip(a)]. 4676 x / (y / (y / x)) = K(x,x \ y). [para(3679(a,1),4600(a,2,2)),flip(a)]. 4677 x / (x * K(y,x)) = K(x,y). [para(4434(a,1),4600(a,2,2)),flip(a)]. 4678 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(4649(a,1),51(a,1)),flip(a)]. 4679 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(4649(a,1),231(a,1,2))]. 4680 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(4649(a,1),268(a,1,2))]. 4681 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(4649(a,1),226(a,1,2,1)),flip(a)]. 4682 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(4649(a,1),227(a,1,2,1)),flip(a)]. 4683 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(4649(a,1),380(a,1,2,1))]. 4684 K(x,y) \ x = x * K(y,x). [hyper(183,a,4677,a)]. 4685 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(4684(a,1),96(a,1,1))]. 4686 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4445(a,1),501(a,1,1,1)),flip(a)]. 4687 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3255(a,1),4475(a,1,2))]. 4688 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(25(a,2),4501(a,1,1))]. 4689 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(27(a,2),4501(a,1,1))]. 4691 ((x * y) / x) \ y != z | K(y,x) = z. [para(3392(a,2),4501(a,1))]. 4692 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3580(a,1),4501(a,1))]. 4693 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(3581(a,2),4501(a,1))]. 4694 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),4544(a,1,2))]. 4696 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(744(a,2),4544(a,1,2))]. 4697 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(1042(a,2),4544(a,1))]. 4698 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3306(a,2),4544(a,1))]. 4699 T(K(x,y),x) != z | K(x,y) = z. [para(4453(a,2),4544(a,1))]. 4701 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),4582(a,1,2))]. 4704 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1289(a,1),4582(a,1,2))]. 4705 x / L(x,x,x) = K(x,x * x). [para(3752(a,1),4675(a,1,2))]. 4706 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3096(a,1),4699(a,1))]. 4707 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2817,a,4406,a)]. 4708 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(65,a,1360,a(flip),b,4406,a)]. 4709 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(65,a,1348,a(flip),b,4406,a)]. 4710 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4406(a,1),1347(a,2,2))]. 4711 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4406(a,1),1359(a,1,1))]. 4712 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [para(4406(a,1),1716(a,1,2))]. 4713 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(956,a,4413,a)]. 4714 T(1 / x,y) * x = K(x \ 1,y). [hyper(421,a,4413,a)]. 4715 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(120,a,4413,a(flip),b,945,a(flip))]. 4717 L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x). [para(4413(a,1),624(a,1,2)),flip(a)]. 4719 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4413(a,1),1224(a,1,1))]. 4720 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4413(a,1),1467(a,2,1))]. 4721 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4413(a,1),1619(a,2,2))]. 4724 x \ (T(x,y) * z) = K(x,y) * z. [hyper(125,a,4437,a)]. 4725 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(120,a,4466,a,b,4437,a),flip(a)]. 4726 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(120,a,10,a(flip),b,4437,a),flip(a)]. 4727 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(36,a,3719,a,b,4437,a)]. 4728 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(36,a,1119,a,b,4437,a),flip(a)]. 4729 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(36,a,3775,a(flip),b,4437,a),flip(a)]. 4730 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(36,a,3773,a(flip),b,4437,a),flip(a)]. 4731 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(36,a,3757,a(flip),b,4437,a),flip(a)]. 4732 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4437(a,1),14(a,2,2,1)),flip(a)]. 4734 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(104(a,1),4437(a,1,2)),flip(a)]. 4735 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4437(a,1),307(a,1,2))]. 4736 K(x,y) \ (y * z) = T(y,x) * z. [hyper(3956,a,4438,a)]. 4737 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1137,a,4438,a)]. 4738 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(290,a,3267,a,b,4438,a),flip(a)]. 4739 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(125,a,4438,a)]. 4740 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(65,a,4437,a,b,4438,a)]. 4741 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(65,a,3764,a,b,4438,a)]. 4742 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(65,a,4357,a(flip),b,4438,a)]. 4744 (x * y) / (T(x,z) * y) = K(z,x). [hyper(121,a,3946,a(flip),b,4438,a(flip))]. 4745 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(120,a,4438,a(flip),b,4437,a)]. 4746 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(120,a,4438,a(flip),b,3940,a(flip))]. 4748 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(18(a,2),4438(a,1,2)),flip(a)]. 4750 T(x,y) * ((1 / x) \ z) = K(x,y) * ((x * x) * z). [para(676(a,1),4438(a,1,2))]. 4751 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4412(a,2),4438(a,1,2)),flip(a)]. 4752 K(x,y) * ((z * x) / z) = T(x,y) * K(z,x). [para(4465(a,2),4438(a,1,2)),flip(a)]. 4753 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(65,a,3978,a,b,4441,a)]. 4754 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(65,a,3977,a,b,4441,a)]. 4755 T(x,y) \ (x * z) = K(y,x) * z. [hyper(65,a,1114,a,b,4441,a)]. 4756 K(x,y) * (1 / y) = 1 / T(y,x). [hyper(65,a,3504,a(flip),b,4441,a),flip(a)]. 4757 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(121,a,4069,a(flip),b,4441,a(flip)),flip(a)]. 4760 T(x,y) * (K(y,x) * z) = x * z. [para(4441(a,1),1112(a,1,2))]. 4761 L(x,y,z * (T(z \ 1,u) \ w)) = L(x,y,K(u,z \ 1) * w). [para(4441(a,1),1858(a,1,3)),flip(a)]. 4762 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4412(a,2),4441(a,1,2)),flip(a)]. 4764 K(x,y / x) * ((x \ y) * z) = (y / x) * z. [para(106(a,1),4442(a,1,2,1))]. 4767 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4442(a,1),308(a,1))]. 4768 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(290,a,4417,a(flip),b,4443,a),flip(a)]. 4769 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(121,a,4443,a(flip),b,186,a(flip))]. 4770 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4456(a,1),241(a,1,1)),flip(b)]. 4772 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(334,a,4464,a(flip))]. 4773 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1418(a,1),4464(a,2,1)),flip(a)]. 4775 K(x,1 / y) = K(x,y \ 1). [hyper(4544,a,4484,a),flip(a)]. 4776 K(x,(x / y) / x) = K(x,1 / y). [hyper(3153,a,4484,a)]. 4777 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(65,a,3151,a,b,4484,a)]. 4779 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(120,a,4484,a(flip),b,3145,a)]. 4780 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4484(a,1),4544(a,1))]. 4782 K(x,(y \ 1) \ 1) = K(x,y). [para(78(a,1),4775(a,1,2)),flip(a)]. 4783 K(x,1 / (1 / y)) = K(x,y). [para(81(a,1),4775(a,2,2))]. 4784 K(x,T(y,1 / y)) = K(x,y). [para(1786(a,2),4782(a,1,2))]. 4785 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2430(a,1),4782(a,1,2)),flip(a)]. 4787 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2801(a,2),4782(a,1,2))]. 4788 K(x,L(1 / y,z,u)) = K(x,L(y \ 1,z,u)). [para(3022(a,1),4782(a,1,2)),flip(a)]. 4791 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2472(a,1),4783(a,1,2))]. 4792 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(3049(a,2),4783(a,1,2))]. 4793 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(3026(a,1),4783(a,1,2))]. 4794 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(4783(a,1),4419(a,2,2)),flip(a)]. 4796 T(x \ y,R(y / x,z,u)) = x \ y. [para(4488(a,1),3850(a,1,2,1))]. 4799 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(120,a,104,a(flip),b,4492,a)]. 4800 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(27(a,2),4492(a,2,1))]. 4801 K(x,y) * ((x * x) * z) = (T(x,y) * x) * z. [para(4492(a,1),34(a,1,1)),flip(a)]. 4802 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4492(a,1),308(a,1))]. 4803 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(227(a,1),4492(a,1,2))]. 4805 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4492(a,1),453(a,1,1))]. 4806 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4492(a,1),482(a,1,2))]. 4807 T(T(x,x \ 1),y) * ((1 / x) * z) = K(T(x,x \ 1),y) * L(z,x,x). [para(2665(a,1),4492(a,1,2)),flip(a)]. 4808 K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z. [para(4575(a,1),4492(a,1,1))]. 4809 K(x,y) * (T(x,z) * u) = T(x,y) * (K(x,z) * u). [para(4437(a,1),4492(a,1,2))]. 4810 K(x,y) \ 1 = K(y,x). [hyper(65,a,4411,a,b,4493,a),flip(a)]. 4811 K(x,y) \ z = K(y,x) * z. [hyper(65,a,4441,a(flip),b,4493,a),flip(a)]. 4813 K(T(x,y),y) \ 1 = K(y,x). [hyper(290,a,4577,a(flip),b,4810,a),flip(a)]. 4814 1 / K(x,y) = K(y,x). [hyper(190,a,4810,a)]. 4815 K(x,y) * K(y,x) = 1. [hyper(141,a,4810,a)]. 4816 x * (K(y,z) * K(z,y)) = x. [para(4810(a,1),72(a,1,2,2))]. 4817 x * K(y,z) != 1 | K(z,y) = x. [para(4810(a,1),135(a,1,2)),flip(b)]. 4818 1 / K(x,y) != z | K(y,x) = z. [para(4810(a,1),300(a,1,2)),flip(b)]. 4819 x * (K(y,z) * K(z,y)) != u | x = u. [para(4810(a,1),200(a,1,2,2))]. 4823 L(x,y,K(z,u)) = L(x,y,K(u,z)). [para(4810(a,1),1846(a,1,3))]. 4824 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(4810(a,1),2057(a,2,2,1))]. 4825 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(4810(a,1),2082(a,1,1,2,2,1)),flip(a)]. 4826 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(4810(a,1),2243(a,2,1,2,1))]. 4827 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4810(a,1),4466(a,2,2)),flip(a)]. 4828 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4810(a,2),4582(a,1))]. 4829 (K(x,y) \ 1) \ 1 = K(x,y). [para(4810(a,2),4810(a,1,1))]. 4831 K(x,y) \ 1 != z | K(y,x) = z. [para(4814(a,1),310(a,1,1))]. 4832 1 / (1 / K(x,y)) = K(x,y). [para(4814(a,2),4814(a,1,2))]. 4833 K(x,y) * z != 1 | K(y,x) = z. [para(4815(a,1),45(a,1)),flip(a)]. 4834 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(743,a,4811,a),flip(a)]. 4835 x / (K(y,z) * x) = K(z,y). [hyper(537,a,4811,a)]. 4836 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(311,a,4811,a),flip(a)]. 4837 K(x,y) * (K(y,x) * z) = z. [hyper(309,a,4811,a)]. 4838 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(290,a,3441,a,b,4811,a),flip(a)]. 4839 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(120,a,4811,a,b,104,a)]. 4840 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(65,a,2188,a(flip),b,4811,a),flip(a)]. 4841 x * (K(y,z) * u) != u | K(z,y) = x. [para(4811(a,1),135(a,1,2)),flip(b)]. 4842 K(x,y) * z != u | K(y,x) * u = z. [para(4811(a,1),141(a,1))]. 4843 K(x,y) * (K(y,x) * z) != u | u = z. [para(4811(a,1),245(a,1,2))]. 4844 K(x,y) * (K(y,x) * z) != u | z = u. [para(4811(a,1),246(a,1,2))]. 4845 x / (K(y,z) * x) != u | K(z,y) = u. [para(4811(a,1),300(a,1,2)),flip(b)]. 4846 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(4811(a,1),273(a,1,1,2))]. 4847 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(4811(a,1),273(a,1,1))]. 4849 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(4811(a,1),588(a,1,2))]. 4850 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4811(a,1),331(a,1,1,3))]. 4851 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(4811(a,1),1770(a,1,1))]. 4852 (K(x,y) \ 1) \ z = K(x,y) * z. [para(4810(a,2),4811(a,1,1))]. 4853 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(121,a,4816,a(flip),b,100,a(flip))]. 4854 K(x,y) != z / u | K(y,x) * z = u. [para(4835(a,1),47(a,1))]. 4855 K(x,y) \ z != u | K(y,x) * z = u. [para(4835(a,1),310(a,1,1))]. 4856 K(x,y) != z | K(y,x) \ 1 = z. [para(4835(a,1),252(a,1)),flip(b)]. 4857 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3436(a,2),4835(a,1,2))]. 4858 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(4837(a,1),100(a,1,2))]. 4859 K(x \ y,x) * (x * (y / x)) = y. [hyper(36,a,4837,a,b,4496,a)]. 4860 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4506(a,1),4263(a,1,1)),flip(a)]. 4861 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4507(a,1),20(a,2,2)),flip(a)]. 4862 L((x * K(y,x)) \ z,x * K(y,x),y) = (T(y,x) * x) \ (y * z). [para(4507(a,1),96(a,2,1))]. 4863 R(x,y * K(x,y),(y * K(x,y)) \ 1) = (T(x,y) * y) * ((y * K(x,y)) \ 1). [para(4507(a,1),251(a,1,1)),flip(a)]. 4864 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4515(a,2),1540(a,1,2)),flip(a)]. 4865 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(424,a,4516,a)]. 4866 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(42,a,4435,a,b,4516,a)]. 4867 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(42,a,3681,a,b,4516,a),flip(a)]. 4868 ((1 / x) * y) \ K((1 / x) * y,x) = L(y / x,x,x) \ 1. [para(891(a,1),4574(a,1,1)),flip(a)]. 4869 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4574(a,1),2443(a,1,2))]. 4870 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4434(a,1),4574(a,1,1))]. 4872 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4643(a,2),1235(a,2,2))]. 4874 (x \ y) * x != y * z | K(y / x,x) = z. [para(4668(a,1),45(a,1))]. 4875 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(65,a,3287,a,b,4671,a)]. 4877 T(x,K(y,y \ x)) = x. [hyper(229,a,4672,a,b,4496,a)]. 4878 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4672(a,1),18(a,2,1)),flip(a)]. 4880 x \ (y * (x / y)) != z | K(y,y \ x) = z. [para(4672(a,1),307(a,1,2))]. 4881 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(4672(a,1),490(a,1,2))]. 4882 a(x,y * (1 / K(z,z \ y)),u) = a(x,z * (y / z),u). [para(4672(a,1),2917(a,2,2))]. 4883 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(121,a,590,a(flip),b,4714,a),flip(a)]. 4884 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(65,a,286,a(flip),b,4714,a),flip(a)]. 4885 K(x \ 1,y) * ((x \ 1) * (x \ z)) = ((1 / x) * T(1 / x,y)) * z. [para(4714(a,1),2337(a,1,1))]. 4886 x \ y != K(x,z) * u | T(x,z) * u = y. [para(4724(a,1),49(a,1)),flip(a)]. 4887 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4724(a,1),245(a,1,2)),flip(b)]. 4888 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(4725(a,1),4835(a,1,2))]. 4889 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(36,a,4837,a,b,4726,a)]. 4890 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4726(a,1),45(a,1))]. 4891 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(105(a,1),4726(a,1,2,1))]. 4892 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),4737(a,1,2,1))]. 4893 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(3795,a,4739,a),flip(a)]. 4894 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(27(a,2),4744(a,1,2,1))]. 4895 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(40,a,3967,a,b,4746,a),flip(a)]. 4896 (x * y) / (K(z,x) * y) = T(x,z). [hyper(190,a,4755,a)]. 4898 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(25(a,2),4755(a,1,1))]. 4899 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(4755(a,1),245(a,1,2)),flip(b)]. 4900 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(4755(a,1),300(a,1,2)),flip(b)]. 4902 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4755(a,1),1130(a,1))]. 4903 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4420(a,1),4755(a,1,2)),flip(a)]. 4904 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4471(a,2),4755(a,1,2))]. 4905 K(x,y) * (y * z) = y * (K(x,y) * z). [para(4755(a,1),4441(a,1,2)),flip(a)]. 4906 T(x,y) * (1 / y) = x * (1 / T(y,x)). [para(4756(a,1),4437(a,1,2)),flip(a)]. 4907 K(x,y) * (x / y) = x / T(y,x). [hyper(3782,a,4760,a),flip(a)]. 4908 K(x,y) * (x / y) = T(x,y) / y. [hyper(3780,a,4760,a),flip(a)]. 4909 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1181,a,4760,a),flip(a)]. 4910 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(290,a,4672,a(flip),b,4760,a),flip(a)]. 4912 (x * T(y,z)) * ((K(z,y) * K(z,y)) * u) = (x * (y * K(z,y))) * u. [para(4760(a,1),118(a,1,1,2)),flip(a)]. 4913 a(x * K(y,x),z,u) = a(T(x,y),z,u). [para(4760(a,1),2175(a,1,1))]. 4914 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(4768(a,1),20(a,2,2)),flip(a)]. 4915 K(x,1 / (y \ x)) = K(x,y / x). [para(78(a,1),4776(a,1,2,1)),flip(a)]. 4916 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(4776(a,1),279(a,1,2))]. 4917 L(x,y,K(z,y)) = x. [hyper(3388,a,4823,a),flip(a)]. 4918 L(x,y,K(z,y)) != u | x = u. [para(4823(a,1),3388(a,1))]. 4919 a(K(x,y),y,z) = 1. [hyper(55,a,4917,a)]. 4920 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(4839(a,1),1642(a,1,2,2,1))]. 4921 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(4839(a,1),1679(a,1,2,2,1))]. 4922 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [hyper(229,a,9,a(flip),b,4852,a(flip)),flip(a)]. 4923 (K(x,y) * z) \ (K(x,y) * (K(x,y) * u)) = ((K(x,y) \ 1) * z) \ u. [para(4852(a,1),1887(a,1,2,2))]. 4924 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [para(4869(a,1),254(a,1,2))]. 4925 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(4869(a,1),225(a,1,2,1))]. 4926 1 / (x \ K(x,y)) = x * K(y,x). [hyper(190,a,4870,a)]. 4927 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4870(a,1),3815(a,2,2,2))]. 4929 K(x,y) * (y \ x) = y \ T(x,y). [hyper(290,a,3604,a(flip),b,4889,a),flip(a)]. 4931 K(x,y \ 1) * (y * y) = T(y \ 1,x) \ y. [para(435(a,1),4889(a,1,2))]. 4933 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(4577(a,1),4889(a,1,1))]. 4936 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(4907(a,1),94(a,1,1))]. 4937 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(4907(a,1),179(a,1,2,1))]. 4938 1 / x != y * K(z,y) | y \ K(y,z) = x. [para(4926(a,1),47(a,1)),flip(a)]. 4939 (x * x) * (y / (x * x)) != z | y * K(x * x,y) = z. [para(623(a,1),4519(a,1))]. 4941 T(T(x,y) * K(y * y,T(x,y)),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(809(a,2),4634(a,1,2))]. 4943 K(x \ 1,y) != z | K(1 / x,y) = z. [para(81(a,1),4706(a,1,1,1))]. 4944 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2568(a,1),4706(a,1,1))]. 4945 K(T(x \ y,y \ x),z) != u | K(x \ y,z) = u. [para(2790(a,2),4706(a,1,1))]. 4946 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3439,a,4730,a)]. 4947 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(120,a,4730,a(flip),b,3436,a),flip(a)]. 4949 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3439,a,4731,a)]. 4950 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(78(a,1),4780(a,1,2))]. 4951 K(x,y) * z != u | K(y,x) \ z = u. [para(10(a,1),4843(a,1,2)),flip(b)]. 4955 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4726(a,1),4843(a,1,2)),flip(b)]. 4956 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(4725(a,1),4845(a,1,2))]. 4957 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(22(a,2),4855(a,1))]. 4961 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1833(a,1),4946(a,1,1))]. 4962 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(4947(a,2),245(a,1,2)),flip(b)]. 4964 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(120,a,4949,a(flip),b,4437,a),flip(a)]. 4965 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(4949(a,1),18(a,2,2,2)),flip(a)]. 4966 T(x,y) != z | K(y,x) \ x = z. [para(4491(a,2),4951(a,1))]. 4967 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(4410(a,1),2986(a,2,1,2,1))]. 4968 K((1 / x) \ y,y) = K(y * x,y). [hyper(290,a,4400,a,b,4426,a),flip(a)]. 4969 K(x * (y \ 1),x) = K(y \ x,x). [para(78(a,1),4968(a,1,1,1)),flip(a)]. 4970 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4574(a,1),4969(a,1,1,2)),flip(a)]. 4971 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(4439(a,1),46(a,1))]. 4972 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(78(a,1),4439(a,1,1,1)),flip(a)]. 4973 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4439(a,1),230(a,2)),flip(a)]. 4974 x / (y * T(y \ x,z)) = K(z,x / y). [para(4439(a,1),4835(a,1,2))]. 4975 x / (y * T(y \ x,z)) != u | K(z,x / y) = u. [para(4439(a,1),4845(a,1,2))]. 4976 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [hyper(190,a,4451,a)]. 4977 K(K(x,1 / x) * y,z) = K(y,z). [hyper(290,a,4408,a,b,4452,a),flip(a)]. 4978 K(K(x \ 1,x) * y,z) = K(y,z). [para(78(a,1),4977(a,1,1,1,2))]. 4979 K(K(x,x \ 1) * y,z) = K(y,z). [para(1792(a,1),4977(a,1,1,1))]. 4981 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(1917(a,1),4978(a,1,1)),flip(a)]. 4982 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(1945(a,1),4978(a,1,1))]. 4984 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2502(a,1),4978(a,1,1)),flip(a)]. 4985 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2548(a,1),4978(a,1,1))]. 4986 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(2624(a,1),4978(a,1,1))]. 4987 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4117(a,2),4978(a,1,1))]. 4988 K(T(K(x,x \ 1) * y,z),u) = K(T(y,z),u). [para(4161(a,1),4978(a,1,1)),flip(a)]. 4989 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4138(a,1),4978(a,1,1))]. 4990 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(4241(a,2),4978(a,1,1))]. 4991 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2598(a,1),4979(a,1,1)),flip(a)]. 4992 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(3068(a,1),4979(a,1,1))]. 4994 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4116(a,2),4979(a,1,1))]. 4995 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4134(a,2),4979(a,1,1))]. 4996 K(x * ((1 / y) \ z),u) = K(x * ((y \ 1) \ z),u). [para(4127(a,1),4979(a,1,1)),flip(a)]. 4997 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4128(a,1),4979(a,1,1))]. 4998 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4458(a,2),1462(a,2,1))]. 4999 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(2729,a,4463,a)]. 5000 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(65,a,2774,a(flip),b,4463,a)]. 5002 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(121,a,4463,a(flip),b,903,a)]. 5003 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(4463(a,1),20(a,2,2)),flip(a)]. 5004 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4463(a,1),1275(a,2,2))]. 5005 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4463(a,1),2076(a,1,2))]. 5006 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4463(a,1),2402(a,2,1))]. 5007 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4463(a,1),3919(a,1,1))]. 5010 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1318(a,1),4469(a,2,1))]. 5011 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(290,a,4412,a,b,4481,a),flip(a)]. 5013 K(x,K(y,1 / y) * z) = K(x,z). [hyper(290,a,4412,a,b,4498,a),flip(a)]. 5014 K(x,K(y \ 1,y) * z) = K(x,z). [para(78(a,1),5013(a,1,2,1,2))]. 5015 K(x,K(y,y \ 1) * z) = K(x,z). [para(1792(a,1),5013(a,1,2,1))]. 5016 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(1867(a,1),5013(a,1,2))]. 5017 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(1953(a,1),5013(a,1,2))]. 5018 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2521(a,1),5013(a,1,2))]. 5019 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4105(a,1),5013(a,1,2))]. 5020 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(464(a,1),5014(a,1,2))]. 5021 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(1917(a,1),5014(a,1,2)),flip(a)]. 5022 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(1921(a,1),5014(a,1,2)),flip(a)]. 5023 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(1939(a,1),5014(a,1,2))]. 5024 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(1945(a,1),5014(a,1,2))]. 5026 K(x,(1 / (1 / y)) * z) = K(x,y * z). [para(2005(a,1),5014(a,1,2))]. 5027 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2502(a,1),5014(a,1,2)),flip(a)]. 5028 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(3072(a,1),5014(a,1,2)),flip(a)]. 5029 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4117(a,2),5014(a,1,2))]. 5030 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4138(a,1),5014(a,1,2))]. 5031 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4241(a,2),5014(a,1,2))]. 5032 K(x,y / (1 / z)) = K(x,y / (z \ 1)). [para(2598(a,1),5015(a,1,2)),flip(a)]. 5033 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(3068(a,1),5015(a,1,2))]. 5034 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4098(a,1),5015(a,1,2))]. 5035 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4210(a,2),5015(a,1,2))]. 5036 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4127(a,1),5015(a,1,2)),flip(a)]. 5037 K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). [para(4128(a,1),5015(a,1,2))]. 5038 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(4512(a,1),1385(a,1,2)),flip(a)]. 5039 T(x * K(x * y,x),y) = R(x,y,x). [hyper(37,a,3620,a,b,4520,a),flip(a)]. 5040 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(37,a,1670,a,b,4520,a),flip(a)]. 5041 x \ T(x * y,y) = y * K(y * x,y). [hyper(3542,a,5039,a)]. 5042 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5039(a,1),23(a,1,1)),flip(a)]. 5043 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(1850(a,1),4586(a,1,2))]. 5044 x * (y * K(x * y,y)) = T(x * y,y). [hyper(141,a,4610,a)]. 5045 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(4610(a,2),45(a,1))]. 5046 T(x * K(y * x,x),y) != z | R(x,y,x) = z. [para(4610(a,1),4190(a,1,1))]. 5047 K(x,y * x) = K(x,x * y). [hyper(4697,a,4647,a)]. 5049 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(86(a,1),5047(a,2,2))]. 5051 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(4651(a,1),4437(a,1,2))]. 5052 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(10(a,1),4727(a,1,1,1)),flip(a)]. 5053 (x / (x / y)) \ z = K(y,x / y) * (y \ z) # label(flip_matches_hint). [para(12(a,1),4727(a,1,1,1))]. 5054 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4434(a,1),4727(a,1,1))]. 5055 K(x \ 1,y) * ((x \ 1) \ z) = (x \ K(y,x \ 1)) \ z. [para(4469(a,2),4727(a,1,1)),flip(a)]. 5056 x \ (y * K(x,y)) = K(x,y) * (x \ y). [hyper(120,a,3429,a(flip),b,4740,a)]. 5058 x \ y != K(x,z) * (x \ u) | K(x,z) * u = y. [para(4745(a,1),49(a,1)),flip(a)]. 5059 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(290,a,3265,a(flip),b,4751,a)]. 5061 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4751(a,2),3275(a,1))]. 5062 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(4751(a,2),3277(a,1))]. 5064 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(141,a,4754,a),flip(a)]. 5065 x \ ((x * K(y,x)) * z) = K(y,x) * z. [para(4434(a,1),4754(a,1,2,1))]. 5066 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(4775(a,1),4769(a,1,2))]. 5067 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(290,a,4434,a(flip),b,4772,a)]. 5068 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(290,a,3257,a(flip),b,4857,a),flip(a)]. 5069 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(141,a,4864,a(flip))]. 5070 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(10(a,1),4895(a,2,1,1))]. 5071 K(x \ y,x) * (x * z) = (y / (y / x)) * z. [para(3679(a,1),4895(a,2,1))]. 5072 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(290,a,4651,a,b,4904,a),flip(a)]. 5073 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4905(a,1),100(a,2,1))]. 5074 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4905(a,1),308(a,1))]. 5076 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4905(a,1),453(a,1,1))]. 5077 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(4441(a,1),4905(a,1,2)),flip(a)]. 5078 L((1 / T(x,y)) \ z,1 / T(x,y),y) = (T(y,x) * (1 / x)) \ (y * z). [para(4906(a,2),96(a,2,1))]. 5079 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(1033(a,1),4909(a,1,2))]. 5080 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(320(a,2),4909(a,1,2,2,1))]. 5081 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(696,a,4924,a)]. 5082 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1489(a,1),4974(a,1,2))]. 5083 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1502(a,1),4974(a,1,2))]. 5084 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4415(a,2),4976(a,1,2))]. 5085 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2451(a,2),4992(a,1,1,2))]. 5086 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [hyper(290,a,4434,a(flip),b,5002,a)]. 5087 T(K(x,y \ 1) / y,x) = 1 / y. [para(5002(a,2),214(a,1,1))]. 5089 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5002(a,2),814(a,2,1)),flip(a)]. 5090 K(x,y / L(1 / z,u,w)) = K(x,y / L(z \ 1,u,w)). [para(3020(a,1),5018(a,1,2,2))]. 5091 K(x,L(1 / y,z,u) * w) = K(x,L(y \ 1,z,u) * w). [para(3022(a,1),5021(a,1,2,1)),flip(a)]. 5092 K(x,L(1 / y,z,u) \ w) = K(x,L(y \ 1,z,u) \ w). [para(3022(a,1),5023(a,1,2,1)),flip(a)]. 5093 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(65,a,5011,a(flip),b,5033,a)]. 5094 K(x * y,y) = K(y * x,y). [hyper(36,a,4610,a(flip),b,5041,a(flip))]. 5095 K(x * (y / x),x) = K(y,x). [para(12(a,1),5094(a,1,1)),flip(a)]. 5097 (x * K(y,x)) \ ((x * x) * z) = K(x,y) * ((1 / x) \ z). [para(676(a,1),5054(a,2,2))]. 5099 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(290,a,5054,a,b,5056,a)]. 5100 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(4842,a,5059,a)]. 5101 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(65,a,4613,a(flip),b,5064,a)]. 5102 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(10(a,1),5064(a,1,1,1)),flip(a)]. 5103 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5064(a,1),878(a,1,1))]. 5104 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3679(a,1),5064(a,1,1))]. 5105 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(4907(a,1),5064(a,2,2))]. 5106 L(x,K(y,z),z) = x. [hyper(557,a,5065,a),flip(a)]. 5107 R(x,K(y,x),z) = x. [hyper(506,a,5065,a)]. 5108 L(x,K(y,z \ 1),1 / z) = x. [hyper(2839,a,5106,a)]. 5109 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5106(a,1),271(a,1,2))]. 5112 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5107(a,1),499(a,1,1,1)),flip(a)]. 5113 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5107(a,1),501(a,1,1,1)),flip(a)]. 5114 L(x,K(y,z \ 1),1 / z) != u | x = u. [para(5108(a,1),52(a,2))]. 5115 T(1 / x,y) \ 1 = x * K(y,x \ 1). [hyper(139,a,5066,a),flip(a)]. 5116 (K(x,y) * K(z,x)) / (u * u) = T(x,z) \ (T(x,y) / (u * u)). [para(5072(a,1),2352(a,1,1))]. 5117 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3681(a,1),5072(a,1,2)),flip(a)]. 5118 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5101(a,1),18(a,2,1)),flip(a)]. 5124 T(1 / x,y) * x != z | K(x \ 1,y) = z. [para(417(a,2),4692(a,1))]. 5125 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2810(a,1),4692(a,1))]. 5127 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(4949(a,1),4735(a,1,2))]. 5129 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(3942(a,2),4767(a,1))]. 5133 K(x,y) * ((x \ 1) * z) != u | T(x,y) * ((x * x) \ z) = u. [para(710(a,1),4770(a,1,2))]. 5136 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(22(a,2),4802(a,1,2))]. 5137 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(3764(a,2),4802(a,1))]. 5140 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4746(a,1),4802(a,1,2))]. 5142 T(x,y) \ T(z * (x / z),y) != u | K(z,z \ T(x,y)) = u. [para(4145(a,2),4880(a,1,2))]. 5147 K(x,y \ 1) * (y * y) != z | T(y \ 1,x) \ y = z. [para(435(a,1),4955(a,1,2))]. 5148 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(65,a,4651,a(flip),b,4964,a)]. 5149 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5094(a,2),4964(a,1,2))]. 5151 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(10(a,1),5148(a,1,1,1)),flip(a)]. 5152 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5094(a,2),5148(a,1,1))]. 5153 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(4693,a,4440,a)]. 5154 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(81(a,1),5153(a,2,1,1))]. 5155 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [para(5153(a,2),104(a,1,2))]. 5156 x * K(T(y,x) \ 1,z) != u * x | K(y \ 1,z) = u. [para(5153(a,2),231(a,1,2))]. 5157 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3257(a,1),5153(a,2,1))]. 5158 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2426(a,1),5154(a,1,1))]. 5159 K(x * K(y,x \ 1),z) = T(K(x,z),y). [para(5115(a,1),5154(a,1,1))]. 5160 T(x,y) != K(1 / T(z,y),u) | K(1 / z,u) = x. [para(5158(a,2),51(a,1)),flip(a)]. 5161 K(x,y * K(z,y \ 1)) = T(K(y,x),z) \ 1. [para(5159(a,1),4810(a,1,1)),flip(a)]. 5162 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4412(a,2),4461(a,1,1)),flip(a)]. 5164 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(4484(a,1),4461(a,1,1)),flip(a)]. 5165 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(290,a,2489,a(flip),b,5162,a),flip(a)]. 5166 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(81(a,1),5162(a,2,1,2))]. 5167 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5162(a,2),104(a,1,2))]. 5168 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4782(a,1),5162(a,2,1))]. 5169 K(x,x \ K(y,x)) = K(x,x \ 1). [para(4417(a,1),5165(a,1,2))]. 5170 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(5169(a,1),4672(a,1,2))]. 5171 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(65,a,4775,a,b,5164,a)]. 5172 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(65,a,4775,a,b,5166,a)]. 5173 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5166(a,1),3280(a,1,2,1))]. 5174 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5115(a,1),5166(a,1,2))]. 5175 T(x,y) != K(z,1 / T(u,y)) | K(z,1 / u) = x. [para(5171(a,2),51(a,1)),flip(a)]. 5178 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(120,a,4865,a(flip),b,4513,a(flip))]. 5179 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4539(a,1),4475(a,1))]. 5180 ((1 / x) * y) / (1 / x) != z | ((x \ 1) * y) / (x \ 1) = z. [para(4608(a,2),4444(a,1))]. 5181 T(x,y \ (y \ 1)) = x * K(y * y,x). [hyper(65,a,1002,a(flip),b,4611,a)]. 5182 K(x,y \ (y \ 1)) = K(y * y,x). [hyper(4543,a,5181,a)]. 5183 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(290,a,4434,a(flip),b,4622,a)]. 5184 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(121,a,4622,a,b,4495,a(flip))]. 5185 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4622(a,2),4600(a,2,2)),flip(a)]. 5186 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4622(a,2),4665(a,1,1))]. 5187 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(290,a,4434,a(flip),b,4623,a)]. 5188 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(120,a,4623,a,b,4434,a(flip))]. 5189 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4623(a,2),3763(a,1,1))]. 5190 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4623(a,2),4409(a,2,1)),flip(a)]. 5191 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4623(a,2),4691(a,1,1))]. 5193 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [hyper(139,a,4637,a(flip))]. 5194 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(290,a,3255,a,b,4708,a),flip(a)]. 5195 K((x / y) \ 1,z) = K(y / x,z). [hyper(65,a,4455,a(flip),b,4708,a),flip(a)]. 5197 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(944(a,1),4708(a,1,1))]. 5198 K(1 / (x / y),z) = K(y / x,z). [hyper(4943,a,5195,a)]. 5200 K((x / y) \ 1,x) = K(x \ y,x). [hyper(290,a,4579,a(flip),b,5195,a),flip(a)]. 5201 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),5195(a,1,1,1)),flip(a)]. 5202 K((x / (y * x)) \ 1,z) = K(y,z). [para(11(a,1),5195(a,2,1))]. 5203 K((x \ y) / y,z) = K(x \ 1,z). [para(78(a,1),5195(a,1,1,1)),flip(a)]. 5204 (x * K(y / z,x)) * (1 / (z / y)) = (1 / (z / y)) * x. [para(5198(a,1),4487(a,1,1,2))]. 5205 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5198(a,1),4944(a,1))]. 5206 K(x \ (y \ x),x) = K(y \ 1,x). [para(78(a,1),5200(a,1,1,1)),flip(a)]. 5207 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5201(a,1),4668(a,1,2)),flip(a)]. 5208 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5201(a,2),4943(a,1))]. 5209 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3382(a,2),5205(a,1))]. 5211 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1489(a,1),4709(a,1,2))]. 5212 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1502(a,1),4709(a,1,2))]. 5213 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2254(a,1),4709(a,1,2))]. 5214 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1048,a,4710,a)]. 5215 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(956,a,4710,a),flip(a)]. 5216 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(758,a,4710,a),flip(a)]. 5217 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,y). [hyper(654,a,4710,a)]. 5218 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(65,a,1033,a(flip),b,4710,a),flip(a)]. 5219 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(229,a,4439,a,b,4710,a(flip))]. 5220 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(121,a,4710,a(flip),b,417,a)]. 5221 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4710(a,2),45(a,1))]. 5222 (x * y) * K(((x * y) \ T(y,x)) \ 1,z) = T(y,x) * T(T(T(x,y),y),z). [para(3958(a,1),4710(a,1,2,1)),flip(a)]. 5223 (x * T(x \ y,y)) * ((y \ x) \ 1) = ((y \ x) \ 1) * y. [para(4710(a,2),4487(a,1,1))]. 5224 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(290,a,1704,a(flip),b,4711,a)]. 5225 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(290,a,1033,a(flip),b,4711,a),flip(a)]. 5226 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),4711(a,2,2,1))]. 5227 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [para(4711(a,1),4835(a,1,2))]. 5228 K(x,y) * (((z * z) * (u * x)) / ((z * z) * u)) = T(x,y) * K((z * z) * u,x). [para(33(a,1),4752(a,1,2,1))]. 5229 T(x,y \ (y \ 1)) * K(z,x) = K(y * y,x) * ((z * x) / z). [para(5182(a,1),4752(a,1,1)),flip(a)]. 5230 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3452,a,4762,a)]. 5231 K(x,y) * ((x * x) * z) = (x * T(x,y)) * z. [para(233(a,1),4801(a,2,1))]. 5232 T(x,y) * (T(x,y) * z) = x * (T(T(x,y),y) * z). [para(4808(a,1),4437(a,1,2)),flip(a)]. 5233 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4866(a,1),307(a,1,2))]. 5234 T(x,x * y) * K(z,T(x,y * x)) = T(x * K(z,x),y * x). [para(3657(a,1),4866(a,1,1))]. 5235 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4866(a,1),4636(a,1,1))]. 5236 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(4883(a,1),23(a,1,1)),flip(a)]. 5240 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(136,a,4893,a)]. 5242 T(x,y \ 1) * (y * y) = x * (T(y \ 1,x) \ y). [para(4931(a,1),4437(a,1,2)),flip(a)]. 5244 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(1914(a,1),4987(a,1,1,1)),flip(a)]. 5245 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(1984(a,1),4987(a,1,1,1))]. 5246 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4098(a,1),4987(a,1,1,1))]. 5247 K(T((1 / x) * y,z),u) = K(T((x \ 1) * y,z),u). [para(1936(a,1),4988(a,1,1,1))]. 5248 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(1936(a,1),4990(a,1,1,2))]. 5249 K(x / (y * (1 / z)),u) = K(x / (y * (z \ 1)),u). [para(2545(a,1),4990(a,1,1,2))]. 5250 K(x \ ((1 / y) \ z),u) = K(x \ ((y \ 1) \ z),u). [para(1966(a,1),4994(a,1,1,2)),flip(a)]. 5251 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(2044(a,1),4994(a,1,1,2))]. 5252 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4566(a,1),4994(a,1,1,2))]. 5253 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(290,a,5028,a,b,5252,a)]. 5255 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(4132(a,1),5019(a,1,2))]. 5256 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(1966(a,1),5029(a,1,2,1)),flip(a)]. 5257 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(2044(a,1),5029(a,1,2,1))]. 5258 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2545(a,1),5029(a,1,2,1))]. 5259 K(x,(y * ((z \ 1) \ 1)) \ u) = K(x,(y * z) \ u). [para(3068(a,1),5029(a,1,2,1))]. 5260 K(x,(y * (z * (1 / u))) \ w) = K(x,(y * (z * (u \ 1))) \ w). [para(4128(a,1),5029(a,1,2,1))]. 5261 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(1891(a,1),5031(a,1,2,2))]. 5262 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(1936(a,1),5031(a,1,2,2))]. 5263 K(x,y / ((1 / z) \ u)) = K(x,y / ((z \ 1) \ u)). [para(1966(a,1),5031(a,1,2,2)),flip(a)]. 5264 K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))). [para(2545(a,1),5031(a,1,2,2))]. 5265 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(1914(a,1),5034(a,1,2,2)),flip(a)]. 5266 K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). [para(1936(a,1),5034(a,1,2,2))]. 5267 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(1954(a,1),5034(a,1,2,2))]. 5268 K(x,y * (T(1 / z,u) \ w)) = K(x,y * (T(z \ 1,u) \ w)). [para(3358(a,1),5034(a,1,2,2)),flip(a)]. 5269 K(x,y * (z * ((1 / u) \ w))) = K(x,y * (z * ((u \ 1) \ w))). [para(4127(a,1),5034(a,1,2,2)),flip(a)]. 5270 K(x,y * (z * (u * (1 / w)))) = K(x,y * (z * (u * (w \ 1)))). [para(4128(a,1),5034(a,1,2,2))]. 5271 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2493(a,1),5035(a,1,2,1))]. 5272 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(120,a,4946,a(flip),b,5051,a),flip(a)]. 5273 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(65,a,5101,a,b,5051,a)]. 5274 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5047(a,2),5272(a,1,2))]. 5275 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(4842,a,5052,a)]. 5276 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(65,a,4745,a,b,5052,a)]. 5277 T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [hyper(120,a,5052,a(flip),b,4441,a),flip(a)]. 5278 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(22(a,2),5052(a,1,2))]. 5280 T(x,x \ y) * ((y / x) \ z) = x * ((x \ y) \ z). [para(5052(a,1),4760(a,1,2))]. 5283 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(290,a,2491,a(flip),b,5053,a)]. 5284 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(4842,a,5070,a)]. 5293 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(4775(a,1),5086(a,1,2))]. 5295 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4492(a,1),5102(a,1,2))]. 5297 (x / y) * (((y \ x) \ x) \ z) = (y \ x) * (y \ z). [para(4891(a,1),5102(a,1,2)),flip(a)]. 5302 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(78(a,1),5105(a,1,2)),flip(a)]. 5304 K(x \ 1,y) * x = x * K(x \ 1,y). [para(103(a,1),5155(a,1,2,1,1)),flip(a)]. 5305 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(65,a,5174,a(flip),b,5161,a),flip(a)]. 5306 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(190,a,5305,a)]. 5307 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5305(a,1),251(a,1,2)),flip(a)]. 5308 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5305(a,1),4411(a,2,2)),flip(a)]. 5309 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5305(a,1),4595(a,1,2))]. 5310 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [hyper(4842,a,5308,a)]. 5311 K(K(x,y),z) = K(z,K(y,x)). [hyper(36,a,4471,a(flip),b,5310,a)]. 5312 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(4856,a,5311,a)]. 5313 x * K(K(y,z),x) = T(x,K(z,y)). [para(5311(a,2),4471(a,2,2)),flip(a)]. 5314 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5311(a,1),4491(a,2,1)),flip(a)]. 5316 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5311(a,1),4492(a,1,1))]. 5317 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5311(a,1),4831(a,1,1))]. 5318 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5312(a,1),4831(a,1))]. 5319 T(T(x,K(y,z)),K(z,y)) = x. [hyper(4614,a,5313,a)]. 5320 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(65,a,4488,a(flip),b,5313,a),flip(a)]. 5321 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5313(a,1),4487(a,1,1))]. 5322 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5313(a,1),4615(a,1,1))]. 5323 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5313(a,1),4634(a,1,1))]. 5324 T(K(x,y),K(x,z)) = K(x,y). [hyper(4678,a,5319,a),flip(a)]. 5325 T(K(x,y),K(z,y)) = K(x,y). [hyper(4650,a,5319,a),flip(a)]. 5326 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(5319(a,1),51(a,1)),flip(a)]. 5328 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(5324(a,1),104(a,1,2))]. 5329 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5324(a,1),268(a,1,2))]. 5330 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(120,a,5325,a(flip),b,4836,a)]. 5331 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5325(a,1),104(a,1,2))]. 5333 T(x,K(y,z)) != u | x * K(K(z,y),x) = u. [para(4435(a,1),5322(a,1,1)),flip(b)]. 5334 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [hyper(121,a,4711,a(flip),b,5321,a)]. 5335 K(x,y) * (1 / x) = (1 / x) * K(x,y). [para(2717(a,1),5321(a,1,1)),flip(a)]. 5337 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4494,a,5330,a)]. 5338 x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. [para(5330(a,1),50(a,1)),flip(a)]. 5339 (1 / x) * K(x,y) = K(x,y) / x. [hyper(65,a,3383,a(flip),b,5335,a),flip(a)]. 5340 ((1 / x) * (K(x,y) * z)) * a(1 / x,K(x,y),z) = (K(x,y) * (1 / x)) * z. [para(5335(a,2),86(a,2,1))]. 5341 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4810(a,1),5317(a,1))]. 5342 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4827(a,2),5341(a,1))]. 5344 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(106(a,1),5167(a,1,2,2,1)),flip(a)]. 5345 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5178(a,1),245(a,1,2)),flip(b)]. 5346 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5094(a,1),5178(a,1,2,1,2))]. 5347 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(1704(a,1),5194(a,1,1)),flip(a)]. 5348 K(x,(y / z) \ 1) = K(x,z / y). [hyper(65,a,4974,a(flip),b,5227,a),flip(a)]. 5349 K(x,1 / (y / z)) = K(x,z / y). [hyper(65,a,4775,a,b,5348,a)]. 5350 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),5348(a,1,2,1)),flip(a)]. 5351 K(x,(y \ z) / z) = K(x,y \ 1). [para(78(a,1),5348(a,1,2,1)),flip(a)]. 5353 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),5349(a,1,2,2)),flip(a)]. 5354 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5349(a,1),4780(a,1))]. 5355 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5350(a,1),4509(a,1,1))]. 5357 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5353(a,1),4503(a,1,2))]. 5358 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5353(a,2),4780(a,1))]. 5359 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(10(a,1),5358(a,1,2,2))]. 5360 K(x,x \ (y \ x)) != z | K(x,y \ 1) = z. [para(4587(a,1),5359(a,1))]. 5361 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(4866(a,1),5235(a,1,1,1))]. 5363 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [hyper(290,a,3436,a(flip),b,5273,a),flip(a)]. 5364 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(120,a,4946,a(flip),b,5273,a)]. 5368 (x \ y) \ (y / (y / x)) = (y / x) \ x. [para(4388(a,2),5276(a,1,2))]. 5369 (x \ 1) \ ((x \ 1) \ 1) = (1 / x) \ x. [para(2570(a,1),5368(a,1,2))]. 5370 T(x / ((1 / y) \ z),(1 / y) \ y) = (y \ 1) * (y \ (x / (y \ z))). [para(5369(a,1),2972(a,1,2))]. 5371 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(5283(a,1),2603(a,1,1))]. 5377 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5284(a,1),5104(a,2,2))]. 5378 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5337(a,1),1860(a,2,3))]. 5379 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(1765(a,1),4473(a,1,2,1)),flip(a)]. 5382 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(290,a,4434,a(flip),b,4617,a),flip(a)]. 5383 K(x * (y * y),y * y) = K(x,y * y). [hyper(515,a,5382,a)]. 5384 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4630(a,2),3706(a,1,1))]. 5385 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(4964(a,1),4653(a,1))]. 5386 T(x,y) \ T(x,z) != u | K(x,z) * K(y,x) = u. [para(4904(a,2),4680(a,1))]. 5387 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(4708(a,1),4698(a,1))]. 5395 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(295,a,4853,a),flip(a)]. 5396 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3258(a,1),4961(a,1,2))]. 5397 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5227(a,1),4975(a,1))]. 5399 K(x,y \ 1) != z | K(x,1 / y) = z. [para(76(a,1),5397(a,1,2,1))]. 5400 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(101(a,2),5397(a,1,2,1))]. 5401 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(81(a,1),5399(a,1,2))]. 5402 K(x / (y \ 1),z \ 1) != u | K(x / (1 / y),1 / z) = u. [para(4991(a,1),5399(a,1))]. 5403 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5164(a,1),5399(a,1))]. 5404 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(290,a,27,a,b,5042,a),flip(a)]. 5405 x * (K(y,x) * T(z,x)) != u | K(y,x) * (z * x) = u. [para(22(a,2),5074(a,1,2,2))]. 5406 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4434(a,2),5109(a,1,1))]. 5409 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(25(a,2),5136(a,1,2))]. 5410 ((x * y) / x) \ z != u | K(y,x) * (y \ z) = u. [para(10(a,1),5137(a,1,2))]. 5411 T(x,y) * (x \ K(x,z)) != u | K(x,z) * K(x,y) = u. [para(4438(a,2),5329(a,1))]. 5413 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5395(a,1),27(a,2,1))]. 5414 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5094(a,2),5404(a,1,1,1,2))]. 5416 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(4434(a,1),5410(a,1,1))]. 5417 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4412(a,2),4460(a,1,1))]. 5419 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(65,a,4107,a(flip),b,5417,a),flip(a)]. 5420 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(120,a,5417,a(flip),b,3013,a)]. 5421 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4782(a,1),5417(a,1,1)),flip(a)]. 5422 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(5168(a,1),5417(a,1,1)),flip(a)]. 5423 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(353(a,1),5421(a,1,2,1)),flip(a)]. 5424 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5421(a,1),5417(a,1,1)),flip(a)]. 5425 L(K(x,y \ z),y \ z,y) = K(x,1 / (z \ y)). [hyper(290,a,4775,a,b,5423,a),flip(a)]. 5426 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [para(5423(a,1),445(a,1,2)),flip(a)]. 5427 L(K(x,y \ z),y \ z,y) != u | K(x,1 / (z \ y)) = u. [para(5423(a,2),5399(a,1))]. 5428 L(K(x,y \ z),y \ z,y) != u | K(x,(z \ y) \ 1) = u. [para(5425(a,2),4780(a,1))]. 5429 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(37,a,4487,a,b,4530,a)]. 5430 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [hyper(139,a,4571,a)]. 5431 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(290,a,5337,a(flip),b,4606,a),flip(a)]. 5432 ((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(5431(a,1),95(a,1,2,2,1))]. 5433 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4628(a,1),383(a,1,1))]. 5434 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(65,a,2991,a,b,4707,a)]. 5435 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4413(a,1),4707(a,1,1))]. 5436 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4458(a,2),4707(a,1,1)),flip(a)]. 5437 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5435(a,1),100(a,1,1))]. 5438 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(101(a,1),5435(a,2,1,1))]. 5439 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3257(a,1),5435(a,1,1)),flip(a)]. 5440 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5436(a,1),5435(a,1,1)),flip(a)]. 5441 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5439(a,1),4811(a,1,1)),flip(a)]. 5442 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(65,a,1493,a(flip),b,4713,a)]. 5443 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(81(a,1),4713(a,1,2,2,1,2))]. 5444 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(104(a,1),4713(a,1,2))]. 5445 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(954(a,1),4713(a,1,2))]. 5446 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(290,a,4264,a(flip),b,4715,a),flip(a)]. 5447 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(290,a,954,a(flip),b,4715,a)]. 5448 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(120,a,4720,a(flip),b,945,a)]. 5450 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4719(a,2),4720(a,1,2))]. 5451 T(x,y) * ((1 / x) \ z) = (x * T(x,y)) * z. [hyper(290,a,5231,a(flip),b,4750,a),flip(a)]. 5452 ((1 / x) * (1 / x)) \ y = (x * T(x,x \ 1)) * y. [hyper(65,a,2683,a(flip),b,5451,a)]. 5453 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5205,a,4757,a)]. 5454 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(360(a,1),4777(a,1,2,2,1,2))]. 5455 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(65,a,1758,a,b,4791,a)]. 5457 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(4860(a,1),2679(a,1,1))]. 5458 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K((x / (1 / y)) \ 1,z),u). [para(4413(a,1),4986(a,1,1)),flip(a)]. 5459 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(1848(a,1),4989(a,1,1,1)),flip(a)]. 5460 K(x * (((y \ 1) \ 1) \ z),u) = K(x * (y \ z),u). [para(78(a,1),4996(a,1,1,2,1)),flip(a)]. 5461 K(x * ((x \ 1) \ y),z) = K((x * x) * y,z). [para(677(a,1),4996(a,1,1)),flip(a)]. 5462 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1277(a,1),5000(a,1,1))]. 5463 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2705(a,1),5000(a,1,1))]. 5464 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2036(a,2),5036(a,1,2,2))]. 5465 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4574(a,2),5036(a,2,2,2)),flip(a)]. 5466 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4207(a,1),5082(a,1,2))]. 5467 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4193(a,1),5083(a,1,2))]. 5468 T(x,y) * (K(x * y,x) * z) = R(x,y,x) * z. [para(4949(a,1),5112(a,1,1)),flip(a)]. 5469 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(141,a,5214,a)]. 5471 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(12(a,1),5224(a,1,1,1)),flip(a)]. 5472 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(65,a,1039,a,b,5250,a)]. 5473 K(x,((y \ 1) \ R(1 / y,z,z)) \ u) = K(x,a(1 / y,z,z) \ u). [para(2197(a,1),5256(a,1,2,1)),flip(a)]. 5474 K(x,(y * L(1 / z,u,w)) \ v5) = K(x,(y * L(z \ 1,u,w)) \ v5). [para(3022(a,1),5259(a,1,2,1,2)),flip(a)]. 5475 K(x,y * (z \ ((1 / z) \ u))) = K(x,y * (z \ ((z \ 1) \ u))). [para(1967(a,1),5265(a,1,2,2))]. 5476 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z)). [para(665(a,1),5266(a,1,2,2)),flip(a)]. 5477 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4385(a,1),5271(a,1,2,1)),flip(a)]. 5478 (x \ ((x \ 1) \ y)) * (T(1 / x,(1 / x) \ (x \ y)) * z) = ((x \ y) / (1 / x)) * ((1 / x) * z). [para(807(a,1),5295(a,1,1))]. 5479 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4420(a,1),5295(a,1,2)),flip(a)]. 5480 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5479(a,2),3741(a,1,1))]. 5487 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5348(a,1),5344(a,1,1)),flip(a)]. 5488 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(230,a,5487,a)]. 5490 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(106(a,2),5371(a,1,1))]. 5491 (1 / (1 / x)) * ((1 / x) * (x * y)) = x * (x * ((1 / x) * y)). [para(724(a,1),5377(a,2,2))]. 5492 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3331(a,1),5448(a,1,2,1)),flip(a)]. 5494 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(81(a,1),5450(a,1,2,1,1))]. 5495 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3257(a,1),5450(a,1,2,1))]. 5496 ((1 / x) * (1 / x)) \ y = (x / (x \ 1)) * y. [para(2669(a,1),5452(a,2,1))]. 5497 ((x \ 1) / x) \ y = (x / (x \ 1)) * y. [para(2321(a,1),5496(a,1,1))]. 5498 (x / (x \ 1)) * y = x * ((x \ 1) \ y). [hyper(65,a,895,a(flip),b,5497,a),flip(a)]. 5499 ((1 / x) \ x) * y = x * ((x \ 1) \ y). [para(2671(a,1),5498(a,1,1))]. 5500 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(5457(a,1),4105(a,2,2))]. 5501 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4810(a,1),5469(a,1,2,2,1,1,2))]. 5504 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4584(a,2),4685(a,1,2))]. 5505 L(x \ 1,x,y) * ((x \ 1) \ (y * x)) = (x \ 1) \ (y * K(x \ 1,y * x)). [hyper(120,a,4717,a(flip),b,1315,a),flip(a)]. 5508 (R(x,y,y \ 1) \ (x * y)) * ((x * y) * (y \ 1)) = (x * y) * K((y \ 1) \ 1,(x * y) * (y \ 1)). [para(553(a,1),4717(a,1,1))]. 5509 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(4811(a,1),4846(a,1,1))]. 5510 L(K(x \ 1,y) * ((1 / x) \ z),K(y,x \ 1),1 / x) = (K(y,x \ 1) / x) \ z. [para(5293(a,1),4847(a,2,1))]. 5511 T(x,y \ (y \ 1)) != z | x * K(y * y,x) = z. [para(1002(a,1),4939(a,1))]. 5516 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(210(a,1),5040(a,2,3))]. 5517 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(36,a,4310,a(flip),b,5183,a),flip(a)]. 5518 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(36,a,4263,a(flip),b,5183,a),flip(a)]. 5520 (x * (y * z)) \ ((x * y) * L(z * K(u,z),y,x)) = L(K(u,L(z,y,x)),L(z,y,x),x * y). [para(5183(a,1),452(a,1,2,2))]. 5522 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(2014(a,1),5187(a,2,1))]. 5525 T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. [para(4710(a,2),5233(a,1,2,1))]. 5526 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5434(a,1),732(a,1,2))]. 5527 K(x,y * (z * ((1 / z) * u))) = K(x,y * L(u,z,z)). [para(724(a,1),5476(a,1,2,2))]. 5528 (x \ 1) * (y / (y / x)) = x * (1 / T(x,x \ y)). [para(4433(a,1),4387(a,2,2))]. 5529 ((x \ 1) \ 1) * (x * (1 / T(x,x \ y))) = x * ((1 / x) * (y / (y / x))). [para(5528(a,1),1955(a,1,2))]. 5530 L(x,K(y,z),L(y,u,w)) = x. [hyper(459,a,4446,a)]. 5531 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3266(a,1),4446(a,1,1))]. 5532 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(65,a,4847,a(flip),b,5530,a)]. 5533 K(x,y) * ((x \ 1) \ y) = (y \ ((x \ 1) \ y)) * y. [hyper(290,a,104,a(flip),b,4479,a),flip(a)]. 5534 T(x,y * ((1 / z) \ u)) != w | T(x,y * ((z \ 1) \ u)) = w. [para(4538(a,1),4475(a,1))]. 5535 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4528(a,1),4663(a,1,2))]. 5536 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(290,a,4507,a(flip),b,5535,a),flip(a)]. 5537 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4413(a,1),4721(a,1,1,2))]. 5539 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(229,a,5537,a,b,10,a),flip(a)]. 5540 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(125,a,5537,a)]. 5542 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5540(a,1),1289(a,1,1)),flip(a)]. 5543 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(3675,a,4803,a(flip)),flip(a)]. 5544 a(x,y * K(z \ y,z),u) = a(x,z * (y / z),u). [para(4814(a,1),4882(a,1,2,2))]. 5546 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(10(a,1),4999(a,1,2,2,1))]. 5547 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(65,a,2389,a(flip),b,5004,a)]. 5548 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5004(a,1),2422(a,1,1)),flip(a)]. 5549 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(4933(a,1),5077(a,1,2)),flip(a)]. 5550 K(x,L(y \ 1,z,u) \ (K(w,L(1 / y,z,u)) * v5)) = K(x,T(L(1 / y,z,u),w) \ v5). [para(4746(a,1),5092(a,1,2)),flip(a)]. 5551 ((1 / x) * K(y,x)) \ z = K(x,y) * ((1 / x) \ z). [hyper(65,a,999,a(flip),b,5097,a)]. 5552 K(x,y) * ((1 / x) \ z) = (1 / T(x,y)) \ z. [para(4433(a,1),5551(a,1,1)),flip(a)]. 5553 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3438(a,1),5113(a,1,1))]. 5554 ((1 / (x / y)) * z) / (1 / (x / y)) = ((y / x) * z) / (y / x). [hyper(121,a,5204,a(flip),b,4613,a)]. 5555 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3117(a,1),5211(a,1,2)),flip(a)]. 5556 (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),5218(a,2,2))]. 5557 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(1984(a,1),5246(a,1,1,1,2))]. 5558 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(105(a,2),5302(a,1,2,2,1))]. 5559 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5233,a,5346,a),flip(a)]. 5560 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(290,a,68,a(flip),b,5379,a),flip(a)]. 5562 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(65,a,4773,a(flip),b,5442,a),flip(a)]. 5563 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4710(a,1),5442(a,1,1))]. 5564 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(954(a,1),5443(a,1,2)),flip(a)]. 5565 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(141,a,5447,a)]. 5567 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(65,a,5245,a,b,5453,a)]. 5568 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(65,a,5467,a(flip),b,5466,a),flip(a)]. 5569 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(290,a,5448,a(flip),b,5492,a),flip(a)]. 5570 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(12(a,1),5539(a,1,2,1)),flip(a)]. 5571 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(5553(a,1),503(a,1))]. 5572 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5562(a,1),5565(a,1,2,2))]. 5573 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5572(a,1),1824(a,2,2,1))]. 5574 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(65,a,2293,a,b,4573,a)]. 5575 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(4800(a,1),4845(a,1,2))]. 5576 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4984(a,1),5089(a,1,1,1))]. 5579 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4413(a,1),5125(a,1,1))]. 5582 (x * y) \ (x * (y * K(z \ 1,u))) = K(L(z,y,x) \ 1,u). [hyper(5579,a,18,a),flip(a)]. 5583 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(5579,a,xx),flip(a)]. 5584 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5583(a,1),94(a,1,2))]. 5585 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1645(a,1),5583(a,1,1)),flip(a)]. 5586 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3255(a,2),5583(a,1,1))]. 5587 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3257(a,1),5583(a,1,1)),flip(a)]. 5588 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4810(a,1),5583(a,1,1,1)),flip(a)]. 5589 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5154(a,1),5583(a,1,1)),flip(a)]. 5590 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5157(a,1),5583(a,1,1)),flip(a)]. 5591 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(290,a,3255,a,b,5586,a),flip(a)]. 5593 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5587(a,1),4810(a,1,1)),flip(a)]. 5594 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5587(a,1),4811(a,1,1)),flip(a)]. 5595 (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). [para(5591(a,1),94(a,1,2))]. 5596 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3256(a,1),5591(a,1,1)),flip(a)]. 5597 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(5518(a,1),5591(a,1,1)),flip(a)]. 5598 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(5596(a,1),4814(a,1,2)),flip(a)]. 5599 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(65,a,5421,a(flip),b,5593,a),flip(a)]. 5600 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(190,a,5599,a)]. 5601 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(5599(a,1),50(a,1))]. 5602 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5599(a,1),300(a,1,2)),flip(b)]. 5603 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5600(a,1),310(a,1,1))]. 5604 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5593(a,2),5603(a,1))]. 5605 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(290,a,5591,a(flip),b,5597,a),flip(a)]. 5606 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(5590(a,1),4811(a,1,1)),flip(a)]. 5607 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5421(a,1),5594(a,1,1)),flip(a)]. 5608 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(309,a,5607,a)]. 5609 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(290,a,4655,a(flip),b,5607,a),flip(a)]. 5610 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5607(a,1),141(a,1))]. 5611 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5608(a,1),307(a,1,2))]. 5612 T(x,x \ 1) * ((x * x) \ y) = (1 / x) * y. [hyper(5133,a,5070,a)]. 5613 K(x / (y \ 1),1 / z) != u | K(x / (1 / y),1 / z) = u. [para(4775(a,2),5402(a,1))]. 5614 K(R(x,y,z) \ 1,R(x,u,w)) = K(x \ 1,R(x,u,w)). [hyper(37,a,2677,a(flip),b,5437,a),flip(a)]. 5615 K(R(x,y,z) \ 1,R(x,u,w)) = K(x \ 1,x). [hyper(290,a,2673,a(flip),b,5614,a),flip(a)]. 5616 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [para(5614(a,1),2014(a,1,2))]. 5618 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(5615(a,1),4093(a,1,2))]. 5619 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5200(a,1),5438(a,1,1))]. 5620 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(12(a,1),5619(a,2,1,1,2))]. 5621 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(5582(a,1),463(a,1))]. 5622 K(1 / L(x,y,z),x) = K(1 / x,x). [hyper(4054,a,5595,a),flip(a)]. 5623 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(65,a,5605,a,b,5622,a)]. 5625 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(5623(a,1),2020(a,1,2))]. 5626 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(5625(a,1),4046(a,1,2)),flip(a)]. 5627 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(65,a,5522,a(flip),b,5616,a)]. 5628 R(x,y,z) \ K(R(x,y,z),x \ 1) = 1 / R(x,y,z). [hyper(4938,a,5616,a(flip))]. 5629 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(183,a,5627,a(flip))]. 5630 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(78(a,1),5629(a,1,1,1,2)),flip(a)]. 5631 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2428(a,1),5629(a,1,1,1))]. 5632 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [hyper(183,a,5630,a)]. 5633 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(78(a,1),5632(a,1,1,1,1)),flip(a)]. 5634 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(5632(a,1),4992(a,1,1,2)),flip(a)]. 5635 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(524(a,1),5633(a,2,1,1))]. 5636 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(1739(a,1),5633(a,2,1,1))]. 5637 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(5633(a,2),2441(a,1,1))]. 5638 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(757(a,1),5631(a,1,1)),flip(a)]. 5639 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(5620(a,2),5387(a,1))]. 5640 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(65,a,2803,a,b,5636,a)]. 5641 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4814(a,1),5640(a,1,2,2))]. 5642 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5328(a,1),5641(a,2,1,1))]. 5643 x * ((y / (z * z)) * T(z * z,u)) = (x * y) * K(z * z,u). [hyper(1102,a,4478,a)]. 5644 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1668,a,4616,a),flip(a)]. 5645 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4627(a,1),1026(a,1,1,1))]. 5646 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4525(a,1),4662(a,1,2)),flip(a)]. 5647 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1613(a,1),5646(a,2,2))]. 5649 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(5411,a,4925,a(flip)),flip(a)]. 5650 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5649(a,1),3345(a,1,2))]. 5651 T(x,y) \ (T(x,z) / (u * u)) = K(x,z) * (K(y,x) / (u * u)). [hyper(65,a,798,a(flip),b,5116,a),flip(a)]. 5652 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(104(a,1),5215(a,2,2))]. 5653 T(x,x * y) * K(z,T(x,x * y)) = T(x * K(z,x),y * x). [para(3657(a,1),5234(a,1,2,2))]. 5654 K(x,y * (z * ((u \ 1) \ R(1 / u,w,w)))) = K(x,y * (z * a(1 / u,w,w))). [para(2197(a,1),5269(a,1,2,2,2)),flip(a)]. 5655 K(x,y * (z * ((u \ 1) \ L(1 / u,w,v5)))) = K(x,y * (z * (u \ L(u,w,v5)))). [para(4347(a,1),5269(a,1,2,2,2)),flip(a)]. 5657 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(593(a,1),5440(a,1,1,1)),flip(a)]. 5658 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(1021(a,1),5463(a,1,1,1))]. 5659 ((x \ 1) \ 1) * ((1 / x) * (x * y)) = x * (x * ((1 / x) * y)). [para(2570(a,1),5491(a,1,1))]. 5660 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(81(a,1),5494(a,2,1,1))]. 5661 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),5660(a,1,2,2)),flip(a)]. 5663 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(121,a,5661,a,b,xx)]. 5664 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(120,a,5661,a,b,104,a)]. 5667 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3257(a,1),5495(a,2,1))]. 5669 K(x,x \ y) * ((x \ 1) \ (x \ y)) = (x \ 1) \ (y / x). [hyper(120,a,4566,a(flip),b,5667,a),flip(a)]. 5670 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),5667(a,1,2,2)),flip(a)]. 5671 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(5670(a,1),4835(a,1,2))]. 5672 ((x \ y) \ ((x \ 1) \ (x \ y))) * (x \ y) = (x \ 1) \ (y / x). [hyper(65,a,5533,a(flip),b,5669,a)]. 5673 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4710(a,2),5501(a,1,2))]. 5674 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5216(a,1),5501(a,1,2)),flip(a)]. 5675 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(3748(a,1),5543(a,1,2))]. 5676 (((x / y) \ 1) * z) / ((x / y) \ 1) = ((y / x) * z) / (y / x). [hyper(5180,a,5554,a)]. 5677 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(290,a,5212,a(flip),b,5555,a),flip(a)]. 5678 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(334,a,5563,a)]. 5679 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(65,a,5442,a,b,5564,a)]. 5680 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(4142,a,5618,a)]. 5681 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4581(a,1),5644(a,1,2)),flip(a)]. 5682 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(290,a,4604,a(flip),b,5681,a),flip(a)]. 5683 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(10(a,1),5682(a,1,1,1)),flip(a)]. 5684 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5650(a,1),1988(a,1,1)),flip(a)]. 5685 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5650(a,1),4279(a,1,2))]. 5686 ((x \ 1) \ 1) * L(y,x,x) = x * (x * ((1 / x) * y)). [para(665(a,1),5659(a,1,2))]. 5687 T(x \ y,x) / ((x \ 1) \ (x \ y)) = (x \ y) / ((x \ 1) \ (y / x)). [para(5672(a,1),4259(a,2,2))]. 5688 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(125,a,5673,a)]. 5689 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(36,a,4197,a(flip),b,5674,a(flip))]. 5690 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5674(a,2),45(a,1))]. 5691 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(5689(a,2),4042(a,1,2))]. 5692 T(((x / y) * z) / (x / y),y / x) = T(z,(y / x) * (y / x)). [para(5676(a,1),2685(a,1,1))]. 5693 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5688(a,1),4162(a,1,1))]. 5694 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),5693(a,1,1,2,1)),flip(a)]. 5695 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5694(a,2),46(a,1))]. 5696 L(K(x,y) * (x \ z),x * K(y,x),y) = (T(y,x) * x) \ (y * z). [para(5054(a,1),4862(a,1,1))]. 5697 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(4837(a,1),4878(a,1,2,2)),flip(a)]. 5698 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(5409,a,3674,a)]. 5699 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(3748(a,1),5698(a,1,2))]. 5700 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4320(a,2),5548(a,1,2))]. 5702 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(290,a,338,a(flip),b,5585,a),flip(a)]. 5704 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1200(a,1),5702(a,1,2))]. 5705 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(58,a,5704,a)]. 5706 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(56,a,5705,a)]. 5707 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1201(a,2),5706(a,1,1))]. 5708 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5707(a,1),3576(a,1,2)),flip(a)]. 5709 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(290,a,2961,a(flip),b,5708,a),flip(a)]. 5710 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1201(a,1),5709(a,1,1))]. 5711 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(1734(a,1),5638(a,1,2))]. 5712 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3659(a,1),5683(a,1,1)),flip(a)]. 5713 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(290,a,3494,a(flip),b,5712,a),flip(a)]. 5714 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(37,a,4635,a,b,5713,a),flip(a)]. 5715 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(290,a,5099,a,b,5714,a),flip(a)]. 5716 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3754(a,1),5715(a,1,2))]. 5717 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(183,a,5716,a)]. 5718 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5099(a,1),5717(a,1,1))]. 5719 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4434(a,2),5718(a,1,1,2))]. 5720 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(271,a,5700,a)]. 5721 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3235(a,1),5720(a,1,2)),flip(a)]. 5723 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4782(a,1),5721(a,1,1,2))]. 5724 (x * K(y,z)) * y = x * T(y,z). [para(2636(a,1),5723(a,2,2))]. 5725 x * T(y * K(x,z),x) = y * T(x,z). [hyper(269,a,5724,a)]. 5726 T(x * K(y,z),y) = y \ (x * T(y,z)). [hyper(229,a,5724,a,b,10,a)]. 5727 (x * T(y,z)) / y = x * K(y,z). [hyper(136,a,5724,a)]. 5728 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(125,a,5724,a)]. 5729 (x / T(y,z)) * K(y,z) = x / y. [hyper(121,a,12,a(flip),b,5724,a),flip(a)]. 5730 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(120,a,456,a(flip),b,5724,a)]. 5731 (x / y) * T(y,z) = x * K(y,z). [hyper(37,a,1396,a,b,5724,a)]. 5732 (x * y) * K(y,z) = x * T(y,z). [hyper(37,a,1392,a,b,5724,a),flip(a)]. 5733 (x * (y / z)) * K(y / z,z) = x * (z \ y). [hyper(37,a,1403,a(flip),b,5724,a),flip(a)]. 5734 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5724(a,1),14(a,2,1,2)),flip(a)]. 5737 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5724(a,1),208(a,2,1))]. 5740 T(x,y) * T(x,y) = x * T(T(x,y),y). [para(4576(a,1),5724(a,1,1))]. 5741 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4443(a,1),5724(a,1,1))]. 5742 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5724(a,1),5149(a,1,2,1))]. 5743 ((x * (y * y)) * T(z,u)) / z = x * ((y * y) * K(z,u)). [hyper(290,a,34,a(flip),b,5727,a),flip(a)]. 5744 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5727(a,1),241(a,1,1)),flip(b)]. 5745 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(5727(a,1),383(a,1,1))]. 5746 L(x,K(x,y),z) = x. [hyper(4561,a,5728,a)]. 5747 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(65,a,5504,a(flip),b,5746,a)]. 5748 L(T(x,y),K(x,z),u) = T(x,y). [para(5746(a,1),25(a,2,1))]. 5750 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(5746(a,1),458(a,1,2,1))]. 5751 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(5746(a,1),4319(a,1,1,2)),flip(a)]. 5752 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(5748(a,1),30(a,1,1)),flip(a)]. 5753 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(5748(a,1),858(a,1,2,1))]. 5754 (T(x,y) / y) * K(y,x) = x / y. [hyper(65,a,3628,a,b,5729,a)]. 5755 x * T(x \ y,z) = y * K(x \ y,z). [hyper(316,a,5731,a)]. 5756 T(x,(x / y) / x) = T(x,1 / y). [hyper(229,a,4916,a(flip),b,5731,a)]. 5757 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(125,a,5731,a)]. 5758 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(65,a,4243,a(flip),b,5731,a),flip(a)]. 5761 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(120,a,5731,a(flip),b,5724,a)]. 5763 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5731(a,1),1030(a,1,2,1))]. 5764 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4399(a,2),5731(a,1,1))]. 5765 (x * y) * K(z * z,u) = x * (y * K(z * z,u)). [para(5731(a,1),5643(a,1,2)),flip(a)]. 5766 R(x,y,K(y,z)) = x. [hyper(4548,a,5732,a)]. 5767 L(K(x,y),x,z) = K(x,y). [hyper(4547,a,5732,a)]. 5768 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(229,a,5732,a,b,10,a),flip(a)]. 5769 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(125,a,5732,a)]. 5770 (x * x) * (K(x,y) * z) = (x * T(x,y)) * z. [para(5732(a,1),33(a,1,1)),flip(a)]. 5772 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(5732(a,1),567(a,1))]. 5773 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5732(a,1),541(a,1,2))]. 5774 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5732(a,1),497(a,1,1))]. 5775 R(x,y,y) * K(y,z) = (x * (1 / y)) * T(y,z). [para(1732(a,1),5732(a,1,1))]. 5776 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(4249(a,2),5732(a,1,1)),flip(a)]. 5778 R(x,y,K(y \ 1,z)) = x. [hyper(65,a,1733,a(flip),b,5766,a)]. 5782 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(290,a,4810,a,b,5767,a),flip(a)]. 5783 L(K(x,y),x,z) = (T(x,y) * u) / (x * u). [hyper(290,a,4456,a,b,5767,a),flip(a)]. 5785 a(x,y,K(y,z)) = 1. [hyper(55,a,5767,a)]. 5786 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5767(a,1),456(a,1,2,1))]. 5788 L(K(x,y),y,z) = K(x,y). [hyper(5601,a,5782,a)]. 5789 L(K(x,y),x,z) != u | K(x,y) = u. [para(5782(a,2),4831(a,1))]. 5790 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(5428,a,5788,a)]. 5791 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5427,a,5788,a)]. 5793 a(x,y,K(z,y)) = 1. [hyper(55,a,5788,a)]. 5794 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5788(a,1),30(a,1,1)),flip(a)]. 5795 (x * y) * K(z,y) = x * (y * K(z,y)). [para(5788(a,1),94(a,1,2))]. 5796 (x / y) * (y * K(z,y)) = x * K(z,y). [para(5788(a,1),446(a,1,2)),flip(a)]. 5797 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(5788(a,1),4284(a,1,2)),flip(a)]. 5799 a(x,1 / y,K(z,y)) = 1. [hyper(65,a,2182,a,b,5793,a)]. 5800 L(K(x,y),1 / y,z) = K(x,y). [hyper(54,a,5799,a)]. 5801 L(K(x,y),y \ 1,z) = K(x,y). [hyper(65,a,4275,a(flip),b,5800,a)]. 5802 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5757(a,1),5240(a,1,2))]. 5803 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5769(a,1),245(a,1,2)),flip(b)]. 5806 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1797,a,5790,a)]. 5808 T(K(x,y / z),y) = K(x,z \ y). [hyper(65,a,5488,a,b,5790,a)]. 5809 K(x,(y * z) \ y) = K(x,z \ 1). [para(9(a,1),5790(a,1,2,1)),flip(a)]. 5810 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),5790(a,2,2))]. 5811 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),5790(a,1,2,1)),flip(a)]. 5812 K(x,y \ (y / z)) = K(x,z \ 1). [para(81(a,1),5790(a,1,2,1)),flip(a)]. 5813 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(96(a,2),5790(a,1,2,1))]. 5814 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(741(a,1),5790(a,1,2,1)),flip(a)]. 5815 T(x \ y,K(z,y \ x)) = x \ y. [para(5790(a,1),2721(a,1,2))]. 5816 K(x,T(y / z,T(z,y))) = K(x,(y \ z) \ 1). [para(3473(a,2),5790(a,2,2)),flip(a)]. 5817 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(5790(a,1),4964(a,1,1))]. 5818 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(5790(a,1),5417(a,1,1)),flip(a)]. 5819 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5790(a,1),5005(a,1,2))]. 5820 K(x,y / z) * y = y * K(x,z \ y). [para(5790(a,1),5487(a,1,2)),flip(a)]. 5823 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),5791(a,1,2,2)),flip(a)]. 5824 K(x,x / y) = K(x,y \ x). [hyper(4699,a,5808,a)]. 5825 K(x,(y \ z) \ z) = T(K(x,y),z). [para(78(a,1),5808(a,1,1,2)),flip(a)]. 5826 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(5808(a,1),3589(a,1,2)),flip(a)]. 5827 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(5808(a,1),3692(a,1,2))]. 5828 K(x,(y \ x) \ x) = K(x,y). [para(78(a,1),5824(a,1,2)),flip(a)]. 5829 K(x,x / (x / y)) = K(x,y). [para(81(a,1),5824(a,2,2))]. 5830 K(x,y \ 1) / ((z * y) \ z) = 1 / T((z * y) \ z,x). [hyper(121,a,5809,a(flip),b,4407,a(flip))]. 5832 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(290,a,5788,a,b,5810,a)]. 5833 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(290,a,5350,a,b,5812,a),flip(a)]. 5835 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5815(a,1),104(a,1,2))]. 5836 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(5825(a,2),194(a,1)),flip(b)]. 5837 K(x,T(y,y \ z)) = T(K(x,y),z). [para(105(a,2),5825(a,1,2))]. 5838 K(x,T(y,z / y)) = T(K(x,y),z). [para(3637(a,2),5825(a,1,2))]. 5839 T(K(x,y),z * y) = K(x,T(y,z)). [para(3624(a,2),5825(a,1,2)),flip(a)]. 5840 T(K(x,y),y * z) = K(x,T(y,z)). [para(9(a,1),5837(a,1,2,2)),flip(a)]. 5841 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(290,a,5839,a,b,5840,a)]. 5842 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5840(a,1),104(a,1,2))]. 5845 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(5840(a,1),5309(a,1,2))]. 5846 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2790(a,2),5836(a,1,2))]. 5847 K(K(x \ 1,x) * y,(z \ 1) \ 1) != u | K(y,z) = u. [para(4978(a,2),5836(a,1))]. 5848 ((x * T(T(x,x \ 1),x \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,T(x,x \ 1)). [para(5740(a,1),911(a,1,1,1))]. 5850 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(141,a,5747,a)]. 5851 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5747(a,1),292(a,1,2))]. 5852 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(5221,a,5755,a)]. 5853 K(x / y,z) * x = x * K(y \ x,z). [hyper(5129,a,5755,a)]. 5854 T(K(x / y,z),x) = K(y \ x,z). [hyper(4973,a,5755,a)]. 5855 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(1048,a,5755,a)]. 5856 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(65,a,1033,a(flip),b,5755,a),flip(a)]. 5858 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(229,a,4972,a(flip),b,5755,a(flip)),flip(a)]. 5859 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(120,a,1489,a(flip),b,5755,a(flip))]. 5862 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5755(a,2),307(a,1,2))]. 5863 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5755(a,2),95(a,1,2,2)),flip(a)]. 5864 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5755(a,1),1051(a,1,1))]. 5865 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5755(a,1),2052(a,2,1))]. 5867 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(5755(a,1),4971(a,1))]. 5868 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(290,a,5790,a(flip),b,5852,a),flip(a)]. 5869 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(290,a,657,a(flip),b,5852,a),flip(a)]. 5870 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(65,a,5677,a(flip),b,5852,a)]. 5871 x * K((y \ z) \ 1,u) = x * K(z \ y,u). [hyper(60,a,5852,a)]. 5872 K((x * y) \ x,z) = K(y \ 1,z). [para(9(a,1),5852(a,1,1,1)),flip(a)]. 5873 K(x \ (x / y),z) = K(y \ 1,z). [para(81(a,1),5852(a,1,1,1)),flip(a)]. 5875 K(T(x / y,T(y,x)) \ 1,z) = K(x \ y,z). [para(3473(a,2),5852(a,1,1,1))]. 5876 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(5852(a,1),4430(a,2,1))]. 5877 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(5852(a,1),5469(a,1,2,2))]. 5878 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5852(a,1),5583(a,1,1)),flip(a)]. 5879 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(5852(a,1),5652(a,1,2))]. 5880 K(x / y,x) = K(y \ x,x). [hyper(3448,a,5854,a)]. 5881 K((x / y) \ 1,y) = K(x \ y,y). [hyper(5205,a,5880,a)]. 5882 K((x \ y) \ y,y) = K(x,y). [para(78(a,1),5880(a,1,1)),flip(a)]. 5883 K(T(x,x \ y),z) = T(K(x,z),y). [para(105(a,2),5858(a,1,1))]. 5884 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(120,a,5869,a(flip),b,4413,a),flip(a)]. 5885 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5869(a,1),4550(a,1,2))]. 5888 a(x,(y * z) * (y / (y * z)),u) = a(x,y * K(z \ 1,y * z),u). [para(5872(a,1),5544(a,1,2,2)),flip(a)]. 5893 K(x \ (x / y),z) = T(z,y \ 1) \ z. [hyper(290,a,4400,a(flip),b,5873,a),flip(a)]. 5900 ((x * y) * K(L(z,y,x),u)) \ ((x * (y * z)) * K(L(z,y,x),u)) = L(z,y,x). [para(181(a,1),5761(a,1,1,1))]. 5901 R(x,y,K(z,y)) = x. [hyper(503,a,5795,a)]. 5902 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(290,a,4612,a,b,5795,a),flip(a)]. 5903 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4488(a,1),5795(a,2,2))]. 5904 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(5795(a,1),5724(a,1,1))]. 5905 R(x,y \ 1,K(z,y)) = x. [hyper(65,a,1733,a,b,5901,a)]. 5908 R(x,y,K(z,y \ 1)) = x. [hyper(65,a,1733,a(flip),b,5901,a)]. 5910 R(x,y \ 1,K(z,y)) = (x * u) / u. [hyper(290,a,11,a,b,5905,a),flip(a)]. 5911 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(65,a,4545,a(flip),b,5905,a)]. 5914 R(x,y \ z,K(u,z \ y)) = x. [para(5790(a,1),5908(a,1,3))]. 5915 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5914(a,1),490(a,1,1))]. 5916 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(39,a,4914,a,b,5910,a(flip))]. 5918 1 / (x * K(y,x)) = K(x,y) / x. [hyper(121,a,4815,a(flip),b,5796,a)]. 5919 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(120,a,4815,a(flip),b,5796,a)]. 5920 (x / y) * (z / (z / y)) = x * K(y \ z,y). [para(4384(a,2),5796(a,1,2))]. 5921 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(4488(a,1),5796(a,1,2))]. 5922 K(x,y) / x = 1 / ((y * x) / y). [para(4434(a,2),5918(a,1,2)),flip(a)]. 5923 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(839(a,1),5922(a,2,2))]. 5925 T(x,K(y,(z / x) \ 1)) = T(x,K(y,z \ x)). [para(5348(a,2),5826(a,1,2))]. 5926 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5357(a,2),5833(a,2,2))]. 5927 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(5841(a,2),4827(a,1,1))]. 5928 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(121,a,5850,a(flip),b,4612,a)]. 5931 x / ((y * z) / y) = (x / z) * K(z,y). [para(4434(a,2),5851(a,1,2))]. 5932 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4488(a,1),5851(a,1,2)),flip(a)]. 5934 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(37,a,3437,a(flip),b,5853,a),flip(a)]. 5935 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(290,a,4430,a,b,5876,a),flip(a)]. 5937 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(5876(a,2),4449(a,1))]. 5939 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),5935(a,1,2,1)),flip(a)]. 5940 T(x,((y * z) \ y) \ 1) = T(x,z). [para(9(a,1),5935(a,2,2))]. 5941 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),5935(a,1,2,1))]. 5942 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(5935(a,1),390(a,1))]. 5943 T(x,x \ y) / (y \ x) = x * (y / x). [para(5935(a,1),3163(a,1,1))]. 5944 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(390,a,5939,a),flip(a)]. 5945 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(5940(a,1),2637(a,1,2))]. 5947 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(5893(a,2),4501(a,1))]. 5948 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5902(a,1),5724(a,1,1))]. 5949 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(65,a,4628,a(flip),b,5928,a)]. 5950 T(x * y,x) / ((z * y) / z) = (((x * y) * x) / (x * y)) * K(y,z). [para(1147(a,1),5928(a,1,1))]. 5951 T(x * y,((z * y) / z) \ (x * y)) / ((z * y) / z) = ((x * y) * (x * K(y,z))) / (x * y). [para(5928(a,1),3488(a,2,1,2))]. 5954 K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). [para(5931(a,2),5026(a,1,2))]. 5955 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(5941(a,2),254(a,1,2))]. 5956 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(139,a,5943,a)]. 5957 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(11(a,1),5943(a,2,2))]. 5958 T(x,y / x) / (y \ x) = x * (y / x). [para(3609(a,2),5943(a,1,1))]. 5959 T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x. [para(81(a,1),5944(a,1,2))]. 5960 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4384(a,2),5949(a,1,1,2))]. 5961 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(290,a,4916,a,b,5958,a),flip(a)]. 5962 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(5902(a,1),5744(a,1,1))]. 5963 T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. [para(5783(a,2),383(a,1,1))]. 5965 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(100(a,1),5803(a,1,1))]. 5966 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5832(a,1),474(a,1))]. 5967 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(78(a,1),5947(a,1,1,2))]. 5968 K(x \ L(x,y,y),z) != u | K(a(y,y,x) \ 1,z) = u. [para(2222(a,1),5947(a,1,1,2))]. 5969 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(10(a,1),5966(a,1,2,1,1))]. 5970 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(4837(a,1),5966(a,1,2,1,1))]. 5971 L(K(x,y),y,z) != u | K(x,y) = u. [para(5832(a,2),5966(a,1))]. 5972 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(5425(a,1),5971(a,1))]. 5973 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(22(a,2),5969(a,1,2,1))]. 5974 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(96(a,2),5969(a,1,2,1))]. 5975 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5488(a,2),5969(a,1))]. 5977 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3282(a,1),5975(a,1))]. 5978 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(4579(a,1),5733(a,1,2))]. 5979 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(65,a,4799,a(flip),b,5768,a),flip(a)]. 5980 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(12(a,1),5979(a,1,1)),flip(a)]. 5981 T(x * (y / z),K(y / z,T(z,y))) = (y / z) * T(x,z \ y). [para(3473(a,1),5979(a,2,2,2))]. 5982 ((((x \ 1) * (x \ 1)) \ 1) * y) / z = (x * T(x,x \ 1)) * (y / z). [hyper(65,a,2236,a,b,5770,a)]. 5983 L(x,y,(z * T(z,u)) * w) = L(x,y,K(z,u) * w). [para(5770(a,1),1836(a,1,3))]. 5984 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(4233,a,5797,a)]. 5985 K(x,T(y / z,T(z,y))) = K(x,z \ y). [hyper(290,a,5790,a(flip),b,5816,a),flip(a)]. 5986 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(290,a,2390,a(flip),b,5819,a)]. 5987 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(290,a,5070,a(flip),b,5842,a),flip(a)]. 5989 K((x \ 1) \ y,y) = K(x * y,y). [hyper(5045,a,5855,a),flip(a)]. 5990 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(5855(a,2),45(a,1))]. 5991 K((1 / x) * y,y) = K(x \ y,y). [para(81(a,1),5989(a,1,1,1)),flip(a)]. 5992 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5989(a,1),4471(a,2,2)),flip(a)]. 5993 K(T(x / y,T(y,x)) \ 1,T(z / u,T(u,z))) = K(x \ y,u \ z). [hyper(290,a,5985,a(flip),b,5875,a),flip(a)]. 5996 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(5903(a,1),5724(a,1,1)),flip(a)]. 5997 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(121,a,5904,a(flip),b,100,a)]. 5998 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4443(a,1),5911(a,1,2))]. 6000 (x / (y \ 1)) \ T(x,y) != z | T(y,x) \ 1 = z. [para(5998(a,1),310(a,1,1))]. 6004 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(65,a,1451,a,b,5921,a)]. 6005 (x * K(y,x)) * K(x \ y,x) = T(y,x) / (y / x). [para(4609(a,1),5932(a,1,1))]. 6006 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(290,a,3278,a,b,5948,a),flip(a)]. 6007 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(22(a,2),5957(a,1,1,2))]. 6008 T(x,y) / ((y * x) \ x) = x * y. [para(3589(a,1),6007(a,1,1))]. 6009 (x * y) \ T(x,y) = (y * x) \ x. [hyper(183,a,6008,a)]. 6010 T(x,y) = (x * y) * ((y * x) \ x). [hyper(139,a,6008,a),flip(a)]. 6011 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(65,a,3982,a,b,6009,a)]. 6012 (T(x,y) * (y * y)) \ T(T(x,y),y * y) = ((y \ 1) \ (x * y)) \ T(x,y). [para(809(a,2),6009(a,2,1))]. 6013 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(6009(a,1),1624(a,1,1)),flip(a)]. 6014 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(6009(a,1),4261(a,1,2,1)),flip(a)]. 6015 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(6011(a,1),2290(a,1,2)),flip(a)]. 6016 (((x * y) * (1 / x)) \ (x * y)) \ (x * y) = (y * x) * (1 / x). [hyper(65,a,2752,a(flip),b,5959,a),flip(a)]. 6017 (x \ y) / (y / (y / x)) = (y / x) / x. [hyper(121,a,4488,a(flip),b,5960,a),flip(a)]. 6019 (x * K(y \ z,y)) / (y \ z) = x / (z / y). [hyper(596,a,5978,a)]. 6021 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(65,a,154,a(flip),b,6004,a),flip(a)]. 6022 (x / (x / y)) / (y \ x) = y / (x / y). [para(4384(a,2),6019(a,1,1))]. 6023 L(x * y,K(y * x,z),u) = x * y. [para(9(a,1),5751(a,2,1))]. 6024 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6023(a,1),94(a,1,2))]. 6026 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(945(a,1),5862(a,1,2))]. 6027 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1341(a,1),5862(a,1,2))]. 6028 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4709(a,1),5862(a,1))]. 6029 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(22(a,2),6028(a,1,1,1))]. 6030 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(96(a,2),6028(a,1,1,1))]. 6032 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4089(a,2),6028(a,1))]. 6033 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5219(a,2),6028(a,1))]. 6035 K(x / y,x) != z | K(y \ x,x) = z. [para(3426(a,1),6033(a,1))]. 6036 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6029,a,5157,a)]. 6037 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(6029,a,3330,a)]. 6038 K((x * y) \ y,z \ (x * z)) = K(x \ 1,x). [para(22(a,1),6037(a,1,2))]. 6040 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(6038(a,1),3038(a,1,2)),flip(a)]. 6041 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4188,a,5764,a(flip))]. 6042 R(x,y,K(z * z,u)) = x. [hyper(1759,a,5765,a)]. 6043 R(x,y,K(z * z,u)) != w | x = w. [para(6042(a,1),53(a,2))]. 6044 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5786(a,1),4824(a,1,2))]. 6045 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(5835(a,1),4899(a,1,2))]. 6046 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4372(a,1),5859(a,1,2))]. 6047 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5109,a,5864,a)]. 6048 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6028,a,5870,a),flip(a)]. 6049 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(208(a,2),5884(a,1,1,1))]. 6050 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5342,a,5927,a),flip(a)]. 6051 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5341,a,6050,a),flip(a)]. 6052 L(x,y,(z \ T(1 / z,u)) * w) = L(x,y,K(z \ 1,u) * w). [para(2331(a,1),5983(a,1,3,1))]. 6053 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(5170(a,1),5984(a,1,2))]. 6054 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(120,a,6053,a(flip),b,1112,a),flip(a)]. 6055 x * (x * (1 / T(x,y))) = (x \ 1) \ K(y,x). [para(4415(a,1),6053(a,1,2,2))]. 6056 (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. [hyper(290,a,495,a,b,5996,a),flip(a)]. 6057 (x * K(x * y,x)) * K(x \ (y * x),x) = T(y * x,x) / ((y * x) / x). [para(5094(a,1),6005(a,1,1,2))]. 6058 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(65,a,5818,a(flip),b,5813,a)]. 6059 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(5789,a,6058,a),flip(a)]. 6060 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(10(a,1),6058(a,2,2,1))]. 6061 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(10(a,1),6058(a,2,2,2))]. 6062 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(81(a,1),6058(a,1,1,2)),flip(a)]. 6063 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(96(a,2),6058(a,2,2))]. 6064 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6058(a,1),5789(a,1))]. 6065 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(10(a,1),6059(a,1,2,1)),flip(a)]. 6066 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(96(a,2),6059(a,1,2))]. 6067 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6059(a,1),4471(a,2,2))]. 6068 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(3983(a,1),6066(a,1,2))]. 6069 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(65,a,6058,a(flip),b,6063,a),flip(a)]. 6070 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(290,a,4471,a,b,6067,a),flip(a)]. 6071 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(10(a,1),6070(a,1,2,1)),flip(a)]. 6072 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6060(a,1),25(a,2,1))]. 6073 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(10(a,1),6062(a,1,2,2))]. 6074 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(97(a,2),6062(a,1,2))]. 6075 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(290,a,5599,a,b,6074,a),flip(a)]. 6076 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),6074(a,1,2,2)),flip(a)]. 6077 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(5727(a,1),6074(a,1,2,2)),flip(a)]. 6078 K(x * y,L(y,x,z)) = K(x * y,y). [hyper(5789,a,6076,a),flip(a)]. 6079 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(4103,a,6076,a),flip(a)]. 6080 K(x,L(y,y,z)) = K(x,y). [hyper(469,a,6076,a),flip(a)]. 6081 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(65,a,5794,a,b,6076,a)]. 6082 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(65,a,4085,a(flip),b,6076,a),flip(a)]. 6083 K(x,L(y,y,z)) != u | K(x,y) = u. [para(6076(a,1),468(a,1)),flip(b)]. 6084 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(290,a,4088,a,b,6082,a)]. 6085 K(x \ 1,L(x,y,z)) = K(x,x \ 1). [hyper(290,a,2561,a(flip),b,6082,a),flip(a)]. 6086 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6082(a,2),2861(a,1,1))]. 6087 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(41,a,4810,a,b,6075,a(flip))]. 6088 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6075(a,2),5603(a,1))]. 6089 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(290,a,18,a(flip),b,6087,a),flip(a)]. 6090 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),6087(a,1,1,2)),flip(a)]. 6091 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(78(a,1),6087(a,1,1,2)),flip(a)]. 6093 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5971,a,6090,a),flip(a)]. 6094 K(L(x,x,y),z) = K(x,z). [hyper(469,a,6090,a),flip(a)]. 6095 K(L(x,x,y),z) != u | K(x,z) = u. [para(6090(a,1),468(a,1)),flip(b)]. 6096 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6090(a,1),546(a,1,2))]. 6098 T(x,L(y,y,z)) = 1 / (x \ K(y,x)). [para(6094(a,1),4594(a,2,2,2))]. 6099 K(x \ (x * y),z) != u | K(y,z) = u. [para(475(a,1),6095(a,1,1))]. 6100 K(L(x,y,z),y * x) = K(x,x * y). [hyper(290,a,5047,a(flip),b,6093,a),flip(a)]. 6101 T(x,L(y,y,z)) = T(x,y). [hyper(290,a,4594,a,b,6098,a),flip(a)]. 6102 L(x,x,y) * T(z,x) = z * L(x,x,y). [para(6101(a,1),104(a,1,2))]. 6103 L(x,x,y) * T(z,x) != u | z * L(x,x,y) = u. [para(6101(a,1),268(a,1,2))]. 6106 K(T(x,y) \ y,z) != u | K(x \ T(y,x),z) = u. [para(3631(a,1),6099(a,1,1,2))]. 6107 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(96(a,1),6091(a,2,1))]. 6108 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(273(a,1),6091(a,2,1))]. 6109 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(480(a,1),6091(a,2,1))]. 6110 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(1851(a,1),6091(a,2,1))]. 6111 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(768(a,2),6091(a,2,1))]. 6112 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6076(a,1),6081(a,1,1))]. 6113 a(x,y,K(z,L(y,u,w))) = 1. [hyper(55,a,6112,a)]. 6114 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(97(a,1),6088(a,1,2))]. 6115 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(4837(a,1),6107(a,2,1,1))]. 6116 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(5971,a,6109,a)]. 6117 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(65,a,6060,a(flip),b,6109,a)]. 6118 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(487(a,2),5823(a,1,2))]. 6119 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(4782(a,1),5847(a,1))]. 6120 K((x \ 1) * y,z) != u | K((1 / x) * y,z) = u. [para(1918(a,1),6119(a,1,1))]. 6121 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(1939(a,1),6119(a,1,1))]. 6122 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(1945(a,1),6119(a,1,1))]. 6123 K((1 / (1 / x)) * y,z) != u | K(x * y,z) = u. [para(2005(a,1),6119(a,1,1))]. 6124 K((1 / (1 / x)) * (x \ y),z) != u | K(y,z) = u. [para(2010(a,2),6119(a,1,1))]. 6125 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(2548(a,1),6119(a,1,1))]. 6126 K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. [para(4138(a,1),6119(a,1,1))]. 6127 K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) = K(x \ y,z). [hyper(6121,a,4782,a(flip)),flip(a)]. 6128 K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. [para(81(a,1),6121(a,1,1,1,1))]. 6129 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(78(a,1),6123(a,1,1,1,2))]. 6130 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(78(a,1),6125(a,1,1,2,2))]. 6131 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6110(a,2),6129(a,1))]. 6132 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1645(a,1),6049(a,2,2))]. 6133 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(871,a,6056,a)]. 6135 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(3748(a,1),6061(a,2,2,1))]. 6137 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(290,a,6065,a(flip),b,6068,a),flip(a)]. 6138 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(5579,a,6086,a)]. 6139 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6089(a,2),463(a,1))]. 6140 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(78(a,1),6139(a,1,1,2))]. 6141 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(65,a,5801,a(flip),b,6108,a),flip(a)]. 6142 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6108(a,1),445(a,1,2)),flip(a)]. 6143 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(65,a,4605,a,b,6141,a)]. 6144 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6143(a,1),4269(a,2,1))]. 6145 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(290,a,6084,a(flip),b,6138,a),flip(a)]. 6146 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(488(a,1),6140(a,1,1))]. 6149 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6145(a,1),2618(a,1,1))]. 6150 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6145(a,1),3059(a,1,1))]. 6151 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6145(a,2),4815(a,1,1))]. 6152 (x * ((y * y) * T(z,u))) / z = x * ((y * y) * K(z,u)). [para(34(a,1),5743(a,1,1))]. 6153 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2703(a,2),5814(a,1,2))]. 6154 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(290,a,2800,a(flip),b,5830,a),flip(a)]. 6155 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(2614,a,6154,a)]. 6157 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(120,a,5865,a(flip),b,5755,a(flip))]. 6158 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(81(a,1),6157(a,1,2,1,2,1)),flip(a)]. 6159 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(6032,a,6110,a),flip(a)]. 6161 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(78(a,1),6159(a,1,1,1)),flip(a)]. 6163 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(78(a,1),6114(a,1,2,1,2))]. 6164 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(121,a,6155,a(flip),b,3069,a)]. 6165 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(120,a,6161,a(flip),b,5806,a)]. 6166 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5737(a,2),4646(a,1))]. 6167 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(489(a,2),5811(a,1,2))]. 6168 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6027,a,6046,a),flip(a)]. 6169 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6168(a,1),6108(a,1,1))]. 6170 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(65,a,4793,a,b,6118,a)]. 6173 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(4833,a,6151,a)]. 6174 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [hyper(290,a,6094,a(flip),b,6173,a),flip(a)]. 6175 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(120,a,6174,a(flip),b,1793,a(flip))]. 6176 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(120,a,6175,a(flip),b,1806,a(flip)),flip(a)]. 6177 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5419(a,2),6175(a,1,2))]. 6178 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(65,a,5420,a(flip),b,6177,a)]. 6179 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(65,a,5010,a(flip),b,6177,a)]. 6180 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6177(a,1),4527(a,1,1))]. 6182 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(139,a,6179,a)]. 6183 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6182(a,1),1573(a,1,1))]. 6184 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(125,a,6183,a)]. 6185 a(x,x,y) \ y = L(y,x,x). [para(2221(a,1),6184(a,1,1))]. 6186 x / L(x,y,y) = a(y,y,x). [hyper(190,a,6185,a)]. 6188 K(x,x * x) = a(x,x,x). [hyper(65,a,4705,a(flip),b,6186,a)]. 6191 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(6178(a,1),1326(a,1,1)),flip(a)]. 6192 (1 / x) * a(y,y,x) = 1 / L(x,y,y). [para(2221(a,1),6178(a,1,2))]. 6193 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(120,a,6191,a(flip),b,3076,a)]. 6194 ((x * y) * K(L(z,y,x),u)) \ w != L(z,y,x) | x * (y * T(z,u)) = w. [para(5730(a,1),49(a,1)),flip(a)]. 6195 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(5756(a,1),5961(a,1,1))]. 6196 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(81(a,1),6195(a,1,2)),flip(a)]. 6197 L(K(x,y \ z),z,u) != w | K(x,(u * y) \ (u * z)) = w. [para(5818(a,1),5974(a,1))]. 6199 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6041(a,1),6024(a,2,2))]. 6200 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(5878(a,1),6030(a,1))]. 6201 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(290,a,5308,a(flip),b,6044,a),flip(a)]. 6202 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(67(a,1),6117(a,2,1))]. 6203 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(1244(a,1),6117(a,2,1))]. 6204 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6144(a,1),5466(a,1,2)),flip(a)]. 6205 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(290,a,4837,a(flip),b,6199,a),flip(a)]. 6206 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(37,a,5430,a,b,6205,a)]. 6208 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(290,a,4835,a(flip),b,6204,a),flip(a)]. 6210 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(65,a,5829,a(flip),b,6208,a)]. 6211 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(65,a,5568,a(flip),b,6208,a)]. 6212 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(65,a,5546,a,b,6210,a)]. 6213 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2151(a,1),5711(a,1,2,1))]. 6214 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(5724(a,1),5997(a,1,2))]. 6215 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(509,a,6214,a),flip(a)]. 6216 R(T(1 / x,y * x),x,y) = (x * y) \ y. [hyper(37,a,104,a(flip),b,6014,a),flip(a)]. 6217 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(4076,a,6216,a),flip(a)]. 6218 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [para(6217(a,1),4714(a,1,1))]. 6220 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [hyper(65,a,4884,a,b,6218,a)]. 6221 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(65,a,5024,a(flip),b,6220,a)]. 6222 ((x \ 1) \ y) * K(x \ 1,y * x) = y / (x \ 1). [para(6221(a,1),4488(a,1,2))]. 6223 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(6221(a,1),4672(a,1,2)),flip(a)]. 6224 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [hyper(4226,a,6223,a)]. 6225 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [hyper(290,a,5871,a(flip),b,6224,a),flip(a)]. 6226 a(x,y * K(z \ 1,y * z),u) = a(x,z * (y / (1 / z)),u). [para(6224(a,1),2209(a,1,2))]. 6227 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(3255(a,2),6224(a,2,2))]. 6228 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [hyper(432,a,6227,a)]. 6229 a(x,y * K(z \ 1,y * z),u) = a(x,z * (y / z),u). [hyper(290,a,2935,a(flip),b,6226,a),flip(a)]. 6230 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(65,a,6108,a(flip),b,6169,a),flip(a)]. 6231 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(10(a,1),6230(a,2,1,1))]. 6232 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(3889(a,1),6213(a,1,2,1)),flip(a)]. 6233 L(x \ 1,y,z) * ((x \ 1) \ u) = L(x,y,z) * (x \ u). [para(4355(a,1),4363(a,2,1))]. 6234 x * ((x * x) \ L(x \ 1,y,z)) = L(x \ 1,y,z) / x. [para(78(a,1),4380(a,1,2)),flip(a)]. 6235 x * L((x * x) \ (x \ 1),y,z) = L(x \ 1,y,z) / x. [para(4324(a,2),6234(a,1,2))]. 6236 x * L(x \ (x \ (1 / x)),y,z) = L(x \ 1,y,z) / x. [para(2318(a,1),6235(a,1,2,1))]. 6237 L(x \ 1,y,z) / x = x \ L(1 / x,y,z). [hyper(65,a,4343,a(flip),b,6236,a),flip(a)]. 6238 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4489(a,2),1911(a,1,2))]. 6239 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4905(a,1),4570(a,1,2))]. 6240 ((1 / x) * T(1 / x,y)) * z = T(x \ 1,y) * (x \ z). [hyper(4770,a,4885,a),flip(a)]. 6241 K(x \ 1,y) * (((x \ 1) / x) / z) = ((1 / x) * T(1 / x,y)) * (1 / z). [para(2348(a,1),4885(a,1,2))]. 6243 (K(x,y) * z) \ (y * (T(T(y,x),x) \ u)) = ((K(x,y) \ 1) * z) \ u. [para(5549(a,1),4923(a,1,2))]. 6244 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(5663(a,1),5197(a,2,1,1))]. 6245 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [hyper(290,a,5925,a(flip),b,5334,a),flip(a)]. 6246 (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). [para(4710(a,1),6245(a,1,1))]. 6247 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),5462(a,1,1,2,2,1))]. 6248 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(290,a,5348,a(flip),b,6247,a),flip(a)]. 6249 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6247(a,2),5397(a,1))]. 6250 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6248(a,1),527(a,1,1))]. 6251 K(x,((y \ 1) \ R(1 / y,z,z)) \ u) = K(x,a(y,z,z) \ u). [para(2168(a,1),5473(a,2,2,1))]. 6252 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5004(a,1),5547(a,1,1))]. 6253 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(4782(a,1),6252(a,1,1,2)),flip(a)]. 6254 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4782(a,1),6253(a,1,2)),flip(a)]. 6255 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [hyper(290,a,5916,a(flip),b,6254,a),flip(a)]. 6256 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(4417(a,2),6255(a,2,2))]. 6257 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(120,a,5864,a(flip),b,6256,a(flip))]. 6258 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(290,a,284,a(flip),b,6257,a),flip(a)]. 6259 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6258(a,1),4162(a,1,1)),flip(a)]. 6260 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(3579,a,6259,a)]. 6261 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6184(a,1),6260(a,2,1,1))]. 6262 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [hyper(141,a,5574,a)]. 6263 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(5422(a,1),5606(a,1,1)),flip(a)]. 6264 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(1850(a,1),6263(a,1,1)),flip(a)]. 6265 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(1850(a,1),6264(a,1,1)),flip(a)]. 6266 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4411(a,2),5647(a,1,2)),flip(a)]. 6267 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(290,a,4794,a(flip),b,6266,a),flip(a)]. 6268 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3812(a,1),6267(a,1,2))]. 6269 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(183,a,6268,a)]. 6270 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3382(a,1),5657(a,1,1)),flip(a)]. 6271 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5387,a,6270,a)]. 6273 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(81(a,1),6271(a,1,1,2,1)),flip(a)]. 6274 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(99(a,2),6271(a,1,1))]. 6275 K(R(x,x \ 1,y),z) = K(x,z). [hyper(290,a,519,a(flip),b,6274,a),flip(a)]. 6276 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),6274(a,1,1,2)),flip(a)]. 6277 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6274(a,2),100(a,1,1))]. 6278 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4745(a,1),6274(a,1,1,2))]. 6279 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(65,a,1888,a(flip),b,6276,a),flip(a)]. 6280 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6276(a,1),31(a,1,1)),flip(a)]. 6281 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [para(6279(a,1),5628(a,1,2))]. 6282 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(141,a,6281,a)]. 6283 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(6281(a,1),4549(a,1,2)),flip(a)]. 6286 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),6273(a,2,1,2))]. 6287 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(4565,a,6283,a)]. 6288 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(4753(a,1),5658(a,1,1,1)),flip(a)]. 6289 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(290,a,4147,a(flip),b,6288,a),flip(a)]. 6290 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5397,a,6289,a)]. 6291 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(802,a,5664,a)]. 6292 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6291(a,1),5589(a,1,1,1)),flip(a)]. 6293 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(290,a,5154,a(flip),b,6292,a),flip(a)]. 6294 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6293(a,1),764(a,1,2,1)),flip(a)]. 6295 a(x,(y * z) * (y / (y * z)),u) = a(x,z * (y / z),u). [hyper(290,a,6229,a(flip),b,5888,a),flip(a)]. 6296 T(x * y,x) / ((z * y) / z) = x * (K(x * y,x) * K(y,z)). [hyper(290,a,5064,a(flip),b,5950,a),flip(a)]. 6297 ((((x \ 1) * (x \ 1)) \ 1) * y) / z = ((1 / x) \ x) * (y / z). [para(2383(a,1),5982(a,2,1))]. 6298 ((((x \ 1) * (x \ 1)) \ 1) * y) / z = x * ((x \ 1) \ (y / z)). [hyper(290,a,5499,a(flip),b,6297,a),flip(a)]. 6299 ((x * ((x \ 1) \ 1)) * y) / z = x * ((x \ 1) \ (y / z)). [para(675(a,1),6298(a,1,1,1))]. 6300 (((1 / x) \ x) * y) / z = x * ((x \ 1) \ (y / z)). [para(2381(a,1),6299(a,1,1,1))]. 6301 (x * ((x \ 1) \ y)) / z = x * ((x \ 1) \ (y / z)). [para(5499(a,1),6300(a,1,1))]. 6302 ((1 / x) * ((x \ 1) \ (x \ 1))) / y = (1 / x) * (((1 / x) \ 1) \ (x / y)). [para(2310(a,1),6301(a,1,1,2))]. 6303 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(65,a,3330,a(flip),b,5993,a)]. 6304 K(x / y,y / x) = K(y \ x,x \ y). [hyper(5387,a,6303,a)]. 6305 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(5354,a,6304,a)]. 6307 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(6305(a,2),3038(a,1,2))]. 6309 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(6307(a,1),4995(a,1,1,2))]. 6310 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1114(a,1),6054(a,1,2))]. 6311 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(18(a,2),6111(a,1,1,1,1))]. 6312 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6180(a,1),6193(a,1,2)),flip(a)]. 6313 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(65,a,4231,a(flip),b,6312,a),flip(a)]. 6314 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2613,a,6313,a)]. 6315 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(141,a,6313,a)]. 6316 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(290,a,5710,a,b,6315,a)]. 6317 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2761,a,6316,a)]. 6319 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(6317(a,1),245(a,1,2)),flip(b)]. 6320 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4492(a,1),6239(a,1,2,2)),flip(a)]. 6321 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6320(a,2),867(a,1))]. 6322 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(4712(a,1),6246(a,1,1))]. 6323 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5915(a,1),6262(a,1,2))]. 6324 R(T(x,y * K(z,y)),y,K(z,y)) = ((z * y) / z) \ (x * (y * K(z,y))). [para(5795(a,1),4624(a,2,2))]. 6325 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4660,a,4629,a)]. 6326 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4629(a,1),814(a,2,1)),flip(a)]. 6327 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(65,a,4866,a,b,6326,a)]. 6328 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6325(a,1),1666(a,1,1,2)),flip(a)]. 6329 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4631(a,1),1026(a,1,1,1))]. 6330 T(T(x,x \ 1),y) * ((1 / x) * z) = K(x,y) * L(z,x,x). [para(3260(a,1),4807(a,2,1))]. 6331 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(879(a,2),4872(a,1,2,2,1))]. 6332 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5101(a,1),5118(a,1,2))]. 6333 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(5525,a,5213,a),flip(a)]. 6334 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(290,a,5852,a(flip),b,6333,a),flip(a)]. 6335 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6028,a,6334,a)]. 6336 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(6335(a,1),4423(a,1,2))]. 6337 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6335(a,1),4814(a,1,2)),flip(a)]. 6338 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(290,a,4814,a(flip),b,6337,a),flip(a)]. 6339 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(9(a,1),5645(a,2,1,1))]. 6340 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(5904(a,1),5734(a,1,2))]. 6341 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6340(a,1),733(a,1))]. 6342 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(4969(a,1),5817(a,1,2))]. 6343 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(6116(a,1),6342(a,1,2))]. 6344 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(5863(a,2),6026(a,1))]. 6345 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(6045,a,6323,a),flip(a)]. 6346 T(x,(y \ z) * (z \ y)) = x. [hyper(56,a,6345,a)]. 6349 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),6346(a,1,2,1))]. 6351 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(383,a,6349,a),flip(a)]. 6352 K(x,y * ((z * y) \ z)) = 1. [hyper(57,a,6349,a)]. 6353 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(56,a,6349,a)]. 6355 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(208(a,2),6353(a,1,1,2))]. 6356 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(65,a,6015,a(flip),b,6355,a)]. 6358 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(290,a,104,a(flip),b,6149,a),flip(a)]. 6360 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3028(a,2),6150(a,2,2))]. 6361 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(3914(a,1),6232(a,1,1)),flip(a)]. 6362 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z | R(T(y,x),y \ 1,x * y) = z. [para(6361(a,1),310(a,1,1))]. 6363 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2241(a,1),6331(a,1,2))]. 6364 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(65,a,6358,a(flip),b,6360,a),flip(a)]. 6365 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(183,a,6364,a)]. 6366 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6365(a,1),6261(a,1,1))]. 6367 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6366(a,1),3295(a,2,1))]. 6368 x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) \ L(T(y,x),z,u). [para(22(a,2),4365(a,2,2,1))]. 6369 T(x,y) \ L(T(x,y),z,u) = y \ ((x \ L(x,z,u)) * y). [para(4352(a,1),6368(a,1,2)),flip(a)]. 6370 T(x,y) \ L(T(x,y),z,u) = T(x \ L(x,z,u),y). [hyper(290,a,22,a,b,6369,a),flip(a)]. 6372 T(x \ L(x,y,z),u) * (T(x,u) \ 1) = L(T(x,u) \ 1,y,z). [para(6370(a,1),4351(a,1,1))]. 6373 K(x,y) * L(T(y,x),z,u) = y * T(y \ L(y,z,u),x). [para(6370(a,1),4441(a,1,2)),flip(a)]. 6376 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4419(a,2),4502(a,2,2,1,1))]. 6377 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(120,a,4511,a(flip),b,4441,a),flip(a)]. 6378 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4492(a,1),4805(a,1,2)),flip(a)]. 6379 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6378(a,2),463(a,1))]. 6380 L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u)). [hyper(6379,a,4823,a),flip(a)]. 6381 L(x,y,T(y,z)) = L(x,y,y). [hyper(6379,a,448,a)]. 6382 L(L(x,y,z),z * y,K(u,z)) != w | L(x,y,T(z,u)) = w. [para(4823(a,1),6379(a,1))]. 6383 L(x,T(y,z),y) = L(x,y,y). [hyper(1185,a,6381,a)]. 6384 L(x,y / z,y / z) = L(x,z \ y,y / z). [para(106(a,1),6383(a,1,2)),flip(a)]. 6385 L(L(x,y,y),y * T(y,z),K(y,u)) != w | L(x,T(y,z),T(y,u)) = w. [para(6383(a,1),6379(a,1,1))]. 6386 L(x,T(y,z),z) = L(x,y,T(z,y)). [hyper(6321,a,6380,a)]. 6387 L(x,y,T(y,z)) != u | L(x,y,y) = u. [para(6380(a,1),468(a,1)),flip(b)]. 6388 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4782(a,1),5068(a,1,2,2))]. 6389 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4583(a,1),5117(a,1,1))]. 6390 (x * y) * K(((x * y) \ T(y,x)) \ 1,z) = T(T(x,y),z) * T(y,x). [hyper(290,a,3617,a(flip),b,5222,a),flip(a)]. 6391 (x * y) * K(T(y,x) \ (x * y),z) = T(T(x,y),z) * T(y,x). [hyper(65,a,5871,a(flip),b,6390,a)]. 6392 (x * y) * K(T(T(x,y),y),z) = T(T(x,y),z) * T(y,x). [para(3958(a,1),6391(a,1,2,1))]. 6393 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3344(a,1),5378(a,1,3))]. 6394 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(5557(a,1),5446(a,1,2))]. 6395 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(5549(a,1),5464(a,1,2,2,2))]. 6396 ((x \ 1) \ 1) * (x * (1 / T(x,x \ y))) = x * (1 * K(x \ y,x)). [para(5920(a,1),5529(a,2,2))]. 6397 ((x \ 1) \ 1) * (x * (1 / T(x,x \ y))) = x * K(x \ y,x). [para(7(a,1),6396(a,2,2))]. 6398 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5330(a,1),5642(a,1,2))]. 6399 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(81(a,1),5678(a,1,1,1,1,2)),flip(a)]. 6400 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [hyper(65,a,5871,a(flip),b,6399,a)]. 6401 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(36,a,2509,a,b,6400,a)]. 6402 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(78(a,1),6401(a,2,1,2))]. 6403 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(1704(a,1),5679(a,1,1))]. 6404 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1511(a,1),6403(a,1,1)),flip(a)]. 6406 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5732(a,1),5774(a,1,2)),flip(a)]. 6407 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6406(a,2),509(a,1))]. 6408 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(6407,a,31,a),flip(a)]. 6409 (T(x,y) * (y * y)) \ T(x,y * (y * y)) = ((y \ 1) \ (x * y)) \ T(x,y). [para(1722(a,1),6012(a,1,2))]. 6410 T(x * y,y) / ((x * y) / y) = (y * K(y * x,y)) * K(x,y). [para(4578(a,1),6057(a,1,2)),flip(a)]. 6411 T(x * y,y) / ((x * y) / y) = y * (K(y * x,y) * K(x,y)). [hyper(290,a,5101,a(flip),b,6410,a),flip(a)]. 6412 x * (K(x * y,x) * K(y,x)) = T(y * x,x) / y. [para(11(a,1),6411(a,1,2)),flip(a)]. 6413 K(x \ 1,y) * (((x \ 1) / x) / x) = ((1 / x) * (1 / x)) * T(1 / x,y). [hyper(290,a,1392,a(flip),b,6241,a),flip(a)]. 6414 (1 / x) * (((1 / x) \ 1) \ (x / y)) = ((1 / x) * 1) / y. [para(68(a,1),6302(a,1,1,2)),flip(a)]. 6415 (1 / x) * (((1 / x) \ 1) \ (x / y)) = (1 / x) / y. [para(8(a,1),6414(a,2,1))]. 6417 (1 / x) * (x \ (x / y)) = (1 / x) / y. [para(81(a,1),6415(a,1,2,1))]. 6418 (x * x) \ (x / y) = (1 / x) / y. [hyper(65,a,664,a(flip),b,6417,a)]. 6419 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(6314(a,1),2653(a,2,1)),flip(a)]. 6420 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(5691(a,1),6394(a,2,1))]. 6421 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4194(a,1),6404(a,1,2)),flip(a)]. 6422 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(290,a,4633,a,b,6421,a)]. 6423 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(9(a,1),6422(a,2,2,1)),flip(a)]. 6424 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(4811(a,1),6423(a,1,2))]. 6425 (x * x) \ (T(y,x) \ T(y,x * (x * x))) = ((x \ 1) \ (y * x)) \ T(y,x). [hyper(561,a,6409,a)]. 6426 K(x \ 1,y) * (((x \ 1) / x) / x) = (x \ 1) * (x \ T(1 / x,y)). [hyper(119,a,2333,a(flip),b,6413,a),flip(a)]. 6427 K(x \ 1,y) * ((x \ (1 / x)) / x) = (x \ 1) * (x \ T(1 / x,y)). [para(2317(a,1),6426(a,1,2,1))]. 6428 K(x \ 1,y) * ((x * x) \ (x \ 1)) = (x \ 1) * (x \ T(1 / x,y)). [para(2356(a,1),6427(a,1,2))]. 6429 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(4412(a,2),6420(a,2,1,1))]. 6430 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [hyper(290,a,3073,a(flip),b,6429,a),flip(a)]. 6431 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(141,a,6430,a),flip(a)]. 6432 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(105(a,1),6431(a,2,2,2))]. 6433 (x * x) \ (K(y,x * (x * x)) * K(x,y)) = ((x \ 1) \ (y * x)) \ T(y,x). [para(5072(a,1),6425(a,1,2))]. 6434 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(271,a,4323,a),flip(a)]. 6435 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6212(a,1),6434(a,2,2))]. 6437 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(290,a,4523,a(flip),b,4659,a),flip(a)]. 6438 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(6437(a,1),307(a,1,2))]. 6439 R(x,y * K(x,y),(y * K(x,y)) \ 1) = (T(x,y) * y) * (y \ K(y,x)). [para(4870(a,1),4863(a,2,2))]. 6440 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5006(a,1),5007(a,2,1))]. 6442 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(37,a,100,a,b,6440,a)]. 6443 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(37,a,3384,a(flip),b,6440,a),flip(a)]. 6444 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(37,a,1868,a(flip),b,6440,a),flip(a)]. 6445 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),6443(a,1,2,1))]. 6446 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6444(a,2),6287(a,1,2))]. 6447 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4782(a,1),6442(a,1,1)),flip(a)]. 6448 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5348(a,1),6442(a,1,1)),flip(a)]. 6449 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5790(a,1),6442(a,1,1)),flip(a)]. 6450 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6447(a,1),4471(a,2,2))]. 6451 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6447(a,1),5441(a,1,1)),flip(a)]. 6452 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(614,a,6451,a)]. 6453 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(537,a,6451,a)]. 6454 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(535,a,6451,a)]. 6455 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(290,a,100,a(flip),b,6451,a),flip(a)]. 6456 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(65,a,4937,a(flip),b,6451,a),flip(a)]. 6457 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6451(a,2),132(a,1)),flip(b)]. 6459 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(252,a,6452,a)]. 6461 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(4725(a,1),6452(a,1,2,1))]. 6462 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(5400,a,6448,a),flip(a)]. 6464 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(611(a,1),6448(a,1,2)),flip(a)]. 6465 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),6462(a,2,2,1))]. 6466 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),6462(a,2,2,2))]. 6467 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(78(a,1),6462(a,1,1,2)),flip(a)]. 6468 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5824(a,1),6466(a,1,1))]. 6469 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(99(a,2),6467(a,1,2))]. 6470 R(K(x,y),T(y,z),u) = K(x,y). [para(3189(a,1),6467(a,1,2)),flip(a)]. 6471 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(121,a,6470,a(flip),b,2592,a)]. 6472 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(120,a,6470,a(flip),b,2592,a)]. 6473 R(K(x,y),y,z) = K(x,y). [para(103(a,1),6470(a,1,2))]. 6474 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6470(a,1),100(a,1,1)),flip(a)]. 6475 R(K(x,y),y \ 1,z) = K(x,y). [hyper(65,a,1733,a,b,6473,a)]. 6476 K((x * y) / z,x) = K(x / (z / y),x). [hyper(65,a,6286,a(flip),b,6473,a)]. 6477 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(65,a,5435,a(flip),b,6473,a)]. 6478 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(782(a,1),6477(a,1,1,1))]. 6479 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(9(a,1),6469(a,1,2,2)),flip(a)]. 6480 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(22(a,2),6469(a,1,2,2)),flip(a)]. 6481 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(179(a,1),6469(a,1,2,2)),flip(a)]. 6482 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4746(a,1),6469(a,1,2,2)),flip(a)]. 6483 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(290,a,5880,a(flip),b,6476,a),flip(a)]. 6485 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(3389,a,6479,a),flip(a)]. 6486 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(65,a,5435,a(flip),b,6479,a)]. 6487 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6479(a,1),27(a,2,1))]. 6488 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6479(a,1),5073(a,1,1))]. 6489 K(x,y) / z != K(x,y) * T(y,u) | T(y,u) \ 1 = z. [para(6471(a,1),47(a,1)),flip(a)]. 6490 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(4731(a,1),6472(a,1,1))]. 6491 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(3389,a,6468,a),flip(a)]. 6492 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(290,a,5348,a,b,6468,a),flip(a)]. 6493 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6468(a,1),3389(a,1))]. 6495 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1569(a,1),6491(a,1,2)),flip(a)]. 6496 L(x,T(y,z),K(u,y)) = x. [hyper(459,a,6474,a)]. 6497 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(534(a,1),6445(a,1,2,1)),flip(a)]. 6499 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(11(a,1),6492(a,1,1,2,1))]. 6500 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6492(a,1),27(a,2,1))]. 6501 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(12(a,1),6499(a,2,2,1,2))]. 6502 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4356(a,1),6495(a,1,2,1))]. 6503 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(65,a,6065,a(flip),b,6502,a)]. 6504 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1317(a,1),6503(a,1,2)),flip(a)]. 6505 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(65,a,6453,a,b,6459,a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(120,a,6470,a(flip),b,6459,a(flip)),flip(a)]. 6507 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5059(a,1),6506(a,1,1))]. 6508 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [hyper(290,a,6475,a(flip),b,6461,a),flip(a)]. 6510 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(38,a,5671,a,b,6508,a)]. 6511 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(38,a,4835,a,b,6508,a)]. 6512 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [hyper(120,a,6508,a(flip),b,168,a(flip)),flip(a)]. 6514 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4870(a,2),6512(a,1,1))]. 6515 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(4819,a,6510,a),flip(a)]. 6516 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1495,a,6510,a)]. 6517 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6515(a,1),101(a,2,2))]. 6518 (x * (1 / y)) * T(y,z) = (x * y) * (y \ K(y,z)). [para(6516(a,1),4483(a,1,2)),flip(a)]. 6519 T(x,y) * ((x * x) \ z) = (x \ K(x,y)) * z. [hyper(5133,a,6511,a)]. 6520 (x \ K(x,y)) * (T(x,x \ 1) * z) = K(x,y) * ((1 / x) * (x * z)). [para(5295(a,1),6511(a,1,2)),flip(a)]. 6521 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(65,a,5641,a,b,6514,a)]. 6522 (x * y) * (y \ K(y,z)) = R(x,y,y) * K(y,z). [hyper(65,a,5775,a,b,6518,a),flip(a)]. 6523 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(3902,a,6446,a)]. 6524 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(139,a,6523,a)]. 6525 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(229,a,6524,a,b,1243,a)]. 6526 x / R(x,y,z) = R(x,y,z) \ x. [hyper(65,a,1663,a(flip),b,6524,a)]. 6528 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(139,a,6526,a)]. 6529 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6526(a,1),6462(a,1,1,2))]. 6530 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(3907(a,1),6528(a,1,1,1))]. 6531 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6528(a,1),4149(a,1,1,1))]. 6532 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(4563,a,6531,a)]. 6533 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6485(a,1),6481(a,1,1))]. 6534 (x \ K(x,y)) * (T(x,x \ 1) * z) = K(x,y) * L(z,x,x). [para(665(a,1),6520(a,2,2))]. 6535 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5209,a,6501,a)]. 6536 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(290,a,5348,a(flip),b,6535,a),flip(a)]. 6538 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6536(a,1),5387(a,1))]. 6539 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(65,a,6276,a(flip),b,6533,a),flip(a)]. 6540 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6539(a,1),4835(a,1,2,1)),flip(a)]. 6541 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6540(a,2),4845(a,1))]. 6542 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5305(a,1),5307(a,1,3)),flip(a)]. 6543 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6542(a,1),46(a,1))]. 6544 ((1 / x) * (K(x,y) * z)) * a(x,K(x,y),z) = (K(x,y) * (1 / x)) * z. [para(2168(a,1),5340(a,1,2))]. 6545 ((1 / x) * (K(x,y) * z)) * 1 = (K(x,y) * (1 / x)) * z. [para(4499(a,1),6544(a,1,2))]. 6546 (K(x,y) * (1 / x)) * z = (1 / x) * (K(x,y) * z). [hyper(133,a,6545,a),flip(a)]. 6548 (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z. [para(3383(a,1),6546(a,1,1)),flip(a)]. 6549 (K(x,y) / x) * K(y,x) = 1 / x. [hyper(4819,a,6548,a),flip(a)]. 6550 ((K(x,x \ 1) / x) * y) / (1 / x) = ((1 / x) * y) / (x \ 1). [para(6548(a,1),2632(a,1,1))]. 6551 (K(x,y) / x) * (x * z) = (1 / x) * (T(x,y) * z). [para(4492(a,1),6548(a,1,2)),flip(a)]. 6552 L(x \ (T(x,y) * z),x,x) = (K(x,y) / x) * (x * z). [hyper(290,a,663,a,b,6551,a)]. 6553 (K(x,y) / x) * (x * z) = L(K(x,y) * z,x,x). [para(4724(a,1),6552(a,1,1)),flip(a)]. 6554 ((1 / x) * y) / (x \ 1) = ((x \ 1) * y) / (1 / x). [para(2562(a,1),6550(a,1,1,1)),flip(a)]. 6555 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(4687,a,5526,a),flip(a)]. 6556 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1663(a,1),6555(a,1,1))]. 6557 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(290,a,6525,a(flip),b,6556,a),flip(a)]. 6558 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(6526(a,1),6557(a,1,1))]. 6559 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(229,a,6558,a,b,10,a)]. 6561 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(6194,a,5900,a),flip(a)]. 6563 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),6329(a,2,1,1))]. 6564 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(6362,a,2458,a),flip(a)]. 6565 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(290,a,5348,a(flip),b,6497,a),flip(a)]. 6566 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(65,a,6448,a(flip),b,6565,a)]. 6567 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5824(a,1),6566(a,1,1))]. 6568 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(65,a,6276,a(flip),b,6567,a),flip(a)]. 6569 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(10(a,1),6568(a,1,2,1,1)),flip(a)]. 6570 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(5103(a,1),6568(a,1,2,1))]. 6571 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(65,a,6274,a(flip),b,6569,a),flip(a)]. 6574 (x * y) \ (x * (y * (z \ L(z,u,w)))) = L(z,y,x) \ L(L(z,y,x),u,w). [para(4342(a,1),4346(a,1,2,2,2))]. 6575 L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z). [hyper(463,a,6574,a),flip(a)]. 6576 L(x,y,z) \ L(L(x,y,z),u,w) != v5 | L(x \ L(x,u,w),y,z) = v5. [para(6574(a,1),463(a,1))]. 6577 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5918(a,1),4524(a,2,1))]. 6578 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4435(a,1),6577(a,1,1,1))]. 6579 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(183,a,6578,a)]. 6580 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(3747(a,1),6579(a,1,1,2))]. 6581 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(5305(a,1),4826(a,1,2,1))]. 6582 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(226(a,1),4920(a,1,2)),flip(a)]. 6583 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4810(a,1),6582(a,1,1,2,1))]. 6584 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(227(a,1),4921(a,1,2)),flip(a)]. 6585 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4810(a,1),6584(a,1,1,2,1))]. 6586 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4905(a,1),5076(a,1,2))]. 6587 K(x,y) * ((z * z) * ((u * x) / ((z * z) * u))) = T(x,y) * K((z * z) * u,x). [para(623(a,1),5228(a,1,2))]. 6588 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(5625(a,1),5454(a,1,2,2,1,2))]. 6589 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K((1 / y) / x,z),u). [para(5195(a,1),5458(a,2,1))]. 6590 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5086(a,1),5516(a,1,1))]. 6591 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5634(a,1),6590(a,1,1,1))]. 6592 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(290,a,2050,a(flip),b,5558,a),flip(a)]. 6593 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(290,a,3766,a(flip),b,6592,a),flip(a)]. 6594 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6047(a,1),5573(a,1,1,1))]. 6595 K(x,y * (z * ((u \ 1) \ R(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). [para(2168(a,1),5654(a,2,2,2,2))]. 6596 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(65,a,1094,a(flip),b,6377,a)]. 6597 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(65,a,6332,a(flip),b,6586,a),flip(a)]. 6598 L(x,y,z * K(u,z)) = L(x,y,T(z,u)). [hyper(6382,a,6597,a),flip(a)]. 6599 L(x,y,z * K(u,z)) != w | L(x,y,T(z,u)) = w. [para(6597(a,1),6382(a,1))]. 6600 L(x,y,T(z \ u,z)) = L(x,y,u / z). [para(4488(a,1),6598(a,1,3)),flip(a)]. 6601 L(x,y \ z,z / y) = L(x,y \ z,y \ z). [hyper(6387,a,6600,a),flip(a)]. 6602 L(x,y / z,y / z) = L(x,z \ y,z \ y). [hyper(65,a,6384,a,b,6601,a)]. 6603 K(x,y) * T((z * x) / z,u \ (u \ 1)) = T(x,y) * K((u * u) * z,x). [para(1005(a,1),6587(a,1,2))]. 6604 T(T(x * K(y * y,x),y),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(4866(a,1),4941(a,1,1))]. 6605 K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. [hyper(5114,a,5510,a)]. 6607 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2994(a,1),5556(a,1,2,1,1))]. 6608 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3257(a,1),6607(a,1,2))]. 6609 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(267,a,5637,a),flip(a)]. 6610 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2437(a,1),6609(a,2,1))]. 6611 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(65,a,2460,a(flip),b,6610,a)]. 6612 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(65,a,6465,a(flip),b,6250,a),flip(a)]. 6613 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4306(a,1),6612(a,1,1))]. 6614 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6249,a,6613,a)]. 6616 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(3907(a,1),6530(a,1,2))]. 6617 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(321,a,6616,a)]. 6618 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(65,a,4094,a(flip),b,6617,a)]. 6619 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(6618(a,1),213(a,1,2))]. 6620 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(5633(a,2),6611(a,1,1))]. 6621 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(6040(a,1),6620(a,2,1))]. 6622 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(5635(a,1),6621(a,1,1))]. 6623 T(x,x \ y) * K(x \ (x \ y),T(x,x \ y)) = (y / x) / ((x \ y) / x). [para(3511(a,1),4392(a,1,2,1))]. 6624 T(x * K(x \ (x \ y),x),x \ y) = (y / x) / ((x \ y) / x). [hyper(5345,a,6623,a)]. 6625 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(290,a,4163,a,b,5763,a)]. 6626 ((x * (T(x \ 1,x) \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,T(x,x \ 1)). [para(3939(a,1),5848(a,1,1,1,2))]. 6627 ((x * (T(x \ 1,x) \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,x). [para(2640(a,1),6626(a,2,2))]. 6628 ((x * ((1 / x) \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,x). [para(2563(a,1),6627(a,1,1,1,2,1))]. 6629 ((x * x) \ y) * T(x,x \ 1) = (x \ 1) * T(y,x). [para(81(a,1),6628(a,1,1,1,2))]. 6630 ((x * x) \ y) * L(x,x,x) = (x \ 1) * T(y,x). [para(2666(a,1),6629(a,1,2))]. 6631 T(x * (1 / y),y * y) = (y \ 1) * T(x,y). [hyper(65,a,995,a(flip),b,6630,a)]. 6632 (x \ 1) * T(y / (1 / x),x) = T(y,x * x). [para(12(a,1),6631(a,1,1)),flip(a)]. 6633 (x \ 1) \ T(y,x * x) = T(y / (1 / x),x). [hyper(125,a,6632,a)]. 6634 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(37,a,4232,a(flip),b,6367,a),flip(a)]. 6635 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3249(a,1),6625(a,1,1)),flip(a)]. 6636 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(6635(a,1),5802(a,1,1)),flip(a)]. 6637 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3305(a,1),5455(a,1,2)),flip(a)]. 6638 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(290,a,5472,a(flip),b,6637,a)]. 6639 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(290,a,5351,a(flip),b,6638,a),flip(a)]. 6641 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(290,a,4782,a(flip),b,6639,a),flip(a)]. 6642 K((x \ 1) * y,x) = K(x \ y,x). [para(9(a,1),6641(a,1,1,2)),flip(a)]. 6643 K((1 / x) * y,x) = K(x \ y,x). [hyper(6120,a,6642,a)]. 6645 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(22(a,2),6643(a,2,1))]. 6646 ((1 / x) * y) \ K(x \ y,x) = L(y / x,x,x) \ 1. [para(6643(a,1),4868(a,1,2))]. 6647 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(819(a,1),6645(a,1,1))]. 6648 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(65,a,5247,a(flip),b,6647,a)]. 6649 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(6648(a,1),4813(a,1,1))]. 6650 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4828,a,6649,a),flip(a)]. 6651 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(65,a,5021,a(flip),b,6650,a),flip(a)]. 6652 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2470(a,2),6650(a,1,2,1)),flip(a)]. 6653 K(x,(x \ 1) * y) * y = x * (y / x). [para(6650(a,2),4496(a,1,1))]. 6654 K(x,(1 / x) * y) * y = x * (y / x). [para(5017(a,2),6653(a,1,1))]. 6655 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5043(a,1),6654(a,1,1))]. 6656 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(65,a,6221,a(flip),b,6651,a)]. 6657 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4639,a,6656,a)]. 6658 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6656(a,2),5207(a,2,2))]. 6659 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(36,a,4413,a,b,6657,a),flip(a)]. 6660 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(290,a,3897,a(flip),b,6659,a),flip(a)]. 6661 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(6659(a,1),2290(a,1,2,1,1))]. 6662 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(6659(a,2),2290(a,1,1))]. 6663 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(10(a,1),6660(a,1,2))]. 6664 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6663(a,2),6065(a,1,2,1))]. 6665 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(3904,a,6658,a),flip(a)]. 6666 x * K(y,x * (y \ 1)) = y * (x / y). [para(3257(a,1),6665(a,1,2))]. 6667 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(36,a,4672,a,b,6666,a),flip(a)]. 6668 (x / (y \ 1)) * K(y,x) = y * ((x / (y \ 1)) / y). [para(12(a,1),6666(a,1,2,2))]. 6669 x * K(y,x * (1 / y)) = y * (x / y). [para(5027(a,2),6666(a,1,2))]. 6670 K(x,y * (1 / x)) = K(x,x \ y). [hyper(65,a,5027,a,b,6667,a)]. 6671 x * K(x,x \ (x * y)) = T(x,R(y,x,x \ 1)). [para(6667(a,1),4541(a,1,2))]. 6672 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6670(a,1),4814(a,1,2)),flip(a)]. 6673 T(x,y * (1 / x)) = T(x,y / x). [hyper(229,a,6669,a(flip),b,5731,a),flip(a)]. 6675 T(x,(y / (1 / x)) / x) = T(x,y). [para(12(a,1),6673(a,1,2)),flip(a)]. 6676 K(x * (1 / y),y) = K(y \ x,y). [hyper(290,a,4814,a(flip),b,6672,a),flip(a)]. 6677 K(x * (y \ 1),y) = K(y \ x,y). [hyper(6130,a,6676,a)]. 6678 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(290,a,6643,a,b,6676,a)]. 6679 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(78(a,1),6676(a,1,1,2)),flip(a)]. 6680 K(x \ (y / (x \ 1)),x) = K(y,x). [para(12(a,1),6677(a,1,1)),flip(a)]. 6681 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6677(a,2),278(a,1,2))]. 6682 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(6680(a,1),4632(a,2,2))]. 6683 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(290,a,4985,a(flip),b,6678,a),flip(a)]. 6684 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(81(a,1),6681(a,1,2,1,2)),flip(a)]. 6685 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(290,a,5810,a(flip),b,6679,a),flip(a)]. 6686 T(x,R(y,x,x \ 1)) = x * K(x,y). [para(9(a,1),6671(a,1,2,2)),flip(a)]. 6688 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [para(6686(a,2),4551(a,1,1)),flip(a)]. 6690 K(R(x,y,y \ 1),y) = K(x,y). [hyper(290,a,4400,a,b,6688,a)]. 6691 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6690(a,1),5923(a,1,1))]. 6693 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(6124,a,6683,a),flip(a)]. 6694 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(4874,a,6684,a)]. 6695 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5791(a,1),6684(a,2,2))]. 6696 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(11(a,1),6655(a,2,2))]. 6697 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4567,a,6696,a),flip(a)]. 6698 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(65,a,6275,a,b,6697,a)]. 6699 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(65,a,3849,a(flip),b,6691,a),flip(a)]. 6700 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1318(a,1),6699(a,1,2,1))]. 6701 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(183,a,6700,a),flip(a)]. 6702 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(334,a,6701,a)]. 6703 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(125,a,6701,a)]. 6704 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6701(a,1),3341(a,1,2)),flip(a)]. 6705 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(6682(a,1),2758(a,2,1,2))]. 6706 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(5966,a,6685,a)]. 6708 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(2757(a,1),6705(a,1,2,1))]. 6709 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(6682(a,1),6708(a,1,2)),flip(a)]. 6710 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(183,a,6709,a)]. 6711 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(5796(a,1),6710(a,1,1))]. 6712 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(802,a,6711,a)]. 6713 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(141,a,6711,a)]. 6715 L(x,K(y,x),z) = x. [para(3428(a,1),6712(a,1,1))]. 6716 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6715(a,1),456(a,1,2,1))]. 6717 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6715(a,1),457(a,1,2,1))]. 6718 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6715(a,1),458(a,1,2,1))]. 6721 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(290,a,5795,a,b,6713,a),flip(a)]. 6723 (x * K(y,z)) * K(z,y) = x. [hyper(37,a,5850,a(flip),b,6713,a),flip(a)]. 6724 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(121,a,6713,a(flip),b,5850,a)]. 6725 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(4443(a,1),6713(a,1,1)),flip(a)]. 6726 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5732(a,1),6713(a,1,1)),flip(a)]. 6727 x / K(y,z) = x * K(z,y). [hyper(296,a,6723,a),flip(a)]. 6731 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(229,a,6723,a,b,4837,a)]. 6732 (x * K(y,z)) \ x = K(z,y). [hyper(125,a,6723,a)]. 6733 (x / y) * K(x,y) = T(x,y) / y. [hyper(37,a,5754,a,b,6723,a),flip(a)]. 6734 (x * T(y,z)) * K(z,y) = x * y. [hyper(37,a,5732,a,b,6723,a),flip(a)]. 6735 (x / y) * K(z,y) = x / T(y,z). [hyper(37,a,5729,a,b,6723,a),flip(a)]. 6736 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(37,a,5321,a,b,6723,a),flip(a)]. 6737 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(37,a,4651,a,b,6723,a),flip(a)]. 6738 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(37,a,5931,a(flip),b,6723,a),flip(a)]. 6739 (x * K(y,z)) / z = x / T(z,y). [hyper(121,a,6723,a(flip),b,5731,a),flip(a)]. 6740 x * K(y,z) != u | u * K(z,y) = x. [para(6723(a,1),46(a,1)),flip(a)]. 6741 x / K(y,z) != u | x * K(z,y) = u. [para(6723(a,1),297(a,1,1)),flip(b)]. 6742 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6723(a,1),307(a,1,2))]. 6744 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6723(a,1),94(a,1,1))]. 6745 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(6723(a,1),101(a,2,1))]. 6746 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6723(a,1),733(a,1,1,2))]. 6747 (x * K(y,z)) * T(z,y) = x * z. [para(6723(a,1),5724(a,1,1)),flip(a)]. 6748 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6723(a,1),6256(a,1,1)),flip(a)]. 6749 (x / T(y,z)) / K(z,y) = x / y. [hyper(290,a,5729,a(flip),b,6727,a),flip(a)]. 6750 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(65,a,6096,a(flip),b,6727,a),flip(a)]. 6751 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(120,a,6096,a(flip),b,6727,a(flip))]. 6752 (x * K(y,z)) * K(z,y) != u | x = u. [para(6727(a,1),242(a,1,1))]. 6753 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6727(a,1),277(a,1,1))]. 6756 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(6727(a,1),3108(a,1,1,2))]. 6757 R(x / (y * K(x,z)),y / K(z,x),K(z,x)) = (K(z,x) * x) / y. [para(6727(a,1),3450(a,1,1,2))]. 6758 x / (K(y,z) \ 1) = x * K(y,z). [para(4810(a,2),6727(a,1,2))]. 6759 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6727(a,1),5349(a,2,2))]. 6760 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5148(a,1),6732(a,1,1))]. 6761 K(x,L(y \ 1,z,u) \ 1) = (w * L(K(y,x),z,u)) \ w. [para(5587(a,1),6732(a,1,1,2)),flip(a)]. 6762 (x * T(y,z)) \ (x * y) = K(z,y). [para(5732(a,1),6732(a,1,1))]. 6763 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5755(a,2),6732(a,1,1))]. 6764 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6274(a,1),6732(a,1,1,2)),flip(a)]. 6765 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(6561(a,1),6732(a,1,1))]. 6766 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5406,a,6733,a)]. 6767 (x / T(y,z)) * y = x * K(z,y). [hyper(296,a,6734,a),flip(a)]. 6768 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(229,a,6734,a,b,4837,a)]. 6772 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6734(a,1),497(a,1,2)),flip(a)]. 6773 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6734(a,1),5724(a,1,1)),flip(a)]. 6774 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(120,a,6735,a(flip),b,5104,a(flip)),flip(a)]. 6776 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(6735(a,1),316(a,1))]. 6777 (x * (y * y)) * K(z,y \ (y \ 1)) = x / T(y \ (y \ 1),z). [para(718(a,1),6735(a,1,1))]. 6778 (x * y) / T(y * x,z) = K(x,y) * K(z,y * x). [para(4399(a,2),6735(a,1,1)),flip(a)]. 6780 (x / ((y \ 1) \ 1)) * K(z,y) = x / T((y \ 1) \ 1,z). [para(4782(a,1),6735(a,1,2))]. 6781 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(6739(a,1),106(a,1,1))]. 6784 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6739(a,1),3733(a,1,1,2))]. 6785 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6739(a,1),3734(a,1,1,1,2))]. 6786 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6739(a,1),5731(a,1,1))]. 6787 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6739(a,1),5960(a,1,1)),flip(a)]. 6788 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(125,a,6747,a)]. 6789 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(121,a,4496,a(flip),b,6747,a)]. 6790 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(120,a,4401,a(flip),b,6747,a)]. 6792 a(x,y,K(z,u) * u) = a(x,y,T(u,z)). [para(6747(a,1),2191(a,1,3))]. 6793 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6749(a,1),241(a,1,1)),flip(b)]. 6795 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6762(a,1),245(a,1,2)),flip(b)]. 6796 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(37,a,4717,a,b,6767,a),flip(a)]. 6800 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(6767(a,1),311(a,1,2))]. 6802 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6142(a,2),6742(a,1,1))]. 6804 x * K(y,z) != u | x / K(z,y) = u. [para(12(a,1),6752(a,1,1))]. 6809 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. [para(5856(a,1),6752(a,1,1))]. 6811 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(5326,a,6731,a)]. 6813 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(6731(a,1),378(a,1,2,1))]. 6814 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6731(a,1),5322(a,1,1)),flip(b)]. 6815 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(4811(a,2),6736(a,1,1))]. 6817 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6738(a,1),972(a,2,1,2))]. 6818 (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(6738(a,1),2656(a,1,2,1))]. 6820 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(945(a,1),6763(a,1,1))]. 6821 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1391(a,1),6763(a,1,1))]. 6822 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1502(a,1),6763(a,1,1))]. 6823 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2254(a,1),6763(a,1,1))]. 6826 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(120,a,94,a(flip),b,6773,a)]. 6827 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6773(a,1),3645(a,1,2))]. 6828 a(x,y,z * K(u,z)) = a(x,y,T(z,u)). [para(3429(a,1),6792(a,1,3))]. 6829 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6811(a,1),5322(a,1,1)),flip(b)]. 6830 x / T(K(y,z),x) = K(y,z) \ x. [hyper(37,a,3599,a,b,6815,a)]. 6831 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(183,a,6830,a)]. 6832 (K(x,y) * z) \ z = T(K(y,x),z). [para(4811(a,1),6831(a,1,1))]. 6833 (K(x,y) * z) * T(K(y,x),z) = z. [hyper(141,a,6832,a)]. 6834 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6760(a,1),1340(a,2,2,1))]. 6835 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(182(a,1),6793(a,1,1))]. 6837 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(4640,a,6725,a)]. 6838 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6726(a,1),4861(a,1,1))]. 6839 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [hyper(121,a,12,a(flip),b,6748,a),flip(a)]. 6840 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [hyper(65,a,6668,a(flip),b,6839,a),flip(a)]. 6841 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6750(a,1),45(a,1)),flip(a)]. 6842 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(6751(a,1),245(a,1,2)),flip(b)]. 6843 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(5732(a,1),6829(a,1,1))]. 6844 R(x,K(y,z),T(z,u)) = x. [hyper(503,a,6716,a)]. 6845 R(x,K(y,z),T(z,u)) != w | x = w. [para(6844(a,1),53(a,2))]. 6846 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(65,a,6469,a(flip),b,6764,a),flip(a)]. 6847 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(190,a,6846,a)]. 6848 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(142,a,6846,a),flip(a)]. 6850 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(4964(a,1),6766(a,1,2))]. 6851 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(6850(a,1),602(a,1,2))]. 6852 (x * y) / T(y * x,z) != u | K(x,y) * K(z,y * x) = u. [para(6790(a,1),300(a,1,2)),flip(b)]. 6853 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(6845,a,6753,a),flip(a)]. 6854 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(1076(a,2),6753(a,2,2))]. 6855 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(4834(a,1),6753(a,2,2))]. 6856 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3365(a,1),6853(a,1,2)),flip(a)]. 6857 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4730(a,1),6853(a,1,2)),flip(a)]. 6858 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4731(a,1),6853(a,1,2)),flip(a)]. 6859 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6858(a,1),5724(a,1,1)),flip(a)]. 6860 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6827(a,1),733(a,1))]. 6861 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(65,a,6786,a(flip),b,6859,a)]. 6862 R(x,K(y,z),R(z,u,w)) = x. [hyper(503,a,6717,a)]. 6863 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(65,a,6753,a(flip),b,6862,a)]. 6864 R(x,K(y,z),L(z,u,w)) = x. [hyper(503,a,6718,a)]. 6865 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(5604,a,6761,a),flip(a)]. 6866 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(190,a,6865,a)]. 6867 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(144,a,6865,a),flip(a)]. 6869 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(94(a,1),6865(a,1,1))]. 6870 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(445(a,1),6865(a,1,1))]. 6871 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6867(a,1),45(a,1)),flip(a)]. 6872 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6867(a,1),307(a,1,2))]. 6873 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(945(a,1),6820(a,1,1,2))]. 6874 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1489(a,1),6820(a,1,1,2))]. 6875 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(290,a,25,a,b,6826,a),flip(a)]. 6877 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6856(a,1),2517(a,1,1)),flip(a)]. 6878 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6856(a,1),4273(a,1,2))]. 6879 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4435(a,1),6875(a,2,1))]. 6880 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(509,a,6838,a),flip(a)]. 6881 (x * (y * y)) * K(y * y,z) = x / T(y \ (y \ 1),z). [para(5182(a,1),6777(a,1,2))]. 6882 x / T(y \ (y \ 1),z) = x * T(y * y,z). [hyper(5803,a,6881,a),flip(a)]. 6883 T(x \ (x \ 1),y) = T(x * x,y) \ 1. [hyper(6489,a,6882,a),flip(a)]. 6884 (x * x) \ K(y,x * x) = T(x \ (x \ 1),y). [hyper(290,a,4417,a(flip),b,6883,a)]. 6885 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(81(a,1),6821(a,1,1,1,2,1))]. 6886 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(4972(a,1),6823(a,1,1,1)),flip(a)]. 6887 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(141,a,6886,a(flip))]. 6888 R(x / (y * K(x,z)),y * K(x,z),K(z,x)) = (K(z,x) * x) / y. [para(6727(a,1),6757(a,1,2))]. 6889 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(6727(a,1),6756(a,2,2))]. 6890 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4372(a,1),6874(a,1,1,2))]. 6891 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5731(a,1),6885(a,1,1,1)),flip(a)]. 6892 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(141,a,6891,a(flip))]. 6893 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(5750(a,1),6891(a,2,1))]. 6894 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5761(a,1),6892(a,1,2,2))]. 6895 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6892(a,1),6732(a,1,1)),flip(a)]. 6897 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6723(a,1),6894(a,1,1,1))]. 6898 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6897(a,2),5724(a,1,1))]. 6900 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(65,a,6713,a(flip),b,6898,a)]. 6901 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(290,a,6716,a(flip),b,6900,a),flip(a)]. 6902 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3436(a,2),6901(a,2,2))]. 6903 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(141,a,6889,a)]. 6904 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(5755(a,2),6802(a,1,1,2))]. 6905 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6870(a,1),6802(a,1))]. 6906 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1341(a,1),6904(a,1,1,2))]. 6907 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(104(a,1),6873(a,1,1,2,2))]. 6908 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4336(a,2),6907(a,1,1))]. 6909 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4529(a,1),6879(a,1,1,2))]. 6910 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4507(a,1),6909(a,1,2,2))]. 6911 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6781(a,2),6784(a,2,2))]. 6912 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(6906,a,6890,a),flip(a)]. 6913 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(10(a,1),6912(a,2,2,1))]. 6914 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(78(a,1),6912(a,1,2,1,2)),flip(a)]. 6915 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(335(a,1),6914(a,1,2,1)),flip(a)]. 6916 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6767(a,1),6915(a,1,2,1))]. 6917 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4425(a,1),6916(a,1,2,1)),flip(a)]. 6918 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6734(a,1),6772(a,2,1))]. 6919 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(290,a,20,a,b,6918,a),flip(a)]. 6920 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(6918(a,2),509(a,1))]. 6922 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(213(a,1),6919(a,1,2))]. 6923 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(105(a,1),6920(a,1,1,3))]. 6924 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6133(a,1),6922(a,1,1))]. 6925 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(6923,a,4029,a),flip(a)]. 6926 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(4029(a,1),6923(a,1))]. 6928 R(x,y,1 / z) = R(x,y,z \ 1). [para(81(a,1),6925(a,1,3,1)),flip(a)]. 6930 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(65,a,5576,a,b,6928,a)]. 6931 R(x,y,z \ 1) != u | R(x,y,z) = u. [para(2035(a,1),6926(a,1))]. 6935 K(x,y) != z | R(K(x,y),y,u) = z. [para(6473(a,1),6926(a,1))]. 6936 (T(x,y) * y) * (y \ K(y,x)) != z | R(x,y * K(x,y),y * K(x,y)) = z. [para(6439(a,1),6931(a,1))]. 6937 R(x,y,z) != u | R(x,y,z \ 1) = u. [para(6925(a,1),6931(a,1))]. 6938 R(T(x,y),y,y) * K(y,x) != z | R(x,y * K(x,y),y * K(x,y)) = z. [para(6522(a,1),6936(a,1))]. 6939 K(x,L(y \ 1,z,u) \ (K(w,L(1 / y,z,u)) * v5)) = K(x,L(T(1 / y,w),z,u) \ v5). [para(25(a,2),5550(a,2,2,1))]. 6940 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5358,a,6478,a),flip(a)]. 6942 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(290,a,5195,a(flip),b,6940,a),flip(a)]. 6943 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5358,a,6942,a)]. 6945 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5387,a,6943,a)]. 6946 K(x,L(y \ 1,z,u) \ (K(w,L(y \ 1,z,u)) * v5)) = K(x,L(T(1 / y,w),z,u) \ v5). [para(4788(a,1),6939(a,1,2,2,1))]. 6947 K(x,L(T(1 / y,z),u,w) \ v5) = K(x,T(L(y \ 1,u,w),z) \ v5). [para(4746(a,1),6946(a,1,2)),flip(a)]. 6948 K(x,L(T(1 / y,z),u,w) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5). [para(25(a,2),6947(a,2,2,1))]. 6949 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4465(a,2),4642(a,1,2,1,2,2))]. 6950 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(65,a,2747,a(flip),b,6949,a)]. 6951 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(104(a,1),6950(a,1,1,2))]. 6952 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4184(a,1),6951(a,1,1))]. 6953 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(298,a,6952,a)]. 6955 x \ (y * K(z,x)) = (x \ y) * K(z,x). [hyper(37,a,6721,a,b,6953,a),flip(a)]. 6957 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(6953(a,1),6376(a,1,1))]. 6958 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(6800,a,6955,a)]. 6959 (x \ y) * K(y,x) = x \ T(y,x). [para(4471(a,2),6955(a,1,2)),flip(a)]. 6961 x \ T(x * y,x) = y * K(x * y,x). [para(9(a,1),6959(a,1,1)),flip(a)]. 6962 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(6959(a,1),6732(a,1,1)),flip(a)]. 6965 T((x * y) / T(x,z),x) = y * K(z,x). [para(9(a,1),6958(a,2,1))]. 6966 K((x \ 1) \ y,x) = K(x * y,x). [hyper(5990,a,6961,a)]. 6967 x * (y * K(x * y,x)) = T(x * y,x). [hyper(141,a,6961,a)]. 6968 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6961(a,2),4572(a,1,1))]. 6969 K((1 / x) \ y,x) = K(x * y,x). [hyper(6128,a,6966,a)]. 6970 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(6121,a,6966,a),flip(a)]. 6971 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6966(a,1),6107(a,1,1))]. 6973 x * (y * K(y * x,x)) = T(x * y,x). [para(5094(a,2),6967(a,1,2,2))]. 6974 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(5853(a,1),6973(a,1,2,2,1))]. 6975 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(5969,a,6970,a)]. 6976 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(65,a,5094,a,b,6970,a)]. 6977 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(6976(a,1),6930(a,1,1,1))]. 6979 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(290,a,5790,a(flip),b,6975,a),flip(a)]. 6980 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(298,a,6957,a),flip(a)]. 6981 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(5772,a,6980,a)]. 6982 (T(x,x \ 1) \ y) * T(x,x \ 1) = (x \ y) * x. [hyper(2646,a,6980,a)]. 6984 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(36,a,278,a,b,6981,a),flip(a)]. 6985 x / T(y,T(y,z) \ x) = y \ x. [hyper(37,a,6767,a,b,6981,a(flip))]. 6988 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(6984(a,1),4867(a,1,1,2))]. 6989 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(38,a,254,a,b,6985,a),flip(a)]. 6990 T(x,x \ (T(x,y) * z)) = T(x,z). [para(9(a,1),6989(a,1,2)),flip(a)]. 6991 T(x,K(x,y) * z) = T(x,z). [para(4724(a,1),6990(a,1,2))]. 6992 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(290,a,3535,a(flip),b,6991,a),flip(a)]. 6993 K(x,K(x,y) * z) = x \ T(x,z). [hyper(120,a,6991,a(flip),b,4471,a(flip)),flip(a)]. 6994 K(K(x,y) * z,x) = x / T(x,z). [para(6991(a,1),4408(a,2,2))]. 6995 T(x,T(x,y) * z) = T(x,x * z). [para(4492(a,1),6991(a,1,2))]. 6996 T(x,K(y,x) * z) = T(x,z). [para(4837(a,1),6991(a,1,2)),flip(a)]. 6997 T(x,T(y,x) \ z) = T(x,y \ z). [para(4889(a,1),6991(a,1,2))]. 6999 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6991(a,1),4866(a,1,1))]. 7000 T(x \ y,(y / x) \ z) = T(x \ y,(x \ y) \ z). [para(5052(a,1),6991(a,1,2))]. 7002 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6996(a,1),3985(a,1,3))]. 7003 K(x,K(x,y) * z) = K(x,z). [hyper(290,a,4412,a,b,6993,a),flip(a)]. 7004 K(x,K(x,y) * z) != u | K(x,z) = u. [para(6993(a,2),4544(a,1))]. 7005 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(7003(a,1),3428(a,1,2))]. 7006 K(x,T(x,y) * z) = K(x,x * z). [para(4492(a,1),7003(a,1,2))]. 7007 K(x,K(y,x) \ z) = K(x,z). [para(4811(a,2),7003(a,1,2))]. 7008 K(x,K(y,x) * z) = K(x,z). [para(4837(a,1),7003(a,1,2)),flip(a)]. 7010 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6447(a,1),7003(a,1,2,1))]. 7011 K(K(x,y) * z,x) = K(z,x). [hyper(290,a,4408,a,b,6994,a),flip(a)]. 7012 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6994(a,2),4510(a,1))]. 7013 K(K(x,y) \ z,x) = K(z,x). [para(10(a,1),7011(a,1,1)),flip(a)]. 7014 K(T(x,y) * z,y) = K(x * z,y). [para(4442(a,1),7011(a,1,1)),flip(a)]. 7015 K(T(x,y) * z,x) = K(x * z,x). [para(4492(a,1),7011(a,1,1))]. 7016 K(K(x,y) * z,y) = K(z,y). [para(4837(a,1),7011(a,1,1)),flip(a)]. 7018 K(x \ T(y,z),z) = K(x \ y,z). [para(5079(a,1),7011(a,1,1)),flip(a)]. 7019 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7011(a,1),5767(a,1,1))]. 7020 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6447(a,1),7011(a,1,1,1))]. 7021 K(x * T(y,z),z) = K(x * y,z). [para(5226(a,1),7016(a,1,1))]. 7022 T(x,y \ T(x,z)) = T(x,x * (1 / y)). [hyper(65,a,4070,a(flip),b,6995,a)]. 7023 T(x,T(y,x) \ z) = x * K(x,y \ z). [hyper(290,a,4471,a(flip),b,6997,a),flip(a)]. 7024 (x * (T(x,y) / y)) / x = T(x,y \ x) / T(y,x). [para(6997(a,1),3630(a,1,1)),flip(a)]. 7026 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(106(a,1),7018(a,1,1,2)),flip(a)]. 7028 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(5945(a,1),7021(a,1,1)),flip(a)]. 7029 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5275(a,1),7004(a,1,2))]. 7030 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6276(a,1),7010(a,1,2,1))]. 7031 K(x * y,x) != z | K(y * x,x) = z. [para(4401(a,1),7012(a,1,1))]. 7033 K((x / y) \ z,y \ x) != u | K((y \ x) \ z,y \ x) = u. [para(5052(a,1),7012(a,1,1))]. 7034 K((K(x,y) * z) * u,x) = K(z * u,x). [para(100(a,1),7020(a,1,1))]. 7035 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6276(a,1),7020(a,1,1,1))]. 7036 K(x,T(y,R(x,z,u))) = K(x,y). [para(4429(a,1),7030(a,1,2)),flip(a)]. 7037 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4401(a,1),7030(a,1,2))]. 7038 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(4509(a,1),7030(a,1,2))]. 7039 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4726(a,1),7030(a,1,2)),flip(a)]. 7040 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4800(a,1),7030(a,1,2))]. 7041 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4401(a,1),7035(a,1,1))]. 7042 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4442(a,1),7035(a,1,1)),flip(a)]. 7044 T(x,y \ T(x,z)) = T(x,y \ x). [hyper(290,a,3663,a(flip),b,7022,a),flip(a)]. 7046 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(7023(a,2),4475(a,1))]. 7047 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(7026(a,1),5184(a,1,1,1,2))]. 7048 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(106(a,1),7046(a,1,2,1))]. 7049 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3601(a,2),6988(a,2,2))]. 7050 x / (x / T(y,z)) = T(x / (x / y),z). [para(4384(a,2),6988(a,1,1)),flip(a)]. 7052 T(x / (x / y),z) \ x = x / T(y,z). [hyper(183,a,7050,a)]. 7055 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(7050(a,1),310(a,1,1))]. 7056 T(x / (x / y),x) = x / (T(x,y) / y). [para(3601(a,2),7050(a,1,2)),flip(a)]. 7057 x / T(y \ x,z) = T(x / y,z) \ x. [para(78(a,1),7052(a,1,1,1,2)),flip(a)]. 7058 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(184(a,1),7052(a,1,1,1)),flip(a)]. 7059 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5084(a,1),7052(a,1,1,1))]. 7060 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(65,a,3733,a(flip),b,7056,a)]. 7061 (x * y) / (T(x * y,x) / x) = T(x * K(y,x),x * y). [para(5928(a,1),7056(a,1,1)),flip(a)]. 7062 (x * y) / (T(x * y,x) / x) = L(x,y,x). [para(9(a,1),7060(a,1,2)),flip(a)]. 7063 T(x / y,z) \ x = y * K(z,y \ x). [hyper(6776,a,7057,a),flip(a)]. 7064 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(183,a,7057,a)]. 7065 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(7057(a,1),6290(a,1,2))]. 7066 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [hyper(183,a,7058,a),flip(a)]. 7068 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(105(a,2),7058(a,1,2,1))]. 7069 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(287(a,2),7058(a,1,2))]. 7070 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(190,a,7063,a)]. 7072 T(x \ y,z) != u \ y | T(y / x,z) \ y = u. [para(7064(a,1),50(a,1))]. 7073 T(T(x,x \ y),z) = (T(x,z) \ y) \ y. [hyper(825,a,7066,a)]. 7074 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(65,a,287,a,b,7066,a)]. 7075 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(106(a,1),7066(a,2,1,1))]. 7076 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7068(a,1),6593(a,1,2))]. 7079 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(22(a,2),7070(a,1,2,2,2))]. 7080 (T(x,y) \ (x * z)) \ (x * z) = T(T(x,z),y). [para(9(a,1),7073(a,1,1,2)),flip(a)]. 7081 T(T(x,y),x \ 1) \ 1 = 1 / T(x,y). [para(7074(a,2),2568(a,1,1))]. 7082 (x \ y) / (T(x \ y,x) / x) = (y / x) / ((x \ y) / x). [hyper(65,a,6624,a(flip),b,7049,a),flip(a)]. 7083 T(x * K(x \ (x \ y),x),x \ y) = (x \ y) / ((T(x,x \ y) \ y) / x). [para(3623(a,2),7049(a,2,2,1))]. 7086 T((R(x \ R(x,y,z),x,y * z) \ u) \ u,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ u) \ u. [para(1770(a,2),7075(a,1,1,1,1))]. 7088 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(65,a,6090,a(flip),b,7019,a)]. 7089 K(L(x,K(y,z),u),y) = K(x,y). [hyper(290,a,7011,a(flip),b,7088,a),flip(a)]. 7091 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(273(a,1),7089(a,1,1))]. 7092 (T(x,x \ 1) \ ((x \ 1) \ y)) * T(x,x \ 1) = ((1 / x) \ (x \ y)) * x. [para(807(a,2),6982(a,2,1))]. 7093 L(x \ y,x \ y,x \ y) = T(x \ y,(y / x) \ 1). [hyper(290,a,2666,a(flip),b,7000,a)]. 7094 T(x \ y,z / (y / x)) = T(x \ y,(x \ y) \ z). [hyper(65,a,3798,a,b,7000,a)]. 7095 T(x \ y,(y / x) \ 1) != z | T(x \ y,y \ x) = z. [para(7000(a,2),5937(a,1))]. 7096 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),7039(a,1,2,1))]. 7097 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7059(a,1),6393(a,1,3,2))]. 7098 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(290,a,6158,a,b,7065,a)]. 7099 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7065(a,2),6424(a,1,1))]. 7100 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(7076(a,1),751(a,1,2))]. 7101 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(11(a,1),7079(a,2,1))]. 7102 x * K(y,T(z,x)) = K(y,z) * x. [hyper(38,a,4896,a,b,7101,a),flip(a)]. 7103 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6835,a,7102,a)]. 7104 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6740,a,7102,a)]. 7105 K(x / y,T(z,x)) = K(y \ x,z). [hyper(5867,a,7102,a)]. 7106 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(5156,a,7102,a),flip(a)]. 7107 K(x,T(y,K(z,x))) = K(x,y). [hyper(4679,a,7102,a)]. 7108 K(x,T(y,T(x,z))) = K(x,y). [hyper(3276,a,7102,a),flip(a)]. 7109 K(x,T(y,z)) = T(K(x,y),z). [hyper(230,a,7102,a),flip(a)]. 7110 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(120,a,7102,a,b,4441,a)]. 7111 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(60,a,7102,a)]. 7112 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(36,a,5842,a,b,7102,a),flip(a)]. 7113 K(x,T(y,K(x,z))) = K(x,y). [hyper(36,a,5328,a,b,7102,a),flip(a)]. 7114 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(36,a,5167,a,b,7102,a),flip(a)]. 7115 K(x,T(y / z,y)) = K(x,z \ y). [hyper(36,a,5820,a(flip),b,7102,a),flip(a)]. 7116 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(36,a,5344,a(flip),b,7102,a),flip(a)]. 7117 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(4842,a,7102,a(flip))]. 7118 ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = R(x,y,K(z,T(u,y))). [para(7102(a,1),20(a,2,2)),flip(a)]. 7119 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(25(a,2),7102(a,1,2,2))]. 7120 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7102(a,1),45(a,1))]. 7122 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(7102(a,2),46(a,1))]. 7123 K(x,y / z) * z = z * K(x,z \ y). [para(106(a,1),7102(a,1,2,2)),flip(a)]. 7125 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7102(a,1),95(a,1,2,2)),flip(a)]. 7126 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7102(a,1),4492(a,1,2))]. 7127 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4877(a,1),7102(a,1,2,2))]. 7128 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(5319(a,1),7102(a,1,2,2)),flip(a)]. 7129 K(x,K(y,z / u)) * z = z * K(x,K(y,u \ z)). [para(5808(a,1),7102(a,1,2,2)),flip(a)]. 7130 T(x,T(y,T(x,z))) = x * K(x,y). [para(7108(a,1),4471(a,2,2))]. 7131 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(290,a,6832,a,b,7109,a)]. 7132 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(290,a,6500,a,b,7109,a)]. 7133 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(290,a,6487,a,b,7109,a)]. 7134 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(290,a,6072,a,b,7109,a)]. 7135 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(290,a,5858,a,b,7109,a)]. 7137 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(290,a,5825,a,b,7109,a)]. 7138 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(290,a,5314,a,b,7109,a)]. 7139 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(290,a,5310,a,b,7109,a)]. 7140 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(290,a,5839,a(flip),b,7109,a),flip(a)]. 7141 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(60,a,7109,a)]. 7142 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),7109(a,1,2))]. 7143 L(K(x,T(y,z)),u,w) = T(L(K(x,y),u,w),z). [para(7109(a,2),25(a,1,1))]. 7144 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(25(a,2),7109(a,1,2))]. 7145 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7109(a,2),268(a,1,2))]. 7146 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7109(a,2),226(a,1,2,1))]. 7148 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7109(a,2),624(a,1,2,2))]. 7149 x * T(K(x,y),z) = T(x,T(y,z)). [para(7109(a,1),4471(a,2,2)),flip(a)]. 7150 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7109(a,2),5308(a,1,2))]. 7151 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(7109(a,2),5136(a,1,2))]. 7152 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7109(a,2),5316(a,2,1))]. 7153 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7109(a,2),5477(a,2,2))]. 7155 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6074(a,1),7109(a,2,1))]. 7156 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7109(a,2),6581(a,1,1))]. 7157 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7109(a,2),6833(a,1,2))]. 7158 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7109(a,2),7102(a,1,2,2))]. 7159 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7109(a,2),7109(a,1,2))]. 7160 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(27(a,2),7113(a,1,2))]. 7161 K(T(x,y),z) = T(K(x,z),y). [hyper(36,a,6833,a,b,7104,a),flip(a)]. 7162 K(T(x,y),z) = K(x,T(z,y)). [hyper(290,a,7109,a,b,7161,a),flip(a)]. 7163 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(290,a,5858,a,b,7161,a)]. 7164 K(T(x,y),y / z) = K(x,z \ y). [hyper(290,a,5808,a(flip),b,7161,a),flip(a)]. 7165 K(T(x,K(y,z)),y) = K(x,y). [hyper(290,a,4485,a(flip),b,7161,a),flip(a)]. 7166 K(T(x,y \ 1),y) = K(x,y). [hyper(290,a,2723,a(flip),b,7161,a),flip(a)]. 7167 x * K(T(y,x),z) = K(y,z) * x. [para(7161(a,2),104(a,1,2))]. 7169 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7161(a,2),7113(a,1,2))]. 7170 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(4945,a,7162,a),flip(a)]. 7171 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(4856,a,7162,a)]. 7173 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(65,a,5361,a,b,7162,a)]. 7174 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(65,a,5883,a(flip),b,7162,a),flip(a)]. 7175 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(60,a,7162,a)]. 7176 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(120,a,7162,a(flip),b,4411,a(flip)),flip(a)]. 7177 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),7162(a,2,2))]. 7178 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),7162(a,1,1))]. 7179 K(x / y,T(z,y)) = K(y \ x,z). [para(106(a,1),7162(a,1,1)),flip(a)]. 7180 K(T(x,y),z / y) = K(x,y \ z). [para(106(a,1),7162(a,2,2))]. 7181 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(174(a,1),7162(a,1,1)),flip(a)]. 7182 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(288(a,1),7162(a,1,1))]. 7183 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(1062(a,1),7162(a,2,2))]. 7184 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7162(a,1),4419(a,2,2)),flip(a)]. 7185 T(x,T(y,z)) * K(y,T(x,z)) = x. [para(7162(a,1),4420(a,1,2))]. 7186 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7162(a,1),4429(a,1,1))]. 7187 T(x * K(y,T(x,z)),T(y,z)) = x. [para(7162(a,1),4435(a,1,1,2))]. 7188 x * K(T(x,y),z) = T(x,T(z,y)). [para(7162(a,2),4471(a,2,2)),flip(a)]. 7189 (T(x,y) * z) / T(x,y) = z * K(x,T(z,y)). [para(7162(a,1),4434(a,2,2))]. 7190 1 / (x \ K(y,T(x,z))) = T(x,T(y,z)). [para(7162(a,1),4594(a,2,2,2)),flip(a)]. 7191 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7162(a,1),4423(a,1,2))]. 7192 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7162(a,1),4811(a,1,1))]. 7193 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7162(a,1),4889(a,1,1))]. 7194 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(7162(a,1),4596(a,1,2,2))]. 7195 T(x * K(y,T(x,z)),T(y,z) * x) = L(x,T(y,z),x). [para(7162(a,1),4634(a,1,1,2))]. 7196 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7162(a,1),4855(a,1,1))]. 7197 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7162(a,1),4552(a,1,1))]. 7199 a(x,y,K(z,T(y,u))) = 1. [para(7162(a,1),5793(a,1,3))]. 7200 R(x,y \ 1,K(z,T(y,u))) = x. [para(7162(a,1),5905(a,1,3))]. 7201 x / (y * K(z,T(y,u))) = (x / y) * K(y,T(z,u)). [para(7162(a,1),5851(a,1,2,2))]. 7202 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7162(a,1),6788(a,1,1,2))]. 7203 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7162(a,1),6740(a,1,2))]. 7204 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7162(a,1),6741(a,1,2))]. 7205 T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). [para(7162(a,1),6781(a,2,2,2))]. 7207 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7162(a,1),6897(a,1,2)),flip(a)]. 7208 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(54,a,7199,a)]. 7209 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7165(a,1),4491(a,2,1)),flip(a)]. 7211 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7165(a,1),4946(a,1,2))]. 7212 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4435(a,1),7200(a,1,3,2))]. 7213 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7105(a,1),3387(a,1,3))]. 7215 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(4796(a,1),7105(a,1,2))]. 7217 T(x * (y / z),K(z \ y,z)) = (y / z) * T(x,z \ y). [para(7105(a,1),5981(a,1,2))]. 7218 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7105(a,1),6273(a,1,1)),flip(a)]. 7221 T(x,T(y,T(x,z))) = T(x,y). [hyper(290,a,4471,a,b,7130,a),flip(a)]. 7222 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7130(a,2),4475(a,1))]. 7223 T((x * y) / x,T(z,y)) = T((x * y) / x,z). [para(214(a,1),7221(a,1,2,2))]. 7224 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(3898(a,1),7137(a,1,2)),flip(a)]. 7225 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7137(a,1),6058(a,1,1)),flip(a)]. 7227 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7149(a,1),6201(a,1,2,2))]. 7228 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7157(a,1),307(a,1,2))]. 7229 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(775(a,1),7163(a,1,1,1)),flip(a)]. 7230 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7163(a,1),6107(a,1,1)),flip(a)]. 7231 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(203(a,1),7164(a,1,1))]. 7233 K(x / y,z) * y = y * K(y \ x,z). [para(106(a,1),7167(a,1,2,1)),flip(a)]. 7234 K((x * y) / x,z) * x = x * K(y,z). [para(214(a,1),7167(a,1,2,1)),flip(a)]. 7235 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7167(a,1),6872(a,1,1,2))]. 7236 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7171(a,1),4831(a,1))]. 7237 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(290,a,7109,a,b,7174,a),flip(a)]. 7238 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(5846,a,7179,a)]. 7239 K(x / y,y \ z) = K(y \ x,z / y). [para(106(a,1),7179(a,1,2))]. 7240 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(174(a,1),7179(a,1,2))]. 7241 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(7179(a,1),4471(a,2,2)),flip(a)]. 7244 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7179(a,2),6099(a,1))]. 7245 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(203(a,1),7180(a,1,1))]. 7246 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(7180(a,1),6735(a,1,2))]. 7247 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7180(a,1),6793(a,1,2))]. 7248 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(6336,a,7184,a)]. 7249 T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. [para(7185(a,1),45(a,1)),flip(a)]. 7251 K(x,T(y,x * z)) = K(x,T(y,z)). [para(9(a,1),7237(a,1,2,2)),flip(a)]. 7252 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(27(a,2),7237(a,1,2))]. 7253 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7237(a,1),4471(a,2,2))]. 7254 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7237(a,1),6276(a,1,1))]. 7256 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(65,a,6109,a(flip),b,7208,a),flip(a)]. 7257 R(x,y \ K(y,z),K(u,y)) = x. [para(4870(a,1),7212(a,1,2))]. 7258 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(65,a,6517,a(flip),b,7257,a)]. 7260 T((x * y) / x,T(z,y)) != u | T((x * y) / x,z) = u. [para(214(a,1),7222(a,1,2,2))]. 7261 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(239(a,1),7222(a,1,2))]. 7262 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(5973,a,7114,a(flip)),flip(a)]. 7266 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5351(a,1),7123(a,1,1)),flip(a)]. 7267 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7109(a,1),7142(a,2,1))]. 7268 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5845,a,7150,a)]. 7269 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(65,a,6051,a,b,7268,a)]. 7270 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(10(a,1),7268(a,1,1)),flip(a)]. 7271 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(7270(a,1),6099(a,1))]. 7272 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7176(a,1),2080(a,1,2))]. 7273 K(x,y) * T(x,T(z,y)) = T(T(x,z),y). [hyper(5061,a,7197,a)]. 7274 K(x,y) * T(T(y,z),x) = T(y,T(z,x)). [para(7197(a,1),5100(a,1,2))]. 7276 T(x,y * K(z,x)) = T(x,y). [para(7234(a,1),6996(a,1,2))]. 7277 K(x,y * K(z,x)) = K(x,y). [para(7234(a,1),7008(a,1,2))]. 7278 K(x * K(y,z),z) = K(x,z). [para(7234(a,1),7016(a,1,1))]. 7279 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(5932(a,1),7276(a,1,2))]. 7280 T(x,y * K(x,z)) = T(x,y). [para(6723(a,1),7276(a,1,2)),flip(a)]. 7282 K(x,y / K(z,x)) = K(x,y). [para(12(a,1),7277(a,1,2)),flip(a)]. 7283 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(331(a,1),7277(a,1,2))]. 7284 K(x * K(y,z),z) = 1 / K(z,x). [para(7277(a,1),4814(a,1,2)),flip(a)]. 7285 K(x,y * L(K(z,x),u,w)) = K(x,y). [para(5587(a,1),7277(a,1,2,2))]. 7286 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(5932(a,1),7277(a,1,2))]. 7287 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7277(a,1),6473(a,1,1))]. 7288 K(x,y * K(x,z)) = K(x,y). [para(6723(a,1),7277(a,1,2)),flip(a)]. 7289 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7278(a,1),3382(a,1,1))]. 7290 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5587(a,1),7278(a,1,1,2))]. 7291 K(x * K(y,z),y) = K(x,y). [para(6723(a,1),7278(a,1,1)),flip(a)]. 7292 K(x * T(y,z),y) = K(x * y,y). [para(6734(a,1),7278(a,1,1)),flip(a)]. 7293 K(x,y * K(x,z)) = x \ T(x,y). [hyper(120,a,7280,a(flip),b,4471,a(flip)),flip(a)]. 7294 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7280(a,1),226(a,1,2,1))]. 7295 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7280(a,1),3608(a,1,2,1))]. 7296 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5421(a,1),7280(a,1,2,2))]. 7298 T(x,y * (z * x)) = T(x,y * (x * z)). [para(6750(a,1),7280(a,1,2)),flip(a)]. 7299 T(x,(y * K(z,x)) * u) = T(x,y * u). [para(6892(a,1),7280(a,1,2)),flip(a)]. 7301 K(x,K(y,x * K(y,z))) = 1. [para(7288(a,2),3434(a,1,2))]. 7302 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7288(a,1),5742(a,1,1)),flip(a)]. 7304 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7291(a,1),5190(a,1,1,1,2)),flip(a)]. 7305 K(x * K(y,z),z) != u | K(x,z) = u. [para(7284(a,2),4818(a,1))]. 7306 K(x * T(y,z),y) = K(y * x,y). [hyper(290,a,5094,a(flip),b,7292,a),flip(a)]. 7307 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(7292(a,2),5414(a,1,1,1,2))]. 7308 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7293(a,2),4544(a,1))]. 7309 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(290,a,7015,a,b,7306,a)]. 7310 K(x * (y / T(x,z)),x) = K(y,x). [para(12(a,1),7306(a,1,1)),flip(a)]. 7311 K(x,y * (z * K(u,x))) = K(x,y * z). [para(94(a,1),7285(a,1,2))]. 7312 K(x,y * (z * K(x,u))) = K(x,y * z). [para(6867(a,1),7285(a,1,2)),flip(a)]. 7313 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6076(a,1),7290(a,1,1,2))]. 7314 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6867(a,1),7290(a,1,1)),flip(a)]. 7315 T(x,y * (z * K(x,u))) = T(x,y * z). [para(94(a,1),7296(a,1,2))]. 7316 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6090(a,1),7296(a,1,2,2))]. 7319 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(5218(a,1),7305(a,1,1))]. 7320 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6021(a,1),7308(a,1,2))]. 7322 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(278(a,1),7313(a,1,1))]. 7323 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7104(a,1),7313(a,1,1)),flip(a)]. 7324 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(462(a,1),7316(a,1,2))]. 7325 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(290,a,4471,a,b,7253,a),flip(a)]. 7326 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7253(a,2),4475(a,1))]. 7327 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7325(a,1),4472(a,1,2,1))]. 7328 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(120,a,23,a,b,7273,a)]. 7329 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(106(a,1),7274(a,1,2,1))]. 7330 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(279(a,1),7311(a,1,2,2))]. 7331 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5587(a,1),7311(a,1,2,2,2))]. 7332 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [para(7311(a,1),7109(a,2,1))]. 7333 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7104(a,1),7311(a,1,2,2)),flip(a)]. 7334 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5421(a,1),7312(a,1,2,2,2))]. 7335 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6735(a,1),7314(a,1,1,2))]. 7336 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6858(a,1),7314(a,1,1,2))]. 7337 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7102(a,1),7314(a,1,1,2))]. 7338 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7328(a,1),3837(a,1,1))]. 7339 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7337(a,1),5185(a,1,2,1,2)),flip(a)]. 7340 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7337(a,1),5188(a,1,2,1,2)),flip(a)]. 7343 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6832(a,1),7228(a,1))]. 7345 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5837(a,2),7343(a,1))]. 7346 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(5858(a,2),7343(a,1))]. 7347 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7161(a,2),7343(a,1))]. 7348 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7174(a,2),7343(a,1))]. 7349 K(x,T(T(y,z),u)) != w | K(x,T(T(y,u),z)) = w. [para(7142(a,2),7343(a,1))]. 7350 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6338(a,2),7347(a,1))]. 7351 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(10(a,1),7244(a,1,1,1))]. 7352 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(6051(a,2),7271(a,1))]. 7353 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),7319(a,1,1,2))]. 7354 T(x * y,T(z,y \ 1)) != u | T(x * y,T(z,x)) = u. [para(5939(a,1),7326(a,1,2))]. 7355 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1313(a,1),7345(a,1,2,2))]. 7356 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(174(a,1),7351(a,1,2))]. 7357 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4147(a,1),7351(a,1,1))]. 7358 T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). [para(7251(a,1),7143(a,1,1)),flip(a)]. 7359 K(x,K(y,z)) * u != u * w | K(x,K(y,T(z,u))) = w. [para(7158(a,1),45(a,1))]. 7360 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6731(a,1),7160(a,1,2,1))]. 7361 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(174(a,1),7178(a,2,2))]. 7362 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1669(a,1),7178(a,1,1)),flip(a)]. 7363 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3428(a,1),7178(a,2,2))]. 7364 T((x * y) / x,T(x \ 1,y)) = (x \ 1) \ ((x * y) / (x * x)). [hyper(290,a,795,a,b,7223,a),flip(a)]. 7365 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5979(a,2),7227(a,1,2))]. 7366 T(1 / x,T(y,x)) = T(1 / x,y). [hyper(4687,a,7241,a),flip(a)]. 7367 T(x / y,T(z,y)) != (x / y) * u | K(y \ x,z) = u. [para(7241(a,1),45(a,1))]. 7368 T(x,y) * T(1 / y,x) = ((y * y) \ x) * y. [para(7366(a,1),908(a,1,2))]. 7369 T(x,T(y \ x,z)) = T(x,T(y,z) \ x). [hyper(65,a,7044,a(flip),b,7248,a),flip(a)]. 7371 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(7369(a,2),5396(a,1,1))]. 7373 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4471(a,2),7258(a,1,1))]. 7374 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(183,a,7373,a(flip))]. 7375 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4587(a,1),7374(a,2,2))]. 7376 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(36,a,7102,a,b,7266,a)]. 7377 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(65,a,7262,a(flip),b,7376,a)]. 7378 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(81(a,1),7376(a,2,2,2))]. 7379 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7377(a,1),4471(a,2,2)),flip(a)]. 7380 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3573(a,1),7335(a,1,1,2)),flip(a)]. 7381 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6811(a,1),7363(a,1,1,1)),flip(a)]. 7382 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4544,a,7365,a)]. 7383 K(x,K(y,z)) = K(z,K(y,x)). [hyper(7352,a,7382,a)]. 7384 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7382(a,1),7352(a,1))]. 7385 K(K(x,y),z) = K(x,K(y,z)). [hyper(5318,a,7383,a)]. 7386 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(290,a,7382,a(flip),b,7383,a),flip(a)]. 7387 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7383(a,1),4430(a,2,1)),flip(a)]. 7388 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7383(a,1),4471(a,2,2)),flip(a)]. 7389 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7383(a,1),4491(a,2,1)),flip(a)]. 7390 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7383(a,1),4449(a,1,1))]. 7393 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7383(a,1),5310(a,1,2))]. 7394 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7383(a,1),5312(a,1,1))]. 7396 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7383(a,1),5314(a,1,1))]. 7397 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7383(a,1),5316(a,1,1))]. 7398 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7383(a,1),7139(a,1,2))]. 7399 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(290,a,5439,a(flip),b,7385,a),flip(a)]. 7400 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(7385(a,1),4420(a,1,2))]. 7401 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7385(a,1),4475(a,1,2))]. 7403 K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. [para(7385(a,1),4955(a,1,1))]. 7404 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7385(a,1),5588(a,2,1))]. 7405 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7385(a,1),5732(a,1,2))]. 7407 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7385(a,1),6196(a,1,2))]. 7408 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7011(a,1),7385(a,1,1)),flip(a)]. 7409 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5047(a,1),7386(a,1,2))]. 7410 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7268(a,1),7389(a,1,1)),flip(a)]. 7411 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5317,a,7394,a)]. 7412 K(K(x,y),z) = K(y,K(z,x)). [hyper(4831,a,7394,a)]. 7413 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7394(a,1),5317(a,1))]. 7414 K(K(x,y),z) = K(y,K(x,z)). [hyper(290,a,7385,a,b,7411,a)]. 7415 K(x,K(y,z)) = K(z,K(x,y)). [hyper(290,a,7383,a,b,7411,a),flip(a)]. 7416 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7411(a,1),4471(a,2,2)),flip(a)]. 7417 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7411(a,1),4491(a,2,1)),flip(a)]. 7418 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7411(a,1),4475(a,1,2))]. 7419 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7411(a,1),4531(a,1,1))]. 7420 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5047(a,2),7411(a,1,2))]. 7421 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7411(a,1),5310(a,1,2))]. 7422 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7003(a,1),7411(a,1,2)),flip(a)]. 7423 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7162(a,2),7411(a,1,2))]. 7424 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7411(a,1),7388(a,1,2))]. 7425 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7411(a,1),7389(a,1,1))]. 7426 K(K(x,y),z) = K(x,K(z,y)). [hyper(290,a,7383,a,b,7412,a),flip(a)]. 7428 K(K(x,y),z) = K(z,K(x,y)). [hyper(290,a,7383,a,b,7414,a),flip(a)]. 7429 K(x,K(y,z)) = K(x,K(z,y)). [hyper(65,a,7412,a(flip),b,7414,a)]. 7430 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7414(a,1),4401(a,1,1))]. 7431 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7414(a,1),5341(a,1))]. 7432 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5439(a,1),7414(a,1,1)),flip(a)]. 7433 x * K(K(y,z),x) = T(x,K(y,z)). [para(7414(a,2),7388(a,1,2))]. 7434 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(290,a,7150,a,b,7415,a)]. 7435 K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). [hyper(290,a,5852,a,b,7415,a)]. 7437 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7415(a,2),4492(a,1,1))]. 7438 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7415(a,2),4770(a,1,1))]. 7439 K(x,y) * K(x,K(z,y)) = T(K(x,y),z). [para(7415(a,1),5310(a,1,2))]. 7440 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7415(a,2),5471(a,1,1))]. 7441 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(7415(a,2),5732(a,1,2))]. 7442 (x * y) * K(z,K(u,y)) != w | x * T(y,K(z,u)) = w. [para(7415(a,2),5803(a,1,2))]. 7443 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7415(a,2),5855(a,2,2))]. 7444 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7415(a,2),5877(a,1,2,2))]. 7445 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7415(a,2),6739(a,1,1,2))]. 7446 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7162(a,1),7415(a,1,2))]. 7447 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7415(a,2),7138(a,1,1))]. 7449 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7415(a,1),7388(a,1,2))]. 7450 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7415(a,1),7389(a,1,1))]. 7451 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7426(a,1),5341(a,1))]. 7452 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7428(a,1),4441(a,2,1))]. 7453 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7428(a,1),4815(a,1,1))]. 7454 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7428(a,1),4811(a,1,1))]. 7455 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(7428(a,1),4837(a,1,1))]. 7456 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7428(a,1),4889(a,1,1))]. 7457 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7428(a,1),4842(a,1,1))]. 7458 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7428(a,1),4843(a,1,1))]. 7459 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7428(a,1),4951(a,1,1))]. 7460 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7428(a,1),4955(a,1,1))]. 7462 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7428(a,1),5341(a,1))]. 7463 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7428(a,1),6735(a,1,2))]. 7465 K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). [hyper(290,a,7150,a,b,7429,a)]. 7466 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5567(a,1),7429(a,1,2)),flip(a)]. 7467 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6080(a,2),7429(a,1,2))]. 7468 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7161(a,1),7429(a,1,2)),flip(a)]. 7469 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7429(a,1),7139(a,1,2))]. 7470 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7400(a,1),7315(a,1,2,2)),flip(a)]. 7471 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(290,a,7411,a,b,7409,a),flip(a)]. 7472 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(10(a,1),7409(a,1,2,2)),flip(a)]. 7473 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5011(a,1),7409(a,1,2)),flip(a)]. 7474 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7409(a,1),7138(a,1,1))]. 7475 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(7409(a,1),7139(a,1,2))]. 7476 T(x,K(y,z)) = T(x,K(z,y)). [hyper(65,a,7388,a(flip),b,7424,a)]. 7477 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,x / y)) / y. [hyper(65,a,4712,a(flip),b,7424,a),flip(a)]. 7478 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6843,a,7476,a),flip(a)]. 7479 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6829,a,7476,a),flip(a)]. 7480 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6814,a,7476,a),flip(a)]. 7481 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5326,a,7476,a)]. 7482 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(4957,a,7476,a)]. 7483 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(290,a,6736,a,b,7476,a)]. 7484 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(290,a,5979,a(flip),b,7476,a),flip(a)]. 7485 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7476(a,1),104(a,1,2))]. 7486 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7476(a,1),824(a,1,1))]. 7487 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7476(a,1),824(a,1))]. 7488 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7476(a,1),3700(a,1,2))]. 7489 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(7476(a,1),5326(a,1))]. 7490 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7476(a,1),5321(a,1,1))]. 7491 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(7476(a,1),6814(a,1))]. 7492 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(7476(a,1),6829(a,1))]. 7493 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(42,a,814,a(flip),b,7481,a)]. 7494 (T(x,K(y,z)) * K(y,z)) / x = K(y,z). [para(7481(a,1),182(a,1,2))]. 7496 T(K(x,y),z) * z = z * K(x,y). [para(7481(a,1),3955(a,1,2))]. 7498 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7481(a,1),5322(a,1,1)),flip(b)]. 7499 T(T(T(x,K(y,z)),u),K(y,z)) != w | T(x,u) = w. [para(7433(a,1),4620(a,1,1,1))]. 7500 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7433(a,1),6880(a,1,3)),flip(a)]. 7502 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(65,a,7411,a,b,7471,a)]. 7503 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(290,a,7415,a,b,7472,a),flip(a)]. 7504 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(7472(a,1),4471(a,2,2))]. 7505 T(T(K(x,y),z),z) = K(x,y). [hyper(229,a,7496,a,b,xx)]. 7506 T(K(x \ y,z),x) = K(y / x,z). [hyper(37,a,7233,a,b,7496,a),flip(a)]. 7507 T(K(x,y \ z),y) = K(x,z / y). [hyper(37,a,7123,a,b,7496,a),flip(a)]. 7508 T(K(x,y \ z),z) = K(x,z / y). [hyper(37,a,5820,a,b,7496,a),flip(a)]. 7509 T(K(x,T(y,z)),z) = K(x,y). [hyper(37,a,7102,a(flip),b,7496,a),flip(a)]. 7510 K(x \ y,z) * y = y * K(y / x,z). [para(5854(a,1),7496(a,1,1))]. 7511 K(x,T(y,z)) * z = z * K(x,y). [para(7109(a,2),7496(a,1,1))]. 7512 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(5175,a,7505,a),flip(a)]. 7513 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(5160,a,7505,a),flip(a)]. 7514 K(x,T(T(y,z),z)) = K(x,y). [hyper(65,a,7267,a,b,7505,a)]. 7515 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7505(a,1),226(a,1,2,1)),flip(a)]. 7516 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7505(a,1),262(a,1,2,2,1))]. 7517 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6033,a,7509,a)]. 7518 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(259,a,7509,a)]. 7519 K(T(x,y),T(z,y)) = K(x,z). [hyper(65,a,7161,a,b,7509,a)]. 7520 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(65,a,5153,a,b,7509,a)]. 7521 K(x,T(y \ z,z)) = K(x,z / y). [hyper(42,a,5808,a,b,7509,a),flip(a)]. 7522 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(42,a,5488,a,b,7509,a),flip(a)]. 7523 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [hyper(42,a,7144,a(flip),b,7509,a),flip(a)]. 7524 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7509(a,1),231(a,1,2))]. 7525 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7509(a,1),227(a,1,2,1)),flip(a)]. 7526 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(7509(a,1),632(a,1,2,1)),flip(a)]. 7527 K(x \ y,T(z,x)) = K(y / x,z). [hyper(7351,a,7514,a)]. 7528 K((x * y) / x,z) = K(y,T(z,x)). [hyper(7244,a,7514,a),flip(a)]. 7529 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(65,a,7178,a,b,7514,a)]. 7530 K(x,T(y \ z,y)) = K(x,z / y). [para(106(a,1),7514(a,1,2,1))]. 7531 K(x,(y * z) / y) = K(x,T(z,y)). [para(214(a,1),7514(a,1,2,1)),flip(a)]. 7532 a(x,T(y,z),K(u,y)) = 1. [para(7514(a,1),7199(a,1,3))]. 7533 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7514(a,1),7244(a,1))]. 7534 L(K(x,y),T(y,z),u) = K(x,y). [hyper(54,a,7532,a)]. 7535 K(T(T(x,y),y),z) = K(x,z). [hyper(7236,a,7519,a)]. 7537 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(23(a,1),7519(a,1,2))]. 7538 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(25(a,2),7519(a,1,1))]. 7539 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),7519(a,1,2))]. 7540 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(27(a,2),7519(a,1,2))]. 7541 K(T(x,y),y \ z) = K(x,z / y). [para(106(a,1),7519(a,1,2))]. 7542 K(x,(y * z) / y) = K(T(x,y),z). [para(214(a,1),7519(a,1,2)),flip(a)]. 7543 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1289(a,1),7519(a,1,2))]. 7544 K(x * K(y,x),z) = K(x,T(z,y)). [para(4435(a,1),7519(a,1,1)),flip(a)]. 7545 x * K(T(x,y),T(z,y)) = T(x,z). [para(7519(a,2),4471(a,2,2)),flip(a)]. 7546 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7519(a,1),4491(a,2,1))]. 7548 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7519(a,1),4903(a,1,1)),flip(a)]. 7549 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7519(a,1),6076(a,1,1))]. 7550 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7519(a,1),6090(a,1,1))]. 7551 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7519(a,1),6479(a,1,1))]. 7552 L(x,T(T(y,z),u),K(w,y)) = x. [para(7519(a,1),6496(a,1,3))]. 7553 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7519(a,1),6864(a,1,2))]. 7554 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7519(a,1),7016(a,1,1,1))]. 7555 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7519(a,1),7117(a,1,2,2))]. 7556 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7519(a,1),7278(a,1,1,2))]. 7557 T(T(x,y),z) * T(y,x) = (x * y) * K(x,z). [para(7535(a,1),6392(a,1,2)),flip(a)]. 7558 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(65,a,4965,a,b,7534,a)]. 7559 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(120,a,7534,a(flip),b,1848,a)]. 7560 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [hyper(1274,a,7552,a),flip(a)]. 7561 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(290,a,7429,a,b,7502,a),flip(a)]. 7562 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(65,a,7415,a,b,7503,a)]. 7563 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(65,a,7411,a,b,7503,a)]. 7565 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(290,a,5195,a,b,7506,a),flip(a)]. 7566 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(65,a,7142,a,b,7506,a)]. 7568 K(x,y \ z) * y = y * K(x,z / y). [para(7507(a,1),104(a,1,2)),flip(a)]. 7570 T(x,K(y,z / x)) != u | T(x,K(y,x \ z)) = u. [para(7507(a,1),3692(a,1,2))]. 7571 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6033,a,7508,a),flip(a)]. 7572 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(37,a,5344,a,b,7511,a),flip(a)]. 7573 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(121,a,7511,a(flip),b,4438,a)]. 7574 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7511(a,1),633(a,1,2,1)),flip(a)]. 7575 (K(x,T(y,z \ 1)) * z) * (1 / z) = ((z \ 1) * K(x,y)) * z. [para(7511(a,1),1010(a,1,1)),flip(a)]. 7576 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7511(a,1),4437(a,1,2)),flip(a)]. 7577 (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(7511(a,1),4858(a,1,1,3)),flip(a)]. 7578 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(5838(a,1),7511(a,1,1))]. 7579 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7345,a,7517,a)]. 7581 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(65,a,7112,a(flip),b,7517,a)]. 7582 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7518(a,1),314(a,1,1)),flip(b)]. 7584 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(7518(a,1),874(a,1,1)),flip(a)]. 7585 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(7518(a,1),880(a,1,1,1))]. 7586 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7518(a,1),876(a,1,1)),flip(a)]. 7587 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(65,a,7251,a(flip),b,7521,a)]. 7588 K(x,y / (y / z)) = K(x,T(z,y)). [para(81(a,1),7521(a,1,2,1)),flip(a)]. 7589 K(x,T(((y \ 1) * z) \ u,y * ((y \ 1) \ u))) = K(x,(y * ((y \ 1) \ u)) / (y * z)). [para(1887(a,1),7521(a,1,2,1))]. 7590 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(5967,a,7527,a)]. 7591 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),7527(a,1,1)),flip(a)]. 7592 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7527(a,1),5339(a,1,2)),flip(a)]. 7593 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7280(a,1),7527(a,1,2))]. 7594 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(888(a,2),7528(a,1,1))]. 7595 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7528(a,1),7244(a,1))]. 7596 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(14(a,2),7530(a,1,2,1)),flip(a)]. 7597 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),7530(a,1,2,1)),flip(a)]. 7598 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(887(a,1),7531(a,1,2)),flip(a)]. 7599 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(65,a,4638,a,b,7542,a)]. 7600 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(879(a,2),7542(a,1,2))]. 7601 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(7542(a,2),7347(a,1))]. 7602 (x * K(y,x)) * K(x,T(z,y)) != u | T(x * K(y,x),z) = u. [para(7544(a,1),4475(a,1,2))]. 7603 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7323(a,1),7544(a,1,1,2)),flip(a)]. 7604 T(x,T(T(y,z),z)) = T(x,y). [hyper(65,a,7188,a(flip),b,7545,a)]. 7605 T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). [para(7604(a,1),104(a,1,2))]. 7606 T(x,T(y \ z,y)) = T(x,z / y). [para(106(a,1),7604(a,1,2,1))]. 7607 T(x,(y * z) / y) = T(x,T(z,y)). [para(214(a,1),7604(a,1,2,1)),flip(a)]. 7608 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4435(a,1),7604(a,1,2,1)),flip(a)]. 7609 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7553(a,1),542(a,1,1))]. 7610 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7555(a,1),7030(a,1,2)),flip(a)]. 7613 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7588(a,1),6389(a,1,2))]. 7614 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7588(a,1),6787(a,1,1,2))]. 7615 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(879(a,2),7607(a,1,2))]. 7616 T(x,T(y * z,y * y) / (1 / y)) = T(x,T(z * (y * y),1 / y)). [para(994(a,1),7607(a,1,2,1))]. 7617 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(4772(a,2),7607(a,1,2))]. 7618 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(65,a,4072,a,b,7608,a)]. 7619 T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). [para(23(a,1),7608(a,2,2))]. 7621 a(T(x,T(y,z)),T(y * K(z,y),x),u) != w | a(x,y * K(z,y),u) = w. [para(7608(a,1),3988(a,1,1))]. 7622 ((x * y) / x) \ (z * (y * K(x,y))) = R(T(z,T(y,x)),y,K(x,y)). [para(7608(a,1),6324(a,1,1)),flip(a)]. 7624 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(7269(a,2),7384(a,1))]. 7625 K(K(x,y),z) != u | K(x,K(z,y)) = u. [para(7412(a,2),7384(a,1))]. 7626 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7414(a,2),7384(a,1))]. 7629 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(7503(a,2),7431(a,1))]. 7630 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(7150(a,2),7451(a,1))]. 7633 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7162(a,1),7462(a,1,2))]. 7634 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7179(a,2),7462(a,1,2))]. 7635 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7386(a,2),7462(a,1))]. 7638 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5854(a,1),7582(a,1))]. 7639 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7161(a,2),7582(a,1))]. 7640 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(106(a,1),7595(a,1,2,1))]. 7641 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7179(a,1),7595(a,1))]. 7642 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(7178(a,2),7595(a,1))]. 7643 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5932(a,1),7610(a,1,2))]. 7644 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(25(a,2),7639(a,1,1))]. 7645 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(25(a,2),7639(a,1,2))]. 7646 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),7639(a,1,2))]. 7647 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(106(a,1),7639(a,1,2))]. 7648 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(203(a,1),7639(a,1,1))]. 7649 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7115(a,1),7639(a,1))]. 7650 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7237(a,1),7387(a,1,1,2))]. 7651 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7007(a,1),7393(a,1,2,2)),flip(a)]. 7652 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7393(a,2),7343(a,1))]. 7653 T(K(x,y),z) != u | K(x,y) * K(x,K(y,z)) = u. [para(7396(a,1),5329(a,1))]. 7654 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7113(a,1),7396(a,1,1,2)),flip(a)]. 7655 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7398(a,1),45(a,1))]. 7656 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(290,a,7412,a(flip),b,7408,a),flip(a)]. 7657 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(290,a,7385,a(flip),b,7408,a),flip(a)]. 7658 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(290,a,7425,a(flip),b,7410,a),flip(a)]. 7659 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(290,a,7389,a(flip),b,7410,a),flip(a)]. 7660 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5047(a,2),7658(a,1,2))]. 7661 T(x,K(y,y * T(x,z))) = x. [hyper(290,a,3433,a(flip),b,7659,a),flip(a)]. 7662 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(10(a,1),7659(a,1,2,2)),flip(a)]. 7664 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(56,a,7661,a)]. 7665 T(x,K(y,x * y)) = x. [para(104(a,1),7661(a,1,2,2))]. 7666 T(x / y,K(y,x)) = x / y. [para(212(a,1),7661(a,1,2,2))]. 7667 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7162(a,1),7421(a,1,2,2))]. 7668 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(290,a,7411,a,b,7422,a),flip(a)]. 7669 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(7384,a,7423,a)]. 7670 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(4680,a,7434,a)]. 7671 K(x,y / z) * K(x,K(y,y / z)) = K(x,z \ y). [hyper(290,a,5808,a(flip),b,7439,a),flip(a)]. 7673 K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). [para(7530(a,1),7465(a,1,2))]. 7674 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(5596(a,1),7468(a,2,2,1))]. 7675 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(12(a,1),7479(a,1,1)),flip(a)]. 7676 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(7479(a,1),5323(a,1,1))]. 7677 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6735(a,1),7479(a,1,1))]. 7678 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(65,a,7659,a(flip),b,7480,a)]. 7679 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7480(a,1),225(a,1,2,1)),flip(a)]. 7680 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [para(4811(a,2),7480(a,1,1))]. 7681 T(T(x,y) \ z,K(x,y)) = (x \ z) * K(y,x). [para(4889(a,1),7480(a,1,1))]. 7682 (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). [hyper(120,a,7660,a(flip),b,7484,a(flip))]. 7684 ((x * y) / x) * T(z,K(y,x)) = y * (z * K(x,y)). [para(7485(a,1),5064(a,2,2))]. 7686 (x * K(y,z)) * T(x,K(y,z)) = (K(y,z) * x) * x. [para(7490(a,1),3966(a,1,1)),flip(a)]. 7687 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7490(a,1),4153(a,1,2,1)),flip(a)]. 7688 x * ((T(y,K(z,u)) * K(z,u)) / y) = T(K(z,u) * x,K(z,u)). [para(7494(a,2),6811(a,2,2)),flip(a)]. 7689 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7504(a,2),4475(a,1))]. 7690 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7510(a,1),309(a,1,2))]. 7691 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7510(a,2),6961(a,2,2,1)),flip(a)]. 7692 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(5403,a,7512,a)]. 7693 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(5160,a,7513,a),flip(a)]. 7694 K(x \ K(y,x),T(z,y)) = K(x \ 1,z). [para(4417(a,1),7520(a,1,1))]. 7695 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(290,a,5059,a,b,7546,a),flip(a)]. 7696 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [hyper(120,a,7546,a,b,4751,a(flip))]. 7697 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4442(a,1),7554(a,1,1)),flip(a)]. 7698 K(x * K(y,z),T(T(z,u),w)) = K(x,T(T(z,u),w)). [para(7519(a,1),7556(a,1,1,2))]. 7700 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(22(a,2),7565(a,1,1,1)),flip(a)]. 7701 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6538,a,7571,a)]. 7702 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7377(a,1),7573(a,1,1,2))]. 7703 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6740,a,7576,a)]. 7704 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7576(a,2),6479(a,1,2))]. 7705 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7576(a,1),6752(a,1,1))]. 7706 R(x,y \ z,K(y / z,u)) = x. [para(7590(a,1),5778(a,1,3))]. 7707 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(7706(a,1),490(a,1,1))]. 7708 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(4837(a,1),7657(a,1,1)),flip(a)]. 7709 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7657(a,1),5766(a,1,3))]. 7710 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7511(a,1),7657(a,1,1))]. 7711 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6407,a,7709,a)]. 7712 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(7709(a,1),508(a,1,1)),flip(a)]. 7713 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5275(a,1),7668(a,1,2,2)),flip(a)]. 7714 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(7555(a,1),7668(a,1,2,2)),flip(a)]. 7715 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(65,a,7563,a(flip),b,7669,a),flip(a)]. 7716 K(x,T(y,z)) \ K(x,y) = K(x,K(y,z)). [hyper(65,a,7192,a,b,7670,a)]. 7718 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7670(a,1),6752(a,1,1))]. 7719 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(7675(a,1),96(a,2,2))]. 7720 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(214(a,1),7692(a,1,2,2,1)),flip(a)]. 7721 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(236(a,1),7692(a,1,2,2,1))]. 7722 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(7693(a,1),4419(a,2,2))]. 7723 (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(7695(a,2),222(a,1,1,1))]. 7724 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(7714(a,1),7425(a,1,1))]. 7725 K(x,T(y,z)) * K(x,K(y,z)) = K(x,y). [hyper(141,a,7716,a)]. 7726 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(888(a,2),7533(a,1,1))]. 7728 K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. [para(4587(a,2),7629(a,1,2))]. 7730 K(x,K(y,z * x)) = K(y,K(z,x)). [hyper(7635,a,7411,a),flip(a)]. 7731 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(290,a,7415,a(flip),b,7730,a),flip(a)]. 7733 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6991(a,1),7638(a,1,2))]. 7734 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7135(a,2),7638(a,1))]. 7736 K(x,T(y * z,1 / y)) != u | K(x,L(z,y,1 / y) / (1 / y)) = u. [para(397(a,1),7640(a,1,2,1))]. 7737 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4166(a,1),7640(a,1,2))]. 7738 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(171(a,1),7641(a,1,2))]. 7739 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7162(a,2),7641(a,1))]. 7741 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(7276(a,1),7647(a,1,1))]. 7742 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(203(a,1),7649(a,1,1))]. 7743 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7162(a,1),7649(a,1))]. 7744 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4587(a,2),7689(a,1,2))]. 7745 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(180(a,1),7728(a,1,2,2))]. 7746 K(x,y) * ((1 / y) * x) = ((y * y) \ x) * y. [hyper(5136,a,7368,a)]. 7747 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4475,a,7379,a),flip(a)]. 7748 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(65,a,5941,a,b,7747,a)]. 7749 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6727(a,2),7430(a,1,2))]. 7750 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7435(a,1),5220(a,1,1,2))]. 7752 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4577(a,1),7437(a,1,1,2))]. 7753 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(5406,a,7463,a)]. 7754 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(290,a,4728,a(flip),b,7478,a),flip(a)]. 7755 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7478(a,1),7347(a,1,1))]. 7756 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [para(25(a,2),7523(a,1,2))]. 7757 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(236(a,1),7523(a,1,2,1,1))]. 7758 T(K(x,L(y,z,u)),w) != v5 | K(x,L(T(y,w),z,u)) = v5. [para(7523(a,1),7582(a,1,1))]. 7759 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3681(a,1),7529(a,1,1,1)),flip(a)]. 7760 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7529(a,1),7035(a,1,1,1))]. 7761 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1551(a,1),7538(a,1,1))]. 7763 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1551(a,1),7539(a,1,2))]. 7764 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7695(a,1),7548(a,1,1))]. 7766 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7559(a,1),2432(a,2,2))]. 7767 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(65,a,7170,a(flip),b,7566,a),flip(a)]. 7768 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7572(a,1),4471(a,2,2))]. 7769 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7572(a,2),5397(a,1))]. 7770 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(290,a,6735,a(flip),b,7578,a),flip(a)]. 7771 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5325(a,1),7770(a,1,1))]. 7772 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7109(a,2),7770(a,1,1))]. 7773 K(x,T(y,R(T(y,x),z,z))) * (R(T(y,x),z,z) / y) = a(T(y,x),z,z). [hyper(290,a,2199,a(flip),b,7772,a),flip(a)]. 7774 (x / T(y,z)) / (x / y) = K(z,T(y,x)). [hyper(136,a,7772,a)]. 7775 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(7579(a,1),7102(a,1,2)),flip(a)]. 7776 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(290,a,6483,a(flip),b,7581,a),flip(a)]. 7777 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(290,a,6491,a(flip),b,7587,a),flip(a)]. 7778 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(4915(a,1),7617(a,1,2,1))]. 7780 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7664(a,1),7267(a,2,1))]. 7781 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7697(a,1),5178(a,1,2,1,2)),flip(a)]. 7782 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7711(a,2),4850(a,1,1))]. 7783 K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). [hyper(65,a,5954,a(flip),b,7720,a),flip(a)]. 7784 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(290,a,4419,a,b,7722,a),flip(a)]. 7785 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(106(a,1),7784(a,1,2,2,1))]. 7786 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(5560(a,1),7749(a,1,1,2))]. 7787 T(x,y) * T(z / T(x,y),x) = T(z,K(x,y)). [para(12(a,1),7754(a,1,1)),flip(a)]. 7788 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(106(a,1),7756(a,1,2,1,1))]. 7789 K(x,L((y * z) / y,u,w)) = K(x,L(T(z,y),u,w)). [para(214(a,1),7756(a,1,2,1,1)),flip(a)]. 7790 K(x,L(y * K(z,y),u,w)) = K(x,L(T(y,z),u,w)). [para(4435(a,1),7756(a,1,2,1,1)),flip(a)]. 7791 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7385(a,1),7764(a,2,1))]. 7792 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(290,a,7527,a(flip),b,7767,a),flip(a)]. 7793 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4902,a,7771,a)]. 7794 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(7777(a,2),7102(a,2,1)),flip(a)]. 7795 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3594(a,1),7785(a,1,2,2))]. 7796 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [para(6965(a,1),7787(a,1,2))]. 7797 T(x * (y * K(x,z)),K(x,z)) = T(x,z) * y. [para(6723(a,1),7796(a,1,2)),flip(a)]. 7798 T(T(x,y),z) != u | K(x,T(z,y)) * T(x,y) = u. [para(4430(a,2),7196(a,1))]. 7799 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(4811(a,1),7196(a,1))]. 7800 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6727(a,1),7204(a,1))]. 7801 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(65,a,6479,a(flip),b,7287,a)]. 7802 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7287(a,1),516(a,1)),flip(b)]. 7803 K(x,y * x) != z | K(x,x * y) = z. [para(89(a,1),7802(a,1,2))]. 7804 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(5218(a,1),7802(a,1,2))]. 7806 K(x,K(y,x) * z) != u | K(x,z) = u. [para(7167(a,1),7802(a,1,2))]. 7807 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6093(a,2),7803(a,1))]. 7808 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(290,a,7277,a(flip),b,7801,a),flip(a)]. 7810 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),7808(a,1,2))]. 7811 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(65,a,6276,a(flip),b,7289,a)]. 7812 K(R(x,K(y,z),u),z) = K(x,z). [hyper(290,a,7278,a(flip),b,7811,a),flip(a)]. 7814 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(31(a,1),7812(a,1,1))]. 7815 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(94(a,1),7331(a,1,2,2))]. 7817 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7398(a,1),7401(a,1))]. 7818 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7446(a,2),7401(a,1,2))]. 7822 T(T(x,y) \ z,K(x,y)) != u | (x \ z) * K(y,x) = u. [para(4889(a,1),7491(a,1,1))]. 7824 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7715(a,2),7633(a,1))]. 7825 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7269(a,1),7652(a,1,2))]. 7826 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7109(a,2),7653(a,1))]. 7828 K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. [para(9(a,1),7769(a,1,2,1,1))]. 7829 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7262(a,1),7769(a,1))]. 7830 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7161(a,1),7799(a,1,1))]. 7831 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7161(a,1),7800(a,1,2))]. 7832 K(x,y / (y * z)) = K(x,(z * y) \ y). [hyper(7828,a,7262,a)]. 7833 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(4785(a,2),7828(a,1))]. 7834 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5316(a,2),7830(a,1))]. 7835 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(290,a,7013,a(flip),b,7091,a),flip(a)]. 7837 K((x * y) \ z,y) = K((y * x) \ z,y). [para(89(a,1),7835(a,1,1,1)),flip(a)]. 7838 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(6723(a,1),7835(a,1,1,1)),flip(a)]. 7839 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6750(a,1),7835(a,1,1,1)),flip(a)]. 7840 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(7102(a,1),7835(a,1,1,1))]. 7841 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7519(a,1),7835(a,1,1,1,2))]. 7842 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(7837(a,1),4814(a,1,2))]. 7843 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(7838(a,1),6732(a,1,1,2)),flip(a)]. 7844 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4818,a,7842,a),flip(a)]. 7845 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(1850(a,1),7119(a,1,2,2))]. 7846 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(65,a,6789,a,b,7127,a)]. 7847 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3444(a,1),7128(a,1,1,2)),flip(a)]. 7848 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(27(a,2),7133(a,2,2))]. 7849 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7383(a,1),7152(a,1,1))]. 7850 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(290,a,7110,a(flip),b,7205,a),flip(a)]. 7851 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7604(a,1),7850(a,1,1,2))]. 7852 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(290,a,6979,a,b,7238,a)]. 7853 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(27(a,2),7252(a,2,2))]. 7854 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(290,a,7109,a,b,7332,a),flip(a)]. 7855 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [hyper(5963,a,7358,a),flip(a)]. 7856 K(x,K(y,z)) * (x \ R(x,y,x)) = T(K(x,y),z) * K(x * y,x). [para(4964(a,1),7397(a,1,2))]. 7857 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7397(a,2),7830(a,1))]. 7858 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5599(a,1),7404(a,1,1)),flip(a)]. 7859 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6723(a,1),7405(a,1,1)),flip(a)]. 7860 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7446(a,2),7474(a,1,1))]. 7861 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7415(a,2),7475(a,1,2))]. 7862 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(290,a,7711,a(flip),b,7500,a),flip(a)]. 7864 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(1850(a,1),7515(a,1,1))]. 7865 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4000,a,7516,a)]. 7866 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(4620,a,7865,a),flip(a)]. 7867 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(689,a,7865,a)]. 7868 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7280(a,1),7525(a,1,1,1,2))]. 7869 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7600(a,1),4471(a,2,2))]. 7871 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(27(a,2),7615(a,2,2))]. 7872 T(x,T((y * z) / y,u)) = T(x,T(T(z,y),u)). [para(4513(a,2),7619(a,1,2))]. 7873 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(290,a,7393,a(flip),b,7651,a),flip(a)]. 7875 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(290,a,7396,a(flip),b,7654,a),flip(a)]. 7876 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5320(a,1),7875(a,1,2))]. 7877 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(3657(a,1),7667(a,1,2,2,2))]. 7879 K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). [hyper(290,a,7411,a,b,7673,a),flip(a)]. 7880 (K(x,y) * (z * z)) * a(K(x,y),z,z) = (z * K(x,y)) * T(z,K(x,y)). [hyper(290,a,86,a,b,7686,a)]. 7881 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(65,a,1540,a(flip),b,7707,a),flip(a)]. 7882 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(65,a,5172,a(flip),b,7721,a)]. 7883 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [para(4471(a,2),7750(a,1,1))]. 7884 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(290,a,4471,a,b,7768,a),flip(a)]. 7885 K(x,y * K(1 / y,z)) = T(K(x,y),z). [hyper(65,a,5172,a(flip),b,7783,a),flip(a)]. 7886 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(6228(a,1),7885(a,1,2,2))]. 7887 K(x,L(T(((y / z) \ 1) \ u,z / y),w,v5)) = K(x,L(u / ((y / z) \ 1),w,v5)). [para(3723(a,1),7788(a,1,2,1))]. 7888 K(x,(y * (z * u)) / (y * z)) = K(x,L(T(u,y * z),z,y)). [para(876(a,1),7789(a,1,2))]. 7889 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(7793(a,1),6310(a,1,2)),flip(a)]. 7890 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(7167(a,1),7815(a,1,2,2,2))]. 7891 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(290,a,5459,a(flip),b,7839,a),flip(a)]. 7892 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(290,a,6732,a(flip),b,7843,a),flip(a)]. 7893 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(5733(a,1),7892(a,1,2,1)),flip(a)]. 7894 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(6723(a,1),7892(a,1,2,1)),flip(a)]. 7895 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7104(a,1),7892(a,1,2,1)),flip(a)]. 7896 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7167(a,1),7892(a,1,2,1))]. 7897 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7519(a,1),7892(a,1,2,1,2))]. 7898 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(7894(a,1),4471(a,2,2))]. 7899 K(x,(y * L(K(x,z),u,w)) \ v5) = K(x,y \ v5). [para(5421(a,1),7894(a,1,2,1,2))]. 7900 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),7895(a,1,2)),flip(a)]. 7901 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(290,a,4471,a,b,7898,a),flip(a)]. 7902 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6750(a,1),7901(a,1,2,1)),flip(a)]. 7903 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7102(a,1),7901(a,1,2,1))]. 7904 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7157(a,1),7901(a,1,2,1)),flip(a)]. 7905 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(65,a,5939,a(flip),b,7903,a),flip(a)]. 7906 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7905(a,1),5295(a,1,2,1))]. 7907 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(6867(a,1),7899(a,1,2,1)),flip(a)]. 7908 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7109(a,2),7848(a,1,1))]. 7909 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(36,a,5059,a,b,7849,a),flip(a)]. 7910 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7562(a,1),7849(a,1,1))]. 7911 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5061,a,7909,a)]. 7912 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(65,a,7209,a(flip),b,7909,a)]. 7913 T(x,T(y,z)) != K(x,y) * u | T(x,K(y,z)) = u. [para(7909(a,1),45(a,1))]. 7914 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7486,a,7912,a)]. 7915 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(824,a,7912,a)]. 7916 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(692,a,7912,a),flip(a)]. 7917 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7912(a,1),104(a,1,2)),flip(a)]. 7918 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2722(a,1),7912(a,1,1)),flip(a)]. 7919 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5325(a,1),7912(a,1,1)),flip(a)]. 7920 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [para(6811(a,1),7912(a,1,1)),flip(a)]. 7921 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7476(a,1),7912(a,1,1))]. 7922 T(T(x,y),K(z,y)) = x * T(K(x,y),z). [hyper(290,a,7149,a,b,7914,a),flip(a)]. 7923 x * T(y,T(x,z)) != u | T(y,K(z,x)) * x = u. [para(7914(a,1),378(a,1,2))]. 7924 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7914(a,1),5321(a,1,1))]. 7925 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7914(a,1),7113(a,1,2))]. 7926 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(290,a,7149,a,b,7915,a),flip(a)]. 7927 T(x \ 1,y / x) = T(x \ 1,x \ y). [hyper(65,a,7606,a(flip),b,7918,a)]. 7929 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7658(a,1),7921(a,1,1))]. 7930 T(x,T(x * y,y)) = T(x,x * y). [para(7665(a,1),7921(a,1,1)),flip(a)]. 7931 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(106(a,1),7925(a,1,2,2)),flip(a)]. 7932 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7383(a,1),7911(a,1,1))]. 7933 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(7916(a,1),692(a,1,1))]. 7934 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7916(a,1),5980(a,1,2)),flip(a)]. 7935 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(290,a,5979,a,b,7917,a)]. 7936 T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). [para(5349(a,1),7922(a,1,2))]. 7937 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5171(a,2),7926(a,2,2))]. 7938 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(290,a,7237,a(flip),b,7931,a),flip(a)]. 7939 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(290,a,7174,a(flip),b,7931,a),flip(a)]. 7940 K(x,T(y,z * x)) = K(x,T(y,z)). [para(11(a,1),7938(a,1,2,2)),flip(a)]. 7941 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(180(a,1),7938(a,1,2,2)),flip(a)]. 7942 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3721(a,1),7938(a,1,2))]. 7943 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7938(a,1),7446(a,2,2))]. 7944 T(K(x,y),z * x) = K(x,T(y,z)). [para(11(a,1),7939(a,1,2,2)),flip(a)]. 7945 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7743,a,7940,a),flip(a)]. 7946 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7940(a,1),7102(a,1,2))]. 7947 T(K(x,y),z * x) = T(K(x,y),z). [hyper(290,a,7109,a(flip),b,7944,a),flip(a)]. 7948 T(K(x,y),T(y,z) * x) = K(x,y). [para(172(a,1),7944(a,2,2))]. 7949 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7947(a,2),7343(a,1))]. 7950 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7932(a,1),6991(a,1,2))]. 7951 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7932(a,1),7030(a,1,2))]. 7952 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(106(a,1),7950(a,1,2,2)),flip(a)]. 7954 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(290,a,7325,a(flip),b,7952,a),flip(a)]. 7955 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7952(a,2),7326(a,1))]. 7956 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [hyper(290,a,7573,a,b,7954,a)]. 7957 T(x,T(y,z * x)) = T(x,T(y,z)). [para(11(a,1),7954(a,1,2,2)),flip(a)]. 7958 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(78(a,1),7954(a,1,2,2)),flip(a)]. 7959 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7958(a,1),7925(a,1,2))]. 7960 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(23(a,1),7933(a,1))]. 7961 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7109(a,2),7949(a,1))]. 7962 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(106(a,1),7951(a,1,2,2)),flip(a)]. 7963 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7476(a,1),7960(a,1))]. 7964 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7606(a,1),7924(a,1,1))]. 7965 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(7943(a,2),7413(a,1))]. 7966 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5803,a,7946,a),flip(a)]. 7967 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7604(a,1),7966(a,2,2))]. 7968 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(121,a,7967,a(flip),b,4728,a(flip))]. 7969 K(x,T(y,z)) * (z * x) != z * u | T(x,y) = u. [para(7967(a,2),45(a,1))]. 7971 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7109(a,1),7967(a,1,1))]. 7972 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7140(a,1),7967(a,1,1))]. 7973 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7174(a,1),7967(a,1,1))]. 7974 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1833(a,1),7968(a,1,1,2))]. 7975 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7280(a,1),7968(a,1,1,2)),flip(a)]. 7977 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7956(a,2),7955(a,1))]. 7978 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(106(a,1),7959(a,1,2,2)),flip(a)]. 7979 T(x,T(y,z)) != K(x,y) * u | T(x,K(y,z * x)) = u. [para(7957(a,1),7913(a,1))]. 7980 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7923,a,7484,a(flip)),flip(a)]. 7981 T(x \ y,K(z,x)) = x \ T(y,K(z,x)). [hyper(4183,a,7980,a),flip(a)]. 7982 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(4649(a,1),7981(a,2,2))]. 7983 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7982(a,1),7921(a,1,1)),flip(a)]. 7984 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7983(a,1),268(a,1,2))]. 7985 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(9(a,1),7853(a,1,2,1,2)),flip(a)]. 7986 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(4816(a,1),7854(a,1,2,1)),flip(a)]. 7987 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6887(a,1),7986(a,1,2,1)),flip(a)]. 7988 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5152(a,1),7859(a,1,1))]. 7989 T(x,y) * K(x * y,T(x,z)) = R(x,y,x) * K(x,K(y,z)). [para(7861(a,1),5468(a,1,2))]. 7990 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(36,a,4471,a(flip),b,7866,a),flip(a)]. 7991 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3679(a,1),7871(a,1,2,1)),flip(a)]. 7992 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(290,a,7873,a(flip),b,7876,a),flip(a)]. 7994 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6727(a,1),7992(a,1,2))]. 7995 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7994(a,1),7862(a,1,2))]. 7996 K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). [hyper(4680,a,7879,a)]. 7997 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7893(a,1),4888(a,1,2,2))]. 7998 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7167(a,1),7907(a,1,2,1,2))]. 7999 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),7908(a,1,2)),flip(a)]. 8000 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(290,a,3376,a,b,7972,a),flip(a)]. 8001 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(290,a,7968,a(flip),b,7975,a),flip(a)]. 8002 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6021(a,1),8001(a,1,2,1)),flip(a)]. 8003 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4704,a,7985,a)]. 8004 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4442(a,1),7987(a,1,2,1,1)),flip(a)]. 8005 K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). [hyper(290,a,7472,a(flip),b,7996,a),flip(a)]. 8006 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(6740,a,8005,a)]. 8007 K(x,K(y,z)) * K(x,y \ z) != u | K(x,z / y) = u. [para(8005(a,1),6752(a,1,1))]. 8008 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(7457,a,8006,a)]. 8009 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7411(a,1),8006(a,1,1))]. 8010 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(7415(a,1),8006(a,1,1))]. 8011 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(7429(a,1),8006(a,1,1))]. 8012 K(x,K(y * z,(y * u) * z)) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(4617(a,2),8008(a,1,2,2))]. 8013 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(7411(a,1),8008(a,1,1))]. 8014 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [para(7415(a,1),8008(a,1,1))]. 8015 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(7429(a,1),8008(a,1,1))]. 8016 K(x,K(y,z * (u * (z \ x)))) * K(y,L(T(u,z \ x),z \ x,z)) = K(y,(z * (u * (z \ x))) / x). [para(736(a,2),8009(a,1,2,2))]. 8017 K(x,K(y,z)) * K(y,z / x) != u | K(y,x \ z) = u. [para(8009(a,1),7458(a,1,2)),flip(b)]. 8018 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5357(a,2),8010(a,2,2)),flip(a)]. 8019 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [hyper(5329,a,8011,a)]. 8020 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(3043(a,2),8013(a,2,2))]. 8021 K(x,K(y,z \ u)) * K(x,y / ((u \ z) \ 1)) = K(x,((u \ z) \ 1) \ y). [para(7435(a,1),8013(a,1,1))]. 8022 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [hyper(5329,a,8015,a)]. 8023 K(x,K(y,z \ u)) * K(x,y / T(u / z,u)) = K(x,T(u / z,u) \ y). [para(7115(a,1),8015(a,1,1,2))]. 8024 K(x,K(y,y / z)) = K(x,K(y,z)). [hyper(36,a,7671,a,b,8022,a)]. 8025 K(x,L(y,z,1 / z) / (1 / z)) * K(x,K(L(y,z,1 / z),1 / z)) = K(x,z * y). [para(397(a,1),8022(a,2,2))]. 8026 K(x,y / (y \ z)) * K(x,K(y,z)) = K(x,(y \ z) \ y). [para(7472(a,1),8022(a,1,2))]. 8027 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(290,a,7411,a,b,8024,a),flip(a)]. 8028 K(x,K(y,z \ y)) = K(x,K(y,z)). [para(78(a,1),8024(a,1,2,2)),flip(a)]. 8030 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7413,a,8027,a)]. 8031 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(290,a,7429,a,b,8028,a),flip(a)]. 8032 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(65,a,7473,a,b,8028,a)]. 8033 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(7462,a,8031,a)]. 8034 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(65,a,7473,a,b,8031,a)]. 8035 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7451,a,8032,a)]. 8036 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7431,a,8032,a)]. 8037 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(290,a,7415,a(flip),b,8032,a),flip(a)]. 8038 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(81(a,1),8032(a,1,2,2)),flip(a)]. 8039 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5348(a,1),8032(a,1,2))]. 8040 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5350(a,2),8032(a,1,2))]. 8041 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(8032(a,1),7417(a,1,1)),flip(a)]. 8042 K(x,K(y,z)) * (z \ 1) = T(z \ 1,K(x,y)). [para(8032(a,1),7425(a,1,1))]. 8043 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8032(a,1),7393(a,1,2))]. 8044 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(290,a,7383,a,b,8033,a),flip(a)]. 8045 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7462,a,8034,a)]. 8046 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7431,a,8034,a)]. 8047 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(4775(a,2),8034(a,1,2))]. 8048 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5790(a,1),8034(a,1,2)),flip(a)]. 8049 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8034(a,2),7462(a,1))]. 8050 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5453(a,1),8035(a,1,2)),flip(a)]. 8051 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(5621,a,8036,a)]. 8052 K(1 / x,K(y,z)) = K(y,K(z,x)). [hyper(4943,a,8036,a)]. 8053 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(290,a,7415,a(flip),b,8036,a),flip(a)]. 8055 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8044(a,1),7424(a,1,2)),flip(a)]. 8056 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8044(a,2),7384(a,1))]. 8057 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5444(a,2),8045(a,1,2))]. 8059 K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. [para(8046(a,2),7462(a,1))]. 8060 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8047(a,2),7462(a,1))]. 8061 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(65,a,5347,a(flip),b,8052,a)]. 8062 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8052(a,2),7462(a,1))]. 8063 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8040(a,2),7462(a,1))]. 8064 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(290,a,7417,a(flip),b,8041,a),flip(a)]. 8065 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7498,a,8064,a)]. 8067 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(8064(a,1),7921(a,1,1))]. 8068 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8064(a,1),7960(a,1))]. 8069 T(T(x,y \ 1),K(z,y)) != u | T(x,T(y \ 1,z)) = u. [para(8064(a,1),7963(a,1))]. 8070 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5852(a,1),8065(a,1,2))]. 8071 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6202(a,1),8048(a,1,2)),flip(a)]. 8072 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8048(a,1),7462(a,1))]. 8073 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(290,a,7449,a(flip),b,8055,a),flip(a)]. 8074 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(5827,a,8073,a)]. 8075 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8074(a,1),5347(a,2,1,1))]. 8076 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(290,a,7662,a(flip),b,8070,a),flip(a)]. 8077 T(x,K(y \ z,z)) = T(x,K(y,z)). [hyper(290,a,7476,a,b,8076,a),flip(a)]. 8078 T(x,K(y,y / z)) = T(x,K(z,y)). [para(81(a,1),8076(a,1,2,1)),flip(a)]. 8079 T(x,K(y,z \ y)) = T(x,K(z,y)). [para(5882(a,1),8076(a,1,2)),flip(a)]. 8080 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(65,a,8070,a,b,8079,a)]. 8081 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5348(a,1),8049(a,1,2))]. 8082 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5350(a,2),8049(a,1,2))]. 8083 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(7652,a,8043,a),flip(a)]. 8084 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(7401,a,8043,a),flip(a)]. 8085 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8043(a,1),7401(a,1))]. 8086 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(7343,a,8083,a)]. 8087 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(8083(a,1),7149(a,1,2)),flip(a)]. 8090 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(8084(a,2),3448(a,1))]. 8091 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(65,a,7942,a(flip),b,8086,a)]. 8092 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(81(a,1),8086(a,1,2,2)),flip(a)]. 8093 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(106(a,1),8086(a,1,2)),flip(a)]. 8094 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5935(a,1),8086(a,1,2))]. 8095 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(9(a,1),8091(a,1,2,2))]. 8096 K(x,T(y,z)) * (z \ x) = (z \ x) * K(x,y). [para(8091(a,1),7511(a,1,1))]. 8097 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(5939(a,2),8090(a,1))]. 8099 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(290,a,4471,a,b,8087,a),flip(a)]. 8100 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8087(a,2),4475(a,1))]. 8101 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(7345,a,8094,a),flip(a)]. 8102 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8094(a,1),7348(a,1))]. 8103 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(290,a,8094,a,b,8101,a),flip(a)]. 8104 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(9(a,1),8101(a,1,2,2))]. 8105 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(170(a,1),8095(a,1,2)),flip(a)]. 8106 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(171(a,1),8095(a,1,2)),flip(a)]. 8107 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7506(a,1),8097(a,1))]. 8108 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7942(a,2),8102(a,1))]. 8109 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(3723(a,1),8108(a,1,2))]. 8110 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5935(a,1),8108(a,1,2))]. 8111 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(7748(a,1),8108(a,1,2))]. 8112 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(7662(a,1),8067(a,1,1))]. 8113 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6071(a,1),8103(a,1,2))]. 8114 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(10(a,1),8113(a,1,2,2,2))]. 8116 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(290,a,519,a(flip),b,7999,a),flip(a)]. 8117 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(290,a,7109,a(flip),b,8116,a),flip(a)]. 8118 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8036(a,1),8051(a,1,1))]. 8119 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8046(a,1),8051(a,1,1))]. 8120 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8053(a,1),8051(a,1,1))]. 8121 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8118(a,1),94(a,1,2))]. 8122 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8118(a,1),271(a,1,2))]. 8123 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(65,a,8118,a(flip),b,8119,a)]. 8124 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8119(a,1),94(a,1,2))]. 8125 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(65,a,8119,a(flip),b,8120,a)]. 8126 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(65,a,8118,a(flip),b,8120,a),flip(a)]. 8127 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(65,a,7858,a(flip),b,8120,a)]. 8128 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(7462,a,8123,a)]. 8129 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(273(a,1),8126(a,2,2,2))]. 8130 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8126(a,2),7413(a,1))]. 8131 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(290,a,7411,a,b,8127,a),flip(a)]. 8132 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(65,a,7990,a(flip),b,8131,a)]. 8133 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8131(a,2),7413(a,1))]. 8134 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(290,a,8123,a,b,8132,a),flip(a)]. 8135 L(K(x,K(y,z)),u,w) = K(y,L(K(x,z),u,w)). [hyper(290,a,8120,a,b,8132,a)]. 8136 K(x,L(K(y,z),u,w)) = K(x,L(K(z,y),u,w)). [hyper(290,a,8132,a,b,8134,a)]. 8137 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6076(a,1),8134(a,1,2)),flip(a)]. 8138 L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)). [para(8135(a,2),4491(a,2,1)),flip(a)]. 8139 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [para(5600(a,2),8136(a,1,2))]. 8140 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5991(a,1),8057(a,2,2))]. 8141 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8105(a,1),4658(a,1,2))]. 8142 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8105(a,2),7421(a,2,1))]. 8143 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8106(a,1),6327(a,1,2))]. 8144 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(290,a,8091,a(flip),b,8114,a),flip(a)]. 8146 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(65,a,8125,a,b,8137,a)]. 8147 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(8118(a,1),8138(a,1,1))]. 8148 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [hyper(7419,a,8147,a),flip(a)]. 8149 T(x,L(K(y,z),u,w)) != v5 | T(x,K(y,L(z,u,w))) = v5. [para(8147(a,1),7419(a,1))]. 8150 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(8148(a,1),450(a,1,2))]. 8151 L(x \ y,y / x,y / x) = T(x \ y,(y / x) \ 1). [hyper(65,a,6602,a,b,7093,a)]. 8152 T(x * K(K(y,z \ 1) / z,T(x,y)),(1 / z) * x) = L(x,T(K(y,z \ 1) / z,y),x). [para(5087(a,1),7195(a,1,2,1))]. 8153 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1319(a,1),7225(a,1,2)),flip(a)]. 8154 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(65,a,6339,a(flip),b,7307,a)]. 8156 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(290,a,3704,a(flip),b,8154,a),flip(a)]. 8157 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(290,a,3658,a(flip),b,8154,a),flip(a)]. 8159 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(8154(a,1),1262(a,1,1))]. 8160 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4435(a,1),8154(a,1,1)),flip(a)]. 8161 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(1436,a,8157,a)]. 8162 T(x,x * (y / T(x,z))) = T(x,y). [para(82(a,1),8161(a,1,2)),flip(a)]. 8163 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(7354,a,8099,a),flip(a)]. 8164 T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. [hyper(7403,a,8042,a),flip(a)]. 8165 T(1 / x,K(y,z)) \ 1 = T(x,K(y,z)). [hyper(7072,a,8164,a)]. 8166 a(T(x \ 1,K(y,z)),u,w) = a(T(x,K(y,z)),u,w). [para(8164(a,2),2169(a,1,1))]. 8167 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(7055,a,8165,a)]. 8168 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6731(a,1),8167(a,1,2)),flip(a)]. 8169 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(290,a,7544,a(flip),b,7603,a),flip(a)]. 8170 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(448(a,1),8169(a,1,2,2,1,1))]. 8171 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4568(a,1),8169(a,1,2,2))]. 8172 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(4837(a,1),8170(a,1,2,2)),flip(a)]. 8173 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7389(a,1),8170(a,1,2,2))]. 8174 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7511(a,1),8170(a,1,2,2))]. 8175 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(290,a,7109,a(flip),b,8172,a),flip(a)]. 8176 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(7817,a,8173,a)]. 8177 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(6750(a,1),8174(a,1,2,2)),flip(a)]. 8179 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(7817,a,8175,a)]. 8180 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [para(4837(a,1),8179(a,1,2)),flip(a)]. 8181 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(7967(a,1),8180(a,1,2))]. 8182 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(290,a,7948,a(flip),b,8181,a),flip(a)]. 8183 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(8182(a,1),5306(a,1,2)),flip(a)]. 8184 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(290,a,4814,a(flip),b,8183,a),flip(a)]. 8185 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(8184(a,1),104(a,1,2))]. 8188 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(7979,a,7909,a(flip))]. 8189 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),8188(a,1,2,2)),flip(a)]. 8190 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(7570,a,8189,a)]. 8191 T(x,K(y,x * z)) = T(x,K(y,z)). [para(9(a,1),8190(a,1,2,2)),flip(a)]. 8192 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(290,a,7476,a,b,8191,a),flip(a)]. 8193 x * K(K(x * y,z),x) = T(x,K(y,z)). [hyper(5333,a,8192,a)]. 8194 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8192(a,1),23(a,1,1)),flip(a)]. 8195 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8192(a,1),7921(a,1,1))]. 8196 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(290,a,7912,a(flip),b,8194,a),flip(a)]. 8197 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(120,a,8196,a(flip),b,6736,a)]. 8198 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(3729,a,8195,a)]. 8199 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8198(a,1),225(a,1,2))]. 8200 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7429(a,1),8130(a,1))]. 8201 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8118(a,2),8130(a,1))]. 8203 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8132(a,2),8130(a,1))]. 8205 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(7858(a,2),8133(a,1))]. 8206 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(120,a,8141,a(flip),b,5051,a),flip(a)]. 8207 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8141(a,1),5112(a,1,1)),flip(a)]. 8208 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(120,a,8143,a(flip),b,5051,a),flip(a)]. 8209 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(120,a,8143,a(flip),b,4437,a),flip(a)]. 8210 (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(8143(a,1),18(a,2,2,2)),flip(a)]. 8211 T(x * (y / z),K(y,z)) = (y / z) * T(x,z \ y). [hyper(65,a,8080,a(flip),b,7217,a)]. 8212 (x \ y) * (K(x,x \ y) * T(z,x \ y)) = T(z * (y / x),K(y,x)). [hyper(290,a,5102,a,b,8211,a)]. 8214 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(290,a,7096,a(flip),b,7245,a),flip(a)]. 8216 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(65,a,6276,a(flip),b,7254,a),flip(a)]. 8217 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(8216(a,1),4815(a,1,1))]. 8218 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(106(a,1),7375(a,1,1,1))]. 8219 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5439(a,1),7399(a,1,1)),flip(a)]. 8220 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5439(a,1),7432(a,1,2)),flip(a)]. 8221 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(65,a,8219,a,b,8220,a)]. 8222 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7411(a,1),8221(a,1,1))]. 8223 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8222(a,2),4475(a,1,2))]. 8224 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6442(a,1),8222(a,2,2))]. 8225 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),7443(a,1,2,1))]. 8226 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. [para(7549(a,2),7645(a,1))]. 8227 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(8226,a,6077,a),flip(a)]. 8228 L(K(x,y),z,u) != w | K(x,L(y,z / T(y,v5),u)) = w. [para(12(a,1),8226(a,1,2))]. 8229 L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. [para(103(a,1),8226(a,1,2,2))]. 8230 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7102(a,1),8227(a,1,2,2))]. 8231 L(K(x,y),z,u) != w | K(x,L(y,z / y,u)) = w. [para(12(a,1),8229(a,1,2))]. 8232 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [hyper(8228,a,xx)]. 8233 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(182(a,1),8232(a,1,2,2)),flip(a)]. 8234 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(254(a,1),8232(a,1,2,2))]. 8236 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(65,a,6109,a(flip),b,8233,a),flip(a)]. 8238 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(12(a,1),8233(a,1,2))]. 8239 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8233(a,1),94(a,1,2))]. 8240 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4437(a,1),8233(a,1,2))]. 8241 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(290,a,467,a(flip),b,8234,a),flip(a)]. 8242 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,L(y,y \ 1,u)). [para(8241(a,2),5217(a,2,2))]. 8243 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8238(a,1),8132(a,1,2)),flip(a)]. 8244 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(290,a,7538,a(flip),b,7550,a),flip(a)]. 8246 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(104(a,1),8244(a,1,2))]. 8248 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5971,a,8246,a),flip(a)]. 8249 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(65,a,6060,a(flip),b,8246,a),flip(a)]. 8250 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4441(a,1),8246(a,1,2))]. 8251 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7519(a,1),8246(a,1,1))]. 8252 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(290,a,7540,a(flip),b,7551,a),flip(a)]. 8253 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7551(a,2),7646(a,1))]. 8255 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(10(a,1),8252(a,1,2)),flip(a)]. 8256 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(65,a,6482,a,b,8255,a)]. 8257 R(K(x,y),K(z,y),u) = K(x,y). [hyper(520,a,8256,a),flip(a)]. 8259 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(4837(a,1),8256(a,1,2)),flip(a)]. 8260 R(K(x,y),K(y,z),u) = K(x,y). [hyper(520,a,8259,a),flip(a)]. 8261 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(8260(a,1),100(a,1,1)),flip(a)]. 8263 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(8260(a,1),2986(a,1,1)),flip(a)]. 8264 L(x,K(y,z),K(u,y)) = x. [hyper(459,a,8261,a)]. 8266 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(121,a,8261,a(flip),b,4487,a)]. 8267 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(8261(a,1),311(a,1,2))]. 8268 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(4651(a,2),8261(a,1,1))]. 8269 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5274(a,1),8261(a,1,1)),flip(a)]. 8270 L(x,K(y,z),K(y,u)) = x. [hyper(65,a,4823,a,b,8264,a)]. 8272 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(1274,a,8270,a),flip(a)]. 8273 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(65,a,5509,a(flip),b,8270,a)]. 8274 L(x,K(y,z),K(y,u)) != w | x = w. [para(8270(a,1),52(a,2))]. 8276 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(8268(a,1),3472(a,2,2,1))]. 8277 (K(x,y) * K(x,y)) * z = y * (T(T(y,x),x) \ z). [hyper(290,a,5549,a(flip),b,8272,a),flip(a)]. 8278 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [para(7398(a,1),8272(a,1,1)),flip(a)]. 8279 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(65,a,5684,a(flip),b,8273,a),flip(a)]. 8280 (K(x,y) * (K(x,y) * z)) \ u = z \ ((K(y,x) * K(y,x)) * u). [para(8273(a,1),622(a,1,1))]. 8281 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(8278(a,1),4166(a,1,1,2,1))]. 8282 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(103(a,1),8253(a,1,2,1))]. 8283 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(65,a,7841,a(flip),b,7593,a)]. 8284 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7641,a,8283,a),flip(a)]. 8286 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6892(a,1),8284(a,1,1,2)),flip(a)]. 8288 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7167(a,1),8286(a,1,1,2,1))]. 8289 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(497(a,1),8288(a,1,1))]. 8290 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4434(a,1),7599(a,1,1,1,2))]. 8291 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7390,a,7650,a),flip(a)]. 8292 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),8291(a,1,2,2)),flip(a)]. 8293 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(290,a,7968,a,b,7703,a)]. 8294 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7438,a,7724,a),flip(a)]. 8295 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(5695,a,8294,a),flip(a)]. 8296 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(5587(a,1),8294(a,2,2))]. 8297 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8294(a,2),6732(a,1,1))]. 8298 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7417(a,1),8295(a,1,1)),flip(a)]. 8299 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6723(a,1),8297(a,1,1,1))]. 8300 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(141,a,8299,a),flip(a)]. 8301 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [para(8300(a,1),7485(a,1,2))]. 8302 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7914(a,1),7752(a,2,1))]. 8303 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(290,a,8216,a(flip),b,7759,a),flip(a)]. 8304 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(101(a,1),8303(a,1,1)),flip(a)]. 8305 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(7780(a,2),7343(a,1))]. 8306 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7412(a,1),7791(a,2,2))]. 8307 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(9(a,1),7852(a,2,2))]. 8308 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3679(a,1),7869(a,1,2,1))]. 8309 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(65,a,7885,a(flip),b,7886,a),flip(a)]. 8310 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(65,a,7882,a(flip),b,8309,a),flip(a)]. 8311 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(65,a,5839,a(flip),b,8310,a),flip(a)]. 8312 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(7889(a,1),480(a,1,1,1))]. 8313 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(290,a,4471,a,b,7937,a),flip(a)]. 8314 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8313(a,1),7960(a,1))]. 8315 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(65,a,7968,a(flip),b,7974,a),flip(a)]. 8316 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(290,a,7884,a(flip),b,8112,a),flip(a)]. 8317 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(290,a,3723,a(flip),b,8316,a),flip(a)]. 8318 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(5937,a,8317,a)]. 8319 T(T(x,K(y,z)),z / y) = T(x,y \ z). [para(5319(a,1),8318(a,1,1)),flip(a)]. 8320 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(7005(a,1),8318(a,1,1)),flip(a)]. 8321 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(7476(a,1),8318(a,1,1))]. 8322 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7481(a,1),8318(a,1,1)),flip(a)]. 8323 T(T(x,T(y,z)),y \ z) = T(T(x,y),z / y). [para(7914(a,1),8318(a,1,1))]. 8324 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(824,a,8319,a)]. 8325 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [para(4159(a,1),8319(a,1,1))]. 8326 T(T(x,K(y,z)),z / (z \ y)) = T(x,(z \ y) \ z). [para(8080(a,1),8319(a,1,1))]. 8327 T(T(x,y / z),K(z,y)) != u | T(x,z \ y) = u. [para(8321(a,1),7499(a,1,1))]. 8328 T(x / (y / z),z \ y) = T((y / z) \ x,K(y,z)). [hyper(689,a,8322,a),flip(a)]. 8329 T(T(x,y / z),K(y,y / z)) = T(x,z \ y). [hyper(65,a,8078,a,b,8324,a)]. 8331 T(x,T(y / z,y)) = T(x,z \ y). [hyper(7963,a,8329,a)]. 8332 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(78(a,1),8331(a,1,2,1)),flip(a)]. 8333 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(383,a,8332,a),flip(a)]. 8334 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(105(a,2),8332(a,1,2))]. 8335 T(x,T(y \ 1,y * z)) = T(x,T(y \ 1,z)). [para(3897(a,2),8332(a,1,2))]. 8336 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(65,a,7919,a(flip),b,8334,a),flip(a)]. 8337 T(x,T(y,y * z)) = T(x,T(y,z)). [para(9(a,1),8334(a,1,2,2)),flip(a)]. 8339 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(65,a,3723,a,b,8325,a)]. 8340 T(x / (y / z),T(z \ y,x / (y / z))) = T((y / z) \ x,K(y,z)). [hyper(3625,a,8328,a)]. 8341 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4174(a,2),8199(a,1,2))]. 8344 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4833,a,8217,a),flip(a)]. 8345 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(290,a,8032,a(flip),b,8224,a),flip(a)]. 8346 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8224(a,2),7450(a,1,1))]. 8347 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8032(a,1),8345(a,1,1))]. 8348 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8037(a,1),8345(a,1,1))]. 8349 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(65,a,8222,a(flip),b,8347,a)]. 8350 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8347(a,2),4471(a,2,2)),flip(a)]. 8351 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(65,a,8347,a(flip),b,8348,a),flip(a)]. 8352 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(65,a,8221,a(flip),b,8348,a)]. 8353 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3382(a,1),8349(a,1,2)),flip(a)]. 8354 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(290,a,3272,a(flip),b,8351,a),flip(a)]. 8355 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6529(a,1),8352(a,1,2)),flip(a)]. 8356 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(290,a,8230,a(flip),b,8240,a),flip(a)]. 8358 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(486(a,1),8243(a,1,2,2)),flip(a)]. 8359 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(290,a,7538,a(flip),b,8251,a),flip(a)]. 8360 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8251(a,2),7644(a,1))]. 8362 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(10(a,1),8359(a,1,2)),flip(a)]. 8363 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(65,a,8250,a,b,8362,a)]. 8364 L(K(x,y),K(z,x),u) = K(x,y). [hyper(469,a,8363,a),flip(a)]. 8366 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(7234(a,1),8363(a,1,2))]. 8367 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8364(a,1),94(a,1,2))]. 8369 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8364(a,1),457(a,1,2,1))]. 8370 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6740,a,8367,a)]. 8371 R(x,K(y,z),K(z,u)) = x. [hyper(503,a,8367,a)]. 8372 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(65,a,6861,a(flip),b,8367,a),flip(a)]. 8373 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(4651(a,2),8367(a,2,2))]. 8374 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(290,a,6727,a(flip),b,8371,a),flip(a)]. 8376 (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(8371(a,1),2937(a,1,1,1))]. 8377 R(x,T(K(y,z),u),K(z,w)) = x. [para(5154(a,1),8371(a,1,2))]. 8378 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5421(a,1),8371(a,1,3))]. 8379 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5587(a,1),8371(a,1,2))]. 8380 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8371(a,1),5773(a,1,1))]. 8381 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6447(a,1),8371(a,1,3))]. 8382 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5166(a,1),8377(a,1,3))]. 8383 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(8378(a,1),53(a,2))]. 8384 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8379(a,1),543(a,1,1))]. 8385 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(8381(a,1),53(a,2))]. 8386 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8382(a,1),953(a,1,1)),flip(a)]. 8387 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8382(a,1),6543(a,1)),flip(a)]. 8388 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(65,a,3725,a(flip),b,8380,a),flip(a)]. 8389 (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),8380(a,1,2,2))]. 8390 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1671(a,1),8380(a,1,2))]. 8391 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8380(a,2),4680(a,1))]. 8393 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(65,a,5151,a,b,8388,a)]. 8394 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(8388(a,1),6732(a,1,1))]. 8395 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(8388(a,1),6737(a,1,1))]. 8396 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(9(a,1),8393(a,1,2,2)),flip(a)]. 8397 x \ R(x,T(y,x),x) = a(x,y,x). [para(215(a,1),8396(a,1,2)),flip(a)]. 8398 x \ R(x,y,x) = a(x,y,x). [para(3801(a,1),8397(a,1,2))]. 8399 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5385,a,8398,a)]. 8400 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5127,a,8398,a)]. 8401 x * a(x,y,x) = R(x,y,x). [hyper(141,a,8398,a)]. 8402 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(65,a,6343,a,b,8398,a)]. 8403 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(65,a,5151,a(flip),b,8398,a)]. 8405 a(x,y,x) * x = R(x,y,x). [para(8398(a,1),1766(a,1,1))]. 8406 a(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(8398(a,1),5385(a,1))]. 8407 T(x * y,x) / x = y * a(x,y,x). [para(8398(a,1),6850(a,1,2)),flip(a)]. 8408 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8398(a,1),7193(a,1,2)),flip(a)]. 8409 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8401(a,1),307(a,1,2))]. 8410 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6740,a,8399,a)]. 8411 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(4842,a,8399,a)]. 8414 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(8399(a,1),8261(a,1,1)),flip(a)]. 8415 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(4842,a,8400,a)]. 8416 (x * y) \ T(y * x,y) = a(y,x,y). [hyper(65,a,6206,a,b,8400,a)]. 8417 K(x,x \ y) * K(y,x) = a(x,x \ y,x). [para(10(a,1),8400(a,1,2,1))]. 8418 a(x,y,x) * (y * x) = T(x * y,x). [para(8400(a,1),6205(a,1,1))]. 8419 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(8400(a,1),6742(a,1,1))]. 8420 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(65,a,1677,a,b,8407,a)]. 8421 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(10(a,1),8407(a,1,1,1)),flip(a)]. 8422 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8407(a,1),106(a,1,1))]. 8423 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8407(a,2),220(a,1,2,2))]. 8424 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(8407(a,2),452(a,1,2,2))]. 8425 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8407(a,2),868(a,1,2,2,2))]. 8426 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(4964(a,2),8409(a,1))]. 8427 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [hyper(120,a,4969,a(flip),b,8410,a)]. 8428 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(5945(a,1),8410(a,2,1))]. 8429 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7940(a,1),8410(a,1,2))]. 8430 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10(a,1),8411(a,1,1,2))]. 8434 (x * y) * a(y,x,y) = T(y * x,y). [hyper(141,a,8416,a)]. 8435 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8434(a,1),962(a,1,1,2))]. 8438 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5003(a,1),8374(a,1,1))]. 8439 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(4842,a,8414,a)]. 8440 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5094(a,2),8414(a,1,1))]. 8441 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(308,a,8439,a),flip(a)]. 8442 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(8439(a,1),45(a,1)),flip(a)]. 8443 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4905(a,1),8440(a,1,2))]. 8444 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(4842,a,8441,a)]. 8445 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | u = z. [para(8441(a,2),45(a,1)),flip(a)]. 8446 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5047(a,2),8444(a,1,2,1))]. 8447 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(65,a,8269,a(flip),b,8446,a)]. 8448 a(x,y,x) \ x = L(x,y,x). [hyper(4359,a,8447,a),flip(a)]. 8449 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,8447,a),flip(a)]. 8450 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(120,a,9,a(flip),b,8447,a)]. 8452 L(x,y,x) \ x = a(x,y,x). [hyper(41,a,6184,a,b,8448,a)]. 8453 a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) = L(x,y,x) \ L(a(x,y,x) \ x,z,u). [para(8448(a,1),4348(a,1,1)),flip(a)]. 8454 L(x,y,x) \ x = x \ R(x,y,x). [hyper(290,a,8398,a,b,8452,a),flip(a)]. 8455 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(120,a,8452,a(flip),b,1318,a),flip(a)]. 8456 (x / (T(x,y) / y)) \ y = a(y,y \ x,y). [para(7060(a,1),8452(a,1,1))]. 8457 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(65,a,6317,a,b,8454,a)]. 8459 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [para(8449(a,2),8450(a,1,1))]. 8460 R(x,y,a(z,u,z) \ w) = R(x,y,a(z,u,z) * w). [para(8459(a,1),2035(a,1,3)),flip(a)]. 8461 (x / (T(x,y) / y)) \ y = K(y,y \ x) * K(x,y). [hyper(290,a,8417,a,b,8456,a),flip(a)]. 8462 L(K(x,y),K(z,y),u) = K(x,y). [hyper(6871,a,8370,a)]. 8463 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(4651(a,2),8370(a,1,1,2))]. 8464 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(8462(a,1),6744(a,1,2)),flip(a)]. 8465 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(229,a,8373,a,b,624,a)]. 8466 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(65,a,6897,a,b,8373,a)]. 8469 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(37,a,8370,a,b,8463,a(flip))]. 8471 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(8463(a,1),6752(a,1,1))]. 8472 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(5331(a,1),8464(a,1,2))]. 8474 R(x,K(y,z),K(u,y)) = x. [hyper(503,a,8466,a)]. 8475 L(K(x,y),K(y,z),u) = K(x,y). [hyper(459,a,8466,a)]. 8476 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3080(a,1),8466(a,1,1))]. 8477 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6723(a,1),8466(a,1,1)),flip(a)]. 8478 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(x,y)) * K(u,y). [para(7483(a,1),8466(a,1,1)),flip(a)]. 8481 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8474(a,1),1304(a,1,2,2)),flip(a)]. 8483 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(8475(a,1),458(a,1,2,1))]. 8484 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7519(a,1),8475(a,1,2))]. 8485 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8484(a,1),271(a,1,2))]. 8486 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(296,a,8469,a),flip(a)]. 8488 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(8469(a,1),45(a,1)),flip(a)]. 8489 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(8469(a,1),297(a,1,1)),flip(b)]. 8490 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(120,a,4815,a(flip),b,8472,a)]. 8491 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(8490(a,1),6398(a,2,1))]. 8492 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8477(a,1),4574(a,1,1,1))]. 8493 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(4651(a,1),8486(a,1,2))]. 8494 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [para(4651(a,2),8486(a,2,2))]. 8496 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5272(a,1),8372(a,1,2)),flip(a)]. 8497 R(x,y,x) \ x = x \ L(x,y,x). [hyper(899,a,8496,a(flip))]. 8498 x / R(x,y,x) = x \ L(x,y,x). [hyper(119,a,8496,a(flip),b,1663,a(flip)),flip(a)]. 8500 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(120,a,8497,a(flip),b,1243,a)]. 8501 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8498(a,1),2617(a,1,1,2,1))]. 8502 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8500(a,1),4367(a,2,2))]. 8503 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(139,a,8290,a)]. 8504 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(8339(a,1),6796(a,1,2))]. 8505 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8503(a,1),4835(a,1,2))]. 8507 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5203(a,1),8505(a,1,2,1,2,2)),flip(a)]. 8509 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7109(a,2),7134(a,1,1))]. 8510 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7470(a,1),7211(a,1,1)),flip(a)]. 8511 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(290,a,4946,a(flip),b,8510,a),flip(a)]. 8515 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7292(a,1),7302(a,2,2))]. 8516 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(290,a,5149,a(flip),b,8515,a),flip(a)]. 8518 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8409,a,8516,a)]. 8519 a(x,y * K(x,z),x) = a(x,y,x). [hyper(290,a,8398,a(flip),b,8518,a),flip(a)]. 8520 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(7362(a,2),7347(a,1))]. 8521 K(x,y) * R(K(z,K(u,y)),w,w \ K(x,y)) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(5325(a,1),7585(a,1,1,1,2)),flip(a)]. 8522 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7102(a,1),7586(a,1,1,2)),flip(a)]. 8523 K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). [hyper(7602,a,5363,a),flip(a)]. 8524 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(7602,a,5273,a),flip(a)]. 8525 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [hyper(4842,a,8523,a)]. 8526 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(8523(a,1),4843(a,1,2)),flip(b)]. 8527 T(x * K(y,x),z) != u * K(y,x) | T(x,T(z,y)) = u. [para(8524(a,1),46(a,1))]. 8528 T(x * K(y,x),T(z,y)) = T(x,z) * K(y,x). [para(7604(a,1),8524(a,1,1)),flip(a)]. 8529 a(x,L(T(y * K(z,y),u),K(y,z),K(y,z)),w) = a(x,K(y,z) * T(y,T(u,z)),w). [para(8525(a,1),2181(a,1,2,2)),flip(a)]. 8530 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(65,a,7537,a(flip),b,7761,a),flip(a)]. 8531 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5017(a,1),7845(a,1,2))]. 8533 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * (y * z)) / (u * z)). [para(104(a,1),7888(a,1,2,1,2)),flip(a)]. 8534 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(633(a,1),7900(a,1,2))]. 8535 K(x,a(K(x,y),z,u)) = 1. [hyper(65,a,5173,a(flip),b,8534,a),flip(a)]. 8537 T(x,a(K(x,y),z,u)) = x. [hyper(58,a,8535,a)]. 8538 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(56,a,8537,a)]. 8539 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8537(a,1),104(a,1,2))]. 8540 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8537(a,1),7167(a,1,2,1)),flip(a)]. 8541 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8538(a,1),7167(a,1,2,1)),flip(a)]. 8542 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(8124(a,1),7418(a,1))]. 8543 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(65,a,8146,a(flip),b,8129,a)]. 8544 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(5321(a,1),8159(a,1,2,1))]. 8545 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(65,a,8380,a,b,8208,a)]. 8546 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8223,a,8350,a)]. 8547 (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = u. [para(8239(a,1),45(a,1)),flip(a)]. 8548 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(453(a,1),8249(a,2,2))]. 8549 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7595,a,8304,a)]. 8550 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(6735(a,1),8471(a,1,1))]. 8551 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(81(a,1),8504(a,1,2,2)),flip(a)]. 8552 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(5789,a,8509,a)]. 8553 K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(8509(a,1),5789(a,1))]. 8554 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7524,a,8531,a)]. 8555 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(290,a,7218,a(flip),b,8549,a)]. 8556 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(81(a,1),8555(a,1,1,1)),flip(a)]. 8557 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),8556(a,1,1,2)),flip(a)]. 8559 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7016(a,1),8557(a,1,1))]. 8560 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4746(a,1),7002(a,1,2))]. 8561 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4746(a,1),8560(a,2,2))]. 8562 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8561(a,1),445(a,1,2)),flip(a)]. 8563 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3604(a,1),8562(a,1,2,1))]. 8564 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3604(a,1),8563(a,2,2,2))]. 8565 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8564(a,1),3634(a,1,1))]. 8566 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(6129,a,7028,a)]. 8569 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(8(a,1),7099(a,1,2))]. 8570 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7153(a,2),7824(a,1))]. 8571 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(290,a,7162,a(flip),b,7173,a),flip(a)]. 8572 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7173(a,2),7347(a,1))]. 8573 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7162(a,1),7207(a,1,1,2))]. 8574 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(5753,a,7294,a)]. 8575 T((x * y) / x,T(x \ 1,y)) = (x \ 1) \ (x * (y / (x * x))). [para(798(a,1),7364(a,2,2))]. 8576 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(648(a,1),7380(a,1,1,2,1)),flip(a)]. 8577 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(503,a,7560,a)]. 8578 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(8577(a,1),803(a,1,1)),flip(a)]. 8579 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7527(a,1),7592(a,1,1)),flip(a)]. 8581 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8579(a,1),316(a,1))]. 8582 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(7679(a,1),7966(a,1,2)),flip(a)]. 8583 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(7977,a,7702,a),flip(a)]. 8584 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8253,a,7704,a),flip(a)]. 8586 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4420(a,1),8584(a,1,2,2)),flip(a)]. 8587 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7102(a,1),8584(a,1,2,2))]. 8588 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(65,a,6480,a,b,8586,a)]. 8589 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),8588(a,1,2))]. 8590 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7277(a,1),8588(a,1,1))]. 8591 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8587(a,1),6732(a,1,1,2)),flip(a)]. 8592 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1770(a,1),8589(a,2,2))]. 8593 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(290,a,6732,a(flip),b,8591,a),flip(a)]. 8594 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(65,a,6278,a(flip),b,8593,a)]. 8595 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(4837(a,1),8593(a,1,1,2)),flip(a)]. 8597 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(290,a,6274,a(flip),b,8594,a),flip(a)]. 8598 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4509(a,1),8597(a,1,2))]. 8599 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8598(a,1),6456(a,1,1))]. 8600 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8599(a,1),46(a,1)),flip(a)]. 8601 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(65,a,6774,a(flip),b,7847,a),flip(a)]. 8602 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(7818,a,7877,a),flip(a)]. 8603 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(65,a,8336,a(flip),b,8602,a),flip(a)]. 8604 (K(x,y) / x) * (x * z) = K(x,y) * L(z,x,x). [hyper(65,a,6534,a(flip),b,7906,a),flip(a)]. 8605 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(7906(a,1),5992(a,1,2,1))]. 8606 L(K(x,y) * z,x,x) = K(x,y) * L(z,x,x). [hyper(65,a,6553,a(flip),b,8604,a)]. 8607 T(T(x,x \ 1),y) * ((1 / x) * z) = L(K(x,y) * z,x,x). [hyper(290,a,6330,a,b,8606,a)]. 8608 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(290,a,5278,a(flip),b,7964,a),flip(a)]. 8609 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(120,a,8608,a(flip),b,4437,a)]. 8610 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7109(a,2),7995(a,1,2))]. 8611 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(290,a,8033,a(flip),b,8140,a),flip(a)]. 8612 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(81(a,1),8611(a,1,2,2,1,2))]. 8613 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(65,a,5017,a(flip),b,8612,a)]. 8614 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(6795,a,8185,a),flip(a)]. 8615 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(4728(a,2),8614(a,1,2))]. 8616 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(65,a,7910,a(flip),b,8615,a)]. 8617 (K(x,y) * (K(x,y) * z)) \ u = z \ (K(y,x) * (K(y,x) * u)). [para(8272(a,1),8280(a,2,2))]. 8618 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(290,a,8466,a(flip),b,8301,a),flip(a)]. 8619 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8344(a,1),8308(a,2,2))]. 8620 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(290,a,7869,a,b,8619,a)]. 8621 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(65,a,7871,a(flip),b,8620,a),flip(a)]. 8622 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(65,a,7991,a,b,8621,a)]. 8623 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(105(a,1),8622(a,1,2,1))]. 8624 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6877(a,1),8623(a,1,2,1,1))]. 8626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8034(a,1),8346(a,1,1,1)),flip(a)]. 8627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8222(a,1),8626(a,2,1))]. 8628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(290,a,4491,a,b,8627,a),flip(a)]. 8629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(65,a,8065,a(flip),b,8628,a),flip(a)]. 8630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(65,a,8546,a(flip),b,8629,a)]. 8631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(646(a,1),8630(a,1,2,2)),flip(a)]. 8632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8630(a,1),8295(a,2,2))]. 8633 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8407(a,1),8420(a,1,1)),flip(a)]. 8634 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(290,a,2237,a(flip),b,8502,a),flip(a)]. 8635 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(4742(a,1),8634(a,1,2))]. 8636 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(290,a,4984,a(flip),b,8566,a),flip(a)]. 8638 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7309(a,1),8571(a,1,1,1,1,2)),flip(a)]. 8639 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(8574(a,1),451(a,1,2))]. 8640 T((x * y) / x,T(x \ 1,y)) = (x * x) * (y / (x * x)). [hyper(290,a,808,a(flip),b,8575,a),flip(a)]. 8641 T((x * y) / x,T(x \ 1,y)) = T(y,x \ (x \ 1)). [hyper(290,a,1002,a(flip),b,8640,a),flip(a)]. 8642 T((x * y) / x,x \ 1) = T(y,x \ (x \ 1)). [hyper(7260,a,8641,a)]. 8643 T(((x / y) * z) / (x / y),y / x) = T(z,(x / y) \ ((x / y) \ 1)). [hyper(65,a,3723,a(flip),b,8642,a)]. 8644 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(290,a,4811,a(flip),b,8578,a),flip(a)]. 8645 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(65,a,8292,a(flip),b,8603,a)]. 8646 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7343,a,8645,a)]. 8647 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(290,a,8601,a(flip),b,8609,a),flip(a)]. 8648 (x * (T(T(x,y),y) \ z)) \ u = z \ (K(x,y) * (K(x,y) * u)). [para(5549(a,1),8617(a,1,1))]. 8649 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(3665(a,1),8644(a,1,1))]. 8650 (x * (T(T(x,y),y) \ z)) \ u = z \ (y * (T(T(y,x),x) \ u)). [para(5549(a,1),8648(a,2,2))]. 8651 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7109(a,2),7132(a,1,1))]. 8652 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),7229(a,1,1))]. 8653 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(290,a,5190,a(flip),b,7304,a),flip(a)]. 8654 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6723(a,1),8653(a,1,2)),flip(a)]. 8655 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4694,a,7327,a),flip(a)]. 8657 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(65,a,7182,a,b,8655,a)]. 8658 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8657(a,1),6788(a,1,1,2)),flip(a)]. 8659 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(65,a,5748,a(flip),b,7338,a),flip(a)]. 8661 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6071(a,1),8659(a,1,2,1,1))]. 8662 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7543(a,1),8354(a,1,2))]. 8663 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7109(a,2),7574(a,1,1))]. 8664 ((x * y) / x) \ (z * (y * K(x,y))) = T(z,T(y,x)). [hyper(290,a,5901,a(flip),b,7622,a),flip(a)]. 8666 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(7741,a,7897,a),flip(a)]. 8667 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7647,a,8666,a),flip(a)]. 8668 K(x,y / (z * x)) = K(x,y / (x * z)). [para(89(a,1),8667(a,1,2,2))]. 8669 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(4496(a,1),8667(a,1,2,2)),flip(a)]. 8670 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6723(a,1),8667(a,1,2,2)),flip(a)]. 8671 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(290,a,6211,a(flip),b,8668,a),flip(a)]. 8672 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(65,a,6614,a(flip),b,8668,a)]. 8673 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(101(a,2),8668(a,2,2)),flip(a)]. 8674 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6892(a,1),8670(a,1,2,2)),flip(a)]. 8675 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(12(a,1),8671(a,1,2,2,1)),flip(a)]. 8676 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4258(a,1),8671(a,1,2,2,1))]. 8677 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(65,a,4589,a(flip),b,8673,a)]. 8678 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(89(a,1),8674(a,1,2,2,1))]. 8679 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(278(a,1),8674(a,1,2,2,1))]. 8680 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7104(a,1),8674(a,1,2,2,1)),flip(a)]. 8681 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7167(a,1),8674(a,1,2,2,1))]. 8682 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(65,a,8672,a(flip),b,8678,a),flip(a)]. 8683 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(497(a,1),8681(a,1,2))]. 8684 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8682(a,1),4471(a,2,2)),flip(a)]. 8685 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(6727(a,1),8669(a,1,2)),flip(a)]. 8686 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(65,a,5261,a(flip),b,8685,a),flip(a)]. 8687 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(7755,a,7760,a)]. 8688 T(K(x,y),z) * K(x * y,x) = T(x,K(y,z)) \ R(x,y,x). [hyper(7460,a,7856,a),flip(a)]. 8689 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(8149,a,7867,a)]. 8692 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7142(a,1),8522(a,1,1))]. 8693 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(8550,a,6857,a)]. 8694 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8400(a,1),8693(a,1,2))]. 8695 (x * y) / L(y,z,y) = x * a(y,z,y). [para(11(a,1),8694(a,1,1)),flip(a)]. 8696 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1585,a,8695,a)]. 8697 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [hyper(183,a,8695,a)]. 8698 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(11(a,1),8696(a,1,1)),flip(a)]. 8699 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(840(a,1),8697(a,1,2))]. 8700 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(8407(a,2),8697(a,1,1))]. 8701 (x / L(y,z,y)) * y != u | x * a(y,z,y) = u. [para(8698(a,1),296(a,1))]. 8702 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7510(a,1),8700(a,1,2))]. 8703 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(3389,a,8651,a),flip(a)]. 8705 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(65,a,7378,a(flip),b,8703,a),flip(a)]. 8706 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(3063(a,1),8652(a,2,1,1))]. 8707 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(8663(a,1),6454(a,1,1)),flip(a)]. 8708 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(5607(a,1),8689(a,1,1))]. 8709 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(290,a,6866,a(flip),b,8708,a),flip(a)]. 8710 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(7489,a,8709,a)]. 8711 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6991(a,1),6999(a,1,2,2)),flip(a)]. 8712 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(290,a,4866,a(flip),b,8711,a),flip(a)]. 8714 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(65,a,5040,a(flip),b,8712,a),flip(a)]. 8715 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(65,a,6945,a(flip),b,7215,a),flip(a)]. 8716 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(65,a,5251,a(flip),b,8715,a)]. 8717 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(210(a,1),8715(a,1,1,2)),flip(a)]. 8718 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8717(a,2),5836(a,1))]. 8719 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7466(a,1),7440(a,1,1))]. 8720 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8719(a,1),102(a,1,1,1)),flip(a)]. 8721 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8719(a,1),4841(a,1,2))]. 8722 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [para(5826(a,1),7477(a,2,1))]. 8723 T(x,T(y * z,y * y) / (1 / y)) = T(x,T(z * (y * y),y \ 1)). [para(2635(a,1),7616(a,2,2))]. 8724 K(x,T(y * z,y)) != u | K(x,L(z,y,1 / y) / (1 / y)) = u. [para(8092(a,1),7736(a,1))]. 8726 T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). [para(5171(a,2),7936(a,2,2))]. 8727 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(4397(a,1),7941(a,1,2)),flip(a)]. 8728 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7997(a,1),4956(a,1))]. 8729 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4435(a,1),8160(a,1,1)),flip(a)]. 8730 R(x,y,x * K(z,x)) = R(x,y,x). [para(4435(a,1),8729(a,1,3)),flip(a)]. 8731 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4488(a,1),8730(a,1,3))]. 8732 K(x,x \ y) * (z * (x \ y)) = T(z * (y / x),K(y,x)). [hyper(5405,a,8212,a)]. 8733 K(x,x \ y) * (z * (x \ y)) = T(z * (y / x),K(x,y)). [hyper(290,a,7476,a,b,8732,a),flip(a)]. 8734 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(5170(a,1),8279(a,1,2)),flip(a)]. 8735 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(290,a,4905,a(flip),b,8734,a),flip(a)]. 8736 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(7771(a,1),8735(a,2,2))]. 8737 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7415(a,1),8306(a,1,1,1))]. 8738 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(9(a,1),8307(a,1,2))]. 8739 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(65,a,8636,a(flip),b,8738,a)]. 8740 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8739(a,2),8107(a,1))]. 8741 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(4682(a,2),8369(a,2,2))]. 8742 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(6723(a,1),8369(a,1,1)),flip(a)]. 8747 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(6723(a,1),8483(a,1,1)),flip(a)]. 8748 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(290,a,7202,a(flip),b,8658,a),flip(a)]. 8749 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),8748(a,2,2))]. 8750 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3624(a,2),8749(a,1,2,1)),flip(a)]. 8751 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(65,a,8659,a(flip),b,8661,a),flip(a)]. 8752 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(290,a,8675,a(flip),b,8676,a),flip(a)]. 8753 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(65,a,8677,a,b,8752,a)]. 8754 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(81(a,1),8753(a,2,2,2,1))]. 8755 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [hyper(290,a,7883,a(flip),b,8722,a),flip(a)]. 8756 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [hyper(7498,a,8755,a)]. 8757 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(5790(a,1),8756(a,1,2))]. 8758 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [hyper(65,a,6322,a,b,8757,a)]. 8759 T(x,T(y * z,y * y) / (1 / y)) != u | T(x,T(z * (y * y),y)) = u. [para(8723(a,2),8100(a,1))]. 8760 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [hyper(290,a,4471,a,b,8726,a),flip(a)]. 8761 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(7744,a,8760,a)]. 8762 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(106(a,1),8760(a,2,2,2))]. 8763 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(65,a,8078,a(flip),b,8762,a)]. 8764 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(65,a,8761,a(flip),b,8763,a)]. 8765 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8314,a,8764,a)]. 8766 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(78(a,1),8765(a,1,2,1,2)),flip(a)]. 8767 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(65,a,7795,a(flip),b,8766,a),flip(a)]. 8768 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(65,a,7778,a,b,8767,a)]. 8769 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8298(a,1),8737(a,1,1))]. 8770 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7415(a,1),8769(a,2,1))]. 8771 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7411(a,1),8770(a,2,2))]. 8772 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(121,a,6848,a(flip),b,8742,a)]. 8773 (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(290,a,3472,a(flip),b,8747,a),flip(a)]. 8774 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(5245(a,1),8758(a,1,2))]. 8775 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [hyper(6741,a,8774,a)]. 8776 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5348(a,1),8775(a,1,2))]. 8777 (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). [para(7109(a,2),8776(a,1,1,1))]. 8778 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8153(a,2),7355(a,1))]. 8779 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(1770(a,2),7591(a,1,1))]. 8780 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(290,a,7398,a,b,7596,a)]. 8781 K(x,y) * (R(T(y,x),z,z) / y) = a(T(y,x),z,z). [para(203(a,1),7773(a,1,1,2))]. 8782 L(K(x,y),z,u) * K(y,x) != w | a(u,z * K(x,y),K(y,x)) = w. [para(8384(a,1),6746(a,1))]. 8783 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(8782,a,4681,a)]. 8784 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6723(a,1),8783(a,1,2)),flip(a)]. 8785 T(x,a(y,z,K(x,u))) = x. [para(8784(a,1),6992(a,1,2))]. 8786 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8366(a,1),8784(a,1,2))]. 8787 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(8785(a,1),7102(a,1,2,2)),flip(a)]. 8788 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(4951,a,8786,a)]. 8789 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(4842,a,8786,a)]. 8790 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(4657,a,8786,a)]. 8791 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(855,a,8786,a)]. 8792 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(65,a,5609,a,b,8786,a)]. 8793 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5417(a,1),8786(a,1,2))]. 8795 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6090(a,1),8786(a,1,2))]. 8796 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(8786(a,1),6583(a,1,1)),flip(a)]. 8798 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(8788(a,1),4855(a,1))]. 8799 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(8789(a,1),7890(a,1,2,2,2)),flip(a)]. 8800 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5610,a,8790,a)]. 8802 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6076(a,1),8790(a,1,1))]. 8803 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(6090(a,1),8790(a,1,1))]. 8804 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(6311(a,1),8800(a,1,1))]. 8805 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(8795(a,1),5104(a,2,2))]. 8806 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5608(a,1),8796(a,1,2)),flip(a)]. 8807 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(120,a,4837,a(flip),b,8806,a),flip(a)]. 8808 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(8791(a,1),6903(a,1,1))]. 8809 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5587(a,1),8793(a,1,1))]. 8810 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(290,a,7331,a(flip),b,8799,a),flip(a)]. 8812 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(8573(a,2),8485(a,1))]. 8813 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3161(a,1),8551(a,2,2))]. 8814 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(65,a,3165,a(flip),b,8813,a),flip(a)]. 8815 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2636(a,1),8814(a,1,2,2)),flip(a)]. 8816 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2636(a,1),8815(a,1,1,1)),flip(a)]. 8817 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(183,a,8816,a)]. 8818 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(106(a,1),8817(a,1,1,1,1))]. 8819 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(106(a,1),8818(a,2,2))]. 8820 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8218(a,1),8819(a,1,1))]. 8821 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(6650(a,2),8820(a,1,1,2))]. 8822 (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(8653(a,1),8821(a,1,1,2))]. 8823 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7162(a,1),8707(a,1,1))]. 8824 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(4849(a,1),8779(a,2,2))]. 8825 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(8779(a,1),8034(a,2,2))]. 8826 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(8812,a,7614,a)]. 8827 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7613(a,1),8826(a,1,2)),flip(a)]. 8828 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6269(a,1),8827(a,2,2))]. 8829 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7177(a,1),8823(a,1,1))]. 8830 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(65,a,8663,a(flip),b,8829,a),flip(a)]. 8831 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6895(a,2),8830(a,1,1))]. 8832 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(8831(a,1),4831(a,1))]. 8833 (x \ ((1 / x) \ y)) * T(x,x \ 1) = ((1 / x) \ (x \ y)) * x. [para(5277(a,1),7092(a,1,1))]. 8834 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(7109(a,2),7156(a,1,2,1))]. 8835 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1272(a,1),7609(a,1,2)),flip(a)]. 8836 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(290,a,6158,a,b,7691,a),flip(a)]. 8837 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(290,a,8741,a(flip),b,7868,a),flip(a)]. 8838 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8062,a,8075,a)]. 8839 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(290,a,8061,a(flip),b,8838,a),flip(a)]. 8840 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(526(a,2),8839(a,1,2,2))]. 8841 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7109(a,2),8293(a,1,2))]. 8842 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(8179(a,1),8386(a,1,2)),flip(a)]. 8844 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1544(a,1),8423(a,1,2,2))]. 8845 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(290,a,8505,a(flip),b,8507,a),flip(a)]. 8846 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(81(a,1),8845(a,1,2,1,1)),flip(a)]. 8847 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3428(a,1),8649(a,1,1,1))]. 8848 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(4946(a,1),8847(a,1,2,1))]. 8849 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(3657(a,1),8848(a,1,1))]. 8850 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(8849(a,1),4442(a,1,2))]. 8851 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7247,a,8805,a)]. 8852 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(174(a,1),8851(a,1,2,2))]. 8853 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(7052(a,1),8836(a,2,1))]. 8854 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5094(a,1),8853(a,1,2))]. 8855 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(8854(a,1),6974(a,1,2)),flip(a)]. 8857 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3601(a,2),8855(a,2,2,1))]. 8858 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(36,a,8855,a(flip),b,8857,a(flip)),flip(a)]. 8859 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(4865(a,1),8858(a,1,1,1))]. 8860 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7204,a,8841,a),flip(a)]. 8861 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(104(a,1),8844(a,1,2)),flip(a)]. 8862 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7607(a,1),8859(a,2,1,2))]. 8863 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(5186,a,7047,a),flip(a)]. 8864 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(290,a,5185,a(flip),b,7339,a),flip(a)]. 8865 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(290,a,5188,a(flip),b,7340,a),flip(a)]. 8866 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4557(a,1),8865(a,1,1)),flip(a)]. 8867 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7480(a,1),7782(a,1,1,3))]. 8868 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(4811(a,1),8867(a,2,2))]. 8869 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7462,a,8355,a)]. 8870 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7687(a,1),8702(a,1,1))]. 8871 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7034(a,1),8714(a,1,1,2))]. 8872 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(65,a,5040,a(flip),b,8871,a),flip(a)]. 8874 ((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(8872(a,1),6596(a,2,2,2,1,1))]. 8875 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7186(a,1),8872(a,1,2)),flip(a)]. 8876 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(7604(a,1),8875(a,1,2))]. 8877 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(290,a,154,a(flip),b,8720,a),flip(a)]. 8878 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(290,a,4459,a,b,8877,a),flip(a)]. 8880 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(290,a,7411,a,b,8878,a),flip(a)]. 8881 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(8869(a,1),7462(a,1))]. 8882 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7510(a,1),8870(a,1,1,2,1))]. 8883 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(290,a,9,a(flip),b,7766,a),flip(a)]. 8885 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(141,a,8883,a)]. 8886 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(8885(a,1),6388(a,1,2))]. 8887 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(290,a,7534,a(flip),b,8210,a),flip(a)]. 8889 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(8489,a,8266,a)]. 8890 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5587(a,1),8296(a,1,1,2))]. 8891 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(4183,a,8890,a),flip(a)]. 8892 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(5607(a,1),8891(a,1,1))]. 8893 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(290,a,5607,a(flip),b,8892,a),flip(a)]. 8894 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(290,a,225,a(flip),b,8893,a),flip(a)]. 8895 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1589(a,1),8545(a,1,2))]. 8896 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(733,a,8895,a),flip(a)]. 8898 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(65,a,8209,a,b,8896,a)]. 8899 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6215(a,1),8896(a,1,2)),flip(a)]. 8900 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(4842,a,8898,a)]. 8901 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(8900(a,1),45(a,1))]. 8902 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4230(a,1),7371(a,1,1))]. 8903 (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(7162(a,1),7577(a,2,1,2))]. 8904 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(4836(a,1),7676(a,1,2)),flip(a)]. 8905 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(290,a,3700,a(flip),b,8904,a),flip(a)]. 8906 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(733,a,8390,a),flip(a)]. 8908 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(65,a,8206,a(flip),b,8906,a)]. 8909 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(8906(a,1),6737(a,1,1))]. 8910 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(7042(a,1),8906(a,1,1))]. 8911 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(8906(a,1),7859(a,1,1)),flip(a)]. 8912 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(141,a,8908,a)]. 8913 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(8876(a,2),8908(a,1,2))]. 8914 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(8912(a,1),307(a,1,2))]. 8915 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),8909(a,1,2,2))]. 8916 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(8914,a,8913,a)]. 8917 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(65,a,4001,a(flip),b,8916,a),flip(a)]. 8918 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(3988,a,8917,a)]. 8919 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3589(a,1),8435(a,1,1)),flip(a)]. 8920 K(x,y) * R(K(z,K(y,u)),w,w \ K(x,y)) = (K(u,K(z,y)) * w) * (w \ K(x,y)). [para(7415(a,2),8521(a,1,2,1))]. 8921 a(x,L(T(y * K(z,y),u),K(y,z),K(y,z)),w) = a(x,T(T(y,u),z),w). [para(7273(a,1),8529(a,2,2))]. 8922 a(x,T(y * K(z,y),u),w) = a(x,T(T(y,u),z),w). [para(8270(a,1),8921(a,1,2))]. 8923 a(T(x,T(y,z)),T(T(y,x),z),u) = a(x,y * K(z,y),u). [hyper(7621,a,8922,a),flip(a)]. 8925 a(x,y * K(z,y),u) = a(x,T(y,z),u). [hyper(3990,a,8923,a),flip(a)]. 8926 a(x,y * K(z,y),u) != w | a(x,T(y,z),u) = w. [para(8923(a,1),3990(a,1))]. 8927 R(x,y * K(z,y),y * K(z,y)) = x * a(x,T(y,z),y * K(z,y)). [para(8925(a,1),2198(a,1,2)),flip(a)]. 8929 a(x,(y * z) / y,u) != w | a(x,T(z,y),u) = w. [para(4434(a,2),8926(a,1,2))]. 8930 R(x,y * K(z,y),y * K(z,y)) = x * a(x,T(y,z),T(y,z)). [para(6828(a,1),8927(a,2,2))]. 8931 R(x,y * K(z,y),y * K(z,y)) != u | R(x,T(y,z),T(y,z)) = u. [para(8930(a,2),2200(a,1))]. 8932 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),8687(a,1,1,2))]. 8933 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8751(a,1),8902(a,1,1))]. 8934 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8610(a,1),8903(a,2,1))]. 8935 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(290,a,8868,a(flip),b,8934,a),flip(a)]. 8936 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7162(a,1),8935(a,1,1,2))]. 8937 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7511(a,1),8936(a,1,2))]. 8938 (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(8540(a,2),8937(a,1,1))]. 8939 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7036(a,1),8910(a,1,2)),flip(a)]. 8940 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(290,a,8906,a(flip),b,8939,a),flip(a)]. 8942 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(106(a,1),8940(a,1,2)),flip(a)]. 8943 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(492(a,1),8940(a,1,2,2))]. 8944 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(8942(a,1),8915(a,1,1))]. 8945 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(290,a,7038,a(flip),b,8944,a),flip(a)]. 8946 K(x,y) * K(y,K(z,R(u,w,w \ K(x,y)))) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(8348(a,1),8920(a,1,2))]. 8947 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(7476(a,1),8932(a,1,2))]. 8948 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(67(a,1),8933(a,1,1,2,1))]. 8949 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7106(a,1),8948(a,1,2))]. 8950 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3257(a,1),8949(a,1,2))]. 8951 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(290,a,4280,a(flip),b,8950,a),flip(a)]. 8952 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3445(a,1),8947(a,1,2))]. 8954 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(8952(a,1),5040(a,1,1,2))]. 8955 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4866(a,1),8954(a,1,1))]. 8956 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(65,a,6563,a(flip),b,8955,a),flip(a)]. 8957 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(8956(a,1),8207(a,2,1))]. 8958 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(290,a,5178,a(flip),b,7781,a),flip(a)]. 8959 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(105(a,1),8958(a,1,1,1))]. 8960 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(192(a,1),7786(a,1,1))]. 8962 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6727(a,1),8960(a,1,2))]. 8963 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6608(a,1),8962(a,1,2)),flip(a)]. 8964 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(290,a,7,a(flip),b,8963,a),flip(a)]. 8965 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(4842,a,8964,a)]. 8966 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(3838(a,1),8965(a,1,2,2))]. 8967 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(8352(a,1),8965(a,1,1))]. 8968 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(7731(a,1),8018(a,2,1))]. 8969 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(7832(a,2),8968(a,2,2))]. 8970 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(65,a,5926,a,b,8969,a)]. 8971 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5401,a,8970,a)]. 8973 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(65,a,7814,a(flip),b,8289,a),flip(a)]. 8975 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(20(a,2),8973(a,1,1))]. 8976 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(65,a,7381,a,b,8975,a)]. 8977 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(65,a,8559,a,b,8976,a)]. 8978 a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) = L(x,y,x) \ L(L(x,y,x),z,u). [para(8448(a,1),8453(a,2,2,1))]. 8979 a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) != w | L(x \ L(x,z,u),y,x) = w. [para(8978(a,2),6576(a,1))]. 8980 K(x,T(T(T(x,y) * z,u),w)) != v5 | K(x,T(T(z * T(x,v6),u),w)) = v5. [para(8638(a,2),8572(a,1))]. 8981 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(8980,a,8004,a)]. 8982 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(65,a,7810,a(flip),b,8683,a),flip(a)]. 8984 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(20(a,2),8982(a,1,2))]. 8985 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(65,a,7360,a,b,8984,a)]. 8986 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(8985(a,1),4471(a,2,2)),flip(a)]. 8987 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4475,a,8986,a),flip(a)]. 8988 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(4889(a,1),8987(a,1,2,1)),flip(a)]. 8990 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(3273(a,1),7723(a,1,2,1)),flip(a)]. 8991 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3273(a,1),8990(a,1,2)),flip(a)]. 8993 (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(8991(a,1),636(a,1,1,1)),flip(a)]. 8995 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(7488(a,1),8544(a,1,2))]. 8996 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(290,a,8176,a(flip),b,8995,a),flip(a)]. 8998 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),8548(a,1,2,1))]. 9000 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),8998(a,1,2))]. 9001 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(6449(a,1),8825(a,1,2))]. 9002 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(65,a,8352,a(flip),b,9001,a)]. 9003 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(104(a,1),8894(a,1,1))]. 9004 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(8952(a,1),8957(a,1,2,1))]. 9005 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(4889(a,1),9004(a,1,2))]. 9007 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(7109(a,2),8967(a,1,2,2,1))]. 9008 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(4811(a,1),9007(a,1,2))]. 9009 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(9008(a,1),46(a,1)),flip(a)]. 9010 L(K(x,L(y,z,u)),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(x,y)))). [para(94(a,1),5520(a,1,2)),flip(a)]. 9011 (x * (y * z)) \ (x * (y * (z * K(u,z)))) = K(u,L(z,y,x)). [hyper(5971,a,9010,a),flip(a)]. 9013 (x * (y * z)) * K(u,L(z,y,x)) = x * (y * (z * K(u,z))). [hyper(141,a,9011,a)]. 9014 ((x * y) * (x * K(y,x))) / (x * y) = T(x * y,x) / ((x * y) / x). [para(81(a,1),5951(a,1,1,2)),flip(a)]. 9015 ((x * y) * (x * K(y,x))) / (x * y) = x * (K(x * y,x) * K(y,x)). [hyper(290,a,6296,a(flip),b,9014,a),flip(a)]. 9016 ((x * y) * (x * K(y,x))) / (x * y) = T(y * x,x) / y. [hyper(290,a,6412,a(flip),b,9015,a),flip(a)]. 9024 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4998(a,1),6244(a,1,1,2))]. 9025 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(290,a,658,a(flip),b,9024,a),flip(a)]. 9027 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(139,a,9025,a)]. 9028 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(38,a,4835,a,b,9025,a)]. 9032 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7415(a,2),9027(a,1,1))]. 9033 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(121,a,9028,a(flip),b,8261,a)]. 9034 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(4837(a,1),9028(a,1,2,2)),flip(a)]. 9035 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(4859(a,1),9033(a,1,1))]. 9036 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(290,a,8268,a,b,9034,a)]. 9037 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(290,a,8261,a,b,9034,a)]. 9038 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(290,a,4755,a,b,9034,a)]. 9039 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(290,a,8850,a(flip),b,9034,a),flip(a)]. 9040 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(4837(a,1),9034(a,2,2))]. 9041 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6087(a,1),9034(a,1,2,1)),flip(a)]. 9042 L(x,K(y,z),K(z,u)) = x. [hyper(459,a,9036,a)]. 9043 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(9036(a,1),311(a,1,2))]. 9044 K(x,y) * (K(x * y,x) * z) = (x \ R(x,y,x)) * z. [para(4964(a,1),9036(a,1,1)),flip(a)]. 9045 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(290,a,3681,a(flip),b,9042,a),flip(a)]. 9046 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(65,a,5509,a(flip),b,9042,a)]. 9047 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7162(a,1),9042(a,1,2))]. 9048 L(x,K(y,z),K(u,K(z,w))) = x. [para(7411(a,1),9042(a,1,3))]. 9049 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(9042(a,1),8465(a,1,1,1)),flip(a)]. 9050 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1274,a,9047,a),flip(a)]. 9051 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1274,a,9048,a),flip(a)]. 9052 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. [para(9037(a,1),4475(a,1))]. 9053 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(4842,a,9040,a)]. 9054 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(121,a,9040,a(flip),b,9037,a)]. 9055 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(4651(a,1),9046(a,1,1))]. 9056 (((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(9053(a,1),2117(a,1,1,1,1))]. 9057 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7511(a,1),9054(a,1,1))]. 9058 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7162(a,1),9055(a,1,1,1))]. 9059 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(9039(a,1),4437(a,1,2)),flip(a)]. 9060 (x \ R(x,y,x)) * T(z,K(x,x * y)) = K(x,y) * (z * K(x * y,x)). [para(7485(a,1),9044(a,1,2)),flip(a)]. 9061 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4437(a,1),9038(a,1,2))]. 9063 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [hyper(65,a,5468,a(flip),b,9059,a),flip(a)]. 9064 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7415(a,2),9032(a,2,2,1))]. 9065 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(4651(a,1),9049(a,1,2,2))]. 9066 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9051(a,2),953(a,1,2))]. 9067 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(308,a,9064,a),flip(a)]. 9068 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(9065(a,1),6763(a,1,1))]. 9069 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7415(a,2),9067(a,1,2,1))]. 9070 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(8842(a,1),9043(a,1))]. 9071 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(205(a,2),9035(a,1,2,2,2))]. 9072 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7511(a,1),9057(a,1,2))]. 9073 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(290,a,7175,a(flip),b,9072,a),flip(a)]. 9074 (x \ R(x,y,x)) * T(z,K(x,y)) = K(x,y) * (z * K(x * y,x)). [para(7659(a,1),9060(a,1,2))]. 9075 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6087(a,1),9041(a,1,1))]. 9076 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(290,a,8796,a(flip),b,9075,a),flip(a)]. 9077 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(65,a,8807,a(flip),b,9076,a)]. 9078 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(537,a,9077,a)]. 9079 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(309,a,9077,a)]. 9080 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(290,a,8787,a,b,9077,a),flip(a)]. 9082 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(9077(a,1),300(a,1,2)),flip(b)]. 9084 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(36,a,8808,a,b,9079,a),flip(a)]. 9085 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9080(a,2),45(a,1))]. 9086 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6815(a,1),9068(a,1,1,1)),flip(a)]. 9087 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(3747(a,1),6580(a,1,2))]. 9088 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(290,a,5187,a(flip),b,9087,a),flip(a)]. 9091 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(456(a,1),5080(a,1,2))]. 9092 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(225(a,1),9091(a,1,2,2))]. 9093 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4438(a,1),9092(a,1,2,2))]. 9094 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(9093(a,1),297(a,1,1)),flip(b)]. 9095 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1237(a,1),9093(a,1,1,2))]. 9096 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(9093(a,1),4835(a,1,2)),flip(a)]. 9098 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9093(a,1),8259(a,1,2)),flip(a)]. 9099 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(9093(a,1),8597(a,1,2)),flip(a)]. 9100 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(9093(a,1),8680(a,1,2,2,1)),flip(a)]. 9101 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(4842,a,9095,a),flip(a)]. 9102 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(4837(a,1),9095(a,1,2,2)),flip(a)]. 9103 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(7519(a,1),9095(a,1,1))]. 9104 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(65,a,8977,a(flip),b,9098,a),flip(a)]. 9106 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(65,a,8557,a(flip),b,9104,a),flip(a)]. 9107 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(9106(a,1),4594(a,2,2,2))]. 9108 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7234(a,1),9099(a,1,2,2))]. 9109 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(120,a,72,a(flip),b,9101,a),flip(a)]. 9110 (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(120,a,9109,a,b,1553,a)]. 9112 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5571,a,9102,a)]. 9113 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9112(a,1),6846(a,1,1,2)),flip(a)]. 9114 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(290,a,6732,a(flip),b,9113,a),flip(a)]. 9115 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(65,a,6466,a(flip),b,9114,a)]. 9116 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(9107(a,2),4596(a,1))]. 9117 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(9116,a,8988,a),flip(a)]. 9119 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(7261,a,9117,a)]. 9120 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(65,a,8590,a(flip),b,9108,a),flip(a)]. 9122 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(65,a,8588,a(flip),b,9120,a),flip(a)]. 9123 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(65,a,8984,a(flip),b,9122,a)]. 9124 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(6723(a,1),9122(a,1,2,1)),flip(a)]. 9126 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(4837(a,1),9123(a,1,2,2)),flip(a)]. 9127 K(x,R(y,K(x,z),u)) = K(x,y). [para(493(a,1),9126(a,1,2)),flip(a)]. 9128 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(554(a,1),9126(a,1,2)),flip(a)]. 9129 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),9127(a,1,2))]. 9130 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(290,a,8522,a,b,9096,a)]. 9131 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(23(a,1),9130(a,1,1,2))]. 9132 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9130(a,1),5607(a,1,1)),flip(a)]. 9133 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(290,a,4811,a(flip),b,9132,a),flip(a)]. 9134 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7162(a,1),9133(a,1,1,1))]. 9135 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7162(a,1),9134(a,1,1,1))]. 9136 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9131(a,1),9135(a,1,1))]. 9137 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(121,a,9093,a(flip),b,9136,a),flip(a)]. 9138 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [hyper(4854,a,9137,a)]. 9139 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(65,a,9130,a,b,9137,a)]. 9140 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(136,a,9138,a),flip(a)]. 9141 L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(9139(a,2),9094(a,1))]. 9142 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7519(a,1),9103(a,1,2,2,1))]. 9144 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(65,a,6221,a(flip),b,6652,a),flip(a)]. 9145 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(65,a,5202,a(flip),b,9144,a),flip(a)]. 9147 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(65,a,7700,a(flip),b,9145,a)]. 9148 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(65,a,5202,a(flip),b,9145,a),flip(a)]. 9150 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1242(a,1),6834(a,1,2,2,1))]. 9151 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7415(a,1),6968(a,1,2,2))]. 9152 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5424(a,1),8809(a,1,2))]. 9153 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5587(a,1),9152(a,2,3))]. 9154 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5140,a,9005,a)]. 9159 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6490(a,1),9150(a,1,2,2,1,2))]. 9160 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(4411(a,2),9159(a,1,2,2,1))]. 9161 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7109(a,2),9160(a,1,2,2))]. 9162 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1256,a,9161,a),flip(a)]. 9163 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(290,a,7272,a(flip),b,9162,a),flip(a)]. 9164 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(65,a,7988,a(flip),b,9163,a)]. 9165 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(7825,a,9164,a),flip(a)]. 9166 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(65,a,8408,a(flip),b,9165,a)]. 9167 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(9166(a,1),8697(a,1,1))]. 9168 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(3443(a,1),9167(a,1,2))]. 9169 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7196,a,9168,a)]. 9170 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(4770,a,9169,a)]. 9171 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(65,a,8951,a(flip),b,9170,a)]. 9173 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(65,a,4286,a(flip),b,9171,a)]. 9174 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(106(a,1),9173(a,1,2,1)),flip(a)]. 9175 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7109(a,2),9151(a,2,1,1))]. 9176 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(7799,a,9154,a)]. 9177 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7171(a,1),9175(a,2,1))]. 9178 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(290,a,8484,a(flip),b,9177,a),flip(a)]. 9181 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7065(a,2),9178(a,1,1))]. 9182 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7301(a,1),9181(a,1,2,2))]. 9183 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(8(a,1),9182(a,1,2))]. 9184 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(4855,a,9183,a)]. 9185 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7098(a,1),9184(a,1,1))]. 9186 L((x \ (1 * L(x,y,z))) \ u,x \ L(x \ 1,y,z),x) = L(x \ 1,y,z) \ ((x \ 1) * u). [para(67(a,1),4366(a,1,1,1,2,2,1))]. 9187 L((x \ L(x,y,z)) \ u,x \ L(x \ 1,y,z),x) = L(x \ 1,y,z) \ ((x \ 1) * u). [para(7(a,1),9186(a,1,1,1,2))]. 9188 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4748(a,1),4806(a,1,1))]. 9189 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(290,a,6727,a(flip),b,4825,a),flip(a)]. 9190 (x \ ((x \ 1) \ y)) * (T(1 / x,x \ ((x \ 1) \ y)) * z) = ((x \ y) / (1 / x)) * ((1 / x) * z). [para(807(a,1),5478(a,1,2,1,2))]. 9191 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6265(a,1),6395(a,1,2,2))]. 9192 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(12(a,1),6622(a,1,2,1))]. 9193 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1961,a,9192,a),flip(a)]. 9195 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(290,a,6402,a(flip),b,9193,a),flip(a)]. 9196 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(6303(a,1),9195(a,1,1,2))]. 9197 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3102,a,9196,a),flip(a)]. 9198 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(105(a,2),9197(a,1,2,2))]. 9199 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(65,a,5253,a(flip),b,9198,a),flip(a)]. 9200 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(290,a,4137,a(flip),b,6704,a),flip(a)]. 9201 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(290,a,1332,a(flip),b,9200,a),flip(a)]. 9202 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1776(a,1),9201(a,1,2))]. 9203 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(120,a,4333,a(flip),b,9202,a)]. 9204 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(7235,a,6893,a(flip)),flip(a)]. 9205 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(171(a,1),9204(a,2,1,2))]. 9206 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1577(a,1),9205(a,1,2)),flip(a)]. 9207 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6131,a,9206,a)]. 9208 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(65,a,6109,a(flip),b,9206,a),flip(a)]. 9209 a(x,L(y,z,u),K(w,y)) = 1. [hyper(55,a,9206,a)]. 9212 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5018(a,1),8020(a,1,1,2))]. 9213 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(8030(a,1),9212(a,1,1))]. 9214 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(36,a,8971,a(flip),b,9213,a),flip(a)]. 9216 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(65,a,4792,a(flip),b,9214,a)]. 9218 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(8260(a,1),8263(a,2,2,1,1))]. 9219 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(4810(a,1),9218(a,2,2,1))]. 9221 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4810(a,1),9219(a,1,1,2,1))]. 9222 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(65,a,4851,a(flip),b,9221,a)]. 9223 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(9221(a,1),494(a,1,1,1)),flip(a)]. 9224 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(9221(a,2),6585(a,1,1))]. 9226 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(7385(a,1),9224(a,1,1,1,2,1))]. 9227 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(65,a,7680,a(flip),b,8281,a),flip(a)]. 9228 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1497(a,2),8438(a,2,1))]. 9229 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(4811(a,1),8476(a,1,1,1))]. 9230 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(9073(a,1),8492(a,1,1))]. 9231 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(6432(a,2),8686(a,2,2,2))]. 9232 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(6727(a,1),9189(a,1,1))]. 9233 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(4829(a,1),9229(a,1,1,2)),flip(a)]. 9234 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6736(a,1),9233(a,2,1))]. 9235 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(290,a,8294,a,b,9234,a),flip(a)]. 9236 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(4832(a,1),9235(a,1,1,1))]. 9237 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(4811(a,1),9236(a,1,1))]. 9238 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(65,a,8889,a(flip),b,9237,a),flip(a)]. 9239 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7483(a,1),9238(a,1,1)),flip(a)]. 9240 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(65,a,9058,a(flip),b,9230,a),flip(a)]. 9241 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(290,a,7282,a(flip),b,9231,a),flip(a)]. 9243 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(6127(a,1),9241(a,1,2,2))]. 9245 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(5978(a,1),9243(a,1,2)),flip(a)]. 9246 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(4810(a,1),9232(a,1,2,2,1)),flip(a)]. 9247 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(290,a,8747,a(flip),b,9246,a),flip(a)]. 9248 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(6740,a,9247,a)]. 9250 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7162(a,1),9240(a,2,2,1))]. 9251 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(8(a,1),9250(a,2,2))]. 9252 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,(x * y) * (y \ 1)). [para(251(a,1),5508(a,1,2))]. 9253 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,R(x,y,y \ 1)). [para(251(a,1),9252(a,2,2,2))]. 9254 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1641(a,2),8424(a,1,2,2))]. 9255 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),9056(a,1,1,1)),flip(a)]. 9257 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(8257(a,1),9255(a,1,2,1)),flip(a)]. 9259 ((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(9257(a,1),5432(a,1,2,2))]. 9260 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(4760(a,1),9259(a,1,2)),flip(a)]. 9261 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(290,a,4741,a(flip),b,9260,a),flip(a)]. 9263 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(290,a,4837,a(flip),b,9261,a),flip(a)]. 9265 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5431(a,1),9263(a,1,2))]. 9266 L(x,K(y,z) * K(u,z),T(z,u)) != w | x = w. [para(9265(a,1),52(a,2))]. 9267 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(94(a,1),9254(a,1,2)),flip(a)]. 9268 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(7846(a,1),4195(a,1,2,1,2))]. 9269 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(6009(a,1),6013(a,2,2,1,1))]. 9270 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(290,a,1624,a(flip),b,9269,a),flip(a)]. 9271 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(22(a,2),9270(a,2,2,2,1))]. 9272 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(227(a,1),9271(a,2,2))]. 9273 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(3596(a,1),9272(a,1,2,2,1))]. 9274 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3614(a,1),9273(a,1,2))]. 9275 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(100(a,1),9274(a,2,2))]. 9276 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(65,a,9100,a(flip),b,6570,a),flip(a)]. 9278 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1200(a,1),6661(a,2,1))]. 9279 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(65,a,9278,a(flip),b,6662,a),flip(a)]. 9280 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1200(a,1),9279(a,1,1)),flip(a)]. 9281 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4470(a,1),6817(a,1,2,2,1))]. 9283 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(6837(a,1),9281(a,1,2,2))]. 9284 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(165,a,9283,a)]. 9285 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(67(a,1),9284(a,2,1))]. 9286 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(120,a,3538,a(flip),b,9285,a)]. 9287 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(6847(a,1),6855(a,1,1,1))]. 9288 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(5633(a,2),7086(a,1,1))]. 9289 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(8494(a,1),8276(a,2,2))]. 9290 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4910(a,1),9268(a,1,2,1)),flip(a)]. 9291 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3996(a,1),9290(a,1,2))]. 9293 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(65,a,6636,a,b,9291,a)]. 9296 K(x * K(y,z),(x / y) \ 1) != u | K(x,x \ T(y,z)) = u. [para(9293(a,2),5142(a,1))]. 9297 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(8478(a,1),9289(a,2,2))]. 9298 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(7476(a,1),9297(a,2,2,1))]. 9299 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(8295(a,1),9298(a,2,2,1))]. 9300 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(7483(a,1),9299(a,2,2))]. 9301 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(290,a,8268,a(flip),b,9300,a),flip(a)]. 9302 T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). [para(104(a,1),9301(a,2,2))]. 9303 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(121,a,8618,a(flip),b,9302,a)]. 9304 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(4519,a,9303,a)]. 9305 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(36,a,4471,a(flip),b,9304,a)]. 9306 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(9305(a,2),4471(a,2,2)),flip(a)]. 9308 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(4651(a,1),9306(a,1,2,1))]. 9309 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(65,a,9239,a(flip),b,9308,a)]. 9311 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [hyper(7487,a,9309,a)]. 9312 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(824,a,9309,a)]. 9313 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(65,a,8630,a,b,9309,a)]. 9314 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(4651(a,1),9309(a,2,2))]. 9315 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(4651(a,1),9311(a,2,2))]. 9316 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(8556(a,1),9311(a,1,1,2)),flip(a)]. 9317 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(9311(a,1),9086(a,2,1))]. 9318 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(65,a,9309,a(flip),b,9312,a)]. 9319 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(9314(a,1),8771(a,1,1))]. 9320 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4564,a,9318,a)]. 9321 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(36,a,9308,a,b,9320,a)]. 9322 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [hyper(36,a,9306,a,b,9320,a)]. 9323 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(9320(a,1),4475(a,1))]. 9324 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(4651(a,1),9322(a,2,2))]. 9325 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(121,a,9324,a,b,4407,a(flip))]. 9326 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(65,a,9305,a(flip),b,9324,a)]. 9327 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(9309(a,2),9323(a,1))]. 9330 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4501,a,9319,a),flip(a)]. 9332 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(290,a,9321,a(flip),b,9330,a),flip(a)]. 9333 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(6467(a,1),9330(a,1,2,2)),flip(a)]. 9334 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(290,a,9305,a,b,9332,a),flip(a)]. 9335 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(65,a,9069,a,b,9332,a)]. 9336 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7429(a,1),9332(a,1,1))]. 9337 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(7710(a,1),9332(a,1,1))]. 9338 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(290,a,9326,a(flip),b,9336,a),flip(a)]. 9339 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(65,a,9315,a(flip),b,9313,a),flip(a)]. 9340 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(290,a,4400,a,b,9317,a),flip(a)]. 9341 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(4811(a,1),9340(a,1,2))]. 9343 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(9323,a,9339,a)]. 9344 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(290,a,4471,a(flip),b,9343,a)]. 9345 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(8629(a,1),9316(a,2,1))]. 9346 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(36,a,4471,a(flip),b,9344,a)]. 9347 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(290,a,9312,a(flip),b,9345,a),flip(a)]. 9348 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8556(a,1),9347(a,1,2,2))]. 9349 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(290,a,9318,a,b,9348,a)]. 9350 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(65,a,8493,a(flip),b,9325,a)]. 9351 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(7411(a,1),9335(a,1,2,2,2))]. 9352 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(7710(a,1),9337(a,1,2)),flip(a)]. 9353 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(9352(a,1),7305(a,1))]. 9355 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(9330(a,1),9353(a,1))]. 9356 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(9334(a,1),9353(a,1))]. 9357 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(9341(a,2),9356(a,1))]. 9358 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(65,a,6041,a(flip),b,9350,a)]. 9359 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5074,a,9351,a)]. 9360 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7411(a,1),9359(a,1,1))]. 9361 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(4427(a,1),9358(a,1,1)),flip(a)]. 9362 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(290,a,7,a(flip),b,9361,a),flip(a)]. 9364 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(4651(a,1),9362(a,2,1))]. 9365 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(4651(a,2),9364(a,1,2,1))]. 9366 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(9365(a,1),310(a,1,1))]. 9367 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(8349(a,1),9333(a,2,2))]. 9368 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(290,a,9330,a(flip),b,9367,a),flip(a)]. 9369 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6467(a,1),9368(a,1,1,2))]. 9370 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6473(a,1),4927(a,1,1,2,1)),flip(a)]. 9371 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4810(a,1),9370(a,2,1,2))]. 9373 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6723(a,1),9371(a,2,1))]. 9374 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(136,a,9373,a)]. 9375 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(9374(a,1),2806(a,1,1,1)),flip(a)]. 9376 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6521(a,1),9375(a,2,1))]. 9377 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6512(a,1),9376(a,1,2,2))]. 9378 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7618(a,1),9377(a,1,2))]. 9379 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7983(a,1),9378(a,1,2)),flip(a)]. 9380 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(7984,a,9379,a(flip)),flip(a)]. 9382 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(9380(a,1),5868(a,1,2,1))]. 9383 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(9380(a,2),6165(a,1,2,1))]. 9384 K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). [para(7889(a,1),9382(a,1,1,1))]. 9385 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(290,a,6724,a(flip),b,6328,a),flip(a)]. 9386 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(290,a,8373,a(flip),b,9385,a),flip(a)]. 9387 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8898(a,1),9386(a,2,2))]. 9388 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5851(a,1),9387(a,1,1))]. 9389 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6325(a,1),9388(a,1,2))]. 9390 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(65,a,6902,a(flip),b,9389,a)]. 9391 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8143(a,1),9390(a,1,2))]. 9392 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [hyper(290,a,5426,a(flip),b,5038,a),flip(a)]. 9393 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(4434(a,1),9392(a,1,1))]. 9394 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(7183(a,1),9393(a,1,1,2))]. 9395 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(5790(a,1),9394(a,2,2))]. 9396 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(5024(a,1),9395(a,2,2))]. 9397 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [hyper(139,a,9396,a)]. 9398 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(37,a,5429,a(flip),b,9397,a),flip(a)]. 9399 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(125,a,9398,a)]. 9400 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(7469(a,1),9399(a,1,2,2))]. 9401 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(7385(a,1),8582(a,2,1))]. 9402 (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(4811(a,1),9110(a,1,1,2))]. 9403 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(290,a,7849,a(flip),b,9401,a),flip(a)]. 9404 ((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(6863(a,1),9402(a,1,1))]. 9405 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6727(a,1),8481(a,2,2,2))]. 9406 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(5752(a,1),8639(a,1,1)),flip(a)]. 9407 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(290,a,4898,a(flip),b,9406,a),flip(a)]. 9409 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(290,a,4492,a(flip),b,9407,a),flip(a)]. 9410 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(5752(a,1),9409(a,1,2))]. 9411 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(65,a,7295,a(flip),b,9410,a)]. 9413 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(8347(a,1),9226(a,1,1,1,2))]. 9414 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(9036(a,1),9405(a,2,2))]. 9415 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(9360(a,1),9413(a,1,1,1))]. 9416 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(10(a,1),6294(a,2,2,1,2))]. 9417 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(290,a,226,a(flip),b,9416,a),flip(a)]. 9418 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(226(a,1),9417(a,1,2))]. 9419 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(4811(a,1),9418(a,1,2,2))]. 9420 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(290,a,3007,a(flip),b,9419,a),flip(a)]. 9421 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8457(a,1),8501(a,1,1,2))]. 9422 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8498(a,1),9421(a,1,2,1))]. 9423 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(1767(a,1),9422(a,1,2,2))]. 9424 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2950(a,1),9423(a,1,2)),flip(a)]. 9426 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8498(a,1),9424(a,1,2,1))]. 9427 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(8457(a,1),9426(a,1,2)),flip(a)]. 9428 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8498(a,1),9427(a,2,3))]. 9429 (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(1795(a,1),8822(a,1,1))]. 9430 (((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),2231(a,2,2,1,1))]. 9431 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1620(a,1),9430(a,1,1))]. 9432 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1635(a,1),9431(a,1,1,1))]. 9433 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(509,a,9432,a),flip(a)]. 9434 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(767(a,1),9433(a,2,1,2))]. 9435 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1252(a,1),9434(a,1,2))]. 9436 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(191(a,1),9435(a,2,1,2))]. 9437 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1793(a,2),9436(a,2,1))]. 9438 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(290,a,1888,a(flip),b,9437,a),flip(a)]. 9440 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(36,a,6282,a,b,9438,a),flip(a)]. 9441 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(9440(a,1),307(a,1,2))]. 9442 (x \ 1) \ (R(x,y,z) \ 1) != u | R(x,y,z) \ x = u. [para(5680(a,1),9441(a,1))]. 9443 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(9442,a,2995,a),flip(a)]. 9444 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(9442,a,6559,a(flip)),flip(a)]. 9445 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(9443(a,1),5093(a,1,2,1))]. 9446 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(8908(a,1),9443(a,1,1)),flip(a)]. 9447 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(57,a,9444,a)]. 9448 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9447(a,1),5087(a,1,1,1))]. 9449 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9448(a,1),2243(a,1,1)),flip(a)]. 9450 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(3987(a,1),9446(a,2,1))]. 9451 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6526(a,2),9445(a,1,2,1))]. 9452 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(8876(a,1),9450(a,1,1))]. 9453 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(8918(a,1),9452(a,2,1))]. 9454 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(65,a,9446,a(flip),b,9453,a)]. 9455 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9448(a,1),9449(a,2,2,1,1))]. 9456 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(81(a,1),9455(a,2,2,1))]. 9458 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(290,a,1769,a(flip),b,9456,a),flip(a)]. 9459 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(81(a,1),9458(a,1,1,2,1))]. 9460 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(1769(a,1),9459(a,1,1))]. 9461 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(5942,a,9460,a)]. 9462 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(9461(a,1),9288(a,1,1,1))]. 9463 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(822,a,9462,a)]. 9464 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(100(a,1),9463(a,1,1,2))]. 9465 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(14(a,2),9464(a,1,1)),flip(a)]. 9468 (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(290,a,501,a(flip),b,8993,a),flip(a)]. 9469 (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(65,a,1621,a(flip),b,9468,a)]. 9470 (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(4838(a,1),9469(a,1,1,2,1))]. 9471 (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(5230(a,1),9470(a,1,1,2,1))]. 9472 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7545(a,1),9471(a,1,1,2,1)),flip(a)]. 9473 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(65,a,4686,a(flip),b,9472,a),flip(a)]. 9475 (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(9473(a,1),1258(a,2,1,2)),flip(a)]. 9476 (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(4811(a,1),9475(a,1,1))]. 9477 (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(9142(a,1),9476(a,1,1))]. 9478 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(302,a,9477,a),flip(a)]. 9481 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(65,a,6464,a(flip),b,9478,a)]. 9482 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(290,a,7231,a(flip),b,9481,a),flip(a)]. 9483 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(65,a,7040,a(flip),b,9482,a),flip(a)]. 9485 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(103(a,1),9483(a,1,2,2,1)),flip(a)]. 9486 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(65,a,9483,a,b,9485,a)]. 9487 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(7742,a,9486,a)]. 9489 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(4810(a,1),9420(a,2,1,2,1))]. 9490 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(8786(a,1),9489(a,2,1))]. 9491 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(5599(a,1),9490(a,1,2,2,2,1))]. 9492 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(65,a,9419,a(flip),b,9491,a)]. 9493 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(65,a,9153,a(flip),b,9492,a)]. 9494 ((1 / x) * (((x \ 1) \ 1) \ T(y,((x \ 1) \ 1) \ 1))) * ((x \ 1) \ 1) = (x \ (y * (1 / ((x \ 1) \ 1)))) * x. [para(2568(a,1),3089(a,1,1,1))]. 9495 ((1 / x) * (((x \ 1) \ 1) \ T(y,x \ 1))) * ((x \ 1) \ 1) = (x \ (y * (1 / ((x \ 1) \ 1)))) * x. [para(2636(a,1),9494(a,1,1,2,2))]. 9496 ((x \ 1) * (x \ T(y,x \ 1))) * ((x \ 1) \ 1) = (x \ (y * (1 / ((x \ 1) \ 1)))) * x. [para(5297(a,1),9495(a,1,1))]. 9497 (x \ (y * (1 / ((x \ 1) \ 1)))) * x = (x \ (y * (1 / x))) * ((x \ 1) \ 1). [para(2647(a,1),9496(a,1,1)),flip(a)]. 9498 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(4810(a,1),6854(a,1,1,1,2,1))]. 9499 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(6866(a,1),9498(a,1,1,1))]. 9500 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(9248(a,1),9499(a,1,1))]. 9501 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(8786(a,1),9500(a,1,1,2))]. 9502 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(4810(a,1),9501(a,1,3,1))]. 9503 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(8383,a,9502,a),flip(a)]. 9505 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4814(a,1),9503(a,1,2,1))]. 9506 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4814(a,1),9505(a,1,2,2,1))]. 9507 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(8788(a,1),9506(a,1,2))]. 9508 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9507(a,1),401(a,1,1))]. 9509 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(8371(a,1),8376(a,1,1,2,1,1)),flip(a)]. 9510 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),9509(a,2,1,2,1))]. 9512 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8371(a,1),9510(a,1,1)),flip(a)]. 9513 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(4656(a,1),9512(a,2,2))]. 9514 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(65,a,8772,a,b,9513,a)]. 9515 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(9513(a,1),9287(a,1,1))]. 9516 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(298,a,9514,a),flip(a)]. 9517 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(4834(a,1),9515(a,1,1,2))]. 9518 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(8385,a,9517,a),flip(a)]. 9519 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4223,a,9518,a)]. 9521 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(1749(a,1),8576(a,2,1,2))]. 9522 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(648(a,1),9521(a,1,1,2,2))]. 9523 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2156(a,1),9522(a,1,1,2))]. 9524 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(65,a,5085,a(flip),b,9523,a),flip(a)]. 9525 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),6203(a,1,1,1)),flip(a)]. 9526 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(290,a,7135,a(flip),b,9525,a),flip(a)]. 9528 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(4811(a,1),8824(a,1,1,1))]. 9529 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(9221(a,1),9528(a,1,1))]. 9530 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(5970,a,9529,a)]. 9532 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(65,a,9369,a(flip),b,9530,a)]. 9533 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(9357,a,9532,a),flip(a)]. 9534 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(290,a,9346,a(flip),b,9533,a),flip(a)]. 9535 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(4707(a,1),4967(a,1,1))]. 9536 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(4707(a,1),9535(a,1,2,1,1)),flip(a)]. 9537 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(4810(a,1),9536(a,2,2,1))]. 9538 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(6442(a,1),9537(a,2,2))]. 9539 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(4413(a,1),9538(a,1,1,1)),flip(a)]. 9540 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(6442(a,1),9539(a,2,1,2))]. 9541 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(12(a,1),2457(a,1,2,1))]. 9542 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(75(a,1),9541(a,1,2))]. 9544 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(313,a,9542,a)]. 9547 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2963(a,1),9544(a,1,1))]. 9548 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(65,a,6702,a(flip),b,9547,a),flip(a)]. 9549 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(290,a,4315,a(flip),b,9548,a),flip(a)]. 9550 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(290,a,6634,a(flip),b,9549,a),flip(a)]. 9551 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(9549(a,2),6703(a,1,1))]. 9552 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1200(a,1),9550(a,1,2))]. 9554 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(9552(a,1),4457(a,2,1)),flip(a)]. 9556 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(290,a,7429,a,b,9554,a),flip(a)]. 9557 (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(9554(a,2),7462(a,1))]. 9558 K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). [para(8736(a,1),9384(a,1,2)),flip(a)]. 9559 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7411(a,1),9066(a,1,1,3,1))]. 9560 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(6036(a,1),9071(a,1,2,1))]. 9561 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3290(a,1),9560(a,1,2,2)),flip(a)]. 9562 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7973(a,1),9561(a,2,2))]. 9563 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),9562(a,2,2,1))]. 9564 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(6564(a,1),9563(a,1,1,2))]. 9565 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8117(a,1),9564(a,1,1))]. 9566 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(6564(a,1),9565(a,1,2,1))]. 9568 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(5020(a,1),9566(a,1,2))]. 9569 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7361(a,1),9568(a,1,2))]. 9570 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6698(a,1),9569(a,1,2)),flip(a)]. 9572 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8179(a,1),9559(a,1,1,3))]. 9573 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7159(a,2),9572(a,1,1,3))]. 9575 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7411(a,1),9573(a,1,2,1,1))]. 9576 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8268(a,1),9575(a,1,2))]. 9577 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7411(a,1),9576(a,2,2,1))]. 9578 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(8179(a,1),9577(a,2,2))]. 9579 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7159(a,2),9578(a,2,2))]. 9581 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8377(a,1),9579(a,1,1))]. 9582 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(8267,a,9581,a),flip(a)]. 9583 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(65,a,4654,a(flip),b,9582,a)]. 9585 T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. [para(9583(a,1),7831(a,1))]. 9586 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6512(a,1),9383(a,1,1,1))]. 9587 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(9380(a,1),9586(a,1,1))]. 9588 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(9380(a,1),9587(a,1,2,1))]. 9589 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6512(a,1),9588(a,1,2,2,2))]. 9590 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(290,a,8613,a(flip),b,8727,a),flip(a)]. 9591 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(290,a,7415,a(flip),b,9590,a),flip(a)]. 9592 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3056(a,1),8706(a,1,1,1,2))]. 9593 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(290,a,9,a(flip),b,9223,a),flip(a)]. 9595 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(9221(a,1),9593(a,1,3))]. 9597 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(4061(a,1),9592(a,1,1,1))]. 9598 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(103(a,1),9597(a,1,1,1)),flip(a)]. 9600 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3056(a,1),9598(a,2,1,3,2))]. 9601 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),9600(a,2,1,3))]. 9603 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(6925(a,1),9601(a,2,1))]. 9604 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(78(a,1),9603(a,1,1,1,1,2))]. 9605 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3056(a,1),9604(a,1,1,2))]. 9606 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(65,a,6309,a(flip),b,9605,a)]. 9608 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),9606(a,1,1,1,1)),flip(a)]. 9609 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(6356(a,1),9608(a,2,1,1))]. 9610 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(290,a,7230,a(flip),b,9609,a),flip(a)]. 9611 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),9610(a,1,1,3))]. 9612 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7162(a,1),9611(a,2,1))]. 9613 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(65,a,6274,a(flip),b,9612,a)]. 9614 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(9613(a,1),6006(a,2,2))]. 9615 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(9613(a,1),8000(a,2,2))]. 9616 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(290,a,94,a(flip),b,9614,a),flip(a)]. 9617 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(290,a,7111,a(flip),b,9616,a),flip(a)]. 9618 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(5962,a,9617,a)]. 9619 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(290,a,94,a(flip),b,9615,a),flip(a)]. 9620 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(290,a,7111,a(flip),b,9619,a),flip(a)]. 9621 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6512(a,1),8605(a,1,1,1))]. 9622 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(645(a,1),9228(a,1,1))]. 9623 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(4463(a,1),9622(a,1,1,1,2))]. 9624 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(65,a,5413,a(flip),b,9623,a),flip(a)]. 9625 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2747(a,1),9624(a,1,1,2))]. 9626 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(954(a,1),9625(a,1,1,2,1,2))]. 9627 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1465(a,1),9626(a,1,1,2,1,2))]. 9628 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(215(a,1),9627(a,1,1,2))]. 9629 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(567,a,9628,a),flip(a)]. 9632 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(106(a,1),9629(a,2,1))]. 9633 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(65,a,5570,a(flip),b,9632,a)]. 9634 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(141,a,9633,a)]. 9635 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9(a,1),9634(a,1,2,1)),flip(a)]. 9636 R(x,y,K(x \ 1,z)) = x. [hyper(1759,a,9635,a)]. 9637 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9636(a,1),27(a,2,1))]. 9638 R(x \ 1,y,K(x,z)) = x \ 1. [para(3257(a,1),9636(a,1,3))]. 9639 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(9638(a,1),100(a,1,1)),flip(a)]. 9640 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(65,a,5542,a(flip),b,9637,a),flip(a)]. 9642 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(120,a,9640,a(flip),b,4471,a(flip)),flip(a)]. 9644 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(290,a,4412,a,b,9642,a),flip(a)]. 9645 K(x,y * K(z,x \ 1)) = K(x,y). [para(6723(a,1),9644(a,1,2)),flip(a)]. 9646 K(x,K(x \ 1,y) * z) = K(x,z). [para(7102(a,1),9644(a,1,2))]. 9647 K(x,y * K(z,x \ 1)) \ 1 = K(y,x). [para(9645(a,2),4810(a,1,1))]. 9648 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(5790(a,1),9645(a,1,2,2))]. 9649 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9138(a,1),9646(a,1,2))]. 9650 K(x * K(y,z \ 1),z) = K(x,z). [hyper(4831,a,9647,a)]. 9651 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5218(a,1),9650(a,1,1))]. 9652 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(5790(a,1),9650(a,1,1,2))]. 9653 K(K(x,y \ 1) * z,y) = K(z,y). [para(7167(a,1),9650(a,1,1))]. 9654 K(K(x,1 / y) * z,y) = K(z,y). [para(4775(a,2),9653(a,1,1,1))]. 9655 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(4875(a,1),9653(a,1,1,1))]. 9656 K(T(x,1 / y) / z,y) = K(x / z,y). [para(5471(a,1),9654(a,1,1))]. 9657 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2608(a,1),9656(a,2,1))]. 9658 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(5903(a,1),9648(a,1,2))]. 9659 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(7772(a,1),9649(a,1,2,2))]. 9660 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(5903(a,1),9652(a,1,1))]. 9661 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5275(a,1),9655(a,1,1)),flip(a)]. 9662 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(8547,a,9639,a)]. 9663 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(2360,a,9639,a(flip))]. 9665 K(x,L(y,z,x)) = K(x,y). [para(1846(a,1),9662(a,1,2))]. 9667 L(K(x,y),z,x) = K(x,y). [hyper(6088,a,9665,a)]. 9668 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),9665(a,1,2))]. 9669 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(273(a,1),9665(a,1,2))]. 9670 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(480(a,1),9665(a,1,2)),flip(a)]. 9671 T(x,L(y,z,x)) = K(x,y) * x. [para(9665(a,1),4491(a,2,1))]. 9672 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(5697(a,1),9665(a,1,2))]. 9673 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9665(a,1),6090(a,1,1)),flip(a)]. 9674 K(L(x,y,x),z) = K(x,z). [hyper(8360,a,9667,a)]. 9675 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(290,a,9,a,b,9667,a),flip(a)]. 9676 a(x,y,K(x,z)) = 1. [hyper(55,a,9667,a)]. 9677 (x * y) * K(x,z) = x * (y * K(x,z)). [para(9667(a,1),94(a,1,2))]. 9678 K(R(x,y,x),z) = K(x,z). [para(3840(a,1),9674(a,1,1)),flip(a)]. 9679 T(x,L(y,z,y)) = x / K(y,x). [para(9674(a,1),4419(a,2,2))]. 9680 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9674(a,1),4555(a,1,1))]. 9681 R(K(x,y),z,x) = K(x,y). [hyper(65,a,8556,a(flip),b,9678,a)]. 9682 x * K(R(x,y,x),z) = T(x,z). [para(9678(a,2),4471(a,2,2)),flip(a)]. 9683 K(x,R(y,z,y)) = 1 / K(y,x). [para(9678(a,1),4814(a,1,2)),flip(a)]. 9685 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(9678(a,1),4800(a,1,1))]. 9686 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9678(a,1),6277(a,1,1)),flip(a)]. 9687 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9678(a,1),9088(a,1,1,1,1))]. 9688 K(x,R(y,z,x)) = K(x,y). [hyper(8282,a,9681,a)]. 9689 R(K(x,y),z,x \ 1) = K(x,y). [hyper(6937,a,9681,a)]. 9690 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [hyper(65,a,8347,a(flip),b,9681,a)]. 9691 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(65,a,6466,a(flip),b,9681,a)]. 9692 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9681(a,1),5073(a,1,1)),flip(a)]. 9693 T(x,R(y,z,x)) = x * K(x,y). [para(9688(a,1),4471(a,2,2))]. 9695 T(x,L(y,z,x)) = T(x,y). [hyper(290,a,4491,a,b,9671,a),flip(a)]. 9696 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(273(a,1),9695(a,1,2))]. 9697 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(480(a,1),9695(a,1,2)),flip(a)]. 9698 T(x,L(y,z,y)) = T(x,y). [hyper(290,a,4419,a,b,9679,a),flip(a)]. 9699 T(x,L(y,z,y)) = x * K(x,y). [hyper(290,a,6727,a(flip),b,9679,a),flip(a)]. 9700 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(383,a,9698,a),flip(a)]. 9702 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(9698(a,1),104(a,1,2))]. 9704 T(x,R(y,z,y)) = T(x,y). [para(3840(a,1),9698(a,1,2)),flip(a)]. 9705 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(9698(a,1),7103(a,1,2,1))]. 9706 T(x / y,R(y,z,y)) = y \ x. [hyper(420,a,9704,a)]. 9707 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(383,a,9704,a),flip(a)]. 9708 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9704(a,1),104(a,1,2))]. 9709 T(x,(y * z) / y) = T(x,y / (y / z)). [para(3844(a,1),9704(a,1,2))]. 9710 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(120,a,9682,a(flip),b,6363,a),flip(a)]. 9711 K(x,R(y,z,y)) = K(x,y). [hyper(290,a,4814,a(flip),b,9683,a),flip(a)]. 9712 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9683(a,2),4818(a,1))]. 9713 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(9711(a,1),5187(a,1,2)),flip(a)]. 9714 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(8154(a,1),9711(a,1,2))]. 9715 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9689(a,1),100(a,1,1)),flip(a)]. 9716 T(x,R(y,z,x)) = T(x,y). [hyper(290,a,4471,a,b,9693,a),flip(a)]. 9721 T(x,(y * x) / z) = T(x,y / (z / x)). [para(527(a,1),9716(a,1,2))]. 9722 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(780(a,1),9716(a,1,2))]. 9725 K(x,L(y,z,y)) = K(x,y). [hyper(4543,a,9699,a)]. 9726 L(K(x,y),z,y) = K(x,y). [hyper(6088,a,9725,a)]. 9727 K(L(x,y,z),z) = K(x,z). [hyper(8360,a,9726,a)]. 9728 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6344,a,9726,a)]. 9730 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(65,a,6109,a(flip),b,9726,a),flip(a)]. 9731 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9726(a,1),94(a,1,2))]. 9734 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),9727(a,1,1))]. 9736 K(L(x,y,z \ 1),z) = K(x,z). [para(1846(a,2),9727(a,1,1))]. 9738 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5697(a,1),9727(a,1,1))]. 9739 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9727(a,1),7544(a,1,1,2)),flip(a)]. 9740 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(9706(a,1),104(a,1,2))]. 9741 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(7726,a,9736,a)]. 9742 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(484(a,1),9736(a,1,1))]. 9743 L(K(x,y),z,x) != u | K(x,y) = u. [para(9675(a,2),307(a,1))]. 9745 K(L(x,y,x),z) != u | K(x,z) = u. [para(6090(a,1),9743(a,1))]. 9746 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6061(a,1),9743(a,1))]. 9747 K(x,y) != z | K(R(x,u,x),y) = z. [para(3840(a,1),9745(a,1,1))]. 9748 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(783(a,1),9690(a,1,2,2))]. 9749 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(27(a,1),9714(a,1,2))]. 9750 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9714(a,1),8966(a,1,1))]. 9751 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(8156(a,1),9749(a,1,2,1))]. 9752 L(x \ 1,x,y) * ((x \ 1) \ (y * x)) = ((x \ 1) \ y) * K(x \ 1,y * x). [hyper(65,a,5505,a,b,9663,a)]. 9754 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(65,a,7844,a,b,9669,a)]. 9756 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(65,a,6822,a,b,9669,a)]. 9757 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(65,a,8003,a(flip),b,9669,a),flip(a)]. 9758 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(10(a,1),9669(a,1,2,1)),flip(a)]. 9759 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(247(a,1),9669(a,1,2,1)),flip(a)]. 9760 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9669(a,1),5986(a,2,2))]. 9761 R(x,y,K(x,z)) = x. [hyper(1759,a,9677,a)]. 9762 T(T(x,y),z) * T(y,x) = x * (y * K(x,z)). [hyper(65,a,7557,a,b,9677,a)]. 9763 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9677(a,1),5724(a,1,1))]. 9764 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(9761(a,1),31(a,1,1)),flip(a)]. 9765 x * (y * K(x,z)) != u | (x * y) * K(x,z) = u. [para(9761(a,1),267(a,1,1))]. 9766 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9761(a,1),499(a,1,1,1)),flip(a)]. 9767 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9761(a,1),500(a,1,1,1)),flip(a)]. 9769 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(9761(a,1),6277(a,1,1,1)),flip(a)]. 9770 R(x,y,T(x,z)) = R(x,y,x). [para(9761(a,1),6408(a,1,1)),flip(a)]. 9773 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(106(a,1),9770(a,1,3)),flip(a)]. 9774 R(x,y,(x \ z) \ z) = R(x,y,x). [para(105(a,1),9770(a,1,3))]. 9778 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(9764(a,1),389(a,1,1)),flip(a)]. 9779 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3268,a,9680,a)]. 9780 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(120,a,9680,a(flip),b,4740,a),flip(a)]. 9781 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9680(a,1),8635(a,1,2)),flip(a)]. 9782 L(x,y,K(x,z)) = x. [hyper(4287,a,9686,a)]. 9783 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(290,a,4728,a(flip),b,9686,a),flip(a)]. 9784 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(9686(a,1),387(a,1,1))]. 9785 (K(x,y) * (z * x)) * (x \ 1) != u | R(K(x,y) * z,x,x \ 1) = u. [para(9686(a,1),511(a,1,1))]. 9786 L(x,y,K(z,x)) = x. [hyper(65,a,4823,a,b,9782,a)]. 9788 (K(x,y) * z) / x = K(x,y) * (z / x). [para(9782(a,1),544(a,1,2))]. 9789 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9782(a,1),457(a,1,2,1))]. 9790 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9782(a,1),458(a,1,2,1))]. 9791 L(K(x,y),z,K(y,u)) = K(x,y). [para(9782(a,1),6074(a,1,2)),flip(a)]. 9792 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9786(a,1),30(a,1,1)),flip(a)]. 9793 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9786(a,1),94(a,1,2))]. 9795 L(K(x,y),z,K(u,y)) = K(x,y). [para(9786(a,1),6074(a,1,2)),flip(a)]. 9796 L(K(x,y),z,K(u,x)) = K(x,y). [para(9786(a,1),6087(a,1,1)),flip(a)]. 9798 K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). [hyper(6200,a,9791,a)]. 9799 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(8360,a,9795,a)]. 9800 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(9795(a,1),94(a,1,2))]. 9801 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(8229,a,9796,a)]. 9802 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(9796(a,1),94(a,1,2))]. 9804 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9799(a,1),4591(a,2,1,1))]. 9805 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),9801(a,1,2))]. 9806 K(x,L(y,z,K(x,u))) = K(x,y). [para(4823(a,1),9801(a,1,2))]. 9807 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(4846(a,1),9801(a,1,2))]. 9808 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9806(a,1),7411(a,1,2)),flip(a)]. 9809 L(x,y,T(x,z)) = L(x,y,x). [hyper(6382,a,9792,a)]. 9810 L(x,T(y,x),x) = L(x,y,x). [hyper(6321,a,9792,a)]. 9811 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [hyper(290,a,4946,a,b,9809,a),flip(a)]. 9813 L(x \ y,z,y / x) = L(x \ y,z,x \ y). [hyper(65,a,6600,a(flip),b,9809,a)]. 9814 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9809(a,1),25(a,2,1))]. 9816 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(65,a,6911,a,b,9810,a)]. 9817 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7912(a,1),9810(a,1,2)),flip(a)]. 9818 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(290,a,7286,a(flip),b,9691,a),flip(a)]. 9820 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(104(a,1),9696(a,1,2,1)),flip(a)]. 9821 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9696(a,1),7237(a,1,2))]. 9822 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(7048,a,9697,a)]. 9824 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9700(a,1),104(a,1,2)),flip(a)]. 9825 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(106(a,1),9702(a,1,2))]. 9826 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(9707(a,1),104(a,1,2)),flip(a)]. 9827 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(9707(a,1),7021(a,1,1,2)),flip(a)]. 9828 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),9708(a,1,1))]. 9830 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5433,a,9709,a),flip(a)]. 9831 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(290,a,7279,a(flip),b,9721,a),flip(a)]. 9832 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(65,a,7837,a,b,9728,a)]. 9833 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),9728(a,1,1,1)),flip(a)]. 9834 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(9728(a,1),7510(a,1,1))]. 9835 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9730(a,1),5184(a,1,1,1,2))]. 9836 R(x,y,K(z,x)) = x. [hyper(1759,a,9731,a)]. 9837 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9731(a,1),8239(a,2,2))]. 9838 R(x,y,K(z,T(x,u))) = x. [hyper(146,a,9836,a(flip))]. 9840 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9836(a,1),499(a,1,1,1)),flip(a)]. 9841 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9838(a,1),500(a,1,1,1)),flip(a)]. 9844 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6163,a,9754,a)]. 9845 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(65,a,6069,a,b,9754,a)]. 9846 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(221(a,1),9754(a,1,2)),flip(a)]. 9847 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(9779(a,1),5532(a,1,1)),flip(a)]. 9848 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6450(a,1),9779(a,2,1))]. 9849 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(229,a,9783,a,b,4437,a)]. 9851 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4438(a,2),9783(a,1,1))]. 9852 (K(x,y) * R(x,z,z)) / x = K(x,y) * a(x,z,z). [para(2199(a,1),9788(a,2,2))]. 9853 ((x * y) / x) / x = K(x,y) * (y / x). [para(4495(a,2),9788(a,1,1))]. 9854 K(x,y) * ((x * z) / x) = (T(x,y) * z) / x. [para(4492(a,1),9788(a,1,1)),flip(a)]. 9855 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(9793(a,1),4729(a,1,2,2))]. 9857 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(290,a,25,a,b,9814,a),flip(a)]. 9858 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(7353,a,9832,a(flip)),flip(a)]. 9859 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9832(a,1),5184(a,1,1,1,2))]. 9860 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9832(a,1),5879(a,1,2))]. 9861 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9832(a,2),7353(a,1))]. 9862 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(9833(a,1),7353(a,1))]. 9863 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(5690,a,9849,a),flip(a)]. 9864 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(290,a,5278,a(flip),b,9849,a),flip(a)]. 9865 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(10(a,1),9849(a,1,1)),flip(a)]. 9866 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(25(a,2),9849(a,2,2))]. 9868 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(290,a,9570,a,b,9863,a)]. 9869 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(758,a,9865,a),flip(a)]. 9870 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(9865(a,1),5673(a,1,2)),flip(a)]. 9871 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(5745,a,9869,a)]. 9872 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(290,a,5731,a,b,9869,a)]. 9873 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(9869(a,2),4735(a,1,2))]. 9874 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(9869(a,2),7006(a,1,2))]. 9876 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(290,a,7544,a(flip),b,9739,a),flip(a)]. 9877 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(480(a,1),9876(a,1,2,2)),flip(a)]. 9878 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(290,a,4591,a,b,9804,a),flip(a)]. 9879 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(96(a,1),9878(a,1,2))]. 9880 L(x,y,T(x,z)) != u | L(x,y,x) = u. [para(9811(a,2),4962(a,1))]. 9882 L(x \ y,z,y / x) != u | L(x \ y,z,x \ y) = u. [para(6600(a,1),9880(a,1))]. 9883 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(290,a,5921,a,b,9713,a)]. 9884 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(290,a,3438,a(flip),b,9713,a),flip(a)]. 9885 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5439(a,1),9713(a,2,2))]. 9886 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),9740(a,1,1))]. 9887 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9740(a,1),9102(a,2,2))]. 9889 T(T(x,y),z) * T(z,x) = x * (z * K(x,y)). [para(23(a,1),9762(a,1,1))]. 9890 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9763(a,1),5734(a,1,2))]. 9891 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7666(a,2),9773(a,1,1))]. 9892 L(x \ y,y / x,x \ y) = T(x \ y,(y / x) \ 1). [hyper(65,a,8151,a(flip),b,9813,a),flip(a)]. 9893 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(65,a,8511,a(flip),b,9817,a),flip(a)]. 9895 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(106(a,1),9893(a,1,2)),flip(a)]. 9896 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(7046,a,9820,a),flip(a)]. 9897 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(96(a,2),9896(a,1,2))]. 9898 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(8701,a,9824,a),flip(a)]. 9900 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(65,a,1317,a,b,9898,a)]. 9901 L(1 / x,y,x \ 1) \ 1 = x * a(x \ 1,y,x \ 1). [hyper(65,a,4333,a(flip),b,9898,a)]. 9902 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9898(a,1),4492(a,1,2))]. 9903 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(9898(a,1),9063(a,1,2))]. 9904 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9857(a,1),9898(a,1,2,1))]. 9905 L(x,y,x) * (z * a(x,y,x)) = x * z. [hyper(141,a,9900,a)]. 9906 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(36,a,1240,a,b,9903,a)]. 9907 (x * y) * a(x,z,x) = R(x,z,x) * y. [hyper(36,a,1235,a(flip),b,9903,a),flip(a)]. 9908 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(120,a,9903,a(flip),b,94,a)]. 9910 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(12(a,1),9905(a,1,2)),flip(a)]. 9911 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(65,a,9740,a(flip),b,9906,a)]. 9913 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(9907(a,1),307(a,1,2))]. 9914 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(36,a,1315,a,b,9910,a)]. 9915 (x * y) * a(y,z,y) = x * R(y,z,y). [para(11(a,1),9911(a,1,1)),flip(a)]. 9916 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(3754(a,1),9911(a,1,2))]. 9917 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(8398(a,2),9911(a,2,2))]. 9918 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(125,a,9915,a)]. 9919 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(121,a,12,a(flip),b,9915,a),flip(a)]. 9920 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(65,a,8496,a(flip),b,9919,a)]. 9921 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(121,a,11,a(flip),b,9920,a)]. 9922 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(8449(a,2),9921(a,1,2))]. 9923 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(607,a,9922,a)]. 9924 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(8449(a,1),9923(a,1,3))]. 9925 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(8398(a,2),9924(a,1,2))]. 9926 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(65,a,9428,a,b,9925,a)]. 9928 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(120,a,9914,a(flip),b,9825,a(flip))]. 9929 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(229,a,9851,a,b,1111,a)]. 9931 K(x,y) * (z * K(x,z)) = (T(x,y) * z) / x. [hyper(65,a,4612,a(flip),b,9854,a)]. 9932 T(x,y) * ((x * z) / x) = x * ((T(x,y) * z) / x). [para(9854(a,1),4437(a,1,2)),flip(a)]. 9933 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(4883(a,1),9872(a,1,1,1)),flip(a)]. 9934 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(65,a,9185,a,b,9874,a)]. 9935 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9884(a,2),6863(a,1,2))]. 9936 (1 / x) * T(1 / x,y) = T(x \ 1,y) / x. [hyper(37,a,6240,a,b,9917,a)]. 9938 (T(x \ 1,y) / x) * z = T(x \ 1,y) * (x \ z). [para(9936(a,1),6240(a,1,1))]. 9939 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(290,a,6090,a(flip),b,9673,a),flip(a)]. 9940 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9673(a,1),6083(a,1))]. 9941 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(65,a,9000,a(flip),b,9939,a),flip(a)]. 9942 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(7844(a,2),9746(a,1))]. 9943 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(290,a,9758,a(flip),b,9844,a),flip(a)]. 9944 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3572(a,1),9845(a,2,2,2,2))]. 9946 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [para(100(a,1),9908(a,1,1))]. 9947 L(a(x,y,x),z,x) = a(x,y,x). [hyper(9913,a,9908,a),flip(a)]. 9948 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(9908(a,1),9913(a,1))]. 9949 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(290,a,9918,a,b,9947,a),flip(a)]. 9950 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8233(a,1),9940(a,1))]. 9951 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6058(a,2),9942(a,1))]. 9952 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(290,a,155,a(flip),b,9949,a),flip(a)]. 9954 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9658(a,2),6225(a,2,2))]. 9955 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(5955(a,1),9659(a,1,2,2)),flip(a)]. 9956 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9660(a,2),6695(a,2,2))]. 9957 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(1495,a,9685,a)]. 9959 T(x,K(y,z)) \ R(x,u,x) = x \ R(T(x,K(y,z)),u,x). [hyper(120,a,9957,a(flip),b,7452,a),flip(a)]. 9960 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(120,a,9957,a(flip),b,4438,a)]. 9961 T(x,y) * (x \ R(x,z,x)) != u | R(T(x,y),z,x) = u. [para(9960(a,1),245(a,1,2)),flip(b)]. 9962 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(290,a,9781,a(flip),b,9710,a),flip(a)]. 9963 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(4287,a,9715,a)]. 9964 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9963(a,1),937(a,1,1)),flip(a)]. 9965 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(290,a,8002,a(flip),b,9722,a),flip(a)]. 9966 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(11(a,1),9756(a,1,1,1,1,2))]. 9967 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(65,a,4204,a(flip),b,9760,a),flip(a)]. 9968 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(65,a,4189,a(flip),b,9760,a),flip(a)]. 9969 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(8547,a,9766,a)]. 9970 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(4287,a,9766,a)]. 9971 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(25(a,1),9969(a,1,2))]. 9972 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [para(273(a,1),9969(a,1,2))]. 9973 (T(x,y) * z) * K(x,u) != w | T(x,y) * (z * K(x,u)) = w. [para(9970(a,1),271(a,1,2))]. 9974 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9769(a,1),7712(a,2,2))]. 9975 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(125,a,9778,a)]. 9977 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(65,a,7840,a(flip),b,9798,a)]. 9979 K(x \ T(y,z),y) = K(x \ y,y). [para(4491(a,2),9977(a,1,1,2))]. 9980 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4401(a,1),9977(a,1,1,2)),flip(a)]. 9981 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4402(a,1),9977(a,1,1,2)),flip(a)]. 9982 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(4837(a,1),9977(a,1,1,2)),flip(a)]. 9983 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4601(a,1),9977(a,1,1,2)),flip(a)]. 9984 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4726(a,1),9977(a,1,1,2)),flip(a)]. 9986 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7519(a,1),9977(a,1,1,2,1))]. 9987 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7511(a,1),9977(a,1,1,2))]. 9988 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(65,a,6335,a(flip),b,9979,a),flip(a)]. 9989 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(9981(a,1),9861(a,1))]. 9990 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5226(a,1),9982(a,1,1,2))]. 9991 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5355(a,1),9982(a,1,1,2))]. 9992 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6750(a,1),9987(a,1,1,2)),flip(a)]. 9994 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(4648(a,1),9988(a,1,1,1)),flip(a)]. 9995 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(217(a,1),9990(a,1,1)),flip(a)]. 9996 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6107(a,2),9989(a,1))]. 9997 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(7837(a,1),9989(a,1))]. 9998 K((x / (y \ 1)) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6048(a,2),9997(a,1))]. 9999 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9800(a,1),7482(a,1,2))]. 10000 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(65,a,8860,a,b,9802,a)]. 10001 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(65,a,7896,a(flip),b,9807,a),flip(a)]. 10003 K(x,y \ T(x,z)) = K(x,y \ x). [para(4491(a,2),10001(a,1,2,2))]. 10004 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4401(a,1),10001(a,1,2,2)),flip(a)]. 10005 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4554(a,1),10001(a,1,2,2)),flip(a)]. 10006 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4726(a,1),10001(a,1,2,2)),flip(a)]. 10008 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(10001(a,1),7109(a,2,1))]. 10009 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9093(a,1),10001(a,1,2,2)),flip(a)]. 10010 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(7350,a,10003,a)]. 10011 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(10003(a,1),7350(a,1))]. 10012 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(290,a,9670,a,b,10004,a)]. 10013 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(290,a,8705,a,b,10004,a)]. 10014 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(290,a,6664,a(flip),b,10010,a),flip(a)]. 10015 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(9(a,1),10012(a,1,2)),flip(a)]. 10016 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(10012(a,1),6061(a,1,1))]. 10017 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(10012(a,1),6905(a,1,1))]. 10018 K(x,y \ (z * x)) != u | K(x,(y / x) \ z) = u. [para(10012(a,1),7029(a,1))]. 10019 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(10012(a,1),7398(a,1,2,2))]. 10020 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(78(a,1),10013(a,1,2,1,1)),flip(a)]. 10021 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(10013(a,1),7582(a,1,1))]. 10023 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(10018,a,10020,a)]. 10024 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(78(a,1),10023(a,1,2,1)),flip(a)]. 10025 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(36,a,7775,a(flip),b,9834,a(flip))]. 10027 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(4287,a,9840,a)]. 10028 (T(x,y) * (z * K(u,x))) * u = (T(x,y) * z) * T(u,x). [para(9840(a,1),5724(a,1,1))]. 10029 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6344,a,10027,a)]. 10030 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(9847(a,1),4760(a,1,2))]. 10031 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(59,a,9860,a)]. 10032 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(9(a,1),9860(a,2,2,1,2))]. 10033 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(9860(a,1),6742(a,1,1))]. 10034 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(65,a,7904,a(flip),b,9879,a)]. 10036 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4394(a,1),10034(a,1,2,2))]. 10037 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4401(a,1),10034(a,1,2,2))]. 10038 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5052(a,1),10034(a,1,2,2))]. 10039 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(10036(a,1),4421(a,1,1,1)),flip(a)]. 10040 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(10036(a,1),8113(a,1,2)),flip(a)]. 10041 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(290,a,9822,a,b,10037,a)]. 10042 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(290,a,9697,a,b,10037,a)]. 10043 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(10041(a,1),4421(a,1,1,1))]. 10044 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(10042(a,2),8113(a,1,2))]. 10045 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(65,a,9821,a(flip),b,10040,a),flip(a)]. 10046 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(10044(a,2),7655(a,1))]. 10047 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(290,a,5559,a,b,10045,a),flip(a)]. 10048 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(65,a,5559,a,b,10047,a)]. 10049 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(9(a,1),10048(a,1,2,2)),flip(a)]. 10050 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9(a,1),9929(a,1,1,2)),flip(a)]. 10051 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9962(a,1),8333(a,1,1,2,1))]. 10052 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(36,a,6435,a(flip),b,9968,a),flip(a)]. 10053 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(10052(a,1),6732(a,1,1,2)),flip(a)]. 10054 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(290,a,10006,a(flip),b,9972,a),flip(a)]. 10056 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(65,a,9429,a,b,9975,a)]. 10057 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(9983(a,1),5190(a,1,1,1,2))]. 10058 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(7733,a,9986,a),flip(a)]. 10059 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4401(a,1),9986(a,1,1,2)),flip(a)]. 10060 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7638,a,10058,a),flip(a)]. 10061 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(10060(a,1),6732(a,1,1,2)),flip(a)]. 10062 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(453(a,1),9992(a,2,1))]. 10063 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(65,a,7701,a(flip),b,10005,a),flip(a)]. 10064 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(290,a,7109,a,b,10008,a),flip(a)]. 10065 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(453(a,1),10009(a,1,2))]. 10066 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(4401(a,1),10009(a,1,2,2,2))]. 10067 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4554(a,1),10009(a,1,2,2,2)),flip(a)]. 10068 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(290,a,9984,a(flip),b,10029,a),flip(a)]. 10070 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(10068(a,1),7415(a,2,2))]. 10071 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(10038(a,1),4421(a,1,1,1))]. 10072 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1638(a,1),10050(a,1,2)),flip(a)]. 10073 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1676(a,1),10050(a,1,2)),flip(a)]. 10075 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(141,a,10056,a)]. 10076 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(65,a,7256,a,b,10059,a)]. 10077 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(290,a,6732,a(flip),b,10061,a),flip(a)]. 10078 K(x,(y * x) / z) = K(x,(x * y) / z). [para(4401(a,1),10077(a,1,2,1)),flip(a)]. 10079 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(7555(a,1),10077(a,1,2,1)),flip(a)]. 10080 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(65,a,9818,a(flip),b,10078,a),flip(a)]. 10081 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(10078(a,2),6493(a,1))]. 10082 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(10079(a,2),8038(a,2,2)),flip(a)]. 10083 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(6493,a,10080,a),flip(a)]. 10084 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(65,a,7587,a,b,10080,a)]. 10085 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(10(a,1),10080(a,1,2,1)),flip(a)]. 10086 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(59,a,10083,a)]. 10087 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),10083(a,1,2,2)),flip(a)]. 10088 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10083(a,1),6465(a,1,1))]. 10089 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(7320,a,10085,a)]. 10091 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(11(a,1),10089(a,1,2,2))]. 10093 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(10084(a,2),7120(a,1,1))]. 10094 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(10081,a,7945,a(flip)),flip(a)]. 10095 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7945(a,2),10081(a,1))]. 10096 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(8553,a,10094,a)]. 10097 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),10096(a,1,2,1,1)),flip(a)]. 10098 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3679(a,1),10097(a,1,2,1)),flip(a)]. 10099 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(3739(a,2),10097(a,1,2,1)),flip(a)]. 10100 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4491(a,2),10064(a,1,2,1,2))]. 10101 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7197(a,1),10064(a,1,2,1,2))]. 10102 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(65,a,7377,a(flip),b,10067,a),flip(a)]. 10103 (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(10075(a,1),9404(a,1,1))]. 10104 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(290,a,7776,a(flip),b,10076,a),flip(a)]. 10105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(9(a,1),10104(a,1,1,1)),flip(a)]. 10106 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(65,a,4970,a(flip),b,10105,a)]. 10107 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7031,a,10106,a)]. 10108 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5062,a,10086,a)]. 10109 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(65,a,9831,a,b,10108,a)]. 10110 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(290,a,4586,a(flip),b,9846,a),flip(a)]. 10112 L(x \ y,y / x,x \ y) != z | T(x \ y,y \ x) = z. [para(9892(a,2),7095(a,1))]. 10113 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(290,a,9668,a(flip),b,9941,a),flip(a)]. 10116 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),10113(a,2,2,2))]. 10117 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(65,a,6352,a(flip),b,10116,a),flip(a)]. 10118 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(3748(a,1),10116(a,1,1,2))]. 10119 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(65,a,6153,a(flip),b,10117,a)]. 10121 K(x,a(K(y,z),u,u \ 1)) = 1. [para(9519(a,1),10119(a,1,2))]. 10122 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(58,a,10121,a)]. 10123 T(x,a(K(y,z),u \ 1,u)) = x. [para(2195(a,1),10122(a,1,2))]. 10124 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(56,a,10123,a)]. 10125 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(290,a,2188,a,b,10124,a),flip(a)]. 10126 R(x,y,x) * K(x,z) != u | R(T(x,z),y,x) = u. [para(4738(a,1),9961(a,1))]. 10127 T(x,y) * K(x * y,T(x,z)) != u | R(T(x,K(y,z)),y,x) = u. [para(7989(a,2),10126(a,1))]. 10128 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(9998,a,6168,a),flip(a)]. 10129 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(65,a,5244,a(flip),b,10128,a),flip(a)]. 10130 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(10021,a,8646,a(flip)),flip(a)]. 10131 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(290,a,9451,a(flip),b,10130,a),flip(a)]. 10132 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8552(a,2),10095(a,1))]. 10133 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(65,a,6913,a(flip),b,9672,a)]. 10135 K(x,K(y \ x,y) * z) = K(x,z). [para(9(a,1),10133(a,1,2)),flip(a)]. 10136 K(x * y,K(y,x) * z) = K(x * y,z). [para(9(a,1),10135(a,1,2,1,1))]. 10137 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5284(a,1),10135(a,1,2)),flip(a)]. 10138 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10136(a,1),4435(a,1,1,2))]. 10139 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6532(a,1),9687(a,1,1))]. 10141 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9781(a,1),10139(a,1,1))]. 10143 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(65,a,6231,a(flip),b,9738,a)]. 10144 K(K(x \ y,x) * z,y) = K(z,y). [hyper(6099,a,10143,a),flip(a)]. 10147 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(10144(a,1),4471(a,2,2)),flip(a)]. 10148 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4287,a,9767,a)]. 10149 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9767(a,1),6742(a,1,1))]. 10150 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(9940,a,10148,a)]. 10151 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(65,a,8530,a(flip),b,10150,a),flip(a)]. 10153 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(65,a,8171,a(flip),b,10151,a)]. 10155 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(65,a,8177,a(flip),b,10153,a)]. 10156 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(12(a,1),10153(a,1,2,2,2)),flip(a)]. 10157 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(10(a,1),10155(a,1,2,2,2)),flip(a)]. 10158 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(10157(a,1),7640(a,1))]. 10160 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(1759,a,9789,a)]. 10161 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4401(a,1),9789(a,1,1)),flip(a)]. 10162 (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(9789(a,1),4732(a,1,1,2))]. 10163 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(65,a,8557,a(flip),b,10160,a)]. 10164 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(65,a,6466,a(flip),b,10160,a)]. 10165 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(8520,a,10163,a),flip(a)]. 10166 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(10163(a,1),5919(a,1,1,1)),flip(a)]. 10167 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(10163(a,1),8964(a,1,1))]. 10168 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),10165(a,1,2,2)),flip(a)]. 10169 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(65,a,7962,a(flip),b,10168,a)]. 10171 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),10169(a,1,2,2)),flip(a)]. 10173 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(7743,a,10171,a),flip(a)]. 10174 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(290,a,7398,a,b,10171,a),flip(a)]. 10177 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7655,a,10174,a)]. 10178 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(10174(a,2),7652(a,1))]. 10179 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(10(a,1),10177(a,1,2,2)),flip(a)]. 10180 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(100(a,1),10177(a,1,2,2))]. 10181 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8072,a,10179,a)]. 10182 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(81(a,1),10181(a,1,2,2)),flip(a)]. 10183 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8082,a,10182,a),flip(a)]. 10184 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(10183(a,1),8142(a,1,2))]. 10185 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7413,a,10180,a)]. 10186 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(10180(a,1),7447(a,1,1))]. 10187 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(492(a,1),10178(a,1,2,2,1))]. 10189 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(1759,a,9790,a)]. 10190 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(65,a,8557,a(flip),b,10189,a)]. 10191 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7642,a,10190,a),flip(a)]. 10192 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7639,a,10191,a),flip(a)]. 10194 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10192(a,1),4591(a,2,1,1))]. 10195 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(290,a,4591,a,b,10194,a),flip(a)]. 10196 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(9045(a,1),10195(a,1,2,3))]. 10197 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(65,a,7336,a(flip),b,9827,a),flip(a)]. 10198 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(290,a,7310,a(flip),b,10197,a),flip(a)]. 10199 K(R(x,y,x) * z,x) = K(x * z,x). [para(9(a,1),10198(a,1,1,2)),flip(a)]. 10200 K(x * R(y,z,y),y) = K(y * x,y). [hyper(65,a,7041,a(flip),b,10199,a)]. 10201 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(10200(a,1),4594(a,2,2,2))]. 10202 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(290,a,4594,a,b,10201,a),flip(a)]. 10203 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(290,a,4471,a(flip),b,10202,a),flip(a)]. 10204 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4543,a,10203,a)]. 10205 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(65,a,7037,a,b,10204,a)]. 10206 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9747,a,10205,a)]. 10207 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(10206(a,1),5675(a,1,1)),flip(a)]. 10208 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(10206(a,1),5699(a,1,1)),flip(a)]. 10209 T(K(x,x \ 1) * y,x \ 1) = (1 / x) \ (y * (x \ 1)). [para(2561(a,1),9864(a,1,1,1))]. 10210 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(290,a,8835,a(flip),b,9866,a),flip(a)]. 10211 T(K(x,y) * L(y,z,u),x) = y * T(y \ L(y,z,u),x). [hyper(290,a,6373,a(flip),b,9866,a),flip(a)]. 10212 L(1 / x,y,x \ 1) \ 1 = x * a(x \ 1,y,x). [para(2194(a,1),9901(a,2,2))]. 10213 L(1 / x,y,x \ 1) \ 1 = x * a(x,y,x). [para(2169(a,1),10212(a,2,2))]. 10214 L(1 / x,y,x \ 1) \ 1 = R(x,y,x). [hyper(290,a,8401,a(flip),b,10213,a),flip(a)]. 10215 L(1 / x,y,x) \ 1 = R(x,y,x). [para(1846(a,1),10214(a,1,1))]. 10216 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(290,a,8849,a(flip),b,9902,a),flip(a)]. 10217 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(8445,a,10216,a),flip(a)]. 10218 a(x,y,x) * z = z * a(x,y,x). [hyper(8442,a,10216,a)]. 10219 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(8698(a,1),10216(a,1,2)),flip(a)]. 10220 x / a(y,z,y) = a(y,z,y) \ x. [hyper(136,a,10217,a)]. 10221 T(a(x,y,x),z) = a(x,y,x). [hyper(36,a,3572,a,b,10217,a)]. 10222 T(x,a(y,z,y)) = x. [hyper(40,a,2063,a(flip),b,10217,a(flip))]. 10223 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(10217(a,1),297(a,1,1)),flip(b)]. 10224 K(x,a(y,z,y)) = 1. [hyper(57,a,10222,a)]. 10227 T(x,y \ R(y,z,y)) = x. [para(8396(a,1),10222(a,1,2))]. 10228 K(x,L(a(y,z,y),u,w)) = 1. [hyper(65,a,10116,a(flip),b,10224,a)]. 10229 (x * (y \ R(y,z,y))) / x = y \ R(y,z,y). [hyper(3818,a,10227,a)]. 10232 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(290,a,8398,a,b,10221,a),flip(a)]. 10233 L(a(x,y,x),z,u) * w = w * L(a(x,y,x),z,u). [para(10221(a,1),226(a,1,2,1)),flip(a)]. 10234 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10221(a,1),227(a,1,2,1)),flip(a)]. 10237 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * (1 * x)) * y. [para(10228(a,1),5103(a,1,1,2,1)),flip(a)]. 10238 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(290,a,9915,a(flip),b,10218,a),flip(a)]. 10239 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(290,a,8633,a(flip),b,10218,a),flip(a)]. 10240 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(121,a,9915,a(flip),b,10218,a)]. 10242 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(120,a,10218,a,b,632,a)]. 10243 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(63,a,10218,a)]. 10244 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10218(a,2),45(a,1))]. 10245 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(10218(a,1),94(a,1,1))]. 10246 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(10218(a,1),273(a,2,1))]. 10247 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10218(a,1),633(a,1,2,1))]. 10248 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(10218(a,1),802(a,1,1))]. 10249 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(8398(a,2),10218(a,2,2)),flip(a)]. 10250 R(x,y,a(z,u,z) \ w) = R(x,y,w * a(z,u,z)). [para(10218(a,1),8460(a,2,3))]. 10251 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(10218(a,2),9903(a,1,2))]. 10254 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10220(a,1),9928(a,1,2))]. 10255 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(6928(a,1),10232(a,2,2))]. 10257 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(121,a,10238,a(flip),b,153,a(flip))]. 10259 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10240(a,1),241(a,1,1)),flip(b)]. 10261 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [hyper(9961,a,10249,a),flip(a)]. 10262 (x * (y \ R(y,z,y))) / (K(y,z) * x) = K(y * z,y). [hyper(121,a,10249,a,b,8414,a)]. 10264 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(120,a,10,a(flip),b,10251,a),flip(a)]. 10266 (x / y) * L(y,z,y) = a(y,z,y) \ x. [hyper(141,a,10254,a)]. 10267 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7666(a,1),10261(a,1,2)),flip(a)]. 10268 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(10266(a,1),307(a,1,2))]. 10270 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(9920(a,2),10223(a,1))]. 10272 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6850(a,1),10229(a,1,1))]. 10273 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(121,a,10272,a(flip),b,6594,a(flip))]. 10275 T(x,R(a(y,z,y),u,w)) = x. [hyper(232,a,10234,a)]. 10276 T(K(x * y,x),K(x,y) * z) != u | (K(x,y) * z) \ (z * (x \ R(x,y,x))) = u. [para(10262(a,1),383(a,1,1))]. 10277 ((K(x,y) * z) \ (z * (x \ R(x,y,x)))) / ((z * (x \ R(x,y,x))) / K(x * y,x)) = ((z * (x \ R(x,y,x))) / (K(x,y) * z)) / (K(x,y) * z). [para(10262(a,1),6017(a,1,2,2))]. 10278 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(6851,a,10273,a)]. 10279 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(8398(a,1),10278(a,1,3))]. 10280 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10279(a,1),389(a,1,1)),flip(a)]. 10281 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10280(a,1),8422(a,1,1))]. 10282 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10281(a,1),2243(a,1,1)),flip(a)]. 10283 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(65,a,8569,a(flip),b,9934,a)]. 10284 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10283(a,1),5404(a,1,1,1,2))]. 10285 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(9(a,1),9966(a,1,1,1,1)),flip(a)]. 10286 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7638,a,10024,a)]. 10287 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(65,a,10063,a(flip),b,10286,a)]. 10288 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(81(a,1),10287(a,2,2))]. 10289 T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). [para(7796(a,1),10028(a,1,1))]. 10290 T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). [hyper(65,a,7980,a,b,10289,a)]. 10291 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(290,a,9898,a(flip),b,10030,a),flip(a)]. 10292 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(10291(a,2),45(a,1))]. 10293 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10291(a,1),4442(a,1,2))]. 10294 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(290,a,6732,a(flip),b,10053,a),flip(a)]. 10295 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(10(a,1),10294(a,1,1,1)),flip(a)]. 10296 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(65,a,5801,a,b,10295,a)]. 10297 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(290,a,7415,a(flip),b,10070,a),flip(a)]. 10298 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(290,a,8038,a(flip),b,10082,a),flip(a)]. 10299 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7(a,1),10298(a,1,2,2,1))]. 10300 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(10299(a,1),7424(a,1,2))]. 10301 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(290,a,7162,a,b,10101,a),flip(a)]. 10302 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(290,a,10100,a(flip),b,10101,a),flip(a)]. 10304 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10138(a,1),5725(a,1,2)),flip(a)]. 10306 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5803,a,10147,a),flip(a)]. 10307 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4578(a,1),10306(a,2,1))]. 10308 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1662(a,2),10161(a,1,2))]. 10309 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(290,a,7643,a(flip),b,10164,a),flip(a)]. 10310 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7718,a,10186,a),flip(a)]. 10311 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(10(a,1),10310(a,1,2,2,1)),flip(a)]. 10312 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(10187,a,10311,a),flip(a)]. 10313 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),10312(a,1,2,2)),flip(a)]. 10314 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(10312(a,1),8692(a,1,1,1))]. 10315 (1 / x) \ (y * (x \ 1)) = (x \ 1) \ (y * (1 / x)). [hyper(65,a,2588,a(flip),b,10209,a),flip(a)]. 10316 x \ ((x * x) * (y * (x \ 1))) = (x \ 1) \ (y * (1 / x)). [hyper(992,a,10315,a)]. 10317 T(K(x,y) * L(y,z,u),x) / (y * (y \ L(y,z,u))) = K(y \ L(y,z,u),T(x,y)). [hyper(121,a,10211,a,b,7967,a)]. 10318 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9911(a,2),10293(a,1,2))]. 10319 x \ T(y * x,x \ (x \ 1)) = (x \ 1) \ (y * (1 / x)). [para(1193(a,2),10316(a,1,2))]. 10320 (x \ 1) \ (a(x,y,y) * (1 / x)) = x \ T(R(x,y,y),x \ (x \ 1)). [para(2202(a,1),10319(a,1,2,1)),flip(a)]. 10321 x \ ((x \ 1) \ (y * (1 / x))) = T(T(y,x) / x,x \ 1). [para(10319(a,1),2376(a,1,2))]. 10322 ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1) = T(T(y,x) / x,x \ 1). [hyper(65,a,2745,a,b,10321,a)]. 10323 (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(4193(a,2),9837(a,2,2))]. 10324 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9995(a,1),7385(a,1,1)),flip(a)]. 10325 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(10033,a,6908,a),flip(a)]. 10326 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(6908(a,1),10033(a,1))]. 10327 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),10325(a,1,2,1,2)),flip(a)]. 10328 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(10325(a,1),6732(a,1,1,2))]. 10329 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(65,a,7893,a(flip),b,10327,a)]. 10330 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(8(a,1),10329(a,2,2,1))]. 10331 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(65,a,6109,a(flip),b,10296,a)]. 10332 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1317(a,1),10331(a,1,1))]. 10334 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(65,a,10331,a(flip),b,9742,a)]. 10335 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(290,a,9651,a(flip),b,10334,a),flip(a)]. 10336 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7353,a,10335,a)]. 10337 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(65,a,7891,a(flip),b,10336,a)]. 10338 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(290,a,9858,a(flip),b,10337,a),flip(a)]. 10339 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10338(a,1),5178(a,1,2,1,2))]. 10340 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(7965,a,9748,a)]. 10341 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7634,a,10340,a),flip(a)]. 10342 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(10292,a,9904,a),flip(a)]. 10343 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10342(a,1),8699(a,1,1,2))]. 10344 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10342(a,1),8429(a,1,1)),flip(a)]. 10348 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(9955(a,1),9147(a,1,1))]. 10349 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(65,a,8717,a,b,9991,a)]. 10350 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(9999(a,1),9414(a,2,2))]. 10351 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4337(a,1),10031(a,2,1)),flip(a)]. 10352 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(4840(a,2),10125(a,1,1))]. 10353 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(65,a,9526,a,b,10173,a)]. 10354 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(65,a,9757,a(flip),b,10285,a),flip(a)]. 10355 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(65,a,7407,a(flip),b,10300,a),flip(a)]. 10356 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7109(a,2),10355(a,2,1))]. 10357 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8092(a,1),10356(a,2,1))]. 10358 T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. [para(10357(a,2),48(a,1))]. 10359 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(10357(a,2),6735(a,1,1))]. 10360 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4578(a,1),10307(a,1,1,1))]. 10361 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5690,a,10360,a),flip(a)]. 10362 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(10361(a,2),461(a,2,2))]. 10363 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6742,a,10328,a),flip(a)]. 10364 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(10328(a,1),6742(a,1))]. 10365 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(65,a,7839,a(flip),b,10363,a)]. 10366 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(10363(a,1),5184(a,1,1,1,2))]. 10367 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(80(a,1),10365(a,1,1,1)),flip(a)]. 10368 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10365(a,1),4594(a,2,2,2)),flip(a)]. 10369 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(290,a,5791,a(flip),b,10367,a),flip(a)]. 10370 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(7839(a,1),10364(a,1))]. 10371 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9915(a,1),10343(a,1,1))]. 10373 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(290,a,9857,a(flip),b,10371,a),flip(a)]. 10375 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4596,a,10368,a),flip(a)]. 10376 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(65,a,7902,a,b,10375,a)]. 10377 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9890(a,1),733(a,1))]. 10378 a(x,y,T(x,z)) = a(x,y,x). [hyper(10377,a,8519,a)]. 10379 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(10377,a,8518,a)]. 10380 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10378(a,1),6860(a,1))]. 10381 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10379(a,2),8409(a,1))]. 10383 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(65,a,10076,a(flip),b,9994,a)]. 10384 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(290,a,7893,a,b,10016,a),flip(a)]. 10385 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(10046,a,10019,a(flip)),flip(a)]. 10386 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(290,a,7411,a,b,10385,a),flip(a)]. 10387 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1236(a,1),10385(a,1,2,2))]. 10388 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7413,a,10386,a)]. 10389 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(65,a,10341,a,b,10388,a)]. 10390 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10388(a,1),8043(a,1,2)),flip(a)]. 10391 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(65,a,7713,a(flip),b,10389,a)]. 10392 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8072,a,10391,a)]. 10393 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(10391(a,1),7398(a,1,2))]. 10394 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(65,a,10297,a,b,10392,a)]. 10395 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7451,a,10394,a)]. 10396 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(9188(a,1),10395(a,1,2,2))]. 10397 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7652,a,10393,a),flip(a)]. 10399 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(65,a,9877,a(flip),b,10397,a)]. 10400 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(10(a,1),10399(a,1,2,2,2)),flip(a)]. 10401 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10387(a,2),8072(a,1))]. 10402 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(290,a,7393,a(flip),b,10390,a),flip(a)]. 10403 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8085,a,10402,a)]. 10404 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),10403(a,1,2,2)),flip(a)]. 10405 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(10404(a,1),4472(a,1,2,1))]. 10406 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10221(a,1),10247(a,2,1))]. 10408 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8407(a,2),10406(a,1,2,1))]. 10409 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(9907(a,1),10406(a,1,2,1))]. 10410 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(65,a,8861,a,b,10408,a)]. 10411 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4435(a,1),10410(a,1,1,2)),flip(a)]. 10412 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4471(a,2),10284(a,1,1,1))]. 10413 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5322,a,10412,a)]. 10414 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10413(a,1),8996(a,1,1))]. 10416 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7343,a,10348,a)]. 10420 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(290,a,3257,a,b,10384,a),flip(a)]. 10421 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(7639,a,10416,a),flip(a)]. 10423 K(x,y) * ((z * x) * (x \ 1)) = R(K(x,y) * z,x,x \ 1). [hyper(9785,a,9715,a),flip(a)]. 10424 R(K(x,y) * z,x,x \ 1) = K(x,y) * R(z,x,x). [para(787(a,1),10423(a,1,2)),flip(a)]. 10425 R(K(x,y) * z,x,x) = K(x,y) * R(z,x,x). [hyper(6931,a,10424,a)]. 10426 R(x,y,y) * ((T(z,K(y,u)) * K(y,u)) / z) = T(R(K(y,u) * x,y,y),K(y,u)). [para(10425(a,2),7688(a,2,1))]. 10427 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(5949(a,1),9830(a,1,1))]. 10428 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(4287,a,9841,a)]. 10429 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(8778,a,10428,a)]. 10430 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(448(a,1),10428(a,1,3))]. 10431 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(65,a,6109,a(flip),b,10430,a),flip(a)]. 10433 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(10(a,1),10429(a,1,2,2)),flip(a)]. 10434 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7324(a,1),10429(a,1,2))]. 10435 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),10434(a,1,2,2,2))]. 10436 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7298(a,1),10434(a,1,2))]. 10437 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(7961,a,10436,a),flip(a)]. 10439 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(65,a,7697,a,b,10437,a)]. 10440 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7961,a,10435,a),flip(a)]. 10441 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),10440(a,1,2,2)),flip(a)]. 10442 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(65,a,7978,a(flip),b,10441,a)]. 10443 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(65,a,10098,a(flip),b,10442,a)]. 10444 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(65,a,10087,a(flip),b,10443,a),flip(a)]. 10445 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(65,a,10344,a(flip),b,10439,a)]. 10446 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7203,a,10445,a)]. 10449 a(x,y,x) != z * K(x,T(y,u)) | K(x * y,T(x,u)) = z. [para(10446(a,1),46(a,1))]. 10450 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(8846(a,1),10446(a,1,1))]. 10451 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9751(a,1),10446(a,1,1))]. 10452 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(10187,a,10444,a),flip(a)]. 10453 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(65,a,8214,a(flip),b,10452,a)]. 10454 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(23(a,1),10449(a,2,2,2))]. 10455 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4889(a,1),9887(a,1,2)),flip(a)]. 10456 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(65,a,10318,a(flip),b,10455,a),flip(a)]. 10457 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10456(a,1),9685(a,1,2))]. 10458 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(65,a,8552,a(flip),b,10014,a)]. 10459 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(290,a,3635,a(flip),b,10072,a),flip(a)]. 10460 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),10459(a,1,1,2,1)),flip(a)]. 10461 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(290,a,3636,a(flip),b,10073,a),flip(a)]. 10462 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(5058,a,10167,a(flip))]. 10463 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(8908(a,1),10167(a,1,2)),flip(a)]. 10464 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(10462(a,1),9692(a,1,1,2)),flip(a)]. 10465 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4890,a,10463,a)]. 10466 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(4886,a,10463,a)]. 10467 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(65,a,1094,a(flip),b,10465,a)]. 10468 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(10267(a,2),46(a,1))]. 10473 (x \ 1) \ (a(x,y,y) * (1 / x)) = x \ R(T(x,x \ (x \ 1)),y,y). [para(27(a,2),10320(a,2,2))]. 10474 (x \ ((x \ 1) \ y)) * (x \ 1) = T(T(y,x) / x,x \ 1). [para(78(a,1),10322(a,1,1,1))]. 10475 T(T(T(x,y) / y,y \ 1),(y \ 1) \ ((y \ 1) \ 1)) = (((y \ 1) \ 1) \ (((y \ 1) \ 1) \ x)) * ((y \ 1) \ 1). [para(10474(a,1),1225(a,1,1))]. 10476 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4374,a,10351,a),flip(a)]. 10477 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(10129(a,1),10476(a,1,1,2))]. 10478 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(67(a,1),10458(a,1,2,1))]. 10479 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(290,a,10020,a(flip),b,10478,a)]. 10480 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(65,a,8552,a(flip),b,10479,a)]. 10481 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(67(a,1),10480(a,1,2,1)),flip(a)]. 10482 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(65,a,8874,a(flip),b,10467,a),flip(a)]. 10483 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(7016(a,1),9855(a,1,1))]. 10484 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(6996(a,1),10483(a,1,2)),flip(a)]. 10486 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(290,a,4729,a(flip),b,10484,a),flip(a)]. 10488 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(4889(a,1),10486(a,1,2))]. 10489 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(65,a,9895,a,b,10488,a)]. 10491 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(65,a,9816,a,b,10489,a)]. 10493 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10491(a,1),6785(a,1,1)),flip(a)]. 10494 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7167(a,1),10493(a,1,2,2))]. 10496 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(290,a,25,a,b,10494,a),flip(a)]. 10497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(1713(a,2),10496(a,1,2,2))]. 10498 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4746(a,1),10496(a,1,2))]. 10499 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(10497(a,1),29(a,1,1)),flip(a)]. 10500 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(7851(a,2),10498(a,1,2))]. 10501 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(290,a,29,a(flip),b,10499,a),flip(a)]. 10502 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(638(a,1),9952(a,2,2))]. 10503 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(290,a,4421,a(flip),b,10039,a),flip(a)]. 10504 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(9(a,1),10503(a,1,1,2,1))]. 10505 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4688,a,10043,a),flip(a)]. 10507 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(10093,a,7794,a)]. 10508 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10507(a,1),4471(a,2,2)),flip(a)]. 10509 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10508(a,1),4475(a,1))]. 10510 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7509(a,1),10314(a,1,1)),flip(a)]. 10511 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(139,a,10510,a)]. 10513 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(9(a,1),10511(a,1,1,1,1))]. 10514 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(290,a,7412,a(flip),b,10324,a),flip(a)]. 10515 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5233,a,10339,a),flip(a)]. 10516 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(1851(a,1),10515(a,1,1,1))]. 10517 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(6126,a,10516,a)]. 10518 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(290,a,10431,a(flip),b,10517,a),flip(a)]. 10519 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(65,a,9741,a(flip),b,10518,a),flip(a)]. 10520 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7641,a,10519,a),flip(a)]. 10521 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(290,a,6483,a(flip),b,10520,a),flip(a)]. 10522 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(9(a,1),10521(a,1,1,1)),flip(a)]. 10523 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(11(a,1),10522(a,1,1,1)),flip(a)]. 10524 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4950,a,10523,a)]. 10525 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8718,a,10524,a)]. 10526 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(1741(a,2),10525(a,1,1,2))]. 10527 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(65,a,8716,a(flip),b,10526,a)]. 10529 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(65,a,10349,a(flip),b,10527,a)]. 10531 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7451,a,10514,a)]. 10532 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(5490(a,1),9657(a,1,1)),flip(a)]. 10533 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(290,a,4991,a,b,10532,a),flip(a)]. 10534 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5613,a,10533,a)]. 10535 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10534(a,1),4515(a,2,2))]. 10536 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(9784,a,9964,a)]. 10537 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7511(a,1),10536(a,1,3))]. 10538 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6166,a,10537,a)]. 10539 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(10538(a,1),2292(a,1,1,2))]. 10540 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(10538(a,1),3007(a,1,1))]. 10541 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(65,a,6355,a(flip),b,10539,a),flip(a)]. 10544 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10541(a,1),2109(a,1,1))]. 10545 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6447(a,1),9848(a,1,2)),flip(a)]. 10546 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(290,a,3281,a,b,10545,a),flip(a)]. 10547 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5439(a,1),9885(a,1,1,2))]. 10548 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(10547(a,2),6846(a,1,1))]. 10550 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7126(a,2),10000(a,2,2))]. 10551 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(10384(a,1),10017(a,1))]. 10552 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(290,a,9734,a(flip),b,10062,a),flip(a)]. 10553 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(10370,a,10552,a)]. 10555 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7415(a,1),10184(a,1,2))]. 10557 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(65,a,9864,a(flip),b,10210,a)]. 10558 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(65,a,8834,a,b,10352,a)]. 10559 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(9(a,1),10369(a,2,2))]. 10560 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4770,a,10457,a),flip(a)]. 10561 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),10460(a,1,1,2,1)),flip(a)]. 10562 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),10461(a,1,1,2,1))]. 10563 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(6694(a,1),10535(a,2,2))]. 10564 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6693(a,1),10563(a,2,2))]. 10565 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(290,a,5067,a(flip),b,10564,a),flip(a)]. 10566 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(78(a,1),10565(a,1,1))]. 10567 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(78(a,1),10566(a,1,2,1)),flip(a)]. 10568 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(4915(a,1),10567(a,1,1))]. 10569 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10568(a,2),1815(a,1,2))]. 10577 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(7705,a,10550,a),flip(a)]. 10578 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(4837(a,1),10577(a,1,2,2))]. 10579 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8105(a,1),10555(a,2,1))]. 10580 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(65,a,8911,a(flip),b,10579,a)]. 10581 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(8387,a,10580,a)]. 10582 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(9070,a,10581,a)]. 10583 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4412(a,2),9750(a,1,2))]. 10585 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5559(a,1),10583(a,1,1))]. 10586 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(290,a,9960,a(flip),b,10585,a),flip(a)]. 10587 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(4680,a,10586,a)]. 10589 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10587(a,2),9926(a,1,1,2))]. 10590 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(8488,a,10589,a)]. 10591 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(7800,a,10590,a)]. 10592 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(10591(a,1),5724(a,1,1)),flip(a)]. 10593 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(290,a,4355,a(flip),b,10592,a),flip(a)]. 10594 L(x \ 1,x,y) * ((x \ 1) \ (y * x)) = y / (x \ 1). [hyper(290,a,6222,a(flip),b,9752,a),flip(a)]. 10595 L(x,x,y) * (x \ (y * x)) = y / (x \ 1). [hyper(65,a,6233,a(flip),b,10594,a)]. 10596 L(x,x,y) * T(y,x) = y / (x \ 1). [para(22(a,2),10595(a,1,2))]. 10597 x * L(y,y,x) = x / (y \ 1). [hyper(6103,a,10596,a)]. 10598 L(x,x,y) = y \ (y / (x \ 1)). [hyper(120,a,10596,a(flip),b,6102,a(flip)),flip(a)]. 10599 x * L(1 / y,1 / y,x) = x / y. [para(81(a,1),10597(a,2,2))]. 10600 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5186,a,9835,a),flip(a)]. 10602 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5186,a,9859,a),flip(a)]. 10603 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10602(a,1),8543(a,1,2))]. 10604 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1236(a,1),10131(a,1,2,1))]. 10605 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * x) * y. [para(7(a,1),10237(a,2,1,2))]. 10606 (x * y) * L(R(a(z,u,z),x,y),w,v5) = (L(a(z,u,z),w,v5) * x) * y. [para(29(a,1),10605(a,1,2))]. 10607 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(10420(a,2),4706(a,1))]. 10608 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(10016(a,1),10607(a,1))]. 10609 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9(a,1),10513(a,2,2,1,1))]. 10610 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(136,a,10609,a)]. 10611 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10609(a,1),297(a,1,1)),flip(b)]. 10613 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(104(a,2),10610(a,1,2))]. 10614 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10304(a,2),10613(a,1,1))]. 10615 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9140(a,2),10611(a,1))]. 10616 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10615,a,8672,a),flip(a)]. 10617 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(10(a,1),10616(a,1,2,2,2)),flip(a)]. 10618 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(20(a,2),10617(a,2,2))]. 10620 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(170(a,1),10604(a,1,2,2))]. 10621 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10614(a,1),509(a,1))]. 10622 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10621,a,10618,a)]. 10623 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10622(a,1),505(a,1,1))]. 10624 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(65,a,6488,a(flip),b,10623,a),flip(a)]. 10625 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4557(a,1),10624(a,2,1))]. 10626 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(65,a,10304,a(flip),b,10625,a)]. 10628 L(x,K(y,z),z * y) = x. [hyper(864,a,10626,a)]. 10630 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(120,a,10,a(flip),b,10626,a),flip(a)]. 10632 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(4756(a,1),10626(a,1,2))]. 10634 L(x,K(y \ z,y),z) = x. [para(10(a,1),10628(a,1,3))]. 10635 L(x,K(y,y \ z),z) = x. [para(4580(a,1),10634(a,1,2))]. 10636 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(65,a,5697,a(flip),b,10635,a)]. 10637 (K(x,y) * (((x * y) \ z) * (u * u))) * w = ((y * x) \ z) * ((u * u) * w). [para(10630(a,1),118(a,2,1))]. 10639 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(10630(a,1),7337(a,1,1,2))]. 10640 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(7385(a,1),10630(a,1,1))]. 10642 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(10630(a,1),9646(a,1,2)),flip(a)]. 10643 K(x,y) * (((x * y) \ z) * y) = ((y * x) \ z) * y. [para(10630(a,1),9793(a,1,1)),flip(a)]. 10644 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1717(a,1),10632(a,2,1))]. 10646 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(10(a,1),10636(a,1,2)),flip(a)]. 10647 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(290,a,10330,a(flip),b,10642,a),flip(a)]. 10648 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(65,a,9759,a(flip),b,10647,a)]. 10649 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(10648(a,1),10420(a,1,1))]. 10650 T(x,y) * (((x * y) \ z) * y) = x * (((y * x) \ z) * y). [para(10643(a,1),4437(a,1,2)),flip(a)]. 10651 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(10640(a,1),7333(a,1,2,2)),flip(a)]. 10652 (K(x,y * y) * (((y * y) \ (x \ z)) * (u * u))) * w = (((y * y) * x) \ z) * ((u * u) * w). [para(403(a,1),10637(a,1,1,2,1))]. 10653 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9712,a,10118,a)]. 10655 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4435(a,1),10411(a,2,2))]. 10656 R(x,y,y) * ((T(z,K(y,u)) * K(y,u)) / z) = R(T(K(y,u) * x,K(y,u)),y,y). [hyper(290,a,27,a,b,10426,a),flip(a)]. 10657 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(227(a,1),10464(a,2,1))]. 10658 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(65,a,10308,a(flip),b,10657,a),flip(a)]. 10660 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(65,a,7152,a,b,10558,a)]. 10661 R(x,y,y) * ((T(z,K(y,u)) * K(y,u)) / z) = R(x * K(y,u),y,y). [para(6811(a,1),10656(a,2,1))]. 10662 R(x * K(y,z),y,y) = R(x,y,y) * K(y,z). [para(7494(a,1),10661(a,1,2)),flip(a)]. 10663 (x * y) * (y \ K(y,z)) = R(x * K(y,z),y,y). [hyper(290,a,6522,a,b,10662,a)]. 10664 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(9828(a,2),857(a,1))]. 10665 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(10071(a,1),4688(a,1))]. 10666 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(10242(a,1),10248(a,1))]. 10667 T(K(x,y) * L(y,z,u),x) / L(y,z,u) = K(y \ L(y,z,u),T(x,y)). [para(10(a,1),10317(a,1,2))]. 10668 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = K(x \ L(x,y,z),T(u,x)). [hyper(4178,a,10667,a)]. 10670 K(x \ L(x,y,z),T(u,x)) = K(L(x,y,z),u) * K(u,x). [hyper(9873,a,10668,a),flip(a)]. 10671 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7347,a,10353,a)]. 10672 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4694,a,10405,a),flip(a)]. 10673 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(290,a,8127,a(flip),b,10672,a),flip(a)]. 10674 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8133,a,10673,a)]. 10675 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(8863(a,1),10674(a,1,2))]. 10676 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(65,a,10603,a(flip),b,10675,a),flip(a)]. 10677 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(65,a,8129,a(flip),b,10676,a),flip(a)]. 10678 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7413,a,10677,a)]. 10679 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(65,a,10531,a(flip),b,10678,a)]. 10680 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(290,a,8662,a(flip),b,10679,a),flip(a)]. 10682 K(x,K(y,a(z,x,u))) = 1. [para(214(a,1),10680(a,1,2,2,3))]. 10684 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10682(a,1),7388(a,1,2)),flip(a)]. 10685 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(290,a,8,a(flip),b,10684,a),flip(a)]. 10686 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(7689,a,10685,a)]. 10687 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10686(a,1),104(a,1,2)),flip(a)]. 10688 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(10453(a,2),7648(a,1))]. 10689 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(65,a,10157,a(flip),b,10671,a)]. 10690 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(10178,a,10689,a)]. 10691 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(7743,a,10690,a),flip(a)]. 10693 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(65,a,9115,a(flip),b,10691,a)]. 10694 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(5977,a,10693,a),flip(a)]. 10695 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(65,a,10309,a,b,10694,a)]. 10696 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(65,a,9276,a,b,10695,a)]. 10697 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(1767(a,1),9883(a,1,1))]. 10698 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(65,a,9805,a(flip),b,10065,a),flip(a)]. 10700 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(65,a,7998,a(flip),b,10698,a),flip(a)]. 10702 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),10700(a,2,2))]. 10703 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(4811(a,2),10702(a,1,2,2))]. 10704 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(4837(a,1),10702(a,1,2,2)),flip(a)]. 10705 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10704(a,1),4888(a,1,2,2)),flip(a)]. 10706 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(290,a,4888,a(flip),b,10705,a),flip(a)]. 10707 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4429(a,1),10706(a,1,1,2)),flip(a)]. 10708 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(65,a,10653,a(flip),b,10707,a)]. 10709 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(5972,a,10559,a)]. 10710 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(9(a,1),10709(a,1,2))]. 10711 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9997,a,10710,a)]. 10712 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),10696(a,2,2,1))]. 10713 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(65,a,8595,a(flip),b,10712,a),flip(a)]. 10715 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4488(a,1),10697(a,2,1))]. 10716 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(8398(a,1),10715(a,1,1))]. 10717 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(290,a,9891,a,b,10716,a)]. 10718 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(10468,a,10717,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(120,a,104,a(flip),b,10362,a)]. 10723 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(8832,a,10722,a)]. 10724 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(10326,a,10723,a)]. 10725 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),10724(a,1,2,1)),flip(a)]. 10726 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(290,a,10110,a(flip),b,10725,a),flip(a)]. 10727 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(214(a,1),10726(a,1,2)),flip(a)]. 10728 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10726(a,1),10362(a,1,2))]. 10729 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(6842,a,10728,a),flip(a)]. 10730 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(121,a,10729,a(flip),b,104,a(flip))]. 10732 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(65,a,154,a(flip),b,10730,a),flip(a)]. 10734 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(10(a,1),10732(a,1,1,2))]. 10735 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),10732(a,1,1,2))]. 10736 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10732(a,1),7308(a,1,2))]. 10737 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10734(a,1),7311(a,1,2,2))]. 10739 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(5186,a,10366,a),flip(a)]. 10740 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(6146,a,10739,a)]. 10742 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(5549(a,1),9974(a,1,1,2))]. 10743 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(65,a,8768,a(flip),b,10569,a)]. 10744 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(3082(a,2),10743(a,2,1))]. 10745 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(290,a,81,a(flip),b,10744,a),flip(a)]. 10747 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(567,a,10644,a)]. 10749 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(3609(a,2),10747(a,1,2,2))]. 10750 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(6675(a,1),10749(a,1,2,2)),flip(a)]. 10751 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(374,a,10750,a)]. 10752 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(106(a,1),10751(a,1,2,2))]. 10753 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(10752(a,1),3642(a,1,2)),flip(a)]. 10754 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(10753(a,2),3055(a,1,1))]. 10755 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(65,a,10745,a(flip),b,10754,a)]. 10756 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(141,a,10755,a(flip))]. 10757 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(10017,a,10649,a),flip(a)]. 10758 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(4706,a,10757,a)]. 10759 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(10551,a,10758,a)]. 10760 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(398(a,1),10759(a,1,2,1,2))]. 10761 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(290,a,10329,a(flip),b,10760,a),flip(a)]. 10762 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(22(a,2),10761(a,1,2,2))]. 10763 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7804,a,10762,a)]. 10764 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(65,a,10760,a(flip),b,10763,a)]. 10765 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(10608,a,10764,a)]. 10766 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(65,a,10016,a,b,10764,a)]. 10767 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10764(a,1),7997(a,1,2,2))]. 10768 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10765(a,1),6061(a,1,1))]. 10769 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(4956,a,10767,a),flip(a)]. 10770 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8728,a,10769,a)]. 10771 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(8(a,1),10770(a,2,1,1))]. 10772 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(10770(a,1),10414(a,1,1,2,2))]. 10773 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(65,a,6971,a,b,10771,a)]. 10774 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(290,a,9980,a(flip),b,10773,a),flip(a)]. 10775 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(10773(a,1),8792(a,1,1))]. 10776 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(290,a,7107,a,b,10774,a)]. 10777 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(4855,a,10775,a)]. 10778 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(37,a,8790,a,b,10777,a)]. 10779 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5047(a,2),10778(a,1,1))]. 10780 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5956(a,1),10778(a,2,2,2,1))]. 10781 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(272(a,1),10779(a,2,2))]. 10782 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(290,a,6100,a(flip),b,10781,a),flip(a)]. 10784 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(65,a,10766,a(flip),b,10768,a),flip(a)]. 10785 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(65,a,10102,a(flip),b,10784,a)]. 10786 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(65,a,10383,a(flip),b,10776,a)]. 10787 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [para(4667(a,1),10786(a,1,1,1)),flip(a)]. 10788 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(65,a,7376,a,b,10785,a),flip(a)]. 10789 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(290,a,10156,a(flip),b,10788,a),flip(a)]. 10790 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),10789(a,1,2,1)),flip(a)]. 10791 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(65,a,7116,a(flip),b,10790,a),flip(a)]. 10792 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(290,a,5790,a(flip),b,10791,a),flip(a)]. 10793 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4701,a,10792,a),flip(a)]. 10794 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(65,a,10015,a(flip),b,10792,a),flip(a)]. 10795 K(x,x \ (y * (x * z))) = K(x,y * z). [para(9(a,1),10793(a,2,2,2))]. 10796 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10793(a,1),6732(a,1,1,2))]. 10797 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(65,a,9943,a,b,10794,a)]. 10798 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(65,a,10066,a,b,10795,a)]. 10799 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10798(a,1),7472(a,1,2)),flip(a)]. 10801 L(K(x,x \ y),y,z) = K(x,x \ y). [para(9(a,1),10797(a,1,3))]. 10802 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9951,a,10801,a)]. 10803 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(6905,a,10801,a)]. 10805 a(x,y,K(z,z \ y)) = 1. [hyper(55,a,10801,a)]. 10806 a(x,y,K(z \ y,z)) = 1. [para(4588(a,1),10805(a,1,3))]. 10807 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(54,a,10806,a)]. 10808 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9996,a,10807,a)]. 10811 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(10(a,1),10802(a,1,2,2,2))]. 10812 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(73(a,1),10802(a,1,2,2)),flip(a)]. 10813 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10802(a,1),9967(a,1,2))]. 10814 (K(x,x \ (y \ z)) * u) \ u = K((y * x) \ z,T(x,u)). [para(10803(a,1),7131(a,1,1,1))]. 10816 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(10(a,1),10808(a,1,1,2,2))]. 10817 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10808(a,1),10032(a,1,2))]. 10818 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(10811(a,2),7629(a,1,2))]. 10819 K((x \ y) / z,z) = K(x \ (z \ y),z). [hyper(290,a,4579,a,b,10816,a)]. 10820 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(65,a,9833,a(flip),b,10816,a),flip(a)]. 10821 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1327(a,1),10820(a,1,1,2,1))]. 10822 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(6176(a,1),10820(a,1,1,2,1))]. 10823 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7330(a,1),10799(a,1,2)),flip(a)]. 10825 R(x,y,K(z \ y,z)) = x. [hyper(872,a,10817,a)]. 10827 R(x,y / z,z) = R(x,z \ y,z). [hyper(65,a,6924,a(flip),b,10825,a),flip(a)]. 10828 R(x,y * z,K(z,y)) = x. [para(9(a,1),10825(a,1,3,1))]. 10829 R(x,y,T(z,y)) = R(x,y,z). [hyper(6407,a,10828,a)]. 10830 (x * (y * z)) * K(z,y) = x * (z * y). [para(10828(a,1),508(a,1,1)),flip(a)]. 10834 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10829(a,1),505(a,1,1))]. 10836 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7109(a,2),10829(a,1,3))]. 10837 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10829(a,1),8899(a,2,2))]. 10839 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(65,a,10088,a(flip),b,10827,a),flip(a)]. 10840 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(65,a,6465,a(flip),b,10827,a),flip(a)]. 10841 R(a(x / y,z,z),y \ x,y) = (y * R(y \ x,z,z)) / x. [hyper(65,a,2214,a(flip),b,10827,a),flip(a)]. 10842 K(x,L(y,x,z)) = K(x,y). [hyper(6841,a,10830,a)]. 10843 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(296,a,10830,a),flip(a)]. 10844 ((x * (y * z)) / z) \ (x * (z * y)) = T(z,y). [hyper(120,a,10830,a(flip),b,5731,a)]. 10846 (x * (y * L(y \ 1,z,u))) * K(y \ 1,L(y,z,u)) = x * ((y \ 1) * L(y,z,u)). [para(4344(a,1),10830(a,1,1,2))]. 10847 T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). [para(10830(a,1),7479(a,1,1))]. 10848 K(L(x,y,z),y) = K(x,y). [hyper(9950,a,10842,a)]. 10849 K(T(x,y),T(z,y)) = K(x,L(z,T(x,y),u)). [hyper(7645,a,10842,a),flip(a)]. 10852 L(K(x,y),z,y * x) = K(x,y). [hyper(65,a,10727,a(flip),b,10842,a)]. 10853 T(x,L(y,x,z)) = x * K(x,y). [para(10842(a,1),4471(a,2,2))]. 10857 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10848(a,1),8356(a,1,1))]. 10859 K(x,R(y,x,z)) = K(x,y). [hyper(65,a,10618,a(flip),b,10852,a)]. 10860 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10852(a,1),10609(a,1,1))]. 10861 x \ T(x,R(y,x,z)) = K(x,y). [hyper(4436,a,10859,a)]. 10862 L(K(x,y),z,y * x) = K(x,R(y,x,u)). [hyper(290,a,10852,a,b,10859,a)]. 10863 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(65,a,8754,a(flip),b,10859,a)]. 10864 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(65,a,6469,a(flip),b,10859,a)]. 10865 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),10859(a,1,2))]. 10868 T(x,L(y,x,z)) = T(x,y). [hyper(290,a,4471,a,b,10853,a),flip(a)]. 10869 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(65,a,9897,a(flip),b,10868,a)]. 10871 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10868(a,1),104(a,1,2))]. 10872 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(480(a,1),10868(a,1,2)),flip(a)]. 10873 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(488(a,1),10868(a,1,2))]. 10874 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10868(a,1),6910(a,1,1,2)),flip(a)]. 10875 T(x,R(y,x,z)) = T(x,y). [hyper(40,a,4412,a(flip),b,10861,a),flip(a)]. 10876 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(533(a,1),10875(a,1,2))]. 10877 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(5639,a,10864,a)]. 10878 T((x * x) / (y * (x * x)),x * x) * y = K(x * x,y). [hyper(1036,a,10843,a(flip))]. 10881 K(x,R(y,x,z)) != u | K(x,y) = u. [para(10862(a,1),471(a,1)),flip(b)]. 10882 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10862(a,2),9712(a,1))]. 10883 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(10354(a,2),10881(a,1))]. 10884 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10736,a,10863,a)]. 10886 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(65,a,10091,a,b,10863,a)]. 10887 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(65,a,6614,a(flip),b,10863,a)]. 10889 K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). [para(10869(a,1),6765(a,1,1,2,2)),flip(a)]. 10890 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10871(a,1),1320(a,1,2,2))]. 10891 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(65,a,10025,a,b,10877,a)]. 10892 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10726(a,1),10882(a,1))]. 10893 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(8234(a,1),10892(a,1))]. 10894 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10884(a,1),8684(a,1,2))]. 10895 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),10886(a,1,2,1)),flip(a)]. 10896 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10891(a,1),7233(a,1,1))]. 10897 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(3896(a,1),10895(a,1,2,2))]. 10900 K(x,L(y,T(x,z),u)) = K(x,y). [hyper(7639,a,10849,a),flip(a)]. 10902 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(65,a,6481,a,b,10865,a)]. 10903 L(x,T(y,x),z) = L(x,y,z). [hyper(290,a,18,a,b,10874,a)]. 10905 L(x,y / x,z) = L(x,x \ y,z). [para(106(a,1),10903(a,1,2)),flip(a)]. 10907 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(65,a,560,a(flip),b,10905,a),flip(a)]. 10908 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10905(a,1),6139(a,1,1))]. 10910 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6742,a,10796,a),flip(a)]. 10911 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(10(a,1),10910(a,1,1,2)),flip(a)]. 10912 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(290,a,10626,a(flip),b,10860,a),flip(a)]. 10914 L(x,y * z,K(z,y)) = x. [hyper(4569,a,10912,a)]. 10915 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(601,a,10912,a)]. 10916 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),10912(a,1,2,1))]. 10917 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [para(104(a,1),10912(a,1,2))]. 10919 L(x,y,T(z,y)) = L(x,y,z). [hyper(6382,a,10914,a)]. 10920 L(x,T(y,z),z) = L(x,y,z). [hyper(6321,a,10914,a)]. 10921 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(290,a,10628,a,b,10914,a)]. 10922 L(x,y,z / y) = L(x,y,y \ z). [hyper(65,a,6600,a(flip),b,10919,a)]. 10923 L(x,y / z,z) = L(x,z \ y,z). [hyper(65,a,3984,a(flip),b,10919,a)]. 10924 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(290,a,10628,a,b,10920,a)]. 10925 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(65,a,10500,a(flip),b,10920,a),flip(a)]. 10926 L(x,T(y,(z * z) \ u),u) = L(x,y,(z * z) \ u). [hyper(65,a,1838,a(flip),b,10920,a)]. 10927 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(65,a,483,a(flip),b,10920,a),flip(a)]. 10928 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(105(a,1),10920(a,1,2))]. 10930 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(10920(a,1),461(a,1,2))]. 10932 x * L(y,z,z \ x) = (x / z) * (z * y). [para(10922(a,1),446(a,1,2))]. 10933 L(x,y \ z,(y \ z) \ (z / (z / y))) = L(x,y \ z,y / (z / y)). [para(6022(a,1),10922(a,1,3)),flip(a)]. 10934 x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. [hyper(317,a,10915,a)]. 10936 L(T(x,y / x) \ z,x,x \ y) = (x * (y / x)) \ ((y / x) * z). [hyper(65,a,10922,a(flip),b,10927,a)]. 10937 (x * y) \ (y * R(T(x,y),z,z)) = L(a(T(x,y),z,z),x,y). [para(2197(a,1),10927(a,1,1)),flip(a)]. 10938 K(x,L(T(y,1 / z) \ u,y,1 / z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). [para(10927(a,2),5258(a,1,2))]. 10939 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(136,a,10930,a)]. 10940 K(x,L(y,K(z,u),u * z)) = K(x,y). [para(10921(a,2),9801(a,1,2))]. 10941 L(((x \ y) \ y) \ z,x,x \ y) = y \ ((x \ y) * z). [hyper(586,a,10928,a),flip(a)]. 10942 x \ (((y \ x) * (K(y,y \ x) * z)) * y) = ((y \ x) * y) \ (((y \ x) * z) * y). [para(9692(a,2),10934(a,1,2))]. 10943 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(10924(a,1),474(a,1))]. 10944 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10924(a,1),10940(a,1,2))]. 10945 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(6386(a,1),10943(a,1))]. 10948 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(3984(a,1),10945(a,1))]. 10952 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(106(a,1),10944(a,1,2,2)),flip(a)]. 10953 K(x,L(T(y,z) \ u,y,z)) = K(x,(y * z) \ (z * u)). [para(483(a,1),10944(a,1,2)),flip(a)]. 10955 L(x,y \ L(1 / y,z,u),y) != w | L(x,y \ L(y \ 1,z,u),y) = w. [para(6237(a,1),10948(a,1,2))]. 10958 T(x \ y,z / (y / x)) = T(x \ y,y \ (x * z)). [hyper(65,a,7094,a,b,10872,a)]. 10959 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(65,a,8679,a(flip),b,10887,a),flip(a)]. 10960 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7120,a,10896,a)]. 10961 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(65,a,10313,a(flip),b,10960,a)]. 10962 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10961(a,1),6732(a,1,1,2)),flip(a)]. 10963 (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). [hyper(120,a,10847,a,b,10917,a(flip))]. 10964 T(x / (y / z),T(z \ y,y \ (z * x))) = T((y / z) \ x,K(y,z)). [para(10958(a,1),8340(a,1,2))]. 10965 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(65,a,10895,a(flip),b,10959,a),flip(a)]. 10966 T(x,T(y * z,z)) = T(x,z * y). [hyper(65,a,7682,a(flip),b,10963,a)]. 10967 T(x * K(y,x),y * z) = T(x,z * y) * K(y,x). [hyper(65,a,8528,a(flip),b,10966,a),flip(a)]. 10968 T(x,y * (z / y)) = T(x,T(z,y)). [para(12(a,1),10966(a,1,2,1)),flip(a)]. 10969 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(10965(a,1),6493(a,1))]. 10970 T(x,T(y * z,y)) = T(x,z * y). [hyper(8527,a,10967,a)]. 10972 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(290,a,4471,a(flip),b,10970,a),flip(a)]. 10973 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(65,a,7929,a,b,10970,a)]. 10974 T(x,(y \ z) * y) = T(x,T(z,y)). [para(10(a,1),10970(a,1,2,1)),flip(a)]. 10976 T(x,(y \ z) * y) = T(x,y * (z / y)). [hyper(290,a,10968,a,b,10974,a),flip(a)]. 10977 T(x,(y \ z) * y) = x / K(z,T(x,y)). [hyper(290,a,7184,a,b,10974,a),flip(a)]. 10979 K(x / y,z * y) = K(y \ x,y * z). [hyper(7367,a,10972,a),flip(a)]. 10980 K(x,T(y * z,y)) = K(x,z * y). [hyper(4543,a,10972,a)]. 10981 K(x,L(y,z,1 / z) / (1 / z)) = K(x,y * z). [hyper(8724,a,10980,a)]. 10982 K(x / y,y * z) = K(y \ x,z * y). [hyper(7641,a,10980,a)]. 10983 K(T(x,y),z * y) = K(x,y * z). [hyper(7639,a,10980,a),flip(a)]. 10984 K(x,T(y * z,z)) = K(x,z * y). [hyper(65,a,8104,a,b,10980,a)]. 10985 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),10980(a,1,2,1)),flip(a)]. 10986 K(x,T(y * z,z)) = K(x,T(y,z) * z). [para(104(a,1),10980(a,1,2,1))]. 10987 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(10980(a,1),7176(a,2,2))]. 10988 K(x,y * z) * z = z * K(x,z * y). [para(10980(a,1),7511(a,1,1))]. 10989 K(x * y,z) * K(z,y * x) = K(x,K(z,x * y)). [para(10980(a,1),7465(a,1,2))]. 10990 K(x \ y,z * x) != u | K(y / x,x * z) = u. [para(10980(a,1),7641(a,1))]. 10991 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(10980(a,1),8108(a,1))]. 10992 K(x,y * (z / y)) = K(x,T(z,y)). [para(12(a,1),10984(a,1,2,1)),flip(a)]. 10993 K(x,T((y * z) * u,z * u)) = K(x,(z * u) * R(y,z,u)). [para(100(a,1),10984(a,1,2,1))]. 10994 K(x,T((y * z) * (z \ u),(z \ 1) \ u)) = K(x,((z \ 1) \ u) * (y * (z \ 1))). [para(2216(a,1),10984(a,1,2,1))]. 10995 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4162(a,1),10985(a,1,2)),flip(a)]. 10996 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(6840(a,2),10992(a,1,2)),flip(a)]. 10997 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7486,a,10973,a)]. 10999 T(T(x,K(y,z \ u)),((u \ z) \ 1) * y) = T(x,y * ((u \ z) \ 1)). [para(5790(a,1),10973(a,1,1,2))]. 11000 T(T(x,K(y,z)),y * z) = T(x,z * y). [para(7476(a,1),10973(a,1,1))]. 11002 T(T(x,K(y,z)),(z \ 1) * y) = T(x,y * (z \ 1)). [para(8064(a,1),10973(a,1,1))]. 11003 T(T(x,K(y,z)),y * (z \ 1)) = T(x,(z \ 1) * y). [para(8065(a,1),10973(a,1,1))]. 11004 T(T(x,K(y,z)),z * (y \ z)) = T(x,(y \ z) * z). [para(8077(a,1),10973(a,1,1))]. 11005 T((x / y) * K(y,x / y),(y \ x) * y) = L(x / y,y,x / y). [hyper(290,a,4634,a(flip),b,10976,a),flip(a)]. 11006 K((x \ y) * x,z) = K(y,T(z,x)). [hyper(4500,a,10977,a)]. 11007 T(x,(y \ z) * y) != u | T(x,T(z,y)) = u. [para(10977(a,2),7191(a,1))]. 11008 K(x * y,T(z,x)) = K(y * x,z). [para(9(a,1),11006(a,1,1,1)),flip(a)]. 11009 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(8108,a,11008,a)]. 11010 K(x * y,T(z,y)) = K(y * x,z). [hyper(7595,a,11008,a),flip(a)]. 11011 K(x * y,z) * x = x * K(y * x,z). [para(11008(a,1),7102(a,1,2)),flip(a)]. 11012 K(x * y,z) * y = y * K(y * x,z). [para(11008(a,1),7511(a,1,1))]. 11013 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(11008(a,1),7595(a,1))]. 11014 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(11008(a,1),10593(a,1,1))]. 11015 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(65,a,7378,a(flip),b,11010,a),flip(a)]. 11016 K(x * (y / x),z) = K(y,T(z,x)). [para(12(a,1),11010(a,1,1)),flip(a)]. 11018 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(417(a,1),11010(a,1,1))]. 11019 K(x * ((x \ 1) \ (y * z)),T(u,z)) = K(z * (x * ((x \ 1) \ y)),u). [para(1097(a,1),11010(a,1,1))]. 11020 K(x * y,z) * (y * x) = T(y * x,T(z,x)). [para(11010(a,1),4491(a,2,1)),flip(a)]. 11021 x * K(x * y,z) != u * x | K(y * x,z) = u. [para(11010(a,1),7122(a,1,2))]. 11022 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(11010(a,1),7595(a,1))]. 11023 x / ((y * z) * K(u,T(y * z,z))) = (x / (y * z)) * K(z * y,u). [para(11010(a,1),7201(a,2,2))]. 11024 K((x * y) * T(z,y),T(u,z * y)) = K((z * y) * R(x,y,z),u). [para(10834(a,1),11010(a,1,1))]. 11025 K((x \ y) * x,z) = K(x * (y / x),z). [hyper(290,a,11006,a,b,11016,a)]. 11026 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3472(a,2),11016(a,1,1))]. 11027 K(x,T(y,z) * z) = K(x,z * y). [hyper(65,a,10984,a(flip),b,10986,a),flip(a)]. 11028 K(x,T(y,(1 / z) \ u) * ((z \ 1) \ u)) = K(x,((1 / z) \ u) * y). [hyper(65,a,5036,a(flip),b,11027,a)]. 11029 K(x,T(y,(z * z) / u) * ((z * z) / u)) = K(x,(z * z) * ((1 / u) * y)). [para(442(a,2),11027(a,2,2))]. 11030 T(x,T(y,z) * z) = x * K(x,z * y). [para(11027(a,1),4471(a,2,2))]. 11031 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(10997(a,1),7499(a,1))]. 11032 (x * (y * K(z * y,x))) * z = (y * z) * R(x,y,z). [para(11011(a,1),5103(a,1,1,2))]. 11033 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [para(11011(a,1),9618(a,2,2))]. 11034 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(11012(a,1),10578(a,1,2))]. 11035 (x * ((y \ z) \ R(y \ z,y,y \ z))) / (K(y \ z,y) * x) = K(y * (z / y),y \ z). [hyper(65,a,10262,a,b,11025,a)]. 11036 K(T(x,y) * y,z) = K(y * x,z). [hyper(290,a,11008,a(flip),b,11026,a),flip(a)]. 11037 K(T(x,y) * y,z) = z / T(z,y * x). [hyper(290,a,4408,a(flip),b,11036,a),flip(a)]. 11038 T(x,T(y,z) * z) = T(x,z * y). [hyper(290,a,4471,a,b,11030,a),flip(a)]. 11039 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(11030(a,2),4475(a,1))]. 11040 (T(x,y) * y) * T(z,y * x) = z * (T(x,y) * y). [para(11038(a,1),104(a,1,2))]. 11041 T(x,T(y,z * T(u,z * z)) * (z * T(u,z * z))) = T(x,((z \ 1) * u) * ((z * z) * y)). [para(988(a,2),11038(a,2,2))]. 11042 K(x / (T(y,z) * z),T(u,z * y)) != w | K((T(y,z) * z) \ x,u) = w. [para(11038(a,1),7351(a,1,2))]. 11043 K(T(x,y) * y,z) != u | K(y * x,z) = u. [para(11037(a,2),4510(a,1))]. 11044 K((x * x) * (y * z),T(u,z)) != w | K(z * ((x * x) * y),u) = w. [para(33(a,1),11013(a,1,1))]. 11045 K(x * T(x \ y,z),T(u,x)) != w | K(x * T(y / x,z),u) = w. [para(417(a,1),11013(a,1,1))]. 11046 K(x * ((y * y) \ z),T(u,z)) != w | K(z * (x / (y * y)),u) = w. [para(707(a,1),11013(a,1,1))]. 11047 K((x * y) * T(z,y),T(u,z * y)) != w | K((z * y) * R(x,y,z),u) = w. [para(10834(a,1),11013(a,1,1))]. 11052 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5005(a,2),11022(a,1,1))]. 11053 T(x,a(y,z,y) * u) != w | T(x,u * a(y,z,y)) = w. [para(10221(a,1),11039(a,1,2,1))]. 11054 K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). [hyper(7349,a,10995,a)]. 11055 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(10995(a,1),4582(a,1))]. 11056 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(10995(a,1),7595(a,1))]. 11058 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(8091(a,1),11056(a,1))]. 11059 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8104(a,1),11056(a,1))]. 11060 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(10986(a,1),11056(a,1))]. 11061 K(x,(y \ 1) \ (z * y)) != u | K(x,((y \ 1) \ z) * y) = u. [para(1098(a,1),11059(a,1,2))]. 11062 K(x,T(y,T(z,u)) * ((u * z) / u)) != w | K(x,((u * z) / u) * y) = w. [para(7607(a,1),11060(a,1,2,1))]. 11063 K(x,T(y,z * u) * T(u * z,u)) != w | K(x,T(u * z,u) * y) = w. [para(10970(a,1),11060(a,1,2,1))]. 11064 K(x,T(y,z * u) * (T(u,z) * z)) != w | K(x,(T(u,z) * z) * y) = w. [para(11038(a,1),11060(a,1,2,1))]. 11065 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(2110(a,1),11009(a,1,1)),flip(a)]. 11066 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(9296,a,11015,a),flip(a)]. 11067 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(65,a,6041,a(flip),b,11020,a)]. 11069 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(11066(a,1),4471(a,2,2)),flip(a)]. 11070 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(120,a,11067,a,b,4156,a)]. 11072 K(x,y * z) * K(x,K(L(y,z,1 / z),1 / z)) = K(x,z * y). [para(10981(a,1),8025(a,1,1))]. 11073 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7514(a,1),11031(a,1,1,2))]. 11074 K(x * y,z) * K(z,y * x) = K(x,K(y,z)). [hyper(290,a,7561,a(flip),b,10989,a),flip(a)]. 11076 K((x * (y \ 1)) * (z * u),w) * K(w,(((y * y) \ z) * u) * (x * y)) = K(x * y,K(((y * y) \ z) * u,w)). [para(1011(a,1),11074(a,1,1,1))]. 11077 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [hyper(65,a,8093,a(flip),b,10996,a),flip(a)]. 11078 K(x,T((y \ 1) * z,K(z,y))) * T(x,K(z,y)) = T(x,z * (y \ 1)). [hyper(7798,a,11002,a)]. 11079 T(T(x,K((y \ 1) \ z,y)),z) = T(x,((y \ 1) \ z) * (y \ 1)). [para(10(a,1),11002(a,1,2))]. 11080 T(T(x,K(y,z)),T(y,z) * (z \ 1)) = T(x,(z \ 1) * T(y,z)). [para(4575(a,1),11003(a,1,1,2))]. 11081 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(65,a,8356,a(flip),b,10857,a),flip(a)]. 11083 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(976(a,1),11081(a,1,1)),flip(a)]. 11084 L(((x \ K(x,y)) \ K(x,y)) \ z,x,x \ K(x,y)) = K(x,y) \ ((((y * x) / y) \ 1) * z). [para(4574(a,2),10941(a,2,2,1))]. 11085 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(11058,a,10620,a)]. 11086 K((x * y) \ z,T(y,u)) = K(y \ (x \ z),T(y,u)). [hyper(7228,a,10814,a),flip(a)]. 11087 T(R(x / x,x,x) / y,x * x) * y = K(x * x,y). [para(684(a,1),10878(a,1,1,1))]. 11088 T(R(1,x,x) / y,x * x) * y = K(x * x,y). [para(75(a,1),11087(a,1,1,1,1,1))]. 11090 T(1 / x,y * y) * x = K(y * y,x). [para(343(a,1),11088(a,1,1,1,1))]. 11091 K(x \ 1,y * y) = K(y * y,x). [hyper(5124,a,11090,a)]. 11093 K(x * x,y \ 1) = K(y,x * x). [hyper(4706,a,11091,a),flip(a)]. 11094 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4475,a,10894,a),flip(a)]. 11095 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(290,a,6732,a(flip),b,10962,a),flip(a)]. 11096 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7347,a,11095,a)]. 11097 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(78(a,1),11096(a,1,2,1,2)),flip(a)]. 11098 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8108,a,11018,a)]. 11099 T(K(x * y,z) * y,T(x,y)) = T(y,x) * K(x * y,z). [hyper(229,a,11033,a,b,3951,a)]. 11101 T(x * K(x * y,z),T(y,x)) = T(x,y) * K(y * x,z). [para(11012(a,1),11099(a,1,1))]. 11102 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10859(a,1),10902(a,1,1))]. 11104 K(x,((y * y) * z) * R(u \ 1,y * y,z)) = K(x,T((u \ (y * y)) * z,(y * y) * z)). [para(405(a,1),10993(a,1,2,1,1)),flip(a)]. 11105 K(x,T(T((y * z) * (u / (y * z)),y * z),z * (u / T(y * z,u)))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). [para(3629(a,2),10993(a,1,2,1))]. 11106 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(6619(a,1),11014(a,1,1,1))]. 11107 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5803,a,11069,a)]. 11108 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(4842,a,11107,a)]. 11109 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(8320(a,2),11108(a,1,2))]. 11110 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(6813,a,11109,a)]. 11111 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(6740,a,11110,a)]. 11112 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(65,a,5758,a(flip),b,11111,a)]. 11113 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(11(a,1),11112(a,1,2,1,2)),flip(a)]. 11114 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,((z \ 1) \ y) * (z \ 1)). [hyper(7486,a,11079,a)]. 11115 K(T(x,y) * (y \ 1),T(z,K(x,y))) \ T(z,K(x,y)) = T(z,(y \ 1) * T(x,y)). [hyper(4966,a,11080,a)]. 11116 T(T(x,K((y \ 1) \ (y \ z),y)),T((y \ 1) \ (y \ z),y) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,y))). [para(1455(a,1),11080(a,2,2))]. 11117 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z \ 1)). [hyper(290,a,10974,a(flip),b,11114,a),flip(a)]. 11118 T(T(x,y),K(z,(z \ 1) \ y)) != u | T(x,T(y,z)) = u. [para(11117(a,2),8100(a,1))]. 11119 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(290,a,8896,a(flip),b,10837,a),flip(a)]. 11120 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6341,a,11119,a)]. 11121 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(25(a,2),11120(a,1,3))]. 11122 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(65,a,2892,a(flip),b,11121,a)]. 11123 L(T(x,x \ y) \ z,x,x \ y) = (x * (y / x)) \ ((y / x) * z). [para(3609(a,1),10936(a,1,1,1))]. 11124 T((x / y) * K(y,y \ x),(y \ x) * y) = L(x / y,y,x / y). [para(4587(a,1),11005(a,1,1,2))]. 11125 K(x * K((x \ y) \ 1,z),T(u,y)) != w | K(y * T(x / y,z),u) = w. [para(4710(a,1),11045(a,1,1))]. 11126 (x * (y / x)) \ ((y / x) * z) = (x * (x \ y)) \ ((x \ y) * z). [hyper(65,a,10927,a(flip),b,11123,a),flip(a)]. 11127 (x * (y / x)) \ ((y / x) * z) = y \ ((x \ y) * z). [hyper(290,a,155,a(flip),b,11126,a),flip(a)]. 11129 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(65,a,10812,a(flip),b,10897,a),flip(a)]. 11130 L(x,y \ z,y / (z / y)) = L(x,y \ z,(z / y) \ y). [para(5368(a,1),10933(a,1,3)),flip(a)]. 11131 K((x * x) * (y * z),T(u,z)) = K(z * (x * ((x \ 1) \ y)),u). [hyper(65,a,5461,a(flip),b,11019,a)]. 11132 K(x * (y * ((y \ 1) \ z)),u) = K(x * ((y * y) * z),u). [hyper(11044,a,11131,a),flip(a)]. 11133 x / ((y * z) * K(u,z * y)) = (x / (y * z)) * K(z * y,u). [para(10984(a,1),11023(a,1,2,2))]. 11134 x / y != (x / (z * u)) * K(u * z,w) | (z * u) * K(w,u * z) = y. [para(11133(a,1),47(a,1)),flip(a)]. 11135 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(9052,a,11034,a),flip(a)]. 11136 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(290,a,7240,a(flip),b,11083,a),flip(a)]. 11137 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(11(a,1),11113(a,1,2)),flip(a)]. 11138 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(65,a,5776,a(flip),b,11137,a),flip(a)]. 11139 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(290,a,657,a(flip),b,11136,a),flip(a)]. 11140 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7356,a,11139,a)]. 11142 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10665,a,11140,a)]. 11143 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(10(a,1),11070(a,1,2,2,1))]. 11144 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(65,a,5276,a(flip),b,11143,a),flip(a)]. 11145 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2640(a,1),11144(a,1,1))]. 11146 ((x \ y) / (x \ 1)) \ T(x \ y,x) = (x \ y) / ((x \ 1) \ (y / x)). [hyper(65,a,5687,a(flip),b,11145,a),flip(a)]. 11147 ((x / y) / (y \ 1)) \ T(x / y,y) = (y \ x) / ((y \ 1) \ (x / y)). [para(106(a,1),11145(a,1,1)),flip(a)]. 11148 (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ (x \ y). [para(106(a,1),11147(a,1,2)),flip(a)]. 11149 ((x \ y) / (x \ 1)) \ T(x \ y,x) = ((y / x) / (x \ 1)) \ (x \ y). [hyper(65,a,11146,a,b,11148,a)]. 11150 ((x / y) / (y \ 1)) \ (y \ x) = T(y,y \ x) \ 1. [hyper(6000,a,11149,a),flip(a)]. 11151 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [hyper(190,a,11150,a)]. 11152 K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). [para(11151(a,1),11077(a,1,2))]. 11153 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(65,a,8389,a(flip),b,11122,a)]. 11154 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(65,a,25,a,b,10873,a)]. 11155 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(65,a,27,a,b,10876,a)]. 11156 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(290,a,6765,a(flip),b,10889,a),flip(a)]. 11157 K(x,L(T(y,z \ 1) \ u,y,1 / z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). [para(2635(a,1),10938(a,1,2,1,1))]. 11158 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10376(a,1),11154(a,1,1))]. 11159 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(290,a,3609,a(flip),b,11155,a),flip(a)]. 11160 K(x,L(T(y,z \ 1) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). [para(1844(a,1),11157(a,1,2))]. 11161 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10869(a,1),11158(a,1,1)),flip(a)]. 11162 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(11161(a,1),4737(a,1,2,1))]. 11164 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(290,a,27,a,b,11159,a),flip(a)]. 11165 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11094(a,1),11164(a,1,1))]. 11166 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),11165(a,1,1,2,2)),flip(a)]. 11167 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(603,a,11166,a),flip(a)]. 11168 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11166(a,1),4894(a,1,2,1))]. 11169 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(65,a,1093,a(flip),b,11167,a)]. 11170 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(9(a,1),11167(a,1,1,2)),flip(a)]. 11171 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7873(a,1),11167(a,1,1)),flip(a)]. 11172 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(81(a,1),11169(a,1,1,1)),flip(a)]. 11175 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5189(a,1),11169(a,2,1))]. 11178 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11172(a,1),6917(a,1,2,1)),flip(a)]. 11179 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1241(a,1),11170(a,1,1)),flip(a)]. 11180 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6455(a,1),11171(a,1,1))]. 11181 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7109(a,2),11180(a,2,1))]. 11182 ((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(7763(a,1),11181(a,2,1))]. 11183 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(290,a,221,a(flip),b,11179,a),flip(a)]. 11184 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(27(a,2),11183(a,2,1))]. 11185 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(290,a,748,a(flip),b,11184,a),flip(a)]. 11186 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11185(a,1),4422(a,1,1))]. 11187 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4689,a,11186,a),flip(a)]. 11188 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7031,a,11187,a)]. 11189 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(290,a,8866,a,b,11188,a),flip(a)]. 11190 ((x \ y) * x) \ (((x \ y) * z) * x) = y \ (((y / x) * z) * x). [para(5102(a,1),10942(a,1,2,1)),flip(a)]. 11191 ((x \ 1) * x) \ ((x \ (y * (1 / x))) * x) = 1 \ (((1 / x) * (x \ T(y,x \ 1))) * x). [para(2647(a,1),11190(a,1,2,1))]. 11192 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(954(a,1),11098(a,1,1))]. 11193 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7357,a,11192,a),flip(a)]. 11194 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(65,a,4892,a(flip),b,11162,a),flip(a)]. 11195 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(11194(a,1),8403(a,1,2)),flip(a)]. 11196 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5575,a,11168,a),flip(a)]. 11198 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11196(a,1),4393(a,1,1,2))]. 11199 (x * (y * L(y \ 1,z,u))) * K(y,y \ 1) = x * ((y \ 1) * L(y,z,u)). [para(6085(a,1),10846(a,1,2))]. 11200 x * ((y * L(y \ 1,z,u)) * K(y,y \ 1)) = x * ((y \ 1) * L(y,z,u)). [hyper(4111,a,11199,a)]. 11202 x * (y * (L(y \ 1,z,u) * K(y,y \ 1))) = x * ((y \ 1) * L(y,z,u)). [para(2583(a,1),11200(a,1,2))]. 11203 x * ((y \ 1) * L(y,z,u)) = x * (y * L(1 / y,z,u)). [para(4313(a,1),11202(a,1,2,2)),flip(a)]. 11204 (x \ 1) * L(x,y,z) = x * L(1 / x,y,z). [hyper(347,a,11203,a),flip(a)]. 11205 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(104(a,1),10890(a,1,1,1))]. 11206 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1579,a,11205,a),flip(a)]. 11207 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(104(a,1),11206(a,1,2))]. 11208 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(7807,a,11207,a),flip(a)]. 11210 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(11208(a,1),6090(a,1,1))]. 11211 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(9940,a,11210,a),flip(a)]. 11212 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(11211(a,1),10782(a,1,1))]. 11213 L(K(x,x * y),y,z) = K(x,x * y). [para(8248(a,1),11212(a,1,1))]. 11215 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(11213(a,2),4814(a,1,2))]. 11217 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5602,a,11215,a)]. 11218 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(65,a,10787,a(flip),b,11217,a),flip(a)]. 11220 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(10(a,1),11218(a,1,1,2,1)),flip(a)]. 11221 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(65,a,6116,a(flip),b,11220,a)]. 11222 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(9862,a,11221,a)]. 11223 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(9861,a,11221,a),flip(a)]. 11224 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(65,a,9981,a(flip),b,11221,a),flip(a)]. 11225 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11221(a,1),8402(a,1,2))]. 11228 K((x / y) \ z,y) = K(y * (x \ z),y). [para(12(a,1),11223(a,1,1,2,1)),flip(a)]. 11229 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11225(a,1),8426(a,1))]. 11230 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(290,a,5719,a(flip),b,11175,a),flip(a)]. 11231 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5717(a,1),11230(a,1,1)),flip(a)]. 11232 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11231(a,1),9916(a,1,2))]. 11233 K(x,x \ 1) \ ((x \ (y * (1 / x))) * x) = 1 \ (((1 / x) * (x \ T(y,x \ 1))) * x). [para(2560(a,2),11191(a,1,1))]. 11234 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(290,a,11153,a(flip),b,11195,a),flip(a)]. 11235 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(22(a,2),11195(a,2,2,2))]. 11236 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5187(a,1),11198(a,1,1))]. 11237 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(65,a,27,a,b,11236,a)]. 11238 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4393(a,1),11237(a,1,1)),flip(a)]. 11239 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(290,a,29,a(flip),b,11238,a),flip(a)]. 11240 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11239(a,1),1293(a,1,1,1)),flip(a)]. 11241 1 \ (((1 / x) * (x \ T(y,x \ 1))) * x) = K(x \ 1,x) * ((x \ (y * (1 / x))) * x). [hyper(4855,a,11233,a),flip(a)]. 11242 1 \ (((1 / x) * (x \ T(y,x \ 1))) * x) = K(x,x \ 1) * ((x \ (y * (1 / x))) * x). [para(2561(a,1),11241(a,2,1))]. 11243 1 \ (((1 / x) * (x \ T(y,x \ 1))) * x) = (x \ (y * (1 / x))) * ((x \ 1) \ 1). [hyper(290,a,3068,a(flip),b,11242,a),flip(a)]. 11244 1 \ (((x * x) \ T(y,x \ 1)) * x) = (x \ (y * (1 / x))) * ((x \ 1) \ 1). [para(664(a,1),11243(a,1,2,1))]. 11245 (x \ (y * (1 / x))) * ((x \ 1) \ 1) = 1 \ (T(y,x) * (1 / x)). [para(2638(a,1),11244(a,1,2)),flip(a)]. 11246 (x \ (y * (1 / x))) * ((x \ 1) \ 1) = T(y,x) * (1 / x). [hyper(290,a,67,a(flip),b,11245,a),flip(a)]. 11247 (x \ (y * (1 / ((x \ 1) \ 1)))) * x = T(y,x) * (1 / x). [hyper(65,a,9497,a,b,11246,a)]. 11248 (x \ (y * (x \ 1))) * x = T(y,x) * (1 / x). [para(78(a,1),11247(a,1,1,2,2))]. 11250 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(3999(a,1),10780(a,2,2))]. 11251 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(290,a,6137,a(flip),b,11250,a),flip(a)]. 11252 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(65,a,11213,a(flip),b,11251,a),flip(a)]. 11253 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(6064,a,11252,a),flip(a)]. 11256 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1317(a,1),11252(a,1,2))]. 11258 L(T(x,x \ K(x,y)) \ z,x,x \ K(x,y)) = K(x,y) \ ((((y * x) / y) \ 1) * z). [para(105(a,2),11084(a,1,1,1))]. 11259 L(T(x,x \ 1) \ y,x,x \ K(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). [para(7905(a,1),11258(a,1,1,1))]. 11261 (K(x,y * y) * T(x \ z,y * y)) * u = (((y * y) * x) \ z) * ((y * y) * u). [para(621(a,1),10652(a,1,1,2))]. 11262 T(K(x,y * y) * (x \ z),y * y) * u = (((y * y) * x) \ z) * ((y * y) * u). [para(9870(a,2),11261(a,1,1))]. 11263 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9009,a,10660,a)]. 11264 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(1735(a,1),11263(a,1,2,2))]. 11265 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(290,a,7429,a,b,11264,a),flip(a)]. 11266 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11264(a,1),7416(a,1,2)),flip(a)]. 11267 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(524(a,1),11265(a,1,2,2))]. 11269 K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). [para(81(a,1),11267(a,1,2,2,2)),flip(a)]. 11270 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5027(a,2),11267(a,1,2))]. 11271 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5033(a,1),11267(a,1,2)),flip(a)]. 11272 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [hyper(8081,a,11269,a)]. 11273 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8081,a,11271,a)]. 11274 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7462,a,11271,a)]. 11275 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7164(a,1),11271(a,1,2)),flip(a)]. 11276 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),11273(a,2,2,2))]. 11277 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7413,a,11276,a)]. 11278 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(65,a,8050,a(flip),b,11277,a)]. 11280 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11278(a,1),8719(a,1,1))]. 11281 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11278(a,1),8880(a,1,1))]. 11282 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7429(a,1),11281(a,1,1))]. 11284 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(65,a,8348,a(flip),b,11282,a)]. 11285 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(78(a,1),11284(a,1,2,2,2))]. 11286 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7457,a,11280,a)]. 11287 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(78(a,1),11280(a,1,2)),flip(a)]. 11289 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7383(a,1),11286(a,1,1))]. 11290 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7415(a,1),11287(a,2,1))]. 11291 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8721,a,11289,a)]. 11292 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(183,a,11290,a)]. 11293 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(9280(a,1),11291(a,1,1,1,1))]. 11294 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4562,a,11292,a)]. 11295 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(55,a,11294,a)]. 11296 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),11295(a,1,3))]. 11297 a(K(K(x,y),z),u,u \ z) = 1. [para(5311(a,2),11295(a,1,1))]. 11298 a(K(x,K(y,z * u)),z,u) = 1. [para(7383(a,1),11296(a,1,1))]. 11299 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(290,a,7453,a,b,11297,a),flip(a)]. 11300 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(290,a,7388,a(flip),b,11266,a),flip(a)]. 11301 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(65,a,8631,a(flip),b,11300,a)]. 11302 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7162(a,1),11275(a,1,2))]. 11304 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7519(a,1),11301(a,1,2)),flip(a)]. 11305 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(10980(a,1),11302(a,1,2)),flip(a)]. 11306 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8072,a,11305,a)]. 11307 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(12(a,1),11305(a,2,2,2))]. 11308 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(11305(a,1),7443(a,2,2))]. 11309 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(11305(a,1),7444(a,1,2,2))]. 11310 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(65,a,8071,a(flip),b,11306,a),flip(a)]. 11311 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(11307(a,1),8225(a,2,2))]. 11312 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(7415(a,1),11311(a,2,2))]. 11314 (x / y) \ z != y * K(x,K(u,w)) | T(x,K(u,w)) = z. [para(11312(a,1),49(a,1)),flip(a)]. 11315 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7541(a,1),11304(a,1,2)),flip(a)]. 11316 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8068,a,11315,a),flip(a)]. 11317 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(290,a,8189,a(flip),b,11315,a),flip(a)]. 11318 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5033(a,1),11317(a,1,2))]. 11319 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(11318(a,1),4598(a,1,1))]. 11320 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(11308(a,2),738(a,1,2,2)),flip(a)]. 11321 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(8542,a,11309,a)]. 11322 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(11321(a,1),8150(a,1,2))]. 11323 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(7960,a,11316,a),flip(a)]. 11324 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8100,a,11323,a)]. 11325 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(290,a,4471,a(flip),b,11324,a),flip(a)]. 11326 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4543,a,11325,a)]. 11327 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11285(a,1),11299(a,2,2))]. 11328 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(11322(a,1),106(a,1,1)),flip(a)]. 11329 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(11322(a,1),4676(a,1,2,2)),flip(a)]. 11330 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8056,a,11310,a),flip(a)]. 11331 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8072,a,11330,a)]. 11332 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(5049(a,2),11331(a,2,2))]. 11333 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7415(a,2),11327(a,2,2))]. 11334 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5311(a,1),11333(a,1,1))]. 11335 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(290,a,9332,a(flip),b,11334,a)]. 11336 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(290,a,11298,a(flip),b,11335,a),flip(a)]. 11337 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(65,a,9346,a(flip),b,11336,a)]. 11338 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),11337(a,1,2,2,2,3))]. 11339 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(65,a,9534,a,b,11338,a)]. 11340 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(5970,a,11339,a)]. 11342 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(11340(a,1),4602(a,1,1))]. 11343 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(9222(a,1),11342(a,1,2))]. 11344 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(122,a,11343,a)]. 11345 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7428(a,1),11343(a,1,2,1))]. 11346 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(4842,a,11344,a)]. 11347 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(4683,a,11344,a)]. 11348 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6442(a,1),11344(a,1,2))]. 11349 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(11344(a,1),6585(a,1,1)),flip(a)]. 11351 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8588(a,1),11344(a,1,2))]. 11352 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(11344(a,1),9349(a,2,2))]. 11353 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(11344(a,1),9369(a,1,1)),flip(a)]. 11354 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(11344(a,1),9516(a,1,1,2))]. 11355 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(11344(a,1),9595(a,1,3))]. 11357 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(11355(a,1),271(a,1,2))]. 11358 K(x,y) * R(K(y,x),z,u) != w | a(K(y,x),z,u) = w. [para(11346(a,1),4843(a,1,2)),flip(b)]. 11359 (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(11346(a,1),8938(a,1,1)),flip(a)]. 11360 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(11347(a,1),8837(a,2,2))]. 11361 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. [para(8588(a,1),11358(a,1,2))]. 11362 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(4842,a,11349,a)]. 11363 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(9355,a,11353,a)]. 11366 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(11353(a,1),9355(a,1))]. 11367 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(11344(a,1),11354(a,1,2))]. 11369 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(120,a,105,a(flip),b,11367,a)]. 11370 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(65,a,10219,a(flip),b,11362,a)]. 11371 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(11363(a,1),9415(a,1,1,1))]. 11372 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(65,a,9540,a(flip),b,11348,a)]. 11373 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8348(a,1),11345(a,1,2,2))]. 11374 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(9360(a,1),11373(a,1,2))]. 11375 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8539(a,1),11370(a,1,2))]. 11376 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(4770,a,11375,a)]. 11377 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(290,a,10546,a,b,11376,a),flip(a)]. 11378 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(290,a,3607,a(flip),b,11328,a),flip(a)]. 11379 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7109(a,2),11378(a,2,1))]. 11380 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10740(a,1),10893(a,1))]. 11381 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(11380,a,11156,a)]. 11382 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(65,a,10822,a(flip),b,11381,a),flip(a)]. 11383 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(65,a,10821,a(flip),b,11381,a),flip(a)]. 11384 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(65,a,11142,a(flip),b,11382,a)]. 11385 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(65,a,6969,a(flip),b,11384,a)]. 11386 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7031,a,11385,a)]. 11387 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(290,a,10505,a(flip),b,11386,a),flip(a)]. 11388 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(67(a,1),11387(a,2,1))]. 11389 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(11388(a,1),4621(a,1,1,2))]. 11390 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11388(a,1),8403(a,1,1))]. 11391 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5183(a,1),11389(a,1,1))]. 11392 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5094(a,1),11391(a,1,1,1,2))]. 11393 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(290,a,3746,a,b,11392,a),flip(a)]. 11394 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(65,a,25,a,b,11393,a)]. 11395 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5039(a,1),11394(a,1,1)),flip(a)]. 11396 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3756,a,11395,a)]. 11397 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(148,a,11396,a)]. 11398 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11396(a,1),457(a,1,2))]. 11399 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11396(a,1),9712(a,1,2))]. 11400 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(290,a,4621,a,b,11397,a)]. 11402 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11397(a,1),8887(a,1,2,2)),flip(a)]. 11403 R(x,y,L(x,z,u)) != w | R(x,y,x) = w. [para(11400(a,1),5046(a,1))]. 11404 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11189(a,1),11400(a,1,1,2))]. 11405 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10708(a,1),11399(a,1))]. 11406 K(x * L(y,z,u),y) = K(y * x,y). [hyper(290,a,7558,a(flip),b,11402,a),flip(a)]. 11408 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(290,a,8415,a,b,11406,a),flip(a)]. 11409 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(65,a,9207,a(flip),b,11406,a)]. 11410 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(65,a,7322,a(flip),b,11406,a),flip(a)]. 11412 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(65,a,11224,a(flip),b,11410,a)]. 11413 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(7738,a,11412,a)]. 11418 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(290,a,4969,a(flip),b,11409,a),flip(a)]. 11419 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(65,a,9208,a(flip),b,11418,a)]. 11420 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11418(a,1),10477(a,1,1,2))]. 11421 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8901,a,11408,a)]. 11424 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(290,a,11220,a(flip),b,11419,a),flip(a)]. 11425 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(94(a,1),11424(a,1,1,2))]. 11426 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9989,a,11425,a)]. 11427 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(65,a,9992,a(flip),b,11425,a)]. 11428 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(11398(a,1),271(a,1))]. 11429 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(290,a,11223,a(flip),b,11426,a),flip(a)]. 11430 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(65,a,10553,a(flip),b,11429,a)]. 11431 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),11430(a,2,1))]. 11432 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11405,a,11431,a),flip(a)]. 11433 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10908,a,11432,a)]. 11434 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11432(a,1),10908(a,1))]. 11435 K(x,L(y,z / y,u)) = K(x,L(y,z,u)). [hyper(8231,a,11433,a)]. 11436 K(x,L(y,z * y,u)) = K(x,L(y,z,u)). [hyper(8229,a,11433,a),flip(a)]. 11437 K(x,L(y,z / T(y,u),w)) = K(x,L(y,z,w)). [hyper(8228,a,11433,a)]. 11438 K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). [hyper(6197,a,11433,a),flip(a)]. 11439 K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). [hyper(5579,a,11433,a)]. 11440 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(290,a,4810,a,b,11433,a)]. 11442 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(65,a,8789,a,b,11433,a)]. 11443 K(x,L(y,L(y,z,u),w)) = K(x,y). [hyper(65,a,9206,a(flip),b,11433,a),flip(a)]. 11444 K(x,L((y \ z) \ u,u,y)) = K(x,z \ (y * u)). [hyper(65,a,6060,a(flip),b,11433,a),flip(a)]. 11445 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11433(a,1),94(a,1,2))]. 11446 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(11433(a,1),1328(a,1,2,1))]. 11447 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11433(a,2),4471(a,2,2)),flip(a)]. 11448 (x * (y * K(z,u))) * K(u,L(z,y,x)) = x * y. [para(11433(a,1),6867(a,1,2))]. 11449 K(x,L(y,z * y,u)) != w | K(x,L(y,z,u)) = w. [para(11433(a,1),8229(a,1))]. 11450 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11433(a,1),8786(a,1,2))]. 11451 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11433(a,1),8790(a,1,1))]. 11452 K(x,L(T(T(y,z),u * z),z,u)) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(11433(a,1),9141(a,1))]. 11453 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11433(a,1),9493(a,1,3))]. 11454 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11433(a,1),10930(a,1,2))]. 11455 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11433(a,1),10932(a,1,2))]. 11456 K(x,L(y,(z \ 1) * y,u)) = K(x,L(y,1 / z,u)). [para(4275(a,2),11436(a,2,2))]. 11457 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(41,a,5599,a,b,11440,a)]. 11458 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11440(a,1),4831(a,1))]. 11459 L(K(x,y * x),y,z) = K(x,y * x). [hyper(290,a,6093,a(flip),b,11457,a),flip(a)]. 11460 (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). [hyper(65,a,6869,a,b,11457,a)]. 11461 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(65,a,11433,a(flip),b,11457,a),flip(a)]. 11462 (x * (y * K(z,u))) * K(L(u,y,x),z) = x * y. [para(11457(a,1),6867(a,1,2))]. 11463 K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). [para(11457(a,1),8790(a,1,1))]. 11465 K(L(x,y,z),(u * (w \ 1)) \ v5) = K(x,L((u * (1 / w)) \ v5,y,z)). [hyper(65,a,5258,a(flip),b,11461,a)]. 11466 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(273(a,1),11461(a,1,1)),flip(a)]. 11468 1 / (x \ K(y,L(x,z,u))) != w | T(x,L(y,z,u)) = w. [para(11461(a,1),4596(a,1,2,2))]. 11469 K(x,L(y,z,u)) * L(x,z,u) = L(T(x,y),z,u). [para(11461(a,1),4555(a,1,1))]. 11470 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11461(a,1),6735(a,1,2))]. 11472 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11461(a,1),8803(a,1,1))]. 11473 a(x,y,K(z,y * z)) = 1. [hyper(55,a,11459,a)]. 11474 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11461(a,2),11434(a,1))]. 11475 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6073(a,2),11458(a,1))]. 11477 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(8789(a,2),11458(a,1))]. 11478 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11457(a,1),11458(a,1))]. 11480 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7415(a,2),11474(a,1))]. 11482 T(x,L(y,z / T(y,u),w)) = x * K(x,L(y,z,w)). [para(11437(a,1),4471(a,2,2))]. 11483 1 / (x \ K(y \ 1,L(x,z,u))) = T(x,L(y,z,u) \ 1). [para(11439(a,1),4594(a,2,2,2)),flip(a)]. 11484 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11450(a,1),5064(a,2,2))]. 11485 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11450(a,1),5051(a,1,2)),flip(a)]. 11487 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(65,a,8802,a(flip),b,11451,a)]. 11489 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7415(a,2),11487(a,1,3))]. 11490 K(x \ L(x,y,z),T(u,x)) = a(z,y,K(u,x)). [hyper(65,a,10670,a,b,11463,a)]. 11491 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(65,a,8803,a(flip),b,11463,a)]. 11492 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11463(a,1),6737(a,1,1))]. 11493 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [para(8131(a,1),11463(a,1,1))]. 11494 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11491(a,1),8852(a,2,2))]. 11495 K(L(x,y,z) / x,u) = a(z,y,K(u,x)). [hyper(7641,a,11490,a)]. 11496 a(x,y,a(z,u,K(y,w))) = 1. [para(11490(a,1),7199(a,1,3))]. 11497 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7519(a,1),11496(a,1,3,3))]. 11498 K(x \ L(x,y,z),u) = a(z,y,K(u,x)). [para(4356(a,1),11495(a,1,1))]. 11499 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11492(a,1),6752(a,1,1))]. 11500 K(x,L(T(y,z) \ u,u,z)) = K(x,(y * z) \ (z * u)). [para(104(a,1),11438(a,2,2,1))]. 11501 K(x,L(T(y,z) \ u,u,z * y)) = K(x,((y * z) * y) \ ((z * y) * u)). [para(840(a,1),11438(a,2,2,1))]. 11503 (x * y) * K(z,u * u) = x * (y * K(z,u * u)). [para(447(a,1),11445(a,1,2,2))]. 11504 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11445(a,1),4475(a,1))]. 11505 (x * y) * K(y * z,z) = x * (y * K(y * z,z)). [para(6078(a,1),11445(a,1,2))]. 11506 (x * (y * K(z,u))) \ (x * y) != w | K(L(u,y,x),z) = w. [para(11445(a,1),6742(a,1,1))]. 11507 (x * (y / z)) * K(y,L(z,T(y,z) / z,x)) = x * (T(y,z) / z). [para(5754(a,1),11448(a,1,1,2))]. 11508 K(x,L(y \ z,z,u)) != w | K(x,L(y \ z,y,u)) = w. [para(10(a,1),11449(a,1,2,2))]. 11510 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(10149,a,11460,a),flip(a)]. 11511 T(x * (y * K(z,u)),K(L(u,y,x),z)) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). [para(11460(a,1),105(a,1,2))]. 11512 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(11478,a,11510,a)]. 11513 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(3690(a,1),11510(a,1,1))]. 11519 K(x,L(y,1 / z,u)) = K(x,L(y,z \ 1,u)). [hyper(11449,a,11456,a),flip(a)]. 11520 K(K(x,L(y,z,u)),w) * ((v5 / T(y,L(x,z,u))) / (v5 / y)) = T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))). [para(11470(a,1),4752(a,1,2,1))]. 11521 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(37,a,11451,a,b,11472,a)]. 11522 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(10(a,1),11521(a,1,2,2))]. 11523 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10907(a,1),11522(a,2,2))]. 11524 T(x,L(y,z / T(y,u),w)) = T(x,L(y,z,w)). [hyper(290,a,4471,a,b,11482,a),flip(a)]. 11525 T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). [para(254(a,1),11524(a,1,2,2))]. 11526 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(65,a,9411,a,b,11485,a)]. 11527 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11272(a,1),11489(a,1,3))]. 11528 x * (T(T(y,x),z) * K(u,w * w)) = (T(y,z) * x) * K(u,w * w). [para(225(a,1),11503(a,1,1)),flip(a)]. 11529 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11526(a,1),4516(a,1,1))]. 11530 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11526(a,1),4625(a,1,1))]. 11531 K(x,y / ((z * (1 / u)) * K(w,L(v5,z,1 / u)))) = K(x,y / ((u \ 1) * (T(z,1 / u) * K(w,v5)))). [para(11454(a,2),5262(a,1,2,2))]. 11534 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(8795(a,1),11499(a,1))]. 11535 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(11468,a,11483,a)]. 11536 T(x,L((y \ z) \ 1,y,y)) = T(x,((1 / y) * z) \ 1). [para(663(a,1),11535(a,2,2,1))]. 11537 T(x,L((y \ z) \ 1,y,y)) = T(x,((y \ 1) * z) \ 1). [hyper(290,a,4119,a(flip),b,11536,a),flip(a)]. 11538 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(65,a,11470,a(flip),b,11484,a)]. 11539 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(3775(a,1),11538(a,1,1))]. 11540 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11494(a,1),8647(a,2,2))]. 11541 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(6869(a,1),11506(a,1))]. 11545 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11475,a,10288,a)]. 11546 (x * (y / z)) * K(y,L(z,T(y,z),x)) = x * (T(y,z) / z). [para(11435(a,1),11507(a,1,2))]. 11547 (x * (y / z)) * K(y,z) = x * (T(y,z) / z). [para(10900(a,1),11546(a,1,2))]. 11549 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5882(a,1),11420(a,1,1,2)),flip(a)]. 11550 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(290,a,5724,a(flip),b,11549,a),flip(a)]. 11551 (x \ (L(x,y,x) * z)) * x = z * L(x,y,x). [hyper(290,a,9702,a(flip),b,11550,a),flip(a)]. 11552 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1313(a,1),11550(a,1,1))]. 11553 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11552(a,1),10557(a,2,2))]. 11554 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(290,a,5726,a,b,11553,a),flip(a)]. 11555 K(x,L((y * (1 / z)) \ u,w,v5)) = K(x,L((y * (z \ 1)) \ u,w,v5)). [hyper(11478,a,11465,a),flip(a)]. 11557 x * (T(T(y,x),z) * K(u,w * w)) = T(y,z) * (x * K(u,w * w)). [hyper(290,a,11503,a(flip),b,11528,a),flip(a)]. 11558 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(65,a,11142,a(flip),b,11383,a)]. 11559 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(65,a,11222,a(flip),b,11558,a)]. 11560 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(290,a,10600,a(flip),b,11559,a),flip(a)]. 11561 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7031,a,11560,a)]. 11562 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(65,a,11388,a(flip),b,11561,a),flip(a)]. 11563 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(65,a,10600,a,b,11562,a)]. 11564 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(65,a,10504,a,b,11562,a)]. 11565 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(65,a,8236,a(flip),b,11562,a),flip(a)]. 11566 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(65,a,10505,a,b,11564,a)]. 11567 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(65,a,11545,a(flip),b,11566,a),flip(a)]. 11568 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(290,a,11427,a(flip),b,11565,a),flip(a)]. 11569 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5187(a,1),11404(a,1,1))]. 11570 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5094(a,1),11569(a,1,1,1,2))]. 11571 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(65,a,27,a,b,11570,a)]. 11572 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5039(a,1),11571(a,1,1)),flip(a)]. 11573 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(11403,a,11572,a)]. 11574 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11572(a,1),9391(a,1,2))]. 11575 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11573(a,1),501(a,1,1)),flip(a)]. 11576 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(290,a,100,a(flip),b,11575,a),flip(a)]. 11577 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(8956(a,1),11576(a,1,1,1)),flip(a)]. 11578 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(4811(a,1),11446(a,1,2))]. 11579 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(11461(a,1),11578(a,1,2,1))]. 11580 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4492(a,1),11579(a,1,2))]. 11581 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11485(a,1),11580(a,1,2)),flip(a)]. 11582 T(x * (y * K(z,u)),K(z,L(u,y,x))) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). [hyper(7498,a,11511,a)]. 11583 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(65,a,11563,a(flip),b,11523,a),flip(a)]. 11584 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11554(a,1),11540(a,1,2))]. 11585 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(9873,a,11584,a),flip(a)]. 11586 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(290,a,11463,a(flip),b,11585,a),flip(a)]. 11587 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(309,a,11586,a),flip(a)]. 11589 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(9(a,1),11587(a,1,3,1)),flip(a)]. 11590 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4578(a,1),11587(a,1,3)),flip(a)]. 11591 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4580(a,1),11587(a,1,3)),flip(a)]. 11592 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5206(a,1),11587(a,1,3))]. 11593 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10816(a,2),11587(a,1,3))]. 11594 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(y * x,y)). [hyper(290,a,11450,a,b,11589,a)]. 11595 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11589(a,2),9080(a,1,1))]. 11596 a(x,y,K(x * z,z)) = 1. [hyper(290,a,9676,a(flip),b,11590,a),flip(a)]. 11597 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(11590(a,1),11581(a,2,2,2))]. 11598 L(K(x * y,y),z,x) = K(x * y,y). [hyper(54,a,11596,a)]. 11599 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11598(a,1),7148(a,2,1))]. 11600 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9085,a,11595,a)]. 11601 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(10(a,1),11600(a,1,3,2)),flip(a)]. 11602 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(65,a,11591,a,b,11601,a)]. 11603 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5828(a,1),11602(a,1,3)),flip(a)]. 11604 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(65,a,11592,a,b,11603,a)]. 11605 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10049(a,1),11599(a,1,2,2))]. 11606 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(65,a,7111,a(flip),b,11605,a),flip(a)]. 11607 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(65,a,8443,a(flip),b,11606,a),flip(a)]. 11608 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(8440(a,1),11607(a,1,2)),flip(a)]. 11609 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(308,a,11608,a),flip(a)]. 11610 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(290,a,11568,a(flip),b,11583,a),flip(a)]. 11611 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11475,a,11610,a)]. 11612 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(65,a,11563,a(flip),b,11611,a)]. 11613 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(65,a,11567,a(flip),b,11612,a)]. 11614 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(22(a,2),11613(a,2,1,2))]. 11615 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(65,a,11228,a(flip),b,11614,a)]. 11616 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11615(a,1),10414(a,1,1,2,2))]. 11617 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(290,a,4736,a(flip),b,11597,a),flip(a)]. 11618 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(7347,a,11513,a),flip(a)]. 11619 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(290,a,10433,a(flip),b,11618,a),flip(a)]. 11621 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(290,a,7527,a(flip),b,11619,a),flip(a)]. 11623 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(7656(a,1),10742(a,1,2))]. 11624 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7411(a,1),11623(a,1,2))]. 11626 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(11624(a,1),7312(a,1,2,2))]. 11627 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(65,a,7890,a(flip),b,11626,a),flip(a)]. 11629 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(290,a,7815,a(flip),b,11627,a),flip(a)]. 11631 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(65,a,9191,a(flip),b,11629,a),flip(a)]. 11632 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(7864(a,1),11631(a,1,2,2))]. 11633 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(65,a,7334,a(flip),b,11632,a),flip(a)]. 11635 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(65,a,5265,a(flip),b,11633,a)]. 11636 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(65,a,9245,a,b,11635,a)]. 11637 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(w,u)))). [para(11635(a,2),8036(a,2,2))]. 11639 K(x,K(y,z * (u \ K(w,y)))) = K(x,K(y,z * (u \ 1))). [hyper(8059,a,11637,a),flip(a)]. 11640 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(7283(a,1),11639(a,1,2))]. 11641 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(251(a,1),11640(a,2,2,2))]. 11642 K(x,K(y,R(z,u,u \ K(w,x)))) = K(z,K(x,R(y,u,u \ 1))). [hyper(65,a,8351,a,b,11641,a)]. 11643 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(z,R(y,u,u \ 1))). [hyper(290,a,7411,a,b,11642,a),flip(a)]. 11644 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(y,z)). [hyper(290,a,11264,a(flip),b,11643,a),flip(a)]. 11646 (K(x,K(y,z)) * u) * (u \ K(w,z)) = K(w,z) * K(z,K(x,y)). [para(11644(a,1),8946(a,1,2)),flip(a)]. 11647 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [hyper(290,a,7421,a(flip),b,11646,a),flip(a)]. 11649 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(7415(a,2),11647(a,1,1,1))]. 11650 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(121,a,7109,a,b,11649,a)]. 11651 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(81(a,1),11650(a,1,2)),flip(a)]. 11652 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(7457,a,11651,a)]. 11653 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(11652(a,1),6811(a,1,1)),flip(a)]. 11654 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(7385(a,2),11653(a,2,2))]. 11655 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(36,a,8777,a,b,11654,a)]. 11656 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [hyper(65,a,11152,a(flip),b,11655,a)]. 11658 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [hyper(65,a,9400,a,b,11656,a)]. 11660 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [hyper(141,a,11658,a)]. 11661 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(67(a,1),11065(a,2,1,2,2,1,2))]. 11662 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),11661(a,2,1,2))]. 11663 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(11662(a,2),7641(a,1))]. 11664 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(290,a,11360,a(flip),b,11359,a),flip(a)]. 11665 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(11357,a,11664,a)]. 11666 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(4837(a,1),11665(a,1,2))]. 11667 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7514(a,1),11666(a,1,1,1)),flip(a)]. 11668 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(230,a,11667,a),flip(a)]. 11680 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(290,a,11097,a(flip),b,9944,a),flip(a)]. 11681 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4059(a,1),11680(a,2,2))]. 11682 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(290,a,8144,a(flip),b,11681,a),flip(a)]. 11683 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(290,a,8086,a(flip),b,11682,a),flip(a)]. 11684 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(10892,a,11683,a),flip(a)]. 11685 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(290,a,11066,a,b,11684,a)]. 11687 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(290,a,4186,a,b,11684,a)]. 11688 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11685(a,1),4491(a,2,1)),flip(a)]. 11689 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(65,a,8616,a(flip),b,11688,a),flip(a)]. 11690 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11689(a,2),5295(a,1,2))]. 11691 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(268,a,11690,a)]. 11692 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9774(a,1),10502(a,2,2,1))]. 11694 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(9906(a,1),11692(a,2,2))]. 11695 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(476,a,11694,a),flip(a)]. 11696 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(492(a,1),11371(a,1,1)),flip(a)]. 11697 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(290,a,8541,a(flip),b,11696,a),flip(a)]. 11698 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7385(a,1),11697(a,1,2,1,1))]. 11699 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8347(a,1),11698(a,1,2,1))]. 11700 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4491(a,2),11699(a,1,2))]. 11701 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(65,a,8632,a,b,11700,a)]. 11702 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7417(a,1),11701(a,1,1))]. 11703 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(9327,a,11702,a)]. 11704 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(65,a,11352,a(flip),b,11703,a),flip(a)]. 11705 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(36,a,4471,a(flip),b,11704,a),flip(a)]. 11706 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(11366,a,11705,a)]. 11707 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(11706(a,1),11374(a,1,2))]. 11708 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(122,a,11707,a),flip(a)]. 11709 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(290,a,11705,a,b,11708,a),flip(a)]. 11710 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7411(a,1),11708(a,1,1))]. 11711 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7411(a,1),11709(a,1,1))]. 11712 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(451(a,1),9886(a,1,2)),flip(a)]. 11713 (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(4437(a,1),10162(a,1,1))]. 11714 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(733,a,11713,a),flip(a)]. 11716 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(65,a,10482,a(flip),b,11714,a),flip(a)]. 11717 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4726(a,1),11714(a,1,2)),flip(a)]. 11719 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10658(a,1),11716(a,2,2,2))]. 11720 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),11719(a,2,2,2,1))]. 11721 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),11720(a,2,2))]. 11723 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(290,a,8908,a(flip),b,11721,a),flip(a)]. 11724 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(65,a,11717,a(flip),b,11723,a),flip(a)]. 11725 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11723(a,1),3988(a,1))]. 11727 (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(5531(a,1),11182(a,1,1))]. 11728 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(3828(a,1),11232(a,1,2,1)),flip(a)]. 11729 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7181(a,1),11235(a,2,2))]. 11730 (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(7511(a,1),11727(a,1,1,2))]. 11731 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(10149,a,11730,a),flip(a)]. 11732 R(K(x,y),L(y,z,u),w) = K(x,y). [para(11512(a,1),11731(a,1,1))]. 11733 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(65,a,6286,a(flip),b,11732,a)]. 11735 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(290,a,5934,a(flip),b,11733,a),flip(a)]. 11736 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(65,a,11621,a,b,11735,a)]. 11737 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11736(a,1),7734(a,1))]. 11738 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11737,a,11418,a)]. 11739 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(5191,a,10057,a),flip(a)]. 11740 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(4618(a,1),11739(a,1,2)),flip(a)]. 11742 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(290,a,6206,a(flip),b,10350,a),flip(a)]. 11743 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4787(a,1),10450(a,1,1))]. 11744 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(8959(a,1),10451(a,1,1)),flip(a)]. 11745 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7135(a,1),11744(a,2,2))]. 11747 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(65,a,11695,a(flip),b,11745,a),flip(a)]. 11749 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(23(a,1),11747(a,1,1,2))]. 11750 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(290,a,1293,a(flip),b,11240,a),flip(a)]. 11751 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),11750(a,2,3))]. 11752 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(4757(a,2),11293(a,1,1))]. 11753 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7626,a,11752,a)]. 11754 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(65,a,11274,a(flip),b,11753,a)]. 11755 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),11754(a,1,2,2)),flip(a)]. 11756 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11755(a,1),7384(a,1))]. 11757 K(x,y / ((z \ 1) * (T(u,1 / z) * K(w,v5)))) = K(x,y / ((u * (1 / z)) * K(w,L(v5,u,z)))). [para(1844(a,1),11531(a,1,2,2,2,2)),flip(a)]. 11775 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7428(a,1),11742(a,2,1))]. 11776 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7708(a,1),11775(a,2,2))]. 11777 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(290,a,9338,a(flip),b,11776,a),flip(a)]. 11779 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6727(a,1),11777(a,1,2,1))]. 11780 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8474(a,1),11779(a,1,2))]. 11782 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11780(a,1),9251(a,1,2))]. 11783 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(65,a,10987,a,b,11782,a)]. 11784 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(11135(a,1),11783(a,1,1))]. 11785 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(9366,a,11784,a),flip(a)]. 11786 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(11785(a,1),9050(a,1,1)),flip(a)]. 11787 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(65,a,9176,a(flip),b,11786,a),flip(a)]. 11788 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10582(a,1),11787(a,1,1)),flip(a)]. 11790 (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(9109(a,1),10103(a,1,2))]. 11791 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1055,a,11790,a)]. 11792 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(290,a,4811,a(flip),b,11791,a),flip(a)]. 11793 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(65,a,10166,a,b,11792,a)]. 11794 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3537,a,11793,a),flip(a)]. 11795 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7646,a,11794,a),flip(a)]. 11797 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7639,a,11795,a),flip(a)]. 11799 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(11797(a,1),8965(a,1,1))]. 11800 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(4955,a,11799,a)]. 11801 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(8956(a,1),11799(a,1,2,2))]. 11802 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11800(a,1),8914(a,1))]. 11803 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10463(a,1),11801(a,1,2))]. 11804 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(4844,a,11803,a),flip(a)]. 11805 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11802,a,11804,a)]. 11807 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11805(a,1),9454(a,1,1)),flip(a)]. 11808 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(265,a,11807,a),flip(a)]. 11810 (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(290,a,8565,a,b,11808,a)]. 11812 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(290,a,9849,a,b,10207,a),flip(a)]. 11814 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(290,a,9849,a,b,10208,a),flip(a)]. 11816 T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),y) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,y))). [para(7476(a,1),11116(a,1,1))]. 11817 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4492(a,1),11812(a,2,1))]. 11818 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(290,a,10562,a(flip),b,11817,a),flip(a)]. 11819 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3662(a,2),11818(a,1,2))]. 11820 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(10202(a,1),11819(a,1,2,1))]. 11821 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3657(a,2),11820(a,1,2,1))]. 11823 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4492(a,1),11814(a,2,1))]. 11824 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10141(a,1),10051(a,1,1,2))]. 11825 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(9935(a,1),11824(a,1,1))]. 11826 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(27(a,2),11825(a,1,2))]. 11827 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(260(a,1),11826(a,1,2,1))]. 11828 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(65,a,8620,a(flip),b,11827,a)]. 11829 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(65,a,10196,a(flip),b,11828,a)]. 11831 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(65,a,10427,a(flip),b,11829,a),flip(a)]. 11832 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9826(a,1),11831(a,2,2))]. 11833 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(290,a,3764,a(flip),b,11832,a),flip(a)]. 11834 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9962(a,1),11833(a,1,1,1))]. 11835 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10141(a,1),11834(a,1,1)),flip(a)]. 11836 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11835(a,1),4802(a,1))]. 11837 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(10538(a,1),10540(a,1,2,1,1)),flip(a)]. 11838 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(290,a,3007,a(flip),b,11837,a),flip(a)]. 11840 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1200(a,1),11838(a,2,1))]. 11841 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1200(a,1),11840(a,1,1))]. 11842 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(11841(a,1),11492(a,1,2,2))]. 11843 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),11332(a,1,2,2,2)),flip(a)]. 11844 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(8750(a,1),11539(a,1,2))]. 11845 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(3696(a,1),11844(a,1,2)),flip(a)]. 11846 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(23(a,1),11845(a,2,2))]. 11847 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(290,a,9705,a(flip),b,11846,a),flip(a)]. 11848 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11461(a,1),11847(a,2,1))]. 11849 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(290,a,9680,a(flip),b,11848,a),flip(a)]. 11850 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7140(a,1),11849(a,1,2,3))]. 11851 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3619(a,1),11850(a,1,2,3))]. 11852 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(65,a,11617,a,b,11851,a)]. 11853 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11433(a,1),11852(a,1,1))]. 11854 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3428(a,1),11853(a,1,2)),flip(a)]. 11855 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(290,a,4811,a(flip),b,11854,a),flip(a)]. 11856 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11461(a,1),11855(a,2,1))]. 11857 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(290,a,4491,a,b,11856,a),flip(a)]. 11858 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(65,a,11530,a,b,11857,a)]. 11859 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),11740(a,2,1,1))]. 11860 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(290,a,8654,a(flip),b,11859,a),flip(a)]. 11862 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),11860(a,1,1,1))]. 11863 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),11862(a,1,2,2))]. 11864 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5587(a,1),11863(a,1,2,1,3))]. 11865 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(501(a,1),9946(a,1,2)),flip(a)]. 11866 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(9948,a,11865,a),flip(a)]. 11868 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11576(a,1),11866(a,1,2))]. 11869 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(65,a,10409,a(flip),b,11868,a)]. 11870 T(T(T(x,y) / y,y \ 1),(1 / y) \ y) = (((y \ 1) \ 1) \ (((y \ 1) \ 1) \ x)) * ((y \ 1) \ 1). [para(5369(a,1),10475(a,1,2))]. 11871 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(10764(a,1),10772(a,1,2,1,1))]. 11872 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(65,a,10414,a(flip),b,11871,a),flip(a)]. 11873 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(10158,a,11872,a),flip(a)]. 11874 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7640,a,11873,a)]. 11875 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(10081,a,11874,a),flip(a)]. 11876 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11875(a,1),10840(a,1,1))]. 11877 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(65,a,10839,a(flip),b,11876,a)]. 11878 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(10969,a,11877,a),flip(a)]. 11879 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(65,a,6571,a(flip),b,11878,a),flip(a)]. 11880 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(20(a,2),11879(a,1,2,1)),flip(a)]. 11881 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(530(a,1),11880(a,2,2,1))]. 11882 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5093(a,1),11880(a,1,1)),flip(a)]. 11883 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5828(a,1),11880(a,1,1)),flip(a)]. 11884 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11178(a,1),11880(a,1,1))]. 11885 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(65,a,5257,a,b,11882,a)]. 11886 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11883(a,1),11884(a,1,1)),flip(a)]. 11887 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5257(a,1),11881(a,1,1))]. 11888 (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(4811(a,1),10323(a,1,1,2,2))]. 11889 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(65,a,9808,a(flip),b,10396,a),flip(a)]. 11890 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7413,a,11889,a)]. 11892 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10054(a,1),11890(a,1,2))]. 11893 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(10818,a,11892,a)]. 11894 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(10501(a,1),11810(a,1,1,2))]. 11895 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(626(a,1),11894(a,1,1))]. 11896 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(227(a,1),11895(a,1,2)),flip(a)]. 11897 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(290,a,1293,a(flip),b,11896,a),flip(a)]. 11898 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),11897(a,2,3))]. 11899 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(65,a,11808,a(flip),b,11898,a)]. 11900 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(65,a,11805,a(flip),b,11899,a)]. 11902 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(65,a,11724,a(flip),b,11900,a),flip(a)]. 11904 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(65,a,11751,a,b,11902,a)]. 11905 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10381,a,11904,a)]. 11907 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11905(a,1),11728(a,1,2)),flip(a)]. 11908 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(22(a,2),11907(a,2,2,2))]. 11909 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(8943(a,1),11908(a,2,2))]. 11910 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(65,a,11574,a(flip),b,11909,a)]. 11911 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(448(a,1),11910(a,1,2,3))]. 11912 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10244,a,11911,a)]. 11913 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(65,a,11869,a,b,11912,a)]. 11914 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(65,a,11905,a(flip),b,11912,a),flip(a)]. 11915 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(10(a,1),11913(a,1,2)),flip(a)]. 11916 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11915(a,1),8912(a,1,2)),flip(a)]. 11917 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11915(a,1),10466(a,1,2)),flip(a)]. 11918 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(65,a,8956,a(flip),b,11916,a),flip(a)]. 11919 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11914(a,1),8945(a,1,1))]. 11920 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(65,a,10687,a(flip),b,11919,a)]. 11921 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10342(a,1),11918(a,1,2,1)),flip(a)]. 11922 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(290,a,11917,a,b,11921,a),flip(a)]. 11924 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(11922(a,1),11577(a,2,1,1))]. 11925 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(11788(a,1),11924(a,2,1))]. 11927 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11915(a,1),11925(a,2,1,1))]. 11928 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8154(a,1),11927(a,1,1,1))]. 11930 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10560(a,1),11928(a,1,1))]. 11931 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10291(a,1),11930(a,1,1)),flip(a)]. 11932 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(120,a,11931,a(flip),b,734,a)]. 11934 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(10883,a,11932,a),flip(a)]. 11935 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10221(a,1),11934(a,2,2))]. 11937 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(290,a,10224,a(flip),b,11935,a),flip(a)]. 11939 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(54,a,11937,a)]. 11940 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(11939(a,1),10939(a,1,2))]. 11941 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10275(a,1),11940(a,1,1,2,1))]. 11942 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(510,a,11941,a),flip(a)]. 11944 R(a(x,y,x),z,u) = a(x,y,x). [hyper(36,a,10218,a(flip),b,11942,a),flip(a)]. 11945 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(65,a,498,a,b,11944,a)]. 11946 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(65,a,11913,a(flip),b,11944,a)]. 11947 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(65,a,10655,a(flip),b,11944,a),flip(a)]. 11948 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(11944(a,1),100(a,1,1)),flip(a)]. 11949 a(x,y,x) \ (z * u) = (a(x,y,x) \ z) * u. [para(11944(a,1),490(a,1,1))]. 11952 L(x,y,a(z,u,z)) = x. [para(11944(a,1),11939(a,1,3))]. 11953 a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u. [hyper(1088,a,11952,a)]. 11954 (x * a(y,z,y)) \ u = x \ (a(y,z,y) \ u). [hyper(65,a,10246,a(flip),b,11952,a)]. 11955 L(x,y,a(z,u,z)) != w | w = x. [para(11952(a,1),52(a,1)),flip(a)]. 11956 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(11952(a,1),544(a,1,2))]. 11957 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(11952(a,1),454(a,1,2,1)),flip(a)]. 11958 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(11952(a,1),10245(a,1,2))]. 11961 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(290,a,11421,a,b,11946,a),flip(a)]. 11962 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(11946(a,1),11920(a,1,2)),flip(a)]. 11963 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11725,a,11961,a),flip(a)]. 11965 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5183(a,1),11947(a,1,2)),flip(a)]. 11966 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(11948(a,1),14(a,2,1,2)),flip(a)]. 11967 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(11948(a,1),14(a,2,1)),flip(a)]. 11968 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(11948(a,1),18(a,2,1)),flip(a)]. 11970 a(x,y,x) * (L(x,y,x) * z) = x * z. [para(8448(a,1),11953(a,1,2,1))]. 11972 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4477,a,11958,a)]. 11974 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(22(a,1),11963(a,1,2))]. 11975 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(290,a,8430,a(flip),b,11962,a),flip(a)]. 11977 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10688,a,11975,a),flip(a)]. 11978 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(65,a,11234,a,b,11974,a)]. 11979 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(65,a,10895,a(flip),b,11977,a)]. 11980 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(65,a,9487,a(flip),b,11979,a)]. 11984 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(65,a,10713,a(flip),b,11980,a)]. 11988 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(65,a,11864,a(flip),b,11984,a),flip(a)]. 11989 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10239(a,1),11945(a,1,1,1))]. 11990 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(11972(a,2),45(a,1))]. 11991 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(65,a,9267,a(flip),b,11965,a)]. 11992 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(65,a,11729,a(flip),b,11978,a),flip(a)]. 11994 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(65,a,11886,a(flip),b,11988,a)]. 11995 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6473(a,1),11994(a,1,1))]. 11998 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(11995(a,2),4810(a,1,1))]. 12001 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(11995(a,1),10548(a,1,1,1,2))]. 12002 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(6457,a,11998,a)]. 12003 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(11998(a,1),6457(a,1))]. 12004 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(65,a,11995,a(flip),b,12002,a)]. 12005 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(251(a,2),12002(a,2,2)),flip(a)]. 12009 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12002(a,1),11344(a,1,2))]. 12010 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12002(a,1),11377(a,2,1,2))]. 12011 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6541,a,12004,a),flip(a)]. 12014 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(11361,a,12009,a)]. 12015 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12014(a,2),11709(a,2,1)),flip(a)]. 12016 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(10991,a,12005,a)]. 12017 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(65,a,11711,a,b,12015,a)]. 12022 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(65,a,8554,a(flip),b,12016,a),flip(a)]. 12023 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(65,a,12002,a(flip),b,12022,a)]. 12024 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(524(a,1),12023(a,1,2)),flip(a)]. 12025 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,L(x,y,y \ 1)). [para(12023(a,1),9253(a,2,2))]. 12026 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(12023(a,1),11265(a,1,2))]. 12027 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(1849(a,1),12026(a,1,2,2))]. 12028 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,w \ 1,w))). [para(12027(a,2),11312(a,2,2))]. 12029 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(11434,a,12024,a)]. 12030 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(65,a,12004,a(flip),b,12011,a)]. 12032 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [hyper(11314,a,12028,a)]. 12033 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(479(a,1),12032(a,1,2,2)),flip(a)]. 12034 T(T(x,K(y,z * u)),y * ((z \ 1) \ u)) = T(x,((z \ 1) \ u) * y). [para(12033(a,1),11000(a,1,1))]. 12036 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11836,a,12001,a)]. 12037 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12036(a,1),202(a,1))]. 12039 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(11995(a,1),12037(a,1))]. 12040 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4471(a,2),12010(a,2,1))]. 12042 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(100(a,1),11989(a,1,1))]. 12043 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(11948(a,1),11968(a,1,2))]. 12044 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(868,a,12043,a)]. 12045 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(11955,a,12044,a)]. 12046 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(8410(a,1),12044(a,2,3))]. 12049 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(10(a,1),12045(a,1,3)),flip(a)]. 12050 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(8418(a,1),12045(a,1,3))]. 12051 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(8395(a,1),12045(a,1,3))]. 12052 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(10218(a,1),12045(a,1,3))]. 12053 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(8394(a,1),12049(a,1,3))]. 12054 L(x,y,L(z,u,z)) = L(x,y,z). [para(8448(a,1),12049(a,1,3))]. 12055 L(x,y,T(z / u,z)) = L(x,y,u \ z). [para(3735(a,1),12054(a,1,3))]. 12056 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(10(a,1),12050(a,1,3,1)),flip(a)]. 12057 L(x,y \ z,K(y,z)) = x. [hyper(4918,a,12051,a),flip(a)]. 12059 (K(x,y) * (x \ y)) \ z = (x \ y) \ (K(y,x) * z). [hyper(65,a,4846,a(flip),b,12057,a)]. 12060 L(x,y / z,K(y,z)) = x. [hyper(7213,a,12053,a)]. 12061 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12060(a,1),4936(a,1,2)),flip(a)]. 12062 L(x,y,y / z) = L(x,y,z \ y). [hyper(10945,a,12055,a)]. 12063 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(4842,a,12061,a)]. 12064 R(K(x,y),x \ y,z) = K(x,y). [hyper(8600,a,12063,a)]. 12065 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),12064(a,1,2))]. 12067 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(65,a,11882,a,b,12065,a)]. 12068 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12067(a,1),4471(a,2,2))]. 12069 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12067(a,1),11887(a,1,1))]. 12070 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(290,a,4471,a,b,12068,a),flip(a)]. 12071 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(65,a,4218,a(flip),b,12070,a)]. 12072 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(12(a,1),12071(a,1,2,1,2))]. 12073 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(65,a,10109,a,b,12072,a)]. 12074 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(290,a,4471,a(flip),b,12073,a)]. 12075 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(36,a,4471,a(flip),b,12074,a)]. 12076 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(10081,a,12075,a)]. 12077 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12075(a,1),7573(a,1,1,2))]. 12078 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12076(a,1),6276(a,1,1))]. 12080 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7977,a,12077,a),flip(a)]. 12081 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(65,a,9965,a(flip),b,12080,a)]. 12082 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10509,a,12081,a)]. 12083 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(65,a,6276,a(flip),b,12078,a),flip(a)]. 12084 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(290,a,12076,a(flip),b,12069,a),flip(a)]. 12086 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),12084(a,2,2,2))]. 12087 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12037,a,12086,a)]. 12088 L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. [para(12046(a,1),11955(a,1)),flip(b)]. 12091 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(11948(a,1),11957(a,2,1))]. 12092 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(290,a,11956,a(flip),b,12091,a),flip(a)]. 12093 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(11952(a,1),12091(a,1,2)),flip(a)]. 12094 (((x * y) * z) * a(u,w,u)) / (y * z) = R(a(u,w,u) * x,y,z). [para(10218(a,1),12093(a,1,1))]. 12095 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(20(a,2),12092(a,2,2))]. 12096 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(11952(a,1),12095(a,1,2))]. 12097 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(11948(a,1),11967(a,1,2,1))]. 12098 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4626(a,1),11991(a,2,2))]. 12099 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8425,a,12098,a)]. 12100 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(11948(a,1),12097(a,1,2))]. 12101 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(869,a,12100,a)]. 12102 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(11955,a,12101,a)]. 12103 a(a(x,y,x) * z,u,w) != v5 | a(z,u,w) = v5. [para(12101(a,1),11955(a,1)),flip(b)]. 12105 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(10(a,1),12102(a,1,1)),flip(a)]. 12106 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(8395(a,1),12102(a,1,1))]. 12107 a(L(x,y,x) * z,u,w) = a(x * z,u,w). [para(11970(a,1),12102(a,1,1)),flip(a)]. 12108 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(8394(a,1),12105(a,1,1))]. 12109 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(8427(a,1),12105(a,1,1))]. 12110 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(4580(a,1),12108(a,1,1)),flip(a)]. 12112 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(290,a,12106,a(flip),b,12110,a),flip(a)]. 12113 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5828(a,1),12112(a,1,1)),flip(a)]. 12114 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(65,a,12109,a,b,12113,a)]. 12115 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3257(a,1),12114(a,1,1)),flip(a)]. 12116 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11102(a,2),12114(a,2,1)),flip(a)]. 12117 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(65,a,11348,a,b,12115,a)]. 12119 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12004(a,1),12115(a,2,1))]. 12121 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(65,a,11372,a,b,12119,a)]. 12122 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(65,a,12115,a(flip),b,12119,a)]. 12123 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6486(a,1),12116(a,2,1))]. 12124 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(290,a,12114,a(flip),b,12123,a),flip(a)]. 12125 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11102(a,1),12124(a,1,1))]. 12126 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(290,a,12122,a(flip),b,12125,a),flip(a)]. 12127 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12117(a,1),12121(a,1,1)),flip(a)]. 12134 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K(y,L(x,y,y \ 1)). [para(3257(a,1),12025(a,2,2))]. 12135 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K(y,x). [para(6697(a,1),12134(a,2,2))]. 12136 (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = y * x. [hyper(290,a,89,a(flip),b,12135,a),flip(a)]. 12139 (R(x,y,y) \ (x * y)) * R(x,y,y \ 1) = y * x. [para(788(a,1),12136(a,1,1,1))]. 12140 (R(x,y,y) \ (x * y)) * R(x,y,y) = y * x. [para(788(a,1),12139(a,1,2))]. 12142 (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(4740(a,1),11888(a,1,1,2))]. 12143 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10703(a,1),12142(a,1,2))]. 12144 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8234(a,1),12143(a,1,2))]. 12146 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(4811(a,1),12144(a,2,2,1,1))]. 12147 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7483(a,1),12146(a,2,2,1))]. 12148 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7935(a,2),12147(a,2,2))]. 12149 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),12148(a,2,2,1))]. 12150 ((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(12149(a,1),5536(a,1,1,2))]. 12151 K(x,K(L(y,z,u),w)) * ((v5 / T(y,L(x,z,u))) / (v5 / y)) = T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))). [para(7385(a,1),11520(a,1,1))]. 12152 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(65,a,9917,a(flip),b,11712,a)]. 12153 K(x,K(y,L(z,u,w))) * ((v5 / T(y,L(x,u,w))) / (v5 / y)) = T(K(x,L(y,u,w)),z) * K(v5 / y,K(x,L(y,u,w))). [para(8128(a,1),12151(a,1,1))]. 12154 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(10664,a,12152,a(flip)),flip(a)]. 12155 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(8398(a,1),12154(a,1,2))]. 12156 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12(a,1),12155(a,1,1,2))]. 12157 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(7385(a,1),11319(a,1,2,1,2))]. 12158 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(8034(a,1),12157(a,1,2,1,2))]. 12159 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(7420(a,1),12158(a,1,2,1,2))]. 12160 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(7502(a,1),12159(a,1,2,1,2))]. 12161 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(4644(a,2),12160(a,1,2,1))]. 12162 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(5409,a,12161,a)]. 12163 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(8053(a,1),12162(a,1,1)),flip(a)]. 12164 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(1369(a,1),12163(a,2,2))]. 12165 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(290,a,7456,a(flip),b,12164,a),flip(a)]. 12166 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(290,a,6370,a(flip),b,12165,a),flip(a)]. 12167 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1200(a,1),12166(a,1,1))]. 12168 (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(12167(a,1),9556(a,1,2))]. 12169 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(9557,a,12168,a),flip(a)]. 12170 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(290,a,7415,a,b,12169,a),flip(a)]. 12171 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(65,a,11755,a(flip),b,12170,a)]. 12172 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(290,a,7411,a,b,12171,a),flip(a)]. 12173 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11756,a,12172,a)]. 12174 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(65,a,11843,a,b,12173,a)]. 12175 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(290,a,11893,a(flip),b,12174,a),flip(a)]. 12176 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7635,a,12175,a)]. 12177 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12175(a,1),7635(a,1))]. 12178 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(7745,a,12176,a)]. 12179 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(65,a,9591,a,b,12178,a)]. 12180 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8570,a,12179,a)]. 12181 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5195(a,1),11106(a,1,1))]. 12182 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(10(a,1),12181(a,1,2,2,1,2))]. 12184 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8315(a,1),12182(a,1,2))]. 12185 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12082(a,1),12184(a,1,2))]. 12186 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7930(a,1),12185(a,1,2)),flip(a)]. 12187 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(290,a,4730,a(flip),b,12186,a),flip(a)]. 12188 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(181(a,1),11329(a,2,2))]. 12189 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(290,a,4459,a,b,12188,a),flip(a)]. 12191 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(290,a,7415,a,b,12189,a),flip(a)]. 12192 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(11379(a,1),12191(a,1,2))]. 12193 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8203,a,12192,a)]. 12194 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7413,a,12193,a)]. 12195 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(65,a,7169,a(flip),b,12194,a)]. 12197 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4586(a,1),12195(a,1,2))]. 12198 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4585(a,1),11390(a,1,2)),flip(a)]. 12199 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(290,a,11992,a,b,12198,a),flip(a)]. 12201 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(22(a,2),12199(a,1,2))]. 12202 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10380,a,12201,a)]. 12203 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12202(a,1),12156(a,1,2))]. 12204 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(11961(a,1),12203(a,1,2))]. 12206 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(11428,a,12204,a(flip)),flip(a)]. 12207 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(9911(a,1),12206(a,2,2))]. 12209 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(448(a,1),12207(a,1,2,3))]. 12210 L(a(x,y,x),z,u) = a(x,y,x). [hyper(4287,a,12209,a)]. 12211 R(x,y,a(z,u,z)) = x. [hyper(1759,a,12209,a)]. 12214 R((x * y) / (z / a(u,w,u)),z / a(u,w,u),a(u,w,u)) = (x * (y * a(u,w,u))) / z. [para(12209(a,1),527(a,2,1))]. 12215 R(x * y,L(z,y,x),a(u,w,u)) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(12209(a,1),543(a,1,2))]. 12216 (x * (y * a(z,u,z))) \ w = (x * y) \ (a(z,u,z) \ w). [para(12209(a,1),11954(a,1,1))]. 12217 ((x * y) * (z * a(u,w,u))) / (y * z) = R(a(u,w,u) * x,y,z). [para(12209(a,1),12094(a,1,1))]. 12218 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10666,a,12211,a)]. 12220 R(x,y,a(z,u,z)) != w | x = w. [para(12211(a,1),53(a,2))]. 12222 L(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(290,a,12210,a,b,12210,a)]. 12223 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(290,a,11944,a,b,12210,a)]. 12229 a(x,y * K(z,y),x) = a(x,y,x). [hyper(65,a,11947,a,b,12210,a)]. 12232 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12210(a,1),12099(a,1,1))]. 12233 a(x,T(y,z),x) = a(x,y,x). [hyper(8926,a,12229,a)]. 12235 a(x,y / z,x) = a(x,z \ y,x). [para(4488(a,1),12229(a,1,2))]. 12236 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(290,a,11749,a,b,12233,a),flip(a)]. 12239 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(239(a,1),12233(a,1,2)),flip(a)]. 12240 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(529(a,1),12233(a,1,2)),flip(a)]. 12241 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12233(a,1),8428(a,1,1))]. 12242 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [hyper(8406,a,12235,a)]. 12265 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12222(a,1),471(a,1)),flip(b)]. 12271 R(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12223(a,2),471(a,1)),flip(b)]. 12272 (x * y) * L(L(a(z,u,z),w,v5),v6,v7) = (L(a(z,u,z),v6,v7) * x) * y. [para(12223(a,1),10606(a,1,2,1))]. 12277 T(x,y * a(z,u,z)) = T(x,y). [hyper(11955,a,12218,a)]. 12278 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12218(a,1),11955(a,1)),flip(b)]. 12280 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(120,a,12277,a(flip),b,4471,a(flip)),flip(a)]. 12281 T(x,(y * z) * y) = T(x,y * (z * y)). [para(86(a,1),12277(a,1,2))]. 12282 T(x,T(y,z) / z) = T(x,z \ y). [para(8421(a,1),12277(a,1,2))]. 12283 T(x,y * L(z,u,z)) = T(x,y * z). [para(8698(a,1),12277(a,1,2)),flip(a)]. 12284 T(x,a(y,z,y) * u) = T(x,u). [para(10218(a,2),12277(a,1,2))]. 12285 T(x,(y \ R(y,z,y)) * u) = T(x,u). [para(8396(a,1),12284(a,1,2,1))]. 12287 T(x,y / T(z,y)) = T(x,z \ y). [para(3601(a,1),12282(a,1,2))]. 12288 T(x,y / (y \ z)) = T(x,(z / y) \ y). [para(106(a,1),12287(a,1,2,2))]. 12289 K(x,y * a(z,u,z)) = K(x,y). [hyper(290,a,4412,a,b,12280,a),flip(a)]. 12290 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(12280(a,2),4544(a,1))]. 12291 K(x,T(y,z) / z) = K(x,z \ y). [para(8421(a,1),12289(a,1,2))]. 12292 K(x,R(y,z,y) * u) = K(x,y * u). [para(9907(a,1),12289(a,1,2))]. 12293 K(x,y * R(z,u,z)) = K(x,y * z). [para(9915(a,1),12289(a,1,2))]. 12294 K(x,a(y,z,y) \ u) = K(x,u). [para(10217(a,1),12289(a,1,2)),flip(a)]. 12295 K(x,a(y,z,y) * u) = K(x,u). [para(10218(a,2),12289(a,1,2))]. 12296 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(10264(a,1),12295(a,1,2)),flip(a)]. 12297 K(x,y / T(z,y)) = K(x,z \ y). [para(3601(a,1),12291(a,1,2))]. 12298 T(T(x,K(y,z \ u)),y * (T(u,z) / z)) = T(x,(T(u,z) / z) * y). [para(12291(a,1),11000(a,1,1,2))]. 12299 K(x,y / (y \ z)) = K(x,(z / y) \ y). [para(106(a,1),12297(a,1,2,2))]. 12301 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(3716(a,1),12292(a,1,2,1)),flip(a)]. 12302 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(8156(a,1),12292(a,1,2,1))]. 12303 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(3716(a,1),12293(a,1,2,2)),flip(a)]. 12304 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(8156(a,1),12293(a,1,2,2))]. 12306 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(12296(a,1),6135(a,1,1))]. 12307 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(8156(a,1),12296(a,1,2,1))]. 12308 K(x,L(R(y,z,y),u,w) \ v5) = K(x,L(y,u,w) \ v5). [para(11396(a,1),12296(a,1,2,1))]. 12310 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5480(a,1),12281(a,1,2)),flip(a)]. 12311 T(T(x,K(y,z)),(y / z) \ z) = T(x,(z \ y) \ z). [hyper(65,a,8326,a(flip),b,12288,a),flip(a)]. 12312 T(x / (x \ y),T(z,(y / x) \ x)) != u | T(x / (x \ y),z) = u. [para(12288(a,1),3692(a,1,2))]. 12313 K(x,y * K(z \ 1,z)) != u | K(x,y) = u. [para(1772(a,1),12290(a,1,2,2))]. 12314 K(x,T(y,z) / z) != u | K(x,z \ y) = u. [para(8421(a,1),12290(a,1,2))]. 12315 K(x,(y / z) \ z) * K(x,K(z,y)) = K(x,(z \ y) \ z). [para(12299(a,1),8026(a,1,1))]. 12316 K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. [para(1745(a,1),12313(a,1,2))]. 12317 K(x,K(y \ 1,y) * z) != u | K(x,z) = u. [para(2481(a,2),12313(a,1,2))]. 12318 K(x,(1 / (1 / y)) * z) != u | K(x,y * z) = u. [para(2506(a,1),12313(a,1,2))]. 12321 K(x,K(y,y \ 1) * z) != u | K(x,z) = u. [para(1794(a,1),12317(a,1,2,1))]. 12322 K(x,((1 / y) * z) \ u) != w | K(x,((y \ 1) * z) \ u) = w. [para(4138(a,1),12317(a,1,2))]. 12323 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(1891(a,1),12321(a,1,2))]. 12324 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(1936(a,1),12321(a,1,2))]. 12325 K(x,y * (1 / z)) != u | K(x,y * (z \ 1)) = u. [para(2545(a,1),12321(a,1,2))]. 12326 K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. [para(3068(a,1),12321(a,1,2))]. 12328 K(x,((y \ z) \ z) * u) = x \ T(x,T(y,z) * u). [hyper(290,a,4412,a(flip),b,12302,a),flip(a)]. 12329 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(81(a,1),12302(a,1,2,1,1)),flip(a)]. 12330 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(290,a,4412,a(flip),b,12303,a),flip(a)]. 12331 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(81(a,1),12304(a,1,2,2,1)),flip(a)]. 12332 K(x,K(y,z * T(u,w))) * K(x,y / (z * ((u \ w) \ w))) = K(x,(z * ((u \ w) \ w)) \ y). [para(12304(a,1),8015(a,1,1,2))]. 12333 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(12304(a,1),11616(a,1,2,1,1))]. 12334 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(81(a,1),12307(a,1,2,1,1)),flip(a)]. 12335 K(x,(y \ z) * z) = K(x,z * (z / y)). [hyper(11060,a,12329,a),flip(a)]. 12336 T(T(x,y),K(y,(z \ u) * w)) != v5 | T(x,T(y,T(u / z,u) * w)) = v5. [para(12329(a,1),7960(a,1,2))]. 12338 K(x,(y / z) * y) = K(x,y * (z \ y)). [para(104(a,1),12331(a,1,2))]. 12339 K(T(x / y,x) \ z,u) = (w * K(u,(y \ x) \ z)) \ w. [para(12334(a,1),6732(a,1,1,2)),flip(a)]. 12340 K(x,L(1 / y,z,u) * w) != v5 | K(x,L(y \ 1,z,u) * w) = v5. [para(3020(a,1),12318(a,1,2,1))]. 12343 T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u). [hyper(4474,a,12328,a)]. 12344 K(x,((y \ z) \ z) * u) != w | K(x,T(y,z) * u) = w. [para(12328(a,2),4544(a,1))]. 12345 T(x,T(y / z,y) * u) = T(x,(z \ y) * u). [para(81(a,1),12343(a,1,2,1,1)),flip(a)]. 12346 T(x,(y \ z) * z) = T(x,z * (z / y)). [hyper(11039,a,12345,a),flip(a)]. 12347 T(x,(y \ z) * z) != u | T(x,z * (z / y)) = u. [para(12345(a,1),11039(a,1))]. 12348 ((x \ y) * y) * T(z,y * (y / x)) = z * ((x \ y) * y). [para(12346(a,1),104(a,1,2))]. 12349 T(T(x,K(y,z)),z * (y \ z)) != u | T(x,z * (z / y)) = u. [para(11004(a,2),12347(a,1))]. 12350 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(12330(a,2),4544(a,1))]. 12351 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(65,a,12239,a(flip),b,12240,a)]. 12352 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(7521(a,2),12242(a,1,2))]. 12353 K(x,L((y \ 1) \ 1,z,u) * w) != v5 | K(x,T(L(y,z,u),1) * w) = v5. [para(3028(a,2),12344(a,1,2,1))]. 12354 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [hyper(290,a,6732,a(flip),b,12339,a),flip(a)]. 12355 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(78(a,1),12354(a,1,1,1,1)),flip(a)]. 12356 K(T(x,y) \ y,z) = K(y / x,z). [hyper(7734,a,12355,a),flip(a)]. 12357 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(12355(a,1),7734(a,1))]. 12358 K(x,((y \ z) \ z) \ u) * a(w,v5,K(T(y,z) \ u,x)) = K(x,L(((y \ z) \ z) \ u,v5,w)). [para(12355(a,1),11442(a,1,2,3))]. 12359 K(x \ T(y,x),z) = K(y / x,z). [hyper(6106,a,12356,a)]. 12360 K(x,y \ T(z,y)) * a(u,w,K(z / y,x)) = K(x,L(y \ T(z,y),w,u)). [para(12359(a,1),11442(a,1,2,3))]. 12361 K(x \ T(y,x),z) != u | K(y / x,z) = u. [para(3604(a,1),12357(a,1,1))]. 12362 K(T(x * y,y) \ T(z,y * x),u) != w | K(z / T(x * y,y),u) = w. [para(10966(a,1),12361(a,1,1,2))]. 12363 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(290,a,12235,a(flip),b,12232,a),flip(a)]. 12365 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(6905,a,12306,a),flip(a)]. 12366 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(12306(a,1),6905(a,1))]. 12368 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),12365(a,1,2,1,1)),flip(a)]. 12369 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(12368(a,1),7829(a,1))]. 12370 K(x,L(T(y,z),u,w) \ z) != v5 | K(x,z / L(y,u,w)) = v5. [para(25(a,2),12369(a,1,2,1))]. 12371 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3604(a,1),12369(a,1,2))]. 12372 K(x,y \ T(z,y)) = K(x,z / y). [hyper(12371,a,xx),flip(a)]. 12373 K(x,(T(y,z) * z) \ T(u,z * y)) != w | K(x,u / (T(y,z) * z)) = w. [para(11038(a,1),12371(a,1,2,2))]. 12374 K(x,T(y * z,y) \ T(u,z * y)) = K(x,u / T(y * z,y)). [para(10970(a,1),12372(a,1,2,2))]. 12375 K(x,(y * z) \ ((y * y) * u)) != w | K(x,((y \ 1) * z) \ u) = w. [para(999(a,2),12322(a,1,2))]. 12376 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(37,a,10446,a,b,12352,a)]. 12378 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(18(a,2),12363(a,2,2))]. 12379 a(x,L(y,z,u),x) = a(x,y,x). [hyper(12265,a,12378,a),flip(a)]. 12381 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(273(a,1),12379(a,1,2))]. 12382 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12379(a,1),8401(a,1,2)),flip(a)]. 12383 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(12379(a,1),8448(a,1,1)),flip(a)]. 12384 R(x,L(y,z,u),x) = R(x,y,x). [hyper(290,a,8401,a(flip),b,12382,a),flip(a)]. 12385 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12384(a,1),11823(a,1,2,1))]. 12386 L(x,L(y,z,u),x) = L(x,y,x). [hyper(290,a,8448,a(flip),b,12383,a),flip(a)]. 12387 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [para(353(a,1),12386(a,1,2)),flip(a)]. 12388 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(2220(a,2),12386(a,1,2)),flip(a)]. 12389 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(65,a,9174,a,b,12387,a)]. 12390 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(10(a,2),12389(a,1,2))]. 12391 L(x,y / z,x) = L(x,z \ y,x). [hyper(65,a,12187,a(flip),b,12390,a)]. 12393 L(x,(y \ z) \ z,x) = L(x,y,x). [para(78(a,1),12391(a,1,2)),flip(a)]. 12394 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(1770(a,2),12391(a,1,2))]. 12395 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4617(a,2),12391(a,1,2))]. 12397 L(x,y * K(z,y),x) = L(x,y,x). [para(5384(a,1),12393(a,1,2)),flip(a)]. 12398 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5187(a,1),12397(a,1,2))]. 12399 K(x,(y * z) \ T(u,y * z)) = K(x,u / T(z * y,z)). [hyper(12366,a,12374,a)]. 12400 K(x,y / T(z * u,z)) = K(x,y / (u * z)). [hyper(12371,a,12399,a),flip(a)]. 12401 K(x,y / T(z * u,z)) != w | K(x,y / (u * z)) = w. [para(12399(a,1),12371(a,1))]. 12402 K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). [para(10(a,1),12400(a,1,2,2,1)),flip(a)]. 12403 K(x,y / T(z * ((z * z) \ u),z)) = K(x,y / ((1 / z) * T(u,z))). [para(907(a,1),12400(a,2,2,2))]. 12404 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10454,a,12236,a)]. 12405 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(290,a,7109,a(flip),b,12404,a),flip(a)]. 12407 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(7861(a,2),12405(a,2,1)),flip(a)]. 12408 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5094(a,2),12407(a,1,1,1))]. 12409 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(9585,a,12408,a)]. 12410 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(65,a,12398,a(flip),b,12395,a),flip(a)]. 12412 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4389(a,1),12310(a,1,2,2))]. 12413 T(x,(T(y,z \ y) / T(z,y)) * (y * (T(y,z) / z))) = T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))). [para(7024(a,1),12412(a,1,2,1))]. 12414 K(x,y / T((z \ 1) * u,z)) = K(x,y / ((1 / z) * T(u,z))). [para(710(a,1),12403(a,1,2,2,1))]. 12415 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(36,a,7860,a,b,12409,a)]. 12416 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12415(a,1),4594(a,2,2,2)),flip(a)]. 12417 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(7194,a,12416,a)]. 12418 (L(a(x,y,x),z,u) * w) * v5 = w * (v5 * L(a(x,y,x),z,u)). [hyper(858,a,12272,a),flip(a)]. 12421 (x * L(a(y,z,y),u,w)) * v5 = x * (v5 * L(a(y,z,y),u,w)). [para(10233(a,1),12418(a,1,1))]. 12423 (x * L(a(y,z,y),u,w)) * v5 = x * (L(a(y,z,y),u,w) * v5). [para(10233(a,2),12421(a,2,2))]. 12425 L(x,L(a(y,z,y),u,w),v5) = x. [hyper(459,a,12423,a)]. 12427 L(x,a(y,z,y),u) = x. [hyper(2953,a,12425,a)]. 12428 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(1274,a,12427,a),flip(a)]. 12429 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(65,a,273,a(flip),b,12427,a)]. 12430 K(x,y) != z | K(L(x,a(u,w,u),v5),y) = z. [para(12427(a,1),11541(a,1))]. 12432 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(65,a,11958,a(flip),b,12428,a)]. 12434 (x * (a(y,z,y) * u)) \ ((x * a(y,z,y)) * (u * w)) = L(w,u,x * a(y,z,y)). [para(12428(a,1),18(a,2,1)),flip(a)]. 12435 (x / y) * (a(y,z,y) * u) = (x / L(y,z,y)) * u. [para(8694(a,1),12428(a,1,1)),flip(a)]. 12436 (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. [para(10217(a,1),12428(a,1,1)),flip(a)]. 12438 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12428(a,1),12042(a,1,1,1))]. 12439 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(65,a,10243,a,b,12429,a)]. 12441 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(120,a,153,a(flip),b,12432,a)]. 12443 (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). [para(12432(a,1),11948(a,1,1))]. 12444 L(x,y,z * (a(u,w,u) * v5)) = L(x,y,z * v5). [para(12432(a,1),12045(a,1,3))]. 12445 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(12432(a,1),12295(a,1,2))]. 12446 K(x,y * T(z * u,z)) = K(x,y * (u * z)). [para(8418(a,1),12445(a,1,2,2))]. 12447 K(x,y * (z * R(u,w,u))) = K(x,y * (z * u)). [para(10238(a,1),12445(a,1,2,2))]. 12448 K(x,y * (L(z,u,z) * w)) = K(x,y * (z * w)). [para(11970(a,1),12445(a,1,2,2)),flip(a)]. 12449 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(308,a,12436,a)]. 12450 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(229,a,12436,a,b,10,a)]. 12452 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12439(a,2),12294(a,1,2))]. 12453 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(6163,a,12452,a)]. 12454 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(11970(a,1),12452(a,1,2,1)),flip(a)]. 12455 x * (a(x,y,x) \ L(x \ a(x,y,x),z,u)) = L(x \ L(x,z,u),y,x). [hyper(8979,a,12441,a),flip(a)]. 12456 a(x,y,x) \ (z \ a(x,y,x)) = z \ 1. [hyper(536,a,12441,a),flip(a)]. 12457 K(x,T(y,z * u) * (z * u)) = K(x,T(u * z,u) * y). [hyper(11063,a,12446,a),flip(a)]. 12458 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [para(10(a,1),12446(a,1,2,2,1)),flip(a)]. 12459 (x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w). [para(12441(a,1),12449(a,1,1))]. 12460 K(x,y * (z * T(u,u * w))) = K(x,y * (z * T(u,w))). [para(3716(a,1),12447(a,1,2,2,2)),flip(a)]. 12461 K(x,y * (z * ((u \ w) \ w))) = K(x,y * (z * T(u,w))). [para(8156(a,1),12447(a,1,2,2,2))]. 12462 K(x,y * (T(z / u,z) * w)) = K(x,y * ((u \ z) * w)). [para(3735(a,1),12448(a,1,2,2,1))]. 12463 T(x,y * (L(z,u,z) * w)) = x * K(x,y * (z * w)). [para(12448(a,1),4471(a,2,2))]. 12464 L(x,y,(z / L(u,w,u)) * v5) = L(x,y,(z / u) * v5). [para(12435(a,1),12444(a,1,3))]. 12465 T(x,y * (L(z,u,z) * w)) = T(x,y * (z * w)). [hyper(290,a,4471,a,b,12463,a),flip(a)]. 12466 L(x,y,((z * u) / z) * w) = L(x,y,(z * (u / z)) * w). [para(544(a,1),12464(a,1,3,1)),flip(a)]. 12467 (x * (a(y,z,y) * (u * w))) \ (a(y,z,y) * ((x * u) * w)) = a(x,a(y,z,y) * u,w). [para(12443(a,1),11966(a,1,2))]. 12468 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [hyper(11060,a,12457,a),flip(a)]. 12469 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [para(10(a,1),12468(a,1,2,1,1)),flip(a)]. 12470 K(x,(y \ (z * (y \ 1))) * u) = K(x,((y \ z) * (y \ 1)) * u). [para(2359(a,1),12468(a,1,2,1))]. 12471 K(x,y * ((T(z,u) * u) * T(u,z))) = K(x,y * (u * (T(z,u) * u))). [para(11040(a,1),12460(a,1,2,2)),flip(a)]. 12472 K(x,T(y,z * ((u \ w) \ w)) * (z * T(u,w))) = K(x,(z * ((u \ w) \ w)) * y). [hyper(11060,a,12461,a),flip(a)]. 12473 K(x,y * (z * T(u / w,u))) = K(x,y * (z * (w \ u))). [para(81(a,1),12461(a,1,2,2,2,1)),flip(a)]. 12474 K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * ((w * u) * (1 / u)))). [para(6016(a,1),12461(a,1,2,2,2)),flip(a)]. 12475 K(x,y * (((z \ u) \ u) * w)) = K(x,y * (T(z,u) * w)). [para(78(a,1),12462(a,1,2,2,1,1)),flip(a)]. 12476 K(x,T(y,((z \ u) \ u) * w) * (T(z,u) * w)) = K(x,(((z \ u) \ u) * w) * y). [hyper(11060,a,12475,a),flip(a)]. 12477 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(11955,a,12453,a)]. 12479 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(10(a,1),12477(a,1,2,2)),flip(a)]. 12480 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8418(a,1),12477(a,1,2,2))]. 12481 K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). [para(10238(a,1),12477(a,1,2,2))]. 12482 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [para(12216(a,2),12479(a,1,2))]. 12483 K(x,y \ (z * T(u,u * w))) = K(x,y \ (z * T(u,w))). [para(3716(a,1),12481(a,1,2,2,2)),flip(a)]. 12484 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * T(u,w))). [para(3768(a,1),12481(a,1,2,2,2))]. 12485 K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). [para(8156(a,1),12481(a,1,2,2,2))]. 12486 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(8434(a,1),12482(a,1,2,1,2))]. 12487 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). [hyper(290,a,12484,a,b,12485,a)]. 12488 K(x,((y * z) * y) \ u) = K(x,(y * (z * y)) \ u). [para(104(a,1),12486(a,1,2,1))]. 12489 K(x,L(T(y,z) \ u,u,z * y)) = K(x,(y * (z * y)) \ ((z * y) * u)). [hyper(65,a,11501,a,b,12488,a)]. 12490 K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). [para(225(a,1),12487(a,1,2,2))]. 12491 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(10(a,1),12438(a,1,2,1))]. 12492 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [hyper(11053,a,12450,a)]. 12493 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(290,a,12439,a(flip),b,12492,a),flip(a)]. 12494 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(22(a,2),12493(a,2,2))]. 12495 T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). [hyper(12278,a,12494,a)]. 12497 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12495(a,2),8441(a,1,2))]. 12498 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(9(a,1),12497(a,1,2,1)),flip(a)]. 12499 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(8442,a,12498,a),flip(a)]. 12500 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(10218(a,1),12499(a,1,1))]. 12501 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(120,a,12500,a,b,xx)]. 12502 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(290,a,4471,a(flip),b,12501,a),flip(a)]. 12503 K(x * a(y,z,y),u) = K(x,u). [hyper(11990,a,12502,a)]. 12504 K(T(x,y) / y,z) = K(y \ x,z). [para(8421(a,1),12503(a,1,1))]. 12505 K(R(x,y,x) * z,u) = K(x * z,u). [para(9907(a,1),12503(a,1,1))]. 12506 K(a(x,y,x) * z,u) = K(z,u). [para(10218(a,2),12503(a,1,1))]. 12508 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(12430,a,12506,a(flip))]. 12509 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12504(a,1),8857(a,2,2))]. 12511 K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). [para(8156(a,1),12505(a,1,1,1))]. 12512 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12509(a,1),8882(a,1,1,2))]. 12513 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12508(a,1),9745(a,1))]. 12514 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(10218(a,1),12513(a,1,1))]. 12515 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(8421(a,1),12514(a,1,1))]. 12516 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3601(a,1),12515(a,1,1))]. 12517 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11609(a,1),12491(a,1,1,1)),flip(a)]. 12518 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(290,a,20,a,b,12517,a),flip(a)]. 12519 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(9(a,1),12518(a,1,2,2)),flip(a)]. 12520 a(x,R(y,z,u),x) = a(x,y,x). [hyper(12271,a,12519,a),flip(a)]. 12522 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(65,a,12351,a(flip),b,12520,a)]. 12523 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12520(a,1),8418(a,1,1))]. 12524 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12520(a,1),10261(a,1,1)),flip(a)]. 12526 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(7(a,1),12522(a,1,2,2))]. 12527 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12522(a,1),10254(a,1,2,1)),flip(a)]. 12528 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(65,a,12235,a,b,12526,a)]. 12529 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(4299(a,1),12528(a,1,2,2)),flip(a)]. 12530 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(290,a,10261,a(flip),b,12524,a),flip(a)]. 12531 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12530(a,1),11821(a,1,2))]. 12532 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10259,a,12523,a)]. 12533 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12532(a,2),3596(a,1,1))]. 12534 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(12527(a,2),10268(a,1))]. 12535 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(12534,a,12410,a),flip(a)]. 12536 L(x,R(y,z,u),x) = L(x,y,x). [para(9(a,1),12535(a,2,2))]. 12537 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(832(a,1),12531(a,1,2)),flip(a)]. 12539 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12537(a,1),4408(a,2,2)),flip(a)]. 12540 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(9(a,1),12512(a,1,1))]. 12541 L(x,K(y \ x,z),x) = x. [hyper(7690,a,12540,a)]. 12543 L(x,K(y,z),x) = x. [para(81(a,1),12541(a,1,2,1))]. 12544 T(K(x,y) * z,z) = z * K(x,y). [hyper(65,a,8905,a(flip),b,12543,a)]. 12547 (K(x,y) * z) * z = z * (z * K(x,y)). [para(12544(a,1),104(a,1,2)),flip(a)]. 12548 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(65,a,9868,a(flip),b,12539,a)]. 12549 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(11351(a,1),12548(a,1,1))]. 12550 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(65,a,11668,a,b,12549,a),flip(a)]. 12551 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(170(a,1),12550(a,2,1,2))]. 12552 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(6935,a,12551,a)]. 12553 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),12551(a,1,1))]. 12554 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(65,a,10137,a(flip),b,12553,a)]. 12555 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(65,a,11085,a(flip),b,12554,a)]. 12556 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4579(a,1),12555(a,2,1))]. 12557 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(290,a,12108,a(flip),b,12556,a),flip(a)]. 12558 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(65,a,5364,a,b,12557,a)]. 12559 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(65,a,6962,a(flip),b,12557,a)]. 12560 K(x,y / z) * a(u,w,K(y / z,x)) = K(x,L(z \ T(y,z),w,u)). [para(12372(a,1),12360(a,1,1))]. 12561 K(x,L(y \ T(z,y),u,w)) != v5 | K(x,L(z / y,u,w)) = v5. [para(12560(a,1),11477(a,1))]. 12562 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). [para(6989(a,1),12490(a,1,2,2,1))]. 12563 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). [hyper(290,a,12485,a(flip),b,12562,a),flip(a)]. 12565 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). [para(225(a,1),12563(a,2,2,2))]. 12566 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(65,a,10371,a(flip),b,12533,a)]. 12567 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12551(a,1),12552(a,1,1))]. 12568 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(65,a,12127,a,b,12567,a)]. 12569 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(65,a,12126,a(flip),b,12568,a)]. 12570 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(14(a,2),12394(a,2,2))]. 12571 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(65,a,12536,a(flip),b,12570,a)]. 12573 (x * (a(y,z,y) * u)) \ (x * (a(y,z,y) * (u * w))) = L(w,u,x * a(y,z,y)). [para(12428(a,1),12434(a,1,2))]. 12574 K(x,T(y,T(z,u) * w) * (T(z,u) * w)) = K(x,(((z \ u) \ u) * w) * y). [para(12343(a,1),12476(a,1,2,1))]. 12575 K(x,(((y \ z) \ z) * u) * w) != v5 | K(x,(T(y,z) * u) * w) = v5. [para(12574(a,1),11060(a,1))]. 12576 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12571(a,1),12558(a,1,2))]. 12577 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5416,a,12576,a)]. 12578 L(L(x,y,a(z,u,z)),a(z,u,z) * y,w) = L(x,y,w * a(z,u,z)). [hyper(868,a,12573,a)]. 12579 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(11952(a,1),12578(a,1,1))]. 12580 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(290,a,12052,a(flip),b,12579,a),flip(a)]. 12582 L(x,R(y,z,y),u) = L(x,y,u). [para(8405(a,1),12580(a,1,2))]. 12583 L(x,T(y * z,y),u) = L(x,z * y,u). [para(8418(a,1),12580(a,1,2))]. 12584 L((a(x,y,x) \ (z * (a(x,y,x) * (u * w)))) \ ((z * u) * w),a(x,y,x) \ (z * (a(x,y,x) * (u * w))),a(x,y,x)) = a(z,a(x,y,x) * u,w). [hyper(918,a,12467,a)]. 12585 K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * ((w * u) * (u \ 1)))). [hyper(290,a,5270,a(flip),b,12474,a),flip(a)]. 12586 K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * R(w,u,u))). [para(787(a,1),12585(a,2,2,2,2))]. 12587 R((x * y) / (a(z,u,z) \ w),w / a(z,u,z),a(z,u,z)) = (x * (y * a(z,u,z))) / w. [para(10220(a,1),12214(a,1,1,2))]. 12588 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12384(a,1),12385(a,1,2,2,1))]. 12590 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(3657(a,2),12588(a,1,2))]. 12592 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(3748(a,1),12590(a,1,2,2))]. 12593 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(10970(a,1),12592(a,1,2))]. 12594 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(830(a,1),12593(a,1,2)),flip(a)]. 12595 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(65,a,10561,a(flip),b,12594,a)]. 12596 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(120,a,12595,a(flip),b,4471,a(flip))]. 12598 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8391,a,12596,a),flip(a)]. 12599 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(11499,a,12598,a(flip)),flip(a)]. 12600 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),12599(a,1,1))]. 12601 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(65,a,6504,a(flip),b,12600,a)]. 12602 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11413(a,1),12601(a,2,3))]. 12603 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(290,a,11587,a(flip),b,12602,a),flip(a)]. 12605 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(65,a,11256,a(flip),b,12603,a)]. 12606 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(12603(a,1),11604(a,1,3)),flip(a)]. 12607 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(65,a,5364,a,b,12605,a)]. 12608 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),12605(a,1,2))]. 12609 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6035,a,12608,a)]. 12610 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(65,a,11220,a(flip),b,12609,a)]. 12611 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11738(a,1),12610(a,2,3))]. 12612 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(81(a,1),12611(a,2,3,1))]. 12615 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12612(a,1),4835(a,1,2,1)),flip(a)]. 12616 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(290,a,9078,a(flip),b,12615,a),flip(a)]. 12617 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12616(a,1),4471(a,2,2))]. 12618 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(12616(a,1),11600(a,1,3)),flip(a)]. 12619 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(12618(a,1),11842(a,1,1))]. 12620 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(11604(a,1),12606(a,2,3))]. 12621 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10332(a,1),12620(a,1,3))]. 12622 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(65,a,11593,a(flip),b,12621,a)]. 12623 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12622(a,1),8804(a,1,2))]. 12624 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12388(a,1),12607(a,1,2))]. 12625 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5416,a,12624,a)]. 12626 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(65,a,9780,a(flip),b,12625,a)]. 12627 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11496(a,1),12623(a,1,2)),flip(a)]. 12628 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(290,a,8,a(flip),b,12627,a),flip(a)]. 12630 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(12628(a,1),8886(a,1,2,2)),flip(a)]. 12631 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(290,a,8886,a(flip),b,12630,a),flip(a)]. 12632 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12631(a,1),4471(a,2,2))]. 12633 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(290,a,4471,a,b,12632,a),flip(a)]. 12634 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [hyper(5942,a,12633,a),flip(a)]. 12635 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12633(a,1),12626(a,1,2,1))]. 12636 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4696,a,12635,a)]. 12638 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12634(a,1),9554(a,1,2))]. 12639 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2797,a,12638,a)]. 12640 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(6319,a,12639,a),flip(a)]. 12642 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(12640(a,2),8(a,1,2))]. 12643 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(4817,a,12642,a)]. 12644 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12643(a,1),6238(a,1,2)),flip(a)]. 12645 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(183,a,12644,a)]. 12647 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(14(a,1),12645(a,1,1,1)),flip(a)]. 12648 T(a(x,y,z),x) = a(x,y,z). [hyper(290,a,9465,a(flip),b,12647,a)]. 12650 a(x,y,z) * x = x * a(x,y,z). [para(12648(a,1),104(a,1,2)),flip(a)]. 12651 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(2170(a,2),12648(a,1,1))]. 12654 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(65,a,9084,a(flip),b,12650,a),flip(a)]. 12656 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(12654(a,1),8810(a,1,2,2))]. 12657 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(12325,a,12656,a)]. 12658 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(65,a,10651,a,b,12657,a)]. 12659 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(290,a,11636,a(flip),b,12658,a),flip(a)]. 12661 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(65,a,9128,a,b,12659,a)]. 12663 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(251(a,1),12661(a,2,2))]. 12664 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(290,a,9124,a(flip),b,12663,a),flip(a)]. 12666 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(65,a,9129,a(flip),b,12664,a)]. 12667 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(290,a,12023,a(flip),b,12666,a),flip(a)]. 12669 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(12003,a,12667,a)]. 12670 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(12669(a,1),6505(a,1,2,1))]. 12671 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(4845,a,12670,a),flip(a)]. 12673 (x * (y * a(z,u,z))) / w = (x * y) / (a(z,u,z) \ w). [hyper(12220,a,12587,a),flip(a)]. 12675 ((x * y) * z) / (a(u,w,u) \ (y * z)) = R(a(u,w,u) * x,y,z). [hyper(65,a,12217,a(flip),b,12673,a),flip(a)]. 12676 ((x * y) * z) / (y * (a(u,w,u) \ z)) = R(a(u,w,u) * x,y,z). [para(12441(a,1),12675(a,1,2))]. 12677 (((a(x,y,x) \ z) * u) * w) / (u * (a(x,y,x) \ w)) = R(z,u,w). [para(10(a,1),12676(a,2,1))]. 12678 ((x * (a(y,z,y) \ u)) * w) / (u * (a(y,z,y) \ w)) = R(x,u,w). [para(12449(a,1),12677(a,1,1,1))]. 12679 ((x * y) * (a(z,u,z) \ w)) / (y * (a(z,u,z) \ w)) = R(x,y,w). [para(12459(a,1),12678(a,1,1))]. 12680 R(x,y,a(z,u,z) \ w) = R(x,y,w). [hyper(509,a,12679,a)]. 12681 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(65,a,10250,a(flip),b,12680,a)]. 12683 R(x,y,T(z,u) / u) = R(x,y,u \ z). [para(8421(a,1),12681(a,1,3))]. 12684 R(x,y,z / T(u,z)) = R(x,y,u \ z). [para(3601(a,1),12683(a,1,3))]. 12685 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(11497(a,1),12619(a,1,1))]. 12686 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(122,a,12685,a)]. 12688 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(65,a,6167,a(flip),b,12686,a)]. 12690 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12688(a,1),4471(a,2,2)),flip(a)]. 12693 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4475,a,12690,a),flip(a)]. 12694 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12693(a,2),744(a,1,1))]. 12695 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(290,a,12617,a(flip),b,12694,a),flip(a)]. 12696 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(12211(a,1),12215(a,1,1))]. 12697 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(12209(a,1),12696(a,1,2,2))]. 12699 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(463,a,12697,a)]. 12700 L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w). [hyper(4325,a,12699,a),flip(a)]. 12701 x * L(a(x,y,x) \ (x \ a(x,y,x)),z,u) = L(x \ L(x,z,u),y,x). [para(12700(a,2),12455(a,1,2))]. 12702 L(x \ L(x,y,z),u,x) = x * L(x \ 1,y,z). [para(12456(a,1),12701(a,1,2,1)),flip(a)]. 12703 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [hyper(290,a,4342,a(flip),b,12702,a),flip(a)]. 12706 K(x,T(y,z) \ u) * a(w,v5,K(T(y,z) \ u,x)) = K(x,L(((y \ z) \ z) \ u,v5,w)). [para(12307(a,1),12358(a,1,1))]. 12707 K(x,L(((y \ z) \ z) \ u,w,v5)) = K(x,L(T(y,z) \ u,w,v5)). [hyper(11477,a,12706,a),flip(a)]. 12708 K(x,L(((y \ z) \ z) \ u,w,v5)) != v6 | K(x,L(T(y,z) \ u,w,v5)) = v6. [para(12706(a,1),11477(a,1))]. 12709 K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(((z * y) * (1 / y)) \ u,w,v5)). [para(6016(a,1),12707(a,1,2,1,1)),flip(a)]. 12710 K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(((z * y) * (y \ 1)) \ u,w,v5)). [hyper(290,a,11555,a(flip),b,12709,a),flip(a)]. 12711 K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(R(z,y,y) \ u,w,v5)). [para(787(a,1),12710(a,2,2,1,1))]. 12712 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(65,a,10414,a(flip),b,12333,a),flip(a)]. 12713 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11229,a,12529,a)]. 12714 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(65,a,12381,a(flip),b,12713,a)]. 12715 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(18(a,2),12714(a,1,2,2))]. 12716 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4316(a,1),12715(a,1,2))]. 12717 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(65,a,4304,a(flip),b,12716,a)]. 12719 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(2562(a,1),12717(a,2,2)),flip(a)]. 12720 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12719(a,1),8919(a,1,1,2))]. 12723 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10718(a,1),12241(a,1,1))]. 12725 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10281(a,1),10282(a,2,2,1,1))]. 12726 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(290,a,1624,a(flip),b,12725,a),flip(a)]. 12727 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2086(a,1),12726(a,2,2))]. 12728 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(1063(a,1),12727(a,2,2,1))]. 12729 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1248(a,1),12728(a,2,2,1,2))]. 12730 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1624(a,1),12729(a,1,1))]. 12731 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12096(a,2),12730(a,1,1,2))]. 12732 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(10(a,1),12731(a,1,1,2,1)),flip(a)]. 12733 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12732(a,1),12559(a,1,1))]. 12734 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(9(a,1),12733(a,1,2))]. 12735 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4501,a,12734,a),flip(a)]. 12737 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12735(a,1),11710(a,2,2))]. 12738 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12735(a,2),12577(a,1,1))]. 12739 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(65,a,12017,a(flip),b,12737,a),flip(a)]. 12740 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(65,a,10387,a,b,12739,a)]. 12741 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7415(a,2),12740(a,2,1))]. 12742 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(10401,a,12741,a)]. 12743 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(65,a,8869,a(flip),b,12742,a)]. 12744 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7429(a,1),12743(a,2,1))]. 12745 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8353(a,1),12744(a,2,1))]. 12746 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(8881,a,12745,a)]. 12749 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(65,a,9002,a(flip),b,12746,a)]. 12751 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(65,a,12180,a(flip),b,12749,a),flip(a)]. 12752 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(10185(a,1),12751(a,1,1)),flip(a)]. 12753 K(x,K(y * z,a(y,z,u))) = 1. [hyper(290,a,11298,a(flip),b,12752,a),flip(a)]. 12754 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12177,a,12753,a)]. 12757 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(12754(a,1),8780(a,1,2)),flip(a)]. 12758 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(290,a,8,a(flip),b,12757,a),flip(a)]. 12760 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(65,a,8592,a,b,12758,a)]. 12761 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12735(a,2),12760(a,1,1))]. 12762 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(65,a,12127,a,b,12761,a)]. 12763 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(65,a,12569,a(flip),b,12762,a)]. 12765 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(10270,a,12738,a)]. 12766 a(x,a(y,z,u),x) = 1. [hyper(166,a,12765,a),flip(a)]. 12767 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(12763(a,1),12765(a,1,2))]. 12768 L(x,a(y,z,u),x) = x. [hyper(54,a,12766,a)]. 12770 R(x,a(y,z,u),x) = x. [hyper(3753,a,12768,a)]. 12771 R(T(x,y),a(z,u,w),x) = T(x,y). [hyper(65,a,8154,a(flip),b,12770,a)]. 12772 (x * ((a(y,z,u) \ w) \ (a(y,z,u) \ w))) / (K(a(y,z,u) \ w,a(y,z,u)) * x) = K(a(y,z,u) * (w / a(y,z,u)),a(y,z,u) \ w). [para(12770(a,1),11035(a,1,1,2,2))]. 12773 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(8419,a,12767,a)]. 12774 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(290,a,12763,a(flip),b,12773,a),flip(a)]. 12775 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(290,a,12014,a(flip),b,12773,a),flip(a)]. 12776 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(65,a,12636,a(flip),b,12774,a)]. 12777 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(12776(a,1),9077(a,2,1))]. 12778 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(65,a,12636,a(flip),b,12775,a),flip(a)]. 12779 a(K(x,y),z,z) = 1. [hyper(290,a,5793,a(flip),b,12778,a),flip(a)]. 12780 a(x,x,K(y,z)) = 1. [hyper(65,a,4919,a(flip),b,12778,a),flip(a)]. 12781 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(12778(a,1),11369(a,1,1,2))]. 12782 (x * K(y,z)) * T(x,K(y,z)) = (K(y,z) * (x * x)) * 1. [para(12779(a,1),7880(a,1,2)),flip(a)]. 12783 K(x \ L(x,y,y),z) = 1. [hyper(65,a,11498,a,b,12780,a)]. 12784 L(K(x,y),z,z) = K(x,y). [hyper(54,a,12780,a)]. 12785 K(a(x,x,y) \ 1,z) = 1. [hyper(5968,a,12783,a)]. 12786 T(x \ L(x,y,y),z) = x \ L(x,y,y). [hyper(58,a,12783,a)]. 12787 K(L(x,y,y),z) = K(x,z). [hyper(11541,a,12784,a)]. 12788 K(x,L(y,z,z)) = K(x,y). [hyper(11458,a,12784,a)]. 12789 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(699,a,12784,a)]. 12791 L(K(x,y),z \ 1,z) = K(x,y). [hyper(65,a,1846,a(flip),b,12784,a)]. 12792 (1 / x) \ K(y,z) = x * K(y,z). [hyper(120,a,12784,a(flip),b,665,a)]. 12793 (x * x) * K(y,z) = x * (x * K(y,z)). [para(12784(a,1),94(a,1,2))]. 12795 T(x,L(y,z,z)) = x * K(x,y). [para(12784(a,1),11447(a,1,2)),flip(a)]. 12796 T(a(x,x,y) \ 1,z) = a(x,x,y) \ 1. [hyper(58,a,12785,a)]. 12797 K((x * x) \ y,z) = K(x \ (x \ y),z). [para(273(a,1),12787(a,1,1))]. 12798 K((1 / x) * y,z) = K(x \ y,z). [para(663(a,1),12787(a,1,1))]. 12801 K(L(x,y,y \ 1),z) = K(x,z). [para(1846(a,2),12787(a,1,1))]. 12802 K(x,(y * y) \ z) = K(x,y \ (y \ z)). [para(273(a,1),12788(a,1,2))]. 12803 K(x,(1 / y) * z) = K(x,y \ z). [para(663(a,1),12788(a,1,2))]. 12805 K(x,T(y,z) \ z) = K(x,((y * y) \ z) * y). [para(3759(a,1),12788(a,1,2)),flip(a)]. 12807 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(6344,a,12791,a)]. 12808 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(120,a,12791,a(flip),b,247,a),flip(a)]. 12809 T(x,L(y,z,z)) = T(x,y). [hyper(290,a,4471,a,b,12795,a),flip(a)]. 12810 T(x,L(y,z,z)) != u | T(x,y) = u. [para(12795(a,2),4475(a,1))]. 12811 T(x,((y \ 1) * z) \ 1) = T(x,(y \ z) \ 1). [hyper(65,a,11537,a(flip),b,12809,a)]. 12812 L(x,y,y) * T(z,x) = z * L(x,y,y). [para(12809(a,1),104(a,1,2))]. 12813 T(x,(y * y) \ z) = T(x,y \ (y \ z)). [para(273(a,1),12809(a,1,2))]. 12814 T(x,(1 / y) * z) = T(x,y \ z). [para(663(a,1),12809(a,1,2))]. 12815 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(120,a,12801,a(flip),b,12671,a),flip(a)]. 12816 T(x,x \ 1) * K(y,z) = (x \ 1) \ K(y,z). [hyper(120,a,12789,a(flip),b,5295,a),flip(a)]. 12817 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(12789(a,1),307(a,1,2))]. 12818 L(x \ (y * K(z,u)),x,1 / y) = ((1 / y) * x) \ K(z,u). [para(12789(a,1),96(a,2,2))]. 12819 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(290,a,6738,a(flip),b,12792,a),flip(a)]. 12821 (1 / x) \ y != x * K(z,u) | K(z,u) = y. [para(12792(a,1),49(a,1)),flip(a)]. 12822 (1 / x) * (x * K(y,z)) != u | K(y,z) = u. [para(12792(a,1),245(a,1,2)),flip(b)]. 12824 L(x,y,z \ K(u,w)) = L(x,y,z * K(u,w)). [para(12792(a,1),1857(a,1,3)),flip(a)]. 12828 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(12792(a,1),5465(a,2,2,2))]. 12830 K((x \ 1) * y,z) = K(x \ y,z). [hyper(6129,a,12798,a)]. 12833 K((x \ 1) \ y,z) = K(x * y,z). [para(78(a,1),12798(a,1,1,1)),flip(a)]. 12834 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(12798(a,1),6123(a,1))]. 12836 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(12324,a,12803,a)]. 12837 K(x,(1 / y) \ z) = K(x,y * z). [hyper(12318,a,12803,a),flip(a)]. 12838 K(x,(y \ 1) \ z) = K(x,y * z). [para(78(a,1),12803(a,1,2,1)),flip(a)]. 12839 K(x,(K(y,z) / z) * u) = K(x,T(z,y) \ u). [para(4415(a,2),12803(a,1,2,1))]. 12840 K(x,(1 / y) \ z) != u | K(x,y * z) = u. [para(12803(a,1),12318(a,1))]. 12842 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6740,a,12808,a)]. 12844 (x \ K(y,z)) / K(y,z) = x \ 1. [hyper(136,a,12808,a)]. 12846 (x * x) \ K(y,z) = x \ (x \ K(y,z)). [hyper(120,a,12808,a(flip),b,710,a),flip(a)]. 12850 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [para(12808(a,1),7479(a,1,1))]. 12851 T(x \ K(y,z),K(y,z)) != u | K(y,z) * (x \ 1) = u. [para(12808(a,1),7492(a,1,1))]. 12852 (K(x,T(y,z \ 1)) * z) * (1 / z) = (z \ K(x,y)) * z. [para(12808(a,1),7575(a,2,1))]. 12853 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(12808(a,1),6419(a,1,2))]. 12854 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(663(a,1),12810(a,1,2))]. 12856 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(65,a,4060,a(flip),b,12814,a)]. 12857 T(x,(1 / y) \ z) = T(x,y * z). [hyper(65,a,4058,a(flip),b,12814,a),flip(a)]. 12858 T(x,(y \ 1) \ z) = T(x,y * z). [para(78(a,1),12814(a,1,2,1)),flip(a)]. 12859 T(x,(1 / (y / (z * z))) * u) = T(x,(z * z) * (y \ u)). [para(804(a,1),12814(a,2,2))]. 12860 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(290,a,4811,a(flip),b,12815,a),flip(a)]. 12861 1 / (x \ K(y,z)) = K(z,y) * x. [hyper(190,a,12815,a)]. 12862 a(x \ K(y,z),u,w) = a(K(z,y) * x,u,w). [para(12815(a,1),2169(a,1,1))]. 12864 (x \ T(y,x)) \ 1 = (x \ y) \ K(x,y). [para(4929(a,1),12815(a,1,1))]. 12866 T(x,K(y,z)) \ K(y,z) = (x * K(z,y)) \ 1. [para(7485(a,1),12815(a,1,1)),flip(a)]. 12867 (K(x,y) * z) \ K(u,w) = (z \ K(y,x)) * K(u,w). [para(12815(a,1),12808(a,1,1)),flip(a)]. 12869 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(290,a,9661,a(flip),b,12830,a),flip(a)]. 12870 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(10(a,1),12830(a,1,1)),flip(a)]. 12872 (x * K(y \ z,u)) \ x = K(u,(y \ 1) * z). [para(12830(a,1),6732(a,1,1,2))]. 12873 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(65,a,10529,a(flip),b,12833,a)]. 12874 K((x * x) * y,z) = K(x * (x * y),z). [para(808(a,1),12833(a,1,1))]. 12875 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),z) = K(T(((x \ 1) \ y) / (x \ 1),(x \ 1) \ 1),z). [para(2375(a,1),12833(a,1,1)),flip(a)]. 12877 K(x * y,z) * ((x \ 1) \ y) = T((x \ 1) \ y,z). [para(12833(a,1),4491(a,2,1)),flip(a)]. 12878 x \ T(x * y,z) = y * K(x * y,z). [para(12833(a,1),5855(a,2,2))]. 12879 x * (y * K(x * y,z)) = T(x * y,z). [para(12833(a,1),5877(a,1,2,2))]. 12882 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(12833(a,1),10476(a,1,1,2))]. 12884 K(x,y \ (z * T(u / w,u))) = K(x,(y \ 1) * (z * (w \ u))). [hyper(65,a,12473,a(flip),b,12836,a),flip(a)]. 12885 K(x,y \ (T(z / u,z) * w)) = K(x,(y \ 1) * ((u \ z) * w)). [hyper(65,a,12462,a(flip),b,12836,a),flip(a)]. 12886 K(x,((y * y) * (z \ 1)) * u) = K(x,(z / (y * y)) \ u). [para(804(a,1),12836(a,1,2,1))]. 12888 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(12836(a,1),12323(a,1))]. 12889 K(x,L((1 / y) \ z,u,w)) = K(L(x,u,w),y * z). [hyper(11478,a,12837,a)]. 12890 K(x,y * (((1 / y) * z) * u)) = K(x,y \ ((y * z) * u)). [para(1617(a,1),12837(a,1,2)),flip(a)]. 12891 K(x,(L(y,z,u) \ y) \ w) = K(x,(y \ L(y,z,u)) * w). [para(9552(a,1),12837(a,1,2,1))]. 12892 T(T(x,K(y,z * u)),y * ((1 / z) \ u)) = T(x,((1 / z) \ u) * y). [para(12837(a,1),11000(a,1,1,2))]. 12894 K(x,((y \ 1) \ z) * y) = K(x,y * (z * y)). [hyper(11061,a,12838,a)]. 12896 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(65,a,9199,a(flip),b,12838,a)]. 12897 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(120,a,12838,a(flip),b,12789,a)]. 12898 K(x,(y * y) * z) = K(x,y * (y * z)). [para(808(a,1),12838(a,1,2))]. 12899 K(x,L((y \ 1) \ z,u,w)) = L(K(x,y * z),u,w). [para(12838(a,1),11433(a,1,1)),flip(a)]. 12900 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(615,a,12842,a),flip(a)]. 12903 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(12842(a,1),6752(a,1,1))]. 12906 T(x,y \ ((y \ 1) \ z)) = T(x,z). [para(10(a,1),12856(a,1,2)),flip(a)]. 12907 K(x,y) * T(x * K(y,x),z \ u) = T(x,T((z \ 1) * u,y)). [para(12856(a,1),8525(a,1,2))]. 12908 K(x,T(y,z \ u) / ((z \ 1) * u)) != w | K(x,((z \ 1) * u) \ y) = w. [para(12856(a,1),12314(a,1,2,1))]. 12909 T(x,(K(y,z) * u) \ w) = T(x,(u \ K(z,y)) * w). [para(12815(a,1),12856(a,1,2,1)),flip(a)]. 12910 ((1 / x) \ y) \ ((x * x) * y) = T(x,x * y). [hyper(65,a,678,a,b,12857,a)]. 12911 T(T(T(x,y) / y,y \ 1),y * y) = (((y \ 1) \ 1) \ (((y \ 1) \ 1) \ x)) * ((y \ 1) \ 1). [hyper(65,a,11870,a(flip),b,12857,a),flip(a)]. 12912 T(x / ((1 / y) \ z),y * y) = (y \ 1) * (y \ (x / (y \ z))). [hyper(65,a,5370,a(flip),b,12857,a),flip(a)]. 12913 ((x \ 1) \ 1) \ (y * ((1 / x) \ x)) = x \ ((x * x) * T(y,x * x)). [para(12857(a,1),2868(a,2,2,2))]. 12914 T(1 / x,x * y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). [para(12857(a,1),3517(a,1,1))]. 12915 K(x,T(y,z * u) * ((z \ 1) \ u)) = K(x,((1 / z) \ u) * y). [para(12857(a,1),11028(a,1,2,1))]. 12917 T(x,(y * y) * z) = T(x,y * (y * z)). [para(808(a,1),12858(a,1,2))]. 12918 K(x,T(y,z * u) * ((z \ 1) \ u)) = K(x,((z \ 1) \ u) * y). [para(12858(a,1),11027(a,1,2,1))]. 12919 K(x,T((y * z) * (z \ u),z * u)) = K(x,((z \ 1) \ u) * (y * (z \ 1))). [para(12858(a,1),10994(a,1,2))]. 12920 K(x,y) * (K(y,x) / z) = 1 / z. [para(81(a,1),12861(a,1,2)),flip(a)]. 12924 (x * K(y,z)) * (u \ ((u \ 1) \ y)) != w | x * T(u \ ((u \ 1) \ y),z) = w. [para(12870(a,1),5744(a,1,1,2))]. 12925 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(290,a,4751,a,b,12900,a),flip(a)]. 12926 1 / (x * K(y,z)) = K(z,y) / x. [hyper(190,a,12900,a)]. 12927 T(x,R((y * K(z,u)) \ 1,w,v5)) = T(x,R(K(u,z) / y,w,v5)). [para(12900(a,1),4078(a,1,2,1,1))]. 12928 K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). [para(12900(a,1),4981(a,1,1,1,1))]. 12932 (x \ ((x \ 1) \ y)) * T(z,y) = z * (x \ ((x \ 1) \ y)). [para(12906(a,1),104(a,1,2))]. 12933 (x \ ((x \ 1) \ y)) * T(z,y) != u | z * (x \ ((x \ 1) \ y)) = u. [para(12906(a,1),268(a,1,2))]. 12934 (x \ ((x \ 1) \ y)) * (T(1 / x,y) * z) = ((x \ y) / (1 / x)) * ((1 / x) * z). [para(12906(a,1),9190(a,1,2,1))]. 12935 K(x,T(y,z) * (u \ ((u \ 1) \ z))) != w | K(x,(u \ ((u \ 1) \ z)) * y) = w. [para(12906(a,1),11060(a,1,2,1))]. 12936 K(x,T(y,z) \ (u \ ((u \ 1) \ z))) != w | K(x,(u \ ((u \ 1) \ z)) / y) = w. [para(12906(a,1),12369(a,1,2,1))]. 12937 K(x,y) * (1 / z) = K(x,y) / z. [hyper(4842,a,12920,a)]. 12939 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(12920(a,1),4843(a,1,2)),flip(b)]. 12940 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(12920(a,1),6736(a,1,1)),flip(a)]. 12941 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(12920(a,1),7480(a,1,1)),flip(a)]. 12942 a(x * (K(y,z) / u),w,v5) = a(x * (u * K(z,y)),w,v5). [para(12926(a,1),2922(a,1,1,2))]. 12943 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3265(a,1),12926(a,1,2))]. 12944 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [para(5339(a,1),12926(a,1,2)),flip(a)]. 12945 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(12926(a,1),5255(a,1,2,1,2,2))]. 12947 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(12808(a,1),12926(a,1,2)),flip(a)]. 12949 K(x,y) * ((z * z) \ z) = K(x,y) / z. [para(441(a,2),12937(a,1,2))]. 12950 a(K(x,y) / z,u,w) = a(K(x,y) * z,u,w). [para(12937(a,1),2922(a,1,1))]. 12951 T(K(x * y,x) / z,K(x,y)) = (1 / z) * K(x * y,x). [para(12937(a,1),7678(a,1,1))]. 12952 K(x,y) * ((1 / z) * x) = (K(x,y) / z) * x. [para(12937(a,1),9686(a,1,1)),flip(a)]. 12953 K(x,y) * ((1 / z) * y) = (K(x,y) / z) * y. [para(12937(a,1),9793(a,1,1)),flip(a)]. 12954 x / (y \ L(y,z,z)) = (y \ L(y,z,z)) \ x. [para(12786(a,1),254(a,1,2))]. 12956 (x * ((y * y) * T(z,u))) / z = x * (y * (y * K(z,u))). [para(12793(a,1),6152(a,2,2))]. 12957 (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). [para(12807(a,1),4896(a,1,2,1))]. 12958 x \ ((y * y) * (z * ((y * y) \ x))) = T(z,y \ (y \ x)). [hyper(991,a,12813,a)]. 12959 ((x * x) \ y) * K(z,T(u,x \ (x \ y))) = K(z,u) * ((x * x) \ y). [para(12813(a,1),7102(a,1,2,2))]. 12960 1 / (x \ K(y,T(x,z \ (z \ u)))) = T(x,T(y,(z * z) \ u)). [para(12813(a,1),7190(a,1,2,2,2))]. 12961 L(x,T(y,z \ (z \ u)),u) = L(x,y,(z * z) \ u). [para(12813(a,1),10926(a,1,2))]. 12963 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(12878(a,1),4166(a,1,1))]. 12966 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11504,a,12879,a)]. 12968 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(12966(a,1),450(a,1,2)),flip(a)]. 12969 K(x,(y * y) * ((1 / z) * u)) = K(x,y * (y * ((z \ 1) * u))). [hyper(65,a,5266,a,b,12898,a)]. 12970 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(12944(a,1),5193(a,1,1))]. 12971 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8581,a,12947,a),flip(a)]. 12972 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(1848(a,1),12822(a,1))]. 12973 K(x,y * (z \ 1)) = K(x,y / z). [hyper(12972,a,12029,a),flip(a)]. 12974 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(11433(a,1),12972(a,1))]. 12975 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(12029(a,1),12972(a,1))]. 12976 K(x,y / (z \ 1)) = K(x,y * z). [hyper(12326,a,12973,a),flip(a)]. 12977 K(x,y * (1 / z)) = K(x,y / z). [hyper(12316,a,12973,a)]. 12978 K(x,y / (1 / z)) = K(x,y * z). [para(81(a,1),12973(a,1,2,2)),flip(a)]. 12979 T(x,y * (1 / z)) = x * K(x,y / z). [para(12973(a,1),4539(a,1,2)),flip(a)]. 12980 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(12973(a,1),12326(a,1))]. 12981 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(12815(a,1),12973(a,1,2,2)),flip(a)]. 12982 K(x,L(y / (z \ 1),u,w)) = K(L(x,u,w),y * z). [hyper(11478,a,12976,a)]. 12983 K(x,y / ((z * z) \ u)) = K(x,y * (u \ (z * z))). [para(440(a,1),12978(a,1,2,2))]. 12987 K(x,L(y,z,z)) != u | K(x,y) = u. [para(1846(a,1),12974(a,1,2))]. 12988 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(1851(a,1),12974(a,1,2))]. 12990 K(x,K(y,z * (u \ 1))) != w | K(x,K(y,z / u)) = w. [para(12029(a,1),12974(a,1,2))]. 12991 K(x,(y * y) \ z) != u | K(x,y \ (y \ z)) = u. [para(273(a,1),12987(a,1,2))]. 12993 T(x,y * (1 / z)) = T(x,y / z). [hyper(290,a,4471,a,b,12979,a),flip(a)]. 12994 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(12979(a,2),4475(a,1))]. 12995 T(x,y * (z \ 1)) = T(x,y / z). [hyper(5179,a,12993,a)]. 12996 T(x * (1 / (1 / y)),(1 / y) / y) = ((1 / y) \ 1) * T(x,1 / y). [hyper(65,a,6631,a(flip),b,12993,a),flip(a)]. 12997 T(x,(y / (z \ 1)) * (1 / u)) = T(x,(y / (1 / z)) / u). [hyper(65,a,4067,a(flip),b,12993,a)]. 12998 T(x,y / (1 / z)) = T(x,y * z). [hyper(65,a,4062,a(flip),b,12993,a),flip(a)]. 13001 K(x * (1 / y),z) = z / T(z,x / y). [para(12993(a,1),4408(a,2,2))]. 13003 T(x,y / (z \ L(z,u,w))) = T(x,y * (L(z,u,w) \ z)). [para(9552(a,1),12993(a,1,2,2)),flip(a)]. 13004 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(65,a,12856,a(flip),b,12995,a),flip(a)]. 13006 T(x,T(y * z,y * y) * y) != u | T(x,T(z * (y * y),y)) = u. [para(12998(a,1),8759(a,1))]. 13007 K(x * (1 / y),z) = K(x / y,z). [hyper(290,a,4408,a,b,13001,a),flip(a)]. 13008 K(x * (1 / y),z) != u | K(x / y,z) = u. [para(13001(a,2),4510(a,1))]. 13009 K(x * (y \ 1),z) = K(x / y,z). [hyper(6130,a,13007,a)]. 13010 K(x / (1 / y),z) = K(x * y,z). [hyper(6125,a,13007,a),flip(a)]. 13011 K(x / (1 / y),z) != u | K(x * y,z) = u. [para(13007(a,1),6125(a,1))]. 13012 K((1 / x) / y,z) = K(x \ (y \ 1),z). [hyper(65,a,12798,a(flip),b,13009,a),flip(a)]. 13013 K(x * (y \ K(z,y)),u) = K(x / T(y,z),u). [para(4417(a,1),13009(a,1,1,2))]. 13014 K(x,y * (z \ 1)) * a(u,w,K(y / z,x)) = K(x,L(y * (z \ 1),w,u)). [para(13009(a,1),11442(a,1,2,3))]. 13016 T(x,((y * y) * ((z \ 1) \ 1)) / u) = T(x,(z \ (y \ (y \ 1))) \ (u \ 1)). [para(2355(a,1),13004(a,1,2,1))]. 13017 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K(y \ (x \ 1),z),u). [para(13012(a,1),6589(a,2,1))]. 13018 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(4982(a,1),12834(a,1))]. 13019 T(x,T(y * z,y * y)) != u | T(x,y \ (z * (y * y))) = u. [para(994(a,1),12854(a,1,2))]. 13020 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(4060(a,1),12854(a,1))]. 13022 K(x,(y * y) * z) != u | K(x,y * (y * z)) = u. [para(808(a,1),12888(a,1,2))]. 13024 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11129(a,2),12888(a,1))]. 13025 T(x \ 1,K(y,z)) * K(u,w) != v5 | T(x,K(y,z)) \ K(u,w) = v5. [para(8164(a,2),12903(a,1,1))]. 13028 K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. [para(4415(a,2),12939(a,1,2))]. 13029 K(x,y) * (K(z,u) / w) != v5 | K(x,y) / (w * K(u,z)) = v5. [para(12926(a,1),12939(a,1,2))]. 13032 (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). [para(12968(a,2),6767(a,1,1)),flip(a)]. 13033 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7511(a,1),12968(a,2,1,2)),flip(a)]. 13034 K(x,y * ((z * z) * ((u * w) \ 1))) != v5 | K(x,y / (u * (w / (z * z)))) = v5. [para(806(a,1),12975(a,1,2,2))]. 13035 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5027(a,2),12975(a,1))]. 13036 K(x,y * ((z \ u) \ K(z,u))) != w | K(x,y / (z \ T(u,z))) = w. [para(12864(a,1),12975(a,1,2,2))]. 13037 K(x,y / (1 / z)) != u | K(x,y * z) = u. [para(5032(a,2),12980(a,1))]. 13038 K(x,(K(y,z) / z) * u) != w | K(x,T(z,y) \ u) = w. [para(4415(a,2),12988(a,1,2,1))]. 13039 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5017(a,1),12988(a,1))]. 13040 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(4056(a,1),12994(a,1))]. 13041 K(x * (y \ 1),z) != u | K(x / y,z) = u. [para(4984(a,1),13008(a,1))]. 13042 K(x / (y * K(z,y)),u) != w | K(x * (y \ K(y,z)),u) = w. [para(4926(a,1),13011(a,1,1,2))]. 13043 K(x / (K(y,z) * u),w) != v5 | K(x * (u \ K(z,y)),w) = v5. [para(12861(a,1),13011(a,1,1,2))]. 13044 T(x,(y \ (z * z)) * u) != w | T(x,y \ ((z * z) * u)) = w. [para(437(a,1),13020(a,1,2))]. 13045 K(x,y * ((y \ 1) \ (z * (1 / u)))) != w | K(x,(y * ((y \ 1) \ z)) / u) = w. [para(1097(a,1),13035(a,1,2))]. 13046 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(12861(a,1),13037(a,1,2,2))]. 13047 K(x,(y \ (z * z)) * u) != w | K(x,y \ ((z * z) * u)) = w. [para(437(a,1),13039(a,1,2))]. 13049 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(5338,a,12777,a),flip(a)]. 13050 (x * T(y,a(z,u,w))) \ (x * y) = a(z,u,K(w,y)). [hyper(290,a,6762,a,b,13049,a)]. 13051 T(x,a(y,z,u)) \ x = a(y,z,K(u,x)). [hyper(290,a,4400,a(flip),b,13049,a)]. 13052 K(a(x,x,y),z) = 1. [hyper(65,a,12780,a(flip),b,13049,a),flip(a)]. 13053 K(a(x,y,z),y) = 1. [hyper(65,a,5793,a(flip),b,13049,a),flip(a)]. 13054 K(a(x,y,y),z) = 1. [hyper(65,a,5785,a(flip),b,13049,a),flip(a)]. 13055 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(13049(a,2),4471(a,2,2)),flip(a)]. 13056 (a(x,y,z) * u) / a(x,y,z) = u * a(x,y,K(z,u)). [para(13049(a,2),4434(a,2,2))]. 13057 a(x,y,z) * a(x,y,K(z,u)) != w | T(a(x,y,z),u) = w. [para(13049(a,2),4475(a,1,2))]. 13058 x * a(y,z,K(u,x)) != w | (a(y,z,u) * x) / a(y,z,u) = w. [para(13049(a,2),4444(a,1,2))]. 13059 (x / y) * a(z,u,K(w,y)) = x / T(y,a(z,u,w)). [para(13049(a,2),6735(a,1,2))]. 13060 (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = w * a(x,y,K(z,T(w,u))). [para(13049(a,2),7189(a,2,2))]. 13061 T((x / a(y,z,u)) * a(y,z,K(u,a(y,z,u) \ x)),(a(y,z,u) \ x) * a(y,z,u)) = L(x / a(y,z,u),a(y,z,u),x / a(y,z,u)). [para(13049(a,2),11124(a,1,1,2))]. 13062 a(x,y,K(z,u)) * (1 / w) = K(a(x,y,z),u) / w. [para(13049(a,2),12937(a,1,1))]. 13063 T(a(x,x,y),z) = a(x,x,y). [hyper(58,a,13052,a)]. 13064 T(a(x,y,z),y) = a(x,y,z). [hyper(58,a,13053,a)]. 13065 T(a(x,y,y),z) = a(x,y,y). [hyper(58,a,13054,a)]. 13066 a(x,y,y) * z = z * a(x,y,y). [para(13065(a,1),104(a,1,2)),flip(a)]. 13067 x * L(a(y,z,z),u,w) != v5 | L(a(y,z,z),u,w) * x = v5. [para(13065(a,1),379(a,1,2,1))]. 13068 L(a(x,y,y),z,u) * (u * z) = u * (z * a(x,y,y)). [para(13065(a,1),624(a,1,2,2)),flip(a)]. 13069 (x * a(y,z,z)) / (a(y,z,z) * T(x,u)) = K(u,x). [para(13066(a,2),4744(a,1,2))]. 13070 ((x * K(y * x,a(z,u,u))) * a(z,u,u)) * y = (x * y) * R(a(z,u,u),x,y). [para(13066(a,1),11032(a,1,1))]. 13071 a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. [para(13051(a,1),4501(a,1))]. 13073 T(x,((y \ 1) * z) \ 1) = T(x,z \ y). [hyper(290,a,5935,a(flip),b,12811,a),flip(a)]. 13074 T(x,(y * z) \ (y * y)) = T(x,z \ y). [hyper(65,a,4227,a(flip),b,13073,a)]. 13075 ((x \ L(x,y,y)) \ 1) \ K(z,u) = (x \ L(x,y,y)) * K(z,u). [para(12786(a,1),12816(a,1,1)),flip(a)]. 13076 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(12819(a,1),6818(a,2,1))]. 13077 L(T(x,x \ 1) \ y,x,x * K(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). [hyper(65,a,11259,a(flip),b,12824,a),flip(a)]. 13079 K(x,((y * y) \ z) * y) = K(x,(K(z,y) / y) * z). [hyper(290,a,12805,a(flip),b,12839,a)]. 13080 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(65,a,8491,a,b,12860,a)]. 13082 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(12940(a,1),10359(a,1,1))]. 13083 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(12926(a,2),12940(a,1,1))]. 13084 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(12943(a,1),4276(a,1,2,2)),flip(a)]. 13085 (K(x,y) / z) * a(K(x,y) * z,u,u) = R(K(x,y) / z,u,u). [para(12950(a,1),2198(a,1,2))]. 13086 a(K(x,y) / ((K(x,y) \ 1) \ z),u,w) = a((K(x,y) \ (1 / K(x,y))) \ z,u,w). [para(2319(a,2),12950(a,2,1))]. 13087 ((x * x) \ y) * x = (K(y,x) / x) * y. [hyper(65,a,7746,a(flip),b,12952,a)]. 13088 T(x,y) * K(x * y,z) = y \ T(x * y,z). [hyper(65,a,11138,a(flip),b,12963,a)]. 13089 T(T(x * K(y * x,z),u),y) = T(y \ T(x * y,z),u). [para(12963(a,1),23(a,1,1)),flip(a)]. 13090 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(12970(a,1),5267(a,1,2,2,1)),flip(a)]. 13091 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4779(a,1),12971(a,1,2))]. 13092 x \ T(y * x,T(y,z)) = R(T(y,K(x,z)),x,y). [hyper(10127,a,13088,a),flip(a)]. 13093 (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). [para(13088(a,1),6732(a,1,1))]. 13094 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5198(a,1),13091(a,2,2))]. 13095 K(x,((y * y) \ z) * u) != w | K(x,y \ (y \ (z * u))) = w. [para(400(a,1),12991(a,1,2))]. 13096 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(37,a,4373,a(flip),b,12882,a),flip(a)]. 13097 K(x,L((1 / y) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(12889(a,2),11478(a,1))]. 13098 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(65,a,6401,a,b,12896,a)]. 13099 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(10(a,1),12897(a,1,2,2)),flip(a)]. 13100 K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [hyper(290,a,11433,a(flip),b,12899,a),flip(a)]. 13101 K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(12899(a,2),11458(a,1))]. 13102 L(x,T(y,z \ (z \ u)),u) = L(x,y,u). [hyper(290,a,1838,a(flip),b,12961,a),flip(a)]. 13104 K(x,y * ((z * u) \ K(w,z))) = K(x,y / (T(z,w) * u)). [para(4492(a,1),12981(a,1,2,2)),flip(a)]. 13105 K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). [para(4889(a,1),12981(a,1,2,2)),flip(a)]. 13106 K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). [hyper(290,a,11461,a(flip),b,12982,a),flip(a)]. 13107 K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(12982(a,2),11478(a,1))]. 13108 K(x,(y / z) * (u * u)) = K(x,y * (z \ (u * u))). [para(685(a,1),12983(a,1,2))]. 13109 a(x,y,K(z,u)) * (1 / w) = a(x,y,K(z,u)) / w. [para(13049(a,2),13062(a,2,1))]. 13110 K(x,(K(y * z,u) / u) * (y * z)) = K(x,(((u * u) \ y) * z) * u). [para(400(a,1),13079(a,1,2,1)),flip(a)]. 13111 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(65,a,8168,a(flip),b,13083,a)]. 13112 K(x,y * z) * (z * y) = (z * y) * K(x,y * z). [hyper(11134,a,13111,a),flip(a)]. 13113 (1 / (K(x,y) * z)) * K(x,y) = 1 / z. [hyper(6740,a,13111,a(flip))]. 13114 L(x,y,(1 / z) * K(u,w)) = L(x,y,K(w,u) * z). [para(13111(a,1),1844(a,1,3))]. 13115 K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. [para(13111(a,1),12939(a,1,2))]. 13116 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(65,a,9558,a,b,13098,a)]. 13117 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(6809,a,13099,a),flip(a)]. 13118 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(1031(a,1),13099(a,1,2,2)),flip(a)]. 13119 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(12817,a,13117,a)]. 13120 (x \ y) * K(y,z) = x \ T(y,z). [hyper(6740,a,13119,a)]. 13121 (x / (T(x,y) / y)) \ T(y,x) = K(y,y \ x). [hyper(37,a,8461,a(flip),b,13119,a),flip(a)]. 13125 T(x \ T(y,z),K(y,z)) = K(y,z) * (x \ y). [para(13119(a,1),7482(a,1,2)),flip(a)]. 13126 (x / y) \ T(x,z) = y * K(x,z). [hyper(615,a,13120,a),flip(a)]. 13128 K(x,T(y,z)) * (z \ x) = z \ T(x,y). [hyper(65,a,8096,a,b,13120,a)]. 13130 T(x,T(y \ T(x,z),u)) = T(x,T(y \ x,u)). [para(13120(a,1),8001(a,1,2,1))]. 13133 T(x,y) / (z * K(x,y)) = x / z. [hyper(190,a,13126,a)]. 13134 (x / y) * (y * K(x,z)) = T(x,z). [hyper(141,a,13126,a)]. 13138 T(x,y) / (1 / y) = x / (K(y,x) / y). [para(6549(a,1),13133(a,1,2))]. 13141 T(x,y) / (z \ x) = K(x,y) * z. [hyper(121,a,13134,a(flip),b,11691,a)]. 13142 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(120,a,13134,a(flip),b,11691,a)]. 13143 T(x,y) / ((y \ z) \ x) = T(y,x) \ z. [hyper(290,a,4889,a(flip),b,13141,a),flip(a)]. 13144 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(290,a,4756,a(flip),b,13141,a),flip(a)]. 13147 (K(x,y) * z) \ y = z \ T(y,x). [para(4837(a,1),13142(a,1,1)),flip(a)]. 13148 x \ T(y,z) != u \ y | K(z,y) * x = u. [para(13147(a,1),50(a,1))]. 13150 (T(x,y) \ z) * ((x \ z) \ y) = T(y,x). [hyper(139,a,13143,a)]. 13151 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(6355(a,1),13144(a,2,2))]. 13152 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(13150(a,1),7100(a,1,1,1))]. 13154 K((x \ y) \ y,L(z * u,w,v5)) = K(x,T(L((z \ 1) \ u,w,v5),y)). [hyper(7346,a,13100,a),flip(a)]. 13155 L(x,y,K(z,u) * w) = L(x,y,w * K(u,z)). [hyper(65,a,1861,a(flip),b,13114,a),flip(a)]. 13156 L(x,y,z * K(u,u \ z)) = L(x,y,(u \ z) * u). [para(4394(a,1),13155(a,1,3)),flip(a)]. 13157 L(x,y,(z \ u) * z) = L(x,y,z * (u / z)). [para(4672(a,1),13156(a,1,3)),flip(a)]. 13158 L(x,y,z * (u / z)) = L(x,y,T(u,z)). [hyper(65,a,12056,a(flip),b,13157,a),flip(a)]. 13159 L(x,y,z * ((z * u) / z)) = L(x,y,u * z). [para(9(a,1),13157(a,1,3,1)),flip(a)]. 13160 L(x,y,((1 / z) \ (z \ u)) * z) = L(x,y,z * (((z \ 1) \ u) / z)). [para(807(a,2),13157(a,1,3,1))]. 13161 L(x,y,z * (((z \ 1) \ u) / z)) = L(x,y,(z \ 1) \ T(u,z)). [para(2063(a,1),13157(a,1,3)),flip(a)]. 13162 L(x,y,T(z,u) * u) = L(x,y,u * z). [para(215(a,1),13159(a,1,3,2)),flip(a)]. 13163 L(x,y,z * ((T(z,u \ 1) / u) / z)) = L(x,y,((z / u) / z) * z). [para(3160(a,2),13159(a,1,3,2,1))]. 13166 T(x \ a(y,z,K(u,w)),K(a(y,z,u),w)) != v5 | K(a(y,z,u),w) * (x \ 1) = v5. [para(13049(a,2),12851(a,1,1,2))]. 13167 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(5027(a,2),12990(a,1,2))]. 13168 x * ((x \ y) * a(z,u,K(w,x \ y))) = y * K(a(z,u,w),x \ y). [para(13056(a,1),5819(a,2,2)),flip(a)]. 13169 ((x * (y * a(z,u,u))) / y) \ (L(a(z,u,u),y,x) * (y * x)) = T(y,x). [para(13068(a,1),10844(a,1,1,1))]. 13170 (x * K(y,z)) * T(x,K(y,z)) = K(y,z) * (x * x). [hyper(290,a,8,a(flip),b,12782,a),flip(a)]. 13172 (K(x,y) * z) * z = K(x,y) * (z * z). [hyper(65,a,7686,a(flip),b,13170,a)]. 13173 K(x,y) * (z * z) = z * (z * K(x,y)). [hyper(65,a,12547,a(flip),b,13172,a),flip(a)]. 13174 x * (x * K(y,x \ 1)) = T(x \ 1,y) \ x. [hyper(5147,a,13173,a),flip(a)]. 13175 T(x * x,K(y,z)) = x * x. [hyper(229,a,12793,a,b,13173,a)]. 13176 T(K(x,y),z * z) = K(x,y). [hyper(229,a,13173,a,b,12793,a)]. 13178 T(x * x,T(y,z)) = T(x * x,y). [para(13175(a,1),7912(a,1,1)),flip(a)]. 13179 K(x,T(y,z * z)) = K(x,y). [hyper(7582,a,13176,a),flip(a)]. 13180 K(x,y) / (z * z) = (z * z) \ K(x,y). [hyper(121,a,13176,a(flip),b,621,a)]. 13181 K(x,T(y,z * z)) != u | K(x,y) = u. [para(13176(a,1),7582(a,1))]. 13182 K((x * x) * y,z) = K(y * (x * x),z). [hyper(11022,a,13179,a),flip(a)]. 13183 K(x,((y * y) \ z) * u) = K(x,z * (u / (y * y))). [para(993(a,1),13179(a,1,2))]. 13184 K(x,T(y,z * (u * u))) = K(x,T(y,z)). [para(1722(a,1),13179(a,1,2))]. 13185 K(x,(y * y) * z) != u | K(x,z * (y * y)) = u. [para(13179(a,1),11059(a,1))]. 13186 K(x,y) * ((z * z) \ x) = (z * z) \ T(x,y). [para(13179(a,1),13128(a,1,1))]. 13187 (T(x,y) \ 1) \ ((z * z) * T(x,y)) = (T(x,y) * T(x,y)) * T(z * z,x). [para(13178(a,1),809(a,2,2))]. 13188 K(x * x,y) * (z * (x * x)) = z * T(x * x,y). [para(13178(a,1),7966(a,2,2))]. 13189 K(x,T(y,z * (u * u))) != w | K(x,T(y,z)) = w. [para(1722(a,1),13181(a,1,2))]. 13190 K(x,y) / (z * z) = z \ (z \ K(x,y)). [hyper(290,a,12846,a(flip),b,13180,a),flip(a)]. 13191 ((x * x) \ K(y,z)) * u = K(y,z) * ((x * x) \ u). [para(13180(a,1),707(a,1,1))]. 13192 (x * x) * (y * ((x * x) \ K(z,u))) = T(y * K(z,u),x \ (x \ 1)). [para(13180(a,1),1006(a,1,2,2))]. 13193 K((x \ y) * (x * x),z) = K((x \ 1) \ y,z). [para(805(a,1),13182(a,1,1)),flip(a)]. 13194 T(x,y) \ (T(x,z) / (u * u)) = K(x,z) * (u \ (u \ K(y,x))). [para(13190(a,1),5651(a,2,2))]. 13195 (x \ 1) * (x \ T(1 / x,y)) = (x * x) \ T(x \ 1,y). [hyper(65,a,6428,a(flip),b,13186,a)]. 13196 T(x,T(y,z * z)) = T(x,y). [hyper(40,a,13128,a(flip),b,13186,a(flip)),flip(a)]. 13197 T(x,K(y,z * z)) = x. [hyper(42,a,8195,a(flip),b,13196,a),flip(a)]. 13198 (((x \ 1) * (y * x)) / (x \ 1)) / T(1 / x,x * y) = y * (x * x). [para(13196(a,1),3882(a,1,2))]. 13199 K(x,T(y * y,z)) = K(x,y * y). [hyper(10358,a,13197,a)]. 13200 T(x,T(y * y,z)) = T(x,y * y). [hyper(7963,a,13197,a)]. 13201 T(x,K(y,z * z)) != u | x = u. [para(13197(a,1),51(a,2))]. 13202 x * K(y,z * z) != u | K(y,z * z) * x = u. [para(13197(a,1),7492(a,1))]. 13204 T(x,y \ (z * z)) != u | T(x,(z * z) / y) = u. [para(8324(a,1),13201(a,1))]. 13205 L(x \ T(y,z * z),x,T(z * z,u)) = (T(z * z,u) * x) \ (y * T(z * z,u)). [para(13200(a,1),484(a,1,1,2))]. 13206 K((x \ 1) \ y,x * x) = K(x \ y,x * x). [hyper(65,a,5383,a(flip),b,13193,a),flip(a)]. 13207 K(x \ y,x * x) = K(x * y,x * x). [hyper(13018,a,13206,a),flip(a)]. 13208 K(x,y * (z * z)) = K(x,z * (z * y)). [hyper(13185,a,12898,a)]. 13209 K(x,y * (y * z)) != u | K(x,z * (y * y)) = u. [para(12898(a,1),13185(a,1))]. 13210 K(x,T(y * y,z)) * (((x * T(y * y,z)) \ u) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). [hyper(290,a,10643,a,b,13188,a)]. 13212 ((x * x) \ K(y,z)) * x = K(y,z) / x. [hyper(290,a,12949,a(flip),b,13191,a),flip(a)]. 13213 (K(x,T(y,z)) * z) * (1 / z) = (z \ K(x,y)) * z. [para(8086(a,1),12852(a,1,1,1))]. 13214 K(x,T(y,z)) * (z \ 1) = z \ K(x,y). [hyper(1012,a,13213,a)]. 13215 T(x,((y * y) / z) * u) = T(x,(y * y) * (z \ u)). [para(594(a,1),12859(a,1,2,1))]. 13216 T(x,((y * y) / z) * u) = T(x,y * (y * (z \ u))). [hyper(290,a,12917,a(flip),b,13215,a),flip(a)]. 13217 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12869(a,1),11743(a,1,1))]. 13218 K(x,(y * y) * ((z \ 1) * u)) = K(x,(z / (y * y)) \ u). [para(33(a,1),12886(a,1,2))]. 13219 K(x,y \ ((y * (y * z)) * u)) = K(x,y * (L(z,y,y) * u)). [para(665(a,1),12890(a,1,2,2,1)),flip(a)]. 13220 K(x,y * (((1 / y) * y) * (z * ((y * y) \ u)))) = K(x,y \ (T(z,y \ (y \ 1)) * u)). [para(1191(a,1),12890(a,2,2,2))]. 13221 K(x,(y \ L(y,z,z)) * u) = K(x,a(z,z,y) \ u). [para(2221(a,1),12891(a,1,2,1)),flip(a)]. 13222 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4870(a,1),12928(a,1,1,1)),flip(a)]. 13223 T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. [para(12957(a,1),4900(a,1))]. 13224 T(x,(y * y) * ((z * u) \ 1)) != w | T(x,(u / (y * y)) \ (z \ 1)) = w. [para(806(a,1),13223(a,1,2))]. 13225 x \ (T(y,z \ (z \ 1)) * x) = T(y,z \ (z \ x)). [para(1191(a,1),12958(a,1,2))]. 13226 T(T(x,y \ (y \ 1)),z) = T(x,y \ (y \ z)). [hyper(311,a,13225,a)]. 13227 T(x * K(y,x),z \ (z \ y)) = T(x,z \ (z \ 1)). [hyper(4620,a,13226,a),flip(a)]. 13228 T(T(x,y),z \ (z \ 1)) = T(x,z \ (z \ y)). [hyper(824,a,13226,a)]. 13229 T(x,y \ (y \ 1)) = T(x,y \ (y \ x)). [hyper(823,a,13226,a)]. 13230 T(x \ 1,x \ (x \ y)) = T(1 / x,y). [para(4095(a,1),13226(a,1,1)),flip(a)]. 13231 T(x,y \ (y \ x)) = x * K(y * y,x). [hyper(5511,a,13229,a),flip(a)]. 13232 T(T(x,y \ (y \ x)),z) = T(x,y \ (y \ z)). [para(13229(a,1),13226(a,1,1))]. 13233 T(1 / x,x * y) = T(x \ 1,x \ y). [para(9(a,1),13230(a,1,2,2)),flip(a)]. 13234 T(x \ 1,x \ T(y,x)) = T(1 / x,y * x). [para(22(a,2),13230(a,1,2,2))]. 13235 K(x,y \ (y \ x)) = K(y * y,x). [hyper(4543,a,13231,a)]. 13236 T(T(T(x,y \ (y \ x)),y),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(13231(a,2),6604(a,1,1,1))]. 13237 K(x * x,x) = K(x,x \ 1). [hyper(5360,a,13235,a),flip(a)]. 13238 K(x,x \ 1) = a(x,x,x). [hyper(1007,a,13237,a),flip(a)]. 13239 (x \ 1) \ a(x,x,x) = x. [hyper(120,a,13238,a(flip),b,2560,a(flip))]. 13240 x \ a(x,x,x) = 1 / x. [hyper(120,a,13238,a(flip),b,1793,a(flip))]. 13241 T(a(x,x,x) * y,x \ 1) = (x \ 1) \ (y * (1 / x)). [para(13238(a,1),2588(a,1,1,1))]. 13242 (x \ 1) \ L((x \ 1) * a(x,x,x),y,z) = (x \ 1) * L(x,y,z). [para(13239(a,1),4340(a,2,2,1))]. 13243 L(x,x,x) \ 1 = 1 / x. [hyper(65,a,8455,a,b,13240,a)]. 13244 (1 \ L(x,x,x)) \ L(1 \ L(x,x,x),y,z) = 1 \ (L(x,x,x) * L(1 / x,y,z)). [para(13243(a,1),4348(a,2,2,2,1))]. 13245 (x * x) \ T(y,x \ (x \ z)) = T(y,z) / (x * x). [hyper(120,a,13228,a(flip),b,1002,a)]. 13246 T(T(x,y \ (y \ z)),u) = T(T(x,z),y \ (y \ u)). [para(13228(a,1),13226(a,1,1))]. 13247 (x * x) \ T(y,x \ 1) = T(y,x) / (x * x). [para(68(a,1),13245(a,1,2,2,2))]. 13248 T(T(x,y),y \ (y \ z)) = T(T(x,y \ 1),z). [para(68(a,1),13246(a,1,1,2,2)),flip(a)]. 13249 T(T(x,y),z \ (z \ 1)) != u | T(x,z \ (z \ y)) = u. [para(13246(a,1),194(a,1)),flip(b)]. 13250 L(x,T(T(y,z),u \ (u \ w)),w) = L(x,T(y,u \ (u \ z)),w). [para(13246(a,1),10920(a,1,2))]. 13252 a((a(x,x,x) * y) * K(x \ 1,a(x,x,x) * y),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). [para(13241(a,1),4913(a,2,1))]. 13253 T(x,(y / (1 / z)) / u) = T(x,(y / (z \ 1)) / u). [hyper(12994,a,12997,a),flip(a)]. 13255 T(x,y / (z \ L(z,u,u))) = T(x,y * a(u,u,z)). [para(2221(a,1),13003(a,2,2,2))]. 13256 T(x,(y \ L(y,z,z)) \ u) = T(x,u * a(z,z,y)). [para(12954(a,1),13255(a,1,2))]. 13257 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(290,a,10735,a(flip),b,13094,a),flip(a)]. 13258 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(183,a,13257,a),flip(a)]. 13259 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(13258(a,2),2464(a,2,1))]. 13260 K(x,y * (((z * K(z * u,z)) \ w) \ K(z * K(z * u,z),u))) = K(x,y / (R(z,u,z) \ w)). [para(5039(a,1),13105(a,2,2,2,1))]. 13261 x \ ((1 / x) * T(1 / x,y)) = (x * x) \ T(x \ 1,y). [hyper(65,a,2314,a,b,13195,a)]. 13262 K(x,y * (y * ((z \ 1) * u))) = K(x,(z / (y * y)) \ u). [hyper(13022,a,13218,a)]. 13263 (x * x) \ T(x \ 1,y) = x \ (T(x \ 1,y) / x). [para(9936(a,1),13261(a,1,2)),flip(a)]. 13264 T(x * (x \ (T(x \ 1,y) / x)),z) = T(T(x \ 1,y) * (x \ 1),z). [para(13263(a,1),4266(a,1,1,2))]. 13265 K(x,y * (y * ((z \ 1) * u))) = K(x,(y * y) * (z \ u)). [para(804(a,1),13262(a,2,2))]. 13266 K(x,y * (y * ((z \ 1) * u))) = K(x,y * (y * (z \ u))). [hyper(290,a,12898,a(flip),b,13265,a),flip(a)]. 13267 K(x,y * (y * ((1 / z) \ u))) = K(x,y * (y * (z * u))). [para(81(a,1),13266(a,1,2,2,2,1)),flip(a)]. 13268 L(x \ (y * K(z,u)),x,y) = ((1 / y) * x) \ K(z,u). [hyper(65,a,1844,a(flip),b,12818,a)]. 13269 T(x,y \ (z * (y * y))) = T(x,y * z). [hyper(13019,a,13196,a)]. 13270 T(x,(y \ z) * (y * y)) = T(x,y * z). [para(399(a,1),13269(a,1,2))]. 13271 L(T(x,x \ y),x,x) = T(x,x * y). [hyper(65,a,1724,a(flip),b,13270,a)]. 13272 T(x,y * (z * z)) = T(x,z * (z * y)). [para(9(a,1),13270(a,1,2,1))]. 13273 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(13270(a,1),13184(a,1,2)),flip(a)]. 13274 L(T(x * K(y,x),(x * K(y,x)) \ z),x * K(y,x),x * K(y,x)) = T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)). [hyper(290,a,4866,a,b,13271,a),flip(a)]. 13275 T(x,x * (x * y)) = L(T(x,y),x,x). [para(9(a,1),13271(a,1,1,2)),flip(a)]. 13276 L((x \ y) \ y,x,x) = T(x,x * y). [para(105(a,1),13271(a,1,1))]. 13277 T(x,(x * x) * y) = L(T(x,y),x,x). [hyper(65,a,12917,a,b,13275,a)]. 13278 x / L(T(x,y),x,x) != z | K(x * (x * y),x) = z. [para(13275(a,1),4510(a,1,2))]. 13279 L(T((x \ y) \ y,z),x,x) = T(T(x,x * y),z). [para(13276(a,1),25(a,2,1))]. 13280 L(x \ y,y / x,y / x) = T(y / x,(y / x) * y). [para(81(a,1),13276(a,1,1,1))]. 13281 L(T(1 / x,y * x),1 / x,1 / x) = T(1 / x,(1 / x) * y). [para(6217(a,2),13276(a,1,1))]. 13282 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [para(13272(a,1),13184(a,1,2))]. 13283 K(x,T(y * (z \ u),z * u)) = K(x,(z \ u) * y). [hyper(11056,a,13273,a),flip(a)]. 13284 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8110,a,13273,a)]. 13285 K(x,T(y,z \ (z \ u))) = K(x,T(y,u)). [para(10(a,1),13273(a,2,2,2))]. 13286 K(x,T(y,(z / u) * z)) = K(x,T(y,u)). [para(81(a,1),13273(a,1,2,2)),flip(a)]. 13288 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(13273(a,1),8111(a,1))]. 13289 L(K(x,T(y,z * u)),w,v5) = K(x,L(T(y,z \ u),w,v5)). [para(13273(a,1),11433(a,1,1))]. 13290 K(x * (x * y),T(z,y)) = K(x * (x * y),z). [hyper(4582,a,13282,a),flip(a)]. 13291 K(x,T(y,(z * z) * u)) = K(x,T(y,u)). [para(12917(a,2),13282(a,1,2))]. 13292 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(65,a,13273,a(flip),b,13284,a)]. 13293 K(x,T(y,z * (u \ z))) = K(x,T(y,u)). [para(12412(a,1),13286(a,1,2))]. 13294 K(x,((y * y) * z) * R(u \ 1,y * y,z)) = K(x,T((u \ (y * y)) * z,z)). [hyper(65,a,11104,a,b,13291,a)]. 13295 K(x,K(y,(z * z) * u)) = K(x,y) * K(y,T(x,u)). [para(13291(a,1),7434(a,1,2)),flip(a)]. 13297 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(13292(a,1),7102(a,1,2))]. 13298 K((x * y) \ z,T(u,y * x)) != w | K(z / (x * y),u) = w. [para(13292(a,1),7641(a,1))]. 13300 K(x,T((y * z) * u,z * y)) != w | K(x,u * (y * z)) = w. [para(13292(a,1),11059(a,1))]. 13301 T(x,y) \ T(x * K(z * (z * y),x),y) = K(z * (z * y),x). [hyper(65,a,5178,a,b,13290,a)]. 13302 T((x \ y) \ y,x * x) = T(x,x * y). [hyper(43,a,980,a(flip),b,13279,a),flip(a)]. 13303 a(x,T(y,y * z),u) = a(x,(y \ z) \ z,u). [para(13302(a,1),2212(a,1,2))]. 13304 K(x,K(y,(z * z) * u)) = K(x,K(y,u)). [hyper(290,a,7434,a(flip),b,13295,a),flip(a)]. 13305 K(x,K(y,z * (z * u))) = K(x,K(y,u)). [para(12898(a,1),13304(a,1,2))]. 13306 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [para(10(a,1),13305(a,1,2,2,2)),flip(a)]. 13307 K(x,K(y,z \ (z \ u))) = K(x,K(y,u)). [para(74(a,1),13305(a,1,2,2)),flip(a)]. 13308 K(x,K(y,z)) * K(y,x \ (u * (u * z))) = K(y,(u * (u * z)) / x). [para(13305(a,1),8009(a,1,1))]. 13309 K(x,K(y \ z,u)) = K(x,K(u,y * z)). [hyper(7462,a,13306,a)]. 13310 x * K(x,K(y,z * u)) = T(x,K(y,z \ u)). [para(13306(a,1),4471(a,2,2)),flip(a)]. 13311 K(x,K(y,z * u)) * K(x,y / (z \ u)) = K(x,(z \ u) \ y). [para(13306(a,1),8015(a,1,1))]. 13312 K(x,K(y,z * u)) * K(x,y / ((u \ z) \ 1)) = K(x,((u \ z) \ 1) \ y). [para(13306(a,1),8021(a,1,1))]. 13313 K(x,K(y,z * u)) * K(x,y / T(u / z,u)) = K(x,T(u / z,u) \ y). [para(13306(a,1),8023(a,1,1))]. 13314 K(x,K(y,z)) * K(x,(u \ (u \ z)) \ y) = K(x,y / (u \ (u \ z))). [para(13307(a,1),8011(a,1,1))]. 13315 K(x,K(y * (z \ u),z * u)) = K(x,K(y,z \ u)). [hyper(7635,a,13309,a),flip(a)]. 13316 K(x,K(y \ z,u)) = K(x,K(y * z,u)). [hyper(290,a,7429,a,b,13309,a),flip(a)]. 13317 K(x,K(y,z * u)) != w | K(x,K(y,z \ u)) = w. [para(13309(a,1),7462(a,1))]. 13319 K(x,K(y \ z,u)) != w | K(x,K(u,y * z)) = w. [para(13316(a,2),7462(a,1))]. 13320 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(4475,a,13310,a),flip(a)]. 13321 T(x,K(y,z \ u)) != w | T(x,K(y,z * u)) = w. [para(13310(a,1),4475(a,1))]. 13322 T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(z \ u) * y). [para(13320(a,1),11000(a,1,1))]. 13323 T(T(x,K(y,z * u)),((u \ z) \ 1) * y) = T(x,y * ((u \ z) \ 1)). [para(13320(a,1),10999(a,1,1))]. 13324 T(T(x,K(y,z * u)),y * (T(u,z) / z)) = T(x,(T(u,z) / z) * y). [para(13320(a,1),12298(a,1,1))]. 13325 K(x,K(y,z \ u)) != w | K(x,K(y,z * u)) = w. [para(7429(a,1),13319(a,1))]. 13327 (x * y) * K(z,L(T(u,y * x),w,v5)) = K(z,L(u,w,v5)) * (x * y). [para(25(a,2),13297(a,1,2,2))]. 13328 K(x,K(y * (z \ u),z * u)) = K(x,K(y,z * u)). [hyper(290,a,13306,a(flip),b,13315,a),flip(a)]. 13329 K(x,K(y * z,u * (y \ z))) = K(x,K(u,y * z)). [hyper(7462,a,13328,a)]. 13330 L(x \ y,y / x,x \ y) = T(y / x,(y / x) * y). [hyper(9882,a,13280,a)]. 13331 K(x,T(y,T(z,u))) = K(x,T(y,z)). [hyper(13288,a,13293,a)]. 13332 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [hyper(11059,a,13331,a),flip(a)]. 13333 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(7817,a,13331,a)]. 13335 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(290,a,7517,a(flip),b,13331,a),flip(a)]. 13337 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(106(a,1),13331(a,1,2,2)),flip(a)]. 13339 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(13331(a,1),7102(a,1,2))]. 13340 K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. [para(13331(a,1),7638(a,1))]. 13341 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(13331(a,1),10446(a,1,1))]. 13342 K(x * T(y,z),T(u,y)) != w | K(T(y,z) * x,u) = w. [para(13331(a,1),11013(a,1))]. 13347 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13333(a,1),9403(a,1,2))]. 13348 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(290,a,13273,a(flip),b,13337,a),flip(a)]. 13349 K(x,T(y,z \ u)) * (u / z) = (u / z) * K(x,y). [para(13337(a,1),7511(a,1,1))]. 13350 L(K(x,T(y,z \ u)),w,v5) = K(x,L(T(y,u / z),w,v5)). [para(13337(a,1),11433(a,1,1))]. 13352 K(x,T(K(y,z) * u,y)) = K(x,(y \ u) * T(y,z)). [para(4438(a,1),13332(a,1,2,1))]. 13353 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [hyper(7151,a,13339,a)]. 13354 T(x,y) * K(z * x,u) = K(x * z,u) * T(x,y). [para(11008(a,1),13339(a,1,2))]. 13355 T(x,T(y,K(z,u))) = T(x,y). [hyper(7969,a,13353,a),flip(a)]. 13356 T(K(x,y),K(z,u)) = K(x,y). [hyper(37,a,7971,a,b,13353,a)]. 13357 K(x,T(y,K(z,u))) = K(x,y). [hyper(37,a,7967,a,b,13353,a)]. 13360 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(65,a,10970,a(flip),b,13355,a),flip(a)]. 13361 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(65,a,8331,a(flip),b,13355,a),flip(a)]. 13364 K(x,K(y,z)) * u = u * K(x,K(y,z)). [hyper(42,a,7920,a,b,13355,a)]. 13365 T(x,K(y,K(z,u))) = x. [hyper(42,a,8195,a(flip),b,13355,a),flip(a)]. 13367 x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z). [para(13355(a,1),7576(a,1,1)),flip(a)]. 13368 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(7677(a,1),13355(a,1,2))]. 13372 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(10997(a,1),13355(a,1,2))]. 13373 K(x,K(y,K(z,u))) = 1. [hyper(57,a,13365,a)]. 13374 T(x,K(y,K(z,u))) != w | w = x. [para(13365(a,1),51(a,1)),flip(a)]. 13375 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(13365(a,1),268(a,1,2))]. 13376 T(x,K(y,z) / u) != w | T(x,u \ K(y,z)) = w. [para(13365(a,1),8327(a,1))]. 13377 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(13365(a,1),11031(a,1,1))]. 13378 K(K(x,y),K(z,u)) = 1. [hyper(7624,a,13373,a)]. 13383 K(K(x,y) / z,u) = K(z \ K(x,y),u). [hyper(6033,a,13356,a),flip(a)]. 13384 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(5975,a,13356,a),flip(a)]. 13387 K(T(x,K(y,z)),u) = K(x,u). [hyper(65,a,7161,a,b,13356,a)]. 13400 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13356(a,1),7582(a,1))]. 13402 T(x * K(y,z),K(x,u)) = x * K(y,z). [para(13356(a,1),7934(a,2,2))]. 13406 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(11059,a,13357,a),flip(a)]. 13407 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(11022,a,13357,a),flip(a)]. 13413 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(13357(a,1),7639(a,1))]. 13415 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(13357(a,1),7855(a,1,1))]. 13417 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(13357(a,1),9620(a,1,1))]. 13418 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(13357(a,1),11013(a,1))]. 13419 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(13357(a,1),11022(a,1))]. 13420 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(13357(a,1),11056(a,1))]. 13421 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(13357(a,1),11059(a,1))]. 13422 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,z * (y \ 1)). [para(13357(a,1),11078(a,1,1))]. 13426 K((x \ y) * K(z,x),u) = K(T(x,z) \ y,u). [para(7681(a,1),13387(a,1,1))]. 13428 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(7915(a,1),13374(a,1)),flip(b)]. 13429 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(6768(a,1),13400(a,1,2))]. 13431 K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. [para(7677(a,1),13400(a,1,2))]. 13432 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(7914(a,1),13400(a,1,2))]. 13433 K(L((x \ y) / K(z,u),K(z,u),x),w) != v5 | K((x * K(z,u)) \ y,w) = v5. [para(7594(a,2),13400(a,1))]. 13435 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(10997(a,1),13400(a,1,2))]. 13436 K((x \ y) * K(z,x),u) != w | K(T(x,z) \ y,u) = w. [para(7681(a,1),13413(a,1,1))]. 13437 T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. [para(6768(a,1),13428(a,1,2))]. 13438 T(x,K(y,z) * (u / z)) != w | T(x,u / T(z,y)) = w. [para(7677(a,1),13428(a,1,2))]. 13439 T(x * K(y,z),T(u,x)) != w | T(x * K(y,z),u) = w. [para(8163(a,1),13428(a,1))]. 13441 K(x,y / T((z * K(u,w)) * v5,K(u,w) * z)) != v6 | K(x,y / (v5 * (z * K(u,w)))) = v6. [para(13360(a,2),12401(a,1,2,2))]. 13442 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(7857,a,13364,a),flip(a)]. 13443 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7459,a,13364,a)]. 13444 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7457,a,13364,a)]. 13445 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7359,a,13364,a)]. 13446 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(290,a,8121,a(flip),b,13364,a),flip(a)]. 13447 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(290,a,7463,a(flip),b,13364,a),flip(a)]. 13448 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(290,a,7405,a(flip),b,13364,a),flip(a)]. 13450 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [hyper(37,a,7129,a,b,13364,a)]. 13451 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(13364(a,1),452(a,2,3))]. 13452 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(13364(a,2),452(a,2,3))]. 13453 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7411(a,1),13364(a,1,1))]. 13454 K(x,K(y,z)) * u = u * K(y,K(z,x)). [para(7415(a,1),13364(a,1,1))]. 13455 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(7429(a,1),13364(a,1,1))]. 13456 K(x,K(y,z)) * (u * z) != w | u * T(z,K(x,y)) = w. [para(13364(a,2),7442(a,1))]. 13457 K(x,y) * (z * K(x,K(y,u))) = K(x,T(y,u)) * z. [para(13364(a,1),8278(a,1,2))]. 13458 (K(x,y) * z) * K(x,K(y,u)) != w | K(x,T(y,u)) * z = w. [para(13364(a,1),7857(a,1))]. 13459 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(7965,a,13445,a)]. 13460 K(x,K(y,T(z,u))) = K(y,K(x,z)). [hyper(7413,a,13445,a)]. 13462 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(290,a,7415,a(flip),b,13445,a),flip(a)]. 13463 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(65,a,7674,a(flip),b,13445,a)]. 13469 K(x,K(y,z)) * K(x,y \ T(z,u)) = K(x,T(z,u) / y). [para(13445(a,1),8006(a,1,1))]. 13470 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7598(a,1),13445(a,1,2))]. 13471 K(x,K(y,z)) * K(x,y \ T(z,u)) != w | K(x,T(z,u) / y) = w. [para(13445(a,1),8007(a,1,1))]. 13472 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(10980(a,1),13445(a,1,2))]. 13474 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7105(a,1),13459(a,1,2))]. 13475 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13459(a,2),7462(a,1))]. 13476 K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u / T(y,z)). [para(13459(a,1),8019(a,1,2))]. 13477 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(10985(a,2),13459(a,1,2))]. 13478 K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). [hyper(290,a,13459,a,b,13460,a)]. 13480 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(13372(a,1),7696(a,1,2))]. 13482 T(x * K(y \ K(z,y \ 1),T(x,z)),(1 / y) * x) = L(x,T(K(z,y \ 1) / y,z),x). [para(13383(a,1),8152(a,1,1,2))]. 13483 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [para(13384(a,2),8358(a,2,2))]. 13484 T((x * K(y,z)) * u,K(x,u)) = (x * K(y,z)) * u. [para(13402(a,1),7980(a,2,1))]. 13485 K(x / (y * K(z,y)),u) = K(K(y,z) * (x / y),u). [para(5851(a,2),13407(a,2,1)),flip(a)]. 13486 K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). [hyper(290,a,7441,a(flip),b,13443,a),flip(a)]. 13487 K(x,K(y,z)) * (u * K(x,K(y,z))) != w | u = w. [para(13443(a,1),246(a,1,2))]. 13488 L(x \ (y * K(z,K(u,w))),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(13443(a,1),273(a,1,1,2))]. 13489 K(x,K(y,z)) * u != w | w * K(x,K(y,z)) = u. [para(13444(a,1),45(a,1)),flip(a)]. 13490 L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(13444(a,1),453(a,1,2,2,2)),flip(a)]. 13491 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8081,a,13450,a)]. 13492 K(x,K(y,z / u)) = K(x,K(y,u * z)). [hyper(290,a,13306,a(flip),b,13450,a),flip(a)]. 13493 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(65,a,11267,a,b,13450,a)]. 13494 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(12803(a,2),13450(a,2,2)),flip(a)]. 13495 K(x,K(y,z / u)) != w | K(x,K(y,u * z)) = w. [para(13450(a,2),13325(a,1))]. 13497 K(x,y) * (z * K(y,K(x,u))) = K(x,T(y,u)) * z. [para(13453(a,1),8278(a,1,2))]. 13498 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13472(a,1),7413(a,1))]. 13499 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13472(a,1),13167(a,1))]. 13500 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13474(a,2),7462(a,1))]. 13501 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [para(11466(a,2),13474(a,1,2))]. 13502 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(65,a,10823,a(flip),b,13477,a)]. 13505 T(x,K(y,T(z,u))) = x * K(z,K(y,T(x,w))). [para(13478(a,1),7416(a,1,2)),flip(a)]. 13510 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),13491(a,2,2,2))]. 13514 K(T(x,y) * z,u) != w | K(z * T(x,y),T(u,x)) = w. [para(11010(a,1),13432(a,1))]. 13515 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7162(a,2),13475(a,1,2))]. 13516 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(10980(a,1),13475(a,1,2))]. 13517 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(11008(a,1),13475(a,1,2))]. 13520 x * (K(x * y,z) * K(x,y)) = T(x * K(y * x,z),y). [hyper(290,a,11138,a,b,13367,a),flip(a)]. 13523 K(x,y * K(z,u * K(w,v5))) != v6 | K(x,K(z,K(w,v5) * u) * y) = v6. [para(13406(a,1),13420(a,1,2,2))]. 13524 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(12998(a,2),13435(a,1,2))]. 13525 K(x,T(y,z \ u)) != w | K(x,T(y,u * z)) = w. [para(13273(a,2),13435(a,1))]. 13526 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(13284(a,2),13435(a,1))]. 13528 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(100(a,1),13516(a,1,2,2))]. 13533 K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * (y * (z / T(y,z)))). [para(3629(a,1),13352(a,2,2,2))]. 13534 T(x * K(K(x * y,z),x),u) * K(x * y,z) = T(x,u) * K(y * x,z). [hyper(290,a,4520,a,b,13354,a)]. 13535 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(290,a,7141,a,b,13448,a),flip(a)]. 13536 K(x,T(y,z)) * K(x,T(y,z)) = K(x,y) * K(x,y). [para(7725(a,1),13457(a,1,2)),flip(a)]. 13537 T((x * K(y,z)) * ((K(y,z) \ 1) * u),K(x,(K(y,z) \ 1) * u)) = (x * (1 / K(y,z))) * (K(y,z) * u). [hyper(290,a,2334,a,b,13484,a),flip(a)]. 13538 K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). [hyper(4842,a,13497,a)]. 13539 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13535(a,2),45(a,1))]. 13540 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [hyper(36,a,4751,a,b,13538,a),flip(a)]. 13541 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(7521(a,1),13540(a,1,1))]. 13542 ((x * y) / x) * (K(y,T(z,x)) * T(z,y)) = y * (z * K(x,y)). [para(13540(a,2),7684(a,1,2))]. 13543 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(65,a,7329,a(flip),b,13541,a),flip(a)]. 13544 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(13543(a,1),4408(a,2,2)),flip(a)]. 13545 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(290,a,7385,a(flip),b,13544,a),flip(a)]. 13546 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [hyper(290,a,13450,a,b,13545,a),flip(a)]. 13547 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(290,a,8027,a(flip),b,13546,a),flip(a)]. 13548 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(290,a,7415,a(flip),b,13547,a),flip(a)]. 13550 T(x / y,(x / y) * x) = T(y \ x,x \ y). [hyper(10112,a,13330,a),flip(a)]. 13551 L(x / y,x,x / y) * x = x * T(y \ x,x \ y). [para(13550(a,1),749(a,1,2)),flip(a)]. 13552 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7522(a,1),13341(a,1,1))]. 13553 K(x * T(T(y,z),u),T(w,y)) = K(T(T(y,z),u) * x,w). [hyper(13342,a,13331,a),flip(a)]. 13554 K(x * T(y * z,u),T(w,z * y)) != v5 | K(T(y * z,u) * x,w) = v5. [para(13292(a,1),13342(a,1))]. 13556 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(13360(a,2),13415(a,2,2,1))]. 13557 K(x,L(K(y,z) * (u * y),w,v5)) = K(L(x,w,v5),u * T(y,z)). [hyper(13429,a,11461,a),flip(a)]. 13558 T(x * K(x * y,z),y) = T(x,y) * K(y * x,z). [hyper(13439,a,11101,a)]. 13559 T(x * K(y,z),L(T(u,x),w,v5)) != v6 | T(x * K(y,z),L(u,w,v5)) = v6. [para(25(a,2),13439(a,1,2))]. 13560 K(T(x,y) * z,T(u,K(w,v5))) = K(z * T(x,y),T(u,x)). [hyper(13514,a,13357,a(flip)),flip(a)]. 13561 T(x * T(y \ x,x \ y),x / y) = x * (x / y). [para(13551(a,1),3708(a,1,1))]. 13562 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [hyper(11458,a,13289,a),flip(a)]. 13564 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [hyper(11458,a,13350,a),flip(a)]. 13567 K((x \ 1) * T(y,x),T(z,y)) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(13560(a,1),11115(a,1,1))]. 13568 K(x,L(T(y,z * u),z \ u,z)) = K(x,u \ (z * (y * (z \ u)))). [para(736(a,1),13562(a,1,2)),flip(a)]. 13569 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [hyper(290,a,13562,a(flip),b,13564,a),flip(a)]. 13570 K(x,L(T(((y / z) \ 1) \ u,y * z),w,v5)) = K(x,L(u / ((y / z) \ 1),w,v5)). [hyper(65,a,7887,a(flip),b,13569,a),flip(a)]. 13571 K(x,L(T((y / z) \ u,z * y),w,v5)) = K(x,L(u / (y / z),w,v5)). [hyper(65,a,7788,a(flip),b,13569,a),flip(a)]. 13572 L(a(x,y,y),z,u) * (z * u) = u * (T(z,u) * a(x,y,y)). [hyper(13067,a,10930,a)]. 13573 K(x,y * (z / (u * u))) != w | K(x,u \ (u \ (y * z))) = w. [para(13183(a,1),13095(a,1))]. 13574 K(x,L((K(y,z) * u) \ w,v5,v6)) != v7 | K(x,L((u \ K(z,y)) * w,v5,v6)) = v7. [para(12861(a,1),13097(a,1,2,1,1))]. 13575 K(x,L(y / (z \ K(u,w)),v5,v6)) != v7 | K(x,L(y * (K(w,u) * z),v5,v6)) = v7. [para(12815(a,1),13107(a,1,2,1,2))]. 13576 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(290,a,13450,a,b,13470,a),flip(a)]. 13577 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13500,a,13501,a)]. 13578 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),13576(a,1,2,2,1)),flip(a)]. 13579 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7757(a,2),13576(a,1,2))]. 13580 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),13577(a,1,2,1,1))]. 13581 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(13018,a,12873,a),flip(a)]. 13582 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(290,a,6976,a(flip),b,13581,a),flip(a)]. 13583 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(65,a,9524,a,b,13582,a)]. 13585 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13583(a,1),6591(a,1,1,1))]. 13586 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(65,a,6977,a(flip),b,13585,a),flip(a)]. 13588 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(12(a,1),13586(a,1,3,2)),flip(a)]. 13589 K(x,y \ (z * T(u / w,u))) != v5 | K(x,y \ (z * (w \ u))) = v5. [para(12884(a,2),13039(a,1))]. 13590 K(x,y \ (T(z / u,z) * w)) != v5 | K(x,y \ ((u \ z) * w)) = v5. [para(12885(a,2),13039(a,1))]. 13591 T(x,T((y \ 1) * z,u)) = T(x,T(y \ z,u)). [hyper(8526,a,12907,a),flip(a)]. 13592 T(x,T((1 / y) \ z,u)) = T(x,T(y * z,u)). [para(81(a,1),13591(a,1,2,1,1)),flip(a)]. 13593 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [hyper(65,a,4230,a(flip),b,13592,a)]. 13594 K(x,((1 / y) \ z) * u) = K(x,((y \ 1) \ z) * u). [hyper(65,a,12915,a(flip),b,12918,a)]. 13595 K(x,((y \ 1) \ R(1 / y,z,z)) * u) = K(x,a(1 / y,z,z) * u). [para(2197(a,1),13594(a,1,2,1)),flip(a)]. 13596 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(2517(a,1),12927(a,1,2,1)),flip(a)]. 13597 T(x,T(y,(z * z) \ u)) = 1 / (x \ K(y,T(x,u))). [para(13285(a,1),12960(a,1,2,2)),flip(a)]. 13598 T(x,T(y,(z * z) \ u)) = T(x,T(y,u)). [hyper(290,a,7190,a(flip),b,13597,a),flip(a)]. 13600 T(x,T(y,z \ (z \ u))) = T(x,T(y,u)). [para(12813(a,1),13598(a,1,2))]. 13601 T(x,T(y,z \ u)) = T(x,T(y,z * u)). [para(9(a,1),13600(a,1,2,2,2))]. 13602 T(x / (x \ y),T(z,(y / x) * x)) = T(x / (x \ y),z). [hyper(12312,a,13601,a),flip(a)]. 13603 T(x / (y / z),T(z \ y,y * (z * x))) = T((y / z) \ x,K(y,z)). [hyper(65,a,10964,a(flip),b,13601,a),flip(a)]. 13604 T(x / (x \ y),T(z,y)) = T(x / (x \ y),z). [para(12(a,1),13602(a,1,2,2))]. 13605 T(x / (x \ y),z / y) = T(x / (x \ y),y \ z). [hyper(65,a,7606,a(flip),b,13604,a)]. 13606 K(x,y * (y * ((z \ 1) * u))) = K(x,((y * y) / z) * u). [para(442(a,1),12969(a,1,2)),flip(a)]. 13607 K(x,((y * y) / z) * u) = K(x,y * (y * (z \ u))). [hyper(65,a,13266,a(flip),b,13606,a),flip(a)]. 13608 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(57,a,13080,a)]. 13609 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12860(a,2),13608(a,1,2))]. 13610 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(2566,a,13609,a)]. 13611 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13610(a,1),2555(a,1,1,2))]. 13613 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10911(a,1),13096(a,1,2))]. 13614 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),13613(a,1,2,1))]. 13616 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(179(a,1),13614(a,1,1)),flip(a)]. 13617 ((x * y) / z) \ (y * x) != u | z * K(y,x) = u. [para(13614(a,1),615(a,1))]. 13619 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(290,a,5732,a(flip),b,13616,a),flip(a)]. 13620 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(190,a,13619,a),flip(a)]. 13621 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(12821,a,13118,a)]. 13622 L(x,y,z * (((z \ 1) \ u) / z)) = L(x,y,z \ T(u,z)). [hyper(290,a,1841,a(flip),b,13161,a),flip(a)]. 13623 L(x,T(y,z \ (z \ u)),w) = L(x,T(y,u),w). [hyper(65,a,13102,a(flip),b,13250,a),flip(a)]. 13625 L(x,T(y,z \ u),w) = L(x,T(y,z * u),w). [para(9(a,1),13623(a,1,2,2,2))]. 13626 L(x,T(y,z * u),z \ u) = L(x,y,z \ u). [hyper(10943,a,13625,a),flip(a)]. 13627 L(x,T(y,z * z),u) = L(x,y,u). [para(195(a,1),13625(a,1,2)),flip(a)]. 13628 L(x,T(y,z),(z / u) \ u) = L(x,y,(z / u) \ u). [para(12(a,1),13626(a,1,2,2))]. 13629 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10568(a,2),13259(a,2,1,1,2,1)),flip(a)]. 13630 K(x,K(y,z * u)) * K(x,y / (z \ u)) = K(x,T(u / z,u) \ y). [hyper(290,a,12334,a,b,13311,a),flip(a)]. 13632 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(5598(a,1),13463(a,2,2))]. 13633 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(290,a,8139,a(flip),b,13632,a),flip(a)]. 13635 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [hyper(290,a,8132,a(flip),b,13633,a),flip(a)]. 13636 ((x * y) / x) * (K((x * y) / x,z) * T(z,y)) = y * (z * K(x,y)). [para(7528(a,2),13542(a,1,2,1))]. 13637 K(x,L(K(y,z) * (u * y),w,v5)) = K(x,L(u * T(y,z),w,v5)). [hyper(290,a,11461,a(flip),b,13557,a),flip(a)]. 13639 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13588(a,1),10255(a,2,2))]. 13641 K(x,y / (T(z,u) \ u)) != w | K(x,y / (z \ T(u,z))) = w. [para(13105(a,1),13036(a,1))]. 13642 (x \ 1) \ L(R(x \ 1,x,x),y,z) = (x \ 1) * L(x,y,z). [para(2204(a,1),13242(a,1,2,1))]. 13643 (x \ 1) \ L(1 / x,y,z) = (x \ 1) * L(x,y,z). [para(2576(a,1),13642(a,1,2,1))]. 13644 (x \ 1) \ L(1 / x,y,z) = x * L(1 / x,y,z). [hyper(290,a,11204,a(flip),b,13643,a),flip(a)]. 13645 K(x,y * (z * (u * L(1 / u,w,v5)))) = K(x,y * (z * (u \ L(u,w,v5)))). [para(13644(a,1),5655(a,1,2,2,2))]. 13646 L(T(1 / x,y * x),1 / x,x) = T(1 / x,(1 / x) * y). [hyper(65,a,1844,a(flip),b,13281,a)]. 13648 K(x,y \ ((1 / z) * u)) != w | K(x,y \ ((z \ 1) * u)) = w. [para(191(a,1),13590(a,1,2,2,1))]. 13649 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(65,a,9508,a(flip),b,12781,a),flip(a)]. 13650 K(x,x * a(y,z,u)) = a(x,z,K(u,y)). [hyper(65,a,12775,a,b,13649,a)]. 13651 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(65,a,12778,a(flip),b,13649,a),flip(a)]. 13652 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13649(a,1),86(a,1,2))]. 13653 a(T(x,y),z,K(u,T(w,y))) = a(K(x,w),z,u). [para(7519(a,1),13649(a,1,1)),flip(a)]. 13654 a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). [para(9665(a,1),13649(a,1,1)),flip(a)]. 13655 a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(y * x) \ z)). [para(10803(a,1),13649(a,1,1))]. 13656 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(8798,a,13651,a)]. 13657 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(290,a,8790,a,b,13651,a)]. 13658 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(290,a,12776,a(flip),b,13651,a),flip(a)]. 13659 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(290,a,11604,a(flip),b,13651,a),flip(a)]. 13660 a(x,y,K(y * x,z)) = 1. [hyper(290,a,11473,a(flip),b,13651,a),flip(a)]. 13661 a(x,y,K(z * u,u)) = a(u,y,K(x,z)). [hyper(65,a,11590,a,b,13651,a)]. 13662 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(60,a,13651,a)]. 13663 a(x,y,K(z,T(u,x) * w)) = a(z,y,K(u * w,x)). [para(7014(a,1),13651(a,1,3)),flip(a)]. 13664 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(7412(a,1),13651(a,1,3))]. 13666 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13651(a,1),8796(a,2,1))]. 13667 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13651(a,2),9077(a,1,1))]. 13669 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(13651(a,1),11442(a,1,2))]. 13670 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13651(a,1),11477(a,1,2))]. 13671 L(K(x * y,z),x,y) = K(x * y,z). [hyper(54,a,13660,a)]. 13672 a((x * y) / x,z,K(u,w)) = K(y,T(a(w,z,u),x)). [hyper(290,a,7528,a(flip),b,13658,a),flip(a)]. 13673 a(x,y,z) \ a(u,y,K(z,x)) = T(a(x,y,z),u) \ 1. [hyper(120,a,13658,a,b,4411,a(flip))]. 13674 x * a(a(y,z,u) \ x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). [para(13658(a,2),278(a,1,2))]. 13675 a(x,y,K(z,u * (u * w))) = K(x,a(L(w,u,u),y,z)). [para(2165(a,1),13658(a,2,2))]. 13676 L(x,y,a(y,z,K(u,w))) = x. [para(13658(a,2),3385(a,1,3))]. 13677 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(13658(a,2),4471(a,2,2)),flip(a)]. 13678 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(13658(a,2),4491(a,2,1)),flip(a)]. 13679 (x * a(y,z,u)) / x = a(y,z,u) * a(x,z,K(u,y)). [para(13658(a,2),4434(a,2,2))]. 13680 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13658(a,2),4475(a,1,2))]. 13682 (x * y) / ((a(z,u,w) * y) / a(z,u,w)) = x * a(y,u,K(w,z)). [para(13658(a,2),5928(a,2,2))]. 13684 L(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(13658(a,2),11433(a,1,1))]. 13685 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13658(a,1),12776(a,2,2))]. 13686 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11458,a,13671,a)]. 13687 K(x / a(y,z,u),a(y,z,u) * (a(y,z,u) \ x)) = a(a(y,z,u) \ x,z,K(u,y)). [hyper(10990,a,13650,a)]. 13688 a(x,y,K(z,u)) = a(u,y,K(z,x)). [hyper(65,a,2169,a(flip),b,13659,a)]. 13689 a(x,y,K(z,u)) = a(z,y,K(x,u)). [hyper(290,a,13651,a,b,13688,a)]. 13690 a(K(x,y),z,u) = a(y,z,K(u,x)). [hyper(290,a,13649,a,b,13688,a)]. 13691 K(x,y) * a(x,z,K(y,u)) = L(K(x,y),z,u). [para(13688(a,1),8789(a,1,2))]. 13692 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u)). [para(13688(a,1),11442(a,1,2))]. 13693 a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),u). [para(13688(a,1),13055(a,1,2))]. 13694 (x / y) * a(y,z,K(u,w)) = x / T(y,a(w,z,u)). [para(13688(a,1),13059(a,1,2))]. 13695 a(x,y,z) * a(u,y,K(z,x)) != w | T(a(x,y,z),u) = w. [para(13688(a,1),13057(a,1,2))]. 13696 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u)). [para(13689(a,1),11442(a,1,2))]. 13697 a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),u). [para(13689(a,1),13055(a,1,2))]. 13699 a(K(x * y,z),x,y) = 1. [hyper(290,a,11473,a(flip),b,13690,a),flip(a)]. 13700 L(x,y,K(y * x,z)) = x. [hyper(54,a,13699,a)]. 13702 L(x,y,K(z,y * x)) = x. [hyper(65,a,4823,a,b,13700,a)]. 13703 L(x,y,K(z,x * y)) = x. [para(10983(a,1),13702(a,1,3))]. 13704 L(x,x \ y,K(z,y)) = x. [para(10(a,1),13703(a,1,3,2))]. 13705 L(x / y,y,K(z,x)) = x / y. [para(12(a,1),13703(a,1,3,2))]. 13706 (K(x,y * z) * z) * y = K(x,y * z) * (z * y). [para(13703(a,1),94(a,1,2))]. 13707 L(x / y,y,K(x,z)) = x / y. [hyper(65,a,4823,a,b,13705,a)]. 13708 L((x * y) / z,z,K(y,x)) = (x * y) / z. [hyper(12088,a,13707,a)]. 13709 a(x,y,K(z,u * x)) = a(x,y,K(z,u)). [hyper(65,a,13651,a(flip),b,13661,a)]. 13710 x * a(y,z,K(u,x)) = T(x,a(y,z,u)). [para(13688(a,1),13677(a,1,2))]. 13712 (a(x,y,z) * u) / a(x,y,z) = T(u,a(x,y,z)). [hyper(13058,a,13710,a)]. 13714 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(290,a,13649,a(flip),b,13654,a),flip(a)]. 13715 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (x \ w))). [para(273(a,1),13714(a,1,3,2))]. 13716 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). [para(480(a,1),13714(a,1,3,2)),flip(a)]. 13717 a(x,y,K(z,(u * x) \ (x * w))) = a(x,y,K(z,T(u,x) \ w)). [para(483(a,1),13714(a,1,3,2))]. 13718 a(T(x,y),z,K(u,T(w,y))) = a(x,z,K(u,w)). [hyper(290,a,13649,a(flip),b,13653,a),flip(a)]. 13719 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(6740,a,13657,a)]. 13720 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [hyper(65,a,13689,a,b,13664,a),flip(a)]. 13721 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7415(a,1),13664(a,2,3))]. 13722 K(x,L(y,z * K(u,z),w)) = K(x,y) * a(x,T(z,u),K(w,y)). [para(8925(a,1),13669(a,1,2)),flip(a)]. 13723 K(x,T(y,z)) * a(x,u,K(y \ (w \ v5),T(y,z))) = K(x,L(T(y,z),u,(w * y) \ v5)). [para(11086(a,1),13669(a,1,2,3))]. 13724 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,z)). [para(13689(a,1),13669(a,1,2))]. 13725 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(7411(a,1),13685(a,1,3))]. 13727 K(x,y) * a(x,z,K(y,u)) = L(K(x,y),y * z,u). [hyper(290,a,8233,a,b,13692,a),flip(a)]. 13729 a((x * y) / x,z,K(u,w)) = a(y,z,K(u,T(w,x))). [para(214(a,1),13718(a,1,1)),flip(a)]. 13730 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [hyper(290,a,11433,a(flip),b,13719,a),flip(a)]. 13731 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(13719(a,2),11458(a,1))]. 13732 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(13651(a,2),13719(a,1,1))]. 13733 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(290,a,11493,a,b,13721,a)]. 13734 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(y,x)). [hyper(4842,a,13724,a)]. 13735 K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(y,x)) = w. [para(13724(a,1),4843(a,1,2)),flip(b)]. 13736 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(65,a,13664,a(flip),b,13725,a)]. 13737 K(x,L(y,z,L(u,u,w))) = a(y,z,K(x,u)) * K(x,y). [para(6080(a,1),13730(a,1,1,3)),flip(a)]. 13738 K(x,L(y,z,L(z,u,w))) = 1 * K(x,y). [para(6113(a,1),13730(a,1,1)),flip(a)]. 13739 K(x,L(y,L(z,u,w),z)) = 1 * K(x,y). [para(9209(a,1),13730(a,1,1)),flip(a)]. 13740 K(x,L(y,z,L(z,u,w))) = K(x,y). [hyper(290,a,7,a(flip),b,13738,a),flip(a)]. 13741 K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. [para(13738(a,2),122(a,1))]. 13742 K(x,L(y,L(z,u,w),z)) != v5 | K(x,y) = v5. [para(13739(a,2),122(a,1))]. 13743 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(290,a,8120,a(flip),b,13732,a),flip(a)]. 13744 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13732(a,1),46(a,1))]. 13745 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13732(a,2),8205(a,1))]. 13746 a(x,y,K(z * u,z)) = a(x,y,K(z,u)). [hyper(65,a,11594,a(flip),b,13734,a)]. 13748 x * (K(x,y) * K(y,L(x,z,u))) = T(x,L(y,z,u)) * K(y,x). [para(13734(a,2),11485(a,2,2)),flip(a)]. 13749 (1 / x) * a(x,y,K(z,u)) != w | T(1 / x,a(u,y,z)) = w. [para(2168(a,1),13680(a,1,2))]. 13750 a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),u * z). [para(13709(a,1),13697(a,1,2))]. 13751 T(T(a(x,y,z),u),u) = a(x,y,z). [hyper(3960,a,13712,a)]. 13752 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(65,a,11453,a,b,13684,a)]. 13753 (x * K(y,x * z)) * z = K(y,z * x) * (x * z). [para(10988(a,1),13706(a,1,1))]. 13754 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(36,a,13691,a,b,13727,a)]. 13755 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(10(a,1),13754(a,1,2)),flip(a)]. 13756 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7415(a,2),13754(a,1,3))]. 13757 a(x,x \ y,K(z,u)) = a(u,y,K(x,z)). [hyper(65,a,13651,a,b,13755,a)]. 13758 a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). [hyper(65,a,13651,a(flip),b,13755,a)]. 13759 K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). [para(13755(a,1),13669(a,1,2)),flip(a)]. 13760 a(T(x,y) \ z,T((x \ z) \ z,y),K(u,w)) = a(w,z,K(T(x,y) \ z,u)). [para(7066(a,2),13757(a,1,2))]. 13761 a(x,y,K(z,T(u,w))) = K(x,T(a(u,y,z),w)). [hyper(65,a,13672,a(flip),b,13729,a),flip(a)]. 13762 (x * K(y,x * z)) * z = (x * z) * K(y,z * x). [hyper(290,a,13112,a(flip),b,13753,a),flip(a)]. 13763 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7415(a,2),13756(a,2,3))]. 13764 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(290,a,13669,a(flip),b,13759,a),flip(a)]. 13765 K(x,y \ (z * (u * (z \ y)))) = K(x,L(T(u,z * y),y,z)). [hyper(65,a,13568,a(flip),b,13764,a)]. 13766 K(x,L(y,z * u,z)) = K(x,L(y,u,z)). [para(9(a,1),13764(a,1,2,2)),flip(a)]. 13767 K(x,L(y,T(z,u),u)) = K(x,L(y,z * u,u)). [para(22(a,2),13764(a,1,2,2))]. 13768 K(x,L(y,T(z * u,u \ 1),u \ 1)) = K(x,L(y,R(z,u,u),u \ 1)). [para(789(a,1),13764(a,1,2,2))]. 13769 K(x,L(y,a(z,u,u),z)) = K(x,L(y,R(z,u,u),z)). [para(2197(a,1),13764(a,1,2,2))]. 13770 K(x,L(y,T(1 / (z / u),z),(1 / (z / u)) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). [para(4074(a,2),13764(a,1,2,2))]. 13771 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(6083,a,13766,a),flip(a)]. 13772 K(x,L((y \ z) \ (y * u),u,y)) = K(x,z \ (y * (y * u))). [hyper(65,a,11444,a(flip),b,13766,a),flip(a)]. 13773 K(x,L((y * z) \ (y \ u),z,y)) = K(x,(y * (y * z)) \ u). [para(273(a,1),13766(a,1,2)),flip(a)]. 13774 K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,((y \ 1) * (y * z)) \ u). [para(1853(a,1),13766(a,1,2)),flip(a)]. 13775 K(x,L(y \ (z * u),u,z)) != w | K(x,L(y \ (z * u),y,z)) = w. [para(13766(a,1),11508(a,1))]. 13776 K(x,y * z) * L(x,z,y) = L(T(x,y * z),z,y). [para(13771(a,1),11469(a,1,1))]. 13777 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [hyper(65,a,10944,a(flip),b,13767,a),flip(a)]. 13778 L(T(x,(y \ 1) * (z * z)),z * z,y \ 1) = K(x,y \ (z * z)) * L(x,z * z,y \ 1). [para(405(a,1),13776(a,1,1,2)),flip(a)]. 13780 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(13759(a,2),13670(a,1))]. 13781 a(x,y,K(z,u * (u * w))) = a(x,y,K(z,L(w,u,u))). [hyper(290,a,13658,a,b,13675,a),flip(a)]. 13782 a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). [para(86(a,1),13679(a,1,1)),flip(a)]. 13783 a(x,y,K(z * u,z)) != w | a(x,y,K(z,u)) = w. [para(11594(a,1),13735(a,1))]. 13784 K(x,L(y,z,L(u,u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(13737(a,2),13731(a,1))]. 13785 T(a(x,y,z),u * z) = T(a(x,y,z),u). [hyper(65,a,13697,a(flip),b,13750,a),flip(a)]. 13786 a(x,y,K(z,u * (u * w))) = a(x,y,K(z,w)). [para(12788(a,1),13781(a,2,3))]. 13787 a(x,y,K(z,u \ w)) = a(x,y,K(z,u * w)). [para(10(a,1),13786(a,1,3,2,2)),flip(a)]. 13788 a(x,y,K(z,(u / w) * u)) = a(x,y,K(z,w)). [para(12(a,1),13786(a,1,3,2,2))]. 13789 a(x,y,K(z,u * (w * u))) = a(x,y,K(z,T(w,u))). [para(104(a,1),13786(a,1,3,2,2))]. 13791 (x \ y) * a(z,u,K(w,x * y)) = T(x \ y,a(z,u,w)). [para(13787(a,1),13710(a,1,2))]. 13792 a(x,y,K(z,u * (w \ u))) = a(x,y,K(z,w)). [para(12338(a,1),13788(a,1,3))]. 13793 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (u \ w))). [hyper(65,a,13649,a(flip),b,13655,a),flip(a)]. 13795 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,(x * u) * w)). [hyper(65,a,13787,a(flip),b,13715,a),flip(a)]. 13796 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u * (x * w))). [hyper(290,a,13787,a(flip),b,13716,a),flip(a)]. 13797 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x * (u \ w))). [hyper(290,a,13787,a(flip),b,13793,a),flip(a)]. 13798 a(x,y,K(z,(x * u) * w)) = a(x,y,K(z,u * (x \ w))). [hyper(65,a,13787,a(flip),b,13795,a),flip(a)]. 13799 a(x,y,K(z,(x \ u) * w)) = a(x,y,K(z,u * (x * w))). [hyper(65,a,13787,a(flip),b,13796,a)]. 13800 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(13652(a,1),297(a,1,1)),flip(b)]. 13801 1 / T(x,a(y,z,u)) = T(1 / x,a(y,z,u)). [hyper(13749,a,13694,a),flip(a)]. 13802 a(x,y,K(z,x * (u \ (x * w)))) = a(x,y,K(z,T(u,x) \ w)). [hyper(65,a,13797,a(flip),b,13717,a)]. 13803 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7429(a,1),13733(a,1,2))]. 13804 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(95(a,2),13743(a,2,2,2)),flip(a)]. 13805 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8046(a,1),13743(a,1,1,3))]. 13806 T(x,L(y,z,u)) * K(y,x) = T(x,y) * K(y,L(x,z,u)). [hyper(4887,a,13748,a),flip(a)]. 13807 T(x * K(y,L(x,z,u)),y) = T(x,L(y,z,u)) * K(y,x). [hyper(290,a,9869,a,b,13806,a)]. 13808 T(1 / x,L(x,y,z)) * K(x,1 / x) = T(K(x,L(1 / x,y,z)) / x,x). [para(5339(a,1),13807(a,1,1)),flip(a)]. 13809 a(x,y,K(z,x * (u \ (x * w)))) = a(x,y,K(z,T(u,x) * w)). [hyper(290,a,13787,a(flip),b,13802,a),flip(a)]. 13810 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(65,a,9334,a(flip),b,13803,a)]. 13811 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(8802(a,1),13810(a,1,1))]. 13812 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7429(a,1),13811(a,2,3))]. 13813 a(x,y,K(z,x * (u \ (x * w)))) = a(z,y,K(u * w,x)). [hyper(290,a,13663,a(flip),b,13809,a),flip(a)]. 13814 T(T(x,K(y,z * u)),y * ((z \ 1) \ u)) = T(x,((1 / z) \ u) * y). [hyper(5534,a,12892,a)]. 13815 ((x \ 1) \ 1) \ (y * ((1 / x) \ x)) = x \ (y * (x * x)). [para(104(a,1),12913(a,2,2))]. 13816 ((x \ 1) \ 1) \ (y * ((1 / x) \ x)) = (x \ y) * (x * x). [hyper(290,a,399,a(flip),b,13815,a),flip(a)]. 13817 (((x \ 1) \ 1) \ y) * ((1 / x) \ x) = (x \ y) * (x * x). [hyper(65,a,3101,a(flip),b,13816,a)]. 13818 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (((x \ 1) \ 1) \ 1))) * (x * x) = ((((x \ 1) \ 1) \ 1) \ (y * (1 / ((x \ 1) \ 1)))) * ((1 / x) \ x). [para(10319(a,1),13817(a,1,1)),flip(a)]. 13819 T(x \ 1,x \ y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). [para(13233(a,1),12914(a,1,1))]. 13820 ((x * x) \ y) * K(z,T(u,y)) = K(z,u) * ((x * x) \ y). [para(13285(a,1),12959(a,1,2))]. 13821 K(x * ((y * y) \ z),T(u,z)) = K(((y * y) \ z) * x,u). [hyper(11021,a,13820,a)]. 13823 K(((x * x) \ y) * z,u) = K(y * (z / (x * x)),u). [hyper(11046,a,13821,a),flip(a)]. 13824 T(x * ((y \ 1) \ 1),(1 / y) / y) = ((1 / y) \ 1) * T(x,1 / y). [para(2570(a,1),12996(a,1,1,2))]. 13825 K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((w * w) \ ((y \ z) \ z)) * u) * w). [hyper(65,a,12475,a(flip),b,13110,a)]. 13826 K((x \ y) \ y,L(z * u,w,v5)) = K(x,L(T((z \ 1) \ u,y),w,v5)). [para(25(a,2),13154(a,2,2))]. 13827 L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z \ 1)). [para(10322(a,1),13160(a,1,3)),flip(a)]. 13828 L(x,y,z * ((T(z,u \ 1) / u) / z)) = L(x,y,z / u). [para(12(a,1),13163(a,2,3))]. 13829 L(x,y,T(T(z,u \ 1) / u,z)) = L(x,y,z / u). [hyper(65,a,13158,a(flip),b,13828,a)]. 13831 x * ((x \ y) * a(z,u,K(w,x \ y))) = y * a(z,u,K(w,x \ y)). [para(13049(a,2),13168(a,2,2))]. 13832 T(x * K(y,z),u \ (u \ 1)) = T(x,u \ (u \ 1)) * K(y,z). [hyper(65,a,1191,a(flip),b,13192,a),flip(a)]. 13833 T(K(x,y) * z,u \ (u \ 1)) = K(x,y) * T(z,u \ (u \ 1)). [hyper(5695,a,13832,a),flip(a)]. 13834 T(x * K(y,x),z \ (z \ 1)) = K(z * z,x) * ((y * x) / y). [hyper(290,a,5229,a(flip),b,13832,a),flip(a)]. 13835 T(T(x,y) * K(z,u),w \ (w \ 1)) = T(x,w \ (w \ y)) * K(z,u). [para(13228(a,1),13832(a,2,1))]. 13836 T(K(x,y) * ((z * x) / z),u \ (u \ 1)) = T(x,y) * K((u * u) * z,x). [hyper(290,a,6603,a(flip),b,13833,a),flip(a)]. 13837 (T(x,K(y,z)) / (K(y,z) \ 1)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). [para(4922(a,1),13198(a,1,1,1))]. 13839 T(T(x \ 1,y) * (x \ 1),z) = T(T(x \ 1,y) / x,z). [para(10(a,1),13264(a,1,1)),flip(a)]. 13841 T((x \ 1) * T(x \ 1,y),z) = T(T(x \ 1,y) / x,z). [para(233(a,1),13839(a,1,1))]. 13842 T(T(x \ 1,y) / x,z) = T(x \ T(1 / x,y),z). [para(2331(a,1),13841(a,1,1)),flip(a)]. 13843 T(x \ 1,y) / x = x \ T(1 / x,y). [hyper(51,a,13842,a)]. 13844 (x \ T(1 / x,y)) * z = T(x \ 1,y) * (x \ z). [para(13843(a,1),9938(a,1,1))]. 13845 L(x,y,T(z \ 1,u) * (z \ w)) = L(x,y,K(z \ 1,u) * w). [para(13844(a,1),6052(a,1,3))]. 13846 K(x,K(y,z)) * K(y,(u \ (u \ x)) \ z) = K(y,z / (u \ (u \ x))). [para(7415(a,1),13314(a,1,1))]. 13847 T(T(x,K(y,z * u)),(u \ z) \ y) = T(x,y * ((u \ z) \ 1)). [hyper(13020,a,13323,a)]. 13848 T(T(x,K(y,z * u)),(u \ z) \ y) = T(x,y / (u \ z)). [hyper(290,a,12995,a(flip),b,13847,a),flip(a)]. 13849 T(T(x,y \ z),K(u,z * y)) = T(x,T(y \ z,u)). [hyper(42,a,8323,a,b,13848,a),flip(a)]. 13850 T(T(T(x * K(x * T(y \ z,u),x),w),y \ z),K(u,z * y)) = R(T(x,w),T(y \ z,u),x). [hyper(290,a,5404,a(flip),b,13849,a),flip(a)]. 13851 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(104(a,1),13417(a,1,2,1,1,1))]. 13853 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13851(a,1),4560(a,1,2)),flip(a)]. 13854 K(x,((y \ 1) \ R(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). [para(2168(a,1),13595(a,2,2,1))]. 13855 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(65,a,4240,a(flip),b,13596,a),flip(a)]. 13857 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(65,a,8624,a(flip),b,13855,a)]. 13858 T((x * y) / x,z) * T(z,y) = y * (z * K(x,y)). [hyper(4887,a,13636,a)]. 13859 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(9507(a,1),13800(a,1))]. 13860 T(x,((1 / y) \ z) * u) = T(x,((y \ 1) \ z) * u). [hyper(65,a,12034,a(flip),b,13814,a),flip(a)]. 13861 T(x \ 1,x \ y) \ (y / (1 / x)) = (x \ 1) \ ((x \ 1) \ y). [hyper(290,a,2851,a(flip),b,13819,a),flip(a)]. 13862 (x / (1 / y)) * K((y \ 1) \ ((y \ 1) \ x),T(y \ 1,y \ x)) = (T(y \ 1,y \ x) \ (x / (1 / y))) * T(y \ 1,y \ x). [para(13861(a,1),278(a,1,2,1))]. 13863 K(x,L(T((y \ 1) \ z,u),w,v5)) = K(x,T(L(y * z,w,v5),u)). [hyper(7346,a,13826,a),flip(a)]. 13864 K(x,L(T((y \ 1) \ z,u),w,v5)) = K(x,L(T(y * z,u),w,v5)). [para(25(a,2),13863(a,2,2))]. 13865 x * ((x \ y) * a(z,u,K(w,x * y))) = y * a(z,u,K(w,x \ y)). [para(13787(a,1),13831(a,1,2,2))]. 13866 ((K(x,y) * z) * u) * a(y,z,K(u,x)) != w | K(x,y) * (z * u) = w. [para(13651(a,2),13859(a,1,2))]. 13867 x * ((x \ y) * a(z,u,K(w,x * y))) = y * a(z,u,K(w,x * y)). [para(13787(a,1),13865(a,2,2))]. 13868 x * T(x \ y,a(z,u,w)) = y * a(z,u,K(w,x * y)). [para(13791(a,1),13867(a,1,2))]. 13869 ((x * (y * a(z,u,u))) / y) \ (x * (T(y,x) * a(z,u,u))) = T(y,x). [para(13572(a,1),13169(a,1,2))]. 13870 T(x,(y * y) / (z * u)) != w | T(x,(u / (y * y)) \ (z \ 1)) = w. [para(12995(a,1),13224(a,1))]. 13872 T(x,L(y,z,u)) * K(y,w) != v5 | T(x * K(y,w),L(y,z,u)) = v5. [para(9410(a,1),13559(a,1))]. 13873 x * a(y,z,K(u,x)) != w | T(x * K(u,x),L(u,z,y)) = w. [para(11485(a,1),13872(a,1))]. 13874 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7411(a,1),13745(a,1,1,3))]. 13875 K(x,L(y,T(z * u,u \ 1),u)) = K(x,L(y,R(z,u,u),u \ 1)). [para(1846(a,1),13768(a,1,2))]. 13876 K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,(y * ((1 / y) * z)) \ u). [para(724(a,1),13774(a,2,2,1))]. 13877 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(13874,a,13805,a),flip(a)]. 13878 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(81(a,1),13877(a,1,2,2,3)),flip(a)]. 13879 K(x,((y \ 1) \ z) * (u * (y \ 1))) = K(x,(y \ z) * (u * y)). [hyper(65,a,13283,a(flip),b,12919,a),flip(a)]. 13880 K(x,((y \ 1) \ z) * R(u,y,y)) = K(x,(y \ z) * ((u * y) * y)). [para(787(a,1),13879(a,1,2,2))]. 13881 K(x,y / z) * a(u,w,K(y / z,x)) = K(x,L(y * (z \ 1),w,u)). [para(12973(a,1),13014(a,1,1))]. 13882 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [hyper(11477,a,13881,a),flip(a)]. 13883 K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. [para(13881(a,1),11477(a,1))]. 13885 K(x,L(y / ((z * u) / z),w,v5)) = K(x,L(y * (u \ K(u,z)),w,v5)). [para(4574(a,1),13882(a,1,2,1,2)),flip(a)]. 13886 K(x,L(y * (z \ K(z,u)),w,v5)) != v6 | K(x,L(y / ((u * z) / u),w,v5)) = v6. [para(4574(a,1),13883(a,1,2,1,2))]. 13887 K(x,L(y * (K(z,y) * (u \ 1)),w,v5)) != v6 | K(x,L((y * K(z,y)) / u,w,v5)) = v6. [para(5101(a,1),13883(a,1,2,1))]. 13888 K(x,L(y * ((z \ 1) \ K(z \ 1,u)),w,v5)) = K(x,L(y / (z \ K(u,z \ 1)),w,v5)). [para(4469(a,2),13885(a,1,2,1,2)),flip(a)]. 13889 T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) / (1 / y)) / u). [para(2575(a,1),13016(a,1,2,1)),flip(a)]. 13890 T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) / (y \ 1)) / u). [hyper(290,a,13253,a(flip),b,13889,a),flip(a)]. 13891 T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) * y) / u). [para(411(a,1),13890(a,2,2,1))]. 13892 T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,(z * z) * (y / u)). [para(623(a,1),13891(a,2,2))]. 13893 T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,z * (z * (y / u))). [hyper(290,a,12917,a(flip),b,13892,a),flip(a)]. 13894 T(x,(y * y) * ((z \ 1) \ (u \ 1))) = T(x,y * (y * (z / u))). [para(2355(a,1),13893(a,1,2))]. 13895 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(y \ (x \ 1),u)). [hyper(290,a,7414,a(flip),b,13017,a),flip(a)]. 13896 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6507(a,1),13084(a,1,2,2)),flip(a)]. 13897 (T(x,y) * T(x,y)) * T(z * z,x) = T(x,y) * ((z * z) * T(x,y)). [hyper(2306,a,13187,a),flip(a)]. 13898 (x * T(T(x,y),y)) * T(z * z,x) = T(x,y) * ((z * z) * T(x,y)). [para(5740(a,1),13897(a,1,1))]. 13899 x * (T(T(x,y),y) * T(z * z,x)) = T(x,y) * ((z * z) * T(x,y)). [hyper(1102,a,13898,a)]. 13900 T(x,y) * ((z * z) * T(x,y)) = x * ((z * z) * T(T(x,y),y)). [para(7605(a,1),13899(a,1,2)),flip(a)]. 13901 ((x * ((y * y) * T(T(x,z),z))) / T(x,z)) \ T(T(x,z),T(x,z) * (y * y)) = ((y * y) * T(x,z)) \ T(x,z). [para(13900(a,1),3664(a,1,1,1))]. 13902 K(x,K(y,z * u)) * K(x,y * (u \ z)) = K(x,((u \ z) \ 1) \ y). [para(12976(a,1),13312(a,1,2))]. 13903 K(x,K(y,z * u)) * K(x,y * (u \ z)) = K(x,(u \ z) * y). [hyper(290,a,12838,a(flip),b,13902,a),flip(a)]. 13904 K(x,y / T(z / u,z)) = K(x,y / (u \ z)). [hyper(36,a,13630,a,b,13313,a),flip(a)]. 13906 K(x,L(y / T(z / u,z),w,v5)) = K(L(x,w,v5),y / (u \ z)). [hyper(11478,a,13904,a)]. 13907 K(x,y / ((z \ u) \ u)) = K(x,y / T(z,u)). [para(78(a,1),13904(a,1,2,2,1)),flip(a)]. 13908 K(x,L(y / T(z / u,z),w,v5)) != v6 | K(x,L(y / (u \ z),w,v5)) = v6. [para(13906(a,2),11478(a,1))]. 13910 K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. [para(6727(a,1),13433(a,1,1,1))]. 13911 T(T(x,K(y,z)),u) * K(x * y,z) = T(x,u) * K(y * x,z). [para(8193(a,1),13534(a,1,1,1))]. 13912 T(x,T(y,z)) * K(x * y,z) = T(x,y) * K(y * x,z). [para(7912(a,1),13911(a,1,1))]. 13913 T(K(x * y,z) * y,T(x,y)) = T(y,T(x,z)) * K(y * x,z). [hyper(290,a,11099,a,b,13912,a)]. 13914 K(x,T(y,z)) * (x * K(x * y,z)) = T(K(y * x,z) * x,T(y,x)). [hyper(290,a,4492,a,b,13913,a)]. 13915 K(x,T(y,z)) * (K(y * x,z) * x) = T(K(y * x,z) * x,T(y,x)). [para(11012(a,2),13914(a,1,2))]. 13916 K(x * K(y * x,z),y) = K(x,T(y,z)). [hyper(37,a,11020,a,b,13915,a)]. 13917 x * (K(y * x,z) * K(x,T(y,z))) = T(x * K(y * x,z),y). [para(13916(a,1),12879(a,1,2,2))]. 13918 K(x * y,z) * K(y,T(x,z)) = K(y * x,z) * K(y,x). [hyper(36,a,13520,a,b,13917,a),flip(a)]. 13919 K(x,y * z) \ K(z,T(y,x)) = K(z * y,x) * K(z,y). [hyper(4951,a,13918,a)]. 13920 K(x,y * z) \ T(K(z,y),x) = K(z * y,x) * K(z,y). [para(7109(a,1),13919(a,1,2))]. 13921 K(x,y * z) \ T(K(z,y),x) = K(x,z * y) \ K(z,y). [hyper(290,a,4811,a,b,13920,a),flip(a)]. 13922 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [hyper(13148,a,13921,a)]. 13923 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(13489,a,13922,a)]. 13924 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [hyper(13375,a,13922,a)]. 13925 K(x,y * (z * (u * (1 / w)))) * K(x,K(y,z * (u * (w \ 1)))) = K(x,(z * (u * (1 / w))) * y). [para(5037(a,1),13923(a,1,2,2))]. 13926 K(x,K(y,z)) * K(x,z * y) != u | K(x,y * z) = u. [para(13923(a,1),13487(a,1,2))]. 13927 K(x,((y \ 1) * z) * u) * K(x,K(u,y \ z)) = K(x,u * ((y \ 1) * z)). [para(12836(a,1),13924(a,1,2,2))]. 13928 K(x,(y / z) * u) * K(x,K(u,z * y)) = K(x,u * (y / z)). [para(13492(a,1),13924(a,1,2))]. 13929 K(x,y * z) * K(x,K(y,z)) != u | K(x,z * y) = u. [para(13455(a,1),13926(a,1))]. 13931 ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),x * (y * z)). [hyper(13695,a,13782,a),flip(a)]. 13933 T(1 / x,L(x,y,z)) * K(x,x \ 1) = T(K(x,L(1 / x,y,z)) / x,x). [para(1792(a,1),13808(a,1,2))]. 13934 T(T(x,y) * K(z,x),u \ (u \ 1)) = T(x,y) * K((u * u) * z,x). [para(4752(a,1),13836(a,1,1))]. 13935 T(x,y \ (y \ z)) * K(u,x) = T(x,z) * K((y * y) * u,x). [hyper(65,a,13835,a(flip),b,13934,a)]. 13936 T(x,y \ (y \ z)) * K(u,x) = T(x,z) * K(y * (y * u),x). [para(12874(a,1),13935(a,2,2))]. 13937 T(x,1) * K(y * (y * z),x) = K(y * y,x) * ((z * x) / z). [hyper(65,a,5229,a(flip),b,13936,a),flip(a)]. 13938 K(x * x,y) * ((z * y) / z) = y * K(x * (x * z),y). [para(191(a,1),13937(a,1,1)),flip(a)]. 13939 T(x * K(y,x),z \ (z \ 1)) = x * K(z * (z * y),x). [hyper(65,a,13834,a,b,13938,a)]. 13940 T(x * K(y * (y * z),x),u) = T(x * K(z,x),y \ (y \ u)). [para(13939(a,1),13226(a,1,1))]. 13941 T(x,y) \ T(x * K(y,x),z \ (z \ y)) = K(z * (z * y),x). [para(13940(a,1),13301(a,1,2))]. 13942 T(x,y) \ T(x,z \ (z \ 1)) = K(z * (z * y),x). [para(13227(a,1),13941(a,1,2))]. 13943 K(x,y \ (y \ 1)) * K(z,x) = K(y * (y * z),x). [hyper(5386,a,13942,a)]. 13945 K(x * x,y) * K(z,y) = K(x * (x * z),y). [para(5182(a,1),13943(a,1,1))]. 13946 K(x * (x * y),z) \ K(y,z) = K(z,T(x * x,K(y,z))). [para(13945(a,1),7131(a,1,1))]. 13947 K(x,y * (y * z)) * K(z,x) = K(x,T(y * y,K(z,x))). [hyper(4855,a,13946,a)]. 13948 K(x,y * (y * z)) * K(z,x) = K(x,y * y). [hyper(290,a,13357,a(flip),b,13947,a),flip(a)]. 13951 ((x \ 1) \ (y * x)) \ T(y,x) = (x * x) \ K(y,x * x). [para(13948(a,1),6433(a,1,2)),flip(a)]. 13952 ((x \ 1) \ (y * x)) \ T(y,x) = T(x \ (x \ 1),y). [hyper(290,a,6884,a(flip),b,13951,a),flip(a)]. 13954 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(u,y * (x \ 1))). [hyper(290,a,13309,a(flip),b,13895,a),flip(a)]. 13955 K(x,((y \ 1) * z) * u) * K(x,K(u,y * z)) = K(x,u * ((y \ 1) * z)). [para(13306(a,1),13927(a,1,2))]. 13956 T(K(x,L(1 / x,y,z)) / x,x) = T(x \ 1,L(x,y,z)). [hyper(65,a,3368,a(flip),b,13933,a),flip(a)]. 13957 T(K(x,L(x \ 1,y,z)) / x,x) = T(x \ 1,L(x,y,z)). [para(4788(a,1),13956(a,1,1,1))]. 13958 T(x \ 1,L(x,y,z)) = T(K(x,x \ 1) / x,x). [para(5517(a,1),13957(a,1,1,1)),flip(a)]. 13959 T(x \ 1,L(x,y,z)) = 1 / x. [hyper(290,a,5087,a(flip),b,13958,a),flip(a)]. 13962 (L(x,y,z) \ T((x \ 1) * L(x,y,z),u)) \ (1 / x) = K(u,(x \ 1) * L(x,y,z)). [para(13959(a,1),13093(a,1,2))]. 13963 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(u,y / x)). [hyper(290,a,11267,a(flip),b,13954,a),flip(a)]. 13964 K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) != w | K(z,K(u,x * y)) = w. [para(13963(a,2),13495(a,1))]. 13965 K(K(x,y),((z \ 1) * u) * w) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). [hyper(290,a,7385,a(flip),b,13955,a),flip(a)]. 13966 L(T(x,x \ 1) \ y,x,T(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). [para(4471(a,2),13077(a,1,3))]. 13967 L(T(x,x \ 1) \ y,x,x) = K(x,z) \ ((((z * x) / z) \ 1) * y). [hyper(6387,a,13966,a)]. 13969 T(T(T(x,y),y \ (y \ x)),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(23(a,1),13236(a,1,1))]. 13971 K(x,((y * y) * z) * R(u \ 1,y * y,z)) = K(x,z * (u \ (y * y))). [hyper(290,a,10984,a(flip),b,13294,a),flip(a)]. 13972 K(x,((y * y) * z) * (u \ 1)) = K(x,z * (u \ (y * y))). [para(493(a,1),13971(a,1,2,2))]. 13973 K(x,(y * y) * (z * (u \ 1))) = K(x,z * (u \ (y * y))). [para(33(a,1),13972(a,1,2))]. 13975 K(x,y * (y * (z * (u \ 1)))) = K(x,z * (u \ (y * y))). [hyper(13022,a,13973,a)]. 13977 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7155(a,1),13579(a,1,2))]. 13978 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(65,a,13635,a(flip),b,13977,a),flip(a)]. 13980 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(290,a,4755,a(flip),b,13853,a),flip(a)]. 13981 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3388,a,13980,a),flip(a)]. 13983 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(65,a,13353,a(flip),b,13981,a),flip(a)]. 13984 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13983(a,2),8197(a,1,1))]. 13985 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(11012(a,1),13984(a,1,1,1))]. 13986 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(5569(a,2),13985(a,1,2,2))]. 13987 T(T(T(x,y \ 1),x),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(13248(a,1),13969(a,1,1))]. 13988 T(T(x,y \ 1),(y \ 1) \ (x * y)) = L(T(x,y),y * y,T(x,y)). [para(173(a,1),13987(a,1,1))]. 13989 T(T(x,y \ 1),y * (x * y)) = L(T(x,y),y * y,T(x,y)). [hyper(65,a,12858,a(flip),b,13988,a)]. 13990 T(T(x,y \ 1),y * (x * y)) = T(x,y). [hyper(290,a,448,a(flip),b,13989,a),flip(a)]. 13992 (x \ ((x \ 1) \ y)) * (T(1 / x,y) * z) = ((x \ y) / x) * (x * z). [hyper(290,a,2125,a(flip),b,12934,a),flip(a)]. 13994 ((x \ ((x \ 1) \ y)) * T(1 / x,y)) * K(x \ ((x \ 1) \ y),z) = ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)). [hyper(9765,a,13992,a)]. 13995 (x \ ((x \ 1) \ y)) * T((1 / x) * K(y,z),y) = ((x \ y) / x) * (x * K(y,z)). [para(9869(a,2),13992(a,1,2))]. 13996 ((x * a(y * x,z,K(z,u))) * a(u,z,z)) * y = (x * y) * R(a(u,z,z),x,y). [para(13658(a,2),13070(a,1,1,1,2))]. 13997 a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a(K(x,y) / (K(x,y) * z),u,w). [para(4852(a,1),13086(a,1,1,2)),flip(a)]. 13998 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5919(a,1),13090(a,1,2,2,1,1))]. 13999 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4487(a,1),13998(a,1,2,2,1)),flip(a)]. 14000 K(x,L(T((y / z) * u,y * z),w,v5)) = K(x,L(u / ((y / z) \ 1),w,v5)). [hyper(65,a,13864,a(flip),b,13570,a)]. 14001 K(x,L(T((y / z) * u,y * z),w,v5)) != v6 | K(x,L(u * (y / z),w,v5)) = v6. [para(14000(a,2),13107(a,1))]. 14002 ((1 / x) * K(y,z)) * (x \ ((x \ 1) \ y)) = ((x \ y) / x) * (x * K(y,z)). [hyper(12933,a,13995,a)]. 14004 ((x \ y) / x) * (x * K(y,z)) != u | (1 / x) * T(x \ ((x \ 1) \ y),z) = u. [para(14002(a,1),12924(a,1))]. 14005 (x * y) * R(a(z,u,u),x,y) = ((x * 1) * a(z,u,u)) * y. [para(5785(a,1),13996(a,1,1,1,2)),flip(a)]. 14006 (x * y) * R(a(z,u,u),x,y) = (x * a(z,u,u)) * y. [para(8(a,1),14005(a,2,1,1))]. 14008 L(x,x,x) \ L(1 \ L(x,x,x),y,z) = 1 \ (L(x,x,x) * L(1 / x,y,z)). [para(67(a,1),13244(a,1,1))]. 14009 L(x,x,x) \ L(L(x,x,x),y,z) = 1 \ (L(x,x,x) * L(1 / x,y,z)). [para(67(a,1),14008(a,1,2,1))]. 14010 1 \ (L(x,x,x) * L(1 / x,y,z)) = L(x \ L(x,y,z),x,x). [hyper(6576,a,14009,a),flip(a)]. 14011 1 \ (L(x,x,x) * L(1 / x,y,z)) = x \ L(x,y,z). [hyper(290,a,12703,a(flip),b,14010,a),flip(a)]. 14013 L(x,x,x) * L(1 / x,y,z) = x \ L(x,y,z). [hyper(165,a,14011,a)]. 14014 T(x,x \ 1) * L(1 / x,y,z) = x \ L(x,y,z). [hyper(65,a,2667,a,b,14013,a)]. 14015 T(x,y * (z * L(1 / z,u,w))) = T(x,y * (z \ L(z,u,w))). [para(14013(a,1),12465(a,1,2,2)),flip(a)]. 14016 L(1 / x,y,z) * K(T(x,x \ 1),L(1 / x,y,z)) = (x \ L(x,y,z)) / T(x,x \ 1). [hyper(121,a,14014,a(flip),b,4487,a),flip(a)]. 14017 K(x / a(y,z,u),x) = a(a(y,z,u) \ x,z,K(u,y)). [para(10(a,1),13687(a,1,2))]. 14018 a(a(x,y,z) \ u,y,K(z,x)) != w | K(a(x,y,z) \ u,u) = w. [para(14017(a,1),6035(a,1))]. 14019 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13755(a,1),13804(a,2,1))]. 14020 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(290,a,13743,a(flip),b,14019,a),flip(a)]. 14021 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(95(a,1),14020(a,1,2,2))]. 14022 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(10923(a,2),14021(a,1,2,2))]. 14023 L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = (1 / x) * K(x \ L(x,y,z),u). [hyper(41,a,12872,a,b,13962,a),flip(a)]. 14024 L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = (1 / x) * a(z,y,K(u,x)). [para(11498(a,1),14023(a,2,2))]. 14025 K(x,y \ (T(z,y \ (y \ 1)) * u)) = K(x,y * (z * ((y * y) \ u))). [para(79(a,1),13220(a,1,2,2)),flip(a)]. 14027 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(290,a,1259,a(flip),b,13639,a),flip(a)]. 14028 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(290,a,1604,a(flip),b,14027,a),flip(a)]. 14029 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(8731(a,1),14028(a,2,1,2))]. 14030 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(290,a,10257,a(flip),b,14029,a),flip(a)]. 14031 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(2196(a,1),14030(a,1,1))]. 14032 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(65,a,12651,a(flip),b,14031,a)]. 14033 K(x,L(y,T(1 / (z / u),z),(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). [para(1857(a,1),13770(a,1,2))]. 14034 K(x,L(y,1 / (z / u),(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). [para(13628(a,1),14033(a,1,2))]. 14035 L(1 / x,y,z) * K(T(x,x \ 1),L(x \ 1,y,z)) = (x \ L(x,y,z)) / T(x,x \ 1). [para(4788(a,1),14016(a,1,2))]. 14036 (x \ L(x,y,z)) / T(x,x \ 1) = L(1 / x,y,z) * K(x,L(x \ 1,y,z)). [para(3260(a,1),14035(a,1,2)),flip(a)]. 14037 (x \ L(x,y,z)) / T(x,x \ 1) = L(1 / x,y,z) * K(x,x \ 1). [para(5517(a,1),14036(a,2,2))]. 14038 (x \ L(x,y,z)) / T(x,x \ 1) = L(x \ 1,y,z). [hyper(290,a,4335,a(flip),b,14037,a),flip(a)]. 14040 T(T(x,y) / y,(y \ 1) * (y * y)) = (((y \ 1) \ 1) \ (((y \ 1) \ 1) \ x)) * ((y \ 1) \ 1). [hyper(65,a,1722,a(flip),b,12911,a)]. 14041 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6132(a,1),13151(a,1,1))]. 14042 a((a(x,x,x) * y) * K(x \ 1,y),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). [para(12295(a,1),13252(a,1,1,2))]. 14043 a(a(x,x,x) * (y * K(x \ 1,y)),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). [para(5795(a,1),14042(a,1,1))]. 14045 (T(x,K(y,z)) * K(y,z)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). [para(6758(a,1),13837(a,1,1))]. 14046 T(x * K(y,z),K(y,z)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). [para(8300(a,2),14045(a,1,1))]. 14047 T(x * (y * K(x,z)),K(x,z)) / T(1 / K(x,z),K(x,z) * (x * y)) = (x * y) * (K(x,z) * K(x,z)). [para(9677(a,1),14046(a,1,1,1))]. 14048 K(x,K(y,((z \ 1) * u) * w)) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). [para(7385(a,1),13965(a,1,1))]. 14049 (((x \ 1) \ 1) \ (((x \ 1) \ 1) \ y)) * ((x \ 1) \ 1) = T(T(y,x) / x,x * 1). [hyper(65,a,13270,a(flip),b,14040,a),flip(a)]. 14050 (((x \ 1) \ 1) \ (((x \ 1) \ 1) \ y)) * ((x \ 1) \ 1) = T(T(y,x) / x,x). [para(8(a,1),14049(a,2,2))]. 14051 (((x \ 1) \ 1) \ (((x \ 1) \ 1) \ y)) * ((x \ 1) \ 1) = x \ T(y,x). [hyper(290,a,106,a(flip),b,14050,a),flip(a)]. 14052 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3602(a,1),13152(a,1,1)),flip(a)]. 14054 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(290,a,8162,a(flip),b,14052,a),flip(a)]. 14056 T(x,y * ((z \ u) \ u)) = T(x,y * T(z,u)). [para(14054(a,1),12283(a,1,2,2)),flip(a)]. 14058 K(x,T(y,z * T(u,w)) * (z * T(u,w))) = K(x,(z * ((u \ w) \ w)) * y). [para(14056(a,1),12472(a,1,2,1))]. 14059 K(x,(y * ((z \ u) \ u)) * w) = K(x,(y * T(z,u)) * w). [hyper(11060,a,14058,a),flip(a)]. 14060 K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * ((u * z) * (1 / z))) * w). [para(6016(a,1),14059(a,1,2,1,2)),flip(a)]. 14061 K(x,(y * T(T(z,u),z * w)) * v5) = K(x,(y * T(T(z,w),u)) * v5). [para(7080(a,1),14059(a,1,2,1,2)),flip(a)]. 14062 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5195(a,1),13217(a,1,2))]. 14063 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(7792(a,1),14062(a,1,2))]. 14064 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(290,a,14032,a(flip),b,14063,a),flip(a)]. 14065 K(x,y * ((K(z,z * u) * (z \ w)) \ K(z * K(z * u,z),u))) = K(x,y / (R(z,u,z) \ w)). [para(5054(a,1),13260(a,1,2,2,1))]. 14066 T(T(T(x * K((y \ z) * x,T(x,u)),w),y \ z),K(u,z * y)) = R(T(x,w),T(y \ z,u),x). [para(12415(a,1),13850(a,1,1,1,1,2))]. 14067 K(x,y * ((K(z,z * u) * (z \ w)) \ K(z,T(u,z * u)))) = K(x,y / (R(z,u,z) \ w)). [para(7544(a,1),14065(a,1,2,2,2))]. 14068 K(x,y * ((K(z,z * u) * (z \ w)) \ K(z,u))) = K(x,y / (R(z,u,z) \ w)). [para(3670(a,1),14067(a,1,2,2,2))]. 14069 K(x,y * (((z \ u) \ K(z * w,z)) * K(z,w))) = K(x,y / (R(z,w,z) \ u)). [para(12867(a,1),14068(a,1,2,2))]. 14070 T(T((x \ y) \ T(z * (x \ y),T(z,u)),w),K(u,y * x)) = R(T(z,w),T(x \ y,u),z). [para(13089(a,1),14066(a,1,1))]. 14071 T(T(R(T(x,K(y \ z,u)),y \ z,x),w),K(u,z * y)) = R(T(x,w),T(y \ z,u),x). [para(13092(a,1),14070(a,1,1,1))]. 14072 T(T(R(T(x,K(y,z \ u)),z \ u,x),w),K(y,u * z)) = R(T(x,w),T(z \ u,y),x). [para(7476(a,1),14071(a,1,1,1,1))]. 14073 T(T(R(T(x,K(y,z * u)),z \ u,x),w),K(y,u * z)) = R(T(x,w),T(z \ u,y),x). [para(13320(a,1),14072(a,1,1,1,1))]. 14074 T(R(T(T(x,K(y,z * u)),w),z \ u,x),K(y,u * z)) = R(T(x,w),T(z \ u,y),x). [para(27(a,2),14073(a,1,1))]. 14075 R(T(T(T(x,K(y,z * u)),w),K(y,u * z)),z \ u,x) = R(T(x,w),T(z \ u,y),x). [hyper(65,a,27,a,b,14074,a)]. 14076 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2634(a,1),13076(a,1,2))]. 14078 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3538(a,1),14076(a,1,2)),flip(a)]. 14079 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(290,a,9286,a(flip),b,14078,a),flip(a)]. 14087 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(12900(a,1),13629(a,1,1,1,2))]. 14088 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(7881(a,1),14087(a,1,1,1,2))]. 14089 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5069(a,1),14088(a,1,1,1)),flip(a)]. 14090 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(3082(a,2),14089(a,1,2,2,1))]. 14091 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(81(a,1),14090(a,1,2,2))]. 14093 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10756(a,1),14091(a,1,2))]. 14094 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(190,a,14093,a(flip))]. 14096 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(290,a,4078,a(flip),b,13857,a),flip(a)]. 14097 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2488(a,1),14096(a,1,2,1)),flip(a)]. 14099 K(x,y * (z * (u * (w \ 1)))) * K(x,K(y,z * (u * (w \ 1)))) = K(x,(z * (u * (1 / w))) * y). [para(5270(a,1),13925(a,1,1))]. 14100 K(x,(y * (z * (1 / u))) * w) = K(x,(y * (z * (u \ 1))) * w). [hyper(13929,a,14099,a),flip(a)]. 14102 K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * ((u * z) * (z \ 1))) * w). [hyper(65,a,14060,a,b,14100,a)]. 14103 K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * R(u,z,z)) * w). [para(787(a,1),14102(a,2,2,1,2))]. 14104 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4314(a,1),12853(a,1,2))]. 14105 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(65,a,9203,a(flip),b,14104,a),flip(a)]. 14107 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(208(a,1),14105(a,1,2,2,1))]. 14108 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(14107(a,1),4096(a,1,2))]. 14109 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(14108(a,1),9933(a,2,1))]. 14110 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(12830(a,1),13552(a,1,1))]. 14111 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [hyper(65,a,5871,a(flip),b,14110,a)]. 14112 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(13335(a,1),14111(a,1,2))]. 14113 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(65,a,14064,a(flip),b,14112,a),flip(a)]. 14114 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14113(a,1),12723(a,1,1))]. 14115 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(((x \ 1) \ y) / (x \ 1),x \ 1). [hyper(290,a,7166,a(flip),b,12875,a),flip(a)]. 14116 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x \ 1) \ ((x \ 1) \ y),x \ 1). [hyper(290,a,10819,a(flip),b,14115,a),flip(a)]. 14117 T((x * K(y,z)) * ((K(y,z) \ 1) * u),K(x,(K(y,z) \ 1) * u)) = (x * K(z,y)) * (K(y,z) * u). [para(4814(a,1),13537(a,2,1,2))]. 14118 T((x * K(y,z)) * (K(z,y) * u),K(x,(K(y,z) \ 1) * u)) = (x * K(z,y)) * (K(y,z) * u). [para(4810(a,1),14117(a,1,1,2,1))]. 14119 T((x * K(y,z)) * (K(z,y) * u),K(x,K(z,y) * u)) = (x * K(z,y)) * (K(y,z) * u). [para(4810(a,1),14118(a,1,2,2,1))]. 14120 (x * K(y,z)) * (K(z,y) * u) = (x * K(z,y)) * (K(y,z) * u). [hyper(65,a,13484,a(flip),b,14119,a)]. 14121 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(9551(a,1),14041(a,1,2))]. 14122 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(65,a,6164,a(flip),b,14121,a)]. 14123 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(290,a,6351,a(flip),b,14122,a),flip(a)]. 14125 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(183,a,14123,a)]. 14126 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(65,a,14108,a(flip),b,14123,a),flip(a)]. 14127 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(14125(a,1),4199(a,1,2,1))]. 14128 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(290,a,6351,a(flip),b,14127,a),flip(a)]. 14129 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(14126(a,1),14128(a,1,1))]. 14130 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(65,a,14109,a,b,14129,a)]. 14131 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5885(a,1),14130(a,1,1))]. 14132 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(65,a,5236,a(flip),b,14131,a),flip(a)]. 14133 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(65,a,10544,a(flip),b,14132,a)]. 14134 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(183,a,14133,a)]. 14135 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(14134(a,1),2430(a,1,1)),flip(a)]. 14136 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(14135(a,2),6065(a,1,2,1))]. 14137 K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [hyper(10011,a,14136,a)]. 14138 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(65,a,13621,a(flip),b,14137,a),flip(a)]. 14139 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(67(a,1),14138(a,1,2)),flip(a)]. 14140 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(290,a,5047,a(flip),b,14139,a),flip(a)]. 14141 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(290,a,11253,a(flip),b,14140,a),flip(a)]. 14143 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(290,a,10010,a,b,14141,a),flip(a)]. 14144 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),14143(a,1,2,1,1,1)),flip(a)]. 14145 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(10132,a,14144,a),flip(a)]. 14146 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(11055,a,14145,a)]. 14147 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(65,a,10481,a(flip),b,14145,a)]. 14148 K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). [hyper(65,a,12712,a(flip),b,14146,a)]. 14149 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),14147(a,1,2,1,1)),flip(a)]. 14150 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(65,a,10301,a,b,14149,a)]. 14151 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(14148(a,2),6276(a,1,1))]. 14152 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(65,a,10302,a(flip),b,14150,a),flip(a)]. 14153 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7347,a,14152,a)]. 14155 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(65,a,8981,a(flip),b,14153,a),flip(a)]. 14157 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(104(a,1),14155(a,1,2,1,1,2)),flip(a)]. 14158 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(290,a,10099,a(flip),b,14157,a),flip(a)]. 14159 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8305,a,14158,a)]. 14160 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(290,a,5257,a(flip),b,14159,a),flip(a)]. 14161 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(81(a,1),14160(a,2,2,1,1))]. 14162 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(290,a,11885,a(flip),b,14161,a)]. 14164 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(14162(a,2),6276(a,1,1))]. 14165 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(65,a,6280,a(flip),b,14164,a)]. 14166 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). [hyper(65,a,6276,a(flip),b,14151,a)]. 14167 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(290,a,12083,a(flip),b,14166,a),flip(a)]. 14168 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(78(a,1),14167(a,2,2,2))]. 14169 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(65,a,14165,a,b,14168,a)]. 14171 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12004(a,1),14169(a,1,1))]. 14172 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12037,a,14171,a)]. 14173 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(290,a,12004,a(flip),b,14172,a),flip(a)]. 14174 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(65,a,12030,a(flip),b,14173,a),flip(a)]. 14176 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(65,a,12087,a(flip),b,14174,a),flip(a)]. 14177 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14176(a,2),4491(a,2,1)),flip(a)]. 14178 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4531,a,14177,a)]. 14179 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(290,a,12566,a,b,14178,a)]. 14180 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(65,a,9857,a(flip),b,14179,a)]. 14181 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(65,a,12040,a,b,14180,a)]. 14183 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3356(a,2),14180(a,2,2,1))]. 14184 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13649(a,1),14181(a,1,2))]. 14185 (T(x,y) * z) / T(1 / K(x,y),K(x,y) * (x * z)) = (x * z) * (K(x,y) * K(x,y)). [para(7797(a,1),14047(a,1,1))]. 14186 (T(x,y) * z) / T(K(y,x),K(x,y) * (x * z)) = (x * z) * (K(x,y) * K(x,y)). [para(4814(a,1),14185(a,1,2,1))]. 14187 (x * (y * (y * K(T(x,z),z)))) \ T(T(x,z),T(x,z) * (y * y)) = ((y * y) * T(x,z)) \ T(x,z). [para(12956(a,1),13901(a,1,1))]. 14188 (x * (y * (y * K(x,z)))) \ T(T(x,z),T(x,z) * (y * y)) = ((y * y) * T(x,z)) \ T(x,z). [para(4575(a,1),14187(a,1,1,2,2,2))]. 14189 (x * (T(y \ 1,x) \ y)) \ T(T(x,y \ 1),T(x,y \ 1) * (y * y)) = ((y * y) * T(x,y \ 1)) \ T(x,y \ 1). [para(13174(a,1),14188(a,1,1,2))]. 14190 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(8(a,1),13611(a,1,1)),flip(a)]. 14191 ((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(8490(a,1),14190(a,2,3))]. 14192 (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(8490(a,1),14191(a,1,1))]. 14193 (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(8272(a,1),14192(a,1,2))]. 14194 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(65,a,9257,a(flip),b,14193,a)]. 14195 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(4837(a,1),14194(a,1,2)),flip(a)]. 14196 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(290,a,4837,a(flip),b,14195,a),flip(a)]. 14199 ((1 / x) * (x \ ((x \ 1) \ y))) * K(x \ ((x \ 1) \ y),z) = ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)). [para(12932(a,1),13994(a,1,1))]. 14200 ((x * x) \ ((x \ 1) \ y)) * K(x \ ((x \ 1) \ y),z) = ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)). [para(664(a,1),14199(a,1,1))]. 14201 ((x \ (x * x)) \ y) * K(x \ ((x \ 1) \ y),z) = ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)). [para(682(a,1),14200(a,1,1))]. 14202 ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)) = (x \ y) * K(x \ ((x \ 1) \ y),z). [para(9(a,1),14201(a,1,1,1)),flip(a)]. 14203 ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)) = (x \ y) * K(y,z). [para(12870(a,1),14202(a,2,2))]. 14204 ((x \ y) / x) * (x * K(x \ ((x \ 1) \ y),z)) = x \ T(y,z). [hyper(290,a,13120,a(flip),b,14203,a),flip(a)]. 14206 ((x \ y) / x) * (x * K(y,z)) = x \ T(y,z). [para(12870(a,1),14204(a,1,2,2))]. 14207 (1 / x) * T(x \ ((x \ 1) \ y),z) = x \ T(y,z). [hyper(14004,a,14206,a)]. 14209 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(9(a,1),14114(a,1,1,1))]. 14210 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(9(a,1),14209(a,1,1,3)),flip(a)]. 14211 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(5791(a,1),14210(a,2,2))]. 14212 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(9(a,1),14211(a,2,2,2))]. 14213 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4575(a,1),14212(a,2,2))]. 14214 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(290,a,8410,a(flip),b,14213,a),flip(a)]. 14215 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(5972,a,14214,a)]. 14216 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),14215(a,1,2))]. 14217 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(6130,a,14216,a)]. 14218 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(8740,a,14217,a)]. 14219 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),14218(a,2,1))]. 14220 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(65,a,10711,a(flip),b,14219,a),flip(a)]. 14221 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(6122,a,14220,a)]. 14223 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(65,a,6706,a(flip),b,14221,a)]. 14225 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(65,a,10639,a(flip),b,14223,a)]. 14226 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),14223(a,1,1,2,1)),flip(a)]. 14227 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(14225(a,1),13986(a,1,1,1,2))]. 14228 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(290,a,9660,a,b,14226,a),flip(a)]. 14229 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(14228(a,1),278(a,1,2))]. 14230 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(65,a,9956,a,b,14229,a)]. 14231 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(278(a,1),14227(a,1,1,1))]. 14233 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(7747(a,1),14231(a,1,1))]. 14234 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(103(a,1),14233(a,1,2,2,2))]. 14235 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8583(a,1),14234(a,1,2))]. 14236 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2641(a,1),14235(a,1,2))]. 14237 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(65,a,11687,a(flip),b,14236,a)]. 14238 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(65,a,10400,a(flip),b,14237,a)]. 14239 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(195(a,1),14238(a,1,2)),flip(a)]. 14240 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(65,a,10421,a,b,14239,a)]. 14243 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(65,a,9148,a(flip),b,14240,a)]. 14245 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(65,a,10737,a(flip),b,14243,a),flip(a)]. 14246 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(14245(a,1),4672(a,1,2))]. 14247 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(65,a,9954,a,b,14246,a)]. 14248 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(14097(a,1),14183(a,1,1))]. 14249 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(81(a,1),14248(a,1,1,2,1,2,1))]. 14250 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(9119(a,1),14249(a,1,1))]. 14251 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(65,a,6878,a(flip),b,14250,a)]. 14253 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(81(a,1),14251(a,1,2,2,1)),flip(a)]. 14254 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(290,a,10925,a(flip),b,14253,a),flip(a)]. 14256 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(290,a,14180,a(flip),b,14254,a),flip(a)]. 14257 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),14256(a,2,2,1))]. 14258 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3356(a,1),14257(a,1,2,1))]. 14259 K(x,y * y) * (((x * T(y * y,z)) \ u) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). [para(13199(a,1),13210(a,1,1))]. 14261 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(12925(a,1),13116(a,2,1,2))]. 14262 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(9871(a,1),14261(a,2,1))]. 14263 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3259(a,1),14262(a,2,1,1))]. 14264 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6767(a,1),14263(a,2,2))]. 14265 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(290,a,13608,a(flip),b,14264,a),flip(a)]. 14267 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(9380(a,1),14265(a,1,1))]. 14268 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14267(a,1),9589(a,1,2)),flip(a)]. 14269 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(290,a,8736,a(flip),b,14268,a),flip(a)]. 14271 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6512(a,1),14269(a,1,2,1))]. 14272 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(9380(a,1),14271(a,1,2))]. 14273 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(183,a,14272,a)]. 14274 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14273(a,1),4285(a,1,1,1))]. 14275 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) \ ((x \ 1) \ y),T(x \ 1,y)). [para(7224(a,1),13862(a,1,2)),flip(a)]. 14276 L(T(x * K(y,x),K(x,y) * (x \ z)),x * K(y,x),x * K(y,x)) = T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)). [para(5054(a,1),13274(a,1,1,2))]. 14277 L(T(x * K(y,x),x \ z),x * K(y,x),x * K(y,x)) = T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)). [para(8712(a,1),14276(a,1,1))]. 14278 T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)) = L(T(x * K(y,x),x \ z),x * K(y,x),T(x,y)). [hyper(6599,a,14277,a),flip(a)]. 14280 K(a(x,y,z) * (u / a(x,y,z)),a(x,y,z) \ u) = (w * 1) / (K(a(x,y,z) \ u,a(x,y,z)) * w). [para(68(a,1),12772(a,1,1,2)),flip(a)]. 14281 K(a(x,y,z) * (u / a(x,y,z)),a(x,y,z) \ u) = w / (K(a(x,y,z) \ u,a(x,y,z)) * w). [para(8(a,1),14280(a,2,1))]. 14283 K(a(x,y,z) * (u / a(x,y,z)),a(x,y,z) \ u) = w / (a(a(x,y,z) \ u,y,K(z,x)) * w). [para(13658(a,2),14281(a,2,2,1))]. 14284 T((x / a(y,z,u)) * a(y,z,K(u,a(y,z,u) * x)),(a(y,z,u) \ x) * a(y,z,u)) = L(x / a(y,z,u),a(y,z,u),x / a(y,z,u)). [para(13787(a,1),13061(a,1,1,2))]. 14285 L(((a(x,y,x) \ z) * (a(x,y,x) * (u * w))) \ ((z * u) * w),a(x,y,x) \ (z * (a(x,y,x) * (u * w))),a(x,y,x)) = a(z,a(x,y,x) * u,w). [para(11949(a,1),12584(a,1,1,1))]. 14286 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (((x \ 1) \ 1) \ 1))) * (x * x) = ((1 / x) \ (y * (1 / ((x \ 1) \ 1)))) * ((1 / x) \ x). [para(2568(a,1),13818(a,2,1,1))]. 14287 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (((x \ 1) \ 1) \ 1))) * (x * x) = ((1 / x) \ (y * (x \ 1))) * ((1 / x) \ x). [para(78(a,1),14286(a,2,1,2,2))]. 14289 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (((x \ 1) \ 1) \ 1))) * (x * x) = ((x \ 1) \ (y * (1 / x))) * ((1 / x) \ x). [para(10315(a,1),14287(a,2,1))]. 14290 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (((x \ 1) \ 1) \ 1))) * (x * x) = (x \ 1) \ (y * x). [hyper(290,a,2386,a(flip),b,14289,a),flip(a)]. 14291 (x \ T(y * ((x \ 1) \ 1),((x \ 1) \ 1) \ (1 / x))) * (x * x) = (x \ 1) \ (y * x). [para(2568(a,1),14290(a,1,1,2,2,2))]. 14292 (x \ T(y * ((x \ 1) \ 1),x \ (x \ 1))) * (x * x) = (x \ 1) \ (y * x). [para(3518(a,1),14291(a,1,1,2,2))]. 14293 L((x * (y * z)) \ ((x * y) * z),a(u,w,u) \ (x * (a(u,w,u) * (y * z))),a(u,w,u)) = a(x,a(u,w,u) * y,z). [para(12436(a,1),14285(a,1,1,1))]. 14294 L(a(x,y,z),a(u,w,u) \ (x * (a(u,w,u) * (y * z))),a(u,w,u)) = a(x,a(u,w,u) * y,z). [para(14(a,2),14293(a,1,1))]. 14296 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(11955,a,14294,a)]. 14298 a(x,y * a(z,u,z),w) = a(x,y,w). [para(10218(a,1),14296(a,1,2))]. 14299 a(x,y / L(z,u,z),w) = a(x,y / z,w). [para(8694(a,1),14298(a,1,2))]. 14300 a(x,(y * z) / y,u) = a(x,y * (z / y),u). [para(544(a,1),14299(a,1,2)),flip(a)]. 14301 a(x,y * (z / y),u) = a(x,T(z,y),u). [hyper(8929,a,14300,a),flip(a)]. 14303 a(x,T(y,y * z),u) = a(x,z * (y / z),u). [hyper(65,a,6295,a(flip),b,14301,a),flip(a)]. 14304 a(x,T(y,y * z),u) = a(x,T(y,z),u). [hyper(290,a,14301,a(flip),b,14303,a),flip(a)]. 14305 a(x,(y \ z) \ z,u) = a(x,T(y,z),u). [hyper(65,a,13303,a(flip),b,14304,a)]. 14306 ((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(8148(a,1),12150(a,1,2))]. 14307 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8736(a,1),14274(a,1,1))]. 14308 (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(14273(a,1),14307(a,1,2,2))]. 14309 (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(7097(a,1),14308(a,1,2))]. 14310 (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(5685(a,1),14309(a,1,2))]. 14311 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14196(a,1),14310(a,1,2)),flip(a)]. 14312 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14273(a,1),14311(a,1,1,1,1))]. 14313 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(8736(a,1),14312(a,1,1,1))]. 14314 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14273(a,1),14313(a,1,1)),flip(a)]. 14315 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(14314(a,1),8312(a,1,1))]. 14316 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(7889(a,1),14315(a,1,2))]. 14317 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(65,a,13896,a(flip),b,14316,a)]. 14318 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(4441(a,1),14317(a,1,2))]. 14319 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(9266,a,14318,a),flip(a)]. 14321 (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(65,a,11311,a(flip),b,14306,a)]. 14322 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(8864(a,1),14321(a,1,2,2)),flip(a)]. 14323 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(7429(a,1),14322(a,2,2))]. 14325 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(12197(a,1),14323(a,2,2))]. 14326 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(7411(a,1),14325(a,2,2))]. 14327 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(8148(a,1),14326(a,1,1))]. 14328 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(65,a,9003,a,b,14327,a)]. 14329 (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(12149(a,1),14328(a,1,1)),flip(a)]. 14330 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(14329(a,1),569(a,1))]. 14339 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(14319(a,1),9621(a,1,1))]. 14340 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5081(a,1),14339(a,1,1,1)),flip(a)]. 14341 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5022(a,1),14340(a,2,2))]. 14342 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(13222(a,1),14341(a,2,2))]. 14343 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(10107(a,1),14342(a,2,2))]. 14344 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),14343(a,2,2,1))]. 14345 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(290,a,5732,a(flip),b,14344,a),flip(a)]. 14347 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(290,a,8341,a(flip),b,14345,a),flip(a)]. 14348 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6512(a,1),14347(a,1,1,1))]. 14349 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14319(a,1),14348(a,1,1))]. 14350 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5081(a,1),14349(a,1,1,1))]. 14351 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(65,a,4065,a(flip),b,14350,a)]. 14352 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(3657(a,1),14351(a,2,1))]. 14353 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12616(a,1),14352(a,2,2))]. 14354 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12616(a,1),14353(a,1,1,1))]. 14355 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(290,a,14184,a(flip),b,14354,a),flip(a)]. 14356 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12650(a,1),14355(a,1,1))]. 14357 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1833(a,1),12720(a,2,1))]. 14358 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(290,a,12211,a(flip),b,14357,a),flip(a)]. 14360 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(9915(a,1),14358(a,1,1))]. 14361 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(65,a,10373,a(flip),b,14360,a)]. 14362 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(65,a,12695,a(flip),b,14361,a),flip(a)]. 14363 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [hyper(290,a,13662,a(flip),b,14362,a),flip(a)]. 14364 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(14362(a,2),11529(a,1,1))]. 14365 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(14362(a,2),11858(a,1,1))]. 14366 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14363(a,2),14356(a,1,1))]. 14367 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(824,a,14364,a)]. 14368 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(4114(a,1),14367(a,1,1))]. 14369 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(824,a,14365,a)]. 14370 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(3740,a,14366,a)]. 14371 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(65,a,14369,a(flip),b,14370,a),flip(a)]. 14372 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(65,a,14258,a(flip),b,14371,a),flip(a)]. 14373 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(8828(a,1),14372(a,1,2,1))]. 14374 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(4297(a,1),14368(a,1,2,1))]. 14375 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(65,a,14367,a(flip),b,14374,a),flip(a)]. 14376 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(65,a,14373,a(flip),b,14375,a),flip(a)]. 14377 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4411(a,2),14376(a,1,2,1,2))]. 14378 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(175(a,1),14377(a,1,2,1)),flip(a)]. 14379 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(14378(a,1),4408(a,2,2)),flip(a)]. 14380 K(x * R(y,z,u),T(w,L(y,z,u))) != v5 | K(R(y,z,u) * x,w) = v5. [para(14378(a,1),11013(a,1,2))]. 14381 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(4510,a,14379,a),flip(a)]. 14382 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(14379(a,1),4510(a,1))]. 14385 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(290,a,11461,a(flip),b,14381,a),flip(a)]. 14387 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(101(a,1),14381(a,1,1)),flip(a)]. 14388 x * (K(L(y,z,u),x) * R(y,z,u)) = R(y,z,u) * x. [para(14381(a,1),4557(a,1,2,1))]. 14389 K(R(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(14381(a,2),11478(a,1))]. 14390 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(12039,a,14385,a)]. 14391 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(65,a,11995,a,b,14385,a)]. 14392 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(101(a,1),14390(a,1,2)),flip(a)]. 14393 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(277(a,1),14390(a,1,2)),flip(a)]. 14394 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(645(a,1),14390(a,1,2)),flip(a)]. 14395 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(14390(a,1),507(a,1,2))]. 14396 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14390(a,1),8840(a,1,2))]. 14397 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(290,a,13049,a,b,14391,a)]. 14398 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(290,a,11433,a,b,14391,a),flip(a)]. 14399 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(65,a,10840,a(flip),b,14391,a),flip(a)]. 14400 K((x * y) / (z * y),u) = K(x / z,L(u,x,y)). [hyper(65,a,6273,a(flip),b,14391,a)]. 14401 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14391(a,1),100(a,1,1))]. 14403 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14391(a,1),10834(a,1,1))]. 14404 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(65,a,6286,a(flip),b,14398,a),flip(a)]. 14405 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14398(a,1),100(a,1,1))]. 14406 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(14398(a,1),179(a,1,1))]. 14407 (K(x,T(y,z * u)) * z) * u = (z * u) * L(K(x,y),z,u). [para(14398(a,1),7526(a,2,2))]. 14408 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(14398(a,2),11458(a,1))]. 14409 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14398(a,1),13619(a,1,1))]. 14412 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(7726,a,14387,a)]. 14413 K(x,L(y / (z \ u),z \ u,z)) = K(x,(y * z) / T(u,z)). [hyper(290,a,12402,a(flip),b,14392,a),flip(a)]. 14414 K(x,L((y * K(z,y)) / u,u,z)) = K(x,(z * y) / (u * z)). [para(4487(a,1),14392(a,2,2,1))]. 14415 K(x,(y * z) / ((u * T(u \ z,z)) * ((z \ u) \ 1))) = K(x,L(y / ((z \ u) \ 1),(z \ u) \ 1,z)). [para(5223(a,2),14392(a,2,2,2)),flip(a)]. 14416 T(x,K(y,L((z / u) / w,w,u))) = x * K(y,K(x,z / (w * u))). [para(14393(a,1),7416(a,1,2,2)),flip(a)]. 14417 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14393(a,1),8243(a,2,2))]. 14418 K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(L(w,L(x,y,z),u),x)). [hyper(290,a,11495,a(flip),b,14400,a),flip(a)]. 14419 (x * y) * K(z,L(T(u,y * x),x,y)) = (K(z,u) * x) * y. [hyper(65,a,13327,a,b,14401,a)]. 14420 (K(x,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. [para(14401(a,1),46(a,1))]. 14421 ((K(x,y) * z) * u) * a(x,z,K(u,L(y,z,u))) = (K(x,L(y,z,u)) * z) * u. [para(14401(a,1),13652(a,1,1))]. 14422 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(65,a,7125,a(flip),b,14404,a)]. 14423 ((K(x,y) * K(x,y)) * (z * u)) / u = L(K(x,y),K(x,y),z) * (K(x,y) * z). [hyper(290,a,110,a,b,14405,a)]. 14424 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(13049(a,2),14397(a,2,1))]. 14425 K(L(x,y,z),u) * R(x,y,z) = R(T(x,u),y,z). [hyper(36,a,227,a,b,14388,a),flip(a)]. 14426 K(x,y) * R(x,z,z) = R(T(x,y),z,z). [para(12787(a,1),14425(a,1,1))]. 14427 R(T(x,y),z,z) * K(y,x) = T(R(x,z,z),K(x,y)). [para(14426(a,1),7483(a,1,1))]. 14428 R(T(x,y),z,z) / x = K(x,y) * a(x,z,z). [para(14426(a,1),9852(a,1,1))]. 14429 K(x,y) * (K(y,x) * a(y,z,z)) = a(T(y,x),z,z). [para(14428(a,1),8781(a,1,2))]. 14430 R(T(x,y),z,z) * K(y,x) = R(T(x,K(x,y)),z,z). [hyper(290,a,27,a,b,14427,a),flip(a)]. 14431 a(T(x,y),z,z) = a(x,z,z). [hyper(4844,a,14429,a),flip(a)]. 14433 a(L(T(x,y),z,u),w,w) = a(L(x,z,u),w,w). [para(25(a,2),14431(a,1,1))]. 14434 a(R(T(x,y),z,u),w,w) = a(R(x,z,u),w,w). [para(27(a,2),14431(a,1,1))]. 14435 a(x / y,z,z) = a(y \ x,z,z). [para(106(a,1),14431(a,1,1)),flip(a)]. 14436 (x * y) \ (y * R(T(x,y),z,z)) = L(a(x,z,z),x,y). [para(14431(a,1),10937(a,2,1))]. 14437 R(a(x \ y,z,z),x \ y,x) = (x * R(x \ y,z,z)) / y. [para(14435(a,1),10841(a,1,1))]. 14438 R(T(x,y),z,z) * K(y,x) = R(x,z,z). [para(3261(a,1),14430(a,2,1))]. 14439 R(x,y * K(x,y),y * K(x,y)) = R(x,y,y). [hyper(6938,a,14438,a)]. 14440 R(x,T(y,x),T(y,x)) = R(x,y,y). [hyper(8931,a,14439,a)]. 14441 (x * y) * (T(x,y) \ 1) = R(y,x,x). [hyper(65,a,793,a(flip),b,14440,a)]. 14442 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(486(a,1),14394(a,1,2)),flip(a)]. 14443 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(7490(a,1),14394(a,2,2,1,2))]. 14444 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(13780,a,14399,a)]. 14445 K(x,L((y / z) * u,z \ y,z)) = K(x,y / ((u \ 1) * z)). [hyper(13107,a,14399,a)]. 14446 K(x,L(y / z,u,y \ u)) = K(x,u / (z * (y \ u))). [para(78(a,1),14444(a,1,2,1,1))]. 14447 K(x,L((y * z) / u,R(y,z,z),z \ 1)) = K(x,R(y,z,z) / (u * (z \ 1))). [para(785(a,1),14444(a,1,2,1,1))]. 14448 K(x,L((y / z) / (u \ w),y,z)) = K(x,y / ((u \ 1) * (u \ (((1 / u) \ w) * z)))). [para(2362(a,2),14444(a,2,2,2))]. 14449 K(x,y / ((z \ 1) * u)) != w | K(x,L((y / u) * z,y,u)) = w. [para(14444(a,1),13107(a,1))]. 14450 (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,z \ u,z)) * u. [hyper(308,a,14403,a),flip(a)]. 14451 (x * y) \ (R(x,z,z) * y) = L(a(x,z,z),x,y). [para(227(a,1),14436(a,1,2))]. 14453 R(T(a(x,y,y),x * z),x,z) = L(a(x,y,y),x,z). [hyper(2207,a,14451,a)]. 14454 R(a(x,y,y),x,z) = L(a(x,y,y),x,z). [para(13065(a,1),14453(a,1,1))]. 14456 K(((x \ y) * x) \ z,T(u,T((x \ 1) \ y,x))) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). [para(2121(a,1),14412(a,1,1,1))]. 14457 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(w,K((y * u) \ z,T(x,v5))). [para(14412(a,1),13505(a,1,2))]. 14458 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(290,a,13384,a,b,14442,a),flip(a)]. 14459 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(290,a,5016,a(flip),b,14458,a),flip(a)]. 14460 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(7833,a,14459,a)]. 14462 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(229,a,14407,a,b,10930,a(flip))]. 14464 T(K(x,y * y) * z,u) = T(z,u) * K(x,y * y). [para(13199(a,1),14462(a,1,1,1))]. 14465 T(K(x,y * y) * z,u) = K(x,y * y) * T(z,u). [hyper(13202,a,14464,a(flip)),flip(a)]. 14466 x * T(K(y,z * z) * T(u,x),w) = T(u,w) * (x * K(y,z * z)). [para(14464(a,2),11557(a,1,2))]. 14467 K(x,L(y / (z \ u),u,z)) = K(x,(y * z) / T(u,z)). [hyper(13780,a,14413,a)]. 14468 K(x,L(y / ((z \ u) \ z),z,z \ u)) = K(x,(y * (z \ u)) / ((z \ u) \ u)). [para(105(a,1),14467(a,2,2,2))]. 14469 T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). [hyper(229,a,14419,a(flip),b,11454,a(flip)),flip(a)]. 14471 (x \ L(x,y,y)) * K(z,T(u,w * (x \ L(x,y,y)))) = T(K(z,u) * (x \ L(x,y,y)),w). [para(12786(a,1),14469(a,1,1))]. 14472 (a(x,x,y) \ 1) * K(z,T(u,w * (a(x,x,y) \ 1))) = T(K(z,u) * (a(x,x,y) \ 1),w). [para(12796(a,1),14469(a,1,1))]. 14473 L(a(x \ y,z,z),x \ y,x) = (x * R(x \ y,z,z)) / y. [hyper(65,a,14454,a(flip),b,14437,a)]. 14474 K(x,L(((y / z) \ 1) \ u,z \ y,z)) = K(x,y / ((u \ 1) * z)). [hyper(65,a,13100,a,b,14445,a)]. 14475 (x * R(x \ y,z,z)) / y = y \ (x * R(x \ y,z,z)). [hyper(2201,a,14473,a),flip(a)]. 14476 (x / y) \ R(x / y,z,z) = y \ (x * R(x \ y,z,z)). [hyper(65,a,1763,a(flip),b,14475,a)]. 14477 x \ (y * R(y \ x,z,z)) = a(y / x,z,z). [hyper(2203,a,14476,a),flip(a)]. 14478 x \ (y * R(y \ x,z,z)) = a(x \ y,z,z). [hyper(290,a,14435,a(flip),b,14477,a),flip(a)]. 14479 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,u)) = a(L(z,y,x),u,u). [para(18(a,2),14478(a,2,1))]. 14480 (x * y) \ (((z * x) * y) * R(((z * x) * y) \ (x * y),u,u)) = a(R(T(z,x * y),x,y),u,u). [para(633(a,1),14478(a,2,1))]. 14481 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13686(a,1),14395(a,1,2))]. 14482 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(5965,a,14481,a)]. 14483 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(14482(a,1),9275(a,1,2))]. 14484 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5611,a,14409,a)]. 14485 T(x,K(y,L((z / u) / w,w,u))) = x * K(x,K(y,z / (w * u))). [para(7411(a,1),14416(a,2,2))]. 14486 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13010(a,1),14417(a,1,2))]. 14487 K(x,L(y,z \ u,z)) * u = (K(x,y) * (u / z)) * z. [hyper(65,a,5996,a(flip),b,14450,a),flip(a)]. 14488 K(x,y \ (z * (u * (z \ y)))) * y = (K(x,T(u,z \ y)) * (y / z)) * z. [para(736(a,1),14487(a,1,1,2))]. 14489 K(x,L(((y / z) \ 1) \ u,y / z,z)) = K(x,y / ((u \ 1) * z)). [hyper(65,a,10952,a,b,14474,a)]. 14490 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(65,a,8710,a,b,14484,a)]. 14491 T(x,K(y,L((z / u) / w,w,u))) = x * K(x,K(y,(w * u) \ z)). [para(13450(a,1),14485(a,2,2))]. 14492 T(x,K(y,L((z / u) / w,w,u))) != x * v5 | K(x,K(y,(w * u) \ z)) = v5. [para(14491(a,2),45(a,1))]. 14493 K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(w,L(x,L(x,y,z),u))). [para(11461(a,1),14418(a,2,3))]. 14494 x * T(T(K(y,z * z) * u,x),w) = T(u,w) * (x * K(y,z * z)). [para(14465(a,2),14466(a,1,2,1))]. 14495 K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(w,x)). [para(11443(a,1),14493(a,2,3))]. 14497 T(K(x,y * y) * z,u) * w = T(z,u) * (w * K(x,y * y)). [hyper(378,a,14494,a)]. 14498 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(6438,a,14483,a),flip(a)]. 14499 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(733,a,14498,a),flip(a)]. 14500 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(14499(a,1),6437(a,1,2))]. 14501 ((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(7102(a,1),14500(a,1,1,1))]. 14502 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,(y * u) \ z)). [para(13462(a,1),14457(a,2,2))]. 14503 (K(x,T(y,z \ u)) * (u / z)) * z = u * K(x,(z * (y * (z \ u))) / u). [hyper(65,a,7568,a(flip),b,14488,a),flip(a)]. 14504 x * K(y,(z * (u * (z \ x))) / x) = ((x / z) * K(y,u)) * z. [para(13349(a,1),14503(a,1,1)),flip(a)]. 14505 ((K(x,y) * z) * u) * a(x,z,K(u,y)) = (K(x,L(y,z,u)) * z) * u. [para(9665(a,1),14421(a,1,2,3))]. 14507 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = (K(x,L(y,z,u)) * z) * u. [para(13688(a,1),14505(a,1,2))]. 14508 (K(x,L(y,z,u)) * z) * u = K(x,y) * (z * u). [hyper(13866,a,14507,a),flip(a)]. 14509 K(x,L(L(y,z,u),z,u)) = K(x,y). [hyper(14420,a,14508,a)]. 14510 (K(x,L(y,z,u)) * (z * u)) * u = K(x,y) * ((z * u) * u). [para(13777(a,1),14508(a,1,1,1))]. 14511 K(x,L((y * z) \ u,z,y)) = K(x,z \ (y \ u)). [para(273(a,1),14509(a,1,2,1))]. 14512 K(x,(y * (y * z)) \ u) = K(x,z \ (y \ (y \ u))). [hyper(65,a,13773,a(flip),b,14511,a)]. 14513 K(x,L(y \ z,u,y / u)) = K(x,u \ ((y / u) \ z)). [para(12(a,1),14511(a,1,2,1,1))]. 14514 K(x,L((y * z) \ u,T(y,z),z)) = K(x,T(y,z) \ (z \ u)). [para(104(a,1),14511(a,1,2,1,1))]. 14515 K(x,L(a(y,y \ z,u),(y \ z) * u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(87(a,1),14511(a,1,2,1))]. 14516 K(x,L(R(y,z,z) \ u,a(y,z,z),y)) = K(x,a(y,z,z) \ (y \ u)). [para(2198(a,1),14511(a,1,2,1,1))]. 14517 K(x,L(y * (y * z),u,w) \ v5) = K(x,L(z,u,w) \ (y \ (y \ v5))). [para(4332(a,2),14512(a,1,2,1))]. 14518 ((K(x,y) * z) * u) * u = K(x,y) * ((z * u) * u). [para(14401(a,1),14510(a,1,1))]. 14519 (K(x,K(y,z * u)) * z) * u = T(z * u,K(x,y)). [hyper(37,a,7437,a(flip),b,14518,a),flip(a)]. 14520 ((K(x,y) * z) * (u * u)) \ (K(x,y) * ((z * u) * u)) = a(K(x,y) * z,u,u). [hyper(120,a,14518,a(flip),b,86,a)]. 14522 (T(K(x,y),(x \ R(x,y,x)) * z) * K(x * y,x)) * z = T((x \ R(x,y,x)) * z,K(x,y)). [para(7856(a,1),14519(a,1,1))]. 14523 K(x,L((y * z) \ u,y,z)) = K(x,T(y,z) \ (z \ u)). [hyper(65,a,10944,a(flip),b,14514,a)]. 14524 K(x,L((((y * z) / y) * (z \ y)) \ u,(y * z) / y,z \ y)) = K(x,((z \ y) \ T(y,z)) \ ((z \ y) \ u)). [para(1145(a,1),14523(a,2,2,1))]. 14525 K(x,L((y * (z * (u * K(w,u)))) \ v5,y * (z * u),K(w,L(u,z,y)))) = K(x,T(y * (z * u),K(w,L(u,z,y))) \ (K(w,L(u,z,y)) \ v5)). [para(9013(a,1),14523(a,1,2,1,1))]. 14526 K(x,L((y * L(1 / y,z,u)) \ w,y \ 1,L(y,z,u))) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). [para(11204(a,1),14523(a,1,2,1,1))]. 14527 (K(x,y) * (K(x,y) * (z * u))) / u = L(K(x,y),K(x,y),z) * (K(x,y) * z). [para(8272(a,1),14423(a,1,1))]. 14528 (x * x) \ ((K(y,z) * u) \ (K(y,z) * ((u * x) * x))) = a(K(y,z) * u,x,x). [hyper(561,a,14520,a)]. 14529 (K(x,y) * (K(x,y) * (z * u))) / u = K(x,y) * (K(x,y) * z). [para(8462(a,1),14527(a,2,1))]. 14530 (K(x,y) * (K(x,y) * z)) * u = K(x,y) * (K(x,y) * (z * u)). [hyper(139,a,14529,a)]. 14532 (x * (T(T(x,y),y) \ z)) * u = K(y,x) * (K(y,x) * (z * u)). [para(5549(a,1),14530(a,1,1))]. 14533 (x * (T(T(x,y),y) \ z)) * u = x * (T(T(x,y),y) \ (z * u)). [hyper(290,a,5549,a(flip),b,14532,a),flip(a)]. 14534 a(x,y \ z,K(u,L(y,(y \ z) * u,y))) = K(x,((y \ z) * u) \ (y \ (z * u))). [hyper(65,a,13752,a,b,14515,a)]. 14535 K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(u,y)). [para(9725(a,1),14534(a,1,3)),flip(a)]. 14536 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,z,K(y,x)). [hyper(290,a,13758,a(flip),b,14535,a),flip(a)]. 14538 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,u))) = a(L(z,y,x),u,u). [para(1064(a,1),14479(a,1,2))]. 14539 (x * y) \ (x * (y * (z * R(z \ 1,u,u)))) = a(L(z,y,x),u,u). [para(1063(a,1),14538(a,1,2,2))]. 14540 (x * y) \ (x * (y * (z \ R(z,u,u)))) = a(L(z,y,x),u,u). [para(1762(a,1),14539(a,1,2,2,2))]. 14541 (x * y) \ (x * (y * a(z,u,u))) = a(L(z,y,x),u,u). [para(2197(a,1),14540(a,1,2,2,2))]. 14542 a(L(x,y,z),u,u) = L(a(x,u,u),y,z). [hyper(463,a,14541,a),flip(a)]. 14543 (x * y) * a(L(z,x,y),u,u) = y * (T(x,y) * a(z,u,u)). [para(14542(a,2),10930(a,1,2))]. 14544 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(290,a,13337,a,b,14422,a),flip(a)]. 14545 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12149(a,1),14490(a,1,1))]. 14546 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7476(a,1),14545(a,1,1,2))]. 14547 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(14330,a,14546,a)]. 14548 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7670(a,2),14547(a,1,2,2))]. 14549 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8373(a,2),14548(a,1,2))]. 14550 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(7470(a,2),14549(a,1,2,2,2))]. 14551 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(5853(a,1),14544(a,1,2,2))]. 14552 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6142(a,1),14551(a,1,2)),flip(a)]. 14553 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(290,a,9,a(flip),b,14552,a),flip(a)]. 14554 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5208,a,14553,a),flip(a)]. 14556 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14553(a,1),5208(a,1))]. 14557 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(14230(a,1),14554(a,1,1,1,2,1,2))]. 14558 (a(x,x,y) \ 1) * K(z,T(u,w / a(x,x,y))) = T(K(z,u) * (a(x,x,y) \ 1),w). [para(11326(a,1),14472(a,1,2))]. 14559 (a(x,x,y) \ 1) * K(z,T(u,a(x,x,y) \ w)) = T(K(z,u) * (a(x,x,y) \ 1),w). [para(13337(a,1),14558(a,1,2))]. 14560 T((x \ R(x,y,x)) * z,K(x,y)) = (T(K(x,y),z) * K(x * y,x)) * z. [para(12285(a,1),14522(a,1,1,1)),flip(a)]. 14561 T((x \ R(x,y,x)) * z,K(x,y)) = (T(x,K(y,z)) \ R(x,y,x)) * z. [para(8688(a,1),14560(a,2,1))]. 14563 T((x \ R(x,y,x)) * z,K(x,y)) = (x \ R(T(x,K(y,z)),y,x)) * z. [para(9959(a,1),14561(a,2,1))]. 14564 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(7131(a,2),14550(a,1,2,2))]. 14565 (x * y) \ (((z * x) * R((z * x) \ x,u,u)) * y) = a(R(T(z,x * y),x,y),u,u). [para(1621(a,1),14480(a,1,2))]. 14566 (x * y) \ (((z \ R(z,u,u)) * x) * y) = a(R(T(z,x * y),x,y),u,u). [para(1764(a,1),14565(a,1,2,1))]. 14567 (x * y) \ ((a(z,u,u) * x) * y) = a(R(T(z,x * y),x,y),u,u). [para(2197(a,1),14566(a,1,2,1,1))]. 14568 a(R(T(x,y * z),y,z),u,u) = R(T(a(x,u,u),y * z),y,z). [hyper(964,a,14567,a),flip(a)]. 14569 a(R(T(x,y * z),y,z),u,u) = R(a(x,u,u),y,z). [para(13065(a,1),14568(a,2,1))]. 14571 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(7719(a,1),14443(a,1,2)),flip(a)]. 14572 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(104(a,1),14571(a,2,2,1))]. 14573 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [hyper(13432,a,14572,a)]. 14575 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),14573(a,1,2,1)),flip(a)]. 14576 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),14575(a,1,2,2,1,2))]. 14577 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(65,a,12368,a(flip),b,14576,a)]. 14578 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(4811(a,1),14577(a,2,2,2))]. 14579 K(x,L(T(y,z) \ u,(y * z) / y,z \ y)) = K(x,((z \ y) \ T(y,z)) \ ((z \ y) \ u)). [para(1143(a,2),14524(a,1,2,1,1))]. 14580 K(((x \ y) * x) \ z,T(u,T(x * y,x))) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). [para(13593(a,1),14456(a,1,2))]. 14581 K(((x \ y) * x) \ z,T(u,y * x)) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). [para(10970(a,1),14580(a,1,2))]. 14582 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(14247(a,1),14557(a,1,1,1))]. 14583 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14556,a,14582,a),flip(a)]. 14584 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6010(a,2),14564(a,1,2))]. 14585 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(290,a,13360,a(flip),b,14584,a),flip(a)]. 14586 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7476(a,1),14584(a,1,2,1,2))]. 14587 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7660(a,1),14584(a,1,2,1,2))]. 14588 x \ T(y * T(x,K(z,u * w)),K(z,u \ w)) = T(y,K(u \ w,z) * x). [para(13320(a,1),14584(a,1,2,1,2))]. 14589 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13365(a,1),14584(a,1,2,1,2))]. 14590 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(12(a,1),14585(a,1,2,1)),flip(a)]. 14591 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7476(a,1),14586(a,1,2))]. 14592 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13365(a,1),14589(a,1,2)),flip(a)]. 14593 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(290,a,22,a,b,14592,a),flip(a)]. 14596 T(x,y / T(z,K(u,w))) = T(x,y / z). [hyper(13438,a,14593,a)]. 14597 T(x,K(y,K(z,u)) * w) = T(x,w). [para(4837(a,1),14593(a,1,2)),flip(a)]. 14598 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [para(4889(a,1),14593(a,1,2))]. 14599 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(13437,a,14597,a)]. 14600 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(120,a,14597,a(flip),b,4471,a(flip)),flip(a)]. 14601 K(K(x,K(y,z)) * u,w) = w / T(w,u). [para(14597(a,1),4408(a,2,2))]. 14602 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(7138(a,1),14597(a,1,2))]. 14603 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7152(a,1),14597(a,1,2))]. 14604 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(8006(a,1),14597(a,1,2))]. 14606 x \ T(y * T(x,K(z,u)),K(z,T(u,w))) = T(y,K(T(u,w),z) * x). [para(14602(a,1),14584(a,1,2,1,2))]. 14607 T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)). [para(7914(a,1),14596(a,1,2,2))]. 14608 T(x,(K(y,z) * (u / z)) \ w) = T(x,(u / T(z,y)) \ w). [para(7677(a,1),14598(a,1,2,1))]. 14609 T(x,(K(y,z) * (u \ y)) \ w) = T(x,(u \ T(y,z)) \ w). [para(13125(a,1),14598(a,1,2,1))]. 14611 T(x,y * ((1 / z) * K(u,w))) = T(x,y * (K(u,w) / z)). [para(12940(a,1),14599(a,1,2,2))]. 14613 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(290,a,4412,a,b,14600,a),flip(a)]. 14614 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(14600(a,2),4544(a,1))]. 14615 K(x,K(y,K(z,u)) \ w) = K(x,w). [para(10(a,1),14613(a,1,2)),flip(a)]. 14616 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(4492(a,1),14613(a,1,2))]. 14617 K(x,K(K(y,z),u) * w) = K(x,w). [para(4837(a,1),14613(a,1,2)),flip(a)]. 14618 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5225(a,1),14613(a,1,2))]. 14620 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(7152(a,1),14613(a,1,2))]. 14621 K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(10630(a,1),14613(a,1,2))]. 14622 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(13447(a,1),14613(a,1,2))]. 14623 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(13446(a,1),14613(a,1,2))]. 14624 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(9093(a,1),14617(a,1,2)),flip(a)]. 14625 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(290,a,4408,a,b,14601,a),flip(a)]. 14626 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(14601(a,2),4510(a,1))]. 14627 (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) * u,w). [para(14625(a,1),4471(a,2,2)),flip(a)]. 14628 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(5226(a,1),14625(a,1,1))]. 14629 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(7152(a,1),14625(a,1,1))]. 14631 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(13447(a,1),14625(a,1,1))]. 14632 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(290,a,13320,a(flip),b,14604,a),flip(a)]. 14633 K(x,(K(y,z) / u) * w) = K(x,(u \ K(y,z)) * w). [hyper(65,a,12329,a(flip),b,14616,a),flip(a)]. 14634 K(x,(y * (z * K(y,u))) * w) = K(x,(T(y,u) * z) * w). [para(7797(a,1),14616(a,1,2,1)),flip(a)]. 14635 K(x,T(y,z / u) * w) = K(x,T(y,u \ z) * w). [para(8324(a,1),14616(a,1,2,1)),flip(a)]. 14636 K(x,T(y,z * u) * w) = K(x,T(y,u * z) * w). [para(10997(a,1),14616(a,1,2,1))]. 14637 K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,u)). [para(7914(a,1),14618(a,1,2,2))]. 14639 K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). [hyper(12401,a,14622,a),flip(a)]. 14640 K(x * T(y,T(z,u)),w) = K(x * T(y,z),w). [para(7914(a,1),14628(a,1,1,2))]. 14641 K(x / (K(y,z) * u),w) = K(x / (u * K(y,z)),w). [para(6731(a,1),14631(a,1,1,2))]. 14642 K(x / (K(y,z) * (u * y)),w) = K(x / (u * T(y,z)),w). [para(6768(a,1),14631(a,1,1,2))]. 14643 T(T(x,K(y,z * u)),(u / z) * y) = T(x,y * (u / z)). [para(14632(a,1),10973(a,1,1))]. 14644 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). [para(14632(a,1),11000(a,1,1))]. 14645 K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. [para(4492(a,1),14614(a,1,2))]. 14646 K(x,K(K(y,z),u) * w) != v5 | K(x,w) = v5. [para(5311(a,2),14614(a,1,2,1))]. 14647 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5226(a,1),14614(a,1,2))]. 14648 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(5471(a,1),14614(a,1,2))]. 14649 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7234(a,1),14614(a,1,2))]. 14650 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(7456(a,1),14614(a,1,2))]. 14651 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(10630(a,1),14614(a,1,2))]. 14652 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(10640(a,1),14614(a,1,2))]. 14653 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(13447(a,1),14614(a,1,2))]. 14654 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(10630(a,1),14626(a,1,1))]. 14655 K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. [para(10640(a,1),14626(a,1,1))]. 14656 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(13447(a,1),14626(a,1,1))]. 14657 K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. [para(13446(a,1),14626(a,1,1))]. 14658 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(6561(a,1),14649(a,1,2))]. 14659 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(7712(a,1),14649(a,1,2))]. 14660 T(x,K(y / z,u) * w) = T(x,K(z \ y,u) * w). [para(7105(a,1),14603(a,1,2,1)),flip(a)]. 14661 T(x,K(y * z,u) * w) = T(x,K(z * y,u) * w). [para(11008(a,1),14603(a,1,2,1))]. 14662 T(x,T(y,z) / T(u,y)) = T(x,u \ T(y,z)). [hyper(65,a,12287,a(flip),b,14607,a),flip(a)]. 14663 K(x,K(y / z,u) * w) = K(x,K(z \ y,u) * w). [para(7105(a,1),14620(a,1,2,1)),flip(a)]. 14664 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(89(a,1),14623(a,1,2,2)),flip(a)]. 14665 K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). [para(5216(a,1),14623(a,1,2,2))]. 14666 K(x,y * (z / T(u,K(w,v5)))) = K(x,y * (z / u)). [para(5729(a,1),14623(a,1,2,2)),flip(a)]. 14668 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(11660(a,1),14623(a,1,2,2))]. 14669 K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). [para(4726(a,1),14624(a,1,2,2)),flip(a)]. 14670 K(x,y * (T(z,T(u,w)) * v5)) = K(x,y * (T(z,u) * v5)). [para(8302(a,1),14624(a,1,2,2))]. 14673 K(x,T(y,z \ u) * w) != v5 | K(x,T(y,u / z) * w) = v5. [para(8324(a,1),14645(a,1,2,1))]. 14674 K(x,T(y,z * u) * w) != v5 | K(x,T(y,u * z) * w) = v5. [para(10997(a,1),14645(a,1,2,1))]. 14675 K(x,(y \ K(z,u)) * w) != v5 | K(x,(K(z,u) / y) * w) = v5. [para(12329(a,1),14645(a,1))]. 14677 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(6731(a,1),14647(a,1,2,2))]. 14678 K(x,y * ((z \ u) * K(w,z))) != v5 | K(x,y * (T(z,w) \ u)) = v5. [para(7681(a,1),14647(a,1,2,2))]. 14679 K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. [para(7914(a,1),14647(a,1,2,2))]. 14681 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(6811(a,1),14648(a,1,2,1))]. 14682 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(14650,a,14578,a)]. 14683 K(x,T(y,T(z,u)) \ w) != v5 | K(x,T(y,z) \ w) = v5. [para(7914(a,1),14650(a,1,2,1))]. 14684 K(x / T(y,T(z,u)),w) != v5 | K(x / T(y,z),w) = v5. [para(7914(a,1),14656(a,1,1,2))]. 14685 K(x,T(y,z \ (u * u)) * ((u * u) / z)) = K(x,(u * u) * ((1 / z) * y)). [hyper(65,a,11029,a(flip),b,14635,a),flip(a)]. 14686 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(13046,a,14639,a),flip(a)]. 14688 K(((x * K(y,z)) * u) / (u * K(y,z)),w) = K(R(x,K(y,z),u),w). [para(20(a,2),14641(a,1,1)),flip(a)]. 14690 K(x,y * (K(z,z \ u) * (w * u))) = K(x,y * (w * (z * (u / z)))). [para(10813(a,1),14664(a,2,2,2))]. 14691 K(x,y * ((K(z,u) / w) * v5)) = K(x,y * ((w \ K(z,u)) * v5)). [hyper(65,a,12462,a(flip),b,14665,a),flip(a)]. 14692 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7914(a,1),14666(a,1,2,2,2))]. 14693 K(x,y * (z / (K(u,w) * (v5 \ 1)))) = K(x,y * (z / (v5 \ K(u,w)))). [para(12850(a,1),14666(a,1,2,2,2))]. 14694 K(x,y / ((z \ 1) * (T(u,1 / z) * K(w,v5)))) = K(x,y * ((u * (1 / z)) \ K(L(v5,u,z),w))). [hyper(65,a,11757,a,b,14686,a)]. 14695 K(x,y * ((z * u) \ K(w,u))) = K(x,y / (z * T(u,w))). [para(5732(a,1),14686(a,1,2,2)),flip(a)]. 14696 K(x,y / (z * ((u * w) / u))) = K(x,y * ((z * w) \ K(w,u))). [para(5902(a,1),14686(a,1,2,2))]. 14697 K(x * (T(y,K(z,u)) * w),v5) != v6 | K(x * (y * w),v5) = v6. [para(5216(a,1),14657(a,1,1,2))]. 14698 K(x * K(y,z \ u),w) != v5 | K(x * K(y,u / z),w) = v5. [para(7671(a,1),14657(a,1,1,2))]. 14699 K(x,L(y * T(z,T(u,w)),v5,v6)) = K(L(x,v5,v6),y * T(z,u)). [hyper(14679,a,11461,a),flip(a)]. 14700 K(x,L(T(y,T(z,u)) \ w,v5,v6)) = K(L(x,v5,v6),T(y,z) \ w). [hyper(14683,a,11461,a),flip(a)]. 14701 K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). [hyper(14683,a,xx),flip(a)]. 14702 K(x,T(y / T(z,u),z)) != w | K(x,T(z,u) \ y) = w. [para(7851(a,2),14683(a,1,2))]. 14703 K(x,T(T(y,z) * u,y) \ w) != v5 | K(x,(u * T(y,z)) \ w) = v5. [para(14701(a,1),12366(a,1))]. 14704 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7463(a,2),14590(a,1,1))]. 14705 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(141,a,14591,a),flip(a)]. 14706 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(65,a,14585,a(flip),b,14591,a),flip(a)]. 14707 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(65,a,14584,a(flip),b,14591,a)]. 14708 T(x,K(y,z) \ u) = T(x,u * K(y,z)). [para(4811(a,2),14706(a,1,2))]. 14709 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(5732(a,1),14706(a,2,2))]. 14711 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(290,a,14603,a,b,14707,a)]. 14713 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(120,a,14707,a,b,4471,a(flip))]. 14714 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4492(a,1),14707(a,1,2)),flip(a)]. 14715 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(4889(a,1),14707(a,1,2)),flip(a)]. 14716 K(x * (K(y,z) * u),T(w,K(z,y) * u)) = K((K(y,z) * u) * x,w). [para(14707(a,1),11010(a,1,2))]. 14717 T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. [para(14707(a,1),13437(a,1))]. 14718 T(x,K(y,z) * K(y,z)) = x. [hyper(197,a,14708,a),flip(a)]. 14719 T(x,K(y * z,u) * K(z * y,u)) = x. [hyper(65,a,14661,a,b,14718,a)]. 14720 T(x,(y \ z) * T(z / y,y)) = T(x,(z / y) * (z / y)). [para(4764(a,1),14709(a,1,2)),flip(a)]. 14721 T(x,K(y,T(z,u)) * (y \ w)) = T(x,T(y,z) \ w). [para(4889(a,1),14711(a,2,2))]. 14722 L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). [para(14711(a,1),13556(a,2,2,1))]. 14723 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4544,a,14713,a)]. 14724 K(x,K(y,z) * u) != x \ w | T(x,K(z,y) * u) = w. [para(14713(a,1),49(a,1))]. 14725 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(14713(a,1),4544(a,1))]. 14726 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). [hyper(13429,a,14723,a),flip(a)]. 14727 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(13421,a,14723,a),flip(a)]. 14728 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(290,a,14620,a,b,14723,a)]. 14729 K(x,K(y,z) * (K(y,z) * u)) = K(x,u). [para(4837(a,1),14723(a,1,2)),flip(a)]. 14730 K(x,K(y,z) * (T(z,y) \ u)) = K(x,z \ u). [para(4726(a,1),14723(a,1,2)),flip(a)]. 14731 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(4889(a,1),14723(a,1,2)),flip(a)]. 14732 K(x,K(y * K(z,u),w) * v5) = K(x,K(w,K(z,u) * y) * v5). [para(13406(a,2),14723(a,1,2,1)),flip(a)]. 14733 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(14723(a,1),13421(a,1))]. 14734 K(x,K(y,z) * (u * z)) != w | K(x,u * T(z,y)) = w. [para(14723(a,1),13429(a,1))]. 14736 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [para(4889(a,1),14727(a,1,2)),flip(a)]. 14737 K(x,y * (K(z,u) * K(z,u))) = K(x,y). [hyper(13209,a,14729,a)]. 14738 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(4895(a,1),14714(a,1,2))]. 14739 T(x,y \ (K(y,z) * u)) = T(x,T(y,z) \ u). [para(4745(a,2),14715(a,1,2))]. 14740 K(x,(K(y,z) / u) * z) = K(x,(1 / u) * T(z,y)). [para(12953(a,1),14726(a,1,2))]. 14743 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4727(a,2),14731(a,1,2))]. 14744 K(x,(y \ z) * K(y,u * ((w \ 1) * v5))) = K(x,T(y,u * ((1 / w) * v5)) \ z). [para(4112(a,2),14736(a,2,2,1))]. 14745 K(x,(y \ z) * K(y,u * ((w \ 1) \ v5))) = K(x,T(y,u * ((1 / w) \ v5)) \ z). [para(4113(a,2),14736(a,2,2,1))]. 14746 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(215(a,1),14738(a,1,2,1)),flip(a)]. 14747 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(11073,a,14746,a),flip(a)]. 14748 T(x,T(y,z) \ (T(y,z) \ u)) = T(x,y \ (y \ u)). [para(4726(a,1),14739(a,1,2,2)),flip(a)]. 14749 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(12371,a,14743,a),flip(a)]. 14750 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(3707(a,1),14743(a,1,2,1))]. 14751 K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,y \ ((z * u) / z))) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). [para(10941(a,2),14743(a,1,2))]. 14752 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(13406(a,1),14725(a,1))]. 14753 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w * K(z,u),y) * v5) = v6. [para(13406(a,2),14725(a,1,2,1))]. 14754 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. [para(14620(a,2),14725(a,1))]. 14755 K(x,(K(y,z) / u) * z) = K(x,u \ T(z,y)). [hyper(290,a,12803,a(flip),b,14740,a),flip(a)]. 14757 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(11031,a,14747,a),flip(a)]. 14758 T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. [para(14747(a,1),11031(a,1))]. 14759 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(214(a,1),14757(a,1,2,2,1)),flip(a)]. 14760 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14759(a,1),4408(a,2,2))]. 14761 T(x,T(y,z) \ (T(y,z) \ u)) = T(T(x,u),y \ (y \ 1)). [hyper(13249,a,14748,a)]. 14762 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(290,a,4408,a,b,14760,a),flip(a)]. 14763 K(x * (y \ K(z,y \ 1)),u) = K(x * T(y \ 1,z),u). [para(4469(a,2),14762(a,1,1,2))]. 14764 K(x,a(y,z,K(u,w)) * (v5 * w)) != v6 | K(x,v5 * T(w,a(y,z,u))) = v6. [para(13049(a,2),14734(a,1,2,1))]. 14765 K(x,a(y,z,K(u,w)) * (v5 * a(w,z,u))) != v6 | K(x,v5 * T(a(w,z,u),y)) = v6. [para(13658(a,2),14734(a,1,2,1))]. 14766 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(65,a,12454,a(flip),b,14750,a),flip(a)]. 14768 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(12(a,1),14766(a,1,2,1,1)),flip(a)]. 14769 K(x,T(y,z) \ ((y / z) * u)) = K(x,y \ ((z \ y) * u)). [para(11127(a,1),14768(a,1,2)),flip(a)]. 14771 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(5803,a,14627,a),flip(a)]. 14773 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(13364(a,1),14771(a,1,1))]. 14774 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(290,a,13364,a(flip),b,14773,a),flip(a)]. 14776 T(K(x,L(y,z,u)) * K(w,K(v5,v6)),v7) = K(x,L(T(y,v7),z,u)) * K(w,K(v5,v6)). [para(7144(a,2),14774(a,2,1))]. 14777 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(14774(a,2),7445(a,1,1))]. 14779 K(x * ((y * z) \ K(u,z)),w) = K(x / (y * T(z,u)),w). [hyper(13043,a,14642,a)]. 14781 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(7737,a,14682,a)]. 14782 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(14705(a,2),307(a,1,2))]. 14784 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13360(a,1),14705(a,2,2))]. 14785 T(x,(y / z) * (y / z)) = T(x,(z \ y) * (z \ y)). [para(106(a,1),14720(a,1,2,2)),flip(a)]. 14786 T(((x / y) * z) / (x / y),y / x) = T(z,(x \ y) * (x \ y)). [hyper(65,a,5692,a,b,14785,a)]. 14787 T(x,T(y / z,u) \ (y / T(z \ y,u))) = T(T(x,y),(y / z) \ ((y / z) \ 1)). [para(7057(a,2),14761(a,1,2,2))]. 14788 T(x,T(y,z) \ (T(y,z) \ u)) != w | T(x,y \ (y \ u)) = w. [para(14761(a,2),13249(a,1))]. 14789 K(x,T(y * (y * z),y) \ ((T(y,y * z) * z) * u)) = K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)). [para(3468(a,1),14769(a,1,2,2,1))]. 14790 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(14648,a,14781,a),flip(a)]. 14792 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(290,a,7531,a(flip),b,14790,a),flip(a)]. 14793 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(14790(a,2),7601(a,1))]. 14794 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13435,a,14792,a)]. 14796 T(K(x,y),K(z,u) * w) = K(x,T(y,w)). [hyper(7817,a,14792,a)]. 14799 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(65,a,13348,a,b,14792,a)]. 14800 K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). [hyper(65,a,13284,a,b,14792,a)]. 14801 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(5226(a,1),14792(a,1,2,2))]. 14803 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(14792(a,1),7145(a,1,2))]. 14804 K(x \ (K(y,z) * u),T(w,u)) != v5 | K((K(y,z) * u) / x,w) = v5. [para(14792(a,1),7638(a,1))]. 14805 K((K(x,y) * z) \ u,T(w,z)) != v5 | K(u / (K(x,y) * z),w) = v5. [para(14792(a,1),7641(a,1))]. 14807 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(9093(a,1),14792(a,1,2,2)),flip(a)]. 14809 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (x * K(y,z)),w) = v5. [para(14792(a,1),13298(a,1))]. 14810 K(x * (y * K(z,u)),T(w,y)) = K((y * K(z,u)) * x,w). [hyper(11013,a,14794,a),flip(a)]. 14811 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5932(a,1),14794(a,1,2,2))]. 14814 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(14794(a,1),7511(a,1,1))]. 14816 (K(x,y) * z) \ (z * (x \ R(x,y,x))) = K(x * y,T(x,z)). [hyper(10276,a,14796,a)]. 14818 (T(x,y) * z) / K(y,T(x,x * z)) = (x * z) * (K(x,y) * K(x,y)). [para(14796(a,1),14186(a,1,2))]. 14819 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(14799(a,1),4471(a,2,2))]. 14820 K((x \ K(y,z)) * u,T(w,x)) != v5 | K(u * (x \ K(y,z)),w) = v5. [para(14800(a,1),11022(a,1))]. 14821 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(14800(a,1),13349(a,1,1))]. 14822 K(x,T(y,z * L(T(u,w),v5,v6))) = K(x,T(y,z * L(u,v5,v6))). [para(25(a,2),14801(a,1,2,2,2))]. 14824 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(290,a,4471,a,b,14819,a),flip(a)]. 14825 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(14824(a,1),13548(a,1,2)),flip(a)]. 14826 K(x,T(y,T(z,u) * w)) != v5 | K(x,T(y,z * w)) = v5. [para(4492(a,1),14793(a,1,2,2))]. 14829 K(x,T(y,z * ((u / w) \ v5))) = K(x,T(y,z * ((w \ u) \ v5))). [para(5052(a,1),14807(a,1,2,2,2))]. 14830 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7826,a,14811,a)]. 14831 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(290,a,14583,a,b,14811,a)]. 14833 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [hyper(7489,a,14784,a)]. 14835 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(229,a,14814,a(flip),b,8278,a),flip(a)]. 14837 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(4784(a,1),14814(a,1,1))]. 14838 K(x,T(y,z)) / (z * K(u,w)) = (K(w,u) / z) * K(x,y). [hyper(13029,a,14821,a)]. 14839 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(13028,a,14821,a)]. 14840 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(65,a,13082,a,b,14839,a)]. 14841 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(290,a,13548,a(flip),b,14825,a),flip(a)]. 14842 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(13495,a,14841,a)]. 14843 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8081,a,14841,a)]. 14844 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(11(a,1),14841(a,1,2,2)),flip(a)]. 14846 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6749(a,1),14841(a,1,2,2)),flip(a)]. 14850 T(x,K(y,K(z,u) * w)) = x * K(x,K(y,w)). [para(14842(a,1),4471(a,2,2))]. 14851 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4442(a,1),14842(a,1,2,2)),flip(a)]. 14852 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(4895(a,1),14842(a,1,2,2))]. 14853 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(4764(a,1),14842(a,1,2,2))]. 14855 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(9093(a,1),14842(a,1,2,2)),flip(a)]. 14856 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10912(a,1),14842(a,1,2,2))]. 14857 K(x,K(y,z)) * K(x,(K(u,w) * z) * y) = K(x,y * (K(u,w) * z)). [para(14842(a,1),13922(a,1,1))]. 14858 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(290,a,7429,a,b,14843,a),flip(a)]. 14859 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(5931(a,2),14844(a,1,2,2))]. 14860 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(5733(a,1),14844(a,1,2,2)),flip(a)]. 14861 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5932(a,1),14844(a,1,2,2))]. 14862 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6892(a,1),14844(a,1,2,2)),flip(a)]. 14863 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10732(a,1),14844(a,1,2,2))]. 14865 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8200,a,14858,a)]. 14866 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8063,a,14858,a),flip(a)]. 14867 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7462,a,14858,a)]. 14868 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(65,a,13483,a,b,14858,a)]. 14869 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(14858(a,1),8063(a,1))]. 14870 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8130,a,14866,a)]. 14871 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1716(a,1),14866(a,1,2,1))]. 14872 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(290,a,14866,a,b,14867,a),flip(a)]. 14873 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(236(a,1),14846(a,1,2,2,2)),flip(a)]. 14874 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(290,a,4471,a,b,14850,a),flip(a)]. 14875 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [para(7234(a,1),14874(a,1,2,2))]. 14876 T(T(x,K(y,z)),y * (z \ K(u,w))) = T(x,(z \ K(u,w)) * y). [para(14875(a,1),13322(a,1,1))]. 14877 x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). [para(14875(a,1),14584(a,1,2,1,2))]. 14878 T(T(x,K(y,z)),(K(u,w) / z) * y) = T(x,y * (K(u,w) / z)). [para(14875(a,1),14643(a,1,1))]. 14879 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [hyper(13516,a,14851,a)]. 14881 K(x,K(y,z * u)) * K(x,y \ (T(z,w) * u)) != v5 | K(x,(T(z,w) * u) / y) = v5. [para(14851(a,1),8007(a,1,1))]. 14882 K(x,K(y,T(z,u) * w)) != v5 | K(x,K(y,z \ w)) = v5. [para(14851(a,2),13317(a,1))]. 14883 K(x,(y / T(z,u)) * w) * K(x,K(w,z * y)) = K(x,w * (y / T(z,u))). [para(14851(a,1),13928(a,1,2))]. 14884 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(65,a,13580,a(flip),b,14871,a),flip(a)]. 14885 K(x,K(y,(z / u) * w)) = K(x,K(y,w * (u \ z))). [para(106(a,1),14879(a,1,2,2,2)),flip(a)]. 14886 K(x,K(y,z * u)) * K(x,y / (u * T(z,w))) = K(x,(u * T(z,w)) \ y). [para(14879(a,1),8015(a,1,1))]. 14887 K(x,K(y,z * u)) * K(x,y / (u * ((z \ w) \ w))) = K(x,(u * ((z \ w) \ w)) \ y). [para(14879(a,1),12332(a,1,1))]. 14888 K(x,K(y,z * u)) != w | K(x,K(y,T(z,v5) * u)) = w. [para(14879(a,1),13516(a,1))]. 14889 K(x,K(y,z * u)) * K(x,y * (T(z,w) \ u)) = K(x,(T(z,w) \ u) * y). [para(14879(a,1),13903(a,1,1))]. 14891 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13499,a,14855,a)]. 14894 K(x,K(y,z * (u \ w))) * K(y,x / (z * (w / u))) = K(y,(z * (w / u)) \ x). [para(14860(a,1),8014(a,1,1))]. 14895 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(14861(a,2),8120(a,1,1))]. 14897 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1716(a,1),14862(a,1,2,2,1))]. 14898 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5216(a,1),14862(a,1,2,2,1))]. 14899 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(5987(a,1),14862(a,1,2,2,1))]. 14900 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(14862(a,2),13516(a,1))]. 14901 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8081,a,14863,a)]. 14903 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(65,a,8243,a(flip),b,14872,a),flip(a)]. 14905 K(x,K((y / z) \ 1,u * (w \ v5))) = K(x,K(z / y,(v5 / w) * u)). [para(5195(a,1),14885(a,1,2)),flip(a)]. 14907 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(290,a,8039,a,b,14901,a)]. 14908 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(14901(a,1),8081(a,1))]. 14909 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(14901(a,2),8081(a,1))]. 14910 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(290,a,13578,a(flip),b,14907,a),flip(a)]. 14911 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(969(a,1),14907(a,1,2,2)),flip(a)]. 14912 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(14907(a,1),8081(a,1))]. 14913 K(x,K(y,T(z,u) \ w)) != v5 | K(x,K(y,z \ w)) = v5. [para(13306(a,2),14882(a,1))]. 14914 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7438,a,14835,a),flip(a)]. 14916 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5695,a,14914,a),flip(a)]. 14917 T((x \ 1) * K(y,z),K(u,w)) = T(x,K(u,w)) \ K(y,z). [hyper(13025,a,14914,a(flip)),flip(a)]. 14923 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(290,a,8123,a,b,14865,a),flip(a)]. 14925 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7102(a,1),14870(a,1,2,2,1))]. 14926 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(290,a,13494,a(flip),b,14891,a),flip(a)]. 14927 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8081,a,14926,a)]. 14929 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5226(a,1),14926(a,1,2,2,1))]. 14930 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6277(a,1),14927(a,1,2,2,2))]. 14931 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7555(a,1),14927(a,1,2,2,2)),flip(a)]. 14933 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(14931(a,1),13535(a,1,1))]. 14934 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(236(a,1),14897(a,1,2,2,1,1)),flip(a)]. 14935 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(13516,a,14898,a)]. 14936 T(x \ K(y,z),K(u,w)) = T(x,K(u,w)) \ K(y,z). [para(12808(a,1),14917(a,1,1))]. 14937 T(x \ K(y,z),K(y,z)) = (x * K(z,y)) \ 1. [hyper(290,a,12866,a(flip),b,14936,a),flip(a)]. 14938 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(12851,a,14937,a),flip(a)]. 14942 K((K(x,y) * (z \ 1)) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. [para(14938(a,1),13018(a,1,1,1))]. 14943 K(x,(K(y,z) * (u \ 1)) * w) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(14938(a,1),13039(a,1,2,1))]. 14944 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(65,a,14901,a(flip),b,14929,a)]. 14945 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(106(a,1),14944(a,1,2,2,2,1)),flip(a)]. 14946 K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. [para(4734(a,1),14658(a,1,2,2))]. 14947 K(x * (T(T(y,K(z,u)),w) * v5),v6) != v7 | K(x * (T(y,w) * v5),v6) = v7. [para(23(a,1),14697(a,1,1,2,1))]. 14948 K(x * y,T(x,z)) / ((z * (x \ R(x,y,x))) / K(x * y,x)) = ((z * (x \ R(x,y,x))) / (K(x,y) * z)) / (K(x,y) * z). [para(14816(a,1),10277(a,1,1))]. 14950 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(65,a,14021,a(flip),b,14884,a)]. 14951 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(7493(a,1),14884(a,1,2,1))]. 14952 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(5218(a,1),14900(a,1,2,2,1))]. 14953 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(5724(a,1),14900(a,1,2,2))]. 14954 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6735(a,1),14900(a,1,2,2,1))]. 14955 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13472(a,1),14900(a,1))]. 14956 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(89(a,1),14955(a,1,2,2,2))]. 14957 K(x,K(y,z * (u / w))) != v5 | K(x,K(y,z * (w \ u))) = v5. [para(4488(a,1),14955(a,1,2,2,2))]. 14958 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(9967(a,1),14955(a,1,2,2,2))]. 14960 K(x,y * ((K(z,u) / w) * a(w \ K(z,u),v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). [para(2198(a,1),14691(a,2,2,2))]. 14961 K(x,L(y * T(z,T(u,w)),v5,v6)) != v7 | K(x,L(y * T(z,u),v5,v6)) = v7. [para(14699(a,2),11478(a,1))]. 14962 K(x,L(T(y,T(z,u)) \ w,v5,v6)) != v7 | K(x,L(T(y,z) \ w,v5,v6)) = v7. [para(14700(a,2),11478(a,1))]. 14963 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(4622(a,2),14704(a,1,1,1))]. 14964 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(7607(a,1),14749(a,1,2,2))]. 14966 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(14964(a,1),12371(a,1))]. 14967 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13442(a,1),14777(a,1,1,1))]. 14968 T(x,(y / z) \ ((y / z) \ 1)) = T(x,(y \ z) * (y \ z)). [hyper(65,a,8643,a(flip),b,14786,a)]. 14970 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(13115,a,14837,a),flip(a)]. 14972 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(65,a,14840,a(flip),b,14970,a),flip(a)]. 14973 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(14972(a,2),8802(a,2,2))]. 14974 T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,(y \ K(u,w)) * z). [para(7476(a,1),14876(a,1,1))]. 14975 T(T(x,K(y,z)),z * (K(u,w) / y)) = T(x,(K(u,w) / y) * z). [para(5319(a,1),14878(a,1,1)),flip(a)]. 14976 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(890(a,1),14899(a,1,2,2,1,1)),flip(a)]. 14977 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(290,a,8039,a,b,14930,a),flip(a)]. 14978 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(13516,a,14934,a)]. 14979 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(14908,a,14977,a)]. 14980 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(78(a,1),14978(a,1,2,2,2,1,2)),flip(a)]. 14981 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(14978(a,1),13516(a,1))]. 14983 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(14979(a,2),14908(a,1))]. 14985 K(((x * K(y,z)) * u) / (u * K(y,z)),w) != v5 | K(L(x,K(y,z),u),w) = v5. [para(14688(a,2),14382(a,1))]. 14986 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(14584(a,1),14782(a,1))]. 14987 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(14603(a,2),14986(a,1))]. 14988 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(14591(a,2),14986(a,1))]. 14990 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(7162(a,2),14987(a,1,2,1))]. 14991 T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. [para(13360(a,1),14987(a,1))]. 14992 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13500,a,14868,a)]. 14994 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(65,a,14396,a(flip),b,14992,a),flip(a)]. 14995 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7462,a,14994,a)]. 14996 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(65,a,13502,a(flip),b,14995,a),flip(a)]. 14997 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(81(a,1),14996(a,1,2,2,1,2))]. 14998 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(65,a,11272,a(flip),b,14997,a),flip(a)]. 14999 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(65,a,14873,a(flip),b,14998,a),flip(a)]. 15000 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7413,a,14999,a)]. 15001 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(290,a,7411,a,b,15000,a),flip(a)]. 15002 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7660(a,1),14587(a,1,2))]. 15003 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(14782,a,15002,a),flip(a)]. 15004 T(x,y * K(z * u,u)) = T(x,K(z,u) * y). [hyper(13377,a,15003,a)]. 15005 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [hyper(65,a,14661,a,b,15003,a)]. 15006 T(x,K(y * (y \ z),y \ z) * (u * (y \ z))) = T(x,T(u * (z / y),K(y,z))). [para(8733(a,1),15003(a,2,2))]. 15007 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(14986,a,15005,a)]. 15008 K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). [hyper(120,a,15005,a(flip),b,4471,a(flip)),flip(a)]. 15009 K(K(x * y,x) * z,u) = u / T(u,K(y,x) * z). [para(15005(a,1),4408(a,2,2))]. 15010 T(x,T(y,y * z) \ u) = T(x,K(z,y) * (y \ u)). [para(4889(a,1),15005(a,1,2))]. 15011 T(x,K(y * z,y) * u) != w | T(x,u * K(z,y)) = w. [para(15005(a,2),13377(a,1))]. 15012 T(x,K(y,z) * (u * (z * y))) != w | T(x,u * T(z * y,z)) = w. [para(15005(a,1),13437(a,1))]. 15013 T(x,K(y,z) * u) != w | T(x,K(z * y,z) * u) = w. [para(15007(a,1),14986(a,1))]. 15014 K(x,K(y * z,y) * u) = K(x,K(z,y) * u). [hyper(290,a,4412,a,b,15008,a),flip(a)]. 15015 K(x,K(y * z,y) * u) != w | K(x,K(z,y) * u) = w. [para(15008(a,2),4544(a,1))]. 15016 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(10(a,1),15014(a,1,2,1,1)),flip(a)]. 15017 K(x,K(y * z,y) * u) != w | K(x,u * K(z,y)) = w. [para(15014(a,2),13421(a,1))]. 15018 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(14725,a,15016,a)]. 15019 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(290,a,4412,a(flip),b,15016,a),flip(a)]. 15020 K(x,K(y,z) * ((z \ y) \ u)) = K(x,(y / z) \ u). [para(5052(a,1),15016(a,1,2)),flip(a)]. 15021 K(x,K(y,z) * T(u,K(z,z \ y))) = K(x,u * K(z,z \ y)). [para(104(a,1),15018(a,1,2)),flip(a)]. 15022 K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. [para(15018(a,2),14725(a,1))]. 15023 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [hyper(290,a,4408,a,b,15009,a),flip(a)]. 15024 K(K(x \ y,x) * z,u) = K(K(y,x) * z,u). [para(10(a,1),15023(a,1,1,1,1)),flip(a)]. 15025 K(x * K(y \ z,y),u) = K(K(z,y) * x,u). [hyper(13419,a,15024,a)]. 15026 K((x * (y / x)) \ z,u) = K(K(y,x) * (y \ z),u). [para(10646(a,1),15024(a,1,1))]. 15027 K(K(x,y) * (x * z),u) = K(((y \ x) * y) * z,u). [para(10916(a,1),15024(a,1,1)),flip(a)]. 15028 T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u). [para(4889(a,1),15010(a,2,2))]. 15029 T(x,K(y,y \ z) * u) = T(x,K(z,y) * u). [hyper(14724,a,15019,a)]. 15030 T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). [hyper(13377,a,15029,a)]. 15031 T(x,K(y,z) * ((y / z) \ u)) = T(x,(z \ y) \ u). [para(5275(a,1),15029(a,1,2)),flip(a)]. 15033 K(((x \ y) * x) * z,u) = K(T(y,x) * z,u). [para(4492(a,1),15027(a,1,1)),flip(a)]. 15034 K(((x \ y) * x) / z,u) = K(T(y,x) * (z \ 1),u). [hyper(13041,a,15033,a)]. 15035 T(x,K(y,z) * ((T(z,u) / y) \ w)) = T(x,(y \ T(z,u)) \ w). [hyper(14990,a,15031,a)]. 15036 K(((x \ y) * x) / z,u) = K(T(y,x) / z,u). [hyper(290,a,13009,a(flip),b,15034,a),flip(a)]. 15038 K(x,K(y * z,z) * u) != w | K(x,K(y,z) * u) = w. [para(5094(a,2),15015(a,1,2,1))]. 15039 K(x,y * K(z,z * u)) != w | K(x,y * K(u,z)) = w. [para(14727(a,1),15017(a,1))]. 15040 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,z \ y)). [para(7662(a,1),15021(a,1,2,2))]. 15041 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [para(7485(a,1),15040(a,1,2)),flip(a)]. 15042 K(x,y * K(z * u,u)) = K(x,y * K(u,z)). [para(4585(a,1),15041(a,1,2,2)),flip(a)]. 15043 x \ T(y * x,K(z,T(u * u,w))) = T(y,K(T(u * u,w),z) * x). [para(13197(a,1),14606(a,1,2,1,2))]. 15044 K(x,y * (z / ((u \ 1) \ K(u * 1,w)))) = K(x,y * (z / T((u \ 1) \ 1,w))). [para(12877(a,1),14693(a,1,2,2,2)),flip(a)]. 15045 (T(x,y) * z) / K(y,T(x,z)) = (x * z) * (K(x,y) * K(x,y)). [para(7112(a,1),14818(a,1,2))]. 15047 (T(x,y) * z) * K(x,T(y,z)) = (x * z) * (K(x,y) * K(x,y)). [hyper(7204,a,15045,a)]. 15048 T(x,y) * (z * K(x,T(y,z))) = (x * z) * (K(x,y) * K(x,y)). [hyper(9973,a,15047,a)]. 15049 (x * y) * (K(x,z) * K(x,z)) = T(x,z) * (K(x,z) * y). [hyper(65,a,7111,a(flip),b,15048,a),flip(a)]. 15050 (x * y) * (K(x,z) * K(x,z)) = K(x,z) * (T(x,z) * y). [hyper(290,a,4809,a,b,15049,a),flip(a)]. 15051 (x * y) * (K(x,z) * K(x,z)) = T(T(x,z),z) * y. [hyper(290,a,4808,a(flip),b,15050,a),flip(a)]. 15052 x * (y * (K(x,z) * K(x,z))) = T(T(x,z),z) * y. [hyper(861,a,15051,a)]. 15053 K(x,K(y * K(z,u),w)) * K(x,(K(u,z) * w) * (y * K(z,u))) = K(x,(y * K(u,z)) * (K(z,u) * w)). [para(14120(a,1),14857(a,2,2))]. 15054 T(x,K(T(y * y,z),u) * w) = w \ T(x * w,K(u,y * y)). [para(13199(a,1),15043(a,1,2,2)),flip(a)]. 15055 T(x,K(T(y * y,z),u) * w) = w \ (x * w). [para(13197(a,1),15054(a,2,2))]. 15057 T(x,K(T(y * y,z),u) * w) = T(x,w). [hyper(290,a,22,a,b,15055,a),flip(a)]. 15059 T(x,K(y,z * z) * u) = T(x,u). [hyper(14990,a,15057,a)]. 15060 T(x,y * T(z,u * u)) = T(x,y * z). [hyper(13437,a,15059,a)]. 15061 T(x,T(y,z * z) * u) = T(x,y * u). [para(4492(a,1),15059(a,1,2))]. 15062 T(x,T(y,z * u) * (z * T(u,z * z))) = T(x,((z \ 1) * u) * ((z * z) * y)). [para(15060(a,1),11041(a,1,2,1))]. 15063 T(x,T(y * (z * z),z)) = T(x,(z * y) * z). [hyper(13006,a,15061,a)]. 15064 T(x,((y * y) / z) * u) = T(x,(z \ (y * y)) * u). [hyper(65,a,12345,a(flip),b,15061,a),flip(a)]. 15065 T(x,T(y * (z * z),z)) = T(x,z * (y * z)). [hyper(290,a,12281,a(flip),b,15063,a),flip(a)]. 15066 T(x,(y \ (z * z)) * u) = T(x,z * (z * (y \ u))). [hyper(65,a,13216,a(flip),b,15064,a),flip(a)]. 15067 T(x,y \ ((z * z) * u)) = T(x,z * (z * (y \ u))). [hyper(13044,a,15066,a)]. 15068 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4554(a,1),14983(a,1,2,2,2,2))]. 15069 x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(u \ w,z) * x). [para(13320(a,1),14588(a,1,2))]. 15070 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(290,a,14923,a(flip),b,14903,a),flip(a)]. 15072 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(290,a,7467,a(flip),b,15070,a),flip(a)]. 15073 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(14869,a,15072,a)]. 15075 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13539,a,14933,a),flip(a)]. 15076 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6735(a,1),15075(a,1,2,2,1))]. 15077 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8109,a,15076,a)]. 15078 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(290,a,9971,a(flip),b,15077,a),flip(a)]. 15079 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(106(a,1),15077(a,1,2,2,2,2)),flip(a)]. 15080 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15077(a,1),4645(a,1,1)),flip(a)]. 15081 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(290,a,14831,a(flip),b,15079,a),flip(a)]. 15082 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13524,a,15081,a),flip(a)]. 15083 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6741,a,14967,a),flip(a)]. 15084 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(14988,a,15069,a),flip(a)]. 15085 T(x,K(y \ z,u) * w) != v5 | T(x,K(y * z,u) * w) = v5. [para(15069(a,1),14988(a,1))]. 15086 T(x,K(y * z,u) * (w * u)) = T(x,w * T(u,y \ z)). [hyper(14717,a,15084,a),flip(a)]. 15087 T(x,K(y * z,u) * (1 / w)) = T(x,K(y \ z,u) / w). [hyper(12994,a,15084,a),flip(a)]. 15088 T(x,K(y / z,u) * w) = T(x,K(z * y,u) * w). [hyper(65,a,14660,a,b,15084,a)]. 15089 x \ T(x,K(y * z,u) * w) = K(x,K(y \ z,u) * w). [hyper(120,a,15084,a(flip),b,4471,a(flip))]. 15090 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(8(a,1),15084(a,2,2,1,1))]. 15091 x / T(x,K(y * z,u) * w) = K(K(y \ z,u) * w,x). [para(15084(a,1),4408(a,2,2)),flip(a)]. 15092 T(x,K(y * z,u) * (u \ w)) = T(x,T(u,y \ z) \ w). [para(4889(a,1),15084(a,1,2)),flip(a)]. 15093 T(x,K(y * z,u) * T(w,K(u,y \ z))) = T(x,w * K(y \ z,u)). [para(7485(a,1),15084(a,1,2)),flip(a)]. 15094 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(65,a,14660,a,b,15090,a)]. 15095 T(x,K(y,z) * (u * (1 / y))) != w | T(x,u * T(1 / y,z)) = w. [para(15094(a,1),13437(a,1))]. 15096 T(x,y * T(z,u \ w)) = T(x,y * T(z,u * w)). [hyper(14717,a,15086,a),flip(a)]. 15097 x \ T(x,y * T(z,u * w)) = K(x,y * T(z,u \ w)). [hyper(120,a,15096,a(flip),b,4471,a(flip))]. 15098 x / T(x,y * T(z,u * w)) = K(y * T(z,u \ w),x). [para(15096(a,1),4408(a,2,2)),flip(a)]. 15099 T(x,(y / z) * T(z,u * w)) = T(x,y * K(z,u \ w)). [para(5731(a,1),15096(a,1,2)),flip(a)]. 15100 T(x,K(y * z,u) * (1 / w)) = T(x,w \ K(y \ z,u)). [hyper(290,a,13361,a(flip),b,15087,a),flip(a)]. 15101 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(4544,a,15089,a),flip(a)]. 15102 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(15089(a,1),4544(a,1))]. 15103 K(x,K(y * z,u) * w) = K(x,K(u,y \ z) * w). [hyper(14725,a,15101,a),flip(a)]. 15104 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(8(a,1),15101(a,2,2,1,1))]. 15105 K(x,K(y * z,u) * (u \ w)) = K(x,T(u,y \ z) \ w). [para(4889(a,1),15101(a,1,2)),flip(a)]. 15106 K(x,K(y * z,u) * w) != v5 | K(x,K(u,y \ z) * w) = v5. [para(15101(a,1),14725(a,1))]. 15107 K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). [hyper(13421,a,15104,a)]. 15108 K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. [para(15107(a,2),13421(a,1))]. 15110 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,z * u) * w) = v5. [para(15103(a,1),14725(a,1))]. 15112 K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. [para(15091(a,1),4510(a,1))]. 15113 T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w). [para(4889(a,1),15092(a,1,2)),flip(a)]. 15114 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(4544,a,15097,a),flip(a)]. 15115 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. [para(15097(a,1),4544(a,1))]. 15116 K(x,(y \ 1) * T(z,u * w)) = K(x,y \ T(z,u \ w)). [hyper(13039,a,15114,a),flip(a)]. 15117 K(L(x,y,z),u * T(w,v5 * v6)) = K(x,L(u * T(w,v5 \ v6),y,z)). [hyper(11478,a,15114,a),flip(a)]. 15118 K(x,((y * y) \ T(z,u \ w)) * y) = K(x,(K(T(z,u \ w),y) / y) * T(z,u * w)). [hyper(65,a,13079,a,b,15114,a)]. 15119 K(x,y * T(z,u * u)) = K(x,y * z). [para(195(a,1),15114(a,1,2,2)),flip(a)]. 15120 K(x,(y \ z) * T(u,y * z)) = K(x,u * (y \ z)). [para(104(a,1),15114(a,1,2)),flip(a)]. 15121 K(x,y * ((z * z) * u)) = K(x,y * (u * (z * z))). [hyper(65,a,12446,a(flip),b,15119,a),flip(a)]. 15122 K(x,y * ((z * z) / u)) = K(x,y * (u \ (z * z))). [hyper(65,a,12331,a(flip),b,15119,a),flip(a)]. 15123 K(x,y * (z / (u * u))) = K(x,y * ((u * u) \ z)). [para(106(a,1),15119(a,1,2,2)),flip(a)]. 15124 K(x,y * ((z * z) * (u \ 1))) = K(x,y * (u \ (z * z))). [para(405(a,1),15121(a,2,2,2))]. 15125 K(x,T(y,z \ (u * u)) * (z \ (u * u))) = K(x,(u * u) * ((1 / z) * y)). [hyper(65,a,14685,a(flip),b,15122,a),flip(a)]. 15126 K(x,y \ (y \ (z * u))) = K(x,z * ((y * y) \ u)). [hyper(13573,a,15123,a)]. 15127 K(x,((y * y) \ z) * u) = K(x,z * ((y * y) \ u)). [hyper(65,a,13183,a,b,15123,a)]. 15128 K(x,K(y,z * ((u * u) \ w))) = K(x,K(y,z * w)). [para(15126(a,1),13307(a,1,2))]. 15129 K(x,(((y * y) \ z) * u) * w) = K(x,(z * u) * ((y * y) \ w)). [para(400(a,1),15127(a,1,2,1))]. 15130 K(x * T(y,z \ u),w) = K(x * T(y,z * u),w). [hyper(4510,a,15098,a),flip(a)]. 15131 K(x * T(y,z \ u),w) != v5 | K(x * T(y,z * u),w) = v5. [para(15098(a,1),4510(a,1))]. 15132 K(x * T(y,z * z),u) = K(x * y,u). [para(195(a,1),15130(a,1,1,2)),flip(a)]. 15133 K(x * (y / (z * z)),u) = K(x * ((z * z) \ y),u). [para(106(a,1),15132(a,1,1,2)),flip(a)]. 15134 K(((x * x) \ y) * z,u) = K(y * ((x * x) \ z),u). [hyper(65,a,13823,a,b,15133,a)]. 15135 T(x,y * K(z,u \ w)) = T(x,y * K(z,u * w)). [para(5731(a,1),15099(a,1,2)),flip(a)]. 15136 T(x,K(y * z,u) / w) = T(x,w \ K(y \ z,u)). [hyper(12994,a,15100,a)]. 15137 T(x,y \ K(z \ u,w)) != v5 | T(x,y \ K(z * u,w)) = v5. [para(15136(a,1),13376(a,1))]. 15138 K(x,T(y,z \ u) \ w) = K(x,T(y,z * u) \ w). [para(4889(a,1),15105(a,1,2)),flip(a)]. 15139 K(L(x,y,z),T(u,w * v5) \ v6) = K(x,L(T(u,w \ v5) \ v6,y,z)). [hyper(11478,a,15138,a),flip(a)]. 15140 K(x,T(y,(z * (u * u)) \ w) \ v5) = K(x,T(y,z * ((u * u) * w)) \ v5). [para(34(a,1),15138(a,2,2,1,2))]. 15141 K(x,T(y,z * z) \ u) = K(x,y \ u). [para(195(a,1),15138(a,1,2,1)),flip(a)]. 15143 K(x,((y * y) * z) \ u) = K(x,(z * (y * y)) \ u). [hyper(12366,a,15141,a),flip(a)]. 15144 K(x,((y \ 1) * T(z,y)) \ u) = K(x,(z * (1 / y)) \ u). [para(6631(a,1),15141(a,1,2,1))]. 15145 K(x,((y * y) * z) \ u) = K(x,(y * y) \ (z \ u)). [para(403(a,1),15143(a,2,2))]. 15146 K(x,((y * y) * z) \ u) = K(x,y \ (y \ (z \ u))). [hyper(290,a,12802,a(flip),b,15145,a),flip(a)]. 15147 K(x,y \ T(z,u \ w)) = K(x,y \ T(z,u * w)). [hyper(13039,a,15116,a),flip(a)]. 15148 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(8(a,1),15147(a,2,2,2,2))]. 15149 K(x,y \ T(z,u * u)) = K(x,y \ z). [para(195(a,1),15147(a,1,2,2)),flip(a)]. 15150 (x * K(y,z \ T(u,w * v5))) \ x = K(z \ T(u,w \ v5),y). [para(15147(a,1),6732(a,1,1,2))]. 15151 K(x,y \ T(z,(u \ w) * w)) = K(x,y \ T(z,T(u,w))). [para(8332(a,1),15147(a,1,2,2)),flip(a)]. 15152 K(x,y \ (((z * z) \ u) * w)) = K(x,y \ (u * (w / (z * z)))). [para(993(a,1),15149(a,1,2,2))]. 15153 K(x,y / (z * (u / (w * w)))) = K(x,y * ((z * u) \ (w * w))). [hyper(13034,a,15124,a)]. 15154 K(x,((y \ 1) * T(z,y)) \ u) = K(x,(z * (y \ 1)) \ u). [hyper(290,a,5258,a(flip),b,15144,a),flip(a)]. 15156 K(x,y \ T(z,(u \ w) * w)) = K(x,y \ T(z,u)). [hyper(290,a,14637,a(flip),b,15151,a),flip(a)]. 15158 K(x,y \ T(z,u * (u / w))) = K(x,y \ T(z,w)). [para(12346(a,1),15156(a,1,2,2))]. 15159 K(x,((T(y,z) \ 1) * z) \ u) = K(x,(z * (y \ 1)) \ u). [para(5741(a,2),15154(a,1,2,1))]. 15160 K(x,(((y \ z) \ 1) * y) \ u) = K(x,(y * ((z / y) \ 1)) \ u). [para(106(a,1),15159(a,1,2,1,1,1))]. 15161 T(x,K(y / z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(14660(a,2),15085(a,1))]. 15162 K(x,L(y,z,K(u \ w,v5)) * (K(u \ w,v5) * z)) != v6 | K(x,K(u * w,v5) * (z * T(y,K(u \ w,v5) * z))) = v6. [para(624(a,1),15102(a,1,2))]. 15163 K(x,K(y / z,u) * w) != v5 | K(x,K(z * y,u) * w) = v5. [para(14663(a,2),15102(a,1))]. 15164 K(x,K(y,z * u) * w) != v5 | K(x,K(y,z \ u) * w) = v5. [para(14723(a,1),15106(a,1))]. 15165 K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) * ((w * w) \ w)). [hyper(65,a,13825,a,b,15129,a)]. 15166 K((x * (y \ 1)) * (z * u),w) * K(w,(z * u) * ((y * y) \ (x * y))) = K(x * y,K(((y * y) \ z) * u,w)). [para(15129(a,1),11076(a,1,2))]. 15167 K(x \ T(y,z \ u),w) = K(x \ T(y,z * u),w). [hyper(6742,a,15150,a),flip(a)]. 15168 K(x \ T(y,z * u),T(w,y)) = K(T(y,z \ u) / x,w). [hyper(13340,a,15167,a),flip(a)]. 15169 K(T(x,y \ z) / u,w) = K(T(x,y * z) / u,w). [hyper(13340,a,15168,a),flip(a)]. 15171 K(x,(y * ((z / y) \ 1)) \ T(u,((y \ z) \ 1) * y)) = K(x,u / (((y \ z) \ 1) * y)). [hyper(12371,a,15160,a),flip(a)]. 15172 K(x,(((y \ z) \ 1) * y) \ T(u,y * ((z / y) \ 1))) = K(x,u / (y * ((z / y) \ 1))). [hyper(290,a,12372,a(flip),b,15160,a),flip(a)]. 15173 T(x,K(y * z,u) * T(w,K(u,y * z))) = T(x,w * K(y \ z,u)). [para(13320(a,1),15093(a,1,2,2))]. 15174 K(x,L(y * T(z,u \ w),v5,v6)) != v7 | K(x,L(y * T(z,u * w),v5,v6)) = v7. [para(15117(a,1),11478(a,1))]. 15175 K(x,L(T(y,z \ u) \ w,v5,v6)) != v7 | K(x,L(T(y,z * u) \ w,v5,v6)) = v7. [para(15139(a,1),11478(a,1))]. 15176 T(x,y * K(z \ u,w)) = T(x,y * K(z * u,w)). [para(7485(a,1),15173(a,1,2)),flip(a)]. 15177 x \ T(x,y * K(z * u,w)) = K(x,y * K(z \ u,w)). [hyper(120,a,15176,a(flip),b,4471,a(flip))]. 15178 x / T(x,y * K(z * u,w)) = K(y * K(z \ u,w),x). [para(15176(a,1),4408(a,2,2)),flip(a)]. 15179 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). [hyper(4544,a,15177,a),flip(a)]. 15180 K(x,y * K(z \ u,w)) != v5 | K(x,y * K(z * u,w)) = v5. [para(15177(a,1),4544(a,1))]. 15181 K(x,y * K((z * (u * u)) \ w,v5)) = K(x,y * K(z * ((u * u) * w),v5)). [para(34(a,1),15179(a,2,2,2,1))]. 15182 K(x,y * K((z / u) * z,w)) = K(x,y * K(u,w)). [para(81(a,1),15179(a,1,2,2,1)),flip(a)]. 15183 K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)) = K(x,y * K(((z \ 1) * u) \ w,v5)). [para(1887(a,1),15179(a,1,2,2,1)),flip(a)]. 15184 K(x,(y / z) * K(u * w,z)) = K(x,y / T(z,u \ w)). [para(6735(a,1),15179(a,1,2)),flip(a)]. 15185 K(x * K(y \ z,u),w) = K(x * K(y * z,u),w). [hyper(4510,a,15178,a),flip(a)]. 15186 K(x * K(y \ z,u),w) != v5 | K(x * K(y * z,u),w) = v5. [para(15178(a,1),4510(a,1))]. 15187 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [para(8(a,1),15185(a,2,1,2,1))]. 15188 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(11125,a,15187,a),flip(a)]. 15189 K(x,y / T(z,u \ w)) = K(x,y / T(z,u * w)). [para(6735(a,1),15184(a,1,2)),flip(a)]. 15190 K(x,y / T((z \ u) * w,z * u)) = K(x,y / (w * (z \ u))). [hyper(12401,a,15189,a),flip(a)]. 15191 K(x,y / T(z,z * u)) = K(x,y / ((z \ u) \ u)). [para(105(a,1),15189(a,1,2,2)),flip(a)]. 15192 K(x,y / T(z,z * u)) = K(x,y / T(z,u)). [hyper(290,a,13907,a(flip),b,15191,a),flip(a)]. 15193 K(x,y * K(K(z,u) * K(w,z),v5)) != v6 | K(x,y * K(T(z,w) * T(z,u),v5)) = v6. [para(5072(a,1),15180(a,1,2,2,1))]. 15194 K(x,y * (z * (u * K(w \ v5,u)))) != v6 | K(x,(y * (z * u)) * K(w * v5,L(u,z,y))) = v6. [para(9013(a,1),15180(a,1,2))]. 15195 K(x,y / T((z \ 1) * u,z)) = K(x,y / (u * (z \ 1))). [para(8(a,1),15190(a,1,2,2,2))]. 15196 K(x,y / ((1 / z) * T(u,z))) = K(x,y / (u * (z \ 1))). [hyper(65,a,12414,a(flip),b,15195,a)]. 15197 K(x,y / ((z \ 1) * T(u,z))) = K(x,y / (u * (z \ 1))). [hyper(65,a,5262,a(flip),b,15196,a)]. 15198 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15082(a,1),15080(a,2,1))]. 15199 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7109(a,2),15083(a,1,2))]. 15200 K(x,(y * y) * ((1 / z) * u)) = K(x,(z \ (y * y)) * u). [hyper(11060,a,15125,a),flip(a)]. 15201 K(x,((y * y) / z) * u) = K(x,(z \ (y * y)) * u). [para(442(a,1),15200(a,1,2))]. 15202 K(x,(y \ (z * z)) * u) = K(x,z * (z * (y \ u))). [hyper(65,a,13607,a(flip),b,15201,a),flip(a)]. 15203 K(x,y \ ((z * z) * u)) = K(x,z * (z * (y \ u))). [hyper(13047,a,15202,a)]. 15204 K(x,y * (y * ((y * z) \ u))) = K(x,((y \ 1) * z) \ u). [hyper(12375,a,15203,a),flip(a)]. 15205 K(x,y * (y * ((y * z) \ u))) != w | K(x,((y \ 1) * z) \ u) = w. [para(15203(a,1),12375(a,1))]. 15207 K(x,(1 / y) * ((1 / y) * ((1 / L(y,z,z)) \ u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). [para(6192(a,1),15204(a,1,2,2,2,1))]. 15208 K(x,(y / z) * ((y / z) * (y \ u))) != w | K(x,(((y / z) \ 1) * z) \ u) = w. [para(12(a,1),15205(a,1,2,2,2,1))]. 15209 K(x,T(y,(z * z) \ (u \ w)) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). [para(403(a,1),15140(a,1,2,1,2))]. 15210 K(x,y * K((z * z) \ (u \ w),v5)) = K(x,y * K(u * ((z * z) * w),v5)). [para(403(a,1),15181(a,1,2,2,1))]. 15211 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(290,a,4645,a(flip),b,15198,a),flip(a)]. 15212 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(15211(a,1),3042(a,1,1))]. 15213 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7204,a,15199,a),flip(a)]. 15214 K(x,T(y,z \ (z \ (u \ w))) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). [para(12813(a,1),15209(a,1,2,1))]. 15215 K(x,y * K(z \ (z \ (u \ w)),v5)) = K(x,y * K(u * ((z * z) * w),v5)). [para(12797(a,1),15210(a,1,2,2))]. 15216 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(65,a,9227,a,b,15213,a)]. 15217 K(x,T(y,z * (z \ (u \ w))) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). [hyper(65,a,15138,a(flip),b,15214,a)]. 15218 K(x,y * K(z * (z \ (u \ w)),v5)) = K(x,y * K(u * ((z * z) * w),v5)). [hyper(15180,a,15215,a)]. 15219 K(x,T(y,z * ((u * u) * w)) \ v5) = K(x,T(y,z \ w) \ v5). [para(10(a,1),15217(a,1,2,1,2)),flip(a)]. 15220 K(x,T(y,z * ((u * u) * w)) \ v5) = K(x,T(y,z * w) \ v5). [hyper(290,a,15138,a(flip),b,15219,a),flip(a)]. 15222 K(x,T(y,z * ((u \ 1) \ w)) \ v5) = K(x,T(y,z * (u \ w)) \ v5). [para(805(a,1),15220(a,1,2,1,2,2))]. 15223 K(x,y * K(z * ((u * u) * w),v5)) = K(x,y * K(z \ w,v5)). [para(10(a,1),15218(a,1,2,2,1)),flip(a)]. 15224 K(x,y * K(z * ((u * u) * w),v5)) = K(x,y * K(z * w,v5)). [hyper(290,a,15179,a(flip),b,15223,a),flip(a)]. 15226 K(x,L(T(y,z * 1) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). [hyper(15175,a,11160,a)]. 15227 K(x,L(T(y,z) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). [para(8(a,1),15226(a,1,2,1,1,2))]. 15228 K(x,(y * (z \ 1)) \ ((1 / z) * u)) = K(x,(y * z) \ (z * u)). [hyper(65,a,10953,a(flip),b,15227,a),flip(a)]. 15229 K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y * z) \ (z * u)). [hyper(13648,a,15228,a)]. 15230 K(x,L(T(y,z \ 1) \ u,y,z \ 1)) = K(x,(y * z) \ (z * u)). [hyper(65,a,10953,a,b,15229,a)]. 15231 K(x,L(T(y,(z / y) \ 1) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). [para(11127(a,1),15230(a,2,2))]. 15232 K(x,L(T(y,z \ (y * 1)) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). [para(9822(a,1),15231(a,1,2,1,1))]. 15233 K(x,L(T(y,z \ y) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). [para(8(a,1),15232(a,1,2,1,1,2,2))]. 15234 K(x,L(T(y,z \ y) \ u,y,z / y)) = K(x,z \ ((y \ z) * u)). [para(1846(a,1),15233(a,1,2))]. 15235 T(x,T(y / z,u) \ (y / T(z \ y,u))) = T(T(x,y),(y \ z) * (y \ z)). [hyper(290,a,14968,a(flip),b,14787,a),flip(a)]. 15236 T(x,T(y / z,u) \ (y / T(z \ y,u))) = T(x,y * ((y \ z) * (y \ z))). [hyper(290,a,1722,a(flip),b,15235,a),flip(a)]. 15237 T(x,T(y / z,u) \ (y / T(z \ y,u))) = T(x,z / (1 / (y \ z))). [para(702(a,1),15236(a,2,2))]. 15238 T(x,T(y / z,u) \ (y / T(z \ y,u))) = T(x,z * (y \ z)). [hyper(290,a,12998,a(flip),b,15237,a),flip(a)]. 15239 T(x,T(y / z,u) \ (T(y / z,u) \ y)) = T(x,z * (y \ z)). [para(7057(a,1),15238(a,1,2,2))]. 15240 T(x,(y / z) \ ((y / z) \ y)) = T(x,z * (y \ z)). [hyper(14788,a,15239,a)]. 15241 T(x,(y / z) \ z) = T(x,z * (y \ z)). [para(81(a,1),15240(a,1,2,2))]. 15242 T(T(x,K(y,z)),z * (y \ z)) = T(x,(z \ y) \ z). [hyper(65,a,12311,a(flip),b,15241,a),flip(a)]. 15243 x \ T(x,y * (z \ y)) = K(x,(z / y) \ y). [hyper(120,a,15241,a(flip),b,4471,a(flip))]. 15244 K(x,(y / z) \ z) = K(x,z * (y \ z)). [hyper(4544,a,15243,a),flip(a)]. 15245 K(x,y * (z \ y)) * K(x,K(y,z)) = K(x,(y \ z) \ y). [para(15244(a,1),12315(a,1,1))]. 15246 T(x,(y \ z) \ y) = T(x,y * (y / z)). [hyper(12349,a,15242,a),flip(a)]. 15248 T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,((z \ y) * (z \ y)) * y). [para(1040(a,1),15246(a,1,2)),flip(a)]. 15249 K(x,y * (z \ y)) * K(x,K(z,y)) = K(x,(y \ z) \ y). [para(7429(a,1),15245(a,1,2))]. 15250 T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,(z \ y) * ((z \ y) * y)). [hyper(290,a,12917,a(flip),b,15248,a),flip(a)]. 15251 T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(14875(a,1),14877(a,1,2)),flip(a)]. 15252 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(290,a,14584,a(flip),b,15251,a),flip(a)]. 15254 T(x,y * K(z * K(u,w),v5)) = T(x,K(z,v5) * y). [hyper(13377,a,15252,a)]. 15255 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(65,a,14661,a,b,15252,a)]. 15257 T(x,y * K(z,K(u,w) * v5)) = T(x,K(v5,z) * y). [hyper(65,a,14706,a(flip),b,15255,a)]. 15258 (x / T(y,K(z,u) * w)) * y = x * K(K(K(v5,v6) * z,u) * w,y). [para(15255(a,1),6767(a,1,1,2))]. 15259 T(x,y \ K(z,K(u,w) * v5)) = T(x,K(v5,z) * (y \ 1)). [hyper(13020,a,15257,a)]. 15260 T(x,y \ K(z,K(u,w) * v5)) = T(x,K(v5,z) / y). [hyper(290,a,12995,a(flip),b,15259,a),flip(a)]. 15261 T(x,y \ K(z,K(u,w) * v5)) = T(x,y \ K(v5,z)). [hyper(290,a,13361,a(flip),b,15260,a),flip(a)]. 15262 T(x,y \ K(z,K(u,w) * v5)) != v6 | T(x,y \ K(v5,z)) = v6. [para(15260(a,2),13376(a,1))]. 15263 T(x,y \ K(z * u,K(w,v5) * v6)) = T(x,y \ K(v6,z \ u)). [hyper(15137,a,15261,a)]. 15264 T(x,y \ K(z,u \ w)) = T(x,y \ K(z,u * w)). [hyper(15262,a,15263,a),flip(a)]. 15265 x / T(x,y \ K(z,u * w)) = K(y \ K(z,u \ w),x). [para(15264(a,1),4408(a,2,2)),flip(a)]. 15266 K(x \ K(y,z \ u),w) = K(x \ K(y,z * u),w). [hyper(4510,a,15265,a),flip(a)]. 15267 T(x * K(y \ K(z,y * 1),T(x,z)),(1 / y) * x) = L(x,T(K(z,y \ 1) / y,z),x). [para(15266(a,1),13482(a,1,1,2))]. 15268 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [hyper(4593,a,15258,a),flip(a)]. 15269 K(x * K(K(y,z) * u,w),v5) = K(K(u,w) * x,v5). [hyper(13419,a,15268,a)]. 15270 K(K(x,y) * ((K(z,u) * x) * w),v5) = K(T(K(z,u) * x,y) * w,v5). [para(4492(a,1),15268(a,1,1)),flip(a)]. 15271 K(K((x / y) * z,u) * w,v5) = K(K((y \ x) * z,u) * w,v5). [para(4764(a,1),15268(a,1,1,1,1))]. 15272 K(K(T(x * (y / z),K(y,z)),u) * w,v5) = K(K(x * (z \ y),u) * w,v5). [para(8732(a,1),15268(a,1,1,1,1))]. 15273 K(K(x * (y / z),u) * w,v5) = K(K(x * (z \ y),u) * w,v5). [para(13387(a,1),15272(a,1,1,1))]. 15275 T(x,K(y,z \ y) * (u * (z \ y))) = T(x,T(u * (y / z),K(z,y))). [para(10(a,1),15006(a,1,2,1,1))]. 15276 T(x,T(y * (z / u),K(u,z))) = T(x,y * T(u \ z,z)). [hyper(14717,a,15275,a),flip(a)]. 15277 T(x,y * T(z \ u,u)) = T(x,y * (u / z)). [hyper(13428,a,15276,a),flip(a)]. 15278 T(x,y * T(z \ u,u)) != w | T(x,y * (u / z)) = w. [para(15276(a,1),13428(a,1))]. 15280 T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). [hyper(65,a,14599,a(flip),b,15277,a),flip(a)]. 15281 T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,(K(u,w) / y) * z). [hyper(65,a,14975,a(flip),b,15280,a),flip(a)]. 15283 K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / ((u \ 1) \ K(u,w)))). [para(8(a,1),15044(a,1,2,2,2,2,1)),flip(a)]. 15284 K(x,y * (z / T(T(u,w),u \ 1))) = K(x,y * (z / T((u \ 1) \ 1,w))). [para(4644(a,2),15283(a,2,2,2,2)),flip(a)]. 15286 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). [para(15252(a,1),14722(a,2,2,1))]. 15288 K(x,y * ((K(z,u) / w) * a(K(u,z) * w,v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). [para(12862(a,1),14960(a,1,2,2,2))]. 15289 K(x,T(y,z \ u) * ((w * w) \ w)) = K(x,(K(T(y,z \ u),w) / w) * T(y,z * u)). [hyper(65,a,15127,a(flip),b,15118,a)]. 15290 K(x,(y * ((z / y) \ 1)) \ T(u,(y \ z) \ y)) = K(x,u / (((y \ z) \ 1) * y)). [para(12856(a,1),15171(a,1,2,2))]. 15291 K(x,(y * ((z / y) \ 1)) \ T(u,y * (y / z))) = K(x,u / (((y \ z) \ 1) * y)). [para(15246(a,1),15290(a,1,2,2))]. 15292 K(x,(y * ((z / y) \ 1)) \ T(u,z)) = K(x,u / (((y \ z) \ 1) * y)). [hyper(65,a,15158,a(flip),b,15291,a)]. 15294 K(x,(((y \ z) \ 1) * y) \ T(u,y / (z / y))) = K(x,u / (y * ((z / y) \ 1))). [para(12995(a,1),15172(a,1,2,2))]. 15295 K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)) = K(x,y * K(((z \ 1) * u) * w,v5)). [hyper(290,a,15179,a(flip),b,15183,a),flip(a)]. 15296 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(9769(a,1),15216(a,1,2,1))]. 15297 K(x,(K(T(y,z \ u),w) / w) * T(y,z * u)) = K(x,T(y,z \ u) * (1 / w)). [para(441(a,1),15289(a,1,2,2)),flip(a)]. 15298 K(x,(K(T(y,z \ u),w) / w) * T(y,z * u)) = K(x,T(y,z \ u) / w). [hyper(290,a,12977,a(flip),b,15297,a),flip(a)]. 15299 K(x,(K(y,T(z,u \ w)) / z) * T(y,u * w)) = K(x,T(y,u \ w) / z). [para(7162(a,1),15298(a,1,2,1,1))]. 15300 K(x,(K(y,T(z,u * w)) / z) * T(y,u * w)) = K(x,T(y,u \ w) / z). [para(13273(a,1),15299(a,1,2,1,1))]. 15301 K(x,y * K((z * u) * ((z * z) * w),v5)) = K(x,y * K(((z \ 1) * u) * w,v5)). [para(11132(a,1),15295(a,1,2,2))]. 15302 K(x,y * K(((z \ 1) * u) * w,v5)) = K(x,y * K((z * u) * w,v5)). [hyper(65,a,15224,a(flip),b,15301,a),flip(a)]. 15303 K(x,K(((y \ 1) * z) * u,w) * v5) = K(x,v5 * K((y * z) * u,w)). [hyper(13420,a,15302,a)]. 15305 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13535(a,1),15296(a,1,2,1))]. 15306 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(4855,a,15305,a),flip(a)]. 15307 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(65,a,13347,a(flip),b,15306,a)]. 15308 T(x * K(y \ K(z,y),T(x,z)),(1 / y) * x) = L(x,T(K(z,y \ 1) / y,z),x). [para(8(a,1),15267(a,1,1,2,1,2,2))]. 15309 T(x * K(y \ 1,x),(1 / y) * x) = L(x,T(K(z,y \ 1) / y,z),x). [para(7694(a,1),15308(a,1,1,2))]. 15310 T(x * K(y \ 1,x),y \ x) = L(x,T(K(z,y \ 1) / y,z),x). [hyper(12854,a,15309,a)]. 15312 T(x * K(y \ 1,x),y \ x) = L(x,1 / y,x). [para(5087(a,1),15310(a,2,2))]. 15313 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(290,a,13685,a,b,14911,a),flip(a)]. 15314 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(13474(a,1),15313(a,2,3))]. 15315 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(65,a,14846,a(flip),b,15314,a)]. 15317 K(x,y / ((z \ 1) * (T(u,1 / z) * K(w,v5)))) = K(x,y * ((u * (1 / z)) \ K(v5,L(w,u,z)))). [para(11461(a,1),14694(a,2,2,2,2))]. 15318 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),14976(a,1,2,2,1,1)),flip(a)]. 15319 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(13528,a,15318,a)]. 15321 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),15319(a,1,2,2,2))]. 15322 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(290,a,13556,a,b,15286,a),flip(a)]. 15323 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(290,a,13703,a(flip),b,15322,a),flip(a)]. 15324 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(103(a,1),15323(a,1,1,2,2,2))]. 15325 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(12972,a,15324,a)]. 15326 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). [hyper(13523,a,15325,a)]. 15327 K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). [hyper(13420,a,15325,a)]. 15328 K(x,K(y,K(z,u) * w) * v5) = K(x,K(w,y) * v5). [hyper(290,a,13406,a,b,15326,a),flip(a)]. 15329 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(15326(a,2),13420(a,1))]. 15330 K(K(x,y * K(z,u)) * w,v5) = (v6 * K(v5,w * K(y,x))) \ v6. [para(15327(a,1),6732(a,1,1,2)),flip(a)]. 15331 K(x,K(y * K(z,u),w) * v5) = K(x,K(y,w) * v5). [hyper(14753,a,15328,a)]. 15333 K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). [hyper(14733,a,15328,a)]. 15334 K(x,K(y,z) * (u * (K(w,v5) * y))) != v6 | K(x,u * T(K(w,v5) * y,z)) = v6. [para(15328(a,1),14734(a,1))]. 15335 K(x,y * K(z * K(u,w),v5)) = K(x,K(z,v5) * y). [hyper(13421,a,15331,a)]. 15337 K(x,K(y * T(z,u),w) * v5) = K(x,K(y * z,w) * v5). [para(1349(a,1),15331(a,1,2,1,1))]. 15338 K(x,K(y * z,u) * w) = K(x,w * K(z * y,u)). [para(4401(a,1),15333(a,1,2,2,1)),flip(a)]. 15339 K(x,y * K(T(z,u) * w,v5)) = K(x,K(z * w,v5) * y). [para(4492(a,1),15333(a,1,2,2,1))]. 15340 K(x,y * K(T(z,u) * T(z,w),v5)) = K(x,K(K(z,w),v5) * y). [hyper(15193,a,15335,a)]. 15341 K(x,y * K(z * u,w)) = K(x,y * K(u * z,w)). [hyper(13421,a,15338,a)]. 15342 K(x,K(y * ((z \ 1) * u),w) * v5) = K(x,v5 * K((z * u) * y,w)). [hyper(290,a,15302,a(flip),b,15338,a),flip(a)]. 15343 K(x,y * K(z * u,w)) != v5 | K(x,y * K(u * z,w)) = v5. [para(15338(a,1),13421(a,1))]. 15344 K(x,y * K(z * (z / u),w)) = K(x,y * K(u,w)). [hyper(290,a,15182,a(flip),b,15341,a),flip(a)]. 15346 K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(14732(a,2),15329(a,1))]. 15348 K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). [hyper(290,a,6732,a(flip),b,15330,a),flip(a)]. 15349 K(K(x,y) * z,u) = K(z * K(y,x),u). [para(175(a,1),15348(a,1,1,1,2))]. 15350 K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). [para(4471(a,2),15348(a,1,1,1,2))]. 15351 K(K(x * y,z) * u,w) = K(u * K(z,x \ y),w). [hyper(15112,a,15349,a)]. 15352 K(x * K(y,z),u) = K(x * K(z,y),u). [hyper(13419,a,15349,a)]. 15353 K(K(x,K(y,z) * u) * w,v5) = K(K(u,x) * w,v5). [hyper(290,a,15269,a(flip),b,15349,a),flip(a)]. 15354 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [hyper(290,a,13426,a(flip),b,15349,a),flip(a)]. 15355 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(65,a,15268,a(flip),b,15349,a),flip(a)]. 15356 (K(x,y) * z) * K(z * K(y,x),u) = T(K(x,y) * z,u). [para(15349(a,1),4471(a,2,2)),flip(a)]. 15357 K(K(x,y) * (z / x),u) = K(z / T(x,y),u). [para(6735(a,1),15349(a,2,1))]. 15358 K(x,y) * (z * K(z * K(y,x),u)) = T(K(x,y) * z,u). [para(15349(a,1),12879(a,1,2,2))]. 15359 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(15349(a,1),13419(a,1))]. 15360 K(K(x,y) * (x \ z),u) != w | K(T(x,y) \ z,u) = w. [para(15349(a,2),13436(a,1))]. 15361 K(x * (K(y,(z / T(u,w)) * v5) * K(y,K(v5,u * z))),v6) = K(K(v5 * (z / T(u,w)),y) * x,v6). [para(14883(a,2),15349(a,2,1,2)),flip(a)]. 15362 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(290,a,15187,a(flip),b,15352,a),flip(a)]. 15363 K((x / (y * z)) * K(z,y),u) = K(x / (z * y),u). [para(10732(a,1),15352(a,1,1)),flip(a)]. 15364 K((x * y) * K(L(z,y,x),u),w) = K(x * (y * K(u,z)),w). [para(11445(a,1),15352(a,1,1)),flip(a)]. 15365 x * (K(y,z) * K(x * K(z,y),u)) = T(x * K(y,z),u). [para(15352(a,1),12879(a,1,2,2))]. 15366 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(15352(a,1),13418(a,1))]. 15367 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [hyper(65,a,15026,a,b,15354,a)]. 15368 K(((x * y) / x) \ z,u) = K(T(y,x) \ z,u). [para(4727(a,2),15354(a,1,1))]. 15369 K(x / (y * K(z,y)),u) = K(x / T(y,z),u). [hyper(65,a,13485,a,b,15357,a)]. 15370 K((x * y) * K(z,(L(u,y,x) \ 1) \ 1),w) = K(x * (y * K(u \ 1,z)),w). [para(5584(a,1),15362(a,2,1))]. 15371 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(15362(a,1),11052(a,1))]. 15372 K(T(x * y,y) \ z,u) = K((y * x) \ z,u). [para(11(a,1),15367(a,1,1,1,2)),flip(a)]. 15373 K((x \ (x * y)) \ z,x \ (x * y)) = K(T(y,x) \ z,x \ (x * y)). [hyper(7033,a,15368,a)]. 15374 K(x * (y \ K(y,z)),u) = K(x / T(y,z),u). [hyper(13042,a,15369,a)]. 15376 K((x * y) \ T(z,x * y),u) = K(z / T(y * x,x),u). [hyper(12362,a,15372,a),flip(a)]. 15377 K(x * (((y \ 1) * z) \ K((y \ 1) * z,y)),u) = K(x / ((y \ 1) * ((y \ z) * y)),u). [para(2065(a,2),15374(a,2,1,2))]. 15378 K(x,y * (z \ K(z,u))) * a(w,v5,K(y / T(z,u),x)) = K(x,L(y * (z \ K(z,u)),v5,w)). [para(15374(a,1),11442(a,1,2,3))]. 15379 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(13407(a,2),15359(a,1))]. 15380 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(14629(a,2),15379(a,1))]. 15381 K(x * K(y,z \ u),w) = K(x * K(y,z * u),w). [hyper(15379,a,15351,a),flip(a)]. 15382 K(K(x * y,K(z,u) * w) * v5,v6) = K(K(w,x \ y) * v5,v6). [hyper(290,a,15269,a(flip),b,15351,a),flip(a)]. 15383 K(x * K(y,z / u),w) = K(x * K(y,u * z),w). [hyper(14698,a,15381,a)]. 15384 K((x * (y / x)) \ z,u) != w | K(T(y,x) \ z,u) = w. [para(15026(a,2),15360(a,1))]. 15385 K(T(K(x,y) * z,u) * T(w,z * K(z * K(y,x),u)),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). [para(15358(a,1),11024(a,1,1,1))]. 15386 K(x / T(y * z,z),u) = K(x / (z * y),u). [hyper(12361,a,15376,a),flip(a)]. 15387 K(x / T((y \ 1) * T(z,y),T(y,y \ 1)),u) = K(x / (T(y,y \ 1) * ((y * y) \ z)),u). [para(6629(a,1),15386(a,1,1,2,1))]. 15388 K(x,y * K(T(z,u) * T(z,w),v5)) = K(x,y). [hyper(290,a,14617,a(flip),b,15340,a),flip(a)]. 15390 K(x,K(y * T(y,z),u) * w) = K(x,w). [hyper(65,a,15339,a(flip),b,15388,a)]. 15391 K(x,K(y * y,z) * u) = K(x,u). [hyper(65,a,15337,a(flip),b,15390,a)]. 15392 K(x,y * (K(z * z,u) * w)) = K(x,y * w). [para(9138(a,1),15391(a,1,2))]. 15393 K(K(x,y \ z) * u,w) = K(K(x,y * z) * u,w). [hyper(65,a,15353,a(flip),b,15382,a),flip(a)]. 15394 K(K(x,y * (y * z)) * u,w) = K(K(x,z) * u,w). [para(9(a,1),15393(a,1,1,1,2)),flip(a)]. 15395 K(K(x,y * (z * z)) * u,w) = K(K(x,y) * u,w). [para(13208(a,2),15394(a,1,1,1))]. 15396 K(x,y * K(z,u * ((w \ 1) * v5))) = K(x,y * K((w * v5) * u,z)). [hyper(14733,a,15342,a)]. 15397 K((x \ (x * y)) \ z,x \ (x * y)) = K(T(y,x) \ z,y). [para(9(a,1),15373(a,2,2))]. 15398 K((x \ (x * a(y,z,u))) \ w,x \ (x * a(y,z,u))) = a(T(a(y,z,u),x) \ w,z,K(u,y)). [hyper(290,a,13658,a,b,15397,a),flip(a)]. 15399 K(x,T(y,z * ((1 / u) * w)) \ v5) = K(x,(y \ v5) * K((u * w) * z,y)). [hyper(65,a,14744,a(flip),b,15396,a)]. 15400 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(15371,a,15188,a)]. 15401 K((x \ 1) * T((x \ y) / (x \ 1),z),u) != w | K(((z * y) / z) / x,u) = w. [para(15400(a,1),11663(a,1))]. 15402 K(x,T(y / T(z,(u * w) * v5),z)) = K(x,T(z,v5 * ((1 / u) * w)) \ y). [para(6958(a,2),15399(a,2,2)),flip(a)]. 15403 K(x,T(y,z * ((1 / u) * w)) \ v5) = K(x,T(y,(u * w) * z) \ v5). [hyper(14702,a,15402,a),flip(a)]. 15404 K(x,T(y,z * ((u \ 1) * w)) \ v5) = K(x,T(y,(u * w) * z) \ v5). [para(4112(a,1),15403(a,1,2,1))]. 15405 K((x * y) * K(z,L(u,y,x)),w) = K(x * (y * K(u \ 1,z)),w). [para(4782(a,1),15370(a,1,1,2))]. 15406 K(T(x,y) * (x \ (z * (y \ 1))),u) = K(z * ((y \ 1) * K(y \ 1,((z * (y \ 1)) \ (x \ (z * (y \ 1)))) \ 1)),u). [para(8242(a,2),15405(a,1,1))]. 15407 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(15401,a,11193,a),flip(a)]. 15408 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4169(a,1),15407(a,1,1))]. 15409 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(7739,a,15408,a),flip(a)]. 15410 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(65,a,8862,a,b,15409,a)]. 15411 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12515,a,15410,a),flip(a)]. 15412 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12516,a,15411,a),flip(a)]. 15413 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4514(a,1),15412(a,1,1,2)),flip(a)]. 15414 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15413(a,1),4814(a,1,2)),flip(a)]. 15415 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(290,a,4814,a(flip),b,15414,a),flip(a)]. 15416 K(x,y \ T(T(z,u),u)) != w | K(x,y \ z) = w. [para(15414(a,2),4818(a,1))]. 15417 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3629(a,1),15415(a,1,2,2,1))]. 15418 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(65,a,12480,a(flip),b,15417,a)]. 15419 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3599(a,1),15418(a,1,2,2)),flip(a)]. 15420 K(x,y \ T(z * u,u)) = K(x,y \ (u * z)). [para(11(a,1),15419(a,1,2,2,2)),flip(a)]. 15421 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(3472(a,2),15419(a,1,2,2)),flip(a)]. 15422 K(x,y \ T((z * u) * (z \ 1),z \ 1)) = K(x,y \ (z * ((1 / z) * u))). [para(724(a,1),15420(a,2,2,2))]. 15423 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(65,a,12480,a(flip),b,15421,a),flip(a)]. 15424 K(x,y \ (T(z,u) * u)) = K(x,(y \ 1) * (u * z)). [hyper(290,a,12836,a,b,15423,a),flip(a)]. 15425 K(x,y \ (T(z,T(u,w) / w) * (T(u,w) / w))) = K(x,y \ ((u / T(w,u)) * z)). [para(3628(a,1),15423(a,2,2,2))]. 15426 K(x,y \ (T(z,u) * u)) != w | K(x,y \ (u * z)) = w. [para(15424(a,2),13039(a,1))]. 15427 K(x,y \ (T(z,u * w) * (T(w,u) * u))) != v5 | K(x,y \ ((T(w,u) * u) * z)) = v5. [para(11038(a,1),15426(a,1,2,2,1))]. 15428 K(x,y \ (T(z,u * (u / w)) * ((w \ u) * u))) != v5 | K(x,y \ (((w \ u) * u) * z)) = v5. [para(12346(a,1),15426(a,1,2,2,1))]. 15429 K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. [para(15421(a,2),15426(a,1))]. 15430 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(14618(a,1),15429(a,1))]. 15431 K(x,y \ T((z * u) * (z \ 1),z)) = K(x,y \ (z * ((1 / z) * u))). [hyper(65,a,15148,a(flip),b,15422,a)]. 15432 K(x,y \ (z * ((1 / z) * u))) = K(x,y \ R(u,z,z)). [para(838(a,1),15431(a,1,2,2)),flip(a)]. 15433 K(x,y \ (T(z,u \ w) * (T(w,u) / u))) = K(x,y \ ((w / T(u,w)) * z)). [para(12282(a,1),15425(a,1,2,2,1))]. 15434 K(x * (((y \ 1) * z) \ K(y \ z,y)),u) = K(x / ((y \ 1) * ((y \ z) * y)),u). [para(6642(a,1),15377(a,1,1,2,2))]. 15435 K(x / (T(y,y \ 1) * ((y * y) \ z)),u) = K(x / T((y \ 1) * T(z,y),y),u). [hyper(14684,a,15387,a),flip(a)]. 15436 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(8132(a,1),14973(a,1,1))]. 15437 K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) * (1 / w)). [para(441(a,1),15165(a,2,2,2))]. 15438 K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) / w). [hyper(290,a,12977,a(flip),b,15437,a),flip(a)]. 15439 K(x,(K(T(y,z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) / w). [para(12511(a,1),15438(a,1,2,1,1))]. 15440 K(x,T(y,T(z,u) * w) \ (T(z,u) * w)) = K(x,(((z \ u) \ u) * w) / y). [hyper(13038,a,15439,a)]. 15441 K(x,(((y \ z) \ z) * u) / w) = K(x,(T(y,z) * u) / w). [hyper(12369,a,15440,a),flip(a)]. 15442 K(x,(T(y,1) * ((y \ 1) * z)) / u) = K(x,(y * ((1 / y) * z)) / u). [para(1955(a,1),15441(a,1,2,1)),flip(a)]. 15443 K(x,(y * ((1 / y) * z)) / u) = K(x,(y * ((y \ 1) * z)) / u). [para(191(a,1),15442(a,1,2,1,1)),flip(a)]. 15444 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(65,a,3042,a(flip),b,15212,a),flip(a)]. 15445 K(x * (K(y,(z / T(u,w)) * v5) * K(y,K(v5,u * z))),v6) = K(K(v5 * (T(u,w) \ z),y) * x,v6). [hyper(290,a,15273,a(flip),b,15361,a),flip(a)]. 15446 K(K(x * (T(y,z) \ u),w) * v5,v6) = K(v5 * K(w,(u / T(y,z)) * x),v6). [hyper(14657,a,15445,a),flip(a)]. 15447 K(x,K(y,z)) * K(x,(K(u,w) * z) * (y * K(w,u))) = K(x,(y * K(u,w)) * (K(w,u) * z)). [para(14866(a,1),15053(a,1,1))]. 15449 K((x * (y \ 1)) * (z * u),w) * K(w,(z * u) * (((y * y) \ x) * y)) = K(x * y,K(((y * y) \ z) * u,w)). [para(400(a,1),15166(a,1,2,2,2))]. 15450 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (x \ (x * (y \ 1)))) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),15406(a,1,1,2)),flip(a)]. 15451 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (y \ 1)) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),15450(a,1,1,2,2,2,1,2))]. 15453 K(x * ((y \ 1) * K(y \ 1,(y \ 1) \ (x * (y \ 1)))),z) = K(T(x,y) * (y \ 1),z). [para(5790(a,1),15451(a,1,1,2,2))]. 15454 K(x * ((y \ 1) * K(y \ 1,x)),z) = K(T(x,y) * (y \ 1),z). [para(4585(a,1),15453(a,1,1,2,2))]. 15455 K(T(x,y) * (y \ 1),z) = K(x * T(y \ 1,x),z). [para(4471(a,2),15454(a,1,1,2)),flip(a)]. 15456 K(T(x,y) * (y \ 1),z) = K((y \ 1) * x,z). [para(104(a,1),15455(a,2,1))]. 15457 K((x \ 1) * T(y,x),T(z,y)) = K((x \ 1) * y,z). [hyper(13514,a,15456,a)]. 15458 K((x \ 1) * y,z) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(15457(a,1),13567(a,1,1))]. 15459 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,(y \ 1) * T(z,y)). [hyper(4855,a,15458,a)]. 15460 T(x,(y \ 1) * T(z,y)) = T(x,z * (y \ 1)). [hyper(65,a,13422,a(flip),b,15459,a),flip(a)]. 15461 T(x,T(y,z) * (z \ 1)) = T(x,(z \ 1) * y). [hyper(14758,a,15460,a),flip(a)]. 15462 T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(65,a,11816,a(flip),b,15461,a),flip(a)]. 15463 T(T(x,K(y,(y \ 1) \ (y \ z))),y \ z) = T(x,y \ (1 * T(1 \ z,y))). [para(10(a,1),15462(a,1,2))]. 15464 T(T(x,y \ z),K(y,(y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(824,a,15463,a)]. 15466 T(x,y \ (1 * T(1 \ z,y))) = T(x,T(y \ z,y)). [hyper(11118,a,15464,a),flip(a)]. 15467 T(x,y \ (1 * T(1 \ z,y))) = T(x,z / y). [hyper(290,a,7606,a(flip),b,15466,a),flip(a)]. 15468 T(x,y \ (1 * T(z,y))) = T(x,z / y). [para(67(a,1),15467(a,1,2,2,2,1))]. 15469 T(x,y \ T(z,y)) = T(x,z / y). [para(7(a,1),15468(a,1,2,2))]. 15470 T(1 / x,y * x) = T(x \ 1,y / x). [hyper(65,a,13234,a(flip),b,15469,a)]. 15471 T(x,(y / z) / z) = T(x,z \ (z \ y)). [para(106(a,1),15469(a,1,2,2)),flip(a)]. 15472 T(x,T(y,z) \ z) = T(x,z / y). [para(3604(a,2),15469(a,1,2))]. 15473 T(x,y / (z / y)) = T(x,(y \ z) \ y). [para(106(a,1),15472(a,1,2,1)),flip(a)]. 15474 T(x,y * T(z,T(u,w) * w)) = T(x,y * T(z,w / u)). [para(15472(a,1),15096(a,1,2,2)),flip(a)]. 15475 K(x,T(y,T(z,u) * u) \ w) = K(x,T(y,u / z) \ w). [para(15472(a,1),15138(a,1,2,1)),flip(a)]. 15476 T(1 / x,y * x) = T(x \ 1,x \ y). [hyper(290,a,7927,a(flip),b,15470,a),flip(a)]. 15477 T(x * ((y \ 1) \ 1),y \ (y \ 1)) = ((1 / y) \ 1) * T(x,1 / y). [hyper(65,a,13824,a(flip),b,15471,a),flip(a)]. 15478 T(x,y / (z / y)) = T(x,y * (y / z)). [hyper(290,a,15246,a(flip),b,15473,a),flip(a)]. 15479 K(x,(((y \ z) \ 1) * y) \ T(u,y * (y / z))) = K(x,u / (y * ((z / y) \ 1))). [para(15478(a,1),15294(a,1,2,2))]. 15480 T(x,y * T(z,u / w)) = T(x,y * T(z,u * w)). [para(11038(a,1),15474(a,1,2,2)),flip(a)]. 15481 K(x,T(y,z / u) \ w) = K(x,T(y,z * u) \ w). [para(11038(a,1),15475(a,1,2,1)),flip(a)]. 15482 T(x * ((y \ 1) \ 1),y \ (y \ 1)) = y * T(x,1 / y). [hyper(290,a,186,a(flip),b,15477,a),flip(a)]. 15484 T(x * ((y \ 1) \ 1),y \ (y \ 1)) = y * T(x,y \ 1). [para(2635(a,1),15482(a,2,2))]. 15485 (x \ (x * T(y,x \ 1))) * (x * x) = (x \ 1) \ (y * x). [para(15484(a,1),14292(a,1,1,2))]. 15486 T(x,y \ 1) * (y * y) = (y \ 1) \ (x * y). [para(9(a,1),15485(a,1,1))]. 15487 x * (T(y \ 1,x) \ y) = (y \ 1) \ (x * y). [hyper(65,a,5242,a(flip),b,15486,a)]. 15489 ((x \ 1) \ (y * x)) \ T(T(y,x \ 1),T(y,x \ 1) * (x * x)) = ((x * x) * T(y,x \ 1)) \ T(y,x \ 1). [para(15487(a,1),14189(a,1,1))]. 15490 K(x,(((y \ z) \ 1) * y) \ T(u,z)) = K(x,u / (y * ((z / y) \ 1))). [hyper(65,a,15158,a(flip),b,15479,a)]. 15492 K(x,(y * ((z / y) \ 1)) \ T(u,z)) = K(x,u / (y * ((z / y) \ 1))). [hyper(65,a,15160,a(flip),b,15490,a)]. 15493 K(x,y / (((z \ u) \ 1) * z)) = K(x,y / (z * ((u / z) \ 1))). [hyper(65,a,15292,a(flip),b,15492,a)]. 15494 ((x \ 1) \ (y * x)) \ T(T(y,x \ 1),(x \ 1) \ (y * x)) = ((x * x) * T(y,x \ 1)) \ T(y,x \ 1). [para(15486(a,1),15489(a,1,2,2))]. 15495 ((x \ 1) \ (y * x)) \ T(T(y,x \ 1),x * (y * x)) = ((x * x) * T(y,x \ 1)) \ T(y,x \ 1). [para(12858(a,1),15494(a,1,2))]. 15496 ((x * x) * T(y,x \ 1)) \ T(y,x \ 1) = ((x \ 1) \ (y * x)) \ T(y,x). [para(13990(a,1),15495(a,1,2)),flip(a)]. 15497 ((x * x) * T(y,x \ 1)) \ T(y,x \ 1) = T(x \ (x \ 1),y). [hyper(290,a,13952,a(flip),b,15496,a),flip(a)]. 15498 T(x,y \ 1) \ ((y * y) \ T(x,y \ 1)) = T(y \ (y \ 1),x). [hyper(562,a,15497,a)]. 15499 T(x,y \ 1) \ (T(x,y) / (y * y)) = T(y \ (y \ 1),x). [para(13247(a,1),15498(a,1,2))]. 15500 K(x,y) * (y \ (y \ K(y \ 1,x))) = T(y \ (y \ 1),x). [hyper(65,a,13194,a(flip),b,15499,a)]. 15501 K(x,y) * (y \ T(y \ 1,x)) = T(y \ (y \ 1),x). [para(4418(a,1),15500(a,1,2,2))]. 15502 T(x,y) \ T(x \ 1,y) = T(x \ (x \ 1),y). [hyper(4955,a,15501,a)]. 15503 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(13515,a,14951,a),flip(a)]. 15505 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(14385(a,1),15503(a,2,2))]. 15506 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(290,a,15073,a(flip),b,15505,a),flip(a)]. 15507 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(14983,a,15506,a)]. 15510 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(65,a,14910,a(flip),b,15507,a)]. 15511 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(65,a,14925,a(flip),b,15510,a),flip(a)]. 15512 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11480,a,15511,a)]. 15514 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(12920(a,1),15511(a,1,2,2,2)),flip(a)]. 15515 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(290,a,13743,a,b,15512,a),flip(a)]. 15516 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13744,a,15515,a)]. 15517 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4496(a,1),15516(a,1,2))]. 15518 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4509(a,1),15516(a,1,2))]. 15519 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(65,a,11527,a(flip),b,15517,a),flip(a)]. 15520 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7415(a,2),15519(a,2,3))]. 15521 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11272(a,1),15520(a,2,3))]. 15522 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(10(a,1),15521(a,1,3,2,2))]. 15523 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7415(a,1),15522(a,1,3))]. 15524 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(10(a,1),15523(a,2,3,2,2))]. 15525 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7415(a,1),15524(a,2,3))]. 15526 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(81(a,1),15525(a,1,2,2))]. 15527 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7415(a,2),15526(a,1,3))]. 15528 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7415(a,2),15527(a,2,3))]. 15529 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(65,a,13720,a,b,15528,a)]. 15530 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7429(a,1),15529(a,2,3))]. 15531 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4044(a,1),6588(a,1,2,1)),flip(a)]. 15532 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2442(a,1),15531(a,2,2,2))]. 15534 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(14079(a,1),15532(a,2,2))]. 15535 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(290,a,4811,a(flip),b,15534,a),flip(a)]. 15536 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(290,a,5500,a(flip),b,15535,a),flip(a)]. 15537 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4044(a,1),15536(a,1,2,2,2))]. 15539 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4811(a,1),15537(a,1,2,2))]. 15540 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(5626(a,1),15539(a,1,2,2)),flip(a)]. 15541 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(290,a,8311,a(flip),b,15540,a),flip(a)]. 15542 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(191(a,1),15541(a,2,2))]. 15543 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(15444(a,1),15542(a,1,1,1)),flip(a)]. 15544 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(290,a,15542,a(flip),b,15543,a),flip(a)]. 15545 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(290,a,7162,a(flip),b,15544,a),flip(a)]. 15546 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7347,a,15545,a)]. 15547 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(65,a,15077,a(flip),b,15546,a)]. 15548 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(65,a,15078,a(flip),b,15547,a),flip(a)]. 15549 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(65,a,9971,a(flip),b,15548,a)]. 15550 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(103(a,1),15549(a,1,2,2,1,1)),flip(a)]. 15552 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(65,a,14811,a(flip),b,15550,a)]. 15553 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(290,a,7398,a,b,15552,a)]. 15554 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(36,a,14830,a,b,15553,a)]. 15555 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8081,a,15554,a)]. 15556 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(65,a,14873,a(flip),b,15554,a),flip(a)]. 15557 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(65,a,14859,a(flip),b,15554,a),flip(a)]. 15558 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15554(a,1),14895(a,1,1))]. 15559 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13516,a,15557,a)]. 15560 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),15559(a,1,2,2,2,2)),flip(a)]. 15561 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8205,a,15558,a),flip(a)]. 15562 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(65,a,14950,a(flip),b,15561,a),flip(a)]. 15563 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(81(a,1),15561(a,1,2,1,2)),flip(a)]. 15564 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13517,a,15563,a)]. 15565 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),15562(a,2,2,2,2))]. 15566 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(290,a,14907,a,b,15565,a),flip(a)]. 15567 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(15565(a,2),14909(a,1))]. 15568 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(65,a,15564,a(flip),b,15566,a)]. 15569 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13007(a,1),15566(a,1,2))]. 15570 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(15566(a,2),14909(a,1))]. 15572 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(65,a,15569,a(flip),b,15568,a),flip(a)]. 15573 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3164(a,2),15568(a,2,2,2,1))]. 15574 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13010(a,1),15573(a,1,2))]. 15575 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(15567,a,15574,a),flip(a)]. 15576 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(65,a,15555,a(flip),b,15575,a)]. 15577 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(14954,a,15576,a)]. 15578 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(65,a,14980,a,b,15577,a)]. 15580 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(65,a,14978,a(flip),b,15577,a),flip(a)]. 15581 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(14981,a,15578,a)]. 15582 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(14912,a,15580,a)]. 15583 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(65,a,15572,a,b,15580,a)]. 15584 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(65,a,13510,a(flip),b,15580,a),flip(a)]. 15585 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(65,a,14486,a,b,15582,a)]. 15586 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(9216(a,1),15582(a,1,2))]. 15587 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14094(a,1),15582(a,1,2,2,2,1)),flip(a)]. 15588 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(14912,a,15583,a)]. 15589 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(65,a,14022,a(flip),b,15585,a)]. 15590 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(14460(a,1),15586(a,1,2)),flip(a)]. 15591 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(290,a,15588,a(flip),b,15587,a),flip(a)]. 15593 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(65,a,15581,a(flip),b,15591,a)]. 15594 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(14909,a,15593,a)]. 15596 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(65,a,14945,a(flip),b,15593,a)]. 15597 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8081,a,15596,a)]. 15598 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(104(a,1),15596(a,1,2,2,2)),flip(a)]. 15599 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(65,a,15315,a(flip),b,15597,a),flip(a)]. 15600 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13498,a,15599,a)]. 15602 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(290,a,13763,a,b,15599,a),flip(a)]. 15603 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(15599(a,1),7413(a,1))]. 15604 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),15600(a,1,2,2,2,2))]. 15605 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(14954,a,15598,a),flip(a)]. 15606 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(15068,a,15605,a)]. 15608 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(65,a,13978,a(flip),b,15606,a),flip(a)]. 15609 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),15602(a,2,2))]. 15610 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(290,a,8038,a(flip),b,15590,a),flip(a)]. 15611 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(65,a,15559,a(flip),b,15610,a),flip(a)]. 15613 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(290,a,15555,a(flip),b,15611,a),flip(a)]. 15614 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(14956,a,15613,a)]. 15615 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(249(a,1),15613(a,1,2,2,2))]. 15616 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(290,a,14852,a(flip),b,15615,a),flip(a)]. 15618 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(65,a,15321,a(flip),b,15616,a),flip(a)]. 15620 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(100(a,1),15618(a,1,2,2)),flip(a)]. 15621 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(65,a,14856,a,b,15620,a)]. 15622 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(14953,a,15621,a),flip(a)]. 15623 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(13167,a,15621,a)]. 15624 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(14953,a,15622,a),flip(a)]. 15625 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(14958,a,15624,a),flip(a)]. 15626 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(14956,a,15624,a)]. 15627 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(65,a,15584,a(flip),b,15624,a),flip(a)]. 15628 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(65,a,15614,a(flip),b,15627,a)]. 15629 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(290,a,14935,a(flip),b,15625,a),flip(a)]. 15630 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(290,a,11270,a(flip),b,15623,a),flip(a)]. 15631 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(290,a,15594,a(flip),b,15630,a),flip(a)]. 15632 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8081,a,15631,a)]. 15633 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(12758(a,1),15632(a,1,2)),flip(a)]. 15634 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5731(a,1),15629(a,1,2,2,2))]. 15635 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(14955,a,15634,a)]. 15637 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(65,a,15635,a(flip),b,15628,a)]. 15638 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(65,a,15608,a(flip),b,15637,a),flip(a)]. 15639 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(65,a,13878,a(flip),b,15638,a)]. 15640 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(65,a,15514,a,b,15639,a)]. 15641 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(15640(a,1),15436(a,1,1)),flip(a)]. 15642 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(290,a,13736,a,b,15633,a),flip(a)]. 15643 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(7428(a,1),15641(a,2,2))]. 15645 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(290,a,9334,a(flip),b,15643,a),flip(a)]. 15646 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(8802(a,1),15645(a,2,1))]. 15647 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(290,a,13812,a(flip),b,15646,a),flip(a)]. 15648 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(14972(a,1),15647(a,1,2))]. 15649 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7428(a,1),15648(a,1,3))]. 15650 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11534,a,15649,a)]. 15651 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(167(a,1),15650(a,1,2,1))]. 15652 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(65,a,15642,a,b,15651,a)]. 15653 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(65,a,15530,a(flip),b,15651,a)]. 15654 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(290,a,13721,a,b,15653,a),flip(a)]. 15655 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7415(a,1),15652(a,2,3))]. 15656 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(12970(a,1),15655(a,1,2,2,2,1))]. 15657 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(13999(a,1),15656(a,1,2))]. 15658 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(12945(a,1),15657(a,1,2))]. 15659 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(5851(a,1),15658(a,1,2,2,1))]. 15660 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(65,a,15626,a(flip),b,15659,a)]. 15661 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(14900,a,15660,a)]. 15663 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6759(a,1),15661(a,2,3,2))]. 15664 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(14844(a,1),15663(a,2,3))]. 15665 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(65,a,15604,a(flip),b,15664,a)]. 15667 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(78(a,1),15665(a,1,3,2,1))]. 15668 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15560(a,1),15667(a,1,3))]. 15669 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7411(a,1),15668(a,1,3))]. 15670 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15001(a,1),15669(a,1,3))]. 15671 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(65,a,13755,a(flip),b,15670,a),flip(a)]. 15672 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7429(a,1),15671(a,1,3))]. 15673 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(65,a,15518,a,b,15672,a)]. 15674 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(65,a,15654,a(flip),b,15673,a),flip(a)]. 15675 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7411(a,1),15674(a,2,3))]. 15676 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(15603,a,15675,a)]. 15677 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7415(a,2),15676(a,2,3))]. 15678 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(65,a,15609,a(flip),b,15677,a)]. 15679 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8039(a,1),15678(a,1,3))]. 15680 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7429(a,1),15679(a,2,3))]. 15681 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(65,a,15675,a(flip),b,15680,a),flip(a)]. 15682 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15681(a,1),13732(a,1,1))]. 15683 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7411(a,1),15682(a,1,2))]. 15684 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13874,a,15683,a),flip(a)]. 15685 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8201,a,15684,a)]. 15686 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(290,a,15589,a(flip),b,15685,a),flip(a)]. 15687 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(772(a,1),15685(a,1,2,2)),flip(a)]. 15688 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6170(a,1),15685(a,1,2)),flip(a)]. 15689 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(15570,a,15686,a)]. 15691 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(15688(a,2),8060(a,1))]. 15692 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(290,a,13450,a,b,15687,a),flip(a)]. 15693 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(290,a,15689,a(flip),b,15692,a),flip(a)]. 15694 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(290,a,15556,a(flip),b,15693,a),flip(a)]. 15697 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(7597(a,1),15694(a,2,2))]. 15698 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(290,a,13445,a(flip),b,15697,a),flip(a)]. 15701 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(65,a,14022,a(flip),b,15698,a)]. 15702 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(15691,a,15701,a),flip(a)]. 15706 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6079(a,1),15702(a,1,2)),flip(a)]. 15708 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(290,a,8047,a(flip),b,15706,a),flip(a)]. 15709 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(290,a,8038,a(flip),b,15706,a),flip(a)]. 15712 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(15706(a,2),8060(a,1))]. 15717 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(65,a,15684,a,b,15708,a)]. 15720 K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). [para(15708(a,1),7439(a,1,2))]. 15721 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(15708(a,1),8124(a,1,2))]. 15729 T(x,K(y,L(z,u,w))) = x * K(x,K(y,z)). [para(15709(a,1),4471(a,2,2))]. 15730 (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. [para(15709(a,1),8122(a,1,2))]. 15732 T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * ((v5 / T(y,L(x,z,u))) / (v5 / y)). [para(15709(a,1),12153(a,1,1)),flip(a)]. 15733 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(15709(a,1),13446(a,1,1))]. 15738 a(x,y,K(z,K(u,w))) = 1. [hyper(55,a,15717,a)]. 15739 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(15717(a,1),14405(a,1,1)),flip(a)]. 15740 a(x,y,K(K(z,u),w)) = 1. [hyper(13783,a,15738,a)]. 15743 a(K(x,y),z,K(u,w)) = 1. [hyper(65,a,13688,a,b,15738,a)]. 15748 K(a(x,y,K(z,u)),w) = 1. [hyper(13071,a,15740,a)]. 15751 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(54,a,15743,a)]. 15754 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(58,a,15748,a)]. 15755 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(11541,a,15751,a)]. 15756 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11458,a,15751,a)]. 15758 R(K(x,y),z,K(u,w)) = K(x,y). [hyper(65,a,14398,a,b,15751,a)]. 15759 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(65,a,6115,a(flip),b,15751,a),flip(a)]. 15760 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(15751(a,1),94(a,1,2))]. 15763 K(x,T(y * (z * u),K(w,L(u,z,y))) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). [hyper(65,a,14525,a(flip),b,15756,a)]. 15765 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(4846(a,1),15756(a,1,2))]. 15766 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6380(a,1),15756(a,1,2))]. 15767 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(15758(a,1),500(a,1,1,1)),flip(a)]. 15768 T(x,a(y,z,K(u,w))) = x. [hyper(56,a,15754,a)]. 15770 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [para(15754(a,1),213(a,1,2))]. 15772 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(15768(a,1),268(a,1,2))]. 15773 T(x,K(y,a(z,u,w))) = x. [para(12776(a,1),15768(a,1,2))]. 15775 T(x,K(a(y,z,u),w)) = x. [para(13049(a,1),15768(a,1,2))]. 15776 T(x,T(a(y,z,u) \ 1,w)) = T(x,a(y,z,u) \ 1). [hyper(8069,a,15773,a)]. 15777 T(x,T(a(y,z,u),w)) = T(x,a(y,z,u)). [hyper(7963,a,15773,a)]. 15778 (x \ y) * K(a(z,u,w),x) = T(x,a(z,u,w)) \ y. [hyper(7822,a,15773,a)]. 15782 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(15773(a,1),14586(a,1,2,1,2))]. 15783 K(a(x,y,z),u) * (w \ 1) = w \ a(x,y,K(z,u)). [hyper(13166,a,15775,a)]. 15786 T(x,K(a(y,z,u),w)) != v5 | x = v5. [para(15775(a,1),51(a,2))]. 15787 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(7914(a,1),15786(a,1))]. 15788 K(x \ (T(y,z) \ u),L(w,x,y)) = K((T(y,z) * x) \ u,w). [hyper(65,a,11466,a(flip),b,15766,a),flip(a)]. 15789 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(106(a,1),15766(a,1,2,3)),flip(a)]. 15790 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(290,a,4471,a,b,15729,a),flip(a)]. 15791 T(x,K(y,L(z / u,w,v5))) = x * K(x,K(y,u \ z)). [para(13450(a,1),15729(a,2,2))]. 15792 T(T(x,y),K(y,z)) = T(x,T(y,L(z,u,w))). [hyper(7960,a,15790,a),flip(a)]. 15794 T(x,K(y,L(z / u,w,v5))) = T(x,K(y,u \ z)). [hyper(290,a,14604,a(flip),b,15790,a),flip(a)]. 15795 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(65,a,8148,a,b,15790,a)]. 15796 T(x * (y * K(z,u)),K(z,u)) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). [hyper(65,a,11582,a(flip),b,15790,a),flip(a)]. 15797 T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). [para(480(a,1),15790(a,1,2,2)),flip(a)]. 15799 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(15790(a,1),14584(a,1,2,1,2))]. 15801 (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(15795(a,1),8773(a,1,1,1))]. 15802 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [hyper(7960,a,15792,a),flip(a)]. 15803 T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. [para(15802(a,1),7185(a,1,1))]. 15804 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(7249,a,15803,a),flip(a)]. 15805 K(x * R(y,z,u),T(w,y)) = K(R(y,z,u) * x,w). [hyper(14380,a,15804,a),flip(a)]. 15808 L(x,y,z) * K(u,T(w,x)) != v5 | K(u,w) * L(x,y,z) = v5. [para(15804(a,1),7145(a,1,2))]. 15809 K(x * R(y,z,u),T(w,y)) != v5 | K(R(y,z,u) * x,w) = v5. [para(15804(a,1),14380(a,1))]. 15810 K(x,K(y,z \ (u * w))) != v5 | K(x,K(y,(u \ z) \ w)) = v5. [para(480(a,1),15712(a,1,2,2))]. 15811 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8118(a,2),15712(a,1))]. 15812 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(13667(a,1),15770(a,1,1))]. 15815 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [para(9079(a,1),15812(a,1,1)),flip(a)]. 15816 a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z). [hyper(290,a,13693,a(flip),b,15815,a),flip(a)]. 15817 x / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)). [para(15815(a,1),9078(a,1,2))]. 15819 a(T(x \ y,y),z,K(u,w)) = v5 / (v5 * a(w,z,K(u,y / x))). [para(7521(a,1),15817(a,1,2,2,3)),flip(a)]. 15820 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(15817(a,1),9082(a,1))]. 15821 a(x,y,K(z \ (u / w),z)) != v5 | a(z,y,K(x,u / (z * w))) = v5. [para(10877(a,1),15820(a,1,3))]. 15823 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13651(a,2),15820(a,1))]. 15825 a(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(13689(a,1),15820(a,1))]. 15827 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(12778(a,2),15823(a,1))]. 15828 a(x,y,K(z,u)) != w | a(z,y,K(x,u)) = w. [para(13688(a,1),15823(a,1))]. 15829 a(x,y,K(z,u * K(w,v5))) != v6 | a(K(v5,w) * u,y,K(z,x)) = v6. [para(14727(a,1),15825(a,1,3))]. 15831 a(T(x,y),z,K(u,T(w,y))) != v5 | a(x,z,K(u,w)) = v5. [para(13653(a,2),15827(a,1))]. 15833 T(x,K(y,z / (u * w))) = T(x,K(y,u \ (z / w))). [para(14393(a,1),15794(a,1,2))]. 15835 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [hyper(617,a,15721,a)]. 15836 L(K(x,K(y,z)) \ ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(15721(a,1),273(a,2,1))]. 15839 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(15733(a,2),14(a,2,1,2)),flip(a)]. 15841 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13364(a,2),15733(a,2,2))]. 15844 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(15721(a,1),15733(a,2,2))]. 15845 L(x,y,K(z,K(u,w))) = x. [hyper(4287,a,15739,a)]. 15846 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(617,a,15739,a)]. 15847 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(290,a,15733,a(flip),b,15739,a),flip(a)]. 15849 K(x,K(y,z)) * ((x \ u) * w) = (T(x,K(y,z)) \ u) * w. [para(7456(a,1),15739(a,1,1)),flip(a)]. 15850 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(13364(a,1),15739(a,1,1))]. 15851 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6379,a,15845,a)]. 15852 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(586,a,15845,a),flip(a)]. 15853 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(15845(a,1),52(a,2))]. 15854 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(15845(a,1),13451(a,1,2,2,1))]. 15855 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(65,a,12050,a(flip),b,15851,a),flip(a)]. 15856 L(x,y,z * (u * K(z,w))) = L(x,y,T(z,w) * u). [para(7797(a,1),15851(a,1,3)),flip(a)]. 15857 L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). [para(7914(a,1),15851(a,1,3))]. 15858 L(x,y,T(T(z,u) / w,z)) = L(x,y,w \ T(z,u)). [hyper(65,a,12055,a(flip),b,15857,a),flip(a)]. 15861 L(x,y,K(z,u * u) * (w * v5)) = L(x,y,w * (v5 * K(z,u * u))). [para(11503(a,1),15855(a,2,3))]. 15862 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(14654,a,15759,a)]. 15864 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(290,a,7111,a(flip),b,15760,a),flip(a)]. 15865 T((K(x,y) * K(z,u)) \ (K(x,y) * (w * K(z,u))),K(x,y)) = R(T(w,K(x,y) * K(z,u)),K(x,y),K(z,u)). [para(15760(a,1),1289(a,1,1,2))]. 15866 K(x,T(y,z)) * (z * K(u,w)) = (z * K(x,y)) * K(u,w). [para(7511(a,1),15760(a,1,1)),flip(a)]. 15869 K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). [para(12937(a,1),15760(a,1,1)),flip(a)]. 15870 K(x,(y * K(z,u)) \ w) = K(x,y \ (K(u,z) * w)). [hyper(14651,a,15765,a)]. 15871 R(T(x,x * T(a(y,z,u) \ 1,w)),T(a(y,z,u) \ 1,w),x) = T(x,a(y,z,u) \ 1). [hyper(65,a,3598,a,b,15776,a)]. 15872 (x \ y) * a(z,u,K(w,x)) = T(x,a(z,u,w)) \ y. [para(13049(a,2),15778(a,1,2))]. 15873 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [para(13049(a,2),15783(a,1,1))]. 15874 T(x,K(y,(z \ u) \ w)) = T(x,K(y,u * (z * w))). [hyper(290,a,13320,a(flip),b,15797,a),flip(a)]. 15875 K(K(x,R(y,z,u)) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). [hyper(290,a,7544,a(flip),b,15805,a),flip(a)]. 15876 L((x \ y) * K(z,K(u,w)),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(15835(a,1),13488(a,1,1))]. 15877 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(15721(a,1),15835(a,1,2))]. 15879 K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. [para(7411(a,1),15846(a,1,1))]. 15880 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(290,a,15841,a(flip),b,15850,a),flip(a)]. 15881 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(15850(a,2),14613(a,1,2))]. 15882 K(x,(y * (K(z,u) * w)) * v5) = K(x,(y * (w * K(z,u))) * v5). [para(7712(a,1),15881(a,1,2,1)),flip(a)]. 15883 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(7454(a,2),15852(a,2,2))]. 15884 L(x,y,z \ T(u,z \ 1)) = L(x,y,u / z). [hyper(65,a,13829,a(flip),b,15858,a),flip(a)]. 15885 K(x \ (K(y,z) * u),T(w,x)) = K(u / (x * K(z,y)),w). [hyper(14809,a,15862,a),flip(a)]. 15886 K(x,(y * (z \ u)) \ (K(z \ u,z) * w)) = K(x,(y * (u / z)) \ w). [para(5903(a,1),15870(a,1,2,1)),flip(a)]. 15888 (a(x,y,z) \ 1) \ a(u,w,K(v5,v6)) = a(u,w,K(v5,v6)) * a(x,y,z). [para(12645(a,1),15873(a,1,2)),flip(a)]. 15889 T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z * w))). [hyper(13321,a,15874,a)]. 15890 K(x,K(y,z)) \ u != (K(y,K(x,z)) \ w) * v5 | w * v5 = u. [para(15879(a,1),49(a,1)),flip(a)]. 15891 L(x,K(y,K(z,u)),w) = x. [hyper(459,a,15880,a)]. 15892 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(121,a,12,a(flip),b,15880,a),flip(a)]. 15893 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(120,a,74,a(flip),b,15880,a)]. 15895 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. [para(15880(a,1),463(a,1,1))]. 15896 L(x,K(y,K(z,u)),w) != v5 | x = v5. [para(15891(a,1),52(a,2))]. 15897 L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(15891(a,1),13490(a,1,1))]. 15898 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(15891(a,1),13452(a,1,2,2,1))]. 15899 T(T(x,y),K(y,z * (u * w))) = T(x,T(y,T(z / u,z) * w)). [hyper(12336,a,15889,a),flip(a)]. 15900 x / (K(y,K(z,u)) * w) = (x / w) * K(y,K(z,u)). [para(7455(a,1),15892(a,1,1,2)),flip(a)]. 15901 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(13443(a,2),15893(a,1,1))]. 15902 x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(u,y)). [para(7415(a,1),15900(a,1,2,1))]. 15903 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(15901(a,2),14615(a,1,2))]. 15904 K(x,(y * T(z,K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(13486(a,1),15903(a,1,2,1))]. 15905 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(15883(a,1),15903(a,1,2))]. 15906 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [para(13486(a,1),15905(a,1,2,2))]. 15907 K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). [para(7914(a,1),15904(a,1,2,1,2))]. 15908 K(x,y \ (z * T(u,T(w,v5)))) = K(x,y \ (z * T(u,w))). [para(7914(a,1),15906(a,1,2,2,2))]. 15909 (1 / x) * a(y,z,K(u,w)) = a(y,z,K(u,w)) / x. [hyper(15772,a,13109,a)]. 15911 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(15815(a,1),15772(a,1))]. 15913 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [hyper(14492,a,15791,a)]. 15914 K(x,K(y,z \ (u / w))) = K(x,K(y,(z * w) * u)). [hyper(13325,a,15913,a),flip(a)]. 15915 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,y \ (z / u))). [para(15913(a,1),14502(a,2,2))]. 15917 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (w / u))). [hyper(13325,a,15914,a),flip(a)]. 15918 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u \ w))). [hyper(290,a,14860,a(flip),b,15917,a),flip(a)]. 15919 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (u \ w))) = v5. [para(15917(a,2),14957(a,1))]. 15920 K(x,K(y,T(z * u,w) * v5)) = K(x,K(y,z * (u \ v5))). [hyper(14888,a,15918,a)]. 15921 K(x,K(y * z,y * (u \ z))) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(15918(a,1),8012(a,1,1))]. 15922 K(x,K(y,(z \ 1) * (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). [para(15918(a,1),14048(a,1,1))]. 15924 K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). [hyper(290,a,7144,a,b,15720,a),flip(a)]. 15925 (T(x,K(y,z)) \ u) * z = (x \ u) * T(z,K(x,y)). [hyper(13456,a,15849,a),flip(a)]. 15926 (x \ R(T(x,K(y,z)),u,x)) * z = (x \ R(x,u,x)) * T(z,K(x,y)). [para(9959(a,1),15925(a,1,1))]. 15927 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(14803,a,15864,a)]. 15934 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(4492(a,1),15927(a,1,2)),flip(a)]. 15937 (x * K(y,z)) * K(u,w) = (x * K(u,w)) * K(y,z). [hyper(65,a,14814,a(flip),b,15866,a)]. 15942 ((x * K(y,z)) * K(u,w)) \ (x * K(u,w)) = K(z,y). [para(15937(a,1),6732(a,1,1))]. 15944 x * K(y,z) != u * K(w,v5) | (u * K(z,y)) * K(w,v5) = x. [para(15942(a,1),135(a,1,2)),flip(b)]. 15946 K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). [hyper(13115,a,15869,a)]. 15948 a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a((K(x,y) / z) * K(y,x),u,w). [para(15946(a,1),13997(a,2,1))]. 15949 K((K(x,y) * z) / u,w) = K(z / (u * K(y,x)),w). [hyper(7641,a,15885,a)]. 15950 K(x / (L(y,x / y,K(z,u)) * K(u,z)),w) = K(K(z,u) * (x / y),w). [para(544(a,1),15949(a,1,1)),flip(a)]. 15951 K(x,((T(y,z) \ 1) * T(u,y)) \ w) = K(x,(u * (T(y,z) \ 1)) \ w). [hyper(65,a,15154,a(flip),b,15907,a),flip(a)]. 15952 K(x,K(y,T(z * u,w) * v5)) = K(x,y) * K(y,T(x,z * (u \ v5))). [hyper(290,a,7434,a,b,15920,a),flip(a)]. 15953 K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) = T(K(x,L(T(y,v5),u,w)),z). [para(15924(a,1),14776(a,1,1)),flip(a)]. 15954 (K(x,y) * (K(z,u) * x)) \ (K(z,u) * (T(x,y) * w)) = L(L(w,x,K(z,u)),K(z,u) * x,K(x,y)). [para(15934(a,1),453(a,1,2))]. 15957 K((x * ((x * y) / x)) \ z,u) = K(y \ (T(x,y) \ z),L(u,y,x)). [para(3472(a,1),15788(a,2,1,1)),flip(a)]. 15959 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u * (z * w))). [hyper(15810,a,13306,a)]. 15961 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z * w))). [hyper(13325,a,15959,a)]. 15962 K(x,K(y,(z / u) * w)) = K(x,K(y,z * (u * w))). [hyper(65,a,14853,a,b,15961,a)]. 15963 K(x,K((y / z) \ 1,u * (w \ v5))) = K(x,K(z / y,v5 * (w * u))). [hyper(65,a,14905,a,b,15962,a)]. 15964 K(x,K(y,z * ((u \ z) * w))) = K(x,K(y,u * w)). [para(78(a,1),15962(a,1,2,2,1)),flip(a)]. 15965 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(15775(a,1),15782(a,1,2)),flip(a)]. 15966 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(290,a,22,a,b,15965,a),flip(a)]. 15968 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(12776(a,2),15966(a,1,2,1))]. 15969 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(15815(a,1),15968(a,1,2))]. 15970 T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). [para(86(a,1),15969(a,1,2))]. 15971 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(15969(a,1),13480(a,1,2,1))]. 15972 T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). [para(13652(a,1),15969(a,1,2))]. 15973 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [hyper(65,a,13360,a,b,15970,a)]. 15974 T(x,y * ((z / u) * K(z,u))) = T(x,y * (T(z,u) / u)). [para(11547(a,1),15970(a,1,2)),flip(a)]. 15976 K(x,((K(y,z) * u) * w) \ T(v5,K(y,z) * (u * w))) != v6 | K(x,v5 / ((K(y,z) * u) * w)) = v6. [para(15972(a,1),12371(a,1,2,2))]. 15977 T(x,K(y,z) * (u * (1 / w))) = T(x,u * (K(y,z) / w)). [hyper(290,a,14611,a(flip),b,15973,a),flip(a)]. 15978 T(x,(y \ z) * (u * K(y,y \ z))) = T(x,(z / y) * u). [para(5070(a,1),15973(a,1,2)),flip(a)]. 15979 T(x,K(y,z) * (u * (w * y))) = T(x,u * (w * T(y,z))). [para(5732(a,1),15973(a,2,2,2))]. 15980 T(x,K(y / z,z) * (u * (w * (y / z)))) = T(x,u * (w * (z \ y))). [para(5733(a,1),15973(a,2,2,2))]. 15981 K(x,T(y,z * (u * K(w,v5)))) != v6 | K(x,T(y,z * u)) = v6. [para(15973(a,1),14793(a,1,2))]. 15982 T(x,y * (T(z,u) / u)) = T(x,y * (z / T(u,z))). [para(6735(a,1),15974(a,1,2,2)),flip(a)]. 15983 T(x,y * T(1 / z,u)) = T(x,y * (K(z,u) / z)). [hyper(15095,a,15977,a)]. 15984 T(x,y * T(z \ 1,u)) = T(x,y * (K(z,u) / z)). [hyper(65,a,4115,a(flip),b,15983,a)]. 15985 T(x,y * T(z \ 1,u)) = T(x,y * (z \ K(z,u))). [hyper(290,a,15280,a(flip),b,15984,a),flip(a)]. 15986 T(x,(y / z) * (u * (z \ y))) = T(x,(z \ y) * (u * (y / z))). [para(5903(a,1),15978(a,1,2,2)),flip(a)]. 15987 T(x,y * T(z * u,z)) = T(x,y * (z * T(u,z))). [hyper(15012,a,15979,a)]. 15988 T(x,y * (z * T(u,a(w,v5,v6)))) = T(x,y * (z * u)). [hyper(65,a,15966,a(flip),b,15979,a),flip(a)]. 15989 T(x,y * (z * T(u,w * w))) = T(x,y * (z * u)). [hyper(65,a,15059,a(flip),b,15979,a),flip(a)]. 15990 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [para(104(a,1),15987(a,2,2,2))]. 15991 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [para(10(a,1),15990(a,1,2,2,1)),flip(a)]. 15992 T(x,y * T((z * u) * (1 / u),z * (u \ 1))) = T(x,y * (u * (z * (u \ 1)))). [para(1010(a,1),15990(a,1,2,2,1))]. 15993 K(x,T(y,z * (u * w)) * (z * T(w * u,w))) = K(x,(z * T(w * u,w)) * y). [para(15990(a,1),11027(a,1,2,1))]. 15994 T(x,T(y,z * u) * (z * u)) = T(x,((z \ 1) * u) * ((z * z) * y)). [hyper(65,a,15062,a(flip),b,15989,a),flip(a)]. 15997 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. [para(15844(a,1),868(a,1,2))]. 15998 K(x,(y * ((z / u) * K(z,u))) * w) = K(x,(y * (T(z,u) / u)) * w). [para(4908(a,1),15882(a,1,2,1,2)),flip(a)]. 15999 T(x,T(y,T(z / u,z) * w)) = T(x,T(y,z * (u * w))). [hyper(7960,a,15899,a),flip(a)]. 16000 T(x,T(y,(z \ u) * w)) = T(x,T(y,u * (z * w))). [para(12345(a,1),15999(a,1,2))]. 16001 T(x,T(y \ z,z * (y * u))) = T(x,T(y \ z,u)). [hyper(65,a,8337,a(flip),b,16000,a),flip(a)]. 16002 T(x / (y / z),T(z \ y,x)) = T((y / z) \ x,K(y,z)). [hyper(65,a,13603,a(flip),b,16001,a),flip(a)]. 16003 K(K(x,L(y,z,u)) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). [para(14390(a,1),15875(a,1,1,1))]. 16004 K((T(x,y) * y) \ z,u) = K((x * ((x * y) / x)) \ z,u). [hyper(290,a,15788,a(flip),b,15957,a)]. 16005 T(x,K(((y \ z) * y) / (u * y),w)) = T(x,K(w,y \ (z / u))). [hyper(290,a,4471,a,b,15915,a),flip(a)]. 16006 T(x,K(y,((z \ u) * z) / (w * z))) = T(x,K(y,z \ (u / w))). [hyper(7498,a,16005,a)]. 16007 T(x,K(y,z \ (((u \ w) * u) / u))) = T(x,K(y,u \ (w / z))). [hyper(65,a,15833,a(flip),b,16006,a)]. 16008 T(x,K(y,z \ (u \ w))) = T(x,K(y,u \ (w / z))). [para(11(a,1),16007(a,1,2,2,2))]. 16009 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [para(11(a,1),16008(a,2,2,2,2))]. 16011 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(120,a,16009,a(flip),b,4471,a(flip)),flip(a)]. 16012 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(290,a,4412,a,b,16011,a),flip(a)]. 16013 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(12(a,1),16012(a,1,2,2,2,2))]. 16014 (x \ R(T(x,K(y,z)),y,x)) * z = K(x,y) * (z * K(x * y,x)). [hyper(290,a,9074,a(flip),b,15926,a),flip(a)]. 16015 T((x \ R(x,y,x)) * z,K(x,y)) = K(x,y) * (z * K(x * y,x)). [hyper(65,a,14563,a,b,16014,a)]. 16016 K(x,y) * (z * K(x * y,x)) = T(a(x,y,x) * z,K(x,y)). [para(8398(a,1),16015(a,1,1,1)),flip(a)]. 16017 K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,(z * u) \ w)). [hyper(14882,a,15952,a),flip(a)]. 16018 K(x,y) * K(y,T(x,z * ((u \ w) \ v5))) = K(x,K(y,(z * (w / u)) \ v5)). [para(14829(a,1),16017(a,1,2))]. 16019 K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) != v6 | K(x,L(T(T(y,v5),z),u,w)) = v6. [para(15953(a,2),7758(a,1))]. 16020 K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y \ z,(w * u) * y)). [para(10982(a,1),15963(a,2,2))]. 16021 T(x,K(y * z,y) * (u * (w * (z / y)))) = T(x,u * (w * (y \ z))). [hyper(15161,a,15980,a)]. 16022 T(x,((y \ 1) * z) * ((y * y) * u)) = T(x,(y * z) * u). [hyper(11039,a,15994,a),flip(a)]. 16024 T(x,(y * T(z,y * y)) * u) = T(x,(y * z) * u). [para(988(a,1),16022(a,1,2))]. 16025 K(x,(y * (T(z,u) / u)) * w) = K(x,(y * (z / T(u,z))) * w). [para(6735(a,1),15998(a,1,2,1,2)),flip(a)]. 16026 K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y \ z,w * (u \ y))). [hyper(290,a,15918,a(flip),b,16020,a),flip(a)]. 16027 T(x,(y * (z * (u / w))) * K(u,w)) = T(x,y * (z * (w \ u))). [hyper(15011,a,16021,a)]. 16028 T(x,y * ((z * (u / w)) * K(u,w))) = T(x,y * (z * (w \ u))). [hyper(65,a,15970,a(flip),b,16027,a)]. 16029 T(x,y * (z * (T(u,w) / w))) = T(x,y * (z * (w \ u))). [para(11547(a,1),16028(a,1,2,2))]. 16030 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(T(y,z \ y) / T(z,y)) * (y * (z \ y))). [hyper(65,a,12413,a(flip),b,16029,a)]. 16031 T(x,y * (z * ((u \ w) / u))) = T(x,y * (z * (u \ (w / u)))). [para(106(a,1),16029(a,1,2,2,2,1))]. 16032 K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y * z,w * (u \ y))). [hyper(290,a,13316,a(flip),b,16026,a),flip(a)]. 16033 K(x,K(y / z,u * (w \ z))) = K(x,K(z * y,w * (u \ z))). [para(5195(a,1),16032(a,1,2))]. 16034 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(15853,a,15876,a),flip(a)]. 16036 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(15841(a,1),16034(a,1,1))]. 16038 T(x * (y * K(z,u)),K(z,u)) = K(L(u,y,x),z) \ (x * y). [para(11460(a,1),15796(a,2,1))]. 16039 T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). [hyper(290,a,4811,a(flip),b,16038,a),flip(a)]. 16040 T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). [hyper(290,a,14403,a(flip),b,16039,a),flip(a)]. 16041 K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. [para(16039(a,1),13400(a,1,2))]. 16042 K(((K(x,y) * z) * T(u,z)) * K(x,y),w) != v5 | K(K(x,y) * (u * (z * K(x,y))),w) = v5. [para(16040(a,1),11043(a,1,1,1))]. 16043 K(x,y / ((K(z,u) * w) * T(v5,w))) != v6 | K(x,y / (v5 * (w * K(z,u)))) = v6. [para(16040(a,1),14653(a,1,2,2))]. 16044 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(15790(a,1),15799(a,1,2)),flip(a)]. 16045 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(290,a,14584,a(flip),b,16044,a),flip(a)]. 16047 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(13377,a,16045,a)]. 16048 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(10116(a,1),16045(a,1,2,1))]. 16049 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(16047(a,1),4408(a,2,2))]. 16050 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [para(10116(a,1),16047(a,1,2,2))]. 16051 K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). [hyper(120,a,16048,a(flip),b,4471,a(flip)),flip(a)]. 16052 K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). [para(16048(a,1),4408(a,2,2))]. 16053 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(290,a,4408,a,b,16049,a),flip(a)]. 16054 K(x * K(L(y,z,u),w),v5) = K(x * K(y,w),v5). [hyper(290,a,13407,a(flip),b,16053,a),flip(a)]. 16055 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(6087(a,1),16053(a,1,1,2))]. 16056 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(65,a,15364,a(flip),b,16054,a),flip(a)]. 16058 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(290,a,4412,a,b,16051,a),flip(a)]. 16059 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(16051(a,2),4544(a,1))]. 16060 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(16041,a,16058,a),flip(a)]. 16061 K(x,K((y * z) \ u,w) * v5) = K(x,K(z \ (y \ u),w) * v5). [para(11466(a,1),16058(a,1,2,1))]. 16062 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [para(14401(a,1),16058(a,1,2))]. 16063 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(16058(a,1),16041(a,1))]. 16064 K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). [hyper(14734,a,16060,a),flip(a)]. 16065 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). [hyper(14725,a,16060,a)]. 16066 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [hyper(13421,a,16060,a)]. 16067 K(x,K(y,z) * (u * (w * y))) = K(x,u * (w * T(y,z))). [para(5732(a,1),16060(a,2,2,2))]. 16068 K(x,K(y \ z,y) * (u * (w * (z / y)))) = K(x,u * (w * (y \ z))). [para(5978(a,1),16060(a,2,2,2))]. 16069 K(x,K(y,z) * (u * (w * K(z,y)))) = K(x,u * w). [para(6723(a,1),16060(a,2,2,2))]. 16070 K(x,K(y,z) * (u * (w / z))) = K(x,u * (w / T(z,y))). [para(6735(a,1),16060(a,2,2,2))]. 16071 K(x,K(y,z) * (u * (w \ 1))) = K(x,u * (w \ K(y,z))). [para(12808(a,1),16060(a,2,2,2))]. 16072 K(x,y * (z * K(u,w))) != v5 | K(x,K(w,u) * (y * z)) = v5. [para(16060(a,1),14725(a,1))]. 16073 K(x,((y \ 1) * K(z,y \ 1)) * u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). [hyper(65,a,13955,a,b,16064,a)]. 16074 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [para(4434(a,2),16064(a,1,2,2))]. 16075 K(x,y * T(T(z,u),u)) = K(x,y * z). [para(4514(a,1),16064(a,1,2,2)),flip(a)]. 16076 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(4488(a,1),16064(a,1,2,2)),flip(a)]. 16077 K(x,T(y,z * u) * (z \ u)) = K(x,(z \ u) * y). [hyper(65,a,15120,a(flip),b,16075,a)]. 16078 K(x,y * T((z \ 1) * (u * z),z)) = K(x,y * (z * ((1 / z) * u))). [para(2069(a,1),16075(a,1,2,2,1))]. 16079 K(x,T(y,T(z,u)) * T(z,u)) = K(x,((u * z) / u) * y). [hyper(11062,a,16074,a),flip(a)]. 16080 K(x,y * ((z * L(u,w,v5)) / z)) = K(x,y * L(T(u,z),w,v5)). [para(25(a,2),16074(a,2,2,2))]. 16081 K(x,y * T(z \ T(u,z),z)) = K(x,y * (u / T(z,u))). [para(3601(a,1),16076(a,2,2,2))]. 16082 K(x,K(y,z) * ((u \ 1) * w)) = K(x,(u * K(z,y)) \ w). [hyper(14943,a,16062,a),flip(a)]. 16083 K(x,K(y,z) * (T(u,K(y,z)) * w)) = K(x,(u * K(y,z)) * w). [para(104(a,1),16062(a,1,2,1)),flip(a)]. 16084 K(x,K(y,z) * ((1 / u) * w)) = K(x,(K(y,z) / u) * w). [para(12937(a,1),16062(a,1,2,1)),flip(a)]. 16085 K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,K(a(y,z,u),w) * (v5 * v6)). [para(13049(a,2),16062(a,1,2,1,1))]. 16086 K(x,K(y,K(z,u) * (w * v5))) * K(x,((K(z,u) * w) * v5) * y) = K(x,y * ((K(z,u) * w) * v5)). [para(16062(a,1),13922(a,1,1,2))]. 16087 K(x,K(y,L(z,u,w)) * ((u * w) * v5)) = K(x,((K(y,z) * u) * w) * v5). [para(14401(a,1),16062(a,1,2,1)),flip(a)]. 16089 K(x,K(y,z)) * K(x,K(u,w) * (z * y)) = K(x,y * (K(u,w) * z)). [para(16062(a,1),14857(a,1,2))]. 16090 K(x,K(y,z)) * K(x,K(u,w) * (z * (y * K(w,u)))) = K(x,(y * K(u,w)) * (K(w,u) * z)). [para(16062(a,1),15447(a,1,2))]. 16091 K(x,y * (z * K(u,u * w))) = K(x,K(w,u) * (y * z)). [hyper(15015,a,16065,a),flip(a)]. 16092 K(x,y * (z * K(u,y))) = K(x,T(y,u) * z). [para(4492(a,1),16065(a,1,2)),flip(a)]. 16093 K(x,K(y,z) * (u * (w * z))) = K(x,u * (w * T(z,y))). [para(5732(a,1),16065(a,2,2,2))]. 16094 K(x,K(y,z) * (u * (w / y))) = K(x,u * (w / T(y,z))). [para(6735(a,1),16065(a,2,2,2))]. 16095 K(x,K(y,z) * (u * (w \ K(y,z)))) = K(x,u * (w \ 1)). [para(12842(a,1),16065(a,2,2,2))]. 16096 K(x,y * (z * K(u,u * w))) != v5 | K(x,K(w,u) * (y * z)) = v5. [para(16065(a,1),15015(a,1))]. 16097 K(x,(y * z) * K(u * w,v5)) = K(x,y * (z * K(u \ w,v5))). [hyper(15180,a,16066,a)]. 16098 K(x,T(y,(z * z) * u) * (z \ ((1 / z) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). [para(677(a,1),16077(a,1,2,1,2))]. 16100 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(290,a,4408,a,b,16052,a),flip(a)]. 16102 K(K(x,y) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). [hyper(65,a,16003,a(flip),b,16100,a),flip(a)]. 16103 K(K(x,T((y * z) \ u,w)) * v5,v6) = K(K(x,T(z \ (y \ u),w)) * v5,v6). [para(559(a,1),16100(a,1,1,1,2))]. 16104 K(K((x * y) \ z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). [para(11466(a,1),16100(a,1,1,1))]. 16105 K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). [para(14401(a,1),16100(a,1,1))]. 16106 K(x * (K(y,z) * u),T(w,K(z,y) * u)) = K(K(y,z) * (u * x),w). [hyper(65,a,14716,a,b,16105,a)]. 16107 K(K(x,y) * (T(z,K(x,y)) * u),w) = K((z * K(x,y)) * u,w). [para(104(a,1),16105(a,1,1,1)),flip(a)]. 16108 K(K(x,y) * ((K(y,x) * z) * u),w) = K(z * u,w). [para(4837(a,1),16105(a,1,1,1)),flip(a)]. 16109 K(K(x,y) * (z * (u \ 1)),w) != v5 | K((K(x,y) * z) / u,w) = v5. [para(16105(a,1),13041(a,1))]. 16110 K(((K(x,y) * z) * u) * K(x,y),w) = K(z * u,w). [hyper(15379,a,16108,a)]. 16113 K(x,y * (K(z,u) * T(w,v5))) != v6 | K(x,y * T(K(z,u) * w,v5)) = v6. [para(16067(a,1),15334(a,1))]. 16114 K(x,y * ((z / u) * K(u,w))) = K(x,y * (z / T(u,w))). [hyper(65,a,16065,a(flip),b,16070,a)]. 16115 K(x,((y * z) / y) * u) = K(x,T(z,y) * u). [hyper(11060,a,16079,a),flip(a)]. 16116 K(x,((y * z) / y) * u) != w | K(x,T(z,y) * u) = w. [para(16079(a,1),11060(a,1))]. 16117 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(10(a,1),16115(a,1,2,1,1)),flip(a)]. 16119 K(((x * y) / x) * z,u) = (w * K(u,T(y,x) * z)) \ w. [para(16115(a,1),6732(a,1,1,2)),flip(a)]. 16120 K(x,L(((y * z) / y) * u,w,v5)) = L(K(x,T(z,y) * u),w,v5). [para(16115(a,1),11433(a,1,1)),flip(a)]. 16121 K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). [para(3594(a,1),16117(a,1,2,1))]. 16122 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [hyper(12344,a,16121,a)]. 16123 K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). [para(81(a,1),16122(a,1,2,1,1)),flip(a)]. 16126 K(x,(((1 / y) * z) / (((y \ 1) * z) / (y \ 1))) * u) = K(x,T(1 / y,(1 / y) * z) * u). [para(2557(a,1),16123(a,1,2,1,2))]. 16127 K(x,K(y,T(z,u) * w)) * K(x,y \ ((u / (u / z)) * w)) = K(x,((u / (u / z)) * w) / y). [para(16123(a,1),8006(a,1,1,2))]. 16128 K(x,y * (T(z,u) / u)) = K(x,y * (z / T(u,z))). [hyper(65,a,16076,a(flip),b,16081,a)]. 16129 K(x,K(y,z) * ((1 / u) * w)) = K(x,(K(z,y) / u) * w). [hyper(14725,a,16084,a)]. 16131 a(K(x,y) * (z * (u * y)),w,K(v5,v6)) = v7 / (v7 * a(v6,w,K(v5,z * (u * T(y,x))))). [para(16093(a,1),15817(a,1,2,2,3)),flip(a)]. 16132 K(x,K(y,z) * (u * (w / z))) = K(x,u * (w / T(z,K(v5,v6) * y))). [hyper(15329,a,16094,a)]. 16133 K(x,K(y,z) * (u * (w \ K(y,z)))) = K(x,u / w). [hyper(290,a,12973,a(flip),b,16095,a),flip(a)]. 16134 K(x,K(y,z) * (u * (w \ K(z,y)))) = K(x,u / w). [hyper(14725,a,16133,a)]. 16136 K(R(x,y,z) * K(u,x),w) = K(R(x,y,z),T(w,u)). [hyper(15809,a,16102,a)]. 16138 K(R(x,y,z) * K(u,x),w) != v5 | K(x,L(T(w,u),y,z)) = v5. [para(16136(a,2),14389(a,1))]. 16139 K(((x * y) / x) * z,u) = K(T(y,x) * z,u). [hyper(290,a,15942,a(flip),b,16119,a),flip(a)]. 16140 K(K(x,y) * (y * z),u) = K(T(y,x) * z,u). [para(4895(a,2),16139(a,1,1))]. 16141 K(x,K(y,z) * ((u \ 1) * w)) = K(x,(K(z,y) / u) * w). [hyper(65,a,5266,a(flip),b,16129,a)]. 16142 K(x,(K(y,z * K(u,w)) / v5) * v6) != v7 | K(x,K(z,y) * ((1 / v5) * v6)) = v7. [para(16129(a,1),15346(a,1))]. 16143 K(x,K(y,z) * ((u \ 1) * w)) = K(x,(u \ K(z,y)) * w). [hyper(290,a,14633,a(flip),b,16141,a),flip(a)]. 16144 K(x,(y * K(z,u)) \ w) = K(x,(y \ K(z,u)) * w). [hyper(65,a,16082,a(flip),b,16143,a)]. 16145 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(13406(a,1),16063(a,1))]. 16148 K(x,K((y * z) \ u,w) * v5) = K(x,K(z * (y \ u),w) * v5). [hyper(290,a,15101,a(flip),b,16061,a),flip(a)]. 16149 K(x,(y * z) * L(T(u,w),z,y)) = K(x,y * (z * ((w * u) / w))). [para(920(a,1),16080(a,1,2)),flip(a)]. 16150 K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (y * w)). [hyper(65,a,14665,a(flip),b,16083,a),flip(a)]. 16152 K(x,K(y,z) * ((u / z) * w)) = K(x,(u / T(z,y)) * w). [para(6735(a,1),16150(a,1,2,1)),flip(a)]. 16153 K(x,K(y,L(z,u,w)) * ((w * u) * v5)) = K(x,(w * (u * K(y,z))) * v5). [para(11445(a,1),16150(a,1,2,1)),flip(a)]. 16154 K(x * K(y * x,(z / T(u,w)) * v5),y) = K(x,T(y,K(w,u) * ((z / u) * v5))). [para(16152(a,1),13916(a,1,1,2))]. 16155 K(x * K(y,(z / T(u,w)) * v5),v6) = K(K((z / u) * v5,y) * x,v6). [para(16152(a,1),15355(a,1,1,2))]. 16156 K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). [hyper(16145,a,16097,a),flip(a)]. 16157 K(x,(y * (z / (u \ w))) * K(u * w,u)) = K(x,y * (z / (w / u))). [para(5932(a,1),16097(a,2,2,2))]. 16158 K(K(x \ (y \ z),u) * w,v5) = K(K((y * x) * z,u) * w,v5). [hyper(15112,a,16104,a),flip(a)]. 16159 K((x * K(y,z)) * u,w) = K(K(y,z) * (x * u),w). [hyper(14697,a,16107,a),flip(a)]. 16161 K(x * (y * K(z,u)),T(w,y)) = K(K(z,u) * (y * x),w). [hyper(65,a,14810,a,b,16159,a)]. 16162 1 / (x \ K(K(y,z) * (u * w),x)) = T(x,(u * K(y,z)) * w). [para(16159(a,1),4594(a,2,2,2)),flip(a)]. 16163 K(K(x,y) * ((z * x) * u),w) = K((z * T(x,y)) * u,w). [para(5732(a,1),16159(a,1,1,1)),flip(a)]. 16164 K(K(x,y) * ((z \ 1) * u),w) = K((z \ K(x,y)) * u,w). [para(12808(a,1),16159(a,1,1,1)),flip(a)]. 16165 K(x * (T(y,z) * K(u,w)),T(v5,y)) = K(K(u,w) * (T(y,z) * x),v5). [hyper(13432,a,16161,a)]. 16166 K(T(K(x,y) * z,u) * w,v5) = K((K(x,y) * T(z,u)) * w,v5). [hyper(65,a,15270,a(flip),b,16163,a)]. 16167 K(x,L(((y * z) / y) * u,w,v5)) = K(x,L(T(z,y) * u,w,v5)). [hyper(290,a,11433,a(flip),b,16120,a),flip(a)]. 16168 K(x,K((y * z) * u,w) * v5) = K(x,K(z * (y \ u),w) * v5). [hyper(15102,a,16148,a)]. 16169 K(x,y * (z * K(u * w,y))) = K(x,T(y,u \ w) * z). [hyper(65,a,16092,a(flip),b,16156,a),flip(a)]. 16170 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [para(8(a,1),16156(a,2,2,2,2,1))]. 16171 K(x,y * ((z / u) * K(w * v5,u))) = K(x,y * (z / T(u,w \ v5))). [para(6735(a,1),16156(a,1,2,2)),flip(a)]. 16172 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). [hyper(65,a,16092,a(flip),b,16169,a),flip(a)]. 16173 K(x,T(y,z / u) * w) = K(x,T(y,u * z) * w). [hyper(14673,a,16172,a)]. 16174 K(L(x,y,z),T(u,w * v5) * v6) = K(x,L(T(u,w \ v5) * v6,y,z)). [hyper(11478,a,16172,a),flip(a)]. 16175 K(x,T(y,z * (z * u)) * w) = K(x,T(y,u) * w). [para(9(a,1),16172(a,1,2,1,2)),flip(a)]. 16176 K(x,T(y,((z \ 1) * u) \ ((z * z) * w)) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). [para(988(a,1),16172(a,2,2,1,2))]. 16177 K(x,T(y,z * u) * (z \ u)) != w | K(x,(z \ u) * y) = w. [para(16172(a,1),11060(a,1))]. 16178 K(x,T(y,(z * z) * u) * w) = K(x,T(y,u) * w). [para(12917(a,2),16175(a,1,2,1))]. 16179 K(x,T(y,((z \ 1) \ u) * w) * v5) = K(x,T(y,(z \ u) * w) * v5). [para(810(a,1),16178(a,1,2,1,2))]. 16180 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(65,a,12828,a,b,16170,a)]. 16181 K(x,T(y,T(z,u) * w) * (((z \ u) \ u) \ w)) != v5 | K(x,(((z \ u) \ u) \ w) * y) = v5. [para(12343(a,1),16177(a,1,2,1))]. 16182 K(K((x * y) * z,u) * w,v5) = K(K(y * (x \ z),u) * w,v5). [hyper(15112,a,16158,a),flip(a)]. 16184 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(4596,a,16162,a),flip(a)]. 16185 T(x,K(y,z) * ((u \ y) * w)) = T(x,(u \ T(y,z)) * w). [para(13120(a,1),16184(a,1,2,1)),flip(a)]. 16186 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). [hyper(14986,a,16185,a)]. 16187 T(x,K(y * z,y) * ((u \ y) * w)) = T(x,(u \ T(y,z)) * w). [hyper(15013,a,16186,a)]. 16188 T(x,K(y \ z,u) * ((w \ u) * v5)) = T(x,(w \ T(u,y * z)) * v5). [hyper(65,a,15084,a,b,16186,a)]. 16189 K(T(K(x,y) * z,u) * w,v5) = K(K(x,y) * (T(z,u) * w),v5). [hyper(290,a,16105,a(flip),b,16166,a),flip(a)]. 16191 K(x,L(y * (K(z,y) * u),w,v5)) = K(x,L(T(y,z) * u,w,v5)). [para(5064(a,1),16167(a,1,2,1))]. 16192 K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,v5 * K((z * y) * u,w)). [hyper(65,a,15303,a(flip),b,16168,a),flip(a)]. 16193 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4471(a,2),16180(a,2,2,2))]. 16194 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(12975,a,16193,a)]. 16195 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(14966,a,16194,a)]. 16196 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13024,a,16195,a),flip(a)]. 16197 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12350,a,16196,a)]. 16198 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(16197(a,1),4491(a,2,1))]. 16199 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(290,a,4491,a,b,16198,a),flip(a)]. 16200 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(65,a,14586,a,b,16199,a)]. 16201 K(K(x * (y \ z),T(u,w)) * v5,v6) = K(v5 * K(u,(y * x) * z),v6). [hyper(15380,a,16182,a),flip(a)]. 16202 T(x,(y \ T(z,z * u)) * w) = T(x,(y \ T(z,u)) * w). [hyper(65,a,16186,a(flip),b,16187,a)]. 16203 K(K(x,y) * (T(T(z,K(x,y)),u) * w),v5) = K(T(z * K(x,y),u) * w,v5). [para(104(a,1),16189(a,1,1,1,1)),flip(a)]. 16204 K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) * (u \ 1),w,v5)). [hyper(13887,a,16191,a)]. 16205 K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). [para(94(a,1),16149(a,1,2)),flip(a)]. 16206 K(x,T(y,z * ((u * w) / u)) * (z * T(w,u))) = K(x,(z * ((u * w) / u)) * y). [hyper(11060,a,16205,a),flip(a)]. 16207 K(x,y * (z * ((u * T(w,v5)) / u))) = K(x,y * (z * T(T(w,u),v5))). [para(23(a,1),16205(a,2,2,2,2))]. 16208 K(x,y * (T(z,u) * u)) = K(x,y * (z * T(u,z))). [para(3472(a,2),16205(a,1,2,2))]. 16209 K(x,y * (z * (T(u,u * w) * w))) = K(x,y * (z * T(u * w,u))). [para(3468(a,1),16205(a,1,2,2,2))]. 16210 K(x,y * (z * (u * K(w,u)))) = K(x,y * (z * T(u,w))). [para(4434(a,1),16205(a,1,2,2,2))]. 16211 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(104(a,1),16208(a,2,2,2))]. 16212 K(x,T(y,z * u) * (z * u)) = K(x,(T(u,z) * z) * y). [hyper(11064,a,16211,a),flip(a)]. 16213 K(x,y * (T(z,u) * T(u,w))) = K(x,y * (T(u,w) * z)). [hyper(65,a,14670,a(flip),b,16211,a)]. 16214 K(x,y * ((z \ u) * z)) = K(x,y * (z * (u / z))). [para(106(a,1),16211(a,1,2,2,1))]. 16215 T(x,y * (T(z,u) * u)) = x * K(x,y * (u * z)). [para(16211(a,1),4471(a,2,2))]. 16216 K(x * (T(y,z) * z),u) = (w * K(u,x * (z * y))) \ w. [para(16211(a,1),6732(a,1,1,2)),flip(a)]. 16217 K(x,y * (T(z,T(u,w)) * ((w * u) / w))) = K(x,y * (((w * u) / w) * z)). [para(7607(a,1),16211(a,1,2,2,1))]. 16218 K(x,y * ((z \ L(z,u,u)) * w)) = K(x,y * (w * (z \ L(z,u,u)))). [para(12786(a,1),16211(a,1,2,2,1))]. 16219 K(x,y * (T(T(z,u),T((w * u) / w,z)) * T((w * u) / w,z))) = K(x,y * (u * (z * K(w,u)))). [para(13858(a,1),16211(a,2,2,2))]. 16220 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(65,a,12458,a(flip),b,16214,a),flip(a)]. 16221 K(x,y * (z * (((z \ 1) * u) / z))) = K(x,y * (((z * z) \ u) * z)). [para(712(a,1),16214(a,1,2,2,1)),flip(a)]. 16222 T(x,y * (T(z,u) * u)) = T(x,y * (u * z)). [hyper(290,a,4471,a,b,16215,a),flip(a)]. 16223 T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. [para(16215(a,2),4475(a,1))]. 16224 T(x,y * T(z * T(u,z),z)) = T(x,y * (z * u)). [hyper(65,a,15990,a,b,16222,a)]. 16225 T(x,y * T(z * u,u)) = T(x,y * (u * z)). [para(104(a,1),16224(a,1,2,2,1))]. 16226 T(x,(y * z) * z) = T(x,z * (z * y)). [para(104(a,1),16225(a,1,2))]. 16227 K(x * T(y * z,z),u) = u / T(u,x * (z * y)). [para(16225(a,1),4408(a,2,2))]. 16228 K(x * T(y * z,z),u) = K(x * (z * y),u). [hyper(290,a,4408,a,b,16227,a),flip(a)]. 16230 K(x * (y * z),T(u,y * z)) = K(T(z * y,y) * x,u). [hyper(13554,a,16228,a),flip(a)]. 16231 K(x * (y * (z / y)),u) = K(x * T(z,y),u). [para(12(a,1),16228(a,1,1,2,1)),flip(a)]. 16232 K(x * T(T(y,z),u \ y),w) = K(x * T((u \ y) * u,z),w). [para(4156(a,1),16231(a,1,1,2)),flip(a)]. 16233 K(x,(y * (z * u)) * K(w * v5,L(u,z,y))) = K(x,y * (z * T(u,w \ v5))). [hyper(15194,a,16210,a)]. 16234 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [hyper(11060,a,16212,a),flip(a)]. 16235 K(x,(T(y,z) * z) * u) != w | K(x,(z * y) * u) = w. [para(16212(a,1),11060(a,1))]. 16236 K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). [para(106(a,1),16234(a,1,2,1,1))]. 16237 K(x,(T(T(y,z),u) * T(z,y)) * w) = K(x,(T(z,y) * T(y,u)) * w). [para(3605(a,1),16234(a,1,2,1,1))]. 16239 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(65,a,12469,a(flip),b,16236,a),flip(a)]. 16240 K(x,T(y * z,z) * u) = K(x,(z * y) * u). [para(11(a,1),16239(a,1,2,1,2)),flip(a)]. 16241 K(x,(T(y,z) * L(z,u,z)) * w) != v5 | K(x,(L(z,u,z) * y) * w) = v5. [para(9698(a,1),16235(a,1,2,1,1))]. 16242 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [hyper(290,a,15942,a(flip),b,16216,a),flip(a)]. 16243 K(x * (T(y,y \ T(z,u)) * (y \ T(z,u))),w) = K(x * T((y \ z) * y,u),w). [para(4163(a,2),16242(a,2,1,2))]. 16244 K(T(x * y,y) * z,u) = K((y * x) * z,u). [hyper(11013,a,16230,a),flip(a)]. 16245 K(x,T(y * z,z) * u) * a(w,v5,K((z * y) * u,x)) = K(x,L(T(y * z,z) * u,v5,w)). [para(16244(a,1),11442(a,1,2,3))]. 16247 K(x * T((y \ z) * y,u),w) != v5 | K(x * T(T(z,u),y * z),w) = v5. [para(16232(a,1),15131(a,1))]. 16248 K(x,K(y * z,y) * (u * (w * (z / y)))) = K(x,u * (w * (y \ z))). [hyper(15102,a,16068,a)]. 16249 K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,a(y,z,K(u,w)) * (v5 * v6)). [para(13049(a,2),16085(a,2,2,1))]. 16250 K(x * (K(y,z) * u),T(w,u)) = K(K(y,z) * (u * x),w). [hyper(14793,a,16106,a)]. 16252 K(x,y * (z / T(u,K(w,v5) * v6))) = K(x,y * (z / T(u,v6))). [hyper(65,a,16070,a(flip),b,16132,a),flip(a)]. 16253 K(x,y / T(z,K(u,w) * v5)) = K(x,K(v6,x) * (y / T(z,v5))). [hyper(7806,a,16252,a)]. 16254 K(x,y / T(z,K(u,w) * v5)) = K(x,y / T(z,v5)). [hyper(290,a,15391,a(flip),b,16253,a),flip(a)]. 16255 K(x,y / T((z * K(u,w)) * v5,z)) = K(x,y / (v5 * (z * K(u,w)))). [hyper(13441,a,16254,a),flip(a)]. 16256 K(x * K(y,(z / T(u,w)) * v5),v6) = K(K((u \ z) * v5,y) * x,v6). [hyper(290,a,15271,a(flip),b,16155,a),flip(a)]. 16257 K(x,(y * (z / (u \ w))) * K(w * u,u)) = K(x,y * (z / (w / u))). [hyper(15343,a,16157,a)]. 16258 K(x,y * (z / T(u,w \ v5))) = K(x,y * (z / T(u,w * v5))). [para(6735(a,1),16171(a,1,2,2)),flip(a)]. 16259 K(x,y * (z / T(u,u * w))) = K(x,y * (z / ((u \ w) \ w))). [para(105(a,1),16258(a,1,2,2,2)),flip(a)]. 16260 K(x,L(T(y,z \ u) * w,v5,v6)) != v7 | K(x,L(T(y,z * u) * w,v5,v6)) = v7. [para(16174(a,1),11478(a,1))]. 16261 K(x,T(y,z * ((u \ 1) \ w)) * v5) = K(x,T(y,(u \ w) * z) * v5). [hyper(14674,a,16179,a)]. 16262 T(x,(y \ T(z,u \ w)) * v5) = T(x,(y \ T(z,u * w)) * v5). [hyper(65,a,16186,a(flip),b,16188,a)]. 16263 K(x,y * K(z,u * ((w \ 1) \ v5))) = K(x,y * K((w * u) * v5,z)). [hyper(14733,a,16192,a)]. 16264 K(x * K(y,(z * u) * w),v5) != v6 | K(x * K(y,u * (z \ w)),v5) = v6. [para(16201(a,1),15380(a,1))]. 16265 K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) / u,w,v5)). [hyper(290,a,13882,a(flip),b,16204,a),flip(a)]. 16266 K(x,L(T(y,z) / u,u,z)) = K(x,(z * y) / (u * z)). [hyper(65,a,14414,a(flip),b,16265,a),flip(a)]. 16267 K(x,L(T(y * z,y \ 1) / u,u,y \ 1)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). [para(724(a,1),16266(a,2,2,1))]. 16268 K(x,y * (z * T((u * w) / u,v5))) = K(x,y * (z * T(T(w,u),v5))). [para(423(a,1),16207(a,1,2,2,2))]. 16269 K(x,(T(y,z) * T(z,u)) * w) = K(x,(z * (y * K(z,u))) * w). [para(9762(a,1),16237(a,1,2,1)),flip(a)]. 16270 K(x,(T(y,z) * T(z,u)) * w) = K(x,(T(z,u) * y) * w). [hyper(290,a,14634,a(flip),b,16269,a),flip(a)]. 16272 K(x,(y * (z * (u / w))) * K(u,w)) = K(x,y * (z * (w \ u))). [hyper(15017,a,16248,a)]. 16273 K(x,y * ((z * (u / w)) * K(u,w))) = K(x,y * (z * (w \ u))). [hyper(16145,a,16272,a)]. 16274 K(x,y * (z * (T(u,w) / w))) = K(x,y * (z * (w \ u))). [para(11547(a,1),16273(a,1,2,2))]. 16275 K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K((y \ u) * x,w) * v5,v6). [hyper(65,a,15446,a,b,16256,a)]. 16276 K(x,(y * (z / (u \ w))) * K(u,w)) = K(x,y * (z / (w / u))). [hyper(65,a,15042,a(flip),b,16257,a)]. 16277 K(x,y * (z / (K(u,w) / v5))) = K(x,y * (z / (v5 \ K(u,w)))). [hyper(14649,a,16276,a),flip(a)]. 16278 K(x,T(y,z * ((1 / u) \ w)) \ v5) = K(x,(y \ v5) * K((u * z) * w,y)). [hyper(65,a,14745,a(flip),b,16263,a)]. 16280 K(x,((K(y,z) * u) * w) * v5) = K(x,K(y,z) * ((u * w) * v5)). [hyper(16059,a,16087,a),flip(a)]. 16282 K(x,(y * (z * K(u,w))) * v5) = K(x,K(u,w) * ((y * z) * v5)). [hyper(16059,a,16153,a),flip(a)]. 16284 K(x,(y * (z * K(u,w))) * v5) = K(x,(y * z) * (v5 * K(u,w))). [hyper(290,a,16060,a(flip),b,16282,a),flip(a)]. 16285 K(x,(y * z) * (u * K(z,w))) = K(x,(y * T(z,w)) * u). [para(4471(a,2),16284(a,1,2,1,2)),flip(a)]. 16286 K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). [hyper(16072,a,16285,a)]. 16287 K(x,(y * z) * (u * K(w,z))) = K(x,(y * T(z,w)) * u). [hyper(16063,a,16286,a)]. 16288 K(x,(T(y,z) * T(z,u)) * w) = K(x,(z * y) * (w * K(u,z))). [hyper(16235,a,16287,a),flip(a)]. 16289 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [hyper(65,a,16270,a(flip),b,16288,a),flip(a)]. 16290 K(x,(T(y,z) * u) * (y \ w)) != v5 | K(x,(y * u) * (T(y,z) \ w)) = v5. [para(16289(a,1),14678(a,1))]. 16291 a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a(T(1 / z,K(x,y)),u,w). [para(12941(a,1),15948(a,2,1))]. 16292 a((K(x,y) \ K(y,x)) \ z,u,w) = a(T(1 / z,K(x,y)),u,w). [para(4814(a,1),16291(a,1,1,1,2))]. 16293 a((K(x,y) * K(x,y)) \ z,u,w) = a(T(1 / z,K(y,x)),u,w). [para(4811(a,1),16292(a,1,1,1))]. 16294 a(T(1 / x,K(y,z)),u,w) = a(x,u,w). [hyper(65,a,2164,a(flip),b,16293,a),flip(a)]. 16296 a(T(x \ 1,K(y,z)),u,w) = a(x,u,w). [hyper(65,a,3370,a(flip),b,16294,a)]. 16297 a(T(x,K(y,z)),u,w) = a(x,u,w). [hyper(65,a,8166,a(flip),b,16296,a)]. 16299 K(x,K(y,(z * (u / w)) \ v5)) != v6 | K(x,K(y,z * ((w \ u) \ v5))) = v6. [para(16018(a,1),7630(a,1))]. 16300 K(K(x,T(y \ (z \ u),w)) * v5,v6) = K(v5 * K((z * y) \ u,x),v6). [hyper(15380,a,16103,a),flip(a)]. 16302 K(K(x,T(y \ (z \ u),w)) * v5,v6) = K(v5 * K((z * y) * u,x),v6). [hyper(290,a,15185,a(flip),b,16300,a),flip(a)]. 16303 K(x * K(y \ (z \ u),w),v5) = K(x * K((z * y) * u,w),v5). [hyper(15380,a,16302,a)]. 16304 K(x * K((y * z) * u,w),v5) = K(x * K(z * (y \ u),w),v5). [hyper(15186,a,16303,a),flip(a)]. 16305 K(x * K(K(y,z) * (u * w),v5),v6) = K(x * K(u * (K(y,z) \ w),v5),v6). [para(16105(a,1),16304(a,1,1,2))]. 16306 K(T(x * K(y,z),u) * w,v5) = K(K(y,z) * (T(x,u) * w),v5). [hyper(14947,a,16203,a),flip(a)]. 16307 K(T(x * K(y,z),u) * w,v5) != v6 | K(K(y,z) * (T(x,u) * w),v5) = v6. [para(16203(a,1),14947(a,1))]. 16308 K(x,y * (T(z,T(u,w)) * T(u,w))) = K(x,y * (((w * u) / w) * z)). [hyper(65,a,16205,a(flip),b,16217,a)]. 16309 K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). [hyper(65,a,16211,a(flip),b,16308,a),flip(a)]. 16310 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). [para(10(a,1),16309(a,1,2,2,1,1)),flip(a)]. 16311 K(x,y * (T(T(z,u),u) * w)) = K(x,y * (z * w)). [para(215(a,1),16309(a,1,2,2,1)),flip(a)]. 16312 K(x,y * (T(z,u) * (z \ w))) = K(x,y * (K(u,z) * w)). [para(4753(a,1),16309(a,1,2,2)),flip(a)]. 16313 K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). [para(5064(a,1),16309(a,1,2,2))]. 16314 K(x,(y \ z) * (T(T(y \ z,y),y) * u)) = K(x,T(y \ z,y) * ((z / y) * u)). [para(5232(a,1),16310(a,1,2))]. 16315 K(x,y * (K(z,u) * w)) = K(x,y * (K(u,z) * w)). [para(4438(a,1),16312(a,1,2,2))]. 16316 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(u,z))). [hyper(14677,a,16315,a),flip(a)]. 16317 K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)). [para(4889(a,1),16315(a,1,2,2)),flip(a)]. 16319 K(x,y * (K(z * u,z) * w)) != v5 | K(x,K(u,z) * (y * w)) = v5. [para(16316(a,2),16096(a,1))]. 16320 K(x,y \ (z * (K(u,z) * w))) = K(x,(y \ 1) * (T(z,u) * w)). [hyper(13039,a,16313,a)]. 16321 K(x,y * ((z \ K(u,z \ 1)) \ w)) = K(x,y * (T(z \ 1,u) \ w)). [para(5055(a,1),16317(a,1,2,2))]. 16322 K(x,y \ (z * (K(u,z) * w))) = K(x,y \ (T(z,u) * w)). [hyper(290,a,12836,a(flip),b,16320,a),flip(a)]. 16324 K(x,y \ (T(z \ u,z) * w)) = K(x,y \ ((u / z) * w)). [para(5102(a,1),16322(a,1,2,2)),flip(a)]. 16325 K(x,T(y / T(z,(u * w) * v5),z)) = K(x,T(z,w * ((1 / u) \ v5)) \ y). [para(6958(a,2),16278(a,2,2)),flip(a)]. 16326 K(x * K(y * (K(z,u) \ w),v5),v6) = K(K(y * w,v5) * x,v6). [hyper(65,a,15269,a(flip),b,16305,a),flip(a)]. 16328 K(x * K((y * z) * (K(u,w) \ v5),v6),v7) = K(K(z * (y \ v5),v6) * x,v7). [hyper(290,a,16182,a(flip),b,16326,a),flip(a)]. 16329 K(x,T(y,z * ((1 / u) \ w)) \ v5) = K(x,T(y,(u * z) * w) \ v5). [hyper(14702,a,16325,a),flip(a)]. 16330 K(x,T(y,z * ((u \ 1) \ w)) \ v5) = K(x,T(y,(u * z) * w) \ v5). [para(4113(a,1),16329(a,1,2,1))]. 16331 K(x,T(y,(z * u) * w) \ v5) = K(x,T(y,u * (z \ w)) \ v5). [hyper(65,a,15222,a(flip),b,16330,a),flip(a)]. 16332 K(x,T(y,z * ((u \ 1) * w)) \ v5) = K(x,T(y,w * (u \ z)) \ v5). [hyper(65,a,15404,a,b,16331,a)]. 16333 K(x * K((T(y,z) * u) * (K(w,v5) \ v6),v7),v8) = K(K((y \ v6) * u,v7) * x,v8). [hyper(290,a,16275,a(flip),b,16328,a),flip(a)]. 16334 K(x,K(y,z)) * K(y,L(T(z,u),w,v5)) != v6 | K(y,L(T(T(z,x),u),w,v5)) = v6. [para(13454(a,2),16019(a,1))]. 16335 K(x,y * (z * (u * K(w * v5,u)))) = K(x,y * (z * T(u,w \ v5))). [para(9013(a,1),16233(a,1,2))]. 16336 K(x,y * (z * T(u,w \ v5))) = K(x,y * (z * T(u,w * v5))). [hyper(65,a,16210,a(flip),b,16335,a),flip(a)]. 16337 K(x,(y \ 1) * (z * T(u,w * v5))) = K(x,y \ (z * T(u,w \ v5))). [hyper(13039,a,16336,a),flip(a)]. 16338 K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,(y * (z * T(u,w \ v5))) * (1 / (z * T(u,w \ v5)))). [para(1010(a,1),16336(a,1,2)),flip(a)]. 16339 K(x,y * T(z * ((u * u) \ w),u * u)) = K(x,y * (((u * u) \ z) * T(w,u \ u))). [para(996(a,2),16336(a,2,2,2)),flip(a)]. 16340 K(x,y * ((z / u) * T(u,w * v5))) = K(x,y * (z * K(u,w \ v5))). [para(5731(a,1),16336(a,1,2,2)),flip(a)]. 16341 K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u \ w)) * (1 / (y * T(z,u \ w)))). [para(11248(a,1),16336(a,1,2)),flip(a)]. 16342 K(x,y \ (z * T(u,w \ v5))) = K(x,y \ (z * T(u,w * v5))). [hyper(13039,a,16337,a),flip(a)]. 16343 K(x,y \ (z * T(u,w \ v5))) != v6 | K(x,y \ (z * T(u,w * v5))) = v6. [para(16337(a,1),13039(a,1))]. 16344 K(x,y \ (z * T(u,w * (w * v5)))) = K(x,y \ (z * T(u,v5))). [para(9(a,1),16342(a,1,2,2,2,2)),flip(a)]. 16345 K(x,y \ (z * T(u,w * w))) = K(x,y \ (z * u)). [para(195(a,1),16342(a,1,2,2,2)),flip(a)]. 16346 K(x,y \ (z * (u / (w * w)))) = K(x,y \ (z * ((w * w) \ u))). [para(106(a,1),16345(a,1,2,2,2)),flip(a)]. 16347 K(x,y \ (((z * z) \ u) * w)) = K(x,y \ (u * ((z * z) \ w))). [hyper(65,a,15152,a,b,16346,a)]. 16348 K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). [para(5731(a,1),16340(a,1,2,2)),flip(a)]. 16349 K(x,y * (K(z,u \ w) * v5)) = K(x,y * (v5 * K(z,u * w))). [hyper(14659,a,16348,a)]. 16350 K(x,y * (K(z,z \ u) * w)) = K(x,K(u,z) * (y * w)). [hyper(290,a,16091,a(flip),b,16349,a),flip(a)]. 16351 K(x,K(y,z) * (u * (w * y))) = K(x,u * (w * (z * (y / z)))). [hyper(65,a,14690,a(flip),b,16350,a),flip(a)]. 16352 K(x,y * (z * (u * (w / u)))) = K(x,y * (z * T(w,u))). [hyper(65,a,16067,a(flip),b,16351,a),flip(a)]. 16353 K(x,y * (z * T(u * w,u))) = K(x,y * (z * (T(u,w) * w))). [para(3472(a,2),16352(a,1,2,2,2)),flip(a)]. 16354 K(x,y * (z * T((u * (w * u)) / u,T(u,u * w)))) = K(x,y * (z * (T(u,u * w) * w))). [para(3668(a,1),16352(a,1,2,2,2,2)),flip(a)]. 16355 K(x,y * (K(z,u) * T(w,z))) = K(x,y * (T(z,u) * (w / z))). [para(4492(a,1),16352(a,1,2,2)),flip(a)]. 16356 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(15968(a,1),15971(a,1,2,2)),flip(a)]. 16357 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(290,a,7696,a(flip),b,16356,a),flip(a)]. 16360 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(16357(a,1),6732(a,1,1,2)),flip(a)]. 16361 K(x,T(y,a(z,u,w))) = K(x,y). [para(13677(a,1),16357(a,1,2))]. 16362 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [para(15812(a,1),16357(a,1,2)),flip(a)]. 16366 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(16361(a,1),7595(a,1))]. 16367 K(x,y) * (a(z,u,w) \ 1) = a(z,u,w) \ K(x,y). [para(16361(a,1),13214(a,1,1))]. 16368 K(x,y * T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). [hyper(14765,a,16362,a)]. 16369 K(x,y * T(z,a(u,w,v5))) = K(x,y * z). [hyper(14764,a,16362,a)]. 16370 K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,v5 * v6). [hyper(65,a,16249,a,b,16362,a)]. 16372 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(290,a,15942,a(flip),b,16360,a),flip(a)]. 16373 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [para(15812(a,1),16372(a,1,1)),flip(a)]. 16374 (K(x,y) * a(z,u,K(w,v5))) * K(K(y,x),v6) = T(K(x,y) * a(z,u,K(w,v5)),v6). [para(16373(a,1),15356(a,1,2))]. 16376 K(x,(a(y,z,K(u,w)) * (v5 \ 1)) * v6) = K(x,v5 \ v6). [hyper(290,a,12836,a(flip),b,16370,a),flip(a)]. 16377 K(x,(y * a(z,u,K(w,v5))) * v6) = K(x,y * v6). [para(15815(a,1),16370(a,1,2,1))]. 16379 K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). [para(15873(a,1),16376(a,1,2,1))]. 16380 K(x,(T(a(y,z,u),w) \ 1) * v5) = K(x,a(y,z,u) \ v5). [para(13673(a,1),16379(a,1,2,1))]. 16381 K(x,T(a(y,z,u),w) \ v5) = K(x,a(y,z,u) \ v5). [hyper(13039,a,16380,a)]. 16382 T(x,y * T((z * u) * (1 / u),z / u)) = T(x,y * (u * (z * (u \ 1)))). [para(12995(a,1),15992(a,1,2,2))]. 16383 K(x,T(y,z * ((u * w) * (1 / w)))) = K(x,T(y,z * (w * (u * (w \ 1))))). [para(15992(a,1),14801(a,1,2)),flip(a)]. 16384 T(x,y * T((z * u) * (1 / u),z * u)) = T(x,y * (u * (z * (u \ 1)))). [hyper(65,a,15480,a(flip),b,16382,a)]. 16385 K(x,T(y,z * ((u * w) * (w \ 1)))) = K(x,T(y,z * (w * (u * (w \ 1))))). [para(4114(a,1),16383(a,1,2))]. 16386 T(x,y * ((1 / z) * (u * z))) = T(x,y * (z * (u * (z \ 1)))). [hyper(65,a,15990,a(flip),b,16384,a)]. 16387 T(x,y * ((z \ 1) * (u * z))) = T(x,y * (z * (u * (z \ 1)))). [hyper(65,a,4112,a(flip),b,16386,a)]. 16388 K(x,T(y,z * (u * (w * (u \ 1))))) = K(x,T(y,z * R(w,u,u))). [para(787(a,1),16385(a,1,2,2,2)),flip(a)]. 16389 K(x,T(y,z * (z * u)) * (z \ ((1 / z) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). [para(12917(a,1),16098(a,1,2,1))]. 16390 K(x,T(y,z * T(u,w)) * (z * T(u,w))) = K(x,(z * ((w * u) / w)) * y). [para(14759(a,1),16206(a,1,2,1))]. 16391 K(x,(y * ((z * u) / z)) * w) = K(x,(y * T(u,z)) * w). [hyper(11060,a,16390,a),flip(a)]. 16392 K(x,(y * T(z \ u,z)) * w) = K(x,(y * (u / z)) * w). [para(10(a,1),16391(a,1,2,1,2,1)),flip(a)]. 16393 K(x,(y * T(T(z,u),u)) * w) = K(x,(y * z) * w). [para(215(a,1),16391(a,1,2,1,2)),flip(a)]. 16394 K(x,(y * T(T(z,u),z * u)) * w) = K(x,(y * R(z,u,z)) * w). [para(3743(a,1),16391(a,1,2,1,2)),flip(a)]. 16395 K(x,(y * (((z * u) * (z * K(u,z))) / (z * u))) * w) = K(x,(y * ((z * u) / (T(z * u,z) / z))) * w). [para(7061(a,2),16391(a,2,2,1,2))]. 16396 K(x,(y * (T(z * u,u) / z)) * w) = K(x,(y * R(u,z,u)) * w). [para(3540(a,1),16392(a,1,2,1,2)),flip(a)]. 16397 K(x,(y * T(T(z,u),u)) * w) = K(x,(y * R(z,u,z)) * w). [hyper(65,a,14061,a(flip),b,16394,a)]. 16398 K(x,(y * R(z,u,z)) * w) = K(x,(y * z) * w). [hyper(65,a,16393,a(flip),b,16397,a),flip(a)]. 16400 K(x,(y * (T(z * u,u) / z)) * w) = K(x,(y * u) * w). [hyper(290,a,16398,a(flip),b,16396,a),flip(a)]. 16402 K(x * T((y \ z) * y,u),w) = K(x * (y * (T(z,u) / y)),w). [para(3490(a,1),16243(a,1,1,2)),flip(a)]. 16403 K(x * T((y \ z) * y,u),w) = K(x * T(T(z,u),y),w). [hyper(290,a,16231,a(flip),b,16402,a),flip(a)]. 16404 K(x * T(T(y,z),u * y),w) = K(x * T(T(y,z),u),w). [hyper(16247,a,16403,a)]. 16405 K(x,T(y \ z,y) * ((z / y) * u)) = K(x,(y \ z) * ((y \ z) * u)). [hyper(65,a,16311,a(flip),b,16314,a),flip(a)]. 16407 K(x,(y / z) * ((y / z) * u)) = K(x,(z \ y) * ((z \ y) * u)). [hyper(65,a,16117,a(flip),b,16405,a)]. 16408 K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(((z / y) \ 1) * y) \ u). [hyper(15208,a,16407,a),flip(a)]. 16409 K(x,(y \ 1) * ((y \ 1) * ((1 / L(y,z,z)) \ u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). [hyper(65,a,15207,a(flip),b,16407,a),flip(a)]. 16410 K(x * K((T(y,z) * u) * (K(w,v5) * v6),v7),v8) = K(K((y \ v6) * u,v7) * x,v8). [para(4811(a,1),16333(a,1,1,2,1,2))]. 16411 (K(x,y) * a(z,u,K(w,v5))) * K(x,K(y,v6)) = T(K(x,y) * a(z,u,K(w,v5)),v6). [para(7414(a,1),16374(a,1,2))]. 16412 K(x,T(y,z * (z * u)) * (z \ ((z \ 1) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). [hyper(65,a,5475,a(flip),b,16389,a)]. 16413 T(K(x,y) * a(z,u,K(w,v5)),v6) = K(x,T(y,v6)) * a(z,u,K(w,v5)). [hyper(13458,a,16411,a),flip(a)]. 16414 K(x,T(y,z) * (u \ ((u \ 1) \ z))) = K(x,(u \ ((1 / u) \ z)) * y). [hyper(65,a,16175,a(flip),b,16412,a)]. 16415 K(x,(y \ ((1 / y) \ z)) * u) = K(x,(y \ ((y \ 1) \ z)) * u). [hyper(12935,a,16414,a),flip(a)]. 16417 K(x,T((y \ ((1 / (y \ 1)) \ z)) * u,y \ (y \ 1))) = K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))). [para(1192(a,2),16415(a,1,2))]. 16418 R(T(x,T((a(y,z,u) \ 1) * x,w)),T(a(y,z,u) \ 1,w),x) = T(x,a(y,z,u) \ 1). [para(12417(a,2),15871(a,1,1))]. 16419 a(K(x,y) * (z * (u * y)),w,K(v5,v6)) = a(z * (u * T(y,x)),w,K(v5,v6)). [hyper(290,a,15817,a(flip),b,16131,a),flip(a)]. 16420 a(K(x,y) * (z * T(x,y)),u,K(w,v5)) = a(z * x,u,K(w,v5)). [para(4837(a,1),16419(a,1,1)),flip(a)]. 16421 K(x,y * T(z * ((u * u) \ w),u * u)) = K(x,y * (((u * u) \ z) * w)). [para(195(a,1),16339(a,2,2,2,2))]. 16422 K(x,y * (((z * z) \ u) * w)) = K(x,y * (u * ((z * z) \ w))). [hyper(65,a,15119,a(flip),b,16421,a),flip(a)]. 16424 K(x,y * (z * (((z \ 1) * u) / z))) = K(x,y * (u * ((z * z) \ z))). [hyper(65,a,16221,a,b,16422,a)]. 16425 K((x * (y \ 1)) * (z * u),w) * K(w,(z * u) * (x * ((y * y) \ y))) = K(x * y,K(((y * y) \ z) * u,w)). [para(16422(a,1),15449(a,1,2))]. 16426 K(x,y * (z * (((z \ 1) * u) / z))) = K(x,y * (u * (1 / z))). [para(441(a,1),16424(a,2,2,2,2))]. 16427 K(x,y * (z * (((z \ 1) * u) / z))) = K(x,y * (u * (z \ 1))). [hyper(290,a,5037,a(flip),b,16426,a),flip(a)]. 16428 K(x,y * T((z \ 1) * u,z)) = K(x,y * (u * (z \ 1))). [hyper(65,a,16220,a(flip),b,16427,a)]. 16429 K(x,y * ((z * u) * (u \ 1))) = K(x,y * (u * ((1 / u) * z))). [hyper(65,a,16078,a(flip),b,16428,a),flip(a)]. 16430 K(x,y * (z * ((1 / z) * u))) = K(x,y * R(u,z,z)). [para(787(a,1),16429(a,1,2,2)),flip(a)]. 16431 K(x,y * R(z,u,u)) = K(x,y * L(z,u,u)). [hyper(65,a,5527,a(flip),b,16430,a),flip(a)]. 16432 K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y \ z) * ((u * y) * y)). [hyper(65,a,13880,a(flip),b,16431,a),flip(a)]. 16433 R(T(x,T(a(y,z,u) \ x,w)),T(a(y,z,u) \ 1,w),x) = T(x,a(y,z,u) \ 1). [para(13591(a,1),16418(a,1,1))]. 16434 L(K(x,K(y,z)) * ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. [para(7454(a,1),15836(a,1,1))]. 16436 K(K(x,y) * (z * (u * K(x,y))),w) = K(u * T(z,u),w). [hyper(16042,a,16110,a)]. 16437 K(K(x,y) * (z * (u * K(x,y))),w) = K(z * u,w). [para(104(a,1),16436(a,2,1))]. 16438 K(K(x,y) * (z * (1 / u)),w) = K(z * (1 / (K(x,y) * u)),w). [para(13113(a,1),16437(a,1,1,2,2))]. 16439 K(K(x,y) * (z * (1 / u)),w) = K(z / (K(x,y) * u),w). [hyper(290,a,13007,a(flip),b,16438,a),flip(a)]. 16440 K(x,L(T(y * z,y \ 1) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). [para(1846(a,1),16267(a,1,2))]. 16442 (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. [para(16434(a,1),15896(a,1))]. 16444 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7490(a,1),15801(a,1,1))]. 16446 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(7584(a,1),16444(a,2,2))]. 16447 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(290,a,7146,a(flip),b,16446,a),flip(a)]. 16448 (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(65,a,13652,a,b,16447,a)]. 16449 K(x,K(y,z \ (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). [para(12836(a,1),15922(a,1,1,2))]. 16450 K(x,K(y,z * (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). [para(13306(a,1),16449(a,1,1))]. 16451 K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,u * (w \ z))) * 1. [para(13378(a,1),16450(a,1,2)),flip(a)]. 16452 K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,u * (w \ z))). [hyper(290,a,8,a(flip),b,16451,a),flip(a)]. 16453 K(x,K(y,z * ((u \ 1) * w))) != v5 | K(x,K(y,u * (w \ z))) = v5. [para(16451(a,2),132(a,1)),flip(b)]. 16455 K(x,(y * K(z,u)) * (K(u,z) * w)) = K(x,K(y,w)) * K(x,w * y). [para(16069(a,1),16090(a,1,2)),flip(a)]. 16456 K(x,(y * K(z,u)) * (K(u,z) * w)) = K(x,y * w). [hyper(290,a,13922,a(flip),b,16455,a),flip(a)]. 16458 K(x,K(y,z) * (u * (K(z,y) * w))) = K(x,u * w). [hyper(65,a,16150,a(flip),b,16456,a)]. 16459 K(x,K(y,z) * (u * (y * w))) = K(x,u * (T(y,z) * w)). [para(4442(a,1),16458(a,1,2,2,2))]. 16460 K(x,y * (T(z,K(u,w)) * v5)) != v6 | K(x,y * (z * v5)) = v6. [para(16459(a,1),14614(a,1))]. 16461 K(x * K(y,z * (T(u,w) * v5)),v6) = K(K(z * (u * v5),y) * x,v6). [para(16459(a,1),15355(a,1,1,2))]. 16462 K(x,y * ((K(z,u) * w) * v5)) != v6 | K(x,y * ((w * K(z,u)) * v5)) = v6. [para(6731(a,1),16460(a,1,2,2,1))]. 16463 K(x,y * (T(z,T(u,w)) * v5)) != v6 | K(x,y * (T(z,u) * v5)) = v6. [para(7914(a,1),16460(a,1,2,2,1))]. 16465 K(K(x * (T(y,z) * u),w) * v5,v6) = K(K(x * (y * u),w) * v5,v6). [hyper(15366,a,16461,a)]. 16466 K(x,T(1 / y,(1 / y) * z) * u) = K(x,((1 / y) * K(z,y \ 1)) * u). [para(5928(a,1),16126(a,1,2,1)),flip(a)]. 16467 K(x,T(1 / y,(1 / y) * z) * u) = K(x,(K(z,y \ 1) / y) * u). [para(5293(a,1),16466(a,2,2,1))]. 16468 K(x,K(y,z * u)) * K(x,y \ ((w / (w / z)) * u)) = K(x,((w / (w / z)) * u) / y). [para(14851(a,1),16127(a,1,1))]. 16470 K(x,T(y,z * (z * (((z \ 1) * u) \ w))) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). [para(15067(a,1),16176(a,1,2,1))]. 16471 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),16200(a,1,2,1,2))]. 16472 K(x,(y * z) * u) * a(w,v5,K((y * z) * u,x)) = K(x,L(T(z * y,y) * u,v5,w)). [para(16240(a,1),16245(a,1,1))]. 16473 K(x,L(T(y * z,z) * u,w,v5)) != v6 | K(x,L((z * y) * u,w,v5)) = v6. [para(16472(a,1),11477(a,1))]. 16474 K(x,y * (z * T((u * (w * u)) / u,T(u,u * w)))) = K(x,y * (z * T(u * w,u))). [hyper(290,a,16209,a(flip),b,16354,a),flip(a)]. 16475 K(x,y * (z * T((u * (w * u)) / u,T(u,w)))) = K(x,y * (z * T(u * w,u))). [para(8337(a,1),16474(a,1,2,2,2))]. 16476 K(x,y * (z * T(u * w,K(w,u)))) = K(x,y * (z * T(w * u,w))). [para(7916(a,1),16475(a,1,2,2,2))]. 16477 K(x,y * (z * T(u * w,u))) != v5 | K(x,y * (z * (w * u))) = v5. [para(16476(a,1),14658(a,1))]. 16478 K(x,y * (z * (T(u,w) * w))) = K(x,y * (z * (w * u))). [hyper(16477,a,16353,a),flip(a)]. 16479 K(x,T(y,z * (u * w)) * (z * (u * w))) = K(x,(z * T(w * u,w)) * y). [hyper(16477,a,15993,a)]. 16480 K(x,y * (z * ((1 / u) * (u * w)))) = K(x,y * (z * R(w,u,u))). [hyper(16477,a,12586,a)]. 16482 K(x,y \ (z * (T(u,w) * w))) = K(x,(y \ 1) * (z * (w * u))). [hyper(13039,a,16478,a)]. 16483 K(x,y * ((T(z,u) * u) * T(u,z))) = K(x,y * (u * (u * z))). [hyper(65,a,12471,a,b,16478,a)]. 16485 K(x,y \ (z * (T(u,w) * w))) = K(x,y \ (z * (w * u))). [hyper(290,a,12836,a(flip),b,16482,a),flip(a)]. 16486 K(x,y \ (T(z,u * w) * (u * w))) = K(x,y \ ((T(w,u) * u) * z)). [hyper(15427,a,16485,a),flip(a)]. 16487 K(x,y * T((z * u) * u,K(z,u))) = K(x,y * (u * (u * z))). [para(10290(a,2),16483(a,1,2,2))]. 16488 K(x,y * ((z * u) * u)) = K(x,y * (u * (u * z))). [hyper(14647,a,16487,a)]. 16489 K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y \ z) * (y * (y * u))). [hyper(65,a,16432,a,b,16488,a)]. 16490 K(x,y * (z * R(u,w,w))) = K(x,y * (z * L(u,w,w))). [para(665(a,1),16480(a,1,2,2,2)),flip(a)]. 16491 K(x,y * ((z * u) * R(L(w,u,z),v5,v5))) = K(x,y * (z * (u * L(w,v5,v5)))). [para(458(a,1),16490(a,2,2,2))]. 16492 x * K(x,y * (z * L(u,w,w))) = T(x,y * (z * R(u,w,w))). [para(16490(a,1),4471(a,2,2)),flip(a)]. 16493 T(x,y * (z * R(u,w,w))) = T(x,y * (z * L(u,w,w))). [hyper(4475,a,16492,a),flip(a)]. 16494 K(x,y \ ((T(z,u) * u) * w)) = K(x,y \ ((u * z) * w)). [hyper(15426,a,16486,a),flip(a)]. 16496 K(x,y \ ((T(z,u * z) * u) * w)) = K(x,y \ ((u * L(z,u,z)) * w)). [para(3661(a,1),16494(a,1,2,2,1,1))]. 16497 K(x,y \ (((K(z,u) * K(z,u)) * w) * v5)) = K(x,y \ ((w * (K(z,u) * K(z,u))) * v5)). [para(14718(a,1),16494(a,1,2,2,1,1)),flip(a)]. 16498 K(x,(y * T(z * u,z)) * w) = K(x,(y * (u * z)) * w). [hyper(11060,a,16479,a),flip(a)]. 16499 K(x,(y * ((1 / z) * (z * u))) * w) = K(x,(y * R(u,z,z)) * w). [hyper(65,a,14103,a(flip),b,16498,a),flip(a)]. 16500 K(x,((y * z) * y) * u) = K(x,(y * (z * y)) * u). [para(104(a,1),16498(a,1,2,1))]. 16501 K(x,(((y \ z) * y) * (y \ z)) * u) = K(x,((y \ z) * z) * u). [para(10(a,1),16500(a,2,2,1,2))]. 16502 K(x,(y * T(z \ y,z)) * u) = K(x,((z \ y) * y) * u). [para(842(a,1),16501(a,1,2,1))]. 16503 K(x,((y \ z) * z) * u) = K(x,(z * (z / y)) * u). [hyper(65,a,16392,a(flip),b,16502,a),flip(a)]. 16504 K(x,(y * R(z,u,u)) * w) = K(x,(y * L(z,u,u)) * w). [para(665(a,1),16499(a,1,2,1,2)),flip(a)]. 16507 K(x,y * (z * (u * R(w,v5,v5)))) = K(x,y * (z * (u * L(w,v5,v5)))). [para(457(a,1),16491(a,1,2,2))]. 16508 K(x,y \ ((z * (T(T(z,u),u) \ w)) * v5)) = K(x,y \ ((w * (K(u,z) * K(u,z))) * v5)). [para(8277(a,1),16497(a,1,2,2,1))]. 16509 K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,y \ (w * (T(T(w,u),u) \ (z * v5)))). [para(14533(a,1),16508(a,1,2,2)),flip(a)]. 16510 K(x,(y \ 1) * ((y \ 1) * (L(y,z,z) * u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). [hyper(65,a,13267,a(flip),b,16409,a)]. 16511 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,y \ ((y \ 1) * (L(y,z,z) * u))). [hyper(13039,a,16510,a),flip(a)]. 16512 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,(y * y) \ (L(y,z,z) * u)). [para(712(a,1),16511(a,2,2))]. 16513 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,((y * y) \ L(y,z,z)) * u). [para(400(a,1),16512(a,2,2))]. 16514 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,L((y * y) \ y,z,z) * u). [para(4324(a,2),16513(a,2,2,1))]. 16515 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,L(1 / y,z,z) * u). [para(441(a,1),16514(a,2,2,1,1))]. 16516 K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,L(y \ 1,z,z) * u). [hyper(290,a,5091,a(flip),b,16515,a),flip(a)]. 16517 K(x,(y * a(z,z,y)) \ u) = K(x,L(y \ 1,z,z) * u). [para(81(a,1),16516(a,1,2,1,1))]. 16519 K(x,T(y,(z * T(u,z * z)) * w) * v5) = K(x,T(y,((z \ 1) * u) \ w) * v5). [hyper(65,a,16175,a(flip),b,16470,a),flip(a)]. 16521 K(x,T(y,(z * T(u,z * z)) * w) * v5) = K(x,T(y,((z \ 1) * u) * w) * v5). [hyper(290,a,16172,a(flip),b,16519,a),flip(a)]. 16522 K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,(z * u) * w) * v5). [para(16024(a,1),16521(a,1,2,1)),flip(a)]. 16523 K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,w * (z * u)) * v5). [hyper(290,a,14636,a,b,16522,a),flip(a)]. 16524 K(x,T(y,((z \ 1) * u) * w) * v5) != v6 | K(x,T(y,w * (z * u)) * v5) = v6. [para(16522(a,2),14674(a,1))]. 16525 K(x,T(y,((z \ 1) * u) * w) * v5) != v6 | K(x,T(y,(z * u) * w) * v5) = v6. [para(16523(a,2),14674(a,1))]. 16526 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(7476(a,1),16471(a,1,2))]. 16527 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(14833(a,1),16526(a,1,2))]. 16528 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(65,a,9061,a(flip),b,16527,a)]. 16529 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(14916(a,2),16528(a,1,2))]. 16530 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(11011(a,1),16529(a,1,2,1))]. 16531 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(12963(a,1),16530(a,1,2))]. 16532 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(4811(a,1),16531(a,1,2))]. 16533 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(7834,a,16532,a)]. 16534 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(65,a,15307,a(flip),b,16533,a)]. 16535 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(4842,a,16534,a),flip(a)]. 16536 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(16535(a,2),13620(a,2,2)),flip(a)]. 16537 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(65,a,13033,a(flip),b,16536,a)]. 16538 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(65,a,15877,a(flip),b,15839,a)]. 16539 K(x,K(y * z,y * (u \ z))) * K(x,L(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(14390(a,1),15921(a,1,2))]. 16540 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(16036(a,1),16538(a,1,1))]. 16541 K(x,K(y * z,y * (u \ z))) * K(x,L(T(u,y),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(7790(a,1),16539(a,1,2))]. 16542 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(14(a,2),16540(a,1,1,1))]. 16543 a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). [hyper(15730,a,16542,a)]. 16544 a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. [para(7453(a,1),16543(a,1,2)),flip(a)]. 16545 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(290,a,8,a(flip),b,16544,a),flip(a)]. 16546 a(x,y,z * K(u,K(w,v5))) != v6 | a(x,y,z) = v6. [para(16544(a,2),132(a,1)),flip(b)]. 16548 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(7139(a,1),16545(a,1,3))]. 16549 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(15831,a,16548,a),flip(a)]. 16550 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(290,a,13651,a,b,16548,a),flip(a)]. 16551 a(x,y,K(z,u * (w * u))) = a(x,y,K(z,w)). [hyper(65,a,13789,a,b,16548,a)]. 16552 a(x,y,K(z * (u / w),z)) = a(x,y,K(z * (w \ u),z)). [para(12376(a,1),16548(a,1,3))]. 16553 (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = w * a(x,y,K(z,w)). [para(16548(a,1),13060(a,2,2))]. 16554 K(x,T(y,z)) * a(x,u,K(y \ (w \ v5),y)) = K(x,L(T(y,z),u,(w * y) \ v5)). [para(16548(a,1),13723(a,1,2))]. 16556 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(16548(a,1),15831(a,1))]. 16558 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [para(106(a,1),16549(a,1,1)),flip(a)]. 16559 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(16549(a,1),15831(a,1))]. 16560 ((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(16550(a,1),14501(a,1,2))]. 16562 a(x,y,K(z,u / w)) = a(x,y,K(z,w * u)). [para(12(a,1),16551(a,1,3,2,2)),flip(a)]. 16563 a(T(x \ y,y),z,K(u,w)) = v5 / (v5 * a(w,z,K(u,x * y))). [para(16562(a,1),15819(a,2,2,2))]. 16564 a(x,y,K(z,u * w)) != v5 | a(x,y,K(z,w * u)) = v5. [para(11072(a,1),16546(a,1,3))]. 16566 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(u / z,w)) = v5. [para(7105(a,1),16559(a,1,3))]. 16568 K(x,T(a(y,z,u),w)) != v5 | a(x,z,K(u,y)) = v5. [para(13761(a,1),16559(a,1))]. 16569 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(16564,a,13709,a)]. 16570 a(x * y,z,K(u,x)) = a(x,z,K(u,y)). [hyper(15825,a,16569,a)]. 16571 a(x,y,K(z,u \ (x * w))) = a(z,y,K(u * w,x)). [hyper(65,a,13813,a(flip),b,16569,a),flip(a)]. 16572 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),x * u). [para(16569(a,1),13055(a,1,2))]. 16573 a(x,y,K(z,u * (x * w))) = a(z,y,K(u * w,x)). [hyper(65,a,13787,a(flip),b,16571,a)]. 16574 a(x,y,K(z,(x \ u) * w)) = a(z,y,K(u * w,x)). [hyper(65,a,13799,a,b,16573,a)]. 16575 a(x,y,K(T(z * K(u * w,z),v5) * w,u)) = a(u,y,K(x,(u * w) * T(z,v5))). [para(4520(a,1),16573(a,1,3,2)),flip(a)]. 16576 T(a(x,y,z),x * u) = T(a(x,y,z),u). [hyper(13057,a,16572,a),flip(a)]. 16577 ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),y * z). [hyper(65,a,13931,a,b,16576,a)]. 16578 ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),y). [hyper(290,a,13785,a(flip),b,16577,a),flip(a)]. 16579 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(290,a,13064,a(flip),b,16578,a)]. 16580 ((x * y) * K(z,T(u,w))) / (x * (y * K(z,T(u,w)))) = a(x,y,K(z,u)). [hyper(16559,a,16579,a),flip(a)]. 16581 a(x,y,z) = R(x \ R(x,y,z),x,y * z). [hyper(290,a,1770,a,b,16579,a),flip(a)]. 16582 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(139,a,16579,a(flip))]. 16583 R((1 / x) * R(x,y,z),x,y * z) = L(a(x,y,z),x,x). [para(16581(a,2),668(a,1,1)),flip(a)]. 16584 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(16582(a,1),297(a,1,1)),flip(b)]. 16586 R(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. [para(1770(a,2),16584(a,1))]. 16588 R(x \ R(x,y,z),x,y * z) = L(a(x,y,z),x,x). [para(1769(a,1),16583(a,1,1))]. 16589 L(a(x,y,z),x,x) = a(x,y,z). [hyper(16586,a,16588,a),flip(a)]. 16591 (a(x,y,z) \ a(x,y,z)) * (a(x,y,z) \ 1) = L(a(x,y,z) \ 1,x,x). [para(16589(a,1),4351(a,1,1,2))]. 16592 a(T(x \ y,y),z,K(u,w)) = a(x * y,z,K(u,w)). [hyper(290,a,15817,a(flip),b,16563,a),flip(a)]. 16593 a(x \ y,z,K(u,w)) = a(x * y,z,K(u,w)). [hyper(16556,a,16592,a)]. 16594 K(a(x,y,z) \ u,u) = a(a(x,y,z) * u,y,K(z,x)). [hyper(14018,a,16593,a)]. 16595 a(x / y,z,K(u,w)) = a(y * x,z,K(u,w)). [hyper(65,a,16558,a,b,16593,a)]. 16597 K((x \ (x * a(y,z,u))) \ w,x \ (x * a(y,z,u))) = a(T(a(y,z,u),x) * w,z,K(u,y)). [hyper(65,a,15398,a,b,16593,a)]. 16598 K(x,y) * a(z * u,w,K(y,x)) = K(x,L(y,w,z \ u)). [para(16593(a,1),11442(a,1,2))]. 16599 x * a(a(y,z,u) * x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). [para(16593(a,1),13674(a,1,2))]. 16600 K(a(x,y,z) * (u / a(x,y,z)),a(x,y,z) \ u) = w / (a(a(x,y,z) * u,y,K(z,x)) * w). [para(16593(a,1),14283(a,2,2,1))]. 16601 T(x * a(a(y,z,u) * T(x,w),z,K(u,y)),T(a(y,z,u) \ T(x,w),w)) = x. [para(16594(a,1),7187(a,1,1,2))]. 16602 K(x,L(y,z,u \ w)) = K(x,L(y,z,u * w)). [hyper(11477,a,16598,a),flip(a)]. 16603 K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,u * w)) = v5. [para(16598(a,1),11477(a,1))]. 16604 K(x,y) * a(y,z,K(u * w,x)) = K(x,L(y,z,u \ w)). [para(13689(a,1),16598(a,1,2))]. 16605 K(x,L(y / z,u,y * u)) = K(x,u / (z * (y \ u))). [hyper(65,a,14446,a(flip),b,16602,a),flip(a)]. 16606 K(x,L(y,z,u * (u * w))) = K(x,L(y,z,w)). [para(9(a,1),16602(a,1,2,3)),flip(a)]. 16607 x * K(y,L(z,u,u * x)) = (x / u) * (u * K(y,z)). [para(16602(a,1),11455(a,1,2))]. 16608 K(x,L(y,z,L(u,w,w))) = K(x,L(y,z,u)). [para(1840(a,1),16606(a,1,2))]. 16609 K(x,(y * (z \ u)) / ((z \ u) \ u)) != w | K(x,L(y / ((z \ u) \ z),z,z * u)) = w. [para(14468(a,1),16603(a,1))]. 16610 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(15789(a,2),16603(a,1))]. 16611 K(x,L(T(y,z),u,(z * y) * u)) = K(x,u / (z * ((z * y) \ u))). [hyper(65,a,7789,a(flip),b,16605,a)]. 16612 (x \ L(x,y,z)) * K(u,L(w,T(x,x \ 1),T(x,x \ 1) * (x \ L(x,y,z)))) = L(x \ 1,y,z) * (T(x,x \ 1) * K(u,w)). [para(14038(a,1),16607(a,2,1))]. 16613 K(x,L(T(y,z \ y) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). [hyper(16610,a,15234,a)]. 16614 K(x,L(y \ z,u,u * y)) = K(x,u \ ((y / u) \ z)). [hyper(16610,a,14513,a)]. 16615 a(x,y,K(z \ u,w)) = a(x,y,K(z * u,w)). [hyper(36,a,13696,a,b,16604,a)]. 16616 a(x,y,K(z / u,w)) = a(x,y,K(u * z,w)). [hyper(16566,a,16615,a)]. 16617 a(x,y,K(z * (u / w),z)) = a(z,y,K(x,u / (z * w))). [hyper(15821,a,16615,a),flip(a)]. 16618 a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,w / (z * u))). [hyper(65,a,16552,a(flip),b,16617,a)]. 16619 a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,(z * u) * w)). [hyper(290,a,16562,a(flip),b,16618,a),flip(a)]. 16620 a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,u * (z \ w))). [hyper(290,a,13798,a(flip),b,16619,a),flip(a)]. 16621 a(x,y,K(z,u * (x \ w))) = a(z,y,K(x,u \ w)). [hyper(13783,a,16620,a),flip(a)]. 16622 a(x,y,K(z,u * (x \ w))) = a(z,y,K(x,u * w)). [hyper(290,a,13787,a(flip),b,16621,a),flip(a)]. 16623 a(x,y,K(z,(x * u) * w)) = a(z,y,K(x,u * w)). [hyper(65,a,13798,a,b,16622,a)]. 16625 K(x,L(T(y,z * y) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). [hyper(15175,a,16613,a)]. 16626 K(x,L(T(y,y * z) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). [para(3657(a,1),16625(a,1,2,1,1))]. 16627 K(x,(y * (y * z)) \ ((y * z) * u)) = K(x,z \ ((y \ z) * u)). [hyper(65,a,10953,a(flip),b,16626,a)]. 16628 K(x,(y * ((y \ 1) * z)) \ ((y * z) * u)) = K(x,z \ (((y \ 1) \ z) * u)). [para(2889(a,1),16627(a,1,2))]. 16630 ((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y)) = a(x,y,K(z,u)). [para(7102(a,1),16580(a,1,2,2))]. 16631 ((x * y) * K(z,T(u,y))) / L(K(z,u) * y,x,a(x,y,K(z,u))) = (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x. [para(16630(a,1),332(a,1,2,3))]. 16632 L(a(x,y,z) \ 1,x,x) = 1 * (a(x,y,z) \ 1). [para(68(a,1),16591(a,1,1)),flip(a)]. 16633 L(a(x,y,z) \ 1,x,x) = a(x,y,z) \ 1. [hyper(290,a,7,a(flip),b,16632,a),flip(a)]. 16635 L(a(x,y,z) \ 1,x,x) != u \ 1 | a(x,y,z) = u. [para(16633(a,2),50(a,1))]. 16638 K(x,T(y,z)) * a(x,u,K(y * (w \ v5),y)) = K(x,L(T(y,z),u,(w * y) \ v5)). [para(16615(a,1),16554(a,1,2))]. 16639 a(x,y,K(T(z * K(u * w,z),v5) * w,u)) = a(x,y,K(u,w * T(z,v5))). [hyper(290,a,16623,a(flip),b,16575,a),flip(a)]. 16640 a(x,y,K(K(z * u,w) * (T(w,v5) * u),z)) = a(x,y,K(z,u * T(w,v5))). [para(16306(a,1),16639(a,1,3))]. 16641 K(x,T(y,z)) * a(x,u,K(y,w \ v5)) = K(x,L(T(y,z),u,(w * y) \ v5)). [para(13746(a,1),16638(a,1,2))]. 16642 K(x,T(y,z)) * a(x,u,K(y,w * v5)) = K(x,L(T(y,z),u,(w * y) \ v5)). [para(13787(a,1),16641(a,1,2))]. 16643 T(K(x,y) * a(x,z,K(y,u * w)),v5) = K(x,L(T(y,v5),z,(u * y) \ w)). [hyper(65,a,16413,a,b,16642,a)]. 16644 K(x,L(T(y,z),u,(w * y) \ v5)) = T(K(x,L(y,u,w * v5)),z). [para(13692(a,1),16643(a,1,1)),flip(a)]. 16645 K(x,L(T(y,z),u,(w * y) \ v5)) = K(x,L(T(y,z),u,w * v5)). [hyper(290,a,7144,a,b,16644,a),flip(a)]. 16646 K(x,L(T(y,z),u,(w * y) * v5)) = K(x,L(T(y,z),u,w * v5)). [hyper(16603,a,16645,a)]. 16647 K(x,y / (z * ((z * u) \ y))) = K(x,L(T(u,z),y,z * y)). [hyper(65,a,16611,a(flip),b,16646,a)]. 16648 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(13859,a,16560,a),flip(a)]. 16650 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7102(a,1),16648(a,1,1))]. 16652 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10836(a,1),16650(a,1,2))]. 16653 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(459,a,16652,a),flip(a)]. 16654 L(x,y,K(z * z,u)) = x. [hyper(6043,a,16653,a),flip(a)]. 16655 ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = L(x,y,K(z,T(u,y))). [hyper(65,a,7118,a,b,16653,a)]. 16656 L(x / (y * K(x,z)),y * K(x,z),K(z,x)) = (K(z,x) * x) / y. [hyper(65,a,6888,a(flip),b,16653,a),flip(a)]. 16657 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(65,a,6745,a(flip),b,16653,a),flip(a)]. 16658 L((x * y) / z,z,K(y,x)) = (y * x) / (z * ((x * y) \ (y * x))). [hyper(65,a,778,a(flip),b,16653,a),flip(a)]. 16659 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(16653(a,1),100(a,1,1))]. 16660 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(16653(a,1),490(a,1,1))]. 16661 L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(16653(a,1),4881(a,1,1))]. 16662 L(x,y,T(z,u * u)) = L(x,y,z). [hyper(6382,a,16654,a)]. 16663 L(x,y,T(z * z,u)) = x. [hyper(65,a,4482,a(flip),b,16654,a)]. 16665 (T(x * x,y) * z) \ (u * T(x * x,y)) = z \ T(u,x * x). [hyper(65,a,13205,a(flip),b,16663,a)]. 16666 (T(x * x,y) * z) \ u = z \ (T(x * x,y) \ u). [hyper(65,a,273,a(flip),b,16663,a)]. 16667 L(x,y,z * (u * u)) = L(x,y,z). [hyper(65,a,1839,a(flip),b,16662,a)]. 16668 L(x,y,T(z * K(u * u,z),w)) = L(x,y,T(z,w)). [para(4516(a,1),16662(a,1,3)),flip(a)]. 16669 L(x,(y * y) * z,u) = L(x,z,u). [hyper(2223,a,16667,a)]. 16671 L(x,y,z / (u * u)) = L(x,y,z). [para(12(a,1),16667(a,1,3)),flip(a)]. 16672 L(x,y,(z * u) * u) = L(x,y,R(z,u,u)). [para(100(a,1),16667(a,1,3))]. 16673 L(x,(y * y) \ z,u) = L(x,z,u). [para(10(a,1),16669(a,1,2)),flip(a)]. 16674 L(x,T(y,z * z),u) = L(x,y * (z * z),u). [para(104(a,1),16669(a,1,2)),flip(a)]. 16675 L(x,y * (y * z),u) = L(x,L(z,y,y),u). [para(94(a,1),16669(a,1,2))]. 16676 L(x,((y * y) \ z) * u,w) = L(x,z * u,w). [para(109(a,1),16669(a,1,2)),flip(a)]. 16677 L(x,(y \ 1) \ z,u) = L(x,y \ z,u). [para(805(a,1),16669(a,1,2))]. 16678 L(x,K(y * y,z),u) = L(x,T(y * y,z),u). [para(4471(a,2),16669(a,1,2)),flip(a)]. 16679 L(x,y * T(y,z),u) = L(x,K(y,z),u). [para(5732(a,1),16669(a,1,2))]. 16680 L(x,K(y,z),u) = L(x,K(z,y),u). [para(6723(a,1),16669(a,1,2))]. 16681 L(x,K(y,z) * z,u) = L(x,T(z,y),u). [para(6747(a,1),16669(a,1,2))]. 16682 L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w)). [para(4362(a,1),16671(a,1,3))]. 16683 L(x,y,z * (u \ 1)) = L(x,y,z * u). [hyper(2727,a,16673,a)]. 16684 L(x,1 / y,z) = L(x,y,z). [para(441(a,1),16673(a,1,2))]. 16685 L(x,L(y \ z,y,y),u) = L(x,y * z,u). [para(96(a,2),16673(a,1,2))]. 16686 L((x \ 1) \ y,x,x) = x * y. [hyper(2000,a,16684,a),flip(a)]. 16687 L(x,x,y) = (y * (1 / x)) \ y. [hyper(761,a,16684,a),flip(a)]. 16688 T(x * K(y \ 1,x),y \ x) = L(x,y,x). [hyper(65,a,15312,a,b,16684,a)]. 16689 L(T(1 / x,y * x),x,x) = T(1 / x,(1 / x) * y). [hyper(65,a,13646,a(flip),b,16684,a),flip(a)]. 16690 L((1 / T(x,y)) \ z,T(x,y),y) = (T(y,x) * (1 / x)) \ (y * z). [hyper(65,a,5078,a(flip),b,16684,a),flip(a)]. 16691 L(x,y \ 1,z) = L(x,y,z). [hyper(65,a,4275,a(flip),b,16684,a)]. 16692 x \ L(y,x,x) = (x \ 1) * y. [para(16684(a,1),1994(a,1,2))]. 16693 x * L(1 / y,y,x) = x / y. [para(16684(a,1),10599(a,1,2))]. 16694 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u)). [para(16684(a,1),11519(a,1,2)),flip(a)]. 16695 K(x,L(y,z / u,(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). [para(16684(a,1),14034(a,1,2))]. 16696 x * ((x \ 1) * y) = L(y,x,x). [hyper(735,a,16691,a)]. 16697 L((x \ 1) \ y,x,z) = (z * (x \ 1)) \ (z * y). [hyper(65,a,96,a(flip),b,16691,a),flip(a)]. 16698 K(x,(y * z) / ((u * T(u \ z,z)) * ((z \ u) \ 1))) = K(x,L(y / ((z \ u) \ 1),z \ u,z)). [para(16691(a,1),14415(a,2,2))]. 16699 K(x,L((y * L(1 / y,z,u)) \ w,y,L(y,z,u))) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). [para(16691(a,1),14526(a,1,2))]. 16700 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [hyper(120,a,16686,a(flip),b,665,a)]. 16702 (x * (1 / y)) \ x = x \ (x / (y \ 1)). [hyper(65,a,10598,a(flip),b,16687,a),flip(a)]. 16703 L(x,x,x * y) \ (x * y) = (y * x) * (1 / x). [para(16687(a,2),6016(a,1,1))]. 16704 x * (((y \ x) \ 1) \ 1) = x / (x \ y). [para(3030(a,1),16693(a,1,2))]. 16706 x * (x * ((1 / x) * y)) = L(x * y,x,x). [para(724(a,1),16696(a,1,2))]. 16707 K(x,(y * ((1 / y) * z)) / u) = K(x,L(z,y,y) / u). [para(16696(a,1),15443(a,2,2,1))]. 16708 K(x,L(y,z,z) \ ((z * y) * u)) = K(x,y \ (((z \ 1) \ y) * u)). [para(16696(a,1),16628(a,1,2,1))]. 16709 (x * K(y,z)) * L(u,K(z,y),x) = x * (K(y,z) * u). [para(16680(a,1),94(a,1,2))]. 16710 L(x,(1 / y) \ z,u) = L(x,y \ z,u). [para(81(a,1),16677(a,1,2,1)),flip(a)]. 16711 L(x,y \ L(y,z,u),w) = L(x,y * L(y,z,u),w). [para(4370(a,1),16677(a,1,2)),flip(a)]. 16712 L(x,y \ L(1 / y,z,u),w) = L(x,y * L(1 / y,z,u),w). [para(13644(a,1),16677(a,1,2)),flip(a)]. 16713 L(L(x,y,y),K(y,z),K(y,u)) = L(x,T(y,z),T(y,u)). [hyper(6385,a,16679,a),flip(a)]. 16714 L(x,y * K(z,y),u) = L(x,T(y,z),u). [para(3429(a,1),16681(a,1,2))]. 16715 L(x,(y * z) / y,u) = L(x,T(z,y),u). [para(4495(a,2),16681(a,1,2))]. 16716 L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,(z * (u * u)) * w). [para(34(a,1),16683(a,1,3))]. 16717 L(x,y,z * (1 / u)) = L(x,y,z * u). [para(81(a,1),16683(a,1,3,2)),flip(a)]. 16718 L(x,y,z * ((u / (w * w)) \ 1)) = L(x,y,(z * u) / (w * w)). [para(798(a,2),16683(a,2,3))]. 16719 L(x,y,z * (K(u,z) * (w \ 1))) = L(x,y,(z * K(u,z)) * w). [para(5101(a,1),16683(a,1,3))]. 16720 L(x,y,z * (K(u,w) * (v5 \ 1))) = L(x,y,z * (v5 * K(w,u))). [para(14938(a,1),16683(a,1,3,2))]. 16721 (x \ 1) \ (x * ((x \ 1) \ y)) = (1 / x) \ ((x * x) * y). [para(16700(a,1),1213(a,1,2))]. 16722 K(x,y * ((y \ 1) \ z)) = K(x,y * (y * z)). [para(16700(a,1),12837(a,1,2))]. 16723 T(x,y * ((y \ 1) \ z)) = T(x,y * (y * z)). [para(16700(a,1),12857(a,1,2))]. 16724 (x * (1 / ((y \ 1) \ 1))) \ x = x \ (x / T(y \ 1,y)). [para(1789(a,2),16702(a,2,2,2))]. 16725 x * T(y \ x,x \ y) = x / (x \ y). [para(2790(a,2),16704(a,1,2))]. 16726 K(x,T(y / (y \ z),y) * u) = K(x,((((z \ y) \ 1) \ 1) * y) * u). [para(16704(a,1),12468(a,1,2,1,1))]. 16727 T(L(x,x,x) * y,x) = y * L(x,x \ y,x). [para(16710(a,1),2021(a,2,2))]. 16728 L(x,y * K(z,y),z) = L(x,y,T(z,y)). [hyper(290,a,6386,a(flip),b,16714,a),flip(a)]. 16729 L(x,(y * (z * K(y * z,z))) / y,u) = L(x,R(z,y,z),u). [para(4621(a,1),16715(a,2,2))]. 16730 L(x,((y * z) * (y * K(z,y))) / (y * z),u) = L(x,(y * z) / (T(y * z,y) / y),u). [para(7061(a,2),16715(a,2,2))]. 16731 K(x,((y \ z) \ T(z,y)) \ ((y \ z) \ u)) = K(x,L(T(z,y) \ u,T(y,z),y \ z)). [para(16715(a,1),14579(a,1,2)),flip(a)]. 16732 L(x,y \ 1,z * u) = L(x,y,z * (1 / u)). [hyper(290,a,16691,a,b,16717,a)]. 16733 T(x / (x \ y),x / y) = x * (x / y). [para(16725(a,1),13561(a,1,1))]. 16734 L(K(x,y) * (x \ z),x,T(y,x)) = (T(y,x) * x) \ (y * z). [hyper(65,a,5696,a(flip),b,16728,a),flip(a)]. 16735 T(x / (x \ y),y \ x) = x * (x / y). [hyper(65,a,13605,a(flip),b,16733,a)]. 16736 (x / (x \ y)) * (y \ x) = (y \ x) * (x * (x / y)). [para(16735(a,1),104(a,1,2)),flip(a)]. 16737 K(x,y \ (z * T(u / (u \ w),(u / (u \ w)) * (w \ u)))) = K(x,y \ (z * (u * (u / w)))). [para(16735(a,1),12483(a,2,2,2,2))]. 16738 L(x,L(y,T(z,y),T(z,y)),u) = L(x,T(z,y) * (z * ((z * y) / z)),u). [para(3472(a,1),16675(a,1,2,2)),flip(a)]. 16739 L(x,L(L(y \ 1,z,u),y,y),w) = L(x,y * (y \ L(y,z,u)),w). [para(4342(a,1),16675(a,1,2,2)),flip(a)]. 16740 L(x,(1 / y) * z,u) = L(x,y * z,u). [para(663(a,1),16685(a,1,2))]. 16741 L(x,(1 / ((y * y) * z)) * u,w) = L(x,(y * y) * (z * u),w). [para(33(a,1),16740(a,2,2))]. 16742 L(x,(y \ 1) * z,u) = L(x,y * z,u). [para(78(a,1),16740(a,1,2,1)),flip(a)]. 16743 (x * ((1 / y) * z)) * L(u,y * z,x) = x * (((1 / y) * z) * u). [para(16740(a,1),94(a,1,2))]. 16744 L(x,(1 / (y * y)) * (z * ((y * y) \ u)),w) = L(x,T(z,y \ (y \ 1)) * u,w). [para(1191(a,1),16740(a,2,2))]. 16745 L(x,(1 / y) * ((1 / y) * T(y \ z,u)),w) = L(x,T((y \ 1) * z,u),w). [para(4202(a,1),16740(a,2,2))]. 16746 L(x,y * L(1 / y,z,u),w) = L(x,y * L(y,z,u),w). [para(11204(a,1),16742(a,1,2))]. 16747 ((x \ 1) \ 1) * L(y,x,x) = L(x * y,x,x). [hyper(65,a,5686,a,b,16706,a)]. 16748 (x \ 1) * ((x \ 1) * ((1 / (x \ 1)) * (x \ y))) = L((x \ (1 / x)) * y,x \ 1,x \ 1). [para(2320(a,2),16706(a,2,1))]. 16749 L(x,y * (z * z),u) = L(x,y,u). [hyper(65,a,13627,a(flip),b,16674,a),flip(a)]. 16751 (x * x) \ ((y * z) \ (y * ((z * x) * x))) = L(a(z,x,x),z,y). [hyper(65,a,2046,a,b,16749,a)]. 16752 L(x,K(y,z) / u,w) = L(x,K(y,z) * u,w). [para(13212(a,1),16676(a,1,2))]. 16753 L(x,y,L(1 / z,u,w)) = L(x,y,L(z,u,w)). [para(81(a,1),16682(a,1,3,1)),flip(a)]. 16754 K(x,(y * ((y \ 1) \ z)) / u) = K(x,y * (y * (z * (1 / u)))). [hyper(13045,a,16722,a)]. 16755 T(x,y * ((y \ 1) \ z)) = T(x,z * (y * y)). [hyper(290,a,13272,a,b,16723,a),flip(a)]. 16756 T(L(x,x,x) * y,x) = x * ((x \ y) * x). [hyper(290,a,445,a(flip),b,16727,a),flip(a)]. 16757 L(x,T(L(1 / y,1 / y,1 / y) * z,1 / y),u) = L(x,y * (((1 / y) \ z) * (1 / y)),u). [para(16756(a,2),16740(a,1,2))]. 16758 L(x,T(L(y,y,y) * z,y),u) = L(x,(1 / y) * ((y \ z) * y),u). [para(16756(a,2),16740(a,2,2)),flip(a)]. 16759 L((x \ 1) \ 1,x,y * (1 / x)) = R(y,x,x \ 1) \ (y * x). [hyper(65,a,553,a(flip),b,16732,a),flip(a)]. 16760 L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = ((1 / T(x,y)) \ 1) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). [para(7081(a,1),16747(a,1,1,1)),flip(a)]. 16761 L(x * K(y,z),x,x) = ((x \ 1) \ 1) * K(y,z). [para(12784(a,1),16747(a,1,2)),flip(a)]. 16762 K(x,T(((y \ 1) * z) \ u,u * (y * y))) = K(x,(y * ((y \ 1) \ u)) / (y * z)). [para(16755(a,1),7589(a,1,2))]. 16763 K(x,(y * ((z / y) \ 1)) \ (y * u)) = K(x,z / ((u \ 1) * y)). [para(16697(a,1),14489(a,1,2))]. 16764 K(x,L(y,y,y * z)) * ((z * y) * (1 / y)) = T(L(y,y,y * z),x) \ (y * z). [para(16703(a,1),4889(a,1,2))]. 16765 L(x * K(y,z),x,x) = (x \ 1) \ K(y,z). [hyper(290,a,12808,a(flip),b,16761,a),flip(a)]. 16766 L(T(x * K(y,z),u),x,x) = T((x \ 1) \ K(y,z),u). [para(16765(a,1),25(a,2,1))]. 16767 L(x,y,T(T(z,u \ (u \ z)),w)) = L(x,y,T(z,w)). [para(13231(a,2),16668(a,1,3,1))]. 16769 L((x \ L(x,y,z)) \ u,x * L(x,y,z),x) != w | L(x,y,z) \ (x * u) = w. [para(16711(a,1),586(a,1))]. 16770 L(x,y,T(z,u \ (u \ w))) = L(x,y,T(z,w)). [para(13232(a,1),16767(a,1,3))]. 16771 L(x,y,T(z,u \ w)) = L(x,y,T(z,u * w)). [para(9(a,1),16770(a,1,3,2,2))]. 16772 L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z * 1)). [hyper(65,a,13827,a,b,16771,a)]. 16773 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(16657(a,1),15756(a,1,2)),flip(a)]. 16774 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(14681,a,16773,a)]. 16775 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(290,a,14686,a(flip),b,16774,a),flip(a)]. 16776 x * K(x,y * (z \ K(u,w))) = T(x,(K(u,w) * y) / z). [para(16775(a,1),4471(a,2,2)),flip(a)]. 16777 K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(z \ y,z))). [para(5071(a,1),16775(a,1,2,1))]. 16778 (x * y) * K(z,y * x) = x * (y * K(z,y * x)). [para(13702(a,1),16659(a,1,1)),flip(a)]. 16779 (x * K(y,x * z)) * z = x * (z * K(y,z * x)). [hyper(65,a,13762,a,b,16778,a)]. 16780 x / (y * (z * K(u,z * y))) = (x / (y * z)) * K(z * y,u). [para(16778(a,1),11133(a,1,2))]. 16781 (x * (y * K(z,y * x))) / (y * (x * K(z,x * y))) = K(x * K(z,x * y),y). [hyper(121,a,16779,a(flip),b,4401,a)]. 16782 T(1 / x,(1 / x) * y) = T(x \ 1,y * x). [hyper(65,a,2581,a(flip),b,16689,a),flip(a)]. 16783 T(1 / x,x \ y) = T(x \ 1,y * x). [hyper(12854,a,16782,a)]. 16784 T(x \ 1,x * x) = 1 / x. [hyper(197,a,16783,a),flip(a)]. 16785 K(x \ 1,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). [para(16784(a,1),9931(a,2,1,1))]. 16786 L(x,T(y,z),T(y,u)) = L(x,y,y). [hyper(8274,a,16713,a),flip(a)]. 16787 L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. [hyper(673,a,16786,a),flip(a)]. 16789 L(x,y * K(z,y),T(y,u)) = L(x,y,y). [hyper(65,a,16714,a,b,16786,a)]. 16790 1 / L(T(x,y),x,x) = T(x,y) \ 1. [para(16786(a,1),2668(a,1,2))]. 16791 L(T(x,y),x,x) \ 1 = 1 / T(x,y). [para(16786(a,1),13243(a,1,1))]. 16792 T(T(x,y),x \ 1) = L(T(x,y),x,x). [hyper(38,a,7069,a,b,16790,a)]. 16794 1 / T(x,x \ y) = T(x,x * y) \ 1. [para(13271(a,1),16791(a,1,1)),flip(a)]. 16795 K(x,(y / L(T(z,u),z,z)) * w) * K(x,K(w,T(z,u) * y)) = K(x,w * (y / T(T(z,u),z \ 1))). [para(16792(a,1),14883(a,1,1,2,1,2))]. 16796 K(x,K(y \ 1,T(y,z)) * ((u / T(y,z)) * w)) = K(x,(u / L(T(y,z),y,y)) * w). [para(16792(a,1),16152(a,2,2,1,2))]. 16797 T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)) = L(T(x * K(y,x),x \ z),x,x). [hyper(65,a,14278,a,b,16789,a)]. 16798 L(T(x,x * y),x,x) = T(x,x \ y). [hyper(38,a,16790,a,b,16794,a)]. 16799 T((x \ 1) \ 1,x * y) = T(x,x \ y). [hyper(38,a,7058,a,b,16794,a)]. 16800 x * (1 / T(x,x \ y)) = K(x * y,x). [para(16794(a,2),4411(a,2,2)),flip(a)]. 16801 T(x,x \ (x \ y)) = L(T(x,y),x,x). [para(10(a,1),16798(a,1,1,2)),flip(a)]. 16802 x / L(T(x,y),x,x) = K(x \ (x \ y),x). [para(16801(a,1),4408(a,2,2)),flip(a)]. 16803 (x \ 1) \ (a(x,y,y) * (1 / x)) = x \ R(L(T(x,1),x,x),y,y). [para(16801(a,1),10473(a,2,2,1))]. 16804 K(x,K(y * z,(y \ 1) \ 1) * (u * (w / ((y \ 1) \ 1)))) = K(x,u * (w / T(y,y \ z))). [para(16799(a,1),16070(a,2,2,2,2))]. 16805 K(x * (x * y),x) = x * (1 / T(x,y)). [para(9(a,1),16800(a,1,2,2,2)),flip(a)]. 16806 ((x \ 1) \ 1) * K(x * y,x) = x * K(x \ y,x). [para(16800(a,1),6397(a,1,2))]. 16807 T(x,y) \ T(x * (x * (1 / T(x,z))),y) = K(x * (x * z),T(x,y)). [para(16805(a,1),5178(a,1,2,1,2))]. 16808 K(K((x / (1 / y)) * ((x / (1 / y)) * z),x / (1 / y)),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). [para(16805(a,2),4986(a,1,1))]. 16809 K(x,y) \ ((((y * x) / y) \ 1) * z) = (1 / T(x,x \ 1)) * z. [hyper(65,a,13967,a(flip),b,16787,a)]. 16810 K(x \ (x \ y),x) = K(x * (x * y),x). [hyper(13278,a,16802,a),flip(a)]. 16811 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x \ 1) * ((x \ 1) * y),x \ 1). [hyper(65,a,14116,a,b,16810,a)]. 16812 (x \ 1) \ K(x * y,x) = x * K(x \ y,x). [hyper(12903,a,16806,a)]. 16813 x * K(x \ (x \ y),x) = (x \ 1) \ K(y,x). [para(10(a,1),16812(a,1,2,1)),flip(a)]. 16814 L(x \ (y * K(y \ z,y)),x,y) = ((y \ 1) * x) \ K(y * z,y). [para(16812(a,1),1853(a,1,1,2))]. 16815 T(x,y) \ T((x \ 1) \ K(z,x),y) = K(x \ (x \ z),T(x,y)). [para(16813(a,1),5178(a,1,2,1))]. 16817 (x \ y) / ((T(x,x \ y) \ y) / x) = T((x \ 1) \ K(y,x),x \ y). [para(16813(a,1),7083(a,1,1)),flip(a)]. 16818 (1 / x) \ ((x * x) * y) = (x * x) * ((x \ 1) \ y). [hyper(65,a,808,a(flip),b,16721,a),flip(a)]. 16819 ((x * x) * ((x \ 1) \ y)) \ ((1 / x) \ z) = ((1 / x) \ y) \ (x \ z). [para(16818(a,1),2311(a,1,1))]. 16820 x \ (x / T(y \ 1,y)) = (x * (y \ 1)) \ x. [para(78(a,1),16724(a,1,1,2)),flip(a)]. 16822 (x * (y \ 1)) \ x = x \ (x / (1 / y)). [para(2563(a,1),16820(a,1,2,2)),flip(a)]. 16823 ((x * y) * (y \ 1)) \ (x * y) = (x * y) \ (x * (y * y)). [para(703(a,1),16822(a,2,2))]. 16824 T(x,(K(y,z) * u) / w) = T(x,u * (w \ K(y,z))). [hyper(4475,a,16776,a),flip(a)]. 16826 (x * y) \ (x * (y * y)) = R(x,y,y) \ (x * y). [para(787(a,1),16823(a,1,1)),flip(a)]. 16827 R(x,y,y) \ (x * y) = L(y,y,x). [hyper(463,a,16826,a),flip(a)]. 16829 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(13704(a,1),16660(a,1,1))]. 16830 x \ ((y * z) / y) = (x \ z) * K(y,z). [hyper(65,a,4607,a,b,16829,a)]. 16833 L(x,y,z \ ((u * w) / u)) = L(x,y,(z \ w) * (K(u,w) \ 1)). [para(16830(a,2),16683(a,2,3)),flip(a)]. 16834 L(x,T(y * z,z) / y,u) = L(x,R(z,y,z),u). [para(5044(a,1),16729(a,1,2,1))]. 16835 L(K(x,y) * (x \ z),x,y) = (T(y,x) * x) \ (y * z). [hyper(10945,a,16734,a)]. 16837 ((T(x * x,y) * z) \ u) * T(x * x,y) = z \ T(u,x * x). [hyper(65,a,1027,a(flip),b,16665,a)]. 16838 L(x,y \ L(1 / y,z,u),w) = L(x,y * L(y,z,u),w). [hyper(290,a,16746,a(flip),b,16712,a),flip(a)]. 16839 L(x,y \ L(y \ 1,z,u),y) = L(x,y * L(y,z,u),y). [hyper(10955,a,16838,a)]. 16840 L((x \ L(x,y,z)) \ u,x * L(x,y,z),x) = L(x \ 1,y,z) \ ((x \ 1) * u). [hyper(65,a,9187,a(flip),b,16839,a),flip(a)]. 16841 L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,z * ((u * u) * w)). [para(34(a,1),16716(a,2,3))]. 16842 L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,(z * w) / (u * u)). [para(804(a,1),16718(a,1,3,2))]. 16843 L(x,y,(z * K(u,z)) * w) = L(x,y,z * (w * K(z,u))). [hyper(65,a,16719,a(flip),b,16720,a)]. 16844 L(x,y,z * (K(u,z) * w)) = L(x,y,z * (w * K(z,u))). [para(5101(a,1),16843(a,1,3))]. 16845 L(x,y,z * (K(u,z) * w)) = L(x,y,T(z,u) * w). [hyper(290,a,15856,a(flip),b,16844,a),flip(a)]. 16846 L(x,y,((z * u) / z) * w) = L(x,y,T(u,z) * w). [para(5064(a,2),16845(a,1,3))]. 16847 L(x,y,(z * (u / z)) * w) = L(x,y,T(u,z) * w). [hyper(65,a,12466,a(flip),b,16846,a)]. 16848 L(x,y,(((((z * z) \ u) * w) / u) * (z * z)) * v5) = L(x,y,T(w,(z * z) \ u) * v5). [para(685(a,1),16846(a,1,3,1))]. 16849 L(x,y,((T(z,u) * w) / z) * v5) = L(x,y,T(K(z,u) * w,z) * v5). [para(4437(a,1),16846(a,1,3,1,1))]. 16850 K(x,L((y * (z / y)) / u,w,T(z,y) * w)) = K(x,w / (u * ((y * (z / y)) \ w))). [para(16847(a,1),16605(a,1,2))]. 16851 L(x,(1 / y) * ((z * z) \ u),w) = L(x,(z * z) * (y * u),w). [para(711(a,1),16741(a,1,2))]. 16853 L(a(x,y,y),x,K(z,u)) = a(K(z,u) * x,y,y). [hyper(65,a,14528,a(flip),b,16751,a),flip(a)]. 16854 K(x,(y * ((y \ 1) \ z)) / u) = K(x,y * (y * (z * (u \ 1)))). [hyper(290,a,5270,a(flip),b,16754,a),flip(a)]. 16855 L((x \ 1) \ 1,x,y * (1 / x)) = R(y,x,x) \ (y * x). [para(788(a,1),16759(a,2,1))]. 16856 L((x \ 1) \ 1,x,y * x) = R(y,x,x) \ (y * x). [hyper(65,a,16717,a(flip),b,16855,a)]. 16857 L(x,y,L(z \ 1,z,u * z)) = L(x,y,R(u,z,z) \ (u * z)). [para(16856(a,1),16682(a,1,3)),flip(a)]. 16858 K(x,y / (((z \ u) \ 1) * z)) = K(x,(z * ((y / z) \ 1)) \ u). [para(10(a,1),16763(a,1,2,2)),flip(a)]. 16859 K(x,y) \ ((((y * x) / y) \ 1) * z) = (x \ 1) * z. [para(254(a,1),16809(a,2,1))]. 16860 K(x,y) * ((((x * y) / x) \ 1) * z) = (y \ 1) * z. [hyper(4855,a,16859,a)]. 16861 K(x,L(((((y * z) / y) \ 1) * u) \ w,(((y * z) / y) \ 1) * u,K(y,z))) = K(x,((z \ 1) * u) \ (K(y,z) * w)). [para(16860(a,1),6069(a,2,2,1))]. 16862 L(x,y,z \ ((u * w) / u)) = L(x,y,(z \ w) * K(w,u)). [para(4810(a,1),16833(a,2,3,2))]. 16863 L(x,y,z \ ((u * w) / u)) = L(x,y,z \ T(w,u)). [para(13120(a,1),16862(a,2,3))]. 16864 K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,y \ T(u,z))) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). [para(16863(a,1),14751(a,1,2))]. 16865 (x \ (T(y * y,z) \ u)) * T(y * y,z) = x \ T(u,y * y). [para(16666(a,1),16837(a,1,1))]. 16866 L(x,y,(z * u) / (w * w)) = L(x,y,z * ((w * w) * u)). [hyper(65,a,16841,a(flip),b,16842,a),flip(a)]. 16867 L(x,y,z * ((u * u) * w)) = L(x,y,z * w). [hyper(65,a,16671,a(flip),b,16866,a),flip(a)]. 16869 L(x,y,T(z,u * u) * w) = L(x,y,z * w). [hyper(65,a,1843,a,b,16867,a)]. 16871 L(x,y,z * (T(z \ 1,u * u) \ w)) = L(x,y,w). [hyper(65,a,2091,a(flip),b,16869,a),flip(a)]. 16873 L(x,y,K(z * z,u \ 1) * w) = L(x,y,w). [hyper(65,a,4761,a(flip),b,16871,a)]. 16875 L(x,y,K(z,u * u) * w) = L(x,y,w). [para(11093(a,1),16873(a,1,3,1))]. 16876 L(x,y,z * (u * K(w,v5 * v5))) = L(x,y,z * u). [hyper(65,a,15861,a(flip),b,16875,a)]. 16878 L(x,(y * y) * (z * u),w) = L(x,z * ((y * y) \ u),w). [hyper(65,a,16740,a(flip),b,16851,a),flip(a)]. 16879 L(x,y * ((z * z) \ u),w) = L(x,y * u,w). [hyper(65,a,16669,a(flip),b,16878,a),flip(a)]. 16881 L(x,y * (1 / z),u) = L(x,y * z,u). [para(441(a,1),16879(a,1,2,2))]. 16882 L(x,y * (z \ 1),u) = L(x,y * z,u). [hyper(65,a,4276,a(flip),b,16881,a)]. 16883 L(x,(y * z) * (T(y,z) \ 1),u) = L(x,(T(y,z) * z) * y,u). [para(3966(a,2),16882(a,2,2))]. 16884 L(x,(y * z) * (K(u,u \ z) \ 1),w) = L(x,y * (u * (z / u)),w). [para(10813(a,1),16882(a,2,2))]. 16885 K(x,(y * ((y \ 1) \ z)) / u) = K(x,z * (u \ (y * y))). [hyper(290,a,13975,a(flip),b,16854,a),flip(a)]. 16886 L(x,y,R(z,u,u) \ (z * u)) = L(x,y,L(u,u,z * u)). [hyper(65,a,16682,a(flip),b,16857,a),flip(a)]. 16887 K(x,y / (z * ((u / z) \ 1))) = K(x,(z * ((y / z) \ 1)) \ u). [hyper(65,a,15493,a(flip),b,16858,a)]. 16888 (T(x * x,y) \ z) * T(x * x,y) = T(z,x * x). [hyper(15890,a,16865,a(flip))]. 16889 L(x,(T(y,z) * z) * y,u) = L(x,R(z,y,y),u). [para(14441(a,1),16883(a,1,2)),flip(a)]. 16890 (K(x,y) * y) / z = y / (z * K(y,x)). [hyper(65,a,13705,a(flip),b,16656,a),flip(a)]. 16892 (x * K(y,x)) / z = x / (z * K(x,y)). [para(3429(a,1),16890(a,1,1))]. 16893 ((x * y) * K(T(z,y),x * y)) / u = (x * y) / (u * K(y * x,z)). [para(11010(a,1),16892(a,2,2,2))]. 16894 (x * y) / (z * ((y * x) \ (x * y))) = (y * x) / z. [hyper(65,a,13708,a(flip),b,16658,a),flip(a)]. 16895 (x * y) / (z * K(x,y)) = (y * x) / z. [para(16(a,2),16894(a,1,2,2))]. 16896 (x * (y * z)) / (L(x,z,y) * (y * z)) = ((y * z) * x) / (y * (z * x)). [para(13032(a,1),16895(a,1,2))]. 16897 (T(x,y) * (1 / y)) \ (x * z) = L((1 / T(y,x)) \ z,y,x). [hyper(10943,a,16690,a),flip(a)]. 16898 K(x,T(y * z,T(y,u) * (1 / u)) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). [para(16897(a,1),12291(a,2,2))]. 16899 K(x,L(y \ z,1 / y,1 / y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). [para(664(a,1),16708(a,1,2,2,1))]. 16900 L(x,L(L(y \ 1,z,u),y,y),w) = L(x,L(y,z,u),w). [para(10(a,1),16739(a,2,2))]. 16902 L(x,L((1 / y) * 1,z,u),w) = L(x,L(y,z,u),w). [para(669(a,1),16900(a,1,2))]. 16903 L(x,L(1 / y,z,u),w) = L(x,L(y,z,u),w). [para(8(a,1),16902(a,1,2,1))]. 16904 (x \ 1) * ((x * y) * z) = x * (((1 / x) * y) * z). [hyper(65,a,1854,a(flip),b,16743,a)]. 16905 L(x,T(L(y,y,y) * z,y),u) = L(x,T((1 / y) * z,y),u). [para(819(a,1),16758(a,2,2))]. 16906 (x \ 1) \ (a(x,y,y) * (1 / x)) = x \ R(L(x,x,x),y,y). [para(191(a,1),16803(a,2,2,1,1))]. 16907 (x \ 1) \ (a(x,y,y) * (1 / x)) = x \ L(R(x,y,y),x,x). [para(29(a,1),16906(a,2,2))]. 16908 (x \ 1) \ (a(x,y,y) * (1 / x)) = (x \ 1) * R(x,y,y). [hyper(290,a,16692,a(flip),b,16907,a),flip(a)]. 16909 (x \ 1) \ (a(x,y,y) * (1 / x)) = x * R(1 / x,y,y). [hyper(290,a,1756,a(flip),b,16908,a),flip(a)]. 16910 (x \ 1) \ R(1 / x,y,y) = x * R(1 / x,y,y). [para(2208(a,1),16909(a,1,2))]. 16911 T(x,y * (z * R(1 / z,u,u))) = T(x,y * a(z,u,u)). [para(16910(a,1),4242(a,1,2,2))]. 16912 K(x,(y * R(1 / y,z,z)) \ u) = K(x,a(y,z,z) \ u). [para(16910(a,1),6251(a,1,2,1))]. 16913 K(x,y * (z * (u * R(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). [para(16910(a,1),6595(a,1,2,2,2))]. 16914 K(x,(y * R(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). [para(16910(a,1),13854(a,1,2,1))]. 16915 T(x,y * (z * L(1 / z,u,u))) = T(x,y * a(z,u,u)). [hyper(65,a,16493,a(flip),b,16911,a)]. 16916 K(x,(y * L(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). [hyper(65,a,16504,a(flip),b,16914,a)]. 16917 T(x,y * (z \ L(z,u,u))) = T(x,y * a(z,u,u)). [hyper(65,a,14015,a(flip),b,16915,a)]. 16918 (x \ L(x,y,y)) * K(z,T(u,w * a(x,y,y))) = T(K(z,u) * (x \ L(x,y,y)),w). [para(16917(a,1),14471(a,1,2,2))]. 16919 ((1 / x) * y) \ K(x \ z,x) = ((x \ 1) * y) \ K(x * z,x). [hyper(65,a,13268,a(flip),b,16814,a)]. 16920 ((x \ 1) * y) \ K(x * y,x) = L(y / x,x,x) \ 1. [hyper(65,a,6646,a(flip),b,16919,a),flip(a)]. 16921 L(x,y,((z \ 1) * u) * K(z * u,z)) = L(x,y,L(u / z,z,z) \ 1). [para(16920(a,1),12824(a,1,3)),flip(a)]. 16922 K(x,((((y \ z) \ 1) \ 1) * z) * u) = K(x,((z \ y) \ z) * u). [hyper(65,a,12329,a(flip),b,16726,a),flip(a)]. 16923 K(x,(T(y \ z,1) * z) * u) = K(x,((z \ y) \ z) * u). [hyper(12575,a,16922,a)]. 16924 K(x,((y \ z) \ y) * u) = K(x,((z \ y) * y) * u). [para(191(a,1),16923(a,1,2,1,1)),flip(a)]. 16925 K(x,((y \ z) \ y) * u) = K(x,(y * (y / z)) * u). [hyper(290,a,16503,a(flip),b,16924,a),flip(a)]. 16926 K(x * 1,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). [para(13207(a,1),16785(a,1,1))]. 16927 T(x,y) \ T((x \ 1) \ K(z,x),y) = K(x * (x * z),T(x,y)). [para(6055(a,1),16807(a,1,2,1))]. 16928 K(x \ (x \ y),T(x,z)) = K(x * (x * y),T(x,z)). [hyper(65,a,16815,a(flip),b,16927,a)]. 16929 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) * ((x \ 1) * y),T(x \ 1,y)). [para(16928(a,1),14275(a,2,2))]. 16930 ((x \ 1) \ y) \ ((x * x) \ ((1 / x) \ z)) = ((1 / x) \ y) \ (x \ z). [hyper(562,a,16819,a)]. 16931 L(x,(y * z) * K(u \ z,u),w) = L(x,y * (u * (z / u)),w). [para(4810(a,1),16884(a,1,2,2))]. 16932 L(x,y * ((z \ u) * z),w) = L(x,y * (z * (u / z)),w). [para(10817(a,1),16931(a,1,2))]. 16933 ((x * y) * K(z,y * x)) / u = (x * y) / (u * K(y * x,z)). [para(10983(a,1),16893(a,1,1,2))]. 16934 (x * (y * K(z,y * x))) / u = (x * y) / (u * K(y * x,z)). [para(16778(a,1),16933(a,1,1))]. 16935 K(x,y * (z * (u * L(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). [hyper(65,a,16507,a(flip),b,16913,a)]. 16936 K(x,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). [para(8(a,1),16926(a,1,1,1))]. 16937 a(x,x,x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). [para(6188(a,1),16936(a,1,1))]. 16938 a(x,x,x) * (y * K(x \ 1,y)) = ((x \ 1) * y) / (1 / x). [hyper(290,a,6554,a(flip),b,16937,a),flip(a)]. 16939 a(((x \ 1) * y) / (1 / x),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). [para(16938(a,1),14043(a,1,1))]. 16940 ((x \ 1) \ y) \ ((1 / (1 / x)) \ z) = ((1 / x) \ y) \ (x \ z). [para(706(a,1),16930(a,1,2))]. 16941 ((x \ 1) \ y) \ (((x \ 1) \ 1) \ z) = ((1 / x) \ y) \ (x \ z). [para(2570(a,1),16940(a,1,2,1))]. 16942 (((1 / x) \ 1) \ (x \ y)) * ((x \ 1) \ 1) = x \ T(y,x). [para(16941(a,1),14051(a,1,1))]. 16943 (x \ (x \ y)) * ((x \ 1) \ 1) = x \ T(y,x). [para(81(a,1),16942(a,1,1,1))]. 16944 x \ T(x * y,x) = (x \ y) * ((x \ 1) \ 1). [para(9(a,1),16943(a,1,1,2)),flip(a)]. 16945 (x \ y) * T(x,x \ 1) = x \ T(x * y,x). [hyper(290,a,285,a,b,16944,a)]. 16946 x \ T(x * ((1 / x) \ y),x) = ((1 / x) \ (x \ y)) * x. [hyper(65,a,8833,a(flip),b,16945,a),flip(a)]. 16947 x \ T((x * x) * y,x) = ((1 / x) \ (x \ y)) * x. [para(677(a,1),16946(a,1,2,1))]. 16948 x \ T((x * x) * y,x) = (x \ ((x \ 1) \ y)) * x. [para(807(a,1),16947(a,2,1))]. 16949 x \ T((x * x) * y,x) = (x \ 1) \ T(y,x). [hyper(290,a,2063,a(flip),b,16948,a),flip(a)]. 16950 K(x,y * (z * (u \ L(u,w,w)))) = K(x,y * (z * a(u,w,w))). [hyper(65,a,13645,a(flip),b,16935,a)]. 16951 K(x,y * ((z \ L(z,u,u)) * w)) = K(x,y * (w * a(z,u,u))). [hyper(65,a,16218,a,b,16950,a)]. 16952 a((x \ 1) \ (y * (1 / x)),z,u) = a(((x \ 1) * y) / x,z,u). [hyper(65,a,2177,a(flip),b,16939,a),flip(a)]. 16953 a(((x \ 1) * y) / x,z,u) = a((x \ 1) \ (y * x),z,u). [hyper(65,a,2368,a(flip),b,16952,a),flip(a)]. 16954 a(((x \ 1) * y) / x,z,u) = a(x \ (y * x),z,u). [hyper(290,a,2167,a(flip),b,16953,a),flip(a)]. 16955 a(((x \ 1) * y) / x,z,u) = a(T(y,x),z,u). [para(22(a,2),16954(a,2,1))]. 16956 L(x,x \ y,K(z,y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(12051(a,1),16661(a,1,1))]. 16957 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(13704(a,1),16956(a,1,1)),flip(a)]. 16961 L(x,L(y,T(z,y),T(z,y)),u) = L(x,z * (T(z,y) * ((z * y) / z)),u). [para(1108(a,1),16738(a,2,2))]. 16962 a(x,y,z) = (z * (x * y)) / (L(z,y,x) * (x * y)). [hyper(290,a,16579,a,b,16896,a)]. 16963 K((L(x,y,z) * (z * y)) / (x * (z * y)),u) = K(a(z,y,x) \ 1,u). [para(16962(a,2),5195(a,1,1,1)),flip(a)]. 16964 K(a(x,y,z) \ 1,u) = a(x,y,K(u,z)). [hyper(65,a,14495,a(flip),b,16963,a),flip(a)]. 16966 K(x,((a(y,z,u) \ 1) \ w) * T(a(y,z,u) \ 1,v5)) = K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)). [para(16964(a,1),13352(a,1,2,1,1)),flip(a)]. 16967 L(x,y,((z \ 1) * u) * K(z * u,z)) = L(x,y,L(u / z,z,z)). [hyper(290,a,1846,a(flip),b,16921,a),flip(a)]. 16968 L(x,y,((z \ 1) * u) * K(u * z,z)) = L(x,y,L(u / z,z,z)). [para(5094(a,2),16967(a,1,3,2))]. 16969 L(x,y,(z \ 1) * (u * K(u * z,z))) = L(x,y,L(u / z,z,z)). [para(11505(a,1),16968(a,1,3))]. 16970 L(x,y,z * (u * K(u * z,z))) = L(x,y,L(u / z,z,z)). [hyper(65,a,1858,a(flip),b,16969,a)]. 16971 L(x,y,L(z / u,u,u)) = L(x,y,T(u * z,u)). [para(6973(a,1),16970(a,1,3)),flip(a)]. 16972 L(x,y,T(z * (u * z),z)) = L(x,y,L(u,z,z)). [para(11(a,1),16971(a,1,3,1)),flip(a)]. 16973 L(x,y,(z * u) * u) = L(x,y,L(z,u,u)). [hyper(65,a,12050,a(flip),b,16972,a)]. 16974 L(x,y,R(z,u,u)) = L(x,y,L(z,u,u)). [hyper(65,a,16672,a(flip),b,16973,a)]. 16975 L(x,x,L(y,x,x)) = R(y,x,x) \ (y * x). [hyper(65,a,1593,a(flip),b,16974,a),flip(a)]. 16976 L(x,x,L(y,x,x)) = L(x,x,y). [hyper(290,a,16827,a(flip),b,16975,a),flip(a)]. 16977 L(x,L(y,T(z,y),T(z,y)),u) = L(x,z * (z * ((T(z,y) * y) / z)),u). [para(9932(a,1),16961(a,2,2,2))]. 16978 L(x,L((T(y,z) * z) / y,y,y),u) = L(x,L(z,T(y,z),T(y,z)),u). [hyper(290,a,16675,a(flip),b,16977,a)]. 16979 L(x,L((T(y,z) * z) / y,y,y),u) = L(x,L(z,y,y),u). [para(16786(a,1),16978(a,2,2))]. 16981 L(x,L(T(y \ z,u),1 / y,1 / y),w) = L(x,T((y \ 1) * z,u),w). [hyper(65,a,16675,a(flip),b,16745,a)]. 16982 L(x,L(T(y \ z,u),1 / y,y),w) = L(x,T((y \ 1) * z,u),w). [para(1844(a,1),16981(a,1,2))]. 16983 L(x,L(T(y \ z,u),y,y),w) = L(x,T((y \ 1) * z,u),w). [para(16684(a,1),16982(a,1,2))]. 16984 L(x,T((1 / y) * z,u),w) = L(x,T((y \ 1) * z,u),w). [para(667(a,1),16983(a,1,2))]. 16985 L(x,T(L(y,y,y) * z,y),u) = L(x,T((y \ 1) * z,y),u). [hyper(65,a,16905,a,b,16984,a)]. 16986 L(x,(y \ (y \ 1)) * (z * ((y * y) \ u)),w) = L(x,T(z,y \ (y \ 1)) * u,w). [para(720(a,1),16744(a,1,2,1))]. 16987 K(x,T(((y \ 1) * z) \ u,u)) = K(x,(y * ((y \ 1) \ u)) / (y * z)). [hyper(13189,a,16762,a)]. 16989 K(x,(y * ((y \ 1) \ z)) / (y * u)) != w | K(x,z / ((y \ 1) * u)) = w. [para(16987(a,1),7743(a,1))]. 16990 K(x,y * ((z * u) \ (z * z))) = K(x,y / ((z \ 1) * u)). [hyper(16989,a,16885,a),flip(a)]. 16991 K(x,y * ((z * u) \ (z * z))) != w | K(x,y / ((z \ 1) * u)) = w. [para(16885(a,1),16989(a,1))]. 16992 K(x,((y * z) \ (y * y)) * T(u,(y * z) \ (y * y))) = K(x,u / ((y \ 1) * z)). [para(104(a,2),16990(a,1,2))]. 16993 T(L(x,x,x * y),z) \ (x * y) = K(z,x) * ((y * x) * (1 / x)). [para(6080(a,1),16764(a,1,1)),flip(a)]. 16995 K(x,y / (T(L(z,z,z * u),w) \ (z * u))) = K(x,y * (((u * z) * (1 / z)) \ K(z,w))). [para(16993(a,2),12981(a,1,2,2))]. 16996 ((x * (y * K(z,y * x))) / (y * x)) * K(x * y,z) = K(x * K(z,x * y),y). [hyper(65,a,16780,a(flip),b,16781,a)]. 16997 L(x \ 1,y,z) \ ((x \ 1) * u) = L(x,y,z) \ (x * u). [hyper(16769,a,16840,a),flip(a)]. 16998 K(x,y * (L(z \ 1,u,w) \ ((z \ 1) * z))) = K(x,(y / L(z,u,w)) * (z * z)). [para(16997(a,2),13108(a,2,2,2)),flip(a)]. 16999 L(x,(y * y) \ (z * ((y * y) \ u)),w) = L(x,T(z,y \ (y \ 1)) * u,w). [para(723(a,1),16986(a,1,2))]. 17000 L(x,((y * y) \ z) * ((y * y) \ u),w) = L(x,T(z,y \ (y \ 1)) * u,w). [para(400(a,1),16999(a,1,2))]. 17001 L(x,T(y,z \ (z \ 1)) * u,w) = L(x,((z * z) \ y) * u,w). [hyper(65,a,16879,a(flip),b,17000,a),flip(a)]. 17003 L(x,T(y,z \ (z \ 1)) * u,w) = L(x,y * u,w). [hyper(290,a,16676,a(flip),b,17001,a),flip(a)]. 17004 L(x,y * T(y,z \ (z \ 1)),u) = x. [hyper(469,a,17003,a),flip(a)]. 17006 L(x,K(y,z \ (z \ 1)),u) = x. [hyper(65,a,16679,a(flip),b,17004,a)]. 17007 L(x,K(y * y,z),u) = x. [para(5182(a,1),17006(a,1,2))]. 17008 L(x,T(y * y,z),u) = x. [hyper(65,a,16678,a(flip),b,17007,a)]. 17010 (x * T(y * y,z)) \ u = T(y * y,z) \ (x \ u). [hyper(65,a,273,a(flip),b,17008,a)]. 17011 K(x,y * y) * ((T(y * y,z) \ (x \ u)) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). [para(17010(a,1),14259(a,1,2,1))]. 17012 K(x,((y * z) \ (y * y)) * T(u,z \ y)) = K(x,u / ((y \ 1) * z)). [para(13074(a,1),16992(a,1,2,2))]. 17013 K(x,((y * z) \ (y * y)) * T(u,z * y)) = K(x,u / ((y \ 1) * z)). [hyper(15115,a,17012,a)]. 17014 K(x,y * (y * ((y * z) \ T(u,z * y)))) = K(x,u / ((y \ 1) * z)). [hyper(65,a,15202,a(flip),b,17013,a)]. 17015 K(x,((y \ 1) * z) \ T(u,z * y)) = K(x,u / ((y \ 1) * z)). [hyper(15205,a,17014,a)]. 17016 K(x,T(y,z * u) / ((u \ 1) * z)) = K(x,((u \ 1) * z) \ y). [hyper(15416,a,17015,a),flip(a)]. 17018 ((x * y) / ((y * x) * K(y * x,z))) * K(x * y,z) = K(x * K(z,x * y),y). [para(16934(a,1),16996(a,1,1))]. 17019 K(x,y * (L(z \ 1,u,w) \ ((z \ 1) * z))) = K(x,y * (L(z,u,w) \ (z * z))). [hyper(290,a,13108,a(flip),b,16998,a),flip(a)]. 17020 ((x * y) / T(y * x,z)) * K(x * y,z) = K(x * K(z,x * y),y). [para(4471(a,2),17018(a,1,1,2))]. 17021 (K(x,y) * K(z,y * x)) * K(x * y,z) = K(x * K(z,x * y),y). [para(6778(a,1),17020(a,1,1))]. 17022 K(x,y * (L(z \ 1,u,w) \ K(z,z \ 1))) = K(x,y * (L(z,u,w) \ (z * z))). [para(2560(a,2),17019(a,1,2,2,2))]. 17023 K(x,y * (L(1 / z,u,w) \ 1)) = K(x,y * (L(z,u,w) \ (z * z))). [para(4334(a,1),17022(a,1,2,2))]. 17024 K(x,y * (L(z,u,w) \ (z * z))) = K(x,y / L(1 / z,u,w)). [hyper(12975,a,17023,a),flip(a)]. 17025 K(x,y * (L(z,u,w) \ (z * z))) = K(x,y / L(z \ 1,u,w)). [hyper(290,a,5090,a(flip),b,17024,a),flip(a)]. 17026 K(x,y * (z * (L(z,u,w) \ z))) = K(x,y / L(z \ 1,u,w)). [para(1317(a,1),17025(a,1,2,2))]. 17027 K(x,y / L(z \ 1,u,u)) = K(x,y * (z * a(u,u,z))). [para(2221(a,1),17026(a,1,2,2,2)),flip(a)]. 17028 K(x,((y \ z) \ T(z,y)) \ ((y \ z) \ u)) != w | K(x,L(T(z,y) \ u,T(y,z),y * z)) = w. [para(16731(a,2),16603(a,1))]. 17029 K(x,K(y,y \ 1) * ((z / T(y,u)) * w)) = K(x,(z / L(T(y,u),y,y)) * w). [hyper(14754,a,16796,a)]. 17030 K(x,(y / L(T(z,u),z,z)) * w) = K(x,(y / T(z,u)) * w). [hyper(12321,a,17029,a),flip(a)]. 17033 K(x,(y * (z \ u)) / T(z,u)) != w | K(x,L(y / ((z \ u) \ z),z,z * u)) = w. [para(13907(a,1),16609(a,1))]. 17034 L(x,(y * z) / (T(y * z,y) / y),u) = L(x,T(z * y,y) / z,u). [para(9016(a,1),16730(a,1,2)),flip(a)]. 17035 L(x,(y * z) / (T(y * z,y) / y),u) = L(x,R(y,z,y),u). [hyper(290,a,16834,a(flip),b,17034,a),flip(a)]. 17036 L(x,R(y,z,y),u) = L(x,L(y,z,y),u). [para(7062(a,1),17035(a,1,2)),flip(a)]. 17037 L(x,L(y,z,y),u) = L(x,y,u). [hyper(65,a,12582,a(flip),b,17036,a),flip(a)]. 17039 L(x,T(y / z,y),u) = L(x,z \ y,u). [para(3735(a,1),17037(a,1,2))]. 17040 L(x,y / z,(y / u) \ u) = L(x,z \ y,(y / u) \ u). [hyper(65,a,13628,a(flip),b,17039,a)]. 17041 K(x,L(y,z \ u,(u / z) \ z)) = K(x,L(y,z,(1 / (u / z)) \ z)). [para(17040(a,1),16695(a,1,2))]. 17042 L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z)). [para(8(a,1),16772(a,2,3,2))]. 17043 L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,z \ T(u,z)). [para(106(a,1),17042(a,2,3))]. 17044 L(x,y,(z \ 1) \ T(u,z \ 1)) = L(x,y,z \ T(u,z)). [hyper(65,a,13622,a(flip),b,17043,a)]. 17045 L(x,y,z \ T(u,z \ 1)) = L(x,y,z \ T(u,z)). [hyper(65,a,1841,a(flip),b,17044,a)]. 17046 L(x,y,z \ T(u,z)) = L(x,y,u / z). [hyper(65,a,15884,a(flip),b,17045,a),flip(a)]. 17047 L(x,y,T(z,u) \ u) = L(x,y,u / z). [para(3604(a,2),17046(a,1,3))]. 17048 L(x,y,z / (u / z)) = L(x,y,(z \ u) \ z). [para(106(a,1),17047(a,1,3,1)),flip(a)]. 17049 L(x,y,(z / y) \ y) = L(x,y,(y \ z) \ y). [hyper(65,a,12062,a(flip),b,17048,a)]. 17050 L(x,y \ z,(z / y) \ y) = L(x,y \ z,(y \ z) \ y). [hyper(65,a,11130,a(flip),b,17048,a)]. 17051 K(x,L(y,z \ u,(z \ u) \ z)) = K(x,L(y,z,(1 / (u / z)) \ z)). [para(17050(a,1),17041(a,1,2))]. 17052 K(x,L(y,z \ u,(z \ u) * z)) = K(x,L(y,z,(1 / (u / z)) \ z)). [hyper(16603,a,17051,a)]. 17053 K(x,L(y,z \ u,T(u,z))) = K(x,L(y,z,(1 / (u / z)) \ z)). [para(12056(a,1),17052(a,1,2))]. 17054 K(x,L(y,z \ u,u)) = K(x,L(y,z,(1 / (u / z)) \ z)). [hyper(65,a,15766,a(flip),b,17053,a)]. 17056 K(x,L(y,z \ u,u)) = K(x,L(y,z,(u / z) \ z)). [para(1857(a,1),17054(a,2,2))]. 17057 K(x,L(y,z \ u,u)) = K(x,L(y,z,(z \ u) \ z)). [para(17049(a,1),17056(a,2,2))]. 17058 K(x,L(y,z \ u,u)) = K(x,L(y,z,(z \ u) * z)). [hyper(290,a,16602,a(flip),b,17057,a),flip(a)]. 17059 K(x,L(y,z \ u,u)) = K(x,L(y,z,T(u,z))). [para(12056(a,1),17058(a,2,2))]. 17060 K(x,L(y,z \ u,u)) = K(x,L(y,z,u)). [hyper(290,a,15766,a(flip),b,17059,a),flip(a)]. 17062 L(x,y,(((T(z,u * u) * w) / z) * (u * u)) * v5) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). [para(693(a,1),16848(a,1,3,1,1,1))]. 17063 L(x,y,(((z * z) \ ((u * w) / u)) * (z * z)) * v5) = L(x,y,T(w,(z * z) \ u) * v5). [para(1001(a,1),16848(a,1,3,1,1))]. 17064 L(x,y,T((z * u) / z,w * w) * v5) = L(x,y,T(u,(w * w) \ z) * v5). [para(621(a,1),17063(a,1,3,1))]. 17065 L(x,y,T(z,(u * u) \ w) * v5) = L(x,y,((w * z) / w) * v5). [hyper(65,a,16869,a(flip),b,17064,a),flip(a)]. 17067 L(x,y,T(z,(u * u) \ w) * v5) = L(x,y,T(z,w) * v5). [hyper(290,a,16846,a(flip),b,17065,a),flip(a)]. 17068 L((x \ (1 / x)) * y,x \ 1,x \ 1) = (x \ 1) * ((x \ 1) * (x * (x \ y))). [para(78(a,1),16748(a,1,2,2,1)),flip(a)]. 17069 L((x \ (1 / x)) * y,x \ 1,x \ 1) = (x \ 1) * ((x \ 1) * y). [para(10(a,1),17068(a,2,2,2))]. 17072 L((x \ 1) * (x \ y),x \ 1,x \ 1) = (x \ 1) * ((x \ 1) * y). [para(2320(a,1),17069(a,1,1))]. 17073 (1 / x) * ((1 / x) * y) = (x \ 1) * ((x \ 1) * y). [hyper(65,a,2366,a(flip),b,17072,a)]. 17075 x * ((1 / x) * ((1 / x) * y)) = L((x \ 1) * y,x,x). [para(17073(a,2),16696(a,1,2))]. 17076 K(x,y * L((1 / z) * u,z,z)) = K(x,y * L((z \ 1) * u,z,z)). [para(17075(a,1),5527(a,1,2,2)),flip(a)]. 17079 K(a(x,y,z) \ u,w \ (w * a(x,y,z))) = a(T(a(x,y,z),w) * u,y,K(z,x)). [para(9(a,1),16597(a,1,1,1))]. 17080 a(T(a(x,y,z),u) * w,y,K(z,x)) = K(a(x,y,z) \ w,a(x,y,z)). [para(9(a,1),17079(a,1,2)),flip(a)]. 17082 a(T(a(x,y,z),u) * w,y,K(z,x)) = a(a(x,y,z) \ w,y,K(z,x)). [hyper(290,a,13658,a,b,17080,a),flip(a)]. 17084 a(T(a(x,y,z),u) * w,y,K(z,x)) = a(a(x,y,z) * w,y,K(z,x)). [hyper(290,a,16593,a(flip),b,17082,a),flip(a)]. 17085 K(x,y \ (z * T(u / (u \ w),(w \ u) * (u * (u / w))))) = K(x,y \ (z * (u * (u / w)))). [para(16736(a,1),16737(a,1,2,2,2,2))]. 17086 K(x,K(y * z,y) * (u * (w / ((y \ 1) \ 1)))) = K(x,u * (w / T(y,y \ z))). [para(4782(a,1),16804(a,1,2,1))]. 17087 K(x,(y * (z / ((u \ 1) \ 1))) * K(w,u)) = K(x,y * (z / T(u,u \ w))). [hyper(15017,a,17086,a)]. 17088 K(x,y * ((z / ((u \ 1) \ 1)) * K(w,u))) = K(x,y * (z / T(u,u \ w))). [hyper(16145,a,17087,a)]. 17089 K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,u \ w))). [para(6780(a,1),17088(a,1,2,2))]. 17090 K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,u * w))). [hyper(290,a,16258,a(flip),b,17089,a),flip(a)]. 17091 K(a(x,y,z) * (u / a(x,y,z)),a(x,y,z) \ u) = a(x,y,K(z,a(x,y,z) * u)). [hyper(290,a,15817,a(flip),b,16600,a),flip(a)]. 17092 K(x,T(a(y,z,u) \ x,a(y,z,u))) = a(y,z,K(u,a(y,z,u) * x)). [hyper(65,a,11016,a(flip),b,17091,a)]. 17093 K(x,a(y,z,u) \ x) = a(y,z,K(u,a(y,z,u) * x)). [hyper(16366,a,17092,a)]. 17095 K(x,(y * z) / ((u * T(u \ z,z)) * ((z \ u) \ 1))) = K(x,L(y * (z \ u),z \ u,z)). [hyper(290,a,13106,a(flip),b,16698,a),flip(a)]. 17096 K(x,L(y * (z \ u),z \ u,z)) = K(x,(y * z) / (((z \ u) \ 1) * z)). [para(5223(a,1),17095(a,1,2,2)),flip(a)]. 17097 K(x,L(y * (z \ u),z \ u,z)) = K(x,(z * (((y * z) / z) \ 1)) \ u). [hyper(290,a,16858,a(flip),b,17096,a),flip(a)]. 17098 K(x,L(y * (z \ u),z \ u,z)) = K(x,(z * (y \ 1)) \ u). [para(11(a,1),17097(a,2,2,1,2,1))]. 17099 K(x,L(y * (z \ u),u,z)) = K(x,(z * (y \ 1)) \ u). [hyper(13780,a,17098,a)]. 17100 K(x,(y * (z \ 1)) \ (y \ u)) != w | K(x,L(z * (y \ (y \ u)),u,y)) = w. [para(17099(a,1),13780(a,1))]. 17101 L(x,T(L(1 / y,1 / y,y) * z,1 / y),u) = L(x,y * (((1 / y) \ z) * (1 / y)),u). [para(1844(a,1),16757(a,1,2,1,1))]. 17102 L(x,T(L(1 / y,y,y) * z,1 / y),u) = L(x,y * (((1 / y) \ z) * (1 / y)),u). [para(16684(a,1),17101(a,1,2,1,1))]. 17103 L(x,y * (((1 / y) \ z) * (1 / y)),u) = L(x,T((y \ 1) * z,1 / y),u). [para(2580(a,1),17102(a,1,2,1,1)),flip(a)]. 17104 L(x,y * (((1 / y) \ z) * (1 / y)),u) = L(x,T((y \ 1) * z,y \ 1),u). [para(2635(a,1),17103(a,2,2))]. 17105 L(x,y * (((1 / y) \ z) * (1 / y)),u) = L(x,T((y \ 1) * z,y * 1),u). [hyper(290,a,13625,a(flip),b,17104,a),flip(a)]. 17106 L(x,y * (((1 / y) \ z) * (1 / y)),u) = L(x,T((y \ 1) * z,y),u). [para(8(a,1),17105(a,2,2,2))]. 17107 L(x,T((y \ 1) * z,y),u) = L(x,T(y * z,y \ 1),u). [para(2650(a,1),17106(a,1,2)),flip(a)]. 17108 L(x,T((y \ 1) * z,y),u) = L(x,T(y * z,y * 1),u). [hyper(290,a,13625,a(flip),b,17107,a),flip(a)]. 17109 L(x,T((y \ 1) * z,y),u) = L(x,T(y * z,y),u). [para(8(a,1),17108(a,2,2,2))]. 17110 L(x,T(L(y,y,y) * z,y),u) = L(x,T(y * z,y),u). [hyper(65,a,16985,a,b,17109,a)]. 17111 L(x,y * ((y \ z) * y),u) = L(x,T(y * z,y),u). [para(16756(a,1),17110(a,1,2))]. 17112 L(x,y * (y * (z / y)),u) = L(x,T(y * z,y),u). [hyper(65,a,16932,a(flip),b,17111,a)]. 17113 L(x,L(y / z,z,z),u) = L(x,T(z * y,z),u). [hyper(65,a,16675,a(flip),b,17112,a)]. 17114 L(x,T(y * (T(y,z) * z),y),u) = L(x,L(z,y,y),u). [hyper(65,a,16979,a(flip),b,17113,a),flip(a)]. 17115 L(x,(T(y,z) * z) * y,u) = L(x,L(z,y,y),u). [hyper(65,a,12583,a(flip),b,17114,a)]. 17116 L(x,R(y,z,z),u) = L(x,L(y,z,z),u). [hyper(65,a,16889,a(flip),b,17115,a)]. 17117 K(x,L(y,a(z,u,u),z)) = K(x,L(y,L(z,u,u),z)). [para(17116(a,1),13769(a,2,2))]. 17118 K(x,L(y,a(z,u,u),z)) != w | K(x,y) = w. [para(17117(a,2),13742(a,1))]. 17120 T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)) = T((x \ 1) \ K(y,x),x \ z). [hyper(290,a,16766,a(flip),b,16797,a),flip(a)]. 17121 T(x,x * y) * K(z,T(x,(x * K(z,x)) * y)) = T((x \ 1) \ K(z,x),x \ y). [para(7299(a,1),17120(a,1,1))]. 17122 T(x,x * y) * K(z,T(x,x * y)) = T((x \ 1) \ K(z,x),x \ y). [para(7299(a,1),17121(a,1,2,2))]. 17124 T((x \ 1) \ K(y,x),x \ z) = T(x * K(y,x),z * x). [hyper(65,a,5653,a(flip),b,17122,a),flip(a)]. 17126 (x \ y) / ((T(x,x \ y) \ y) / x) = T(x * K(y,x),y * x). [hyper(65,a,16817,a,b,17124,a)]. 17127 (x \ y) / (T(x \ y,x) / x) = T(x * K(y,x),y * x). [para(3623(a,1),17126(a,1,2,1))]. 17128 (x / y) / ((y \ x) / y) = T(y * K(x,y),x * y). [hyper(65,a,7082,a(flip),b,17127,a)]. 17129 (x / y) / ((y \ x) / y) = L(y,x,y). [hyper(290,a,4634,a(flip),b,17128,a),flip(a)]. 17130 L(x,y,x) * ((x \ y) / x) = y / x. [hyper(139,a,17129,a)]. 17131 a(L((x \ y) / x,L(x,y,x),L(x,y,x)),z,u) = a(L(x,y,x) * (y / x),z,u). [para(17130(a,1),2165(a,1,1,2)),flip(a)]. 17132 a(L((x \ y) / x,L(x,y,x),x),z,u) = a(L(x,y,x) * (y / x),z,u). [para(12054(a,1),17131(a,1,1))]. 17134 a(L((x \ y) / x,x,x),z,u) = a(L(x,y,x) * (y / x),z,u). [para(17037(a,1),17132(a,1,1))]. 17135 a(L(x,y,x) * (y / x),z,u) = a(((x \ 1) * y) / x,z,u). [para(894(a,1),17134(a,1,1)),flip(a)]. 17137 a(L(x,y,x) * (y / x),z,u) = a(T(y,x),z,u). [hyper(290,a,16955,a(flip),b,17135,a),flip(a)]. 17138 a(x * (y / x),z,u) = a(T(y,x),z,u). [hyper(65,a,12107,a(flip),b,17137,a)]. 17140 a(K(x,y) * ((K(x * y,x) / z) / K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). [para(12951(a,1),17138(a,2,1))]. 17141 a(K(x,y) * ((K(x * y,x) / z) * K(y,x)),u,w) = a((1 / z) * K(x * y,x),u,w). [para(6727(a,1),17140(a,1,1,2))]. 17142 K(x,T(y * z,T(y,u) / u) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). [para(12993(a,1),16898(a,1,2,1))]. 17143 K(x,T(y * z,u \ y) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). [para(12282(a,1),17142(a,1,2,1))]. 17144 K(x,T(y * z,u \ y) / (T(y,u) * (u \ 1))) = K(x,L((1 / T(u,y)) \ z,u,y)). [hyper(65,a,5264,a(flip),b,17143,a)]. 17145 L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) = (K(z,u) * T(y,w)) \ (K(z,u) * (T(y,w) * x)). [para(13353(a,1),15954(a,1,1)),flip(a)]. 17146 L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) != v5 | L(x,T(y,w),K(z,u)) = v5. [para(17145(a,2),463(a,1))]. 17147 K(x,(y \ K(z,y \ 1)) * u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). [para(3463(a,1),16073(a,1,1,2,1))]. 17148 K(x,K(y,z * u)) * K(x,((K(w,v5) * z) * u) * y) = K(x,y * ((K(w,v5) * z) * u)). [para(14842(a,1),16086(a,1,1))]. 17150 K(x,K(y,z * u)) * K(x,K(w,v5) * ((z * u) * y)) = K(x,y * ((K(w,v5) * z) * u)). [para(16280(a,1),17148(a,1,2))]. 17151 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (K(z,u) * (w * v5))). [hyper(65,a,16089,a(flip),b,17150,a),flip(a)]. 17152 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (K(u,w) * (z * v5))). [hyper(16462,a,17151,a)]. 17153 K(x,(y \ 1) * (K(z,u) * (w * v5))) = K(x,y \ ((w * K(z,u)) * v5)). [hyper(13039,a,17152,a),flip(a)]. 17154 K(x,y * (((z \ 1) * K(u,w)) * K(v5,v6))) = K(x,y * (K(u,w) * (z \ K(v5,v6)))). [para(12808(a,1),17152(a,2,2,2,2))]. 17155 K(x,y * (K(z,u) * ((w \ z) * v5))) = K(x,y * ((w \ T(z,u)) * v5)). [para(13120(a,1),17152(a,1,2,2,1)),flip(a)]. 17156 K(x,y \ ((z * K(u,w)) * v5)) = K(x,y \ (K(u,w) * (z * v5))). [hyper(13039,a,17153,a),flip(a)]. 17157 K(x,y * (K(z,u) * ((w \ u) * v5))) = K(x,y * ((w \ T(u,z)) * v5)). [hyper(65,a,16315,a,b,17155,a)]. 17158 K(x,y * ((z \ T(u,w * w)) * v5)) = K(x,y * ((z \ u) * v5)). [hyper(65,a,15392,a(flip),b,17157,a),flip(a)]. 17159 K(x,y * ((z \ K(u,w)) * K(v5,v6))) = K(x,y * (K(u,w) * (z \ K(v5,v6)))). [para(12808(a,1),17154(a,1,2,2,1))]. 17160 K(x,y * (K(z * u,z) * ((z \ w) \ K(z,u)))) = K(x,y / (R(z,u,z) \ w)). [hyper(65,a,14069,a(flip),b,17159,a),flip(a)]. 17161 K(x,K(y,z) * (u * ((z \ w) \ K(z,y)))) = K(x,u / (R(z,y,z) \ w)). [hyper(16319,a,17160,a)]. 17162 K(x,y / (R(z,u,z) \ w)) = K(x,y / (z \ w)). [hyper(65,a,16134,a(flip),b,17161,a),flip(a)]. 17164 K(x,y * (T(T(z,u),T(T(u,w),z)) * T((w * u) / w,z))) = K(x,y * (u * (z * K(w,u)))). [para(7872(a,1),16219(a,1,2,2,1))]. 17165 K(x,y * (T(T(z,u),T(u,w)) * T((w * u) / w,z))) = K(x,y * (u * (z * K(w,u)))). [hyper(16463,a,17164,a)]. 17167 K(x,y * (T(T(z,u),T(u,w)) * T(T(u,w),z))) = K(x,y * (u * (z * K(w,u)))). [hyper(65,a,16268,a(flip),b,17165,a)]. 17168 K(x,y * (z * (T(u,w) * K(z,u)))) = K(x,y * (u * (z * K(w,u)))). [para(9889(a,1),17167(a,1,2,2))]. 17169 K(x,y * (T(z,u) * T(u,w))) = K(x,y * (u * (z * K(w,u)))). [hyper(14946,a,17168,a)]. 17170 K(x,y * (z * (u * K(w,z)))) = K(x,y * (T(z,w) * u)). [hyper(65,a,16213,a(flip),b,17169,a),flip(a)]. 17171 K(x,y * (T(z,u) * (w / z))) = K(x,y * (z * (w / T(z,u)))). [para(6735(a,1),17170(a,1,2,2,2)),flip(a)]. 17172 K(x,y * (K(z,u) * T(w,z))) = K(x,y * (z * (w / T(z,u)))). [hyper(65,a,16355,a,b,17171,a)]. 17173 K(x,y * T(K(z,u) * w,z)) = K(x,y * (z * (w / T(z,u)))). [hyper(16113,a,17172,a)]. 17174 K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * T(K(y,z) * z,y)). [hyper(290,a,13533,a,b,17173,a)]. 17175 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(x \ ((x \ 1) * y),x \ 1). [hyper(290,a,12830,a(flip),b,16811,a),flip(a)]. 17176 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x * x) \ y,x \ 1). [para(712(a,1),17175(a,2,1))]. 17177 K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(x \ (x \ y),x \ 1). [hyper(290,a,12797,a(flip),b,17176,a),flip(a)]. 17178 K(x * ((x \ 1) \ T(y,(1 / x) \ x)),x \ 1) = K(x \ (x \ y),x \ 1). [para(5369(a,1),17177(a,1,1,2,2,2))]. 17179 K(x * ((x \ 1) \ T(y,x * x)),x \ 1) = K(x \ (x \ y),x \ 1). [para(12857(a,1),17178(a,1,1,2,2))]. 17180 K(x * T(y / (1 / x),x),x \ 1) = K(x \ (x \ y),x \ 1). [para(6633(a,1),17179(a,1,1,2))]. 17181 K((x / (1 / y)) * y,y \ 1) = K(y \ (y \ x),y \ 1). [para(104(a,1),17180(a,1,1))]. 17182 K(x * ((1 / y) \ y),y \ 1) = K(y \ (y \ x),y \ 1). [para(2384(a,1),17181(a,1,1))]. 17183 K(x * ((y \ 1) \ y),y \ 1) = K(y \ (y \ x),y \ 1). [hyper(65,a,4996,a(flip),b,17182,a)]. 17184 K(x \ (x \ y),x \ 1) = K(y * (x * x),x \ 1). [para(435(a,1),17183(a,1,1,2)),flip(a)]. 17185 L(x,y,((T(z,u * u) * w) / z) * ((u * u) * v5)) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). [para(34(a,1),17062(a,1,3))]. 17186 K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * z). [para(4526(a,1),17174(a,2,2,2))]. 17187 K(x,T(K(y,z) * u,z * (y / z))) = K(x,((z * (y / z)) \ u) * y). [para(5095(a,1),17186(a,1,2,1,1))]. 17188 K(x,T(K(y,z) * u,T(y,z))) = K(x,((z * (y / z)) \ u) * y). [para(10968(a,1),17187(a,1,2))]. 17189 K(x,((y * (z / y)) \ u) * z) = K(x,T(u * K(z,y),z)). [para(7920(a,1),17188(a,1,2)),flip(a)]. 17190 L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,((T(w,z * z) * u) / w) * v5). [hyper(65,a,16867,a(flip),b,17185,a),flip(a)]. 17192 L(x,y,T(K(z,u * u) * w,z) * v5) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). [hyper(290,a,16849,a(flip),b,17190,a)]. 17193 L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,T(u,w) * (v5 * K(w,z * z))). [para(14497(a,1),17192(a,1,3)),flip(a)]. 17194 L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,T(u,w) * v5). [hyper(290,a,16876,a(flip),b,17193,a),flip(a)]. 17196 L(x,y,T((z * z) * u,w) * v5) = L(x,y,T(u,w) * v5). [hyper(65,a,17067,a(flip),b,17194,a)]. 17198 L(x,y,T(((z \ 1) * z) * (1 / z),u) * w) = L(x,y,T(z,u) * w). [para(1010(a,1),17196(a,1,3,1,1))]. 17199 L(x,y,T(K(z,z \ 1) * (1 / z),u) * w) = L(x,y,T(z,u) * w). [para(2560(a,2),17198(a,1,3,1,1,1))]. 17200 L(x,y,T(K(z,z \ 1) / z,u) * w) = L(x,y,T(z,u) * w). [para(1870(a,1),17199(a,1,3,1,1))]. 17201 L(x,y,T(z \ 1,u) * w) = L(x,y,T(z,u) * w). [para(2562(a,1),17200(a,1,3,1,1))]. 17202 L(x,y,T(z,u) * (z \ w)) = L(x,y,K(z \ 1,u) * w). [hyper(65,a,13845,a(flip),b,17201,a),flip(a)]. 17204 L(x,y,K(z \ 1,u) * w) = L(x,y,K(z,u) * w). [para(4438(a,1),17202(a,1,3)),flip(a)]. 17205 K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y * L(1 / y,z,u)) \ w). [hyper(13741,a,16699,a),flip(a)]. 17207 K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y * L(y \ 1,z,u)) \ w). [hyper(290,a,5474,a(flip),b,17205,a),flip(a)]. 17208 K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). [para(4342(a,1),17207(a,2,2,1))]. 17209 K(x,(1 / y) \ (L(y,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). [para(13959(a,1),17208(a,1,2,1))]. 17210 K(x,(y \ L(y,z,u)) \ w) = K(x,y * (L(y,z,u) \ w)). [hyper(12840,a,17209,a),flip(a)]. 17211 K(x,(y \ L(y,z,u)) \ w) != v5 | K(x,y * (L(y,z,u) \ w)) = v5. [para(17209(a,1),12840(a,1))]. 17213 x * K(x,y * (L(y,z,u) \ w)) = T(x,(y \ L(y,z,u)) \ w). [para(17210(a,1),4471(a,2,2)),flip(a)]. 17214 T(x,(y \ L(y,z,u)) \ w) = T(x,y * (L(y,z,u) \ w)). [hyper(4475,a,17213,a),flip(a)]. 17215 T(x,y * (L(y,z,z) \ u)) = T(x,u * a(z,z,y)). [hyper(65,a,13256,a(flip),b,17214,a),flip(a)]. 17217 K(x,(y / T(z,u)) * w) * K(x,K(w,T(z,u) * y)) = K(x,w * (y / T(T(z,u),z \ 1))). [para(17030(a,1),16795(a,1,1))]. 17218 K(x,y * (z / T(T(u,w),u \ 1))) = K(x,y * (z / T(u,w))). [hyper(65,a,13928,a(flip),b,17217,a),flip(a)]. 17219 K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,w))). [hyper(65,a,15284,a(flip),b,17218,a)]. 17220 K(x,y * (z / T(u,u * w))) = K(x,y * (z / T(u,w))). [hyper(65,a,17090,a(flip),b,17219,a)]. 17221 K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,w))). [hyper(65,a,16259,a(flip),b,17220,a)]. 17222 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [para(78(a,1),17221(a,1,2,2)),flip(a)]. 17223 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [hyper(65,a,16128,a,b,17222,a)]. 17224 K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ T(z,u))). [hyper(65,a,14692,a(flip),b,17222,a)]. 17225 K(x,y * ((z \ u) / z)) = K(x,y * (z \ (u / z))). [para(3626(a,1),17222(a,1,2,2))]. 17226 K(x,K(y,z * (u \ w))) * K(y,(z * (w / T(u,w))) / x) = K(y,x \ (z * (w / T(u,w)))). [para(17222(a,1),8013(a,1,1,2))]. 17227 K(x,y * (T(z,(u \ w) \ w) / T(u,w))) = K(x,y * (((u \ w) \ w) \ z)). [hyper(65,a,17221,a(flip),b,17223,a)]. 17228 K(x,y * (T(z,K(u,w) / v5) / (v5 \ K(u,w)))) = K(x,y * ((K(u,w) / v5) \ z)). [hyper(65,a,16277,a(flip),b,17223,a)]. 17229 T(x,y * (T(z,u) / u)) = x * K(x,y * (u \ z)). [para(17223(a,1),4471(a,2,2))]. 17230 K(x,y * (T(z,T(u,w * v5)) / T(u,w \ v5))) = K(x,y * (T(u,w \ v5) \ z)). [para(13601(a,1),17223(a,1,2,2,1))]. 17231 K(x,y * (z * (T(u,w) / w))) * K(x,K(y,z * (w \ u))) = K(x,(z * (T(u,w) / w)) * y). [para(17223(a,1),13923(a,1,2,2))]. 17232 T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). [hyper(290,a,4471,a,b,17229,a),flip(a)]. 17233 T(x,y * (T(z,u) / u)) != w | T(x,y * (u \ z)) = w. [para(17229(a,2),4475(a,1))]. 17234 T(x,y * (z / T(u,z))) = T(x,y * (u \ z)). [hyper(65,a,15982,a(flip),b,17232,a)]. 17235 T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(T(u,z) / z) * y). [hyper(65,a,13324,a(flip),b,17232,a),flip(a)]. 17236 T(x,T(y,z * (u \ w)) * (z * (T(w,u) / u))) = T(x,(z * (T(w,u) / u)) * y). [para(17232(a,1),11038(a,1,2,1))]. 17237 K(x,T(T((y * z) * (u / (y * z)),y * z),z * ((y * z) \ u))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). [para(17234(a,1),11105(a,1,2))]. 17238 K(x,T(y,T(z,u) / T(w,z)) * (w \ T(z,u))) = K(x,(T(z,u) / T(w,z)) * y). [hyper(11060,a,17224,a),flip(a)]. 17239 K(x,y * ((T(z,u) / w) * K(w,z))) = K(x,y * (w \ T(z,u))). [hyper(65,a,16114,a,b,17224,a)]. 17240 T(x,(T(y,z) / z) * u) = T(x,(z \ y) * u). [hyper(65,a,13322,a(flip),b,17235,a),flip(a)]. 17241 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(5754(a,1),17239(a,1,2,2)),flip(a)]. 17242 K(x,y * (T(z,T(u,w)) / T(u,w))) = K(x,y * (((u \ w) \ w) \ z)). [para(8332(a,1),17227(a,1,2,2,1))]. 17243 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [hyper(65,a,17223,a(flip),b,17242,a),flip(a)]. 17244 K(x,T(y,T(z,u) * w) * (T(z,u) \ w)) = K(x,(((z \ u) \ u) \ w) * y). [hyper(16181,a,17243,a),flip(a)]. 17247 K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). [hyper(16177,a,17244,a),flip(a)]. 17249 K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). [hyper(65,a,16121,a(flip),b,17247,a),flip(a)]. 17250 K(x,(((y \ (y \ z)) \ (y \ z)) \ u) * w) = K(x,(((y \ z) \ z) \ u) * w). [para(105(a,1),17247(a,2,2,1,1))]. 17251 K(x,((((1 / y) \ z) \ ((y * y) * z)) \ u) * w) = K(x,(T(y,(y * y) * z) \ u) * w). [para(676(a,1),17247(a,1,2,1,1,1))]. 17252 K(x,(T(y,y \ z) \ (z / y)) * u) = K(x,((z / y) / y) * u). [para(3609(a,1),17249(a,1,2,1,1))]. 17253 T(x,(T(y,z) \ z) * u) = x * K(x,(z / y) * u). [para(17249(a,1),4471(a,2,2))]. 17254 T(x,(T(y,z) \ z) * u) = T(x,(z / y) * u). [hyper(290,a,4471,a,b,17253,a),flip(a)]. 17255 T(x,(y \ T(z,y)) * u) = T(x,(z / y) * u). [para(3604(a,1),17254(a,1,2,1))]. 17256 K(x,((y / z) / z) * u) = K(x,(z \ (z \ y)) * u). [para(3511(a,1),17252(a,1,2,1)),flip(a)]. 17257 K(x,(T(y,y \ (y \ z)) \ u) * w) = K(x,(((y \ z) \ z) \ u) * w). [para(105(a,2),17250(a,1,2,1,1))]. 17258 K(x,(L(T(y,z),y,y) \ u) * w) = K(x,(((y \ z) \ z) \ u) * w). [para(16801(a,1),17257(a,1,2,1,1))]. 17259 K(x,(L(T(y,z),y,y) \ u) * w) = K(x,(T(y,z) \ u) * w). [hyper(290,a,17247,a(flip),b,17258,a),flip(a)]. 17260 K(x,y * (T(z,u \ K(w,v5)) / (u \ K(w,v5)))) = K(x,y * ((K(w,v5) / u) \ z)). [para(13361(a,1),17228(a,1,2,2,1))]. 17261 K(x,y * (T(z,T(u,w * v5)) / T(u,w * v5))) = K(x,y * (T(u,w \ v5) \ z)). [hyper(65,a,16258,a(flip),b,17230,a)]. 17262 T(x,T(y,z * (u \ w)) * (z * (u \ w))) = T(x,(z * (T(w,u) / u)) * y). [hyper(65,a,16029,a(flip),b,17236,a)]. 17264 T(x,(y * (T(z,u) / u)) * w) != v5 | T(x,(y * (u \ z)) * w) = v5. [para(17262(a,1),11039(a,1))]. 17265 K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(T(u,w) / T(z,u)) * y). [para(14662(a,1),17238(a,1,2,1))]. 17266 K(x,(T(y,z) / T(u,y)) * w) = K(x,(u \ T(y,z)) * w). [hyper(11060,a,17265,a),flip(a)]. 17267 T(x,(T(y,z) / T(u,y)) * w) = x * K(x,(u \ T(y,z)) * w). [para(17266(a,1),4471(a,2,2))]. 17268 K(x,(y \ T(T(a(z,u,w),v5),v5)) * v6) = K(x,(a(z,u,w) / T(y,T(a(z,u,w),v5))) * v6). [para(13751(a,1),17266(a,1,2,1,1)),flip(a)]. 17269 T(x,(T(y,z) / T(u,y)) * w) = T(x,(u \ T(y,z)) * w). [hyper(290,a,4471,a,b,17267,a),flip(a)]. 17270 K(x,y * ((K(z,u) / w) \ v5)) = K(x,y * ((w \ K(z,u)) \ v5)). [hyper(65,a,17223,a(flip),b,17260,a),flip(a)]. 17271 K(x,y * (T(z,u \ w) \ v5)) = K(x,y * (T(z,u * w) \ v5)). [hyper(65,a,17223,a(flip),b,17261,a),flip(a)]. 17272 K(x,K(y,z * u)) * K(x,y * (T(z,w * v5) \ u)) = K(x,(T(z,w \ v5) \ u) * y). [para(17271(a,1),14889(a,1,2))]. 17273 K(x,(T(y,(y * y) * z) \ u) * w) = K(x,(T(y,y * z) \ u) * w). [para(12910(a,1),17251(a,1,2,1,1)),flip(a)]. 17274 K(x,(L(T(y,z),y,y) \ u) * w) = K(x,(T(y,y * z) \ u) * w). [para(13277(a,1),17273(a,1,2,1,1))]. 17275 K(x,(T(y,y * z) \ u) * w) = K(x,(T(y,z) \ u) * w). [hyper(65,a,17259,a(flip),b,17274,a),flip(a)]. 17276 K(x,(T(y,y * z) \ u) / w) = K(x,(T(y,z) \ u) * (1 / w)). [hyper(13035,a,17275,a)]. 17277 K(x,(T(y,y * z) \ u) / w) != v5 | K(x,(T(y,z) \ u) / w) = v5. [para(17276(a,2),13035(a,1))]. 17278 K(x,(T(y,z \ u) \ w) * v5) = K(x,(T(y,z * u) \ w) * v5). [hyper(65,a,14889,a(flip),b,17272,a),flip(a)]. 17279 K(x,y * (z * (u \ w))) * K(x,K(y,z * (u \ w))) = K(x,(z * (T(w,u) / u)) * y). [para(16274(a,1),17231(a,1,1))]. 17280 K(x,(y * (T(z,u) / u)) * w) = K(x,(y * (u \ z)) * w). [hyper(13929,a,17279,a),flip(a)]. 17281 K(x,(y * (z / T(u,z))) * w) = K(x,(y * (u \ z)) * w). [hyper(65,a,16025,a(flip),b,17280,a)]. 17282 K(x,(y * ((z \ L(z,u,w)) / z)) * v5) = K(x,(y * (z \ (z \ L(z,u,w)))) * v5). [para(4354(a,1),17280(a,1,2,1,2,1))]. 17283 K(x,(y * (z / T(u,z))) / w) = K(x,(y * (u \ z)) * (w \ 1)). [hyper(12975,a,17281,a)]. 17284 K(x,(y * (z / T(u,z))) / w) = K(x,(y * (u \ z)) / w). [hyper(290,a,12973,a(flip),b,17283,a),flip(a)]. 17285 K(x,K(y,z * (u \ w))) * K(y,(z * (u \ w)) / x) = K(y,x \ (z * (w / T(u,w)))). [para(17284(a,1),17226(a,1,2))]. 17286 K(x,(y * (z \ (z \ L(z,u,w)))) * v5) = K(x,(y * L(1 / z,u,w)) * v5). [para(4349(a,1),17282(a,1,2,1,2)),flip(a)]. 17287 K(x,(y * L(1 / z,u,w)) * v5) = K(x,(y * L(z \ 1,u,w)) * v5). [para(4345(a,1),17286(a,1,2,1,2)),flip(a)]. 17288 K(x,(y * L(y \ 1,z,z)) * u) = K(x,a(y,z,z) * u). [hyper(65,a,16916,a(flip),b,17287,a),flip(a)]. 17289 K(x,(y \ L(y,z,z)) * u) = K(x,a(y,z,z) * u). [para(4342(a,1),17288(a,1,2,1))]. 17290 K(x,a(y,y,z) \ u) = K(x,a(z,y,y) * u). [hyper(65,a,13221,a(flip),b,17289,a)]. 17291 K(x,y \ (z * (u / T(w,u)))) = K(x,y \ (z * (w \ u))). [hyper(8017,a,17285,a),flip(a)]. 17292 K(x,y \ (z * (T(u,w) / w))) = K(x,y \ (z * (w \ u))). [para(3601(a,2),17291(a,1,2,2,2))]. 17293 K(x,y \ (T(z,u \ w) * (u \ w))) = K(x,y \ ((w / T(u,w)) * z)). [hyper(65,a,15433,a(flip),b,17292,a),flip(a)]. 17294 K(x,y \ ((z / T(u,z)) * w)) = K(x,y \ ((u \ z) * w)). [hyper(15426,a,17293,a),flip(a)]. 17297 K(x,T(y * (z * u),K(w,u)) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). [para(15790(a,1),15763(a,1,2,1))]. 17298 K(x,T(y * (z * u),K(u,w)) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). [para(7476(a,1),17297(a,1,2,1))]. 17300 K(x,T(y * (z * u),K(u,w)) \ (K(L(u,z,y),w) * v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). [para(4811(a,1),17298(a,1,2,2))]. 17301 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z \ y)) * (y * (z \ y))). [hyper(290,a,17269,a(flip),b,16030,a),flip(a)]. 17302 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z * y)) * (y * (z \ y))). [hyper(290,a,16262,a(flip),b,17301,a),flip(a)]. 17303 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,y * z)) * (y * (z \ y))). [para(3657(a,1),17302(a,2,2,1,2))]. 17304 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z)) * (y * (z \ y))). [hyper(290,a,16202,a(flip),b,17303,a),flip(a)]. 17305 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(y / z) * (y * (z \ y))). [hyper(290,a,17255,a(flip),b,17304,a),flip(a)]. 17306 T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ y) * (y * (y / z))). [hyper(290,a,15986,a(flip),b,17305,a),flip(a)]. 17307 T(x,(y * (T(y,z) / z)) * (T(y,z) / z)) = T(x,(z \ y) * (y * (y / z))). [para(9(a,1),17306(a,1,2,2))]. 17308 T(x,(y * (T(y,z) / z)) * (z \ y)) = T(x,(z \ y) * (y * (y / z))). [hyper(17233,a,17307,a)]. 17310 T(x,(y * (z \ y)) * (z \ y)) = T(x,(z \ y) * (y * (y / z))). [hyper(17264,a,17308,a)]. 17311 T(x,(y \ z) * ((y \ z) * z)) = T(x,(y \ z) * (z * (z / y))). [hyper(65,a,16226,a(flip),b,17310,a)]. 17312 T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,(z \ y) * (y * (y / z))). [hyper(65,a,15250,a,b,17311,a)]. 17313 K(x,(y * ((z * u) / (T(z * u,z) / z))) * w) = K(x,(y * (T(u * z,z) / u)) * w). [para(9016(a,1),16395(a,1,2,1,2)),flip(a)]. 17314 K(x,(y * ((z * u) / (T(z * u,z) / z))) * w) = K(x,(y * z) * w). [hyper(290,a,16400,a(flip),b,17313,a),flip(a)]. 17316 K(x,(y * L(z,u,z)) * w) = K(x,(y * z) * w). [para(7062(a,1),17314(a,1,2,1,2))]. 17317 K(x,(L(y,z,y) * u) * w) = K(x,(T(u,y) * y) * w). [hyper(16241,a,17316,a)]. 17320 K(x,(L(y,z,y) * u) * w) = K(x,(y * u) * w). [hyper(290,a,16234,a(flip),b,17317,a),flip(a)]. 17321 K(x,(L(1 / y,z,1 / y) * a(u,w,K(v5,v6))) * v7) = K(x,(a(u,w,K(v5,v6)) / y) * v7). [para(15909(a,1),17320(a,2,2,1))]. 17322 K(x,(L(1 / y,z,y) * a(u,w,K(v5,v6))) * v7) = K(x,(a(u,w,K(v5,v6)) / y) * v7). [para(1844(a,1),17321(a,1,2,1,1))]. 17323 K(x,L(1 / y,z,y) * u) = K(x,(a(w,v5,K(v6,v7)) / y) * u). [hyper(65,a,16377,a(flip),b,17322,a)]. 17324 K(x,L(y \ 1,z,y) * u) = K(x,(a(w,v5,K(v6,v7)) / y) * u). [hyper(12340,a,17323,a)]. 17326 T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * K(L(x,z,u),T(y,v5)). [para(7774(a,1),15732(a,2,2))]. 17328 T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * K(x,L(T(y,v5),z,u)). [para(11461(a,1),17326(a,2,2))]. 17329 K(x,L(T(y,z),u,w)) * K(v5 / y,K(x,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(7144(a,2),17328(a,1,1))]. 17330 K(x,L(T(y,z),u,w)) * K(x,K(v5 / y,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(7411(a,1),17329(a,1,2))]. 17331 K(x,L(T(y,z),u,w)) * K(x,K(y \ v5,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(7240(a,1),17330(a,1,2,2))]. 17332 K(x,L(T(y,z),u,w)) * K(x,K(y \ v5,y)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(15709(a,1),17331(a,1,2))]. 17333 K(x,L(T(y,z),u,w)) * K(x,K(y,y * v5)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(13309(a,1),17332(a,1,2))]. 17335 K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). [para(7409(a,1),17333(a,1,2))]. 17336 K(x,K(y,z)) * K(x,L(T(y,u),w,v5)) != v6 | K(x,L(T(T(y,u),z),w,v5)) = v6. [para(17335(a,1),16019(a,1))]. 17337 R(T(x,K(y,z) * K(u,w)),K(y,z),K(u,w)) = T(L(T(x,K(u,w)),K(u,w),K(y,z)),K(y,z)). [para(221(a,1),15865(a,1,1)),flip(a)]. 17338 K(x,L(y \ z,1 / y,y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). [para(1844(a,1),16899(a,1,2,1))]. 17339 K(x,L(y \ z,y,y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). [para(16684(a,1),17338(a,1,2,1))]. 17340 K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((1 / y) * z) \ (((y * y) \ z) * u)). [para(663(a,1),17339(a,1,2,1)),flip(a)]. 17341 K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((1 / y) * z) \ (z * ((y * y) \ u))). [hyper(290,a,16347,a(flip),b,17340,a),flip(a)]. 17342 K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((y \ 1) * z) \ (z * ((y * y) \ u))). [hyper(290,a,5030,a(flip),b,17341,a),flip(a)]. 17343 (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(15847(a,1),15854(a,1,2))]. 17345 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(15880(a,1),15898(a,1,2))]. 17346 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. [para(15898(a,1),15895(a,1))]. 17347 K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))) = K(x,T((y \ (y \ z)) * u,y \ (y \ 1))). [para(78(a,1),16417(a,1,2,1,1,2,1)),flip(a)]. 17348 K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))) = K(x,T((y \ (y \ z)) * u,1)). [hyper(290,a,13285,a(flip),b,17347,a),flip(a)]. 17350 K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))) = K(x,(y \ (y \ z)) * u). [para(191(a,1),17348(a,2,2))]. 17351 K(x,(y \ ((y \ 1) \ z)) * (u / (y * y))) = K(x,(y \ (y \ z)) * u). [para(813(a,1),17350(a,1,2,1))]. 17352 K(x,(y \ ((y \ 1) \ z)) * ((y * y) \ u)) = K(x,(y \ (y \ z)) * u). [hyper(65,a,15123,a(flip),b,17351,a)]. 17353 K(x * y,K(((y * y) \ z) * u,w)) = K((x * (y \ 1)) * (z * u),w) * K(w,(z * u) * (x * (1 / y))). [para(441(a,1),16425(a,1,2,2,2,2)),flip(a)]. 17354 K(x * y,K(((y * y) \ z) * u,w)) = K((x * (y \ 1)) * (z * u),w) * K(w,(z * u) * (x * (y \ 1))). [para(5037(a,1),17353(a,2,2))]. 17355 K(x * y,K(((y * y) \ z) * u,w)) = K(x * (y \ 1),K(z * u,w)). [hyper(290,a,11074,a(flip),b,17354,a),flip(a)]. 17356 K(x * y,K(((y * y) \ z) * u,w)) = K(w,K(x * (y \ 1),z * u)). [hyper(290,a,7415,a(flip),b,17355,a),flip(a)]. 17357 K(x * y,K(((y * y) \ z) * u,w)) = K(w,K(x / y,z * u)). [para(13009(a,1),17356(a,2,2))]. 17358 K(x * y,K(z * ((y * y) \ u),w)) = K(w,K(x / y,z * u)). [para(15134(a,1),17357(a,1,2))]. 17359 K(x,K(y * z,u * ((z * z) \ w))) = K(x,K(y / z,u * w)). [hyper(7431,a,17358,a)]. 17360 K(x,K(y / z,u * w)) = K(x,K(y * z,u * w)). [hyper(65,a,15128,a(flip),b,17359,a),flip(a)]. 17362 K(x,K(y * z,u * (w \ z))) = K(x,K(z * y,w * (u \ z))). [hyper(65,a,16033,a(flip),b,17360,a),flip(a)]. 17363 K(x,K(y * z,z * (u \ y))) = K(x,K(u,z * y)). [hyper(65,a,13329,a(flip),b,17362,a),flip(a)]. 17364 K(K((x / (1 / y)) * ((x / (1 / y)) * z),x * y),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). [para(12978(a,1),16808(a,1,1))]. 17365 K(K((x / (y \ 1)) * ((x / (1 / y)) * z),x * y),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). [para(4986(a,1),17364(a,1,1))]. 17366 K(x,K(y * z,(y / (z \ 1)) * ((y / (1 / z)) * u))) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). [hyper(5341,a,17365,a)]. 17367 K(x,K(y * z,y * ((z \ 1) * ((y / (1 / z)) * u)))) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). [hyper(65,a,15962,a(flip),b,17366,a)]. 17368 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(x * y,y * (((x / (1 / y)) * z) \ x))). [hyper(16453,a,17367,a),flip(a)]. 17369 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K((x / (1 / y)) * z,y * x)). [hyper(290,a,17363,a(flip),b,17368,a),flip(a)]. 17370 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K((x / (y \ 1)) * z,y * x)). [para(4986(a,1),17369(a,2,2))]. 17371 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,(x / (y \ 1)) * z)). [hyper(290,a,7429,a,b,17370,a),flip(a)]. 17372 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,x * ((y \ 1) * z))). [hyper(290,a,15962,a(flip),b,17371,a),flip(a)]. 17373 K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,y * (z \ x))). [hyper(290,a,16452,a(flip),b,17372,a),flip(a)]. 17374 K((x / (y \ 1)) / T(x / (1 / y),z),u) = K(u,K(y * x,y * (z \ x))). [hyper(13008,a,17373,a)]. 17375 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(15721(a,1),17343(a,1,2,2))]. 17376 L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [hyper(868,a,17345,a)]. 17377 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). [para(15845(a,1),17376(a,1,1)),flip(a)]. 17378 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [hyper(17346,a,17377,a),flip(a)]. 17379 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5 * K(z,K(u,w))). [para(13364(a,1),17378(a,1,2))]. 17380 L(x * K(y,K(z,u)),w,v5 * K(y,K(z,u))) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [hyper(65,a,15897,a(flip),b,17379,a),flip(a)]. 17381 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). [para(15845(a,1),17375(a,2,2))]. 17382 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). [hyper(15997,a,17381,a)]. 17383 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(15853,a,17382,a),flip(a)]. 17386 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(65,a,17378,a,b,17383,a)]. 17387 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(65,a,17380,a(flip),b,17383,a)]. 17388 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(7139(a,1),17383(a,1,3))]. 17391 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7138(a,1),17386(a,1,2))]. 17392 L(x,y,K(z,T(u,w))) = R(x,y,K(z,u)). [hyper(290,a,16653,a,b,17388,a),flip(a)]. 17393 L(x,K(y,T(z,u)),w) = L(x,K(z,y),w). [hyper(290,a,16680,a,b,17391,a),flip(a)]. 17394 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(65,a,16537,a(flip),b,17391,a)]. 17396 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(65,a,6753,a(flip),b,17394,a),flip(a)]. 17397 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(17394(a,1),100(a,1,1))]. 17398 L(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(17394(a,1),4858(a,1,1))]. 17400 L(x,y,T(K(z,u),w)) = R(x,y,K(z,u)). [para(5837(a,1),17392(a,1,3))]. 17401 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(17400(a,1),10945(a,1))]. 17402 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(17392(a,2),17401(a,1))]. 17404 T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,(y / (K(w,u) * z)) \ 1). [para(17396(a,1),11535(a,2,2,1))]. 17405 L(x,K(y,T(z,u)),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. [para(7511(a,1),17397(a,1,2))]. 17406 x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (K(z,y) * (K(z,y) * x)) \ (K(z,y) * u). [para(17398(a,2),8280(a,2,2)),flip(a)]. 17407 L(x,K(y,z),u) * (u * K(z,y)) = (x * K(z,T(y,u))) * u. [para(17393(a,1),17405(a,1,1))]. 17408 x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = ((K(y,T(z,u)) * K(y,T(z,u))) \ x) \ u. [para(17407(a,2),622(a,2,2)),flip(a)]. 17409 K(x,y / T((z * K(u,T(w,v5))) * v5,L(z,K(w,u),v5))) = K(x,y / ((v5 * K(u,w)) * L(z,K(w,u),v5))). [para(17407(a,1),12400(a,1,2,2,1))]. 17411 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(16442,a,17387,a)]. 17413 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(18(a,2),17411(a,1,2)),flip(a)]. 17414 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(290,a,13364,a(flip),b,17413,a),flip(a)]. 17415 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(17414(a,2),14963(a,1,1))]. 17416 T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,(K(w,u) * z) / y). [hyper(290,a,3723,a(flip),b,17404,a),flip(a)]. 17417 T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,z * (y \ K(w,u))). [hyper(290,a,16824,a(flip),b,17416,a),flip(a)]. 17418 T(x,L(K(y,z) * ((u / w) \ 1),K(y,z),w)) = T(x,w * (u \ K(y,z))). [para(14938(a,1),17417(a,1,2,1))]. 17419 x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (y * (T(T(y,z),z) \ x)) \ (K(z,y) * u). [para(5549(a,1),17406(a,2,1))]. 17420 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(5101(a,1),17415(a,1,1,1))]. 17421 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(7753(a,1),17420(a,1,1,1))]. 17422 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(65,a,25,a,b,17421,a)]. 17423 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(14590(a,1),17422(a,1,1))]. 17424 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(17423(a,2),11320(a,2,2,2))]. 17425 x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = ((K(y,z) * K(y,z)) \ x) \ u. [para(13536(a,1),17408(a,2,1,1))]. 17426 x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = (K(z,y) * (K(z,y) * x)) \ u. [para(8273(a,1),17425(a,2,1))]. 17428 x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = (y * (T(T(y,z),z) \ x)) \ u. [para(5549(a,1),17426(a,2,1))]. 17429 x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = x \ (z * (T(T(z,y),y) \ u)). [hyper(290,a,8650,a(flip),b,17428,a),flip(a)]. 17430 x \ (K(y,T(z,u)) * (u * K(y,z))) = x \ (z * (T(T(z,y),y) \ u)). [para(8364(a,1),17429(a,1,2,1))]. 17433 (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(16055(a,1),16448(a,1,2,3))]. 17434 (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(4815(a,1),17433(a,1,2,3,1))]. 17436 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. [para(342(a,1),17434(a,1,2))]. 17438 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(133,a,17436,a)]. 17440 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(13656(a,1),17438(a,1,2,2))]. 17441 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(17440(a,1),14406(a,1,2,1))]. 17442 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15751(a,1),17441(a,1,1))]. 17443 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15767(a,1),17442(a,1,2))]. 17444 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(4855,a,17443,a)]. 17445 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(65,a,13666,a(flip),b,17444,a),flip(a)]. 17446 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(4475,a,17445,a),flip(a)]. 17447 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(16372(a,1),17446(a,1,2,2))]. 17448 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4471(a,2),17447(a,1,2)),flip(a)]. 17450 K(x,T(y * a(z,u,K(w,v5)),v6)) = K(x,T(y,v6)). [para(17448(a,2),16362(a,1,2))]. 17451 K(x,T((K(y,z) * u) * w,v5)) = K(x,T(K(y,z) * (u * w),v5)). [para(13652(a,1),17450(a,1,2,1))]. 17452 K(x,T(K(y,z) * (u * w),u * K(y,z))) = K(x,w * (K(y,z) * u)). [hyper(13300,a,17451,a),flip(a)]. 17453 K(T(x,y * K(z,u)),w * (K(z,u) * y)) = K(x,K(z,u) * (y * w)). [hyper(7639,a,17452,a),flip(a)]. 17454 K(x,T(y * (K(z,u) * w),w * K(z,u))) = K(x,K(z,u) * (w * y)). [hyper(7347,a,17453,a)]. 17455 K(K(x,K(y,z) * (u * w)) * v5,v6) = K(v5 * K(w * (K(y,z) * u),x),v6). [para(17454(a,1),15350(a,1,1,1))]. 17456 K(x * K(y * (K(z,u) * w),v5),v6) = K(K(w * y,v5) * x,v6). [hyper(65,a,15353,a(flip),b,17455,a),flip(a)]. 17458 K(K(x * (T(y,z) * u),w) * v5,v6) = K(K((y \ x) * u,w) * v5,v6). [hyper(65,a,16410,a(flip),b,17456,a),flip(a)]. 17459 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). [hyper(65,a,16465,a(flip),b,17458,a),flip(a)]. 17460 K(x * K(y,(z / T(u,w)) * v5),v6) = K(K(z * (u * v5),y) * x,v6). [hyper(65,a,16256,a,b,17459,a)]. 17461 K(K(x * (y * z),u * w) * w,u) = K(w,T(u,K(v5,y) * ((x / y) * z))). [hyper(65,a,16154,a(flip),b,17460,a),flip(a)]. 17463 K(x * K(y * (z * u),x * w),w) = K(x,T(w,K(v5,z) * ((y / z) * u))). [para(10988(a,1),17461(a,1,1))]. 17464 K(x * x,y) * (((T(x * x,y) * z) \ u) * (x * x)) = K(z,x * x) * T(z \ u,x * x). [para(16888(a,1),17011(a,1,2)),flip(a)]. 17465 T(K(x,y * y) * (x \ z),y * y) = K(y * y,u) * (((T(y * y,u) * x) \ z) * (y * y)). [hyper(290,a,14465,a,b,17464,a)]. 17467 T(K(x,y * y) * (x \ z),y * y) = K(y * y,u) * ((x \ (T(y * y,u) \ z)) * (y * y)). [para(16666(a,1),17465(a,2,2,1))]. 17468 T(K(x,y * y) * (x \ z),y * y) = (x \ (T(y * y,u) \ z)) * T(y * y,u). [hyper(290,a,13188,a(flip),b,17467,a),flip(a)]. 17469 T(K(x,y * y) * (x \ z),y * y) = x \ T(z,y * y). [hyper(290,a,16865,a(flip),b,17468,a),flip(a)]. 17470 (((x * x) * y) \ z) * ((x * x) * u) = (y \ T(z,x * x)) * u. [para(17469(a,1),11262(a,1,1)),flip(a)]. 17471 (x \ ((y * y) \ z)) * ((y * y) * u) = (x \ T(z,y * y)) * u. [para(404(a,1),17470(a,1,1))]. 17472 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(94(a,1),17424(a,2,2))]. 17473 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(5445(a,1),17472(a,2,2,2))]. 17474 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(8036(a,1),17473(a,2,2,2))]. 17475 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(13493(a,1),17474(a,2,2,2))]. 17476 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(290,a,9,a(flip),b,17475,a),flip(a)]. 17477 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(15811,a,17476,a)]. 17480 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(355(a,1),17477(a,1,2,2,2))]. 17481 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(13516,a,17480,a)]. 17482 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(78(a,1),17481(a,1,2,2,1,2)),flip(a)]. 17483 K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,(y * (z * T(u,w \ v5))) / (z * T(u,w \ v5))). [hyper(290,a,12977,a(flip),b,16338,a),flip(a)]. 17484 K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,y). [para(11(a,1),17483(a,2,2))]. 17486 (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = ((x * y) * K(z,T(u,y))) / (K(z,u) * y). [para(13676(a,1),16631(a,1,2)),flip(a)]. 17487 (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = L(x,y,K(z,T(u,y))). [hyper(290,a,16655,a(flip),b,17486,a),flip(a)]. 17489 L(x,y,K(z,T(u,y))) = a(x,y,K(z,u)) * x. [para(16630(a,1),17487(a,1,1)),flip(a)]. 17490 L(x,y,K(z,T(u,y))) = T(x,a(u,y,z)). [hyper(290,a,13678,a(flip),b,17489,a),flip(a)]. 17491 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(17402,a,17490,a)]. 17492 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(65,a,17392,a(flip),b,17490,a)]. 17493 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(17490(a,1),17402(a,1))]. 17495 T(x,T(a(y,z,u),w)) = L(x,z,K(u,y)). [hyper(290,a,15777,a,b,17491,a)]. 17496 (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(z,x)). [hyper(290,a,13712,a,b,17491,a)]. 17497 x * a(y,z,K(u,x)) = L(x,z,K(u,y)). [hyper(290,a,13710,a,b,17491,a)]. 17498 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(290,a,13677,a,b,17491,a)]. 17499 L(a(x,y,y),z,K(u,w)) = a(x,y,y). [hyper(290,a,13065,a(flip),b,17491,a),flip(a)]. 17500 L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. [hyper(290,a,106,a(flip),b,17491,a),flip(a)]. 17501 x \ L(x,y,K(z,u)) = a(u,y,K(z,x)). [hyper(120,a,17491,a,b,13710,a)]. 17502 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [para(17491(a,2),13051(a,1,1))]. 17503 (x * L(y,z,K(u,w))) \ (x * y) = a(w,z,K(u,y)). [para(17491(a,2),13050(a,1,1,2))]. 17504 (x / y) * a(z,u,K(w,y)) = x / L(y,u,K(w,z)). [para(17491(a,2),13059(a,2,2))]. 17505 1 / L(x,y,K(z,u)) = T(1 / x,a(u,y,z)). [para(17491(a,2),13801(a,1,2))]. 17506 x * L(x \ y,z,K(u,w)) = y * a(w,z,K(u,x * y)). [para(17491(a,2),13868(a,1,2))]. 17508 (x \ y) * a(z,u,K(w,x)) = L(x,u,K(w,z)) \ y. [para(17491(a,2),15872(a,2,1))]. 17509 T(x,y * (z * L(u,w,K(v5,v6)))) = T(x,y * (z * u)). [para(17491(a,2),15988(a,1,2,2,2))]. 17510 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(17491(a,2),16366(a,1,2))]. 17511 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(17491(a,2),16369(a,1,2,2))]. 17513 a(K(x,y) * z,u,u) = a(z,u,u). [hyper(65,a,16853,a(flip),b,17499,a)]. 17515 a(x \ T(y,z),u,u) = a(x \ y,u,u). [para(5079(a,1),17513(a,1,1)),flip(a)]. 17516 a((x * y) \ z,u,u) = a((y * x) \ z,u,u). [para(10630(a,1),17513(a,1,1))]. 17517 (K(x,y) / z) * a(z,u,u) = R(K(x,y) / z,u,u). [para(17513(a,1),13085(a,1,2))]. 17518 K(x,y * ((K(z,u) / w) * a(w,v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). [para(17513(a,1),15288(a,1,2,2,2))]. 17519 K(x,(y \ T(T(a(z,u,w),v5),v5)) * v6) = K(x,(a(z,u,w) / L(y,u,K(w,z))) * v6). [para(17495(a,1),17268(a,2,2,1,2))]. 17520 T(x * K(y,x),L(y,z,u)) = L(x,z,K(y,u)). [hyper(13873,a,17497,a)]. 17521 (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = L(w,y,K(z,x)). [hyper(65,a,16553,a,b,17497,a)]. 17522 x \ L(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(17497(a,1),307(a,1,2))]. 17523 T(x,L(y,z,K(u,w))) = T(x,y). [para(17497(a,1),15969(a,1,2))]. 17524 K(x,L(y,z,K(u,w)) * v5) = K(x,y * v5). [para(17497(a,1),16377(a,1,2,1))]. 17525 (x / y) * a(z,u,K(w,y * x)) = L(x / y,u,K(w,z)). [para(16562(a,1),17497(a,1,2))]. 17527 T(x,y * (T(z,u) * L(u,w,K(v5,v6)))) != v7 | T(x,y * (L(u,w,K(v5,v6)) * z)) = v7. [para(17523(a,1),16223(a,1,2,2,1))]. 17528 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(15911,a,17498,a)]. 17529 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(65,a,15815,a,b,17498,a)]. 17530 x * a(y,z,K(u,x)) != w | L(x,z,K(u,y)) = w. [para(17501(a,1),245(a,1,2)),flip(b)]. 17532 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(4846(a,1),17510(a,1,2))]. 17533 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6380(a,1),17510(a,1,2))]. 17535 K(x,((y \ 1) * z) \ (K(u,y) * w)) != v5 | K(x,((((u * y) / u) \ 1) * z) \ w) = v5. [para(16861(a,1),17510(a,1))]. 17536 a(x \ (T(y,y * z) * z),u,u) = a(x \ (y * z),u,u). [para(1285(a,1),17515(a,1,1,2)),flip(a)]. 17537 a(x,y,K(z,u)) * L(z,y,K(x,u)) = z. [hyper(37,a,15812,a,b,17528,a)]. 17539 a(x,y,K(z,T(T(u,w),v5))) * (z * K(v6,u)) = L(z * K(v6,u),y,K(T(T(u,w),v5),x)). [para(7698(a,1),17529(a,1,1,3))]. 17540 L(x,y,K(z,u)) * a(z,y,K(x,u)) = x. [para(17529(a,1),15812(a,1,1))]. 17541 R(a(x,y,K(z,u)),L(z,y,K(x,u)),w) = (z * w) / (L(z,y,K(x,u)) * w). [para(17537(a,1),20(a,2,1,1))]. 17542 L(a(x,y,K(z,u)),L(z,y,K(x,u)),w) = (w * L(z,y,K(x,u))) \ (w * z). [para(17540(a,1),18(a,2,2,2))]. 17544 K(x,y \ L(z,u,K(w,v5))) = K(x,(y \ 1) * z). [hyper(13039,a,17511,a)]. 17545 K(x,K(y * z,u) * (w * T(v5,K(y \ z,u) * w))) = K(x,v5 * (K(y \ z,u) * w)). [hyper(15162,a,17524,a)]. 17546 T(T(x,K(y,z * u)),y * (u / L(z,w,K(v5,v6)))) = T(x,(u / L(z,w,K(v5,v6))) * y). [para(17524(a,1),14644(a,1,1,2))]. 17547 L(1 / x,y,K(z,u)) = 1 / L(x,y,K(z,u)). [hyper(290,a,17491,a,b,17505,a)]. 17548 a((x * y) \ (y * (z * x)),u,u) = a(L(T(z,x),x,y),u,u). [para(221(a,1),17516(a,1,1)),flip(a)]. 17549 L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). [para(4514(a,1),17520(a,1,1)),flip(a)]. 17550 T(x * K(y,x),L(y,y \ z,u)) = L(x,z / y,K(y,u)). [para(10905(a,1),17520(a,1,2))]. 17552 L(a(x,y,z) \ u,y,K(z,x)) = u / a(x,y,z). [hyper(883,a,17496,a(flip)),flip(a)]. 17553 T(L(x,y,K(z,u)),a(u,y,z)) = x. [hyper(261,a,17496,a(flip)),flip(a)]. 17554 T(L(x,y,K(z,u)),a(u,y,z) \ 1) = T(x,a(u,y,z) \ (a(u,y,z) \ 1)). [para(17496(a,1),8642(a,1,1))]. 17555 (x * y) / L(y,z,K(u,w)) = x * a(y,z,K(u,w)). [para(17496(a,1),13682(a,1,2))]. 17556 L(L(x,y,K(z,u)),y,K(z,u)) = x. [hyper(17493,a,17553,a)]. 17557 L(x,y,K(z,u)) != w | L(w,y,K(z,u)) = x. [para(17556(a,1),52(a,1)),flip(a)]. 17558 T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(y,u)) = w. [para(11526(a,2),17530(a,1))]. 17560 K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(12050(a,1),17533(a,1,2))]. 17561 K(x,L(y,z,L(u,w,K(v5,v6)))) != v7 | K(x,L(y,z,u)) = v7. [para(17491(a,2),17533(a,1,2,3))]. 17563 K(x,y \ L(z,u,K(w,v5))) = K(x,y \ z). [hyper(290,a,12836,a(flip),b,17544,a),flip(a)]. 17564 K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). [para(17549(a,1),17563(a,1,2,2))]. 17568 K(x,L(y,z,u) \ T(w,y)) != v5 | K(x,w / L(y,z,u)) = v5. [para(17564(a,1),12371(a,1))]. 17569 K(x,T(y,L(z,u,w)) / v5) = K(x,K(v5,y)) * K(x,v5 \ T(y,z)). [para(17564(a,1),13469(a,1,2)),flip(a)]. 17570 L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = 1 / L(x,y,K(u,z)). [hyper(65,a,14024,a,b,17504,a)]. 17571 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(17504(a,1),16357(a,1,2))]. 17572 K(x / L(y,z,K(u,w)),v5) = K(x / y,v5). [para(17504(a,1),16372(a,1,1))]. 17573 K(x,(y / L(z,u,K(w,v5))) * v6) = K(x,(y / z) * v6). [para(17504(a,1),16377(a,1,2,1))]. 17574 K(x,y / T(z,L(u,w,v5))) = K(x,y / T(z,u)). [para(17549(a,1),17571(a,1,2,2))]. 17575 K(x,y / T((z * K(u,T(w,v5))) * v5,z)) = K(x,y / ((v5 * K(u,w)) * L(z,K(w,u),v5))). [hyper(65,a,17409,a(flip),b,17574,a),flip(a)]. 17577 K(x,L(y \ z,u,y * u)) = K(x,u \ ((y / u) \ z)). [hyper(17560,a,16614,a)]. 17578 K(x,y \ ((z / y) \ u)) != w | K(x,L(z \ u,y,z * y)) = w. [para(16614(a,1),17560(a,1))]. 17579 (K(x,y) * (z * (z \ u))) / (u * a(y,z,K(x,z * u))) = R(K(x,y),z,L(z \ u,z,K(x,y))). [para(17506(a,1),455(a,1,2))]. 17580 (x \ y) * a(z,u,K(w,x)) = y * L(y \ (x \ y),u,K(w,z)). [para(13792(a,1),17506(a,2,2)),flip(a)]. 17581 x * a(y,z,K(u,a(y,z,u) * x)) = a(y,z,u) * (x / a(y,z,u)). [para(17552(a,1),17506(a,1,2)),flip(a)]. 17582 T(L(x / a(y,z,u),z,K(u,y)),(a(y,z,u) \ x) * a(y,z,u)) = L(x / a(y,z,u),a(y,z,u),x / a(y,z,u)). [para(17525(a,1),14284(a,1,1))]. 17583 T(x * K(y,x),L(y,z,u)) = L(x,z / y,K(y,u)). [hyper(65,a,11525,a(flip),b,17550,a)]. 17584 L(x,y / z,K(z,u)) = L(x,y,K(z,u)). [hyper(17558,a,17583,a),flip(a)]. 17585 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(L(w,y,K(z,x)),T(a(x,y,z),u) \ v5). [para(17521(a,1),7239(a,1,1)),flip(a)]. 17586 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),T(a(x,y,z),u) * v5) = K(L(w,y,K(z,x)),v5 * T(a(x,y,z),u)). [para(17521(a,1),10979(a,1,1)),flip(a)]. 17587 K(x,(y * K(z,u)) \ w) != v5 | K(x,y \ (K(u,z) * w)) = v5. [para(14621(a,1),17532(a,1))]. 17588 a((x * y) \ (y * (z * x)),u,u) = a(L(z,x,y),u,u). [hyper(290,a,14433,a(flip),b,17548,a),flip(a)]. 17590 x * L(x \ (y \ x),z,K(u,w)) = L(y,z,K(u,w)) \ x. [hyper(65,a,17508,a(flip),b,17580,a),flip(a)]. 17591 T(x,y * (L(z \ (u \ z),w,K(v5,v6)) * z)) = T(x,y * T(L(u,w,K(v5,v6)) \ z,z)). [para(17590(a,1),15990(a,1,2,2,1)),flip(a)]. 17593 K(x,T(y,L(z,u,w)) / v5) != v6 | K(x,T(y,z) / v5) = v6. [para(17569(a,2),13471(a,1))]. 17595 K(x,T(y,z \ (u * w)) / v5) != v6 | K(x,T(y,(u \ z) \ w) / v5) = v6. [para(480(a,1),17593(a,1,2,1,2))]. 17596 L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = L(1 / x,y,K(u,z)). [hyper(290,a,17547,a,b,17570,a),flip(a)]. 17597 L(1 / x,y,K(z,u)) \ (1 / x) = K(z,(x \ 1) * L(x,y,u)). [para(17596(a,1),13962(a,1,1))]. 17598 K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,1 / y)). [hyper(65,a,17502,a(flip),b,17597,a),flip(a)]. 17599 K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,y * 1)). [hyper(290,a,16562,a(flip),b,17598,a),flip(a)]. 17600 K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,y)). [para(8(a,1),17599(a,2,3,2))]. 17601 K(x,y \ L(y,z,u)) = a(u,z,K(x,y)). [hyper(13039,a,17600,a)]. 17602 K(x,a(y,z,u) \ 1) = a(y,z,K(x,u)). [hyper(65,a,12688,a,b,17601,a)]. 17603 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K(x,(y \ z) \ u)). [para(480(a,1),17601(a,1,2,2))]. 17604 T(T(a(x,y,z) \ 1,(a(x,y,z) \ 1) \ 1),u) = ((a(x,y,z) \ 1) \ a(x,y,K(u,z))) \ 1. [para(17602(a,1),4599(a,2,1,2))]. 17605 x * a(a(y,z,u) * x,z,K(u,y)) = a(y,z,u) * (x / a(y,z,u)). [para(13688(a,1),17581(a,1,2))]. 17606 (a(x,y,z) \ u) * a(x,y,z) = a(x,y,z) * (u / a(x,y,z)). [hyper(65,a,16599,a(flip),b,17605,a)]. 17607 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K(x,(y \ z) * u)). [hyper(290,a,13787,a(flip),b,17603,a),flip(a)]. 17608 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(x,y \ z,K(z * u,y)). [hyper(290,a,16574,a(flip),b,17607,a),flip(a)]. 17609 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(z * u,z,K(y,x)). [hyper(290,a,13758,a(flip),b,17608,a),flip(a)]. 17611 K(x,y * R(K(z,u) / w,v5,v5)) = K(x,y * R(w \ K(z,u),v5,v5)). [para(17517(a,1),17518(a,1,2,2))]. 17612 K(x,y * R(z \ K(u,w),v5,v5)) = K(x,y * L(K(u,w) / z,v5,v5)). [hyper(65,a,16431,a(flip),b,17611,a),flip(a)]. 17613 K(x,y * L(K(z,u) / w,v5,v5)) = K(x,y * L(w \ K(z,u),v5,v5)). [hyper(65,a,16431,a(flip),b,17612,a),flip(a)]. 17614 a(x,y,K(z,L(u,L(z,y,K(x,u)),w))) = (z * w) / (L(z,y,K(x,u)) * w). [hyper(65,a,14424,a,b,17541,a)]. 17615 L(a(x,y,K(z,u)),L(z,y,K(x,u)),w) = a(u,y,K(x,z)). [hyper(290,a,17503,a(flip),b,17542,a),flip(a)]. 17617 a(x,y,K(z,L(u,L(z,y,K(x,u)),w))) = a(u,y,K(x,z)). [hyper(65,a,11453,a,b,17615,a)]. 17618 L(T(x,a(y,z,u) \ 1),z,K(u,y)) = T(x,a(y,z,u) \ (a(y,z,u) \ 1)). [hyper(65,a,25,a,b,17554,a)]. 17619 (x * y) / (L(x,z,K(u,w)) * y) = a(w,z,K(u,x)). [hyper(65,a,17617,a(flip),b,17614,a),flip(a)]. 17621 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [hyper(38,a,9078,a,b,17619,a)]. 17622 K(x,(y \ T(T(a(z,u,w),v5),v5)) * v6) = K(x,(a(z,u,w) / y) * v6). [hyper(290,a,17573,a(flip),b,17519,a),flip(a)]. 17625 K(x,(a(y,z,u) / w) * v5) = K(x,(w \ a(y,z,u)) * v5). [para(5319(a,1),17622(a,1,2,1,2)),flip(a)]. 17626 K(x,L(y \ 1,z,y) * u) = K(x,(y \ a(w,v5,K(v6,v7))) * u). [hyper(65,a,17324,a,b,17625,a)]. 17627 K(x,L(y \ 1,z,y) * u) = K(x,y \ u). [hyper(290,a,16379,a(flip),b,17626,a),flip(a)]. 17628 T(x,y * (T(z,u) * u)) = T(x,y * (L(u,w,K(v5,v6)) * z)). [hyper(17527,a,17509,a),flip(a)]. 17630 T(x,y * (L(z,u,K(w,v5)) * v6)) != v7 | T(x,y * (z * v6)) = v7. [para(17628(a,1),16223(a,1))]. 17631 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = a(v6,u,K(x,T(z,w))) * (x * K(y,z)). [para(16548(a,1),17539(a,1,1)),flip(a)]. 17632 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = a(v6,u,K(x,z)) * (x * K(y,z)). [para(16548(a,1),17631(a,2,1))]. 17634 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = L(x,u,K(z,v6)) * K(y,z). [hyper(290,a,17621,a(flip),b,17632,a),flip(a)]. 17636 L(x * K(y,z),u,K(z,w)) = L(x,u,K(z,w)) * K(y,z). [para(5319(a,1),17634(a,1,3,1))]. 17637 K(x / L(y * K(z,u),x / y,K(u,z)),w) = K(K(u,z) * (x / y),w). [para(17636(a,2),15950(a,1,1,2))]. 17638 K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w). [hyper(65,a,17572,a(flip),b,17637,a)]. 17639 K(K(x,y) * (((z * K(y,x)) * u) / u),w) = K(L(z,K(y,x),u),w). [hyper(14985,a,17638,a),flip(a)]. 17641 K(L(x,K(y,z),u),w) = K(K(z,y) * (x * K(y,z)),w). [para(11(a,1),17639(a,1,1,2)),flip(a)]. 17643 K(L(x,K(y,z),u),w) = K(T(x,K(z,y)),w). [para(7482(a,1),17641(a,2,1))]. 17644 K(L(x,K(y,z),u),w) = K(x,w). [hyper(290,a,13387,a(flip),b,17643,a),flip(a)]. 17645 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(13910,a,17644,a)]. 17646 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11478,a,17644,a)]. 17647 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11474,a,17644,a)]. 17653 (x * (K(y,z) * K(u,w))) * K(w,u) = x * K(y,z). [para(17644(a,1),11462(a,1,2))]. 17654 K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). [para(17396(a,1),17644(a,1,1))]. 17657 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(17646(a,1),4471(a,2,2))]. 17658 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(4847(a,1),17646(a,1,2))]. 17662 K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). [para(17396(a,1),17646(a,1,2))]. 17664 a(x,K(y,z),K(u,w)) = 1. [hyper(55,a,17647,a)]. 17671 K(a(x,K(y,z),u),w) = 1. [hyper(13071,a,17664,a)]. 17672 K(a(x,K(y,z),u),w) = v5 / v5. [hyper(290,a,75,a,b,17671,a),flip(a)]. 17673 T(x,a(y,K(z,u),w)) = x. [hyper(4448,a,17672,a)]. 17674 L(x,K(y,z),K(u,w)) = x. [hyper(17493,a,17673,a)]. 17675 R(x,K(y,z),K(u,w)) = x. [hyper(65,a,17492,a,b,17673,a)]. 17678 L(x,K(y,z) / u,K(u,w)) = x. [hyper(65,a,17584,a,b,17674,a)]. 17685 R(T(x,K(y,z) * K(u,w)),K(y,z),K(u,w)) = T(T(x,K(u,w)),K(y,z)). [para(17674(a,1),17337(a,2,1))]. 17688 R(x,K(y,z),K(u,w)) != v5 | x = v5. [para(17675(a,1),53(a,2))]. 17697 L(x,K(y,z) * u,K(u,w)) = x. [hyper(65,a,16752,a(flip),b,17678,a)]. 17698 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(17146,a,17697,a)]. 17702 T(x,L(y,K(z,u),w)) != v5 | T(x,y) = v5. [para(17657(a,2),4475(a,1))]. 17703 a(x,T(y,z),K(u,w)) = w \ L(w,y,K(u,x)). [hyper(120,a,17698,a(flip),b,17497,a),flip(a)]. 17704 T(x,K(y,z) * ((u / w) \ 1)) = T(x,w * (u \ K(y,z))). [hyper(17702,a,17418,a)]. 17705 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(290,a,17501,a(flip),b,17703,a),flip(a)]. 17706 a(x,T(y,z),K(u,w)) != v5 | a(x,y,K(u,w)) = v5. [para(17703(a,2),17522(a,1))]. 17708 a(T(x,y) \ z,(x \ z) \ z,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). [hyper(65,a,13760,a(flip),b,17705,a),flip(a)]. 17711 K(x,L(y,z * K(u,z),w)) = K(x,y) * a(x,z,K(w,y)). [para(17705(a,1),13722(a,2,2))]. 17713 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(14655,a,17645,a)]. 17714 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(65,a,15862,a(flip),b,17645,a)]. 17715 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(12808(a,1),17645(a,1,1,1)),flip(a)]. 17716 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(15944,a,17653,a)]. 17718 (x * (y \ R(y,z,y))) * K(y,y * z) = x * K(y,z). [para(4964(a,1),17653(a,1,1,2))]. 17719 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(13043,a,17654,a),flip(a)]. 17720 K(K(x,y) * (z * (1 / u)),w) = K((z / u) * K(y,x),w). [hyper(65,a,16439,a,b,17654,a)]. 17721 K((x / (y * z)) * K(u,y),w) = K(x / (T(y,u) * z),w). [para(4492(a,1),17654(a,1,1,2)),flip(a)]. 17722 K((x / y) * K(z,u),w) != v5 | K(x * (y \ K(z,u)),w) = v5. [para(17654(a,1),13043(a,1))]. 17723 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(17587,a,17658,a)]. 17724 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(14652,a,17658,a)]. 17725 K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). [hyper(65,a,16144,a(flip),b,17658,a)]. 17726 K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(5732(a,1),17658(a,1,2,1)),flip(a)]. 17727 K(x,K(y,L(z,u,w)) * ((w * (u * z)) \ v5)) = K(x,(w * (u * T(z,y))) \ v5). [para(6561(a,1),17658(a,1,2,1)),flip(a)]. 17728 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [para(6735(a,1),17658(a,1,2,1)),flip(a)]. 17729 K(x,K(L(y,z,u),w) * ((u * z) \ v5)) = K(x,(u * (z * K(w,y))) \ v5). [para(11445(a,1),17658(a,1,2,1)),flip(a)]. 17730 K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). [para(13120(a,1),17658(a,1,2,1)),flip(a)]. 17731 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(13046,a,17662,a),flip(a)]. 17732 K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). [hyper(14942,a,17713,a),flip(a)]. 17733 K((x \ y) * K(z,u),T(w,x)) = K(y / (K(u,z) * x),w). [hyper(14805,a,17713,a),flip(a)]. 17736 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(290,a,13407,a,b,17714,a),flip(a)]. 17739 K(x,T(y,z)) * (z * K(u,w)) = z * (K(u,w) * K(x,y)). [hyper(65,a,15866,a,b,17716,a)]. 17740 K(x,y) * (K(x * y,z) * K(z,y * x)) = K(x * K(z,x * y),y). [hyper(65,a,17021,a(flip),b,17716,a),flip(a)]. 17742 1 / (x \ K(y * (z \ K(u,w)),x)) = T(x,(y / z) * K(u,w)). [para(17719(a,1),4594(a,2,2,2)),flip(a)]. 17743 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(15430,a,17723,a)]. 17744 K(x,y \ (K(z,u) * w)) = K(x,K(u,z) * (y \ w)). [hyper(290,a,14723,a,b,17723,a),flip(a)]. 17745 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(4492(a,1),17723(a,1,2,2)),flip(a)]. 17746 K(x,K(y \ z,y) * (u \ ((y \ z) \ w))) = K(x,u \ ((z / y) \ w)). [para(5052(a,1),17723(a,1,2,2)),flip(a)]. 17747 K(x,y \ L(K(z,u) * w,z,z)) = K(x,K(z,u) * (y \ L(w,z,z))). [para(8606(a,2),17723(a,1,2,2))]. 17748 K(x,y \ (K(z,u) * w)) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(17723(a,2),14725(a,1))]. 17749 K(L(x,y,z),K(u,w) * (v5 \ v6)) = K(x,L((K(w,u) * v5) \ v6,y,z)). [hyper(11478,a,17724,a),flip(a)]. 17750 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(290,a,14723,a,b,17724,a),flip(a)]. 17751 x * K(x,K(y,z) * (u \ w)) = T(x,(K(z,y) * u) \ w). [para(17724(a,1),4471(a,2,2)),flip(a)]. 17752 K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). [para(4492(a,1),17724(a,1,2,1)),flip(a)]. 17753 K(x,(y * (K(z,y) * u)) \ w) = K(x,K(y,z) * ((y * u) \ w)). [para(4905(a,1),17724(a,1,2,1))]. 17755 K(x,K(L(y,z,u),w) * ((z * u) \ v5)) = K(x,((K(w,y) * z) * u) \ v5). [para(14401(a,1),17724(a,1,2,1)),flip(a)]. 17756 K(x,(K(y,z) / u) * w) = K(x,K(z,y) * (u \ w)). [hyper(14675,a,17725,a)]. 17757 K(x,K(y \ 1,z) * (y \ u)) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). [para(17725(a,1),17147(a,1,1))]. 17758 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(z,y))). [hyper(14752,a,17731,a)]. 17759 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(13420,a,17731,a)]. 17760 K(x,y * (z \ K(u,K(w,v5)))) != v6 | K(x,y / z) = v6. [para(17731(a,1),14649(a,1))]. 17761 K(K(x,y) * (z \ u),T(w,u)) = K((K(x,y) * u) / z,w). [hyper(14804,a,17736,a),flip(a)]. 17762 K(K(x,y) * (z \ u),T(w,u)) != v5 | K((K(x,y) * u) / z,w) = v5. [para(17736(a,1),14804(a,1))]. 17763 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,((u * u) \ (w * K(y,z))) * u). [hyper(65,a,12805,a(flip),b,17743,a),flip(a)]. 17764 K(x,K(y,z \ (u * K(w,v5)))) = K(x,K(y,z \ u)). [para(17743(a,2),14842(a,1,2))]. 17765 K(x,((((y * z) / y) \ 1) * u) \ w) = K(x,K(z,y) * (((z \ 1) * u) \ w)). [hyper(17535,a,17744,a)]. 17766 K(x,y \ (K(z,u) * w)) = K(x,(y \ K(z,u)) * w). [hyper(290,a,17725,a,b,17744,a),flip(a)]. 17767 K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(w,u) * (y \ (z * v5))). [hyper(65,a,17156,a,b,17744,a)]. 17768 K(x,K(y,L(z,u,w)) * (T(w * (u * z),K(z,y)) \ v5)) = K(x,(w * (u * (z * K(y,z)))) \ v5). [hyper(65,a,17300,a(flip),b,17744,a),flip(a)]. 17769 K(x,K(y,y \ z) * ((u * (y \ z)) \ w)) = K(x,(u * (z / y)) \ w). [hyper(65,a,15886,a(flip),b,17744,a),flip(a)]. 17770 K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). [para(4889(a,1),17744(a,1,2,2)),flip(a)]. 17771 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [para(4492(a,1),17750(a,1,2,1)),flip(a)]. 17773 K(x,y \ (K(z,u) * w)) = K(x,(K(z,u) / y) * w). [hyper(290,a,17744,a,b,17756,a)]. 17774 K(x,T(1 / y,(1 / y) * z) * u) = K(x,K(y \ 1,z) * (y \ u)). [hyper(65,a,16467,a,b,17756,a)]. 17775 K(x,K(T(y,z * u),w) * (y \ T(w,z * u))) = K(x,T(w,z \ u) / y). [hyper(65,a,15300,a(flip),b,17756,a),flip(a)]. 17776 K(x,K(y,z) * (y \ u)) != w | K(x,T(y,z) \ u) = w. [para(17756(a,1),13038(a,1))]. 17777 K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)). [hyper(13431,a,17758,a),flip(a)]. 17778 K(x,K(y,z) * (u / (w * y))) = K(x,u / (w * T(y,z))). [hyper(290,a,14695,a(flip),b,17758,a),flip(a)]. 17779 K(x,y / T(z,u)) * a(w,v5,K(y / T(z,u),x)) = K(x,L(y * (z \ K(z,u)),v5,w)). [para(17777(a,1),15378(a,1,1))]. 17780 K(x,K(y,z) * (u / (z * w))) = K(x,u / (T(z,y) * w)). [hyper(290,a,13104,a(flip),b,17759,a),flip(a)]. 17781 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(4488(a,1),17764(a,1,2,2,2))]. 17782 K(x,(K(y,z) / u) * y) = K(x,u \ T(y,z)). [para(4491(a,2),17773(a,1,2,2)),flip(a)]. 17783 K(x,y \ T(z,u * K(w,v5))) = K(x,K(u,z) * ((1 / y) * z)). [hyper(16142,a,17782,a),flip(a)]. 17784 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(65,a,16013,a,b,17781,a)]. 17785 K(x,K(y,z \ (T(u,w) \ v5))) = K(x,K(y,u \ (z \ v5))). [hyper(14913,a,17784,a),flip(a)]. 17787 (x * (y \ R(y,z,y))) / K(y * z,y) = x * K(y,z). [hyper(6804,a,17718,a)]. 17788 K(x,((y * z) / y) \ u) != w | K(x,T(z,y) \ u) = w. [para(4727(a,2),17776(a,1,2))]. 17789 ((x * (y \ R(y,z,y))) / (K(y,z) * x)) / (K(y,z) * x) = K(y * z,T(y,x)) / (x * K(y,z)). [para(17787(a,1),14948(a,1,2)),flip(a)]. 17790 T(x,K(y,z) / (u / w)) = T(x,w * (u \ K(y,z))). [hyper(13040,a,17704,a)]. 17791 T(x,(y / z) \ K(u,w)) = T(x,z * (y \ K(u,w))). [hyper(13376,a,17790,a)]. 17792 K(x,L(y,z * K(u,z),w)) = K(x,L(y,z,w)). [hyper(290,a,13669,a(flip),b,17711,a),flip(a)]. 17794 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(4514(a,1),17792(a,1,2,2)),flip(a)]. 17799 K(x,L(y,R(z,u,u),u \ 1)) = K(x,L(y,z * u,u)). [hyper(65,a,13875,a(flip),b,17794,a)]. 17801 K(x,L(y,R(z,u,u),u \ 1)) = K(x,L(y,z,u)). [hyper(290,a,13777,a(flip),b,17799,a),flip(a)]. 17802 K(x,L((y * z) / u,y,z)) = K(x,R(y,z,z) / (u * (z \ 1))). [hyper(65,a,14447,a(flip),b,17801,a),flip(a)]. 17803 K(K(x,y) * ((z \ 1) \ u),w) = K((z \ K(x,y)) \ u,w). [hyper(15366,a,17715,a)]. 17804 K(K(x,y) * (z * (u \ 1)),w) = K((z / u) * K(y,x),w). [hyper(65,a,4997,a(flip),b,17720,a)]. 17805 K(x / (T(y,z) * z),u) = K(x / (z * y),u). [hyper(65,a,15363,a(flip),b,17721,a),flip(a)]. 17806 K(x / (y * z),T(u,y * z)) = K((T(z,y) * y) \ x,u). [hyper(11042,a,17805,a),flip(a)]. 17807 K(x,((y * z) \ u) * K(w,z)) = K(x,(y * T(z,w)) \ u). [hyper(13421,a,17726,a)]. 17808 K(x,(y * T(z,K(u,w))) \ v5) != v6 | K(x,(y * z) \ v5) = v6. [para(17726(a,1),14646(a,1))]. 17809 K(x,K(y,z) * ((u \ y) \ w)) = K(x,(u \ T(y,z)) \ w). [hyper(14725,a,17730,a)]. 17810 K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). [hyper(65,a,17715,a(flip),b,17732,a)]. 17811 K((x \ K(y,z)) \ u,w) = K(K(z,y) * (x * u),w). [hyper(290,a,16159,a(flip),b,17810,a),flip(a)]. 17812 K(x / (K(y,y \ z) * u),w) = K(K(z,y) * (u \ x),T(w,u)). [hyper(65,a,15025,a(flip),b,17733,a),flip(a)]. 17814 x \ (y * (T(T(y,z),z) \ u)) = x \ (u * (K(z,y) * K(z,y))). [para(17739(a,1),17430(a,1,2)),flip(a)]. 17815 K(x,K(y,z \ u) * (w \ (y * v5))) = K(x,w \ (T(y,z * u) * v5)). [hyper(15164,a,17745,a)]. 17816 K(x,K(y,z) * (u \ ((y * z) * w))) = K(x,u \ (T(y * z,z) * w)). [hyper(15038,a,17745,a)]. 17817 K(x,K(y,z) * (u \ ((z * y) * w))) = K(x,u \ (T(z * y,z) * w)). [hyper(15015,a,17745,a)]. 17818 K(x,(y \ (z * u)) * K(w,z)) = K(x,y \ (T(z,w) * u)). [hyper(14733,a,17745,a)]. 17819 K(x,K(R(y,z,u),w) * (v5 \ ((y * z) * u))) = K(x,v5 \ (T(R(y,z,u),w) * (z * u))). [para(100(a,1),17745(a,1,2,2,2))]. 17820 K(x,y \ (T(z,K(u,w)) * v5)) != v6 | K(x,y \ (z * v5)) = v6. [para(17745(a,1),14614(a,1))]. 17821 T(x,(K(y,z) * u) \ w) = T(x,K(z,y) * (u \ w)). [hyper(4475,a,17751,a),flip(a)]. 17822 T(x,K(y,z) * ((u \ z) \ w)) = T(x,(u \ T(z,y)) \ w). [hyper(65,a,14609,a(flip),b,17821,a),flip(a)]. 17823 T(x,K(y,z) * ((u / y) \ w)) = T(x,(u / T(y,z)) \ w). [hyper(65,a,14608,a(flip),b,17821,a),flip(a)]. 17824 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(65,a,12909,a(flip),b,17821,a)]. 17825 T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,K(u,w) * (y \ z)). [hyper(65,a,14974,a,b,17824,a)]. 17826 K(x,(T(y,y * z) * u) \ w) = K(x,((y * u) \ w) * K(z,y)). [hyper(15017,a,17752,a),flip(a)]. 17827 K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). [hyper(14733,a,17752,a)]. 17828 K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,w) * z) \ u). [hyper(13421,a,17752,a)]. 17829 K(K(x * y,z) * (u \ w),T(v5,w)) = K((K(x \ y,z) * w) / u,v5). [hyper(15112,a,17761,a)]. 17831 K(x,K(y,z \ u) * (w \ (y \ v5))) = K(x,w \ (T(y,z * u) \ v5)). [hyper(15164,a,17770,a)]. 17833 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(10630(a,1),17771(a,1,2)),flip(a)]. 17834 K(x,(y * z) \ T(u,y * z)) = K(x,u / (T(z,y) * y)). [hyper(12373,a,17833,a),flip(a)]. 17835 K(x,(T(T(y,z * z),1 / z) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). [para(1190(a,2),17833(a,2,2,1))]. 17836 K(x,y * ((z * u) \ K(u,w))) = K(x,y / (z * T(u,w))). [hyper(65,a,17759,a(flip),b,17778,a)]. 17837 K(x,y * ((z * u) \ K(z,w))) = K(x,y / (T(z,w) * u)). [hyper(65,a,17758,a(flip),b,17780,a)]. 17838 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(65,a,17482,a(flip),b,17785,a)]. 17839 K(((x \ 1) \ K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). [hyper(65,a,5460,a(flip),b,17803,a),flip(a)]. 17840 K((K(x,y) * z) / u,w) = K((z / u) * K(y,x),w). [hyper(16109,a,17804,a)]. 17841 K((K(x,y) * z) / u,w) = K(z * (u \ K(y,x)),w). [hyper(290,a,17719,a(flip),b,17840,a),flip(a)]. 17842 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [hyper(7351,a,17806,a),flip(a)]. 17843 K((x * ((x * y) / x)) \ z,u) = K((y * x) \ z,u). [hyper(65,a,16004,a(flip),b,17842,a)]. 17844 K(T(x * y,x) \ z,u) = K((y * x) \ z,u). [hyper(15384,a,17843,a)]. 17845 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [para(10(a,1),17844(a,1,1,1,1)),flip(a)]. 17846 K(x,T(y * z,y) \ u) * a(w,v5,K((z * y) \ u,x)) = K(x,L(T(y * z,y) \ u,v5,w)). [para(17844(a,1),11442(a,1,2,3))]. 17847 K(T(x,y) \ z,T(u,x * y)) = K((((1 / y) \ z) * (1 / y)) / (T((y \ 1) \ x,y) * (1 / y)),u). [hyper(65,a,14581,a(flip),b,17845,a),flip(a)]. 17848 K(x,(((1 / y) * T(z,y)) \ u) * K(w,y)) = K(x,(((y * y) \ z) * T(y,w)) \ u). [para(907(a,1),17807(a,1,2,1,1))]. 17849 K(x,((y \ z) \ T(z,u)) \ w) = K(x,K(z,u) * (T(y,z) \ w)). [hyper(65,a,17243,a(flip),b,17809,a),flip(a)]. 17850 K(x,(y \ T(z,y)) \ u) = K(x,(z / y) \ u). [hyper(65,a,15020,a(flip),b,17809,a),flip(a)]. 17851 K(x,((y * (z / y)) / y) \ u) = K(x,(T(z,y) / y) \ u). [para(1515(a,1),17850(a,1,2,1)),flip(a)]. 17852 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(3604(a,2),17850(a,1,2,1))]. 17853 K(x,(L(y,y,z) \ T(u,y)) \ w) = K(x,(u / L(y,y,z)) \ w). [para(6101(a,1),17850(a,1,2,1,2))]. 17854 K(x,(y / z) \ T(u,T(z,y) \ y)) = K(x,u / (T(z,y) \ y)). [hyper(12371,a,17852,a),flip(a)]. 17856 K(x,y \ (T(z,u * (u / w)) * v5)) = K(x,(y \ (z * v5)) * K(w,z)). [hyper(65,a,15344,a(flip),b,17818,a),flip(a)]. 17857 K(x,(y \ (z * ((1 / z) * u))) * K(z \ 1,z)) = K(x,y \ L(u,z,z)). [para(2665(a,1),17818(a,2,2,2))]. 17858 T(x,a(y,z,K(u,w)) * ((v5 \ w) \ v6)) = T(x,(v5 \ T(w,a(y,z,u))) \ v6). [para(13049(a,2),17822(a,1,2,1))]. 17859 T(x,(T(y,z) / T(u,y)) \ w) = T(x,(u \ T(y,z)) \ w). [hyper(65,a,15035,a(flip),b,17823,a),flip(a)]. 17860 K(x,(((1 / y) * z) \ u) * K(1 / y,w * y)) = K(x,(T(y \ 1,y \ w) * z) \ u). [para(15476(a,1),17827(a,2,2,1,1))]. 17861 K(x,y / (T(z,u) * u)) = K(x,y / (u * z)). [hyper(12371,a,17834,a),flip(a)]. 17863 K(x,y / (z * ((u * w) / u))) = K(x,y / (z * T(w,u))). [hyper(65,a,14696,a,b,17836,a)]. 17864 K(x,y / (z * ((u \ w) \ w))) = K(x,y * ((z * u) \ K(u,u \ w))). [para(105(a,1),17836(a,2,2,2,2)),flip(a)]. 17865 K(x,y / (T(T(z,z \ 1),u) * ((1 / z) * w))) = K(x,y * (L(w,z,z) \ K(T(z,z \ 1),u))). [para(2665(a,1),17837(a,1,2,2,1)),flip(a)]. 17866 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(14952,a,17838,a),flip(a)]. 17867 K(x,K(y,z * (u \ z))) = K(x,K(y,u)). [hyper(65,a,13307,a(flip),b,17866,a),flip(a)]. 17869 (K(x,y * (z \ y)) * u) / (K(w,K(x,z)) * u) = T(K(x,y * (z \ y)),w). [para(17867(a,1),4896(a,1,2,1))]. 17870 K(x,K(y,z)) * K(y,x / (u * (u / z))) = K(y,(u * (u / z)) \ x). [para(17867(a,1),14894(a,1,1))]. 17871 K(K(x,y) * ((z \ 1) * u),w) = K(K(y,x) * (z \ u),w). [hyper(65,a,17811,a(flip),b,17839,a)]. 17872 K(x,(T(y,z) / z) \ u) = K(x,T(y / z,z) \ u). [hyper(17788,a,17851,a),flip(a)]. 17873 K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). [para(106(a,1),17872(a,2,2,1))]. 17874 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [para(3601(a,1),17873(a,1,2,1))]. 17876 T(x,(L(y,z,K(u,w)) / T(v5,y)) \ v6) = T(x,(v5 \ T(y,a(w,z,u))) \ v6). [para(17491(a,2),17859(a,1,2,1,1))]. 17877 K(x,y / (z * (u * K(w,u)))) = K(x,y / (z * T(u,w))). [para(4434(a,1),17863(a,1,2,2,2))]. 17878 K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w). [hyper(65,a,16164,a(flip),b,17871,a)]. 17879 K(K(x \ 1,y) * (x \ z),u) = K(T(x \ 1,y) * z,u). [hyper(65,a,16140,a(flip),b,17871,a),flip(a)]. 17880 K(K(x,y) * (z \ u),T(w,z)) = K(u * (z \ K(y,x)),w). [hyper(14820,a,17878,a),flip(a)]. 17881 K(x,y / ((z \ 1) * (u * K(z,u)))) = K(x,y / (u * (z \ 1))). [hyper(290,a,15197,a(flip),b,17877,a),flip(a)]. 17882 K(K(x * 1,y) * (x \ z),u) = K(T(x \ 1,y) * z,u). [hyper(15112,a,17879,a)]. 17883 K(T(x \ 1,y) * z,u) = K(K(x,y) * (x \ z),u). [para(8(a,1),17882(a,1,1,1,1)),flip(a)]. 17884 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(290,a,15354,a(flip),b,17883,a),flip(a)]. 17885 K(T(K(x,y) / z,u) \ w,v5) = K(T(z * K(y,x),u) * w,v5). [para(12900(a,1),17884(a,1,1,1,1)),flip(a)]. 17886 K((K(x,y) * z) / u,w) != v5 | K(z * (u \ K(y,x)),w) = v5. [para(17840(a,2),17722(a,1))]. 17887 K(x,y \ ((z * K(u,w)) * v5)) != v6 | K(x,K(w,u) * (y \ (z * v5))) = v6. [para(17156(a,2),17748(a,1))]. 17888 K(x,(y \ K(z,u)) * w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(17766(a,1),17748(a,1))]. 17890 K(x,(y * T(z,T(u,w))) \ v5) != v6 | K(x,(y * T(z,u)) \ v5) = v6. [para(7914(a,1),17808(a,1,2,1,2))]. 17891 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(16144(a,2),17888(a,1))]. 17892 T(x,(y / z) * K(u,w)) = T(x,y * (z \ K(u,w))). [hyper(4596,a,17742,a),flip(a)]. 17893 T(x,y * (z \ K(u,T(w,v5)))) = T(x,K(w,u) * (y / z)). [hyper(14991,a,17892,a),flip(a)]. 17894 T(x,y * (z \ K(z,T(u,w)))) = T(x,y / T(z,u)). [hyper(290,a,13368,a(flip),b,17893,a),flip(a)]. 17895 T(x,y * (z \ K(z,u))) = T(x,y / T(z,u)). [para(103(a,1),17894(a,1,2,2,2,2))]. 17896 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [hyper(65,a,15985,a,b,17895,a)]. 17897 K(x,(y * (K(z,y) * u)) \ w) = K(x,(T(y,z) * u) \ w). [hyper(290,a,17771,a(flip),b,17753,a),flip(a)]. 17898 K(x,(((y * z) / y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(5064(a,2),17897(a,1,2,1))]. 17899 K(x,y \ ((z \ ((u * w) / u)) * v5)) = K(x,K(w,u) * (y \ ((z \ w) * v5))). [para(16830(a,2),17767(a,1,2,2,1))]. 17900 K(x,y \ T(z,u * K(w,v5))) = K(x,(K(u,z) / y) * z). [hyper(290,a,16084,a(flip),b,17783,a),flip(a)]. 17901 K(x,y \ T(z,u * K(w,v5))) = K(x,y \ T(z,u)). [hyper(290,a,14755,a(flip),b,17900,a),flip(a)]. 17902 K(x,y \ T(z,K(u,w) * v5)) = K(x,y \ T(z,v5)). [para(7102(a,1),17901(a,1,2,2,2))]. 17903 K(x,((K(y,z) * u) * w) \ T(v5,u * w)) = K(x,v5 / ((K(y,z) * u) * w)). [hyper(15976,a,17902,a),flip(a)]. 17904 K(x / (K(y,y \ z) * u),w) = K(x * (u \ K(y,z)),w). [hyper(290,a,17880,a(flip),b,17812,a),flip(a)]. 17905 K(x / (K(y,y \ z) * (u * z)),w) = K(x / (u * T(z,y)),w). [hyper(290,a,14779,a(flip),b,17904,a),flip(a)]. 17906 x \ (y * (T(T(y,z),z) \ u)) = (x \ u) * (K(z,y) * K(z,y)). [hyper(290,a,399,a(flip),b,17814,a),flip(a)]. 17907 T(x,(K(y,z) / u) * w) = T(x,K(y,z) * (u \ w)). [hyper(65,a,15281,a(flip),b,17825,a)]. 17908 K(x,(T(y,y * z) * u) \ w) = K(x,(T(y,z) * u) \ w). [hyper(290,a,17828,a(flip),b,17826,a),flip(a)]. 17909 K(x,(T(y \ 1,y \ z) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). [para(12856(a,1),17908(a,1,2,1,1))]. 17910 K(x,K(y,z) * (T(z,y) \ ((z \ y) \ u))) = K(x,L(T(y,z) \ u,T(z,y),z * y)). [hyper(17028,a,17849,a),flip(a)]. 17911 K(x,(y / z) \ T(u,y / z)) = K(x,u / (T(z,y) \ y)). [para(15472(a,1),17854(a,1,2,2))]. 17912 K(x,y / (T(z,u) \ u)) = K(x,y / (u / z)). [hyper(12371,a,17911,a),flip(a)]. 17913 K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. [para(17911(a,1),12371(a,1))]. 17914 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(13641,a,17912,a)]. 17916 K(x,y / (T(z,u) * (u \ 1))) = K(x,y / ((u \ 1) * z)). [para(4514(a,1),17881(a,1,2,2,2)),flip(a)]. 17917 K(x,T(y * z,u \ y) / ((u \ 1) * y)) = K(x,L((1 / T(u,y)) \ z,u,y)). [hyper(65,a,17144,a(flip),b,17916,a),flip(a)]. 17919 K(T(K(x,y) / z,u) \ w,v5) != v6 | K(K(y,x) * (T(z,u) * w),v5) = v6. [para(17885(a,2),16307(a,1))]. 17920 K(x * ((y * z) \ K(u \ z,u)),w) = K(x / (y * T(z,u)),w). [hyper(13043,a,17905,a)]. 17921 (x * (T(T(x,y),y) \ z)) \ u = (z \ u) * (K(x,y) * K(x,y)). [hyper(65,a,8650,a,b,17906,a)]. 17922 ((K(x,y) * z) \ u) * (K(x,y) * K(x,y)) = ((K(x,y) \ 1) * z) \ u. [hyper(65,a,6243,a(flip),b,17906,a),flip(a)]. 17923 K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,(y \ (z * v5)) * (K(u,w) * K(u,w))). [para(17906(a,1),16509(a,2,2))]. 17924 K(x / ((y \ 1) * ((y \ z) * y)),u) = K(x / ((y \ 1) * T(z,y)),u). [hyper(65,a,15434,a(flip),b,17920,a)]. 17925 x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (x \ (K(z,y) * u)) * (K(y,z) * K(y,z)). [hyper(65,a,17419,a,b,17921,a)]. 17926 K(x,y * (y * ((z \ u) * (K(y,w) * K(y,w))))) = K(x,((y \ 1) * (T(T(y,w),w) \ z)) \ u). [para(17921(a,1),15204(a,1,2,2,2))]. 17928 a(T(x,y) \ z,T(x,z),K(u,w)) = a(w,z,K(T(x,y) \ z,u)). [hyper(65,a,14305,a(flip),b,17708,a)]. 17929 a(T(x,y) \ z,x,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). [hyper(17706,a,17928,a)]. 17931 a(T(x,y) * z,x,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). [hyper(65,a,16593,a(flip),b,17929,a)]. 17932 K(x * K(y,x * z),z) = K(x,z) * K(x,K(z,y)). [para(11074(a,1),17740(a,1,2)),flip(a)]. 17933 K(x * K(y,x * z),z) != u | K(x,T(z,y)) = u. [para(17932(a,2),7652(a,1))]. 17934 K(x,T(y,K(z,u) * ((w / u) * v5))) = K(x,T(y,w * (u * v5))). [hyper(17933,a,17463,a),flip(a)]. 17935 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))). [para(5284(a,1),17934(a,1,2,2))]. 17936 K(x,T(y,((1 / z) \ u) * (w * z))) = K(x,T(y,u * L(T(w,z),z,z))). [para(666(a,2),17935(a,2,2,2,2))]. 17937 K(x,T(y,((z * u) \ w) * (1 / u))) = K(x,T(y,w * ((z * (u \ 1)) * u))). [para(1010(a,2),17935(a,2,2,2,2))]. 17938 K(x,y \ (T(z \ u,z) \ w)) = K(x,y \ ((u / z) \ w)). [hyper(65,a,17770,a(flip),b,17746,a)]. 17939 K(x,y \ (T((1 / z) / u,z * z) \ w)) = K(x,y \ (((z / u) / (z * z)) \ w)). [para(6418(a,1),17938(a,1,2,2,1,1))]. 17940 K(x,L((K(y,z) * u) \ w,v5,v6)) = K(x,L(K(z,y) * (u \ w),v5,v6)). [hyper(11478,a,17749,a),flip(a)]. 17941 K(x,(y * T(z \ u,z)) \ w) = K(x,(y * (u / z)) \ w). [hyper(65,a,17726,a(flip),b,17769,a)]. 17942 K(x,(y * (1 / z)) \ u) != w | K(x,(y * (z \ 1)) \ u) = w. [para(17769(a,1),12321(a,1))]. 17943 K(x,(y * ((z * u) / z)) \ w) = K(x,(y * T(u,z)) \ w). [para(9(a,1),17941(a,1,2,1,2,1)),flip(a)]. 17944 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,(y * z) / y)) \ w). [para(907(a,1),17943(a,1,2,1)),flip(a)]. 17945 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((K(u,(y * z) / y) / ((y * z) / y)) * u) \ w). [para(13087(a,1),17943(a,1,2,1)),flip(a)]. 17946 K(x,((y \ 1) * T(z,y)) \ u) != w | K(x,(z * (y \ 1)) \ u) = w. [para(15144(a,2),17942(a,1))]. 17947 K(x,((T(y,z) \ 1) * z) \ u) != w | K(x,(z * (y \ 1)) \ u) = w. [para(5741(a,2),17946(a,1,2,1))]. 17950 K(x,T(1 / y,(1 / y) * z) * u) = K(x,K(y,z) * (y \ u)). [hyper(290,a,15104,a(flip),b,17774,a),flip(a)]. 17951 K(x,T(1 / y,(1 / y) * z) * u) = K(x,T(y,z) \ u). [hyper(290,a,14731,a(flip),b,17950,a),flip(a)]. 17952 K(x,T(1 / y,z) * u) = K(x,T(y,z) \ u). [hyper(65,a,12301,a(flip),b,17951,a)]. 17953 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [para(78(a,1),17952(a,1,2,1,1)),flip(a)]. 17954 K(x,L(T(y \ 1,z) \ u,w,v5)) = K(L(x,w,v5),T(y,z) * u). [hyper(11478,a,17953,a)]. 17955 K(x,T(y \ 1,z) \ u) = K(x,(T(y,z) \ 1) \ u). [hyper(290,a,12838,a,b,17953,a),flip(a)]. 17956 K(x,T(y \ 1,z * u) \ w) = K(x,T(y,z / u) * w). [hyper(65,a,15481,a(flip),b,17953,a)]. 17957 K(x,T(y \ 1,z) \ u) != w | K(x,T(y,z) * u) = w. [para(17955(a,2),12888(a,1))]. 17959 K(x,T(y \ 1,z * (u \ w)) \ v5) = K(x,T(y,w / ((u \ 1) * z)) * v5). [hyper(65,a,16332,a(flip),b,17956,a)]. 17960 K(x,L(T(y \ 1,z) \ u,w,v5)) = K(x,L(T(y,z) * u,w,v5)). [hyper(290,a,11461,a(flip),b,17954,a),flip(a)]. 17961 K(x,L(T(y \ 1,z) \ u,w,v5)) != v6 | K(x,L(T(y,z) * u,w,v5)) = v6. [para(17954(a,2),11478(a,1))]. 17962 K(x,L(T(y,z) * T(u,T(y \ 1,z)),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). [hyper(12561,a,17960,a),flip(a)]. 17963 K(x,y \ (T(z,u \ w) * v5)) = K(x,y \ (T(z,u * w) * v5)). [hyper(65,a,17745,a(flip),b,17815,a)]. 17964 K(x,y \ (T(z,y * (y \ 1)) * u)) = K(x,y * (z * ((y * y) \ u))). [hyper(65,a,14025,a(flip),b,17963,a),flip(a)]. 17965 K(x,K(y,z) * (u \ ((z * y) * w))) = K(x,u \ (T(z * y,y) * w)). [hyper(14725,a,17816,a)]. 17966 K(K(x * y,z) * (u \ w),T(v5,w)) = K(w * (u \ K(z,x \ y)),v5). [hyper(290,a,17841,a(flip),b,17829,a),flip(a)]. 17967 K(x,y \ (T(z,u \ w) \ v5)) = K(x,y \ (T(z,u * w) \ v5)). [hyper(65,a,17770,a(flip),b,17831,a)]. 17968 K(x,T(y,T(z,u \ w) \ v5) \ (T(z,u * w) \ v5)) = K(x,(T(z,u \ w) \ v5) / y). [hyper(12369,a,17967,a),flip(a)]. 17969 K(x,y \ (T(z,u * u) \ w)) = K(x,y \ (z \ w)). [para(195(a,1),17967(a,1,2,2,1)),flip(a)]. 17970 K(x,y \ (T(z,u * (u / w)) * v5)) = K(x,y \ (T(z,w) * v5)). [hyper(290,a,17818,a(flip),b,17856,a),flip(a)]. 17971 K(x,y \ (T(z,u) * (w * (w / u)))) != v5 | K(x,y \ ((w * (w / u)) * z)) = v5. [para(17970(a,1),15426(a,1))]. 17972 K(x,y \ (T(z,u) * ((u \ w) * w))) != v5 | K(x,y \ (((u \ w) * w) * z)) = v5. [para(17970(a,1),15428(a,1))]. 17973 K(x,K(y,z)) * K(z,y / (u * (u / x))) = K(z,(u * (u / x)) \ y). [para(7415(a,1),17870(a,1,1))]. 17974 K(x,(T(y \ 1,z / y) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). [para(7927(a,2),17909(a,1,2,1,1))]. 17975 ((x \ y) \ (K(y,x) * z)) * (K(x,y) * K(x,y)) = ((K(x,y) \ 1) * (x \ y)) \ z. [para(12059(a,1),17922(a,1,1))]. 17976 K(x / T((y \ 1) * z,y),u) = K(x / ((y \ 1) * T(z,y)),u). [para(2065(a,1),17924(a,1,1,2))]. 17977 K(x,L((y \ K(z,u)) * w,v5,v6)) = K(x,L(K(z,u) * (y \ w),v5,v6)). [hyper(13574,a,17940,a)]. 17978 K(x,y * (z * ((y * y) \ u))) = K(x,y \ (T(z,1) * u)). [para(10(a,1),17964(a,1,2,2,1,2)),flip(a)]. 17980 K(x,y * (z * ((y * y) \ u))) = K(x,y \ (z * u)). [para(191(a,1),17978(a,2,2,2,1))]. 17981 K(x,y \ (T(z * u,u) * w)) = K(x,y \ (T(z * u,z) * w)). [hyper(65,a,17817,a(flip),b,17965,a),flip(a)]. 17982 K((K(x * y,z) * u) / w,v5) = K(u * (w \ K(z,x \ y)),v5). [hyper(17762,a,17966,a)]. 17983 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,u * w)),v5). [hyper(17886,a,17982,a),flip(a)]. 17984 K(x * (y \ K(z,y * 1)),u) = K(x * T(y \ 1,z),u). [hyper(65,a,14763,a(flip),b,17983,a),flip(a)]. 17985 K(x * T(y \ 1,z),u) = K(x * (y \ K(z,y)),u). [para(8(a,1),17984(a,1,1,2,2,2)),flip(a)]. 17986 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(290,a,13013,a(flip),b,17985,a),flip(a)]. 17987 K((x / (y \ 1)) / T(x / (1 / y),z),u) = K(z,K(u,x * y)). [hyper(13964,a,17986,a),flip(a)]. 17988 K(x * T((y * (1 / z)) \ 1,z * z),u) = K(x / ((z \ 1) * T(y,z)),u). [para(6631(a,1),17986(a,2,1,2))]. 17989 K(x,K(y * z,y * (u \ z))) = K(u,K(x,z * y)). [hyper(65,a,17374,a(flip),b,17987,a)]. 17990 K(x,K(y,z * u)) * K(y,L(T(x,u),u,z)) = K(y,(u * z) \ ((u * x) * z)). [para(17989(a,1),16541(a,1,1))]. 17991 K(K(x,y * (y * K(z,u))) * K(u,z / (w * (w / x))),v5) = K(K(u,(w * (w / x)) \ z),v5). [para(17973(a,1),15394(a,2,1))]. 17992 K(x,(T(y \ 1,z * y) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). [para(11(a,1),17974(a,1,2,1,1,2)),flip(a)]. 17994 R(T(x,K(y,z) * K(u,w)),K(y,z),K(u,w)) = T(T(x,K(u,w)),K(z,y)). [hyper(290,a,7476,a,b,17685,a),flip(a)]. 17996 K(x,K(y,L(z,u,w)) * ((w * u) \ v5)) = K(x,(w * (u * K(z,y))) \ v5). [para(11461(a,1),17729(a,1,2,1))]. 17997 K(x,K(y,L(z,u,w)) * ((u * w) \ v5)) = K(x,((K(z,y) * u) * w) \ v5). [para(11461(a,1),17755(a,1,2,1))]. 17998 K(x,y \ (z * ((1 / z) * u))) = K(x,y \ L(u,z,z)). [hyper(12313,a,17857,a)]. 17999 K(x,y \ R(z,u,u)) = K(x,y \ L(z,u,u)). [hyper(65,a,15432,a(flip),b,17998,a)]. 18000 K(x,T(y,R(z,u,u)) \ L(z,u,u)) = K(x,R(z,u,u) / y). [hyper(12369,a,17999,a),flip(a)]. 18001 K(x,T(y,L(z,u,u)) \ L(z,u,u)) = K(x,R(z,u,u) / y). [para(14378(a,1),18000(a,1,2,1))]. 18002 K(x,R(y,z,z) / u) = K(x,L(y,z,z) / u). [hyper(12369,a,18001,a),flip(a)]. 18004 K(x,L((y * z) / u,y,z)) = K(x,L(y,z,z) / (u * (z \ 1))). [hyper(65,a,17802,a,b,18002,a)]. 18005 K(x,T(y,((z \ 1) \ u) * (w * z))) = K(x,T(y,u * L(T(w,z),z,z))). [para(13860(a,1),17936(a,1,2))]. 18006 T(T(x,K(y,z)),K(u,w)) = T(x,K(w,u) * K(y,z)). [hyper(17688,a,17994,a),flip(a)]. 18008 T(T(x,K(y,z)),K(u,w)) = T(x,K(z,y) * K(w,u)). [hyper(7486,a,18006,a)]. 18013 T(T(T(x,K(y,z)),u),K(w,v5)) = T(T(x,u),K(z,y) * K(v5,w)). [para(23(a,1),18008(a,1,1))]. 18014 R(T(T(x,y),K(z * u,w) * K(u * z,w)),z \ u,x) = R(T(x,y),T(z \ u,w),x). [para(18013(a,1),14075(a,1,1))]. 18015 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y * z) \ v5)). [hyper(16059,a,17996,a),flip(a)]. 18017 K(x,(y * T((1 / z) * u,K(z,z \ 1))) \ w) = K(x,K(z \ 1,z) * ((y * ((z \ 1) * u)) \ w)). [para(2024(a,2),18015(a,1,2,1,2))]. 18018 K(x,((K(y,z) * u) * w) \ v5) = K(x,K(z,y) * ((u * w) \ v5)). [hyper(16059,a,17997,a),flip(a)]. 18019 K(x,((K(y,z) * u) * w) \ v5) != v6 | K(x,K(z,y) * ((u * w) \ v5)) = v6. [para(17997(a,1),16059(a,1))]. 18021 K(x,K(y,z) * (((y \ u) * w) \ v5)) = K(x,((T(y,z) \ u) * w) \ v5). [para(4889(a,1),18018(a,1,2,1,1)),flip(a)]. 18022 K(x,T(y,z * L(T(u,w),w,w))) = K(x,T(y,z * ((w \ 1) * (u * w)))). [hyper(65,a,17935,a(flip),b,18005,a),flip(a)]. 18023 K(x,T(y,z * L(T(u,w),w,w))) = K(x,T(y,z * (w * (u * (w \ 1))))). [para(16387(a,1),18022(a,2,2))]. 18024 K(x,T(y,z * L(T(u,w),w,w))) = K(x,T(y,z * R(u,w,w))). [hyper(290,a,16388,a(flip),b,18023,a),flip(a)]. 18025 K(x,T(y,z * R(u,w,w))) = K(x,T(y,z * L(u,w,w))). [hyper(65,a,14822,a(flip),b,18024,a),flip(a)]. 18027 K(x,((((y * z) / y) \ 1) * u) \ w) = K(x,((T(z,y) \ 1) * u) \ w). [hyper(290,a,18021,a(flip),b,17765,a),flip(a)]. 18028 K(x,K(y,T(z,u * w)) * (y \ T(z,u * w))) = K(x,T(z,u \ w) / y). [para(7162(a,1),17775(a,1,2,1))]. 18029 T(x,(y \ T(z,a(u,w,v5))) \ v6) = T(x,(y \ z) \ v6). [hyper(65,a,15968,a(flip),b,17858,a),flip(a)]. 18031 ((K(x,y * (z \ y)) * u) / u) * K(x,K(z,w)) = T(K(x,y * (z \ y)),w). [hyper(65,a,15902,a(flip),b,17869,a)]. 18032 T(x,(L(y,z,K(u,w)) / T(v5,y)) \ v6) = T(x,(v5 \ y) \ v6). [hyper(290,a,18029,a(flip),b,17876,a),flip(a)]. 18034 K(x,T(y,z) \ ((u \ ((z * y) / z)) * w)) = K(x,y \ ((u \ y) * w)). [para(4726(a,1),17899(a,2,2))]. 18035 K(x,K(y,z) * ((u * w) \ T(v5,u * w))) = K(x,v5 / ((K(z,y) * u) * w)). [hyper(18019,a,17903,a)]. 18036 K(x,T(y,z * ((u * (w \ 1)) * w))) = K(x,T(y,((u * w) \ z) / w)). [para(12993(a,1),17937(a,1,2)),flip(a)]. 18037 K(x,T(y,z * ((u * (w \ 1)) * w))) = K(x,T(y,w * ((u * w) \ z))). [hyper(290,a,13348,a(flip),b,18036,a),flip(a)]. 18038 K(x,T(y,z * ((u * w) * (1 / w)))) = K(x,T(y,w * ((u * w) \ z))). [para(1010(a,1),18037(a,1,2,2,2))]. 18039 K(x,T(y,z * ((u * w) * (w \ 1)))) = K(x,T(y,w * ((u * w) \ z))). [para(4114(a,1),18038(a,1,2))]. 18040 K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * R(u,z,z))). [para(787(a,1),18039(a,1,2,2,2)),flip(a)]. 18041 K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * L(u,z,z))). [hyper(290,a,18025,a(flip),b,18040,a),flip(a)]. 18042 K(x,T(y,z / ((u \ 1) * w)) * v5) = K(x,T(y,w * (u \ z)) * v5). [hyper(17957,a,17959,a),flip(a)]. 18043 K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,u * (z \ w)) * v5). [hyper(65,a,16173,a(flip),b,18042,a)]. 18044 K(x,T(y,(z * u) * w) * v5) = K(x,T(y,u * (z \ w)) * v5). [hyper(16525,a,18043,a)]. 18045 K(x,T(y,z * ((u \ 1) \ w)) * v5) = K(x,T(y,w * (u * z)) * v5). [hyper(16524,a,18044,a),flip(a)]. 18046 K(x,T(y,(z \ u) * w) * v5) = K(x,T(y,u * (z * w)) * v5). [hyper(65,a,16261,a(flip),b,18045,a)]. 18047 K(x / ((y \ 1) * T(z,y)),u) = K(x * ((z * (1 / y)) \ 1),u). [hyper(65,a,15132,a(flip),b,17988,a),flip(a)]. 18049 K(x / ((y \ 1) * T(z,y)),u) = K(x / (z * (1 / y)),u). [hyper(290,a,13009,a(flip),b,18047,a),flip(a)]. 18050 K(x / ((y \ 1) * T(z,y)),u) = K(x / (z * (y \ 1)),u). [hyper(290,a,5249,a(flip),b,18049,a),flip(a)]. 18051 K(x / T((y \ 1) * z,y),u) = K(x / (z * (y \ 1)),u). [hyper(65,a,17976,a,b,18050,a)]. 18052 K(x / (T(y,y \ 1) * ((y * y) \ z)),u) = K(x / (T(z,y) * (y \ 1)),u). [hyper(65,a,15435,a,b,18051,a)]. 18053 K(x,T(y,T(z,u * w)) \ T(z,u * w)) = K(x,T(z,u \ w) / y). [hyper(17776,a,18028,a)]. 18054 K(x,T(y,z \ u) / w) = K(x,T(y,z * u) / w). [hyper(12369,a,18053,a),flip(a)]. 18055 K(x,T(y,z \ u) / w) != v5 | K(x,T(y,z * u) / w) = v5. [para(18053(a,1),12369(a,1))]. 18056 K(x,T(y,(z \ u) \ w) / v5) = K(x,T(y,u * (z * w)) / v5). [hyper(17595,a,18054,a)]. 18057 K(L(x,y,z),T(u,w * v5) / v6) = K(x,L(T(u,w \ v5) / v6,y,z)). [hyper(11478,a,18054,a),flip(a)]. 18058 K(x,T(y,(z \ u) * w) / v5) = K(x,T(y,u * (z * w)) / v5). [hyper(18055,a,18056,a)]. 18059 K(x,T(y,z * (u * w)) / ((u \ z) * w)) != v5 | K(x,((u \ z) * w) \ y) = v5. [para(18058(a,1),12314(a,1))]. 18060 K(x,L(T(y,z \ u) / w,v5,v6)) = K(x,L(T(y,z * u) / w,v5,v6)). [hyper(11478,a,18057,a),flip(a)]. 18061 K(x,L(T(y * z,y * 1) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). [hyper(65,a,16440,a(flip),b,18060,a),flip(a)]. 18062 K(x,y * (z \ y)) * K(x,K(z,u)) = T(K(x,y * (z \ y)),u). [hyper(242,a,18031,a)]. 18063 K(x,y * (z \ y)) * K(x,K(z,u)) != w | K(x,T(y * (z \ y),u)) = w. [para(18062(a,2),7343(a,1))]. 18064 K(x,T(y * (z \ y),y)) = K(x,(y \ z) \ y). [hyper(18063,a,15249,a)]. 18065 K(x,(y \ z) \ y) = K(x,(z \ y) * y). [hyper(11059,a,18064,a),flip(a)]. 18066 K(x,(y \ z) \ y) = K(x,y * (y / z)). [hyper(290,a,12335,a(flip),b,18065,a),flip(a)]. 18067 K(x,y / ((K(z,u) * w) * v5)) = K(x,K(u,z) * (y / (w * v5))). [hyper(65,a,17241,a(flip),b,18035,a),flip(a)]. 18068 K(x,K(y,z) * (u / (w * T(v5,w)))) = K(x,u / (v5 * (w * K(z,y)))). [hyper(16043,a,18067,a),flip(a)]. 18069 K(x,y / (z * (u * K(w,v5)))) = K(x,K(v5,w) * (y / (z * u))). [para(104(a,1),18068(a,1,2,2,2)),flip(a)]. 18070 K(x,y / (z * (u * K(w,v5)))) = K(x,y * ((z * u) \ K(w,v5))). [hyper(290,a,17758,a(flip),b,18069,a),flip(a)]. 18071 K(x,y / T((z * K(u,w)) * v5,z)) = K(x,K(w,u) * (y / (v5 * z))). [hyper(65,a,16255,a,b,18069,a)]. 18072 K(x,y * ((z * (u * w)) \ K(w,u))) = K(x,y / (z * (w * u))). [para(89(a,1),18070(a,1,2,2,2)),flip(a)]. 18073 K(x / (T(y,z) * (z \ 1)),u) = K(x / ((1 / z) * y),u). [para(5612(a,1),18052(a,1,1,2)),flip(a)]. 18074 K(x / (T(y,z) * (z \ 1)),u) = K(x / ((z \ 1) * y),u). [hyper(290,a,5248,a(flip),b,18073,a),flip(a)]. 18075 K(x,L((1 / T(y,z)) \ u,y,z)) = K(x,((y \ 1) * z) \ (z * u)). [hyper(12908,a,17917,a),flip(a)]. 18076 K(x,L(T(y,z) * u,y,z)) = K(x,((y \ 1) * z) \ (z * u)). [hyper(13097,a,18075,a)]. 18077 K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,L((y \ K(y,z)) * u,y,z)). [para(6519(a,1),18076(a,1,2,1)),flip(a)]. 18079 K(x,K(y,z * u)) * K(x,L(T(y,u),u,z)) = K(x,(u * z) \ ((u * y) * z)). [para(7411(a,1),17990(a,1,1))]. 18080 K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,L(K(y,z) * (y \ u),y,z)). [hyper(290,a,17977,a(flip),b,18077,a),flip(a)]. 18081 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(17336,a,18079,a)]. 18082 K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). [hyper(65,a,8533,a(flip),b,18081,a)]. 18083 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,(y * (u * (y \ z))) / z). [para(10(a,1),18082(a,1,2,2)),flip(a)]. 18084 K(x,(y * (z * (y \ u))) / u) = K(x,u \ (((u / y) * z) * y)). [para(11190(a,1),18083(a,1,2)),flip(a)]. 18085 x * K(y,x \ (((x / z) * u) * z)) = ((x / z) * K(y,u)) * z. [para(18084(a,1),14504(a,1,2))]. 18086 K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,(T(z,y) * y) \ (z * u)). [para(16835(a,1),18080(a,2,2))]. 18087 K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,(y * z) \ (z * u)). [hyper(290,a,17833,a(flip),b,18086,a),flip(a)]. 18088 K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,(y * z) \ (z * u)). [hyper(65,a,17342,a,b,18087,a)]. 18089 K(x,(y \ z) \ ((y \ (y \ z)) * u)) = K(x,(y * z) \ (z * u)). [para(81(a,1),18088(a,1,2,2,1,1))]. 18090 K(x,T(y \ 1,z) \ ((T(y,z) \ (T(y,z) \ 1)) * u)) = K(x,(T(y,z) * 1) \ (1 * u)). [hyper(65,a,17955,a,b,18089,a)]. 18091 K(x,T(y,T(z,u)) \ ((((u * z) / u) \ (((u * z) / u) \ (y * (z * K(u,z))))) * w)) = K(x,(((u * z) / u) * (y * (z * K(u,z)))) \ ((y * (z * K(u,z))) * w)). [para(8664(a,1),18089(a,1,2,1))]. 18092 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,(((u * u) \ w) * K(y,z)) * u). [para(400(a,1),17763(a,2,2,1))]. 18093 K(x,y \ (((z / u) / (z * z)) \ w)) = K(x,y \ (((1 / z) / u) \ w)). [hyper(65,a,17969,a(flip),b,17939,a),flip(a)]. 18095 K(x,y \ ((z * z) * ((z / u) \ w))) = K(x,y \ (((1 / z) / u) \ w)). [para(804(a,1),18093(a,1,2,2))]. 18096 K(x,y * (y * (z \ ((y / u) \ w)))) = K(x,z \ (((1 / y) / u) \ w)). [hyper(65,a,15203,a(flip),b,18095,a)]. 18097 K(x,L(T(y,z) * T(u,y \ 1),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). [hyper(14961,a,17962,a)]. 18098 K(x,L(T(y,z) * T(u,y * 1),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). [hyper(15174,a,18097,a)]. 18099 K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(T(z,u) * T(y,z),w,v5)). [para(8(a,1),18098(a,1,2,1,2,2)),flip(a)]. 18100 K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(K(z,u) * (y * z),w,v5)). [para(4728(a,2),18099(a,2,2,1))]. 18101 K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(y * T(z,u),w,v5)). [hyper(290,a,13637,a(flip),b,18100,a),flip(a)]. 18103 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,K(y,z) * (((u * u) \ w) * u)). [hyper(290,a,16150,a(flip),b,18092,a),flip(a)]. 18104 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,K(y,z) * (w * ((u * u) \ u))). [hyper(290,a,16422,a(flip),b,18103,a),flip(a)]. 18105 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,K(y,z) * (w * (1 / u))). [para(441(a,1),18104(a,2,2,2,2))]. 18106 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,K(y,z) * (w * (u \ 1))). [hyper(290,a,5037,a(flip),b,18105,a),flip(a)]. 18107 K(x,K(y,z) * (T(u,w * K(y,z)) \ w)) = K(x,w * (u \ K(y,z))). [hyper(290,a,16071,a(flip),b,18106,a),flip(a)]. 18108 K(x,K(y,z) * (T(u,K(y,z) * w) \ w)) = K(x,w * (u \ K(y,z))). [para(13360(a,2),18107(a,1,2,2,1))]. 18109 K(x,K(y * z,z) * (T(u,K(y,z) * w) \ w)) = K(x,w * (u \ K(y * z,z))). [para(15004(a,1),18107(a,1,2,2,1))]. 18110 K(x,K(y,y \ z) * (T(u,K(z,y) * w) \ w)) = K(x,w * (u \ K(y,y \ z))). [para(15030(a,1),18107(a,1,2,2,1))]. 18111 K(x,K(y,z \ u) * (T(w,v5 * K(y,z * u)) \ v5)) = K(x,v5 * (w \ K(y,z \ u))). [para(15135(a,1),18107(a,1,2,2,1))]. 18112 K(x,K(y,L(z,u,w)) * (T(v5,K(y,z) * v6) \ v6)) = K(x,v6 * (v5 \ K(y,L(z,u,w)))). [para(16050(a,1),18107(a,1,2,2,1))]. 18113 K(x,K(y,z) * (T(u,K(z,y) * w) \ w)) = K(x,w * (u \ K(z,y))). [hyper(14725,a,18108,a)]. 18114 K(x,K(y / z,u) * (T(w,K(y / z,u) * v5) \ v5)) = K(x,v5 * (w \ K(z \ y,T(u,y)))). [para(7517(a,2),18108(a,2,2,2,2))]. 18115 K(x,K(y,z) * (T(u,K(y,z) * w) \ w)) = K(x,w * (u \ K(y * z,z))). [hyper(15038,a,18109,a)]. 18116 K(x,y * (z \ K(u * w,w))) = K(x,y * (z \ K(u,w))). [hyper(65,a,18108,a(flip),b,18115,a),flip(a)]. 18117 K(x,y * (z \ K(u * w,u))) = K(x,y * (z \ K(w,u))). [para(5094(a,1),18116(a,1,2,2,2))]. 18118 K(x,y * ((z * (u * w)) \ K(w,u))) = K(x,y / (z * T(u * w,u))). [hyper(65,a,17836,a(flip),b,18117,a),flip(a)]. 18119 K(x,y * (L(z / u,u,u) \ 1)) = K(x,y * (((u \ 1) * z) \ K(z,u))). [para(16920(a,1),18117(a,1,2,2))]. 18120 K(x,y / (z * T(u * w,u))) = K(x,y / (z * (w * u))). [hyper(65,a,18072,a(flip),b,18118,a),flip(a)]. 18121 K(x,y * (L(z / u,u,u) \ 1)) = K(x,y / ((u \ 1) * T(z,u))). [hyper(290,a,17836,a(flip),b,18119,a),flip(a)]. 18122 K(x,y * (L(z / u,u,u) \ 1)) = K(x,y / (z * (u \ 1))). [hyper(290,a,15197,a(flip),b,18121,a),flip(a)]. 18123 K(x,y / L(z / u,u,u)) = K(x,y / (z * (u \ 1))). [hyper(12975,a,18122,a)]. 18124 K(x,y / ((z * u) * (u \ 1))) = K(x,y / L(z,u,u)). [para(11(a,1),18123(a,1,2,2,1)),flip(a)]. 18125 K(x,y / L(K(z,u) * (u / z),z,z)) = K(x,y / (((z * u) / z) * (z \ 1))). [para(9853(a,1),18123(a,1,2,2,1))]. 18126 K(x,y / R(z,u,u)) = K(x,y / L(z,u,u)). [para(787(a,1),18124(a,1,2,2))]. 18127 K(x,K(y,z) * (T(u,K(z,y) * w) \ w)) = K(x,w * (u \ K(y,y \ z))). [hyper(15022,a,18110,a)]. 18128 K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(w,u))). [hyper(65,a,18113,a(flip),b,18127,a),flip(a)]. 18129 K(x,y / (z * ((u \ w) \ w))) = K(x,y * ((z * u) \ K(w,u))). [hyper(65,a,17864,a,b,18128,a)]. 18130 K(x,y / (z * ((u \ w) \ w))) = K(x,y / (z * T(u,w))). [hyper(290,a,14695,a(flip),b,18129,a),flip(a)]. 18131 K(x,y / (z * T((u * w) * (1 / u),u * w))) = K(x,y / (z * ((w * u) * (1 / u)))). [para(6016(a,1),18130(a,1,2,2,2)),flip(a)]. 18132 K(x,(y * ((z \ u) \ u)) \ w) = K(x,K(w,z * y)) * K(x,w / (y * T(z,u))). [para(18130(a,1),14887(a,1,2)),flip(a)]. 18133 K(x,(y * ((z \ u) \ u)) \ w) = K(x,(y * T(z,u)) \ w). [hyper(290,a,14886,a(flip),b,18132,a),flip(a)]. 18134 K(x,(y * T(z,u * z)) \ w) = K(x,(y * T(z,u)) \ w). [para(3624(a,2),18133(a,1,2,1,2)),flip(a)]. 18135 K(x,(y * T((z * u) * (1 / z),z * u)) \ w) = K(x,(y * ((u * z) * (1 / z))) \ w). [para(6016(a,1),18133(a,1,2,1,2)),flip(a)]. 18136 K(x,(y * T(z \ 1,u * z)) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(6660(a,2),18133(a,1,2,1,2))]. 18137 K(x,T(T(y,y * T(z \ 1,u * z)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(3505(a,2),18136(a,1,2,1))]. 18138 K(x,L(T(y,z) \ u,T(z,y),z * y)) = K(x,z \ ((z \ y) \ u)). [hyper(65,a,14730,a(flip),b,17910,a),flip(a)]. 18140 K(x,L(T(y,z) \ u,z,z * y)) = K(x,z \ ((z \ y) \ u)). [hyper(65,a,17794,a(flip),b,18138,a)]. 18141 K(x,L(T(y,z) * u,z,z * (y \ 1))) = K(x,z \ ((z \ (y \ 1)) \ u)). [hyper(17961,a,18140,a)]. 18142 K(x,L(T(y,1 / z) \ u,1 / z,(1 / z) * y)) = K(x,z * (((1 / z) \ y) \ u)). [hyper(290,a,12837,a(flip),b,18140,a),flip(a)]. 18144 K(x,L(T((y * z) / y,y) \ u,y,T(y,z) * z)) = K(x,y \ ((y \ ((y * z) / y)) \ u)). [para(3472(a,2),18140(a,1,2,3))]. 18145 K(x,L(T(a(y,y,z),1 / z) \ u,1 / z,1 / L(z,y,y))) = K(x,(1 / z) \ (((1 / z) \ a(y,y,z)) \ u)). [para(6192(a,1),18140(a,1,2,3))]. 18146 K(x,L(T(y,z) * u,z,z * y)) = K(x,z \ ((z \ (y \ 1)) \ u)). [para(16683(a,1),18141(a,1,2))]. 18147 K(x,L(T(y * z,y) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). [para(8(a,1),18061(a,1,2,1,1,2))]. 18148 K(x,(y * ((1 / y) * z)) / (u * (y \ 1))) = K(x,(y * (y * z)) / (u * y)). [hyper(65,a,16266,a(flip),b,18147,a),flip(a)]. 18149 K(x,L(y,z,z) / (u * (z \ 1))) = K(x,(z * (z * y)) / (u * z)). [hyper(65,a,16707,a(flip),b,18148,a)]. 18150 K(x,L((y * z) / u,y,z)) = K(x,(z * (z * y)) / (u * z)). [hyper(65,a,18004,a,b,18149,a)]. 18151 K(x,L(T(y,z \ 1) \ u,1 / z,(1 / z) * y)) = K(x,z * (((1 / z) \ y) \ u)). [para(2635(a,1),18142(a,1,2,1,1))]. 18152 K(x,L(T(y,z \ 1) \ u,1 / z,z * y)) = K(x,z * (((1 / z) \ y) \ u)). [para(1861(a,1),18151(a,1,2))]. 18153 K(x,L(T(y,z \ 1) \ u,z,z * y)) = K(x,z * (((1 / z) \ y) \ u)). [para(16684(a,1),18152(a,1,2))]. 18154 K(x,L(T(y,z * 1) \ u,z,z * y)) = K(x,z * (((1 / z) \ y) \ u)). [hyper(15175,a,18153,a)]. 18155 K(x,L(T(y,z) \ u,z,z * y)) = K(x,z * (((1 / z) \ y) \ u)). [para(8(a,1),18154(a,1,2,1,1,2))]. 18156 K(x,y * (((1 / y) \ z) \ u)) = K(x,y \ ((y \ z) \ u)). [hyper(65,a,18140,a(flip),b,18155,a),flip(a)]. 18157 K(x,K(y * z,u) * (w * T(v5,K(y * z,u) * w))) = K(x,v5 * (K(y \ z,u) * w)). [para(15084(a,1),17545(a,1,2,2,2))]. 18158 T(x,y * (L(z \ (u \ z),w,K(v5,v6)) * z)) = T(x,y * (z / L(u,w,K(v5,v6)))). [hyper(290,a,15277,a(flip),b,17591,a),flip(a)]. 18159 T(x,y * (z / L(u,w,K(v5,v6)))) = T(x,y * ((z \ (u \ z)) * z)). [hyper(17630,a,18158,a),flip(a)]. 18161 T(x,y * T(z \ u,u)) = T(x,y * (u / L(z,w,K(v5,v6)))). [hyper(290,a,15991,a(flip),b,18159,a)]. 18162 T(x,y * (z / L(u,w,K(v5,v6)))) = T(x,y * (z / u)). [hyper(15278,a,18161,a),flip(a)]. 18163 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / L(z,w,K(v5,v6))) * y). [hyper(65,a,17546,a(flip),b,18162,a),flip(a)]. 18165 T(x,(y / L(z,u,K(w,v5))) * v6) = T(x,(y / z) * v6). [hyper(65,a,14644,a(flip),b,18163,a),flip(a)]. 18166 K(x,L(y * (z \ K(z,u)),w,v5)) = K(x,L(y / T(z,u),w,v5)). [hyper(11477,a,17779,a),flip(a)]. 18167 K(x,L(y / ((z * u) / z),w,v5)) = K(x,L(y / T(u,z),w,v5)). [hyper(13886,a,18166,a)]. 18168 K(x,L(y / (z \ K(u,z \ 1)),w,v5)) = K(x,L(y / T(z \ 1,u),w,v5)). [hyper(65,a,13888,a(flip),b,18166,a)]. 18169 K(x,L(y / (T(z,u \ z) / u),w,v5)) = K(x,L(y / T(z / u,z),w,v5)). [para(3488(a,2),18167(a,1,2,1,2))]. 18170 K(x,L(y / (z \ K(u,z \ 1)),w,v5)) = K(x,L(y * T(z,u),w,v5)). [hyper(290,a,18101,a(flip),b,18168,a),flip(a)]. 18171 K(x,L(y * (K(z \ 1,u) * z),w,v5)) = K(x,L(y * T(z,u),w,v5)). [hyper(13575,a,18170,a)]. 18172 K(x,L(y * (z * K(z \ 1,u)),w,v5)) = K(x,L(y * T(z,u),w,v5)). [para(5304(a,1),18171(a,1,2,1,2))]. 18173 K(x,L(y * ((z / u) * K((z / u) \ 1,u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). [para(106(a,1),18172(a,2,2,1,2))]. 18174 K(x,L(y / (T(z,u \ z) / u),w,v5)) != v6 | K(x,L(y / (u \ z),w,v5)) = v6. [para(18169(a,2),13908(a,1))]. 18175 K(x,L(y * ((z / u) * K(z \ u,u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). [para(5881(a,1),18173(a,1,2,1,2,2))]. 18176 K(x,L(y * (z / T(u,z \ u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). [para(6735(a,1),18175(a,1,2,1,2))]. 18177 K(x,K(y,L(z,u,w)) * (v5 \ ((y * u) * w))) = K(x,v5 \ (T(R(y,u,w),z) * (u * w))). [para(14385(a,1),17819(a,1,2,1))]. 18178 K(x,(T(T(y,z * z),z \ 1) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). [para(2635(a,1),17835(a,1,2,1,1))]. 18179 K(x,(((1 / y) * z) \ u) * K(y \ 1,y * w)) = K(x,(T(y \ 1,y \ w) * z) \ u). [para(10979(a,1),17860(a,1,2,2))]. 18180 K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,y \ (z * v5)). [hyper(290,a,14737,a(flip),b,17923,a),flip(a)]. 18182 K(x,y \ (z * ((K(u,w) * K(u,w)) * v5))) = K(x,y \ (z * v5)). [para(34(a,1),18180(a,1,2,2))]. 18183 K(x,y \ ((z * (u * K(w,u))) * v5)) = K(x,y \ ((z * T(u,w)) * v5)). [para(4912(a,1),18182(a,1,2,2))]. 18184 K(x,T(y,T(z,u * w) \ v5) \ (T(z,u * w) \ v5)) = K(x,(T(z,u \ w) \ v5) / y). [para(15113(a,1),17968(a,1,2,1))]. 18185 R(T(x,y),T(z \ u,w),x) = R(T(x,y),z \ u,x). [para(14719(a,1),18014(a,1,1)),flip(a)]. 18186 R(T(x,T(a(y,z,u) \ x,w)),a(y,z,u) \ 1,x) = T(x,a(y,z,u) \ 1). [hyper(65,a,16433,a(flip),b,18185,a),flip(a)]. 18189 R(T(x,T(a(y,z,u) \ x,w)),a(y,z,u),x) = T(x,a(y,z,u) \ 1). [hyper(65,a,1733,a(flip),b,18186,a)]. 18190 T(x,T(a(y,z,u) \ x,w)) = T(x,a(y,z,u) \ 1). [hyper(65,a,12771,a(flip),b,18189,a)]. 18192 K(x,K(y,z \ u) * (T(w,v5 * K(y,z * u)) \ v5)) = K(x,v5 * (w \ K(y,T(u / z,u)))). [para(7115(a,2),18111(a,2,2,2,2))]. 18193 K(x,K(y,z) * (T(u,K(y,z) * w) \ w)) = K(x,w * (u \ K(y,L(z,v5,v6)))). [hyper(16059,a,18112,a)]. 18195 K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y * (z \ K(u,w))). [hyper(65,a,18108,a(flip),b,18193,a),flip(a)]. 18196 K(x,y / ((z \ 1) * (T(u,1 / z) * K(w,v5)))) = K(x,y * ((u * (1 / z)) \ K(v5,w))). [hyper(65,a,15317,a,b,18195,a)]. 18197 K(x,y / (z * ((1 / u) * (u * w)))) = K(x,y / (z * ((w * u) * (1 / u)))). [hyper(65,a,18120,a(flip),b,18131,a)]. 18198 K(x,y / (z * ((u * w) * (1 / w)))) = K(x,y / (z * L(u,w,w))). [para(665(a,1),18197(a,1,2,2,2)),flip(a)]. 18199 K(x,(y * ((1 / z) * (z * u))) \ w) = K(x,(y * ((u * z) * (1 / z))) \ w). [hyper(65,a,12486,a(flip),b,18135,a)]. 18200 K(x,(y * ((z * u) * (1 / u))) \ w) = K(x,(y * L(z,u,u)) \ w). [para(665(a,1),18199(a,1,2,1,2)),flip(a)]. 18201 K(x,(y * ((z * u) * (u \ 1))) \ w) = K(x,(y * L(z,u,u)) \ w). [hyper(65,a,5260,a(flip),b,18200,a)]. 18202 K(x,(y * R(z,u,u)) \ w) = K(x,(y * L(z,u,u)) \ w). [para(787(a,1),18201(a,1,2,1,2))]. 18203 K(x,(y * L(1 / y,z,z)) \ u) = K(x,a(y,z,z) \ u). [hyper(65,a,16912,a(flip),b,18202,a),flip(a)]. 18204 K(x,(y * L(y \ 1,z,z)) \ u) = K(x,a(y,z,z) \ u). [hyper(65,a,5474,a(flip),b,18203,a)]. 18205 K(x,(y \ L(y,z,z)) \ u) = K(x,a(y,z,z) \ u). [para(4342(a,1),18204(a,1,2,1))]. 18206 K(x,y * (L(y,z,z) \ u)) = K(x,a(y,z,z) \ u). [hyper(17211,a,18205,a)]. 18207 T(x,y * (L(y,z,z) \ u)) = x * K(x,a(y,z,z) \ u). [para(18206(a,1),4471(a,2,2))]. 18208 T(x,y * (L(y,z,z) \ u)) = T(x,a(y,z,z) \ u). [hyper(290,a,4471,a,b,18207,a),flip(a)]. 18209 K(x,L(y,z,K(u * w,v5)) * (K(u * w,v5) * z)) = K(x,y * (K(u \ w,v5) * z)). [para(624(a,1),18157(a,1,2))]. 18210 K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(z * u,w) * v5)). [hyper(65,a,17524,a(flip),b,18209,a),flip(a)]. 18212 K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * ((K(u,z \ 1) / z) \ w)). [para(6605(a,1),18210(a,1,2,2)),flip(a)]. 18213 K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * ((z \ K(u,z \ 1)) \ w)). [hyper(290,a,17270,a(flip),b,18212,a),flip(a)]. 18214 K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * (T(z \ 1,u) \ w)). [hyper(290,a,16321,a(flip),b,18213,a),flip(a)]. 18215 K(x,y * (K(z,u) * ((1 / z) \ w))) = K(x,y * (T(z \ 1,u) \ w)). [para(8(a,1),18214(a,1,2,2,1,1))]. 18216 K(x,y * ((1 / T(z,u)) \ w)) = K(x,y * (T(z \ 1,u) \ w)). [para(5552(a,1),18215(a,1,2,2))]. 18217 K(x,y \ (T(R(z,u,w),v5) * (u * w))) = K(x,K(z,v5) * (y \ ((z * u) * w))). [hyper(16059,a,18177,a),flip(a)]. 18219 K(x,K(y,z) * (u \ ((y * w) * v5))) = K(x,u \ ((T(y,z) * w) * v5)). [para(499(a,1),18217(a,1,2,2)),flip(a)]. 18220 K(x,y \ (T(z * u,u) * w)) = K(x,y \ ((T(z,u) * u) * w)). [hyper(65,a,17816,a(flip),b,18219,a)]. 18221 K(x,y \ (T(z * u,u) * w)) = K(x,y \ ((u * z) * w)). [hyper(290,a,16494,a(flip),b,18220,a),flip(a)]. 18222 K(x,y \ (T(z * u,z) * w)) = K(x,y \ ((u * z) * w)). [hyper(65,a,17981,a(flip),b,18221,a)]. 18223 K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ ((u * K(u \ z,u)) * w)). [para(4388(a,2),18221(a,1,2,2,1,1))]. 18224 K(x,y \ (((z \ u) * z) * w)) = K(x,y \ (T(u,z) * w)). [para(10(a,1),18222(a,1,2,2,1,1)),flip(a)]. 18225 K(x,y \ (T(z / (z \ u),z) * w)) = K(x,y \ (((((u \ z) \ 1) \ 1) * z) * w)). [para(16704(a,1),18222(a,1,2,2,1,1))]. 18226 K(x,y \ (T(z \ u,z \ 1) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). [para(1045(a,1),18224(a,1,2,2,1)),flip(a)]. 18227 K(x,y \ (((z \ (L(z,u,z) * u)) * z) * w)) = K(x,y \ ((u * z) * w)). [para(3708(a,1),18224(a,2,2,2,1))]. 18228 K(x,y \ ((z * L(u,z,u)) * w)) = K(x,y \ ((z * u) * w)). [para(11551(a,1),18227(a,1,2,2,1))]. 18229 K(x,y \ ((T(z,u * z) * u) * w)) = K(x,y \ ((u * z) * w)). [hyper(65,a,16496,a,b,18228,a)]. 18230 K(x,y \ ((T(z,z * u) * u) * w)) = K(x,y \ ((u * z) * w)). [para(3657(a,1),18229(a,1,2,2,1,1))]. 18231 K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,T(y * (y * z),y) \ ((z * y) * u)). [hyper(65,a,14789,a(flip),b,18230,a)]. 18232 K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (u * (K(u \ z,u) * w))). [para(5101(a,1),18223(a,2,2,2))]. 18233 K(x,y \ (T(z \ u,z * 1) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). [hyper(65,a,17963,a(flip),b,18226,a)]. 18234 K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (T(u,u \ z) * w)). [hyper(290,a,16322,a(flip),b,18232,a),flip(a)]. 18235 K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (T(u,z) * w)). [hyper(290,a,12565,a(flip),b,18234,a),flip(a)]. 18236 K(x,y \ ((z / (z / u)) * w)) = K(x,y \ (T(u,z) * w)). [para(325(a,1),18235(a,1,2,2,1))]. 18237 K(x,((y / (y / z)) * u) / w) = K(x,K(w,z * u)) * K(x,w \ (T(z,y) * u)). [para(18236(a,1),16468(a,1,2)),flip(a)]. 18238 K(x,y \ ((z \ T(u,z \ 1)) * w)) = K(x,y \ (T(z \ u,z) * w)). [para(8(a,1),18233(a,1,2,2,1,2)),flip(a)]. 18239 K(x,y \ ((z \ T(u,z \ 1)) * w)) = K(x,y \ ((u / z) * w)). [hyper(290,a,16324,a(flip),b,18238,a),flip(a)]. 18241 K(x,y \ (((((z \ u) \ 1) \ 1) * u) * w)) != v5 | K(x,y \ (((u \ z) \ u) * w)) = v5. [para(18225(a,1),13590(a,1))]. 18243 K(x,((y / (y / z)) * u) / w) != v5 | K(x,(T(z,y) * u) / w) = v5. [para(18237(a,2),14881(a,1))]. 18244 K(x,(T(y,(z \ 1) * (z * z)) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). [para(1723(a,1),18178(a,1,2,1,1))]. 18245 K(x,(((1 / y) * z) \ u) * K(y,y * w)) = K(x,(T(y \ 1,y \ w) * z) \ u). [hyper(15108,a,18179,a)]. 18246 K(x,(T(y \ 1,y \ z) * u) \ w) = K(x,(((1 / y) * u) \ w) * K(z,y)). [hyper(15039,a,18245,a),flip(a)]. 18247 K(x,(((1 / y) * z) \ u) * K(w,y)) = K(x,(T(y \ 1,w) * z) \ u). [hyper(65,a,17909,a(flip),b,18246,a),flip(a)]. 18248 K(x,(T(y \ 1,z) * T(u,y)) \ w) = K(x,(((y * y) \ u) * T(y,z)) \ w). [hyper(65,a,17848,a(flip),b,18247,a),flip(a)]. 18249 K(x,(T(y,z \ u) \ w) / v5) != v6 | K(x,(T(y,z * u) \ w) / v5) = v6. [para(18184(a,1),12369(a,1))]. 18251 K(x,y / ((z \ 1) * (T(u,z \ 1) * K(w,v5)))) = K(x,y * ((u * (1 / z)) \ K(v5,w))). [para(2635(a,1),18196(a,1,2,2,2,1))]. 18252 K(x,T((y \ 1) * z,y * y) \ u) = K(x,(T(z,y * 1) * (1 / y)) \ u). [para(13270(a,1),18244(a,1,2,1,1)),flip(a)]. 18253 K(x,T((y \ 1) * z,y * y) \ u) = K(x,(T(z,y) * (1 / y)) \ u). [para(8(a,1),18252(a,2,2,1,1,2))]. 18254 K(x,T((y \ 1) * z,y * y) \ u) = K(x,(T(z,y) * (y \ 1)) \ u). [hyper(290,a,5258,a(flip),b,18253,a),flip(a)]. 18255 K(x,(T(y,z) * (z \ 1)) \ u) = K(x,((z \ 1) * y) \ u). [hyper(65,a,15141,a(flip),b,18254,a),flip(a)]. 18257 K(x,(T(y,y \ z) * ((z / y) \ 1)) \ u) = K(x,(((z / y) \ 1) * y) \ u). [para(3609(a,1),18255(a,1,2,1,1))]. 18258 K(x,(((y / z) \ 1) * z) \ u) = K(x,(z * ((z \ y) \ 1)) \ u). [para(5280(a,1),18257(a,1,2,1)),flip(a)]. 18259 K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(y * ((y \ z) \ 1)) \ u). [hyper(65,a,16408,a,b,18258,a)]. 18260 K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(y * (1 / (y \ z))) \ u). [hyper(290,a,5258,a,b,18259,a),flip(a)]. 18261 K(x,(y \ L(y,z,z)) * ((L(y,z,z) \ u) * a(y,z,z))) = K(x,(y * (1 / (y \ L(y,z,z)))) \ u). [hyper(65,a,16951,a(flip),b,18260,a)]. 18262 K(x,K(y,z) * (u / ((w \ 1) * T(v5,w \ 1)))) = K(x,u * ((v5 * (1 / w)) \ K(y,z))). [hyper(65,a,18069,a(flip),b,18251,a)]. 18263 K(x,K(y,z) * (u / (w * (v5 \ 1)))) = K(x,u * ((w * (1 / v5)) \ K(y,z))). [para(104(a,1),18262(a,1,2,2,2))]. 18265 K(x,y / ((z * K(u,w)) * L(v5,K(w,u),z))) = K(x,K(T(w,z),u) * (y / (z * v5))). [hyper(65,a,18071,a(flip),b,17575,a),flip(a)]. 18266 K(x,y / ((z * K(u,w)) * L(v5,K(w,u),z))) = K(x,K(w,T(u,z)) * (y / (z * v5))). [para(7162(a,1),18265(a,2,2,1))]. 18267 K(x,y / ((z * K(u,w)) * L(v5,K(w,u),z))) = K(x,K(u,w) * (y / (z * v5))). [hyper(290,a,14728,a(flip),b,18266,a),flip(a)]. 18269 K(x,y / (z * (K(u,w) * v5))) = K(x,K(u,w) * (y / (z * v5))). [para(16709(a,1),18267(a,1,2,2))]. 18270 (x \ (K(y,z) * u)) * (K(z,y) * K(z,y)) = x \ (K(z,y) * u). [para(8462(a,1),17925(a,1,2,1)),flip(a)]. 18271 ((K(x,y) \ 1) * (x \ y)) \ z = (x \ y) \ (K(x,y) * z). [hyper(65,a,17975,a(flip),b,18270,a)]. 18274 (K(x,y) * (y \ x)) \ z = (y \ x) \ (K(y,x) * z). [para(4810(a,1),18271(a,1,1,1))]. 18275 (x \ y) \ (K(x,y) * z) = (T(x,y) \ y) \ z. [para(4889(a,1),18274(a,1,1)),flip(a)]. 18276 K(x,L(y \ z,u,T(u,y) * y)) = K(x,u \ ((u \ ((u * y) / u)) \ z)). [para(214(a,1),18144(a,1,2,1,1))]. 18277 K(x,L(y \ z,u,y * u)) = K(x,u \ ((u \ ((u * y) / u)) \ z)). [para(13162(a,1),18276(a,1,2))]. 18278 K(x,y \ ((y \ ((y * z) / y)) \ u)) = K(x,y \ ((z / y) \ u)). [hyper(65,a,17577,a(flip),b,18277,a),flip(a)]. 18279 T(T(a(x,y,z) \ 1,(a(x,y,z) \ 1) \ 1),u) = (a(x,y,K(u,z)) * a(x,y,z)) \ 1. [para(15888(a,1),17604(a,2,1))]. 18280 T(T(a(x,y,z) \ 1,(a(x,y,z) \ 1) \ 1),u) = T(a(x,y,z),u) \ 1. [para(15816(a,1),18279(a,2,1))]. 18281 T(T(a(x,y,z) \ 1,a(x,y,z)),u) = T(a(x,y,z),u) \ 1. [para(1787(a,1),18280(a,1,1))]. 18282 T(1 / a(x,y,z),u) = T(a(x,y,z),u) \ 1. [para(2563(a,1),18281(a,1,1))]. 18283 T(a(x,y,z) \ 1,u) = T(a(x,y,z),u) \ 1. [para(12644(a,1),18282(a,1,1))]. 18284 K(x,T(a(y,z,u) \ 1,w) \ ((T(a(y,z,u),w) \ T(a(y,z,u) \ 1,w)) * v5)) = K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)). [para(18283(a,2),18090(a,1,2,2,1,2))]. 18285 K(x,K(y,z) * (y \ u)) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). [para(15104(a,1),17757(a,1,1))]. 18286 K(x,T(y,z) \ u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). [para(14731(a,1),18285(a,1,1))]. 18287 K(x,T(y,z) \ u) * K(x,K(u,y)) = K(x,u * T(y \ 1,z)). [para(14844(a,1),18286(a,1,2))]. 18288 K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u * T(y \ 1,z)). [para(7429(a,1),18287(a,1,2))]. 18290 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [hyper(65,a,13476,a(flip),b,18288,a),flip(a)]. 18291 K(x,((a(y,z,u) \ 1) \ w) / T(a(y,z,u),v5)) = K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)). [hyper(65,a,16966,a(flip),b,18290,a),flip(a)]. 18292 K(x,(y * z) \ u) * a(w,v5,K((y * z) \ u,x)) = K(x,L(T(z * y,z) \ u,v5,w)). [para(12365(a,1),17846(a,1,1))]. 18293 K(x,L(T(y * z,y) \ u,w,v5)) = K(x,L((z * y) \ u,w,v5)). [hyper(11477,a,18292,a),flip(a)]. 18294 K(x,L(T(y * z,y) \ u,w,v5)) != v6 | K(x,L((z * y) \ u,w,v5)) = v6. [para(18292(a,1),11477(a,1))]. 18295 K(x,L(((1 / y) * (y * z)) \ u,w,v5)) = K(x,L(R(z,y,y) \ u,w,v5)). [hyper(65,a,12711,a(flip),b,18293,a),flip(a)]. 18296 K(x,L(R(y,z,z) \ u,w,v5)) = K(x,L(L(y,z,z) \ u,w,v5)). [para(665(a,1),18295(a,1,2,1,1)),flip(a)]. 18297 K(x,L(L(y,z,z) \ u,a(y,z,z),y)) = K(x,a(y,z,z) \ (y \ u)). [hyper(65,a,14516,a(flip),b,18296,a),flip(a)]. 18298 K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w) = K(x,y * (T(T(y,z),z) * (u \ w))). [para(15052(a,1),17926(a,1,2,2)),flip(a)]. 18299 K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w) = K(x,y * (y * (u \ w))). [hyper(290,a,16311,a(flip),b,18298,a),flip(a)]. 18301 K(K(x,y * (y * K(z,u))) * K(u,(w * (w / x)) * z),v5) = K(K(u,(w * (w / x)) \ z),v5). [hyper(65,a,15383,a(flip),b,17991,a)]. 18302 K(x,K(y / z,u) * (T(w,K(z * y,u) * v5) \ v5)) = K(x,v5 * (w \ K(z \ y,T(u,y)))). [para(15088(a,1),18114(a,1,2,2,1))]. 18303 K(x,K(y,z * u) * (T(w,v5 * K(y,z * u)) \ v5)) = K(x,v5 * (w \ K(y,T(u / z,u)))). [hyper(15110,a,18192,a)]. 18304 K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,((y * z) * y) \ ((z * y) * u)). [hyper(290,a,12365,a(flip),b,18231,a),flip(a)]. 18305 K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,(y * (z * y)) \ ((z * y) * u)). [hyper(290,a,12488,a(flip),b,18304,a),flip(a)]. 18306 K(x,(y * (z * y)) \ ((z * y) * u)) = K(x,(y * (y * z)) \ ((y * z) * u)). [para(9(a,1),18305(a,1,2,2,1)),flip(a)]. 18307 K(x,(y * (z * y)) \ ((z * y) * u)) = K(x,z \ ((y \ z) * u)). [hyper(290,a,16627,a(flip),b,18306,a),flip(a)]. 18309 K(x,L(T(y,z) \ u,u,z * y)) = K(x,z \ ((y \ z) * u)). [hyper(65,a,12489,a,b,18307,a)]. 18310 K(x,L(T(y,z \ 1) \ u,u,(z \ 1) * y)) = K(x,z * ((y \ (z \ 1)) * u)). [hyper(290,a,12838,a(flip),b,18309,a),flip(a)]. 18311 K(x,L(T(y * z,y) \ u,u,z)) = K(x,y \ (((y * z) \ y) * u)). [hyper(65,a,16606,a(flip),b,18309,a)]. 18312 K(x,L(T(y,T(z,u)) \ w,w,(z * K(u,z)) * y)) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). [para(7608(a,1),18309(a,1,2,1,1))]. 18313 K(x,y \ (((y * z) \ y) * u)) != w | K(x,L((z * y) \ u,u,z)) = w. [para(18311(a,1),18294(a,1))]. 18314 K(x,L(T(y,z \ 1) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). [para(1858(a,1),18310(a,1,2))]. 18315 K(x,L(T(y,z * 1) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). [hyper(15175,a,18314,a)]. 18316 K(x,L(T(y,z) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). [para(8(a,1),18315(a,1,2,1,1,2))]. 18317 K(x,y * ((z \ (y \ 1)) * u)) = K(x,y \ ((z \ y) * u)). [hyper(65,a,18309,a(flip),b,18316,a),flip(a)]. 18318 K(K(x,y * (y * K(z,u))) * K(u,(w / x) * (w \ z)),v5) = K(K(u,(w * (w / x)) \ z),v5). [hyper(16264,a,18301,a)]. 18319 K(x,K(y * z,u) * (T(w,K(y * z,u) * v5) \ v5)) = K(x,v5 * (w \ K(y \ z,T(u,z)))). [hyper(15163,a,18302,a)]. 18320 K(x,y * (z \ K(u,T(w / v5,w)))) = K(x,y * (z \ K(u,v5 * w))). [hyper(65,a,18107,a(flip),b,18303,a),flip(a)]. 18321 K(x,y / (z * T(u,T(w / v5,w)))) = K(x,y * ((z * u) \ K(u,v5 * w))). [hyper(65,a,17836,a(flip),b,18320,a)]. 18322 K(x,y / (z * T(u,T(w / v5,w)))) = K(x,y / (z * T(u,v5 * w))). [hyper(290,a,17836,a(flip),b,18321,a),flip(a)]. 18323 K(x,y / (z * T(u,w \ v5))) = K(x,y / (z * T(u,w * v5))). [para(8331(a,1),18322(a,1,2,2,2))]. 18324 K(K(x,K(y,z)) * K(z,(u / x) * (u \ y)),w) = K(K(z,(u * (u / x)) \ y),w). [hyper(65,a,15395,a(flip),b,18318,a)]. 18325 K(K(x,(y * (y / z)) \ u),w) = K(K(x,(y / z) * (y \ u)),w). [hyper(14626,a,18324,a),flip(a)]. 18327 K(K(x,(y * (y / z)) \ u),w) = K(x,K(w,(y / z) * (y \ u))). [hyper(290,a,7426,a(flip),b,18325,a),flip(a)]. 18328 K(K(x,(y * (y / z)) \ u),w) = K(x,K(w,y * (z * (y \ u)))). [hyper(290,a,15962,a(flip),b,18327,a),flip(a)]. 18329 K(x,K(y,(z * (z / u)) \ w)) = K(x,K(y,z * (u * (z \ w)))). [hyper(7625,a,18328,a)]. 18330 K(x,K(y,z * ((u \ z) \ w))) = K(x,K(y,z * (u * (z \ w)))). [hyper(16299,a,18329,a)]. 18331 K(x,y * (z \ K(u \ w,T(v5,w)))) = K(x,y * (z \ K(u * w,v5))). [hyper(65,a,18108,a(flip),b,18319,a),flip(a)]. 18332 K(x,y * (z \ K(u \ w,v5))) = K(x,y * (z \ K(u * w,v5))). [hyper(65,a,14668,a(flip),b,18331,a)]. 18334 K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(z * y,z))). [hyper(65,a,16777,a,b,18332,a)]. 18335 K(x,y * ((z * (u \ w)) \ K(u * w,v5))) = K(x,y / (z * T(u \ w,v5))). [hyper(65,a,17836,a(flip),b,18332,a),flip(a)]. 18336 K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(y,z))). [hyper(290,a,18117,a(flip),b,18334,a),flip(a)]. 18337 K(x,((y / (y / z)) * u) / (w * z)) = K(x,(z * u) / (w * T(z,y))). [hyper(290,a,14695,a(flip),b,18336,a),flip(a)]. 18338 K(x,(T(y,z) * u) / (w * y)) = K(x,(y * u) / (w * T(y,z))). [hyper(18243,a,18337,a)]. 18339 K(x,y * ((z * (u \ w)) \ K(u,w))) = K(x,y / (z * T(u \ w,w))). [hyper(65,a,18116,a(flip),b,18335,a)]. 18340 K(x,y * ((z * (u \ K(w,v5))) \ K(u,K(w,v5)))) = K(x,y / (z * (K(w,v5) * (u \ 1)))). [para(12850(a,1),18339(a,2,2,2,2))]. 18341 K(x,y / (z * (K(u,w) * (v5 \ 1)))) != v6 | K(x,y / (z * (v5 \ K(u,w)))) = v6. [para(18340(a,1),17760(a,1))]. 18342 K(x,K(y,z) * (u / (w * (v5 \ 1)))) = K(x,u / (w * (v5 \ K(y,z)))). [hyper(18341,a,18269,a),flip(a)]. 18343 K(x,y * ((z * (1 / u)) \ K(w,v5))) = K(x,y / (z * (u \ K(w,v5)))). [hyper(65,a,18263,a(flip),b,18342,a)]. 18344 K(x,y / (T(L(z,z,z * u),w) \ (z * u))) = K(x,y / ((u * z) * (z \ K(z,w)))). [hyper(65,a,16995,a,b,18343,a)]. 18345 K(x,y / (T(L(z,z,z * u),w) \ (z * u))) = K(x,y / R(u * K(z,w),z,z)). [para(10663(a,1),18344(a,2,2,2))]. 18346 K(x,y / (T(L(z,z,z * u),w) \ (z * u))) = K(x,y / L(u * K(z,w),z,z)). [hyper(290,a,18126,a(flip),b,18345,a),flip(a)]. 18347 K(x,y / (K(z,u) * ((w * u) * (1 / u)))) = K(x,y / L(w * K(u,z),u,u)). [para(16993(a,1),18346(a,1,2,2))]. 18348 K(x,y / L(z * K(u,w),u,u)) = K(x,y / (K(w,u) * L(z,u,u))). [hyper(65,a,18198,a(flip),b,18347,a),flip(a)]. 18349 K(x,y / L(z * K(u,w),u,u)) = K(x,y * (L(z,u,u) \ K(u,w))). [hyper(290,a,12981,a(flip),b,18348,a),flip(a)]. 18350 R(K(x,y),z,L(z \ u,z,K(x,y))) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). [para(10(a,1),17579(a,1,1,2)),flip(a)]. 18351 K(x,L(y,z,L(z \ u,z,K(x,y)))) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). [hyper(14408,a,18350,a)]. 18353 (K(x,y) * z) / (z * a(y,u,K(x,u * z))) = K(x,L(y,u,u \ z)). [hyper(17561,a,18351,a),flip(a)]. 18355 (K(x,y) * z) / (z * a(y,u,K(x,u * z))) = K(x,L(y,u,u * z)). [hyper(290,a,16602,a(flip),b,18353,a),flip(a)]. 18356 K(x,K(y,L(z,u,w)) * ((w * (u * z)) \ v5)) = K(x,(w * (u * (z * K(y,z)))) \ v5). [hyper(65,a,14669,a(flip),b,17768,a)]. 18358 K(x,(y * (z * (u * K(w,u)))) \ v5) = K(x,(y * (z * T(u,w))) \ v5). [hyper(65,a,17727,a(flip),b,18356,a),flip(a)]. 18359 ((x * (y \ R(y,z,y))) / (K(y,z) * x)) / (K(y,z) * x) = (K(z,y) / x) * K(y * z,y). [hyper(290,a,14838,a(flip),b,17789,a),flip(a)]. 18360 K(x * y,x) / (K(x,y) * z) = (K(y,x) / z) * K(x * y,x). [para(10262(a,1),18359(a,1,1))]. 18361 (K(x * y,x) / z) * K(y,x) = (K(y,x) / z) * K(x * y,x). [hyper(65,a,15946,a(flip),b,18360,a)]. 18363 a(K(x,y) * ((K(y,x) / z) * K(x * y,x)),u,w) = a((1 / z) * K(x * y,x),u,w). [para(18361(a,1),17141(a,1,1,2))]. 18364 a(T(a(x,y,x) * (K(y,x) / z),K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). [para(16016(a,1),18363(a,1,1))]. 18365 a(a(x,y,x) * (K(y,x) / z),u,w) = a((1 / z) * K(x * y,x),u,w). [hyper(65,a,16297,a(flip),b,18364,a)]. 18367 a(a(x,y,x) * (z * K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). [hyper(65,a,12942,a(flip),b,18365,a)]. 18368 a((1 / x) * K(y * z,y),u,w) = a(x * K(y,z),u,w). [hyper(12103,a,18367,a),flip(a)]. 18370 a(x * K(y * z,y),u,w) = a(x * K(y,z),u,w). [hyper(65,a,2172,a(flip),b,18368,a)]. 18371 a((x \ y) * K(z * (z \ y),z),u,w) = a(x \ (z * (y / z)),u,w). [para(16957(a,1),18370(a,2,1))]. 18372 a(x \ (y * (z / y)),u,w) = a((x \ z) * K(z,y),u,w). [para(10(a,1),18371(a,1,1,2,1)),flip(a)]. 18373 a(x \ (y * (z / y)),u,w) = a(x \ T(z,y),u,w). [para(13120(a,1),18372(a,2,1))]. 18374 a(x \ T((y * (z * y)) / y,T(y,y * z)),u,w) = a(x \ (T(y,y * z) * z),u,w). [para(3668(a,1),18373(a,1,1,2,2)),flip(a)]. 18375 a(x \ T((y * (z * y)) / y,T(y,z)),u,w) = a(x \ (T(y,y * z) * z),u,w). [para(8337(a,1),18374(a,1,1,2))]. 18376 a(x \ T(y * z,K(z,y)),u,w) = a(x \ (T(z,z * y) * y),u,w). [para(7916(a,1),18375(a,1,1,2))]. 18377 a(x \ (T(y,y * z) * z),u,w) = a(x \ (z * y),u,w). [para(4398(a,1),18376(a,1,1,2)),flip(a)]. 18378 a(x \ (y * z),u,u) = a(x \ (z * y),u,u). [hyper(65,a,17536,a(flip),b,18377,a)]. 18379 a((x * y) \ (y * (z * x)),u,u) = a(R(T(z,x * y),x,y),u,u). [para(633(a,1),18378(a,1,1)),flip(a)]. 18380 a((x * y) \ (y * (z * x)),u,u) = a(R(z,x,y),u,u). [hyper(290,a,14434,a(flip),b,18379,a),flip(a)]. 18382 a(R(x,y,z),u,u) = a(L(x,y,z),u,u). [hyper(65,a,17588,a(flip),b,18380,a),flip(a)]. 18383 a(L(T(x,y * z),y,z),u,u) = R(a(x,u,u),y,z). [hyper(65,a,14569,a(flip),b,18382,a),flip(a)]. 18384 a(L(x,y,z),u,u) = R(a(x,u,u),y,z). [hyper(65,a,14433,a(flip),b,18383,a)]. 18387 (x * y) * a(L(z,x,y),u,u) = (x * a(z,u,u)) * y. [para(18384(a,2),14006(a,1,2))]. 18388 x * (T(y,x) * a(z,u,u)) = (y * a(z,u,u)) * x. [hyper(65,a,14543,a(flip),b,18387,a)]. 18389 ((x * (y * a(z,u,u))) / y) \ ((y * a(z,u,u)) * x) = T(y,x). [para(18388(a,1),13869(a,1,2))]. 18390 x * K(x * a(y,z,z),u) = T(x,u). [hyper(13617,a,18389,a)]. 18391 K(x,y / (T(T(z,z \ 1),u) * ((1 / z) * w))) = K(x,y * (L(w,z,z) \ K(z,u))). [para(3260(a,1),17865(a,2,2,2,2))]. 18392 K(x,y / L(K(z,u) * w,z,z)) = K(x,y * (L(w,z,z) \ K(z,u))). [para(8607(a,1),18391(a,1,2,2))]. 18393 K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / (((u * z) / u) * (u \ 1))). [hyper(65,a,18125,a(flip),b,18392,a),flip(a)]. 18394 K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / ((u * z) / (u * u))). [para(792(a,1),18393(a,2,2,2))]. 18395 K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / (u * (z / (u * u)))). [para(798(a,1),18394(a,2,2,2))]. 18396 K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y * ((u * z) \ (u * u))). [hyper(290,a,15153,a(flip),b,18395,a),flip(a)]. 18397 K(x,y * (L(z / u,u,u) \ K(u,z))) != w | K(x,y / ((u \ 1) * z)) = w. [para(18396(a,2),16991(a,1))]. 18398 K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / (T((y \ 1) \ x,y) * (1 / y)),u). [para(2599(a,1),17847(a,2,1,1))]. 18399 K(x,(y * T((1 / z) * u,K(z,z \ 1))) \ w) = K(x,(y * ((z \ 1) * u)) \ w). [hyper(290,a,5014,a(flip),b,18017,a),flip(a)]. 18400 K(x,(y * ((1 / z) * u)) \ w) = K(x,(y * ((z \ 1) * u)) \ w). [hyper(17808,a,18399,a)]. 18403 K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,(y * ((y \ 1) * z)) \ u). [hyper(65,a,13876,a,b,18400,a)]. 18404 K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,L(z,y,y) \ u). [para(16696(a,1),18403(a,2,2,1))]. 18405 K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z) \ u). [hyper(65,a,14511,a(flip),b,18404,a)]. 18406 K(x,L(T(y,z),u,u) \ z) = K(x,(u \ ((u \ 1) \ z)) / y). [hyper(12936,a,18405,a),flip(a)]. 18407 K(x,y * (z \ ((z \ 1) \ u))) = K(x,L(y \ 1,z,z) \ u). [hyper(12888,a,18405,a)]. 18408 K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ (z \ T(u * z,z \ 1))). [para(789(a,1),18405(a,1,2,2,2)),flip(a)]. 18409 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y)). [hyper(12370,a,18406,a),flip(a)]. 18412 K(x,(y \ ((y \ 1) \ z)) * u) = K(x,z / L(u \ 1,y,y)). [hyper(12980,a,18409,a)]. 18413 K(x,y * (z \ ((1 / z) \ u))) = K(x,L(y \ 1,z,z) \ u). [hyper(65,a,5475,a,b,18407,a)]. 18414 K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,(z \ ((z \ 1) \ u)) * (y \ 1)). [para(4661(a,1),18407(a,1,2)),flip(a)]. 18415 K(x,y / L(((z * z) \ u) \ 1,z,z)) = K(x,(z \ (z \ y)) * u). [hyper(65,a,17352,a(flip),b,18412,a),flip(a)]. 18416 K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ T((z \ u) * z,z \ 1)). [para(2682(a,2),18408(a,2,2,2))]. 18417 K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ T((z \ u) * z,z)). [hyper(290,a,15148,a(flip),b,18416,a),flip(a)]. 18418 K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ (z * (z \ u))). [hyper(290,a,15420,a(flip),b,18417,a),flip(a)]. 18419 K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ u). [para(10(a,1),18418(a,2,2,2))]. 18420 K(x,L(y,z,z) \ L(u,z,z)) = K(x,y \ u). [hyper(65,a,17999,a(flip),b,18419,a)]. 18421 K(x,a(y,z,z) * ((L(y,z,z) \ u) * a(y,z,z))) = K(x,(y * (1 / (y \ L(y,z,z)))) \ u). [hyper(65,a,17289,a(flip),b,18261,a)]. 18422 K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / (T((y \ 1) \ x,y) * (y \ 1)),u). [hyper(290,a,5249,a(flip),b,18398,a),flip(a)]. 18423 K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / ((y \ 1) * ((y \ 1) \ x)),u). [hyper(290,a,18074,a(flip),b,18422,a),flip(a)]. 18424 K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / x,u). [para(10(a,1),18423(a,2,1,2))]. 18425 K(T(x,y) \ z,T(u,x * y)) = K(T(z,y \ 1) / x,u). [hyper(290,a,15036,a(flip),b,18424,a),flip(a)]. 18426 K(T(x,y) \ z,T(u,x * y)) = K(T(z,y * 1) / x,u). [hyper(290,a,15169,a(flip),b,18425,a),flip(a)]. 18427 K(T(x,y) \ z,T(u,x * y)) = K(T(z,y) / x,u). [para(8(a,1),18426(a,2,1,1,2))]. 18428 K(T(x,y) \ z,T(a(u,w,v5),x * y)) = a(T(z,y) / x,w,K(v5,u)). [hyper(290,a,13658,a,b,18427,a),flip(a)]. 18429 K(T(K(x,T(y,z)) / x,z) \ y,T(u,(K(x,T(y,z)) / x) * z)) = K(T(T(y,z),x) / (1 / x),u). [para(13138(a,2),18427(a,2,1))]. 18430 a(x,y,K(T(z,u) / w,v5)) = a(x,y,K(T(w,u) \ z,v5)). [para(18427(a,1),16548(a,1,3))]. 18431 a(x,y,K(T(z,u) \ w,v5)) = a(x,y,K(z * T(w,u),v5)). [hyper(65,a,16616,a(flip),b,18430,a),flip(a)]. 18432 a(x,y,K(T(z,u) * w,v5)) = a(x,y,K(z * T(w,u),v5)). [hyper(65,a,16615,a(flip),b,18431,a)]. 18433 a(T(x,y) / z,u,K(w,v5)) = a(T(z,y) \ x,u,K(w,v5)). [hyper(16568,a,18428,a),flip(a)]. 18434 a(T(x,y) / z,u,K(w,v5)) = a(T(z,y) * x,u,K(w,v5)). [hyper(290,a,16593,a(flip),b,18433,a),flip(a)]. 18435 a(T(x,y) * z,u,K(w,v5)) = a(x * T(z,y),u,K(w,v5)). [hyper(65,a,16595,a(flip),b,18434,a),flip(a)]. 18436 a(a(x,y,z) * T(u,w),y,K(z,x)) = a(a(x,y,z) * u,y,K(z,x)). [hyper(65,a,17084,a(flip),b,18435,a),flip(a)]. 18437 T(x * a(a(y,z,u) * x,z,K(u,y)),T(a(y,z,u) \ T(x,w),w)) = x. [para(18436(a,1),16601(a,1,1,2))]. 18438 T(a(x,y,z) * (u / a(x,y,z)),T(a(x,y,z) \ T(u,w),w)) = u. [para(17605(a,1),18437(a,1,1))]. 18440 K(T(K(x,T(y,z)) / x,z) \ y,T(u,K(x,T(y,z)) * (x \ z))) = K(T(T(y,z),x) / (1 / x),u). [para(17907(a,1),18429(a,1,2))]. 18441 K(T(K(x,T(y,z)) / x,z) \ y,T(u,T(x,y) \ z)) = K(T(T(y,z),x) / (1 / x),u). [para(14721(a,1),18440(a,1,2))]. 18442 K(T(K(x,T(y,z)) / x,z) \ y,T(u,T(x,y) * z)) = K(T(T(y,z),x) / (1 / x),u). [hyper(13526,a,18441,a)]. 18444 K(T(K(x,T(y,z)) / x,z) \ y,T(u,x * z)) = K(T(T(y,z),x) / (1 / x),u). [hyper(14826,a,18442,a)]. 18445 K(K(T(x,y),z) * (T(z,y) * x),T(u,z * y)) = K(T(T(x,y),z) / (1 / z),u). [hyper(17919,a,18444,a)]. 18446 K(K(x,T(y,z)) * (T(y,z) * x),T(u,y * z)) = K(T(T(x,z),y) / (1 / y),u). [para(7162(a,1),18445(a,1,1,1))]. 18447 K(T(T(x,y),z) / (1 / z),u) = K(x * T(z,y),T(u,z * y)). [para(4401(a,1),18446(a,1,1)),flip(a)]. 18448 K(x * T(y,z),T(u,y * z)) = K(T(T(x,z),y) * y,u). [hyper(13011,a,18447,a),flip(a)]. 18449 K(x * T(y,z),T(u,y * z)) = K(y * T(x,z),u). [hyper(290,a,11036,a(flip),b,18448,a),flip(a)]. 18450 K((x * y) * R(z,y,x),u) = K(x * T(z * y,y),u). [hyper(11047,a,18449,a)]. 18451 K((x * y) * R(z,y,x),u) = K(x * (y * z),u). [hyper(290,a,16228,a(flip),b,18450,a),flip(a)]. 18452 K(x,(y * z) * R(u,z,y)) = (w * K(y * (z * u),x)) \ w. [para(18451(a,1),6732(a,1,1,2)),flip(a)]. 18453 K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). [hyper(290,a,15942,a(flip),b,18452,a),flip(a)]. 18454 K(x,(y * z) * R(u,y,T(z,y))) = K(x,T(z,y) * (y * u)). [hyper(16235,a,18453,a)]. 18455 K(x,(y * z) * R(T(u,y * z),z,y)) = K(x,L(u,z,y) * (y * z)). [para(624(a,1),18453(a,2,2))]. 18456 K(x,(y * z) * R(u,y,z)) = K(x,T(z,y) * (y * u)). [para(10829(a,1),18454(a,1,2,2))]. 18457 K(x,R(y,z,u) * (u * z)) = K(x,L(y,z,u) * (u * z)). [para(227(a,1),18455(a,1,2))]. 18458 K(x,L(y,z,u) * (u * z)) = K(x,(y * z) * T(u,z)). [para(10834(a,1),18457(a,1,2)),flip(a)]. 18459 K(x,L(y,z \ u,1 / z) * ((z * z) \ u)) = K(x,(y * (z \ u)) * T(1 / z,z \ u)). [para(664(a,1),18458(a,1,2,2))]. 18460 K(x,L(y,z,u) * (T(u,z) * z)) = K(x,(y * z) * T(T(u,z),z)). [para(10919(a,1),18458(a,1,2,1))]. 18461 K(x,L(y,z,u) * (T(u,z) * z)) = K(x,(y * z) * u). [hyper(290,a,16075,a(flip),b,18460,a),flip(a)]. 18463 K(x,L(y,z,u) * (z * u)) = K(x,(y * z) * u). [hyper(65,a,16211,a(flip),b,18461,a)]. 18464 K(x,L(y,z / u,u \ 1) * (z / (u * u))) = K(x,(y * (z / u)) * (u \ 1)). [para(792(a,1),18463(a,1,2,2))]. 18465 K(x,L(y,z / u,u) * (z / (u * u))) = K(x,(y * (z / u)) * (u \ 1)). [para(1846(a,1),18464(a,1,2,1))]. 18466 K(x,L(y,z \ u,z) * (u / (z * z))) = K(x,(y * (u / z)) * (z \ 1)). [para(10923(a,1),18465(a,1,2,1))]. 18467 K(x,L(y,z \ u,z) * ((z * z) \ u)) = K(x,(y * (u / z)) * (z \ 1)). [hyper(65,a,15123,a(flip),b,18466,a)]. 18468 K(x,L(y,z \ u,z) * ((z * z) \ u)) = K(x,(y * (u / z)) / z). [hyper(290,a,12973,a(flip),b,18467,a),flip(a)]. 18469 K(x,L(y,z \ u,z) * ((z * z) \ u)) = K(x,(y * (z \ u)) * T(1 / z,z \ u)). [para(1844(a,1),18459(a,1,2,1))]. 18470 K(x,(y * (z \ u)) * T(1 / z,z \ u)) = K(x,(y * (u / z)) / z). [hyper(65,a,18468,a(flip),b,18469,a),flip(a)]. 18471 K(x,(y * (z \ u)) * T(z \ 1,u * z)) = K(x,(y * (u / z)) / z). [para(16783(a,1),18470(a,1,2,2))]. 18472 K(x,(y * (z \ u)) / T(z,u * z)) = K(x,(y * (u / z)) / z). [hyper(65,a,18290,a(flip),b,18471,a)]. 18473 K(x,(y * (z \ u)) / T(z,z * u)) = K(x,(y * (u / z)) / z). [para(3657(a,1),18472(a,1,2,2))]. 18474 K(x,(y * (z \ u)) / T(z,u)) = K(x,(y * (u / z)) / z). [hyper(65,a,15192,a(flip),b,18473,a)]. 18475 K(x,L(y / ((z \ u) \ z),z,z * u)) = K(x,(y * (u / z)) / z). [hyper(17033,a,18474,a)]. 18476 K(x,L(T(y,T(z,u)) \ w,w,z * (K(u,z) * y))) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). [para(5101(a,1),18312(a,1,2,3))]. 18477 K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,(z \ ((z \ 1) \ u)) / y). [hyper(290,a,12973,a(flip),b,18414,a),flip(a)]. 18478 K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,u / L(y,z,z)). [hyper(290,a,18409,a(flip),b,18477,a),flip(a)]. 18479 K(x,L((y \ K(z,y \ 1)) \ 1,u,u) \ z) = K(x,z / L(y,u,u)). [para(12870(a,1),18478(a,1,2,1,1,1,2))]. 18480 K(x,L(((y * (z \ 1)) / y) \ 1,u,u) \ y) = K(x,y / L(z,u,u)). [para(4469(a,1),18479(a,1,2,1,1,1))]. 18482 K(x,L((y \ 1) \ K(y \ 1,z),u,u) \ z) = K(x,z / L(y,u,u)). [para(4574(a,1),18480(a,1,2,1,1))]. 18483 K(x,L((y * y) * (y \ K(y \ 1,z)),u,u) \ z) = K(x,z / L(y,u,u)). [para(805(a,2),18482(a,1,2,1,1))]. 18484 K(x,L((y * y) * T(y \ 1,z),u,u) \ z) = K(x,z / L(y,u,u)). [para(4418(a,1),18483(a,1,2,1,1,2))]. 18485 K(x,L(y * (y * T(1 / y,z)),u,u) \ z) = K(x,z / L(y,u,u)). [para(2582(a,1),18484(a,1,2,1,1))]. 18486 K(x,L(T(1 / y,z),u,u) \ (y \ (y \ z))) = K(x,z / L(y,u,u)). [hyper(65,a,14517,a(flip),b,18485,a)]. 18487 K(x,L(T(y \ 1,z),u,u) \ (y \ (y \ z))) = K(x,z / L(y,u,u)). [hyper(65,a,6948,a(flip),b,18486,a)]. 18488 K(x,L(T(y,T(z,u)) \ w,w,T(z,u) * y)) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). [para(16845(a,1),18476(a,1,2))]. 18489 K(x,(y * K(z,y)) \ ((u \ (y * K(z,y))) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). [hyper(65,a,18309,a(flip),b,18488,a),flip(a)]. 18490 K(x,(y * K(z,y)) \ (((u \ y) * K(z,y)) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). [para(16829(a,1),18489(a,1,2,2,1))]. 18491 K(x,K(y,z) * (y \ (((u \ y) * K(z,y)) * w))) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). [hyper(17891,a,18490,a)]. 18492 K(x,T(y,z) \ (((u \ y) * K(z,y)) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). [hyper(17776,a,18491,a)]. 18493 K(x,K(y,z) * (T(y,z) \ ((u \ y) * w))) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). [hyper(17887,a,18492,a)]. 18494 K(x,T(y,z) \ ((u \ T(y,z)) * w)) = K(x,y \ ((u \ y) * w)). [para(4726(a,1),18493(a,1,2)),flip(a)]. 18496 K(x,T(T(y,y / T(z,u * z)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(17896(a,1),18137(a,1,2,1,1,1))]. 18497 K(x,T(T(y,y / T(z,z * u)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(3657(a,1),18496(a,1,2,1,1,1,2,2))]. 18498 K(x,T(T(y,T(z,z * u) \ y) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(3485(a,1),18497(a,1,2,1,1,1))]. 18499 K(x,T(T(y,T(z,u) \ y) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). [para(15028(a,1),18498(a,1,2,1,1,1))]. 18500 K(x,(T(y \ 1,z * y) * T(u,T(y,z) \ u)) \ w) = K(x,(u * T(y \ 1,z)) \ w). [hyper(14703,a,18499,a)]. 18501 K(x,L(a(y,y,z) \ u,1 / z,1 / L(z,y,y))) = K(x,(1 / z) \ (((1 / z) \ a(y,y,z)) \ u)). [para(13063(a,1),18145(a,1,2,1,1))]. 18502 K(x,L(a(y,y,z) \ u,1 / z,L(z,y,y))) = K(x,(1 / z) \ (((1 / z) \ a(y,y,z)) \ u)). [para(1844(a,1),18501(a,1,2))]. 18504 K(x,L(a(y,y,z) \ u,z,L(z,y,y))) = K(x,(1 / z) \ (((1 / z) \ a(y,y,z)) \ u)). [para(16684(a,1),18502(a,1,2))]. 18505 K(x,(1 / y) \ (((1 / y) \ a(z,z,y)) \ u)) = K(x,a(z,z,y) \ u). [hyper(13741,a,18504,a),flip(a)]. 18506 K(x,y * (((1 / y) \ a(z,z,y)) \ u)) = K(x,a(z,z,y) \ u). [hyper(12840,a,18505,a)]. 18508 K(x,y \ ((y \ a(z,z,y)) \ u)) = K(x,a(z,z,y) \ u). [hyper(65,a,18156,a(flip),b,18506,a)]. 18509 K(x,y \ ((y \ a(z,z,y)) \ u)) = K(x,a(y,z,z) * u). [hyper(290,a,17290,a(flip),b,18508,a),flip(a)]. 18510 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(L(w,y,K(z,x)),a(x,y,z) \ v5). [hyper(290,a,16381,a(flip),b,17585,a),flip(a)]. 18512 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(w,a(x,y,z) \ v5). [hyper(290,a,15755,a(flip),b,18510,a),flip(a)]. 18514 K(x,a(y,z,u) \ w) != v5 | K(x,w / T(a(y,z,u),v6)) = v5. [para(18512(a,1),6099(a,1))]. 18516 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),T(a(x,y,z),u) * v5) = K(L(w,y,K(z,x)),v5 * a(x,y,z)). [hyper(290,a,16368,a(flip),b,17586,a),flip(a)]. 18518 K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),T(a(x,y,z),u) * v5) = K(w,v5 * a(x,y,z)). [hyper(290,a,15755,a(flip),b,18516,a),flip(a)]. 18519 K(x,T(a(y,z,u),w) * v5) = K(x,v5 * a(y,z,u)). [hyper(6099,a,18518,a)]. 18522 T(a(x,y,z) \ u,(a(x,y,z) \ u) * a(x,y,z)) = L(u / a(x,y,z),a(x,y,z),u / a(x,y,z)). [para(17500(a,1),17582(a,1,1))]. 18523 L(x / a(y,z,u),a(y,z,u),x / a(y,z,u)) = T(a(y,z,u) \ x,T(x,a(y,z,u))). [hyper(11007,a,18522,a),flip(a)]. 18524 L(x / a(y,z,u),a(y,z,u),x / a(y,z,u)) != w | T(a(y,z,u) \ x,x) = w. [para(18523(a,2),15787(a,1))]. 18525 T(a(x,y,z) \ u,u) = u / a(x,y,z). [hyper(18524,a,12768,a)]. 18526 T(x * K(x \ (a(y,z,u) \ x),x),a(y,z,u) \ x) = (a(y,z,u) \ x) / ((x / a(y,z,u)) / x). [para(18525(a,1),7049(a,2,2,1))]. 18527 ((a(x,y,z) \ u) / ((u / a(x,y,z)) / u)) \ T(u,a(x,y,z) \ u) = K(u,u \ (a(x,y,z) \ u)). [para(18525(a,1),13121(a,1,1,2,1))]. 18528 T(x * K(a(y,z,u) \ 1,x),a(y,z,u) \ x) = (a(y,z,u) \ x) / ((x / a(y,z,u)) / x). [para(5206(a,1),18526(a,1,1,2))]. 18529 (a(x,y,z) \ u) / ((u / a(x,y,z)) / u) = L(u,a(x,y,z),u). [hyper(65,a,16688,a(flip),b,18528,a),flip(a)]. 18530 (a(x,y,z) \ u) / ((u / a(x,y,z)) / u) = u. [hyper(290,a,12768,a(flip),b,18529,a),flip(a)]. 18532 K(x,x \ (a(y,z,u) \ x)) = x \ T(x,a(y,z,u) \ x). [para(18530(a,1),18527(a,1,1)),flip(a)]. 18533 K(x,x \ (a(y,z,u) \ x)) = K(x,a(y,z,u) \ x). [hyper(290,a,4412,a,b,18532,a),flip(a)]. 18534 K(x,a(y,z,u) \ 1) = K(x,a(y,z,u) \ x). [hyper(5360,a,18533,a)]. 18535 K(x,a(y,z,u) \ x) = a(y,z,K(x,u)). [hyper(65,a,17602,a(flip),b,18534,a),flip(a)]. 18536 a(x,y,K(z,a(x,y,z) * u)) = a(x,y,K(u,z)). [hyper(65,a,17093,a(flip),b,18535,a)]. 18537 a(x,y,z) * (u / a(x,y,z)) = u * a(x,y,K(u,z)). [para(18536(a,1),17581(a,1,2)),flip(a)]. 18538 a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(z,x)). [hyper(290,a,17528,a(flip),b,18537,a),flip(a)]. 18539 T(L(x,y,K(z,u)),T(a(u,y,z) \ T(x,w),w)) = x. [para(18538(a,1),18438(a,1,1))]. 18540 L(T(x,T(a(y,z,u) \ T(x,w),w)),z,K(u,y)) = x. [hyper(65,a,25,a,b,18539,a)]. 18541 L(T(x,T(a(y,z,u) \ x,w)),z,K(u,y)) = x. [para(13130(a,1),18540(a,1,1))]. 18543 L(T(x,a(y,z,u) \ 1),z,K(u,y)) = x. [para(18190(a,1),18541(a,1,1))]. 18544 T(x,a(y,z,u) \ 1) = L(x,z,K(u,y)). [hyper(17557,a,18543,a),flip(a)]. 18545 T(x,a(y,z,u) \ (a(y,z,u) \ 1)) = x. [hyper(65,a,17618,a(flip),b,18543,a)]. 18546 T(x,a(y,z,u) \ (a(y,z,u) \ w)) = T(x,w). [hyper(13249,a,18545,a)]. 18548 T(a(x,y,z) \ (a(x,y,z) \ 1),u) = a(x,y,z) \ (a(x,y,z) \ 1). [hyper(56,a,18545,a)]. 18549 K(x,a(y,z,u) \ (a(y,z,u) \ w)) = x \ T(x,w). [hyper(120,a,18546,a(flip),b,4471,a(flip)),flip(a)]. 18550 T(x,a(y,z,u) \ w) = T(x,a(y,z,u) * w). [para(9(a,1),18546(a,1,2,2))]. 18551 T(x,y * (L(y,z,z) \ u)) = T(x,a(y,z,z) * u). [hyper(65,a,18208,a,b,18550,a)]. 18552 K(x,a(y,z,u) \ (a(y,z,u) \ w)) = K(x,w). [hyper(290,a,4412,a,b,18549,a),flip(a)]. 18553 K(x,((a(y,z,u) * a(y,z,u)) * w) \ v5) = K(x,w \ v5). [hyper(65,a,15146,a,b,18552,a)]. 18554 T(x,a(y,z,z) * u) = T(x,u * a(z,z,y)). [hyper(65,a,17215,a(flip),b,18551,a),flip(a)]. 18555 x / T(x,y * a(z,z,u)) = K(a(u,z,z) * y,x). [para(18554(a,1),4408(a,2,2)),flip(a)]. 18556 K(a(x,y,y) * z,u) = K(z * a(y,y,x),u). [hyper(4510,a,18555,a),flip(a)]. 18557 a(x,y,y) * (z * K(z * a(y,y,x),u)) = T(a(x,y,y) * z,u). [para(18556(a,1),12879(a,1,2,2))]. 18558 T(x * K(x * a(y,z,z),u),a(y,z,z)) = T(x,a(y,z,z)) * K(x * a(z,z,y),u). [para(18556(a,1),13558(a,2,2))]. 18559 K(x,y \ ((a(z,u,w) * a(z,u,w)) \ v5)) = K(x,y \ v5). [para(404(a,1),18553(a,1,2))]. 18560 T(x * K(x * a(y,z,z),u),a(y,z,z)) = L(x,z,K(z,y)) * K(x * a(z,z,y),u). [para(17491(a,2),18558(a,2,1))]. 18561 T(x * K(x * a(y,z,z),u),a(y,z,z)) = x * K(x * a(z,z,y),u). [para(3385(a,1),18560(a,2,1))]. 18562 L(x * K(x * a(y,z,z),u),z,K(z,y)) = x * K(x * a(z,z,y),u). [hyper(17493,a,18561,a)]. 18563 x * K(x * a(y,z,z),u) = x * K(x * a(z,z,y),u). [hyper(3388,a,18562,a)]. 18565 x * K(x * a(y,y,z),u) = T(x,u). [hyper(65,a,18390,a(flip),b,18563,a),flip(a)]. 18567 T(a(x,y,y) * z,u) = a(x,y,y) * T(z,u). [para(18565(a,1),18557(a,1,2)),flip(a)]. 18568 (x * a(y,z,z)) / T(a(y,z,z) * x,u) = K(u,x). [para(18567(a,2),13069(a,1,2))]. 18570 K(x,a(y,z,z)) * K(u,a(y,z,z) * x) = K(u,x). [hyper(6852,a,18568,a)]. 18571 a(x,y,K(y,z)) * K(u,a(z,y,y) * x) = K(u,x). [para(13658(a,2),18570(a,1,1))]. 18572 1 * K(x,a(y,z,z) * u) = K(x,u). [para(5785(a,1),18571(a,1,1))]. 18573 K(x,a(y,z,z) * u) = K(x,u). [hyper(122,a,18572,a)]. 18575 K(x,y * a(z,u,u)) = K(x,y). [para(13066(a,1),18573(a,1,2))]. 18577 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,T(z,y))) \ w). [para(7607(a,1),17944(a,2,2,1,2))]. 18578 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,z)) \ w). [hyper(290,a,15907,a(flip),b,18577,a),flip(a)]. 18580 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((((y * z) / y) \ 1) * T(u,z)) \ w). [hyper(290,a,5030,a(flip),b,18578,a),flip(a)]. 18581 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((T(z,y) \ 1) * T(u,z)) \ w). [hyper(290,a,18027,a(flip),b,18580,a),flip(a)]. 18582 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,(u * (T(z,y) \ 1)) \ w). [hyper(290,a,15951,a(flip),b,18581,a),flip(a)]. 18583 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / T((y * z) / y,u)) * u) \ w). [para(4415(a,1),17945(a,2,2,1,1))]. 18584 K(x,((T((y * z) / y,u) \ 1) * u) \ w) = K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w). [hyper(290,a,5030,a(flip),b,18583,a)]. 18585 K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,(u * (((y * z) / y) \ 1)) \ w). [hyper(17947,a,18584,a),flip(a)]. 18587 K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,(y * (T(u,z) \ 1)) \ w). [hyper(65,a,18582,a(flip),b,18585,a),flip(a)]. 18588 K(x,(y * T(z,u)) \ ((((u * z) / u) * ((u * z) / u)) * w)) = K(x,(y * (((u * z) / u) \ 1)) \ w). [para(694(a,1),18585(a,1,2))]. 18589 K(x,((y * z) / y) * (((y * z) / y) * ((u * T(z,y)) \ w))) = K(x,(u * (((y * z) / y) \ 1)) \ w). [hyper(65,a,15203,a(flip),b,18588,a)]. 18590 K(x,((y * z) / y) * (T(z,y) * ((u * T(z,y)) \ w))) = K(x,(u * (((y * z) / y) \ 1)) \ w). [hyper(65,a,16309,a(flip),b,18589,a)]. 18591 K(x,T(y,z) * (T(y,z) * ((u * T(y,z)) \ w))) = K(x,(u * (((z * y) / z) \ 1)) \ w). [hyper(16116,a,18590,a)]. 18592 K(x,y * (T(T(y,z),z) * ((u * T(y,z)) \ w))) = K(x,(u * (((z * y) / z) \ 1)) \ w). [para(5232(a,1),18591(a,1,2))]. 18593 K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,u * (u * ((y * T(u,z)) \ w))). [hyper(65,a,16311,a(flip),b,18592,a),flip(a)]. 18595 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) * ((x \ 1) * y),x \ 1). [para(13290(a,1),16929(a,2,2))]. 18596 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(x \ ((x \ 1) * y),x \ 1). [para(6970(a,1),18595(a,2,2))]. 18597 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x * x) \ y,x \ 1). [para(712(a,1),18596(a,2,2,1))]. 18598 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(x \ (x \ y),x \ 1). [para(12797(a,1),18597(a,2,2))]. 18599 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(y * (x * x),x \ 1). [para(17184(a,1),18598(a,2,2))]. 18600 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(1 / x,T(y * (x * x),x)). [hyper(290,a,7246,a(flip),b,18599,a),flip(a)]. 18601 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(1 / x,x * (y * x)). [para(15065(a,1),18600(a,2,2))]. 18602 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,x \ (y * x)). [para(13233(a,1),18601(a,2,2))]. 18603 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,T(y,x)). [para(22(a,2),18602(a,2,2,2))]. 18604 (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,y). [para(7918(a,1),18603(a,2,2))]. 18605 K(x,y \ (T(z / (1 / u),T(u \ 1,u \ z)) * w)) = K(x,y \ ((z / T(u \ 1,z)) * w)). [para(18604(a,1),18224(a,1,2,2,1)),flip(a)]. 18606 K(x,y \ (T(z / (1 / u),T(u \ 1,u \ z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). [hyper(290,a,17294,a(flip),b,18605,a),flip(a)]. 18607 K(x,y \ (T(z / (1 / u),T(u \ 1,u * z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). [para(13601(a,1),18606(a,1,2,2,1))]. 18608 K(x,y \ (T(z / (1 / u),T(u \ 1,z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). [para(8335(a,1),18607(a,1,2,2,1))]. 18609 K(x,y \ (T((1 / z) \ u,K(1,z)) * w)) = K(x,y \ (((z \ 1) \ u) * w)). [para(16002(a,1),18608(a,1,2,2,1))]. 18610 K(x,y \ (((1 / z) \ u) * w)) = K(x,y \ (((z \ 1) \ u) * w)). [hyper(17820,a,18609,a)]. 18611 K(x,y \ (((z \ 1) \ L(u,z,z)) * w)) = K(x,y \ ((z * u) * w)). [para(671(a,1),18610(a,1,2,2,1)),flip(a)]. 18612 K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((((1 / z) \ 1) \ T(u,1 / z)) * w)). [para(16949(a,1),18610(a,1,2,2,1)),flip(a)]. 18613 K(x,y \ ((((z \ 1) \ 1) * u) * w)) = K(x,y \ ((z * u) * w)). [para(4284(a,1),18611(a,1,2,2,1))]. 18614 K(x,y \ (((z \ u) \ z) * w)) = K(x,y \ (((u \ z) * z) * w)). [hyper(18241,a,18613,a)]. 18615 K(x,y \ (((z \ u) * u) * T(w,(u \ z) \ u))) = K(x,y \ (w * ((u \ z) \ u))). [para(104(a,1),18614(a,1,2,2)),flip(a)]. 18616 K(x,y \ (((z \ u) * u) * T(w,u * (u / z)))) = K(x,y \ (w * ((u \ z) \ u))). [para(15246(a,1),18615(a,1,2,2,2))]. 18617 K(x,y \ (z * ((u \ w) \ u))) = K(x,y \ (z * ((w \ u) * u))). [para(12348(a,1),18616(a,1,2,2)),flip(a)]. 18618 K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((z \ T(u,1 / z)) * w)). [para(81(a,1),18612(a,2,2,2,1,1))]. 18619 K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). [para(2635(a,1),18618(a,2,2,2,1,2))]. 18620 K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((u / z) * w)). [hyper(290,a,18239,a(flip),b,18619,a),flip(a)]. 18621 K(x,y \ (((z \ 1) \ T((z \ (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((u / z) * w)). [para(413(a,1),18620(a,1,2,2,1,2,1,1))]. 18622 K(x,y \ (((z \ 1) \ T((z \ 1) * (z \ u),1 / z)) * w)) = K(x,y \ ((u / z) * w)). [para(2320(a,1),18621(a,1,2,2,1,2,1))]. 18623 K(x,y \ (((z \ 1) \ T((z \ 1) * (z \ u),z \ 1)) * w)) = K(x,y \ ((u / z) * w)). [para(2635(a,1),18622(a,1,2,2,1,2))]. 18624 K(x,y \ (((z \ 1) \ (z \ (u * (z \ 1)))) * w)) = K(x,y \ ((u / z) * w)). [para(2359(a,1),18623(a,1,2,2,1,2))]. 18625 K(x,y \ ((z \ ((1 / z) \ (u * (z \ 1)))) * w)) = K(x,y \ ((u / z) * w)). [para(2309(a,1),18624(a,1,2,2,1))]. 18626 K(x,y \ ((z \ ((z \ 1) \ (u * (1 / z)))) * w)) = K(x,y \ ((u / z) * w)). [para(10315(a,1),18625(a,1,2,2,1,2))]. 18627 K(x,y \ (T(T(z,u) / u,u \ 1) * w)) = K(x,y \ ((z / u) * w)). [para(10321(a,1),18626(a,1,2,2,1))]. 18628 K(x,y \ (T(T(z,u) / u,u * 1) * w)) = K(x,y \ ((z / u) * w)). [hyper(65,a,17963,a(flip),b,18627,a)]. 18629 K(x,y \ (T(T(z,u) / u,u) * w)) = K(x,y \ ((z / u) * w)). [para(8(a,1),18628(a,1,2,2,1,2))]. 18630 K(x,y \ ((z \ T(u,z)) * w)) = K(x,y \ ((u / z) * w)). [para(106(a,1),18629(a,1,2,2,1))]. 18631 K(x,y \ ((T(z,u) \ u) * w)) = K(x,y \ ((u / z) * w)). [para(3604(a,2),18630(a,1,2,2,1))]. 18632 K(x,T(a(y,z,u) \ 1,w) \ (T(a(y,z,u) \ (a(y,z,u) \ 1),w) * v5)) = K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)). [para(15502(a,1),18284(a,1,2,2,1))]. 18633 K(x,T(a(y,z,u) \ 1,w) \ ((a(y,z,u) \ (a(y,z,u) \ 1)) * v5)) = K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)). [para(18548(a,1),18632(a,1,2,2,1))]. 18634 K(x,T(a(y,z,u) \ 1,w) \ ((a(y,z,u) * a(y,z,u)) \ v5)) = K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)). [para(723(a,1),18633(a,1,2,2))]. 18636 K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)) = K(x,T(a(y,z,u) \ 1,w) \ v5). [hyper(65,a,18559,a(flip),b,18634,a),flip(a)]. 18638 K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)) = K(x,T(a(y,z,u),w) * v5). [hyper(290,a,17953,a(flip),b,18636,a),flip(a)]. 18639 K(x,(T(a(y,z,u),w) * 1) \ (1 * v5)) = K(x,v5 * a(y,z,u)). [hyper(290,a,18519,a(flip),b,18638,a),flip(a)]. 18641 K(x,T(a(y,z,u),w) \ (1 * v5)) = K(x,v5 * a(y,z,u)). [para(8(a,1),18639(a,1,2,1))]. 18642 K(x,T(a(y,z,u),w) \ v5) = K(x,v5 * a(y,z,u)). [para(7(a,1),18641(a,1,2,2))]. 18643 K(x,a(y,z,u) \ w) = K(x,w * a(y,z,u)). [hyper(14650,a,18642,a)]. 18644 K(x,y / T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). [hyper(18514,a,18643,a)]. 18645 K(x,L(L(y,z,z) \ u,a(y,z,z),y)) = K(x,(y \ u) * a(y,z,z)). [hyper(65,a,18297,a,b,18643,a)]. 18646 K(x,T(a(y,z,K(u,w)) * v5,a(y,z,w) \ 1)) = K(x,((a(y,z,w) \ 1) \ v5) * a(y,z,w)). [hyper(65,a,18291,a(flip),b,18644,a)]. 18647 K(x,(y \ z) * a(y,u,u)) = K(x,L(y,u,u) \ z). [hyper(17118,a,18645,a),flip(a)]. 18649 K(x,T(a(y,z,K(u,w)) * v5,a(y,z,w) \ 1)) = K(x,a(y,z,w) * (v5 * a(y,z,w))). [hyper(290,a,12894,a(flip),b,18646,a),flip(a)]. 18650 K(x,L(a(y,z,K(u,w)) * v5,z,K(w,y))) = K(x,a(y,z,w) * (v5 * a(y,z,w))). [para(18544(a,1),18649(a,1,2))]. 18651 K(x,a(y,z,K(u,w)) * v5) = K(x,a(y,z,w) * (v5 * a(y,z,w))). [hyper(17510,a,18650,a)]. 18653 K(x,a(y,z,u) * (w * a(y,z,u))) = K(x,w). [hyper(65,a,16362,a(flip),b,18651,a),flip(a)]. 18655 K(x,(y * (1 / (y \ L(y,z,z)))) \ u) = K(x,L(y,z,z) \ u). [hyper(65,a,18421,a(flip),b,18653,a)]. 18657 K(x,(y * (L(y,z,z) \ y)) \ u) = K(x,L(y,z,z) \ u). [para(9552(a,1),18655(a,1,2,1,2))]. 18658 K(x,(y * a(z,z,y)) \ u) = K(x,L(y,z,z) \ u). [para(2221(a,1),18657(a,1,2,1,2))]. 18659 K(x,L(y \ 1,z,z) * u) = K(x,L(y,z,z) \ u). [hyper(65,a,16517,a(flip),b,18658,a)]. 18660 K(x,L(y \ 1,z,z) \ u) = K(x,T(L(y,z,z),1) * u). [hyper(12353,a,18659,a),flip(a)]. 18661 K(x,L(y \ 1,z,z) \ u) = K(x,L(y,z,z) * u). [para(191(a,1),18660(a,2,2,1))]. 18662 K(x,L(y,z,z) * T(u,y \ 1)) = K(x,u / L(y \ 1,z,z)). [hyper(17568,a,18661,a),flip(a)]. 18663 K(x,y * (z \ ((1 / z) \ u))) = K(x,L(y,z,z) * u). [hyper(65,a,18413,a,b,18661,a)]. 18664 K(x,L((y * (z \ 1)) / y,u,u) * y) = K(x,y / L(z,u,u)). [hyper(65,a,18480,a(flip),b,18661,a),flip(a)]. 18665 K(x,L(L(1 / y,z,y),u,u) * w) = K(x,L(R(y,z,y),u,u) \ w). [para(10215(a,1),18661(a,1,2,1,1)),flip(a)]. 18666 K(x,L(y,z,z) * T(u,y * 1)) = K(x,u / L(y \ 1,z,z)). [hyper(15115,a,18662,a)]. 18667 K(x,y * L(z \ 1,u,u)) = K(x,y / L(z,u,u)). [para(629(a,1),18664(a,1,2))]. 18668 K(x,y / L(z \ 1,u,u)) = K(x,L(z,u,u) * T(y,z)). [para(8(a,1),18666(a,1,2,2,2)),flip(a)]. 18669 K(x,y / L(z \ 1,u,u)) = K(x,y * L(z,u,u)). [para(12812(a,1),18668(a,2,2))]. 18670 K(x,y * L((z * z) \ u,z,z)) = K(x,(z \ (z \ y)) * u). [hyper(65,a,18415,a(flip),b,18669,a),flip(a)]. 18671 K(x,y * (z * a(u,u,z))) = K(x,y * L(z,u,u)). [hyper(65,a,17027,a(flip),b,18669,a)]. 18672 K(x,y / L(z * K(u,w),v5,v5)) = K(x,y * L(K(w,u) / z,v5,v5)). [para(12900(a,1),18669(a,1,2,2,1))]. 18673 K(x,y * L(L(z \ u,z,z),z,z)) = K(x,(z \ (z \ y)) * (z * u)). [para(96(a,2),18670(a,1,2,2,1))]. 18675 K(x,L(L(1 / y,z,y),u,u) * w) = K(x,L(y,u,u) \ w). [hyper(290,a,12308,a(flip),b,18665,a),flip(a)]. 18677 K(x,y / L(z * K(u,w),v5,v5)) = K(x,y * L(z \ K(w,u),v5,v5)). [hyper(290,a,17613,a(flip),b,18672,a),flip(a)]. 18678 K(x,y * L((1 / z) * u,z,z)) = K(x,(z \ (z \ y)) * (z * u)). [para(663(a,1),18673(a,1,2,2,1))]. 18679 K(x,y * L((z \ 1) * u,z,z)) = K(x,(z \ (z \ y)) * (z * u)). [hyper(65,a,17076,a(flip),b,18678,a)]. 18680 K(x,y * L(z \ K(u,w),w,w)) = K(x,y * (L(z,w,w) \ K(w,u))). [hyper(65,a,18349,a(flip),b,18677,a),flip(a)]. 18681 K(x,y * L((z / u) \ K(z,u),u,u)) = K(x,y / ((u \ 1) * z)). [hyper(18397,a,18680,a(flip)),flip(a)]. 18682 K(x,T(y,L((z / u) \ K(z,u),u,u)) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). [hyper(11060,a,18681,a),flip(a)]. 18686 K(x,T(y,(z / u) \ K(z,u)) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). [hyper(17593,a,18682,a)]. 18688 K(x,T(y,z * (u \ K(u,z))) / ((z \ 1) * u)) = K(x,L((u / z) \ K(u,z),z,z) * y). [para(17791(a,1),18686(a,1,2,1))]. 18689 K(x,T(y,z / T(u,z)) / ((z \ 1) * u)) = K(x,L((u / z) \ K(u,z),z,z) * y). [para(17895(a,1),18688(a,1,2,1))]. 18690 K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,T(u,y \ z) / ((z \ 1) * y)). [para(12287(a,1),18689(a,1,2,1)),flip(a)]. 18691 K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,T(u,y * z) / ((z \ 1) * y)). [hyper(290,a,18054,a(flip),b,18690,a),flip(a)]. 18692 K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,((z \ 1) * y) \ u). [hyper(290,a,17016,a(flip),b,18691,a),flip(a)]. 18693 (x \ L(x,y,z)) * K(u,L(w,T(x,x \ 1),K(x,x \ 1) * L(x,y,z))) = L(x \ 1,y,z) * (T(x,x \ 1) * K(u,w)). [para(1898(a,1),16612(a,1,2,2,3))]. 18694 (x \ L(x,y,z)) * K(u,L(w,T(x,x \ 1),L(x,y,z))) = L(x \ 1,y,z) * (T(x,x \ 1) * K(u,w)). [para(2837(a,1),18693(a,1,2,2))]. 18696 L(x \ 1,y,z) * (T(x,x \ 1) * K(u,w)) = (x \ L(x,y,z)) * K(u,L(w,x,L(x,y,z))). [para(4277(a,1),18694(a,1,2,2)),flip(a)]. 18697 L(x \ 1,y,z) * (T(x,x \ 1) * K(u,w)) = (x \ L(x,y,z)) * K(u,w). [para(13740(a,1),18696(a,2,2))]. 18699 L(x \ 1,y,z) * ((x \ 1) \ K(u,w)) = (x \ L(x,y,z)) * K(u,w). [para(12816(a,1),18697(a,1,2))]. 18701 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [hyper(65,a,6233,a(flip),b,18699,a),flip(a)]. 18702 ((x \ L(x,y,y)) \ 1) \ K(z,u) = L(x,y,y) * (x \ K(z,u)). [hyper(65,a,13075,a,b,18701,a)]. 18703 (L(x,y,y) \ x) \ K(z,u) = L(x,y,y) * (x \ K(z,u)). [para(6317(a,1),18702(a,1,1))]. 18704 L(x,y,y) * (x \ K(z,u)) = a(y,y,x) \ K(z,u). [para(2221(a,1),18703(a,1,1)),flip(a)]. 18705 K(x,T(T((y * z) * (u / (y * z)),y * z),u * L(y,z,z))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). [hyper(65,a,18041,a(flip),b,17237,a)]. 18706 K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T((z / (u * y)) * (u * y),z * L(u,y,y))). [hyper(65,a,11054,a(flip),b,18705,a),flip(a)]. 18707 K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,z * L(u,y,y))). [para(12(a,1),18706(a,2,2,1))]. 18708 K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,L(u,y,y))). [hyper(290,a,7112,a(flip),b,18707,a),flip(a)]. 18709 K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,u)). [hyper(290,a,15804,a(flip),b,18708,a),flip(a)]. 18711 K(x,(y * (z / T(u * y,z))) * R(u,y,(u * y) \ z)) = K(x,T(z,u)). [para(12684(a,1),18709(a,1,2,2))]. 18712 K(x,(y * ((z * y) \ u)) * R(z,y,(z * y) \ u)) = K(x,T(u,z)). [hyper(65,a,17281,a(flip),b,18711,a)]. 18713 K(x,T((y * z) \ u,z) * (z * y)) = K(x,T(u,y)). [hyper(65,a,18456,a(flip),b,18712,a)]. 18714 K(x,T((y * (z \ u)) \ w,z * u) * ((z \ u) * y)) = K(x,T(w,y)). [hyper(65,a,16172,a(flip),b,18713,a)]. 18715 K(x,T((a(y,z,u) * (w / a(y,z,u))) \ v5,a(y,z,u)) * (a(y,z,u) * (a(y,z,u) \ w))) = K(x,T(v5,a(y,z,u) \ w)). [para(17606(a,1),18713(a,1,2,1,1,1))]. 18716 K(x,T((y * (z \ 1)) \ u,z) * ((z \ 1) * y)) = K(x,T(u,y)). [para(8(a,1),18714(a,1,2,1,2))]. 18717 K(x,L((a(y,z,u) * (w / a(y,z,u))) \ v5,z,K(u,y)) * (a(y,z,u) * (a(y,z,u) \ w))) = K(x,T(v5,a(y,z,u) \ w)). [para(17491(a,2),18715(a,1,2,1))]. 18718 K(x,L((a(y,z,u) * (w / a(y,z,u))) \ v5,z,K(u,y)) * w) = K(x,T(v5,a(y,z,u) \ w)). [para(10(a,1),18717(a,1,2,2))]. 18719 K(x,((a(y,z,u) * (w / a(y,z,u))) \ v5) * w) = K(x,T(v5,a(y,z,u) \ w)). [hyper(65,a,17524,a(flip),b,18718,a)]. 18722 K(x,T(y * K(z,a(u,w,v5)),z)) = K(x,T(y,a(u,w,v5) \ z)). [hyper(65,a,17189,a(flip),b,18719,a)]. 18723 K(x,T(y * a(z,u,K(w,v5)),z)) = K(x,T(y,a(v5,u,w) \ z)). [para(13658(a,2),18722(a,1,2,1,2))]. 18724 K(x,T(y,a(z,u,w) \ v5)) = K(x,T(y,v5)). [hyper(65,a,17450,a(flip),b,18723,a),flip(a)]. 18725 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(13526,a,18724,a)]. 18726 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [hyper(13525,a,18724,a)]. 18728 T(K(x,y) * (a(z,z,u) \ 1),w) = (a(z,z,u) \ 1) * K(x,T(y,w)). [para(18724(a,1),14559(a,1,2)),flip(a)]. 18729 T(x,a(y,z,u)) * K(w,T(v5,x)) = T(K(w,v5) * x,a(y,z,u)). [para(18725(a,1),14469(a,1,2))]. 18730 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [para(16582(a,1),18725(a,1,2,2))]. 18731 T(K(x,y) * (z \ L(z,u,u)),w) = (z \ L(z,u,u)) * K(x,T(y,w)). [para(18726(a,1),16918(a,1,2)),flip(a)]. 18733 K(x,y) * K(y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). [para(18730(a,1),7434(a,1,2))]. 18734 L(x,y,K(z,u)) * K(w,T(v5,x)) = T(K(w,v5) * x,a(u,y,z)). [para(17491(a,2),18729(a,1,1))]. 18735 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [hyper(7630,a,18733,a),flip(a)]. 18736 K(x,K(y,z * (u \ w))) = K(x,K(y,z * (u * w))). [hyper(15919,a,18735,a)]. 18738 K(x,K(y,z * ((u \ z) * w))) = K(x,K(y,z * (u * (z \ w)))). [hyper(65,a,18330,a(flip),b,18736,a),flip(a)]. 18740 T(K(x,y) * z,a(u,w,v5)) = K(x,y) * L(z,w,K(v5,u)). [hyper(15808,a,18734,a),flip(a)]. 18741 L(K(x,y) * z,u,K(w,v5)) = K(x,y) * L(z,u,K(w,v5)). [hyper(17493,a,18740,a)]. 18742 (x \ K(y,z)) \ L(x \ K(y,z),u,K(w,v5)) = x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)). [para(18741(a,2),4348(a,2,2))]. 18743 K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,u * w)). [hyper(65,a,15964,a(flip),b,18738,a),flip(a)]. 18745 K(x,K(y,z * x)) * K(y,L(T(z,u \ x),u \ x,u)) = K(y,(u * (z * (u \ x))) / x). [para(18743(a,1),8016(a,1,1))]. 18746 T(K(x,y) * (a(z,z,u) \ 1),w) = a(z,z,u) \ K(x,T(y,w)). [hyper(290,a,12808,a(flip),b,18728,a),flip(a)]. 18748 T(a(x,x,y) \ K(z,u),w) = a(x,x,y) \ K(z,T(u,w)). [para(16367(a,1),18746(a,1,1))]. 18749 T(x,y) != a(z,z,u) \ K(w,T(v5,y)) | a(z,z,u) \ K(w,v5) = x. [para(18748(a,1),51(a,1)),flip(a)]. 18750 T(K(x,y) * (z \ L(z,u,u)),w) = L(z,u,u) * (z \ K(x,T(y,w))). [hyper(290,a,18701,a(flip),b,18731,a),flip(a)]. 18752 T(K(x,y) * (z \ L(z,u,u)),w) = a(u,u,z) \ K(x,T(y,w)). [hyper(290,a,18704,a(flip),b,18750,a),flip(a)]. 18753 K(x,y) * (z \ L(z,u,u)) = a(u,u,z) \ K(x,y). [hyper(18749,a,18752,a),flip(a)]. 18754 (K(x,y) * L(z \ L(z,u,u),w,v5)) / K(x,y) = L((a(u,u,z) \ K(x,y)) / K(x,y),w,v5). [para(18753(a,1),874(a,1,1,1)),flip(a)]. 18755 K(x,y) * L(z \ L(z,u,u),w,v5) = a(u,u,L(z,w,v5)) \ K(x,y). [para(6575(a,1),18753(a,1,2))]. 18756 K(x,K(y,z)) * K(y,L(T(z,u \ x),u \ x,u)) = K(y,(u * (z * (u \ x))) / x). [para(7731(a,1),18745(a,1,1))]. 18758 K(x,K(y,z)) * K(y,x \ (u * (z * (u \ x)))) = K(y,(u * (z * (u \ x))) / x). [para(736(a,1),18756(a,1,2,2))]. 18759 K(x,K(y,z)) * K(y,x \ (u * (z * (u \ x)))) = K(y,x \ (((x / u) * z) * u)). [hyper(290,a,18084,a(flip),b,18758,a),flip(a)]. 18760 K(x,K(y,z)) * K(y,L(T(z,u * x),x,u)) = K(y,x \ (((x / u) * z) * u)). [para(13765(a,1),18759(a,1,2))]. 18761 K(x,L(T(T(y,z),u * z),z,u)) = K(x,z \ (((z / u) * y) * u)). [hyper(16334,a,18760,a)]. 18762 K(x,(y * z) / (y * (u \ z))) = K(x,z \ (((z / y) * u) * y)). [hyper(11452,a,18761,a)]. 18763 x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)) = a(v5,u,K(w,x \ K(y,z))). [hyper(17522,a,18742,a),flip(a)]. 18764 x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)) = a(v5,u,K(w,x * K(y,z))). [hyper(290,a,13787,a(flip),b,18763,a),flip(a)]. 18765 a(x,y,K(z,u * K(w,v5))) = u \ L(u,y,K(z,x)). [para(10(a,1),18764(a,1,2,1)),flip(a)]. 18766 a(x,y,K(z,u * K(w,v5))) = a(x,y,K(z,u)). [hyper(290,a,17501,a(flip),b,18765,a),flip(a)]. 18767 a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(w,z)). [hyper(15829,a,18766,a)]. 18768 a(x,y,K(z,u * T(w,v5))) = a(u * w,y,K(z,x)). [hyper(65,a,16420,a(flip),b,18767,a),flip(a)]. 18771 L((a(x,x,y) \ K(z,u)) / K(z,u),w,v5) = (a(x,x,L(y,w,v5)) \ K(z,u)) / K(z,u). [para(18755(a,1),18754(a,1,1)),flip(a)]. 18772 L((a(x,x,y) \ K(z,u)) / K(z,u),w,v5) = a(x,x,L(y,w,v5)) \ 1. [hyper(290,a,12844,a(flip),b,18771,a),flip(a)]. 18774 L(a(x,x,y) \ 1,z,u) = a(x,x,L(y,z,u)) \ 1. [para(12844(a,1),18772(a,1,1))]. 18775 a(x,x,L(y,x,x)) = a(x,x,y). [hyper(16635,a,18774,a),flip(a)]. 18776 (x * y) * a(x,x,L(x \ y,x,x)) = (x * x) * (x \ y). [para(18775(a,2),731(a,1,2))]. 18777 (x * y) * a(x,x,(1 / x) * y) = (x * x) * (x \ y). [para(663(a,1),18776(a,1,2,3))]. 18778 (x * y) * a(x,x,x * y) = (x * x) * (x \ y). [para(2364(a,1),18777(a,1,2))]. 18779 (x * y) * a(x,x,x * y) = (x \ 1) \ y. [hyper(290,a,805,a(flip),b,18778,a),flip(a)]. 18780 K(x,y * L(z * u,z,z)) = K(x,y * ((z \ 1) \ u)). [para(18779(a,1),18671(a,1,2,2)),flip(a)]. 18781 K(x,y * ((z \ 1) \ (z \ u))) = K(x,y * L(u,z,z)). [para(10(a,1),18780(a,1,2,2,1)),flip(a)]. 18783 K(x,y * L(T(T(z,u),z \ 1) * w,T(T(z,u),z \ 1),T(T(z,u),z \ 1))) = K(x,y * ((1 / T(z,u)) \ w)). [para(7081(a,1),18780(a,2,2,2,1))]. 18784 K(x,y * (z \ ((1 / z) \ u))) = K(x,y * L(u,z,z)). [para(2309(a,1),18781(a,1,2,2))]. 18785 K(x,L(y,z,z) * u) = K(x,y * L(u,z,z)). [hyper(65,a,18663,a(flip),b,18784,a)]. 18786 K(x,y * L(z \ 1,u,u)) = K(x,L(y,u,u) / z). [hyper(12975,a,18785,a),flip(a)]. 18787 K(x,((y / z) \ K(y,z)) * L(u,z,z)) = K(x,((z \ 1) * y) \ u). [hyper(65,a,18692,a(flip),b,18785,a),flip(a)]. 18788 K(x,L(1 / y,z,y) * L(u,w,w)) = K(x,L(y,w,w) \ u). [hyper(65,a,18675,a(flip),b,18785,a),flip(a)]. 18789 K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y * z) * u). [para(16686(a,1),18785(a,1,2,1)),flip(a)]. 18790 K(x,L(y,z,z) / u) = K(x,y / L(u,z,z)). [hyper(65,a,18667,a(flip),b,18786,a),flip(a)]. 18791 K(x,(y \ z) * (y * (y * u))) = K(x,(y * z) * u). [hyper(65,a,16489,a(flip),b,18789,a)]. 18792 K(x,(y \ z) * (y * T(u,y))) = K(x,(y * z) * (u / y)). [hyper(65,a,16352,a(flip),b,18791,a)]. 18793 K(x,(y * z) * (y \ (y \ u))) = K(x,(y \ z) * u). [para(74(a,1),18791(a,1,2,2)),flip(a)]. 18794 K(x,(y \ (y \ z)) * u) = K(x,z * (y \ (y \ u))). [para(10(a,1),18793(a,1,2,1)),flip(a)]. 18795 K(x,y * L((z \ 1) * u,z,z)) = K(x,y * (z \ (z \ (z * u)))). [hyper(65,a,18679,a,b,18794,a)]. 18796 K(x,((y / z) / z) * u) = K(x,y * (z \ (z \ u))). [hyper(65,a,17256,a,b,18794,a)]. 18797 K(x,(y * z) * (z \ (z \ u))) = K(x,(y / z) * u). [para(11(a,1),18796(a,1,2,1,1)),flip(a)]. 18798 K(x,(y * (y / z)) * ((y / z) \ ((y / z) \ ((y / z) * u)))) = K(x,z * ((z \ y) * u)). [para(5377(a,1),18797(a,2,2))]. 18799 K(x,(y \ z) * (u * y)) = K(x,(y * z) * (u / y)). [para(104(a,1),18792(a,1,2,2))]. 18800 K(x,(y * (z * y)) * (u / y)) = K(x,T(z,y) * (u * y)). [para(22(a,2),18799(a,1,2,1)),flip(a)]. 18801 K(x,(T(y,y \ z) \ u) * ((z / y) * T(y,y \ z))) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). [para(1426(a,1),18799(a,2,2,2))]. 18802 K(x,L(y \ 1,z,y) * L(u,w,w)) = K(x,L(y,w,w) \ u). [hyper(12340,a,18788,a)]. 18803 K(x,L(y,z,z) \ u) = K(x,y \ L(u,z,z)). [hyper(65,a,17627,a(flip),b,18802,a),flip(a)]. 18804 K(x,(y \ z) * a(y,u,u)) = K(x,y \ L(z,u,u)). [hyper(65,a,18647,a,b,18803,a)]. 18805 K(x,y \ L(L(z,u,u),u,u)) = K(x,y \ z). [hyper(65,a,18420,a(flip),b,18803,a),flip(a)]. 18806 K(x,y \ L((z * y) * u,z,z)) = K(x,y \ (((z \ 1) \ y) * u)). [hyper(65,a,16708,a(flip),b,18803,a),flip(a)]. 18807 K(x,y \ L(z,u,u)) = K(x,y \ z). [hyper(65,a,18575,a(flip),b,18804,a),flip(a)]. 18808 K(x,y * L(z,u,u)) = K(x,(y \ 1) \ z). [hyper(12888,a,18807,a)]. 18813 K(x,y * L(z,u,u)) = K(x,y * z). [hyper(290,a,12838,a(flip),b,18808,a),flip(a)]. 18814 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [hyper(65,a,18789,a(flip),b,18813,a),flip(a)]. 18817 K(x,((1 / y) \ z) * u) = K(x,(y * z) * u). [hyper(65,a,13594,a,b,18814,a)]. 18819 K(x,K(y,z) * ((z / y) \ L(u,y,y))) = K(x,((y \ 1) * z) \ u). [hyper(17888,a,18787,a)]. 18820 K(x,y * L((z \ 1) * u,z,z)) = K(x,y * (z \ u)). [para(9(a,1),18795(a,2,2,2,2))]. 18821 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [hyper(65,a,18813,a(flip),b,18820,a)]. 18823 K(x,T((y * (z \ 1)) \ u,z) * (z \ y)) = K(x,T(u,y)). [hyper(65,a,18716,a(flip),b,18821,a),flip(a)]. 18824 K(x,y \ (((z \ 1) \ y) * u)) = K(x,y \ ((z * y) * u)). [hyper(65,a,18807,a(flip),b,18806,a),flip(a)]. 18826 K(x,(y / T(z,y)) \ L(u,z,z)) = K(x,((z \ 1) * y) \ u). [hyper(65,a,17728,a(flip),b,18819,a)]. 18827 K(x,(y \ z) \ L(u,y,y)) = K(x,((y \ 1) * z) \ u). [hyper(65,a,17874,a(flip),b,18826,a)]. 18828 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [hyper(65,a,18807,a(flip),b,18827,a),flip(a)]. 18830 K(x,(y * (y / z)) * ((y / z) \ u)) = K(x,z * ((z \ y) * u)). [para(9(a,1),18798(a,1,2,2,2))]. 18834 K(x,(T(y,y \ z) \ u) * (y * (z / y))) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). [para(3638(a,1),18801(a,1,2,2))]. 18835 K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,y \ z) \ u) * T(z,y)). [hyper(65,a,16220,a(flip),b,18834,a),flip(a)]. 18836 K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,y * z) \ u) * T(z,y)). [hyper(290,a,17278,a(flip),b,18835,a),flip(a)]. 18837 K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,z) \ u) * T(z,y)). [hyper(290,a,17275,a(flip),b,18836,a),flip(a)]. 18838 K(x,(T(y,y \ z) * u) * (y \ (z / y))) = K(x,(T(y,z) \ u) * T(z,y)). [hyper(65,a,17225,a(flip),b,18837,a)]. 18839 K(x,(y * z) * (T(y,y \ u) \ (u / y))) = K(x,(T(y,u) \ z) * T(u,y)). [hyper(16290,a,18838,a)]. 18840 K(x,(T(y,z) \ u) * T(z,y)) = K(x,(y * u) * (y \ (y \ z))). [para(3511(a,1),18839(a,1,2,2)),flip(a)]. 18841 K(x,(T(y,z) \ u) * T(z,y)) = K(x,(y \ u) * z). [hyper(290,a,18793,a(flip),b,18840,a),flip(a)]. 18842 L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). [hyper(290,a,186,a(flip),b,16760,a),flip(a)]. 18844 L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,T(x,y),T(x,y)). [para(16786(a,1),18842(a,2,2))]. 18845 L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,x,x). [para(16786(a,1),18844(a,2,2))]. 18848 K(x,y * (T(z,u) * L(w,z,z))) = K(x,y * ((1 / T(z,u)) \ w)). [para(18845(a,1),18783(a,1,2,2))]. 18849 K(x,y * (T(z,u) * L(w,z,z))) = K(x,y * (T(z \ 1,u) \ w)). [hyper(290,a,18216,a(flip),b,18848,a),flip(a)]. 18850 K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) * (1 / (y * T(z,u \ w)))). [para(15096(a,1),16341(a,2,2,1))]. 18851 K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) / (y * T(z,u \ w))). [hyper(290,a,12977,a(flip),b,18850,a),flip(a)]. 18852 K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) / (y * T(z,u * w))). [hyper(290,a,18323,a(flip),b,18851,a),flip(a)]. 18853 K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,(y * T(z,u * w)) \ v5). [hyper(290,a,12291,a(flip),b,18852,a),flip(a)]. 18854 K(x,(((y * T(z,u \ w)) \ v5) * ((y * T(z,u \ w)) \ 1)) * (y * T(z,u * w))) = K(x,(y * T(z,u * w)) \ v5). [hyper(65,a,12470,a(flip),b,18853,a)]. 18855 K(x,(y * T(z,u \ w)) \ v5) = K(x,(y * T(z,u * w)) \ v5). [hyper(65,a,17484,a(flip),b,18854,a)]. 18857 K(x,(T(y \ 1,z * y) * T(u,T(y,z) * u)) \ w) = K(x,(u * T(y \ 1,z)) \ w). [hyper(65,a,18500,a(flip),b,18855,a),flip(a)]. 18858 K(x,((1 / y) * T(y \ ((y \ 1) \ z),u * w)) \ v5) = K(x,(y \ T(z,u \ w)) \ v5). [para(14207(a,1),18855(a,1,2,1)),flip(a)]. 18859 K(x,(T(y \ 1,z * y) * T(u,T(y,z))) \ w) = K(x,(u * T(y \ 1,z)) \ w). [hyper(65,a,18134,a(flip),b,18857,a)]. 18860 K(x,(T(y \ 1,z * y) * T(u,y)) \ w) = K(x,(u * T(y \ 1,z)) \ w). [hyper(17890,a,18859,a)]. 18862 K(x,(T(y \ 1,z) * T(u,y)) \ w) = K(x,(u * T(y \ 1,z)) \ w). [hyper(65,a,17992,a(flip),b,18860,a)]. 18863 K(x,(((y * y) \ z) * T(y,u)) \ w) = K(x,(z * T(y \ 1,u)) \ w). [hyper(65,a,18248,a(flip),b,18862,a)]. 18864 K(x,(y * T(z,u)) \ ((z * z) * w)) = K(x,(y * T(z \ 1,u)) \ w). [para(694(a,1),18863(a,1,2))]. 18865 K(x,y * (y * ((z * T(y,u)) \ w))) = K(x,(z * T(y \ 1,u)) \ w). [hyper(65,a,15203,a(flip),b,18864,a)]. 18866 K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,(y * T(u \ 1,z)) \ w). [hyper(65,a,18593,a,b,18865,a)]. 18867 K(x,(y * T(z \ 1,u)) \ w) = K(x,(y * (T(z,u) \ 1)) \ w). [hyper(65,a,18587,a(flip),b,18866,a),flip(a)]. 18868 K(x,((T(y \ 1,z) \ L(T(y \ 1,z),u,w)) * (T(y,z) \ 1)) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5). [para(4355(a,1),18867(a,1,2,1)),flip(a)]. 18869 K(x,(y \ T(z,u \ w)) \ v5) = K(x,(y \ T(z,u * w)) \ v5). [para(14207(a,1),18858(a,1,2,1)),flip(a)]. 18870 K(x,(T((y \ 1) \ L(y \ 1,z,u),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). [para(6370(a,1),18868(a,1,2,1,1))]. 18871 K(x,(T(y \ (1 * L(1 \ y,z,u)),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). [para(4348(a,1),18870(a,1,2,1,1,1))]. 18872 K(x,(T(y \ (1 * L(y,z,u)),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). [para(67(a,1),18871(a,1,2,1,1,1,2,2,1))]. 18873 K(x,(T(y \ L(y,z,u),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). [para(7(a,1),18872(a,1,2,1,1,1,2))]. 18874 K(x,L(T(y \ 1,z),u,w) \ v5) = K(x,L(T(y,z) \ 1,u,w) \ v5). [para(6372(a,1),18873(a,1,2,1)),flip(a)]. 18875 K(x,L(T(y \ 1,z),u,u) \ w) = K(x,L(T(y,z),u,u) * w). [hyper(290,a,18661,a(flip),b,18874,a),flip(a)]. 18876 K(x,L(T(y,z),u,u) * (y \ (y \ z))) = K(x,z / L(y,u,u)). [hyper(65,a,18487,a(flip),b,18875,a),flip(a)]. 18877 K(x,T(y,z) * L(y \ (y \ z),u,u)) = K(x,z / L(y,u,u)). [hyper(65,a,18785,a(flip),b,18876,a)]. 18878 K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * (z * K(y,z))) * w)) = K(x,T(u,T(z,y)) \ ((((y * z) / y) \ T(u,T(z,y))) * w)). [para(8664(a,1),18091(a,1,2,2,1,2)),flip(a)]. 18879 K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * (z * K(y,z))) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). [hyper(290,a,18494,a(flip),b,18878,a),flip(a)]. 18881 K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * T(z,y)) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). [hyper(65,a,18183,a(flip),b,18879,a)]. 18882 K(x,(((y * z) / y) * (u * T(z,y))) \ ((u * T(z,y)) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). [hyper(65,a,18358,a(flip),b,18881,a)]. 18883 K(x,(T(y,z) * (u * T(y,z))) \ ((u * T(y,z)) * w)) = K(x,u \ ((((z * y) / z) \ u) * w)). [hyper(65,a,17898,a(flip),b,18882,a)]. 18884 K(x,y \ ((((z * u) / z) \ y) * w)) = K(x,y \ ((T(u,z) \ y) * w)). [hyper(65,a,18307,a(flip),b,18883,a),flip(a)]. 18885 K(T(K(x,y) * z,u) * T(w,K(z,u) * z),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). [para(15254(a,1),15385(a,1,1,2))]. 18886 K(T(K(x,y) * z,u) * T(w,T(z,u)),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). [para(4491(a,2),18885(a,1,1,2,2))]. 18888 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(T(K(u,z) * y,w) * T(x,T(y,w)),T(v5,x * y)). [hyper(15981,a,18886,a),flip(a)]. 18889 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(T(K(u,z) * y,w) * T(x,y),T(v5,x * y)). [hyper(290,a,14640,a(flip),b,18888,a),flip(a)]. 18891 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(u,z) * (T(y,w) * T(x,y)),T(v5,x * y)). [hyper(290,a,16189,a(flip),b,18889,a),flip(a)]. 18892 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(u,z) * (K(y,w) * (x * y)),T(v5,x * y)). [para(4728(a,2),18891(a,2,1,2))]. 18893 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(y,w) * ((x * y) * K(u,z)),v5). [hyper(290,a,16250,a(flip),b,18892,a),flip(a)]. 18894 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K((x * T(y,w)) * K(u,z),v5). [hyper(290,a,16163,a(flip),b,18893,a),flip(a)]. 18895 K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(x * (T(y,w) * K(z,u)),v5). [hyper(290,a,16056,a(flip),b,18894,a),flip(a)]. 18896 K(x * ((y * K(y * K(z,u),w)) * K(u,z)),v5) = K(x * (T(y,w) * K(z,u)),v5). [hyper(65,a,18451,a(flip),b,18895,a)]. 18897 K(x * (y * (K(z,u) * K(y * K(u,z),w))),v5) = K(x * (T(y,w) * K(u,z)),v5). [para(17716(a,1),18896(a,1,1,2))]. 18898 K(x * T(y * K(z,u),w),v5) = K(x * (T(y,w) * K(u,z)),v5). [para(15365(a,1),18897(a,1,1,2))]. 18899 K(x * T(y * K(z,u),w),T(v5,y)) = K(K(u,z) * (T(y,w) * x),v5). [hyper(290,a,16165,a(flip),b,18898,a),flip(a)]. 18900 K(K(x,y) * (T(y,z) * u),w) = K(u * T(T(y,x),z),T(w,y)). [para(4471(a,2),18899(a,1,1,2,1)),flip(a)]. 18901 K(K(x,y) * (T(y,z) * u),w) = K(T(T(y,x),z) * u,w). [hyper(290,a,13553,a(flip),b,18900,a),flip(a)]. 18902 a(x,y,K(T(T(z,u * w),v5) * w,u)) = a(x,y,K(u,w * T(z,v5))). [para(18901(a,1),16640(a,1,3))]. 18903 a(x,y,K(T(z,u * w) * T(w,v5),u)) = a(x,y,K(u,w * T(z,v5))). [hyper(65,a,18432,a(flip),b,18902,a)]. 18904 a(x,y,K(z * T(T(u,w),v5 * u),v5)) = a(x,y,K(v5,u * T(z,w))). [hyper(65,a,18432,a(flip),b,18903,a)]. 18905 a(x,y,K(z * T(T(u,w),v5),v5)) = a(x,y,K(v5,u * T(z,w))). [para(16404(a,1),18904(a,1,3))]. 18906 a(x,y,K(z * T(u,w),v5)) = a(x,y,K(v5,u * T(z,w))). [para(7021(a,1),18905(a,1,3))]. 18907 a(x,y,K(z * T(u,w),v5)) = a(u * z,y,K(v5,x)). [hyper(290,a,18768,a(flip),b,18906,a),flip(a)]. 18908 a(x * T(y,z),u,K(w,v5)) = a(y * x,u,K(v5,w)). [hyper(15828,a,18907,a)]. 18910 a(x,y,K(T(z,u) * w,v5)) = a(w * z,y,K(v5,x)). [hyper(65,a,18432,a,b,18907,a)]. 18911 K(x,L(y,z,u \ T(w,v5))) = K(x,y) * a(w * u,z,K(x,y)). [para(18907(a,1),16604(a,1,2)),flip(a)]. 18912 a(T(x,y) * z,u,K(w,v5)) = a(z * x,u,K(v5,w)). [hyper(65,a,18435,a,b,18908,a)]. 18915 a(x * y,y,K(z,u)) = a(z,x,K(T(y,w) \ x,u)). [hyper(65,a,17931,a(flip),b,18912,a),flip(a)]. 18916 a(x * y,y,K(z,u)) = a(z,x,K(T(y,w) * x,u)). [hyper(290,a,16615,a(flip),b,18915,a),flip(a)]. 18918 a(x * y,y,K(z,u)) = a(x * y,x,K(u,z)). [hyper(290,a,18910,a(flip),b,18916,a),flip(a)]. 18919 a(x * y,y,K(z,u)) = a(u,x,K(z,x * y)). [hyper(290,a,13651,a,b,18918,a),flip(a)]. 18920 a((1 / x) * T(y,x),T(y,x),K(z,u)) = a(u,1 / x,K(z,((x * x) \ y) * x)). [para(907(a,2),18919(a,2,3,2))]. 18921 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,w * u)). [hyper(290,a,13724,a(flip),b,18911,a),flip(a)]. 18922 K(x,L(y,z,u * T(w,v5))) = K(x,L(y,z,w * u)). [hyper(16603,a,18921,a)]. 18923 K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,u * y)) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). [hyper(65,a,16864,a(flip),b,18921,a),flip(a)]. 18924 K(x,L(y,z,T(u,w) * v5)) = K(x,L(y,z,u * v5)). [hyper(17560,a,18922,a)]. 18925 K(x,L((y * (z / y)) / u,w,z * w)) = K(x,w / (u * ((y * (z / y)) \ w))). [hyper(65,a,16850,a(flip),b,18924,a),flip(a)]. 18927 K(x,L(T(y / z,z),u,y * u)) = K(x,u / (z * ((z * (y / z)) \ u))). [hyper(65,a,7789,a(flip),b,18925,a)]. 18928 K(x,L(y \ z,u,z * u)) = K(x,u / (y * ((y * (z / y)) \ u))). [para(106(a,1),18927(a,1,2,1))]. 18929 K(x,L(T(y / z,z),u,z * u)) = K(x,L(z \ y,u,y * u)). [hyper(290,a,16647,a(flip),b,18928,a)]. 18930 K(x,L(y \ z,u,z * u)) = K(x,L(y \ z,u,y * u)). [para(106(a,1),18929(a,1,2,1)),flip(a)]. 18931 a((1 / x) * T(y,x),y,K(z,u)) = a(u,1 / x,K(z,((x * x) \ y) * x)). [hyper(17706,a,18920,a)]. 18933 a(x * (1 / y),x,K(z,u)) = a(z,1 / y,K(u,((y * y) \ x) * y)). [hyper(65,a,18908,a(flip),b,18931,a)]. 18935 a(x * y,x,K(z,u)) = a(z,1 / y,K(u,((y * y) \ x) * y)). [hyper(65,a,2922,a(flip),b,18933,a)]. 18936 a(x * y,x,K(z,u)) = a(z,1 / y,K(u,x * ((y * y) \ y))). [para(15127(a,1),18935(a,2,3))]. 18937 a(x * y,x,K(z,u)) = a(z,1 / y,K(u,x * (1 / y))). [para(441(a,1),18936(a,2,3,2,2))]. 18938 a(x * y,x,K(z,u)) = a(z,1 / y,K(u,x / y)). [para(12977(a,1),18937(a,2,3))]. 18939 a(x * y,x,K(z,u)) = a(z,1 / y,K(u,y * x)). [hyper(290,a,16562,a(flip),b,18938,a),flip(a)]. 18940 a(x * y,x,K(z,u)) = a(z,y,K(u,y * x)). [hyper(290,a,2182,a(flip),b,18939,a),flip(a)]. 18941 K(x,L(T(y,(z * u) / z) \ w,y,u * y)) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). [hyper(12708,a,18923,a)]. 18943 K(x,L(T(y,T(z,u)) \ w,y,z * y)) = K(x,T(z,u) \ ((y \ ((u * z) / u)) * w)). [para(7607(a,1),18941(a,1,2,1,1))]. 18944 K(x,L(T(y,z) \ u,y,z * y)) = K(x,T(z,w) \ ((y \ ((w * z) / w)) * u)). [hyper(14962,a,18943,a)]. 18945 K(x,L(T(y,z) \ u,y,z * y)) = K(x,z \ ((y \ z) * u)). [hyper(290,a,18034,a(flip),b,18944,a),flip(a)]. 18946 K(x,L(T(y,z) \ u,y \ (z * y),z * y)) = K(x,z \ ((y \ z) * u)). [hyper(65,a,17060,a,b,18945,a)]. 18947 K(x,L(T(y,z) \ u,T(z,y),z * y)) = K(x,z \ ((y \ z) * u)). [para(22(a,2),18946(a,1,2,2))]. 18948 K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). [hyper(65,a,18138,a(flip),b,18947,a)]. 18949 K(x,L(T(y,z) * u,z,z * y)) = K(x,z \ (((y \ 1) \ z) * u)). [hyper(65,a,18146,a,b,18948,a)]. 18950 K(x,y \ ((a(z,z,y) \ y) * u)) = K(x,a(y,z,z) * u). [hyper(65,a,18509,a(flip),b,18948,a),flip(a)]. 18951 K(x,y \ ((((y * z) / y) \ y) * u)) = K(x,y \ ((z / y) \ u)). [hyper(65,a,18278,a(flip),b,18948,a),flip(a)]. 18952 K(x,y \ (((y * z) \ y) * u)) = K(x,y \ (z \ u)). [para(9(a,1),18948(a,1,2,2,1)),flip(a)]. 18953 K(x,L((y * z) \ u,u,y)) = K(x,z \ (y \ u)). [hyper(18313,a,18952,a)]. 18954 K(x,L(T(y * (z / y),y) \ u,u,y)) = K(x,(z / T(y,z)) \ (y \ u)). [para(3629(a,2),18953(a,1,2,1,1))]. 18955 K(x,y \ (L(y,z,z) * u)) = K(x,a(y,z,z) * u). [para(6185(a,1),18950(a,1,2,2,1))]. 18956 K(x,L(y,z,z) * (y \ u)) = K(x,a(y,z,z) * u). [para(1313(a,1),18955(a,1,2))]. 18957 K(x,y * L(y \ z,u,u)) = K(x,a(y,u,u) * z). [hyper(65,a,18785,a(flip),b,18956,a)]. 18958 K(x,a(y * z,u,u) * (y * (z * w))) = K(x,(y * z) * L(L(w,z,y),u,u)). [para(18(a,2),18957(a,1,2,2,1)),flip(a)]. 18959 K(x,((y \ z) \ z) * L(y \ (y \ z),u,u)) = K(x,a((y \ z) \ z,u,u) * (z / y)). [para(3518(a,1),18957(a,1,2,2,1))]. 18961 K(x,y \ ((T(z,y) \ y) * u)) = K(x,y \ ((z / y) \ u)). [hyper(65,a,18884,a(flip),b,18951,a)]. 18962 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [hyper(65,a,18631,a(flip),b,18961,a),flip(a)]. 18963 K(x,L(y \ z,u,y * u)) = K(x,u \ ((u / y) * z)). [hyper(17578,a,18962,a)]. 18964 K(x,L(y \ z,u,z * u)) = K(x,u \ ((u / y) * z)). [hyper(65,a,18930,a,b,18963,a)]. 18965 K(x,L(y \ z,u,u * z)) = K(x,u \ ((u / y) * z)). [hyper(17560,a,18964,a)]. 18966 K(x,y \ ((y / (z \ 1)) * u)) != w | K(x,L(z * u,y,u * y)) = w. [para(18964(a,1),13101(a,1))]. 18967 K(x,L(T(y,z) * u,z,y * z)) = K(x,z \ (((y \ 1) \ z) * u)). [hyper(17560,a,18949,a)]. 18968 K(x,L(T(y * z,z \ 1) * u,z \ 1,R(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [para(787(a,1),18967(a,1,2,3))]. 18969 K(x,(y / T(z,y)) \ (z \ u)) = K(x,((z * (y / z)) * z) \ (z * u)). [hyper(65,a,11500,a(flip),b,18954,a),flip(a)]. 18970 K(x,(y / T(z,y)) \ (z \ u)) = K(x,(z * ((y / z) * z)) \ (z * u)). [hyper(290,a,12488,a(flip),b,18969,a),flip(a)]. 18971 K(x,(y / T(z,y)) \ (z \ u)) = K(x,(z * y) \ (z * u)). [para(12(a,1),18970(a,2,2,1,2))]. 18972 K(x,(y \ z) \ (y \ u)) = K(x,(y * z) \ (y * u)). [hyper(65,a,17874,a(flip),b,18971,a)]. 18973 K(x,L((y \ (y * z)) \ (y * u),u,y)) = K(x,(y \ z) \ (y \ (y * u))). [hyper(290,a,13772,a,b,18972,a)]. 18974 K(x,K(y \ z,y \ u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). [para(18972(a,1),8006(a,1,2))]. 18975 K(x,L((y \ (y * z)) \ (y * u),u,y)) = K(x,(y \ z) \ u). [para(9(a,1),18973(a,2,2,2))]. 18976 K(x,L(y \ (z * u),u,z)) = K(x,(z \ y) \ u). [para(9(a,1),18975(a,1,2,1,1))]. 18977 K(x,L(y \ (z * u),y,z)) = K(x,(z \ y) \ u). [hyper(13775,a,18976,a)]. 18978 K(x,(y \ (y \ z)) \ u) = K(x,z \ (y * (y * u))). [hyper(65,a,13772,a(flip),b,18976,a),flip(a)]. 18979 K(x,L(y \ z,u,z / u)) = K(x,((z / u) \ y) \ u). [para(12(a,1),18976(a,1,2,1,2))]. 18981 K(x,(y \ z) \ y) != u | K(x,z \ (y * y)) = u. [para(18976(a,1),12987(a,1))]. 18982 K(x,L(y \ (z * u),y,R(u,z,z) \ (u * z))) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). [para(12140(a,1),18977(a,1,2,1,2))]. 18984 K(x,y \ (z * z)) = K(x,z * (z / y)). [hyper(18981,a,18066,a)]. 18985 L(T(x,(y \ 1) * (z * z)),z * z,y \ 1) = K(x,z * (z / y)) * L(x,z * z,y \ 1). [para(18984(a,1),13778(a,2,1))]. 18986 K(x,K(y,z)) * K(y,x \ (u * (u * z))) = K(y,z / (u \ (u \ x))). [para(18978(a,1),13846(a,1,2))]. 18987 K(x,L(y \ z,u,u * z)) = K(x,((z / u) \ y) \ u). [hyper(16610,a,18979,a)]. 18988 K(x,((y / z) \ u) \ z) = K(x,z \ ((z / u) * y)). [hyper(65,a,18965,a(flip),b,18987,a),flip(a)]. 18990 K(x,(y * (y * z)) / u) = K(x,z / (y \ (y \ u))). [hyper(65,a,13308,a(flip),b,18986,a)]. 18991 K(x,L((y * z) / u,y,z)) = K(x,y / (z \ (z \ (u * z)))). [hyper(65,a,18150,a,b,18990,a)]. 18992 K(x,L((y * z) / u,y,z)) = K(x,y / (z \ T(u,z))). [para(22(a,2),18991(a,2,2,2,2))]. 18993 K(x,L((y * z) / u,y,z)) = K(x,y / (u / z)). [hyper(290,a,17914,a(flip),b,18992,a),flip(a)]. 18994 K(x,L((y * z) * u,y,z)) = K(x,y / ((u \ 1) / z)). [hyper(13107,a,18993,a)]. 18995 K(x,a(y * z,u,u) * (y * (z * w))) = K(x,y * (z * L(w,u,u))). [para(458(a,1),18958(a,2,2))]. 18996 K(x,y * (z * L(u,w,w))) = K(x,y * (z * u)). [hyper(65,a,18573,a(flip),b,18995,a),flip(a)]. 18997 K(x,a(y * z,u,u) * (y * (w * z))) = K(x,y * (z * L(T(w,z),u,u))). [para(104(a,1),18995(a,1,2,2,2))]. 18999 K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (T(z,u) * w)). [hyper(65,a,18849,a(flip),b,18996,a)]. 19000 K(x,y * (z * ((u * u) \ w))) = K(x,y * (z * (u \ (u \ w)))). [para(273(a,1),18996(a,1,2,2,2))]. 19002 K(x,y * (T(1 / z,u) \ w)) = K(x,y * (T(z,u) * w)). [hyper(65,a,5268,a,b,18999,a)]. 19003 K(x,y * (z * (y \ (y \ u)))) = K(x,y \ (z * u)). [hyper(65,a,17980,a(flip),b,19000,a),flip(a)]. 19004 K(x,a(y * z,u,u) * (y * (w * z))) = K(x,y * (L(w,u,u) * z)). [para(226(a,1),18997(a,2,2,2))]. 19005 K(x,y * (L(z,u,u) * w)) = K(x,y * (z * w)). [hyper(65,a,18573,a(flip),b,19004,a),flip(a)]. 19007 K(x,y \ ((y * (y * z)) * u)) = K(x,y * (z * u)). [hyper(65,a,13219,a,b,19005,a)]. 19009 K(x,K(y \ z,y * u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). [para(13306(a,1),18974(a,1,1))]. 19010 K(x,K(y * z,y * u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). [para(13316(a,1),19009(a,1,1))]. 19011 K(x,(y \ z) / (y \ u)) = K(x,(y * z) / (y * u)). [hyper(8007,a,19010,a),flip(a)]. 19012 K(x,(y \ z) / (y \ u)) != w | K(x,(y * z) / (y * u)) = w. [para(19010(a,1),8007(a,1))]. 19013 K(x,(T(y,z) \ u) / (T(y,z) \ z)) = K(x,(T(y,z) * u) / (z * y)). [hyper(290,a,17861,a(flip),b,19011,a),flip(a)]. 19014 K(x,(y \ ((1 / y) * z)) / (y \ u)) = K(x,((y \ 1) * (y * z)) / (y * u)). [para(724(a,2),19011(a,2,2,1))]. 19015 K(x,(T(y,z) \ u) / (z / y)) = K(x,(T(y,z) * u) / (z * y)). [hyper(17913,a,19013,a)]. 19016 K(x,(T(y,z) \ u) / (z / y)) = K(x,(y * u) / (z * T(y,z))). [hyper(290,a,18338,a(flip),b,19015,a),flip(a)]. 19017 K(x,(T(y,z) \ u) / (z / y)) = K(x,(y * u) / (y * z)). [para(104(a,1),19016(a,2,2,2))]. 19018 K(x,(T(y,(z / y) \ 1) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [hyper(290,a,16887,a(flip),b,19017,a),flip(a)]. 19019 K(x,((y \ 1) * (y \ z)) / (y \ u)) = K(x,((y \ 1) * (y * z)) / (y * u)). [para(2314(a,1),19014(a,1,2,1))]. 19020 K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,(y \ 1) * (y \ (z / (y \ u)))). [para(2349(a,1),19019(a,1,2)),flip(a)]. 19021 K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,T(z / ((1 / y) \ u),y * y)). [para(12912(a,2),19020(a,2,2))]. 19022 K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,z / ((1 / y) \ u)). [hyper(290,a,13179,a(flip),b,19021,a),flip(a)]. 19024 K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,z / ((y \ 1) \ u)). [hyper(290,a,5263,a(flip),b,19022,a),flip(a)]. 19025 K(x,(y * ((1 / y) * z)) / (y * u)) = K(x,z / ((y \ 1) \ u)). [para(724(a,1),19024(a,1,2,1))]. 19026 K(x,L(y,z,z) / (z * u)) = K(x,y / ((z \ 1) \ u)). [hyper(65,a,16707,a(flip),b,19025,a)]. 19027 K(x,y / L(z * u,z,z)) = K(x,y / ((z \ 1) \ u)). [hyper(65,a,18790,a(flip),b,19026,a)]. 19028 K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),L(1 / z,u,z))) = K(x,y / (R(z,u,z) \ w)). [para(10215(a,1),19027(a,2,2,2,1))]. 19029 K(x,T(y,z) * L(y \ (y \ z),u,u)) = K(x,a((y \ z) \ z,u,u) * (z / y)). [hyper(12344,a,18959,a)]. 19030 K(x,a((y \ z) \ z,u,u) * (z / y)) = K(x,z / L(y,u,u)). [hyper(65,a,18877,a(flip),b,19029,a),flip(a)]. 19031 K(x,y / L(z,u,u)) = K(x,y / z). [hyper(65,a,18573,a(flip),b,19030,a),flip(a)]. 19033 L(T(x,(y \ 1) * (z * z)),z * z,y \ 1) = K(x,z * (z / y)) * x. [para(448(a,1),18985(a,2,2))]. 19034 L(T(x,(y \ 1) * (z * z)),z * z,y \ 1) = T(x,z * (z / y)). [hyper(290,a,4491,a,b,19033,a),flip(a)]. 19035 L(T(x,y \ (z * z)),z * z,y \ 1) = T(x,z * (z / y)). [para(405(a,1),19034(a,1,1,2))]. 19036 T(x,y \ (z * z)) = T(x,z * (z / y)). [hyper(469,a,19035,a)]. 19037 T(x,(y * y) / z) = T(x,y * (y / z)). [hyper(13204,a,19036,a)]. 19039 T(x,(y / (z * z)) \ (u \ 1)) = T(x,z * (z / (u * y))). [hyper(13870,a,19037,a)]. 19040 T(x,(y * y) * (z \ (u \ 1))) = T(x,y * (y / (u * z))). [para(804(a,1),19039(a,1,2))]. 19041 T(x,y * (y / (z * (u \ 1)))) = T(x,y * (y * (u / z))). [hyper(65,a,13894,a(flip),b,19040,a),flip(a)]. 19042 T(x,(y \ z) * (z * (z / y))) = T(x,z * (z * ((y \ z) / y))). [hyper(65,a,17312,a(flip),b,19041,a)]. 19043 T(x,(y \ z) * (z * (z / y))) = T(x,z * (z * (y \ (z / y)))). [hyper(290,a,16031,a(flip),b,19042,a),flip(a)]. 19044 K(x,y \ (z * T(u / (u \ w),u * (u * (w \ (u / w)))))) = K(x,y \ (z * (u * (u / w)))). [para(19043(a,1),17085(a,1,2,2,2))]. 19045 K(x,(T(y,z \ (y * 1)) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [para(9822(a,1),19018(a,1,2,1,1))]. 19046 K(x,y \ (z * T(u / (u \ w),w \ (u / w)))) = K(x,y \ (z * (u * (u / w)))). [hyper(65,a,16344,a(flip),b,19044,a)]. 19047 K(x,y \ (z * T(u / (u \ w),w * (u / w)))) = K(x,y \ (z * (u * (u / w)))). [hyper(16343,a,19046,a)]. 19049 K(x,y \ (z * T(u / (u \ w),T(u,w)))) = K(x,y \ (z * (u * (u / w)))). [para(10968(a,1),19047(a,1,2,2,2))]. 19050 K(x,y \ (z * T(u / (u \ w),u))) = K(x,y \ (z * (u * (u / w)))). [hyper(65,a,15908,a(flip),b,19049,a)]. 19051 K(x,y \ (z * ((u \ w) \ u))) = K(x,y \ (z * (u * (u / w)))). [hyper(13589,a,19050,a)]. 19053 K(x,y \ (z * ((u \ w) * w))) = K(x,y \ (z * (w * (w / u)))). [hyper(65,a,18617,a(flip),b,19051,a)]. 19054 K(x,y \ (T(z,u) * (w * (w / u)))) = K(x,y \ (((u \ w) * w) * z)). [hyper(17972,a,19053,a),flip(a)]. 19055 K(x,y \ (((z \ u) * u) * w)) = K(x,y \ ((u * (u / z)) * w)). [hyper(17971,a,19054,a),flip(a)]. 19056 K(x,y \ (((T(z,u) \ (z * u)) * (z * u)) * w)) = K(x,y \ (((z * u) * u) * w)). [para(182(a,1),19055(a,2,2,2,1,2))]. 19057 K(x,y \ ((T(z,u) * (u * z)) * w)) = K(x,y \ (((u * z) * z) * w)). [para(3596(a,1),19056(a,1,2,2,1,1))]. 19058 K(x,y \ (((z * u) * u) * w)) = K(x,y \ ((u * (u * z)) * w)). [para(3652(a,1),19057(a,1,2,2,1)),flip(a)]. 19059 K(x,(T(y,z \ y) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [para(8(a,1),19045(a,1,2,1,1,2,2))]. 19060 K(x,(T(y,z * y) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [hyper(18249,a,19059,a)]. 19061 K(x,(T(y,y * z) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [para(3657(a,1),19060(a,1,2,1,1))]. 19062 K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). [hyper(17277,a,19061,a)]. 19063 K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) = K(x,(y * T(u \ 1,y)) \ z). [hyper(290,a,18866,a(flip),b,19062,a),flip(a)]. 19064 K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) = K(x,((u \ 1) * y) \ z). [para(104(a,1),19063(a,2,2,1))]. 19065 K(x,L(y \ (z * u),y,L(z,z,u * z))) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). [para(16886(a,1),18982(a,1,2))]. 19066 K(x,L(y \ (z * u),y,z)) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). [hyper(13784,a,19065,a)]. 19067 K(x,((R(y,z,z) \ (y * z)) \ u) \ R(y,z,z)) = K(x,(z \ u) \ y). [hyper(65,a,18977,a(flip),b,19066,a),flip(a)]. 19068 K(x,((R(y,z,z) \ (y * z)) \ u) \ L(y,z,z)) = K(x,(z \ u) \ y). [hyper(65,a,17999,a(flip),b,19067,a)]. 19069 K(x,(L(y,y,z) \ u) \ L(z,y,y)) = K(x,(y \ u) \ z). [para(16827(a,1),19068(a,1,2,1,1))]. 19070 K(x,(L(y,y,L(z,y,y)) \ u) \ L(L(z,y,y),y,y)) = K(x,((y \ 1) * u) \ z). [hyper(290,a,18827,a(flip),b,19069,a),flip(a)]. 19071 K(x,(L(y,y,K(y,z) * u) \ z) \ L(K(y,z) * u,y,y)) = K(x,(T(y,z) \ z) \ u). [para(18275(a,1),19069(a,2,2))]. 19072 K(x,(L(y,y,z) \ u) \ L(L(z,y,y),y,y)) = K(x,((y \ 1) * u) \ z). [para(16976(a,1),19070(a,1,2,1,1))]. 19073 K(x,(L(y,y,z) \ u) \ z) = K(x,((y \ 1) * u) \ z). [hyper(65,a,18805,a(flip),b,19072,a)]. 19075 K(x,(L(y,y,K(y \ 1,z) * u) \ z) \ (K(y \ 1,z) * u)) = K(x,(z * (y \ 1)) \ u). [para(10915(a,1),19073(a,2,2))]. 19076 K(x,K(y,z) * ((L(y,y,K(y,z) * u) \ z) \ L(u,y,y))) = K(x,(T(y,z) \ z) \ u). [hyper(65,a,17747,a(flip),b,19071,a)]. 19077 K(x,(L(y,y,K(y,z) * u) \ T(z,y)) \ L(u,y,y)) = K(x,(T(y,z) \ z) \ u). [hyper(65,a,17730,a(flip),b,19076,a)]. 19078 K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)) = K(x,(T(z,y) \ y) \ u). [hyper(65,a,17853,a(flip),b,19077,a)]. 19079 K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)) = K(x,(y / z) \ u). [hyper(290,a,17852,a(flip),b,19078,a),flip(a)]. 19080 K(x,(y / L(z,z,K(z,y) * u)) \ u) = K(x,(y / z) \ u). [hyper(65,a,18807,a(flip),b,19079,a)]. 19082 K(x,(L(y,y,K(y,z) * u) \ z) \ (K(y \ 1,z) * u)) = K(x,(z * (y \ 1)) \ u). [para(17204(a,1),19075(a,1,2,1,1))]. 19083 K(x,K(y,z \ 1) * ((L(z,z,K(z,y) * u) \ y) \ u)) = K(x,(y * (z \ 1)) \ u). [hyper(17748,a,19082,a)]. 19084 K(x,(L(y,y,K(y,z) * u) \ T(z,y \ 1)) \ u) = K(x,(z * (y \ 1)) \ u). [hyper(65,a,17809,a(flip),b,19083,a)]. 19085 K(x,(L(y,y,K(y,z) * u) \ T(z,y * 1)) \ u) = K(x,(z * (y \ 1)) \ u). [hyper(65,a,18869,a(flip),b,19084,a)]. 19086 K(x,(L(y,y,K(y,z) * u) \ T(z,y)) \ u) = K(x,(z * (y \ 1)) \ u). [para(8(a,1),19085(a,1,2,1,2,2))]. 19087 K(x,(y / L(z,z,K(z,y) * u)) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(65,a,17853,a(flip),b,19086,a)]. 19088 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(65,a,19080,a(flip),b,19087,a),flip(a)]. 19089 K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),L(z,u,z))) = K(x,y / (R(z,u,z) \ w)). [para(16753(a,1),19028(a,1,2,2))]. 19090 K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),z)) = K(x,y / (R(z,u,z) \ w)). [para(12054(a,1),19089(a,1,2,2))]. 19092 K(x,y / L(L(1 / z,u,z) * w,L(z,u,z),z)) = K(x,y / (R(z,u,z) \ w)). [para(16903(a,1),19090(a,1,2,2))]. 19093 K(x,y / L(L(1 / z,u,z) * w,z,z)) = K(x,y / (R(z,u,z) \ w)). [para(17037(a,1),19092(a,1,2,2))]. 19094 K(x,y / L(L(1 / z,u,z) * w,z,z)) = K(x,y / (z \ w)). [hyper(290,a,17162,a(flip),b,19093,a),flip(a)]. 19097 K(x,y / (L(1 / z,u,z) * w)) = K(x,y / (z \ w)). [hyper(65,a,19031,a(flip),b,19094,a)]. 19099 K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). [para(2580(a,1),19097(a,1,2,2,1))]. 19100 K(x,L(T(y * z,z \ 1) * u,z \ 1,L(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [para(16974(a,1),18968(a,1,2))]. 19101 K(x,L(T(y * z,z \ 1) * u,z,L(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [hyper(65,a,16694,a(flip),b,19100,a)]. 19102 K(x,L(T(y * z,z \ 1) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [hyper(65,a,16608,a(flip),b,19101,a)]. 19103 K(x,L(T(y * z,z * 1) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [hyper(16260,a,19102,a)]. 19105 K(x,L(T(y * z,z) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). [para(8(a,1),19103(a,1,2,1,1,2))]. 19106 K(x,L((y * z) * u,y,z)) = K(x,(y \ 1) \ ((((z * y) \ 1) \ (y \ 1)) * u)). [hyper(16473,a,19105,a)]. 19107 K(x,L((y * z) * u,y,z)) = K(x,y * ((((z * y) \ 1) \ (y \ 1)) * u)). [hyper(290,a,12838,a(flip),b,19106,a),flip(a)]. 19108 K(x,L((y * z) * u,y,z)) = K(x,y \ ((((z * y) \ 1) \ y) * u)). [hyper(290,a,18317,a(flip),b,19107,a),flip(a)]. 19109 K(x,y \ ((((z * y) \ 1) \ y) * u)) = K(x,y / ((u \ 1) / z)). [hyper(65,a,18994,a(flip),b,19108,a),flip(a)]. 19110 K(x,y \ (((z * y) * y) * u)) = K(x,y / ((u \ 1) / z)). [hyper(65,a,18824,a(flip),b,19109,a)]. 19111 K(x,y \ ((y * (y * z)) * u)) = K(x,y / ((u \ 1) / z)). [hyper(65,a,19058,a(flip),b,19110,a)]. 19112 K(x,y / ((z \ 1) / u)) = K(x,y * (u * z)). [hyper(65,a,19007,a(flip),b,19111,a),flip(a)]. 19113 K(x,(T(y,z) \ u) * (y * (z / y))) = K(x,((u \ 1) * y) \ z). [hyper(65,a,19064,a(flip),b,19112,a),flip(a)]. 19114 K(x,(T(y,z) \ u) * T(z,y)) = K(x,((u \ 1) * y) \ z). [hyper(65,a,16220,a(flip),b,19113,a)]. 19115 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(65,a,18841,a(flip),b,19114,a),flip(a)]. 19116 K(x,(y * (z \ 1)) \ u) = K(x,(T(y,z) \ z) * u). [hyper(17946,a,19115,a)]. 19117 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(65,a,18828,a(flip),b,19115,a)]. 19118 K(x,((T(T(y,z),z) \ u) \ y) * w) = K(x,y * (y * (u \ w))). [hyper(65,a,18299,a(flip),b,19115,a),flip(a)]. 19119 K(x,(y \ z) * T(u,y * z)) = K(x,u / ((z \ 1) * y)). [hyper(65,a,17015,a(flip),b,19115,a),flip(a)]. 19121 K(x,y \ ((y / z) * u)) = K(x,(z \ (u / y)) * y). [hyper(65,a,18988,a(flip),b,19117,a)]. 19122 K(x,(y \ (z \ u)) * (u \ (z * y))) = a(u * y,u,K(z,x)). [hyper(65,a,17609,a(flip),b,19117,a),flip(a)]. 19123 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [hyper(290,a,17249,a(flip),b,19116,a),flip(a)]. 19124 K(x,L(y * (z \ (z \ u)),u,z)) = K(x,(y / z) * (z \ u)). [hyper(17100,a,19123,a)]. 19125 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(65,a,19088,a(flip),b,19123,a)]. 19126 K(R(x,y,z) * K(u,x),(w / v5) * v6) = K(x,L(T((v5 / w) \ v6,u),y,z)). [hyper(16138,a,19125,a),flip(a)]. 19127 x * K(x,(y / z) * u) = T(x,(z / y) \ u). [para(19125(a,1),4471(a,2,2)),flip(a)]. 19129 T(x,(y / z) \ u) = T(x,(z / y) * u). [hyper(4475,a,19127,a),flip(a)]. 19130 T(x,(T(y,z) / L(z,u,K(w,v5))) * v6) = T(x,(y \ z) \ v6). [hyper(65,a,18032,a(flip),b,19129,a),flip(a)]. 19131 K(x,L(y * z,u,z * u)) = K(x,((y \ 1) \ (z / u)) * u). [hyper(18966,a,19121,a)]. 19132 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [hyper(65,a,15120,a(flip),b,19119,a),flip(a)]. 19133 K(x,L((y / z) * u,y,z)) = K(x,y * (z \ u)). [hyper(14449,a,19132,a)]. 19134 K(x,y / (z \ u)) = K(x,y * (u \ z)). [hyper(65,a,19099,a(flip),b,19132,a)]. 19135 K(x,(y * z) / (y * u)) = K(x,(y \ z) * (u \ y)). [hyper(19012,a,19134,a)]. 19136 K(x,y \ (((y / z) * u) * z)) = K(x,(z \ y) * ((u \ y) \ z)). [hyper(65,a,18762,a(flip),b,19135,a)]. 19137 T(x,(T(y,z) / z) * u) = T(x,(y \ z) \ u). [hyper(65,a,18165,a(flip),b,19130,a)]. 19138 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [hyper(65,a,17240,a(flip),b,19137,a),flip(a)]. 19139 K(x,T(y,(z \ u) * w) / ((u \ z) \ w)) = K(x,((u \ z) \ w) \ y). [para(19138(a,1),12291(a,1,2,1))]. 19140 K(x,L(y * z,u,z * u)) = K(x,(y * (z / u)) * u). [hyper(290,a,18814,a(flip),b,19131,a),flip(a)]. 19141 K(x,((y \ z) \ y) * u) = K(x,y * (y * (z \ u))). [para(5319(a,1),19118(a,1,2,1,1,1))]. 19142 K(x,(y * (y / z)) * u) = K(x,y * (y * (z \ u))). [hyper(65,a,16925,a(flip),b,19141,a)]. 19143 K(x,y * (y * (z \ ((y / z) \ u)))) = K(x,z * ((z \ y) * u)). [hyper(65,a,18830,a(flip),b,19142,a),flip(a)]. 19144 x * K(y,(z \ x) * ((u \ x) \ z)) = ((x / z) * K(y,u)) * z. [para(19136(a,1),18085(a,1,2))]. 19145 K(x,y \ (((1 / z) / y) \ u)) = K(x,y * ((y \ z) * u)). [hyper(65,a,18096,a(flip),b,19143,a)]. 19146 K(x,y \ ((y / (1 / z)) * u)) = K(x,y * ((y \ z) * u)). [hyper(65,a,18962,a(flip),b,19145,a)]. 19147 K(x,((1 / y) \ (z / u)) * u) = K(x,u * ((u \ y) * z)). [hyper(65,a,19121,a(flip),b,19146,a)]. 19148 K(x,(y * (z / u)) * u) = K(x,u * ((u \ y) * z)). [hyper(65,a,18817,a(flip),b,19147,a)]. 19149 K(x,L(y * z,u,z * u)) = K(x,u * ((u \ y) * z)). [hyper(65,a,19140,a,b,19148,a)]. 19150 K(x,L(y * (z \ (z \ u)),(z \ 1) \ 1,z \ T(u,z))) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). [para(16943(a,1),19149(a,1,2,3))]. 19151 x * K(y,(z \ x) * (T(1 / (u / x),u) \ z)) = ((x / z) * K(y,(1 / (u / x)) \ x)) * z. [para(4074(a,2),19144(a,1,2,2,2,1))]. 19152 K(x,T(y,(z \ u) * w) * (w \ (u \ z))) = K(x,((u \ z) \ w) \ y). [hyper(65,a,19134,a(flip),b,19139,a)]. 19153 K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,((z \ u) \ w) \ y). [hyper(65,a,18046,a(flip),b,19152,a)]. 19154 K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,(w \ (z \ u)) * y). [hyper(290,a,19117,a(flip),b,19153,a),flip(a)]. 19155 K(x,L(T((y / z) \ u,w),v5,v6)) = K(x,L(T((z / y) * u,w),v5,v6)). [hyper(16138,a,19126,a),flip(a)]. 19156 K(x,L(T((y / z) * u,y * z),w,v5)) = K(x,L(u / (z / y),w,v5)). [hyper(65,a,13571,a(flip),b,19155,a),flip(a)]. 19157 K(x,L(y / (z / u),w,v5)) = K(x,L(y * (u / z),w,v5)). [hyper(14001,a,19156,a),flip(a)]. 19158 K(x,L(y * (z / T(u,z \ u)),w,v5)) = K(x,L(y / (z \ u),w,v5)). [hyper(18174,a,19157,a),flip(a)]. 19159 K(x,L(y / (z \ u),w,v5)) = K(x,L(y * (u \ z),w,v5)). [hyper(65,a,18176,a(flip),b,19158,a),flip(a)]. 19160 K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,(y * (u / z)) / z). [hyper(65,a,18475,a(flip),b,19159,a),flip(a)]. 19161 K(x,L((y / z) * (u \ w),y,z)) = K(x,y / ((w \ 1) * (w \ (((1 / w) \ u) * z)))). [hyper(65,a,14448,a(flip),b,19159,a),flip(a)]. 19162 K(x,y / ((z \ 1) * (z \ (((1 / z) \ u) * w)))) = K(x,y * (w \ (u \ z))). [hyper(65,a,19133,a(flip),b,19161,a),flip(a)]. 19163 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [para(2362(a,1),19162(a,1,2,2))]. 19164 K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,((u \ z) * w) \ y). [hyper(18059,a,19163,a),flip(a)]. 19166 K(x,((y \ z) * u) \ w) = K(x,(u \ (z \ y)) * w). [hyper(65,a,19154,a(flip),b,19164,a),flip(a)]. 19167 K(x,(y \ (z \ u)) * (u \ (z * y))) = a(y,z,K(u,x)). [hyper(65,a,14536,a(flip),b,19166,a),flip(a)]. 19168 a(x * y,x,K(z,u)) = a(y,z,K(x,u)). [hyper(65,a,19122,a(flip),b,19167,a)]. 19169 a(x,y,K(z,y * u)) = a(y,x,K(u,z)). [hyper(65,a,18940,a(flip),b,19168,a)]. 19170 K(x,L(y,z,z * u)) = (K(x,y) * u) / (u * a(z,y,K(u,x))). [para(19169(a,1),18355(a,1,2,2)),flip(a)]. 19171 K(x,L(y,z,z * u)) = (K(x,y) * u) / L(u,y,K(x,z)). [para(17528(a,1),19170(a,2,2))]. 19172 K(x,L(y,z,z * u)) = K(x,y) * a(u,y,K(x,z)). [hyper(290,a,17555,a(flip),b,19171,a),flip(a)]. 19173 K(x,y) * a(z * u,y,K(x,z)) = K(x,L(y,z,u)). [hyper(65,a,16606,a(flip),b,19172,a),flip(a)]. 19174 K(x,y) * a(z,y,K(x,u)) = K(x,L(y,z,u)). [para(16570(a,1),19173(a,1,2))]. 19175 K(x,L(y,z,z * u)) = K(x,L(y,u,z)). [hyper(65,a,19172,a,b,19174,a)]. 19176 ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y \ x) * (T(u / x,u) * y)). [para(19002(a,1),19151(a,1,2)),flip(a)]. 19177 ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y \ x) * ((x \ u) * y)). [para(12462(a,1),19176(a,2,2))]. 19178 ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y * x) * ((x \ u) / y)). [para(18799(a,1),19177(a,2,2))]. 19179 ((x / y) * K(z,(u / x) * x)) * y = x * K(z,(y * x) * ((x \ u) / y)). [para(12837(a,1),19178(a,1,1,2))]. 19180 x * K(y,(z * x) * ((x \ u) / z)) = ((x / z) * K(y,u)) * z. [para(12(a,1),19179(a,1,1,2,2)),flip(a)]. 19181 (x * y) * K(z,(y * (x * y)) * (((x * y) \ u) / y)) = (x * K(z,u)) * y. [para(11(a,1),19180(a,2,1,1))]. 19182 (x * y) * K(z,T(x,y) * (((x * y) \ u) * y)) = (x * K(z,u)) * y. [para(18800(a,1),19181(a,1,2))]. 19183 (x * y) * K(z,x * (((y * x) \ u) * y)) = (x * K(z,u)) * y. [para(10650(a,1),19182(a,1,2,2))]. 19184 ((x \ 1) * ((x * x) * y)) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. [hyper(290,a,988,a(flip),b,19183,a),flip(a)]. 19185 K(x,L(y * (z \ (z \ u)),(z \ 1) \ 1,u / z)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). [para(17046(a,1),19150(a,1,2))]. 19186 K(x,L(y * (z \ (z \ u)),z,u / z)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). [para(4278(a,1),19185(a,1,2))]. 19187 K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). [hyper(16610,a,19186,a)]. 19188 K(x,((y \ 1) \ 1) * ((((y \ 1) \ 1) \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). [hyper(65,a,19160,a(flip),b,19187,a),flip(a)]. 19189 K(x,(y \ 1) * (((y \ 1) \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). [para(2120(a,1),19188(a,1,2))]. 19190 K(x,y * ((y \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). [para(2120(a,1),19189(a,1,2))]. 19191 K(x,(y * (z / u)) / u) = K(x,u \ ((u \ y) * z)). [hyper(65,a,19003,a(flip),b,19190,a),flip(a)]. 19192 K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,z \ ((z \ y) * u)). [hyper(65,a,19160,a,b,19191,a)]. 19193 K(x,L(y * (z \ (z \ u)),u,z)) = K(x,z \ ((z \ y) * u)). [hyper(65,a,19175,a(flip),b,19192,a)]. 19194 K(x,y \ ((y \ z) * u)) = K(x,(z / y) * (y \ u)). [hyper(65,a,19124,a(flip),b,19193,a),flip(a)]. 19195 K(x,((y * z) / y) * (y \ u)) = K(x,y \ (z * u)). [para(9(a,1),19194(a,1,2,2,1)),flip(a)]. 19196 K(x,T(y,z) * (z \ u)) = K(x,z \ (y * u)). [hyper(16116,a,19195,a)]. 19197 K(x,y \ (((z * (y \ 1)) \ u) * z)) = K(x,T(u,z)). [hyper(65,a,18823,a(flip),b,19196,a),flip(a)]. 19198 (x * (((1 / x) * x) * y)) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. [para(16904(a,1),19184(a,1,1))]. 19199 (x * y) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. [para(79(a,1),19198(a,1,1,2))]. 19200 (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ ((x * x) \ u)) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. [para(683(a,1),19199(a,1,2,2,2,1))]. 19201 (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ T(u,x * x)) * y)) = (x * T(K(z,u),x * x)) * y. [para(17471(a,1),19200(a,1,2,2,2))]. 19202 (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ u) * y)) = (x * T(K(z,u),x * x)) * y. [para(17158(a,1),19201(a,1,2))]. 19203 (x * y) * K(z,x \ (((y * (x \ 1)) \ u) * y)) = (x * T(K(z,u),x * x)) * y. [para(12836(a,1),19202(a,1,2))]. 19205 (x * y) * K(z,x \ (((y * (x \ 1)) \ u) * y)) = (x * K(z,u)) * y. [para(13176(a,1),19203(a,2,1,2))]. 19207 (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. [para(19197(a,1),19205(a,1,2))]. 19213 ((x * K(y,z)) * u) / (x * (K(y,z) * u)) = a(x,u,K(y,z)). [para(19207(a,1),16630(a,1,1))]. 19216 a(x,K(y,z),u) = a(x,u,K(y,z)). [hyper(16584,a,19213,a)]. 19217 $F # answer("aK2_eq_aK3 (1423)"). [resolve(19216,a,66,a)]. ============================== end of proof ==========================