============================== prooftrans ============================ Prover9 (64) version 2022-xxA, December 2021. Process 23078 was started by veroff on b146-05, Sat Dec 25 07:19:54 2021 The command was "prover9 -f uflex_to_mbol.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 1389.68 (+ 65.91) seconds.: "middle Bol". % Length of proof: 11328 (0 new hints) % Level of proof: 752 % Maximum clause weight: 71.000 % Given clauses in run: 11722 % Given clauses in proof: 11316 (0 new hints) 1 x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol") # label(non_clause) # label(goal). [goal]. 2 1 * x = x. [assumption]. 3 x * 1 = x. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 x * (x \ y) = y. [assumption]. 6 (x * y) / y = x. [assumption]. 7 (x / y) * y = x. [assumption]. 8 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. 10 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. 12 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. 14 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. 16 x \ (y * x) = T(y,x). [assumption]. 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. 19 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. 21 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. 23 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 27 (((x / y) * (z \ u)) / y) * (z \ x) = (x / y) * (z \ ((u / y) * (z \ x))) # label("UFlex"). [assumption]. 28 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 29 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 30 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 31 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 32 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 33 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 34 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 35 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 36 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 37 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 38 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 39 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 40 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 41 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 42 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 43 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 44 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 45 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 46 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 47 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 48 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 49 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 50 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 51 x != y | x * z = y * z # label("Aux 1"). [assumption]. 52 x != y | z * x = z * y # label("Aux 2"). [assumption]. 53 x != y | x / z = y / z # label("Aux 3"). [assumption]. 55 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 56 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 57 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 58 (c1 / c3) * (c2 \ c1) != c1 * ((c2 * c3) \ c1) # label("middle Bol") # answer("middle Bol"). [deny(1)]. 59 1 \ x = x. [para(2(a,1),4(a,1,2))]. 60 x \ x = 1. [para(3(a,1),4(a,1,2))]. 61 (x * (x \ 1)) * y = y. [para(5(a,2),2(a,1,1))]. 62 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. 63 x \ (y * (y \ (x * z))) = z. [para(5(a,2),4(a,1,2))]. 64 x * (y \ (y * (x \ z))) = z. [para(4(a,2),5(a,1,2))]. 65 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 66 x / x = 1. [para(2(a,1),6(a,1,1))]. 67 x / 1 = x. [para(3(a,1),6(a,1,1))]. 68 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. 69 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 70 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 71 x * ((1 / y) * y) = x. [para(7(a,2),3(a,1,2))]. 72 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 73 (((x * y) / z) * z) / y = x. [para(7(a,2),6(a,1,1))]. 74 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. 75 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 76 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(5(a,1),9(a,2,1,2)),flip(a)]. 77 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(5(a,1),9(a,2,2,1)),flip(a)]. 78 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(5(a,1),9(a,2,2)),flip(a)]. 79 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 80 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 81 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 82 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 83 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 84 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. 85 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(7(a,1),13(a,2,2,2))]. 86 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(7(a,1),13(a,2,2))]. 87 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. 88 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(5(a,1),15(a,2,1))]. 89 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 90 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 91 T(x,1) = 1 \ x. [para(3(a,1),17(a,2,2))]. 92 T(x,x) = x. [para(17(a,2),4(a,1))]. 93 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 94 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 95 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 96 x \ (T(y,z) * x) = T(T(y,x),z). [para(18(a,1),17(a,1)),flip(a)]. 97 x != y | 1 * z != y | x = z. [para(2(a,1),28(a,1))]. 98 1 * x != y | z != y | x = z. [para(2(a,1),28(b,1))]. 99 x != y | x * z != y | 1 = z. [para(3(a,1),28(a,1))]. 100 1 * x != y | x = y. [para(2(a,1),37(a,2))]. 101 x * y != z | x \ z = y. [para(5(a,1),37(a,1)),flip(a)]. 102 x * (x \ (y * z)) != y * u | z = u. [para(5(a,2),37(a,1))]. 104 x * 1 != y | x = y. [para(3(a,1),38(a,2))]. 105 x * y != z | z / y = x. [para(7(a,1),38(a,1)),flip(a)]. 108 x / y != z | z * y = x. [para(6(a,1),40(a,1)),flip(a)]. 109 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(15(a,2),40(a,1))]. 110 x \ y != z | x * z = y. [para(4(a,1),41(a,1)),flip(a)]. 111 T(x,y) != y \ z | x * y = z. [para(17(a,2),41(a,1))]. 112 x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x. [para(9(a,2),42(a,1)),flip(a)]. 113 T(x,y) != (T(z,y) / u) * u | z = x. [para(7(a,2),43(a,1)),flip(a)]. 114 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),43(a,1))]. 115 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(22(a,2),43(a,1)),flip(a)]. 116 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(20(a,1),44(a,1))]. 117 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(24(a,2),44(a,1))]. 118 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(25(a,1),44(a,1))]. 119 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(22(a,1),45(a,1))]. 120 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(24(a,1),45(a,1)),flip(a)]. 121 R(R(x,y,z),u,w) != R(v5,y,z) | R(x,u,w) = v5. [para(26(a,1),45(a,1))]. 122 ((x / y) * y) * z = x * z. [hyper(51,a,7,a)]. 123 (x * (x \ y)) * z = y * z. [hyper(51,a,5,a)]. 124 x * (y * (y \ z)) = x * z. [hyper(52,a,5,a)]. 125 x * (y \ (y * z)) = x * z. [hyper(52,a,4,a)]. 126 ((x / y) * y) / z = x / z. [hyper(53,a,7,a)]. 127 (x * (x \ y)) / z = y / z. [hyper(53,a,5,a)]. 128 ((x * y) / y) \ z = x \ z. [hyper(55,a,6,a)]. 129 (x * (x \ y)) \ z = y \ z. [hyper(55,a,5,a)]. 130 x \ (y * 1) = x \ y. [hyper(56,a,3,a)]. 131 (x * y) / y = (x / z) * z. [hyper(57,a,7,a,b,6,a(flip)),flip(a)]. 132 (x / y) * y = 1 * x. [hyper(57,a,7,a,b,2,a(flip))]. 133 x \ (x * y) = z * (z \ y). [hyper(57,a,5,a,b,4,a(flip)),flip(a)]. 134 x * (x \ y) = y * 1. [hyper(57,a,5,a,b,3,a(flip))]. 135 ((1 / x) * x) \ y = y. [para(7(a,2),59(a,1,1))]. 136 K(x,x) = 1. [hyper(57,a,11,a,b,60,a)]. 137 x * (y \ y) = x. [para(60(a,2),3(a,1,2))]. 138 x / (y * (y \ 1)) = x. [para(5(a,2),67(a,1,2))]. 139 (x / 1) * (y \ ((z / 1) * (y \ x))) = ((x * (y \ z)) / 1) * (y \ x). [para(67(a,1),27(a,1,1,1,1)),flip(a)]. 140 x / 1 != y | x = y. [para(67(a,1),40(a,2))]. 141 T(x,R(x,y,z)) = x. [hyper(36,a,22,a,b,92,a(flip))]. 142 T(x,L(x,y,z)) = x. [hyper(35,a,20,a,b,92,a(flip))]. 143 T(x,T(x,y)) = x. [hyper(34,a,18,a,b,92,a(flip))]. 144 T(T(x,y),x) = T(x,y). [para(92(a,1),18(a,1,1)),flip(a)]. 145 T(L(x,y,z),x) = L(x,y,z). [para(92(a,1),20(a,1,1)),flip(a)]. 146 T(R(x,y,z),x) = R(x,y,z). [para(92(a,1),22(a,1,1)),flip(a)]. 147 x * K(y,y) = x. [para(136(a,2),3(a,1,2))]. 148 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(30,a,15,a(flip),b,69,a),flip(a)]. 149 (((x / y) * z) / z) \ x = y. [hyper(30,a,6,a(flip),b,69,a),flip(a)]. 150 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(9(a,2),69(a,1,2))]. 151 (x * (y * z)) / L(z,y,x) = x * y. [para(13(a,2),69(a,1,2))]. 152 (x * y) / T(x,y) = y. [para(17(a,2),69(a,1,2))]. 153 x / y != z | z \ x = y. [para(69(a,1),39(a,1)),flip(a)]. 155 x / (y / ((z \ x) \ y)) = z. [para(69(a,2),69(a,1,2))]. 156 ((x / y) \ x) * z = y * z. [hyper(51,a,72,a)]. 157 x * ((y / (x \ z)) \ y) = z. [hyper(32,a,4,a,b,72,a(flip))]. 158 ((x / (y / z)) \ x) * z = y. [hyper(31,a,6,a,b,72,a(flip))]. 159 ((x / (y / z)) \ x) \ y = z. [hyper(30,a,69,a,b,72,a(flip))]. 160 x \ y != z | y / z = x. [para(72(a,1),42(a,1)),flip(a)]. 161 T(x,1) = x. [hyper(57,a,91,a,b,59,a)]. 163 T(1,x) = 1. [hyper(48,a,161,a)]. 164 T(x,1) != y | x = y. [para(161(a,1),43(a,2))]. 166 x * (y \ y) != z | x = z. [para(137(a,1),38(a,2))]. 167 K(x,T(x,y)) = 1. [hyper(49,a,143,a)]. 168 x * K(y,y) != z | x = z. [para(147(a,1),38(a,2))]. 169 (x * (x \ 1)) * y != z | y = z. [para(5(a,2),100(a,1,1))]. 170 ((1 / x) * x) * y != z | y = z. [para(7(a,2),100(a,1,1))]. 172 x * (y * (y \ 1)) != z | x = z. [para(5(a,2),104(a,1,2))]. 173 x * ((1 / y) * y) != z | x = z. [para(7(a,2),104(a,1,2))]. 174 K(x,L(x,y,z)) = 1. [hyper(49,a,142,a)]. 175 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),15(a,2,1))]. 176 x * (x \ y) = y * (z * (z \ 1)). [hyper(57,a,62,a,b,5,a(flip)),flip(a)]. 177 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),13(a,2,2))]. 178 R(1 / x,x,y) = y / (x * y). [para(70(a,1),15(a,2,1))]. 179 (x \ y) * T(x,x \ y) = y. [hyper(57,a,93,a,b,5,a)]. 180 (x * T(y,x)) * z = (y * x) * z. [hyper(51,a,93,a)]. 181 T((x * y) / x,x) = y. [hyper(28,a,7,a(flip),b,93,a),flip(a)]. 182 (x * T(y,x)) / x = y. [hyper(29,a,7,a,b,93,a(flip))]. 183 x * (y * (y \ T(z,x))) = z * x. [para(5(a,2),93(a,1,2))]. 184 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(93(a,1),9(a,2,1,2)),flip(a)]. 185 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(93(a,1),9(a,2,2)),flip(a)]. 186 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(93(a,1),13(a,2,2,2)),flip(a)]. 187 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(93(a,1),15(a,2,2)),flip(a)]. 188 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),93(a,1,2))]. 189 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),93(a,1,2))]. 190 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),93(a,1,2))]. 191 x * y != z * x | T(z,x) = y. [para(93(a,1),37(a,1)),flip(a)]. 192 L(x,y,z) * x = x * L(x,y,z). [para(142(a,1),93(a,1,2))]. 193 T(x / (x / y),x / y) = y. [hyper(57,a,95,a,b,72,a)]. 194 T(x / y,y) = z * (z \ (y \ x)). [hyper(57,a,95,a,b,5,a(flip))]. 195 (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). [para(15(a,2),95(a,1,1)),flip(a)]. 196 T(T(x / y,z),y) = T(y \ x,z). [para(95(a,1),18(a,1,1)),flip(a)]. 197 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(95(a,1),20(a,1,1)),flip(a)]. 198 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(95(a,1),22(a,1,1)),flip(a)]. 199 T(x,y) != y \ z | z / y = x. [para(95(a,1),43(a,1)),flip(a)]. 200 (x / y) * y != z | x = z. [para(132(a,2),100(a,1))]. 201 x \ (y * (y \ x)) = 1. [hyper(28,a,5,a,b,134,a(flip))]. 202 x * 1 != y * z | y \ x = z. [para(134(a,1),37(a,1))]. 203 x * (x \ y) != z | y = z. [para(134(a,2),104(a,1))]. 204 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(57,a,13,a,b,135,a),flip(a)]. 205 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(57,a,9,a,b,135,a),flip(a)]. 207 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(57,a,15,a,b,138,a),flip(a)]. 208 x / T(y,y \ x) = y \ x. [para(5(a,1),152(a,1,1))]. 209 (x * T(T(y,x),z)) / x = T(y,z). [hyper(34,a,18,a,b,181,a),flip(a)]. 210 T(T((x * y) / x,z),x) = T(y,z). [para(181(a,1),18(a,1,1)),flip(a)]. 211 T(x,y) != z | (y * z) / y = x. [para(181(a,1),43(a,1)),flip(a)]. 212 x / y != z | y * T(z,y) = x. [para(182(a,1),40(a,1)),flip(a)]. 213 T(x,y) != (z * T(T(u,y),z)) / z | u = x. [para(182(a,2),43(a,1)),flip(a)]. 215 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),200(a,1,1))]. 216 x * T(y,x) != z | y * x = z. [para(152(a,1),200(a,1,1))]. 217 x * y != z | y * T(x,y) = z. [para(182(a,1),200(a,1,1))]. 218 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(9(a,2),203(a,1,2))]. 219 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),203(a,1,2))]. 220 x \ ((x * y) * L(z,y,x)) = y * z. [para(13(a,2),63(a,1,2,2))]. 222 L(x \ (y \ z),x,y) = (y * x) \ z. [para(65(a,1),13(a,2,2))]. 223 x * (x \ (y * z)) = y * (u * (u \ z)). [para(63(a,1),65(a,1,2,2,2)),flip(a)]. 224 (R(x,y,z) * (y * z)) / z = x * y. [para(15(a,2),73(a,1,1,1))]. 225 R((x / y) / z,z,y) = x / (z * y). [para(74(a,1),15(a,2,1))]. 226 ((x * y) / z) * z = ((x / u) * u) * y. [para(73(a,1),74(a,1,1,1,1)),flip(a)]. 227 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),79(a,1,1))]. 228 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(79(a,1),152(a,1,1))]. 229 T(x / y,(x / y) \ x) = y \ x. [para(72(a,1),94(a,2,1))]. 230 x != y | z != y | x = z. [para(2(a,1),97(b,1))]. 231 (x * (x \ y)) * z != y * u | u = z. [para(123(a,1),37(a,1)),flip(a)]. 232 ((x * (x \ y)) / z) \ y = z. [hyper(30,a,69,a(flip),b,127,a),flip(a)]. 233 x / y != (z / u) * u | z * y = x. [para(131(a,1),40(a,1)),flip(a)]. 234 ((x / y) * y) * z != u | x * z = u. [para(131(a,1),200(a,1,1))]. 235 (x * y) / y != z | x = z. [para(131(a,2),200(a,1))]. 237 x / (y \ x) != z | y = z. [para(5(a,1),235(a,1,1))]. 238 (x * T(y,x)) / x != z | y = z. [para(93(a,2),235(a,1,1))]. 239 x / T(y,y \ x) != z | y \ x = z. [para(94(a,2),237(a,1,2))]. 240 x \ y != z * (z \ u) | x * u = y. [para(133(a,1),41(a,1)),flip(a)]. 241 x \ (x * y) != z | y = z. [para(133(a,2),166(a,1))]. 242 x * (y * (y \ z)) != u | x * z = u. [para(133(a,1),203(a,1,2))]. 243 (x / y) \ x != z | y = z. [para(7(a,1),241(a,1,2))]. 244 x \ (y * x) != z | T(y,x) = z. [para(93(a,1),241(a,1,2))]. 245 x \ (y * 1) != z | x \ y = z. [para(134(a,1),241(a,1,2))]. 247 (x * y) \ (y * x) != z | K(y,x) = z. [para(79(a,1),241(a,1,2))]. 248 ((x / (y / z)) \ x) * u != y | z = u. [para(158(a,1),37(a,1)),flip(a)]. 249 T(x,y / z) != z | y / (y / z) = x. [para(193(a,1),43(a,1)),flip(a)]. 251 x \ y != y / T(z,z \ y) | z = x. [para(208(a,2),42(a,1)),flip(a)]. 252 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(15(a,2),232(a,1,1))]. 253 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(230,a,129,a(flip),b,177,a),flip(a)]. 254 x / L(y \ 1,y,x) = x * y. [hyper(160,a,177,a(flip))]. 255 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),177(a,2,1))]. 256 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(177(a,1),20(a,2,1)),flip(a)]. 257 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(177(a,1),24(a,1,1))]. 258 R(1 / x,x,x \ y) = (x \ y) / y. [para(5(a,1),178(a,2,2))]. 259 R(1 / (x / y),x / y,y) = y / x. [para(7(a,1),178(a,2,2))]. 260 x * (y * (y \ 1)) != z * u | z \ x = u. [para(5(a,2),202(a,1,2))]. 261 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),216(a,1,2))]. 262 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),216(a,1,2))]. 267 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(96(a,1),244(a,1))]. 268 (x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w. [para(22(a,2),180(a,1,1,2))]. 269 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(183(a,1),13(a,2,2))]. 270 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(188(a,2),38(a,1))]. 271 T(x / y,z) * y = y * T(y \ x,z). [para(95(a,1),188(a,1,2,1)),flip(a)]. 272 T((x * y) / x,z) * x = x * T(y,z). [para(181(a,1),188(a,1,2,1)),flip(a)]. 273 T(x / y,y) != z * u | z \ (y \ x) = u. [para(194(a,2),37(a,1))]. 274 T(x / y,y) != z | y \ x = z. [para(194(a,2),166(a,1))]. 275 T(x,x \ y) != z | (x \ y) \ y = z. [para(69(a,1),274(a,1,1))]. 276 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(211,a,196,a)]. 277 T((x * y) / x,z) = (x * T(y,z)) / x. [para(181(a,1),209(a,1,1,2,1)),flip(a)]. 278 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(210(a,1),43(a,2)),flip(b)]. 279 (x \ y) * x != y * z | K(x \ y,x) = z. [para(227(a,1),37(a,1))]. 280 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(227(a,1),241(a,1,2))]. 281 K(x \ y,x) \ ((x \ y) * x) != z | T(y,K(x \ y,x)) = z. [para(227(a,1),244(a,1,2))]. 282 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(169,a,81,a),flip(a)]. 283 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(57,a,123,a(flip),b,81,a)]. 284 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(57,a,122,a(flip),b,81,a)]. 285 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(81(a,1),9(a,2,1,2)),flip(a)]. 286 (x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)). [para(81(a,1),9(a,2,2)),flip(a)]. 287 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(81(a,1),13(a,2,2,2)),flip(a)]. 288 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(81(a,1),15(a,2,1)),flip(a)]. 289 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(20(a,1),81(a,1,2))]. 290 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(24(a,2),81(a,1,2))]. 291 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(25(a,1),81(a,1,2))]. 292 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(81(a,1),37(a,1)),flip(a)]. 293 (x * y) * L(z,y,x) != x * u | y * z = u. [para(81(a,2),37(a,1))]. 294 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [para(81(a,1),152(a,1,1))]. 295 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(81(a,1),241(a,1,2))]. 296 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(81(a,1),169(a,1))]. 297 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(230,a,135,a(flip),b,83,a),flip(a)]. 298 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(230,a,129,a(flip),b,83,a),flip(a)]. 299 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(7(a,1),83(a,2,1))]. 300 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(83(a,1),20(a,2,1)),flip(a)]. 301 L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u). [para(83(a,1),25(a,1,1)),flip(a)]. 302 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(93(a,1),83(a,2,1))]. 303 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(83(a,2),245(a,1))]. 304 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(81(a,1),83(a,2,1))]. 305 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(81(a,1),83(a,2,2))]. 306 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(173,a,89,a),flip(a)]. 307 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(28,a,176,a,b,89,a(flip))]. 308 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),89(a,1,2))]. 309 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [para(89(a,1),13(a,2,2)),flip(a)]. 310 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(89(a,1),15(a,2,1,1)),flip(a)]. 311 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(22(a,1),89(a,1,1))]. 312 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),89(a,1,1))]. 313 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),89(a,1,1))]. 314 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(89(a,1),38(a,1))]. 315 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(89(a,1),235(a,1,1))]. 316 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(89(a,1),172(a,1))]. 317 R(x / y,y,x \ z) = z / (y * (x \ z)). [hyper(230,a,127,a(flip),b,90,a),flip(a)]. 318 R(x / y,y,z) \ (x * z) = y * z. [hyper(153,a,90,a(flip))]. 319 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),90(a,2,2))]. 320 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(89(a,1),90(a,2,1))]. 321 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(90(a,2),90(a,1,1))]. 322 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [para(5(a,1),148(a,1,2,1))]. 323 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(61(a,1),148(a,1,2))]. 324 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(81(a,1),148(a,1,2,1))]. 325 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(57,a,126,a(flip),b,151,a)]. 326 (x * y) / L(z,y / z,x) = x * (y / z). [para(7(a,1),151(a,1,1,2))]. 327 x \ (y * L(z,x \ y,x)) = (x \ y) * z. [para(5(a,1),220(a,1,2,1))]. 328 x \ L(y,x \ 1,x) = (x \ 1) * y. [para(61(a,1),220(a,1,2))]. 329 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(222(a,1),20(a,2,1))]. 330 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(222(a,1),25(a,1,1)),flip(a)]. 331 R(x,1 / y,y) / y = x * (1 / y). [para(71(a,1),224(a,1,1))]. 332 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(81(a,1),231(a,1)),flip(b)]. 333 (x * (x \ y)) * z != u | y * z = u. [para(69(a,1),234(a,1,1,1))]. 334 (x * T(y,x)) * z != u | (y * x) * z = u. [para(152(a,1),234(a,1,1,1))]. 336 x * (y \ (y * z)) != u | x * z = u. [para(133(a,2),242(a,1,2))]. 337 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(7(a,1),247(a,1,1))]. 338 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(255(a,1),20(a,2,1)),flip(a)]. 339 T(1 / (x / y),y / x) = 1 / (x / y). [para(259(a,1),141(a,1,2))]. 340 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(22(a,2),275(a,1))]. 341 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(242,a,282,a),flip(a)]. 342 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(282(a,1),241(a,1,2))]. 343 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(297(a,1),20(a,2,1))]. 344 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(297(a,1),24(a,1,1)),flip(a)]. 345 R(x / (1 / y),1 / y,y) = x * y. [hyper(234,a,306,a),flip(a)]. 346 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(318(a,1),237(a,1,2))]. 347 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(323(a,1),42(a,1)),flip(a)]. 348 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(328(a,1),41(a,1)),flip(a)]. 349 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [para(22(a,1),331(a,1,1))]. 351 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(341(a,1),20(a,2,1))]. 352 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(341(a,1),24(a,1,1)),flip(a)]. 353 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(57,a,81,a(flip),b,189,a)]. 354 x * L(T(T(y,x),z),u,w) = L(T(y,z),u,w) * x. [para(18(a,1),189(a,1,2,1))]. 355 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(95(a,1),189(a,1,2,1)),flip(a)]. 356 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(181(a,1),189(a,1,2,1)),flip(a)]. 357 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(94(a,1),189(a,1,2,1))]. 358 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [para(189(a,1),220(a,1,2))]. 359 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(230,a,89,a(flip),b,190,a),flip(a)]. 360 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(18(a,1),190(a,1,2,1))]. 361 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(95(a,1),190(a,1,2,1)),flip(a)]. 362 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(94(a,1),190(a,1,2,1))]. 363 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(211,a,197,a)]. 364 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(211,a,198,a)]. 366 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(90(a,1),198(a,1,1))]. 367 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(225(a,1),198(a,1,1)),flip(a)]. 368 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(223(a,1),37(a,1))]. 369 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(226(a,1),38(a,1))]. 370 T((x * y) / (y * x),z) * (y * x) = (y * x) * T(K(x,y),z). [para(11(a,2),271(a,2,2,1))]. 371 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(276(a,1),200(a,1,1))]. 372 T((x * y) / x,z) != u / x | x * T(y,z) = u. [para(277(a,2),40(a,1))]. 373 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(277(a,1),93(a,1,2))]. 374 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(277(a,2),200(a,1,1))]. 375 (x * y) / a(x / z,z,y) = (x / z) * (z * y). [hyper(29,a,226,a,b,75,a)]. 376 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(75(a,1),241(a,1,2))]. 377 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(93(a,1),82(a,1,2,2)),flip(a)]. 378 x * L(y,z \ x,z) != u | z * ((z \ x) * y) = u. [para(82(a,1),203(a,1,2))]. 379 L(x,T(y,y \ z),y \ z) = z \ ((y \ z) * (((y \ z) \ z) * x)). [para(94(a,2),82(a,2,2)),flip(a)]. 380 R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)). [hyper(230,a,127,a(flip),b,87,a),flip(a)]. 381 x / a(y,z,(y * z) \ x) = y * (z * ((y * z) \ x)). [hyper(57,a,127,a(flip),b,150,a)]. 382 L(T(x,y),y,x) = T(x,x * y). [hyper(244,a,186,a),flip(a)]. 383 L(T(x,y),y,x) != z | T(x,x * y) = z. [para(186(a,1),244(a,1))]. 384 T(L(x,y,x),y) = T(x,x * y). [hyper(57,a,20,a(flip),b,382,a)]. 385 T((x * y) / x,y * x) = L(y,x,y). [hyper(34,a,210,a,b,384,a)]. 386 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(5(a,1),385(a,1,2))]. 387 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(256(a,2),81(a,1,2))]. 388 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(17(a,1),261(a,1,2,1))]. 389 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(57,a,189,a(flip),b,283,a),flip(a)]. 390 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(283(a,1),241(a,1,2))]. 391 (x / y) * (y * z) != x * u | L(z,y,x / y) = u. [para(284(a,1),37(a,1))]. 392 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(298(a,1),20(a,2,1))]. 393 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(298(a,1),24(a,1,1)),flip(a)]. 394 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(298(a,1),25(a,1,1)),flip(a)]. 395 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(24(a,1),308(a,1,1))]. 396 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(319(a,1),22(a,2,1))]. 397 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(319(a,1),26(a,1,1)),flip(a)]. 398 L(R(x,L(x,y,z) \ u,w),y,z) \ (u * w) = (L(x,y,z) \ u) * w. [para(24(a,1),322(a,1,1))]. 399 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(4(a,1),366(a,2,1)),flip(a)]. 400 T(T((x * y) / (z * y),u),z) = T(R(z \ x,z,y),u). [para(366(a,1),18(a,1,1)),flip(a)]. 401 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(138(a,1),366(a,1,1)),flip(a)]. 402 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(366(a,1),196(a,1,1))]. 403 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(399(a,2),43(a,1)),flip(a)]. 404 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(22(a,1),215(a,1,1))]. 405 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(24(a,1),215(a,1,1))]. 406 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(26(a,1),215(a,1,1))]. 407 R(x,1 / y,y) != z | (x * (1 / y)) * y = z. [para(71(a,1),215(a,1))]. 410 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(25(a,1),219(a,1,2))]. 412 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(5(a,1),295(a,1,2,2))]. 414 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(93(a,1),295(a,1,2,2))]. 415 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(65(a,1),295(a,1,2))]. 416 ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. [para(93(a,1),315(a,1,2))]. 417 L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). [para(90(a,2),355(a,1,1,1))]. 418 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(105,a,356,a),flip(a)]. 419 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(90(a,2),361(a,1,1,1))]. 420 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(363(a,1),200(a,1,1))]. 421 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(222(a,1),363(a,1,1,2)),flip(a)]. 422 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(297(a,1),363(a,1,1,2))]. 423 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [para(4(a,1),364(a,1,1,2,1)),flip(a)]. 424 R(x / y,z,u) != w / y | y * R(y \ x,z,u) = w. [para(364(a,1),40(a,1))]. 426 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(95(a,1),373(a,1,2,1,2)),flip(a)]. 427 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(418(a,1),81(a,1,2))]. 428 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [para(81(a,1),418(a,2,1))]. 429 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(255(a,1),418(a,2,1,2))]. 430 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(298(a,1),418(a,2,1,2))]. 431 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(109,a,423,a)]. 432 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(178(a,1),423(a,2,1,2))]. 434 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(423(a,1),215(a,1,1))]. 435 a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). [para(62(a,1),77(a,1,1)),flip(a)]. 436 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(86(a,2),237(a,1,2))]. 437 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(187(a,1),272(a,1,1,1))]. 438 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(230,a,22,a,b,195,a),flip(a)]. 439 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(205(a,1),307(a,1,1))]. 440 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(257(a,2),81(a,1,2))]. 441 R((x * y) \ x,y,y \ 1) = L(T(1 * (y \ 1),y),y,x). [para(401(a,1),257(a,2,1))]. 442 x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. [para(17(a,1),262(a,1,2,1))]. 443 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(94(a,1),262(a,1,2,1))]. 444 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(283(a,1),262(a,1))]. 445 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(83(a,1),289(a,1,2,1))]. 446 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(222(a,1),289(a,1,2,1))]. 447 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(382(a,1),289(a,1,2,1))]. 448 L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * u),w). [para(81(a,1),300(a,1,1,1)),flip(a)]. 449 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(300(a,2),219(a,1,2))]. 450 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(93(a,1),311(a,1,2))]. 451 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(90(a,1),311(a,1,1,1))]. 452 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(329(a,1),219(a,1,2))]. 453 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(338(a,2),284(a,1,2)),flip(a)]. 454 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(256(a,1),343(a,1,1))]. 455 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(345(a,1),349(a,1,1,1)),flip(a)]. 456 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(351(a,1),328(a,1,2)),flip(a)]. 458 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [para(7(a,1),438(a,1,2,1)),flip(a)]. 459 (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). [para(5(a,1),458(a,1,1,2)),flip(a)]. 460 (x * (y * (x * y))) / (x * y) = L(x * y,y,x). [para(142(a,1),294(a,1,2))]. 461 (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. [para(5(a,1),376(a,1,2,1))]. 462 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(93(a,1),376(a,1,1,2))]. 463 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(93(a,1),376(a,1,2,1))]. 464 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(105,a,426,a)]. 465 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(90(a,2),426(a,1,1,1,2))]. 466 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(371,a,455,a)]. 467 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(3(a,1),456(a,2,2,1))]. 468 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),456(a,2,2,1))]. 470 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(464(a,1),200(a,1,1))]. 471 a(x,x \ y,(x * (x \ y)) \ z) = (x * ((x \ y) * (y \ z))) \ z. [para(5(a,1),78(a,1,1,2,2,1)),flip(a)]. 472 (x * (y * L(y,z,u))) \ ((x * L(y,z,u)) * y) = a(x,L(y,z,u),T(y,L(y,z,u))). [para(142(a,1),184(a,1,2,2))]. 473 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(83(a,1),290(a,1,2,1))]. 474 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(222(a,1),290(a,1,2,1))]. 475 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(334,a,291,a)]. 476 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(177(a,1),291(a,1,2,1))]. 477 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(222(a,1),291(a,1,2,1))]. 478 L(L(L(x,y,z) \ u,w,v5),L(x,y,z),z * y) = L((z * (y * x)) \ ((z * y) * u),w,v5). [para(81(a,1),301(a,2,1,1))]. 479 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [hyper(242,a,312,a)]. 480 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(330(a,1),219(a,1,2))]. 481 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(352(a,1),328(a,1,2)),flip(a)]. 482 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(57,a,20,a(flip),b,377,a)]. 483 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(392(a,1),283(a,1,2)),flip(a)]. 484 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [para(392(a,1),327(a,1,2,2))]. 485 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(396(a,1),308(a,1,1)),flip(a)]. 486 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [hyper(230,a,22,a,b,400,a),flip(a)]. 487 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(57,a,22,a,b,402,a)]. 488 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(432(a,1),89(a,1,1))]. 489 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(4(a,1),487(a,1,1,1)),flip(a)]. 490 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(2(a,1),441(a,2,1,1))]. 491 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(490(a,1),344(a,1,1))]. 492 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(261,a,447,a),flip(a)]. 493 T(x,y) * (x * z) = x * (T(x,y) * z). [para(188(a,1),492(a,1,2)),flip(a)]. 494 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(368,a,493,a)]. 495 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(242,a,493,a),flip(a)]. 496 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(28,a,223,a,b,493,a)]. 497 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(28,a,176,a,b,493,a),flip(a)]. 498 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(7(a,1),493(a,1,2)),flip(a)]. 500 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(93(a,1),493(a,1,2)),flip(a)]. 501 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(95(a,1),493(a,1,1)),flip(a)]. 502 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(101,a,497,a)]. 503 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [para(497(a,1),152(a,1,1))]. 504 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [para(5(a,1),494(a,1,2)),flip(a)]. 505 T(x,y) * (x \ T(z,T(x,y))) = x \ (z * T(x,y)). [para(93(a,1),494(a,1,2)),flip(a)]. 506 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(495(a,1),37(a,1))]. 507 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(390,a,496,a),flip(a)]. 508 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(101,a,504,a)]. 509 T(x,y) \ (x \ z) != u | x \ (T(x,y) \ z) = u. [para(504(a,1),241(a,1,2))]. 511 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(271(a,1),498(a,1,2))]. 512 (T(x,y) \ x) / z != T(x,y) \ 1 | T(x,T(x,y) \ 1) = z. [para(503(a,1),39(a,1)),flip(a)]. 514 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(101,a,453,a)]. 515 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(3(a,1),481(a,2,2,1))]. 516 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(57,a,362,a(flip),b,515,a)]. 517 (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(516(a,1),9(a,2,2,1)),flip(a)]. 518 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(95(a,1),501(a,1,2,1))]. 519 (x \ y) * z != (y / x) * ((x \ y) * u) | (y / x) * u = z. [para(518(a,2),37(a,1)),flip(a)]. 520 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(93(a,1),514(a,1,2))]. 521 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(280,a,520,a)]. 522 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(520(a,1),280(a,1))]. 523 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [para(393(a,1),327(a,1,2,2))]. 524 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [para(394(a,1),327(a,1,2,2))]. 525 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(319(a,1),395(a,1,1,1)),flip(a)]. 526 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(397(a,1),308(a,1,1)),flip(a)]. 527 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(177(a,1),427(a,1,2,1,2))]. 528 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(83(a,1),427(a,1,2,1,2))]. 529 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(222(a,1),427(a,1,2,1,2))]. 530 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(428(a,2),40(a,1))]. 531 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(429(a,1),284(a,1,2)),flip(a)]. 532 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(57,a,437,a(flip),b,450,a),flip(a)]. 534 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(57,a,129,a(flip),b,459,a),flip(a)]. 536 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(258(a,1),479(a,1,1,1))]. 537 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(89(a,1),287(a,1,2))]. 540 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(334,a,440,a)]. 541 (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(81(a,1),440(a,1,1))]. 542 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(374,a,451,a),flip(a)]. 543 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(371,a,451,a)]. 544 (x * T(y,z)) * y = (x * y) * T(y,z). [para(272(a,1),542(a,1,1))]. 545 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(230,a,122,a(flip),b,544,a),flip(a)]. 546 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(29,a,226,a,b,544,a)]. 547 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [para(545(a,1),17(a,2,2))]. 548 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(57,a,126,a(flip),b,546,a),flip(a)]. 549 (x / y) * T(y,x) = (y * x) / y. [para(93(a,1),546(a,1,1)),flip(a)]. 550 ((x * y) / x) / T(x,y) = y / x. [hyper(105,a,549,a)]. 551 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(3(a,1),483(a,2,2,1,2))]. 552 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(521(a,2),551(a,1,2)),flip(a)]. 553 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(57,a,468,a(flip),b,552,a),flip(a)]. 554 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(57,a,466,a(flip),b,552,a)]. 555 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(13(a,2),552(a,2,2,1,2,2))]. 556 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(7(a,1),554(a,1,1,1)),flip(a)]. 557 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(5(a,1),484(a,1,2,2,1,2)),flip(a)]. 558 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(230,a,271,a(flip),b,485,a),flip(a)]. 559 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(2(a,1),485(a,2,1,1,1))]. 560 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(230,a,271,a(flip),b,559,a),flip(a)]. 561 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(271(a,1),560(a,1,1))]. 562 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(420,a,536,a),flip(a)]. 563 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(271(a,1),543(a,2,1))]. 564 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(17(a,2),557(a,1,1))]. 565 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(105,a,558,a)]. 566 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(355(a,1),562(a,1,1))]. 567 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(57,a,446,a(flip),b,563,a)]. 568 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(230,a,271,a(flip),b,565,a),flip(a)]. 569 T(x * L(x \ 1,y,z),x \ u) = (x \ u) \ (u * L(u \ (x \ u),y,z)). [para(566(a,1),17(a,2,2))]. 570 ((x \ y) * (y \ x)) * ((x \ y) \ z) = z * L(z \ ((x \ y) \ z),x \ y,x). [para(253(a,1),566(a,1,1,2))]. 571 L((x \ y) \ (x \ (z * (x \ y))),x \ y,x) * y = (x * T(x \ z,y)) * (x \ y). [hyper(444,a,567,a)]. 572 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),567(a,1,2,2,1,2,2)),flip(a)]. 573 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(83(a,2),567(a,1,2,2,1,2)),flip(a)]. 574 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(93(a,1),568(a,1,1)),flip(a)]. 575 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(572(a,1),244(a,1,2))]. 576 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(353(a,1),185(a,1,1))]. 577 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(430(a,1),283(a,1,2)),flip(a)]. 578 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(302(a,1),475(a,1,2,1))]. 579 (x / 1) * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x). [para(67(a,1),139(a,2,1))]. 580 x * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x). [para(67(a,1),579(a,1,1))]. 581 (x * (y \ z)) * (y \ x) = x * (y \ (z * (y \ x))). [para(67(a,1),580(a,1,2,2,1)),flip(a)]. 582 (x * y) * (x \ (z * (x \ (x * y)))) = ((x * y) * (x \ z)) * y. [hyper(336,a,581,a),flip(a)]. 583 x * (1 \ (y * (1 \ x))) = (x * y) * (1 \ x). [para(59(a,1),581(a,1,1,2)),flip(a)]. 584 x * (1 \ (y * (1 \ x))) = (x * y) * x. [para(59(a,1),583(a,2,2))]. 585 x * (1 \ (y * x)) = (x * y) * x. [para(59(a,1),584(a,1,2,2,2))]. 586 (x * y) * x = x * (y * x). [para(59(a,1),585(a,1,2)),flip(a)]. 587 R(x,y,x) = x. [hyper(314,a,586,a)]. 588 L(x,y,x) = x. [hyper(292,a,586,a)]. 589 T(x * y,x) = y * x. [hyper(191,a,586,a(flip))]. 590 (x \ 1) * x = 1. [hyper(99,a,61,a(flip),b,586,a(flip)),flip(a)]. 591 a(x,y,x) = 1. [hyper(99,a,586,a(flip),b,75,a),flip(a)]. 592 ((x * y) * (x * z)) \ ((x * (y * x)) * z) = a(x * y,x,z). [para(586(a,1),9(a,2,2,1)),flip(a)]. 593 (x * y) * x != x * z | y * x = z. [para(586(a,2),37(a,1))]. 594 x * (y * x) != z * x | x * y = z. [para(586(a,1),38(a,1))]. 595 (x * (y * x)) \ ((x * y) * z) != u | L(x \ z,x,x * y) = u. [para(586(a,1),412(a,1,1))]. 596 R(x,y,R(x,z,u)) = x. [hyper(121,a,587,a)]. 597 R(x,y,L(x,z,u)) = x. [hyper(117,a,587,a)]. 598 R(x,y,T(x,z)) = x. [hyper(115,a,587,a(flip))]. 599 (L(x,y,z) * u) * x = L(x,y,z) * (u * x). [para(587(a,1),312(a,1,1,1)),flip(a)]. 600 R(x,y,x) = L(x,z,x). [hyper(230,a,587,a,b,588,a)]. 601 L(x,y,L(x,z,u)) = x. [hyper(118,a,588,a)]. 602 L(x,y,R(x,z,u)) = x. [hyper(120,a,588,a(flip))]. 603 L(T(x,y),z,x) = T(x,y). [para(588(a,1),20(a,2,1))]. 604 L(R(x,y,z),u,x) = R(x,y,z). [para(588(a,1),24(a,1,1)),flip(a)]. 605 L(L(x,y,z),u,x) = L(x,y,z). [para(588(a,1),25(a,1,1)),flip(a)]. 606 T(x,x * y) = T(x,y). [para(588(a,1),384(a,1,1)),flip(a)]. 607 (x * y) / x = x * (y / x). [para(588(a,1),326(a,1,2))]. 608 x * a(y,z,y) = x. [para(591(a,2),3(a,1,2))]. 609 a(x,y,x) \ z = z. [para(591(a,2),59(a,1,1))]. 610 T(x,a(y,z,y)) = x. [para(591(a,2),161(a,1,2))]. 611 x * a(y,z,y) != u | x = u. [para(591(a,2),104(a,1,2))]. 612 1 / (1 / x) = x. [hyper(248,a,590,a),flip(a)]. 613 1 / x = x \ 1. [hyper(105,a,590,a)]. 614 (x \ 1) \ 1 = x. [hyper(101,a,590,a)]. 615 K(x \ 1,x) = 1. [hyper(99,a,590,a(flip),b,227,a),flip(a)]. 616 T(x \ 1,x) = x \ 1. [para(590(a,1),17(a,2,2))]. 618 (x \ 1) \ 1 != y | x = y. [para(590(a,1),241(a,1,2))]. 619 L(x,y / x,y \ 1) = ((y \ 1) * (y / x)) \ 1. [para(590(a,1),85(a,2,2))]. 620 L(x,y,x) = 1 / (1 / x). [hyper(230,a,588,a,b,612,a)]. 621 x \ 1 != y | 1 / x = y. [para(612(a,1),243(a,1,1))]. 622 L(x \ 1,y,x \ 1) = 1 / x. [hyper(230,a,588,a,b,613,a)]. 623 x \ 1 != y | y \ 1 = x. [para(613(a,1),153(a,1))]. 624 (1 / x) * (x * y) = L(y,x,x \ 1). [para(613(a,1),204(a,2,3))]. 625 x * ((x \ 1) * y) = L(y,1 / x,x). [para(613(a,2),282(a,2,2))]. 626 x \ L(y,1 / x,x) = (x \ 1) * y. [para(613(a,2),328(a,1,2,2))]. 627 R(x,y \ 1,y) / y = x * (1 / y). [para(613(a,1),331(a,1,1,2))]. 628 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(613(a,1),355(a,1,1,1))]. 629 R(x,y,x) = (x \ 1) \ 1. [hyper(230,a,587,a,b,614,a)]. 630 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(614(a,1),175(a,1,2))]. 631 (x \ 1) * R(x,y,z) = x \ R(x,y,z). [para(614(a,1),515(a,1,2,1))]. 632 T(x,K(y \ 1,y)) = x. [para(615(a,2),161(a,1,2))]. 633 K(x,x \ 1) = 1. [para(614(a,1),615(a,1,1))]. 634 K(x,x \ 1) = a(y,z,y). [hyper(230,a,591,a,b,633,a),flip(a)]. 635 T(x,K(y,y \ 1)) = x. [para(633(a,2),161(a,1,2))]. 636 x \ K(y,y \ 1) = 1 / x. [para(633(a,2),613(a,2,2)),flip(a)]. 637 R(x / y,z,y \ x) = x / y. [para(95(a,1),598(a,1,3))]. 638 x * y != x | a(z,u,z) = y. [para(608(a,1),37(a,1)),flip(a)]. 640 L(x,y,x) = a(z,u,z) \ x. [hyper(230,a,588,a,b,609,a)]. 641 a(x,y,x) \ (z * a(u,w,u)) = z. [hyper(230,a,608,a(flip),b,609,a),flip(a)]. 642 a(x,y,x) * z = z * a(x,y,x). [para(610(a,1),93(a,1,2))]. 643 (x * a(y,z,y)) / x = a(y,z,y). [para(610(a,1),152(a,1,2))]. 644 T(x * y,x) = (y * x) * a(z,u,z). [hyper(230,a,608,a,b,589,a),flip(a)]. 645 T(x * y,x) = x * T(y,x). [hyper(230,a,93,a,b,589,a),flip(a)]. 646 T(x * (y / x),x) = y. [hyper(230,a,7,a(flip),b,589,a),flip(a)]. 647 T((x \ y) * x,x \ y) = y. [hyper(230,a,5,a(flip),b,589,a),flip(a)]. 648 x * (T(y,x) / x) = y. [hyper(113,a,589,a),flip(a)]. 649 T(x,y) = (y \ x) * y. [para(5(a,1),589(a,1,1))]. 650 T(T(x * y,z),x) = T(y * x,z). [para(589(a,1),18(a,1,1)),flip(a)]. 651 T(x,y) != z * y | y * z = x. [para(589(a,1),43(a,1)),flip(a)]. 652 T(x * y,y) = T(x,y) * y. [para(93(a,1),589(a,1,1))]. 653 T(x * (y * z),x * y) = L(z,y,x) * (x * y). [para(81(a,1),589(a,1,1))]. 655 T(x * y,z) != u | T(T(y * x,z),y) = u. [para(589(a,1),267(a,1,1))]. 656 T(R(x,y,z) * u,u) = R(T(x,u),y,z) * u. [para(190(a,1),589(a,1,1))]. 657 R(x,y,R(x,z,u)) = R(x,w,x). [hyper(230,a,587,a,b,596,a),flip(a)]. 658 x \ (y * R(x,z,u)) = (x \ y) * R(x,z,u). [para(596(a,1),322(a,1,1))]. 659 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [para(597(a,1),323(a,1,1)),flip(a)]. 660 x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u). [para(597(a,1),322(a,1,1))]. 661 a(L(x,y,z),u,x) = 1. [hyper(47,a,601,a)]. 662 L(T(x,y),z,L(x,u,w)) = T(x,y). [para(601(a,1),20(a,2,1))]. 663 L(L(x,y,z),u,L(x,w,v5)) = L(x,y,z). [para(601(a,1),25(a,1,1)),flip(a)]. 664 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [para(601(a,1),328(a,1,2)),flip(a)]. 665 (L(x,y,z) * u) / x = L(x,y,z) * (u / x). [para(601(a,1),326(a,1,2))]. 666 L(x,y,z) \ (u * x) = (L(x,y,z) \ u) * x. [para(601(a,1),327(a,1,2,2))]. 667 L(x,y,R(x,z,u)) = L(x,w,x). [hyper(230,a,588,a,b,602,a),flip(a)]. 668 (R(x,y,z) \ 1) * x = R(x,y,z) \ x. [para(602(a,1),328(a,1,2)),flip(a)]. 669 R(T(x,x * y),z,T(x,x * y)) = T(x,y). [hyper(57,a,587,a,b,606,a)]. 670 T(x,x \ y) = T(x,y). [para(5(a,1),606(a,1,2)),flip(a)]. 671 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(57,a,589,a(flip),b,632,a),flip(a)]. 672 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(632(a,1),216(a,1,2))]. 673 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(57,a,589,a(flip),b,635,a),flip(a)]. 674 T((x * y) / x,z) = x * (T(y,z) / x). [hyper(278,a,646,a)]. 675 T(x,y) != z | y * (z / y) = x. [para(646(a,1),43(a,1)),flip(a)]. 676 (x * y) / x != z | x * (y / x) = z. [para(646(a,1),238(a,1,1,2))]. 677 T(x,y) / y = y \ x. [hyper(101,a,648,a),flip(a)]. 678 x \ y != z | T(y,x) / x = z. [para(648(a,1),241(a,1,2))]. 679 (x \ (y / x)) \ (x \ y) = x. [hyper(273,a,649,a)]. 680 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(57,a,146,a(flip),b,649,a),flip(a)]. 681 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(57,a,145,a(flip),b,649,a),flip(a)]. 682 (x \ T(x,y)) * x = T(x,y). [hyper(57,a,144,a(flip),b,649,a),flip(a)]. 683 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(57,a,142,a(flip),b,649,a),flip(a)]. 684 (x \ y) \ T(y,x) = x. [hyper(101,a,649,a(flip))]. 685 T(x \ y,x) = x \ T(y,x). [para(649(a,2),17(a,2,2))]. 686 T(x,y) != z * y | y \ x = z. [para(649(a,2),38(a,1))]. 687 T(x,(y \ x) * y) = x. [para(649(a,1),143(a,1,2))]. 688 L(x \ 1,x,x \ y) = T(y,x) \ (x \ y). [para(649(a,2),177(a,2,1))]. 690 (T(x,y) * z) / a(y \ x,y,z) = (y \ x) * (y * z). [para(649(a,2),150(a,1,1,1))]. 691 ((x \ y) * z) \ T(y,x) != u | L(z \ x,z,x \ y) = u. [para(649(a,2),412(a,1,2))]. 692 ((x \ y) * z) \ (T(y,x) * (x \ z)) = a(x \ y,x,x \ z). [para(649(a,2),76(a,1,2,1))]. 693 T(x,y) = (x \ y) \ y. [hyper(275,a,670,a),flip(a)]. 694 T(x,x \ T(x,y)) = x. [hyper(230,a,143,a(flip),b,670,a),flip(a)]. 695 T(x / y,x) = y \ x. [hyper(57,a,229,a(flip),b,670,a),flip(a)]. 696 (x \ y) * T(x,y) = y. [para(670(a,1),179(a,1,2))]. 697 x / T(y,x) = y \ x. [para(670(a,1),208(a,1,2))]. 699 (x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y). [para(670(a,1),190(a,1,2,1))]. 700 T(x,y) / y = (y \ x) * a(z,u,z). [hyper(230,a,608,a,b,677,a),flip(a)]. 701 L(T(x,y),z,u) / y = y \ L(x,z,u). [para(20(a,2),677(a,1,1))]. 702 R(T(x,y),z,u) / y = y \ R(x,z,u). [para(22(a,2),677(a,1,1))]. 704 x / T(x,y) = T(x,y) \ x. [para(143(a,1),677(a,1,1))]. 705 x / R(x,y,z) = R(x,y,z) \ x. [para(141(a,1),677(a,1,1))]. 706 x / L(x,y,z) = L(x,y,z) \ x. [para(142(a,1),677(a,1,1))]. 707 (x \ y) / x = x \ (y / x). [para(95(a,1),677(a,1,1))]. 708 T(x,y) / x = x \ T(x,y). [para(144(a,1),677(a,1,1))]. 709 (x \ y) * x != z | T(y,x) = z. [para(677(a,1),200(a,1,1))]. 710 L(x,y,z) / x = x \ L(x,y,z). [para(145(a,1),677(a,1,1))]. 711 R(x,y,z) / x = x \ R(x,y,z). [para(146(a,1),677(a,1,1))]. 712 T(x,y) / (x * y) = (x * y) \ x. [para(606(a,1),677(a,1,1))]. 713 (L(x,y,z) \ x) \ x = L(x,y,z). [para(142(a,1),684(a,1,2))]. 714 (x \ L(x,y,z)) \ L(x,y,z) = x. [para(145(a,1),684(a,1,2))]. 715 T(x \ y,y) = T(x,y) \ y. [para(693(a,2),693(a,2,1))]. 716 L(x \ y,z,x \ y) = T(y / x,y). [hyper(230,a,588,a,b,695,a)]. 717 x * ((y \ x) / x) = x / y. [hyper(34,a,646,a,b,695,a)]. 718 (x \ y) / y = y \ (y / x). [para(695(a,1),677(a,1,1))]. 719 (x \ (x / y)) \ (y \ x) = x. [para(695(a,1),684(a,1,2))]. 720 (x \ y) \ y != z | T(x,y) = z. [para(696(a,1),241(a,1,2))]. 721 (x \ ((y \ x) * y)) * x = (y \ x) * y. [para(687(a,1),696(a,1,2))]. 722 x / T(y \ x,x) = T(y,x). [hyper(230,a,693,a,b,697,a),flip(a)]. 723 T(x,y) / y = x / T(y,x). [hyper(230,a,677,a,b,697,a)]. 724 x / L(T(y,x),z,u) = L(y,z,u) \ x. [para(20(a,2),697(a,1,2))]. 725 x / (x \ y) = (y / x) \ x. [para(95(a,1),697(a,1,2))]. 726 x / (y * x) = (x * y) \ x. [para(589(a,1),697(a,1,2))]. 727 (x * (y / x)) \ x = x / y. [para(646(a,1),697(a,1,2)),flip(a)]. 729 T(x,y) != z | T(x,x * y) = z. [para(603(a,1),383(a,1))]. 730 L(x \ y,z,y / x) = T(y / x,y). [para(695(a,1),603(a,1,1))]. 732 (x * (1 / x)) * x = (x \ 1) \ 1. [hyper(407,a,629,a)]. 734 R((x * y) / x,z,u) = x * (R(y,z,u) / x). [hyper(57,a,423,a,b,607,a)]. 735 ((x * L(x \ 1,y,z)) * (x \ u)) / u = u * (L(u \ (x \ u),y,z) / u). [para(566(a,2),607(a,1,1))]. 736 K(x,x \ 1) = y * (1 / y). [hyper(110,a,636,a),flip(a)]. 738 T(x * y,x) != z | y * x = z. [para(645(a,2),216(a,1))]. 739 T(T(x,y),y \ x) = x. [para(649(a,2),647(a,1,1))]. 740 T(T(x,y \ x),y) = x. [hyper(267,a,739,a)]. 742 T(x \ y,x \ (y / x)) = y / x. [para(95(a,1),739(a,1,1))]. 743 T(x,y \ x) = (y * x) / y. [para(739(a,1),209(a,1,1,2)),flip(a)]. 744 T(x,y \ z) != T(z,u) | T(T(z,y),u) = x. [para(739(a,1),114(a,1,1)),flip(a)]. 745 T(x,y) != z | T(z,y \ z) = x. [para(739(a,1),114(a,1)),flip(a)]. 746 L(T(x,y \ x),z,u) * y = y * L(x,z,u). [para(739(a,1),354(a,1,2,1)),flip(a)]. 747 T(x,(y \ x) \ x) = T(x,y). [hyper(34,a,739,a,b,740,a),flip(a)]. 748 T(x,y \ x) = y * (x / y). [hyper(34,a,646,a,b,740,a),flip(a)]. 749 (x * y) / x != z | T(y,x \ y) = z. [para(740(a,1),238(a,1,1,2))]. 750 (x * T(y,z)) \ (x * T(y * z,z)) = L(z,T(y,z),x). [para(652(a,2),13(a,2,2,2)),flip(a)]. 751 (R(T(x,y),y,z) * y) \ (T(x * y,y) * z) = L(z,y,R(T(x,y),y,z)). [para(652(a,2),309(a,1,2,1))]. 752 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(682(a,1),13(a,2,1)),flip(a)]. 753 T(x \ L(x,y,z),x) = x \ L(x,y,z). [para(145(a,1),685(a,2,2))]. 754 R(T(x / y,T(z,y)),y,T(y \ z,y)) = T(z,y) \ (x * (y \ T(z,y))). [para(685(a,2),534(a,1,3))]. 755 T(x \ (x / y),x) = x \ (y \ x). [para(695(a,1),685(a,2,2))]. 756 x / (x / y) = x * (y / x). [para(72(a,1),717(a,1,2,1)),flip(a)]. 757 T(T(x \ (x / y),z),x) = T(x \ (y \ x),z). [para(718(a,1),196(a,1,1,1))]. 758 (a(x,y,z) \ ((x * y) * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [para(150(a,1),718(a,2,2))]. 759 T(x,(y * x) / y) = x. [para(743(a,1),143(a,1,2))]. 760 ((x * y) / x) / y = y \ ((x * y) / x). [para(759(a,1),697(a,1,2))]. 761 T(x,x / y) = T(x,y \ x). [para(72(a,1),747(a,1,2,1)),flip(a)]. 762 T(x,T(y,x)) = T(x,y). [para(693(a,2),747(a,1,2))]. 763 T(x * y,T(x,x * y)) = y * x. [hyper(230,a,589,a(flip),b,762,a),flip(a)]. 764 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(762(a,1),20(a,1,1)),flip(a)]. 765 T(x,y / x) = T(x,x \ y). [para(95(a,1),762(a,1,2)),flip(a)]. 766 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(762(a,1),190(a,1,2,1))]. 767 T(x,x * (y / x)) = T(x,y). [para(646(a,1),762(a,1,2)),flip(a)]. 768 T(x,(x \ y) * x) = T(x,y). [para(649(a,1),762(a,1,2))]. 769 T(x \ y,T(y,x)) = T(x \ y,y). [para(739(a,1),762(a,1,2)),flip(a)]. 770 T(x * y,y) = x * ((x * y) / x). [para(4(a,1),748(a,1,2))]. 771 T((x * y) * z,(y * z) \ ((x * y) * z)) = (y * z) * R(x,y,z). [para(15(a,2),748(a,2,2))]. 772 T(x,y \ x) \ (y * z) != u | L((x / y) \ z,x / y,y) = u. [para(748(a,2),412(a,1,1))]. 773 x / y != x * (z / x) | x / z = y. [para(756(a,1),39(a,1)),flip(a)]. 774 x * ((y * (x / y)) \ y) = x / (x / y). [para(727(a,2),756(a,2,2)),flip(a)]. 775 T(x,x / (y * x)) = T(x,x / (x * y)). [para(726(a,2),761(a,2,2)),flip(a)]. 776 T(x,y / x) = T(x,y). [hyper(230,a,670,a(flip),b,765,a),flip(a)]. 777 T(x,y / x) = (x \ y) \ y. [hyper(230,a,94,a(flip),b,765,a),flip(a)]. 778 T(x,y * x) = T(x,y). [para(6(a,1),776(a,1,2)),flip(a)]. 779 T(x,y) = (x \ (y * x)) \ (y * x). [hyper(57,a,693,a(flip),b,778,a),flip(a)]. 780 T(L(x,y,z),u / x) = L((x \ u) \ u,y,z). [para(777(a,1),20(a,1,1)),flip(a)]. 781 L(R(x,y,x),z,x) = x. [hyper(230,a,587,a(flip),b,604,a),flip(a)]. 782 x * (y * T(R(x,z,u),x * y)) = R(x,z,u) * (x * y). [para(604(a,1),353(a,2,1))]. 783 R(L(x,y,x),z,x) = x. [hyper(57,a,24,a,b,781,a)]. 784 x \ ((x * y) * x) = y * R(x,z,x). [para(781(a,1),220(a,1,2,2))]. 785 (x * (y * x)) / x = L(x,z,x) * y. [para(783(a,1),224(a,1,1,1))]. 786 (x * y) / L(x,z,u) = x * (y / L(x,z,u)). [para(605(a,1),326(a,1,2))]. 787 (x * y) * L(L(x,z,u),w,v5) != v6 | x * (y * L(L(x,z,u),w,v5)) = v6. [para(605(a,1),410(a,1,2,1))]. 788 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(635(a,1),651(a,1)),flip(a)]. 789 R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,v5,v6)). [para(667(a,1),24(a,1,1))]. 790 x \ y != z | T(y / x,y) = z. [para(72(a,1),720(a,1,1))]. 791 T(x,x \ y) != z | T(x,y) = z. [para(94(a,2),720(a,1))]. 793 T(x,y) != z | (y \ x) * y = z. [para(5(a,1),738(a,1,1))]. 795 T(x * (y * z),x * y) != u | L(z,y,x) * (x * y) = u. [para(81(a,1),738(a,1,1))]. 796 T(L(x,y \ 1,y),y) != z | ((y \ 1) * x) * y = z. [para(282(a,1),738(a,1,1))]. 798 a(x,y,x) * z = z * a(u,w,u). [hyper(110,a,641,a)]. 799 a(x,y,x) \ z != u | u * a(w,v5,w) = z. [para(641(a,1),41(a,1)),flip(a)]. 800 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(793,a,650,a)]. 801 T(T(L(x,y \ 1,y),z),y) = T(((y \ 1) * x) * y,z). [para(282(a,1),650(a,1,1,1))]. 802 x / T(y * x,z) = T(x * y,z) \ x. [para(650(a,1),697(a,1,2))]. 803 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(650(a,1),685(a,2,2))]. 804 (L(x,y,z) * u) / T(x,w) = L(x,y,z) * (u / T(x,w)). [para(662(a,1),326(a,1,2))]. 805 L(x,y,z) / x != u | x \ L(x,y,z) = u. [para(681(a,1),235(a,1,1))]. 808 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(711(a,1),320(a,1,1))]. 809 T(x,y) / (x * y) = x / (y * x). [hyper(230,a,726,a,b,712,a),flip(a)]. 810 a(x,y,x) = L(z,u,z) \ z. [hyper(33,a,640,a(flip),b,713,a)]. 812 T(x * y,T(x,y)) = y * x. [para(606(a,1),763(a,1,2))]. 813 T(x,y) * y = x * ((x * y) / x). [hyper(57,a,652,a(flip),b,770,a)]. 814 x \ (x * ((x * y) / x)) = (x \ 1) * T((x \ 1) \ y,y). [para(770(a,1),456(a,2,2)),flip(a)]. 815 T(x * y,y) \ x = x / (x * y). [para(770(a,2),727(a,1,1))]. 816 T(x,y) \ (x * y) = T(y,x). [para(17(a,2),779(a,2,1)),flip(a)]. 817 T(x,y) * T(y,x) = x * y. [hyper(110,a,816,a)]. 818 x * (T(x,y) \ y) = T(y,x). [hyper(57,a,496,a(flip),b,816,a)]. 819 T(x,x \ y) \ y = T(x \ y,x). [para(5(a,1),816(a,1,2))]. 820 T(x,y) * (x \ T(y,x)) = y. [hyper(506,a,817,a)]. 821 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(817(a,1),9(a,2,1,2)),flip(a)]. 822 ((x * T(y,z)) * T(z,y)) / (y * z) = R(x,T(y,z),T(z,y)). [para(817(a,1),15(a,2,2)),flip(a)]. 823 T(x,y) * (y * x) = x * (x * y). [para(817(a,1),500(a,1,2)),flip(a)]. 824 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(230,a,762,a,b,818,a),flip(a)]. 825 T(x,y) \ y = x \ T(y,x). [hyper(101,a,818,a),flip(a)]. 826 x * T(x \ y,y) = T(y,x). [para(715(a,2),818(a,1,2))]. 827 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(767(a,1),820(a,1,1))]. 828 T(x \ y,x) = T(x,y) \ y. [hyper(230,a,685,a,b,825,a)]. 829 T((x * y) \ x,x * y) = (y * x) \ x. [para(589(a,1),828(a,2,1))]. 830 x \ (T(x,y) * y) = (x * y) / x. [hyper(101,a,813,a(flip))]. 832 T(T(x,y) * y,x) = x * y. [para(813(a,2),646(a,1,1))]. 834 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(95(a,1),824(a,1,2,1))]. 835 x * y != z * x | (x \ z) * x = y. [para(5(a,1),593(a,1,1)),flip(a)]. 836 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(613(a,1),624(a,1,1))]. 837 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [para(627(a,1),95(a,1,1)),flip(a)]. 838 T(x * y,x) = a(z,u,z) * (y * x). [hyper(230,a,798,a,b,644,a),flip(a)]. 839 T(x * y,x) / x = y * a(z,u,z). [para(4(a,1),700(a,2,1))]. 840 x * R(y,z,y) = T(y * x,y). [hyper(244,a,784,a),flip(a)]. 841 (x * y) * a(z,u,z) = x * R(y,w,y). [hyper(230,a,644,a(flip),b,840,a)]. 843 L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(242,a,836,a),flip(a)]. 844 (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). [hyper(230,a,605,a(flip),b,836,a),flip(a)]. 845 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(230,a,603,a(flip),b,836,a),flip(a)]. 846 L(x,y,y \ 1) / (y * x) = y \ 1. [hyper(105,a,836,a)]. 847 (x \ 1) \ L(y,x,x \ 1) = x * y. [hyper(101,a,836,a)]. 848 L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). [para(836(a,1),9(a,2,1)),flip(a)]. 849 L(x,y,y \ 1) \ ((y \ 1) * ((y * x) * z)) = L(z,y * x,y \ 1). [para(836(a,1),13(a,2,1)),flip(a)]. 850 L(T(x,y),y,y \ 1) = (y \ 1) * (x * y). [para(93(a,1),836(a,1,2)),flip(a)]. 851 L(x,y,y \ 1) \ ((y \ 1) * (y * (x * z))) = L(L(z,x,y),y * x,y \ 1). [para(836(a,1),287(a,1,1))]. 852 a(x,y,x) * (z * u) = z * R(u,w,u). [hyper(57,a,840,a,b,838,a),flip(a)]. 853 R(x,y,x) = a(z,u,z) * x. [hyper(28,a,840,a,b,838,a(flip))]. 854 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [para(614(a,1),843(a,2,1))]. 855 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(846(a,1),200(a,1,1))]. 856 (x \ 1) \ L(L(y,x,x \ 1),z,u) = x * L(y,z,u). [para(25(a,1),847(a,1,2))]. 858 L(x,y,y \ 1) * L(L(x,y,y \ 1) \ ((y \ 1) \ L(x,y,y \ 1)),z,u) = ((y \ 1) * L((y \ 1) \ 1,z,u)) * (y * x). [para(847(a,1),566(a,1,2)),flip(a)]. 859 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [para(605(a,1),847(a,1,2))]. 860 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) != w | a(x \ 1,R(x,y,z),u) = w. [para(631(a,1),376(a,1,2,1))]. 861 ((x \ 1) * (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u) != w | a(x \ 1,L(x,y,z),u) = w. [para(659(a,1),376(a,1,2,1))]. 862 (1 / x) * L(x,y,z) = x \ L(x,y,z). [para(613(a,2),659(a,1,1))]. 863 (L(x,y,z) \ 1) * L(x,u,w) = L(x,y,z) \ L(x,u,w). [para(663(a,1),328(a,1,2)),flip(a)]. 864 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * (x * u)) = L(u,x,L(x,y,z) \ 1). [para(664(a,1),13(a,2,1)),flip(a)]. 865 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * u) = L(x \ u,x,L(x,y,z) \ 1). [para(664(a,1),83(a,2,1)),flip(a)]. 866 (x * (L(y,z,u) \ y)) \ ((x * (L(y,z,u) \ 1)) * y) != w | a(x,L(y,z,u) \ 1,y) = w. [para(664(a,1),376(a,1,1,2))]. 867 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(52,a,671,a)]. 868 T(x * (y / x),z) = x * (T(y,z) / x). [para(607(a,1),674(a,1,1))]. 869 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(646(a,1),701(a,1,1,1)),flip(a)]. 870 L(x \ y,z,u) / y = y \ L(y / x,z,u). [para(695(a,1),701(a,1,1,1))]. 871 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [para(649(a,1),702(a,1,1,1))]. 872 K(x \ y,x) * y = (x \ y) * x. [para(80(a,1),721(a,1,1))]. 873 K(x \ y,x) \ ((x \ y) * x) = y. [hyper(101,a,872,a)]. 874 T(x,K(y \ x,y)) = x. [hyper(281,a,873,a)]. 875 T(x * y,K(y,x)) = x * y. [para(4(a,1),874(a,1,2,1))]. 876 K(x,y) = (x * y) / (y * x). [para(875(a,1),228(a,1,2)),flip(a)]. 877 x / ((y \ x) * y) = K(y,y \ x). [hyper(230,a,127,a(flip),b,876,a)]. 878 K(x,y) * (y * x) = x * y. [hyper(108,a,876,a(flip))]. 879 K(x,y) * (y * x) != z | x * y = z. [para(876(a,2),200(a,1,1))]. 880 T(K(x,y),z) * (y * x) = (y * x) * T(K(x,y),z). [para(876(a,2),370(a,1,1,1))]. 881 x * (y * z) != z * y | K(z,y) = x. [para(878(a,1),38(a,1)),flip(a)]. 882 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(81(a,1),878(a,1,2))]. 883 L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). [para(878(a,1),83(a,2,2))]. 884 K(x,x \ y) = y / T(y,x). [para(649(a,2),877(a,1,2)),flip(a)]. 885 T(x,y) / L(x,z,u) = L(x,z,u) \ T(x,y). [para(143(a,1),724(a,1,2,1))]. 886 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(670(a,2),724(a,1,2,1))]. 887 x / L((y \ x) \ x,z,u) = L(y,z,u) \ x. [para(693(a,1),724(a,1,2,1))]. 888 x / L(y \ x,z,u) = L(x / y,z,u) \ x. [para(695(a,1),724(a,1,2,1))]. 889 L(T(x,y \ x),z,u) \ y = y / L(x,z,u). [para(740(a,1),724(a,1,2,1)),flip(a)]. 890 x * (((y * x) / y) / x) = (y * x) / y. [hyper(110,a,760,a(flip))]. 891 T(L(x,y,z),T(u,x)) = T(L(x,y,z),u). [hyper(230,a,20,a(flip),b,764,a),flip(a)]. 892 (x * (y / x)) \ x = y \ (y / (y / x)). [hyper(101,a,774,a),flip(a)]. 893 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(5(a,1),800(a,1,1,2,1)),flip(a)]. 894 T(x * (y / x),z) \ x = x / T(y,z). [para(7(a,1),802(a,1,2,1)),flip(a)]. 895 (x / y) * R(y,z,y) = x * a(u,w,u). [hyper(234,a,841,a),flip(a)]. 897 (x * y) * a(z,u,z) = x * (a(w,v5,w) * y). [para(853(a,1),841(a,2,2))]. 898 a(x,y,x) * (z * u) = z * (a(w,v5,w) * u). [para(853(a,1),852(a,2,2))]. 899 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(101,a,868,a(flip))]. 900 T(x * (1 / x),y) = x * (1 / x). [para(163(a,1),868(a,2,2,1))]. 901 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(868(a,1),93(a,1,2))]. 902 x \ T(x * (y / x),z) != u | T(y,z) / x = u. [para(868(a,2),241(a,1,2))]. 903 T(x * (1 / x),y) != z * (1 / x) | x = z. [para(900(a,2),38(a,1))]. 904 T(x,y) * T(L(y,z,u),x) = L(y,z,u) * T(x,y). [para(891(a,1),93(a,1,2))]. 905 T(x,y) * T(L(y,z,u),x) != w | L(y,z,u) * T(x,y) = w. [para(891(a,1),216(a,1,2))]. 906 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(105,a,893,a(flip))]. 907 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(893(a,2),38(a,1))]. 908 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(893(a,2),235(a,1,1))]. 909 x / T(y \ x,z) = T(x / y,z) \ x. [para(717(a,1),894(a,1,1,1)),flip(a)]. 910 T(x / (x / y),z) \ x = x / T(y,z). [para(756(a,2),894(a,1,1,1))]. 911 (x * y) \ ((y * (z / y)) * x) = L(T(z,x) / y,y,x). [para(899(a,1),269(a,1,1)),flip(a)]. 912 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(153,a,909,a)]. 913 T(x / (x / y),y \ x) = y. [hyper(251,a,910,a),flip(a)]. 914 T(x / (x / y),z) = x / (x / T(y,z)). [hyper(160,a,910,a),flip(a)]. 916 T(x,y \ z) != y | z / (z / y) = x. [para(913(a,1),43(a,1)),flip(a)]. 917 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(69(a,1),912(a,1,1,1,1)),flip(a)]. 918 T(x / (x / (y / z)),z) = x / (x / (z \ y)). [para(95(a,1),914(a,2,2,2))]. 919 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(914(a,2),243(a,1,1))]. 920 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(95(a,1),917(a,2,1,1))]. 921 L(x \ 1,x,x \ (y / x)) = (x \ y) \ (x \ (y / x)). [para(95(a,1),688(a,2,1))]. 922 x != y | y * a(z,u,z) = x. [para(609(a,1),799(a,1))]. 924 L(T(x,y),y,y \ 1) \ T(x,y) = T(x,y) / ((y \ 1) * (x * y)). [para(850(a,1),706(a,1,2)),flip(a)]. 925 L(x,y,z) * (T(u,L(x,y,z)) * x) = (u * L(x,y,z)) * x. [hyper(334,a,599,a),flip(a)]. 926 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(649(a,2),599(a,2,2))]. 927 (L(x \ 1,y,z) \ 1) \ L(x,L(x \ 1,y,z),L(x \ 1,y,z) \ 1) = x * L(x \ 1,y,z). [hyper(57,a,847,a,b,628,a)]. 928 (x \ (y * z)) * L(x,z,y) = x \ (y * (z * x)). [para(81(a,1),660(a,1,2)),flip(a)]. 929 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(607(a,1),734(a,1,1))]. 930 x * (T(y,x) / L(x,z,u)) = (y * x) / L(x,z,u). [para(93(a,1),786(a,1,1)),flip(a)]. 931 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(95(a,1),834(a,2,2))]. 932 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(4(a,1),931(a,1,2,1))]. 933 T(x \ 1,y) != (x \ 1) * z | x * T(x \ 1,y) = z. [para(845(a,1),37(a,1))]. 935 (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. [para(748(a,2),855(a,1,2))]. 936 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [hyper(342,a,869,a)]. 937 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(110,a,869,a),flip(a)]. 938 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(108,a,869,a(flip))]. 939 x * (L(y,z,u) / x) != w | L(x * (y / x),z,u) = w. [para(869(a,1),203(a,1,2))]. 940 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [hyper(108,a,871,a),flip(a)]. 941 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [hyper(30,a,208,a,b,886,a)]. 942 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [hyper(153,a,887,a),flip(a)]. 943 x / T(L(y,z,u),x / y) = L(y,z,u) \ x. [para(780(a,2),887(a,1,2))]. 944 x / (x / L(y \ x,z,u)) = L(x / y,z,u). [hyper(160,a,888,a(flip))]. 945 L((x \ y) / z,z,x) \ (x \ y) = (x \ y) / ((x * z) \ y). [para(222(a,1),888(a,1,2)),flip(a)]. 947 (x * y) * a(z,u,z) = x * (y * a(w,v5,w)). [para(642(a,1),897(a,2,2))]. 948 x \ (a(y,z,y) * u) = a(w,v5,w) * (x \ u). [hyper(368,a,898,a)]. 949 x \ a(y,z,y) = a(u,w,u) * (x \ 1). [hyper(260,a,898,a)]. 950 a(x,y,x) \ (z * u) = z * (a(w,v5,w) \ u). [hyper(28,a,223,a,b,898,a)]. 951 a(x,y,x) * (z * u) = z * (u * a(w,v5,w)). [para(642(a,1),898(a,2,2))]. 952 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(95(a,1),901(a,1,2,2,1)),flip(a)]. 953 (x * (y / (y / (x \ z)))) / x = y / (y / (z / x)). [hyper(211,a,918,a)]. 954 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(920(a,1),93(a,1,2)),flip(a)]. 955 T(x,y) = ((x * y) / x) * (y \ x). [para(4(a,1),932(a,2,2)),flip(a)]. 956 T(x,y) / (y \ x) = (x * y) / x. [hyper(105,a,955,a(flip))]. 957 T(x,x / y) / y = (x * (x / y)) / x. [para(72(a,1),956(a,1,2))]. 958 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(31,a,464,a,b,957,a)]. 959 T(x,y \ x) / y = (x * (x / y)) / x. [para(761(a,1),957(a,1,1))]. 960 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(421(a,2),958(a,1,2))]. 961 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(6(a,1),938(a,1,1,2,1,2))]. 962 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(68(a,1),938(a,1,1,2,1)),flip(a)]. 963 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(4(a,1),940(a,1,1,1)),flip(a)]. 964 (L(x,y,z) \ L(x,u,w)) \ L(x,u,w) = L(x,y,z). [para(714(a,1),942(a,1,1)),flip(a)]. 965 T(x / (x / L(y,z,u)),x / y) = L(y,z,u). [hyper(33,a,910,a,b,943,a(flip))]. 966 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [para(72(a,1),944(a,1,2,2,1)),flip(a)]. 967 R(x,y,a(z,u,z)) = x. [hyper(314,a,947,a)]. 968 L(a(x,y,x),z,u) = a(w,v5,w). [hyper(292,a,947,a)]. 969 (((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z). [hyper(57,a,310,a,b,967,a)]. 970 R(x,y,K(z,z \ 1)) = x. [para(634(a,2),967(a,1,3))]. 971 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(970(a,1),89(a,1,1)),flip(a)]. 972 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(970(a,1),323(a,1,1)),flip(a)]. 973 a(x,y,x) \ (z * u) != z * w | a(v5,v6,v5) \ u = w. [para(950(a,2),37(a,1))]. 974 ((x \ 1) * (x * y)) * x = L(y * x,1 / x,x). [para(626(a,1),961(a,1,1))]. 975 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(962(a,1),81(a,1,2))]. 976 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(341(a,1),962(a,2,1,2))]. 978 T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). [para(965(a,1),18(a,1,1)),flip(a)]. 979 (x \ 1) * K(y,y \ 1) = 1 / x. [hyper(230,a,636,a(flip),b,972,a),flip(a)]. 981 K(x,x \ 1) * (y \ 1) = 1 / y. [hyper(57,a,673,a,b,979,a)]. 982 (1 / x) / L(y,(x \ 1) / y,K(z,z \ 1)) = K(z,z \ 1) * ((x \ 1) / y). [para(981(a,1),326(a,1,1))]. 983 L(x,y,((z \ 1) * (z / x)) \ 1) = x. [para(619(a,1),601(a,1,3))]. 984 L(R(x,y,z),u,R(x,w,v5)) = L(R(x,y,z),v6,x). [hyper(57,a,24,a(flip),b,789,a),flip(a)]. 985 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(69(a,1),902(a,1,2,1,2))]. 986 T(x,y) / L(x,z,u) != w | L(x,z,u) \ T(x,y) = w. [para(683(a,1),908(a,1,1,1))]. 987 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(230,a,625,a,b,974,a),flip(a)]. 988 a(x,y,x) = L(R(z,u,w),v5,z) \ R(z,u,w). [para(984(a,1),810(a,2,1))]. 989 T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y). [para(22(a,1),766(a,1,2))]. 990 T(x,y) * (T(y,x) / x) = x * (y / x). [para(899(a,1),827(a,1,2))]. 991 T(x,y) * (y / T(x,y)) = x * (y / x). [para(723(a,1),990(a,1,2))]. 992 (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. [para(844(a,1),241(a,1,2))]. 993 (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(867(a,2),9(a,2,2,1)),flip(a)]. 994 K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). [hyper(788,a,971,a)]. 995 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(292,a,971,a)]. 996 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [para(979(a,1),971(a,2,2))]. 997 K(x,x \ 1) * (y * (z \ 1)) = y * (1 / z). [hyper(788,a,996,a)]. 998 x * K(y,y \ 1) = z * (1 / (1 / (z \ x))). [para(157(a,1),996(a,1,1))]. 999 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [hyper(191,a,987,a(flip))]. 1000 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(5(a,1),999(a,1,1,2)),flip(a)]. 1001 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [para(7(a,1),999(a,1,1,2))]. 1002 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [hyper(101,a,1000,a)]. 1003 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(673(a,2),994(a,2,2))]. 1004 T(L(T(x,y),z \ 1,z),z) = T(((z \ 1) * x) * z,y). [para(20(a,2),801(a,1,1))]. 1005 (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). [para(843(a,1),856(a,1,2,1))]. 1006 T(x,L(x,y,z) \ u) = T(x,x \ u). [hyper(116,a,941,a)]. 1007 T(x,L(x,y,z) \ u) = T(x,u). [hyper(230,a,670,a(flip),b,1006,a),flip(a)]. 1009 T(x,L(x,y,z) \ u) != w | T(x,u) = w. [para(1006(a,2),791(a,1))]. 1010 T(x,x * (L(x,y,z) \ u)) = T(x,u). [hyper(729,a,1007,a)]. 1011 T(x,L(x,y,z) * u) = T(x,x * u). [para(4(a,1),1010(a,1,2,2)),flip(a)]. 1012 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [para(960(a,1),220(a,1,2))]. 1013 x \ y != z * ((x \ z) / z) | T(z,z / (x * z)) = y. [para(1012(a,1),41(a,1)),flip(a)]. 1014 T(((x \ 1) * y) * x,z) = ((x \ 1) * T(y,z)) * x. [hyper(796,a,1004,a),flip(a)]. 1015 T(((x \ 1) * y) * x,x \ 1) = (y * (x \ 1)) * x. [hyper(230,a,180,a(flip),b,1014,a),flip(a)]. 1016 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(5(a,1),1015(a,1,1,1)),flip(a)]. 1017 T(x * y,y \ 1) / y = ((y \ 1) \ x) * (y \ 1). [hyper(105,a,1016,a)]. 1018 ((x \ 1) \ (y / x)) * (x \ 1) = T(y,x \ 1) / x. [para(7(a,1),1017(a,1,1,1)),flip(a)]. 1019 x * (y * R(T(x,x * y),z,u)) = R(x,z,u) * (x * y). [para(22(a,2),782(a,1,2,2))]. 1020 x \ (x * ((x * y) / x)) = T(y,x \ 1). [hyper(230,a,826,a(flip),b,814,a),flip(a)]. 1021 T(x,y \ 1) = (y * x) / y. [hyper(241,a,1020,a),flip(a)]. 1022 T(x,y \ 1) = T(x,y \ x). [hyper(230,a,743,a,b,1021,a),flip(a)]. 1024 T(x,y \ 1) = y * (x / y). [hyper(230,a,607,a(flip),b,1021,a),flip(a)]. 1025 T(T(x,y),y \ 1) = x. [hyper(230,a,182,a(flip),b,1021,a),flip(a)]. 1026 T(x \ y,x \ 1) = y / x. [hyper(230,a,127,a(flip),b,1021,a),flip(a)]. 1027 T(T(x,y \ 1),y) = x. [hyper(213,a,1021,a),flip(a)]. 1028 T(x,y \ 1) * y = y * x. [hyper(108,a,1021,a(flip))]. 1029 T(x * (y \ 1),y) = (y \ 1) * x. [hyper(651,a,1025,a),flip(a)]. 1030 T((x \ 1) \ y,x) = y / (x \ 1). [hyper(199,a,1025,a),flip(a)]. 1031 T(x,y) * (y \ 1) = (y \ 1) * x. [para(1025(a,1),93(a,1,2)),flip(a)]. 1032 T(x,y) != z | T(z,y \ 1) = x. [para(1025(a,1),114(a,1)),flip(a)]. 1034 T(x * y,y \ 1) = y * x. [para(589(a,1),1025(a,1,1))]. 1035 (x \ 1) \ T(y,x) = y / (x \ 1). [para(1025(a,1),677(a,1,1)),flip(a)]. 1036 T(x \ y,y \ 1) = y / x. [para(695(a,1),1025(a,1,1))]. 1037 T(x,(y \ 1) \ 1) = T(x,y). [para(1025(a,1),1025(a,1,1))]. 1038 (x * y) / x != z | T(y,x \ 1) = z. [para(1027(a,1),238(a,1,1,2))]. 1039 x \ T(y,x \ 1) = y / x. [para(1027(a,1),677(a,1,1)),flip(a)]. 1040 T(x,y \ 1) \ y = y / x. [para(1027(a,1),697(a,1,2)),flip(a)]. 1041 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(230,a,670,a,b,1022,a)]. 1042 (x / T(y,z \ y)) \ x = T(y,z \ 1). [hyper(230,a,72,a,b,1022,a)]. 1043 (x \ 1) * T(y,x \ y) = y * (x \ 1). [para(1022(a,1),93(a,1,2))]. 1044 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(1022(a,2),696(a,1,2))]. 1045 T(x,y \ 1) = y / (y / x). [hyper(230,a,756,a,b,1024,a),flip(a)]. 1046 T((x * y) * z,(y * z) \ 1) = (y * z) * R(x,y,z). [para(15(a,2),1024(a,2,2))]. 1047 (x \ 1) * (y / x) = (x \ y) * (x \ 1). [para(1026(a,1),93(a,1,2))]. 1048 L(x \ y,z,u) * (x \ 1) = (x \ 1) * L(y / x,z,u). [para(1026(a,1),189(a,1,2,1)),flip(a)]. 1049 T((x \ 1) \ (x \ y),x \ 1) = (x \ 1) \ (y / x). [para(1026(a,1),685(a,2,2))]. 1050 ((x * y) * z) \ ((T(z,(x * y) \ 1) * x) * y) = a(T(z,(x * y) \ 1),x,y). [para(1028(a,1),9(a,2,1)),flip(a)]. 1051 T(x \ 1,y * x) = T(x \ 1,x * y). [para(1034(a,1),762(a,1,2)),flip(a)]. 1052 L(T(x \ 1,y \ 1),x,y) = y / (y * x). [hyper(57,a,256,a(flip),b,1036,a)]. 1053 (x \ 1) * (x / y) = (y \ x) * (x \ 1). [para(1036(a,1),93(a,1,2))]. 1054 T(x,1 / y) = T(x,y \ 1). [para(72(a,1),1037(a,1,2,1)),flip(a)]. 1055 T(x,R(y,z,y)) = T(x,y). [para(629(a,2),1037(a,1,2))]. 1056 T(x / y,R(y,z,y)) = y \ x. [hyper(230,a,95,a(flip),b,1055,a),flip(a)]. 1057 T(x,L(y,z,y)) = T(x,y). [para(600(a,1),1055(a,1,2))]. 1058 x * T(y,L(x,z,x)) = y * x. [para(1057(a,2),93(a,1,2))]. 1059 T(x,a(y,z,y) \ u) = T(x,u). [para(640(a,1),1057(a,1,2))]. 1060 T(x,T(y / z,y)) = T(x,z \ y). [para(716(a,1),1057(a,1,2))]. 1061 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(230,a,717,a,b,1039,a),flip(a)]. 1062 x \ ((x \ 1) \ (y * (x \ 1))) = y / x. [para(17(a,1),1039(a,1,2))]. 1063 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(1054(a,1),93(a,1,2))]. 1064 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(1056(a,1),93(a,1,2))]. 1065 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(95(a,1),1058(a,1,2)),flip(a)]. 1066 T(x,y * a(z,u,z)) = T(x,y). [para(641(a,1),1059(a,1,2)),flip(a)]. 1067 T(x,y * (a(z,u,z) \ w)) = T(x,y * w). [para(950(a,1),1059(a,1,2))]. 1068 T(x,T(y * z,y)) = T(x,z * y). [para(644(a,2),1066(a,1,2))]. 1069 T(x,T(y,z) / z) = T(x,z \ y). [para(700(a,2),1066(a,1,2))]. 1070 T(x * ((y * (z \ 1)) / x),z) = x * (((z \ 1) * y) / x). [para(1029(a,1),868(a,2,2,1))]. 1071 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(69(a,1),1060(a,1,2,1)),flip(a)]. 1072 T(x,(y \ z) * y) = T(x,T(z,y)). [para(5(a,1),1068(a,1,2,1)),flip(a)]. 1073 T(x,y \ x) != z | T(x,y \ 1) = z. [para(743(a,2),1038(a,1))]. 1074 ((x * y) \ (y \ (x * y))) * T(x * y,y \ 1) = T(x,y). [hyper(230,a,17,a,b,1044,a),flip(a)]. 1075 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(72(a,1),1044(a,1,2,2))]. 1076 (x \ 1) * (x \ L(x * (y / x),z,u)) = (x \ L(y,z,u)) * (x \ 1). [para(869(a,2),1047(a,1,2))]. 1077 x * ((y \ 1) * (y / z)) = x * ((z \ y) * (y \ 1)). [hyper(52,a,1053,a)]. 1078 R(x,x \ y,y \ 1) = 1 / ((y \ 1) * (y / x)). [para(1053(a,2),380(a,2,2))]. 1079 L(x,y / x,y \ 1) = ((x \ y) * (y \ 1)) \ 1. [para(1053(a,1),619(a,2,1))]. 1080 T(x,x / (y * x)) = T(x,y \ 1). [hyper(1013,a,1061,a)]. 1081 T(x,x / (x * y)) = T(x,y \ 1). [hyper(57,a,775,a(flip),b,1080,a)]. 1082 T(x,y * L(z,u,z)) = T(x,y * z). [para(640(a,2),1067(a,1,2,2))]. 1083 T(x,y * T(z / u,z)) = T(x,y * (u \ z)). [para(716(a,1),1082(a,1,2,2))]. 1084 R(x,y,x) * (x \ z) = z * a(u,w,u). [hyper(230,a,895,a(flip),b,1064,a),flip(a)]. 1085 R(x,y,x) * z = (x * z) * a(u,w,u). [hyper(336,a,1084,a)]. 1087 x \ (R(x,y,x) * z) = a(u,w,u) * z. [hyper(28,a,897,a(flip),b,1084,a),flip(a)]. 1088 a(x,y,x) = (R(z,u,z) * w) / (z * w). [para(1085(a,2),643(a,1,1)),flip(a)]. 1089 a(x,y,x) * (R(z,u,z) \ w) = z \ w. [para(5(a,1),1087(a,1,2)),flip(a)]. 1090 a(x,y,x) = (R(R(z,u,w),v5,R(z,u,w)) * (u * w)) / ((z * u) * w). [para(89(a,1),1088(a,2,2))]. 1091 R(a(x,y,x),z * u,w) = ((R(z,v5,z) * u) * w) / ((z * u) * w). [para(1088(a,2),90(a,1,1))]. 1092 R(x,x \ y,y \ 1) = ((y \ 1) * (y / x)) \ 1. [hyper(230,a,613,a(flip),b,1078,a),flip(a)]. 1093 R(x,x \ y,y \ 1) = L(x,y / x,y \ 1). [hyper(230,a,619,a,b,1092,a),flip(a)]. 1094 R(x,x \ y,y \ 1) \ x = ((((y \ 1) * (y / x)) \ 1) \ 1) * x. [para(1092(a,1),668(a,1,1,1)),flip(a)]. 1095 L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). [para(590(a,1),848(a,1,2,1))]. 1097 L(x / y,y,y \ 1) = x * (y \ 1). [hyper(935,a,1043,a)]. 1098 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(6(a,1),1097(a,1,1)),flip(a)]. 1099 L(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(1097(a,1),20(a,2,1))]. 1100 R(x,y,y \ 1) = L(x,y,y \ 1). [hyper(316,a,1098,a)]. 1101 L(x,y,y \ 1) / (y \ 1) = x * y. [hyper(105,a,1098,a)]. 1103 (x * 1) \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(1098(a,1),76(a,1,2))]. 1104 (1 * (x \ (y * x))) * (x \ 1) = 1 * (x \ L(y,x,x \ 1)). [para(1098(a,1),581(a,2,2,2))]. 1105 (L(x \ 1,y,z) \ (u * x)) * (x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). [para(1098(a,1),666(a,1,2)),flip(a)]. 1106 (x \ 1) * (x * y) = R(y,x,x \ 1). [hyper(230,a,836,a,b,1100,a)]. 1107 (x * y) * (y \ 1) != z | L(x,y,y \ 1) = z. [para(1101(a,1),200(a,1,1))]. 1108 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(3(a,1),1103(a,1,1))]. 1109 x * a(x,y,y \ 1) = L(x,y,y \ 1). [hyper(110,a,1108,a)]. 1110 L(x \ y,z,u) \ L(((x \ 1) * x) \ ((x \ 1) * y),z,u) = a(L(x \ y,z,u),x,x \ 1). [para(301(a,1),1108(a,1,2))]. 1111 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(230,a,1100,a,b,1109,a),flip(a)]. 1112 x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(1109(a,1),241(a,1,2))]. 1113 x \ (y * L(y \ x,z,z \ 1)) != u | L(a(y \ x,z,z \ 1),y \ x,y) = u. [para(1109(a,1),390(a,1,2,2))]. 1114 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [para(1099(a,1),1101(a,1,1))]. 1115 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(230,a,271,a(flip),b,1114,a),flip(a)]. 1116 x * T(x \ ((x \ 1) \ y),z) = (x \ 1) \ T(y,z). [hyper(908,a,1115,a),flip(a)]. 1117 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(606(a,1),1019(a,1,2,2,1))]. 1118 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(190(a,1),1117(a,1,2)),flip(a)]. 1119 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(368,a,1118,a)]. 1120 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(242,a,1118,a),flip(a)]. 1121 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(28,a,223,a,b,1118,a)]. 1122 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(28,a,176,a,b,1118,a),flip(a)]. 1123 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(101,a,1122,a)]. 1124 R(x,x \ y,y \ 1) \ x = x * ((((y \ 1) * (y / x)) \ 1) \ 1). [para(1092(a,1),1122(a,1,2,1)),flip(a)]. 1126 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(160,a,1119,a)]. 1127 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(89(a,1),1119(a,1,2)),flip(a)]. 1128 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [para(1120(a,1),17(a,2,2)),flip(a)]. 1129 (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u). [hyper(160,a,1121,a)]. 1130 R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. [para(1129(a,1),243(a,1,1))]. 1131 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(105,a,1127,a),flip(a)]. 1132 ((x * y) \ T(x,y)) * T(x * y,y \ 1) = T(x,y). [para(17(a,2),1074(a,1,1,2))]. 1133 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(752(a,1),507(a,1,2)),flip(a)]. 1134 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(1133(a,2),37(a,1))]. 1135 L(x,y,z) * u != (w * L(x,y,z)) * x | T(w,L(x,y,z)) * x = u. [para(925(a,1),37(a,1)),flip(a)]. 1136 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(222(a,1),975(a,1,2,1,2))]. 1137 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(976(a,1),328(a,1,2)),flip(a)]. 1138 1 * (x \ L(y,x,x \ 1)) = (1 * T(y,x)) * (x \ 1). [para(17(a,2),1104(a,1,1,2)),flip(a)]. 1139 1 * (x \ L(y,x,x \ 1)) = T(y,x) * (x \ 1). [para(2(a,1),1138(a,2,1))]. 1140 x \ L(y,x,x \ 1) = (x \ 1) * y. [hyper(98,a,1139,a,b,1031,a(flip))]. 1142 L(x,y \ 1,y) = L(x,y,y \ 1). [hyper(348,a,1140,a)]. 1143 L((x \ 1) \ y,x,x \ 1) = x * y. [hyper(240,a,1140,a),flip(a)]. 1144 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(110,a,1140,a)]. 1145 x * ((x \ 1) * y) != z | L(y,x,x \ 1) = z. [para(1140(a,1),203(a,1,2))]. 1146 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ (((x \ 1) * x) \ y). [para(222(a,1),1140(a,1,2)),flip(a)]. 1147 T(L(x,y,y \ 1),y) = ((y \ 1) * x) * y. [para(1140(a,1),649(a,2,1))]. 1148 T((x \ 1) * y,x \ 1) = L(y,x,x \ 1) / x. [para(1140(a,1),1026(a,1,1))]. 1149 x \ L(y,x,x \ 1) != z | (x \ 1) * y = z. [para(1142(a,1),342(a,1,2))]. 1150 L(L((x \ 1) \ y,z,u),x,x \ 1) = L(x * y,z,u). [para(1143(a,1),25(a,1,1)),flip(a)]. 1151 L((x * (y \ 1)) \ z,y,y \ 1) = L(y * (x \ z),y \ 1,x). [para(1143(a,1),330(a,1,1)),flip(a)]. 1152 (x \ 1) \ (x * y) = x * ((x \ 1) \ y). [para(1143(a,1),847(a,1,2))]. 1153 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(1144(a,1),296(a,1))]. 1154 L(x,y,y \ 1) \ (1 * x) = a(y,y \ 1,x). [para(1144(a,1),77(a,1,1))]. 1155 L(x,y,y \ 1) \ (1 * x) != z | a(y,y \ 1,x) = z. [para(1144(a,1),461(a,1,1))]. 1156 L(T(x,y),y,y \ 1) = ((y \ 1) * x) * y. [hyper(57,a,20,a,b,1147,a)]. 1157 ((x \ 1) * y) * x = (x \ 1) * (y * x). [hyper(57,a,850,a(flip),b,1156,a),flip(a)]. 1158 R(x \ 1,y,x) = x \ 1. [hyper(314,a,1157,a)]. 1159 L(x,y,x \ 1) = x. [hyper(292,a,1157,a)]. 1160 T(((x \ 1) * y) * x,z) = (x \ 1) * (T(y,z) * x). [hyper(57,a,1014,a,b,1157,a)]. 1161 L(x,y,L(x,z,u) \ 1) = x. [hyper(118,a,1159,a)]. 1162 L(L(x,y,z),u,x \ 1) = L(x,y,z). [para(1159(a,1),25(a,1,1)),flip(a)]. 1163 (x \ 1) * (T(y,x \ 1) * L(x,z,u)) = (y * (x \ 1)) * L(x,z,u). [para(1159(a,1),475(a,1,2,1)),flip(a)]. 1164 L(x \ 1,y,x) = x \ 1. [para(614(a,1),1159(a,1,3))]. 1165 (L(x \ 1,y,z) * u) * x = L(x \ 1,y,z) * (u * x). [para(1158(a,1),312(a,1,1,1)),flip(a)]. 1166 L(T(x \ 1,y),z,x) = T(x \ 1,y). [para(1164(a,1),20(a,2,1))]. 1167 L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z). [para(1164(a,1),25(a,1,1)),flip(a)]. 1168 (x * y) * (x \ 1) = x * (y * (x \ 1)). [para(1164(a,1),81(a,1,2))]. 1169 (x * y) * (x \ 1) != z | x * (y * (x \ 1)) = z. [para(1164(a,1),219(a,1,2))]. 1170 (L(x,y,z) \ 1) * (u * T(x,(L(x,y,z) \ 1) * u)) = x * ((L(x,y,z) \ 1) * u). [para(1161(a,1),353(a,2,1))]. 1171 L(x,y,z) / (x \ 1) = L(x,y,z) * x. [para(1162(a,1),1101(a,1,1))]. 1172 L(T(T(x \ 1,y),z),u,x) = T(T(x \ 1,y),z). [para(1166(a,1),20(a,2,1))]. 1173 R(x,y,x \ 1) = x. [hyper(314,a,1168,a)]. 1174 R(x,y,L(x,z,u) \ 1) = x. [hyper(117,a,1173,a)]. 1175 (L(x,y,z) * u) * (x \ 1) = L(x,y,z) * (u * (x \ 1)). [para(1173(a,1),312(a,1,1,1)),flip(a)]. 1176 (x * y) * (L(x,z,u) \ 1) = x * (y * (L(x,z,u) \ 1)). [para(1174(a,1),89(a,1,1)),flip(a)]. 1177 L(x,y,z) / (x \ 1) = x * L(x,y,z). [hyper(230,a,192,a(flip),b,1171,a),flip(a)]. 1178 L((x * y) \ x,z,y) = L(y \ 1,y,x). [para(177(a,1),1167(a,1,1))]. 1179 L(L(T(x * y,x) \ y,T(x * y,x),x),z,x) = L(x \ 1,x,x * y). [para(302(a,2),1178(a,1,1))]. 1180 a(x \ 1,x,y) = a(x,x \ 1,y). [hyper(57,a,1095,a(flip),b,1154,a)]. 1181 L(x,y,y \ 1) \ x = a(y,y \ 1,x). [para(2(a,1),1154(a,1,2))]. 1182 L(x,y,y \ 1) / y = x * (y \ 1). [hyper(738,a,1148,a),flip(a)]. 1183 L(x / (y \ 1),y,y \ 1) = x * y. [hyper(233,a,1182,a),flip(a)]. 1184 (x * (y \ 1)) * y = L(x,y,y \ 1). [hyper(108,a,1182,a)]. 1185 L(L(x,y,y \ 1),z,u) / y = L(x,z,u) * (y \ 1). [para(25(a,1),1182(a,1,1))]. 1186 x * (R(L(y,x,x \ 1),z,u) / x) = R(x * (y * (x \ 1)),z,u). [para(1182(a,1),929(a,1,1,2)),flip(a)]. 1187 x * (L(L(y,x,x \ 1),z,u) / x) = L(x * (y * (x \ 1)),z,u). [para(1182(a,1),937(a,1,1,2)),flip(a)]. 1188 (x * (y \ 1)) / y = (x / y) * (y \ 1). [para(1097(a,1),1182(a,1,1))]. 1189 (x * (y \ 1)) * y = L(x,y \ 1,y). [hyper(230,a,1142,a,b,1184,a),flip(a)]. 1191 (x * y) * L(T(T(x \ 1,z),u),w,v5) != v6 | x * (y * L(T(T(x \ 1,z),u),w,v5)) = v6. [para(1172(a,1),410(a,1,2,1))]. 1192 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(1157(a,1),1160(a,1,1))]. 1193 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(1192(a,2),37(a,1))]. 1194 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(1150(a,1),1140(a,1,2)),flip(a)]. 1195 L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z. [para(2(a,1),1155(a,1,2))]. 1196 a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. [para(1095(a,1),1155(a,1))]. 1197 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ (1 \ y). [para(590(a,1),1146(a,2,2,1))]. 1198 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. [para(59(a,1),1197(a,2,2))]. 1200 (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(101,a,1198,a)]. 1202 (x \ ((x \ 1) \ y)) \ (x \ y) = T(x \ 1,x \ y). [para(1200(a,1),693(a,2,1)),flip(a)]. 1203 T(x \ ((x \ 1) \ y),x \ 1) = (x \ 1) \ (y / x). [para(1200(a,1),1049(a,1,1))]. 1204 (x / y) / (y \ 1) = y \ ((y \ 1) \ x). [hyper(199,a,1203,a)]. 1205 ((x \ 1) \ y) / x = (x \ 1) \ (y / x). [hyper(57,a,1026,a(flip),b,1203,a)]. 1206 (x \ ((x \ 1) \ y)) \ (y / x) = x \ 1. [hyper(153,a,1204,a)]. 1207 L(x,y,L(x \ 1,z,u)) = x. [hyper(292,a,1165,a)]. 1208 L(x \ y,z,y \ x) = x \ y. [para(253(a,1),1207(a,1,3))]. 1209 L(x,y,z \ (z / x)) = x. [para(255(a,1),1207(a,1,3))]. 1210 L(x \ 1,y,z) \ (u * x) = (L(x \ 1,y,z) \ u) * x. [para(1207(a,1),327(a,1,2,2))]. 1211 L(x \ 1,y,L(x,z,u)) = x \ 1. [para(614(a,1),1207(a,1,3,1))]. 1212 L(L(x,y,z) \ 1,u,L(L(x,w,v5),y,z)) = L(x,y,z) \ 1. [para(25(a,1),1211(a,1,3))]. 1213 L(L(x,y,z) \ 1,u,x) = L(x,y,z) \ 1. [hyper(292,a,1176,a)]. 1214 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(3(a,1),1194(a,2,2,1))]. 1215 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(222(a,1),1194(a,1,2)),flip(a)]. 1216 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(443,a,1214,a)]. 1217 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(101,a,1216,a)]. 1218 L(x,y,z) \ u != x \ 1 | x \ L(x,y,z) = u. [para(1217(a,1),41(a,1)),flip(a)]. 1219 ((x * y) * (x \ z)) * y = (x * y) * (x \ (z * y)). [para(4(a,1),582(a,1,2,2,2)),flip(a)]. 1220 x \ ((y * x) * (y \ (z * x))) = T((y * x) * (y \ z),x). [para(1219(a,1),17(a,2,2)),flip(a)]. 1222 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [para(808(a,2),95(a,1,1))]. 1223 T((x * y) * z,R(T(x,y * z),y,z)) = (y * z) * R(x,y,z). [para(438(a,1),771(a,1,2))]. 1224 T(x,y) / ((y \ 1) * (x * y)) = ((y \ 1) * (x * y)) \ T(x,y). [para(850(a,1),924(a,1,1)),flip(a)]. 1225 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(v5,v6,v5)) = R(x,y,z). [para(947(a,1),969(a,1,1))]. 1226 R(x,x \ y,y \ 1) \ x = ((y \ 1) * (y / x)) * x. [para(614(a,1),1094(a,2,1))]. 1227 R(x,x \ y,y \ 1) \ x = x * ((y \ 1) * (y / x)). [para(614(a,1),1124(a,2,2))]. 1228 ((x \ 1) * (x / y)) * y = y * ((x \ 1) * (x / y)). [hyper(57,a,1226,a(flip),b,1227,a)]. 1229 L(x,y / x,y \ 1) \ x = x * ((y \ 1) * (y / x)). [para(1093(a,1),1227(a,1,1))]. 1230 L(x,(y \ 1) * (y / x),((y \ 1) * (y / x)) \ 1) / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1. [para(1228(a,1),846(a,1,2))]. 1231 ((x \ y) * (y \ 1)) * x = x * ((y \ 1) * (y / x)). [para(1053(a,1),1228(a,1,1))]. 1232 (((x \ y) * (y \ 1)) \ 1) \ x = x * ((y \ 1) * (y / x)). [para(1079(a,1),1229(a,1,1))]. 1233 x * (L(R(y,z,u),x,x \ 1) / x) = R(x * (y * (x \ 1)),z,u). [para(24(a,1),1186(a,1,2,1))]. 1234 L(x * (y * (x \ 1)),z,u) = x * (L(y,z,u) * (x \ 1)). [para(1185(a,1),1187(a,1,2)),flip(a)]. 1235 ((x * y) * (z * a(u,w,u))) / (y * (z * a(v5,v6,v5))) = R(x,y,z). [para(947(a,1),1225(a,1,2))]. 1237 R(x * (y * (x \ 1)),z,u) = x * (R(y,z,u) * (x \ 1)). [para(1182(a,1),1233(a,1,2)),flip(a)]. 1238 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(101,a,1237,a(flip))]. 1239 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(315,a,1235,a)]. 1240 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(470,a,488,a)]. 1241 ((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(89(a,1),488(a,1,2))]. 1242 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(3(a,1),523(a,1,2,2,1,2)),flip(a)]. 1243 ((x * y) \ x) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). [para(4(a,1),1242(a,2,2,2,1))]. 1244 (x \ y) * L((x \ y) \ 1,z,z \ 1) = x \ (y * R(y \ x,z,z \ 1)). [para(1100(a,1),1242(a,1,2))]. 1245 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(3(a,1),524(a,1,2,2,1,2)),flip(a)]. 1246 ((x * y) \ x) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(4(a,1),1245(a,2,2,2,1))]. 1247 (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(13(a,2),1245(a,1,1)),flip(a)]. 1248 ((x \ y) \ (x \ (y / x))) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). [para(679(a,1),1245(a,2,2,2,1))]. 1249 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(230,a,355,a(flip),b,525,a),flip(a)]. 1250 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(2(a,1),526(a,2,1,1,1))]. 1251 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(230,a,361,a(flip),b,1250,a),flip(a)]. 1252 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(361(a,1),1251(a,1,1))]. 1253 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(105,a,1252,a),flip(a)]. 1254 (((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(15(a,2),1253(a,1,1)),flip(a)]. 1255 (x / (y * x)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(17(a,2),1253(a,2,1,2,1))]. 1256 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(57,a,958,a(flip),b,527,a),flip(a)]. 1257 (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(81(a,1),527(a,1,1))]. 1258 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(101,a,1256,a)]. 1259 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [para(1081(a,1),1258(a,1,2)),flip(a)]. 1260 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(101,a,531,a)]. 1261 (x \ 1) * ((x \ 1) * L((x \ 1) \ (y / x),z,u)) = (x \ L(y,z,u)) * (x \ 1). [para(1194(a,2),1076(a,1,2))]. 1262 a(x,y,x) = ((R(z,u,R(z,w,v5)) * w) * v5) / ((z * w) * v5). [para(313(a,1),1090(a,2,1))]. 1263 a(x,y,x) = ((R(z,u,z) * w) * v5) / ((z * w) * v5). [para(657(a,1),1262(a,2,1,1,1))]. 1264 R(a(x,y,x),z * u,w) = a(v5,v6,v5). [hyper(230,a,1091,a,b,1263,a)]. 1267 R(a(x,y,x),z,u) = a(w,v5,w). [para(2(a,1),1264(a,1,2))]. 1269 a(x,y,x) * (z * u) = (a(w,v5,w) * z) * u. [para(1267(a,1),89(a,1,1))]. 1270 a(x,y,x) \ (z * u) = (a(w,v5,w) \ z) * u. [para(1267(a,1),322(a,1,1))]. 1271 (a(x,y,x) * z) \ (a(u,w,u) * v5) = z \ v5. [hyper(368,a,1269,a)]. 1272 L(x,y,a(z,u,z)) = x. [hyper(292,a,1269,a(flip))]. 1273 (a(x,y,x) * (z * (u * w))) \ (((a(v5,v6,v5) * z) * u) * w) = a(a(v5,v6,v5) * z,u,w). [para(1269(a,2),9(a,2,1)),flip(a)]. 1274 (a(x,y,x) * (z * u)) \ ((a(w,v5,w) * z) * (u * v6)) = L(v6,u,a(w,v5,w) * z). [para(1269(a,2),13(a,2,1)),flip(a)]. 1275 R(a(x,y,x) * z,u,w) = ((a(v5,v6,v5) * (z * u)) * w) / (u * w). [para(1269(a,2),15(a,2,1,1))]. 1276 a(x,y,x) * (z * u) = (z * a(w,v5,w)) * u. [para(642(a,1),1269(a,2,1))]. 1277 a(x,y,x) * ((z \ 1) * u) = (z \ a(w,v5,w)) * u. [para(949(a,2),1269(a,2,1))]. 1278 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(1272(a,1),326(a,1,2))]. 1279 L(x,y,1) = x. [para(591(a,1),1272(a,1,3))]. 1280 L(x,y,K(z,z \ 1)) = x. [para(634(a,2),1272(a,1,3))]. 1281 L(x,y,1) != z | x = z. [para(1279(a,1),44(a,2))]. 1282 L(x,y,K(z \ 1,z)) = x. [para(615(a,2),1279(a,1,3))]. 1283 L(x,y,K(z \ 1,z)) != u | x = u. [para(615(a,2),1281(a,1,3))]. 1284 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(530,a,1282,a),flip(a)]. 1285 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(57,a,83,a(flip),b,1282,a)]. 1286 a(x,y,x) \ (z * u) = L(z,w,z) * u. [para(640(a,2),1270(a,2,1))]. 1287 (L(x,y,x) * z) * a(u,w,u) = x * z. [hyper(799,a,1286,a)]. 1288 a(x,y,x) \ z = L(u,w,u) * (u \ z). [para(5(a,1),1286(a,1,2))]. 1290 x * (L(x,y,x) \ z) != u | z * a(w,v5,w) = u. [para(1287(a,1),333(a,1))]. 1293 (a(x,y,x) \ z) \ u = z \ (a(w,v5,w) * u). [hyper(57,a,129,a(flip),b,1271,a),flip(a)]. 1294 (a(x,y,x) * z) \ ((a(u,w,u) * v5) * v6) = z \ (v5 * v6). [para(1269(a,1),1271(a,1,2))]. 1295 (x * a(y,z,y)) * u = x * (a(w,v5,w) * u). [hyper(57,a,898,a(flip),b,1276,a),flip(a)]. 1296 (a(x,y,x) \ z) \ u = a(w,v5,w) * (z \ u). [hyper(230,a,948,a(flip),b,1293,a),flip(a)]. 1297 (x * a(y,z,y)) \ (x * (a(u,w,u) * v5)) = v5. [hyper(101,a,1295,a)]. 1298 a(x,y,x) \ z = u / (a(w,v5,w) * (z \ u)). [hyper(160,a,1296,a),flip(a)]. 1299 a(x,y,x) \ (z \ u) = (z * a(w,v5,w)) \ u. [para(65(a,1),1297(a,1,2)),flip(a)]. 1300 a(x,y,x) \ (z / u) = z / (a(w,v5,w) * u). [para(72(a,1),1298(a,2,2,2))]. 1301 (x / L(y,z,y)) * y != u | x * a(w,v5,w) = u. [para(1065(a,2),1290(a,1))]. 1302 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(671(a,1),1284(a,1,1))]. 1303 R(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * ((z * u) * w)) / (u * w). [para(1269(a,2),1275(a,2,1))]. 1304 R(a(x,y,x) * z,u,w) = a(v5,v6,v5) * (((z * u) * w) / (u * w)). [hyper(230,a,1278,a(flip),b,1303,a),flip(a)]. 1305 R(a(x,y,x) * z,u,w) = a(v5,v6,v5) * R(z,u,w). [para(15(a,2),1304(a,2,2))]. 1306 a(x,y,x) \ R(a(z,u,z) * w,v5,v6) = R(w,v5,v6). [hyper(101,a,1305,a(flip))]. 1307 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(1306(a,1),963(a,1,1)),flip(a)]. 1308 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(w,v5,w). [para(839(a,2),1307(a,1,1))]. 1309 R(T(x * y,x) / x,z,u) = T(w * R(y,z,u),w) / w. [hyper(230,a,839,a,b,1308,a),flip(a)]. 1311 R(T(x,y) / y,z,u) = T(w * R(y \ x,z,u),w) / w. [para(5(a,1),1309(a,1,1,1,1))]. 1312 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [hyper(424,a,1311,a),flip(a)]. 1313 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(426(a,1),1240(a,2,1))]. 1314 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(355(a,1),1249(a,1,1))]. 1315 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),1260(a,1,2,2,1))]. 1316 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(337,a,1315,a)]. 1317 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(230,a,1259,a(flip),b,1316,a),flip(a)]. 1318 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(105,a,1314,a)]. 1319 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(2(a,1),1318(a,1,1,2,1,2)),flip(a)]. 1320 (x / (y * x)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). [para(17(a,2),1319(a,2,1,2,1))]. 1321 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(230,a,9,a,b,304,a)]. 1322 L(L(x,y,z) \ x,L(x,y,z),z * y) != u | a(z,y,x) = u. [para(304(a,2),376(a,1))]. 1323 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(13(a,1),1321(a,2,2))]. 1324 L(a(x,y,x),L(R(z,u,w),v5,z),z * v5) = a(z,v5,R(z,u,w)). [para(988(a,2),1321(a,2,1)),flip(a)]. 1325 L(L(x,y,z) \ x,(z * y) \ (z * (y * x)),z * y) != u | a(z,y,x) = u. [para(13(a,1),1322(a,1,2))]. 1326 a(x,y,R(x,z,u)) = a(w,v5,w). [hyper(57,a,968,a(flip),b,1324,a),flip(a)]. 1328 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(1323(a,2),482(a,1,1)),flip(a)]. 1329 T(R(x,y,z) * y,y) \ (T(x * y,y) * z) = L(z,y,R(T(x,y),y,z)). [para(656(a,2),751(a,1,1))]. 1330 L(L((x * y) \ x,T(y * x,y),y),z,y) = L(y \ 1,y,y * x). [para(589(a,1),1179(a,1,1,1,1))]. 1331 L(L(x \ 1,x,y),z,x) = L(x \ 1,x,x * y). [para(1178(a,1),1330(a,1,1))]. 1332 L(x \ 1,x,x * y) = L(x \ 1,x,y). [hyper(57,a,1167,a(flip),b,1331,a),flip(a)]. 1334 L(x \ 1,x,x \ y) = L(x \ 1,x,y). [para(5(a,1),1332(a,1,3)),flip(a)]. 1335 (x \ y) \ (x \ (y / x)) = L(x \ 1,x,y / x). [hyper(57,a,921,a(flip),b,1334,a)]. 1336 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1316(a,2),577(a,1,2))]. 1337 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(3(a,1),1336(a,2,2,1,2,2))]. 1338 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(17(a,2),1337(a,1,2,2,1,2)),flip(a)]. 1339 (x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y). [hyper(57,a,1313,a(flip),b,1338,a)]. 1340 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(191,a,1339,a(flip))]. 1341 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(1259(a,1),1340(a,1,1))]. 1342 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(230,a,1317,a(flip),b,1341,a),flip(a)]. 1343 L(x * ((x \ (y \ x)) / x),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. [hyper(230,a,937,a,b,735,a)]. 1344 (L(x,y,z) \ x) \ (L(x,y,z) \ L(x,u,w)) = L(x \ L(x,u,w),x,L(x,y,z) \ 1). [para(863(a,1),865(a,1,2))]. 1345 L(x * (x \ ((y \ x) / x)),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. [para(707(a,1),1343(a,1,1,2))]. 1346 L(x * (x \ (x \ (x / y))),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. [para(718(a,1),1345(a,1,1,2,2))]. 1347 ((x * L(x \ 1,y,z)) * (x \ u)) / u = L(u \ (u / x),y,z). [para(5(a,1),1346(a,1,1)),flip(a)]. 1349 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(405,a,417,a),flip(a)]. 1350 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(4(a,1),1349(a,1,2,1)),flip(a)]. 1351 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(355(a,1),1349(a,2,1))]. 1352 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(356(a,1),1350(a,1,1))]. 1353 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(369,a,1352,a)]. 1354 L(x,y,z) * T(u * x,L(x,y,z)) = (u * L(x,y,z)) * x. [hyper(230,a,93,a,b,1352,a)]. 1355 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(101,a,1352,a)]. 1356 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(29,a,226,a,b,1352,a)]. 1357 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(153,a,1353,a)]. 1358 x * (T(y,x) / L(x,z,u)) = (y / L(x,z,u)) * x. [hyper(57,a,930,a,b,1353,a)]. 1359 ((x / y) / L(y,z,u)) * y = x / L(y,z,u). [hyper(57,a,126,a(flip),b,1353,a),flip(a)]. 1360 (x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(1355(a,1),563(a,1,2,1)),flip(a)]. 1361 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(81(a,1),1356(a,1,1)),flip(a)]. 1362 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1357(a,1),237(a,1,2))]. 1363 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(151(a,1),1357(a,1,1,1)),flip(a)]. 1364 x / L(y,z,y) = (x / y) * a(u,w,u). [hyper(1301,a,1359,a),flip(a)]. 1365 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(101,a,1361,a),flip(a)]. 1366 ((x * L(y,z,u)) * y) \ ((x * (y * L(y,z,u))) * y) = L(y,L(y,z,u),x). [para(192(a,1),1363(a,2,2,1,2)),flip(a)]. 1367 L(x,y,y \ 1) \ ((x * ((y \ 1) * y)) * y) = L(y,y \ 1,x). [para(1184(a,1),1363(a,2,1)),flip(a)]. 1368 ((x * y) / z) * L(z,y,x) != u | (x * (y * z)) / z = u. [para(1365(a,2),203(a,1,2))]. 1369 ((x / y) * (y \ 1)) \ ((x * ((y \ 1) * y)) / y) = L(y,y \ 1,x). [para(1188(a,1),1365(a,2,1)),flip(a)]. 1370 T(x / L(y,z,u),y) = T(x,y) / L(y,z,u). [hyper(191,a,1358,a)]. 1371 T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). [hyper(372,a,1370,a),flip(a)]. 1372 T(T(x,y) / L(x,z,u),x) = T(x,y) / L(x,z,u). [para(144(a,1),1370(a,2,1))]. 1373 L(T(x / L(y,z,u),y),L(y,z,u),L(y,z,u) \ 1) = T(x,y) * (L(y,z,u) \ 1). [para(1370(a,2),1097(a,1,1))]. 1374 (L(x,y,z) * (x \ u)) * x = T(L(x,y,z) * u,x). [hyper(230,a,926,a,b,1371,a)]. 1375 L(x,y,z) * T(L(u,w \ L(x,y,z),w),x) = T(w * ((w \ L(x,y,z)) * u),x). [para(283(a,1),1371(a,1,1)),flip(a)]. 1376 T(L(x,y,z) \ T(x,u),x) = T(x,u) / L(x,y,z). [para(885(a,1),1372(a,1,1))]. 1377 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(29,a,649,a(flip),b,1374,a)]. 1378 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(651,a,1374,a(flip))]. 1379 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(4(a,1),1378(a,1,2,2)),flip(a)]. 1380 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1378(a,1),37(a,1))]. 1381 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1378(a,1),241(a,1,2))]. 1382 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(28,a,223,a,b,1379,a)]. 1383 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(28,a,176,a,b,1379,a),flip(a)]. 1384 (x * (L(x,y,z) * u)) \ ((L(x,y,z) * x) * u) = a(L(x,y,z),x,u). [para(1379(a,1),9(a,2,1)),flip(a)]. 1386 (x * (L(y,z,u) \ y)) \ ((x * y) * (L(y,z,u) \ 1)) = a(x,y,L(y,z,u) \ 1). [para(1383(a,1),9(a,2,1,2)),flip(a)]. 1387 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1383(a,1),204(a,1,2)),flip(a)]. 1388 (L(x,y,z) \ x) \ (x * ((L(x,y,z) \ 1) * u)) != w | L(u,L(x,y,z) \ 1,x) = w. [para(1383(a,1),295(a,1,1))]. 1389 L(L(x,y,z) \ 1,x,x \ 1) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). [para(1383(a,1),849(a,1,2,2,1))]. 1390 x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [para(5(a,1),1382(a,1,2)),flip(a)]. 1391 (x / y) * (L(x / y,z,u) \ y) = L(x / y,z,u) \ x. [para(7(a,1),1382(a,1,2)),flip(a)]. 1393 (x \ y) * (L(x \ y,z,u) \ x) = L(x \ y,z,u) \ T(y,x). [para(649(a,2),1382(a,1,2)),flip(a)]. 1394 L(x * (L(x,y,z) \ u),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * (x * u)). [para(1382(a,1),304(a,1,1))]. 1395 L(x,y,x) \ z = (x \ z) * a(u,w,u). [hyper(1290,a,1390,a),flip(a)]. 1396 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(101,a,1390,a),flip(a)]. 1397 x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. [para(1396(a,2),203(a,1,2))]. 1399 T(L(x,y,z) \ T(x,u),x) != w | L(x,y,z) \ T(x,u) = w. [para(1376(a,2),986(a,1))]. 1400 T(x * y,L(y,z,u)) = T(x,L(y,z,u)) * y. [hyper(1135,a,1354,a),flip(a)]. 1401 T(T(x * y,L(x,z,u)),x) = T(y,L(x,z,u)) * x. [hyper(655,a,1400,a)]. 1402 T(x * y,L(x,z,u)) = x * T(y,L(x,z,u)). [hyper(651,a,1401,a),flip(a)]. 1403 T(x * y,L(y \ 1,z,u)) = T(x,L(y \ 1,z,u)) * y. [hyper(1193,a,1402,a),flip(a)]. 1404 L(x,y,y \ 1) \ ((x * 1) * y) = L(y,y \ 1,x). [para(590(a,1),1367(a,1,2,1,2))]. 1405 L(x,y,y \ 1) \ (x * y) = L(y,y \ 1,x). [para(3(a,1),1404(a,1,2,1))]. 1407 x * (L(x,y,y \ 1) \ y) = L(y,y \ 1,x). [hyper(57,a,1382,a(flip),b,1405,a)]. 1408 ((x / y) * (y \ 1)) \ ((x * 1) / y) = L(y,y \ 1,x). [para(590(a,1),1369(a,1,2,1,2))]. 1409 ((x / y) * (y \ 1)) \ (x / y) = L(y,y \ 1,x). [para(3(a,1),1408(a,1,2,1))]. 1411 (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))). [hyper(219,a,1351,a),flip(a)]. 1412 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(57,a,477,a(flip),b,1351,a)]. 1413 ((x * y) * L((x * y) \ (x * (y * z)),u,w)) * z = ((x * y) * z) * L(L(z,y,x),u,w). [para(1363(a,2),1351(a,1,2,1)),flip(a)]. 1414 (x * (y * ((x * y) \ (z * y)))) / y != u | x * L(x \ z,y,x) = u. [para(1411(a,1),235(a,1,1))]. 1415 (T(x,y) * L(T(x,y) \ z,y,T(x,y))) * y = T(x,y) * (y * (T(x * y,y) \ (z * y))). [para(652(a,2),1411(a,2,2,2,1))]. 1416 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(4(a,1),1360(a,1,1,2,1))]. 1417 (x * (L(x,y,z) * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u). [para(192(a,1),1384(a,1,2,1))]. 1418 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(191,a,1412,a),flip(a)]. 1419 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(2(a,1),1412(a,1,2,2,1,2,2))]. 1420 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(7(a,1),1412(a,1,2,2,1,2,2)),flip(a)]. 1421 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),1418(a,1,2,1,2)),flip(a)]. 1422 (x \ 1) * (L(y,x,x \ 1) * L(L(y,x,x \ 1) \ (x * y),z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). [para(847(a,1),1419(a,1,2,2,1,2))]. 1423 a(L(x,y,z),x,u) = a(x,L(x,y,z),u). [hyper(376,a,1417,a),flip(a)]. 1424 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1420(a,1),17(a,2,2)),flip(a)]. 1426 ((x * y) * L(y,z,u)) \ ((x * (y * L(y,z,u))) * y) = L(y,L(y,z,u),x). [para(1352(a,1),1366(a,1,1))]. 1427 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(406,a,419,a),flip(a)]. 1428 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(361(a,1),1427(a,2,1))]. 1429 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(2(a,1),1428(a,1,2,1,2))]. 1430 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1428(a,1,2,1)),flip(a)]. 1431 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(1428(a,1),523(a,1,2)),flip(a)]. 1432 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1430(a,1,1,2,1))]. 1433 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(101,a,1432,a)]. 1434 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1433(a,1),489(a,1,1)),flip(a)]. 1435 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1434(a,1),359(a,1,2))]. 1436 ((x * R(y,z,u)) * T(y,x)) / (x * R(y,z,u)) = R(y,x,R(y,z,u)). [para(1435(a,2),15(a,2,1)),flip(a)]. 1437 ((x * R(y,z,u)) * T(y,x)) / (x * R(y,z,u)) != w | R(y,x,R(y,z,u)) = w. [para(1435(a,2),315(a,1,1))]. 1438 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(57,a,474,a(flip),b,1429,a)]. 1439 L(x,y,y \ 1) \ L(x * z,y,y \ 1) = L(L(z,x,y),y * x,y \ 1). [para(836(a,1),851(a,1,2))]. 1440 K(x,x \ 1) * ((y \ 1) / z) = (1 / y) / z. [para(1280(a,1),982(a,1,2)),flip(a)]. 1441 ((L(x \ 1,y,z) \ u) * x) * (x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). [para(1210(a,1),1105(a,1,1))]. 1442 L(L(x \ 1,y,z) \ u,x,x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). [hyper(1107,a,1441,a)]. 1444 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(93(a,1),540(a,1,2,1,1)),flip(a)]. 1445 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x. [hyper(230,a,1429,a(flip),b,1444,a),flip(a)]. 1446 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(191,a,1445,a),flip(a)]. 1447 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(17(a,2),564(a,1,2,1,1)),flip(a)]. 1448 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(446(a,1),1447(a,1,2))]. 1449 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(575,a,1448,a),flip(a)]. 1450 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(4(a,1),1449(a,1,2,1,2)),flip(a)]. 1451 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(182(a,1),1450(a,1,1,2,1,2)),flip(a)]. 1452 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [hyper(480,a,578,a),flip(a)]. 1453 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). [hyper(57,a,402,a(flip),b,1222,a)]. 1454 T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). [para(89(a,1),1453(a,1,1,2))]. 1455 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). [para(9(a,2),1454(a,1,1)),flip(a)]. 1456 T(a(x,y,z),x) = a(x,y,z). [hyper(376,a,1455,a),flip(a)]. 1457 T(x,a(x,y,z)) = x. [hyper(48,a,1456,a)]. 1458 a(x,y,z) * x = x * a(x,y,z). [para(1456(a,1),93(a,1,2)),flip(a)]. 1459 x / a(x,y,z) = a(x,y,z) \ x. [para(1456(a,1),697(a,1,2))]. 1460 x / a(x \ 1,y,z) = a(x \ 1,y,z) \ x. [para(1456(a,1),1040(a,1,1)),flip(a)]. 1461 a(x,y,z) * x != u | x * a(x,y,z) = u. [para(1457(a,1),216(a,1,2))]. 1462 R(x,y,z) / a(x,u,w) = a(x,u,w) \ R(x,y,z). [para(1457(a,1),702(a,1,1,1))]. 1463 x / (a(x,y,z) \ 1) = (a(x,y,z) \ 1) \ x. [para(1457(a,1),1035(a,1,2)),flip(a)]. 1464 a(x,y,z) * (x * T(u,x * a(x,y,z))) = L(u,x,a(x,y,z)) * (a(x,y,z) * x). [para(1458(a,1),353(a,1,2,2,2))]. 1465 (a(x,y,z) * (x * u)) \ ((x * a(x,y,z)) * u) != w | a(a(x,y,z),x,u) = w. [para(1458(a,1),376(a,1,2,1))]. 1466 (x \ 1) * ((x \ 1) * L(((x \ 1) \ y) / x,z,u)) = (x \ L(y,z,u)) * (x \ 1). [para(1205(a,2),1261(a,1,2,2,1))]. 1467 L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)). [hyper(57,a,1294,a(flip),b,1274,a),flip(a)]. 1469 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(230,a,13,a,b,1467,a),flip(a)]. 1470 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(5(a,1),1469(a,1,3)),flip(a)]. 1471 L(x,y,L(z,u,z)) = L(x,y,z). [para(640(a,2),1470(a,1,3))]. 1472 L(x,y,1 / (1 / z)) = L(x,y,z). [para(620(a,1),1471(a,1,3))]. 1473 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(155(a,1),1472(a,1,3)),flip(a)]. 1474 L(x,y,z) * L(T(u,x),w \ L(x,y,z),w) = T(w * ((w \ L(x,y,z)) * u),x). [para(20(a,2),1375(a,1,2))]. 1475 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(230,a,17,a,b,1431,a),flip(a)]. 1476 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1475(a,1,1))]. 1477 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1476(a,1,2,1,1))]. 1478 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(4(a,1),1477(a,2,1,2,1))]. 1479 x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w). [hyper(101,a,1452,a)]. 1480 (x \ 1) * (L(x \ ((x \ 1) \ y),z,u) * (x \ 1)) = (x \ L(y,z,u)) * (x \ 1). [para(1048(a,2),1466(a,1,2))]. 1481 T(x * ((x \ L(y,z,u)) * w),y) = x * ((x \ L(y,z,u)) * T(w,y)). [hyper(378,a,1474,a),flip(a)]. 1482 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(825(a,1),1478(a,1,2,1))]. 1483 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(57,a,1424,a(flip),b,1479,a)]. 1484 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(6(a,1),1483(a,1,1,2,1,2)),flip(a)]. 1485 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(182(a,1),1483(a,1,1,2,1,2)),flip(a)]. 1486 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(825(a,1),1484(a,1,2,1))]. 1487 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(163(a,1),1485(a,1,2,1,2))]. 1488 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ x),z). [para(253(a,1),1487(a,2,1,2))]. 1489 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(1051(a,1),1487(a,1,2,1,1))]. 1490 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(1051(a,2),1487(a,1,1))]. 1491 (x \ 1) * L(x \ ((x \ 1) \ y),z,u) = x \ L(y,z,u). [hyper(594,a,1480,a)]. 1492 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(434,a,465,a),flip(a)]. 1493 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(7(a,1),1492(a,1,2,1,2,2)),flip(a)]. 1494 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(426(a,1),1492(a,2,1))]. 1495 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(234,a,1493,a),flip(a)]. 1496 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(57,a,958,a(flip),b,1495,a),flip(a)]. 1497 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(57,a,529,a(flip),b,1495,a)]. 1498 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(230,a,1081,a(flip),b,1496,a),flip(a)]. 1499 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(105,a,1498,a)]. 1500 (x * ((x / y) / x)) \ T(x,y \ 1) = y. [hyper(101,a,1498,a)]. 1501 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(72(a,1),1499(a,1,1,2))]. 1502 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(317(a,2),1497(a,2,1,2,1)),flip(a)]. 1503 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1313(a,1),1497(a,1,2)),flip(a)]. 1504 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(234,a,1494,a),flip(a)]. 1505 (x * (y * L(y,z,u))) \ ((x * y) * L(y,z,u)) = a(x,L(y,z,u),T(y,L(y,z,u))). [para(1352(a,1),472(a,1,2))]. 1506 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(57,a,454,a(flip),b,491,a),flip(a)]. 1507 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1506(a,1),439(a,1,2))]. 1508 ((x * (x \ y)) \ (z * (x \ y))) * y = (x * T(x \ z,y)) * (x \ y). [para(222(a,1),571(a,1,1))]. 1509 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(5(a,1),1508(a,1,1,1))]. 1511 ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). [para(93(a,1),573(a,2,2))]. 1512 ((x * y) * T((x * y) \ x,z)) * z = x * (y * ((z \ (y \ z)) * z)). [hyper(230,a,975,a(flip),b,1511,a),flip(a)]. 1513 (x * (y * T(y \ 1,z))) * z = x * (y * ((z \ (y \ z)) * z)). [para(387(a,1),1512(a,1,1))]. 1514 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [hyper(593,a,1513,a)]. 1515 x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. [hyper(230,a,1137,a(flip),b,1514,a)]. 1516 ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y). [para(17(a,2),1515(a,1,2,1)),flip(a)]. 1517 ((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x. [hyper(230,a,830,a(flip),b,1516,a),flip(a)]. 1518 (x \ T(x,y)) * y = (x * y) / x. [para(467(a,1),1517(a,1,1))]. 1519 ((x * y) / x) / y = x \ T(x,y). [hyper(105,a,1518,a)]. 1520 x * (y \ T(y,x)) = (y * x) / y. [para(1519(a,1),890(a,1,2))]. 1521 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(230,a,182,a(flip),b,1520,a),flip(a)]. 1522 T(x,y) * (y \ T(y,x)) = x. [para(762(a,1),1521(a,1,2,2))]. 1523 T(x,y) \ x = y \ T(y,x). [hyper(101,a,1522,a)]. 1524 x * (T(y,x) \ y) = T(x,y). [para(1522(a,1),64(a,1,2,2))]. 1525 T(x,y) \ x != z | y \ T(y,x) = z. [para(1522(a,1),241(a,1,2))]. 1526 T(L(x,y,x),z) \ L(x,y,x) = z \ T(z,x). [para(1057(a,1),1523(a,2,2))]. 1527 (x * y) / x = y * (T(y,x) \ y). [para(1523(a,2),1520(a,1,2)),flip(a)]. 1528 T(x * (T(x,y) \ x),y) = x. [para(1527(a,1),181(a,1,1))]. 1529 T(x,x * y) \ L(x,y,x) = y \ T(y,x). [para(384(a,1),1526(a,1,1))]. 1530 T(x * (L(y,z,u) \ 1),y) = T(x,y) * (L(y,z,u) \ 1). [hyper(57,a,1099,a(flip),b,1373,a)]. 1531 a(x,y,z) * (x * T(u,x * a(x,y,z))) = L(u,x,a(x,y,z)) * (x * a(x,y,z)). [para(1458(a,1),1464(a,2,2))]. 1532 a(x,L(y,z,u),T(y,L(y,z,u))) = a(x,y,L(y,z,u)). [hyper(376,a,1505,a),flip(a)]. 1533 a(x,L(y,z,u),y) = a(x,y,L(y,z,u)). [para(142(a,1),1532(a,1,3))]. 1534 a(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * (z * (u * w))) \ ((a(v7,v8,v7) * (z * u)) * w). [para(1269(a,2),1273(a,1,2,1)),flip(a)]. 1535 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(7(a,1),1504(a,2,2,1,2,1))]. 1536 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(105,a,1535,a)]. 1537 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(2(a,1),1536(a,1,1,2,1,2,2)),flip(a)]. 1538 a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((z * u) * w). [hyper(230,a,1294,a(flip),b,1534,a),flip(a)]. 1540 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(230,a,9,a,b,1538,a),flip(a)]. 1541 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),1540(a,1,1)),flip(a)]. 1542 a(L(x,y,x),z,u) = a(x,z,u). [para(640(a,2),1541(a,1,1))]. 1543 a(1 / x,y,z) = a(x \ 1,y,z). [para(622(a,1),1542(a,1,1))]. 1544 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(449,a,555,a),flip(a)]. 1545 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(387(a,1),1544(a,2,2))]. 1546 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(292,a,1545,a)]. 1547 ((x * y) * L(L(z,y,x),u,w)) * z = ((x * y) * z) * L(L(z,y,x),u,w). [para(13(a,2),1413(a,1,1,2,1))]. 1548 ((x * y) * z) * L(L(z,y,x),u,w) = (x * (y * L(z,u,w))) * z. [para(291(a,1),1547(a,1,1)),flip(a)]. 1549 a(L(x \ y,z,u),x,x \ 1) = L(x \ y,z,u) \ L(1 \ ((x \ 1) * y),z,u). [para(590(a,1),1110(a,1,2,1,1)),flip(a)]. 1550 a(L(x \ y,z,u),x,x \ 1) = L(x \ y,z,u) \ L((x \ 1) * y,z,u). [para(59(a,1),1549(a,2,2,1))]. 1552 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(1259(a,1),1503(a,2,2,1))]. 1553 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1214(a,1),1489(a,2,1))]. 1554 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(57,a,1553,a(flip),b,1490,a),flip(a)]. 1555 x / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1. [para(983(a,1),1230(a,1,1))]. 1556 (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(81(a,1),541(a,1,2,1,1))]. 1557 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [hyper(101,a,1556,a(flip))]. 1558 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(473(a,1),1557(a,1,2))]. 1559 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(440(a,1),1558(a,1,2,2))]. 1560 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(295,a,1559,a),flip(a)]. 1562 L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * R(x \ 1,u,u \ 1),y,z). [para(1100(a,1),1560(a,1,2))]. 1563 L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(L(x \ 1,u,x) \ 1,y,z). [para(1164(a,1),1560(a,1,1)),flip(a)]. 1564 L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1164(a,1),1563(a,2,2,1,1))]. 1565 L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). [hyper(230,a,515,a(flip),b,1564,a),flip(a)]. 1567 L(x \ R(x,y,z),u,x) = x \ R(x,y,z). [para(515(a,1),1565(a,1,1))]. 1568 a(x,y,x \ R(x,z,u)) = 1. [hyper(47,a,1567,a)]. 1569 L(x,y,z) != z \ R(z,u,w) | z \ R(z,u,w) = x. [para(1567(a,1),44(a,1)),flip(a)]. 1570 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(230,a,1497,a(flip),b,1502,a),flip(a)]. 1571 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(929(a,2),1570(a,1,1))]. 1572 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(215,a,1571,a),flip(a)]. 1573 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(57,a,952,a(flip),b,1572,a)]. 1574 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y). [para(1498(a,1),1572(a,2,1))]. 1575 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [hyper(57,a,1552,a(flip),b,1574,a)]. 1576 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(614(a,1),1575(a,1,2,1,2,2)),flip(a)]. 1577 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(614(a,1),1576(a,1,1,2)),flip(a)]. 1578 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(4(a,1),1577(a,1,2,2)),flip(a)]. 1579 x * ((x \ T(x,y)) * z) = T(x,y) * z. [hyper(336,a,1578,a),flip(a)]. 1580 L(x,y \ T(y,z),y) = x. [hyper(332,a,1579,a)]. 1583 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(1523(a,2),1579(a,1,2,1))]. 1584 L(x,y,y \ T(y,z)) = x. [hyper(1134,a,1580,a)]. 1585 (T(x,y) \ x) * (x * y) = y * x. [hyper(28,a,823,a(flip),b,1583,a),flip(a)]. 1586 K(x,y) = T(y,x) \ y. [hyper(881,a,1585,a)]. 1587 K(x,y) = y / T(y,x). [hyper(230,a,704,a,b,1586,a),flip(a)]. 1588 K(x,y) = y * (T(y,x) \ 1). [hyper(230,a,497,a,b,1586,a),flip(a)]. 1589 K(x,y) = x \ T(x,y). [hyper(230,a,1523,a(flip),b,1586,a),flip(a)]. 1590 T(x,y) * K(y,x) = x. [hyper(110,a,1586,a(flip))]. 1591 T(x,y) \ 1 = x \ K(y,x). [para(1586(a,2),502(a,1,2)),flip(a)]. 1592 T(x,y) = x * K(x,y). [para(1586(a,2),1524(a,1,2)),flip(a)]. 1593 (x * y) / x = y * K(x,y). [para(1586(a,2),1527(a,2,2))]. 1594 T(x * K(y,x),y) = x. [para(1586(a,2),1528(a,1,1,2))]. 1595 K(x,y) != z | x \ T(x,y) = z. [para(1586(a,2),1525(a,1))]. 1596 x * (K(x,y) * z) = T(x,y) * z. [para(1586(a,2),1583(a,1,2,1))]. 1597 K(x,x \ y) = K(x,y). [hyper(230,a,884,a,b,1587,a)]. 1598 K(x,y) * T(y,x) = y. [hyper(108,a,1587,a(flip))]. 1599 K(x,y) != y / z | T(y,x) = z. [para(1587(a,2),39(a,1))]. 1600 K(x * (L(x,y,z) \ u),x) = x / T(x,u). [para(1010(a,1),1587(a,2,2))]. 1601 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(230,a,1529,a,b,1589,a),flip(a)]. 1602 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(230,a,1342,a,b,1589,a)]. 1603 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(230,a,1259,a,b,1589,a)]. 1604 K(x,y) = T(x,y) / x. [hyper(230,a,708,a,b,1589,a),flip(a)]. 1605 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(20(a,2),1589(a,2,2)),flip(a)]. 1607 x * K(x,y) != z | T(x,y) = z. [para(1589(a,2),203(a,1,2))]. 1608 x * (y * K(y,x)) = y * x. [para(1589(a,2),183(a,1,2,2))]. 1609 T(x,K(x,y)) = x. [para(1589(a,2),694(a,1,2))]. 1610 T(x,y) = K(x,y) * x. [para(1589(a,2),682(a,1,1)),flip(a)]. 1611 K(x,L(x,y,z) * u) = x \ T(x,x * u). [para(1011(a,1),1589(a,2,2))]. 1612 (x * y) / x = K(x,y) * y. [para(1589(a,2),1518(a,1,1)),flip(a)]. 1613 T(x,y) * K(y,T(x,y)) = x. [para(1589(a,2),1521(a,1,2))]. 1614 L(x,K(y,z),y) = x. [para(1589(a,2),1580(a,1,2))]. 1615 L(x,y,K(y,z)) = x. [para(1589(a,2),1584(a,1,3))]. 1616 T(K(x,y),x) = K(x,y). [hyper(48,a,1609,a)]. 1617 T(T(x,y),K(x,z)) = T(x,y). [para(1609(a,1),18(a,1,1)),flip(a)]. 1618 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(1609(a,1),188(a,1,2,1)),flip(a)]. 1619 T((x \ y) * x,K(y,z)) = (x \ y) * x. [para(1609(a,1),893(a,2,1,2))]. 1620 L(x,K(y,z),y) != u | x = u. [para(1614(a,1),44(a,2))]. 1621 L(x,1,y) = x. [para(136(a,1),1614(a,1,2))]. 1622 L(x,1,y) = z \ (z * x). [hyper(230,a,4,a,b,1621,a),flip(a)]. 1623 a(x,1,y) = 1. [hyper(47,a,1621,a)]. 1624 L(x,1,y) != z | x = z. [para(1621(a,1),44(a,2))]. 1625 L(x,K(y \ 1,y),z) = x. [para(615(a,2),1621(a,1,2))]. 1626 L(x,K(y,y \ 1),z) = x. [para(633(a,2),1621(a,1,2))]. 1627 L(x,y,K(y,z)) != u | x = u. [para(1615(a,1),44(a,2))]. 1629 T(x,y) \ x != z | K(y,x) = z. [para(1590(a,1),241(a,1,2))]. 1630 x * T(x \ 1,y) = K(x \ 1,y). [hyper(933,a,1592,a)]. 1631 (x \ y) * x = y * K(y,x). [hyper(793,a,1592,a)]. 1632 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(1592(a,2),15(a,2,2)),flip(a)]. 1633 T(x,y) != x * z | K(x,y) = z. [para(1592(a,2),37(a,1))]. 1634 x \ T(x,y) != z | K(x,y) = z. [para(1592(a,2),241(a,1,2))]. 1635 T(x,y \ 1) = x * K(y,x). [hyper(1032,a,1594,a)]. 1636 x / (x / y) = y * K(y \ x,y). [hyper(916,a,1594,a)]. 1637 T(x,y \ x) = x * K(y,x). [hyper(745,a,1594,a)]. 1638 x * K(y,x) = y * (x / y). [hyper(675,a,1594,a),flip(a)]. 1639 x / (x / y) = y * K(x / y,y). [hyper(249,a,1594,a)]. 1640 (x \ y) * K(x,x \ y) = y / x. [hyper(199,a,1594,a),flip(a)]. 1641 T(T(x * K(y,x),z),y) = T(x,z). [para(1594(a,1),18(a,1,1)),flip(a)]. 1642 T(x,y) != z | z * K(y,z) = x. [para(1594(a,1),43(a,1)),flip(a)]. 1643 (x * K(y,x)) * y = y * x. [para(1594(a,1),93(a,1,2)),flip(a)]. 1644 (x * y) / x != z | y * K(x,y) = z. [para(1594(a,1),238(a,1,1,2))]. 1645 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(1594(a,1),190(a,1,2,1)),flip(a)]. 1646 T(x / (x / (y * K(z,y))),z) = x / (x / y). [para(1594(a,1),914(a,2,2,2))]. 1647 K(x,x * y) = K(x,y). [para(4(a,1),1597(a,1,2)),flip(a)]. 1648 K(x,y / x) * (x \ y) = y / x. [para(95(a,1),1598(a,1,2))]. 1649 x / T(x,y) != z | K(y,x) = z. [para(1598(a,1),235(a,1,1))]. 1650 K(x,y) * x != z | T(x,y) = z. [para(1604(a,2),200(a,1,1))]. 1651 x * (K(y,x) * y) = y * x. [para(1610(a,1),93(a,1,2))]. 1652 (x * T(y,z)) * a(x,K(y,z),y) = (x * K(y,z)) * y. [para(1610(a,2),75(a,1,1,2))]. 1653 (K(x,K(y,z)) * T(K(y,z),x)) * y = T(y,z). [para(1598(a,2),1610(a,2,1)),flip(a)]. 1654 T(K(x,y),x \ 1) = K(x,y). [hyper(1032,a,1616,a)]. 1655 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1616(a,1),1028(a,1,1))]. 1657 T(x / y,x) != z | y \ x = z. [para(716(a,1),1624(a,1))]. 1658 L(R(x,y,z),u,x) != w | R(x,y,z) = w. [para(984(a,1),1624(a,1))]. 1659 K(x,x * y) * a(z,u,z) = K(x,y). [hyper(57,a,608,a,b,1647,a)]. 1660 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [hyper(530,a,1625,a),flip(a)]. 1661 (x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z. [para(1626(a,1),325(a,1,2)),flip(a)]. 1662 K(x,y) \ (y * ((T(y,x) \ 1) * z)) = L(z,T(y,x) \ 1,y). [para(1588(a,2),13(a,2,1)),flip(a)]. 1664 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(1588(a,2),82(a,1,2,2)),flip(a)]. 1666 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(1437,a,1593,a),flip(a)]. 1667 K(x,y) = y \ ((x * y) / x). [hyper(101,a,1593,a(flip)),flip(a)]. 1668 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(1593(a,1),90(a,1,1))]. 1669 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(1593(a,2),318(a,1,2))]. 1670 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(1593(a,1),418(a,1,1))]. 1671 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(1593(a,1),423(a,1,1))]. 1672 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(1593(a,1),386(a,1,1))]. 1673 x * K(y,x) != z | T(x,y \ x) = z. [para(1593(a,1),749(a,1))]. 1674 x * K(y,x) != z | T(x,y \ 1) = z. [para(1593(a,1),1038(a,1))]. 1675 T(x,y \ x) = K(y,x) * x. [hyper(749,a,1612,a)]. 1677 T(K(x,y) * y,x) = y. [para(1612(a,1),181(a,1,1))]. 1678 K(x,T(y,x)) = K(x,y). [hyper(28,a,1590,a,b,1613,a),flip(a)]. 1679 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),1678(a,1,2))]. 1680 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(18(a,1),1678(a,1,2))]. 1681 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(20(a,2),1678(a,1,2))]. 1682 K(x,y / x) = K(x,x \ y). [para(95(a,1),1678(a,1,2)),flip(a)]. 1683 K(x,y * x) = K(x,x * y). [para(589(a,1),1678(a,1,2))]. 1684 K(x,(y \ x) \ x) = K(x,y). [para(693(a,1),1678(a,1,2))]. 1685 K(x,x / y) = K(x,y \ x). [para(695(a,1),1678(a,1,2)),flip(a)]. 1686 K(x,T(y,x \ y)) = K(x,y). [para(740(a,1),1678(a,1,2)),flip(a)]. 1687 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(1617(a,1),268(a,1,1,2,1)),flip(a)]. 1688 K(x \ y,x) = K(y,x). [hyper(279,a,1631,a)]. 1689 K(x * y,x) = K(y,x). [para(4(a,1),1688(a,1,1)),flip(a)]. 1690 K(x * (y * z),x * y) = K(L(z,y,x),x * y). [para(13(a,2),1688(a,1,1)),flip(a)]. 1691 K(x * y,x) = K(y,x) * a(z,u,z). [hyper(922,a,1689,a),flip(a)]. 1692 a(x,y,x) \ K(z * u,z) = K(u,z). [hyper(57,a,609,a,b,1689,a)]. 1693 L(x,y * z,K(z,y)) = x. [para(1689(a,1),1615(a,1,3))]. 1695 (K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z). [hyper(530,a,1693,a),flip(a)]. 1696 K(x,y \ 1) = K(y,x). [hyper(28,a,1592,a(flip),b,1635,a(flip))]. 1697 K(x \ 1,y \ 1) = K(x,y). [hyper(230,a,1696,a(flip),b,1696,a),flip(a)]. 1698 K(x \ 1,y) = K(y,x). [para(614(a,1),1696(a,1,2)),flip(a)]. 1699 T(x,K(y,x)) = x. [para(1696(a,1),1609(a,1,2))]. 1700 L(x,K(y,z),z) = x. [para(1696(a,1),1614(a,1,2))]. 1701 L(x,y,K(z,y)) = x. [para(1696(a,1),1615(a,1,3))]. 1702 L(x,y,K(z,y \ 1)) = x. [para(1696(a,2),1615(a,1,3))]. 1703 T(T(x,y),K(z,x)) = T(x,y). [para(1696(a,1),1617(a,1,2))]. 1704 L(x,y,K(z,y)) != u | x = u. [para(1696(a,1),1627(a,1,3))]. 1705 K(x,y) * y != z | y * K(x,y) = z. [para(1699(a,1),216(a,1,2))]. 1706 T(x \ 1,K(x,y)) = x \ 1. [para(1696(a,1),1699(a,1,2))]. 1707 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(530,a,1700,a),flip(a)]. 1708 (x * K(y,x)) * z != x * u | K(y,x) * z = u. [para(1700(a,1),293(a,1,2))]. 1709 L(x,K(y,z),y \ z) = x. [para(1597(a,1),1700(a,1,2))]. 1710 K((x \ 1) \ 1,y) = K(x,y). [hyper(230,a,1696,a(flip),b,1698,a),flip(a)]. 1711 K(x \ 1,y) = T(x,y) \ x. [hyper(230,a,1586,a(flip),b,1698,a),flip(a)]. 1712 K(x,(y \ 1) \ 1) = K(x,y). [hyper(57,a,1696,a,b,1698,a)]. 1713 L(x,K(y,z),z \ 1) != u | x = u. [para(1698(a,1),1620(a,1,2))]. 1714 L(x,y,K(y \ 1,z)) = x. [para(1698(a,2),1701(a,1,3))]. 1715 (K(x,y \ 1) * y) * z = K(x,y \ 1) * (y * z). [hyper(530,a,1702,a),flip(a)]. 1716 L(x,K(y,z),y \ z) != u | x = u. [para(1709(a,1),44(a,2))]. 1717 (K(x \ 1,y) * x) * z = K(x \ 1,y) * (x * z). [hyper(530,a,1714,a),flip(a)]. 1718 L(x,y,K(y \ 1,z)) != u | x = u. [para(1714(a,1),44(a,2))]. 1719 K(x,y \ x) = K(y,x). [hyper(28,a,1592,a(flip),b,1637,a(flip))]. 1720 K(x,y \ x) = K(y,y \ x). [hyper(230,a,1597,a,b,1719,a),flip(a)]. 1721 x * K(y,y \ x) = y * (x / y). [para(1597(a,2),1638(a,1,2))]. 1722 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(1643(a,1),9(a,2,1,2)),flip(a)]. 1723 T(K(x,y),1 / x) = K(x,y). [hyper(57,a,1054,a,b,1654,a)]. 1725 x * K(y,x) != z | (y * x) / y = z. [para(1667(a,2),203(a,1,2))]. 1726 (K(x,y) * z) \ T(y,x \ y) != u | L(z \ y,z,K(x,y)) = u. [para(1675(a,2),412(a,1,2))]. 1727 K(x,y * x) = K(x,y). [hyper(57,a,1597,a(flip),b,1679,a)]. 1728 K(x,y / x) = K(x,y). [para(7(a,1),1727(a,1,2)),flip(a)]. 1729 K(x,x \ y) * (y / x) = (x * (y / x)) / x. [para(1682(a,1),1612(a,2,1)),flip(a)]. 1730 K(x \ y,y) = K(y,x). [hyper(57,a,1719,a(flip),b,1684,a)]. 1731 K(x,x / y) = K(y,x). [para(72(a,1),1730(a,1,1)),flip(a)]. 1732 K(1 / x,y) = K(x \ 1,y). [para(72(a,1),1710(a,1,1,1)),flip(a)]. 1733 K(R(x,y,x),z) = K(x,z). [para(629(a,2),1710(a,1,1))]. 1734 K(L(x,y,x),z) = K(x,z). [para(600(a,1),1733(a,1,1))]. 1735 K(R(x,y,R(x,z,u)),w) = K(x,w). [para(657(a,2),1733(a,1,1))]. 1736 K(a(x,y,x) * z,u) = K(z,u). [para(853(a,1),1733(a,1,1))]. 1737 K(a(x,y,x) \ z,u) = K(z,u). [para(640(a,1),1734(a,1,1))]. 1738 K(x \ (x * y),z) = K(y,z). [para(1622(a,1),1734(a,1,1))]. 1739 K(x,1 / y) = K(x,y \ 1). [para(72(a,1),1712(a,1,2,1)),flip(a)]. 1740 K(x,R(y,z,y)) = K(x,y). [para(629(a,2),1712(a,1,2))]. 1741 K(x,T(y,1 / y)) = K(x,y). [para(777(a,2),1712(a,1,2))]. 1742 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(912(a,1),1712(a,1,2)),flip(a)]. 1743 K(x,L(y,z,y)) = K(x,y). [para(600(a,1),1740(a,1,2))]. 1744 K(x,a(y,z,y) * u) = K(x,u). [para(853(a,1),1740(a,1,2))]. 1745 K(x,a(y,z,y) \ u) = K(x,u). [para(640(a,1),1743(a,1,2))]. 1746 K(x,T(y / z,y)) = K(x,z \ y). [para(716(a,1),1743(a,1,2))]. 1747 K((x \ y) \ y,x \ y) = K(x,x \ y). [hyper(57,a,1688,a,b,1720,a)]. 1748 K((x / y) \ x,z) = K(y,z). [para(7(a,1),1738(a,1,1,2))]. 1749 K(T(x,y) / y,z) = K(y \ x,z). [para(648(a,1),1738(a,1,1,2)),flip(a)]. 1750 x * K((1 / y) \ x,y \ 1) = ((1 / y) \ x) * (1 / y). [para(1739(a,1),227(a,1,2))]. 1751 K(x \ 1,y) != z | K(y,x) = z. [para(1711(a,2),1629(a,1))]. 1752 K(x,x \ y) != z | K(x,y) = z. [para(884(a,2),1649(a,1))]. 1754 K(K(x,x \ 1) * y,z) = K(y,z). [para(634(a,2),1736(a,1,1,1))]. 1755 K(T(x * y,x),z) = K(y * x,z). [para(838(a,2),1736(a,1,1))]. 1756 K(x * (a(y,z,y) \ u),w) = K(x * u,w). [para(950(a,1),1737(a,1,1))]. 1757 K(x,T(y * z,y)) = K(x,z * y). [para(838(a,2),1744(a,1,2))]. 1758 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(898(a,1),1744(a,1,2))]. 1759 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(948(a,2),1744(a,1,2))]. 1760 K(x,y * (z * a(u,w,u))) = K(x,y * z). [para(951(a,1),1744(a,1,2))]. 1761 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(1089(a,1),1744(a,1,2)),flip(a)]. 1762 K(x,(y * a(z,u,z)) * w) = K(x,y * w). [para(1276(a,1),1744(a,1,2))]. 1763 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [para(1278(a,2),1744(a,1,2))]. 1764 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [para(1299(a,1),1745(a,1,2))]. 1765 K(x,y) != z | K(y,x \ 1) = z. [para(614(a,1),1751(a,1,1))]. 1766 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1696(a,2),1751(a,1))]. 1767 K(x \ 1,y \ 1) != z | K(x,y) = z. [para(1698(a,2),1751(a,1))]. 1768 K(x,y) != z | K(y \ 1,x) = z. [para(1697(a,1),1751(a,1))]. 1769 K(x,y) != z | K(x,x * y) = z. [para(4(a,1),1752(a,1,2))]. 1770 K(x,L(y \ z,y,x / y)) != u | K(x,(x / y) * z) = u. [para(299(a,2),1752(a,1,2))]. 1771 K(x,y \ x) != z | K(y,x) = z. [para(1720(a,2),1752(a,1))]. 1773 x \ (T(x,y) * z) = K(x,y) * z. [hyper(101,a,1596,a)]. 1774 K(x,y) * K(y,x) = 1. [hyper(99,a,1590,a(flip),b,1596,a),flip(a)]. 1775 K(x / y,z) * x = y * T(y \ x,z). [hyper(28,a,511,a,b,1596,a),flip(a)]. 1776 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(28,a,500,a,b,1596,a),flip(a)]. 1777 T(x,y) * (x \ z) = K(x,y) * z. [hyper(28,a,495,a,b,1596,a)]. 1778 K(x,y) * (x * z) = T(x,y) * z. [hyper(28,a,493,a(flip),b,1596,a),flip(a)]. 1779 T(x,y) * z != x * u | K(x,y) * z = u. [para(1596(a,1),37(a,1))]. 1780 T(x,y \ x) * z = x * (K(y,x) * z). [para(1719(a,1),1596(a,1,2,1)),flip(a)]. 1781 1 / K(x,y) = K(y,x). [hyper(105,a,1774,a)]. 1782 K(x,y) \ 1 = K(y,x). [hyper(101,a,1774,a)]. 1783 x / (K(y,z) * K(z,y)) != u | x = u. [para(1774(a,2),140(a,1,2))]. 1785 K(x,y) \ 1 != z | K(y,x) = z. [para(1774(a,1),241(a,1,2))]. 1786 (K(x,y) * z) / K(x,y) = T(z,K(y,x)). [para(1782(a,1),1021(a,1,2)),flip(a)]. 1787 T(T(x,K(y,z)),K(z,y)) = x. [para(1782(a,1),1025(a,1,2))]. 1788 K(x,y) * (z / K(x,y)) = T(z,K(y,x)). [para(1782(a,1),1024(a,1,2)),flip(a)]. 1789 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(1782(a,1),1034(a,1,2))]. 1790 K(K(x,y),z) = K(z,K(y,x)). [para(1782(a,1),1696(a,1,2)),flip(a)]. 1791 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(1782(a,1),1751(a,1,1))]. 1792 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(1787(a,1),43(a,1)),flip(a)]. 1793 T(T(x,K(y,z)),u) * K(z,y) = K(z,y) * T(x,u). [para(1787(a,1),188(a,1,2,1)),flip(a)]. 1794 K(x \ (x / y),x) = K(y \ 1,x). [hyper(522,a,1630,a)]. 1795 x * T(x \ 1,y) = K(1 / x,y). [hyper(230,a,1732,a,b,1630,a),flip(a)]. 1796 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(101,a,1630,a)]. 1797 K(x \ 1,y) \ (x * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),x). [para(1630(a,1),13(a,2,1)),flip(a)]. 1799 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(1630(a,1),551(a,1,2)),flip(a)]. 1800 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(1630(a,1),561(a,1,1))]. 1802 K(x / y,y) = K(y \ x,y). [hyper(28,a,1636,a(flip),b,1639,a(flip)),flip(a)]. 1803 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [para(1639(a,1),892(a,2,2)),flip(a)]. 1804 K(x / y,y) = K(x,y). [hyper(230,a,1688,a(flip),b,1802,a),flip(a)]. 1805 x * K(x / y,y) = (y \ x) * y. [para(1802(a,2),227(a,1,2))]. 1806 K(x * y,y) = K(x,y). [para(6(a,1),1804(a,1,1)),flip(a)]. 1807 K(x * y,y) = K(y * x,y). [hyper(230,a,1689,a,b,1806,a),flip(a)]. 1808 x * K(y,y \ z) != z / y | y \ z = x. [para(1640(a,1),38(a,1)),flip(a)]. 1809 (x \ y) * K(x,y) = y / x. [para(1597(a,1),1640(a,1,2))]. 1810 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(1642,a,1641,a)]. 1811 K(x,y) * (x \ y) = y / x. [para(1728(a,1),1648(a,1,1))]. 1812 R(K(x,y),x \ y,z) * ((x \ y) * z) = (y / x) * z. [para(1811(a,1),89(a,2,1))]. 1813 L(T(K(x,y),x \ y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). [para(1811(a,1),302(a,2,1))]. 1814 (x * y) * L(K(z,z \ y),y,x) = x * (z * (y / z)). [para(1721(a,1),81(a,2,2))]. 1815 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(69(a,1),1746(a,1,2,1)),flip(a)]. 1816 K(x / T(y,x),z) = K(y \ x,z). [para(723(a,1),1749(a,1,1))]. 1817 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(997(a,1),1754(a,1,1))]. 1818 K(x,(y \ z) * y) = K(x,T(z,y)). [para(5(a,1),1757(a,1,2,1)),flip(a)]. 1819 K(x,y) * (T(x,y) \ z) = x \ z. [para(5(a,1),1773(a,1,2)),flip(a)]. 1820 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(101,a,1777,a)]. 1821 T(x,y) \ K(x,y) = x \ 1. [hyper(28,a,134,a,b,1777,a)]. 1822 (x * T(y,z)) \ (x * (K(y,z) * u)) = L(y \ u,T(y,z),x). [para(1777(a,1),13(a,2,2,2)),flip(a)]. 1823 T(x,y) \ (K(x,y) * z) != u | x \ z = u. [para(1777(a,1),241(a,1,2))]. 1824 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(1777(a,1),336(a,1))]. 1826 K(x \ y,z) * T(y,x) = T(x \ y,z) * x. [para(684(a,1),1777(a,1,2)),flip(a)]. 1827 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(1589(a,2),1777(a,1,2)),flip(a)]. 1828 T(x * y,x) * ((x * y) \ z) = K(y,x) * z. [para(1689(a,1),1777(a,2,1))]. 1829 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(1777(a,1),1773(a,1,2))]. 1830 (T(x,y) * z) / (x * z) = K(x,y). [hyper(105,a,1778,a)]. 1832 K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. [para(94(a,1),1778(a,2,1))]. 1833 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(1778(a,1),242(a,1))]. 1834 (x * K(y,z)) \ (x * (T(y,z) * u)) != w | L(y * u,K(y,z),x) = w. [para(1778(a,1),295(a,1,2,2))]. 1835 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(1778(a,1),315(a,1,1,1))]. 1836 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(1778(a,1),287(a,1,1))]. 1837 K(K(x,y),z) * (x * y) = T(K(x,y),z) * (y * x). [para(878(a,1),1778(a,1,2))]. 1839 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(1790(a,1),1778(a,1,1))]. 1840 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(57,a,1546,a,b,1794,a)]. 1841 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(1794(a,1),227(a,1,2)),flip(a)]. 1842 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [para(1794(a,1),556(a,1,2))]. 1843 K(1 / x,y) / x = T(1 / x,y). [para(1795(a,1),276(a,1,1))]. 1844 T(x \ 1,y) = x \ K(y,x). [para(1698(a,1),1796(a,1,2)),flip(a)]. 1845 T(x \ 1,y) = T(x,y) \ 1. [hyper(230,a,1591,a,b,1844,a),flip(a)]. 1846 T(x \ 1,y \ x) = x \ K(x,y). [para(1730(a,1),1844(a,2,2))]. 1847 T(x \ 1,y) \ 1 = T(x,y). [hyper(623,a,1845,a(flip))]. 1848 T(L(x,y,z) \ 1,u) = L(T(x,u),y,z) \ 1. [para(20(a,2),1845(a,2,1))]. 1849 T(x \ 1,y) != z \ 1 | T(x,y) = z. [para(1845(a,2),42(a,1))]. 1850 (T(x,y) * (T(x \ 1,y) * z)) \ (1 * z) = a(T(x,y),T(x,y) \ 1,z). [para(1845(a,2),77(a,1,1,2,1))]. 1851 T((x / y) \ 1,x) = (y \ x) \ 1. [para(695(a,1),1845(a,2,1))]. 1852 T(x \ 1,y) * R(T(x,y),z,u) = T(x,y) \ R(T(x,y),z,u). [para(1845(a,2),631(a,1,1))]. 1853 T(x \ 1,y) * L(T(x,y),z,u) = T(x,y) \ L(T(x,y),z,u). [para(1845(a,2),659(a,1,1))]. 1854 T((x \ y) \ 1,x \ 1) = (y / x) \ 1. [para(1026(a,1),1845(a,2,1))]. 1855 T(x \ 1,y) * (T(x,y) / z) = (z \ T(x,y)) * (T(x,y) \ 1). [para(1845(a,2),1053(a,1,1))]. 1856 L(x,T(y \ 1,z),T(y,z)) = L(x,T(y,z),T(y,z) \ 1). [para(1845(a,2),1142(a,1,2))]. 1857 T(x,y) * R(T(x \ 1,y),z,u) = T(x * R(x \ 1,z,u),y). [para(1845(a,2),1446(a,1,2,1))]. 1858 T(x,y) * L(T(x \ 1,y),z,u) = T(x * L(x \ 1,z,u),y). [para(1845(a,2),1487(a,1,2,1))]. 1859 T(x,y) \ 1 != z | T(x \ 1,y) = z. [para(1847(a,1),618(a,1,1))]. 1860 L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). [para(1847(a,1),1473(a,1,3,1)),flip(a)]. 1861 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(94(a,2),1815(a,1,2))]. 1862 K(x,T(y,z * y)) = K(x,T(y,z)). [para(779(a,2),1815(a,1,2)),flip(a)]. 1863 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(800(a,1),1818(a,1,2)),flip(a)]. 1865 K(x,y) * (T(x * y,y) \ z) = (x * y) \ z. [para(1806(a,1),1819(a,1,1))]. 1866 R(T(x,y) / x,x,z) = K(x,y). [hyper(346,a,1830,a)]. 1867 x * (T(x,y) \ z) = K(x,y) \ z. [para(1830(a,1),232(a,1,1)),flip(a)]. 1868 R(K(x,y),x,z) = K(x,y). [para(1604(a,2),1866(a,1,1))]. 1869 T(x \ 1,T(y \ x,x \ 1)) = x \ K(x,y). [hyper(57,a,762,a,b,1846,a)]. 1870 (x \ K(x,y)) \ 1 = T(x,y \ x). [para(1846(a,1),1847(a,1,1))]. 1871 ((x / y) \ 1) * x = x * ((y \ x) \ 1). [para(1851(a,1),93(a,1,2)),flip(a)]. 1872 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1041(a,1),1861(a,1,2))]. 1873 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(17(a,2),1867(a,1,2)),flip(a)]. 1874 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(110,a,1601,a(flip))]. 1875 T(x,K(y,y * z)) = T(x,K(y,z)). [para(1659(a,1),1066(a,1,2)),flip(a)]. 1876 R(x,y,K(z,z * u)) = R(x,y,K(z,u)). [para(1659(a,1),1239(a,1,3)),flip(a)]. 1877 K(x,x * y) * (a(z,u,z) * w) = K(x,y) * w. [para(1659(a,1),1295(a,1,1)),flip(a)]. 1878 K(x * y,x) = a(z,u,z) * K(y,x). [hyper(230,a,798,a,b,1691,a),flip(a)]. 1880 K(x * y,x) != z | K(y,x) = z. [para(1691(a,2),611(a,1))]. 1881 K(x * y,x) * z = K(y,x) * (a(u,w,u) * z). [para(1691(a,2),1295(a,1,1))]. 1884 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(1692(a,1),1470(a,1,3)),flip(a)]. 1885 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(669(a,1),1761(a,1,2,1)),flip(a)]. 1886 K(x,y \ 1) != z | K(x,1 / y) = z. [para(72(a,1),1766(a,1,2,1))]. 1887 K(x,R(y,z,y)) != u | K(x,y) = u. [para(629(a,2),1766(a,1,2))]. 1888 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(912(a,1),1766(a,1,2))]. 1889 K(x,L(y,z,y)) != u | K(x,y) = u. [para(600(a,1),1887(a,1,2))]. 1890 K(x,a(y,z,y) \ u) != w | K(x,u) = w. [para(640(a,1),1889(a,1,2))]. 1891 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(716(a,1),1889(a,1,2))]. 1892 K(x,y \ 1) != z | K(y,x) = z. [para(1696(a,1),1767(a,1))]. 1893 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(1698(a,2),1892(a,1))]. 1894 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(1782(a,1),1892(a,1,2))]. 1895 K(x * y,y) = a(z,u,z) * K(x,y). [hyper(57,a,1807,a,b,1878,a)]. 1896 K(x \ 1,y) != z | K(1 / x,y) = z. [para(72(a,1),1893(a,1,1,1))]. 1897 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(1895(a,2),1540(a,1,1))]. 1898 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(101,a,1603,a)]. 1899 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(57,a,1537,a(flip),b,1603,a)]. 1900 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(1603(a,1),1313(a,2,1))]. 1901 x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z. [para(1603(a,2),1595(a,1))]. 1902 K(x,L(T(T(y,x),z),u,w)) = K(x,L(T(y,z),u,w)). [para(18(a,1),1681(a,1,2,1))]. 1903 R(x,K(y,x),z) = x. [hyper(314,a,1707,a)]. 1904 ((x * y) / x) * z = y * (K(x,y) * z). [para(1593(a,2),1707(a,1,1))]. 1905 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(1640(a,1),1707(a,1,1)),flip(a)]. 1906 R(x,1,y) = x. [para(136(a,1),1903(a,1,2))]. 1907 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(1903(a,1),311(a,1,1,1)),flip(a)]. 1908 R(x,K(x,y),z) = x. [para(1698(a,1),1903(a,1,2))]. 1909 R(x,1,y) != z | x = z. [para(1906(a,1),45(a,2))]. 1910 R(T(x,y),K(x,z),u) = T(x,y). [para(1908(a,1),22(a,2,1))]. 1911 R(x,x \ T(x,y),z) = x. [para(1589(a,1),1908(a,1,2))]. 1912 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(1910(a,1),313(a,1,1,1)),flip(a)]. 1913 K(x,T(1 / y,z)) = K(x,T(y,z) \ 1). [para(1845(a,1),1742(a,2,2))]. 1914 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(105,a,1775,a)]. 1917 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(69(a,1),1775(a,1,1,1)),flip(a)]. 1919 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(230,a,1596,a,b,1776,a)]. 1920 K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). [hyper(230,a,989,a(flip),b,1776,a),flip(a)]. 1921 K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). [hyper(230,a,904,a(flip),b,1776,a),flip(a)]. 1922 K(x,y) * (L(y,z,u) * x) != w | L(y,z,u) * T(x,y) = w. [para(1776(a,2),905(a,1))]. 1923 T(T(x,K(y,z)),K(z,y)) != u | x = u. [para(1786(a,1),238(a,1))]. 1924 T(x,K(y,z)) != u | K(z,y) * (x / K(z,y)) = u. [para(1786(a,1),676(a,1))]. 1925 T(x,K(y,z)) != u | (K(z,y) * x) / K(z,y) = u. [para(181(a,1),1923(a,1,1))]. 1926 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(589(a,1),1923(a,1,1))]. 1927 T(T(x,y),K(x,z)) != u | T(x,y) = u. [para(1703(a,1),1923(a,1,1))]. 1928 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(1789(a,1),188(a,1,2,1)),flip(a)]. 1929 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(230,a,1618,a(flip),b,1827,a)]. 1931 x / ((x \ y) \ 1) = ((y / x) \ 1) \ x. [para(1854(a,1),1040(a,1,1)),flip(a)]. 1932 (((x / y) \ 1) * x) * (y \ x) = L(x,(y \ x) \ 1,y \ x). [para(1871(a,2),1189(a,1,1))]. 1933 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(230,a,1593,a(flip),b,1898,a)]. 1934 (x \ K(y,x \ 1)) * y = y * (x \ 1). [hyper(108,a,1898,a(flip))]. 1935 R(x,y,y \ 1) / (x * y) = y \ K(x * y,y \ 1). [para(207(a,1),1898(a,2,1)),flip(a)]. 1936 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(1904(a,1),431(a,1,1))]. 1937 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(1778(a,1),1904(a,2,2))]. 1938 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ 1). [para(589(a,1),1913(a,2,2,1))]. 1939 (x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u). [para(446(a,1),1914(a,1,1))]. 1940 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(1931(a,2),717(a,1,2,1))]. 1941 (x \ K(x,y)) * y = y * (x \ 1). [para(1696(a,1),1934(a,1,1,2))]. 1942 T(x \ K(x,y),y) = x \ 1. [hyper(191,a,1941,a(flip))]. 1943 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(230,a,1587,a,b,1600,a),flip(a)]. 1944 K(L(x,y,z) * u,x) = K(x * u,x). [para(4(a,1),1943(a,1,1,2)),flip(a)]. 1945 K(L(x,y,z) \ u,x) = K(x \ u,x). [para(1390(a,1),1943(a,1,1))]. 1947 K(x,L(x,y,z) * u) != w | K(x,x * u) = w. [para(1611(a,2),1634(a,1))]. 1948 K(x * K(y * z,y),u) = K(x * K(z,y),u). [para(1692(a,1),1756(a,1,1,2)),flip(a)]. 1949 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(634(a,2),1758(a,1,2,2,1))]. 1950 K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * ((z \ 1) * v5)). [para(1277(a,1),1758(a,1,2,2))]. 1951 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(838(a,2),1759(a,1,2,2))]. 1952 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(700(a,2),1760(a,1,2,2))]. 1953 K(x,y * (z / L(u,w,u))) = K(x,y * (z / u)). [para(1364(a,2),1760(a,1,2,2))]. 1954 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(1395(a,2),1760(a,1,2,2))]. 1955 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [para(700(a,2),1762(a,1,2,1))]. 1956 K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). [para(1364(a,2),1762(a,1,2,1))]. 1957 K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). [para(1395(a,2),1762(a,1,2,1))]. 1958 K(x,K(y * z,y) * u) = K(x,K(z,y) * u). [para(1691(a,2),1762(a,1,2,1))]. 1959 K(x,T(y * z,y) / u) = K(x,(z * y) / u). [para(838(a,2),1763(a,1,2,1))]. 1960 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(644(a,2),1764(a,1,2,1))]. 1961 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(1287(a,1),1764(a,1,2,1)),flip(a)]. 1965 K(x,y) * T(x * R(x \ z,u,w),x) != v5 | T(x,y) * R(x \ T(z,x),u,w) = v5. [para(1312(a,2),1824(a,1,2))]. 1966 K(x,y) * (L(x,z,u) \ x) != w | T(x,y) * (L(x,z,u) \ 1) = w. [para(1383(a,1),1824(a,1,2))]. 1967 K(x,y) * T(x * L(x \ z,u,w),x) != v5 | T(x,y) * L(x \ T(z,x),u,w) = v5. [para(1421(a,2),1824(a,1,2))]. 1968 T(x,y) * z != u | K(x,y) * (x * z) = u. [para(4(a,1),1833(a,1,2))]. 1969 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(17(a,2),1833(a,1,2))]. 1970 K(x,x / y) != z | K(x,y \ x) = z. [para(1678(a,1),1891(a,1))]. 1972 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(1589(a,2),1602(a,1,1)),flip(a)]. 1973 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(614(a,1),1972(a,2,1,2))]. 1974 K(x,T(y,z)) = T(K(x,y),z). [para(1847(a,1),1973(a,1,2))]. 1975 T(K(x,y / z),y) = K(x,z \ y). [hyper(1891,a,1974,a),flip(a)]. 1976 x * T(x \ K(y,z),K(y,z)) = K(y,T(z,x)). [hyper(230,a,826,a,b,1974,a)]. 1977 K(x,y) * K(K(x,y),z) = K(x,T(y,z)). [hyper(230,a,1592,a(flip),b,1974,a)]. 1978 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(18(a,1),1974(a,1,2))]. 1979 x * K(y,T(z,x)) = K(y,z) * x. [para(1974(a,2),93(a,1,2))]. 1980 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(1974(a,2),216(a,1,2))]. 1981 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(1974(a,2),377(a,1,1))]. 1982 K(x,T(y,z / y)) = T(K(x,y),z). [para(776(a,2),1974(a,1,2))]. 1983 K(x,T(y,z)) * (y * x) = (y * x) * T(K(x,y),z). [para(1974(a,2),880(a,1,1))]. 1984 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(1974(a,1),1607(a,1,2))]. 1985 T(x,y) != K(z,u \ y) | K(z,y / u) = x. [para(1975(a,1),43(a,1)),flip(a)]. 1986 (K(x,y) * z) \ (z * (K(x,T(y,z)) * u)) = L(u,K(x,T(y,z)),z). [para(1979(a,1),13(a,2,1)),flip(a)]. 1987 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(18(a,1),1979(a,1,2,2))]. 1988 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(20(a,2),1979(a,1,2,2))]. 1989 K(x,y) * z != u * K(x,T(y,u)) | u = z. [para(1979(a,2),37(a,1)),flip(a)]. 1990 x * K(y,T(z,u)) != K(y,z) * u | u = x. [para(1979(a,1),38(a,1)),flip(a)]. 1991 K(x,y / z) * z = z * K(x,z \ y). [para(95(a,1),1979(a,1,2,2)),flip(a)]. 1992 (x * (y * L(K(z,T(u,y)),y,x))) \ (x * (K(z,u) * y)) = a(x,y,L(K(z,T(u,y)),y,x)). [para(1979(a,1),286(a,1,2,2))]. 1993 K(x,y * z) * y = y * K(x,z * y). [para(589(a,1),1979(a,1,2,2)),flip(a)]. 1994 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1609(a,1),1979(a,1,2,2))]. 1995 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(1974(a,2),1979(a,1,2,2))]. 1997 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [para(1790(a,1),1977(a,1,2))]. 1998 K(x,T(T(y,z),u * y)) = T(K(x,T(y,u)),z). [para(778(a,1),1978(a,2,1,2))]. 1999 T(K(x,y),K(z,x)) = K(x,y). [hyper(191,a,1994,a(flip))]. 2001 T(K(x,y),K(x,z)) = K(x,y). [hyper(1792,a,1999,a)]. 2002 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1999(a,1),216(a,1,2))]. 2003 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(1999(a,1),189(a,1,2,1)),flip(a)]. 2004 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1999(a,1),262(a,1,2,1))]. 2006 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(1647(a,1),1997(a,1,2,2))]. 2007 K(x,x \ y) * K(z,K(y,x)) = K(x,T(x \ y,z)). [para(1688(a,1),1997(a,1,2,2))]. 2008 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(143(a,1),1980(a,1,2,2))]. 2009 (K(x,K(y,z)) * K(y,T(z,x))) * y = T(y,z). [para(1974(a,2),1653(a,1,1,2))]. 2010 L(x,y,z) \ L(x * K(u,x),y,z) = K(u,L(x,y,z)). [para(1670(a,2),1667(a,2,2)),flip(a)]. 2011 ((x * K(y,y \ z)) * (z / y)) / a(x,K(y,y \ z),z / y) = x * ((y * (z / y)) / y). [para(1729(a,1),150(a,2,2))]. 2012 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = (x * y) * T(L(z,y,x),u). [para(13(a,2),1799(a,1,2,1)),flip(a)]. 2013 x * T(x \ y,z) = y * K(z,y \ x). [para(1698(a,1),1799(a,2,2))]. 2014 x \ T(x * y,z) = y * K(z,y \ (x \ 1)). [hyper(57,a,456,a(flip),b,2013,a)]. 2015 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(230,a,1799,a(flip),b,1800,a),flip(a)]. 2016 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(230,a,468,a(flip),b,1800,a),flip(a)]. 2017 K((x / y) \ 1,z) = K(y / x,z). [hyper(29,a,1775,a,b,1800,a),flip(a)]. 2018 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(4(a,1),1800(a,2,2,1))]. 2019 K(1 / (x / y),z) = K(y / x,z). [hyper(1896,a,2017,a)]. 2020 K(x / y,z) = K(z,y / x). [hyper(1751,a,2017,a),flip(a)]. 2021 K(x / (y * x),z) = K(y \ 1,z). [para(6(a,1),2017(a,1,1,1)),flip(a)]. 2022 K(x / y,z) != u | K(z,y / x) = u. [para(2017(a,1),1751(a,1))]. 2023 K(x * ((y / z) \ 1),x) = K(z / y,x) * a(u,w,u). [para(2017(a,1),1691(a,2,1))]. 2024 K(x \ 1,y / z) = K(x,z / y). [hyper(1892,a,2020,a),flip(a)]. 2025 K(x,(y / z) \ 1) = K(x,z / y). [hyper(1765,a,2020,a)]. 2026 K((x * y) \ x,z) = K(y \ 1,z). [para(726(a,1),2021(a,1,1))]. 2027 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(2021(a,1),1805(a,1,2)),flip(a)]. 2028 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(2021(a,2),1896(a,1))]. 2029 K(x,y / z) != u | K(z / y,x) = u. [para(2024(a,1),1751(a,1))]. 2030 K(x,1 / (y / z)) = K(x,z / y). [hyper(1886,a,2025,a)]. 2031 K(x,y / (z * y)) = K(x,z \ 1). [para(6(a,1),2025(a,1,2,1)),flip(a)]. 2032 K((x \ y) \ 1,z) = K(y \ x,z). [para(5(a,1),2026(a,1,1,1)),flip(a)]. 2034 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(2026(a,1),227(a,1,2)),flip(a)]. 2035 K(x,y / (z * y)) = K(x,1 / z). [para(6(a,1),2030(a,1,2,2)),flip(a)]. 2036 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(2031(a,1),1648(a,1,1))]. 2037 K(x,y / (z * y)) != u | K(x,1 / z) = u. [para(2031(a,2),1886(a,1))]. 2038 K(1 / (x \ y),z) = K(y \ x,z). [hyper(1896,a,2032,a)]. 2039 K(x \ y,z) = K(z,y \ x). [hyper(1751,a,2032,a),flip(a)]. 2040 K((x * (y \ z)) \ x,u) = K(z \ y,u). [hyper(57,a,2026,a,b,2032,a)]. 2041 K(x \ y,y \ x) = 1. [hyper(57,a,615,a(flip),b,2032,a),flip(a)]. 2042 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(83(a,2),2032(a,1,1,1))]. 2043 K(x \ y,z) != u | K(z,y \ x) = u. [para(2032(a,1),1751(a,1))]. 2044 x * T(x \ y,z) = y * K(x \ y,z). [para(2032(a,1),1799(a,2,2))]. 2045 T(x \ y,y \ x) = x \ y. [hyper(50,a,2041,a)]. 2046 K(x \ 1,y \ z) = K(x,z \ y). [hyper(1892,a,2039,a),flip(a)]. 2047 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(1765,a,2039,a)]. 2048 K(x,y \ (y / z)) = K(z,x). [hyper(57,a,1748,a(flip),b,2039,a),flip(a)]. 2049 (x \ y) * K(z,y \ x) = T(x \ y,z). [para(2039(a,1),1592(a,2,2)),flip(a)]. 2050 K(x \ y,z) * z = T(z,y \ x). [para(2039(a,2),1610(a,2,1)),flip(a)]. 2051 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(2039(a,1),1635(a,2,2))]. 2053 K(x \ y,x) != z | K(y,x) = z. [para(2039(a,2),1771(a,1))]. 2054 K(x \ 1,y \ z) != u | K(x,z \ y) = u. [para(2039(a,1),1892(a,1))]. 2055 T(x \ y,z) * (y \ x) = (y \ x) * T(x \ y,z). [para(2045(a,1),188(a,1,2,1)),flip(a)]. 2056 L(x \ y,z,u) * (y \ x) = (y \ x) * L(x \ y,z,u). [para(2045(a,1),189(a,1,2,1)),flip(a)]. 2057 (x \ y) * L(y \ x,z,u) != w | L(y \ x,z,u) * (x \ y) = w. [para(2045(a,1),262(a,1,2,1))]. 2058 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2045(a,1),1979(a,1,2,2)),flip(a)]. 2059 K((x \ (x / y)) * z,x \ (x / y)) = K(y,z). [hyper(57,a,1689,a,b,2048,a)]. 2060 (x / y) * T((x / y) \ x,z) = x * K(y,z). [para(2048(a,1),2013(a,2,2))]. 2063 K(x,y \ z) != u | K(z \ y,x) = u. [para(2046(a,1),1751(a,1))]. 2064 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(1886,a,2047,a)]. 2065 K(x,((y * z) \ y) \ 1) = K(x,z). [para(4(a,1),2047(a,2,2))]. 2066 T(T(x,y \ z),z \ y) = x. [para(2050(a,1),1677(a,1,1))]. 2067 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(1032,a,2066,a)]. 2068 T((x \ y) \ z,y \ x) = z / (x \ y). [hyper(199,a,2066,a),flip(a)]. 2069 T(x,y \ z) != u | T(u,z \ y) = x. [para(2066(a,1),43(a,1)),flip(a)]. 2070 T(x,y \ z) * (z \ y) = (z \ y) * x. [para(2066(a,1),93(a,1,2)),flip(a)]. 2071 K((x \ y) \ T(z,y \ x),u) = K(z / (x \ y),u). [para(2066(a,1),1749(a,1,1,1)),flip(a)]. 2072 K(x,1 / (y \ x)) = K(x,y / x). [hyper(230,a,1682,a,b,2064,a),flip(a)]. 2073 T(x,(y * z) \ y) = T(x,z \ 1). [para(4(a,1),2067(a,1,2,1)),flip(a)]. 2074 T(x,((y * z) \ y) \ 1) = T(x,z). [para(4(a,1),2067(a,2,2))]. 2075 T(x,y \ (y / z)) = T(x,z \ 1). [para(72(a,1),2067(a,1,2,1)),flip(a)]. 2076 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(2067(a,1),1872(a,1,2)),flip(a)]. 2077 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(275,a,2073,a),flip(a)]. 2078 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [para(2073(a,1),93(a,1,2))]. 2079 T(x,y / (z * y)) = T(x,z \ 1). [para(726(a,2),2073(a,1,2))]. 2080 T(x,(y / z) \ 1) = T(x,z / y). [para(727(a,1),2073(a,1,2)),flip(a)]. 2081 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(2074(a,1),1063(a,1,2))]. 2082 T(x,y \ (y / z)) = T(x,1 / z). [hyper(230,a,1054,a,b,2075,a),flip(a)]. 2083 T(1 / (1 / x),y \ (y / x)) = x. [hyper(230,a,913,a(flip),b,2075,a),flip(a)]. 2086 (1 / (1 / x)) * (y \ (y / x)) = (y \ (y / x)) * x. [para(2083(a,1),93(a,1,2)),flip(a)]. 2087 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(1696(a,2),2022(a,1))]. 2088 K(a(x,y,(x * y) \ z),u) != w | K(u,z \ (x * (y * ((x * y) \ z)))) = w. [para(78(a,1),2043(a,1,1))]. 2089 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(1696(a,2),2043(a,1))]. 2090 K(x,y) != z | K(x,x \ y) = z. [para(1730(a,1),2043(a,1))]. 2093 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(1698(a,2),2063(a,1))]. 2094 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(1819(a,1),2040(a,1,1,1))]. 2095 K(x / y,z) * x = x * K(y \ x,z). [hyper(57,a,1775,a,b,2044,a)]. 2096 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(101,a,2044,a(flip))]. 2099 (x * K(y \ x,z)) / y = T(x / y,z). [para(2044(a,1),276(a,1,1))]. 2100 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(2051(a,2),1607(a,1))]. 2101 T(x \ y,x \ 1) = y / (1 \ x). [para(59(a,1),2068(a,1,1,1))]. 2102 (x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x). [para(589(a,1),2070(a,1,1))]. 2103 (x / ((y \ z) \ 1)) * (z \ y) = (z \ y) * (((y \ z) \ 1) \ x). [para(1030(a,1),2070(a,1,1))]. 2104 T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x. [para(72(a,1),2077(a,1,2))]. 2105 (x \ 1) * (((y * x) \ y) \ y) = (y * x) * (x \ 1). [para(2077(a,1),93(a,1,2))]. 2106 T(K(x / y,z),x) = K(y \ x,z). [hyper(191,a,2095,a(flip))]. 2107 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(2096(a,1),203(a,1,2))]. 2108 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [para(446(a,1),2096(a,1,2))]. 2109 T(x,K(y \ x,z)) \ (y * T(y \ x,z)) = T(x \ (y * T(y \ x,z)),x). [para(2096(a,1),819(a,1,1,2))]. 2110 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(90(a,2),2087(a,1,2,1))]. 2111 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(613(a,2),2089(a,1,2))]. 2113 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(83(a,2),2093(a,1,1,1))]. 2115 K(x,y \ z) * T(y,z) = T(z \ y,x) * z. [para(2039(a,1),1826(a,1,1))]. 2116 (x * y) * ((y * x) \ z) = K(x,y) * z. [para(589(a,1),1828(a,1,1))]. 2117 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(336,a,2116,a),flip(a)]. 2118 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(101,a,2116,a)]. 2120 K(x * y,z) * (K(x,y) * u) = T(x * y,z) * ((y * x) \ u). [para(2116(a,1),1778(a,1,2))]. 2121 K(x \ 1,x / y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). [hyper(230,a,1228,a(flip),b,2117,a),flip(a)]. 2122 (x * (L(y,z,u) \ y)) \ (K(x,y) * ((y * x) * (L(y,z,u) \ 1))) = a(x,y,L(y,z,u) \ 1). [para(2117(a,2),1386(a,1,2))]. 2123 K(x,y) * (x \ ((y * x) * z)) = x \ ((x * y) * z). [para(2117(a,1),1829(a,1,2)),flip(a)]. 2124 K(x,y) * (K(y,x) * z) = z. [hyper(32,a,2118,a(flip),b,2118,a),flip(a)]. 2126 T(x * y,(y * x) \ z) != u | T(x * y,K(x,y) * z) = u. [para(2118(a,1),791(a,1,2))]. 2127 (x * y) \ T(x,y) = (y * x) \ x. [para(1598(a,1),2118(a,1,2)),flip(a)]. 2128 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(1989,a,2124,a),flip(a)]. 2129 K(x,y) \ z = K(y,x) * z. [hyper(242,a,2124,a),flip(a)]. 2130 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(191,a,2124,a),flip(a)]. 2131 x / (K(y,z) * x) = K(z,y). [hyper(105,a,2124,a)]. 2132 K(x \ 1,x) * (1 / y) = y \ 1. [hyper(57,a,997,a(flip),b,2124,a)]. 2133 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [hyper(28,a,1997,a,b,2124,a),flip(a)]. 2134 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(28,a,1819,a,b,2124,a),flip(a)]. 2135 K(x,y) * (T(y,x) * z) = y * z. [hyper(28,a,1778,a,b,2124,a),flip(a)]. 2136 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(28,a,1775,a,b,2124,a),flip(a)]. 2137 K(x,y) * (L(z,u,K(y,x)) * (K(y,x) * u)) = u * T(z,K(y,x) * u). [hyper(28,a,353,a,b,2124,a),flip(a)]. 2138 a(x,y,x) = K(z,u) * K(z * u,z). [hyper(28,a,1691,a(flip),b,2124,a)]. 2139 K(x,y) * ((y * x) / y) = x. [hyper(28,a,1612,a(flip),b,2124,a),flip(a)]. 2140 K(x,y) * z != u | K(y,x) * u = z. [para(2124(a,1),37(a,1)),flip(a)]. 2141 x / (K(y,z) * x) != u | K(z,y) = u. [para(2124(a,1),235(a,1,1))]. 2142 K(x,y) \ z != u | K(y,x) * z = u. [para(2124(a,1),241(a,1,2))]. 2143 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(2124(a,1),83(a,2,2))]. 2144 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(2124(a,1),589(a,1,1)),flip(a)]. 2145 K(x \ 1,x) * ((y * (1 / y)) * z) = z. [para(736(a,1),2124(a,1,2,1))]. 2146 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(2124(a,1),738(a,1,1))]. 2147 T(x,y) * (K(y,x) * z) = x * z. [para(2124(a,1),1596(a,1,2)),flip(a)]. 2148 x \ (K(y,x) * z) = T(x,y) \ z. [para(2124(a,1),1820(a,1,2)),flip(a)]. 2149 K(x * y,x) = K(x,y) \ a(z,u,z). [hyper(230,a,1691,a,b,2129,a)]. 2150 x * (T(x,y) \ z) = K(y,x) * z. [hyper(57,a,1867,a,b,2129,a)]. 2151 x / T(K(y,z),x) = K(z,y) * x. [hyper(57,a,697,a,b,2129,a)]. 2152 K(x,y) * (K(y,x) * z) != u | z = u. [para(2129(a,1),203(a,1,2))]. 2153 K(x,y) * (z * K(y,x)) != u | T(z,K(y,x)) = u. [para(2129(a,1),244(a,1))]. 2154 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(2129(a,1),222(a,1,1))]. 2155 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(2129(a,2),589(a,1,1))]. 2156 (K(x,y) * z) \ z = T(K(y,x),z). [para(2129(a,1),693(a,2,1)),flip(a)]. 2157 (K(x,y) * z) * K(y,x) != u | T(z,K(y,x)) = u. [para(2129(a,1),709(a,1,1))]. 2158 T(K(x,y),z) \ u = K(T(y,z),x) * u. [para(1974(a,1),2129(a,1,1))]. 2159 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(2129(a,1),2089(a,1,2,1))]. 2160 (x * K(y,z)) \ x = K(z,y). [hyper(57,a,726,a(flip),b,2131,a)]. 2162 T(K(x,y),z) != u | (K(y,x) * z) \ z = u. [para(2131(a,1),1657(a,1,1))]. 2163 (x * y) / (T(x,z) * y) = K(z,x). [para(1778(a,1),2131(a,1,2))]. 2164 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [para(1800(a,1),2131(a,1,2))]. 2165 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(75(a,1),2139(a,1,2,1))]. 2166 x / K(y,z) = x * K(z,y). [hyper(160,a,2160,a)]. 2167 (x * K(y,z)) * K(z,y) = x. [hyper(110,a,2160,a)]. 2169 x / K(y,z) != u | x * K(z,y) = u. [para(2160(a,1),237(a,1,2))]. 2170 K(x,y) = ((y * x) / y) \ x. [para(1593(a,2),2160(a,1,1)),flip(a)]. 2171 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [para(1799(a,2),2160(a,1,1))]. 2172 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(2044(a,2),2160(a,1,1))]. 2173 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(2160(a,2),2129(a,1,1))]. 2174 x * K(y,z) != u | u * K(z,y) = x. [para(2166(a,1),108(a,1))]. 2175 (x * K(y,z)) \ x != u | K(z,y) = u. [para(2166(a,1),243(a,1,1))]. 2176 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(2166(a,1),225(a,1,1,1))]. 2177 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(2166(a,1),225(a,1,1))]. 2178 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(2166(a,1),2030(a,2,2))]. 2179 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(1990,a,2167,a),flip(a)]. 2180 (x / y) * K(y \ x,y) = y \ x. [hyper(1808,a,2167,a),flip(a)]. 2181 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(29,a,1994,a,b,2167,a),flip(a)]. 2182 (K(x,y) * T(x,z)) * K(z,x) = T(x,y). [hyper(29,a,1827,a(flip),b,2167,a),flip(a)]. 2183 (x * y) * a(x,y * K(z,u),K(u,z)) = (x * (y * K(z,u))) * K(u,z). [para(2167(a,1),75(a,1,1,2))]. 2184 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(2167(a,1),295(a,1,2,2))]. 2185 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(2167(a,1),376(a,1,1,2))]. 2186 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * K(y,x))) * y. [para(2170(a,2),1509(a,1,1,2,2)),flip(a)]. 2187 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(1671(a,2),2170(a,2,1)),flip(a)]. 2188 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(205(a,1),2127(a,1,1))]. 2189 ((x * y) \ y) * T(y * x,x \ 1) = T(y,x). [para(2127(a,1),1132(a,1,1))]. 2190 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(28,a,1819,a,b,2128,a),flip(a)]. 2191 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [para(2132(a,1),1284(a,1,1)),flip(a)]. 2192 T(x,y) \ (x * z) = K(y,x) * z. [hyper(336,a,2134,a),flip(a)]. 2193 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(230,a,1821,a(flip),b,2134,a),flip(a)]. 2194 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(17(a,2),2134(a,1,2)),flip(a)]. 2195 T(x / y,z) \ x = K(z,x / y) * y. [para(72(a,1),2134(a,1,2)),flip(a)]. 2196 K(x,y) * (T(K(x,y),z) * (y \ u)) = T(K(x,y),z) * (T(y,x) \ u). [para(2134(a,1),493(a,1,2)),flip(a)]. 2197 K(x,x * y) * ((x * y) \ z) = (y * x) \ z. [para(589(a,1),2134(a,2,1))]. 2198 K(x,y \ z) * T(y,z) = T(y \ z,x) \ z. [para(693(a,2),2134(a,1,2))]. 2199 K(x,T(y,y \ z)) * T(y \ z,y) = T(T(y,y \ z),x) \ z. [para(819(a,1),2134(a,1,2))]. 2200 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(1730(a,1),2134(a,1,1)),flip(a)]. 2201 T(x,y) \ (T(x,z) * u) = K(y,x) * (K(x,z) * u). [para(1773(a,1),2134(a,1,2)),flip(a)]. 2203 K(x,y * K(y \ x,y)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. [para(1672(a,1),2134(a,2,1))]. 2204 T(x,y) \ (z * T(z \ x,u)) = K(y,x) * K(z \ x,u). [para(2096(a,1),2134(a,1,2)),flip(a)]. 2205 R(K(x,y),T(y,x) * z,u) = ((y * z) * u) / ((T(y,x) * z) * u). [para(2135(a,1),15(a,2,1,1))]. 2206 T(x,y) * (T(y,x) * z) = x * (y * z). [para(2135(a,1),1596(a,1,2)),flip(a)]. 2207 (x * y) / T(T(x,z),K(z,x) * y) = K(z,x) * y. [para(2147(a,1),152(a,1,1))]. 2208 K(x,y) * (y * z) = y * (K(x,y) * z). [para(2147(a,1),2135(a,1,2))]. 2209 T(x,y \ x) \ z = x \ (K(x,y) * z). [para(1730(a,1),2148(a,1,2,1)),flip(a)]. 2210 T(x,y) \ (y \ x) = x \ (x / y). [para(1811(a,1),2148(a,1,2)),flip(a)]. 2211 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(2148(a,1),1833(a,1,2))]. 2212 x * (T(x,y) \ (T(K(y,x),z) * u)) = T(K(y,x),z) * (K(y,x) * u). [hyper(230,a,493,a,b,2150,a),flip(a)]. 2213 x \ (K(y,x) * z) != u | T(x,y) \ z = u. [para(2150(a,1),241(a,1,2))]. 2214 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(2134(a,2),2150(a,1,2))]. 2215 K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). [para(2150(a,1),2135(a,1,2))]. 2216 x / K(y,T(z,x)) = K(z,y) * x. [para(1974(a,2),2151(a,1,2))]. 2217 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(230,a,1974,a,b,2156,a),flip(a)]. 2218 L(T(K(x,y),z) \ u,(K(y,x) * z) \ z,K(y,x) * z) = z \ ((K(y,x) * z) * u). [para(2156(a,1),298(a,1,1,1))]. 2220 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(105,a,2193,a)]. 2222 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(57,a,688,a,b,2210,a)]. 2223 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(108,a,2216,a)]. 2224 x * K(T(y,x),z) = K(y,z) * x. [hyper(57,a,2166,a(flip),b,2216,a)]. 2225 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(2216(a,1),243(a,1,1))]. 2226 K(T(x,y),z) = K(x,T(z,y)). [hyper(28,a,2179,a,b,2223,a)]. 2227 K(T(x,y),z) = T(K(x,z),y). [hyper(230,a,1974,a(flip),b,2226,a),flip(a)]. 2228 K(T(x,y),y / z) = K(x,z \ y). [hyper(230,a,1746,a(flip),b,2226,a),flip(a)]. 2229 K(x * y,T(z,x)) = K(y * x,z). [hyper(57,a,1755,a(flip),b,2226,a),flip(a)]. 2230 x / T(x,T(y,z)) = K(y,T(x,z)). [hyper(57,a,1587,a(flip),b,2226,a)]. 2231 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(18(a,1),2226(a,2,2))]. 2232 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(20(a,2),2226(a,1,1))]. 2233 K(T(x,y),y) = K(x,y). [para(92(a,1),2226(a,2,2))]. 2234 K(x,T(y,L(x,z,u))) = K(x,y). [para(142(a,1),2226(a,1,1)),flip(a)]. 2235 K(x / y,T(z,y)) = K(y \ x,z). [para(95(a,1),2226(a,1,1)),flip(a)]. 2236 K((x * y) / x,T(z,x)) = K(y,z). [para(181(a,1),2226(a,1,1)),flip(a)]. 2237 K(x,T(y,x * z)) = K(T(x,z),y). [para(606(a,1),2226(a,1,1)),flip(a)]. 2238 K((x \ y) * x,z) = K(y,T(z,x)). [para(649(a,1),2226(a,1,1))]. 2239 K((x \ y) \ y,z) = K(x,T(z,y)). [para(693(a,1),2226(a,1,1))]. 2240 K(x * (y * z),T(u,x * y)) = K(L(z,y,x) * (x * y),u). [para(653(a,1),2226(a,1,1)),flip(a)]. 2241 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(2226(a,1),1592(a,2,2)),flip(a)]. 2242 x * K(T(x,y),z) = T(x,T(z,y)). [para(2226(a,2),1592(a,2,2)),flip(a)]. 2243 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(2226(a,1),1610(a,2,1)),flip(a)]. 2245 K(x,T(y,z)) * (K(y,T(x,z)) * u) = u. [para(2226(a,1),2124(a,1,1))]. 2246 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(2226(a,1),2129(a,1,1))]. 2247 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(2226(a,1),2134(a,1,1))]. 2248 x \ (K(y,T(x,z)) * u) = T(x,T(y,z)) \ u. [para(2226(a,1),2148(a,1,2,1))]. 2249 K(x * K(y,x),y) = K(x,y). [para(1594(a,1),2233(a,1,1)),flip(a)]. 2250 T(K(x,y),x * z) = K(T(x,z),y). [para(606(a,1),2227(a,1,1)),flip(a)]. 2251 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(2227(a,1),1610(a,2,1)),flip(a)]. 2252 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [hyper(57,a,1757,a(flip),b,2234,a),flip(a)]. 2253 T(x * K(y,x),L(y,z,u)) = T(x,L(y,z,u)) * K(y,x). [para(2234(a,1),1810(a,1,2)),flip(a)]. 2254 K((x * y) / x,z) * x = x * K(y,z). [para(181(a,1),2224(a,1,2,1)),flip(a)]. 2255 K(x * y,z) * x = x * K(y * x,z). [para(589(a,1),2224(a,1,2,1)),flip(a)]. 2256 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [para(141(a,1),2228(a,1,1))]. 2257 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(141(a,1),2229(a,1,2))]. 2258 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(142(a,1),2229(a,1,2))]. 2259 K(x * (y \ z),T(u,z \ y)) = K((y \ z) * x,u). [para(2066(a,1),2229(a,1,2)),flip(a)]. 2260 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(2230(a,1),1649(a,1))]. 2261 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(142(a,1),2235(a,1,2))]. 2262 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1436(a,1),2236(a,1,1))]. 2263 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(230,a,2226,a(flip),b,2237,a),flip(a)]. 2264 K(x,y \ (z \ y)) = K(z,T(x,y)). [hyper(2043,a,2239,a)]. 2265 x * T(K(x,y),x * z) = T(x,T(y,z)). [para(2250(a,2),2242(a,1,2))]. 2266 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(5(a,1),2263(a,1,2,2)),flip(a)]. 2267 K(T(x,y),z \ 1) = K(x,y \ (z \ y)). [hyper(230,a,1696,a,b,2264,a)]. 2268 a(x,y,R(x,z,u)) = K(w,v5) * K(w * v5,w). [hyper(57,a,1326,a,b,2138,a)]. 2269 a(x,y,x) = K(z,z \ u) * K(u,z). [para(5(a,1),2138(a,2,2,1))]. 2270 a(x,y,x) != K(z,u) * w | K(z * u,z) = w. [para(2138(a,2),37(a,1))]. 2271 K(x,K(y,z)) * u != w | K(x,K(z,y)) * w = u. [para(1790(a,1),2140(a,1,1))]. 2272 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(17(a,2),2142(a,1))]. 2273 K(x * y,x) != z \ a(u,w,u) | K(x,y) = z. [para(2149(a,2),42(a,1))]. 2274 K(x,y) * z != u | K(y,x) \ z = u. [para(5(a,1),2152(a,1,2))]. 2275 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(1819(a,1),2152(a,1,2))]. 2278 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(2226(a,1),2169(a,1,2))]. 2279 L(x \ 1,x,y) = y \ (y / x). [hyper(57,a,1334,a(flip),b,2222,a)]. 2280 (x * y) \ x = x \ (x / y). [hyper(303,a,2279,a)]. 2281 L(x \ 1,x,y / x) = L(x \ 1,x,y). [hyper(230,a,255,a,b,2279,a)]. 2282 (x \ y) \ ((x \ y) / x) = y \ (y / x). [hyper(57,a,2222,a(flip),b,2279,a),flip(a)]. 2283 L(x \ 1,x,y) * z = (y \ (y / x)) * z. [hyper(51,a,2279,a)]. 2284 x * L(y \ 1,y,x) = x / y. [hyper(110,a,2279,a(flip))]. 2285 L(L(x \ 1,y,z),x,u) = L(u \ (u / x),y,z). [para(2279(a,1),25(a,1,1)),flip(a)]. 2286 L((x \ y) \ 1,x \ y,y) = y \ x. [para(69(a,1),2279(a,2,2))]. 2287 (x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)). [para(2279(a,1),290(a,1,2,1))]. 2288 (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). [para(2279(a,1),291(a,1,2,1))]. 2289 L(x,x \ 1,y) = y \ (y / (x \ 1)). [para(614(a,1),2279(a,1,1))]. 2290 T(L(x \ 1,x,y),y) = y \ (x \ y). [para(2279(a,2),755(a,1,1))]. 2291 (L(x,y,z) * u) \ (L(x,y,z) * (u / x)) = L(x \ 1,x,L(x,y,z) * u). [para(665(a,1),2279(a,2,2)),flip(a)]. 2292 L(x \ (x / y),z,y) = L(y \ 1,y,x). [para(2279(a,1),1167(a,1,1))]. 2293 x / (y * x) = x \ (x / y). [hyper(57,a,726,a,b,2280,a)]. 2294 T(x,y) / (x * y) = x \ (x / y). [hyper(57,a,712,a,b,2280,a)]. 2295 (x / y) \ ((x / y) / (y \ 1)) = L(y,y \ 1,x). [hyper(57,a,1409,a(flip),b,2280,a),flip(a)]. 2296 x * ((x * y) \ x) = x / y. [hyper(110,a,2280,a(flip))]. 2297 x / a(x,y,x \ (x / y)) = x * (y * ((x * y) \ x)). [para(2280(a,1),381(a,1,2,3))]. 2298 (x \ (x / y)) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). [para(2280(a,1),1243(a,1,1))]. 2299 (x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(2280(a,1),1246(a,1,1))]. 2300 (x \ (x / y)) * (y * x) = x. [hyper(108,a,2293,a)]. 2301 x * (x / (y * x)) = x / y. [hyper(110,a,2293,a(flip))]. 2302 x / (x * a(x,y,z)) = x \ (x / a(x,y,z)). [para(1458(a,1),2293(a,1,2))]. 2303 (x \ (x / y)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(2293(a,1),1255(a,1,1))]. 2304 (x \ (x / y)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). [para(2293(a,1),1320(a,1,1))]. 2305 x / (x \ y) = x * (y \ x). [para(5(a,1),2296(a,1,2,1)),flip(a)]. 2306 (x \ y) * ((y \ x) * x) = x. [para(69(a,1),2300(a,1,1,2))]. 2307 x / y != x * z | x / (y * x) = z. [para(2301(a,1),37(a,1))]. 2308 (x * y) / ((x * y) \ x) = (x * y) * y. [hyper(230,a,125,a(flip),b,2305,a),flip(a)]. 2309 (x / y) \ y = y * (x \ y). [hyper(57,a,725,a(flip),b,2305,a)]. 2310 (x \ y) \ x = (y \ x) * x. [hyper(101,a,2306,a)]. 2311 ((x \ y) * (y \ x)) \ x = L(x,y \ x,x \ y). [para(2306(a,1),13(a,2,2)),flip(a)]. 2313 x / (x * (y \ x)) = y / x. [hyper(160,a,2309,a)]. 2314 x * ((y * x) \ x) = y \ x. [hyper(57,a,128,a(flip),b,2309,a),flip(a)]. 2315 (x / y) / x = x / (x * y). [para(72(a,1),2313(a,1,2,2)),flip(a)]. 2316 (x * y) \ y = y \ (x \ y). [hyper(101,a,2314,a),flip(a)]. 2317 (x * y) * (y \ (x \ y)) = y. [para(2314(a,1),64(a,1,2,2))]. 2318 ((x \ y) / x) / (x \ y) = (x \ y) / T(y,x). [para(649(a,2),2315(a,2,2))]. 2319 T((x * y) \ x,x * y) = x \ (y \ x). [hyper(57,a,829,a,b,2316,a)]. 2320 (x \ y) \ (x \ (x \ y)) = y \ (x \ y). [hyper(57,a,129,a(flip),b,2316,a),flip(a)]. 2321 T(x,y * x) != z | (x \ (y \ x)) * (y * x) = z. [para(2317(a,1),738(a,1,1))]. 2322 L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x. [hyper(28,a,254,a(flip),b,2284,a),flip(a)]. 2323 x * L(y,y \ 1,x) = x / (y \ 1). [para(614(a,1),2284(a,1,2,1))]. 2324 T(x,y) = (x \ (x / y)) * (x * y). [hyper(108,a,2294,a),flip(a)]. 2325 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(1974(a,1),2260(a,1))]. 2326 K(x,x \ y) = a(z,u,z) * K(x,y). [hyper(2174,a,2269,a(flip)),flip(a)]. 2327 a(x,y,x) != z * K(u,w) | K(w,w \ u) = z. [para(2269(a,2),38(a,1))]. 2329 (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). [hyper(1569,a,2286,a),flip(a)]. 2330 L(x,y \ z,z) != z \ y | (y \ z) \ 1 = x. [para(2286(a,1),44(a,1)),flip(a)]. 2331 L(x \ 1,x,y) * y = x \ y. [hyper(111,a,2290,a)]. 2332 L(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(57,a,20,a,b,2290,a)]. 2334 L(x,x \ 1,y) * y = (x \ 1) \ y. [para(614(a,1),2331(a,1,1,1))]. 2335 L(L(x \ 1,x,y),y,y \ 1) = (x \ y) * (y \ 1). [para(2331(a,1),1098(a,1,1)),flip(a)]. 2336 (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (x \ 1))). [para(1209(a,1),2331(a,1,1))]. 2337 L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y). [para(2331(a,1),1377(a,1,2)),flip(a)]. 2338 (x \ 1) * K(x,y) = x \ K(x,y). [para(1615(a,1),2331(a,1,1))]. 2340 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(2326(a,2),1469(a,1,3))]. 2341 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(2326(a,2),1540(a,1,1))]. 2342 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(2326(a,2),1744(a,1,2))]. 2343 K(x,K(y,z * y)) = K(x,K(y,z)). [para(1679(a,1),2342(a,1,2)),flip(a)]. 2344 K(x,K(y,z \ y)) = K(x,K(z,y)). [para(1720(a,2),2342(a,1,2))]. 2345 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(1696(a,2),2344(a,2,2)),flip(a)]. 2346 L(L(T(x \ 1,y),z,u),x,y) = L(y \ (x \ y),z,u). [para(2332(a,1),25(a,1,1)),flip(a)]. 2347 L(T(x,y),x \ 1,y) = y \ ((x \ 1) \ y). [para(614(a,1),2332(a,1,1,1))]. 2348 (x \ 1) \ y != z * y | L(x,x \ 1,y) = z. [para(2334(a,1),38(a,1))]. 2349 ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). [para(1208(a,1),2334(a,1,1)),flip(a)]. 2350 L(x,x \ 1,y) * (x \ y) = x \ ((x \ 1) \ y). [para(2334(a,1),1377(a,1,2)),flip(a)]. 2351 L(x \ (y * K(z,u)),x,K(u,z)) = (K(u,z) * x) \ T(y,K(z,u)). [para(2130(a,1),83(a,2,2))]. 2352 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(606(a,1),2133(a,1,2,2))]. 2353 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(468(a,1),2136(a,1,2))]. 2354 K(x,(y * z) / (y * u)) * (y * (u * T(u \ z,x))) = y * z. [para(445(a,1),2136(a,1,2))]. 2355 K(x,y / (x / z)) * (((x \ (y * z)) * x) / z) = y. [para(574(a,1),2136(a,1,2))]. 2357 K(x \ 1,x) * (K(y,y \ 1) * z) = z. [para(736(a,2),2145(a,1,2,1))]. 2358 K(x \ 1,x) * ((y \ 1) \ 1) = y. [para(732(a,1),2145(a,1,2))]. 2359 (K(x \ 1,x) * y) \ z = y \ ((u * (1 / u)) * z). [para(2145(a,1),1285(a,1,2))]. 2361 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(446(a,1),2172(a,1,1))]. 2362 (((x \ (y * z)) * x) / z) \ y = K(x,(x / z) \ y). [para(574(a,1),2172(a,1,1))]. 2363 T(L(x,y,z) * (L(x,y,z) \ u),x) \ u = K(x,L(x,y,z) \ u). [para(1371(a,2),2172(a,1,1))]. 2364 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1451(a,1),2172(a,1,1))]. 2365 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(2133(a,1),2181(a,1,1))]. 2366 T(x / y,z) \ x = y * K(z,y \ x). [hyper(230,a,1991,a(flip),b,2195,a),flip(a)]. 2367 ((x * y) / x) \ z = K(y,x) * (y \ z). [para(743(a,1),2200(a,1,1))]. 2368 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(1637(a,1),2200(a,1,1))]. 2369 T(x,y) * z != x * (y * u) | T(y,x) * u = z. [para(2206(a,1),37(a,1)),flip(a)]. 2370 x * (y * (K(x,y) * z)) = T(x,y) * (y * z). [para(2147(a,1),2206(a,1,2)),flip(a)]. 2371 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(230,a,1904,a,b,2208,a),flip(a)]. 2372 x * (K(y,x) * K(x,z)) = K(y,x) * T(x,z). [para(1592(a,2),2208(a,1,2)),flip(a)]. 2373 L((x / y) \ z,x / y,y) = x \ (K(x,y) * (y * z)). [hyper(772,a,2209,a)]. 2374 (x * K(y,x)) \ z = x \ (K(x,y) * z). [para(1637(a,1),2209(a,1,1))]. 2375 T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). [para(2214(a,1),1778(a,1,2)),flip(a)]. 2376 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [para(1616(a,1),2241(a,1,2,2))]. 2377 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [hyper(230,a,18,a,b,2243,a),flip(a)]. 2378 a(x,y,x) = K(z,T(u,w)) * K(u,T(z,w)). [hyper(638,a,2245,a)]. 2379 T(x,T(y,x * z)) = T(x,T(y,z)). [hyper(1984,a,2265,a)]. 2380 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(57,a,2226,a(flip),b,2267,a)]. 2381 K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1). [para(141(a,1),2267(a,1,1)),flip(a)]. 2382 (x \ y) \ (x \ (y / x)) = L(x \ 1,x,y). [hyper(57,a,1335,a,b,2281,a)]. 2383 L(T(x \ (x / y),z),u,y) = T(L(y \ 1,y,x),z). [para(2292(a,1),20(a,2,1))]. 2384 (x * y) / (x \ (x / y)) = (x * y) * y. [para(2280(a,1),2308(a,1,2))]. 2385 T(x \ (x / y),x * y) = x \ (y \ x). [para(2280(a,1),2319(a,1,1))]. 2386 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [para(2039(a,2),2340(a,1,3))]. 2387 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(230,a,2344,a(flip),b,2345,a),flip(a)]. 2388 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(2047(a,1),2387(a,1,2)),flip(a)]. 2390 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [para(673(a,1),2357(a,1,2))]. 2391 T(x / y,z) \ x = x * T(x \ y,z). [hyper(230,a,2013,a,b,2366,a),flip(a)]. 2392 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(101,a,2366,a(flip))]. 2393 (x * K(y,x \ z)) \ z = T(x \ z,y). [para(2366(a,1),912(a,1,1))]. 2394 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(5(a,1),2367(a,1,1,1)),flip(a)]. 2395 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5(a,1),2371(a,2,1,1))]. 2396 ((x * y) / x) * T(z,y) = K(x,y) * (z * y). [para(93(a,1),2371(a,1,2)),flip(a)]. 2397 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(230,a,130,a(flip),b,2374,a),flip(a)]. 2398 ((x * y) / x) \ 1 = y \ K(y,x). [para(1593(a,2),2397(a,1,1))]. 2399 T(T(x,y),z) * K(z,x) = T(x,T(y,z)). [para(2377(a,1),2182(a,1,1))]. 2400 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [para(2316(a,2),2380(a,2,2))]. 2401 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(1688(a,2),2386(a,2,3))]. 2402 L(x,y,K(z \ 1,u)) = L(x,y,K(z \ u,u)). [para(1698(a,2),2386(a,2,3)),flip(a)]. 2405 x * T(x \ (x / y),z) = x / T(y,z). [hyper(919,a,2391,a),flip(a)]. 2406 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(57,a,2380,a(flip),b,2400,a),flip(a)]. 2407 K(x,T((y / z) \ 1,z)) = K(x,y \ z). [para(7(a,1),2400(a,2,2,1))]. 2408 T(x \ (x / y),z) = x \ (x / T(y,z)). [hyper(101,a,2405,a),flip(a)]. 2409 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(230,a,2047,a,b,2407,a),flip(a)]. 2411 T(x \ (x / L(y,z,u)),w) = x \ (x / L(T(y,w),z,u)). [para(20(a,2),2408(a,2,2,2))]. 2412 T(T(x \ (x / y),z),x) = x \ (T(y,z) \ x). [para(2408(a,2),755(a,1,1))]. 2413 x \ y != z | T(x,u) \ (K(x,u) * y) = z. [para(2124(a,1),2213(a,1,2))]. 2414 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(2156(a,1),2225(a,1))]. 2415 K(x,y) * K(K(x,y),z) != u | K(x,T(y,z)) = u. [para(1592(a,1),2414(a,1))]. 2416 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(2227(a,2),2414(a,1))]. 2417 K(x * y,z) != u | K(y * x,T(z,y)) = u. [para(589(a,1),2416(a,1,1))]. 2418 K(T(x,x \ y),z) != u | K(x,T(z,y)) = u. [para(670(a,2),2416(a,1,1))]. 2419 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(693(a,1),2416(a,1,1))]. 2420 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(2237(a,2),2416(a,1))]. 2421 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(2267(a,1),2416(a,1))]. 2422 K(x,y * z) * K(z,y) != u | T(y * z,x) \ (z * y) = u. [para(11(a,2),2275(a,1,2))]. 2424 K(x,y) != z | T(y,x) \ y = z. [para(137(a,1),2275(a,1))]. 2425 K(x,y) * (K(y,z) * (y \ u)) != w | T(y,x) \ (K(y,z) * u) = w. [para(1829(a,1),2275(a,1,2))]. 2426 L(x \ 1,x,y) \ ((y \ (y / x)) * z) = z. [hyper(102,a,2283,a),flip(a)]. 2427 a(x,y,x) != K(z,T(u,w)) * v5 | K(u,T(z,w)) = v5. [para(2378(a,2),37(a,1))]. 2428 L(x \ 1,x,y) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). [para(2382(a,1),1248(a,1,1))]. 2429 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(2226(a,1),2418(a,1))]. 2430 L(x \ 1,x,y) \ y = x * y. [para(2300(a,1),2426(a,1,2))]. 2431 x \ y != z * y | L(z \ 1,z,y) = x. [para(2430(a,1),42(a,1)),flip(a)]. 2432 L(x,x \ 1,y) \ y = (x \ 1) * y. [para(614(a,1),2430(a,1,1,1))]. 2433 T(x \ 1,x * y) = T(x \ 1,y). [para(2430(a,1),1007(a,1,2))]. 2434 T(x \ 1,x \ y) = T(x \ 1,y). [para(5(a,1),2433(a,1,2)),flip(a)]. 2435 (x * y) * L(T(T(x \ 1,y),z),u,w) = L(T(x \ 1,z),u,w) * (x * y). [para(2433(a,1),354(a,1,2,1,1))]. 2436 (x \ ((x \ 1) \ y)) \ (x \ y) = T(x \ 1,y). [hyper(57,a,1202,a,b,2434,a)]. 2437 R(x,x \ 1,y) = L(x,x \ 1,y). [hyper(347,a,2432,a)]. 2438 T(x,y) * T(L(x,z,u) \ 1,y) = L(T(x,y),z,u) \ T(x,y). [para(1848(a,2),1383(a,1,2))]. 2439 K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). [para(18(a,1),1863(a,1,2))]. 2440 T(x \ 1,x / y) = x \ K(x,y). [para(1036(a,1),1869(a,1,2))]. 2441 T((x \ 1) * (x / y),x \ K(x,y)) = (x / y) * (x \ 1). [para(2440(a,1),812(a,1,2))]. 2442 (x \ y) * (K(x,y) * z) = (y / x) * z. [para(1597(a,1),1905(a,1,2,1))]. 2443 K(x,y) * ((x \ y) * z) = (y / x) * z. [hyper(519,a,2442,a),flip(a)]. 2444 (x / y) * (x * y) = (y \ x) * (y * x). [para(878(a,1),2442(a,1,2)),flip(a)]. 2445 K(x,y) * ((x / y) * z) = (y \ x) * z. [hyper(2140,a,2443,a)]. 2446 K(x,y) * z != (y / x) * u | (x \ y) * u = z. [para(2443(a,1),37(a,1)),flip(a)]. 2447 x * ((y \ z) * u) != (z / y) * u | K(y,z) = x. [para(2443(a,1),38(a,1)),flip(a)]. 2448 ((x / y) * z) \ (K(y,x) * ((y \ x) * (z * u))) = L(L(u,z,y \ x),(y \ x) * z,K(y,x)). [para(2443(a,1),287(a,1,1))]. 2449 T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z). [para(2443(a,1),2148(a,1,2)),flip(a)]. 2450 T(x,y) \ ((y \ x) * z) != u | x \ ((x / y) * z) = u. [para(2445(a,1),1823(a,1,2))]. 2451 (x * (y / x)) * (x * z) = y * (T(x,y) * z). [para(607(a,1),1937(a,1,1))]. 2452 K(x,T(1 / (y * z),y)) != u | K(x,1 / (z * y)) = u. [para(1938(a,2),1886(a,1))]. 2453 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(981(a,1),1949(a,1,2,2))]. 2454 K(x,K(y \ 1,y) * z) = K(x,z). [para(2124(a,1),1949(a,1,2)),flip(a)]. 2455 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(5(a,1),1951(a,1,2,2,1)),flip(a)]. 2456 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [para(723(a,1),1952(a,1,2,2))]. 2457 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(723(a,1),1955(a,1,2,1))]. 2458 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(5(a,1),1958(a,1,2,1,1)),flip(a)]. 2459 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [para(5(a,1),1959(a,1,2,1,1)),flip(a)]. 2460 K(x,T(((y / z) \ 1) * y,y) / u) = K(x,(((z \ y) \ 1) * y) / u). [para(1871(a,2),1959(a,1,2,1,1))]. 2461 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),1960(a,1,2,1,1)),flip(a)]. 2462 K(x,T(y * z,z) \ u) = K(x,(T(y,z) * z) \ u). [para(93(a,1),1960(a,1,2,1,1))]. 2463 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(1976(a,1),276(a,1,1)),flip(a)]. 2464 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [hyper(230,a,1974,a,b,1998,a),flip(a)]. 2465 x \ y != z * K(u,z \ (x \ 1)) | T(x * z,u) = y. [para(2014(a,1),41(a,1)),flip(a)]. 2466 K(x,(y \ (y / x)) * z) = K(x,z). [hyper(57,a,2048,a(flip),b,2059,a)]. 2468 (x / y) * T(y,z) = x * K(y,z). [para(72(a,1),2060(a,1,2,1))]. 2469 K(x,y) = (1 / x) * T(x,y). [hyper(230,a,2,a(flip),b,2468,a)]. 2470 (x * T(y,z)) / y = x * K(y,z). [hyper(57,a,546,a,b,2468,a)]. 2471 (x / T(y,z)) * K(y,z) = x / y. [hyper(57,a,548,a(flip),b,2468,a),flip(a)]. 2472 (x * y) * K(y,z) = x * T(y,z). [para(6(a,1),2468(a,1,1)),flip(a)]. 2473 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(15(a,2),2468(a,1,1)),flip(a)]. 2474 ((x * y) * z) * K(a(x,y,z),u) = (x * (y * z)) * T(a(x,y,z),u). [para(150(a,1),2468(a,1,1)),flip(a)]. 2475 (x * K(y,z)) * y = x * T(y,z). [para(2468(a,1),545(a,1,1))]. 2476 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(2468(a,1),547(a,1,1))]. 2477 ((x / (y * z)) * T(y,z)) \ (x * K(y * z,z)) = L(z,T(y,z),x / (y * z)). [para(2468(a,1),750(a,1,2))]. 2478 ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). [para(1356(a,1),2468(a,1,1))]. 2479 ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). [para(2468(a,1),1416(a,1,1)),flip(a)]. 2480 (x * T(K(y,z),u)) * K(z,y) = x * K(K(y,z),u). [hyper(2169,a,2470,a)]. 2481 x * T(y * K(x,z),x) = y * T(x,z). [hyper(212,a,2470,a)]. 2482 x / y != z * K(y,u) | z * T(y,u) = x. [para(2470(a,1),40(a,1)),flip(a)]. 2484 K(1 / x,y) / (x \ 1) = x * K(x \ 1,y). [para(1795(a,1),2470(a,1,1))]. 2485 (x * K(y,z)) / y = (x / y) * K(y,z). [para(2468(a,1),2470(a,1,1))]. 2486 (1 / x) * K(x,y) = K(x,y) / x. [para(2469(a,2),2470(a,1,1)),flip(a)]. 2487 (x / y) * K(z,y) = x / T(y,z). [hyper(2174,a,2471,a)]. 2488 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(95(a,1),2471(a,1,1,2))]. 2489 (x * T(y,z)) * K(z,y) = x * y. [hyper(2174,a,2472,a)]. 2490 x \ (L(y,z,x) * (x * z)) = (z * y) * K(y,x * z). [hyper(230,a,358,a,b,2472,a)]. 2491 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(101,a,2472,a)]. 2492 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [para(2472(a,1),17(a,2,2)),flip(a)]. 2493 (x * K(y,z)) / a(x / (u * y),u * y,K(y,z)) = (x / (u * y)) * (u * T(y,z)). [para(2472(a,1),375(a,2,2))]. 2494 (x * (y * z)) * K(z,y) = x * T(y * z,y). [para(1689(a,1),2472(a,1,2))]. 2495 (x * y) * K(z,y) = x * T(y,z \ y). [para(1719(a,1),2472(a,1,2))]. 2496 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [para(2472(a,1),1789(a,1,1))]. 2497 (x * (y \ z)) * K(u,z \ y) = x * T(y \ z,u). [para(2039(a,1),2472(a,1,2))]. 2498 K(x,K(y,z)) * T(y,T(z,x)) = T(y,z). [hyper(57,a,2009,a(flip),b,2475,a),flip(a)]. 2499 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). [para(2475(a,1),13(a,2,2,2)),flip(a)]. 2500 x * T(y,z) != u * y | x * K(y,z) = u. [para(2475(a,1),38(a,1))]. 2501 (x * T(y,z)) \ ((x * K(y,z)) * (y * u)) != w | L(u,y,x * K(y,z)) = w. [para(2475(a,1),295(a,1,1))]. 2502 L(x \ L(y,K(x,z),u),x,u * K(x,z)) = (u * T(x,z)) \ (u * (K(x,z) * y)). [para(2475(a,1),305(a,2,1))]. 2503 (x * K(y,z)) * (z * y) = x * T(z * y,z). [para(1689(a,1),2475(a,1,1,2))]. 2504 (x * K(y,z)) * z = x * T(z,y \ 1). [para(1696(a,1),2475(a,1,1,2))]. 2505 (x * K(y,z)) * z = x * T(z,y \ z). [para(1719(a,1),2475(a,1,1,2))]. 2506 (x * K(y,z)) * T(z,y) = x * z. [para(2167(a,1),2475(a,1,1)),flip(a)]. 2507 x \ ((y * K(x,z)) \ x) = (y * T(x,z)) \ x. [para(2475(a,1),2316(a,1,1)),flip(a)]. 2508 (x * y) / T(y,z) = x * K(z,y). [para(6(a,1),2487(a,1,1)),flip(a)]. 2509 ((x * y) * z) / T(y * z,u) = R(x,y,z) * K(u,y * z). [para(15(a,2),2487(a,1,1)),flip(a)]. 2510 x / T(y,z \ y) = (x / y) * K(y,z). [para(1730(a,1),2487(a,1,2)),flip(a)]. 2511 (x * (y \ x)) * K(z,x \ y) = x / T(x \ y,z). [para(2305(a,1),2487(a,1,1))]. 2512 (x * K(y,z)) / z = x / T(z,y). [hyper(369,a,2489,a)]. 2513 (x / T(y,z)) * y = x * K(z,y). [hyper(234,a,2489,a),flip(a)]. 2514 K(x,y) = (1 / T(y,x)) * y. [hyper(170,a,2489,a)]. 2515 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(2489(a,1),2475(a,1,1)),flip(a)]. 2516 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(2424,a,2514,a),flip(a)]. 2517 T(x,y) = (K(y,x) / x) \ 1. [para(2514(a,2),149(a,1,1,1)),flip(a)]. 2518 L(x \ T(x,y),x,z) = K(x,y). [hyper(412,a,2491,a)]. 2519 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(2491(a,1),203(a,1,2))]. 2520 L(K(x,y),x,z) = K(x,y). [para(1589(a,2),2518(a,1,1))]. 2521 a(x,y,K(y,z)) = 1. [hyper(47,a,2520,a)]. 2522 a(x,y,1) = 1. [para(136(a,1),2521(a,1,3))]. 2523 a(x,y,K(z,y)) = 1. [para(1696(a,1),2521(a,1,3))]. 2524 L(K(x,y),y,z) = K(x,y). [hyper(46,a,2523,a)]. 2525 a(x,y,K(y \ 1,z)) = 1. [para(1698(a,2),2523(a,1,3))]. 2526 (T(x,y) * z) * K(y,T(x,z)) = x * z. [hyper(29,a,532,a(flip),b,2506,a),flip(a)]. 2527 x * T(y,z) != u * y | u * K(z,y) = x. [para(2506(a,1),38(a,1)),flip(a)]. 2528 L(x \ 1,x,y) * K(z,y) = (x \ y) / T(y,z). [para(2331(a,1),2508(a,1,1)),flip(a)]. 2529 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(2512(a,1),95(a,1,1))]. 2531 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(2513(a,1),244(a,1,2))]. 2532 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(105,a,2516,a)]. 2533 (T(x,y) \ x) / x = (T(x,y) \ 1) * K(z,z \ 1). [hyper(230,a,979,a,b,2532,a),flip(a)]. 2534 T(x,y) * (x \ T(z,T(x,y))) = T(z * K(x,y),x). [hyper(230,a,505,a,b,2476,a)]. 2535 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(2481(a,1),216(a,1))]. 2536 (x * T(y,z \ y)) * z = (x * y) * T(z,y). [para(2495(a,1),2475(a,1,1))]. 2537 (x * K(y,z)) * z = x * (z * K(y,z)). [para(1635(a,1),2504(a,2,2))]. 2538 (x * K(y,z)) \ (x * T(z,y \ z)) = z. [hyper(101,a,2505,a)]. 2539 ((x / y) * K(y,z)) \ x = T(y,z \ 1). [para(2510(a,1),1042(a,1,1))]. 2540 x / (y * K(z,y)) = (x / y) * K(y,z). [para(1637(a,1),2510(a,1,2))]. 2541 (T(x,T(y,z) \ 1) * y) * z = (T(y,z) * x) * T(z,y). [para(1028(a,1),2515(a,1,1)),flip(a)]. 2542 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [para(2515(a,1),822(a,1,1))]. 2543 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(2515(a,1),821(a,1,2))]. 2544 T((x * y) / T(z,y),z) = z \ (x * T(y,z)). [para(2472(a,1),2529(a,2,2))]. 2546 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(878(a,1),2519(a,1,1))]. 2548 (x \ y) * K(y,z) != u | L(x \ 1,x,y) * T(y,z) = u. [para(2331(a,1),2519(a,1,1))]. 2549 T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(2171(a,1),959(a,1,1,2))]. 2550 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(670(a,1),2190(a,1,2,2))]. 2551 (x \ y) * K(T(z,y),x) = T(x,z) \ y. [para(2226(a,2),2550(a,1,2))]. 2552 K(x \ 1,x) \ ((y \ 1) * z) = (1 / y) * z. [hyper(101,a,2191,a)]. 2553 (x * (1 / x)) * ((y \ 1) * z) = (1 / y) * z. [hyper(28,a,2145,a,b,2191,a)]. 2554 K(x,y) * ((x * y) \ z) = (y * x) \ z. [para(1647(a,1),2197(a,1,1))]. 2555 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(336,a,2554,a),flip(a)]. 2556 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(2554(a,1),1596(a,1,2)),flip(a)]. 2557 1 * (((x \ y) * (y \ x)) \ z) = ((y \ x) * (x \ y)) \ z. [para(2041(a,1),2554(a,1,1))]. 2558 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(2491(a,1),2554(a,1,2)),flip(a)]. 2559 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(110,a,2555,a)]. 2560 K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). [para(2526(a,1),2555(a,1,2)),flip(a)]. 2561 (x * y) * ((y * x) / y) = (y * x) * x. [para(1612(a,2),2559(a,1,2))]. 2562 T(x \ y,z) \ y = T(y \ x,z) * y. [hyper(57,a,2115,a(flip),b,2198,a),flip(a)]. 2563 K(x,T(y,z)) * (T(y,x) \ u) = T(T(y,x),T(x,z)) \ u. [para(1680(a,1),2247(a,1,1))]. 2564 T(x,y) \ (K(z,T(x,u)) * w) = K(y,x) * (T(x,T(z,u)) \ w). [para(2248(a,1),2134(a,1,2)),flip(a)]. 2565 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(1947,a,2252,a),flip(a)]. 2567 K(x,y * L(x,z,u)) = K(x,y). [hyper(230,a,1647,a(flip),b,2565,a),flip(a)]. 2568 K(x,y * (z * x)) = K(x,y * z). [para(81(a,1),2567(a,1,2))]. 2569 (x \ (y * (z * x))) * K(x,y * z) = (y * (z * x)) / x. [para(2568(a,1),1809(a,1,2))]. 2570 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [hyper(2417,a,2257,a)]. 2571 K(x * L(y,z,u),y) = K(y * x,y). [hyper(57,a,1944,a(flip),b,2258,a),flip(a)]. 2573 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(230,a,1945,a(flip),b,2261,a),flip(a)]. 2575 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(254(a,1),2573(a,1,1)),flip(a)]. 2576 K(x \ (y * (z * x)),x) = K(y * z,x). [para(151(a,1),2573(a,1,1)),flip(a)]. 2577 K(x * (y * z),z) = K(x * y,z). [hyper(2053,a,2576,a)]. 2578 K(x * (1 / y),y) = K(y \ x,y). [para(71(a,1),2576(a,1,1,2)),flip(a)]. 2579 K(x * y,x) != z | K(y * x,x) = z. [para(2577(a,1),1880(a,1))]. 2580 K(x * (y \ 1),y) = K(y \ x,y). [hyper(57,a,1817,a(flip),b,2578,a)]. 2581 x * K(x * (1 / y),y) = (y \ x) * y. [para(2578(a,2),227(a,1,2))]. 2582 K(x,y) != z | K(x * y,y) = z. [para(1689(a,1),2579(a,1))]. 2583 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(69(a,1),2581(a,1,2,1,2)),flip(a)]. 2585 x / (x * a(x,y,z)) = x \ (a(x,y,z) \ x). [para(1459(a,1),2302(a,2,2))]. 2586 (x \ (y / x)) / (x \ y) = (x \ y) / T(y,x). [para(707(a,1),2318(a,1,1))]. 2587 (((x * y) * z) \ (x * (y * z))) * ((x * (y * z)) \ ((x * y) * z)) = ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z). [para(9(a,2),2349(a,1,2)),flip(a)]. 2588 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(57,a,2133,a(flip),b,2352,a),flip(a)]. 2589 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(5(a,1),2588(a,1,1)),flip(a)]. 2590 T(x,y) * (y * (T(x * y,y) \ z)) = x * (y * ((x * y) \ z)). [para(1865(a,1),2370(a,1,2,2)),flip(a)]. 2591 T(x,y) * (y * ((x * y) \ z)) = x * (y * ((y * x) \ z)). [para(2554(a,1),2370(a,1,2,2)),flip(a)]. 2592 x \ (K(y,x) * T(x,z)) = K(y,x) * K(x,z). [hyper(101,a,2372,a)]. 2593 K(x,x \ 1) * ((1 / y) \ z) = (y \ 1) \ z. [hyper(28,a,2357,a,b,2394,a)]. 2594 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(17(a,2),2394(a,1,2))]. 2595 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [hyper(260,a,2395,a)]. 2596 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2395(a,1),1754(a,1,1))]. 2597 K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). [para(2395(a,1),1949(a,1,2,2))]. 2598 L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [hyper(230,a,2386,a(flip),b,2402,a),flip(a)]. 2599 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(614(a,1),2598(a,1,3,1)),flip(a)]. 2600 K(x,T((y / z) \ 1,z)) != u | K(x,y \ z) = u. [para(2409(a,2),2089(a,1))]. 2601 T(x \ (y \ x),z) = x \ (T(y,z) \ x). [hyper(57,a,757,a(flip),b,2412,a)]. 2602 T(x \ (y \ x),K(z,y)) = x \ (y \ x). [para(1699(a,1),2601(a,2,2,1))]. 2603 (x * (T(y,x) * z)) \ ((y * ((x / y) * y)) * z) = a(y * (x / y),y,z). [para(2451(a,1),592(a,1,1))]. 2604 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(722(a,1),2456(a,1,2,2)),flip(a)]. 2605 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(722(a,1),2457(a,1,2,1)),flip(a)]. 2606 K(x,T(y,z) / z) = K(x,z \ y). [para(6(a,1),2459(a,1,2)),flip(a)]. 2607 K(x,y \ T(z,y \ 1)) = K(x,z / y). [para(1027(a,1),2606(a,1,2,1)),flip(a)]. 2608 K(x,(y \ z) \ T(u,z \ y)) = K(x,u / (y \ z)). [para(2066(a,1),2606(a,1,2,1)),flip(a)]. 2609 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(2463(a,2),2487(a,1,1))]. 2610 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [para(613(a,2),2484(a,2,2,1))]. 2611 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(57,a,1873,a(flip),b,2492,a),flip(a)]. 2612 (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). [hyper(230,a,2472,a,b,2611,a)]. 2613 T(x * y,K(y,z)) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,T(y,z)),y). [para(2611(a,2),13(a,2,1)),flip(a)]. 2614 T(x * (y \ 1),K(y \ 1,z \ y)) = (y \ 1) * T(x,y \ K(y,z)). [para(1846(a,1),2611(a,2,2,2))]. 2615 (x * (y * z)) * K(z,y) = x * (z * y). [para(589(a,1),2494(a,2,2))]. 2616 (x * K(y,z)) / (y * z) = x / (z * y). [hyper(369,a,2615,a)]. 2617 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(234,a,2615,a),flip(a)]. 2618 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(2615(a,1),37(a,1)),flip(a)]. 2619 T(x / (y * z),z * y) != u | (z * y) \ (x * K(z,y)) = u. [para(2616(a,1),274(a,1,1))]. 2620 (x * T(y,z)) / (y * z) = (x * y) / (z * y). [para(2472(a,1),2616(a,1,1))]. 2621 (x * K(y,z)) * (z * y) = x * (y * z). [para(589(a,1),2503(a,2,2))]. 2622 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(105,a,2621,a)]. 2623 (x * (y * z)) / (z * y) != u | x * K(y,z) = u. [para(2621(a,1),235(a,1,1))]. 2624 (K(x,y) / x) * (y * x) = (1 / x) * (x * y). [para(2486(a,1),2621(a,1,1))]. 2625 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(57,a,126,a(flip),b,2622,a),flip(a)]. 2626 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(7(a,1),2625(a,1,1,2))]. 2627 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(2625(a,1),2475(a,1,1)),flip(a)]. 2628 (x / (y * z)) * T(z,y \ 1) = (x / (z * y)) * z. [para(2625(a,1),2504(a,1,1)),flip(a)]. 2629 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(1637(a,1),2536(a,1,1,2))]. 2630 K(x \ 1,x) * ((1 / y) * z) != u | (y \ 1) * z = u. [para(2552(a,1),203(a,1,2))]. 2631 (x * (1 / x)) * ((y \ 1) * (y * z)) = L(z,y,y \ 1). [hyper(230,a,624,a(flip),b,2553,a),flip(a)]. 2632 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(230,a,2065,a(flip),b,2575,a),flip(a)]. 2633 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [para(613(a,2),2575(a,1,1,1))]. 2634 K(x,x \ 1) * (y * ((1 / z) \ u)) = y * ((z \ 1) \ u). [para(2593(a,1),1003(a,2,2))]. 2635 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2593(a,1),1754(a,1,1)),flip(a)]. 2636 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(72(a,1),2604(a,1,2,2,1)),flip(a)]. 2637 K(x,T(y * (1 / z),z) * u) = K(x,T(y * (1 / z),y) * u). [para(2104(a,2),2605(a,1,2,1))]. 2638 ((x * y) * z) / (y * z) = R(x,y,T(z,y)). [hyper(416,a,2620,a),flip(a)]. 2639 R(x,y,z) = ((x * y) * T(z,y)) / (z * y). [hyper(230,a,15,a,b,2620,a)]. 2640 R(x,y,T(z,y)) = R(x,y,z). [hyper(315,a,2638,a),flip(a)]. 2641 R(x,y,T(z,y)) != u | R(x,y,z) = u. [para(2638(a,1),315(a,1))]. 2642 R(T(x / y,T(z,y)),y,y \ z) = T(z,y) \ (x * (y \ T(z,y))). [hyper(57,a,754,a(flip),b,2640,a),flip(a)]. 2643 R(x,y,z / y) = R(x,y,y \ z). [para(95(a,1),2640(a,1,3)),flip(a)]. 2644 R(x,T(y,z),T(z,y)) = R(x,T(y,z),z). [para(762(a,1),2640(a,1,3))]. 2645 R(T(x / y,y * (z / y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)). [hyper(57,a,458,a(flip),b,2643,a),flip(a)]. 2647 R(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(108,a,2639,a(flip))]. 2649 (K(x,y) / x) * (y * x) = L(y,x,x \ 1). [hyper(230,a,624,a(flip),b,2624,a),flip(a)]. 2650 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(1640(a,1),2629(a,1,1,2)),flip(a)]. 2651 (x * T(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(2472(a,1),1632(a,1,1))]. 2652 R(x,y,K(y,z)) = x. [hyper(235,a,2651,a),flip(a)]. 2654 R(x,y \ z,K(u,z \ y)) = x. [para(2039(a,1),2652(a,1,3))]. 2655 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(2654(a,1),322(a,1,1))]. 2656 (x * y) \ (T(R(z * K(x,z),x,y),u) \ ((x * z) * y)) = K(u,(x * y) \ ((x * z) * y)). [para(1668(a,2),2392(a,1,2,1,1))]. 2657 K(x * y,x) * (K(x,y) * z) = a(u,w,u) * z. [hyper(2140,a,1877,a)]. 2658 K(x,x * y) * (z * a(u,w,u)) = K(x,y) * z. [para(642(a,1),1877(a,1,2))]. 2659 K(a(x,y,z),x * (y * z)) * (a(u,w,u) * v5) = K((x * y) * z,x * (y * z)) * v5. [para(75(a,1),1881(a,1,1,1)),flip(a)]. 2660 K(x,y * ((z * u) / z)) = K(x,y * (z * (u / z))). [para(326(a,1),1953(a,1,2,2)),flip(a)]. 2661 K(x,y * (z / T(u / w,u))) = K(x,y * (z / (w \ u))). [para(716(a,1),1953(a,1,2,2,2))]. 2662 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(716(a,1),1954(a,1,2,2,1))]. 2663 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(620(a,1),1956(a,1,2,1,2))]. 2664 K(x,((y * (z * y)) / y) \ u) = K(x,(y * z) \ u). [para(785(a,2),1961(a,1,2,1))]. 2665 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(2558(a,2),2002(a,1))]. 2667 x * K(y,x \ z) != u | z * T(z \ x,y) = u. [para(2039(a,1),2107(a,1,2))]. 2669 L(x \ (x / (y \ z)),y \ z,y) = L(z \ y,y \ z,x). [para(253(a,1),2285(a,1,1)),flip(a)]. 2670 L(x \ (x / y),z,L(y,u,w)) = L(y \ 1,y,x). [para(1211(a,1),2285(a,1,1)),flip(a)]. 2671 L(x \ (x / y),y,y \ z) = L(L(y \ 1,y,z),y,x). [para(1334(a,1),2285(a,1,1)),flip(a)]. 2672 (x / y) \ (y \ ((y \ 1) \ x)) = L(y,y \ 1,x). [para(1204(a,1),2295(a,1,2))]. 2673 T(x,y) = (x \ (y \ x)) * (y * x). [hyper(2321,a,778,a),flip(a)]. 2674 T(x,y) \ (((x \ (y \ x)) * y) * x) = a(x \ (y \ x),y,x). [para(2673(a,2),9(a,2,1)),flip(a)]. 2675 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(315,a,2542,a),flip(a)]. 2676 R(x,T(y,z),z) = R(x,y,z). [hyper(57,a,2644,a(flip),b,2675,a)]. 2677 R(x,y / z,z) = R(x,z \ y,z). [para(95(a,1),2676(a,1,2)),flip(a)]. 2678 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(230,a,2640,a,b,2677,a)]. 2679 R(x,y \ z,y) * z = (x * (z / y)) * y. [para(2677(a,1),308(a,1,1))]. 2680 R(x,y / z,z) != u | R(x,z \ y,z) = u. [para(2678(a,1),2641(a,1))]. 2681 x / (y * z) != u | (x / (z * y)) * K(z,y) = u. [para(7(a,1),2623(a,1,1))]. 2682 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(57,a,1302,a(flip),b,1660,a)]. 2683 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(1660(a,1),993(a,1,1,2))]. 2684 (x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z. [para(2358(a,1),1660(a,2,2))]. 2685 (x * y) / ((y \ 1) \ 1) = x * K(z \ 1,z). [hyper(105,a,2684,a)]. 2686 (x / y) * K(z \ 1,z) = x / ((y \ 1) \ 1). [hyper(57,a,126,a(flip),b,2685,a),flip(a)]. 2687 (x / ((y \ 1) \ 1)) * K(z,z \ 1) = x / y. [hyper(2174,a,2686,a)]. 2689 (x / y) * K(z,z \ 1) = x / (1 / (1 / y)). [para(159(a,1),2687(a,1,1,2))]. 2690 x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)). [hyper(57,a,998,a(flip),b,2689,a)]. 2691 x / (K(y,y \ 1) * z) = K(u \ 1,u) * (x / z). [para(1661(a,1),2390(a,1,2)),flip(a)]. 2693 (x * K(x \ 1,y)) * z = K(x \ 1,y) * (x * z). [para(1655(a,1),1717(a,1,1))]. 2695 (K(x,y) * (T(z,u) * w)) * a(K(x,y),T(z,u),w) = (T(T(z,K(y,x)),u) * K(x,y)) * w. [para(1793(a,2),75(a,2,1))]. 2697 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(1974(a,2),1839(a,2,1))]. 2698 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(1630(a,1),1840(a,1,1))]. 2699 L(K(x \ 1,y),z,x) = K(x \ 1,y). [para(588(a,1),2698(a,2,1,1))]. 2700 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(614(a,1),2698(a,1,1,1)),flip(a)]. 2701 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(2032(a,1),2698(a,1,1)),flip(a)]. 2702 (x * (y * K(x \ 1,z))) / (y * K(x \ 1,z)) = R(x,y,L(K(x \ 1,z),y,x)). [para(2699(a,1),288(a,1,2,2))]. 2703 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(2700(a,1),1782(a,1,1)),flip(a)]. 2704 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(2700(a,1),2129(a,1,1)),flip(a)]. 2705 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(529(a,1),1899(a,1,1))]. 2706 T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. [para(1874(a,1),1907(a,1,1)),flip(a)]. 2707 K(x,x * y) * ((R(y,z,u) * x) * a(w,v5,w)) = R(y,z,u) * T(x,y). [hyper(57,a,2658,a,b,1920,a)]. 2708 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(1920(a,1),2118(a,1,2))]. 2709 K(x,x * y) * ((L(y,z,u) * x) * a(w,v5,w)) = L(y,z,u) * T(x,y). [hyper(57,a,2658,a,b,1921,a)]. 2710 K(x,T(y,z)) * (y * x) = (y * x) * K(x,T(y,z)). [para(1974(a,2),1983(a,2,2))]. 2711 K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,z * u)). [para(2034(a,1),2455(a,1,2,2))]. 2712 (x / (y * x)) * L(z,(y * x) \ x,K(y * x,y \ 1)) = K(y * x,y \ 1) * (((y * x) \ x) * z). [para(2036(a,1),81(a,1,1))]. 2713 T(x \ y,z \ (x \ y)) * (y \ x) = ((y \ x) * K(z,x \ y)) * (x \ y). [hyper(230,a,2505,a,b,2055,a),flip(a)]. 2714 (x \ y) * T(y \ x,y \ 1) = (x / y) * (x \ y). [para(1026(a,1),2055(a,1,1)),flip(a)]. 2715 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(2058(a,1),2147(a,1,2))]. 2716 (x \ (x / y)) * y = y * (x \ (x / y)). [para(612(a,1),2086(a,1,1)),flip(a)]. 2717 L(x \ (x / y),y,y \ 1) \ L((x \ (x / y)) * z,y,y \ 1) = L(L(z,x \ (x / y),y),(x \ (x / y)) * y,y \ 1). [para(2716(a,2),1439(a,2,2))]. 2718 R(x,y \ z,z \ y) \ ((z \ y) * ((y \ z) * x)) = (y \ z) * (z \ y). [para(2102(a,1),148(a,1,2))]. 2719 (x \ 1) * (((y * x) \ y) \ y) = R(y,x,x \ 1). [hyper(230,a,207,a(flip),b,2105,a),flip(a)]. 2720 ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). [hyper(57,a,2367,a,b,2123,a)]. 2721 K(x,y) * T((y * x) * (y \ z),x) = x \ ((x * y) * (y \ (z * x))). [para(1220(a,1),2123(a,1,2))]. 2722 (x / (((y \ (x * z)) * y) / z)) \ u = K(y,x / (y / z)) \ u. [para(2355(a,1),128(a,1,1,1))]. 2723 ((((x \ (y * z)) * x) / z) \ y) \ 1 != u | K((x / z) \ y,x) = u. [para(2362(a,2),1785(a,1,1))]. 2724 L(T(x \ (x / y),z),u,y) = L(T(y \ 1,z),y,x). [hyper(230,a,20,a,b,2383,a),flip(a)]. 2725 (x * K(y,T(z,u))) * K(z,y) = x * K(K(y,z),u). [para(1974(a,2),2480(a,1,1,2))]. 2726 x * T(x \ y,z) != u | y * K(z,y \ x) = u. [para(2497(a,1),333(a,1))]. 2727 (x * (y * ((x * y) \ z))) * T(a(x,y,(x * y) \ z),u) != w | z * K(u,z \ (x * (y * ((x * y) \ z)))) = w. [para(78(a,1),2726(a,1,2,1))]. 2728 x / T(x \ y,z) = x * T(y \ x,z). [hyper(57,a,2497,a(flip),b,2511,a),flip(a)]. 2729 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [hyper(29,a,2687,a,b,2533,a(flip))]. 2730 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(512,a,2729,a)]. 2731 (T(x,y) \ 1) * ((x \ 1) \ 1) = x * (T(x,y) \ 1). [para(2730(a,1),93(a,1,2))]. 2733 T(x * K(y,z),y) != u | K(y,z) * T(x,T(y,z)) = u. [para(2534(a,1),1833(a,1))]. 2734 x / T(y \ 1,x * y) = (y \ 1) \ x. [hyper(29,a,2513,a,b,2583,a)]. 2735 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(153,a,2734,a),flip(a)]. 2736 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(5(a,1),2735(a,1,2))]. 2737 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). [para(624(a,1),2597(a,1,2,2)),flip(a)]. 2738 K(x,(y * ((z \ y) / y)) \ T(u,T(y,z \ 1) \ z)) = K(x,u / (z \ T(y,z \ 1))). [para(1061(a,1),2608(a,1,2,1))]. 2739 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(2527,a,2650,a)]. 2740 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(2500,a,2650,a)]. 2741 K(x,y * ((z * (u \ z)) / z)) = K(x,y * (z / u)). [para(717(a,1),2660(a,2,2,2))]. 2742 K(x,((y * z) / y) \ u) = K(x,(y * (z / y)) \ u). [para(7(a,1),2664(a,1,2,1,1,2))]. 2743 K(x,T(y * z,z \ 1) \ u) = K(x,(z * y) \ u). [para(1021(a,2),2664(a,1,2,1))]. 2744 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(672,a,2682,a)]. 2745 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(368,a,2682,a)]. 2746 (x * (K(y \ 1,y) * (z * u))) \ ((x * z) * (K(y \ 1,y) * u)) = a(x,z,K(y \ 1,y) * u). [para(2682(a,2),9(a,2,1,2)),flip(a)]. 2747 (x * (K(y \ 1,y) * z)) \ u = (x * z) \ ((w * (1 / w)) * u). [para(2682(a,1),2359(a,1,1))]. 2748 1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))). [hyper(101,a,2690,a),flip(a)]. 2749 (x / (1 / (1 / y))) / z = 1 / (1 / ((x / y) / z)). [para(2690(a,1),953(a,1,1))]. 2751 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(2691(a,2),2454(a,1,2))]. 2752 K(x,y / ((1 / z) / u)) = K(x,y / ((z \ 1) / u)). [para(1440(a,1),2751(a,1,2,2))]. 2753 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(1832(a,1),2751(a,1,2,2))]. 2754 K((x \ 1) \ 1,y) * ((x \ 1) * z) = ((x \ 1) * K(x,y)) * z. [para(614(a,1),2693(a,1,1,2,1)),flip(a)]. 2755 K(x,T(y,z)) * (y * x) = T(x * y,K(y,z)). [hyper(230,a,2612,a(flip),b,2710,a),flip(a)]. 2756 (x / y) * (x \ y) = (x \ y) * (x / y). [para(1026(a,1),2714(a,1,2)),flip(a)]. 2757 (((x \ y) * (x / y)) / y) * (x \ x) = (x / y) * (x \ ((y / y) * (x \ x))). [para(2756(a,1),27(a,1,1,1))]. 2758 T(x,K(y,z)) \ ((K(z,y) * x) * u) = x \ ((x * K(z,y)) * u). [para(1786(a,1),2720(a,1,1))]. 2759 K(x,y) = (T(y,x) \ 1) * ((y \ 1) \ 1). [hyper(230,a,1588,a,b,2731,a)]. 2760 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(942(a,2),2759(a,2,2)),flip(a)]. 2761 K(x,y * (z * ((u \ z) / z))) = K(x,y * (z / u)). [hyper(57,a,2660,a(flip),b,2741,a)]. 2762 K(x,T(((y * z) \ y) * (y * z),K(z \ 1,y * z) \ 1) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(2034(a,2),2743(a,1,2,1,1))]. 2763 (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). [para(2744(a,1),1660(a,1,1))]. 2764 K(x \ 1,x) * (y \ ((z * (1 / z)) * u)) = y \ u. [para(2145(a,1),2745(a,1,2)),flip(a)]. 2765 x \ (y * (K(z \ 1,z) * u)) = K(z \ 1,z) * (x \ (y * u)). [para(2682(a,1),2745(a,1,2))]. 2766 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. [para(69(a,1),2749(a,1,1,2,2)),flip(a)]. 2767 K(x,(y \ K(z * ((u \ z) / z),y \ 1)) * (z / u)) = K(x,(z * ((u \ z) / z)) * (y \ 1)). [para(1934(a,1),2761(a,1,2)),flip(a)]. 2768 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. [hyper(153,a,2766,a),flip(a)]. 2769 a(x,K(y,z),y) = 1. [hyper(99,a,2475,a(flip),b,1652,a),flip(a)]. 2770 L(x,K(x,y),z) = x. [hyper(46,a,2769,a)]. 2771 a(x,K(y,z),z) = 1. [para(1696(a,1),2769(a,1,2))]. 2772 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(2770(a,1),291(a,1,2,1))]. 2774 L(x,K(y,x),z) = x. [para(1696(a,1),2770(a,1,2))]. 2775 a(x,K(y,z \ u),u / z) = 1. [para(2228(a,1),2771(a,1,2))]. 2776 R(K(x,y),x \ y,z) = K(x,y). [hyper(2447,a,1812,a),flip(a)]. 2777 R(K(x,R(y,x \ 1,x)),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(837(a,1),2776(a,1,2))]. 2780 R(x / y,K(z,y),K(z,y) \ 1) / (x / T(y,z)) = K(z,y) \ K((x / y) * K(z,y),K(z,y) \ 1). [para(2487(a,1),1935(a,1,2))]. 2781 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(57,a,2701,a(flip),b,2042,a)]. 2782 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(5(a,1),2781(a,2,1,1))]. 2783 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(72(a,1),2781(a,1,1,1)),flip(a)]. 2784 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(83(a,2),2781(a,2,1))]. 2785 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [para(843(a,1),2784(a,2,1))]. 2786 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1321(a,2),2784(a,2,1))]. 2787 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(57,a,2524,a(flip),b,2782,a)]. 2788 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(85(a,2),2783(a,1,1))]. 2789 K(L(x,1 / x,y),z) = K(x,z). [hyper(230,a,1621,a(flip),b,2788,a),flip(a)]. 2790 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(6(a,1),2788(a,1,1,2)),flip(a)]. 2791 L(K(x,y),z,x \ 1) = K(x,y). [para(1159(a,1),2788(a,1,1)),flip(a)]. 2792 K(L(x,1 / x,y),z) != u | K(x,z) = u. [para(2788(a,2),1624(a,1))]. 2793 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(2788(a,1),1785(a,1,1))]. 2794 L(K(x,y),z * T(x,u),w) = K(L(x,z * K(x,u),w),y). [para(2470(a,1),2788(a,1,1,2)),flip(a)]. 2795 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(2791(a,1),81(a,1,2))]. 2796 K(L(x,x \ 1,y),z) != u | K(x,z) = u. [para(613(a,1),2792(a,1,1,2))]. 2797 L(x \ 1,x,y) * ((x \ 1) \ y) = x \ ((x \ 1) \ y). [hyper(230,a,1200,a(flip),b,2337,a),flip(a)]. 2798 L((x / y) \ z,x / y,y) = x \ (y * (K(x,y) * z)). [para(2208(a,1),2373(a,2,2))]. 2799 x \ (L(y,z,x) * (x * z)) != (z * y) * u | K(y,x * z) = u. [para(2490(a,2),37(a,1))]. 2800 a(x,T(y,z),T(z,y)) = a(x,y,z). [hyper(376,a,2543,a),flip(a)]. 2802 K(x,x \ 1) \ ((1 / y) * z) != u | (y \ 1) * z = u. [para(2129(a,2),2630(a,1))]. 2804 K(x,x \ 1) * ((y \ 1) * (y * z)) = L(z,y,y \ 1). [para(736(a,2),2631(a,1,1))]. 2805 x \ (y * (K(x,y) * ((x / y) * z))) = L(z,x / y,y). [para(4(a,1),2798(a,1,1)),flip(a)]. 2806 x \ (y * ((y \ x) * z)) = L(z,x / y,y). [para(2445(a,1),2805(a,1,2,2))]. 2807 L(x,y / z,z) = L(x,z \ y,z). [hyper(390,a,2806,a),flip(a)]. 2808 L((x / y) \ z,y \ x,y) = x \ (y * (K(x,y) * z)). [hyper(57,a,2798,a(flip),b,2807,a),flip(a)]. 2809 L(x,(y * z) / y,y) = L(x,z,y). [para(4(a,1),2807(a,2,2))]. 2810 L(x,y \ (z * y),y) = L(x,z,y). [para(6(a,1),2807(a,1,2)),flip(a)]. 2811 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(69(a,1),2807(a,1,2)),flip(a)]. 2812 L(x,y \ (y / z),y) = L(x,y \ (z \ y),y). [para(718(a,1),2807(a,1,2))]. 2813 L(x,T(y,z),z) = L(x,y,z). [para(182(a,1),2809(a,1,2)),flip(a)]. 2814 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(230,a,1693,a,b,2813,a)]. 2815 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(57,a,302,a(flip),b,2813,a),flip(a)]. 2816 L(x,(y / z) \ 1,z \ 1) = L(x,(z \ y) \ 1,z \ 1). [para(1854(a,1),2813(a,1,2))]. 2817 L(x,K(y,T(z,u)),u) = L(x,K(y,z),u). [para(1974(a,2),2813(a,1,2))]. 2818 L(T(x,y) \ L(y \ (x * y),z,u),x,y) = ((x * y) \ y) * L(((x * y) \ y) \ 1,z,u). [hyper(230,a,1245,a,b,2815,a),flip(a)]. 2819 L(T(x,y) \ R(y \ (x * y),z,u),x,y) = ((x * y) \ y) * R(((x * y) \ y) \ 1,z,u). [hyper(230,a,1242,a,b,2815,a),flip(a)]. 2820 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(4(a,1),2815(a,1,1))]. 2821 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(2192(a,1),2815(a,1,1)),flip(a)]. 2822 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(110,a,2820,a(flip))]. 2823 (x * y) * L(z,x,y) != u | y * (T(x,y) * z) = u. [para(2820(a,2),203(a,1,2))]. 2824 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)). [hyper(410,a,2822,a),flip(a)]. 2825 ((x * y) / x) * (x * z) = (x * y) * L(z,x,y). [hyper(230,a,1937,a,b,2822,a)]. 2826 (x \ 1) * (T(x,x \ 1) * y) = L(y,x,x \ 1). [hyper(169,a,2822,a),flip(a)]. 2827 (x \ 1) * (T(x,x \ 1) * y) != z | L(y,x,x \ 1) = z. [para(2822(a,1),169(a,1))]. 2828 ((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z. [para(2822(a,1),1356(a,1,1)),flip(a)]. 2829 L((x \ (x / y)) \ z,x \ (y \ x),x) = (x / y) \ (x * z). [hyper(57,a,298,a(flip),b,2812,a),flip(a)]. 2830 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(2814(a,1),1283(a,1))]. 2831 L(x,y \ (z * y),y) != u | L(x,z,y) = u. [para(17(a,1),2830(a,1,2))]. 2832 L(x,(y \ z) \ z,y \ z) != u | L(x,y,y \ z) = u. [para(94(a,1),2830(a,1,2))]. 2833 L(x,y,z) != u | L(L(x,y,z),w,x \ 1) = u. [para(1162(a,1),2830(a,1))]. 2834 L(x,K(y,T(z,u)),u) != w | L(x,K(y,z),u) = w. [para(1974(a,2),2830(a,1,2))]. 2835 L(x,y,(y * z) / y) = L(x,y,z). [hyper(391,a,2825,a)]. 2836 L(x,y,z / y) = L(x,y,y \ z). [para(5(a,1),2835(a,1,3,1))]. 2837 L(x,y,T(z,y)) = L(x,y,z). [para(182(a,1),2835(a,1,3)),flip(a)]. 2838 (T(x,y) * y) \ (z * T(x,y)) = L(y \ T(z,T(x,y)),y,x). [hyper(57,a,269,a(flip),b,2837,a)]. 2839 L(x,y,R(T(z,y),u,w)) = L(x,y,R(z,u,w)). [para(22(a,2),2837(a,1,3))]. 2840 T(x,y) * (y * (T(x * y,y) \ (z * y))) = (T(x,y) * L(T(x,y) \ z,y,x)) * y. [para(2837(a,1),1415(a,1,1,2)),flip(a)]. 2841 L(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [para(1974(a,2),2837(a,1,3))]. 2842 L(x,y \ z,T(u,z \ y)) = L(x,y \ z,u). [para(2066(a,1),2837(a,1,3)),flip(a)]. 2843 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(57,a,84,a,b,2836,a)]. 2844 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(57,a,299,a(flip),b,2836,a),flip(a)]. 2845 x * L(y,z,z \ x) = (x / z) * (z * y). [para(2836(a,1),284(a,1,2))]. 2846 x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. [para(2843(a,1),203(a,1,2))]. 2848 L(x \ y,x,x \ z) * z = T((z / x) * y,z). [para(2844(a,2),649(a,2,1)),flip(a)]. 2849 x \ ((x / y) * (y * z)) != u | L(z,y,y \ x) = u. [para(2845(a,1),241(a,1,2))]. 2850 x \ (x / L(y,z,z \ x)) = ((x / z) * (z * y)) \ x. [para(2845(a,1),2280(a,1,1)),flip(a)]. 2851 T(R(x,y,z) * y,y) \ (T(x * y,y) * z) = L(z,y,R(x,y,z)). [hyper(57,a,1329,a,b,2839,a)]. 2852 L(x,y \ (z \ y),T(y,z)) = L(x,y \ (z \ y),y). [para(747(a,1),2842(a,1,3))]. 2853 (x \ 1) * ((T(x,x \ 1) * y) * K(x,z)) = L(y,x,x \ 1) * K(x,z). [para(2826(a,1),2795(a,1,1)),flip(a)]. 2854 T(x * (y * L(z,x,y)),y) = (T(x,y) * L(z,y,x)) * y. [para(2824(a,1),589(a,1,1))]. 2856 L(x,y,z / y) != u | L(x,y,y \ z) = u. [para(84(a,1),2849(a,1))]. 2857 L(x \ (x / T(y,z)),y \ (z \ y),y) = L(T(y,z) \ 1,T(y,z),x). [hyper(57,a,2292,a(flip),b,2852,a),flip(a)]. 2858 L((x \ (x / y)) \ z,x \ (y \ x),x) = (y \ x) \ (x * (K(y \ x,x) * z)). [para(718(a,1),2808(a,1,1,1))]. 2859 ((1 / x) \ y) * (1 / x) = y * K(y * x,x \ 1). [para(2633(a,1),1750(a,1,2)),flip(a)]. 2860 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(2047(a,1),2859(a,2,2))]. 2861 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(57,a,2015,a,b,1842,a)]. 2862 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). [para(2081(a,1),1878(a,1,1))]. 2863 x \ (y * (z \ T(z * (y \ x),u))) = K((y * (z \ 1)) \ x,u). [para(456(a,1),2108(a,1,2,2))]. 2864 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(1678(a,1),2215(a,1,2,1))]. 2865 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(93(a,1),2361(a,1,1,2))]. 2866 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(446(a,1),2361(a,1,1,2))]. 2867 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [hyper(33,a,2160,a,b,2865,a)]. 2869 K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). [hyper(57,a,2706,a(flip),b,2375,a),flip(a)]. 2870 a(x,y,x) \ z = K(u,u * w) * (K(w,u) * z). [hyper(230,a,1288,a,b,2869,a)]. 2871 a(x,y,x) \ z = K(u,w) * (K(w,w * u) * z). [hyper(973,a,2870,a)]. 2873 (T(x,T(y \ 1,z)) * y) * z = (T(y,z) * x) * T(z,y). [para(1845(a,2),2541(a,1,1,1,2))]. 2874 ((x \ y) * (y \ x)) \ z = ((y \ x) * (x \ y)) \ z. [hyper(100,a,2557,a)]. 2875 ((x \ y) * (y \ x)) \ y = L(y,x \ y,y \ x). [hyper(98,a,2557,a,b,2311,a(flip))]. 2877 L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * ((x \ y) \ (x \ (y / x)))) \ (x \ y). [para(679(a,1),2875(a,1,1,1)),flip(a)]. 2878 T(((x \ y) * (y \ x)) \ z,((y \ x) * (x \ y)) \ 1) = z / ((y \ x) * (x \ y)). [para(2874(a,1),1026(a,1,1))]. 2879 K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). [para(2226(a,1),2560(a,1,1))]. 2880 T(x,y) * (y * (x \ (x / y))) = x * (y * ((y * x) \ x)). [para(2280(a,1),2591(a,1,2,2))]. 2881 K(x * ((1 / y) \ z),u) = K(x * ((y \ 1) \ z),u). [para(2634(a,1),1754(a,1,1)),flip(a)]. 2882 K(x,y * (T(z,T(u / w,u) \ 1) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). [para(1499(a,1),2661(a,1,2,2)),flip(a)]. 2883 L(x \ (x / T(y,z)),z \ (y * z),z) = L((y * z) \ z,z \ (y * z),x). [para(17(a,2),2669(a,1,1,2,2))]. 2884 T(x,y) * (y * (x \ (x / y))) = x * (y * (x \ (y \ x))). [para(2316(a,1),2880(a,2,2,2))]. 2885 T(x,y) * (y \ (x \ y)) = x * (y \ (y / x)). [hyper(2369,a,2884,a)]. 2886 T(x,y) * (y \ (x \ y)) = (y \ (y / x)) * x. [hyper(230,a,2716,a,b,2885,a),flip(a)]. 2887 T(x,y) * (y \ (x \ y)) = ((x \ y) / y) * x. [para(718(a,2),2886(a,2,1))]. 2888 K(x,y) * (x * (y \ (x \ y))) = ((x \ y) / y) * x. [hyper(1968,a,2887,a)]. 2889 K(x,y \ x) * (y * (x \ (y \ x))) = ((y \ x) / x) * y. [para(1719(a,2),2888(a,1,1))]. 2890 (x \ (y \ x)) * y = y * (x \ (y \ x)). [hyper(2446,a,2889,a)]. 2891 K(x,y) * (x * ((T(x,y) \ 1) * z)) = L(z,T(x,y) \ 1,x). [hyper(2142,a,1662,a)]. 2892 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(1664(a,1),1488(a,1,2))]. 2893 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(2570(a,1),1666(a,1,2))]. 2894 K(x * R(y,z,u),y) * T(y,x) = R(y,x,R(y,z,u)). [hyper(2008,a,2893,a)]. 2895 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [para(2894(a,1),2592(a,1,2)),flip(a)]. 2896 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(230,a,2226,a(flip),b,2262,a),flip(a)]. 2897 T(x,y) \ ((y * (x \ (y \ x))) * x) = a(x \ (y \ x),y,x). [para(2890(a,1),2674(a,1,2,1))]. 2898 K(x,y * L(z / u,u,u \ 1)) = K(x,y * (L(z,u \ 1,u) / u)). [para(936(a,1),2737(a,1,2,2)),flip(a)]. 2899 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [hyper(1824,a,2891,a)]. 2900 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(296,a,2899,a)]. 2901 L(x,T(y \ 1,z),T(y,z)) = L(x,T(y,z) \ 1,y). [para(1845(a,2),2900(a,1,2))]. 2902 L(x,T(y \ 1,z),T(y,z)) = L(x,T(y \ 1,z),y). [para(1845(a,2),2901(a,2,2))]. 2903 L(x,T(y,z),T(y,z) \ 1) = L(x,T(y \ 1,z),y). [hyper(57,a,1856,a(flip),b,2902,a)]. 2904 L(x,T(y,z),T(y \ 1,z)) = L(x,T(y \ 1,z),y). [hyper(57,a,1860,a,b,2903,a)]. 2905 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(57,a,2558,a,b,2895,a)]. 2906 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(57,a,1735,a(flip),b,2896,a)]. 2908 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(7(a,1),2906(a,1,2,2)),flip(a)]. 2909 T(x \ 1,y) * (T(x,y) / z) = (z \ T(x,y)) * T(x \ 1,y). [para(1845(a,2),1855(a,2,2))]. 2910 T(x \ 1,y) * R(T((x \ 1) \ 1,x * y),z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),x * y). [para(2433(a,1),1857(a,1,1))]. 2911 T(x,(x \ 1) * y) * L(T(x \ 1,y),z,u) = T(x * L(x \ 1,z,u),(x \ 1) * y). [para(606(a,1),1858(a,1,2,1))]. 2912 T(x \ 1,y) * L(T((x \ 1) \ 1,x * y),z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(2433(a,1),1858(a,1,1))]. 2913 (x \ (x / y)) * ((((x / y) \ x) \ 1) \ z) = (z / (((x / y) \ x) \ 1)) * L(y \ 1,y,x). [para(2279(a,2),2103(a,1,2)),flip(a)]. 2914 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(2701(a,1),2113(a,1))]. 2915 L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. [para(72(a,1),2914(a,1,1,1))]. 2916 K(x,T(y,z)) * T(y \ z,y) = T(T(y,y \ z),x) \ z. [para(670(a,1),2199(a,1,1,2))]. 2917 ((x / y) * y) * R((x / y) \ ((x / y) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). [hyper(230,a,2845,a,b,2287,a),flip(a)]. 2918 x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x / T(x \ (x / y),z)),u,w). [para(2405(a,1),2288(a,1,1)),flip(a)]. 2919 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(1917(a,1),2354(a,1,2,2))]. 2920 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(1917(a,1),2364(a,1,1,1)),flip(a)]. 2921 (T(x,y) * K(L(x,z,u) \ 1,y)) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). [hyper(2535,a,2438,a)]. 2922 (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). [hyper(57,a,2478,a(flip),b,2479,a)]. 2923 (x * L(y,z,u)) * K(y,w) = x * (K(y,w) * L(y,z,u)). [hyper(230,a,2772,a(flip),b,2922,a),flip(a)]. 2925 (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5. [para(2923(a,1),2175(a,1,1))]. 2926 K(x,T(y * (1 / z),z) * u) = K(x,((1 / z) * y) * u). [para(589(a,1),2637(a,2,2,1))]. 2927 K(x,T(y * (1 / z),z) * u) = K(x,((z \ 1) * y) * u). [para(613(a,1),2926(a,2,2,1,1))]. 2928 K(x,((1 / y) * z) * u) = K(x,((y \ 1) * z) * u). [hyper(57,a,2926,a(flip),b,2927,a)]. 2929 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(89(a,1),2708(a,2,2))]. 2930 K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,u)). [para(606(a,1),2711(a,2,2,2))]. 2931 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [hyper(57,a,2711,a(flip),b,2930,a)]. 2932 K(x,y \ (z * K(((u \ w) \ 1) \ 1,z * ((u \ w) \ 1)))) = K(x,y \ T(z,w \ u)). [para(2067(a,1),2930(a,2,2,2))]. 2933 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(5(a,1),2931(a,1,2,2,2)),flip(a)]. 2934 K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). [para(94(a,1),2933(a,1,2,2))]. 2935 K(x,y \ T(z * ((z / u) / z),T(z,u \ 1))) = K(x,y \ (u \ T(z,u \ 1))). [para(1500(a,1),2934(a,1,2,2,1)),flip(a)]. 2936 K(x,y / (x / z)) \ K(((x \ (y * z)) * x) / z,(((x \ (y * z)) * x) / z) \ y) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [hyper(57,a,2595,a(flip),b,2722,a),flip(a)]. 2937 (x * ((x / K(y,z / (y / u))) / x)) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). [para(2722(a,2),1500(a,1,2,2))]. 2939 K((x \ 1) \ 1,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(2338(a,1),2754(a,2,1))]. 2940 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(614(a,1),2939(a,1,1,1))]. 2941 K(x,y) * ((y \ K(y,x)) * z) = (y \ 1) * z. [hyper(2140,a,2940,a)]. 2942 K(x,y) \ ((x \ K(x,y)) * z) = (x \ 1) * z. [hyper(101,a,2940,a)]. 2943 K(x,y) * (z * (y \ K(y,x))) = (y \ 1) * T(z,y \ K(y,x)). [para(93(a,1),2941(a,1,2))]. 2944 L(x,T(y,y \ K(y,z)),y \ K(y,z)) = (y \ 1) * (((y \ K(y,z)) \ K(y,z)) * x). [hyper(57,a,379,a,b,2942,a)]. 2945 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y,K(z \ 1,z) * u). [para(2763(a,2),9(a,2,2)),flip(a)]. 2946 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1126(a,1),2919(a,1,1,2))]. 2947 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(110,a,2920,a(flip))]. 2948 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(2629(a,1),1722(a,1,2))]. 2949 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(462,a,2948,a),flip(a)]. 2950 K(x,y \ 1) * (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [hyper(2142,a,1797,a)]. 2951 L(K(x,T(y,z)) * u,K(y,T(x,z)),z) = (K(y,x) * z) \ (z * u). [para(2245(a,1),1986(a,1,2,2)),flip(a)]. 2952 K(x,L(x,y,z) \ u) = T(u,x) \ u. [para(5(a,1),2363(a,1,1,1)),flip(a)]. 2953 K(x,L(x,y,z) \ u) = K(x,u). [hyper(230,a,1586,a,b,2952,a),flip(a)]. 2954 (x * (y * K(z,u))) \ (x * (y * T(u,z \ 1))) = L(u,y * K(u,z \ 1),x). [para(1696(a,1),2499(a,1,1,2,2))]. 2955 K(x,y) * (x * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),x). [para(1696(a,1),2950(a,1,1))]. 2956 L(x,T(y \ 1,z),y) != u | T(y,z) * (T(y \ 1,z) * x) = u. [para(2955(a,1),1824(a,1))]. 2957 L(K(x,T(y,z)) * u,K(y,x),z) = (K(y,x) * z) \ (z * u). [hyper(2834,a,2951,a)]. 2958 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(57,a,1687,a(flip),b,1912,a)]. 2959 K(x,y) * (T(K(x,y),z) * (y \ u)) = K(x,T(y,z)) * (T(y,x) \ u). [para(1974(a,2),2196(a,2,1))]. 2960 x * (T(x,y) \ (K(y,T(x,z)) * u)) = T(K(y,x),z) * (K(y,x) * u). [para(1974(a,2),2212(a,1,2,2,1))]. 2961 T(x * (y \ 1),K(y,y \ z)) = (y \ 1) * T(x,y \ K(y,z)). [para(2046(a,1),2614(a,1,2))]. 2962 (x \ 1) * T(y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)). [para(1597(a,1),2961(a,1,2)),flip(a)]. 2963 K(x,y) * (z * (y \ K(y,x))) = T(z * (y \ 1),K(y,x)). [hyper(57,a,2943,a,b,2962,a)]. 2964 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(5(a,1),2705(a,1,1,2,2,1))]. 2965 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(230,a,2025,a(flip),b,2964,a),flip(a)]. 2966 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(2964(a,2),2087(a,1))]. 2967 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(2965(a,1),319(a,1,1))]. 2968 L(x \ (x / T(y,z)),y \ (z \ y),y) = L(T(y \ 1,z),T(y,z),x). [para(1845(a,2),2857(a,2,1))]. 2969 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(2655(a,1),2892(a,1,2))]. 2970 K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). [para(1097(a,1),2898(a,1,2,2)),flip(a)]. 2971 K(x,y * L(z / u,u,u \ 1)) = K(x,y * (z * (u \ 1))). [hyper(57,a,2898,a,b,2970,a)]. 2972 (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(2958(a,1),1131(a,2,1,2)),flip(a)]. 2973 K(x,y) * (T(K(x,y),z) * (y \ u)) = T(T(y,x),T(x,z)) \ u. [hyper(230,a,2563,a(flip),b,2959,a),flip(a)]. 2974 K(x,y) * (K(x,T(y,z)) * (y \ u)) = T(T(y,x),T(x,z)) \ u. [para(1974(a,2),2973(a,1,2,1))]. 2975 K(x,y) * (T(y,T(x,z)) \ u) = T(T(y,x),T(x,z)) \ u. [para(2247(a,1),2974(a,1,2))]. 2976 x * (K(y,x) * (T(x,T(y,z)) \ u)) = T(K(y,x),z) * (K(y,x) * u). [para(2564(a,1),2960(a,1,2))]. 2977 L(T(x \ (x / y),z),y \ (z \ y),y) = L(T(y \ 1,z),T(y,z),x). [para(2408(a,2),2968(a,1,1))]. 2978 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(57,a,2715,a(flip),b,2969,a),flip(a)]. 2980 K(x,(y \ z) * (z \ y)) = 1. [hyper(99,a,2978,a,b,1590,a),flip(a)]. 2981 T(x,(y \ z) * (z \ y)) = x. [hyper(48,a,2978,a)]. 2982 K(x,y * ((z * y) \ z)) = 1. [para(4(a,1),2980(a,1,2,1))]. 2983 T(x,((y \ z) * (z \ y)) \ 1) = x. [hyper(1032,a,2981,a)]. 2984 K(x * ((y * x) \ y),z) = 1. [hyper(1751,a,2982,a)]. 2985 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(50,a,2984,a)]. 2986 T(x,((y \ z) * (z \ y)) \ 1) != u | x = u. [para(2983(a,1),43(a,2))]. 2987 K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * (y \ (y * ((x * y) \ x)))). [para(2985(a,1),2863(a,1,2,2,2)),flip(a)]. 2988 T(K(x,y),z) * (K(x,y) * u) = y * (T(T(y,x),T(x,z)) \ u). [para(2975(a,1),2976(a,1,2)),flip(a)]. 2989 K(x,y) * (T(K(x,y),z) * u) = y * (T(T(y,x),T(x,z)) \ u). [hyper(57,a,493,a(flip),b,2988,a)]. 2990 L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,z). [hyper(57,a,2724,a(flip),b,2977,a),flip(a)]. 2992 L(L(T(x \ 1,y),x,z),x,y) = L(y \ (x \ y),T(x,y),z). [para(2990(a,1),2346(a,1,1))]. 2993 L(x \ (y \ x),T(y,x),z) = L(x \ (y \ x),y,z). [hyper(57,a,2346,a(flip),b,2992,a),flip(a)]. 2994 a(x * (y / x),x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(7(a,1),2603(a,1,2,1,2)),flip(a)]. 2995 a(x * (y / x),x,z) != u | a(y,T(x,y),z) = u. [para(2994(a,2),463(a,1))]. 2996 K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y). [para(644(a,2),2707(a,1,2))]. 2997 K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(644(a,2),2709(a,1,2))]. 2998 (x / y) \ ((y \ x) * ((x \ y) * (x / y))) = (x \ y) * (y \ x). [para(637(a,1),2718(a,1,1))]. 2999 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(1778(a,1),1836(a,1,2)),flip(a)]. 3000 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(230,a,13,a,b,2999,a),flip(a)]. 3001 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(2999(a,2),295(a,1))]. 3002 K(x,y / x) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). [para(2024(a,1),2121(a,1,1))]. 3003 K(x,y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). [para(1728(a,1),3002(a,1,1))]. 3004 L(x \ (x / y),x,L(y,z,u)) = L(y \ 1,y,L(y,z,u) * x). [hyper(412,a,2291,a)]. 3005 L(x \ 1,x,L(x,y,z) * u) = L(x \ 1,x,u). [hyper(57,a,2670,a(flip),b,3004,a),flip(a)]. 3007 L(x \ 1,x,L(x,y,z) \ u) = L(x \ 1,x,u). [para(5(a,1),3005(a,1,3)),flip(a)]. 3008 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). [para(2280(a,1),2298(a,1,2,1,1))]. 3009 (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(2280(a,1),2299(a,1,2,1,1))]. 3010 x * (y * L(T(T(x \ 1,y),z),u,w)) = L(T(x \ 1,z),u,w) * (x * y). [hyper(1191,a,2435,a)]. 3011 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(57,a,2065,a(flip),b,2632,a)]. 3013 T(x \ y,z \ (x \ y)) * (y \ x) = T(y \ x,z) * (x \ y). [para(2049(a,1),2713(a,2,1))]. 3014 T(x \ y,z \ (x \ y)) * (y \ x) = (x \ y) * T(y \ x,z). [hyper(230,a,2055,a(flip),b,3013,a),flip(a)]. 3015 T(x \ y,z \ 1) * (y \ x) = (x \ y) * T(y \ x,z). [para(1022(a,2),3014(a,1,1))]. 3016 (x \ y) * T(y \ x,z \ 1) = (y \ x) * T(x \ y,z). [hyper(57,a,2055,a(flip),b,3015,a)]. 3017 (x \ y) * T(y \ x,y) = (y \ x) * (y / x). [para(1036(a,1),3016(a,1,2)),flip(a)]. 3018 (x / y) * (x \ ((y / y) * (x \ x))) = ((x \ y) * (x / y)) / y. [hyper(166,a,2757,a),flip(a)]. 3020 ((x \ y) * (x / y)) / y = (x / y) * (x \ (1 * (x \ x))). [para(66(a,1),3018(a,1,2,2,1)),flip(a)]. 3022 ((x \ y) * (x / y)) / y = (x / y) * (x \ 1). [para(137(a,1),3020(a,2,2,2))]. 3023 ((x / y) * (x \ 1)) * y = (x \ y) * (x / y). [hyper(108,a,3022,a)]. 3025 T((x / y) * (x \ 1),y) != z | y \ ((x \ y) * (x / y)) = z. [para(3022(a,1),274(a,1,1))]. 3026 K(x,y) * ((x \ y) * (x / y)) = y * ((x \ 1) * (x / y)). [para(3023(a,1),3003(a,1,2))]. 3027 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(93(a,1),2866(a,1,1,2,2))]. 3028 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(1136(a,2),3027(a,1,1))]. 3029 L(T(x \ (x / y),z),z \ (y * z),z) = L((y * z) \ z,z \ (y * z),x). [para(2408(a,2),2883(a,1,1))]. 3030 K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * ((x * y) \ x)). [para(4(a,1),2987(a,2,2,2))]. 3031 K(((x * y) * (y \ 1)) \ x,z) = 1. [hyper(230,a,201,a(flip),b,3030,a),flip(a)]. 3034 K(L(x,y,y \ 1) \ x,z) = 1. [para(1098(a,1),3031(a,1,1,1))]. 3035 K(a(x,x \ 1,y),z) = 1. [para(1181(a,1),3034(a,1,1))]. 3036 T(a(x,x \ 1,y),z) = a(x,x \ 1,y). [hyper(50,a,3035,a)]. 3037 x / a(y,y \ 1,z) != u | a(y,y \ 1,z) \ x = u. [para(3036(a,1),239(a,1,2))]. 3038 x \ ((x / y) * R((x / y) \ x,z,u)) = (x * y) \ (x * R(y,z,u)). [hyper(57,a,1242,a(flip),b,3008,a)]. 3039 (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). [para(72(a,1),3038(a,1,2,2,1)),flip(a)]. 3040 x \ ((x / y) * L((x / y) \ x,z,u)) = (x * y) \ (x * L(y,z,u)). [hyper(57,a,1245,a(flip),b,3009,a)]. 3041 (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). [para(72(a,1),3040(a,1,2,2,1)),flip(a)]. 3042 T(x * L(y,z,u),x * y) / (x * y) = x \ ((x / y) * L(y,z,u)). [hyper(678,a,3041,a)]. 3043 L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). [hyper(412,a,3041,a)]. 3044 L(x \ ((x / y) * L(y,z,u)),x * y,w) = (w * (x * y)) \ (w * (x * L(y,z,u))). [para(3041(a,1),83(a,1,1))]. 3045 (x \ ((x / y) * L(y,z,u))) * (x * y) != w | T(x * L(y,z,u),x * y) = w. [para(3041(a,1),709(a,1,1))]. 3046 L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u). [hyper(230,a,2844,a,b,3043,a)]. 3047 x * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u). [hyper(110,a,3043,a(flip))]. 3048 L(x \ L(x,y,z),x,u) != u \ w | (u / x) * L(x,y,z) = w. [para(3043(a,2),41(a,1))]. 3049 (x \ ((x / y) * L(y,z,u))) * (x * y) = x * (y * T(y \ L(y,z,u),x * y)). [para(3043(a,1),353(a,2,1)),flip(a)]. 3050 L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). [para(1361(a,1),3043(a,2,2))]. 3051 (x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x) = L(x \ L(x,y,z),x,u) \ T(L(x,y,z),x). [para(3043(a,1),1393(a,1,2,1))]. 3052 K(L(x \ L(x,y,z),x,u),w) != v5 | K(w,((u / x) * L(x,y,z)) \ u) = v5. [para(3043(a,2),2043(a,1,1))]. 3053 (x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x) = ((x / y) * L(y,z,u)) / (y \ L(y,z,u)). [para(3047(a,1),1356(a,1,1)),flip(a)]. 3054 x \ (x / L(y \ L(y,z,u),y,x)) = ((x / y) * L(y,z,u)) \ x. [para(3047(a,1),2280(a,1,1)),flip(a)]. 3055 L(T(x \ L(x,y,z),u),x,x \ w) = T(L(x \ L(x,y,z),x,w),u). [para(3046(a,1),20(a,2,1))]. 3056 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). [hyper(57,a,305,a(flip),b,3050,a)]. 3057 L(((x * y) \ ((x * (y * z)) / z)) \ 1,((x * y) * z) \ (x * (y * z)),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [para(3056(a,1),2286(a,1,1,1))]. 3058 L(T(x \ L(x,y,z),u),x,x \ w) = L(T(x \ L(x,y,z),u),x,w). [hyper(230,a,20,a,b,3055,a),flip(a)]. 3059 ((x / y) * (y * T(y \ L(y,z,u),w))) \ x = x \ (x / L(T(y \ L(y,z,u),w),y,x)). [para(3058(a,1),2850(a,1,2,2)),flip(a)]. 3060 L(T(x \ 1,y),z,u) * (x * w) = x * (L(T(x \ 1,y),z,u) * w). [para(354(a,1),3010(a,1,2)),flip(a)]. 3061 (x \ 1) * (L(T((x \ 1) \ 1,x),y,z) * u) = L(1 / (x \ 1),y,z) * ((x \ 1) * u). [para(1030(a,1),3060(a,1,1,1)),flip(a)]. 3062 x * (L(T(x \ 1,y),x,y) * z) = (y \ (x \ y)) * (x * z). [para(2332(a,1),3060(a,1,1)),flip(a)]. 3063 (x \ (y \ x)) * (y * z) = y * ((x \ (y \ x)) * z). [para(2332(a,1),3062(a,1,2,1)),flip(a)]. 3064 (x * ((y \ (x \ y)) * z)) \ (((y \ (x \ y)) * x) * z) = a(y \ (x \ y),x,z). [para(3063(a,1),9(a,2,1)),flip(a)]. 3065 L(T(x \ (x / y),z),y,z) = L((y * z) \ z,z \ (y * z),x). [hyper(2831,a,3029,a)]. 3066 L(T(x \ (x / y),z),y,z) = L(z \ (y \ z),z \ (y * z),x). [para(2316(a,1),3065(a,2,1))]. 3067 L(T(x \ (x / y),z),y,z) = L(z \ (y \ z),T(y,z),x). [para(17(a,2),3066(a,2,2))]. 3068 L(T(x \ (x * (y \ x)),z),x \ y,z) = L(z \ ((x \ y) \ z),T(x \ y,z),x). [para(2305(a,1),3067(a,1,1,1,2))]. 3069 ((x / (y * z)) * z) \ (x * K(z * y,y)) = L(y,T(z,y),x / (z * y)). [para(2627(a,1),2477(a,1,1))]. 3070 L(x,T(y,x),z / (y * x)) = ((z / (x * y)) * y) \ (z * K(y,x)). [para(1806(a,1),3069(a,1,2,2)),flip(a)]. 3071 (x \ y) \ (y * (K(x \ y,y) * z)) = (y / x) \ (y * z). [hyper(57,a,2829,a(flip),b,2858,a),flip(a)]. 3072 (x \ y) \ (y * (K(y,x) * z)) = (y / x) \ (y * z). [para(1730(a,1),3071(a,1,2,2,1))]. 3073 (x \ y) \ (T(y,x) * z) = (y / x) \ (y * z). [para(1596(a,1),3072(a,1,2))]. 3074 (x \ (y * x)) \ (T(y * x,x) * z) = y \ ((y * x) * z). [hyper(230,a,128,a(flip),b,3073,a),flip(a)]. 3075 T(x,y) \ (T(x * y,y) * z) = x \ ((x * y) * z). [para(17(a,2),3074(a,1,1))]. 3076 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(230,a,9,a,b,2929,a)]. 3077 ((x * y) * z) \ u != a(z,x,y) | R(z,x,y) * T(x * y,z) = u. [para(3076(a,2),41(a,1)),flip(a)]. 3078 (x * ((y \ (x \ y)) * z)) \ ((x * (y \ (x \ y))) * z) = a(y \ (x \ y),x,z). [para(2890(a,1),3064(a,1,2,1))]. 3079 a(x \ (y \ x),y,z) = a(y,x \ (y \ x),z). [hyper(376,a,3078,a),flip(a)]. 3081 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(2293(a,1),2303(a,1,2,1,1))]. 3082 (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). [para(2293(a,1),2304(a,1,2,1,1))]. 3083 L(x \ L(y,K(x,z),u),x,u * K(x,z)) = L(x \ y,T(x,z),u). [hyper(230,a,1822,a(flip),b,2502,a),flip(a)]. 3084 R(x,y,L(K(x \ 1,z),y,x)) = x. [hyper(235,a,2702,a),flip(a)]. 3086 R(x,y,K(x \ 1,z)) = x. [para(2699(a,1),3084(a,1,3))]. 3087 R(x,y,K(x,z)) = x. [para(1697(a,1),3086(a,1,3))]. 3089 R(T(x,y),z,K(x,u)) = T(x,y). [para(3087(a,1),22(a,2,1))]. 3090 (x * y) * K(x,z) = x * (y * K(x,z)). [para(3087(a,1),89(a,1,1)),flip(a)]. 3091 x \ (y * K(x,z)) = (x \ y) * K(x,z). [para(3087(a,1),322(a,1,1))]. 3092 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(3087(a,1),311(a,1,1,1)),flip(a)]. 3093 T(x,y) \ (z * K(x,u)) = (T(x,y) \ z) * K(x,u). [para(3089(a,1),322(a,1,1))]. 3094 a(x,y,K(x,z)) = 1. [hyper(99,a,3090,a(flip),b,75,a),flip(a)]. 3095 a(x * y,z,K(y,x)) = 1. [para(1689(a,1),3094(a,1,3))]. 3096 a(x,y,K(z,x)) = 1. [para(1696(a,1),3094(a,1,3))]. 3097 L(K(x,y),z,y) = K(x,y). [hyper(46,a,3096,a)]. 3098 L(K(x,y),z,y * x) = K(x,y). [hyper(46,a,3095,a)]. 3099 K(L(x,y,z),z) = K(x,z). [hyper(57,a,2790,a(flip),b,3097,a)]. 3100 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(57,a,2782,a(flip),b,3097,a),flip(a)]. 3101 (x * y) * K(z,x) = x * (y * K(z,x)). [para(3097(a,1),81(a,1,2))]. 3102 x \ (y * K(z,x)) = (x \ y) * K(z,x). [para(3097(a,1),327(a,1,2,2))]. 3103 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),3099(a,1,1))]. 3104 K(x,L(y,z,x)) = 1 / K(y,x). [para(3099(a,1),1781(a,1,2)),flip(a)]. 3105 ((x * y) * z) * K(y,x) = (x * y) * (z * K(y,x)). [para(3098(a,1),81(a,1,2))]. 3107 K(x,L(y,z,x)) = K(x,y). [hyper(230,a,1781,a(flip),b,3104,a),flip(a)]. 3108 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),3107(a,1,2))]. 3109 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(222(a,1),3107(a,1,2))]. 3110 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(298(a,1),3107(a,1,2)),flip(a)]. 3111 T(x,L(y,z,x)) = x * K(x,y). [para(3107(a,1),1592(a,2,2))]. 3112 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(3107(a,1),2790(a,1,1)),flip(a)]. 3113 T(x,L(y,z,x)) = T(x,y). [hyper(230,a,1592,a,b,3111,a),flip(a)]. 3114 T(x,L(y,z,x)) != u | T(x,y) = u. [para(3111(a,2),1607(a,1))]. 3115 T(x,L(L(y,z,x),u,w)) = T(x,L(y,u,w)). [para(25(a,1),3113(a,1,2))]. 3116 L(x,y,z) * T(z,x) = z * L(x,y,z). [para(3113(a,1),93(a,1,2))]. 3118 T(x,T((x * y) \ z,u)) != w | T(x,T(y \ (x \ z),u)) = w. [para(329(a,1),3114(a,1,2))]. 3119 T(x * K(y,z),y) / y = (y \ x) * K(y,z). [hyper(678,a,3091,a)]. 3120 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(2531,a,3102,a)]. 3121 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(5(a,1),3109(a,1,2,1)),flip(a)]. 3122 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(282(a,1),3109(a,1,2,1)),flip(a)]. 3123 T(L(x,y,z) * z,x) = z * L(x,y,z). [hyper(57,a,1371,a,b,3116,a)]. 3124 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(230,a,2551,a(flip),b,3120,a),flip(a)]. 3125 ((x * y) \ z) * K(x,x * y) = T(z / (y * x),x * y). [para(589(a,1),3120(a,1,1,2)),flip(a)]. 3126 T(x * K(y,z),y) = (y \ x) * T(y,z). [hyper(2482,a,3119,a),flip(a)]. 3127 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(230,a,2790,a(flip),b,3112,a),flip(a)]. 3128 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(292,a,3092,a)]. 3129 (x \ 1) * (T(x,x \ 1) * (y * K(x,z))) = L(y,x,x \ 1) * K(x,z). [para(3092(a,1),2853(a,1,2))]. 3130 T(x / (y * z),z * y) = ((z * y) \ x) * K(z,y). [para(1647(a,1),3125(a,1,2)),flip(a)]. 3131 (x * y) \ (z * K(x,y)) = ((x * y) \ z) * K(x,y). [hyper(2619,a,3130,a)]. 3133 L(x,y,y \ 1) * K(y,z) != u | L(x * K(y,z),y,y \ 1) = u. [para(3129(a,1),2827(a,1))]. 3134 x / ((y \ z) * (z \ y)) = ((z \ y) * (y \ z)) \ x. [hyper(2986,a,2878,a),flip(a)]. 3137 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1435(a,1),2905(a,1,2))]. 3138 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(376,a,3137,a),flip(a)]. 3139 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(57,a,2895,a,b,3138,a)]. 3140 K(R(x,y,z) * u,x) * K(x,u) = a(x,u,R(x,y,z)). [para(2257(a,2),3139(a,1,1))]. 3141 K(x,y) * K(R(x,z,u) * y,x) = a(x,y,R(x,z,u)). [hyper(2002,a,3140,a)]. 3142 K(R(x,y,z) * u,x) = K(x * u,x). [hyper(28,a,2268,a(flip),b,3141,a),flip(a)]. 3143 K(R(x,y,z) * u,x) = K(u,x). [hyper(230,a,1689,a(flip),b,3142,a),flip(a)]. 3145 K((x * y) * z,x) = K(y * z,x). [para(89(a,1),3143(a,1,1))]. 3146 (R(x,y,z) * u) * K(u,x) = T(R(x,y,z) * u,x). [para(3143(a,1),1592(a,2,2)),flip(a)]. 3147 T((x * y) * z,K(y * z,x)) = (x * y) * z. [para(3145(a,1),1609(a,1,2))]. 3148 T(R(x,y,z) * u,x) = R(x,y,z) * T(u,x). [hyper(2519,a,3146,a),flip(a)]. 3149 L(x \ ((y \ z) \ x),T(y \ z,x),y) = L(T(z \ y,x),y \ z,x). [para(4(a,1),3068(a,1,1,1)),flip(a)]. 3150 L(x \ ((y \ z) \ x),y \ z,y) = L(T(z \ y,x),y \ z,x). [hyper(57,a,2993,a(flip),b,3149,a)]. 3152 ((x \ y) * (y \ x)) * ((x \ y) \ z) = z * L(T(y \ x,z),x \ y,z). [para(3150(a,1),570(a,2,2))]. 3153 L(x \ y,y \ x,z) * z = ((y \ x) * (x \ y)) * ((y \ x) \ z). [hyper(230,a,189,a(flip),b,3152,a)]. 3154 x \ ((x / y) * R((x / y) \ x,z,u)) = (x * R(T(y,x),z,u)) / (y * x). [hyper(57,a,1242,a(flip),b,3081,a)]. 3155 (x * R(T(y,x),z,u)) / (y * x) = x \ ((x / y) * R(y,z,u)). [para(72(a,1),3154(a,1,2,2,1)),flip(a)]. 3156 (R(x,y,z) * u) / (x * u) = u \ ((u / x) * R(x,y,z)). [para(190(a,1),3155(a,1,1))]. 3157 x \ ((x / y) * L((x / y) \ x,z,u)) = (x * L(T(y,x),z,u)) / (y * x). [hyper(57,a,1245,a(flip),b,3082,a)]. 3158 (x * L(T(y,x),z,u)) / (y * x) = x \ ((x / y) * L(y,z,u)). [para(72(a,1),3157(a,1,2,2,1)),flip(a)]. 3159 (L(x,y,z) * u) / (x * u) = u \ ((u / x) * L(x,y,z)). [para(189(a,1),3158(a,1,1))]. 3160 ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / ((x \ 1) * ((x \ 1) \ y)). [para(2797(a,1),3159(a,1,1)),flip(a)]. 3161 L(K(x,T(y,x \ y)) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). [para(1974(a,2),1813(a,1,1,1))]. 3162 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = x * (y * T(z,u)). [hyper(230,a,289,a(flip),b,2012,a),flip(a)]. 3163 (x * (y * z)) * K((x * y) \ (x * (y * z)),u) = x * (y * T(z,u)). [para(2032(a,1),3162(a,1,2))]. 3164 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(13(a,2),3163(a,1,2,1))]. 3165 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [hyper(2174,a,3164,a)]. 3166 (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). [para(93(a,1),3164(a,2,2))]. 3167 K(L(x,y,z),y) = K(x,y). [hyper(2618,a,3166,a),flip(a)]. 3168 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(2174,a,3166,a)]. 3170 K(x,L(y,x,z)) = K(x,y). [hyper(2618,a,3168,a),flip(a)]. 3171 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(222(a,1),3170(a,1,2))]. 3172 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [para(298(a,1),3170(a,1,2)),flip(a)]. 3173 K(x,y) * (L(y,x,z) * x) = x * L(y,x,z). [para(3170(a,1),878(a,1,1))]. 3175 K(x,(y * x) \ z) != u | K(x,y \ z) = u. [para(3171(a,2),1752(a,1))]. 3176 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(1922,a,3173,a)]. 3177 T(x,L(y,x,z)) = T(x,y). [hyper(191,a,3176,a)]. 3178 T(L(x,y,z) * y,x) = y * L(x,y,z). [hyper(57,a,1371,a,b,3176,a)]. 3179 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(298(a,1),3177(a,1,2)),flip(a)]. 3180 (x * L(y,x,z)) / y = y \ (L(y,x,z) * x). [para(3178(a,1),677(a,1,1))]. 3181 x \ (L(x,y,z) * y) = (y / x) * L(x,y,z). [hyper(57,a,1356,a(flip),b,3180,a),flip(a)]. 3182 L(x,y,z) * (x \ y) = (y / x) * L(x,y,z). [hyper(1381,a,3181,a)]. 3183 K(x \ y,y \ (x * z)) = K(x \ y,z). [hyper(1752,a,3172,a),flip(a)]. 3184 K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),(x \ (y * T(y \ x,z))) \ u). [para(2096(a,1),3172(a,1,1)),flip(a)]. 3185 K(x \ y,y \ (x * z)) = K(z,y \ x). [hyper(230,a,2039,a(flip),b,3183,a),flip(a)]. 3186 K(x,y \ z) * (y \ (z * x)) = T(y \ (z * x),y \ z). [para(3185(a,1),2050(a,1,1))]. 3187 T(x \ y,y \ (x * z)) = ((x \ y) \ z) \ z. [hyper(275,a,3179,a),flip(a)]. 3188 K(x,T(y \ x,y * z)) = K(x,((y \ x) \ z) \ z). [para(3187(a,1),2266(a,1,2)),flip(a)]. 3189 K(x,T(y \ x,y * z)) = K(x,T(y \ x,z)). [hyper(230,a,1815,a(flip),b,3188,a),flip(a)]. 3190 L(T(K(x,y),z) \ u,T(K(x,y),z),K(y,x) * z) = z \ ((K(y,x) * z) * u). [para(2156(a,1),2218(a,1,2))]. 3191 L(K(T(x,y),z) * u,T(K(z,x),y),K(x,z) * y) = y \ ((K(x,z) * y) * u). [para(2158(a,1),3190(a,1,1))]. 3192 L(K(x,T(y,z)) * u,T(K(y,x),z),K(x,y) * z) = z \ ((K(x,y) * z) * u). [para(2226(a,1),3191(a,1,1,1))]. 3193 L(K(x,T(y,z)) * u,K(y,T(x,z)),K(x,y) * z) = z \ ((K(x,y) * z) * u). [para(1974(a,2),3192(a,1,2))]. 3194 T(x * (y * L(T(x,y) \ z,x,y)),y) = T(x,y) * (y * (T(x * y,y) \ (z * y))). [hyper(230,a,2854,a,b,2840,a)]. 3195 (T(x,y) * K(y,L(x,z,u))) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). [para(1698(a,1),2921(a,1,1,2))]. 3196 L(K(x,y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). [para(1686(a,1),3161(a,1,1,1))]. 3197 L(K(x,y) * z,T(K(y,x),y \ x),y \ x) = (x / y) \ ((y \ x) * z). [para(2129(a,1),3196(a,1,1))]. 3198 L(K(x,y) * z,K(y,x),y \ x) = (x / y) \ ((y \ x) * z). [hyper(2830,a,3197,a)]. 3199 (x / y) \ ((y \ x) * z) = K(x,y) * z. [hyper(1716,a,3198,a),flip(a)]. 3201 K(x,y) * ((x \ y) * (x / y)) = (x \ y) * (y \ x). [hyper(57,a,2998,a(flip),b,3199,a),flip(a)]. 3202 x * ((y \ 1) * (y / x)) = (y \ x) * (x \ y). [hyper(57,a,3026,a(flip),b,3201,a)]. 3203 x * ((x \ y) * (y \ 1)) = (y \ x) * (x \ y). [hyper(57,a,1077,a(flip),b,3202,a)]. 3204 ((x \ 1) * (x / y)) \ 1 = y / ((x \ y) * (y \ x)). [para(3202(a,1),1555(a,1,2)),flip(a)]. 3205 ((x \ 1) * (x / y)) \ 1 = ((y \ x) * (x \ y)) \ y. [hyper(230,a,3134,a(flip),b,3204,a),flip(a)]. 3206 L(x,y \ x,x \ y) = ((y \ 1) * (y / x)) \ 1. [hyper(230,a,2311,a(flip),b,3205,a)]. 3207 L(x,y \ x,x \ y) = ((x \ y) * (y \ 1)) \ 1. [para(1053(a,1),3206(a,2,1))]. 3208 (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,(x \ y) \ (x \ (y / x))). [para(679(a,1),3207(a,1,2)),flip(a)]. 3209 T(x,y) * (y * (T(x * y,y) \ (z * y))) = T(x * (y * ((x * y) \ (y * z))),y). [para(2815(a,1),3194(a,1,1,2,2)),flip(a)]. 3210 (T(x,y) * (y * (T(x * y,y) \ (z * y)))) / y = y \ (x * (y * ((x * y) \ (y * z)))). [para(3209(a,2),677(a,1,1))]. 3211 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(952(a,1),1573(a,2,1))]. 3212 K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u. [para(591(a,1),2659(a,1,2,1))]. 3213 K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u. [para(2(a,1),3212(a,1,2)),flip(a)]. 3214 K(x,(y * ((z \ y) / y)) \ T(u,z / y)) = K(x,u / (z \ T(y,z \ 1))). [para(1040(a,1),2738(a,1,2,2,2))]. 3215 (x \ 1) * (L(T((x \ 1) \ 1,x),y,z) * u) = L(x,y,z) * ((x \ 1) * u). [para(69(a,1),3061(a,2,1,1))]. 3216 (x \ 1) * (L(T(x,x),y,z) * u) = L(x,y,z) * ((x \ 1) * u). [para(614(a,1),3215(a,1,2,1,1,1))]. 3217 L(x,y,z) * ((x \ 1) * u) = (x \ 1) * (L(x,y,z) * u). [para(92(a,1),3216(a,1,2,1,1)),flip(a)]. 3218 (x * (y * ((x * y) \ (z * y)))) / y = y \ (x * (y * ((x * y) \ (y * z)))). [para(2590(a,1),3210(a,1,1))]. 3219 x \ (y * (x * ((y * x) \ (x * z)))) = y * L(y \ z,x,y). [hyper(1414,a,3218,a),flip(a)]. 3220 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(72(a,1),3211(a,1,1,2)),flip(a)]. 3221 ((x * K(y,y \ z)) * (z / y)) / 1 = x * ((y * (z / y)) / y). [para(2775(a,1),2011(a,1,2))]. 3222 (x * K(y,y \ z)) * (z / y) = x * ((y * (z / y)) / y). [hyper(140,a,3221,a)]. 3224 (x * y) \ (R(T(z * K(x,z),u),x,y) \ ((x * z) * y)) = K(u,(x * y) \ ((x * z) * y)). [para(22(a,2),2656(a,1,2,1))]. 3225 L(T(x,y) \ L(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * L(((x * y) \ y) \ 1,z,u). [para(2316(a,1),2818(a,2,1))]. 3226 L(T(x,y) \ R(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * R(((x * y) \ y) \ 1,z,u). [para(2316(a,1),2819(a,2,1))]. 3227 (x \ (x / y)) * ((((x / y) \ x) \ 1) \ z) = (z / (y \ 1)) * L(y \ 1,y,x). [para(72(a,1),2913(a,2,1,2,1))]. 3228 (x \ (x / y)) * ((y \ 1) \ z) = (z / (y \ 1)) * L(y \ 1,y,x). [para(72(a,1),3227(a,1,2,1,1))]. 3229 L(x \ 1,x,y) * ((x \ 1) \ z) = (z / (x \ 1)) * L(x \ 1,x,y). [hyper(57,a,2283,a,b,3228,a)]. 3230 x * R((x / y) \ ((x / y) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). [hyper(234,a,2917,a)]. 3232 T(x \ (x / L(y \ L(y,z,u),y,x)),w) = ((x / y) * (y * T(y \ L(y,z,u),w))) \ x. [hyper(230,a,2411,a,b,3059,a)]. 3233 (x * y) * K(z,(x * y) \ ((x * u) * y)) != w | R(T(u * K(x,u),z),x,y) \ ((x * u) * y) = w. [para(3224(a,1),203(a,1,2))]. 3234 L(T(x,y) \ L(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * L((y \ (x \ y)) \ 1,z,u). [para(2316(a,1),3225(a,2,2,1,1))]. 3235 L(T(x,y) \ R(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * R((y \ (x \ y)) \ 1,z,u). [para(2316(a,1),3226(a,2,2,1,1))]. 3236 ((x / y) * (y * T(y \ L(y,z,u),w))) \ x = T(((x / y) * L(y,z,u)) \ x,w). [para(3054(a,1),3232(a,1,1)),flip(a)]. 3237 L(T(x,y) \ L(y \ (x * y),z,u),x,y) = y \ ((x \ y) * L((x \ y) \ y,z,u)). [hyper(230,a,1245,a(flip),b,3234,a),flip(a)]. 3238 L(T(x,y) \ L(y \ (x * y),z,u),x,y) = y \ (L(x,z,u) * (x \ y)). [para(357(a,1),3237(a,2,2))]. 3239 L(T(x,y) \ L(T(x,y),z,u),x,y) = y \ (L(x,z,u) * (x \ y)). [para(17(a,2),3238(a,1,1,2,1))]. 3240 (x * y) \ (y * L(T(x,y),z,u)) = y \ (L(x,z,u) * (x \ y)). [hyper(57,a,2815,a(flip),b,3239,a)]. 3241 (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). [para(189(a,1),3240(a,1,2))]. 3242 x \ (L(y \ 1,y,x) * ((y \ 1) \ x)) = ((y \ 1) * x) \ (y \ x). [para(2331(a,1),3241(a,1,2)),flip(a)]. 3243 x \ (L(y,y \ 1,x) * (y \ x)) = (y * x) \ ((y \ 1) \ x). [para(2334(a,1),3241(a,1,2)),flip(a)]. 3244 (x * y) \ ((x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)). [para(2350(a,1),3243(a,1,2)),flip(a)]. 3245 ((x \ 1) * y) \ (x \ y) = y \ (x \ ((x \ 1) \ y)). [para(2797(a,1),3242(a,1,2)),flip(a)]. 3246 (x \ y) / (y \ (x \ ((x \ 1) \ y))) = (x \ 1) * y. [hyper(160,a,3245,a)]. 3247 (x * y) \ (x \ ((x \ 1) \ (x * y))) = ((x \ 1) * (x * y)) \ y. [para(4(a,1),3245(a,1,2)),flip(a)]. 3248 (x * y) \ (x \ ((x \ 1) \ (x * y))) = L(y,x,x \ 1) \ y. [para(836(a,1),3247(a,2,1))]. 3249 (x * y) \ (x \ ((x \ 1) \ (x * y))) = a(x,x \ 1,y). [hyper(230,a,1181,a(flip),b,3248,a),flip(a)]. 3250 (x * y) \ (x \ ((x \ 1) \ (x * y))) != z | a(x,x \ 1,y) = z. [para(3248(a,2),1195(a,1))]. 3251 (x * y) \ (x \ (x * ((x \ 1) \ y))) = a(x,x \ 1,y). [para(1152(a,1),3249(a,1,2,2))]. 3252 (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y). [para(4(a,1),3251(a,1,2))]. 3253 (x * y) * a(x,x \ 1,y) = (x \ 1) \ y. [hyper(110,a,3252,a)]. 3254 x \ (y \ ((y \ 1) \ x)) = a(y,y \ 1,x). [hyper(57,a,3244,a(flip),b,3252,a)]. 3256 (x \ ((x \ 1) \ y)) / a(x,x \ 1,y) = y. [hyper(160,a,3254,a)]. 3257 ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). [hyper(57,a,3245,a,b,3254,a)]. 3258 a(x,x \ 1,x * y) = a(x,x \ 1,y). [hyper(57,a,3249,a(flip),b,3254,a),flip(a)]. 3259 (x \ y) / a(x,x \ 1,y) = (x \ 1) * y. [para(3254(a,1),3246(a,1,2))]. 3260 a(x,x \ 1,x \ y) = a(x,x \ 1,y). [para(5(a,1),3258(a,1,3)),flip(a)]. 3261 a(1 / x,(1 / x) \ 1,y) = a(1 / x,x,(1 / x) \ y). [para(72(a,1),3260(a,1,2)),flip(a)]. 3262 a(x,x \ 1,y) \ (x \ ((x \ 1) \ y)) = y. [hyper(3037,a,3256,a)]. 3263 a(x,x \ 1,y) \ (x \ y) = (x \ 1) * y. [hyper(3037,a,3259,a)]. 3264 (x \ ((x \ 1) \ y)) / y != z | a(x,x \ 1,y) = z. [para(3262(a,1),237(a,1,2))]. 3265 a(x \ 1,x,(1 / x) \ y) = a(1 / x,(1 / x) \ 1,y). [hyper(230,a,1543,a(flip),b,3261,a)]. 3266 a(x \ 1,x,(x \ 1) \ y) = a(1 / x,(1 / x) \ 1,y). [para(613(a,1),3265(a,1,3,1))]. 3267 a(1 / x,(1 / x) \ 1,y) = a(x,x \ 1,(x \ 1) \ y). [hyper(1196,a,3266,a),flip(a)]. 3268 a(x \ 1,(1 / x) \ 1,y) = a(x,x \ 1,(x \ 1) \ y). [hyper(57,a,1543,a(flip),b,3267,a)]. 3269 a(x,x \ 1,(x \ 1) \ y) = a(x \ 1,x,y). [para(72(a,1),3268(a,1,2)),flip(a)]. 3270 a(x,x \ 1,(x \ 1) \ y) = a(x,x \ 1,y). [hyper(230,a,1180,a(flip),b,3269,a),flip(a)]. 3271 a(x,x \ 1,(x \ 1) \ y) != z | a(x,x \ 1,y) = z. [para(3269(a,2),1196(a,1))]. 3272 a(x,x \ 1,(x \ 1) * y) = a(x,x \ 1,y). [para(4(a,1),3270(a,1,3)),flip(a)]. 3273 a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,((x \ 1) \ 1) * ((y * ((x \ 1) \ 1)) \ z)). [para(1215(a,1),3270(a,1,3)),flip(a)]. 3274 a(x,x \ 1,x * y) != z | a(x,x \ 1,y) = z. [para(3254(a,1),3250(a,1))]. 3275 L(T(x,y) \ R(y \ (x * y),z,u),x,y) = y \ ((x \ y) * R((x \ y) \ y,z,u)). [hyper(230,a,1242,a(flip),b,3235,a),flip(a)]. 3276 L(T(x,y) \ R(y \ (x * y),z,u),x,y) = y \ (R(x,z,u) * (x \ y)). [para(362(a,1),3275(a,2,2))]. 3277 L(T(x,y) \ R(T(x,y),z,u),x,y) = y \ (R(x,z,u) * (x \ y)). [para(17(a,2),3276(a,1,1,2,1))]. 3278 (x * y) \ (y * R(T(x,y),z,u)) = y \ (R(x,z,u) * (x \ y)). [hyper(57,a,2815,a(flip),b,3277,a)]. 3279 (x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)). [para(190(a,1),3278(a,1,2))]. 3280 (x * y) \ (R(x,z,u) * y) != y \ w | R(x,z,u) * (x \ y) = w. [para(3279(a,2),41(a,1))]. 3281 (x * (L(y,z,u) \ y)) \ (K(x,y) * (y * (x * (L(y,z,u) \ 1)))) = a(x,y,L(y,z,u) \ 1). [para(1176(a,1),2122(a,1,2,2))]. 3282 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = ((y \ z) * K(y,x)) * y. [para(3091(a,1),2186(a,2,1))]. 3283 L(L(x,y,z \ u),(z \ u) * y,K(z,u)) = ((u / z) * y) \ ((u / z) * (y * x)). [para(2443(a,1),2448(a,1,2)),flip(a)]. 3284 L(L(x,y,z \ u),(z \ u) * y,K(z,u)) = L(x,y,u / z). [hyper(230,a,13,a,b,3283,a),flip(a)]. 3285 L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(z,y \ z)) = L(x,y,(y \ z) / z). [para(2890(a,1),3284(a,1,2))]. 3286 L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(y,z)) = L(x,y,(y \ z) / z). [para(1719(a,1),3285(a,1,3))]. 3287 L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(y,z)) = L(x,y,z \ (z / y)). [para(718(a,1),3286(a,2,3))]. 3288 K(x,y * (T(z,T((u / w) \ 1,u)) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). [para(1845(a,2),2882(a,1,2,2,1,2))]. 3289 (x * (L(y,z,u) \ y)) \ (y * (K(x,y) * (x * (L(y,z,u) \ 1)))) = a(x,y,L(y,z,u) \ 1). [para(2208(a,1),3281(a,1,2))]. 3290 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ z) * T(y,x). [hyper(230,a,2475,a(flip),b,3282,a),flip(a)]. 3291 (K(x,y) * ((((x * y) / x) \ z) * y)) * (((x * y) / x) \ y) = (y \ z) * T(y,x). [para(2396(a,1),3290(a,1,1))]. 3292 (K(x,y) * ((((x * y) / x) \ z) * y)) * K(y,x) = (y \ z) * T(y,x). [para(2170(a,2),3291(a,1,2))]. 3293 T((((x * y) / x) \ z) * y,K(y,x)) = (y \ z) * T(y,x). [hyper(2157,a,3292,a)]. 3294 (x * (L(y,z,u) \ y)) \ (y * (T(x,y) * (L(y,z,u) \ 1))) = a(x,y,L(y,z,u) \ 1). [para(1778(a,1),3289(a,1,2,2))]. 3295 (x * (L(y,z,u) \ y)) \ (y * T(x * (L(y,z,u) \ 1),y)) = a(x,y,L(y,z,u) \ 1). [para(1530(a,2),3294(a,1,2,2))]. 3296 (x * (L(y,z,u) \ y)) \ ((x * (L(y,z,u) \ 1)) * y) = a(x,y,L(y,z,u) \ 1). [para(93(a,1),3295(a,1,2))]. 3297 a(x,L(y,z,u) \ 1,y) = a(x,y,L(y,z,u) \ 1). [hyper(866,a,3296,a)]. 3298 K(x \ 1,x) * ((y * (K(x \ 1,x) * (z * u))) \ ((y * z) * u)) = a(y,z,K(x \ 1,x) * u). [hyper(57,a,2765,a(flip),b,2746,a)]. 3299 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). [para(2064(a,1),2862(a,2,2))]. 3300 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). [para(4(a,1),3299(a,2,2,2))]. 3301 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). [para(2233(a,1),3300(a,2,2))]. 3302 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(230,a,1878,a,b,3301,a),flip(a)]. 3303 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(2111,a,3302,a)]. 3304 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(4(a,1),3303(a,1,2))]. 3305 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(57,a,1817,a(flip),b,3304,a)]. 3306 a(x,y * K(z \ 1,z),u) = a(x,y,K(z \ 1,z) * u). [hyper(57,a,2683,a(flip),b,2945,a)]. 3307 a(x,K(y \ 1,y) * z,u) = a(x,z,K(y \ 1,y) * u). [para(671(a,2),3306(a,1,2))]. 3308 (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)). [para(2382(a,1),3208(a,2,3))]. 3309 (L(x \ 1,x,y) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)). [para(2382(a,1),3308(a,1,1,1))]. 3310 K(x \ 1,x) * ((y * (z * u)) \ ((w * (1 / w)) * ((y * z) * u))) = a(y,z,K(x \ 1,x) * u). [para(2747(a,1),3298(a,1,2))]. 3311 a(x,y,K(z \ 1,z) * u) = (x * (y * u)) \ ((x * y) * u). [hyper(57,a,2764,a(flip),b,3310,a),flip(a)]. 3314 a(x,y,K(z \ 1,z) * u) = a(x,y,u). [hyper(230,a,9,a,b,3311,a),flip(a)]. 3315 a(x,y,K(z \ 1,z) * u) != w | a(x,y,u) = w. [para(3311(a,2),376(a,1))]. 3316 a(x,K(y \ 1,y) * z,u) = a(x,z,u). [hyper(57,a,3307,a,b,3314,a)]. 3317 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(2358(a,1),3314(a,1,3)),flip(a)]. 3319 a(x,1 / y,z) = a(x,y \ 1,z). [para(2132(a,1),3316(a,1,2)),flip(a)]. 3321 T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * R(T(x,x * u),y,z). [para(614(a,1),2910(a,1,2,1,1)),flip(a)]. 3322 T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * R(T(x,u),y,z). [para(606(a,1),3321(a,2,2,1))]. 3323 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * L(T(x,x * u),y,z). [para(614(a,1),2912(a,1,2,1,1)),flip(a)]. 3324 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * L(T(x,u),y,z). [para(606(a,1),3323(a,2,2,1))]. 3325 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(72(a,1),3220(a,2,2,2,1,1,2))]. 3326 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(72(a,1),3325(a,1,2))]. 3327 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(57,a,1507,a(flip),b,2188,a),flip(a)]. 3329 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(683(a,1),3327(a,1,1,2,1,2))]. 3330 L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). [para(2382(a,1),2428(a,1,2,1,1))]. 3331 K(x,y) \ K((z / y) * K(x,y),K(x,y) \ 1) = R(z / y,K(x,y),K(y,x)) / (z / T(y,x)). [para(1782(a,1),2780(a,1,1,3)),flip(a)]. 3332 (x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x) = L(x \ L(x,y,z),x,u) \ L(x,y,z). [para(145(a,1),3051(a,2,2))]. 3333 K(x,T(((y * z) \ y) * (y * z),K(y * z,z \ 1)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(1782(a,1),2762(a,1,2,1,2))]. 3334 K(x,T(((y * z) \ y) * (y * z),K(z,y * z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(1696(a,1),3333(a,1,2,1,2))]. 3335 (x * ((x * K(y / (z / u),z)) / x)) \ T(x,(y / (((z \ (y * u)) * z) / u)) \ 1) = K(z,y / (z / u)). [para(2166(a,1),2937(a,1,1,2,1))]. 3336 L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y). [para(2382(a,1),2877(a,2,1,2))]. 3337 L(x \ y,x,(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y). [para(679(a,1),3336(a,1,2))]. 3338 (x * L(x \ 1,x,y)) \ (x \ y) = L(x \ y,x,L(x \ 1,x,y)). [para(2382(a,1),3337(a,1,3)),flip(a)]. 3339 K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),K(y \ x,z) \ u). [para(2096(a,1),3184(a,2,2,1))]. 3340 K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),K(z,y \ x) * u). [para(2129(a,1),3339(a,2,2))]. 3341 ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / y. [para(5(a,1),3160(a,2,2))]. 3342 ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = a(x,x \ 1,y). [hyper(3264,a,3341,a(flip)),flip(a)]. 3343 ((x \ 1) \ y) \ (((x \ 1) \ (y / (x \ 1))) * L(x \ 1,x,y)) = a(x,x \ 1,y). [para(707(a,1),3342(a,1,2,1))]. 3344 a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,x * ((y * ((x \ 1) \ 1)) \ z)). [para(614(a,1),3273(a,2,3,1))]. 3345 a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,x * ((y * x) \ z)). [para(614(a,1),3344(a,2,3,2,1,2))]. 3346 a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,(y * x) \ z). [hyper(230,a,3258,a(flip),b,3345,a),flip(a)]. 3347 a(x,x \ 1,L((x \ 1) * (y \ z),x,y)) = a(x,x \ 1,(y * x) \ z). [para(614(a,1),3346(a,1,3,2))]. 3348 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(13(a,2),1328(a,1,2,2,2))]. 3349 T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * z). [para(683(a,1),3348(a,1,2,2)),flip(a)]. 3350 T(a(x,y,z),(x * y) \ (x * (y * z))) = a(x,y,z). [hyper(230,a,9,a,b,3349,a),flip(a)]. 3351 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [para(13(a,2),3350(a,1,2))]. 3352 T(L(x,y,z),a(z,y,x)) = L(x,y,z). [hyper(48,a,3351,a)]. 3353 T(x,a(y,z,x)) = x. [hyper(116,a,3352,a)]. 3354 T(a(x,y,z),z) = a(x,y,z). [hyper(48,a,3353,a)]. 3356 a(x,y,z) * z = z * a(x,y,z). [para(3353(a,1),93(a,1,2))]. 3357 a(x,y,z) / z = z \ a(x,y,z). [para(3353(a,1),697(a,1,2))]. 3358 (x * a(y,z,x)) \ (a(y,z,x) * u) = L(x \ u,x,a(y,z,x)). [para(3353(a,1),2815(a,1,1,1)),flip(a)]. 3359 T(x,y) != a(z,u,y) | a(z,u,y) = x. [para(3354(a,1),43(a,1)),flip(a)]. 3360 a(x,y,z) \ (z \ a(x,y,z)) = L(z \ 1,z,a(x,y,z)). [para(3357(a,1),2279(a,2,2)),flip(a)]. 3361 (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(2129(a,1),2972(a,1,1))]. 3362 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(89(a,1),1241(a,1,1,1,2,2)),flip(a)]. 3363 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(230,a,426,a(flip),b,3362,a),flip(a)]. 3364 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(230,a,1494,a(flip),b,3363,a),flip(a)]. 3365 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(426(a,1),3364(a,1,1))]. 3366 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(1603(a,1),3365(a,1,1))]. 3367 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(1900(a,1),3366(a,2,1))]. 3368 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(29,a,89,a,b,3367,a)]. 3369 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(57,a,1868,a(flip),b,3368,a),flip(a)]. 3370 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(614(a,1),3368(a,1,1,2)),flip(a)]. 3371 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(2025(a,1),3368(a,1,1)),flip(a)]. 3372 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(26(a,1),3369(a,1,2,1))]. 3373 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(2110,a,3371,a),flip(a)]. 3374 R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. [para(3371(a,1),2110(a,1))]. 3375 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),3373(a,2,2,1))]. 3376 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(7(a,1),3373(a,2,2,2))]. 3377 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(69(a,1),3373(a,1,1,2)),flip(a)]. 3378 K(x,(x * y) / z) = K(x,x / (z / y)). [hyper(57,a,1868,a(flip),b,3376,a),flip(a)]. 3379 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(230,a,1685,a(flip),b,3378,a),flip(a)]. 3380 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(3378(a,2),1970(a,1))]. 3381 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1353(a,1),3379(a,1,2)),flip(a)]. 3382 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(87(a,2),3377(a,1,2))]. 3383 R(K(x,y),z,y) = K(x,y). [hyper(1887,a,3382,a),flip(a)]. 3384 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),3382(a,1,2,2)),flip(a)]. 3385 (x * y) / ((K(z,y) \ x) * y) = K(z,y). [hyper(57,a,87,a(flip),b,3383,a)]. 3386 K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. [para(3384(a,1),89(a,1,1))]. 3387 (((x * y) / ((K(z,y) \ x) * y)) * (K(z,y) \ x)) \ (x * y) = L(y,K(z,y) \ x,K(z,y)). [para(3385(a,1),86(a,1,3)),flip(a)]. 3388 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(321(a,1),3372(a,1,2,1)),flip(a)]. 3389 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(2680,a,3375,a)]. 3390 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(57,a,2967,a(flip),b,3375,a)]. 3391 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(710(a,1),3381(a,1,2,1))]. 3392 K(x,R(y,x,z)) = K(x,y). [hyper(29,a,1695,a(flip),b,3386,a),flip(a)]. 3393 (K(x,y) * (y * z)) * u != w * ((y * z) * u) | K(x,R(y,z,u)) = w. [para(3386(a,1),38(a,1))]. 3394 T(x,R(y,x,z)) = x * K(x,y). [para(3392(a,1),1592(a,2,2))]. 3395 T(x,R(y,x,z)) = T(x,y). [hyper(230,a,1592,a,b,3394,a),flip(a)]. 3396 T(x,(y * z) / (x * z)) = T(x,y / x). [para(90(a,1),3395(a,1,2))]. 3397 T(x,(y * z) / (x * z)) = T(x,x \ y). [hyper(230,a,765,a(flip),b,3396,a),flip(a)]. 3398 T(x,y / (x * z)) = T(x,x \ (y / z)). [para(7(a,1),3397(a,1,2,1))]. 3399 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u). [para(89(a,1),3397(a,1,2,2))]. 3400 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(3326(a,1),3390(a,1,1))]. 3401 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(2966,a,3400,a)]. 3402 K(x,y / ((z * x) * u)) != w | K(x,y / ((z * u) * x)) = w. [para(3400(a,1),2966(a,1))]. 3403 K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). [hyper(230,a,2035,a(flip),b,3401,a),flip(a)]. 3404 K(x,y / ((z * y) * x)) != u | K(x,1 / (z * x)) = u. [para(3401(a,2),2037(a,1))]. 3405 K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). [para(7(a,1),3403(a,1,2,2,1)),flip(a)]. 3406 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(230,a,2025,a(flip),b,3388,a),flip(a)]. 3407 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(57,a,3371,a(flip),b,3406,a)]. 3408 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(1685(a,1),3407(a,1,1))]. 3409 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(57,a,22,a,b,3399,a)]. 3410 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(230,a,22,a,b,3409,a),flip(a)]. 3411 (K(x,y) * (K(x,y) \ z)) \ (z * y) = L(y,K(x,y) \ z,K(x,y)). [para(3385(a,1),3387(a,1,1,1))]. 3412 L(x,K(y,x) \ z,K(y,x)) = z \ (z * x). [hyper(57,a,129,a(flip),b,3411,a),flip(a)]. 3415 L(x,K(y,x) \ z,K(y,x)) = x. [hyper(230,a,4,a(flip),b,3412,a),flip(a)]. 3416 L(x,y,K(z,x)) = x. [hyper(2831,a,3415,a)]. 3418 L(x,y,T(z,L(x,y,z))) = L(x,y,z). [hyper(3001,a,3416,a)]. 3420 L(x,y,K(z,L(x,u,w))) = x. [hyper(118,a,3416,a)]. 3421 L(x,y,K(x,z)) = x. [hyper(57,a,2598,a(flip),b,3416,a)]. 3422 (K(x,y) * z) / y = K(x,y) * (z / y). [para(3416(a,1),326(a,1,2))]. 3423 (R(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,R(x,K(y,z),u * z)). [para(3416(a,1),537(a,2,1))]. 3424 L(x * y,z,K(x,y)) = x * y. [para(1647(a,1),3416(a,1,3))]. 3425 L(K(x,y),z,K(u,x)) = K(x,y). [para(3416(a,1),2788(a,1,1)),flip(a)]. 3426 (K(x,y) * z) * x = K(x,y) * (z * x). [para(3421(a,1),81(a,1,2))]. 3427 (K(x,y) * z) / x = K(x,y) * (z / x). [para(3421(a,1),326(a,1,2))]. 3428 L(x,y,T(z,L(L(x,y,z),u,w))) = L(x,y,z). [hyper(3001,a,3420,a)]. 3429 L(x,y,T(z,x)) = L(x,y,z). [para(3113(a,1),3418(a,1,3))]. 3430 L(x,y,L(T(z,x),u,w)) = L(x,y,L(z,u,w)). [para(20(a,2),3429(a,1,3))]. 3431 L(x,y,z / x) = L(x,y,x \ z). [para(95(a,1),3429(a,1,3)),flip(a)]. 3432 L(x,y,L(z / x,u,w)) = L(x,y,L(x \ z,u,w)). [para(197(a,1),3429(a,1,3)),flip(a)]. 3433 L(x,y,R(z / x,u,w)) = L(x,y,R(x \ z,u,w)). [para(198(a,1),3429(a,1,3)),flip(a)]. 3434 L(x,y,(x * z) \ ((x * u) * z)) = L(x,y,R(T(u,x * z),x,z)). [para(489(a,1),3429(a,1,3)),flip(a)]. 3435 L(x,y,z * x) = L(x,y,x * z). [para(589(a,1),3429(a,1,3))]. 3437 K(x,R(y,z,x)) = K(x,y). [hyper(3393,a,3426,a)]. 3439 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(230,a,1776,a(flip),b,3426,a),flip(a)]. 3440 x * T(K(x,y) * z,x) = K(x,y) * (z * x). [hyper(217,a,3426,a)]. 3441 K(x,y) * ((T(x,y) \ z) * x) = (x \ z) * x. [para(1819(a,1),3426(a,1,1)),flip(a)]. 3442 K(x,(y / x) / z) = K(x,y / (z * x)). [para(225(a,1),3437(a,1,2)),flip(a)]. 3443 K(x,(y * x) / z) = K(x,y / (z / x)). [para(319(a,1),3437(a,1,2))]. 3444 R(K(x,y),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(3437(a,1),2777(a,1,1))]. 3445 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(1819(a,1),3439(a,1,1)),flip(a)]. 3446 L(x,y,T(z,L(x,u,w))) = L(x,y,z). [para(3115(a,1),3428(a,1,3))]. 3448 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(28,a,1919,a,b,3440,a),flip(a)]. 3449 T(K(x,y) * ((y * x) * (y \ z)),x) = x \ ((x * y) * (y \ (z * x))). [hyper(230,a,2721,a(flip),b,3448,a),flip(a)]. 3450 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(230,a,2594,a(flip),b,3448,a),flip(a)]. 3451 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(5(a,1),3448(a,1,1)),flip(a)]. 3452 T(K(x,y) * (x / z),x) = K(x,y) * (z \ x). [para(695(a,1),3448(a,2,2))]. 3453 K(x,y) * T(x * z,x) = T(T(x,y) * z,x). [para(1778(a,1),3448(a,1,1)),flip(a)]. 3454 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(1974(a,2),3448(a,2,2))]. 3455 T(K(x,y) \ z,x) = K(y,x) * T(z,x). [hyper(2140,a,3451,a),flip(a)]. 3456 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(388,a,3451,a),flip(a)]. 3457 K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x. [para(3451(a,1),1939(a,1,1,2)),flip(a)]. 3458 K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)). [para(3451(a,1),2108(a,1,2,2)),flip(a)]. 3459 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(2129(a,1),3455(a,1,1))]. 3460 K(x,y) * T(z,T(x,y)) = T(z,x) * K(x,y). [hyper(2733,a,3456,a)]. 3461 T(T(x,y) * K(z,x),z) = T(x,T(y,z)). [hyper(230,a,2399,a(flip),b,3456,a),flip(a)]. 3462 T(K(x,y) * K(z,u),z) = K(x,T(y,z)) * K(z,u). [para(1974(a,2),3456(a,2,1))]. 3463 T(x * K(y,L(x,z,u)),y) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). [para(3456(a,2),3195(a,1,1))]. 3464 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(230,a,2194,a,b,3459,a),flip(a)]. 3465 T(K((x \ y) \ y,z) * u,z) = K(x,T(z,y)) * T(u,z). [para(2239(a,1),3459(a,2,1))]. 3466 (x \ y) * T(K(x,x \ y) * z,x \ y) = (y / x) * T(z,x \ y). [para(3459(a,2),1905(a,1,2))]. 3467 T(x,y) * T(z,x) = z * T(x,T(y,z)). [para(3461(a,1),2481(a,1,2)),flip(a)]. 3468 T(K(x,y) * (x * (y \ (x \ y))),y) = a(y \ (x \ y),x,y). [hyper(230,a,2897,a(flip),b,3464,a),flip(a)]. 3469 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(1969,a,3467,a)]. 3470 K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). [para(2001(a,1),3469(a,2,2,2))]. 3471 K(T(x,y) \ z,x) = z \ ((x \ z) * x). [para(3445(a,1),2096(a,1,2)),flip(a)]. 3472 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(230,a,80,a(flip),b,3471,a),flip(a)]. 3473 K(x \ (T(x,y) * z),x) = K(z,x). [hyper(57,a,1738,a(flip),b,3472,a),flip(a)]. 3474 K(T(x,y) * z,x) = K(z,x). [hyper(2053,a,3473,a)]. 3475 K(K(x,y) * z,x) = K(z,x). [para(1773(a,1),3473(a,1,1))]. 3476 K(x * y,T(x,z)) = K(y,T(x,z)). [para(739(a,1),3474(a,1,1,1))]. 3477 K(K(x,y) * z,y) = K(z,y). [para(1696(a,1),3475(a,1,1,1))]. 3478 K(K(x,y \ 1) * z,y) = K(z,y). [para(1696(a,2),3475(a,1,1,1))]. 3479 K((x * y) * z,y) = K((y * x) * z,y). [para(2117(a,1),3475(a,1,1)),flip(a)]. 3480 K(T(x,y) \ z,y) = K(x \ z,y). [para(2134(a,1),3475(a,1,1))]. 3481 K(T(x,y) * z,y) = K(x * z,y). [para(2135(a,1),3475(a,1,1)),flip(a)]. 3482 K(x \ T(y,z),z) = K(x \ y,z). [para(2353(a,1),3475(a,1,1)),flip(a)]. 3483 K(x * K(y,z),z) = K(x,z). [para(2254(a,1),3477(a,1,1))]. 3484 K(x * T(y,z),z) = K(x * y,z). [para(2018(a,1),3477(a,1,1))]. 3485 K(x * K(y,z),y) = K(x,y). [para(1698(a,1),3483(a,1,1,2))]. 3486 K(x * K(y \ 1,z),y) = K(x,y). [para(1698(a,2),3483(a,1,1,2))]. 3487 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(2039(a,2),3483(a,1,1,2))]. 3488 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(3485(a,1),2187(a,1,1,1,2)),flip(a)]. 3489 a(x,y,x) = K(z * u,T(z,w)) * K(z,T(u,w)). [para(3476(a,2),2378(a,2,1))]. 3490 (K(x,y \ 1) * z) * K(z,y) = T(K(x,y \ 1) * z,y). [para(3478(a,1),1592(a,2,2)),flip(a)]. 3491 K((x / y) \ z,x) = K((y \ x) \ z,x). [para(695(a,1),3480(a,1,1,1)),flip(a)]. 3492 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(17(a,1),3482(a,1,1,2))]. 3493 K(x \ (y * z),z) = K(x \ (z * y),z). [para(589(a,1),3482(a,1,1,2))]. 3494 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(649(a,1),3482(a,1,1,2))]. 3495 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(2081(a,1),3484(a,1,1)),flip(a)]. 3496 K(x * K(y \ 1,z),y) = y / T(y,x). [hyper(230,a,1587,a(flip),b,3486,a),flip(a)]. 3497 a(x,y,x) = K(z,z \ (u \ (z * w))) * K(u \ (w * z),z). [para(3493(a,2),2269(a,2,2))]. 3498 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(1599,a,3496,a)]. 3499 T(x,y * K(z,x)) = T(x,y). [para(1698(a,1),3498(a,1,2,2))]. 3500 T(x,y * K(x,z)) = T(x,y). [para(1697(a,1),3498(a,1,2,2))]. 3501 T(x,K(x,y) * z) = T(x,z). [para(2179(a,1),3499(a,1,2)),flip(a)]. 3502 T(x,K(y,x) * z) = T(x,z). [para(2224(a,1),3499(a,1,2))]. 3503 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(2488(a,1),3499(a,1,2))]. 3505 T(x,y * (z / x)) = T(x,y * (x \ z)). [para(2739(a,1),3499(a,1,2)),flip(a)]. 3506 K(x,T(y,z * K(x,u))) = K(T(x,z),y). [para(3500(a,1),2226(a,1,1)),flip(a)]. 3507 T(x,T(y,x) \ z) = T(x,y \ z). [para(2190(a,1),3500(a,1,2))]. 3508 T(x,K(x,y) * z) = x * K(x,z). [hyper(230,a,1592,a(flip),b,3501,a),flip(a)]. 3509 T(x,K(y,x) \ z) = T(x,z). [para(2129(a,2),3501(a,1,2))]. 3510 T(x,(x / y) * z) = T(x,(y \ x) * z). [para(2445(a,1),3501(a,1,2)),flip(a)]. 3511 T(T(x,y),K(z,x) * u) = T(T(x,u),y). [para(3502(a,1),18(a,1,1)),flip(a)]. 3512 T(T(x,y),K(z,x) * u) = T(T(x,y),u). [para(2236(a,1),3502(a,1,2,1))]. 3513 K(x,K(x,y) * z) = K(x,z). [hyper(1633,a,3508,a)]. 3514 T(x,K(x,y) * z) != u | T(x,z) = u. [para(3508(a,2),1607(a,1))]. 3515 K(x,K(y,x) * z) = K(x,z). [para(1696(a,1),3513(a,1,2,1))]. 3516 K(x,T(x,y) \ z) = K(x,x \ z). [para(1819(a,1),3513(a,1,2)),flip(a)]. 3517 K(x,(y * x) * z) = K(x,(x * y) * z). [para(2117(a,1),3513(a,1,2)),flip(a)]. 3518 K(x,T(y,x) \ z) = K(x,y \ z). [para(2134(a,1),3513(a,1,2))]. 3519 K(x,T(y,x) * z) = K(x,y * z). [para(2135(a,1),3513(a,1,2)),flip(a)]. 3520 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(2498(a,1),3513(a,1,2)),flip(a)]. 3521 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(2197(a,1),3513(a,1,2))]. 3522 K(x,y \ T(z,x)) = K(x,y \ z). [para(2353(a,1),3513(a,1,2)),flip(a)]. 3523 K(x,y * (K(z,x) * u)) = K(x,y * u). [para(2919(a,1),3513(a,1,2)),flip(a)]. 3524 K(x,y * K(z,x)) = K(x,y). [para(2254(a,1),3515(a,1,2))]. 3525 K(x,T(y,x) / z) = K(x,y / z). [para(2861(a,1),3515(a,1,2))]. 3526 K(x,y * K(x,z)) = K(x,y). [para(1698(a,1),3524(a,1,2,2))]. 3527 K(x \ y,z * K(y \ x,u)) = K(x \ y,z). [para(2039(a,2),3524(a,1,2,2))]. 3528 K(x,y / T(z,x)) = K(x,y / z). [para(2471(a,1),3524(a,1,2)),flip(a)]. 3529 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(2488(a,1),3524(a,1,2))]. 3530 K(x,y / (z * x)) = K(x,y / (x * z)). [para(2625(a,1),3524(a,1,2)),flip(a)]. 3531 K(x,y / (x * (z / x))) = K(x,y / z). [para(2626(a,1),3524(a,1,2))]. 3532 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(2947(a,1),3526(a,1,2)),flip(a)]. 3533 K(x,T(x,y) \ z) = K(x,z). [hyper(230,a,1597,a(flip),b,3516,a),flip(a)]. 3534 K(x,T(x,y) / z) = K(z,x). [hyper(57,a,2048,a(flip),b,3533,a),flip(a)]. 3535 K(x / T(y,z),y) = K(x,y). [hyper(2029,a,3534,a)]. 3536 K(x * T(y,z),y) = K(x,y). [para(6(a,1),3535(a,1,1)),flip(a)]. 3537 ((x * T(y,z)) \ y) * K(x,y) = y / (x * T(y,z)). [para(3536(a,1),1809(a,1,2))]. 3538 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(693(a,1),3518(a,1,2,1))]. 3539 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(1027(a,1),3518(a,1,2,1)),flip(a)]. 3540 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(1029(a,1),3518(a,1,2,1))]. 3541 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(57,a,1951,a(flip),b,3522,a)]. 3542 K(x,y \ (x \ (z * x))) = K(x,y \ z). [para(17(a,1),3522(a,1,2,2))]. 3543 K(x,(y / x) / z) = K(x,(x \ y) / z). [para(95(a,1),3525(a,1,2,1)),flip(a)]. 3544 K(x,y / ((x \ z) * x)) = K(x,y / z). [para(649(a,1),3528(a,1,2,2))]. 3548 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [hyper(230,a,2226,a(flip),b,3506,a),flip(a)]. 3549 (x * y) / T(T(x,y),z) = K(z,x) * y. [para(3511(a,1),2207(a,1,2))]. 3550 T(T(x,y),T(z,x) / u) = T(T(x,y),z / u). [para(2861(a,1),3512(a,1,2))]. 3551 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(230,a,3109,a(flip),b,3521,a),flip(a)]. 3552 K(x,(x * y) \ z) != u | K(x,y \ z) = u. [para(3521(a,1),3175(a,1))]. 3553 K(T(x,y),z * (T(x,T(u,y)) \ w)) = K(T(x,y),z * (x \ w)). [para(2247(a,1),3523(a,1,2,2))]. 3554 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(57,a,3443,a,b,3529,a)]. 3555 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(57,a,3401,a(flip),b,3530,a)]. 3556 K(T(x,y),K(z,x) * u) = K(x,T(u,y)). [hyper(2260,a,3532,a)]. 3557 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(1698(a,1),3532(a,1,2,1,1))]. 3558 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(230,a,3110,a,b,3541,a)]. 3559 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(57,a,3442,a(flip),b,3543,a),flip(a)]. 3560 K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))). [para(2740(a,1),3548(a,1,2,2))]. 3561 (K(x,y) * z) \ (y * z) = T(T(y,z),x). [hyper(153,a,3549,a)]. 3563 (K(x,y) * z) * K(u,T(T(y,z),x)) = (y * z) / T(T(T(y,z),x),u). [para(3549(a,1),2487(a,1,1))]. 3565 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(57,a,2865,a,b,3551,a)]. 3566 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(57,a,3171,a(flip),b,3551,a),flip(a)]. 3567 K(T(x,y),T(x,z) \ u) = K(x,T(x \ u,y)). [para(2134(a,1),3556(a,1,2))]. 3568 K(x,(x \ y) / (x \ z)) = K(x,y / z). [hyper(230,a,3544,a(flip),b,3559,a),flip(a)]. 3569 K(T(x,y),T(x,y) \ (z \ u)) = K(x,T(z \ (T(x,y) \ u),y)). [hyper(2416,a,3566,a),flip(a)]. 3570 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [hyper(57,a,3121,a(flip),b,3566,a),flip(a)]. 3571 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(4(a,1),3566(a,1,2,2)),flip(a)]. 3572 x / K(y,y \ (z \ u)) = x * K(z \ (y \ u),y). [para(3566(a,1),2166(a,1,2))]. 3573 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(4(a,1),3568(a,1,2,1)),flip(a)]. 3574 K(x,y \ (x * z)) = K(x,y \ z). [hyper(1752,a,3571,a)]. 3575 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(230,a,1647,a,b,3574,a),flip(a)]. 3576 K(x,y \ (z * x)) = K(x,y \ z). [hyper(57,a,3541,a,b,3574,a)]. 3577 K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. [para(3574(a,2),1769(a,1))]. 3578 K(x,y \ (z * x)) = K(z \ y,x). [hyper(230,a,2039,a,b,3576,a),flip(a)]. 3579 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(230,a,1647,a,b,3576,a),flip(a)]. 3580 K(x,x \ (y * x)) != z | K(x,y) = z. [para(3576(a,2),1752(a,1))]. 3581 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [hyper(230,a,1719,a,b,3578,a)]. 3582 K(x,y \ (z * x)) != u | K(x,y \ z) = u. [para(3578(a,2),2043(a,1))]. 3584 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(3380,a,3573,a),flip(a)]. 3585 K(x,x * (y \ 1)) = K(x,y \ x). [para(3(a,1),3575(a,1,2,2)),flip(a)]. 3586 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1382(a,1),3579(a,1,2))]. 3587 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(57,a,3391,a(flip),b,3581,a),flip(a)]. 3588 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(4(a,1),3581(a,1,2,1)),flip(a)]. 3589 K(x,(y * z) \ (z * x)) = K(x,T(y,z) \ x). [para(17(a,2),3581(a,1,2,1)),flip(a)]. 3590 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(57,a,3554,a,b,3584,a)]. 3591 K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(T(x,x \ y),z / T(x \ y,x)). [para(819(a,1),3584(a,1,2,2)),flip(a)]. 3592 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(3584(a,1),3389(a,1,1))]. 3593 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(3588(a,1),1592(a,2,2))]. 3594 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [hyper(1967,a,3453,a),flip(a)]. 3595 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [hyper(1965,a,3453,a),flip(a)]. 3596 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [hyper(57,a,2997,a(flip),b,3453,a),flip(a)]. 3597 T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y). [hyper(57,a,2996,a(flip),b,3453,a),flip(a)]. 3598 T(T(x,y) * z,x) = K(x,y) * (z * x). [para(589(a,1),3453(a,1,2)),flip(a)]. 3599 K(x \ K(x,y),y) * (z * (x \ K(x,y))) = T((x \ 1) * z,x \ K(x,y)). [para(1942(a,1),3598(a,1,1,1)),flip(a)]. 3600 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(270,a,3460,a),flip(a)]. 3601 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(191,a,3460,a)]. 3602 T(T(x,K(y,z)),T(z,y)) = T(x,z). [hyper(28,a,1793,a(flip),b,3460,a),flip(a)]. 3604 T(x \ (x / y),T(x,z)) = T(x \ (y \ x),K(x,z)). [hyper(57,a,757,a(flip),b,3600,a),flip(a)]. 3606 L(x,T(y,K(z,u)),z) = L(x,T(y,T(z,u)),z). [para(3600(a,1),2813(a,1,2)),flip(a)]. 3607 (T(x,K(y,z)) * y) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,K(y,z)),y). [para(3600(a,1),2820(a,2,2,2,1)),flip(a)]. 3608 T(T(x,y / z),K(y / z,y)) = T(x,z \ y). [hyper(230,a,1060,a(flip),b,3601,a),flip(a)]. 3609 T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). [hyper(57,a,2376,a,b,3601,a)]. 3610 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(2739(a,1),3487(a,1,1)),flip(a)]. 3611 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(2739(a,1),3527(a,1,2)),flip(a)]. 3612 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(230,a,1592,a,b,3593,a),flip(a)]. 3613 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(5(a,1),3612(a,1,2,1)),flip(a)]. 3614 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(3613(a,1),2076(a,1,2))]. 3615 T(x * y,K(y,z)) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,K(y,z)),y). [hyper(230,a,2613,a,b,3606,a)]. 3616 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(5(a,1),3614(a,1,2,2,2))]. 3617 K(x,T(x * y,z)) = K(x,T(y,z)). [hyper(2427,a,3489,a)]. 3618 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [hyper(2090,a,3617,a)]. 3619 K(x * y,T(R(T(z,x * y),x,y),u)) = K(x * y,T((z * x) * y,u)). [para(359(a,1),3617(a,1,2,1)),flip(a)]. 3620 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [para(5(a,1),3618(a,1,2,2,1)),flip(a)]. 3621 K(x,T(x \ (y * z),y)) = K(x,x \ (z * y)). [hyper(230,a,1951,a(flip),b,3620,a),flip(a)]. 3622 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(3620(a,2),1592(a,2,2)),flip(a)]. 3623 T(x,x \ T(y,z)) != u | T(x,T(x \ y,z)) = u. [para(3622(a,1),1607(a,1))]. 3624 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(230,a,1914,a(flip),b,3457,a),flip(a)]. 3625 K(x / (K(y,z) * u),z) = K(x / u,z). [para(2223(a,1),3624(a,1,1,2)),flip(a)]. 3626 K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w). [para(3625(a,1),2131(a,1,2,1)),flip(a)]. 3627 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(230,a,2096,a(flip),b,3458,a),flip(a)]. 3628 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(1696(a,1),3627(a,1,1,1,2))]. 3629 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(2223(a,1),3627(a,1,1,1)),flip(a)]. 3630 K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). [para(2740(a,1),3627(a,1,1,1))]. 3631 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(3628(a,1),2160(a,1,1,2)),flip(a)]. 3632 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(83(a,2),3629(a,1,1))]. 3633 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(57,a,3028,a(flip),b,3565,a)]. 3634 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [hyper(33,a,2160,a,b,3565,a)]. 3635 x * K(y \ (z \ u),z) = x * K(z \ (y \ u),z). [hyper(2169,a,3572,a),flip(a)]. 3636 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(3610(a,2),2860(a,2,2))]. 3637 K(x,y / (K(z,x) * u)) = K(x,y / u). [hyper(230,a,2131,a(flip),b,3626,a),flip(a)]. 3638 K(x,y / (K(z,x) * u)) != w | K(x,y / u) = w. [para(3626(a,2),1783(a,1))]. 3639 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(2117(a,1),3637(a,1,2,2))]. 3641 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(230,a,2160,a(flip),b,3631,a),flip(a)]. 3642 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(2224(a,1),3641(a,1,2,1))]. 3643 K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u). [para(2615(a,1),3641(a,1,2,1))]. 3644 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(2700(a,1),3641(a,1,2,1,2))]. 3645 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(2739(a,1),3641(a,1,2,1)),flip(a)]. 3646 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(81(a,1),3644(a,1,2,1))]. 3647 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(28,a,2867,a,b,3634,a)]. 3648 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(230,a,3492,a(flip),b,3647,a),flip(a)]. 3649 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(57,a,3555,a(flip),b,3639,a),flip(a)]. 3650 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(5(a,1),3639(a,2,2,2,1))]. 3651 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(57,a,3633,a(flip),b,3643,a),flip(a)]. 3652 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(2179(a,1),3646(a,1,2,1,2)),flip(a)]. 3653 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(3649(a,1),1592(a,2,2)),flip(a)]. 3654 K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)). [hyper(3402,a,3650,a)]. 3655 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(62(a,1),3651(a,1,2,1)),flip(a)]. 3656 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(57,a,3540,a,b,3655,a)]. 3657 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(7(a,1),3655(a,1,2,1)),flip(a)]. 3658 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(57,a,3122,a(flip),b,3656,a)]. 3660 T(K((x \ y) \ y,x \ y) * z,(x \ y) \ y) = x \ (z * ((x \ y) \ y)). [para(69(a,1),3450(a,2,1))]. 3661 T(K(x,T(y,z)) * u,y) = K(x,T(y,z)) * T(u,y). [para(2239(a,1),3465(a,1,1,1))]. 3662 T(K(x,T(y,z)) * (y \ z),y) = T(T(y,y \ z),x) \ z. [hyper(230,a,2916,a(flip),b,3661,a),flip(a)]. 3663 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(2519,a,3490,a),flip(a)]. 3664 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1382(a,1),3587(a,1,2)),flip(a)]. 3665 T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))). [hyper(1607,a,3653,a),flip(a)]. 3666 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(230,a,3398,a(flip),b,3665,a),flip(a)]. 3667 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(3666(a,1),3410(a,1,1))]. 3668 T(T(x,T(y,z)) \ z,x) = T(T(x,x \ z),y) \ z. [para(2247(a,1),3662(a,1,1))]. 3669 T(T(x,y) * (y \ (x \ y)),y) = a(y \ (x \ y),x,y). [para(1778(a,1),3468(a,1,1))]. 3670 T(x * (y \ (y / x)),y) = a(y \ (x \ y),x,y). [para(2885(a,1),3669(a,1,1))]. 3671 T(x * (y \ (y / x)),y) = a(x,y \ (x \ y),y). [hyper(230,a,3079,a(flip),b,3670,a),flip(a)]. 3672 a(x,y \ (x \ y),y) = x * (y \ (y / x)). [hyper(3359,a,3671,a)]. 3673 a(x,y,x) = K(z,u \ w) * K(u \ (w * z),z). [para(3571(a,1),3497(a,2,1))]. 3674 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(2270,a,3673,a),flip(a)]. 3675 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(57,a,2787,a,b,3674,a)]. 3676 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(57,a,3648,a(flip),b,3674,a),flip(a)]. 3677 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(57,a,3494,a(flip),b,3674,a),flip(a)]. 3678 K(x \ (y * z),y) = K(y * (x \ z),y). [hyper(57,a,3493,a(flip),b,3674,a)]. 3679 K(x * (y \ 1),x) = K(y \ x,x). [para(2(a,1),3674(a,1,1,2)),flip(a)]. 3680 K((x / y) \ z,z) = K(y / x,z) * a(u,w,u). [hyper(57,a,2023,a(flip),b,3679,a),flip(a)]. 3681 K(x,K(y \ 1,z) * u) = K(x,K(y \ z,z) * u). [para(3679(a,1),1958(a,1,2,1)),flip(a)]. 3682 K(x * K(y \ (z \ u),z),w) = K(x * K(y \ u,z),w). [para(3677(a,1),1948(a,1,1,2)),flip(a)]. 3683 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(230,a,1691,a,b,3680,a),flip(a)]. 3684 a(x,y,x) = K(z,u / w) * K((w / u) \ z,z). [hyper(2140,a,3680,a(flip)),flip(a)]. 3686 a(x,y,x) != K(z,u / w) * v5 | K((w / u) \ z,z) = v5. [para(3684(a,2),37(a,1))]. 3687 K(x,K(y \ 1,z) * u) = K(x,K(z,y) * u). [para(1730(a,1),3681(a,2,2,1))]. 3688 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [para(614(a,1),3687(a,1,2,1,1)),flip(a)]. 3689 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(57,a,2596,a(flip),b,3495,a)]. 3690 K(T(x,y),z * (T(x,u) \ w)) = K(T(x,y),z * (x \ w)). [para(181(a,1),3553(a,1,2,2,1,2))]. 3691 K(x,T(y * (T(x,z) \ u),w)) = K(T(x,w),y * (x \ u)). [hyper(2416,a,3690,a)]. 3692 K(x,T(y * (T(x,z) \ u),w)) != v5 | K(x,T(y * (x \ u),w)) = v5. [para(3691(a,2),2416(a,1))]. 3693 K(x,T(y \ (T(x,z) \ u),z)) = K(x,T(x \ (y \ u),z)). [hyper(57,a,3567,a(flip),b,3569,a),flip(a)]. 3695 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(230,a,1817,a(flip),b,3689,a),flip(a)]. 3696 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(230,a,2187,a(flip),b,3488,a),flip(a)]. 3697 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(1696(a,1),3696(a,1,2,2))]. 3698 x \ ((x * y) * (y \ (z * x))) = T((x * y) * (y \ z),x). [para(2117(a,1),3449(a,1,1)),flip(a)]. 3699 (K(x,x \ y) * z) * (x \ y) = (y / x) * T(z,x \ y). [hyper(216,a,3466,a)]. 3700 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(230,a,1486,a(flip),b,3594,a),flip(a)]. 3701 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),3700(a,1,1,2,1)),flip(a)]. 3702 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(230,a,1482,a(flip),b,3595,a),flip(a)]. 3704 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(33,a,3607,a,b,3615,a),flip(a)]. 3705 T(x,K(1 / x,y)) = x. [hyper(903,a,3704,a),flip(a)]. 3706 K(x,T(y,z)) * (y * x) = T(x,K(y,z)) * y. [hyper(57,a,2755,a,b,3704,a)]. 3707 T(x,K(1 / R(x,y,z),u)) = x. [hyper(119,a,3705,a)]. 3708 T(x,K(1 / R(x,y,z),u)) * w = x * w. [hyper(51,a,3707,a)]. 3709 T(K(x,y),z) * (y * x) = T(x,K(y,z)) * y. [para(1974(a,1),3706(a,1,1))]. 3710 K(x,K(y,z)) * (x * y) = T(K(x,y),z) * (y * x). [hyper(230,a,1778,a,b,3709,a)]. 3711 K(K(x,y),z) = K(x,K(y,z)). [hyper(29,a,1837,a,b,3710,a)]. 3712 K(x \ y,K(z,u)) = K(z,K(u,y \ x)). [hyper(2063,a,3711,a)]. 3713 K(x,K(y,z)) = K(z,K(y,x)). [hyper(1791,a,3711,a)]. 3714 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(1768,a,3711,a)]. 3715 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(3711(a,1),1791(a,1))]. 3716 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(3711(a,1),1977(a,1,2))]. 3717 K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. [para(3711(a,1),2275(a,1,1))]. 3718 T(x * T(K(y,z),u),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(3711(a,1),2496(a,2,1))]. 3719 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(3711(a,1),2415(a,1,2))]. 3720 (x * K(y,T(z,u))) * K(z,y) = x * K(y,K(z,u)). [para(3711(a,1),2725(a,2,2))]. 3721 T(x,y) * K(K(x,y),z) = T(x,T(y,z)). [para(3711(a,2),3609(a,1,2))]. 3722 K(x * y,K(x,z)) = K(z,K(x,y)). [hyper(230,a,2588,a,b,3713,a)]. 3723 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(230,a,2344,a,b,3713,a)]. 3724 K(x,K(y,y \ z)) = K(z,K(y,x)). [hyper(230,a,2342,a,b,3713,a)]. 3725 K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). [hyper(230,a,2133,a,b,3713,a)]. 3726 K(x,K(y \ z,u)) = K(u,K(x,z \ y)). [hyper(230,a,2388,a(flip),b,3713,a),flip(a)]. 3727 K(x \ 1,K(y,z)) = K(z,K(x,y)). [hyper(230,a,2387,a(flip),b,3713,a),flip(a)]. 3728 K(x,K(y,z)) * z = T(z,K(y,x)). [para(3713(a,1),1610(a,2,1)),flip(a)]. 3730 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(3713(a,1),2365(a,1,1))]. 3731 (x * y) * K(z,K(u,y)) = x * T(y,K(u,z)). [para(3713(a,1),2472(a,1,2))]. 3732 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(3713(a,1),2697(a,1,1))]. 3733 K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). [para(3513(a,2),3713(a,1,2))]. 3734 K(x,K(y,T(y,z) \ u)) = K(u,K(y,x)). [para(3533(a,2),3713(a,1,2))]. 3735 K(K(x,y),z) = K(y,K(z,x)). [hyper(1751,a,3727,a)]. 3736 K(x,K(y,z)) = K(z,K(x,y)). [hyper(57,a,3714,a(flip),b,3727,a),flip(a)]. 3738 K(x,K(y,z)) = K(y,K(x,z)). [hyper(1791,a,3735,a)]. 3739 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(3735(a,1),1791(a,1))]. 3740 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(3735(a,1),1977(a,1,2))]. 3741 K(x,K(y,z)) * (y \ u) = T(y,K(z,x)) \ u. [para(3735(a,1),2134(a,1,1))]. 3742 K(x,K(y,z)) * u != w | K(y,K(z,x)) * w = u. [para(3735(a,1),2140(a,1,1))]. 3743 K(x,K(y,z)) * (y \ u) != w | T(y,K(z,x)) \ u = w. [para(3735(a,1),2275(a,1,1))]. 3745 K(K(x,y),z) = K(z,K(x,y)). [hyper(230,a,3735,a,b,3736,a)]. 3746 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(230,a,2133,a,b,3736,a)]. 3747 K(K(x,y),z) = K(y,K(x,z)). [hyper(230,a,1790,a,b,3736,a)]. 3748 K(x,K(x \ y,z)) = K(y,K(x,z)). [hyper(230,a,3724,a(flip),b,3736,a),flip(a)]. 3749 K(x,K(y \ x,z)) = K(x,K(y,z)). [hyper(230,a,3723,a(flip),b,3736,a),flip(a)]. 3750 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(230,a,3714,a(flip),b,3736,a),flip(a)]. 3751 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(230,a,2589,a(flip),b,3736,a),flip(a)]. 3752 x \ T(x,K(y,z)) = K(y,K(z,x)). [hyper(230,a,1589,a(flip),b,3736,a)]. 3753 K(x,K(y,z)) = K(x,K(z,y)). [hyper(57,a,3713,a,b,3736,a)]. 3754 x * K(y,K(z,x)) = T(x,K(y,z)). [para(3736(a,2),1592(a,2,2)),flip(a)]. 3755 K(x,K(y,z)) * y = T(y,K(z,x)). [para(3736(a,1),1610(a,2,1)),flip(a)]. 3756 K(x,K(y,z)) * z = T(z,K(x,y)). [para(3736(a,2),1610(a,2,1)),flip(a)]. 3757 K(x,K(y,x * z)) = K(y,K(z,x)). [para(1689(a,1),3736(a,1,2)),flip(a)]. 3759 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(3736(a,2),1778(a,1,1))]. 3760 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(3736(a,2),1824(a,1,1))]. 3761 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(3736(a,1),1997(a,1,2))]. 3762 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(3736(a,1),2365(a,1,1))]. 3763 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(3736(a,2),2472(a,1,2))]. 3764 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(3736(a,2),2512(a,1,1,2))]. 3765 K(x,K(y,z)) * u != w | K(z,K(y,x)) * w = u. [para(3736(a,2),2271(a,1,1))]. 3766 K(x,K(y,z * y)) = K(y,K(x,z)). [hyper(230,a,2343,a,b,3738,a)]. 3767 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(230,a,3723,a(flip),b,3738,a),flip(a)]. 3768 K(x,K(y,z * x)) = K(y,K(x,z)). [hyper(230,a,2343,a(flip),b,3738,a),flip(a)]. 3769 x * K(y,K(z,u)) = x * K(z,K(y,u)). [hyper(52,a,3738,a)]. 3770 x * K(y,K(x,z)) = T(x,K(y,z)). [para(3738(a,1),1592(a,2,2)),flip(a)]. 3771 K(x,K(y,z)) * y = T(y,K(x,z)). [para(3738(a,1),1610(a,2,1)),flip(a)]. 3772 (x * K(y,z)) / x = K(y,z) * K(y,K(x,z)). [para(3738(a,1),1593(a,2,2))]. 3775 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(3738(a,1),2472(a,1,2))]. 3777 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(3513(a,1),3738(a,1,2)),flip(a)]. 3778 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(99,a,3745,a,b,2124,a),flip(a)]. 3779 x * K(K(y,z),x) = T(x,K(y,z)). [para(3745(a,2),1592(a,2,2)),flip(a)]. 3780 K(x \ 1,K(y,z)) != u | K(x,K(y,z)) = u. [para(3745(a,1),1892(a,1))]. 3781 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(3745(a,1),1791(a,1))]. 3782 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(3745(a,1),1977(a,1,2))]. 3783 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(3745(a,1),2129(a,1,1))]. 3784 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(3745(a,1),2274(a,1,1))]. 3786 K(K(x,y) * z,z) = K(y,K(x,z)). [hyper(2582,a,3747,a)]. 3787 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(3747(a,1),1791(a,1))]. 3788 K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). [hyper(230,a,2133,a,b,3753,a)]. 3789 K(x,K(y,z)) != u | K(K(y,z),x) = u. [para(3753(a,1),1894(a,1))]. 3790 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(2020(a,1),3753(a,1,2))]. 3791 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(230,a,3738,a,b,3748,a),flip(a)]. 3792 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(72(a,1),3750(a,1,2,2)),flip(a)]. 3793 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(3751(a,1),1610(a,2,1))]. 3795 x \ T(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(3754(a,1),241(a,1,2))]. 3796 T(x,K(y,z)) = T(x,K(z,y)). [hyper(57,a,3728,a(flip),b,3756,a)]. 3797 T(x,K(y,z)) * z = x * T(z,K(x,y)). [para(3756(a,1),1596(a,1,2)),flip(a)]. 3798 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(2272,a,3796,a)]. 3799 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(2146,a,3796,a)]. 3800 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(1926,a,3796,a),flip(a)]. 3801 (K(x,y) * z) / K(x,y) = T(z,K(x,y)). [hyper(1925,a,3796,a)]. 3802 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [hyper(1924,a,3796,a)]. 3803 T(T(x,K(y,z)),K(y,z)) = x. [hyper(1923,a,3796,a),flip(a)]. 3804 T(K(x,y) / z,K(y,x)) = z \ K(x,y). [hyper(1657,a,3796,a),flip(a)]. 3805 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(738,a,3796,a),flip(a)]. 3806 T(x,x * K(y,z)) = T(x,K(z,y)). [hyper(729,a,3796,a)]. 3807 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(230,a,3601,a(flip),b,3796,a),flip(a)]. 3808 T(x,K(y,z)) * u = T(x,K(z,y)) * u. [hyper(51,a,3796,a)]. 3809 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(3796(a,1),93(a,1,2))]. 3810 T(x,K(y,y \ z)) = T(x,K(z,y)). [para(1597(a,2),3796(a,1,2))]. 3811 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(1696(a,2),3796(a,1,2))]. 3812 T(x,K(y,z * y)) = T(x,K(z,y)). [para(1727(a,2),3796(a,1,2))]. 3813 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(3796(a,1),3602(a,1,1))]. 3814 T(x * y,K(y,z)) = T(x,K(z,y)) * y. [para(3796(a,1),3704(a,2,1))]. 3815 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(403,a,3803,a)]. 3816 T(T(x * K(y,z),u),K(y,z)) = T(K(y,z) * x,u). [hyper(34,a,650,a,b,3803,a),flip(a)]. 3817 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(3803(a,1),1923(a,1,1))]. 3818 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(230,a,3713,a,b,3757,a),flip(a)]. 3819 K(x,K(y * x,z)) = K(x,K(z,y)). [hyper(57,a,3736,a,b,3766,a)]. 3820 K((x * y) * z,K(u,R(T(x,y * z),y,z))) = K((x * y) * z,K(y * z,u)). [para(438(a,1),3767(a,1,2,2))]. 3821 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(3779(a,1),2949(a,1,2))]. 3822 T(T(x,K(y,z)),K(x * K(z,y),u)) = T(x,T(x * K(z,y),u)). [para(3806(a,1),3601(a,1,1))]. 3823 T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). [hyper(57,a,1875,a(flip),b,3807,a)]. 3824 T(T(x,(y \ z) \ 1),K(u,z \ y)) = T(x,T((y \ z) \ 1,u)). [para(2047(a,1),3807(a,1,2))]. 3825 T(x,K(y,z \ (y \ u))) = T(x,K(z \ u,y)). [para(3566(a,2),3810(a,1,2))]. 3826 T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(3811(a,1),2549(a,1,1))]. 3827 K(x,T(((y * z) \ y) * (y * z),K(y,z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(3812(a,1),3334(a,1,2,1))]. 3828 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [hyper(57,a,196,a(flip),b,3813,a)]. 3829 (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). [para(3818(a,1),3754(a,1,2))]. 3831 K(x,K(y,z \ y)) != u | K(y,K(z,x)) = u. [para(1719(a,2),3715(a,1,2))]. 3832 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(1790(a,2),3715(a,1))]. 3834 K(x,y) * K(y,T(x,z)) != u | K(y,K(x,z)) = u. [para(2133(a,2),3715(a,1))]. 3837 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(3753(a,1),3715(a,1))]. 3842 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(2020(a,1),3781(a,1,2))]. 3843 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(2039(a,1),3781(a,1,2))]. 3844 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(2235(a,2),3781(a,1,2))]. 3847 T(x,K(y,y \ z)) != u | T(x,K(z,y)) = u. [para(1597(a,2),3817(a,1,2))]. 3849 K(x \ y,K(z,u)) != w | K(u,K(y \ x,z)) = w. [para(3712(a,2),3837(a,1))]. 3850 K(x,y) \ K(x,T(y,z)) = K(x,K(y,z)). [hyper(101,a,3716,a)]. 3851 K(x,y) \ K(x,T(y,z)) != u | K(x,K(y,z)) = u. [para(3716(a,1),241(a,1,2))]. 3853 K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). [para(3733(a,1),3728(a,1,1))]. 3854 K(x,K(y,T(x,z) \ u)) = K(u,K(x,y)). [hyper(3739,a,3734,a)]. 3855 K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). [para(3740(a,1),2506(a,1,1))]. 3856 K(x,K(y,z)) * K(x,z) = T(K(x,z),y). [hyper(230,a,1974,a(flip),b,3762,a),flip(a)]. 3858 R(x / (y / K(z,K(u,w))),y / K(z,K(u,w)),K(z,K(u,w))) = (x * K(u,K(z,w))) / y. [para(3769(a,1),319(a,2,1))]. 3859 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(230,a,3738,a,b,3777,a),flip(a)]. 3860 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(1725,a,3782,a)]. 3861 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(1674,a,3782,a)]. 3862 T(K(x,T(y,z)),z) = K(x,y). [para(3782(a,1),1594(a,1,1))]. 3863 K(x,T(y,z)) * z = z * K(x,y). [para(3782(a,1),1643(a,1,1))]. 3864 ((x * K(y,z)) * u) / (x * u) = R(K(y,T(z,x)),x,u). [para(3782(a,1),1668(a,1,1)),flip(a)]. 3865 K(x,T(T(y,z),z)) = K(x,y). [hyper(2414,a,3862,a)]. 3866 K(T(x,y),T(z,y)) = K(x,z). [hyper(2325,a,3862,a)]. 3867 K(x,T(y \ z,z)) = K(x,z / y). [hyper(1985,a,3862,a),flip(a)]. 3868 K(x \ y,T(z,y)) = K(y / x,z). [hyper(57,a,2106,a(flip),b,3862,a)]. 3869 (x * K(y,z)) / x != u | K(y,T(z,x)) = u. [para(3862(a,1),238(a,1,1,2))]. 3870 x \ K(y,T(z,x)) = K(y,z) / x. [para(3862(a,1),677(a,1,1)),flip(a)]. 3871 T(K(T(x,y),z),y) = K(x,z). [para(2226(a,2),3862(a,1,1))]. 3872 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(3862(a,1),2251(a,1,1)),flip(a)]. 3873 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(57,a,2232,a,b,3865,a)]. 3874 K(x,T(y * z,z)) = K(x,z * y). [hyper(57,a,2439,a(flip),b,3865,a)]. 3875 K((x * y) / x,z) = K(y,T(z,x)). [hyper(57,a,2236,a(flip),b,3865,a),flip(a)]. 3876 K(x \ y,T(z,x)) = K(y / x,z). [hyper(57,a,2235,a(flip),b,3865,a)]. 3877 K(x * y,T(z,y)) = K(y * x,z). [hyper(57,a,2229,a(flip),b,3865,a)]. 3878 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [para(20(a,2),3865(a,1,2,1))]. 3879 K(x,T(y \ z,y)) = K(x,z / y). [para(95(a,1),3865(a,1,2,1))]. 3880 K(x,(y * z) / y) = K(x,T(z,y)). [para(181(a,1),3865(a,1,2,1)),flip(a)]. 3881 K(x,y * (z / y)) = K(x,T(z,y)). [para(646(a,1),3865(a,1,2,1)),flip(a)]. 3882 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(1025(a,1),3865(a,1,2,1))]. 3883 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [para(1029(a,1),3865(a,1,2,1))]. 3884 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(1030(a,1),3865(a,1,2,1))]. 3885 K(x,y * K(z,y)) = K(x,T(y,z)). [para(1594(a,1),3865(a,1,2,1)),flip(a)]. 3887 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(2066(a,1),3865(a,1,2,1))]. 3888 K(T(x,y),z) * (y * K(z,x)) = y. [para(3865(a,1),2128(a,1,2,2))]. 3889 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(20(a,2),3866(a,1,2))]. 3890 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(22(a,2),3866(a,1,2))]. 3891 K(T(x,y),y \ z) = K(x,z / y). [para(95(a,1),3866(a,1,2))]. 3892 K(x * (y / x),z) = K(y,T(z,x)). [para(646(a,1),3866(a,1,1)),flip(a)]. 3893 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(832(a,1),3866(a,1,1)),flip(a)]. 3894 K(x * K(y,x),z) = K(x,T(z,y)). [para(1594(a,1),3866(a,1,1)),flip(a)]. 3895 K(K(x,y) * y,z) = K(y,T(z,x)). [para(1677(a,1),3866(a,1,1)),flip(a)]. 3896 L(x,T(y,z),K(y,u)) != w | x = w. [para(3866(a,1),1627(a,1,3))]. 3897 K(T(x,y),z) * y = y * K(x,z). [para(3866(a,1),1979(a,1,2)),flip(a)]. 3898 K(x,T(y,z)) * (z * K(y,x)) = z. [para(3866(a,1),2128(a,1,2,2))]. 3899 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(3866(a,1),2790(a,1,1))]. 3900 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(3866(a,1),2946(a,1,1))]. 3901 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(3866(a,1),3384(a,1,1))]. 3902 K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). [para(3866(a,1),3475(a,1,1,1))]. 3903 T(K(x \ y,z),y) = K(y / x,z). [para(695(a,1),3871(a,1,1,1))]. 3904 K(x,y \ z) * y = y * K(x,z / y). [para(95(a,1),3863(a,1,1,2))]. 3905 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(3863(a,1),1596(a,1,2)),flip(a)]. 3906 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(1982(a,1),3863(a,1,1))]. 3907 K(x,T(T(y,z),u)) * (K(w,y) * z) = (K(w,y) * z) * K(x,T(y,u)). [para(3511(a,1),3863(a,1,1,2))]. 3908 K(x,y / (y / z)) = K(x,T(z,y)). [para(72(a,1),3867(a,1,2,1)),flip(a)]. 3910 K(x \ (y * z),T(z,y)) = K((y * z) / x,z). [hyper(57,a,1862,a(flip),b,3868,a)]. 3911 K(x \ y,T(T(z,y),u)) = K(y / x,T(z,u)). [para(18(a,1),3868(a,1,2))]. 3912 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [para(606(a,1),3868(a,1,2))]. 3913 K(x \ y,z) * y = y * K(y / x,z). [para(3868(a,1),1979(a,1,2)),flip(a)]. 3914 K(x,T(y,z) * z) = K(x,z * y). [para(652(a,1),3874(a,1,2))]. 3915 K(x,y * z) / z = z \ K(x,z * y). [para(3874(a,1),3870(a,1,2)),flip(a)]. 3916 K(x \ y,T(z,x)) = K(z,x / y). [hyper(230,a,2020,a(flip),b,3876,a),flip(a)]. 3917 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(18(a,1),3876(a,1,2))]. 3918 a(x,y,x) = K(T(z,u),T(z,u) \ (u \ w)) * K(w / u,z). [para(3876(a,1),2269(a,2,2))]. 3919 K(x * (y * z),T(z,y)) = K((y * z) * x,z). [hyper(57,a,1862,a(flip),b,3877,a)]. 3920 K((x * (y / z)) * z,T(u,y)) = K(y * R(x,y / z,z),u). [para(308(a,1),3877(a,1,1))]. 3921 K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). [hyper(2420,a,3879,a)]. 3922 K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x). [hyper(230,a,3590,a(flip),b,3879,a),flip(a)]. 3924 K(x,y / (y * z)) = K(x,y \ (z \ y)). [para(2319(a,1),3879(a,1,2)),flip(a)]. 3925 K(x,L((y \ z) / u,u,y)) = K(x,T((y * u) \ z,u)). [para(421(a,2),3880(a,1,2))]. 3926 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(72(a,1),3882(a,1,2,2)),flip(a)]. 3927 K(x,T(y,z / u)) = K(x,T(y,u / z)). [para(2080(a,1),3882(a,1,2))]. 3928 K(x,T(y,y \ x)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. [para(3885(a,1),2203(a,1,1))]. 3929 K(x * K(y \ x,z),T(u,y)) = K(y * T(x / y,z),u). [para(2099(a,1),3892(a,1,1,2)),flip(a)]. 3930 K(x * K(y,x),z) = K(x,T(T(T(z,u),u),y)). [hyper(57,a,3865,a(flip),b,3894,a)]. 3931 x / T(x,y * K(z,y)) = K(y,T(x,z)). [hyper(57,a,1587,a(flip),b,3894,a)]. 3932 (K(x,y) * T(x,z)) \ (u * K(x,y)) != w | T(x,z) \ T(u,K(x,y)) = w. [para(269(a,1),3896(a,1))]. 3933 x / (x * K(y,z)) = K(z,T(y,x)). [para(3897(a,1),2131(a,1,2))]. 3934 K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). [para(966(a,2),3908(a,1,2))]. 3935 K(x,L(y \ z,u,w) * y) = K(x,y * L(z / y,u,w)). [para(197(a,1),3914(a,1,2,1))]. 3936 K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). [para(3879(a,1),3788(a,1,2))]. 3937 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(230,a,3755,a(flip),b,3793,a),flip(a)]. 3938 T(x,y) * (z * K(y,x)) = x * T(z,K(x,y)). [para(3798(a,1),1596(a,1,2)),flip(a)]. 3939 K(x,y) * ((z * K(y,x)) * x) = T(z,K(x,y)) * x. [para(3798(a,1),3426(a,1,1)),flip(a)]. 3940 T((x * y) * z,K(y,x)) = ((y * x) * z) * K(x,y). [para(2117(a,1),3799(a,1,1)),flip(a)]. 3941 T((x * y) \ z,K(x,y)) = ((y * x) \ z) * K(y,x). [para(2554(a,1),3799(a,1,1)),flip(a)]. 3942 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(3800(a,1),1793(a,1,1,1))]. 3943 (x * K(y,z)) * T(x,K(y,z)) = (K(y,z) * x) * x. [para(3801(a,1),2561(a,1,2))]. 3944 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(3817,a,3814,a)]. 3945 T(x * y,K(y,z)) = x * T(y,K(x,z)). [hyper(230,a,3797,a(flip),b,3814,a),flip(a)]. 3946 T(x,K(y,z)) * z != u | T(x * z,K(y,z)) = u. [para(3814(a,1),3817(a,1))]. 3947 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(3898(a,1),3859(a,1,2,2)),flip(a)]. 3948 K(x,T(T(y,z),z)) * (T(y,z) \ u) = (K(y,x) * T(y,z)) \ u. [para(3872(a,1),2247(a,2,1))]. 3949 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(2429,a,3887,a),flip(a)]. 3950 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(57,a,3616,a,b,3949,a)]. 3951 K(x,T(y,x / z)) = K(x,T(y,z)). [para(72(a,1),3949(a,1,2,2)),flip(a)]. 3952 (x \ y) * K(y,T(z,x)) != u | K(y,z) * (x \ y) = u. [para(3949(a,1),1980(a,1,2))]. 3953 K(T(x,y) * y,z) = K(y * x,z). [hyper(230,a,2229,a(flip),b,3893,a),flip(a)]. 3954 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(1778(a,1),3902(a,1,1))]. 3955 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [para(1819(a,1),3902(a,1,1)),flip(a)]. 3956 (x * K(y,1 / x)) * z = K(y,x \ 1) * (x * z). [para(3904(a,1),1715(a,1,1))]. 3957 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(3905(a,2),3384(a,1,2))]. 3958 T(T(x,y),K(z,y)) * z = x * (z * K(x,y)). [para(3807(a,2),3905(a,1,1))]. 3959 K(x \ (y * z),y) * z = z * K(z / (y \ x),y). [para(3100(a,1),3913(a,1,1))]. 3960 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(230,a,2380,a,b,3924,a)]. 3961 T(x,y * K(z,y)) = T(x,T(y,z)). [hyper(30,a,2230,a,b,3931,a),flip(a)]. 3962 T(x,(y * z) / y) = T(x,T(z,y)). [para(1593(a,2),3961(a,1,2))]. 3963 T(x,T(T(y,z),z)) = T(x,y). [para(1613(a,1),3961(a,1,2)),flip(a)]. 3964 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(1635(a,2),3961(a,1,2))]. 3965 T(x,y * (z / y)) = T(x,T(z,y)). [para(1638(a,1),3961(a,1,2))]. 3966 T(x,T(y \ z,y)) = T(x,z / y). [para(1640(a,1),3961(a,1,2)),flip(a)]. 3967 T(x,T(y * z,z)) = T(x,z * y). [para(589(a,1),3963(a,1,2,1))]. 3968 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(3963(a,1),3469(a,2,2))]. 3969 K(((x * y) / x) / T(z,T(y,x)),u) = K(z \ ((x * y) / x),u). [para(3962(a,1),1816(a,1,1,2))]. 3970 K(x,(((y * z) / y) / T(u,T(z,y))) * w) = K(x,(u \ ((y * z) / y)) * w). [para(3962(a,1),2457(a,1,2,1,2))]. 3971 T(x,T(y,T(z,u)) / (u * (z / u))) = T(x,(u * (z / u)) \ y). [para(3965(a,1),1069(a,1,2,1))]. 3972 R(T(x / y,T(z,y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)). [para(3965(a,1),2645(a,1,1))]. 3973 T(x,T((x * y) \ z,y)) = T(x,z / (x * y)). [hyper(57,a,2379,a(flip),b,3966,a)]. 3974 T(x,y \ T(z,y)) = T(x,z / y). [para(685(a,1),3966(a,1,2))]. 3975 T(x,T(y,z) * z) = T(x,z * y). [para(652(a,1),3967(a,1,2))]. 3976 T(x * (y * z),K(y,y * z)) = T(x,K(y,z)) * (y * z). [para(1647(a,1),3944(a,2,1,2))]. 3977 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(3947(a,1),3756(a,1,1))]. 3978 K(x,T(1 / y,z)) = K(x,z / (z * y)). [hyper(1888,a,3960,a)]. 3979 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(2452,a,3978,a),flip(a)]. 3981 K(x,K(y,z \ x)) != u | K(x,K(z,y)) = u. [para(3738(a,1),3831(a,1))]. 3983 (K(x,K(y,z)) * ((z * u) * w)) * a(K(x,K(y,z)),z * u,w) = (T(z,K(x,y)) * u) * w. [para(3759(a,1),75(a,2,1))]. 3984 K(x,y) * K(x,K(z,y)) != u | K(x,T(y,z)) = u. [para(3772(a,1),3869(a,1))]. 3985 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(230,a,1068,a(flip),b,3823,a),flip(a)]. 3986 T(x / (y * z),z * y) = T((y * z) \ x,K(y,z)). [para(95(a,1),3985(a,1,1)),flip(a)]. 3987 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(3985(a,1),1923(a,1,1))]. 3988 K(x,K(y \ (x \ z),u)) = u \ T(u,K(y \ z,x)). [para(3825(a,1),3752(a,1,2)),flip(a)]. 3989 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(57,a,3775,a(flip),b,3829,a),flip(a)]. 3990 T(x * y,K(y,z)) = T(x * y,K(x,z)). [hyper(230,a,3945,a,b,3989,a)]. 3991 T(x * (x \ y),K(x \ y,z)) = T(y,K(x,z)). [para(5(a,1),3990(a,2,1))]. 3992 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(2796,a,3873,a)]. 3993 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [para(20(a,2),3878(a,1,2))]. 3994 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [para(850(a,1),3878(a,1,2,1))]. 3995 x * K(y,L(z,u,w)) != v5 | K(y,L(T(z,x),u,w)) * x = v5. [para(3878(a,1),1980(a,1,2))]. 3996 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(230,a,2487,a(flip),b,3906,a),flip(a)]. 3997 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(1974(a,2),3996(a,1,1))]. 3998 x / T(y,T(z,x)) = K(z,y) * (x / y). [para(3871(a,1),3996(a,1,1)),flip(a)]. 3999 K(x \ (y * z),y) * z = z * K((y * z) / x,y). [para(3912(a,1),1979(a,1,2)),flip(a)]. 4000 K(x / T(y,z),T(y,u)) = K(T(y,z) \ x,T(y,u)). [para(143(a,1),3917(a,1,2,1)),flip(a)]. 4001 K(x * ((1 / y) \ z),T(T(z,y),z \ ((1 / y) \ z))) = K(((z \ ((1 / y) \ z)) * T(z,y)) * x,T(z,y)). [para(1075(a,1),3919(a,1,1,2))]. 4002 K(x,T((T(x,y) * y) \ z,(x * y) / x)) = K(x,z / (x * ((x * y) / x))). [para(813(a,2),3921(a,1,2,1,1))]. 4003 K(x,T(T(T(y,z),z),u)) = K(x,T(y,u)). [hyper(57,a,3894,a(flip),b,3930,a),flip(a)]. 4004 K(x,T(T(y * z,y),u)) = K(x,T(T(y,z) * z,u)). [para(832(a,1),4003(a,1,2,1,1))]. 4005 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [hyper(230,a,3989,a,b,3938,a),flip(a)]. 4006 K(x,T(x \ (y * z),z)) = K(x,T(x \ (y * z),y)). [para(4(a,1),3950(a,1,2,2))]. 4007 T(x,T(y \ (x \ z),y)) = T(x,z / (x * y)). [hyper(3118,a,3973,a)]. 4008 T(x,K(y \ x,z)) = T(x,K(y,z)). [para(5(a,1),3991(a,1,1))]. 4009 T(x \ (y * T(y \ x,z)),x) = T(x,K(y,z)) \ (y * T(y \ x,z)). [para(4008(a,1),2109(a,1,1)),flip(a)]. 4010 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(95(a,1),3993(a,1,2,1,1))]. 4011 K(x,L(y * (z / y),u,w)) = K(x,L(T(z,y),u,w)). [para(646(a,1),3993(a,1,2,1,1)),flip(a)]. 4012 K(x,L(T(y \ z,z),u,w)) = K(x,L(z / y,u,w)). [para(695(a,1),3993(a,1,2,1,1))]. 4013 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(57,a,3966,a(flip),b,4007,a)]. 4014 T(x,(x \ y) / z) = T(x,x \ (y / z)). [hyper(230,a,3398,a(flip),b,4013,a),flip(a)]. 4015 K(x * y,x) * K(z,K(x,y)) != u | K(x * y,T(x,z)) = u. [para(3722(a,1),3719(a,1,2))]. 4018 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(3823(a,1),3987(a,1))]. 4019 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(57,a,3866,a(flip),b,3992,a),flip(a)]. 4021 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(1591(a,1),4019(a,1,1,2))]. 4022 T(x * K(y,K(z,u)),K(y,z)) = K(z,y) * (x * K(y,T(z,u))). [para(3720(a,1),1789(a,1,1))]. 4023 K(x,K(y,z)) * (u * K(x,y)) = K(x,T(y,z)) * T(u,K(y,x)). [para(3809(a,1),3732(a,1,2))]. 4024 K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). [para(1974(a,2),3855(a,1,2))]. 4025 K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). [hyper(230,a,3738,a,b,3936,a),flip(a)]. 4026 K(x,y) * (z * (x * K(y,x))) = T(z,K(x,y)) * x. [para(2537(a,1),3939(a,1,2))]. 4027 T((x * y) * z,K(y,x)) = (y * x) * (z * K(x,y)). [hyper(230,a,3105,a(flip),b,3940,a),flip(a)]. 4028 T((x * y) \ z,K(x,y)) = (y * x) \ (z * K(y,x)). [hyper(230,a,3131,a,b,3941,a),flip(a)]. 4029 (x * K(y,x \ 1)) * z = K(y,x \ 1) * (x * z). [para(613(a,1),3956(a,1,1,2,2))]. 4031 K(T((x * y) \ z,K(x,y)) * (y * x),u) = K((y * x) * (z / (x * y)),u). [para(3986(a,1),3953(a,1,1,1))]. 4032 K(x,K(y \ (x \ z),u)) = K(y \ z,K(x,u)). [hyper(230,a,3752,a(flip),b,3988,a),flip(a)]. 4033 K(x,K(y \ (x \ z),u)) != w | K(y \ z,K(x,u)) = w. [para(3988(a,2),3795(a,1))]. 4034 K(x \ (T(y,z) * u),K(y,w)) = K(y,K(x \ (K(y,z) * u),w)). [para(1773(a,1),4032(a,1,2,1,2)),flip(a)]. 4035 K((x * y) / z,x) = K(y / (x \ z),x). [hyper(28,a,3959,a(flip),b,3999,a(flip)),flip(a)]. 4036 K(x / T(y,z),T(y,u)) = K(y \ x,T(y,u)). [hyper(230,a,3955,a(flip),b,4000,a),flip(a)]. 4038 K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). [hyper(57,a,2439,a(flip),b,4004,a),flip(a)]. 4039 K(x,T(x \ (y * z),z)) = K(x,x \ (z * y)). [hyper(230,a,3621,a(flip),b,4006,a),flip(a)]. 4040 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(300(a,2),4010(a,1,2))]. 4041 (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). [hyper(57,a,2879,a(flip),b,4024,a)]. 4042 K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). [hyper(2002,a,4025,a)]. 4043 K(x,y) * (z * ((y * x) / y)) = T(z,K(x,y)) * x. [para(1593(a,2),4026(a,1,2,2))]. 4044 T(x,K(y \ z,y)) * (y \ z) = K(y \ z,y) * (x * (z / y)). [para(1640(a,1),4026(a,1,2,2)),flip(a)]. 4045 K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). [hyper(230,a,2342,a(flip),b,4042,a),flip(a)]. 4046 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(2174,a,4045,a)]. 4047 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [hyper(2271,a,4046,a)]. 4048 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(3736(a,1),4046(a,1,1))]. 4049 K(x,K(y,z \ u)) * K(x,(u \ z) / y) = K(x,y \ (u \ z)). [para(2039(a,1),4047(a,1,1,2))]. 4050 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [para(3753(a,1),4047(a,1,1))]. 4051 K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(y / x,x)) * (y / x). [para(1802(a,1),4043(a,1,1))]. 4052 K(x,(y * z) * (z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(57,a,3883,a(flip),b,3994,a)]. 4053 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(7(a,1),4052(a,1,2,1)),flip(a)]. 4054 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(57,a,3470,a(flip),b,3853,a),flip(a)]. 4055 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). [hyper(3817,a,4054,a)]. 4056 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(3771(a,1),4054(a,1,1)),flip(a)]. 4057 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). [para(3796(a,1),4055(a,2,2))]. 4058 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(230,a,3873,a(flip),b,3899,a),flip(a)]. 4060 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(57,a,2794,a(flip),b,4058,a)]. 4061 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(93(a,1),4058(a,1,2))]. 4062 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(179(a,1),4058(a,1,2)),flip(a)]. 4063 L(K(x,y),K(z,x),u) = K(x,y). [hyper(57,a,4021,a(flip),b,4062,a),flip(a)]. 4064 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(4063(a,1),25(a,1,1)),flip(a)]. 4065 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(4063(a,1),81(a,1,2))]. 4067 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(4063(a,1),290(a,1,2,1))]. 4069 R(x,K(y,z),K(z,u)) = x. [hyper(314,a,4065,a)]. 4070 (x * K(y,z)) / K(u,z) = x / (K(u,z) * K(z,y)). [hyper(57,a,2176,a(flip),b,4069,a),flip(a)]. 4071 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2700(a,1),4069(a,1,2))]. 4072 K(x,y) \ K((z / y) * K(x,y),K(x,y) \ 1) = (z / y) / (z / T(y,x)). [para(4069(a,1),3331(a,2,1))]. 4073 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(4071(a,1),89(a,1,1)),flip(a)]. 4074 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(4071(a,1),324(a,1,1))]. 4075 x / (K(y,z) * K(z,u)) = (x * K(u,z)) * K(z,y). [hyper(2169,a,4070,a),flip(a)]. 4076 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [hyper(230,a,4065,a(flip),b,4075,a),flip(a)]. 4077 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [para(1994(a,2),4076(a,2,2))]. 4078 ((K(x,y) * K(y,z)) * u) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(1644,a,4077,a),flip(a)]. 4079 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [para(1994(a,2),4077(a,1,2))]. 4080 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(230,a,3890,a(flip),b,3901,a),flip(a)]. 4082 ((x * y) * z) / ((T(x,u) * y) * z) = K(u,R(x,y,z)). [hyper(57,a,2205,a(flip),b,4080,a)]. 4083 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(5(a,1),4080(a,1,2)),flip(a)]. 4084 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(1028(a,1),4080(a,1,2))]. 4085 K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5. [para(4083(a,1),2160(a,1,1,2)),flip(a)]. 4087 K(R(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [hyper(30,a,2131,a,b,4082,a)]. 4088 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(105,a,4087,a)]. 4089 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(1835,a,4088,a)]. 4090 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(57,a,3408,a(flip),b,4089,a)]. 4091 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(5(a,1),4089(a,1,2)),flip(a)]. 4092 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(57,a,1735,a(flip),b,4091,a),flip(a)]. 4093 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(4091(a,2),89(a,1,1))]. 4094 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(87(a,1),4091(a,1,1))]. 4095 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(4091(a,1),2160(a,1,1,2)),flip(a)]. 4096 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(4091(a,1),3515(a,1,2,1))]. 4097 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(57,a,3376,a(flip),b,4092,a)]. 4098 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(3384(a,1),4096(a,1,2,1))]. 4099 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(2254(a,1),4098(a,1,2))]. 4100 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(2488(a,1),4099(a,1,2))]. 4101 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(3721(a,1),4099(a,1,2))]. 4102 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(95(a,1),4101(a,1,2,2)),flip(a)]. 4103 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(158(a,1),4094(a,1,1,2)),flip(a)]. 4104 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(57,a,3382,a(flip),b,4095,a),flip(a)]. 4105 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [para(2(a,1),4104(a,1,1))]. 4106 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(4105(a,1),618(a,1,1))]. 4107 (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). [para(1911(a,1),4093(a,1,1,1)),flip(a)]. 4108 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(4093(a,1),3637(a,1,2,2))]. 4109 (K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u). [para(1929(a,1),4107(a,1,1))]. 4110 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(1698(a,1),4108(a,1,2,2,1,1))]. 4111 (K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u. [hyper(230,a,124,a(flip),b,4109,a),flip(a)]. 4112 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(2919(a,1),4110(a,1,2,2,1)),flip(a)]. 4113 K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u. [hyper(57,a,4107,a(flip),b,4111,a)]. 4114 T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u). [hyper(2140,a,4113,a),flip(a)]. 4115 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(2211,a,4114,a)]. 4116 K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. [para(4114(a,1),2211(a,1))]. 4117 K(x,y) * (K(y,z) * (y \ u)) = K(y,z) * (T(y,x) \ u). [para(2134(a,1),4115(a,1,2)),flip(a)]. 4118 T(x * (y * z),K(y,z)) = T(x,K(y,z)) * (y * z). [hyper(57,a,1875,a(flip),b,3976,a)]. 4119 T(T(x,y * z) * (y * z),K(y,z)) = T(x,z * y) * (y * z). [para(3985(a,1),4118(a,2,1))]. 4120 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(3760,a,3977,a),flip(a)]. 4121 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(4120(a,2),2160(a,1,1))]. 4123 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(2167(a,1),4121(a,1,1,1))]. 4124 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(4060(a,1),4121(a,1,1,1,2)),flip(a)]. 4125 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(110,a,4123,a),flip(a)]. 4126 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [para(4125(a,1),3809(a,1,2))]. 4127 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(230,a,4104,a(flip),b,4085,a),flip(a)]. 4128 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [para(1820(a,1),4127(a,1,1,2)),flip(a)]. 4129 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(230,a,4091,a(flip),b,4128,a),flip(a)]. 4130 R(K(x,y),T(z,x),u) = R(K(x,y),z,u). [para(1598(a,1),4129(a,1,2)),flip(a)]. 4131 R(K(x,y),y * (1 / x),z) = K(x,R(y,x \ 1,x)). [hyper(57,a,3444,a(flip),b,4130,a),flip(a)]. 4132 R(K(x,y),y * (x \ 1),z) = K(x,R(y,x \ 1,x)). [para(613(a,1),4131(a,1,2,2))]. 4133 K(x,R(y,x \ 1,z)) = K(x,R(y,x \ 1,x)). [hyper(57,a,3384,a(flip),b,4132,a)]. 4139 K(x,R(y,x \ 1,z)) = K(x,y). [hyper(230,a,3437,a(flip),b,4133,a),flip(a)]. 4142 T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y). [para(4139(a,1),1796(a,1,2)),flip(a)]. 4143 T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y). [hyper(230,a,1796,a(flip),b,4142,a),flip(a)]. 4144 T(x \ 1,R(y,x,z)) = T(x \ 1,y). [para(614(a,1),4143(a,1,2,2))]. 4145 T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)). [para(4144(a,1),1446(a,1,1))]. 4146 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(57,a,4097,a,b,4100,a)]. 4147 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(57,a,2908,a(flip),b,4102,a),flip(a)]. 4149 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(4(a,1),4147(a,1,2,2)),flip(a)]. 4150 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(57,a,3867,a(flip),b,4149,a),flip(a)]. 4151 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [hyper(2425,a,4117,a)]. 4152 a(x,y,x) = K(z,T(z \ (u \ w),u)) * K(w / u,z). [para(3567(a,1),3918(a,2,1))]. 4153 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(2327,a,4152,a),flip(a)]. 4155 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(5(a,1),4090(a,1,2,1,1)),flip(a)]. 4156 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(1936(a,1),4090(a,1,2,1))]. 4157 T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. [para(2201(a,2),4116(a,1))]. 4158 T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). [para(2067(a,1),3824(a,1,1))]. 4159 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [hyper(57,a,3807,a(flip),b,4158,a),flip(a)]. 4160 T(x,T(y \ (y / z),u)) = T(x,T(z \ 1,u)). [para(72(a,1),4159(a,1,2,1,1)),flip(a)]. 4161 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(3942(a,1),3469(a,1,2)),flip(a)]. 4162 (K(x,y) * T(x,z)) \ u = K(y,x) * (T(x,z) \ u). [para(3865(a,1),3948(a,1,1)),flip(a)]. 4163 (K(x,y) * T(x,z)) \ u = K(z,x) * (T(x,y) \ u). [para(1929(a,1),4162(a,1,1))]. 4165 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(1586(a,2),4163(a,2,2))]. 4166 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(3711(a,1),4165(a,2,1))]. 4167 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(3735(a,1),4166(a,2,2))]. 4168 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(57,a,4080,a(flip),b,3957,a),flip(a)]. 4170 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(1979(a,1),4168(a,1,2,2))]. 4171 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(4170(a,1),2160(a,1,1,2)),flip(a)]. 4172 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(230,a,2160,a(flip),b,4171,a),flip(a)]. 4173 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(1696(a,1),4172(a,1,1,2,1))]. 4174 T(K(x,T(y,z)) * u,K(y,x)) = K(x,K(y,z)) * (u * K(x,y)). [hyper(230,a,4057,a,b,4023,a)]. 4175 K(x \ y,x) * (z * (y / x)) = T(z,K(y,x)) * (x \ y). [para(1688(a,1),4044(a,1,1,2)),flip(a)]. 4176 K(x \ y,x) * ((z * K(x,x \ y)) * (y / x)) = (K(x,x \ y) * z) * (x \ y). [para(1789(a,1),4044(a,1,1)),flip(a)]. 4177 K(x \ y,x) * ((x \ y) \ (z * (y / x))) = (x \ y) \ (T(z,K(y,x)) * (x \ y)). [para(4175(a,1),1829(a,1,2)),flip(a)]. 4178 (T(x,K(y,z)) * (z \ y)) * K(z,z \ y) = T(x * (y / z),K(z,z \ y)). [para(4175(a,1),2144(a,1,1))]. 4179 x * K(y,(z \ u) / w) != K(y,w \ (z \ u)) | K(y,K(w,u \ z)) = x. [para(4049(a,1),38(a,1)),flip(a)]. 4180 K(x,T((y * z) * u,K(y,z))) = K(x,T(u,z * y) * (y * z)). [para(4119(a,1),4038(a,1,2)),flip(a)]. 4181 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,T(x,z)) * u,w) * K(x,y). [para(4174(a,1),188(a,1,2,1))]. 4182 (x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * (x \ T(y,x))). [hyper(57,a,2642,a(flip),b,3972,a),flip(a)]. 4183 (x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * T(x \ y,x)). [para(685(a,2),4182(a,2,2,2))]. 4184 (T(x,y) * ((y \ x) / T(x,y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). [para(769(a,1),4183(a,2,1))]. 4185 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(57,a,4091,a(flip),b,4155,a),flip(a)]. 4186 T(x * K(y,T(z,u)),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(1974(a,2),3718(a,1,1,2))]. 4187 T(x \ (y * T(y \ x,z)),x) = K(K(y,z),x) * K(y \ x,z). [hyper(230,a,2204,a(flip),b,4009,a),flip(a)]. 4188 T(x \ (y * T(y \ x,z)),x) = K(y,K(z,x)) * K(y \ x,z). [para(3711(a,1),4187(a,2,1))]. 4189 K(x,K(y,z)) * K(x \ z,y) = T(K(x \ z,y),z). [para(2096(a,1),4188(a,1,1)),flip(a)]. 4190 K(x,K(y,z)) * K(x \ z,y) = K(z / x,y). [hyper(230,a,3903,a(flip),b,4189,a),flip(a)]. 4191 K(x,K(y,z)) * K(y \ z,x) = K(z / y,x). [para(3738(a,1),4190(a,1,1))]. 4192 K(x / y,z) \ K(z,K(y,x)) = K(z,y \ x). [para(4191(a,1),2160(a,1,1))]. 4193 K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). [hyper(2142,a,4192,a)]. 4194 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(2167(a,1),4067(a,1,1)),flip(a)]. 4195 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(3736(a,1),4167(a,1,1,1))]. 4196 (x * K(y,z)) \ (x * R(K(y,u),w,v5)) != v6 | K(z,y) * R(K(y,u),w,v5) = v6. [para(4194(a,1),241(a,1,2))]. 4197 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(4056(a,1),4195(a,1,1))]. 4198 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(3736(a,1),4197(a,2,1))]. 4199 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [hyper(230,a,3769,a,b,4198,a),flip(a)]. 4200 K(x * y,R(T(T(z,x * y),u),x,y)) = K(x * y,T((z * x) * y,u)). [para(22(a,2),3619(a,1,2))]. 4201 K(x,T(y,x)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. [para(670(a,1),3928(a,1,1,2))]. 4202 K(x,y) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. [para(1678(a,1),4201(a,1,1))]. 4203 K(x,y) * (K(y,y \ x) * (y \ z)) = L(y,y \ x,y) \ z. [para(2368(a,1),4202(a,1,2))]. 4204 K(x,x \ y) * (T(x,y) \ z) = L(x,x \ y,x) \ z. [hyper(57,a,4117,a(flip),b,4203,a)]. 4205 K(x,y) * (T(y,z) \ (u * K(y,x))) = T(y,z) \ T(u,K(y,x)). [hyper(3932,a,4162,a),flip(a)]. 4206 K(x,y) * ((T(y,z) \ u) * K(y,x)) = T(y,z) \ T(u,K(y,x)). [para(3093(a,1),4205(a,1,2))]. 4207 T(T(x,y) \ z,K(x,u)) = T(x,y) \ T(z,K(x,u)). [hyper(2153,a,4206,a)]. 4208 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(2185,a,4074,a)]. 4209 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(230,a,2003,a(flip),b,4208,a),flip(a)]. 4210 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(2167(a,1),4209(a,1,2)),flip(a)]. 4211 K(x,K(y,x) \ y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)). [para(2039(a,1),3599(a,1,1))]. 4212 T(K(x,x \ y) * z,(x \ y) \ y) = x \ (z * ((x \ y) \ y)). [para(1747(a,1),3660(a,1,1,1))]. 4213 T(K(x,x \ y) * z,T(x,y)) = x \ (z * ((x \ y) \ y)). [hyper(57,a,1071,a(flip),b,4212,a)]. 4214 K(x,(T(y,z) \ (K(y,y \ z) * u)) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). [para(4213(a,1),1818(a,2,2))]. 4215 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),3701(a,1,1,2,1)),flip(a)]. 4216 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(57,a,3596,a(flip),b,4215,a),flip(a)]. 4217 L(x \ y,z,u) * T(x,x \ y) = T(x * L(x \ y,z,u),y). [para(5(a,1),4216(a,1,2)),flip(a)]. 4218 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [para(4216(a,1),1589(a,2,2)),flip(a)]. 4219 (L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) != w | K(u * x,u * L(x,y,z)) = w. [para(4216(a,1),1629(a,1,1))]. 4220 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(2665,a,4218,a),flip(a)]. 4221 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),3702(a,1,1,2,1))]. 4222 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [hyper(57,a,3597,a(flip),b,4221,a),flip(a)]. 4223 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(4222(a,1),1587(a,2,2)),flip(a)]. 4224 ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)). [hyper(2681,a,4223,a)]. 4225 K(x,T((T(x,y) * y) \ z,T(y,x))) = K(x,z / (x * ((x * y) / x))). [para(3962(a,1),4002(a,1,2))]. 4226 K(x,T((T(x,y) * y) \ z,y)) = K(x,z / (x * ((x * y) / x))). [hyper(57,a,3520,a(flip),b,4225,a)]. 4227 K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(x \ y,x)) * (y / x). [para(1802(a,1),4051(a,2,1,2))]. 4228 K(x,y) \ K(z / T(y,x),K(x,y) \ 1) = (z / y) / (z / T(y,x)). [para(2487(a,1),4072(a,1,2,1))]. 4230 K(x,y) \ K(z / T(y,x),K(y,x)) = (z / y) / (z / T(y,x)). [para(1782(a,1),4228(a,1,2,2))]. 4231 K(x,y) \ K(y,K(x,z / T(y,x))) = (z / y) / (z / T(y,x)). [para(3736(a,2),4230(a,1,2))]. 4232 K(x,y) \ K(y,K(x,z / y)) = (z / y) / (z / T(y,x)). [para(3528(a,1),4231(a,1,2,2))]. 4233 T(x * (y / z),K(z,z \ y)) = T(x,K(y,z)) * (y / z). [hyper(57,a,2740,a(flip),b,4178,a),flip(a)]. 4234 T(x * (y / z),K(y,z)) = T(x,K(y,z)) * (y / z). [hyper(3847,a,4233,a)]. 4236 K(x,K(x,y) * y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)). [para(2129(a,1),4211(a,1,1,2))]. 4237 K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(x,x \ y)) * (y / x). [hyper(230,a,3808,a,b,4227,a),flip(a)]. 4238 T((x \ 1) * y,x \ K(x,z)) = K(z,x) * (y * (x \ K(x,z))). [para(3513(a,1),4236(a,1,1)),flip(a)]. 4239 T((x \ 1) * y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)). [hyper(230,a,2963,a(flip),b,4238,a),flip(a)]. 4241 T((x / y) * (x \ 1),K(x,y)) = (x / y) * (x \ 1). [hyper(57,a,2441,a(flip),b,4239,a),flip(a)]. 4242 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(6(a,1),3667(a,1,1,2,2)),flip(a)]. 4243 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(340,a,4242,a),flip(a)]. 4244 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(45,a,4242,a)]. 4245 K(x,R(x,y,z) \ u) = x \ T(x,x \ u). [para(4244(a,1),1589(a,2,2))]. 4246 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(230,a,1589,a,b,4245,a),flip(a)]. 4247 K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1). [hyper(57,a,2381,a(flip),b,4246,a),flip(a)]. 4248 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(322(a,1),4246(a,1,2)),flip(a)]. 4250 K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1). [hyper(57,a,3570,a(flip),b,4247,a)]. 4251 K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w. [para(4250(a,2),2089(a,1))]. 4252 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(229(a,1),4243(a,1,1)),flip(a)]. 4253 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(178(a,1),4252(a,1,1,1)),flip(a)]. 4254 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(4252(a,1),3538(a,1,2,1)),flip(a)]. 4255 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [hyper(57,a,630,a(flip),b,4253,a)]. 4256 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(7(a,1),4255(a,2,1,1,2))]. 4257 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(954(a,1),4256(a,1,2))]. 4258 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(4(a,1),4257(a,1,2,2,1,1))]. 4259 K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,T(z / T(x \ y,x),x \ y)). [hyper(230,a,2226,a(flip),b,3591,a),flip(a)]. 4260 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(3937(a,1),3826(a,1,1))]. 4261 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. [para(2164(a,1),4260(a,2,1,2))]. 4262 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). [hyper(230,a,3860,a(flip),b,4261,a),flip(a)]. 4263 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). [hyper(230,a,2409,a(flip),b,4262,a),flip(a)]. 4265 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(3866(a,1),3900(a,1,2,2,1))]. 4266 (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(4265(a,1),3361(a,1,1))]. 4268 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(230,a,4121,a(flip),b,4124,a),flip(a)]. 4269 K(x \ y,x) * (z * ((x * (y / x)) / x)) = (K(x,x \ y) * z) * (x \ y). [para(3222(a,1),4176(a,1,2))]. 4270 T(x,K(y,y \ z)) * (z / y) = (K(y,y \ z) * x) * (y \ z). [hyper(57,a,4237,a(flip),b,4269,a)]. 4271 (K(x,x \ y) * z) * (x \ y) = T(z,K(y,x)) * (y / x). [para(3810(a,1),4270(a,1,1)),flip(a)]. 4272 (K(x,x \ y) * z) * (x \ y) = T(z * (y / x),K(y,x)). [hyper(230,a,4234,a,b,4271,a),flip(a)]. 4273 T(x * (y / z),K(y,z)) = (y / z) * T(x,z \ y). [hyper(57,a,3699,a(flip),b,4272,a),flip(a)]. 4274 K(x \ y,x) * ((x \ y) \ (z * (y / x))) = T(T(z,K(y,x)),x \ y). [hyper(230,a,17,a,b,4177,a),flip(a)]. 4275 T(T(x,K(y,z)),z \ y) = (y / z) \ (x * (y / z)). [hyper(57,a,2394,a(flip),b,4274,a),flip(a)]. 4276 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(230,a,17,a,b,4275,a),flip(a)]. 4277 K(x,(K(y,y \ z) * (T(y,z) \ u)) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). [para(4151(a,1),4214(a,1,2,1))]. 4278 K(x,L(y,z,u)) * K(y,x) != w | K(x * y,x * L(y,z,u)) = w. [para(4041(a,1),4219(a,1))]. 4279 K(x,(L(y,y \ z,y) \ u) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). [para(4204(a,1),4277(a,1,2,1))]. 4280 K(x,y \ (z * ((y \ u) \ u))) = K(x,(y \ z) * T(y,u)). [hyper(57,a,1957,a(flip),b,4279,a),flip(a)]. 4282 K(x,y \ (z * ((y \ u) \ u))) = K(x,T(z * K(y,u),y)). [para(3126(a,2),4280(a,2,2))]. 4283 K(x,T(y * K(z,u),z)) = K(x,(z \ y) * T(z,u)). [hyper(57,a,4280,a(flip),b,4282,a),flip(a)]. 4284 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,(((z * y) \ z) * (z * y)) \ u). [para(1619(a,1),3827(a,1,2,1)),flip(a)]. 4285 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,z * y) \ u). [hyper(230,a,2461,a(flip),b,4284,a),flip(a)]. 4287 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,y) \ u). [hyper(230,a,1885,a(flip),b,4285,a),flip(a)]. 4288 K(x,(y * K(z \ 1,z * y)) \ u) = K(x,T(y,z) \ u). [para(1993(a,1),4287(a,1,2,1))]. 4289 R(x / (y * K(K(z,u),w)),y / K(w,K(z,u)),K(w,K(z,u))) = (x * K(z,K(w,u))) / y. [para(2166(a,1),3858(a,1,1,2))]. 4290 R(x / (y * K(z,K(u,w))),y / K(w,K(z,u)),K(w,K(z,u))) = (x * K(z,K(w,u))) / y. [para(3711(a,1),4289(a,1,1,2,2))]. 4291 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(237,a,4266,a),flip(a)]. 4294 R(K(x,y),R(x,z,u),w) = K(x,y). [para(92(a,1),4291(a,1,2,1))]. 4295 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(57,a,3376,a(flip),b,4294,a)]. 4296 K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)). [para(2163(a,1),4224(a,1,1))]. 4298 K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)). [para(2226(a,1),4296(a,1,2))]. 4299 K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)). [para(146(a,1),4298(a,1,2,2)),flip(a)]. 4300 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z). [para(4144(a,1),4145(a,1,2,1,1)),flip(a)]. 4301 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u). [hyper(230,a,1446,a(flip),b,4300,a),flip(a)]. 4303 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(515(a,1),4301(a,2,1))]. 4304 T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(515(a,1),4303(a,1,1))]. 4305 K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x). [para(4304(a,1),1587(a,2,2))]. 4306 K(R(x,y,z),y \ R(y,u,w)) != v5 | K(x,y \ R(y,u,w)) = v5. [para(4305(a,2),1649(a,1))]. 4307 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(57,a,4112,a(flip),b,4156,a),flip(a)]. 4309 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(3711(a,1),4161(a,2,1))]. 4310 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(230,a,3732,a(flip),b,4309,a),flip(a)]. 4311 T(K(x,y) * z,u) * K(y,T(x,T(w,T(K(x,y) * z,u)))) = K(y,T(x,w)) * T(z * K(x,y),u). [para(1974(a,2),4310(a,1,2))]. 4312 (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(13(a,2),1247(a,2,2,1,1))]. 4313 (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(477(a,1),4312(a,1,2))]. 4314 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(4(a,1),4313(a,1,2,2,2,1,2))]. 4315 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(476(a,1),4314(a,1,2,2))]. 4316 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(295,a,4315,a),flip(a)]. 4317 L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = (x \ u) \ ((x \ (u / x)) * L(x,y,z)). [hyper(57,a,3330,a(flip),b,4316,a),flip(a)]. 4318 L(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(72(a,1),4316(a,2,1,2,1))]. 4319 L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z). [para(588(a,1),4316(a,1,1)),flip(a)]. 4320 L(x,y,z) * L(L(x,y,z) \ 1,u,1 / x) = L(x * T(1 / x,1),y,z). [para(730(a,1),4316(a,2,1,2))]. 4321 L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y / (y * x)) * L(L(T(x \ 1,y \ 1),x,y) \ 1,z,u). [para(1052(a,1),4316(a,1,1)),flip(a)]. 4322 L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(x \ (x / y),w,y) \ 1,z,u). [para(2292(a,1),4316(a,1,1)),flip(a)]. 4323 L(x \ 1,x,y) * L(L(x \ 1,x,L(x,z,u) \ y) \ 1,w,v5) = L((x \ 1) * L((x \ 1) \ 1,w,v5),x,L(x,z,u) \ y). [para(3007(a,1),4316(a,1,1))]. 4324 L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [para(588(a,1),4319(a,2,2,1,1))]. 4325 L((x * y) * L((x * y) \ 1,y,x),z,x * y) = x * (y * ((x * y) \ 1)). [hyper(230,a,81,a(flip),b,4324,a),flip(a)]. 4326 a(x,y,x * L(x \ 1,z,u)) = 1. [hyper(47,a,4324,a)]. 4327 a(x,y,z * ((z \ x) * (x \ 1))) = 1. [para(283(a,1),4326(a,1,3))]. 4328 a(x,y,(x \ z) * (z \ x)) = 1. [para(3203(a,1),4327(a,1,3))]. 4329 a(x,y,L(z \ 1,z,x) * ((x / z) \ x)) = 1. [para(2279(a,2),4328(a,1,3,1))]. 4330 a(x,y,L(z \ 1,z,x) * z) = 1. [para(72(a,1),4329(a,1,3,2))]. 4331 a(x,y,z * L(z \ 1,z,x)) = 1. [para(628(a,1),4330(a,1,3))]. 4332 L(x * L(x \ 1,x,y),z,y) = x * L(x \ 1,x,y). [hyper(46,a,4331,a)]. 4333 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1387(a,1),4320(a,1,2))]. 4335 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(161(a,1),4333(a,2,1,2))]. 4336 L(K(x,x \ 1),y,z) = L(u,y,z) * ((1 / u) * (L(u,y,z) \ u)). [para(736(a,2),4335(a,2,1)),flip(a)]. 4337 K(x,x \ 1) = L(y,z,u) * ((1 / y) * (L(y,z,u) \ y)). [hyper(57,a,995,a(flip),b,4336,a)]. 4341 L(x * (y * ((x * y) \ 1)),z,x * y) = x * (y * ((x * y) \ 1)). [para(81(a,1),4325(a,1,1))]. 4342 (x \ y) \ ((x \ (y / x)) * L(x,z,u)) = L(x \ L(x,z,u),x,y). [para(1214(a,1),4317(a,1,1)),flip(a)]. 4343 L((x \ 1) \ L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y). [hyper(57,a,3343,a(flip),b,4342,a),flip(a)]. 4344 L(x * L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y). [para(859(a,1),4343(a,1,1))]. 4345 x * L(x \ 1,x,y) = a(x,x \ 1,y). [hyper(57,a,4332,a(flip),b,4344,a)]. 4347 L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(613(a,1),4318(a,1,1,1))]. 4348 L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(613(a,1),4347(a,1,2,1,1,1))]. 4349 L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(y \ 1,y,x) \ 1,z,u). [para(2292(a,1),4322(a,2,2,1,1))]. 4351 (((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(15(a,2),1254(a,2,2,1,1))]. 4352 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1428(a,1),4351(a,1,1))]. 4353 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1429(a,1),4352(a,1,1,1))]. 4354 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(315,a,4353,a),flip(a)]. 4355 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(R(x \ 1,u,x) \ 1,y,z). [para(1158(a,1),4354(a,1,1)),flip(a)]. 4356 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1158(a,1),4355(a,2,2,1,1))]. 4357 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). [hyper(230,a,515,a(flip),b,4356,a),flip(a)]. 4359 R(x \ R(x,y,z),u,x) = x \ R(x,y,z). [para(515(a,1),4357(a,1,1))]. 4360 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(81(a,1),1257(a,1,2,1,2,1))]. 4361 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(57,a,528,a(flip),b,4360,a),flip(a)]. 4362 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(527(a,1),4361(a,2,2))]. 4363 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(292,a,4362,a),flip(a)]. 4364 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(1901,a,4363,a),flip(a)]. 4365 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(1259(a,1),4364(a,1,1))]. 4366 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(230,a,1589,a,b,4365,a),flip(a)]. 4367 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(1589(a,2),4366(a,1,1))]. 4368 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(614(a,1),4367(a,1,1,2)),flip(a)]. 4369 K(x,L(K(y,z \ 1),u,w)) = K(x,K(y,L(z,u,w))). [para(4367(a,2),3750(a,1,2))]. 4370 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(57,a,2160,a,b,4368,a)]. 4371 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(57,a,2703,a(flip),b,4368,a)]. 4372 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(4368(a,1),2704(a,1,1)),flip(a)]. 4374 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(2793,a,4371,a)]. 4375 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(57,a,3889,a(flip),b,4374,a),flip(a)]. 4376 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),4374(a,1,2,2)),flip(a)]. 4377 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(69(a,1),4374(a,1,2,2)),flip(a)]. 4378 L(K(x,y),z,K(u,y)) = K(x,y). [para(3416(a,1),4374(a,1,2)),flip(a)]. 4379 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(57,a,4061,a(flip),b,4378,a)]. 4380 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(57,a,3632,a(flip),b,4379,a)]. 4381 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(57,a,3425,a(flip),b,4376,a),flip(a)]. 4382 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(57,a,2791,a(flip),b,4376,a),flip(a)]. 4383 K(x,L(y,z,K(x,u))) = K(x,y). [para(1698(a,1),4381(a,1,2,3))]. 4384 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(2143(a,1),4381(a,1,2))]. 4385 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(25(a,1),4383(a,1,2))]. 4387 K(x \ T(y,z),y) = K(x \ y,y). [para(1598(a,1),4380(a,1,1,2)),flip(a)]. 4388 K(x \ K(y,z),y) = K(x \ 1,y). [para(1774(a,1),4380(a,1,1,2)),flip(a)]. 4389 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(3888(a,1),4380(a,1,1,2)),flip(a)]. 4390 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(742(a,1),4387(a,1,1,2))]. 4391 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(2615(a,1),4389(a,1,1,2)),flip(a)]. 4392 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(4372(a,1),110(a,1))]. 4393 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(83(a,1),4377(a,2,2))]. 4394 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(222(a,1),4377(a,2,2))]. 4395 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(298(a,1),4377(a,2,2))]. 4396 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(230,a,3551,a(flip),b,4393,a),flip(a)]. 4397 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(57,a,4377,a(flip),b,4393,a)]. 4398 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(57,a,4061,a(flip),b,4395,a)]. 4399 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(57,a,2782,a(flip),b,4395,a),flip(a)]. 4400 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(4396(a,1),1814(a,1,2))]. 4401 K(x,L(y \ (z * u),y,z \ 1)) = K(x,((z \ 1) * y) \ L(u,z,z \ 1)). [para(836(a,1),4397(a,2,2,2))]. 4402 K(x,L(y \ (((z * u) \ z) \ z),y,u \ 1)) = K(x,((u \ 1) * y) \ R(z,u,u \ 1)). [para(2719(a,1),4397(a,2,2,2))]. 4403 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(1696(a,1),4369(a,1,2,1))]. 4404 K(x,L(K(y,z),u,w)) = K(z,K(x,L(y,u,w))). [hyper(230,a,3738,a,b,4403,a),flip(a)]. 4405 K(x,L(K(y,z),u,w)) != v5 | K(z,K(x,L(y,u,w))) = v5. [para(4403(a,2),3739(a,1))]. 4406 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4404(a,2),3739(a,1))]. 4407 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(57,a,3642,a(flip),b,4384,a),flip(a)]. 4409 K(x,y \ (z * (1 / u))) = K(x,y \ (z * (u \ 1))). [para(997(a,1),4407(a,1,2,2))]. 4410 K(x,y \ T(x,z)) = K(x,y \ x). [para(1610(a,2),4407(a,1,2,2))]. 4411 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(2135(a,1),4407(a,1,2,2)),flip(a)]. 4412 K(x,y \ ((z \ 1) * (z * u))) = K(x,y \ L(u,z,z \ 1)). [para(2804(a,1),4407(a,1,2,2)),flip(a)]. 4413 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(3898(a,1),4407(a,1,2,2)),flip(a)]. 4414 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(4410(a,1),3756(a,1,1,2))]. 4415 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(2700(a,1),4413(a,1,2,2,2))]. 4416 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(2739(a,1),4413(a,1,2,2)),flip(a)]. 4417 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(81(a,1),4415(a,1,2,2))]. 4418 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(4390(a,1),2187(a,1,1,1,2))]. 4419 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(287(a,1),4391(a,2,1))]. 4420 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(57,a,2406,a(flip),b,4416,a),flip(a)]. 4421 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(2179(a,1),4417(a,1,2,2,2)),flip(a)]. 4422 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(287(a,1),4421(a,1,2))]. 4423 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(3109(a,1),4394(a,1,1))]. 4424 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(3539(a,1),4394(a,1,1))]. 4425 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(3558(a,1),4394(a,1,1))]. 4426 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(3657(a,1),4394(a,1,1))]. 4427 K(x \ (y \ z),K(u,L(w,y \ z,y))) = K(u,K(w,(y * x) \ z)). [para(4394(a,1),4404(a,1,2)),flip(a)]. 4428 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(2700(a,1),4370(a,1,1,2))]. 4429 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(160,a,4428,a)]. 4430 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(81(a,1),4428(a,1,1))]. 4431 x / L(L(K(y,z),u,w),K(v5,y),v6) = x * L(K(z,y),u,w). [para(4064(a,2),4429(a,1,2))]. 4432 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(2184,a,4430,a)]. 4433 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(2224(a,1),4430(a,1,1,2))]. 4434 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(4432(a,1),4210(a,1,2))]. 4435 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(2140,a,4434,a)]. 4436 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2004,a,4434,a)]. 4437 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(2790(a,1),4434(a,1,2))]. 4438 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(4392,a,4436,a)]. 4440 (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). [para(4436(a,1),4073(a,2,2))]. 4441 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(4376(a,1),4436(a,1,1))]. 4442 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(2786(a,1),4438(a,1,1))]. 4443 L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). [hyper(2925,a,4433,a),flip(a)]. 4444 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [hyper(110,a,4433,a)]. 4445 L(K(x,y),L(y,z,u),w) = K(x,y). [para(142(a,1),4443(a,1,1,2))]. 4446 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(57,a,2785,a(flip),b,4445,a)]. 4447 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(57,a,2782,a(flip),b,4445,a),flip(a)]. 4448 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(57,a,2571,a(flip),b,4446,a),flip(a)]. 4450 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(230,a,3679,a(flip),b,4448,a),flip(a)]. 4451 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(3866(a,1),4375(a,1,1)),flip(a)]. 4452 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(152(a,1),4451(a,1,2,2)),flip(a)]. 4453 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(208(a,1),4451(a,1,2,2))]. 4455 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(4451(a,1),4441(a,1,1)),flip(a)]. 4456 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(7(a,1),4452(a,1,2))]. 4457 K(x,y) * K(y,L(x,z,u)) = a(u,x * z,K(x,y)). [para(4452(a,1),4434(a,1,2))]. 4458 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(4456(a,1),4403(a,1,2)),flip(a)]. 4459 (x * L(K(y,z),u,w)) / K(y,z) = x * a(w,u,K(z,y)). [hyper(57,a,2166,a,b,4440,a)]. 4460 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(57,a,4450,a(flip),b,4447,a),flip(a)]. 4462 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(230,a,3675,a(flip),b,4460,a),flip(a)]. 4463 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(81(a,1),4462(a,1,1,2))]. 4464 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(57,a,3647,a(flip),b,4463,a)]. 4465 (1 * L(K(x,y),z,u)) / K(x,y) != w | a(u,z,K(y,x)) = w. [para(4459(a,2),100(a,1))]. 4466 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(287(a,1),4398(a,2,2))]. 4467 K(x,y \ R(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). [para(1106(a,1),4412(a,1,2,2))]. 4468 (x / (K(y,z) * L(K(z,u),w,v5))) * K(y,z) = x * L(K(u,z),w,v5). [hyper(436,a,4431,a)]. 4469 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(1128(a,1),4399(a,2,1))]. 4470 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(1719(a,1),4414(a,1,1,2))]. 4471 T(x \ T(y,z),K(u,y)) = T(x,K(y,u)) \ T(y,z). [hyper(3743,a,4470,a),flip(a)]. 4472 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(230,a,4436,a(flip),b,4455,a),flip(a)]. 4474 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(2513(a,1),4472(a,1,2))]. 4476 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(1698(a,1),4474(a,1,2,2))]. 4477 a(x,y / z,K(y,u)) = a(x,z \ y,K(y,u)). [para(1809(a,1),4474(a,1,2))]. 4479 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(3754(a,1),4476(a,1,2))]. 4480 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(57,a,3821,a(flip),b,4479,a)]. 4482 a(x,y,K(z,T(u,y))) = a(x,y,K(z,u)). [para(1974(a,2),4480(a,1,3))]. 4483 a(x,y \ 1,K(z,T(u,y))) = a(x,y \ 1,K(z,u)). [para(3861(a,1),4480(a,1,3))]. 4484 a(x,y \ z,K(z,T(u,y))) = a(x,y \ z,K(z,u)). [para(3949(a,1),4482(a,1,3))]. 4485 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(230,a,3676,a(flip),b,4464,a),flip(a)]. 4486 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(230,a,3651,a(flip),b,4423,a),flip(a)]. 4487 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(57,a,4394,a(flip),b,4424,a),flip(a)]. 4488 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(181(a,1),4487(a,1,2,1,2)),flip(a)]. 4489 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(230,a,3645,a,b,4425,a),flip(a)]. 4490 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(230,a,1710,a,b,4489,a),flip(a)]. 4491 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(4434(a,1),4468(a,1,1,2))]. 4492 (x * L(K(y,z),u,w)) / K(y,z) = x / a(w,u,K(y,z)). [hyper(105,a,4491,a)]. 4493 1 / a(x,y,K(z,u)) = a(x,y,K(u,z)). [hyper(4465,a,4492,a),flip(a)]. 4494 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(57,a,4459,a(flip),b,4492,a),flip(a)]. 4495 1 / a(x,y,K(z,u)) != w | a(x,y,K(u,z)) = w. [para(4492(a,1),4465(a,1))]. 4497 a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)). [para(1597(a,2),4493(a,2,3)),flip(a)]. 4498 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(2307,a,4494,a)]. 4499 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(30,a,4493,a,b,4497,a(flip))]. 4500 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(4(a,1),4499(a,1,3,1)),flip(a)]. 4501 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(3679(a,1),4500(a,1,3)),flip(a)]. 4502 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(153,a,4498,a)]. 4503 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(4502(a,2),38(a,1))]. 4504 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(4502(a,1),110(a,1))]. 4505 a(x,y,K(z,z \ u)) != w | a(x,y,K(z,u)) = w. [para(4497(a,2),4495(a,1))]. 4506 a(x,y,K(z,u \ z)) != w | a(x,y,K(u,z)) = w. [para(1720(a,2),4505(a,1,3))]. 4507 a(x,y,K(z \ u,u)) != w | a(x,y,K(u,z)) = w. [para(2039(a,2),4505(a,1,3))]. 4508 a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. [para(2039(a,2),4506(a,1,3))]. 4509 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(4501(a,2),4507(a,1))]. 4510 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(57,a,4486,a(flip),b,4426,a),flip(a)]. 4511 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(57,a,4488,a(flip),b,4510,a),flip(a)]. 4512 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(57,a,3542,a(flip),b,4511,a)]. 4513 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(230,a,3103,a(flip),b,4419,a),flip(a)]. 4515 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(3658(a,1),4490(a,1,1))]. 4516 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [hyper(57,a,4385,a(flip),b,4422,a),flip(a)]. 4518 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(57,a,3652,a(flip),b,4516,a),flip(a)]. 4520 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),4518(a,2,2))]. 4521 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(4520(a,1),2220(a,1,2,2)),flip(a)]. 4522 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(230,a,2220,a(flip),b,4521,a),flip(a)]. 4523 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(1598(a,1),4522(a,1,1,2)),flip(a)]. 4524 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(4(a,1),4466(a,1,2,1))]. 4526 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),4524(a,1,2))]. 4527 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(57,a,3127,a(flip),b,4526,a)]. 4528 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(230,a,3108,a(flip),b,4527,a),flip(a)]. 4531 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),4528(a,2,2,2))]. 4532 K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). [para(840(a,1),4531(a,1,1,2))]. 4533 L(x,K(y,L(z,u,w)),z) = x. [para(4531(a,1),1700(a,1,2))]. 4534 a(x,y,K(z,L(x,u,w))) = 1. [para(4531(a,1),3096(a,1,3))]. 4535 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(1887,a,4532,a)]. 4537 K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(57,a,4523,a(flip),b,4535,a)]. 4538 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [para(587(a,1),4537(a,2,2,1))]. 4539 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(57,a,4425,a(flip),b,4515,a),flip(a)]. 4540 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(1893,a,4539,a)]. 4541 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(57,a,3645,a(flip),b,4540,a)]. 4542 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(328(a,1),4541(a,1,2,1,2))]. 4543 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(57,a,4512,a(flip),b,4542,a),flip(a)]. 4544 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(57,a,4425,a,b,4543,a)]. 4545 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(57,a,3645,a,b,4543,a)]. 4546 K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x). [para(4545(a,1),1782(a,1,1))]. 4547 K(x,K(y,(z * u) \ (y * y))) = K(x,K(z * (u / y),y)). [para(4545(a,1),2344(a,1,2))]. 4548 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(4545(a,1),4394(a,1,1))]. 4549 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(1785,a,4546,a),flip(a)]. 4550 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(57,a,3630,a(flip),b,4549,a)]. 4551 K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y). [para(4(a,1),4550(a,1,1,1,2)),flip(a)]. 4552 (K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)). [para(4550(a,1),2217(a,1,1,1))]. 4553 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(57,a,3494,a(flip),b,4551,a)]. 4554 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(57,a,4513,a(flip),b,4553,a),flip(a)]. 4555 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(71(a,1),4553(a,1,1,1)),flip(a)]. 4556 K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)). [para(3574(a,1),4547(a,1,2)),flip(a)]. 4557 K(x,K(y * (z / u),u)) = K(x,K(y * z,u)). [hyper(230,a,2344,a(flip),b,4556,a),flip(a)]. 4558 K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))). [para(4557(a,1),3761(a,1,2))]. 4559 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(230,a,2064,a(flip),b,4555,a),flip(a)]. 4560 K(x,T(y,z * (u / y))) = K(x,T(y,z * u)). [hyper(3984,a,4558,a),flip(a)]. 4561 K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)). [para(3505(a,1),4560(a,1,2))]. 4562 K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w). [para(4561(a,1),2131(a,1,2,1)),flip(a)]. 4563 K(T(x,y * (x \ z)),u) = K(T(x,y * z),u). [hyper(230,a,2131,a(flip),b,4562,a),flip(a)]. 4564 K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)). [hyper(230,a,2226,a(flip),b,4563,a),flip(a)]. 4565 K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w. [para(4563(a,2),2416(a,1))]. 4566 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [hyper(2416,a,4564,a)]. 4567 K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). [hyper(57,a,3891,a(flip),b,4564,a),flip(a)]. 4568 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [hyper(57,a,3560,a,b,4566,a)]. 4569 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(57,a,4485,a(flip),b,4554,a),flip(a)]. 4570 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),4569(a,2,1))]. 4571 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(57,a,4538,a(flip),b,4570,a),flip(a)]. 4572 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(57,a,4062,a(flip),b,4571,a)]. 4573 K(x,L(y,x * z,u)) = K(L(x,z,u),y). [para(4(a,1),4571(a,1,1,2)),flip(a)]. 4574 K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). [hyper(2915,a,4572,a)]. 4575 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(2914,a,4572,a)]. 4576 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [hyper(230,a,4403,a(flip),b,4572,a),flip(a)]. 4577 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(57,a,4453,a,b,4572,a)]. 4578 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(57,a,4435,a,b,4572,a)]. 4579 K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). [hyper(57,a,4456,a(flip),b,4572,a)]. 4580 K(x,L(y,y * z,u)) = K(x,L(y,z,u)). [hyper(57,a,4452,a(flip),b,4572,a),flip(a)]. 4581 K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). [hyper(57,a,4393,a(flip),b,4572,a),flip(a)]. 4582 K(x,L(y \ z,z,u)) = K(x,L(y \ z,y,u)). [hyper(57,a,4377,a(flip),b,4572,a),flip(a)]. 4583 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(57,a,2790,a(flip),b,4572,a),flip(a)]. 4584 K(x,L(y,y,z)) = K(x,y). [hyper(57,a,2524,a(flip),b,4572,a),flip(a)]. 4585 (x * y) \ (x * (y * K(z,u))) = K(z,L(u,y,x)). [hyper(57,a,13,a(flip),b,4572,a)]. 4586 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(20(a,1),4572(a,2,2))]. 4587 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(4572(a,1),81(a,1,2))]. 4588 x * K(y,L(z,u \ x,u)) = u * ((u \ x) * K(y,z)). [para(4572(a,1),283(a,1,2))]. 4589 x * L(K(y,T(z,x)),u,w) = K(y,L(z,u,w)) * x. [para(4572(a,2),1988(a,1,2))]. 4590 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(4572(a,1),2822(a,1,2))]. 4591 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(4572(a,1),2845(a,1,2))]. 4592 x * K(y,L(z,u,u \ x)) != w | (x / u) * (u * K(y,z)) = w. [para(4572(a,1),2846(a,1,2))]. 4593 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4572(a,1),4406(a,1,2))]. 4594 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4572(a,2),4406(a,1))]. 4595 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(4572(a,1),4434(a,1,2))]. 4596 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(4572(a,1),4436(a,1,1))]. 4597 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(4572(a,1),4438(a,1,1))]. 4598 (x * (K(y,z) * u)) * K(z,L(T(y,u),u,x)) = x * u. [para(4572(a,1),4444(a,1,2))]. 4599 T(x,L(y,y,z)) = x * K(x,y). [para(4584(a,1),1592(a,2,2))]. 4600 T(x,L(y,y,z)) = T(x,y). [hyper(230,a,1592,a,b,4599,a),flip(a)]. 4603 T(x,L(y,y \ z,u)) = x * K(x,L(y,z,u)). [para(4577(a,1),1592(a,2,2))]. 4604 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(3738(a,1),4576(a,1,1))]. 4605 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [hyper(57,a,3128,a(flip),b,4586,a),flip(a)]. 4606 K(x,T(L(y,z \ u,z),z \ u)) = u \ (z * (K(x,y) * (z \ u))). [hyper(57,a,1981,a(flip),b,4586,a),flip(a)]. 4607 K(x,T((T(x,y) * z) \ u,w)) = K(x,T(z \ (T(x,y) \ u),w)). [para(222(a,1),4605(a,1,2,1))]. 4608 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(57,a,4457,a(flip),b,4595,a)]. 4609 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [para(4595(a,1),2181(a,1,1))]. 4612 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(5(a,1),4608(a,1,2)),flip(a)]. 4613 a(x,T(y,z \ 1) / z,K((z \ 1) \ (y / z),u)) = a(x,z \ 1,K((z \ 1) \ (y / z),u)). [para(1018(a,1),4608(a,1,2))]. 4614 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(3736(a,2),4608(a,1,3))]. 4615 a(x,T((y \ z) \ 1,z),K(((y \ z) \ 1) \ y,u)) = a(x,y,K(((y \ z) \ 1) \ y,u)). [para(2736(a,2),4612(a,1,2))]. 4616 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(57,a,4441,a(flip),b,4596,a)]. 4617 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(4596(a,1),1596(a,1,2)),flip(a)]. 4618 a(x,y,K(z,u)) != w | K(u * z,u * L(z,y,x)) = w. [para(4596(a,1),4278(a,1))]. 4619 (x * K(y,z)) / a(x / (u * y),u,K(y,z)) = (x / (u * y)) * (u * T(y,z)). [para(4616(a,1),2493(a,1,2))]. 4620 K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). [hyper(2140,a,4597,a)]. 4621 T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). [hyper(230,a,1592,a,b,4603,a),flip(a)]. 4622 K(x,L(K(y,z),u,w)) = K(y,K(z,L(x,u,w))). [hyper(57,a,4572,a(flip),b,4604,a)]. 4623 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(2002,a,4620,a)]. 4624 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(29,a,4596,a,b,4620,a),flip(a)]. 4625 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(29,a,4436,a,b,4620,a)]. 4626 K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)). [hyper(1892,a,4624,a),flip(a)]. 4627 K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)). [hyper(1768,a,4624,a)]. 4628 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(57,a,4583,a,b,4624,a)]. 4629 K(x,L(y,x * z,u)) = K(x,L(y,z,u)). [hyper(57,a,4573,a,b,4624,a)]. 4630 K(x,L(T(y,z) / z,u,w)) = K(L(x,u,w),z \ y). [hyper(57,a,2606,a(flip),b,4624,a),flip(a)]. 4631 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(222(a,1),4624(a,1,1)),flip(a)]. 4632 K(x \ y,L(z,x,x \ 1)) = K((x \ 1) * y,z). [para(843(a,1),4624(a,1,1)),flip(a)]. 4633 K(x,L(y * z,z,y)) * (y * (z * x)) = L(x,z,y) * (y * z). [para(4624(a,1),882(a,1,1))]. 4634 K(x,L(y,z,u)) * L(x,z,u) = T(L(x,z,u),y). [para(4624(a,1),1610(a,2,1)),flip(a)]. 4635 (L(x,y,z) \ u) * K(x,L(u,y,z)) = u / L(x,y,z). [para(4624(a,1),1809(a,1,2))]. 4636 K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. [para(4624(a,1),1892(a,1))]. 4637 K(x,L(y,z,u)) * w != v5 | K(y,L(x,z,u)) * v5 = w. [para(4624(a,1),2140(a,1,1))]. 4638 (x * (y * z)) * K(z,L(u,y,x)) = x * (y * T(z,u)). [para(4624(a,1),3164(a,1,2))]. 4640 L(K(x,y),1 / x,z) = K(x,y). [hyper(230,a,2789,a(flip),b,4625,a),flip(a)]. 4641 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(4625(a,2),1790(a,1,1))]. 4642 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(4625(a,2),3837(a,1))]. 4643 L(K(1 / (x \ (y / z)),u),x \ (y / (1 / (1 / z))),w) = K(1 / (x \ (y / z)),u). [para(2748(a,1),4640(a,1,2))]. 4644 x * K(y,L(x,z,u)) != w | T(x,L(y \ 1,z,u)) = w. [para(4626(a,1),1607(a,1,2))]. 4645 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(4627(a,1),1751(a,1))]. 4647 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(57,a,4220,a,b,4623,a)]. 4648 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(57,a,4437,a(flip),b,4623,a)]. 4649 a(x,y / z,K(u,z)) = a(x,y,K(u,z)). [para(7(a,1),4648(a,1,2)),flip(a)]. 4650 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [para(4641(a,1),4620(a,1,1))]. 4651 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),4647(a,1,1))]. 4652 K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). [para(5(a,1),4575(a,1,1,2)),flip(a)]. 4653 K(x \ (K(y,z) * u),L(w,K(y,z) * u,K(z,y))) = K((K(z,y) * x) \ u,w). [para(2124(a,1),4575(a,1,1,2)),flip(a)]. 4654 K(x,L((y * z) \ u,u,(y * z) \ z)) = K(x,(z * K(y \ 1,y * z)) \ (((y * z) \ z) * u)). [para(2027(a,1),4581(a,2,2,1))]. 4655 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(4585(a,1),295(a,1))]. 4657 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(4622(a,1),4655(a,1))]. 4658 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(4587(a,1),37(a,1)),flip(a)]. 4659 (x * y) \ (x * (y * K(z,u))) != w | K(z,L(u,y,x)) = w. [para(4587(a,1),241(a,1,2))]. 4660 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(222(a,1),4587(a,1,2,2))]. 4661 T(x,y) * K(z,L(u,y,y \ x)) = (y \ x) * (y * K(z,u)). [para(649(a,2),4587(a,1,1))]. 4662 T(x,y \ 1) * K(z,L(u,x / y,y)) = y * ((x / y) * K(z,u)). [para(1024(a,2),4587(a,1,1))]. 4663 (x * (y * K(z,u))) \ ((x * y) * T(L(u,y,x),z \ L(u,y,x))) = L(u,y,x). [para(4587(a,1),2538(a,1,1))]. 4664 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(2770(a,1),4587(a,1,2,2))]. 4665 K(x * (y * K(z,u)),z) = K(x * y,z). [para(4587(a,1),3485(a,1,1))]. 4666 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(4572(a,1),4587(a,1,2,2))]. 4667 K(x * (T(y,z) \ u),z) = K(x * (y \ u),z). [para(2190(a,1),4665(a,1,1,2))]. 4668 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(4631(a,1),1889(a,1))]. 4669 K(x,L(y,z,u)) * L(x,z,u) = L(T(x,y),z,u). [hyper(230,a,20,a,b,4634,a),flip(a)]. 4670 K(x,y) * L(x,x,z) = L(T(x,y),x,z). [para(3170(a,1),4669(a,1,1))]. 4671 T(x,y) \ L(T(x,y),x,z) = x \ L(x,x,z). [para(4670(a,1),1820(a,1,2))]. 4672 L(x \ L(x,x,y),x,z) = z \ (L(x,x,y) * (x \ z)). [para(4671(a,1),3239(a,1,1))]. 4673 (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) = a(x,u,L(K(y,T(z,u)),u,x)). [para(4589(a,1),1992(a,1,1,2))]. 4674 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(3736(a,2),4614(a,2,3))]. 4675 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(57,a,2253,a,b,4617,a)]. 4676 K(x,L(T(y,z) / z,u,w)) = K(x,L(z \ y,u,w)). [hyper(230,a,4624,a(flip),b,4630,a),flip(a)]. 4677 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(57,a,4126,a,b,4664,a)]. 4678 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(y,x)) * K(u,y). [para(2144(a,1),4664(a,1,1)),flip(a)]. 4679 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(4675(a,1),1641(a,1,1))]. 4680 K(x,L(y / T(z,y),u,w)) = K(x,L(z \ y,u,w)). [para(723(a,1),4676(a,1,2,1))]. 4681 K(x,L((y \ z) \ z,u,w)) = K(x,L(T(y,z),u,w)). [para(722(a,1),4680(a,1,2,1)),flip(a)]. 4682 K(x,L(T(y,z * u),z,u)) * (z * u) = u * (T(z,u) * K(x,y)). [hyper(3995,a,4590,a)]. 4683 x * K(y,L(z,u * y,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(2472(a,1),4591(a,2,2))]. 4684 K(K(x,y) * (z \ u),L(w,z \ u,z)) = K((z * K(y,x)) \ u,w). [para(2129(a,1),4652(a,1,1))]. 4685 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(4652(a,1),4588(a,1,2)),flip(a)]. 4686 L(x,x,y) * (x \ z) = (z / x) * L(x,x,y). [hyper(3048,a,4672,a),flip(a)]. 4687 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(13(a,2),4659(a,1))]. 4690 K(x,L(y \ z,y,u)) != w | K(x,L(y \ z,z,u)) = w. [para(4377(a,1),4687(a,1))]. 4691 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(z,y),u,w)) = v5. [para(4576(a,1),4687(a,1))]. 4692 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(4625(a,1),4687(a,1))]. 4693 K(x \ 1,L(y,z,u)) != w | K(y,L(x,z,u)) = w. [para(1698(a,2),4692(a,1))]. 4694 K(x * (y * z),x * y) != u | K(z,L(x * y,y,x)) = u. [para(1690(a,2),4692(a,1))]. 4695 K(x,(K(y,z) * u) \ T(w,K(z,y))) != v5 | K(x,L(u \ (w * K(z,y)),w * K(z,y),K(y,z))) = v5. [para(2351(a,1),4690(a,1,2))]. 4696 K(x,K(y,L(z,u,w))) != v5 | K(y,L(K(z,x),u,w)) = v5. [para(3738(a,1),4691(a,1))]. 4697 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(57,a,3664,a(flip),b,4651,a)]. 4698 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(2573(a,1),4697(a,2,3))]. 4699 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(230,a,4499,a(flip),b,4698,a),flip(a)]. 4701 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(57,a,3586,a(flip),b,4699,a)]. 4702 L(x,y,a(z,u,K(y,w))) != v5 | x = v5. [para(4699(a,1),1627(a,1,3))]. 4703 a(x,y,a(z,u,K(y,w))) = 1. [para(4699(a,1),2521(a,1,3))]. 4704 x / (a(y,z,K(u,w)) * x) != v5 | K(u * (L(w,z,y) \ w),u) = v5. [para(4701(a,1),2141(a,1,2,1))]. 4705 K(x,T((T(x,y) * z) \ u,y)) = K(x,T(x \ (z \ u),y)). [hyper(230,a,3693,a(flip),b,4607,a),flip(a)]. 4706 K(x,T(x \ (y \ z),y)) = K(x,z / (x * ((x * y) / x))). [hyper(57,a,4226,a(flip),b,4705,a),flip(a)]. 4707 K(x,T(x \ (y \ z),y)) = K(x,z / (x * y)). [hyper(230,a,3531,a(flip),b,4706,a),flip(a)]. 4708 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(57,a,4153,a(flip),b,4707,a),flip(a)]. 4709 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(57,a,3530,a,b,4708,a)]. 4710 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(57,a,3559,a,b,4709,a)]. 4711 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(57,a,3654,a(flip),b,4709,a),flip(a)]. 4712 K(x,(y * z) / (z * x)) = K(x,x \ y). [para(6(a,1),4709(a,2,2,2))]. 4713 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(4(a,1),4710(a,1,2,1)),flip(a)]. 4714 K(x,R(x \ y,x,z)) = K(x,(y * u) / (u * x)). [hyper(230,a,3392,a,b,4712,a)]. 4715 a(x,y,x) = K(z,u / w) * K((z * u) / w,z). [para(4713(a,1),2269(a,2,1))]. 4716 K(x,(y * z) / (z * x)) != u | K(x,x \ y) = u. [para(4714(a,1),1887(a,1))]. 4717 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(3686,a,4715,a),flip(a)]. 4718 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(57,a,4035,a(flip),b,4717,a)]. 4719 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(57,a,4713,a(flip),b,4711,a),flip(a)]. 4721 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(4719(a,1),3380(a,1))]. 4722 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [hyper(230,a,4120,a,b,4678,a),flip(a)]. 4723 T(x,y \ 1) * K(z,L(u,y \ x,y)) = y * ((x / y) * K(z,u)). [para(2807(a,1),4662(a,1,2,2))]. 4724 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(4704,a,4498,a)]. 4726 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(1880,a,4724,a)]. 4727 K(x,y \ L(y,z,u)) = a(u,z,K(y,x)). [hyper(2043,a,4726,a)]. 4728 a(x \ 1,x,K(y,z)) = 1. [hyper(57,a,3034,a(flip),b,4726,a),flip(a)]. 4729 a(x,y,K(L(y,z,u) \ y,w)) = 1. [para(4726(a,2),4703(a,1,3))]. 4730 L(K(x,y),z,z \ 1) = K(x,y). [hyper(46,a,4728,a)]. 4731 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(4687,a,4730,a)]. 4732 L(K(x,y),z \ 1,z) = K(x,y). [hyper(1153,a,4730,a)]. 4733 (x \ 1) \ K(y,z) = x * K(y,z). [para(4730(a,1),847(a,1,2))]. 4734 K(x,y) / (z \ 1) = K(x,y) * z. [para(4730(a,1),1101(a,1,1))]. 4735 (x \ 1) * K(y,z) = x \ K(y,z). [para(4730(a,1),1140(a,1,2)),flip(a)]. 4737 K(x,y) * (z \ 1) = K(x,y) / z. [para(4730(a,1),1182(a,1,1)),flip(a)]. 4738 K((x \ 1) * y,z) = K(x \ y,z). [hyper(57,a,4632,a(flip),b,4731,a)]. 4739 K(x,y * (z \ 1)) = K(x,y / z). [hyper(57,a,4053,a(flip),b,4731,a)]. 4740 K(x,L(L(y,z,z \ 1),u,w)) = K(x,L(y,u,w)). [para(25(a,1),4731(a,1,2))]. 4741 K(x,L(y,z \ 1,z)) = K(x,y). [para(614(a,1),4731(a,1,2,3))]. 4742 K(x,(y \ 1) * z) = K(x,y \ z). [para(843(a,1),4731(a,1,2))]. 4743 K(x,(y \ 1) \ z) = K(x,y * z). [para(854(a,1),4731(a,1,2)),flip(a)]. 4744 K(x,T(y * (z \ 1),u)) = K(x,T(y / z,u)). [para(1099(a,1),4731(a,1,2))]. 4745 K(x,y / (z \ 1)) = K(x,y * z). [para(1183(a,1),4731(a,1,2)),flip(a)]. 4746 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(4731(a,1),1592(a,2,2))]. 4747 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(351(a,1),4741(a,1,2)),flip(a)]. 4748 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(4729(a,1),4442(a,1,2)),flip(a)]. 4749 L(x,x \ 1,K(y,z)) = x. [hyper(2348,a,4733,a)]. 4750 x \ K(y,z) != u * K(y,z) | u \ 1 = x. [para(4733(a,1),42(a,1)),flip(a)]. 4751 (1 / x) \ K(y,z) = x * K(y,z). [para(613(a,2),4733(a,1,1))]. 4752 (x / K(y,z)) \ 1 = K(y,z) / x. [hyper(773,a,4734,a),flip(a)]. 4753 K(x,y) * (1 / z) = K(x,y) / z. [para(72(a,1),4734(a,1,2)),flip(a)]. 4754 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(2517(a,2),4734(a,1,2)),flip(a)]. 4755 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(2174,a,4735,a)]. 4756 T(x \ K(y,z),K(z,y)) = K(y,z) * (x \ 1). [para(4735(a,1),1789(a,1,1))]. 4757 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)). [para(4735(a,1),2130(a,1,2))]. 4758 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4735(a,1),3500(a,1,2))]. 4759 K(x,y) * (K(y,x) / z) = z \ 1. [hyper(2140,a,4737,a)]. 4760 (K(x,y) / z) * K(u,L(w,z \ 1,K(x,y))) = K(x,y) * ((z \ 1) * K(u,w)). [para(4737(a,1),4587(a,1,1))]. 4762 K((x \ 1) * y,z) = K(z,y \ x). [hyper(230,a,2039,a(flip),b,4738,a),flip(a)]. 4763 K((1 / x) * y,z) = K(x \ y,z). [hyper(57,a,2596,a,b,4738,a)]. 4764 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(57,a,3695,a(flip),b,4738,a)]. 4765 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(5(a,1),4738(a,1,1)),flip(a)]. 4766 K((x \ 1) \ y,z) = K(x * y,z). [para(614(a,1),4738(a,1,1,1)),flip(a)]. 4768 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(230,a,1682,a(flip),b,4739,a),flip(a)]. 4769 K(x,(y \ K(z * ((u \ z) / z),y \ 1)) * (z / u)) = K(x,(z * ((u \ z) / z)) / y). [hyper(57,a,2767,a,b,4739,a)]. 4770 K(x,y * (1 / z)) = K(x,y / z). [hyper(57,a,2453,a,b,4739,a)]. 4771 K(x,y / (1 / z)) = K(x,y * z). [para(72(a,1),4739(a,1,2,2)),flip(a)]. 4772 T(x,y * (z \ 1)) = x * K(x,y / z). [para(4739(a,1),1592(a,2,2))]. 4773 T(x,(y \ 1) * z) = x * K(x,y \ z). [para(4742(a,1),1592(a,2,2))]. 4774 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [para(1845(a,2),4742(a,1,2,1))]. 4775 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [para(1847(a,1),4742(a,1,2,1)),flip(a)]. 4776 L(K(x,y * z),u \ 1,u) = K(x,(y \ 1) \ z). [hyper(230,a,4732,a,b,4743,a)]. 4777 K(x,T(y \ 1,y) \ z) = K(x,y * z). [para(616(a,2),4743(a,1,2,1))]. 4778 (x * K(y,z)) \ 1 = K(z,y) / x. [para(2166(a,1),4752(a,1,1))]. 4779 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(2140,a,4753,a)]. 4780 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(1705,a,4753,a)]. 4781 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(4753(a,1),589(a,1,1))]. 4783 (x * y) * (K(y,x) / z) = (y * x) * (1 / z). [para(4753(a,1),2559(a,1,2))]. 4784 T(K(x,y) / z,K(y,x)) = (1 / z) * K(x,y). [para(4753(a,1),3805(a,1,1))]. 4785 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(57,a,156,a(flip),b,4755,a),flip(a)]. 4786 (x \ 1) * (((x \ K(x,y)) \ K(x,y)) * z) = L(z,T(x,x \ 1),x \ K(x,y)). [para(4758(a,1),2944(a,1,2)),flip(a)]. 4787 (x \ K(y,z)) \ 1 = K(z,y) * x. [para(69(a,1),4759(a,1,2)),flip(a)]. 4788 K(x,y \ (z \ 1)) = K(z * y,x). [para(614(a,1),4762(a,1,1,1)),flip(a)]. 4789 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(4762(a,2),2063(a,1))]. 4790 K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * x),T(u,(1 / z) * y)). [hyper(57,a,2240,a(flip),b,4763,a)]. 4791 K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * T(x,(1 / z) * y)),u). [para(353(a,1),4763(a,1,1))]. 4792 K(x * (y \ 1),z) = K(x / y,z). [para(1062(a,1),4765(a,1,1)),flip(a)]. 4793 K(x * ((y \ 1) \ z),x) = K(y * (x * z),x). [hyper(57,a,3678,a(flip),b,4766,a)]. 4794 K((x \ K(x,y)) \ z,u) = K(((y * x) / y) * z,u). [para(2398(a,1),4766(a,1,1,1))]. 4795 K((x * K(y,x \ 1)) * z,u) = K(T(x \ 1,y) \ z,u). [para(2393(a,1),4766(a,1,1,1)),flip(a)]. 4796 x * K(y,x * (y \ 1)) = y * (x / y). [para(4768(a,2),1721(a,1,2))]. 4797 K(x,((y \ 1) * z) * (1 / u)) = K(x,((1 / y) * z) / u). [hyper(57,a,2928,a(flip),b,4770,a)]. 4798 1 / (x * K(y,z)) = K(z,y) / x. [hyper(621,a,4778,a)]. 4799 (x * K(y,z)) \ K(u,w) = (K(z,y) / x) * K(u,w). [para(4778(a,1),4735(a,1,1)),flip(a)]. 4800 (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). [para(4734(a,1),4785(a,1,1))]. 4801 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(623,a,4787,a)]. 4802 K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). [para(4787(a,1),4743(a,1,2,1))]. 4803 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(4787(a,1),4745(a,1,2,2))]. 4804 x \ T(x * y,z) = y * K(x * y,z). [para(4788(a,1),2014(a,2,2))]. 4805 K(x,K(y \ (z \ 1),u)) = K(x,K(z * y,u)). [para(4788(a,1),3753(a,1,2)),flip(a)]. 4806 K(x * (1 / y),z) = K(x / y,z). [hyper(57,a,1817,a,b,4792,a)]. 4807 K(x / (1 / y),z) = K(x * y,z). [para(72(a,1),4792(a,1,1,2)),flip(a)]. 4808 K(x / (y \ 1),z) = K(x * y,z). [para(614(a,1),4792(a,1,1,2)),flip(a)]. 4809 1 / (x * K(y,z \ 1)) = K(1 / z,y) / x. [para(1732(a,2),4798(a,2,1))]. 4810 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(4798(a,1),1646(a,1,1,2))]. 4811 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(4798(a,1),2663(a,1,2,1,2,2))]. 4812 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(4801(a,1),4792(a,1,1,2)),flip(a)]. 4813 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(230,a,1592,a,b,4746,a),flip(a)]. 4814 T(x,L(y,z,z \ 1)) != u | T(x,y) = u. [para(4746(a,2),1607(a,1))]. 4815 L(x,y,y \ 1) * T(z,x) = z * L(x,y,y \ 1). [para(4813(a,1),93(a,1,2))]. 4816 T(x,L(y,z \ 1,z)) = T(x,y). [para(614(a,1),4813(a,1,2,3))]. 4817 T(x,(y \ 1) * z) = T(x,y \ z). [para(843(a,1),4813(a,1,2))]. 4818 T(x,(y \ 1) \ z) = T(x,y * z). [para(854(a,1),4813(a,1,2)),flip(a)]. 4819 T(x,y * (z \ 1)) = T(x,y / z). [para(1097(a,1),4813(a,1,2))]. 4820 T(x,y / (z \ 1)) = T(x,y * z). [para(1183(a,1),4813(a,1,2)),flip(a)]. 4821 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [para(351(a,1),4816(a,1,2)),flip(a)]. 4822 T(x,(y \ a(z,u,z)) * w) = T(x,y \ w). [para(591(a,2),4817(a,1,2,1,2))]. 4823 T(x,(1 / y) * z) = T(x,y \ z). [para(613(a,2),4817(a,1,2,1))]. 4824 (L(x,y,z) \ 1) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ 1) * u). [para(4817(a,1),1170(a,1,2,2))]. 4825 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). [para(1845(a,2),4817(a,1,2,1))]. 4826 K(x,T(y,z \ u) * ((z \ 1) * u)) = K(x,((z \ 1) * u) * y). [para(4817(a,1),3914(a,1,2,1))]. 4827 T(x,(y \ 1) \ T(T(z,y),u)) = T(x,T(z,u) * y). [para(188(a,1),4818(a,2,2))]. 4828 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(57,a,4817,a(flip),b,4819,a),flip(a)]. 4829 T(x,y / (1 / z)) = T(x,y * z). [para(72(a,1),4819(a,1,2,2)),flip(a)]. 4830 T(x,y * (z \ a(u,w,u))) = T(x,y / z). [para(591(a,2),4819(a,1,2,2,2))]. 4831 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [para(1845(a,2),4819(a,1,2,2))]. 4832 T(x,y * ((z \ K(u,w)) * K(w,u))) = T(x,y / z). [para(4755(a,2),4819(a,1,2,2))]. 4833 T(x,y / (K(z,u) * w)) = T(x,y * (w \ K(u,z))). [para(4801(a,1),4819(a,1,2,2)),flip(a)]. 4834 T(x,x \ (y / (z \ 1))) = T(x,(x \ y) * z). [hyper(57,a,4014,a(flip),b,4820,a)]. 4835 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(4772(a,2),1607(a,1))]. 4836 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(4773(a,2),1607(a,1))]. 4837 K(x,T((y \ z) \ 1,y \ z) \ u) = K(x,T(u,z \ y) * (y \ z)). [para(2070(a,2),4777(a,2,2))]. 4838 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(72(a,1),4796(a,1,2,2,2)),flip(a)]. 4839 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [para(1710(a,2),4796(a,1,2))]. 4840 ((T(x,y) * z) \ 1) * K(x,y) = (x * z) \ 1. [para(2135(a,1),4800(a,1,1)),flip(a)]. 4841 T(x,y) / (z \ x) = z * K((z \ x) * z,y). [hyper(985,a,4804,a)]. 4842 (x / y) * K(y * (x / y),z) = T(x,z) / y. [hyper(902,a,4804,a),flip(a)]. 4843 (x \ y) * K(x * (x \ y),z) = x \ T(y,z). [para(5(a,1),4804(a,1,2,1)),flip(a)]. 4844 L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z). [para(4804(a,1),269(a,1,1))]. 4845 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(4804(a,1),803(a,1,1))]. 4846 x \ (L(y,z,x) * (x * z)) = (z * y) * K(x * (z * y),x * z). [para(653(a,1),4804(a,1,2))]. 4847 x \ T(x * y,z) = y * K(z,(x * y) \ 1). [para(1696(a,2),4804(a,2,2))]. 4848 (x \ T(x * y,z)) \ y = K(z,x * y). [para(4804(a,2),2160(a,1,1))]. 4849 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(4810(a,1),93(a,1,2)),flip(a)]. 4850 T(x,(y \ 1) / T(z,u)) = T(x,y \ T(z \ 1,u)). [para(1845(a,2),4828(a,2,2,2))]. 4851 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(1807(a,1),4789(a,1))]. 4853 T(x,y * (z \ a(u,w,u))) != v5 | T(x,y / z) = v5. [para(591(a,2),4835(a,1,2,2,2))]. 4856 T(x,(y \ 1) / z) != u | T(x,y \ (z \ 1)) = u. [para(4819(a,1),4836(a,1))]. 4858 K(x / y,x) != z | K(y \ x,x) = z. [para(4792(a,1),4851(a,1))]. 4859 K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)). [para(614(a,1),4744(a,1,2,1,2)),flip(a)]. 4860 K(x,T((1 / y) * z,u)) = K(x,T(y \ z,u)). [para(72(a,1),4747(a,1,2,1,1)),flip(a)]. 4861 K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). [para(614(a,1),4747(a,1,2,1,1)),flip(a)]. 4862 K(x,T(T(y \ 1,z) \ u,w)) = K(x,T(T(y,z) * u,w)). [para(1845(a,2),4747(a,1,2,1,1))]. 4863 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(230,a,3,a(flip),b,4748,a),flip(a)]. 4865 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(57,a,4726,a(flip),b,4863,a)]. 4866 a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). [hyper(230,a,4572,a,b,4865,a),flip(a)]. 4867 K(x * a(y,z,u),x) = a(y,z,K(u,x)). [hyper(230,a,1689,a,b,4865,a)]. 4868 a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). [hyper(230,a,1974,a(flip),b,4865,a),flip(a)]. 4869 K(a(x,y,z),y) = 1. [hyper(57,a,2523,a(flip),b,4865,a),flip(a)]. 4870 K(a(x,y,y),z) = 1. [hyper(57,a,2521,a(flip),b,4865,a),flip(a)]. 4871 K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K((z * u) \ y,x)). [hyper(2088,a,4865,a(flip))]. 4872 a(x,y,K(z,u)) * (u * a(x,y,z)) = a(x,y,z) * u. [para(4865(a,2),878(a,1,1))]. 4873 a(x,y,K(z,u)) * (u * a(x,y,z)) != w | a(x,y,z) * u = w. [para(4865(a,2),879(a,1,1))]. 4874 x * a(y,z,K(u,x)) != w | T(x,a(y,z,u) \ x) = w. [para(4865(a,2),1673(a,1,2))]. 4875 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(4865(a,2),2129(a,1,1))]. 4876 (x * (y * a(z,u,w))) * a(z,u,K(w,y)) = x * (a(z,u,w) * y). [para(4865(a,2),2615(a,1,2))]. 4877 ((x * y) * z) * a(x,y,K(z,u)) = (x * (y * z)) * T(a(x,y,z),u). [para(4865(a,2),2474(a,1,2))]. 4878 (x * y) * a(z,u,K(w,x)) = x * (y * K(a(z,u,w),x)). [para(4865(a,2),3101(a,1,2))]. 4879 T(x / T(y,a(z,u,w)),y) = (y \ x) * a(z,u,K(w,y)). [para(4865(a,2),3120(a,2,2))]. 4880 T(a(x,y,z),y) = a(x,y,z). [hyper(50,a,4869,a)]. 4881 T(a(x,y,y),z) = a(x,y,y). [hyper(50,a,4870,a)]. 4882 a(x,y,z) * y = y * a(x,y,z). [para(4880(a,1),93(a,1,2)),flip(a)]. 4883 x / a(y,x,z) = a(y,x,z) \ x. [para(4880(a,1),697(a,1,2))]. 4884 T(x,a(y,z,z)) = x. [hyper(48,a,4881,a)]. 4885 a(x,y,y) * z = z * a(x,y,y). [para(4881(a,1),93(a,1,2)),flip(a)]. 4886 (a(x,y,y) \ z) * a(x,y,y) = z. [para(4881(a,1),179(a,1,2))]. 4887 x / a(y,z,z) = a(y,z,z) \ x. [para(4881(a,1),208(a,1,2))]. 4888 x / a(y,z,z) != u | a(y,z,z) \ x = u. [para(4881(a,1),239(a,1,2))]. 4889 T(x,a(y,z,z)) != u | x = u. [para(4884(a,1),43(a,2))]. 4890 a(x,y,y) \ z != u | z / a(x,y,y) = u. [para(4884(a,1),199(a,1)),flip(a)]. 4891 a(x,y,y) * z != u | z * a(x,y,y) = u. [para(4884(a,1),216(a,1,2))]. 4892 x / (a(y,x,z) * x) = x \ (a(y,x,z) \ x). [para(4883(a,1),2293(a,2,2))]. 4893 x * (a(y,z,z) * u) = x * (u * a(y,z,z)). [hyper(52,a,4885,a)]. 4894 K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x). [hyper(230,a,4724,a,b,4867,a)]. 4896 K(x / (1 / y),1 / y) / y = x / (x / (1 / y)). [hyper(57,a,1639,a,b,4780,a),flip(a)]. 4897 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(4781(a,1),2609(a,1,1))]. 4898 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,x \ 1)). [para(1933(a,1),4809(a,1,2)),flip(a)]. 4900 T(x,y * T(1 / z,u)) = T(x,y / T(z,u)). [para(613(a,2),4831(a,1,2,2,1))]. 4901 T(x,y) / (z \ x) = z * K(x,T(y,z)). [para(2238(a,1),4841(a,2,2))]. 4902 T(x,y) / (z \ x) = K(x,y) * z. [hyper(230,a,1979,a(flip),b,4901,a),flip(a)]. 4903 K(x,y) * (x / z) = T(x,y) / z. [para(72(a,1),4902(a,1,2)),flip(a)]. 4904 T(x,y) / (K(z,u) * x) = K(x,y) * K(u,z). [para(2129(a,1),4902(a,1,2))]. 4905 T(x,y) / T(z \ 1,x * z) = K(x,y) * ((z \ 1) \ x). [para(2735(a,2),4902(a,1,2))]. 4906 K(x,y) * (T(y,x) / z) = y / z. [hyper(2140,a,4903,a)]. 4907 x * (K(y,x) * (y / L(x,z,u))) = (y / L(x,z,u)) * x. [para(4903(a,2),1358(a,1,2))]. 4908 T(x,y) * (x / z) = x * (T(x,y) / z). [para(4903(a,1),1596(a,1,2)),flip(a)]. 4909 T(x,y) \ (T(x,y) / z) = x \ (x / z). [para(4903(a,1),1820(a,1,2))]. 4910 T(x,y) * (T(y,x) / z) = x * (y / z). [para(4903(a,1),2147(a,1,2))]. 4911 K(x,y) * (T(x,y) / z) = T(T(x,y),y) / z. [para(2233(a,1),4903(a,1,1))]. 4912 T(T(x,y) / z,x) = K(x,y) * (z \ x). [para(4903(a,1),3452(a,1,1))]. 4913 T(T(x,y) / z,K(y,x)) = (x / z) * K(x,y). [para(4903(a,1),3805(a,1,1))]. 4914 x / (y \ T(x,z)) = K(z,x) * y. [para(69(a,1),4906(a,1,2)),flip(a)]. 4915 K(x,y / x) * ((x \ y) / z) = (y / x) / z. [para(95(a,1),4906(a,1,2,1))]. 4916 (K(x,y) * z) \ y = z \ T(y,x). [hyper(153,a,4914,a)]. 4917 x / (y \ T(x,(z * x) / u)) = K(u \ (z * x),T(x,z)) * y. [para(3910(a,2),4914(a,2,1))]. 4918 x / (y \ T(x,z)) != u | K(z,x) * y = u. [para(4916(a,1),237(a,1,2))]. 4919 ((x \ y) * z) \ T(y,x) = ((y / x) * z) \ y. [para(2443(a,1),4916(a,1,1)),flip(a)]. 4920 T(x,K(y,z)) \ T(y,z) = (x * K(z,y)) \ y. [para(3809(a,1),4916(a,1,1)),flip(a)]. 4921 (x \ y) \ (T(y / x,x) / z) = (y / x) \ ((y / x) / z). [para(95(a,1),4909(a,1,1))]. 4923 T(T(x,y) / L(x,z,u),x) = T(x,y) * (L(x,z,u) \ 1). [hyper(1966,a,4912,a(flip)),flip(a)]. 4924 x * T(T(x,y) / z,x) = T(x,y) * (z \ x). [para(4912(a,2),1596(a,1,2))]. 4925 (x / y) * K(x,T(z,y)) = T(x,z) / y. [para(3892(a,1),4842(a,1,2))]. 4926 a(x,T(y,z) / u,K(y,w)) = a(x,y / u,K(y,w)). [para(4925(a,1),4476(a,1,2))]. 4927 (x \ y) * K(y,z) = x \ T(y,z). [para(5(a,1),4843(a,1,2,1))]. 4928 x \ T(y,T(z,x)) = K(y,z) * (x \ y). [hyper(3952,a,4927,a),flip(a)]. 4929 L(x \ 1,x,y) * T(y,z) = x \ T(y,z). [hyper(2548,a,4927,a)]. 4930 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(2174,a,4927,a)]. 4931 (K(x,y) * z) \ y = (z \ y) * K(y,x). [hyper(230,a,4916,a,b,4927,a)]. 4932 (x \ y) \ (x \ T(y,z)) = K(y,z). [hyper(101,a,4927,a)]. 4933 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(17(a,2),4927(a,1,1))]. 4935 (x \ T(y,z)) * L(u,K(y,z),x \ y) = (x \ y) * (K(y,z) * u). [para(4927(a,1),81(a,1,1))]. 4936 (x \ (y * (z * u))) * K(y * (z * u),y * z) = x \ (L(u,z,y) * (y * z)). [para(653(a,1),4927(a,2,2))]. 4937 x \ T(y,z \ y) = (x \ y) * K(z,y). [para(1719(a,1),4927(a,1,2)),flip(a)]. 4938 T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y). [para(4927(a,1),1789(a,1,1))]. 4940 (T(x,y) / z) \ x = z * K(y,x). [hyper(57,a,156,a(flip),b,4930,a),flip(a)]. 4941 (x \ (y \ z)) * K(y,z / y) = x \ (z / y). [para(95(a,1),4930(a,1,1,2))]. 4942 K(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = R(z \ T(y,x),K(x,y),K(x,y) \ 1) / (z \ y). [para(4930(a,1),1935(a,1,2)),flip(a)]. 4943 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ T(y,z),y)). [para(4930(a,1),3772(a,1,1))]. 4944 x / (y * K(z,x)) = T(x,z) / y. [hyper(160,a,4940,a)]. 4945 ((x * y) / z) \ (y * x) = z * K(y,y * x). [para(589(a,1),4940(a,1,1,1))]. 4946 T(x,y) / (z * K(x,y)) = x / z. [para(2167(a,1),4944(a,1,2)),flip(a)]. 4947 T(x,y) / (z / T(y,x)) = x / (z / y). [para(2471(a,1),4944(a,1,2)),flip(a)]. 4948 T(x,y) / (z * (x * y)) = x / (z * (y * x)). [para(2615(a,1),4944(a,1,2)),flip(a)]. 4949 x / (y * K(x * K(z,x),z)) = (x * K(z,x)) / y. [para(1594(a,1),4946(a,1,1))]. 4950 x / (y * K(x,z)) = K(z,x) * (x / y). [para(4946(a,1),4906(a,1,2)),flip(a)]. 4951 (x \ y) / K(z,y) = (K(z,y) * x) \ y. [hyper(230,a,2166,a,b,4931,a)]. 4952 L(x \ y,x,K(z,y)) = ((K(z,y) * x) \ y) * K(z,y). [hyper(1726,a,4937,a)]. 4953 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(1637(a,1),4937(a,1,2))]. 4954 K(x,(y / T(z,u)) \ T(T(u,z),(y / T(z,u)) \ 1)) = K(x,u / (y / z)). [para(4947(a,1),2607(a,2,2))]. 4956 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(57,a,1803,a(flip),b,4953,a),flip(a)]. 4957 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [hyper(29,a,2331,a,b,4929,a)]. 4959 L(L(x \ 1,x,y),T(y,z),T(y,z) \ 1) = (x \ T(y,z)) * (T(y,z) \ 1). [para(4929(a,1),1098(a,1,1)),flip(a)]. 4960 T(x,y) / L(z \ 1,z,x) = T(x,y) * z. [para(4957(a,1),254(a,1,2))]. 4961 L(x \ 1,x,y) * L(L(x \ 1,x,T(y,z)) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),x,T(y,z)). [para(4957(a,1),4316(a,1,1))]. 4962 L(x \ 1,x,y) * K(z,y) = (T(y,z) * x) \ y. [para(4960(a,1),4940(a,1,1)),flip(a)]. 4963 T(((x / y) \ 1) * K(x * ((x / y) \ 1),x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(1001(a,1),4845(a,2,2))]. 4964 T(x * K(x * y,z),T(y,x)) = T(y,x) \ T(x * T(y,x),z). [para(3953(a,1),4845(a,1,1,2))]. 4965 x * K(y,L(x \ (z \ 1),x,z)) = z \ T(z * x,y). [para(222(a,2),4847(a,2,2,2)),flip(a)]. 4966 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(4503,a,4875,a)]. 4967 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(230,a,1647,a,b,4966,a)]. 4968 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(4966(a,2),1592(a,2,2)),flip(a)]. 4969 a(x,y,K(z,u)) * z = T(z,a(x,y,u)). [para(4966(a,2),1610(a,2,1)),flip(a)]. 4970 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(4966(a,2),1607(a,1,2))]. 4971 a(x,y,K(z,u)) * (z * w) = T(z,a(x,y,u)) * w. [para(4966(a,2),1778(a,1,1))]. 4972 a(x,y,K(z,u)) * (z * w) != v5 | T(z,a(x,y,u)) * w = v5. [para(4966(a,2),1824(a,1,1))]. 4973 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [para(4966(a,2),2472(a,1,2))]. 4974 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(4966(a,2),2519(a,1,2))]. 4975 (x \ K(y,z)) * a(u,w,K(x \ 1,y)) = T(x \ K(y,z),a(u,w,y)). [para(4388(a,1),4968(a,1,2,3))]. 4976 T(x,a(y,z / u,u)) = x * a(y,z,K(x,u)). [para(4649(a,1),4968(a,1,2)),flip(a)]. 4977 x / (x * a(y,x,z)) = x \ (a(y,x,z) \ x). [para(4882(a,1),4892(a,1,2))]. 4978 T(x,y * (z * ((1 / u) / z))) = T(x,y / T(u,z \ 1)). [para(1024(a,1),4900(a,1,2,2))]. 4979 (K(x,y) * K(z,u)) * K((K(u,z) * x) \ T(x,y),K(u,z) * x) = (K(u,z) * x) \ T(x,y). [para(4904(a,1),2180(a,1,1))]. 4980 L(x \ y,x,y \ z) = ((z / y) * x) \ z. [hyper(691,a,4919,a)]. 4981 (x \ (y * (z * x))) \ T(y * z,x) = (((y * z) / x) * L(x,z,y)) \ (y * z). [para(928(a,1),4919(a,1,1))]. 4982 ((x / y) * z) \ x != u | L(z \ y,z,y \ x) = u. [para(4919(a,1),691(a,1))]. 4983 x / L(y \ z,y,z \ x) = (x / z) * y. [hyper(160,a,4980,a(flip))]. 4984 L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z. [para(4(a,1),4980(a,1,1))]. 4985 L(x \ y,x,y \ z) \ z = T((z / y) * x,z). [para(4980(a,2),693(a,2,1)),flip(a)]. 4986 x / L(y,z,(z * y) \ x) = (x / (z * y)) * z. [para(4(a,1),4983(a,1,2,1))]. 4987 T(x \ T(y,z),K(z,y)) = (x * K(z,y)) \ y. [hyper(57,a,4471,a,b,4920,a)]. 4988 (T(x,y) / z) * x = T(x,y) * (z \ x). [hyper(216,a,4924,a)]. 4989 T(x,y) * ((T(x,y) / z) \ x) = T(z,T(x,y) \ 1) * x. [para(1045(a,2),4988(a,1,1)),flip(a)]. 4990 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(230,a,4845,a,b,4933,a)]. 4991 (x \ (y \ z)) * K(y,z) = x \ (z / y). [para(1728(a,1),4941(a,1,2))]. 4992 ((x * y) / z) \ (y * x) = z * K(y,x). [para(1647(a,1),4945(a,2,2))]. 4993 ((x * y) / a(K(y,x),z,u)) \ (y * x) = K(y,x) * a(K(y,x),z,u). [hyper(230,a,1458,a(flip),b,4992,a),flip(a)]. 4994 (x * y) / (z * K(x,y)) = (y * x) / z. [hyper(160,a,4992,a)]. 4995 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(15(a,2),4992(a,1,1))]. 4996 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(69(a,1),4992(a,1,1)),flip(a)]. 4997 (x * y) / (z \ T(x,y)) = (y * x) / (z \ x). [para(4927(a,1),4994(a,1,2))]. 4998 ((x \ 1) * (y * x)) \ T(y,x) = y / ((x \ 1) * (x * y)). [hyper(57,a,1224,a(flip),b,4948,a)]. 4999 (x * K(y,z)) \ z = K(z,y) * (x \ z). [hyper(57,a,4938,a(flip),b,4987,a),flip(a)]. 5000 K(x,y) * ((z \ 1) \ x) = (z \ K(y,x)) \ x. [para(4735(a,1),4999(a,1,1)),flip(a)]. 5001 K(x,L((y \ 1) * z,u,w)) = K(x,L(y \ z,u,w)). [para(843(a,1),4740(a,1,2,1))]. 5002 K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). [para(1183(a,1),4740(a,1,2,1)),flip(a)]. 5003 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(4776(a,1),1281(a,1))]. 5004 K(x,K(y,(z \ 1) \ u)) != w | K(x,K(y,z * u)) = w. [para(4776(a,1),1889(a,1,2))]. 5005 K(x,T(y \ 1,y) \ z) != u | K(x,y * z) = u. [para(616(a,2),5003(a,1,2,1))]. 5007 K(x,T(y,z) \ u) != w | K(x,T(y \ 1,z) * u) = w. [para(1847(a,1),5003(a,1,2,1))]. 5008 K(x,T(y / (z \ 1),z)) != u | K(x,z * y) = u. [para(3884(a,2),5003(a,1))]. 5009 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. [para(4787(a,1),5003(a,1,2,1))]. 5010 K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(u,z) * y) * w) = v5. [para(4801(a,1),5003(a,1,2,1))]. 5011 (x \ y) / T(y,z) = (T(y,z) * x) \ y. [hyper(57,a,2528,a(flip),b,4962,a)]. 5012 (x \ (y / x)) / (x \ y) = (T(y,x) * x) \ y. [hyper(57,a,2586,a,b,5011,a)]. 5013 (T(x,y) * ((T(x,y) * y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). [para(5011(a,1),4184(a,1,1,2))]. 5014 (x \ (y / x)) / (x \ y) = T(y * x,x) \ y. [para(652(a,2),5012(a,2,1))]. 5015 (x \ (y / x)) / (x \ y) = y / (y * x). [hyper(230,a,815,a(flip),b,5014,a),flip(a)]. 5016 T(x,a(y,z / u,u)) != w | T(x,a(y,z,u)) = w. [para(4976(a,2),4970(a,1))]. 5017 L(x,y,z / (y * x)) = L(x,y,(y * x) \ z). [hyper(230,a,86,a,b,4984,a)]. 5018 L(x,y,(y * x) \ (z * K(y,x))) = ((z / (x * y)) * y) \ (z * K(y,x)). [para(2616(a,1),4984(a,2,1,1))]. 5019 x / L(y,T(z,y \ 1),(y * z) \ x) = (x / (T(z,y \ 1) * y)) * T(z,y \ 1). [para(1028(a,1),4986(a,1,2,3,1))]. 5020 (((x / (y * z)) * y) * z) \ (x * z) = L(z,y,(y * z) \ x). [para(4986(a,1),1357(a,1,1,1))]. 5021 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(4859(a,1),5008(a,1))]. 5022 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(652(a,1),5021(a,1,2))]. 5023 K(x,T(T(y,z),u) * z) != w | K(x,z * T(y,u)) = w. [para(18(a,1),5022(a,1,2,1))]. 5026 K(x,K(((y * z) / y) * (x \ u),w)) != v5 | K((z \ K(z,y)) \ u,K(x,w)) = v5. [para(4794(a,1),4033(a,1,2))]. 5027 K(x,(K(y * z,y) * u) \ w) = K(x,(u \ K(y,z)) * w). [para(1647(a,1),4802(a,2,2,1,2))]. 5028 K(x,y * (z \ K(x,u))) = K(x,y / z). [hyper(3638,a,4803,a),flip(a)]. 5029 K(x,y / (a(z,u,z) * w)) = K(x,y * ((K(v5,v6) * w) \ K(v5,v5 * v6))). [para(2657(a,1),4803(a,1,2,2))]. 5030 K(x,y * (z \ K(x,u))) != w | K(x,y / z) = w. [para(4803(a,1),3638(a,1))]. 5031 K(x,y / T(z / u,z)) = K(x,y * ((u \ z) \ K(x,w))). [hyper(57,a,2662,a(flip),b,5028,a),flip(a)]. 5032 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(136(a,1),5030(a,1,2,2,2))]. 5033 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(636(a,1),5030(a,1,2,2))]. 5034 K(x,y * T(z \ 1,u)) != w | K(x,y / T(z,u)) = w. [para(1845(a,2),5032(a,1,2,2))]. 5035 T(x * L(x \ y,z,z \ 1),y) = x * L(x \ y,z,z \ 1). [hyper(57,a,4217,a(flip),b,4815,a)]. 5036 T(x \ 1,T((x \ 1) \ T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(3623,a,4827,a)]. 5037 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(2038(a,1),4838(a,2,2))]. 5038 K(x,y \ ((z \ u) * (w / (z \ u)))) = K(x,y \ T(w,u \ z)). [para(4839(a,1),2932(a,1,2,2))]. 5039 T(x,y \ T(z \ 1,u)) = T(x,y \ (T(z,u) \ 1)). [hyper(4856,a,4850,a),flip(a)]. 5040 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(4865(a,2),4866(a,2,1))]. 5041 K(x * (L(y,z,u) \ y),x) = K(x,a(u,z,y)) \ a(w,v5,w). [hyper(230,a,2149,a(flip),b,4894,a),flip(a)]. 5042 K(x * y,1 / y) / y = x / (x / (1 / y)). [para(4807(a,1),4896(a,1,1))]. 5043 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(5(a,1),5042(a,1,1,1))]. 5044 1 / (x \ K(y,x \ 1)) = x * K(1 / x,y). [hyper(57,a,2610,a(flip),b,4898,a),flip(a)]. 5045 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(1898(a,1),5044(a,1,2))]. 5046 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(2019(a,1),5045(a,2,2))]. 5047 a(x,T(y,z) / u,K(y,w)) = a(x,u \ y,K(y,w)). [hyper(230,a,4477,a(flip),b,4926,a),flip(a)]. 5048 (x * K(y,x)) / z = x / (z * K(x,y)). [para(2249(a,1),4949(a,1,2,2)),flip(a)]. 5049 (x * K(y,x)) / z = K(y,x) * (x / z). [hyper(230,a,4950,a(flip),b,5048,a),flip(a)]. 5051 (x / (x / y)) / z = K(y \ x,y) * (y / z). [para(1636(a,2),5049(a,1,1))]. 5052 K(x,(y / (y / z)) / u) = K(x,K(y,z) * (z / u)). [para(5051(a,2),2458(a,1,2))]. 5053 T(K(x,y) * K(z * K(x,y),u),z) = K(x,T(y,z)) * K(K(x,y) * z,u). [para(1974(a,2),4990(a,2,1))]. 5054 K(x,(y * (z / y)) / u) = K(x,K(y,z) * (z / u)). [para(756(a,1),5052(a,1,2,1))]. 5055 L(x * K(T(y,z) * x,z),T(y,z),z) = (y * z) \ ((T(y,z) * x) * z). [para(93(a,1),4844(a,2,1))]. 5056 L(x \ y,x,K(z,y)) / K(z,y) = (K(z,y) * x) \ y. [hyper(105,a,4952,a(flip))]. 5057 x * K(L(y,x,z),x \ (z \ 1)) = z \ T(z * x,y). [para(4624(a,2),4965(a,1,2))]. 5058 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(230,a,2472,a(flip),b,4995,a),flip(a)]. 5059 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(160,a,5058,a),flip(a)]. 5060 R(L(x,y,z),x,u) \ (u * (x * L(x,y,z))) = x * T(u,L(x,y,z) * x). [para(192(a,1),5058(a,1,2,2))]. 5061 R(x,y,z) = (x * (z * (x * y))) / (x * (y * T(z,x * y))). [para(5058(a,1),1129(a,1,2,2)),flip(a)]. 5062 R(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,a(x,y,z) * x). [para(1458(a,1),5058(a,1,2,2))]. 5063 L(x \ y,x,K(z,y)) = x \ y. [hyper(31,a,4951,a,b,5056,a),flip(a)]. 5064 L(x \ y,x,K(y,z)) = x \ y. [hyper(57,a,2598,a(flip),b,5063,a)]. 5065 L(x \ (y * z),x,K(z,y)) = x \ (y * z). [para(1727(a,1),5063(a,1,3))]. 5067 (K(x,y) * z) \ (x * y) = z \ (y * x). [hyper(57,a,883,a(flip),b,5065,a)]. 5068 a(x,y,z) = (K(z,x * y) * (x * (y * z))) \ (z * (x * y)). [hyper(230,a,9,a,b,5067,a)]. 5069 (x * y) / (z \ (y * x)) = K(x,y) * z. [hyper(160,a,5067,a)]. 5070 (((x * y) / x) * z) \ (x * y) = (y * z) \ (y * x). [para(2371(a,1),5067(a,1,1))]. 5071 (L(x,y,z) * y) \ (x * y) = (y * L(x,y,z)) \ (y * x). [para(3173(a,1),5067(a,1,1)),flip(a)]. 5072 K(x,y) * ((y * x) / z) = (x * y) / z. [para(72(a,1),5069(a,1,2)),flip(a)]. 5073 K(x,y) * (((y * x) / z) / x) = ((x * y) / z) / x. [para(5072(a,1),3427(a,1,1)),flip(a)]. 5074 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(2465,a,5057,a(flip))]. 5075 T(x * y,(x * y) \ z) = T(x * y,y \ (x \ z)). [para(222(a,1),5074(a,1,2))]. 5076 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(5074(a,1),294(a,1,2)),flip(a)]. 5077 T(x * y,L(z,x,y)) = T(T(y * x,z),y). [para(5074(a,1),650(a,1,1)),flip(a)]. 5078 (x * y) \ T(x * y,z) = K(x * y,L(z,y,x)). [para(5074(a,1),1589(a,2,2)),flip(a)]. 5079 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(108,a,5076,a(flip))]. 5080 L(x,y,z) \ (z * (y * x)) != u | T(z * y,x) = u. [para(5076(a,2),243(a,1,1))]. 5081 (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). [para(5076(a,2),2513(a,1,1)),flip(a)]. 5082 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(3863(a,1),5076(a,2,1,2)),flip(a)]. 5083 (x * (a(y,z,z) * u)) / T(x * u,a(y,z,z)) = L(a(y,z,z),u,x). [para(4885(a,2),5076(a,2,1,2)),flip(a)]. 5084 T(x * y,L(z,x,y)) = T(x * y,z). [hyper(230,a,650,a(flip),b,5077,a),flip(a)]. 5086 T((x / y) * (x \ 1),((x \ 1) * (x / y)) \ 1) = T((x / y) * (x \ 1),y). [para(619(a,1),5084(a,1,2))]. 5087 L(x,y,y \ z) * T((z / y) * y,x) = (z / y) * (y * x). [para(2836(a,1),5079(a,1,1))]. 5088 K(x * y,L(z,y,x)) = K(x * y,z). [hyper(1634,a,5078,a),flip(a)]. 5089 a(x,y,K(z,x * y)) = 1. [hyper(99,a,5088,a(flip),b,4578,a),flip(a)]. 5090 K(x,L(y,z,x / z)) = K((x / z) * z,y). [para(7(a,1),5088(a,1,1))]. 5091 K((x * y) * z,(x * y) * L(z,y,x)) = 1. [hyper(4618,a,5089,a)]. 5092 K(x,L(y,z,x / z)) = K(x,y). [para(7(a,1),5090(a,2,1))]. 5093 K(x,(x / y) * z) = K(x,y \ z). [hyper(1770,a,5092,a)]. 5094 K(x,L(y,z \ x,z)) = K(x,y). [para(69(a,1),5092(a,1,2,3))]. 5095 K(x,x \ ((x / y) * z)) = K(x,y \ z). [para(299(a,1),5092(a,1,2))]. 5096 K(x * y,L(z,x,y)) = K(x * y,z). [para(2835(a,1),5092(a,1,2))]. 5097 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [para(298(a,1),5094(a,1,2)),flip(a)]. 5098 K(x,T((y \ x) \ z,u)) = K(x,T(x \ (y * z),u)). [para(392(a,1),5094(a,1,2)),flip(a)]. 5100 K(x,(x / y) * z) != u | K(x,x * (y \ z)) = u. [para(5093(a,2),1769(a,1))]. 5101 K(x,K(y,(y / z) * u)) != w | K(y,K(x,z \ u)) = w. [para(5093(a,2),3739(a,1,2))]. 5102 K(x,y \ T(z,x / y)) = K(x,x \ (z * (x / y))). [para(93(a,1),5095(a,1,2,2)),flip(a)]. 5103 K(x,x \ ((y \ x) * z)) = K(x,y \ z). [hyper(57,a,3538,a(flip),b,5097,a),flip(a)]. 5104 K(x,(x / y) \ z) = K(x,x \ (y * z)). [para(72(a,1),5103(a,1,2,2,1)),flip(a)]. 5105 K(x \ ((y \ x) * z),x) = u / (K(x,y \ z) * u). [para(5103(a,1),2131(a,1,2,1)),flip(a)]. 5106 K(x * (x \ ((y \ x) * z)),x) * K(u,K(x,y \ z)) = K(x * (x \ ((y \ x) * z)),T(x,u)). [para(5103(a,1),2006(a,1,2,2))]. 5107 K((x * y) * z,x * (y * z)) = 1. [para(81(a,1),5091(a,1,2))]. 5108 K(a(x,y,z),x * (y * z)) * u = 1 * u. [para(5107(a,1),3213(a,1,1)),flip(a)]. 5109 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(98,a,5108,a(flip),b,2165,a(flip)),flip(a)]. 5112 a(x,y,z) = R(x \ R(x,y,z),x,y * z). [hyper(230,a,808,a,b,5109,a),flip(a)]. 5113 a(x,y,z) \ ((x * y) * z) = x * (y * z). [hyper(153,a,5109,a(flip))]. 5114 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(108,a,5109,a(flip))]. 5115 (x * y) / (z * ((z \ x) * y)) = a(z,z \ x,y). [para(5(a,1),5109(a,2,1,1)),flip(a)]. 5116 ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). [para(5(a,1),5109(a,2,2,2)),flip(a)]. 5117 a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)). [para(5109(a,2),232(a,1,1))]. 5118 ((x * a(x,y,z)) * u) / (a(x,y,z) * (x * u)) = a(a(x,y,z),x,u). [para(1458(a,1),5109(a,2,1,1)),flip(a)]. 5119 ((x * y) * z) / ((y * z) * x) = a(x,y,z) * K(x,y * z). [para(5109(a,2),2625(a,1,1)),flip(a)]. 5120 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(5113(a,1),237(a,1,2))]. 5121 T((x * (y * z)) * a(x,y,z),u) / a(x,y,z) = a(x,y,z) \ T((x * y) * z,u). [para(5113(a,1),906(a,1,1,1,1))]. 5122 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [para(5113(a,1),758(a,1,1))]. 5123 K(a(x,y,z),u) * ((x * y) * z) = T(a(x,y,z),u) * (x * (y * z)). [para(5113(a,1),1777(a,1,2)),flip(a)]. 5124 a(x,y,y \ z) * (x * z) = (x * y) * (y \ z). [para(5(a,1),5114(a,1,2,2))]. 5126 a(x,x \ y,y \ z) \ z = x * ((x \ y) * (y \ z)). [para(5115(a,1),232(a,1,1))]. 5127 a(K(x,T(y,z)),z,z \ u) * (K(x,T(y,z)) * u) = (z * K(x,y)) * (z \ u). [para(3863(a,1),5124(a,2,1))]. 5128 T(x * y,y \ (x \ z)) = T(x * y,z). [hyper(791,a,5075,a),flip(a)]. 5129 L(L(x,y,z),u,w) \ (z * (y * L(x,u,w))) != v5 | T(z * y,L(x,u,w)) = v5. [para(25(a,1),5080(a,1,1))]. 5130 K(x,T(x \ (y * z),z)) = K(x,z / (y \ x)). [hyper(57,a,3867,a(flip),b,5098,a),flip(a)]. 5131 K(x,y / (z \ x)) = K(x,x \ (y * z)). [hyper(57,a,4039,a(flip),b,5130,a),flip(a)]. 5132 K(x,x \ (y * (x / z))) = K(x,y / z). [para(72(a,1),5131(a,1,2,2)),flip(a)]. 5133 K(x \ ((y \ x) * z),x) = K(y \ z,x). [hyper(230,a,2131,a(flip),b,5105,a),flip(a)]. 5134 K(x \ ((y \ x) * z),x) != u | K(y \ z,x) = u. [para(5105(a,2),1783(a,1))]. 5135 K(x \ (y \ x),x) = K(y \ 1,x). [para(3(a,1),5133(a,1,1,2))]. 5136 K((x / y) \ z,x) = K(x \ (y * z),x). [para(72(a,1),5133(a,1,1,2,1)),flip(a)]. 5137 T(T(x,y),x \ (z \ x)) = (K(z \ 1,x) * y) \ (x * y). [para(5135(a,1),3561(a,1,1,1)),flip(a)]. 5138 K((x \ y) \ z,y) = K(y \ (x * z),y). [hyper(57,a,3491,a(flip),b,5136,a)]. 5139 K(x \ (y * (z * x)),x) = K(x * ((y \ x) \ z),x). [hyper(57,a,3674,a(flip),b,5138,a),flip(a)]. 5140 K(x \ (y * T(z,x \ y)),x) = K(z / (y \ x),x). [hyper(57,a,2071,a(flip),b,5138,a),flip(a)]. 5141 R(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. [para(808(a,2),5120(a,1))]. 5142 K(x * ((y \ x) \ z),x) = K(y * z,x). [hyper(57,a,2576,a(flip),b,5139,a),flip(a)]. 5143 K(x * (T(y,x) \ z),x) = K((y \ x) * z,x). [para(693(a,2),5142(a,1,1,2,1))]. 5144 K((x \ y) * z,y) = K(y * (x \ z),y). [hyper(57,a,4667,a(flip),b,5143,a),flip(a)]. 5145 L(x,y,z \ (z / x)) * ((z \ (z / x)) * y) = ((z \ (z / x)) * (y * x)) * K(x,y). [para(2466(a,1),5081(a,1,2)),flip(a)]. 5146 (x * (y * a(z,u,w))) * a(z,u,K(w,x * y)) = L(a(z,u,w),y,x) * (x * y). [para(4865(a,2),5081(a,1,2))]. 5147 x \ y != z * (u * ((z * u) \ y)) | a(z,u,(z * u) \ y) = x. [para(5117(a,1),42(a,1)),flip(a)]. 5148 x * (a(K(x,y),z,(K(x,y) * z) \ u) \ u) = T(x,y) * (z * ((K(x,y) * z) \ u)). [para(5117(a,2),1596(a,1,2))]. 5149 a(x,x \ y,y \ z) \ z = y * L(y \ z,x \ y,x). [hyper(230,a,283,a,b,5126,a),flip(a)]. 5150 x * (a(K(x,y),K(x,y) \ z,z \ u) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). [para(5126(a,2),1596(a,1,2))]. 5151 T(a(x,x \ y,y \ z),u) * (x * ((x \ y) * (y \ z))) != w | K(a(x,x \ y,y \ z),u) * z = w. [para(5126(a,1),1833(a,1,2))]. 5152 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(57,a,3305,a(flip),b,4764,a),flip(a)]. 5154 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(5(a,1),5152(a,2,1))]. 5155 K(K(x,y \ 1) * (y * z),u) = K(T(y \ 1,x) \ z,u). [para(4029(a,1),4795(a,1,1))]. 5156 K(x,((1 / y) * z) / u) = K(x,((y \ 1) * z) / u). [hyper(5033,a,4797,a),flip(a)]. 5157 K(x,((y \ 1) * (y * z)) / u) = K(x,L(z,y,y \ 1) / u). [para(624(a,1),5156(a,1,2,1)),flip(a)]. 5158 (x * y) * a(z,u,K(w,x)) = x * (y * a(z,u,K(w,x))). [para(4865(a,2),4878(a,2,2,2))]. 5159 T(x,y) / T(z \ 1,x * z) = (z \ K(y,x)) \ x. [hyper(230,a,5000,a(flip),b,4905,a),flip(a)]. 5160 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [para(95(a,1),4921(a,1,2,1)),flip(a)]. 5161 (x / y) \ (y \ ((y \ 1) \ x)) = (y \ x) \ ((y \ x) / (y \ 1)). [para(1204(a,1),5160(a,1,2))]. 5162 x * R((y \ x) \ ((y \ x) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). [para(5160(a,1),3230(a,1,2,1))]. 5163 T(L(x,y,z) \ T(x,u),x) = T(x,u) * (L(x,y,z) \ 1). [para(885(a,1),4923(a,1,1))]. 5164 T(x,y) * ((T(x,y) / z) \ x) = T(z,T(x \ 1,y)) * x. [para(1845(a,2),4989(a,2,1,2))]. 5165 ((x \ 1) * (y * x)) \ T(y,x) = y / L(y,x,x \ 1). [para(836(a,1),4998(a,2,2))]. 5166 ((x \ 1) * (y * x)) \ T(y,x) = L(y,x,x \ 1) \ y. [hyper(230,a,706,a(flip),b,5165,a),flip(a)]. 5167 ((x \ 1) * (y * x)) \ T(y,x) = a(x,x \ 1,y). [hyper(230,a,1181,a(flip),b,5166,a),flip(a)]. 5168 T((x \ 1) * (y * x),z) \ (K((x \ 1) * (y * x),z) * T(y,x)) = a(x,x \ 1,y). [hyper(2413,a,5167,a)]. 5169 T((x \ 1) * (y * x),z) \ T(T(y,z),x) = a(x,x \ 1,T(y,z)). [para(1192(a,2),5167(a,1,1))]. 5170 K(x,(y \ K(z,z * u)) * w) = K(x,(y \ K(z,u)) * w). [hyper(57,a,4802,a(flip),b,5027,a)]. 5171 K(x,y / T(z / u,z)) = K(x,y / (u \ z)). [hyper(230,a,5028,a(flip),b,5031,a),flip(a)]. 5172 K(x,y / (T(z,u) \ (z * u))) = K(x,y / T(u,z * u)). [para(152(a,1),5171(a,1,2,2,1)),flip(a)]. 5173 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(2072(a,1),5043(a,1,1))]. 5174 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(230,a,2626,a(flip),b,5046,a),flip(a)]. 5175 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(153,a,5174,a),flip(a)]. 5176 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(5175(a,2),4258(a,2,1))]. 5177 T(T(x,y),x \ (z \ x)) = T(T(x,y),z \ 1). [hyper(230,a,3561,a(flip),b,5137,a),flip(a)]. 5178 K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),T(T(x,y),(1 / y) \ 1)). [para(5177(a,1),4001(a,1,2)),flip(a)]. 5179 a(x,x \ y,y \ z) \ z != u | x * ((x \ y) * (y \ z)) = u. [para(5149(a,2),378(a,1))]. 5180 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [hyper(1399,a,5163,a),flip(a)]. 5182 T(x,T(y \ 1,z)) * y = T(y,z) * (x * K(z,y)). [para(4940(a,1),5164(a,1,2)),flip(a)]. 5183 T(x,T(y \ 1,z)) * y = T(y * x,K(y,z)). [hyper(230,a,4005,a(flip),b,5182,a),flip(a)]. 5184 T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). [para(5183(a,1),2873(a,1,1))]. 5185 T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). [hyper(3946,a,5184,a)]. 5186 K(x,y / T(z,u * z)) = K(x,y / T(z,u)). [para(816(a,1),5172(a,1,2,2)),flip(a)]. 5187 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(2273,a,5041,a)]. 5188 R(x,y,z) = (x * (z * (x * y))) / (L(z,y,x) * (x * y)). [para(353(a,1),5061(a,2,2))]. 5189 L(x,y,y \ z) * T(z,x) = (z / y) * (y * x). [para(7(a,1),5087(a,1,2,1))]. 5190 L(x,y,y \ z) * K(z,x) = ((z / y) * (y * x)) / z. [para(5189(a,1),2470(a,1,1)),flip(a)]. 5191 T(((x * y) * z) * (a(z,x,y) * K(z,x * y)),u) \ ((x * y) * z) = ((x * y) * z) / T((z * x) * y,u). [para(5119(a,1),894(a,1,1,1,2))]. 5192 K(x,R(y,z,z \ 1) / u) = K(x,L(y,z,z \ 1) / u). [para(1106(a,1),5157(a,1,2,1))]. 5193 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ y,y)). [para(4387(a,1),4943(a,2,2,2))]. 5194 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(y,x \ y)). [para(3753(a,1),5193(a,2,2))]. 5196 (x \ y) / (x \ T(y,z)) = K(z,y) * K(y,K(x,z)). [para(3723(a,1),5194(a,2,2))]. 5197 (x \ y) / (x \ T(y,z)) = K(z,T(y,x)). [hyper(230,a,3740,a(flip),b,5196,a),flip(a)]. 5198 T(x \ 1,T(x * T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(57,a,4821,a(flip),b,5036,a)]. 5199 T(x \ 1,T(y * x,z)) = T(x \ 1,T(y,z) * x). [para(93(a,1),5198(a,1,2,1))]. 5200 (x * (y * z)) / ((x * y) * z) = (x * y) \ ((x * (y * z)) / z). [hyper(230,a,3056,a(flip),b,5122,a),flip(a)]. 5201 ((x * y) * z) / (((z * x) * y) * K(x * y,z)) = ((z * x) * y) \ (z * (x * y)). [hyper(57,a,4994,a,b,5122,a)]. 5202 (x / y) \ (y \ ((y \ 1) \ x)) = L(y,y \ 1,y \ x). [hyper(230,a,2289,a,b,5161,a),flip(a)]. 5203 L(x,x \ 1,x \ y) = L(x,x \ 1,y). [hyper(57,a,2672,a(flip),b,5202,a),flip(a)]. 5204 L(x,x \ 1,x * y) = L(x,x \ 1,y). [para(4(a,1),5203(a,1,3)),flip(a)]. 5205 L(T(x,y),x \ 1,x * z) = T(L(x,x \ 1,z),y). [para(5204(a,1),20(a,2,1))]. 5206 ((x * y) * (x \ 1)) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L(x,z,u)). [para(5204(a,1),291(a,1,2,1))]. 5207 L(T(x,y),x \ 1,x * z) = L(T(x,y),x \ 1,z). [hyper(230,a,20,a,b,5205,a),flip(a)]. 5208 T(x * (L(x,y,y \ 1) \ y),z) = L(T(y,z),y \ 1,y * x). [para(1407(a,2),5205(a,2,1)),flip(a)]. 5209 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(5173(a,2),5176(a,2,1,1,2,1)),flip(a)]. 5210 L(T(x,y),x \ 1,x * y) = (L(y,x,x \ 1) \ x) * y. [hyper(738,a,5208,a),flip(a)]. 5211 (L(x,y,y \ 1) \ y) * x = L(T(y,x),y \ 1,x). [hyper(57,a,5207,a(flip),b,5210,a),flip(a)]. 5212 (L(x,y,y \ 1) \ y) * x = x \ ((y \ 1) \ x). [hyper(230,a,2347,a(flip),b,5211,a),flip(a)]. 5213 K(x * (y * z),x * y) = K(z,x * y). [hyper(2799,a,4846,a),flip(a)]. 5214 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(4694,a,5213,a)]. 5215 (x * y) \ (x * (y * K(z,x * y))) = K(z,x * y). [hyper(57,a,4585,a,b,5214,a)]. 5216 K((x * y) \ z,x * (x \ z)) = K(y \ (x \ z),x * (x \ z)). [hyper(57,a,4652,a(flip),b,5214,a)]. 5217 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(5214(a,1),4633(a,1,1))]. 5218 (x * (y * z)) / x = y * (z * K(x,y * z)). [hyper(32,a,1667,a(flip),b,5215,a)]. 5219 K(x * (y * K(z,x * y)),u) = K(x * y,T(u,z)). [para(5218(a,1),3875(a,1,1))]. 5220 K(x,y * (z * K(u,y * z))) = K(x,T(y * z,u)). [para(5218(a,1),3880(a,1,2))]. 5221 K(L(x \ 1,y,z),x * u) * (x * (u * L(x \ 1,y,z))) = L(x \ 1,y,z) * (x * u). [para(1167(a,1),5217(a,2,1))]. 5222 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [para(5217(a,1),2118(a,1,2))]. 5223 a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)). [para(5217(a,1),5068(a,2,1))]. 5224 a(x,y,T(z,x * y)) = a(x,y,z). [hyper(230,a,576,a(flip),b,5223,a)]. 5225 a(x,x \ y,T(z,y)) = a(x,x \ y,z). [para(5(a,1),5224(a,1,3,2))]. 5226 a(x,y,x \ (x / y)) = a(x,y,x \ (y \ x)). [para(2385(a,1),5224(a,1,3)),flip(a)]. 5227 x / a(x,y,x \ (y \ x)) = x * (y * ((x * y) \ x)). [para(5226(a,1),2297(a,1,2))]. 5228 a(x,y,x \ (y \ x)) \ x = x * (y * ((x * y) \ x)). [hyper(57,a,1459,a(flip),b,5227,a)]. 5229 a(x,y,x \ (y \ x)) \ x = x * (y * (x \ (x / y))). [para(2280(a,1),5228(a,2,2,2))]. 5231 K(x \ (y \ z),y * (y \ z)) = K((y * x) \ z,z). [para(5(a,1),5216(a,1,2)),flip(a)]. 5232 K((x * y) \ z,z) = K(y \ (x \ z),z). [para(5(a,1),5231(a,1,2)),flip(a)]. 5233 K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K(x,y \ (z * u))). [para(2039(a,1),4871(a,2,3))]. 5234 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(2225,a,4552,a),flip(a)]. 5235 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(57,a,4567,a(flip),b,5234,a),flip(a)]. 5236 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(57,a,3922,a(flip),b,5235,a),flip(a)]. 5237 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(5236(a,1),3389(a,1,1))]. 5238 K(x,T(y,z \ u) * (u \ z)) != w | K(x,(u \ z) * y) = w. [para(4837(a,1),5005(a,1))]. 5239 (x * (y * z)) * T(a(x,y,z),u) = (x * y) * T(z,a(x,y,u)). [hyper(4974,a,4877,a),flip(a)]. 5240 (x * y) * T((x * y) \ z,a(x,y,u)) = z * K(u,z \ (x * (y * ((x * y) \ z)))). [hyper(2727,a,5239,a),flip(a)]. 5241 (x \ K(y,z)) * a(u,w,K(y,x)) = T(x \ K(y,z),a(u,w,y)). [para(1698(a,1),4975(a,1,2,3))]. 5242 T(K(x,y) / T(z,a(u,w,x)),z) = T(z \ K(x,y),a(u,w,x)). [hyper(57,a,4879,a,b,5241,a)]. 5243 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(3611(a,2),5037(a,2,2))]. 5244 (x * (a(y,z,z) * u)) / (x * u) = L(a(y,z,z),u,x). [para(4884(a,1),5083(a,1,2))]. 5246 a(x,y,K(z,u)) * ((x * y) * z) = T(a(x,y,z),u) * (x * (y * z)). [para(4865(a,2),5123(a,1,1))]. 5247 x * K(L(y,z,(z * y) \ x),u) = (x / (z * y)) * (z * T(y,u)). [para(4583(a,1),4683(a,1,2))]. 5248 x * K(y,L(z,u,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(4628(a,1),4683(a,1,2))]. 5249 (x / (y * T(z,y))) * (y * T(T(z,y),u)) = x * K(L(T(z,y),y,(z * y) \ x),u). [para(93(a,1),5247(a,1,2,1,3,1)),flip(a)]. 5250 L(x,y,T((x * y) \ z,K(x,y))) = ((z / (x * y)) * y) \ (z * K(y,x)). [para(4028(a,2),5018(a,1,3))]. 5251 K(x,a(y,z,y) \ (u / w)) = K(x,u * ((K(v5,v6) * w) \ K(v5,v5 * v6))). [para(1300(a,2),5029(a,1,2))]. 5252 L(x * K(y * x,z),T(y,z),z) = (y * z) \ ((T(y,z) * x) * z). [para(3481(a,1),5055(a,1,1,2))]. 5253 L(x * K(y * x,z),y,z) = (y * z) \ ((T(y,z) * x) * z). [hyper(2830,a,5252,a)]. 5254 (x * y) \ ((T(x,y) * z) * y) = (y * x) \ ((x * z) * y). [hyper(57,a,4844,a(flip),b,5253,a),flip(a)]. 5255 (x * y) \ (L(x,z \ y,z) * (z * (z \ y))) = ((z * (z \ y)) * x) \ (z * ((z \ y) * x)). [para(5(a,1),5222(a,1,1,2))]. 5256 K(x,y * ((K(z,u) * w) \ K(z,z * u))) != v5 | K(x,y / w) = v5. [para(5251(a,1),1890(a,1))]. 5257 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(4(a,1),4559(a,2,2))]. 5258 K(x,(y / T(z,u)) \ T(T(u,z),T(z,u) / y)) = K(x,u / (y / z)). [para(2080(a,1),4954(a,1,2,2))]. 5259 K(x,(y / T(z,u)) \ T(T(u,z),z / y)) = K(x,u / (y / z)). [para(3550(a,1),5258(a,1,2,2))]. 5260 L(L(x \ 1,x,y),T(y,z),T(y,z) \ 1) = (x \ T(y,z)) * T(y \ 1,z). [para(1845(a,2),4959(a,2,2))]. 5261 T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z * K(y,x))) * K(T(z,K(y,x)),u). [para(2130(a,1),5053(a,2,2,1))]. 5262 L(R(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,L(x,z,u) * x). [para(24(a,1),5060(a,1,1))]. 5263 R(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,x * a(x,y,z)). [para(1458(a,1),5062(a,2,2,2))]. 5264 T((x / y) * (x \ 1),K(x / y,x \ 1) * 1) = T((x / y) * (x \ 1),y). [hyper(2126,a,5086,a)]. 5265 L(L(x \ 1,x,y),T(y,z),T(y \ 1,z)) = (x \ T(y,z)) * T(y \ 1,z). [hyper(57,a,1860,a,b,5260,a)]. 5266 L(R(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,x * L(x,z,u)). [para(192(a,1),5262(a,2,2,2))]. 5267 T((x / y) * (x \ 1),K(x,x / y) * 1) = T((x / y) * (x \ 1),y). [para(1696(a,1),5264(a,1,2,1))]. 5268 T((x / y) * (x \ 1),K(y,x) * 1) = T((x / y) * (x \ 1),y). [para(1731(a,1),5267(a,1,2,1))]. 5269 T((x / y) * (x \ 1),K(y,x)) = T((x / y) * (x \ 1),y). [para(3(a,1),5268(a,1,2))]. 5270 T((x / y) * (x \ 1),K(x,y)) = T((x / y) * (x \ 1),y). [hyper(3817,a,5269,a)]. 5271 T((x / y) * (x \ 1),y) = (x / y) * (x \ 1). [hyper(57,a,4241,a(flip),b,5270,a),flip(a)]. 5272 x \ ((y \ x) * (y / x)) = (y / x) * (y \ 1). [hyper(3025,a,5271,a)]. 5273 T(x,y) \ ((y \ T(x,y)) * (x \ y)) = (y / T(x,y)) * (y \ 1). [para(697(a,1),5272(a,1,2,2))]. 5274 T(x,y) \ (T(y \ x,y) * (x \ y)) = (y / T(x,y)) * (y \ 1). [para(685(a,2),5273(a,1,2,1))]. 5275 T(x,y) \ ((x \ y) * T(y \ x,y)) = (y / T(x,y)) * (y \ 1). [para(2055(a,1),5274(a,1,2))]. 5276 T(x,y) \ ((y \ x) * (y / x)) = (y / T(x,y)) * (y \ 1). [para(3017(a,1),5275(a,1,2))]. 5277 T(x,y) \ ((y \ x) * (y / x)) = (x \ y) * (y \ 1). [para(697(a,1),5276(a,2,1))]. 5278 T(x \ y,y) \ ((y \ (x \ y)) * x) = ((x \ y) \ y) * (y \ 1). [para(69(a,1),5277(a,1,2,2))]. 5279 T(x \ y,x \ (y / x)) \ (x * ((x \ (y / x)) / (x \ y))) = ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1). [para(679(a,1),5277(a,1,2,1))]. 5280 T(x \ y,y) \ (x * (y \ (x \ y))) = ((x \ y) \ y) * (y \ 1). [para(2890(a,1),5278(a,1,2))]. 5281 T(x \ y,y) \ (x * (y \ (x \ y))) = T(x,y) * (y \ 1). [para(693(a,2),5280(a,2,1))]. 5282 T(x \ y,y) \ (x * (y \ (x \ y))) = (y \ 1) * x. [hyper(230,a,1031,a(flip),b,5281,a),flip(a)]. 5283 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(57,a,4544,a(flip),b,4548,a),flip(a)]. 5284 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(57,a,4420,a(flip),b,5283,a)]. 5285 (x * (y * K(z,u))) \ ((x * y) * T(L(u,y,x),z \ 1)) = L(u,y,x). [para(1022(a,2),4663(a,1,2,2))]. 5286 (x * (y * K(z,u))) \ (x * (y * T(u,z \ 1))) = L(u,y,x). [para(289(a,1),5285(a,1,2))]. 5287 L(x,y * K(x,z \ 1),u) = L(x,y,u). [hyper(57,a,2954,a(flip),b,5286,a)]. 5290 L(x,y * K(z,x),u) = L(x,y,u). [para(1696(a,1),5287(a,1,2,2))]. 5291 L(x,T(y,x),z) = L(x,y,z). [para(1592(a,2),5290(a,1,2))]. 5292 L(T(x,y),T(x,y),z) = L(T(x,y),x,z). [para(1613(a,1),5290(a,1,2)),flip(a)]. 5293 L(x,K(y,T(z,x)),u) = L(x,K(y,z),u). [para(1977(a,1),5290(a,1,2))]. 5294 L(x,K(y,x) * z,u) = L(x,z,u). [para(2224(a,1),5290(a,1,2))]. 5295 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(2358(a,1),5294(a,1,2)),flip(a)]. 5296 L(x,T(y,y \ 1),z) = L(x,y,z). [para(94(a,2),5295(a,1,2))]. 5297 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,u),x). [hyper(57,a,5082,a,b,5293,a)]. 5298 (x \ 1) * (T(x,x \ K(x,y)) * z) = L(z,T(x,x \ 1),x \ K(x,y)). [para(94(a,2),4786(a,1,2,1))]. 5300 L(x,T(y,y \ 1),y \ K(y,z)) = (y \ 1) * (T(y,y \ 1) * x). [para(4758(a,1),5298(a,1,2,1)),flip(a)]. 5301 L(x,T(y,y \ 1),y \ K(y,z)) = L(x,y,y \ 1). [hyper(230,a,2826,a(flip),b,5300,a),flip(a)]. 5303 L(x,y,y \ K(y,z)) = L(x,y,y \ 1). [hyper(57,a,5296,a(flip),b,5301,a)]. 5304 K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * x),T(u,z \ y)). [para(4823(a,1),4790(a,2,2))]. 5305 K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * T(x,z \ y)),u). [para(4823(a,1),4791(a,2,1,2,2))]. 5306 K(x \ (y * T(z,x \ y)),u) = K(x \ (y * z),T(u,x \ y)). [hyper(57,a,5304,a(flip),b,5305,a),flip(a)]. 5307 K(x \ (y * z),T(x,x \ y)) = K(z / (y \ x),x). [hyper(57,a,5140,a(flip),b,5306,a),flip(a)]. 5308 K(x \ (y * z),T(x,y)) = K(z / (y \ x),x). [hyper(57,a,1861,a(flip),b,5307,a)]. 5309 (L(x,y,z) \ 1) * (u * T(x,u)) = x * ((L(x,y,z) \ 1) * u). [para(1007(a,1),4824(a,1,2,2))]. 5310 (L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u). [para(93(a,1),5309(a,1,2))]. 5312 (L(x,y,z) \ x) \ (x * ((L(x,y,z) \ 1) * u)) = L(u,x,L(x,y,z) \ 1). [para(5310(a,1),864(a,1,2))]. 5313 L(x,L(y,z,u) \ 1,y) = L(x,y,L(y,z,u) \ 1). [hyper(1388,a,5312,a)]. 5314 (x \ (y * (z * u))) * K(u,y * z) = x \ (L(u,z,y) * (y * z)). [para(5213(a,1),4936(a,1,2))]. 5315 x \ (L(x,y,z) * (z * y)) = (z * (y * x)) / x. [hyper(57,a,2569,a(flip),b,5314,a),flip(a)]. 5316 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. [hyper(1381,a,5315,a)]. 5317 L(x,y \ z,y) * (x \ z) = (y * ((y \ z) * x)) / x. [para(5(a,1),5316(a,1,2,2))]. 5318 L(x,T(y,z),z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x. [para(93(a,1),5316(a,1,2,2))]. 5319 L(x,y,z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x. [para(2813(a,1),5318(a,1,1))]. 5320 (x \ (y * (z * x))) \ T(y * z,x) = ((y * (z * x)) / x) \ (y * z). [para(1361(a,1),4981(a,2,1))]. 5321 x * R(x \ (x / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). [para(2282(a,1),5162(a,1,2,1))]. 5322 (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). [hyper(230,a,2845,a(flip),b,5321,a)]. 5323 (a(x,y,y) \ z) * (a(x,y,y) * R(a(x,y,y) \ 1,u,w)) = z * R(z \ (z / a(x,y,y)),u,w). [para(4887(a,1),5322(a,1,1))]. 5324 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(57,a,3592,a(flip),b,5237,a)]. 5325 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(4721,a,5324,a),flip(a)]. 5326 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(57,a,4185,a(flip),b,5325,a),flip(a)]. 5327 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(15(a,2),5326(a,1,2,1)),flip(a)]. 5328 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(1684(a,1),5327(a,1,1)),flip(a)]. 5329 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(4254(a,1),5327(a,1,1))]. 5330 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(5328(a,1),5329(a,1,1)),flip(a)]. 5331 ((x * y) * z) / (R(z,x,y) * T(x * y,z)) = ((z * x) * y) \ (z * (x * y)). [para(2473(a,1),5201(a,1,2))]. 5332 ((x * y) * z) / T(R(z,x,y) * (x * y),z) = ((z * x) * y) \ (z * (x * y)). [para(3148(a,2),5331(a,1,2))]. 5333 ((x * y) * z) / T((z * x) * y,z) = ((z * x) * y) \ (z * (x * y)). [para(89(a,1),5332(a,1,2,1))]. 5334 L(K((x / y) \ z,u),z \ (x / (1 / (1 / y))),w) = K(1 / (z \ (x / y)),u). [para(2038(a,1),4643(a,1,1))]. 5335 L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). [para(72(a,1),5334(a,1,1,1))]. 5336 L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). [para(612(a,1),5335(a,1,2,2,2))]. 5337 L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). [hyper(230,a,2038,a(flip),b,5336,a),flip(a)]. 5338 L(K(x,y),z \ (z / x),u) = K(x,y). [hyper(230,a,1748,a(flip),b,5337,a),flip(a)]. 5339 K((x / y) \ x,z) != u | K(y,z) = u. [para(5337(a,1),1281(a,1))]. 5341 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). [para(5338(a,1),482(a,1,1)),flip(a)]. 5342 K(x \ (x * y),z) != u | K(y,z) = u. [para(6(a,1),5339(a,1,1,1))]. 5344 K(x,(y * z) \ y) != u | K(z,x) = u. [para(2039(a,1),5342(a,1))]. 5345 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(2235(a,2),5342(a,1))]. 5346 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(5(a,1),5345(a,1,1,1))]. 5347 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(3875(a,1),5345(a,1))]. 5348 K(x,T(L(T(y,z),u,w),z)) != v5 | K(x,L(y,u,w)) = v5. [para(20(a,2),5347(a,1,2,1))]. 5349 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(95(a,1),5347(a,1,2,1))]. 5350 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(695(a,1),5347(a,1,2,1))]. 5352 K(x,T(y,z)) != u | K(x,y * K(z,y)) = u. [para(1594(a,1),5347(a,1,2,1))]. 5353 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(1974(a,1),5347(a,1))]. 5354 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(2066(a,1),5347(a,1,2,1))]. 5356 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(2229(a,1),5347(a,1))]. 5358 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(3877(a,1),5347(a,1))]. 5360 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(3930(a,2),5347(a,1))]. 5361 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(2106(a,1),5353(a,1))]. 5366 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(828(a,1),5349(a,1,2))]. 5367 K(x,T(y * (L(y,z,u) \ w),L(y,z,u))) != v5 | K(x,(y * w) / L(y,z,u)) = v5. [para(1382(a,1),5349(a,1,2,1))]. 5373 K(x * (y / x),z) != u | K(y,T(z,x)) = u. [para(1638(a,1),5360(a,1,1))]. 5377 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). [hyper(230,a,2082,a(flip),b,5341,a),flip(a)]. 5379 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = K(y,z). [hyper(230,a,1723,a(flip),b,5377,a),flip(a)]. 5380 x / L(y,T(z,y \ 1),(y * z) \ x) = (x / (y * z)) * T(z,y \ 1). [para(1028(a,1),5019(a,2,1,2))]. 5381 (((x / (y * z)) * T(z,y \ 1)) * y) \ (x * y) = L(y,T(z,y \ 1),(y * z) \ x). [para(5380(a,1),1357(a,1,1,1))]. 5382 T((x * y) * z,u) / a(x,y,z) = a(x,y,z) \ T((x * y) * z,u). [para(75(a,1),5121(a,1,1,1))]. 5383 L(x,y,z \ (z / x)) * ((z \ (z / x)) * y) = (z \ (z / x)) * (x * y). [hyper(230,a,2615,a(flip),b,5145,a),flip(a)]. 5384 (x \ (x / y)) * (y * z) = y * ((x \ (x / y)) * z). [para(1209(a,1),5383(a,1,1)),flip(a)]. 5385 ((x \ (x / y)) * y) \ (y * ((x \ (x / y)) * z)) = L(z,y,x \ (x / y)). [para(5384(a,1),13(a,2,2)),flip(a)]. 5386 (x * (y \ (y / x))) \ (x * ((y \ (y / x)) * z)) = L(z,x,y \ (y / x)). [para(2716(a,1),5385(a,1,1))]. 5387 L(x,y \ (y / z),z) = L(x,z,y \ (y / z)). [hyper(295,a,5386,a)]. 5388 x * (a(K(x,y),K(y,x) * z,z \ u) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). [para(2129(a,1),5150(a,1,2,1,2))]. 5389 T((x \ 1) * (y * x),z) \ (K(z,(y * x) \ x) * T(y,x)) = a(x,x \ 1,y). [para(4762(a,1),5168(a,1,2,1))]. 5390 T((x \ 1) * (y * x),z) \ (K(z,x \ (y \ x)) * T(y,x)) = a(x,x \ 1,y). [para(2316(a,1),5389(a,1,2,1,2))]. 5391 T((x \ 1) * (y * x),z) \ (K(y,T(z,x)) * T(y,x)) = a(x,x \ 1,y). [para(2264(a,1),5390(a,1,2,1))]. 5392 T((x \ 1) * (y * x),z) \ T(T(y,z),x) = a(x,x \ 1,y). [para(2377(a,1),5391(a,1,2))]. 5393 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(57,a,5169,a(flip),b,5392,a)]. 5395 a(x,x \ 1,L(T(y,z),u,w)) = a(x,x \ 1,L(y,u,w)). [para(20(a,2),5393(a,1,3))]. 5396 a(x,x \ 1,y / z) = a(x,x \ 1,z \ y). [para(95(a,1),5393(a,1,3)),flip(a)]. 5397 a(x,x \ 1,y * z) = a(x,x \ 1,z * y). [para(589(a,1),5393(a,1,3))]. 5398 a(x,x \ 1,y \ K(z,y)) = a(x,x \ 1,y \ 1). [para(1844(a,1),5393(a,1,3))]. 5399 L(x / y,z,z \ 1) \ (x / y) = a(z,z \ 1,y \ x). [hyper(57,a,1181,a,b,5396,a)]. 5400 a(x,x \ 1,y * x) = a(x,x \ 1,y). [hyper(3274,a,5397,a),flip(a)]. 5401 a(x,x \ 1,y * x) != z | a(x,x \ 1,y) = z. [para(5397(a,1),3274(a,1))]. 5402 a(T(x,y \ 1),T(x,y \ 1) \ 1,z / L(y,T(x,y \ 1),(y * x) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). [para(5380(a,2),5400(a,1,3))]. 5403 a(x,x \ 1,L(y \ K(y,z),u,w)) = a(x,x \ 1,L(y \ 1,u,w)). [para(1846(a,1),5395(a,1,3,1))]. 5404 a(x,x \ 1,x \ y) = (y * (x \ 1)) \ (y / x). [para(1097(a,1),5399(a,1,1)),flip(a)]. 5405 a(x,x \ 1,(x \ 1) \ y) = (y * x) \ (y / (x \ 1)). [para(1183(a,1),5399(a,1,1)),flip(a)]. 5406 (x * (y \ 1)) \ (x / y) = a(y,y \ 1,x). [hyper(57,a,3260,a(flip),b,5404,a),flip(a)]. 5407 a(x \ y,(x \ y) \ 1,y) = (y * ((x \ y) \ 1)) \ x. [para(69(a,1),5406(a,1,2)),flip(a)]. 5408 (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). [hyper(3271,a,5405,a),flip(a)]. 5409 (x * y) * a(y,y \ 1,x) = x / (y \ 1). [hyper(110,a,5408,a)]. 5410 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L(x,z,u)). [para(1168(a,1),5206(a,1,1))]. 5411 x * K(y,x \ (z * (u * ((z * u) \ x)))) = z * (u * T(u \ (z \ x),a(z,u,y))). [hyper(452,a,5240,a),flip(a)]. 5412 (x / (y * T(z,y))) * (y * T(T(z,y),u)) = x * K(L(z,y,(z * y) \ x),T(u,y)). [para(2232(a,1),5249(a,2,2))]. 5413 (((x / (y * z)) * y) * z) \ (x * z) = L(z,T(y,z \ 1),(z * y) \ x). [para(2628(a,1),5381(a,1,1,1))]. 5414 L(x,T(y,x \ 1),(x * y) \ z) = L(x,y,(y * x) \ z). [hyper(57,a,5020,a(flip),b,5413,a),flip(a)]. 5415 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * (x \ L(x,z,u)). [para(659(a,1),5410(a,2,2))]. 5416 x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * (x \ L(x,z,u)). [hyper(787,a,5415,a)]. 5417 x * (y * ((x \ 1) * L(x,z,u))) = (x * y) * (x \ L(x,z,u)). [para(291(a,1),5416(a,1,2))]. 5418 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(659(a,1),5417(a,1,2,2)),flip(a)]. 5419 R(x,y,x \ L(x,z,u)) = x. [hyper(314,a,5418,a)]. 5420 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [hyper(292,a,5418,a)]. 5421 L(x,y,z) \ (u * (x \ L(x,w,v5))) = (L(x,y,z) \ u) * (x \ L(x,w,v5)). [para(5419(a,1),398(a,1,1,1))]. 5422 (x * y) * T(x \ L(x,z,u),y) = x * ((x \ L(x,z,u)) * y). [para(5419(a,1),2647(a,1,1)),flip(a)]. 5423 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(2330,a,5420,a)]. 5424 L(x \ L(x,y,z),x,L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,5313,a(flip),b,5420,a)]. 5425 (x * y) / (x \ L(x,z,u)) = x * (y / (x \ L(x,z,u))). [para(5420(a,1),326(a,1,2))]. 5426 (x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)). [para(5420(a,1),291(a,1,2,1))]. 5427 L((x * y) \ (x * L(y,z,u)),w,y) = L(y \ L(y,z,u),y,x). [para(5420(a,1),301(a,1,1)),flip(a)]. 5428 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(623,a,5423,a)]. 5430 a(x,x \ 1,y) \ 1 = y \ L(y,x,x \ 1). [para(1181(a,1),5423(a,1,1))]. 5431 L((x \ 1) \ y,z,u) \ L(L((x \ 1) \ y,z,u),x,x \ 1) = (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1. [para(1150(a,1),5423(a,1,1,1)),flip(a)]. 5432 T(x,(L(y,z,u) \ y) \ w) = T(x,(y \ L(y,z,u)) * w). [para(5423(a,1),4817(a,1,2,1)),flip(a)]. 5433 (x \ L(x,y,z)) \ 1 = x * (L(x,y,z) \ 1). [hyper(230,a,1383,a,b,5428,a),flip(a)]. 5434 L(x,y,z) \ x != u \ 1 | x \ L(x,y,z) = u. [para(5428(a,1),42(a,1))]. 5435 (L(x,y,z) \ x) \ 1 != u | x \ L(x,y,z) = u. [para(5428(a,1),618(a,1,1))]. 5436 a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). [hyper(230,a,1108,a(flip),b,5430,a),flip(a)]. 5437 a(x,x \ 1,y) \ 1 != z | a(y,x,x \ 1) = z. [para(5430(a,2),1112(a,1))]. 5438 a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). [hyper(623,a,5436,a)]. 5439 a(x,y,y \ 1) \ 1 != z | a(y,y \ 1,x) = z. [para(5436(a,1),618(a,1,1))]. 5440 a(x,x \ 1,y) != z \ 1 | a(y,x,x \ 1) = z. [para(5438(a,1),42(a,1))]. 5441 (x * ((L(x,y,z) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) != w | a(x,L(x,y,z) \ 1,u) = w. [para(5433(a,2),376(a,1,2,1))]. 5442 (L(x,y,z) \ x) \ (L(x,y,z) \ L(x,u,w)) = x \ L(x,u,w). [hyper(57,a,1344,a,b,5424,a)]. 5443 L(x \ ((x / y) * L(y,z,u)),w,y) = L(y \ L(y,z,u),y,x). [para(3041(a,1),5427(a,1,1))]. 5445 ((L(x,y,z) \ x) \ 1) \ L(((L(x,y,z) \ x) \ 1) * (L(x,y,z) \ L(x,u,w)),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). [para(5442(a,1),1005(a,2,2,1))]. 5446 R(x,y,L(x \ L(x,z,u),w,v5)) = x. [hyper(314,a,5426,a)]. 5447 (x * y) * L(x \ L(x,z,u),w,v5) != x * v6 | y * L(x \ L(x,z,u),w,v5) = v6. [para(5426(a,2),37(a,1))]. 5448 L(x,y,z) \ (u * L(x \ L(x,w,v5),v6,v7)) = (L(x,y,z) \ u) * L(x \ L(x,w,v5),v6,v7). [para(5446(a,1),398(a,1,1,1))]. 5449 x * K(L(y,z,(y * z) \ x),T(u,z)) = (x / (y * z)) * (z * T(T(y,z),u)). [para(93(a,1),5412(a,1,1,2)),flip(a)]. 5450 x * K(L(y,z,(y * z) \ x),T(u,z)) = (x / (y * z)) * (T(y,u) * z). [para(188(a,1),5449(a,2,2))]. 5451 x * K(y,L(T(z,u),u,(y * u) \ x)) = (x / (y * u)) * (T(y,z) * u). [para(4624(a,1),5450(a,1,2))]. 5452 a(x,T((y \ z) \ 1,z),K((y \ z) * y,u)) = a(x,y,K(((y \ z) \ 1) \ y,u)). [para(4766(a,1),4615(a,1,3))]. 5453 a(x,T((y \ z) \ 1,z),K(z,T(u,y))) = a(x,y,K(((y \ z) \ 1) \ y,u)). [para(2238(a,1),5452(a,1,3))]. 5454 K(x,(y * ((z \ y) / y)) / u) = K(x,(u \ K(y / z,u \ 1)) * (y / z)). [para(717(a,1),4769(a,1,2,1,2,1)),flip(a)]. 5455 K(x,(y * ((z \ y) / y)) / u) = K(x,(y / z) * (u \ 1)). [para(1934(a,1),5454(a,2,2))]. 5456 K(x,(y * ((z \ y) / y)) / u) != w | K(x,(y / z) / u) = w. [para(5455(a,2),5032(a,1))]. 5457 K(x,(y * (z / y)) / u) != w | K(x,(y / (y / z)) / u) = w. [para(72(a,1),5456(a,1,2,1,2,1))]. 5458 K(x,(y \ T(z,y \ 1)) / u) != w | K(x,(z / y) / u) = w. [para(1061(a,2),5456(a,1,2,1))]. 5459 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(2111,a,5257,a)]. 5460 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(4(a,1),5459(a,1,2))]. 5461 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(4668,a,5460,a)]. 5462 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(57,a,5154,a(flip),b,5461,a)]. 5464 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(57,a,2635,a(flip),b,5462,a)]. 5465 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(57,a,3011,a(flip),b,5464,a)]. 5467 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(5(a,1),5465(a,1,1,2,1)),flip(a)]. 5468 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(230,a,3610,a,b,5467,a),flip(a)]. 5469 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(5468(a,1),227(a,1,2))]. 5470 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(57,a,3636,a,b,5469,a)]. 5471 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(2421,a,5284,a),flip(a)]. 5472 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(230,a,4568,a(flip),b,5471,a),flip(a)]. 5473 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(7(a,1),5472(a,1,2,1)),flip(a)]. 5474 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(2600,a,5473,a),flip(a)]. 5475 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(3580,a,5474,a),flip(a)]. 5476 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(57,a,4248,a(flip),b,5475,a)]. 5477 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(5475(a,1),2160(a,1,1,2))]. 5478 K(T(x,y),z * (T(x,y) \ u)) = K(x,T((T(x,y) \ z) * u,y)). [hyper(2416,a,5476,a),flip(a)]. 5479 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(2175,a,5477,a),flip(a)]. 5481 K(x \ 1,L(x * y,z,u)) * (x * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). [para(4624(a,1),5221(a,1,1))]. 5482 ((x * (x \ y)) * z) \ (x * ((x \ y) * z)) = (z * y) \ (L(z,x \ y,x) * y). [para(5(a,1),5255(a,1,2,2)),flip(a)]. 5483 (x * y) \ (L(x,z \ y,z) * y) = (y * x) \ (z * ((z \ y) * x)). [para(5(a,1),5482(a,1,1,1)),flip(a)]. 5485 x \ (L(y,z \ x,z) * (y \ x)) = (x * y) \ (z * ((z \ x) * y)). [hyper(57,a,3241,a(flip),b,5483,a)]. 5487 (x * y) \ (z * ((z \ x) * y)) = x \ ((z * ((z \ x) * y)) / y). [para(5317(a,1),5485(a,1,2)),flip(a)]. 5488 K(x * y,L(x,z,u)) * (x * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). [para(4627(a,1),5481(a,1,1))]. 5489 a(x,T(y,z \ 1) / z,K(z * (y / z),u)) = a(x,z \ 1,K((z \ 1) \ (y / z),u)). [para(4766(a,1),4613(a,1,3))]. 5490 a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,T(z,y \ 1) / y,K(z,T(u,y))). [para(3892(a,1),5489(a,1,3)),flip(a)]. 5491 a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,y \ z,K(z,T(u,y))). [hyper(230,a,5047,a(flip),b,5490,a),flip(a)]. 5493 a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,y \ z,K(z,u)). [hyper(230,a,4484,a(flip),b,5491,a),flip(a)]. 5494 a(x,y \ 1,K(y * (z / y),u)) = a(x,y \ z,K(z,u)). [para(4766(a,1),5493(a,1,3))]. 5495 a(x,y \ 1,K(z,T(u,y))) = a(x,y \ z,K(z,u)). [para(3892(a,1),5494(a,1,3))]. 5496 a(x,y \ 1,K(z,u)) = a(x,y \ z,K(z,u)). [hyper(57,a,4483,a(flip),b,5495,a)]. 5497 a(x,y \ z,K(z,u)) = a(x,1 / y,K(z,u)). [hyper(57,a,3319,a,b,5496,a),flip(a)]. 5498 a(x,1 / y,K(z,u)) = a(x,z / y,K(z,u)). [hyper(57,a,4477,a,b,5497,a),flip(a)]. 5499 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(3736(a,2),5498(a,1,3))]. 5500 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(3736(a,2),5499(a,2,3))]. 5501 T(((x / y) \ 1) * K((x / y) \ x,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(2580(a,1),4963(a,1,1,2))]. 5502 T(((x / y) \ 1) * K(y,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(72(a,1),5501(a,1,1,2,1))]. 5503 T(((x / y) \ 1) * K(y,y \ x),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(1682(a,1),5502(a,1,1,2))]. 5505 x \ (((x / y) \ 1) * (y * (x / y))) = T((x / y) \ K(y,y \ x),x). [para(4735(a,1),5503(a,1,1)),flip(a)]. 5506 x \ (((x / y) \ 1) * (y * (x / y))) = T((y \ x) \ 1,x). [para(2595(a,1),5505(a,2,1))]. 5507 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(32,a,17,a(flip),b,5506,a),flip(a)]. 5508 K(x * (x \ ((y \ x) * z)),T(x,u)) = K((y \ x) * z,x) * K(u,K(x,y \ z)). [para(5(a,1),5106(a,1,1,1)),flip(a)]. 5509 K((x \ y) * z,y) * K(u,K(y,x \ z)) = K((x \ y) * z,T(y,u)). [para(5(a,1),5508(a,1,1)),flip(a)]. 5512 K(x * (y \ z),x) * K(u,K(x,y \ z)) = K((y \ x) * z,T(x,u)). [para(5144(a,1),5509(a,1,1))]. 5513 K((x \ y) * z,T(y,u)) != w | K(y * (x \ z),T(y,u)) = w. [para(5512(a,1),4015(a,1))]. 5514 (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6) = x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)). [hyper(57,a,1382,a(flip),b,5448,a),flip(a)]. 5515 (L(x,y,z) \ 1) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) \ L(x \ L(x,u,w),v5,v6). [para(2(a,1),5448(a,1,2)),flip(a)]. 5516 K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),T(T(x,y),y)). [para(72(a,1),5178(a,2,2,2))]. 5517 K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),x). [hyper(230,a,3865,a(flip),b,5516,a),flip(a)]. 5519 K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((y \ 1) \ x),x). [hyper(230,a,2881,a(flip),b,5517,a),flip(a)]. 5520 K(((1 / x) \ y) * z,T(y,x)) = K(z * ((x \ 1) \ y),y). [para(1075(a,1),5519(a,1,1,1))]. 5521 K(((x \ 1) \ y) * z,T(y,x)) = K(z * ((x \ 1) \ y),y). [para(613(a,1),5520(a,1,1,1,1))]. 5522 K(x * ((y \ 1) \ z),T(x,y)) = K(z * ((y \ 1) \ x),x). [hyper(5513,a,5521,a)]. 5523 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4785(a,1),5209(a,1,1,1,2))]. 5524 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4956(a,1),5523(a,1,1,1,2))]. 5525 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(774(a,1),5524(a,1,1,1)),flip(a)]. 5526 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2768(a,2),5525(a,1,2,2,1))]. 5527 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(72(a,1),5526(a,1,2,2))]. 5529 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(1940(a,1),5527(a,1,2))]. 5530 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(160,a,5529,a(flip))]. 5531 (a(x,y,y) \ z) * (a(x,y,y) * R(a(x,y,y) \ 1,u,w)) = z * R(z \ (a(x,y,y) \ z),u,w). [para(4887(a,1),5323(a,2,2,1,2))]. 5532 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(57,a,2187,a(flip),b,4418,a),flip(a)]. 5533 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(1669(a,1),5532(a,1,2)),flip(a)]. 5534 K(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = R(z \ T(y,x),K(x,y),K(y,x)) / (z \ y). [para(1782(a,1),4942(a,2,1,3))]. 5535 K(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = (z \ T(y,x)) / (z \ y). [para(4069(a,1),5534(a,2,1))]. 5537 K(x,y) \ K(z \ y,K(x,y) \ 1) = (z \ T(y,x)) / (z \ y). [para(4930(a,1),5535(a,1,2,1))]. 5538 K(x,y) \ K(z \ y,K(y,x)) = (z \ T(y,x)) / (z \ y). [para(1782(a,1),5537(a,1,2,2))]. 5540 K(x,y) \ K(y,K(z \ y,x)) = (z \ T(y,x)) / (z \ y). [para(3738(a,1),5538(a,1,2))]. 5541 K(x,y) \ K(y,K(z,x)) = (z \ T(y,x)) / (z \ y). [para(3749(a,1),5540(a,1,2))]. 5542 (x \ T(y,z)) / (x \ y) = K(y,z) * K(y,K(x,z)). [hyper(2142,a,5541,a),flip(a)]. 5543 (x \ T(y,z)) / (x \ y) = K(y,T(z,x)). [hyper(230,a,3761,a(flip),b,5542,a),flip(a)]. 5544 K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((u * K(y,T(z,x))) * (x \ y),T(w,x \ T(y,z))). [para(5543(a,1),3920(a,1,1,1,2)),flip(a)]. 5545 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z). [para(4957(a,1),4961(a,1,2,1,1)),flip(a)]. 5547 T(T((x * (y * z)) * a(x,y,z),K(y * z,x)),u) \ ((y * z) * x) = ((y * z) * x) / T((x * y) * z,u). [para(4027(a,2),5191(a,1,1,1))]. 5548 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(4(a,1),5533(a,2,1,1))]. 5549 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(230,a,3697,a(flip),b,5548,a),flip(a)]. 5551 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(4(a,1),5549(a,1,1,1))]. 5552 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(4(a,1),5551(a,1,2,2))]. 5553 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(2700(a,1),5552(a,1,2,1,3))]. 5554 T(T((x * y) * z,K(y * z,x)),u) \ ((y * z) * x) = ((y * z) * x) / T((x * y) * z,u). [para(75(a,1),5547(a,1,1,1,1))]. 5555 ((x * y) * z) / T((z * x) * y,u) = T((z * x) * y,u) \ ((x * y) * z). [para(3147(a,1),5554(a,1,1,1)),flip(a)]. 5556 T((x * y) * z,x) \ ((y * z) * x) = ((x * y) * z) \ (x * (y * z)). [hyper(57,a,5333,a(flip),b,5555,a),flip(a)]. 5557 T((x * y) * z,x) \ ((y * z) * x) = (x * y) \ ((x * (y * z)) / z). [hyper(230,a,3056,a(flip),b,5556,a),flip(a)]. 5558 T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z)) * K(T(z,K(y,x)),u). [para(3500(a,1),5261(a,2,1,2))]. 5560 ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * ((x \ (y / x)) / (x \ y))). [para(742(a,1),5279(a,1,1)),flip(a)]. 5561 ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * (y / (y * x))). [para(5015(a,1),5560(a,2,2,2))]. 5562 (x / y) \ (y * (x / (x * y))) = L(y \ 1,y,x) * ((y \ (x / y)) \ 1). [para(2382(a,1),5561(a,1,1)),flip(a)]. 5563 (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1 = L((x \ 1) \ y,z,u) \ L(x * y,z,u). [para(1150(a,1),5431(a,1,2)),flip(a)]. 5564 (T(x,y) * (T(x * y,y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). [para(652(a,2),5013(a,1,1,2,1))]. 5565 (T(x,y) * (x / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). [para(815(a,1),5564(a,1,1,2))]. 5566 (x * (T(x,y) / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). [para(4908(a,1),5565(a,1,1))]. 5567 T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y * (y \ (y / x))) \ (z * ((x \ y) / T(y,x))). [para(2294(a,1),5566(a,1,1,2)),flip(a)]. 5568 T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((x \ y) / T(y,x))). [hyper(230,a,129,a(flip),b,5567,a),flip(a)]. 5570 T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((T(y,x) * x) \ y)). [para(5011(a,1),5568(a,2,2,2))]. 5571 T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (T(y * x,x) \ y)). [para(652(a,2),5570(a,2,2,2,1))]. 5572 T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (y / (y * x))). [para(815(a,1),5571(a,2,2,2))]. 5573 T(x \ y,y) \ (z * T(y \ (y / x),T(y,x))) = (y / x) \ (z * (y / (y * x))). [para(2210(a,1),5572(a,1,2,2,1))]. 5574 T(x \ y,y) \ (z * T(y \ (x \ y),K(y,x))) = (y / x) \ (z * (y / (y * x))). [para(3604(a,1),5573(a,1,2,2))]. 5575 T(x \ y,y) \ (z * (y \ (x \ y))) = (y / x) \ (z * (y / (y * x))). [para(2602(a,1),5574(a,1,2,2))]. 5576 (x / y) \ (y * (x / (x * y))) = (x \ 1) * y. [hyper(57,a,5282,a(flip),b,5575,a),flip(a)]. 5578 L(x \ 1,x,y) * ((x \ (y / x)) \ 1) = (y \ 1) * x. [hyper(57,a,5562,a(flip),b,5576,a)]. 5579 L(x \ y,x,L(x \ 1,x,y)) = ((y \ 1) * x) \ 1. [para(5578(a,1),3309(a,1,1)),flip(a)]. 5580 (x * L(x \ 1,x,y)) \ (x \ y) = ((y \ 1) * x) \ 1. [hyper(57,a,3338,a,b,5579,a)]. 5581 a(x,x \ 1,y) \ (x \ y) = ((y \ 1) * x) \ 1. [para(4345(a,1),5580(a,1,1))]. 5582 ((x \ 1) * y) \ 1 = (y \ 1) * x. [hyper(57,a,3263,a(flip),b,5581,a),flip(a)]. 5583 L(x \ ((y \ 1) \ 1),x,y \ 1) = (x \ 1) * y. [hyper(415,a,5582,a)]. 5584 (((x * y) \ 1) * x) \ 1 = L(y,x,x \ 1). [hyper(230,a,836,a(flip),b,5582,a),flip(a)]. 5585 (x \ 1) * (y \ 1) = (y * x) \ 1. [para(614(a,1),5582(a,1,1,1)),flip(a)]. 5586 T(x,y \ 1) * K(z,L(u,y \ 1,(y \ 1) \ x)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). [para(5582(a,2),4661(a,2,2))]. 5587 ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). [para(5582(a,1),4733(a,1,1))]. 5588 ((x \ K(y,z)) * u) \ 1 = (u \ 1) * (K(z,y) * x). [para(4801(a,1),5582(a,1,1,1))]. 5589 T(x,((y \ 1) * z) \ u) = T(x,((z \ 1) * y) * u). [para(5582(a,1),4817(a,1,2,1)),flip(a)]. 5590 ((L(x,y,z) \ x) * u) \ 1 = (u \ 1) * (x \ L(x,y,z)). [para(5428(a,1),5582(a,1,1,1))]. 5591 (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). [para(5582(a,1),5582(a,1,1,1))]. 5592 (x \ 1) \ ((y * x) \ 1) = y \ 1. [hyper(101,a,5585,a)]. 5593 (x * R(x \ 1,y,z)) \ 1 = R(x \ 1,y,z) \ (x \ 1). [hyper(57,a,668,a(flip),b,5585,a),flip(a)]. 5594 ((x \ 1) * ((y \ 1) * z)) \ (((y * x) \ 1) * z) = a(x \ 1,y \ 1,z). [para(5585(a,1),9(a,2,2,1)),flip(a)]. 5595 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). [para(5585(a,1),15(a,2,2)),flip(a)]. 5596 (x * (y \ 1)) \ 1 = y * (x \ 1). [para(614(a,1),5585(a,1,1)),flip(a)]. 5597 L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). [para(5585(a,1),1144(a,1,2)),flip(a)]. 5598 K(x \ 1,y \ ((x * z) \ 1)) = K(x \ 1,y \ (z \ 1)). [para(5585(a,1),3576(a,1,2,2))]. 5599 (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). [para(4778(a,1),5585(a,1,1)),flip(a)]. 5600 (x * (y \ K(z,u))) \ 1 = (K(u,z) * y) * (x \ 1). [para(4787(a,1),5585(a,1,1)),flip(a)]. 5601 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [para(5585(a,1),4817(a,1,2))]. 5602 (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = ((x \ 1) * ((y \ 1) * z)) / (((y * x) \ 1) * z). [para(5585(a,1),5122(a,1,2,1)),flip(a)]. 5603 (x * a(y,y \ 1,z)) \ 1 = a(z,y,y \ 1) * (x \ 1). [para(5436(a,1),5585(a,1,1)),flip(a)]. 5604 (x \ 1) \ ((y * x) \ 1) = 1 / y. [hyper(230,a,613,a,b,5592,a),flip(a)]. 5605 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(7(a,1),5592(a,1,2,1))]. 5607 (x * ((y * x) \ 1)) \ 1 = L(y,x,x \ 1). [hyper(230,a,1098,a(flip),b,5596,a),flip(a)]. 5608 ((x \ 1) * T((x \ 1) \ y,z)) \ 1 = x * (T(y / (x \ 1),z) \ 1). [para(271(a,1),5596(a,1,1))]. 5609 (x * (y \ 1)) \ 1 != z | y * (x \ 1) = z. [para(5596(a,1),618(a,1,1))]. 5611 (x * ((y \ x) \ 1)) \ y = y * ((x \ 1) * (x / y)). [para(5596(a,1),1232(a,1,1))]. 5612 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(5596(a,1),5585(a,1,1)),flip(a)]. 5613 (x \ 1) \ (1 / (y * x)) = 1 / y. [para(613(a,2),5604(a,1,2))]. 5614 (x \ 1) * T((y / x) \ 1,z) = x \ T(x * (y \ 1),z). [para(5605(a,1),456(a,1,2,1))]. 5615 (x / (y \ 1)) \ 1 = y \ (x \ 1). [para(614(a,1),5605(a,1,1)),flip(a)]. 5616 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [para(614(a,1),5605(a,1,2)),flip(a)]. 5617 (R(x,y,z) \ 1) \ (x \ 1) = (R(x,y,z) \ x) \ 1. [para(705(a,1),5605(a,2,1))]. 5618 ((x * (y \ 1)) / z) \ 1 = (z \ 1) \ (y * (x \ 1)). [para(5596(a,1),5605(a,1,2)),flip(a)]. 5619 (1 / x) \ (1 / (y * x)) = 1 / y. [para(613(a,2),5613(a,1,1))]. 5620 (x \ (y \ 1)) \ 1 = y / (x \ 1). [hyper(623,a,5615,a)]. 5621 (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). [para(1177(a,1),5615(a,1,1))]. 5622 (x \ ((x \ 1) \ y)) \ 1 = x \ ((y / x) \ 1). [para(1204(a,1),5615(a,1,1))]. 5623 K(x,y) / (z \ (u \ 1)) = K(x,y) * (u / (z \ 1)). [para(5615(a,1),4734(a,1,2))]. 5624 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [hyper(623,a,5616,a)]. 5625 (x \ 1) * (((((y \ 1) / (x \ 1)) \ 1) / y) \ 1) = x \ ((y \ 1) \ ((y \ 1) / (x \ 1))). [para(5616(a,2),2336(a,1,2))]. 5626 (1 / x) * (1 / y) = 1 / (y * x). [hyper(110,a,5619,a)]. 5627 (x \ 1) / (y \ 1) = (y \ x) \ 1. [para(614(a,1),5620(a,1,1,2)),flip(a)]. 5628 (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. [para(5596(a,1),5620(a,1,1,2)),flip(a)]. 5629 (((x \ 1) \ 1) * R(x \ 1,y,z)) \ 1 = (R(x \ 1,y,z) \ 1) / x. [para(631(a,2),5624(a,1,1))]. 5630 (x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1. [para(5582(a,1),5624(a,1,1,1)),flip(a)]. 5631 (x \ 1) / (y * (z \ 1)) = ((z * (y \ 1)) \ x) \ 1. [para(5596(a,1),5624(a,1,1,1)),flip(a)]. 5632 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(1781(a,1),5626(a,1,2)),flip(a)]. 5633 (x \ 1) / (L(x,y,z) \ 1) = x \ L(x,y,z). [hyper(230,a,5423,a(flip),b,5627,a),flip(a)]. 5634 ((x \ 1) * y) * a(y,y \ 1,x \ 1) = (y \ x) \ 1. [hyper(57,a,5409,a,b,5627,a)]. 5635 T((x * y) * z,z \ (y \ 1)) = (y * z) * R(x,y,z). [hyper(57,a,1046,a(flip),b,5601,a),flip(a)]. 5636 T(x,y \ (z \ 1)) * (z * y) = (z * y) * x. [para(5601(a,1),1028(a,1,1))]. 5637 ((x * y) * z) \ ((T(z,y \ (x \ 1)) * x) * y) = a(T(z,(x * y) \ 1),x,y). [para(5601(a,1),1050(a,1,2,1,1))]. 5638 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(5632(a,1),4753(a,1,2))]. 5640 L(x \ 1,y,y \ 1) \ (x \ 1) = (x \ 1) / (y * ((x * y) \ 1)). [para(5597(a,1),706(a,1,2)),flip(a)]. 5641 (x \ 1) \ (y * ((x * y) \ 1)) = x * L(x \ 1,y,y \ 1). [para(5597(a,1),859(a,1,2))]. 5643 (x \ y) * (z * (((x \ y) * z) \ 1)) = x \ (y * R(y \ x,z,z \ 1)). [para(5597(a,1),1244(a,1,2))]. 5644 (x * ((L(x,y,z) * x) \ 1)) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). [para(5597(a,1),1389(a,1,1))]. 5645 L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * R(x \ 1,u,u \ 1),y,z). [para(5597(a,1),1562(a,1,2))]. 5646 (T(x,y) * ((z * T(x,y)) \ 1)) \ 1 = L(z,T(x,y),T(x \ 1,y)). [hyper(230,a,1860,a,b,5607,a),flip(a)]. 5647 ((x * y) \ 1) * x = x * ((y * x) \ 1). [hyper(33,a,5584,a,b,5607,a)]. 5648 (x \ 1) \ (y * ((z * y) \ 1)) = (L(z,y,y \ 1) / x) \ 1. [para(5607(a,1),5616(a,1,1,1)),flip(a)]. 5649 (((T(x,y) * z) \ 1) * K(x,y)) * x = T(x,y) * ((z * T(x,y)) \ 1). [hyper(2535,a,5647,a)]. 5651 (x * (y \ K(z,u))) \ 1 != w | (K(u,z) * y) * (x \ 1) = w. [para(4801(a,1),5609(a,1,1,2))]. 5652 (x * (y * (z \ 1))) \ 1 != u | (z * (y \ 1)) * (x \ 1) = u. [para(5596(a,1),5609(a,1,1,2))]. 5653 x * ((x * L(x,y,z)) \ 1) = L(x,y,z) \ 1. [hyper(110,a,5621,a(flip))]. 5654 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(153,a,5633,a)]. 5655 (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). [hyper(404,a,5636,a)]. 5656 L(x \ y,x,y \ 1) = (x \ 1) * y. [para(614(a,1),5583(a,1,1,2))]. 5657 L(L(x \ y,x,y \ 1),z,(x \ y) \ 1) = (x \ 1) * y. [hyper(2833,a,5656,a)]. 5658 ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). [para(5656(a,1),291(a,1,2,1))]. 5659 L(K(L(x,y,z),u),L(x,y,z),L(T(x,u),y,z) \ 1) = (L(x,y,z) \ 1) * L(T(x,u),y,z). [para(1605(a,1),5656(a,1,1))]. 5660 L(K(x,L(y,z,u)),L(y,z,u),L(y * K(x,y),z,u) \ 1) = (L(y,z,u) \ 1) * L(y * K(x,y),z,u). [para(2010(a,1),5656(a,1,1))]. 5661 (x \ y) \ L(x \ y,x,y \ 1) = (((x \ 1) * y) \ (x \ y)) \ 1. [para(5656(a,1),5423(a,1,1,1)),flip(a)]. 5662 (x \ y) * (L(x \ y,x,y \ 1) \ 1) = ((x \ y) \ ((x \ 1) * y)) \ 1. [para(5656(a,1),5433(a,1,1,2)),flip(a)]. 5663 ((K(x,y) \ 1) * z) * (u \ 1) = (u * (z \ K(x,y))) \ 1. [para(1782(a,2),5600(a,2,1,1)),flip(a)]. 5664 a(x \ y,(x \ y) \ 1,y) = x * ((y \ 1) * (y / x)). [hyper(57,a,5407,a,b,5611,a)]. 5665 ((x \ 1) * ((y \ 1) * z)) / ((u \ 1) * w) = (((w \ 1) * u) \ (((z \ 1) * y) * x)) \ 1. [para(5591(a,1),5630(a,1,1))]. 5666 K(x \ 1,(x * y) * R(z,x,y)) = K(x \ 1,T((z * x) * y,y)). [para(5635(a,1),3949(a,1,2))]. 5667 (L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x)) \ 1 = (L(x \ L(x,y,z),u,w) \ 1) * (x \ L(x,y,z)). [para(2056(a,2),5590(a,1,1))]. 5668 K(x \ 1,y \ (z \ 1)) = K(x,((x * z) \ 1) \ y). [hyper(2054,a,5598,a),flip(a)]. 5669 K(x,((x * y) \ 1) \ z) != u | K(x,(y \ 1) \ z) = u. [para(5668(a,1),2054(a,1))]. 5670 K(x,(y \ 1) \ z) = K(x,(x * y) * z). [hyper(5669,a,4743,a)]. 5671 K(x,(x * y) * z) = K(x,y * z). [hyper(5003,a,5670,a),flip(a)]. 5672 K(x,(y * x) * z) = K(x,y * z). [hyper(57,a,3517,a,b,5671,a)]. 5673 T(x,(x * y) * z) = x * K(x,y * z). [para(5671(a,1),1592(a,2,2))]. 5674 T(x,(x * y) * z) = T(x,y * z). [hyper(230,a,1592,a,b,5673,a),flip(a)]. 5675 T(x,(x \ y) * z) = T(x,y * z). [para(5(a,1),5674(a,1,2,1)),flip(a)]. 5676 T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x,1 * u) * L(T(x \ 1,u),y,z). [para(5675(a,1),2911(a,1,1)),flip(a)]. 5677 (x \ 1) * T((R(x,y,z) / x) \ 1,u) = x \ T(R(x,y,z) \ x,u). [para(1122(a,1),5614(a,2,2,1))]. 5678 L((x \ 1) * y,z,(x \ y) \ 1) = (x \ 1) * y. [para(5656(a,1),5657(a,1,1))]. 5679 (x \ y) \ ((x \ 1) * y) != z | ((x \ y) \ 1) * ((x \ 1) * y) = z. [para(5678(a,1),1149(a,1,2))]. 5680 (L(x,y,y \ 1) / x) \ 1 = x * L(x \ 1,y,y \ 1). [hyper(57,a,5641,a(flip),b,5648,a),flip(a)]. 5681 (L(x,y,y \ 1) / x) \ 1 = x * (y * ((x * y) \ 1)). [para(5597(a,1),5680(a,2,2))]. 5682 (x \ L(x,y,y \ 1)) \ 1 = x * (y * ((x * y) \ 1)). [para(710(a,1),5681(a,1,1))]. 5683 x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. [para(1108(a,1),5682(a,1,1)),flip(a)]. 5684 x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). [hyper(230,a,5438,a(flip),b,5683,a),flip(a)]. 5685 a(x,y,(x * y) \ 1) = a(x,y,y \ 1). [hyper(5147,a,5683,a(flip))]. 5686 x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z. [para(5683(a,2),5439(a,1))]. 5687 a(x,x \ y,(x \ y) \ 1) = a(x,x \ y,y \ 1). [para(5(a,1),5685(a,1,3,1)),flip(a)]. 5688 x \ (y * ((x \ y) \ 1)) = a(x,x \ y,y \ 1). [hyper(57,a,435,a(flip),b,5687,a)]. 5689 ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). [hyper(57,a,5628,a(flip),b,5595,a)]. 5690 L(x \ 1,y,y \ 1) \ (x \ 1) = (((x * y) * (y \ 1)) \ x) \ 1. [hyper(230,a,5631,a(flip),b,5640,a),flip(a)]. 5691 (((x \ 1) * y) \ (x \ y)) \ 1 = (x \ y) \ ((x \ 1) * y). [para(5656(a,1),5661(a,1,2)),flip(a)]. 5692 (x \ y) \ ((x \ 1) * y) = a(x,x \ 1,y) \ 1. [para(3257(a,1),5691(a,1,1)),flip(a)]. 5693 (x \ y) \ ((x \ 1) * y) = a(y,x,x \ 1). [hyper(230,a,5436,a(flip),b,5692,a),flip(a)]. 5694 (x \ y) * a(y,x,x \ 1) = (x \ 1) * y. [hyper(110,a,5693,a)]. 5695 a((x \ 1) \ y,x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. [para(5(a,1),5693(a,1,2)),flip(a)]. 5696 L(a(x,y,y \ 1),y \ x,y) = x \ (y * ((y \ 1) * x)). [para(5693(a,1),298(a,1,1))]. 5697 L(a(x,y,y \ 1),y \ x,y) = x \ L(x,y,y \ 1). [para(1144(a,1),5696(a,2,2))]. 5698 L(a(x,y,y \ 1),y \ x,y) != z | a(x,y,y \ 1) = z. [para(5697(a,2),1112(a,1))]. 5699 K(x \ 1,T((y * x) * z,z)) = K((x * z) * R(y,x,z),x). [hyper(1751,a,5666,a),flip(a)]. 5700 K(x \ 1,T((y * x) * z,z)) = K(z * R(y,x,z),x). [hyper(230,a,3145,a(flip),b,5699,a),flip(a)]. 5701 K(x \ 1,y * (z * x)) = K(y * R(z,x,y),x). [hyper(5021,a,5700,a)]. 5702 K(x * R(y,z,x),z) = K(x * (y * z),z). [hyper(1751,a,5701,a),flip(a)]. 5703 K(x * R(y,z,x),z) = K(x * y,z). [hyper(230,a,2577,a(flip),b,5702,a),flip(a)]. 5704 ((x \ y) \ 1) * ((x \ 1) * y) = a(y,x,x \ 1). [hyper(5679,a,5693,a)]. 5705 a(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [para(4(a,1),5704(a,1,1,1)),flip(a)]. 5706 a(x * y,x,x \ 1) = (y \ 1) * L(y,x,x \ 1). [para(836(a,1),5705(a,2,2))]. 5707 a(x * y,x,x \ 1) = y \ L(y,x,x \ 1). [hyper(230,a,659,a(flip),b,5706,a),flip(a)]. 5708 a(x * y,x,x \ 1) = a(y,x,x \ 1). [hyper(230,a,1108,a(flip),b,5707,a),flip(a)]. 5709 a(x * y,x,x \ 1) != z | a(y,x,x \ 1) = z. [para(5707(a,2),1112(a,1))]. 5710 a(x \ y,x,x \ 1) = a(y,x,x \ 1). [para(5(a,1),5708(a,1,1)),flip(a)]. 5711 a(T(x,y),y \ x,(y \ x) \ 1) = a(y,y \ x,(y \ x) \ 1). [para(649(a,2),5708(a,1,1))]. 5712 a(x * ((y * x) \ z),T(x,y),T(x,y) \ 1) != u | a((x * y) \ z,T(x,y),T(x,y) \ 1) = u. [para(2556(a,1),5709(a,1,1))]. 5713 a(T(x,y),y \ x,(y \ x) \ 1) = y \ (x * ((y \ x) \ 1)). [hyper(230,a,435,a(flip),b,5711,a),flip(a)]. 5714 ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). [para(5596(a,1),5689(a,1,1,2,2))]. 5715 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(13(a,2),5714(a,1,1)),flip(a)]. 5716 L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. [hyper(57,a,2437,a(flip),b,5715,a)]. 5717 R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [para(614(a,1),5715(a,2,1,1))]. 5718 T(x,R(y,z \ 1,u \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. [para(5715(a,2),1028(a,1,1,2))]. 5719 R(x,y \ 1,z \ 1) \ L(x,L(x \ 1,y,z),L(x \ 1,y,z) \ 1) = x * L(x \ 1,y,z). [para(5715(a,2),927(a,1,1))]. 5720 R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x \ 1,x,u) \ 1. [para(3007(a,1),5715(a,2,1))]. 5721 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z). [para(5715(a,2),4348(a,1,2,1))]. 5723 L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. [para(253(a,1),5716(a,2,1))]. 5724 L(x,x \ 1,y \ 1) = (y \ (y / x)) \ 1. [para(2279(a,1),5716(a,2,1))]. 5725 L(L(x,x \ 1,y \ 1),L(x \ 1,x,y),y) = x. [para(5716(a,2),2322(a,1,1))]. 5726 L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). [para(5716(a,2),4349(a,2,2,1))]. 5727 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x,x \ 1,u \ 1),y,z). [para(5716(a,2),5545(a,2,2,1))]. 5728 R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1. [para(614(a,1),5717(a,1,2))]. 5729 R(x \ 1,y \ 1,z) = L(x,y,z \ 1) \ 1. [para(614(a,1),5717(a,1,3))]. 5730 (x \ 1) * (R(x \ 1,y \ 1,z \ 1) * u) = (L(x,y,z) \ 1) * ((x \ 1) * u). [para(5717(a,1),1118(a,1,1)),flip(a)]. 5731 L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(x,u,w) * (L(L(x,u,w),y,z) \ 1). [para(5717(a,1),1560(a,1,2)),flip(a)]. 5732 T(R(x \ 1,y \ 1,z \ 1) * u,x \ 1) = (L(x,y,z) \ 1) * T(u,x \ 1). [para(5717(a,1),3148(a,2,1))]. 5733 R(x * R(x \ 1,y \ 1,z \ 1),u,w) = R(x,u,w) * (L(R(x,u,w),y,z) \ 1). [para(5717(a,1),4354(a,1,2)),flip(a)]. 5734 R(x \ 1,y,z \ 1) != u \ 1 | L(x,y \ 1,z) = u. [para(5728(a,2),42(a,1))]. 5735 R(x \ 1,y \ 1,z) \ 1 = L(x,y,z \ 1). [hyper(623,a,5729,a(flip))]. 5736 R(x \ 1,y \ 1,y) = ((y * x) \ 1) * y. [hyper(33,a,5584,a,b,5735,a),flip(a)]. 5737 L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. [para(614(a,1),5735(a,1,1,2)),flip(a)]. 5738 L(x,y,z \ 1) \ 1 != u | R(x \ 1,y \ 1,z) = u. [para(5735(a,1),618(a,1,1))]. 5739 R(K(x,y),z \ 1,u) = K(x,L(y,z,u \ 1)). [para(5735(a,1),3370(a,1,2)),flip(a)]. 5740 ((x * (y \ 1)) \ 1) * x = R(y,x \ 1,x). [para(614(a,1),5736(a,1,1)),flip(a)]. 5741 x * (((y \ 1) * x) \ 1) = R(y,x \ 1,x). [hyper(57,a,5647,a(flip),b,5740,a)]. 5742 x * ((x \ 1) * y) = R(y,x \ 1,x). [para(5582(a,1),5741(a,1,2))]. 5743 R(x,y \ 1,y) = L(x,y,y \ 1). [hyper(1145,a,5742,a),flip(a)]. 5745 R(x \ 1,x,y) = L(x \ 1,x,y). [hyper(33,a,5716,a(flip),b,5737,a(flip)),flip(a)]. 5746 L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. [para(614(a,1),5737(a,2,1,1))]. 5747 L(a(x,y,y \ 1),z \ 1,u \ 1) = R(a(y,y \ 1,x),z,u) \ 1. [para(5438(a,1),5737(a,2,1,1))]. 5748 L((x \ 1) * y,z \ 1,u \ 1) = R((y \ 1) * x,z,u) \ 1. [para(5582(a,1),5737(a,2,1,1))]. 5749 L(x \ 1,y \ 1,T(z \ 1,u)) = R(x,y,T(z,u)) \ 1. [hyper(57,a,1860,a,b,5746,a)]. 5750 L((x \ 1) \ 1,x \ 1,(x \ 1) * (y \ 1)) = R(x \ 1,x,y) \ 1. [hyper(57,a,1332,a,b,5746,a)]. 5751 L(x \ 1,y \ 1,z) = R(x,y,z \ 1) \ 1. [hyper(57,a,1473,a(flip),b,5746,a)]. 5753 (x \ 1) * ((L(x \ 1,y \ 1,z \ 1) \ 1) * u) = ((R(x,y,z) \ 1) \ 1) * ((x \ 1) * u). [para(5746(a,1),5310(a,1,1,1)),flip(a)]. 5754 L(x \ 1,y \ 1,z \ 1) \ (x \ 1) = (R(x,y,z) \ x) \ 1. [para(5746(a,2),5617(a,1,1))]. 5755 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(33,a,5746,a(flip),b,5751,a(flip)),flip(a)]. 5756 L(L(L(x,x \ 1,y \ 1),z,u),L(x \ 1,x,y),y) = L(x,z,u). [para(5725(a,1),25(a,1,1)),flip(a)]. 5757 R(x,x \ 1,(L(x,y,z) \ u) \ 1) = R(x,x \ 1,u \ 1). [hyper(230,a,5715,a,b,5720,a),flip(a)]. 5758 (x \ 1) \ L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ x. [hyper(5434,a,5754,a)]. 5759 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [para(5746(a,1),5758(a,1,2))]. 5760 (R(x,y,z) / x) \ 1 = R(x,y,z) \ x. [hyper(57,a,5605,a(flip),b,5759,a)]. 5761 L(x \ 1,y,y \ 1) \ (x \ 1) = (L(x,y,y \ 1) \ x) \ 1. [para(1098(a,1),5690(a,2,1,1))]. 5762 L(x \ 1,y,y \ 1) \ (x \ 1) = a(y,y \ 1,x) \ 1. [para(1181(a,1),5761(a,2,1))]. 5763 a(x,x \ 1,y \ 1) = a(x,x \ 1,y) \ 1. [hyper(1195,a,5762,a)]. 5764 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [hyper(5440,a,5763,a)]. 5765 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [hyper(230,a,5436,a(flip),b,5763,a),flip(a)]. 5766 a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. [para(5763(a,2),5437(a,1))]. 5767 (x \ (y \ 1)) \ ((x \ 1) * (y \ 1)) = a(x,x \ 1,y). [hyper(57,a,5693,a,b,5764,a)]. 5768 a(x,x \ 1,y \ K(z,y)) = a(y,x,x \ 1). [hyper(57,a,5398,a,b,5765,a)]. 5769 ((x \ 1) * y) * a(x,y,y \ 1) = (y \ x) \ 1. [para(5765(a,1),5634(a,1,2))]. 5770 a(1 / x,x,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). [para(72(a,1),5768(a,1,2))]. 5771 a(x,x \ 1,T(y \ 1,z)) != u | a(T(y,z),x,x \ 1) = u. [para(1845(a,2),5766(a,1,3))]. 5772 a(x,x \ 1,y \ K(z,y)) != u | a(y,x,x \ 1) = u. [para(5398(a,2),5766(a,1))]. 5773 ((x \ 1) * y) \ ((y \ x) \ 1) = a(x,y,y \ 1). [hyper(101,a,5769,a)]. 5775 (x \ (y \ 1)) \ ((y * x) \ 1) = a(x,x \ 1,y). [para(5585(a,1),5767(a,1,2))]. 5776 a(x,x \ 1,y) != z \ ((y * x) \ 1) | x \ (y \ 1) = z. [para(5775(a,1),42(a,1))]. 5777 a(x \ 1,x,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). [hyper(57,a,1543,a(flip),b,5770,a)]. 5778 a(x,x \ 1,a(x,y,z)) != u \ ((x * a(x,y,z)) \ 1) | x \ (a(x,y,z) \ 1) = u. [para(1458(a,1),5776(a,2,2,1))]. 5779 a(x,x \ 1,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). [hyper(1196,a,5777,a)]. 5780 a(x,1 / y,(1 / y) \ 1) = a(x,y,y \ 1). [hyper(5772,a,5779,a),flip(a)]. 5781 a(x,y \ 1,(1 / y) \ 1) = a(x,y,y \ 1). [hyper(57,a,3319,a(flip),b,5780,a)]. 5782 a(x,y \ 1,(y \ 1) \ 1) = a(x,y,y \ 1). [para(613(a,1),5781(a,1,3,1))]. 5783 a(T(x,y),z,z \ 1) = a(z,z \ 1,x \ 1). [hyper(5771,a,5393,a)]. 5784 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(230,a,5765,a(flip),b,5783,a),flip(a)]. 5785 a(x,x \ 1,(y / z) \ 1) = a(z \ y,x,x \ 1). [para(95(a,1),5783(a,1,1)),flip(a)]. 5786 a(T(x,y),z,z \ 1) != u | a(x,z,z \ 1) = u. [para(5783(a,2),5766(a,1))]. 5788 a(R(x \ y,x,z),u,u \ 1) = a((y * z) / (x * z),u,u \ 1). [para(366(a,1),5784(a,1,1))]. 5789 a(x / y,z,z \ 1) != u | a(y \ x,z,z \ 1) = u. [para(742(a,1),5786(a,1,1))]. 5790 x \ (y * ((x \ y) \ 1)) != z | a(y,x \ y,(x \ y) \ 1) = z. [para(5713(a,1),5786(a,1))]. 5791 a(x,y \ x,(y \ x) \ 1) = a(y,y \ x,x \ 1). [hyper(5790,a,5688,a)]. 5793 a(R(x \ y,x,z),u,u \ 1) != w | a((x * z) \ (y * z),u,u \ 1) = w. [para(5788(a,2),5789(a,1))]. 5794 x * (T(y / (x \ 1),z) \ 1) = (x \ T(x * y,z)) \ 1. [para(456(a,1),5608(a,1,1)),flip(a)]. 5795 x * T((y / (x \ 1)) \ 1,z) = (x \ T(x * y,z)) \ 1. [para(1845(a,2),5794(a,1,2))]. 5796 (x \ T(x * y,z)) \ 1 = x * T(x \ (y \ 1),z). [para(5615(a,1),5795(a,1,2,1)),flip(a)]. 5797 (x \ 1) * (y * T(y \ (z \ 1),u)) = ((y \ T(y * z,u)) * x) \ 1. [para(5796(a,1),5585(a,1,2))]. 5798 (R(x \ 1,y,z) \ 1) / x = (x * R(x \ 1,y,z)) \ 1. [para(614(a,1),5629(a,1,1,1)),flip(a)]. 5799 L(x,y \ 1,z \ 1) / x = (x * R(x \ 1,y,z)) \ 1. [para(5737(a,2),5798(a,1,1))]. 5800 (x * R(x \ 1,y,z)) \ 1 = x \ L(x,y \ 1,z \ 1). [hyper(805,a,5799,a),flip(a)]. 5801 R(x \ 1,y,z) \ (x \ 1) = x \ L(x,y \ 1,z \ 1). [hyper(57,a,5593,a(flip),b,5800,a)]. 5802 L(x,y \ 1,z \ 1) \ x = x * R(x \ 1,y,z). [hyper(33,a,5423,a,b,5800,a)]. 5803 R(x * R(x \ 1,y,z),u \ 1,w \ 1) = L(x \ L(x,y \ 1,z \ 1),u,w) \ 1. [para(5800(a,1),5715(a,2,1,1))]. 5804 x \ y != y * R(y \ 1,z,u) | L(y,z \ 1,u \ 1) = x. [para(5802(a,1),42(a,1)),flip(a)]. 5805 L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T(x \ 1,y) * R(T(x,y),z,u). [para(1847(a,1),5802(a,2,2,1))]. 5806 T(x,y) * ((z * T(x,y)) \ 1) = ((x * z) \ 1) * x. [para(4840(a,1),5649(a,1,1)),flip(a)]. 5807 T(x,y) * ((z * T(x,y)) \ 1) = x * ((z * x) \ 1). [hyper(230,a,5647,a(flip),b,5806,a),flip(a)]. 5809 L(x,T(y,z),T(y \ 1,z)) = (y * ((x * y) \ 1)) \ 1. [para(5807(a,1),5646(a,1,1)),flip(a)]. 5810 L(x,T(y,z),T(y \ 1,z)) = L(x,y,y \ 1). [hyper(230,a,5607,a(flip),b,5809,a),flip(a)]. 5812 L(L(x \ 1,x,y),y,y \ 1) = (x \ T(y,z)) * T(y \ 1,z). [hyper(57,a,5265,a(flip),b,5810,a),flip(a)]. 5813 L(x,T(y \ 1,z),y) = L(x,y,y \ 1). [hyper(57,a,2904,a(flip),b,5810,a)]. 5814 T(x,y) * (T(x \ 1,y) * z) = L(z,x,x \ 1). [hyper(2956,a,5813,a)]. 5816 a(T(x,y),T(x,y) \ 1,z) = L(z,x,x \ 1) \ (1 * z). [para(5814(a,1),1850(a,1,1)),flip(a)]. 5817 a(T(x,y),T(x,y) \ 1,z) = a(x,x \ 1,z). [hyper(230,a,1154,a(flip),b,5816,a),flip(a)]. 5818 a(T(x,y),T(x,y) \ 1,z) != u | a(x,x \ 1,z) = u. [para(5816(a,2),1155(a,1))]. 5820 a(x,T(y,z),T(y,z) \ 1) = a(y,y \ 1,x \ K(u,x)). [hyper(5772,a,5817,a)]. 5822 a(T(x,y),T(x \ 1,y),z) != u | a(x,x \ 1,z) = u. [para(1845(a,2),5818(a,1,2))]. 5823 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [hyper(230,a,5768,a(flip),b,5820,a),flip(a)]. 5824 a(x,T(y,z),T(y,z) \ 1) != u | a(x,y,y \ 1) = u. [para(5820(a,2),5772(a,1))]. 5825 a(x,T(y,z),T(y \ 1,z)) = a(x,y,y \ 1). [para(1845(a,2),5823(a,1,3))]. 5826 a(x,K(y,z) * u,T((u * K(y,z)) \ 1,K(y,z))) = a(x,u * K(y,z),(u * K(y,z)) \ 1). [para(3800(a,1),5825(a,1,2))]. 5828 (x \ T(y,z)) * T(y \ 1,z) = (x \ y) * (y \ 1). [hyper(57,a,2335,a(flip),b,5812,a),flip(a)]. 5829 T(x \ 1,y) * (T(x,y) / z) = (z \ x) * (x \ 1). [hyper(57,a,2909,a,b,5828,a)]. 5831 (x \ 1) * T(R(x,y,z) \ x,u) = x \ T(R(x,y,z) \ x,u). [para(5760(a,1),5677(a,1,2,1))]. 5832 L(x,x \ 1,(x \ 1) * (y \ 1)) = R(x \ 1,x,y) \ 1. [para(614(a,1),5750(a,1,1))]. 5833 L(x,x \ 1,(y * x) \ 1) = R(x \ 1,x,y) \ 1. [para(5585(a,1),5832(a,1,3))]. 5834 L(x,x \ 1,(y * x) \ 1) = L(x,x \ 1,y \ 1). [hyper(230,a,5737,a,b,5833,a),flip(a)]. 5835 (x \ 1) * (y * T(y \ (((z * (u \ 1)) / y) \ 1),u)) = ((y \ (y * (((u \ 1) * z) / y))) * x) \ 1. [para(1070(a,1),5797(a,2,1,1,2))]. 5836 ((x \ 1) * ((L(x,y,z) \ 1) * u)) \ (((x * L(x,y,z)) \ 1) * u) = a(x \ 1,L(x,y,z) \ 1,u). [para(192(a,1),5594(a,1,2,1,1))]. 5837 ((L(x,y,z) \ 1) * (((x \ 1) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). [para(659(a,1),5594(a,1,2,1,1))]. 5838 (((L(x,y,z) \ 1) \ 1) * ((x \ 1) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). [para(1383(a,1),5594(a,1,2,1,1))]. 5839 ((x \ 1) * ((y * z) \ 1)) \ (((z * x) \ 1) * (y \ 1)) = a(x \ 1,z \ 1,y \ 1). [para(5585(a,1),5594(a,1,1,2))]. 5840 x \ (y * R(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). [hyper(5686,a,5643,a),flip(a)]. 5841 x \ (y * L(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). [para(1100(a,1),5840(a,1,2,2))]. 5842 L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ x). [hyper(1113,a,5841,a)]. 5843 L(a(x,y,y \ 1),y \ x,y) = a(y,y \ 1,x \ y). [para(5710(a,1),5842(a,1,1))]. 5844 a(x,x \ 1,y \ x) != z | a(y,x,x \ 1) = z. [para(5843(a,1),5698(a,1))]. 5845 ((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * (((x \ 1) * y) \ 1). [para(5656(a,1),5662(a,1,2,1)),flip(a)]. 5846 ((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * ((y \ 1) * x). [para(5582(a,1),5845(a,2,2))]. 5847 (x \ y) * ((y \ 1) * x) = a(y,x,x \ 1) \ 1. [para(5693(a,1),5846(a,1,1)),flip(a)]. 5848 (x \ y) * ((y \ 1) * x) = a(x,x \ 1,y). [hyper(230,a,5438,a(flip),b,5847,a),flip(a)]. 5849 (x \ y) \ a(x,x \ 1,y) = (y \ 1) * x. [hyper(101,a,5848,a)]. 5850 (x \ ((x \ 1) \ y)) * (((x \ y) \ 1) * (x \ 1)) = a(x \ 1,(x \ 1) \ 1,x \ y). [para(1200(a,1),5848(a,1,1))]. 5851 (x \ ((y / z) \ 1)) \ a(z \ y,x,x \ 1) = (((y / z) \ 1) \ 1) * x. [para(5785(a,1),5849(a,1,2))]. 5852 (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = (((y / x) \ 1) \ 1) * x. [para(5710(a,1),5851(a,1,2))]. 5853 (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = (y / x) * x. [para(614(a,1),5852(a,2,1))]. 5854 (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = y. [hyper(230,a,7,a(flip),b,5853,a),flip(a)]. 5856 (((x \ y) \ 1) * (x \ 1)) * L(((x \ 1) \ 1) * (x \ y),z,u) = ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)). [para(1200(a,1),5658(a,2,2,2,1))]. 5857 ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,(x * y) \ 1),x,y). [para(5655(a,1),5637(a,1,2))]. 5858 ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,y \ (x \ 1)),x,y). [para(5601(a,1),5857(a,2,1))]. 5859 L(x * R(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). [hyper(5686,a,5645,a),flip(a)]. 5860 L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). [para(1100(a,1),5859(a,1,1,2))]. 5861 L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)). [para(5597(a,1),5860(a,1,1,2))]. 5862 a(x,x \ 1,L(y,z,y * x)) = y * (x * ((y * x) \ 1)). [hyper(57,a,4341,a(flip),b,5861,a),flip(a)]. 5863 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [para(5684(a,1),5861(a,1,1)),flip(a)]. 5864 a(x,x \ 1,L((x \ 1) * y,z,u)) = L(a(x,x \ 1,y),z,u). [para(3272(a,1),5863(a,2,1))]. 5865 R(a(x,x \ 1,y) \ 1,z,u \ 1) = a(x,x \ 1,L(y,z \ 1,u)) \ 1. [para(5863(a,2),5728(a,2,1))]. 5866 a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). [para(5765(a,1),5863(a,2,1))]. 5867 a(x,x \ 1,L(y,z,y * x)) != u | a(x,x \ 1,y) = u. [para(5862(a,2),5686(a,1))]. 5868 a(x,x \ 1,L(y \ K(y,z),u,w)) = L(a(y,x,x \ 1),u,w). [hyper(57,a,5403,a,b,5866,a)]. 5869 L(a(x,y,y \ 1),z \ 1,u \ 1) = a(y,y \ 1,R(x,z,u) \ 1). [para(5746(a,1),5866(a,1,3)),flip(a)]. 5870 a(x,x \ 1,L((x \ 1) * y,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(230,a,5863,a,b,5864,a),flip(a)]. 5871 a(x,x \ 1,L(y \ z,x,y)) = a(x,x \ 1,(y * x) \ z). [hyper(57,a,3347,a(flip),b,5870,a),flip(a)]. 5872 a(x,x \ 1,R(y,z,u) \ 1) = R(a(x,x \ 1,y),z,u) \ 1. [hyper(57,a,5747,a(flip),b,5869,a),flip(a)]. 5873 R(a(x,x \ 1,y),z,u) \ 1 = a(R(y,z,u),x,x \ 1). [hyper(5766,a,5872,a),flip(a)]. 5875 L(a(x,x \ 1,y) \ 1,z \ 1,u) = a(R(y,z,u \ 1),x,x \ 1). [hyper(57,a,5751,a,b,5873,a)]. 5876 a(R(x \ y,z,u),x,x \ 1) = R(a(x,x \ 1,y),z,u) \ 1. [para(3260(a,1),5873(a,1,1,1)),flip(a)]. 5877 a(R(x \ y,z,u),x,x \ 1) = a(R(y,z,u),x,x \ 1). [hyper(230,a,5873,a(flip),b,5876,a),flip(a)]. 5878 a((x * y) \ (z * y),x,x \ 1) = a(R(z,x,y),x,x \ 1). [hyper(5793,a,5877,a)]. 5879 a(R(x,y,z \ 1),u,u \ 1) = L(a(x,u,u \ 1),y \ 1,z). [para(5436(a,1),5875(a,1,1)),flip(a)]. 5880 R(a(x,x \ 1,y) \ 1,z,u \ 1) = a(L(y,z \ 1,u),x,x \ 1). [hyper(230,a,5436,a(flip),b,5865,a),flip(a)]. 5881 a(L(x,y \ 1,z),u,u \ 1) = R(a(x,u,u \ 1),y,z \ 1). [para(5436(a,1),5880(a,1,1)),flip(a)]. 5882 T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x,u) * L(T(x \ 1,u),y,z). [para(2(a,1),5676(a,2,1,2))]. 5883 T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x * L(x \ 1,y,z),u). [hyper(230,a,1858,a(flip),b,5882,a),flip(a)]. 5884 T(x * L(x \ 1,y,z),x \ u) = T(x * L(x \ 1,y,z),u). [hyper(4836,a,5883,a)]. 5885 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(57,a,569,a(flip),b,5884,a)]. 5886 (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). [para(5884(a,1),93(a,1,2))]. 5887 x \ ((y \ x) * L((y \ x) \ ((x \ (x / y)) \ (y \ x)),z,u)) = T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x). [para(719(a,1),5885(a,1,1))]. 5888 ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x). [para(719(a,1),5886(a,1,1)),flip(a)]. 5889 ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T((x \ 1) * L((x \ 1) \ 1,y,z),L(u,x,x \ 1)). [para(847(a,1),5886(a,1,1)),flip(a)]. 5890 (L(x,y,z) \ 1) * ((x \ 1) * u) = (x \ 1) * ((L(x,y,z) \ 1) * u). [para(5717(a,1),5730(a,1,2,1)),flip(a)]. 5891 (L(x,y,z) \ 1) \ ((x \ 1) * u) = (x \ 1) * ((L(x,y,z) \ 1) \ u). [hyper(28,a,223,a,b,5890,a)]. 5892 ((x \ 1) * ((L(x,y,z) \ 1) * u)) \ (((x * L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,x \ 1,u). [para(5890(a,1),5594(a,1,1))]. 5893 T((L(x,y,z) \ 1) * u,x \ 1) = (L(x,y,z) \ 1) * T(u,x \ 1). [para(5717(a,1),5732(a,1,1,1))]. 5894 T(x * L(y,z,u),y \ 1) = T(x,y \ 1) * L(y,z,u). [hyper(1193,a,5893,a),flip(a)]. 5895 T(L(x,y,z) \ u,x \ 1) = L(x,y,z) \ T(u,x \ 1). [hyper(907,a,5894,a),flip(a)]. 5896 (x \ 1) * T(y * L(x,z,u),x \ 1) = (y * (x \ 1)) * L(x,z,u). [para(5894(a,2),1163(a,1,2))]. 5897 (x * L(y,z,u)) * (y \ 1) = (x * (y \ 1)) * L(y,z,u). [hyper(216,a,5896,a)]. 5898 (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * L(y * (z * ((y * z) \ 1)),u,w)) * a(y,z,(y * z) \ 1). [para(78(a,1),5897(a,1,2)),flip(a)]. 5899 (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * L(a(y,z,(y * z) \ 1),u,w)) * (y * (z * ((y * z) \ 1))). [para(5117(a,1),5897(a,1,2)),flip(a)]. 5900 L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(L(x,u,w),y,z) \ L(x,u,w). [hyper(230,a,1383,a(flip),b,5731,a),flip(a)]. 5901 L(L(x,y,z),u,w) \ L(x,y,z) = L(x * (L(x,u,w) \ 1),y,z). [para(5717(a,1),5900(a,1,1,2)),flip(a)]. 5902 L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z). [para(1383(a,1),5901(a,2,1))]. 5903 L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,y,z) \ x,u,w). [para(25(a,1),5902(a,1,1))]. 5904 L(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ L(x,u,L(x,w,v5)). [para(601(a,1),5902(a,1,1,1)),flip(a)]. 5905 L(L((x \ 1) \ y,z,u),x,x \ 1) \ L((x \ 1) \ y,z,u) = L((x * y) \ ((x \ 1) \ y),z,u). [para(1143(a,1),5902(a,2,1,1))]. 5906 L(x,y,z) \ L(L(x,y,z),u,w) = L(L(x,u,w) \ x,y,z) \ 1. [para(5902(a,1),5423(a,1,1)),flip(a)]. 5907 L(x,y,z) * (L(L(x,u,w) \ x,y,z) \ 1) = L(L(x,y,z),u,w). [hyper(110,a,5906,a)]. 5908 L(L(x \ 1,x,y) \ (x \ 1),z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). [para(2285(a,1),5906(a,1,2)),flip(a)]. 5909 L(L(x,x \ 1,y \ 1),z,u) \ L(L(L(x,x \ 1,y \ 1),z,u),L(x \ 1,x,y),y) = L(x \ L(x,x \ 1,y \ 1),z,u) \ 1. [para(5725(a,1),5906(a,2,1,1,1))]. 5910 L(x,y,z) \ L(L(x,y,z),u,w) != v5 | L(L(x,u,w) \ x,y,z) \ 1 = v5. [para(5907(a,1),241(a,1,2))]. 5911 L(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ x. [para(601(a,1),5904(a,2,2))]. 5912 L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x. [hyper(57,a,1471,a(flip),b,5911,a)]. 5913 L(x,y,z) * (u * ((L(x,y,z) * u) \ (x * u))) = (L(x,y,z) * (L(x,y,z) \ x)) * u. [para(5911(a,1),1411(a,1,1,2)),flip(a)]. 5914 L(x * y,y,x) \ (x * y) = a(x,y,x * y). [hyper(1325,a,5912,a),flip(a)]. 5915 (x * y) \ L(x * y,y,x) = a(x,y,x * y) \ 1. [para(5914(a,1),5423(a,1,1)),flip(a)]. 5916 a(x,y,x * y) \ 1 != z | (x * y) \ L(x * y,y,x) = z. [para(5914(a,1),5435(a,1,1))]. 5917 a(x * y,y \ (x \ y),(x * y) * (y \ (x \ y))) \ 1 = y \ L((x * y) * (y \ (x \ y)),y \ (x \ y),x * y). [para(2317(a,1),5915(a,1,1)),flip(a)]. 5918 R(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(R(x,u,w),y,z) \ R(x,u,w). [hyper(230,a,1383,a(flip),b,5733,a),flip(a)]. 5919 L(R(x,y,z),u,w) \ R(x,y,z) = R(x * (L(x,u,w) \ 1),y,z). [para(5717(a,1),5918(a,1,1,2)),flip(a)]. 5920 L(R(x,y,z),u,w) \ R(x,y,z) = R(L(x,u,w) \ x,y,z). [para(1383(a,1),5919(a,2,1))]. 5921 L(L(x,x \ 1,y),z,u) \ R(x,x \ 1,y) = R(L(x,z,u) \ x,x \ 1,y). [para(2437(a,1),5920(a,1,1,1))]. 5922 L(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = R(L(x,z,u) \ x,x \ 1,y). [para(2437(a,1),5921(a,1,2))]. 5923 R(L(x,y,z) \ x,x \ 1,u) = L(L(x,y,z) \ x,x \ 1,u). [hyper(57,a,5902,a(flip),b,5922,a),flip(a)]. 5924 L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u). [para(5754(a,1),5923(a,1,1)),flip(a)]. 5925 (((x * y) * z) \ 1) \ (((y * z) \ 1) * (x \ 1)) = a(z \ 1,y \ 1,x \ 1). [para(5585(a,1),5839(a,1,1))]. 5926 (((x * y) * z) \ 1) \ ((x * (y * z)) \ 1) = a(z \ 1,y \ 1,x \ 1). [para(5585(a,1),5925(a,1,2))]. 5927 ((x * (y * z)) / ((x * y) * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). [hyper(57,a,5605,a(flip),b,5926,a)]. 5928 ((x * y) \ ((x * (y * z)) / z)) \ 1 = a(z \ 1,y \ 1,x \ 1). [para(5200(a,1),5927(a,1,1))]. 5930 a((x * y) \ 1,y \ 1,x \ 1) = ((x * y) \ L(x * y,y,x)) \ 1. [para(460(a,1),5928(a,1,1,2)),flip(a)]. 5931 L(x \ L(x,y,z),x,z * y) \ 1 = a(x \ 1,y \ 1,z \ 1). [para(3050(a,2),5928(a,1,1))]. 5932 ((x * y) \ ((x * (y * z)) / z)) * (u \ 1) = (u * a(z \ 1,y \ 1,x \ 1)) \ 1. [para(5928(a,1),5596(a,1,1,2)),flip(a)]. 5933 L(x \ L(x,T(y,z),z),x,y * z) \ 1 = a(x \ 1,T(y,z) \ 1,z \ 1). [para(93(a,1),5931(a,1,1,3))]. 5934 a((x * y) \ 1,y \ 1,x \ 1) = (a(x,y,x * y) \ 1) \ 1. [para(5915(a,1),5930(a,2,1))]. 5935 a((x * y) \ 1,y \ 1,x \ 1) = a(x,y,x * y). [hyper(230,a,614,a(flip),b,5934,a),flip(a)]. 5936 L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,T(y,z) \ 1,z \ 1). [para(2813(a,1),5933(a,1,1,1,2))]. 5937 L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,T(y \ 1,z),z \ 1). [para(1845(a,2),5936(a,2,2))]. 5938 (x \ ((x \ 1) \ y)) * ((x * (x \ y)) \ 1) = a(x \ 1,(x \ 1) \ 1,x \ y). [para(5585(a,1),5850(a,1,2))]. 5939 a(x \ 1,(x \ 1) \ 1,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). [para(5(a,1),5938(a,1,2,1)),flip(a)]. 5941 a(x \ 1,x,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). [para(614(a,1),5939(a,1,2))]. 5942 a(x,x \ 1,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). [hyper(1196,a,5941,a)]. 5943 (x \ ((x \ 1) \ y)) * (y \ 1) = a(x,x \ 1,y). [hyper(57,a,3260,a(flip),b,5942,a),flip(a)]. 5944 (x \ ((x \ 1) \ y)) \ a(x,x \ 1,y) = y \ 1. [hyper(101,a,5943,a)]. 5945 K(x \ 1,y \ ((x * a(z \ 1,u \ 1,w \ 1)) \ 1)) != v5 | K(x \ 1,y \ ((w * u) \ ((w * (u * z)) / z))) = v5. [para(5932(a,1),3582(a,1,2,2))]. 5946 (x \ 1) * (((((x \ y) \ 1) \ 1) / y) \ 1) = x \ ((y \ 1) \ ((y \ 1) / (x \ 1))). [para(5627(a,1),5625(a,1,2,1,1,1))]. 5947 x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x \ 1) * (((x \ y) / y) \ 1). [para(614(a,1),5946(a,1,2,1,1)),flip(a)]. 5948 x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x \ 1) * ((y \ (y / x)) \ 1). [para(718(a,1),5947(a,2,2,1))]. 5949 x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = ((y \ (y / x)) * x) \ 1. [hyper(230,a,5585,a(flip),b,5948,a),flip(a)]. 5950 x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x * (y \ (y / x))) \ 1. [para(2716(a,1),5949(a,2,1))]. 5951 x \ ((y \ 1) \ ((x \ y) \ 1)) = (x * (y \ (y / x))) \ 1. [para(5627(a,1),5950(a,1,2,2))]. 5952 (x * (y \ (y / x))) \ 1 = x \ (((x \ y) / y) \ 1). [para(5605(a,1),5951(a,1,2)),flip(a)]. 5953 (x * (y \ (y / x))) \ 1 = x \ ((y \ (y / x)) \ 1). [para(718(a,1),5952(a,2,2,1))]. 5954 (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = ((x \ (x / y)) * ((x * y) \ ((x * y) * y))) \ 1. [para(2384(a,1),5953(a,1,1,2,2)),flip(a)]. 5955 L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T(x,y) \ R(T(x,y),z,u). [hyper(230,a,1852,a(flip),b,5805,a),flip(a)]. 5956 L(x,y,z) * (u * ((L(x,y,z) * u) \ (x * u))) = x * u. [hyper(230,a,123,a(flip),b,5913,a),flip(a)]. 5958 x * ((L(y,z,u) * x) \ (y * x)) = L(y,z,u) \ (y * x). [hyper(101,a,5956,a),flip(a)]. 5959 x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x). [hyper(230,a,1382,a(flip),b,5958,a),flip(a)]. 5960 (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)). [hyper(101,a,5959,a),flip(a)]. 5961 x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). [para(5223(a,2),5959(a,1,2)),flip(a)]. 5962 (x * L(y,x,z)) \ (x * y) = x \ (y * (L(y,x,z) \ x)). [hyper(57,a,5071,a(flip),b,5960,a)]. 5963 (x \ y) \ (x * (L(x,z,u) \ (x \ y))) = (L(x,z,u) * (x \ y)) \ y. [para(5(a,1),5960(a,1,2)),flip(a)]. 5964 x \ ((y / x) * (L(y / x,z,u) \ x)) = (L(y / x,z,u) * x) \ y. [para(7(a,1),5960(a,1,2)),flip(a)]. 5965 x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (T(y,x \ y) * x). [para(746(a,1),5960(a,1,1)),flip(a)]. 5966 (L(x,y,z) * (x \ u)) \ u = (x \ u) \ (L(x,y,z) \ u). [para(1390(a,1),5963(a,1,2)),flip(a)]. 5967 x \ ((y / x) * (L(y / x,z,u) \ x)) = (x * L(x \ y,z,u)) \ y. [para(355(a,1),5964(a,2,1))]. 5968 (x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y). [para(1391(a,1),5967(a,1,2)),flip(a)]. 5969 x \ (L((y \ z) / x,x,y) \ (y \ z)) = (x * ((y * x) \ z)) \ (y \ z). [para(222(a,1),5968(a,1,1,2)),flip(a)]. 5970 (L(x,y,z) \ 1) * L(T(x,u),y,z) = K(L(x,y,z),u). [hyper(57,a,2520,a(flip),b,5659,a),flip(a)]. 5972 (x \ 1) * ((L(x \ 1,y \ 1,z \ 1) \ 1) * u) = R(x,y,z) * ((x \ 1) * u). [para(614(a,1),5753(a,2,1))]. 5973 (x \ 1) * (((R(x,y,z) \ 1) \ 1) * u) = R(x,y,z) * ((x \ 1) * u). [para(5746(a,1),5972(a,1,2,1,1))]. 5974 R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u). [para(614(a,1),5973(a,1,2,1)),flip(a)]. 5975 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(5974(a,1),517(a,1,1))]. 5976 a(R(x,y,z),x \ 1,u) = a(x \ 1,R(x,y,z),u). [hyper(860,a,5975,a),flip(a)]. 5977 a(x,K(y,z) * u,T(K(z,y) / u,K(y,z))) = a(x,u * K(y,z),(u * K(y,z)) \ 1). [para(4778(a,1),5826(a,1,3,1))]. 5978 a(x,y * K(z,u),(y * K(z,u)) \ 1) = a(x,K(z,u) * y,y \ K(u,z)). [para(3804(a,1),5977(a,1,3)),flip(a)]. 5979 a(x,K(y,z) * u,u \ K(z,y)) = a(x,u * K(y,z),K(z,y) / u). [para(4778(a,1),5978(a,1,3)),flip(a)]. 5980 x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (y * (K(x,y) * x)). [para(1780(a,1),5965(a,2,2))]. 5981 x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (x * y). [para(1651(a,1),5980(a,2,2))]. 5982 x \ (T(y,x \ y) * (x / L(y,z,u))) = (x * L(y,z,u)) \ (x * y). [para(889(a,1),5981(a,1,2,2))]. 5983 x \ (y * (K(x,y) * (x / L(y,z,u)))) = (x * L(y,z,u)) \ (x * y). [para(1780(a,1),5982(a,1,2))]. 5984 (x * L(y,z,u)) \ (x * y) = x \ ((x / L(y,z,u)) * y). [para(4907(a,1),5983(a,1,2)),flip(a)]. 5985 (x / y) \ (((x / y) / L(y,z,u)) * y) = ((x / y) * L(y,z,u)) \ x. [para(7(a,1),5984(a,1,2)),flip(a)]. 5986 ((x / y) * L(y,z,u)) \ x = (x / y) \ (x / L(y,z,u)). [para(1359(a,1),5985(a,1,2)),flip(a)]. 5987 a((x * y) \ z,T(x,y),T(x,y) \ 1) = a(x * ((y * x) \ z),x,x \ 1). [hyper(5712,a,5823,a)]. 5988 a((x * y) \ z,T(x,y),T(x,y) \ 1) = a((y * x) \ z,x,x \ 1). [hyper(230,a,5708,a(flip),b,5987,a),flip(a)]. 5989 a((x * y) \ z,y,y \ 1) != u | a((y * x) \ z,y,y \ 1) = u. [para(5988(a,1),5824(a,1))]. 5990 R(x,y \ 1,z \ 1) \ L(x,L(x \ 1,y,z),R(x,y \ 1,z \ 1)) = x * L(x \ 1,y,z). [para(5715(a,2),5719(a,1,2,3))]. 5991 R(x,y \ 1,z \ 1) \ x = x * L(x \ 1,y,z). [para(602(a,1),5990(a,1,2))]. 5992 R(L(x \ 1,y,z),u \ 1,w \ 1) \ L(x \ 1,y,z) = L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w). [para(5715(a,2),5991(a,2,2,1))]. 5993 (x \ 1) * (y * T(y \ ((y \ 1) \ (z * (u \ 1))),z)) = ((y \ (y * (((z \ 1) * u) / y))) * x) \ 1. [para(5618(a,1),5835(a,1,2,2,1,2))]. 5994 a(L(x,y,z) \ 1,x \ 1,u) = a(x \ 1,L(x,y,z) \ 1,u). [hyper(57,a,5836,a(flip),b,5892,a),flip(a)]. 5995 L(x * y,z,u) \ L((x \ 1) \ y,z,u) = L((x * y) \ ((x \ 1) \ y),z,u). [para(1150(a,1),5905(a,1,1))]. 5996 L(x * y,z,u) \ L((x \ 1) \ y,z,u) = L(a(x,x \ 1,y),z,u). [para(3252(a,1),5995(a,2,1))]. 5997 L(x * y,z,u) \ L((x \ 1) \ y,z,u) = a(x,x \ 1,L(y,z,u)). [hyper(230,a,5863,a,b,5996,a),flip(a)]. 5998 L((x \ 1) \ y,z,u) \ L(x * y,z,u) = a(x,x \ 1,L(y,z,u)) \ 1. [para(5997(a,1),5563(a,1,1)),flip(a)]. 5999 L((x \ 1) \ y,z,u) \ L(x * y,z,u) = a(L(y,z,u),x,x \ 1). [hyper(230,a,5436,a(flip),b,5998,a),flip(a)]. 6000 L(x \ y,z,u) \ L((x \ 1) * y,z,u) = a(L(y,z,u),x \ 1,(x \ 1) \ 1). [para(614(a,1),5999(a,1,1,1,1))]. 6001 L(x \ y,z,u) \ L((x \ 1) * y,z,u) = a(L(y,z,u),x,x \ 1). [hyper(230,a,5782,a(flip),b,6000,a),flip(a)]. 6002 a(L(x \ y,z,u),x,x \ 1) = a(L(y,z,u),x,x \ 1). [hyper(57,a,1550,a,b,6001,a)]. 6003 ((x \ (x * (((y \ 1) * z) / x))) * u) \ 1 = (u \ 1) * ((x \ 1) \ T(y * (z \ 1),y)). [para(1116(a,1),5993(a,1,2)),flip(a)]. 6004 ((x \ (x * (((y \ 1) * z) / x))) * u) \ 1 = (u \ 1) * ((x \ 1) \ ((z \ 1) * y)). [para(589(a,1),6003(a,2,2,2))]. 6005 (x \ 1) * ((y \ 1) \ ((z \ 1) * u)) = ((((u \ 1) * z) / y) * x) \ 1. [para(4(a,1),6004(a,1,1,1)),flip(a)]. 6007 (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = (((z \ 1) * (y * x)) \ (((z \ 1) * y) * x)) \ 1. [hyper(230,a,5665,a(flip),b,5602,a),flip(a)]. 6008 (x * ((x * L(x,y,z)) \ 1)) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). [para(192(a,1),5644(a,1,1,2,1))]. 6009 (L(x,y,z) \ 1) * L(x * K(u,x),y,z) = K(u,L(x,y,z)). [hyper(57,a,2524,a(flip),b,5660,a),flip(a)]. 6011 (L(x,y,z) \ 1) * L(T(x,u \ x),y,z) = K(u,L(x,y,z)). [para(1637(a,2),6009(a,1,2,1))]. 6012 K(L(x,y,z),u \ x) = K(u,L(x,y,z)). [hyper(57,a,5970,a(flip),b,6011,a)]. 6013 K(x * y,L(x,z,u)) = K(y,L(x,z,u)). [hyper(5344,a,6012,a),flip(a)]. 6014 K(x,L(y \ x,z,u)) = K(y,L(x,z,u)). [hyper(4692,a,6012,a)]. 6015 K(L(x \ 1,y,z),(x / u) \ 1) = K(u \ 1,L(x \ 1,y,z)). [para(5605(a,1),6012(a,1,2))]. 6016 K(x,L(y,z,u)) * (y * (x * L(y \ 1,z,u))) = L(y \ 1,z,u) * (y * x). [para(6013(a,1),5488(a,1,1))]. 6017 T(x,L(y \ x,z,u)) = x * K(y,L(x,z,u)). [para(6014(a,1),1592(a,2,2))]. 6018 T(x,L(y \ x,z,u)) = K(y,L(x,z,u)) * x. [para(6014(a,1),1610(a,2,1))]. 6019 T(x,L(y \ x,z,u)) * w = x * (K(y,L(x,z,u)) * w). [para(6014(a,1),1596(a,1,2,1)),flip(a)]. 6020 T(x,L(y \ x,z,u)) * w = K(y,L(x,z,u)) * (x * w). [para(6014(a,1),1778(a,1,1)),flip(a)]. 6021 T(x,L(y \ 1,z,u)) = T(x,L(y \ x,z,u)). [hyper(4644,a,6017,a(flip))]. 6022 T(T(x,L(y \ x,z,u)),y) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). [para(6017(a,2),3463(a,1,1,1))]. 6023 (x * K(L(y \ z,u,w),z)) / z = x / (K(y,L(z,u,w)) * z). [para(6018(a,1),2512(a,2,2))]. 6024 (x / T(y,L(z \ y,u,w))) \ x = T(y,L(z \ 1,u,w)). [hyper(230,a,72,a,b,6021,a)]. 6025 K(x,L(y,z,u)) * (y * w) = y * (K(x,L(y,z,u)) * w). [hyper(57,a,6019,a(flip),b,6020,a),flip(a)]. 6026 K(x \ 1,L(y \ 1,z,u)) = K(y / x,L(y \ 1,z,u)). [hyper(1892,a,6015,a),flip(a)]. 6027 K(x / y,L(x \ 1,z,u)) = K(x \ 1,L(y,z,u)). [hyper(4693,a,6026,a),flip(a)]. 6028 K(x \ 1,L(y,z,u)) = K(x,L(x / y,z,u)). [hyper(4636,a,6027,a),flip(a)]. 6029 K(x,L(x / y,z,u)) = K(y,L(x,z,u)). [hyper(4693,a,6028,a),flip(a)]. 6030 K(x \ y,L(y,z,u)) = K(y,L(x,z,u)). [para(69(a,1),6029(a,1,2,1)),flip(a)]. 6031 (x * K(y \ z,L(z,u,w))) / z = x / (K(y,L(z,u,w)) * z). [para(4624(a,1),6023(a,1,1,2))]. 6032 (x * K(y,L(z,u,w))) / y = x / (K(z,L(y,u,w)) * y). [para(6030(a,1),6031(a,1,1,2))]. 6033 x / (K(y,L(z,u,w)) * z) = (x / z) * K(z,L(y,u,w)). [hyper(57,a,2485,a(flip),b,6032,a),flip(a)]. 6034 x / T(y,L(z \ y,u,w)) = (x / y) * K(y,L(z,u,w)). [para(6018(a,2),6033(a,1,2))]. 6035 ((x / y) * K(y,L(z,u,w))) \ x = T(y,L(z \ 1,u,w)). [para(6034(a,1),6024(a,1,1))]. 6036 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(57,a,2539,a(flip),b,6035,a),flip(a)]. 6037 T(x * y,L(z,y,x) \ 1) = T(x * y,z \ 1). [hyper(57,a,5074,a(flip),b,6036,a),flip(a)]. 6038 T(x * (x \ y),((x \ y) \ z) \ 1) = T(x * (x \ y),(y \ (x * z)) \ 1). [para(298(a,1),6037(a,1,2,1)),flip(a)]. 6039 L(x,y,z) \ T(z * y,x \ 1) = (z * y) / L(x,y,z). [para(6037(a,1),1039(a,1,2))]. 6040 T(L(x,y,z) \ (z * y),x \ 1) = (z * y) / L(x,y,z). [hyper(57,a,5895,a,b,6039,a)]. 6041 ((x * y) / L(z,y,x)) * z = z * (L(z,y,x) \ (x * y)). [para(6040(a,1),1028(a,1,1))]. 6042 ((x * y) / L(z,y,x)) * z = (x * y) * a(x,y,z). [hyper(230,a,5961,a(flip),b,6041,a),flip(a)]. 6043 L(x,y,z) = ((z * y) * a(z,y,x)) \ ((z * y) * x). [para(6042(a,1),1357(a,1,1)),flip(a)]. 6044 T(x * (x \ y),((x \ y) \ z) \ 1) = T(y,(y \ (x * z)) \ 1). [para(5(a,1),6038(a,2,1))]. 6045 T(x * (x \ y),((x \ y) \ z) \ 1) = T(y,(x * z) \ y). [hyper(230,a,2067,a(flip),b,6044,a),flip(a)]. 6046 T(x,((y \ x) \ z) \ 1) = T(x,(y * z) \ x). [para(5(a,1),6045(a,1,1))]. 6047 T(x,(y * z) \ x) = T(x,z \ (y \ x)). [hyper(2100,a,6046,a),flip(a)]. 6048 T(T(x,y * z),z \ (y \ x)) = x. [hyper(744,a,6047,a)]. 6049 T(x,(y \ x) \ z) = T(x,y * z). [hyper(2069,a,6048,a)]. 6050 T(x,(x / y) * z) = T(x,y \ z). [para(72(a,1),6049(a,1,2,1)),flip(a)]. 6051 T(x,(y \ x) * z) = T(x,y \ z). [hyper(57,a,3510,a(flip),b,6050,a)]. 6052 x * (K(y,L(x,z,u)) * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). [hyper(57,a,6025,a(flip),b,6016,a)]. 6053 T(T(x,y),L(y \ x,z,u)) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). [para(18(a,1),6022(a,1,1))]. 6054 x * (T(y,L(x,z,u)) * L(x \ 1,z,u)) = L(x \ 1,z,u) * (x * y). [para(1778(a,1),6052(a,1,2))]. 6055 L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R(x \ R(x,y,z),(x \ 1) \ 1,u). [para(2329(a,1),5924(a,2,1))]. 6056 L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). [para(614(a,1),6055(a,2,2))]. 6057 L((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). [para(5754(a,1),6056(a,1,1))]. 6058 L(x \ R(x,y,z),(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). [para(2329(a,1),6057(a,1,1))]. 6059 R(x \ R(x,y,z),x,u) = L(x \ R(x,y,z),x,u). [hyper(57,a,5295,a(flip),b,6058,a),flip(a)]. 6060 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(5141,a,6059,a)]. 6061 L(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. [para(6059(a,1),5141(a,1))]. 6062 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(230,a,83,a(flip),b,6060,a),flip(a)]. 6063 L(x \ R(x,y / z,z),x,y) = a(x,y / z,z). [para(7(a,1),6060(a,2,3)),flip(a)]. 6064 L(T(x \ R(x,y,z),u),x,y * z) = T(a(x,y,z),u). [para(6060(a,2),20(a,2,1))]. 6065 L(R(x \ R(x,y,z),u,w),x,y * z) = R(a(x,y,z),u,w). [para(6060(a,2),24(a,1,1)),flip(a)]. 6066 L(L(x \ R(x,y,z),u,w),x,y * z) = L(a(x,y,z),u,w). [para(6060(a,2),25(a,1,1)),flip(a)]. 6067 L(x \ R(x,T(y,z),z),x,T(y * z,z)) = a(x,T(y,z),z). [para(652(a,2),6060(a,2,3)),flip(a)]. 6068 L(x \ R(x,y \ z,y),x,z) = a(x,z / y,y). [para(2677(a,1),6063(a,1,1,2))]. 6069 a(T(x,y \ (z \ 1)),z,y) = a(x,z,y). [hyper(230,a,5858,a(flip),b,6062,a)]. 6070 a(x,y,z) = (y * z) \ (((y * z) / x) * R(x,y,z)). [hyper(230,a,3039,a(flip),b,6062,a),flip(a)]. 6071 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(4196,a,6062,a(flip))]. 6072 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(3077,a,6062,a(flip))]. 6073 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(110,a,6062,a(flip))]. 6074 ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. [para(6062(a,2),102(a,1,2))]. 6075 ((x * K(y,z)) * u) \ ((K(y,T(z,x)) * x) * R(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). [para(3863(a,1),6062(a,2,1,1)),flip(a)]. 6076 a(T(x,(y \ 1) \ z),y,z) = a(x,y,z). [para(2066(a,1),6069(a,1,1)),flip(a)]. 6077 a(T(x,y * z),y,z) = a(x,y,z). [para(4818(a,1),6076(a,1,1))]. 6078 a(L(x \ 1,x,y * z),y,z) = a((y * z) \ (x \ (y * z)),y,z). [para(2290(a,1),6077(a,1,1)),flip(a)]. 6079 K(x,y) * a(K(x,y),z,u) != w | R(K(x,y),z,u) = w. [para(6071(a,1),2152(a,1,2))]. 6080 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(4084(a,1),6071(a,1,2))]. 6082 (x * y) \ (R(z,x,y) * T(x * y,z)) = R(z,x,y). [hyper(101,a,6072,a(flip))]. 6083 ((x * y) * ((x * y) \ z)) * a((x * y) \ z,x,y) = R(z / (x * y),x,y) * (x * y). [hyper(230,a,361,a,b,6073,a),flip(a)]. 6084 ((x * y) * ((x * y) \ (x * z))) * a((x * y) \ (x * z),x,y) = x * (y * R(y \ z,x,y)). [hyper(230,a,473,a(flip),b,6073,a),flip(a)]. 6085 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(57,a,4299,a,b,6080,a)]. 6086 (x * y) \ T(R(z,x,y) * (x * y),z) = R(z,x,y). [para(3148(a,2),6082(a,1,2))]. 6087 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),6085(a,1,1))]. 6088 R(x,y,z) = (y * z) \ T((x * y) * z,x). [para(89(a,1),6086(a,1,2,1)),flip(a)]. 6089 (x * (y * z)) \ (((x * y) * z) * x) = L(R(x,y,z),y * z,x). [para(6088(a,2),269(a,1,1)),flip(a)]. 6090 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(5100,a,6087,a)]. 6091 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(1804(a,1),6090(a,2,1))]. 6092 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(57,a,1647,a(flip),b,6091,a),flip(a)]. 6093 R(a(x,y,z),u,x) = L(x \ R(x,y,z),x,y * z). [para(4359(a,1),6065(a,1,1)),flip(a)]. 6094 L(L(x \ R(x,y,z),x,u),x,y * z) = R(a(x,y,z),x,u). [para(6059(a,1),6065(a,1,1))]. 6095 R(a(x,y,z),u,x) = a(x,y,z). [hyper(230,a,6060,a,b,6093,a),flip(a)]. 6096 (a(x,y,z) * u) * x = a(x,y,z) * (u * x). [para(6095(a,1),89(a,1,1)),flip(a)]. 6097 a(x,y,z) * (T(u,a(x,y,z)) * x) = (u * a(x,y,z)) * x. [hyper(334,a,6096,a),flip(a)]. 6098 L(x,y,a(x,z,u)) = x. [hyper(292,a,6096,a)]. 6099 a(a(x,y,z),u,x) = 1. [hyper(99,a,6096,a(flip),b,75,a),flip(a)]. 6100 L(R(x,y,z),u,a(x,w,v5)) = R(x,y,z). [para(6098(a,1),24(a,1,1)),flip(a)]. 6101 a(a(x,y,z),u,R(x,w,v5)) = 1. [hyper(47,a,6100,a)]. 6102 L(a(x,y,z),u,x) = L(x \ R(x,y,z),x,y * z). [para(1567(a,1),6066(a,1,1)),flip(a)]. 6103 L(a(x,y,z),u,x) = a(x,y,z). [hyper(230,a,6060,a,b,6102,a),flip(a)]. 6104 L(a(x,y,z),u,x) != w | a(x,y,z) = w. [para(6102(a,2),6061(a,1))]. 6105 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(57,a,5040,a,b,6103,a)]. 6106 a(x,y,a(x,z,u)) = 1. [hyper(47,a,6103,a)]. 6107 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(6103(a,1),81(a,1,2))]. 6108 (x * y) * a(x,z,u) != w | x * (y * a(x,z,u)) = w. [para(6103(a,1),219(a,1,2))]. 6110 x / (a(x,y,z) \ 1) = x * a(x,y,z). [para(6103(a,1),2323(a,1,2)),flip(a)]. 6111 a(x,y,a(x,z,u)) = w \ w. [hyper(230,a,60,a,b,6106,a),flip(a)]. 6112 (x * a(x,y,z)) \ 1 = x \ (a(x,y,z) \ 1). [hyper(5778,a,6111,a),flip(a)]. 6113 (a(x,y,z) * x) \ 1 = x \ (a(x,y,z) \ 1). [hyper(5776,a,6111,a),flip(a)]. 6115 (a(x,y,z) \ 1) \ x = x * a(x,y,z). [hyper(57,a,1463,a(flip),b,6110,a)]. 6116 x / (x * a(x,y,z)) = a(x,y,z) \ 1. [hyper(160,a,6115,a)]. 6117 (x \ 1) / a(x,y,z) = (x * a(x,y,z)) \ 1. [para(6115(a,1),5624(a,1,1)),flip(a)]. 6118 x \ (a(x,y,z) \ x) = a(x,y,z) \ 1. [hyper(57,a,2585,a(flip),b,6116,a)]. 6119 x * (a(x,y,z) \ 1) = a(x,y,z) \ x. [hyper(110,a,6118,a)]. 6120 a(x,y,x \ (y \ x)) \ 1 = y * (x \ (x / y)). [hyper(28,a,5229,a(flip),b,6119,a),flip(a)]. 6121 x \ (a(x,y,z) \ x) != u | a(x,y,z) \ 1 = u. [para(6119(a,1),241(a,1,2))]. 6122 a(x,y,z) \ R(a(x,y,z) * (a(x,y,z) \ x),u,w) = R(x,u,w) * (a(x,y,z) \ 1). [para(6119(a,1),1238(a,1,2,1,2))]. 6123 a(x,x \ 1,y) \ x = x * a(y,x,x \ 1). [para(5436(a,1),6119(a,1,2)),flip(a)]. 6124 x * ((y * z) * a(x,y,z)) = (x * y) * z. [hyper(218,a,6107,a),flip(a)]. 6125 L(x,y,z) = (z * (y * a(z,y,x))) \ ((z * y) * x). [para(6107(a,1),6043(a,2,1))]. 6126 x \ ((x * y) * z) = (y * z) * a(x,y,z). [hyper(101,a,6124,a)]. 6127 R(x,y,z) = (x * a(x,y,z)) * a(y * z,x,a(x,y,z)). [hyper(28,a,6073,a(flip),b,6124,a)]. 6128 (x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y. [hyper(28,a,81,a(flip),b,6124,a),flip(a)]. 6130 (x \ ((x * y) * z)) / a(x,y,z) = y * z. [hyper(105,a,6126,a(flip))]. 6131 a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). [hyper(101,a,6126,a(flip)),flip(a)]. 6132 ((x \ y) * z) * a(x,x \ y,z) = x \ (y * z). [para(5(a,1),6126(a,1,2,1)),flip(a)]. 6133 (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. [para(6126(a,2),241(a,1,2))]. 6134 R(x,y,z) \ ((x \ R(x,y,z)) * u) = ((x \ 1) * u) * a(R(x,y,z),x \ 1,u). [para(516(a,1),6126(a,1,2,1))]. 6135 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(664(a,1),6126(a,1,2,1))]. 6136 (K(x,T(y,z)) * u) * a(z,K(x,T(y,z)),u) = z \ ((K(x,y) * z) * u). [para(1979(a,1),6126(a,1,2,1)),flip(a)]. 6137 K(x,y) * (z \ ((z * y) * x)) = (x * y) * a(z,y,x). [para(6126(a,2),2117(a,1,2))]. 6138 x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,K(y,z),T(z,y) * u). [para(2135(a,1),6126(a,2,1))]. 6139 (x * y) \ (z \ ((z * y) * x)) = K(y,x) * a(z,y,x). [para(6126(a,2),2555(a,1,2))]. 6140 K(x,y \ (y * z)) = K(x,(z * x) * a(y,z,x)). [para(6126(a,1),3576(a,1,2)),flip(a)]. 6141 (x * y) / a(z,x,L(y,x,z)) = x * L(y,x,z). [para(220(a,1),6130(a,1,1))]. 6142 L(a(x,y,z),a(x,y,z) \ 1,(x \ ((x * y) * z)) \ 1) = ((x \ ((x * y) * z)) \ (y * z)) \ 1. [para(6130(a,1),5724(a,2,1,2))]. 6143 x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x). [hyper(230,a,129,a(flip),b,6131,a)]. 6144 ((x * y) / z) * R(z,x,y) = z \ ((z * x) * y). [hyper(32,a,6070,a(flip),b,6131,a(flip))]. 6145 ((x \ y) * z) \ (x \ (y * z)) = a(x,x \ y,z). [para(5(a,1),6131(a,2,2,2,1)),flip(a)]. 6146 (x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z). [para(5(a,1),6131(a,2,2,2)),flip(a)]. 6147 (x * y) \ ((z / x) \ (z * y)) = a(z / x,x,y). [para(7(a,1),6131(a,2,2,2,1)),flip(a)]. 6148 (T(x,y) * z) \ (y \ ((x * y) * z)) = a(y,T(x,y),z). [para(93(a,1),6131(a,2,2,2,1)),flip(a)]. 6149 a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z). [para(220(a,1),6131(a,2,2))]. 6150 (x * y) \ ((x \ z) \ (T(z,x) * y)) = a(x \ z,x,y). [para(649(a,2),6131(a,2,2,2,1)),flip(a)]. 6151 (x * y) \ (T(z,x) \ (T(z * x,x) * y)) = a(T(z,x),x,y). [para(652(a,2),6131(a,2,2,2,1)),flip(a)]. 6152 T(x * y,z \ ((z * x) * y)) \ (z \ ((z * x) * y)) = T(a(z,x,y),z \ ((z * x) * y)). [para(6131(a,2),715(a,1,1)),flip(a)]. 6153 a(x,y,z) * (y * z) != u | T(x \ ((x * y) * z),y * z) = u. [para(6131(a,2),709(a,1,1))]. 6154 (x * y) * T(a(z,x,y),z \ ((z * x) * y)) = T(z \ ((z * x) * y),x * y). [para(6131(a,2),826(a,1,2,1))]. 6155 ((x \ y) * z) \ ((x * z) \ ((x * z) * (x \ (y * z)))) = a(x * z,x \ y,z). [para(1219(a,1),6131(a,2,2,2)),flip(a)]. 6156 (x / y) \ (z \ ((z * x) * L(y \ 1,y,x))) = a(z,x,L(y \ 1,y,x)). [para(2284(a,1),6131(a,2,1)),flip(a)]. 6157 (L(x,y,z) * a(x,L(x,y,z),u)) \ 1 = L(x,y,z) \ (a(L(x,y,z),x,u) \ 1). [para(1423(a,1),6112(a,1,1,2))]. 6158 (x \ 1) \ (a(x \ 1,y,z) \ 1) = x * (a(x \ 1,y,z) \ 1). [hyper(5609,a,6113,a),flip(a)]. 6159 (x \ 1) / a(x,y,z) = x \ (a(x,y,z) \ 1). [hyper(230,a,6112,a(flip),b,6117,a),flip(a)]. 6160 (x \ 1) \ (a(x \ 1,y,z) \ 1) = x / a(x \ 1,y,z). [para(614(a,1),6159(a,1,1)),flip(a)]. 6161 x \ 1 != y * (z \ (z / y)) | a(z,y,z \ (y \ z)) = x. [para(6120(a,1),42(a,1)),flip(a)]. 6162 L(x,y,y) * a(y,y,L(x,y,y)) = x. [hyper(28,a,6107,a(flip),b,6128,a(flip))]. 6164 (L(x,y,z) * y) * a(z,y,L(x,y,z)) = K(L(x,y,z),y) * (y * x). [para(6128(a,1),2117(a,1,2)),flip(a)]. 6165 ((T(x,y) \ K(x,y)) * z) * a(T(x,y),T(x,y) \ K(x,y),z) = x \ z. [hyper(230,a,1820,a(flip),b,6132,a),flip(a)]. 6166 ((x \ y) * z) \ (x \ (y * z)) != u | a(x,x \ y,z) = u. [para(6132(a,1),241(a,1,2))]. 6167 (x * (y \ z)) * a(y,y \ z,x) = K(x,y \ z) * (y \ (z * x)). [para(6132(a,1),2117(a,1,2)),flip(a)]. 6168 ((x * L(x \ 1,y,z)) * (x \ u)) * a(x,x \ u,T(x * L(x \ 1,y,z),u)) = x \ (u * T(x * L(x \ 1,y,z),u)). [para(5886(a,1),6132(a,1,1))]. 6169 K(x,y \ (y * z)) = K(x,z * a(y,z,x)). [hyper(230,a,5672,a(flip),b,6140,a),flip(a)]. 6170 K(x,y * a(z,y,x)) = K(x,y). [para(4(a,1),6169(a,1,2)),flip(a)]. 6171 T(x * L(y,x,z),a(z,x,L(y,x,z))) != u | a(z,x,L(y,x,z)) \ (x * y) = u. [para(6141(a,1),274(a,1,1))]. 6172 (T(x,y) \ z) / a(u,K(y,x),L(x \ z,K(y,x),u)) = K(y,x) * L(x \ z,K(y,x),u). [para(2134(a,1),6141(a,1,1))]. 6173 L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = ((y * z) * x) * R(L(x \ 1,x,y * z),y,z). [para(254(a,1),6144(a,1,1)),flip(a)]. 6174 ((x / y) / z) * R(z,x,L(y \ 1,y,x)) = z \ ((z * x) * L(y \ 1,y,x)). [para(2284(a,1),6144(a,1,1,1))]. 6175 x \ (x \ (y * ((y \ x) * x))) = a(x,x \ y,(y \ x) * x). [para(2306(a,1),6145(a,1,1))]. 6176 T(x,y) \ (x \ ((x / y) * (x * y))) = a(x,x \ (x / y),x * y). [para(2324(a,2),6145(a,1,1))]. 6177 a(x,y,L(z,y,x)) = y \ (z * (L(z,y,x) \ y)). [hyper(230,a,5962,a(flip),b,6149,a),flip(a)]. 6178 T(x,a(y,z,L(u,z,y)) \ 1) != w | T(x,(z * u) \ (z * L(u,z,y))) = w. [para(6149(a,2),2100(a,1,2,1))]. 6179 T(x / (y * (L(y,x,z) \ x)),u) \ x = x * T(a(z,x,L(y,x,z)),u). [para(6177(a,2),2391(a,2,2,1))]. 6180 x \ ((x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x)) = a(u,x,L(x \ L(x,y,z),x,u)). [para(3043(a,1),6177(a,2,2,2,1)),flip(a)]. 6181 L(x,y,z) = (T(z,y) * (y * a(T(z,y),y,x))) \ ((T(z,y) * y) * x). [hyper(57,a,2837,a(flip),b,6125,a)]. 6182 x \ (y \ ((y * z) * (z \ x))) != u | a(y,z,z \ x) = u. [para(5(a,1),6133(a,1,1))]. 6184 (x \ L(x,y,z)) \ (u \ ((u * (x \ 1)) * L(x,y,z))) != w | a(u,x \ 1,L(x,y,z)) = w. [para(659(a,1),6133(a,1,1))]. 6186 (x \ ((x * y) * z)) \ (y * z) = ((z * y) * a(x,y,z)) \ (z * y). [para(6137(a,1),5067(a,1,1)),flip(a)]. 6187 x \ (L((y \ z) / x,x,y) \ (y \ z)) = a(y,x,(y * x) \ z). [hyper(57,a,5969,a,b,6146,a)]. 6188 (x * y) \ ((z / x) \ (z * y)) = a(x \ z,x,y). [para(3073(a,1),6150(a,1,2))]. 6189 a(x / y,y,z) = a(y \ x,y,z). [hyper(57,a,6147,a(flip),b,6188,a)]. 6190 a(x \ y,x,x \ z) = z \ ((y / x) \ (y * (x \ z))). [hyper(57,a,129,a(flip),b,6188,a),flip(a)]. 6191 a(((x / y) * y) \ 1,y \ 1,(x / y) \ 1) = a(y \ x,y,(x / y) * y). [hyper(57,a,5935,a,b,6189,a)]. 6192 ((x / y) * z) \ (((x / y) * y) * (y \ z)) = a(y \ x,y,y \ z). [hyper(57,a,76,a,b,6189,a)]. 6194 (x * a(x,y,z)) \ R(x,y,z) = a(y * z,x,a(x,y,z)). [hyper(101,a,6127,a(flip))]. 6195 (a(x \ 1,y,z) / x) \ 1 = x / a(x \ 1,y,z). [hyper(57,a,5605,a(flip),b,6160,a)]. 6196 (a(x \ 1,y,z) / x) \ 1 = a(x \ 1,y,z) \ x. [hyper(230,a,1460,a(flip),b,6195,a),flip(a)]. 6197 ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) != w | a(x,x \ L(x,y,z),u) = w. [para(1377(a,1),6166(a,1,2))]. 6198 (x * a(x,y,z)) * a(y * z,x,a(x,y,z)) != u | R(x,y,z) = u. [para(6194(a,1),203(a,1,2))]. 6199 T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = T(a(y * z,x,a(x,y,z)),u) \ R(x,y,z). [para(6194(a,1),2562(a,1,1,1)),flip(a)]. 6200 L(x \ R(x,y,z),x,T(y * z,z)) = a(x,T(y,z),z). [para(2676(a,1),6067(a,1,1,2))]. 6201 R(a(x,y,z),x,u) = L(a(x,y,z),x,u). [hyper(57,a,6066,a(flip),b,6094,a),flip(a)]. 6202 L(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,x * a(x,y,z)). [para(6201(a,1),5263(a,1,1))]. 6203 (x * y) \ (z \ ((z * x) * y)) = a(T(z,x),x,y). [para(3075(a,1),6151(a,1,2))]. 6204 a(T(x,y),y,z) = a(x,y,z). [hyper(6133,a,6203,a),flip(a)]. 6205 a(x * (y / x),x,z) = a(y,x,z). [para(646(a,1),6204(a,1,1)),flip(a)]. 6206 a(x / y,x,z) = a(y \ x,x,z). [para(695(a,1),6204(a,1,1)),flip(a)]. 6207 a(x,T(y,x),z) = a(x,y,z). [hyper(2995,a,6205,a)]. 6208 a(x,y,z) = (T(y,x) * z) \ (x \ ((y * x) * z)). [hyper(57,a,6148,a,b,6207,a),flip(a)]. 6209 a(x,y / x,z) = a(x,x \ y,z). [para(95(a,1),6207(a,1,2)),flip(a)]. 6210 a(x,x / y,z) = a(x,y \ x,z). [para(695(a,1),6207(a,1,2)),flip(a)]. 6211 a(x,x \ (x / y),z) = a(x,x \ (y \ x),z). [para(755(a,1),6207(a,1,2)),flip(a)]. 6212 a(x * y,x \ (x / y),z) = a(x * y,x \ (y \ x),z). [para(2385(a,1),6207(a,1,2)),flip(a)]. 6213 a((x * (x \ y)) \ 1,(x \ y) \ 1,x \ 1) = a(x,y / x,x * (x \ y)). [hyper(230,a,5935,a,b,6209,a)]. 6214 L(x \ R(x,y \ x,y),x,x) = a(x,y \ x,y). [hyper(57,a,6068,a,b,6210,a)]. 6215 (T(x,y) * z) * a(y,x,z) = y \ ((x * y) * z). [hyper(110,a,6208,a(flip))]. 6216 x \ R(x,y \ x,y) = a(x,y \ x,y). [hyper(57,a,1567,a(flip),b,6214,a)]. 6218 (T(K(x,y),T(x,y) \ z) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). [para(1819(a,1),6215(a,2,2,1))]. 6219 (T(K(x,y),x / z) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). [para(4903(a,1),6215(a,2,2,1))]. 6220 a(x,x \ y,(y \ x) * x) = x \ L(x,y \ x,y). [para(82(a,1),6175(a,1,2)),flip(a)]. 6221 (x * (y * z)) \ (((x * y) * z) * x) != u | R(x,y,z) = u. [para(6089(a,2),1658(a,1))]. 6222 (a(x \ 1,y,z) / x) \ 1 = x * (a(x \ 1,y,z) \ 1). [hyper(57,a,5605,a(flip),b,6158,a)]. 6223 x * (a(x \ 1,y,z) \ 1) = a(x \ 1,y,z) \ x. [hyper(57,a,6196,a(flip),b,6222,a),flip(a)]. 6224 x \ ((y \ z) / ((y * x) \ z)) = a(y,x,(y * x) \ z). [para(945(a,1),6187(a,1,2))]. 6225 a(x,y,(x * y) \ ((x * y) * z)) = y \ ((x \ ((x * y) * z)) / z). [para(4(a,1),6224(a,1,2,2)),flip(a)]. 6226 (x * y) \ (L(z \ 1,z,x * y) \ ((L(z \ 1,z,x * y) * x) * y)) = a((x * y) \ (z \ (x * y)),x,y). [hyper(57,a,6131,a(flip),b,6078,a)]. 6227 (x * (y \ z)) * a(y,y \ z,x) = T(y \ (z * x),y \ z). [hyper(230,a,3186,a(flip),b,6167,a),flip(a)]. 6228 T(x,y) \ (x \ ((y \ x) * (y * x))) = a(x,x \ (x / y),x * y). [para(2444(a,1),6176(a,1,2,2))]. 6229 (x \ ((x * y) * z)) \ (y * z) = (z * y) \ ((z * y) / a(x,y,z)). [hyper(230,a,2280,a(flip),b,6186,a),flip(a)]. 6230 a(x \ y,x,x \ z) = ((y / x) * z) \ (y * (x \ z)). [para(7(a,1),6192(a,1,2,1)),flip(a)]. 6232 a(x,y,z) = y \ ((x \ ((x * y) * z)) / z). [para(4(a,1),6225(a,1,3))]. 6233 (x \ ((x * y) * z)) / z = y * a(x,y,z). [hyper(110,a,6232,a(flip)),flip(a)]. 6234 (x \ y) \ ((x \ (y * z)) / z) = a(x,x \ y,z). [para(5(a,1),6232(a,2,2,1,2,1)),flip(a)]. 6236 ((x * y) \ ((x * y) * R(z,x,y))) / a(z,x,y) = z * a(x * y,z,a(z,x,y)). [para(6073(a,1),6233(a,1,1,2))]. 6237 (x \ L(x,y,z)) \ ((L(x,y,z) * (x \ u)) / u) = a(x,x \ L(x,y,z),u). [para(1377(a,1),6234(a,1,2,1))]. 6238 x \ (T(x,y) \ ((y \ x) * (y * x))) = a(x,x \ (x / y),x * y). [hyper(509,a,6228,a)]. 6239 x \ (x \ ((x / y) * (y * x))) = a(x,x \ (x / y),x * y). [para(2449(a,1),6238(a,1,2))]. 6240 a(x,x \ (x / y),x * y) = x \ L(x,y,y \ x). [para(2843(a,1),6239(a,1,2)),flip(a)]. 6241 a(x,x \ (y \ x),x * y) = x \ L(x,y,y \ x). [hyper(57,a,6211,a(flip),b,6240,a)]. 6242 (L(x,y,z) * y) * a(z,y,L(x,y,z)) = K(x,y) * (y * x). [para(3167(a,1),6164(a,2,1))]. 6243 (L(x,y,z) * y) * a(z,y,L(x,y,z)) != u | x * y = u. [para(6242(a,2),879(a,1))]. 6245 L(x,y,z) = (T(z,y) * (y * a(z,y,x))) \ ((T(z,y) * y) * x). [para(6204(a,1),6181(a,2,1,2,2))]. 6246 L(x,y,z) = (T(z,y) * (y * a(z,y,x))) \ (T(z * y,y) * x). [para(652(a,2),6245(a,2,2,1))]. 6247 ((x \ 1) * y) * a(T(x,z),T(x,z) \ K(x,z),y) = x \ y. [para(1821(a,1),6165(a,1,1,1))]. 6248 ((x \ 1) * y) * a(T(x,z),x \ 1,y) = x \ y. [para(1821(a,1),6247(a,1,2,2))]. 6251 ((x \ 1) * y) * ((a(T(x,z),x \ 1,y) * ((x \ 1) * y)) \ 1) = ((x \ y) \ 1) * ((x \ 1) * y). [para(6248(a,1),5647(a,1,1,1)),flip(a)]. 6252 a(x \ 1,y \ 1,(x / y) \ 1) = a(y \ x,y,(x / y) * y). [para(7(a,1),6191(a,1,1,1))]. 6253 x * T(y,x * a(x,z,u)) = T(y * x,a(x,z,u)). [hyper(5080,a,6202,a),flip(a)]. 6254 a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x / y,y * (y \ x)). [para(5(a,1),6213(a,1,1,1))]. 6255 a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x / y,x). [para(5(a,1),6254(a,2,3))]. 6257 a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,y \ x,x). [hyper(230,a,6209,a(flip),b,6255,a),flip(a)]. 6258 T(x \ ((x * y) * z),y * z) != (y * z) * u | T(a(x,y,z),x \ ((x * y) * z)) = u. [para(6154(a,1),37(a,1))]. 6259 ((x \ y) * z) \ (x \ (y * z)) = a(x * z,x \ y,z). [para(4(a,1),6155(a,1,2))]. 6260 a(x * y,x \ z,y) = a(x,x \ z,y). [hyper(6166,a,6259,a),flip(a)]. 6262 a(x * y,z,y) = a(x,x \ (x * z),y). [para(4(a,1),6260(a,1,2))]. 6263 a(x * y,z,y) = a(x,z,y). [para(4(a,1),6262(a,2,2))]. 6264 a(x / y,z,y) = a(x,z,y). [para(7(a,1),6263(a,1,1)),flip(a)]. 6265 a(T(x,y),z,y) = a(y \ x,z,y). [para(649(a,2),6263(a,1,1))]. 6266 a(x * y,z,a(x,u,y)) = 1. [para(6263(a,1),6106(a,1,3))]. 6267 a(x \ y,x,x) = a(y,x,x). [hyper(57,a,6189,a(flip),b,6264,a)]. 6268 a(x * y,z,a(x,y,L(y,u,w))) = 1. [para(1533(a,1),6266(a,1,3))]. 6269 (((x / y) / z) * z) * R(z,x,L(y \ 1,y,x)) = (z \ ((z * x) * L(y \ 1,y,x))) * z. [para(6174(a,1),1432(a,1,1)),flip(a)]. 6270 R(x,y,z) \ ((x \ R(x,y,z)) * u) = ((x \ 1) * u) * a(x \ 1,R(x,y,z),u). [para(5976(a,1),6134(a,2,2))]. 6271 (L(x,y,z) * a(x,L(x,y,z),u)) \ 1 = L(x,y,z) \ (a(x,L(x,y,z),u) \ 1). [para(1423(a,1),6157(a,2,2,1))]. 6272 x * a(y * z,x,a(x,y,z)) = R(x,y,z) / a(x,y,z). [para(4(a,1),6236(a,1,1)),flip(a)]. 6273 x * a(y * z,x,a(x,y,z)) = a(x,y,z) \ R(x,y,z). [hyper(230,a,1462,a(flip),b,6272,a),flip(a)]. 6275 x \ (a(y * z,x,a(x,y,z)) \ x) = x / (a(x,y,z) \ R(x,y,z)). [para(6273(a,1),4977(a,1,2)),flip(a)]. 6276 R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * (u * a(x \ 1,R(x,y,z),u)). [hyper(230,a,6107,a(flip),b,6270,a),flip(a)]. 6277 (K(x,T(y,x / z)) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). [para(1974(a,2),6219(a,1,1,1))]. 6278 (K(x,T(y,z)) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). [para(3951(a,1),6277(a,1,1,1))]. 6280 ((x * y) * ((x * y) \ z)) * a((x * y) \ z,x,y) != u | ((z / (x * y)) * x) * y = u. [para(6083(a,2),215(a,1))]. 6281 R(x,y,z) * (a(x,u,w) \ 1) = a(x,u,w) \ R(x,y,z). [para(5(a,1),6122(a,1,2,1)),flip(a)]. 6282 (a(x,y,z) \ R(x,u,w)) \ 1 != v5 | a(x,y,z) * (R(x,u,w) \ 1) = v5. [para(6281(a,1),5609(a,1,1))]. 6283 T(a(x,y,z),x \ ((x * y) * z)) != u \ (x \ ((x * y) * z)) | T(y * z,x \ ((x * y) * z)) = u. [para(6152(a,1),42(a,1))]. 6284 (((x / y) / z) * z) * R(z,x,L(y \ 1,y,x)) = T((z * x) * L(y \ 1,y,x),z). [hyper(230,a,649,a,b,6269,a),flip(a)]. 6285 T((x * y) * L(z \ 1,z,y),x) = (y / z) * R(x,y,L(z \ 1,z,y)). [hyper(234,a,6284,a),flip(a)]. 6287 T((x * y) * (z \ y),x) = (y / (y \ z)) * R(x,y,L((y \ z) \ 1,y \ z,y)). [para(253(a,1),6285(a,1,1,2))]. 6288 (x / y) \ (((x / y) / z) * R(z,x,L(y \ 1,y,x))) = ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z). [para(6285(a,2),3039(a,1,2)),flip(a)]. 6289 T((x * y) * T(z,y),x) = (y / (y \ (z \ y))) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). [para(693(a,2),6287(a,1,1,2))]. 6290 ((x * K(y,z)) * u) \ ((x * K(y,z)) * R(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). [para(3863(a,1),6075(a,1,2,1))]. 6291 (((x * y) / (x * z)) * x) * z = x * (z * R(z \ y,x,z)). [hyper(6280,a,6084,a)]. 6292 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [para(4(a,1),6291(a,2,2,2,1))]. 6293 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(17(a,2),6291(a,2,2,2,1))]. 6294 x * (y * R(y \ (y * x),x,y)) = ((x * K(y,x)) * x) * y. [para(2622(a,1),6291(a,1,1,1)),flip(a)]. 6295 (x * (y * R(z,x,y))) \ ((x * (y * z)) * y) = L(y,x,(x * y) \ (x * (y * z))). [para(6292(a,1),5020(a,1,1))]. 6296 x * (y * R(y \ (y * x),x,y)) = (x * T(x,y \ x)) * y. [para(2505(a,1),6294(a,2,1))]. 6297 x * (y * R(y \ (y * x),x,y)) = (x * x) * T(y,x). [hyper(230,a,2536,a(flip),b,6296,a),flip(a)]. 6298 x * (y * R(x,x,y)) = (x * x) * T(y,x). [para(4(a,1),6297(a,1,2,2,1))]. 6299 (x * T(y,x)) * a(x,x,T(y,x)) = y * R(x,x,y). [hyper(28,a,6124,a,b,6298,a)]. 6300 (x * y) * a(y,y,T(x,y)) = x * R(y,y,x). [hyper(334,a,6299,a)]. 6301 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(190(a,1),6293(a,2,2))]. 6302 (x * (y * R(z,x,y))) \ ((x * (y * z)) * y) = L(y,x,L(z,y,x)). [para(13(a,2),6295(a,2,3))]. 6303 ((x * R(y,z,x)) * z) \ (K(x * R(y,z,x),z) * ((z * (x * y)) * x)) = L(x,z,L(y,x,z)). [hyper(57,a,2118,a,b,6302,a)]. 6304 ((x * R(y,z,x)) * z) \ (K(x * y,z) * ((z * (x * y)) * x)) = L(x,z,L(y,x,z)). [para(5703(a,1),6303(a,1,2,1))]. 6305 ((x * R(y,z,x)) * z) \ (((x * y) * z) * x) = L(x,z,L(y,x,z)). [para(2117(a,1),6304(a,1,2))]. 6306 ((x * R(y,y,x)) * y) \ (((x * y) * y) * x) = L(x,y,y). [hyper(230,a,1471,a(flip),b,6305,a),flip(a)]. 6307 ((x * y) * R(y,y,x)) \ (((x * y) * y) * x) = L(x,y,y). [para(1432(a,1),6306(a,1,1))]. 6308 a(x,y,L(y \ L(y,z,u),y,x)) = y \ (L(y \ L(y,z,u),y,x) \ L(y,z,u)). [para(3332(a,1),6180(a,1,2)),flip(a)]. 6309 x * T(a(y,x,L(x \ L(x,z,u),x,y)),w) != v5 | (L(x \ L(x,z,u),x,y) \ L(x,z,u)) * K(w,(L(x \ L(x,z,u),x,y) \ L(x,z,u)) \ x) = v5. [para(6308(a,2),2726(a,1,2,1))]. 6310 K(x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)),w) = a(u,x,K(L(x \ L(x,y,z),x,u),w)). [para(6308(a,1),4865(a,2,1)),flip(a)]. 6311 R(x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)),w,u) = a(u,x,L(x \ L(x,y,z),x,u)). [para(6308(a,1),6095(a,1,1))]. 6312 K(x,(L(y \ L(y,z,u),y,w) \ L(y,z,u)) \ y) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). [hyper(2043,a,6310,a)]. 6313 (K(x,T(y,T(x,y) \ z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). [para(1974(a,2),6218(a,1,1,1))]. 6314 ((x \ 1) * y) * ((a(T(x,z),x \ 1,y) * ((x \ 1) * y)) \ 1) = a(y,x,x \ 1). [hyper(230,a,5704,a(flip),b,6251,a),flip(a)]. 6315 ((x \ 1) * y) * ((a(x,x \ 1,y) * ((x \ 1) * y)) \ 1) = a(y,x,x \ 1). [para(92(a,1),6314(a,1,2,1,1,1))]. 6316 (K(x,T(y,x \ z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). [para(3507(a,1),6313(a,1,1,1,2))]. 6317 (K(x,T(y,z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). [para(2266(a,1),6316(a,1,1,1))]. 6318 T((x * y) * T(z,y),x) = (y * ((z \ y) \ y)) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). [para(2305(a,1),6289(a,2,1))]. 6319 T((x * y) * T(z,y),x) = (y * T(z,y)) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). [para(693(a,2),6318(a,2,1,2))]. 6320 T((x * y) * T(z,y),x) = (z * y) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). [hyper(230,a,180,a(flip),b,6319,a),flip(a)]. 6321 T((x * y) * T(z,y),x) = (z * y) * R(x,y,(z \ y) \ y). [para(253(a,1),6320(a,2,2,3))]. 6322 T((x * y) * T(z,y),x) = (z * y) * R(x,y,T(z,y)). [para(693(a,2),6321(a,2,2,3))]. 6323 T((x * y) * T(z,y),x) = (z * y) * R(x,y,z). [para(2640(a,1),6322(a,2,2))]. 6324 T((x * a(y,z,z)) * T(u,x),a(y,z,z)) = (u * x) * R(a(y,z,z),x,u). [para(4885(a,1),6323(a,1,1,1))]. 6325 (x * y) * R(a(z,u,u),y,x) = (y * a(z,u,u)) * T(x,y). [hyper(4889,a,6324,a),flip(a)]. 6327 (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = a(z \ 1,y,x) \ 1. [para(9(a,2),6007(a,2,1))]. 6328 (((x * y) \ 1) * z) \ ((y \ 1) * ((x \ 1) * z)) = a(z \ 1,x,y) \ 1. [para(5585(a,1),6327(a,1,1,1))]. 6329 (L(x,y,z) \ 1) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). [para(5653(a,1),6008(a,1,1))]. 6330 (x \ 1) * ((L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). [hyper(57,a,5891,a(flip),b,6329,a)]. 6331 (x \ 1) * ((L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u)) = L(u,L(x,y,z) \ x,x \ 1). [para(1383(a,1),6330(a,2,2))]. 6332 L(x \ ((x / y) * L((x / y) \ x,z,u)),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). [para(1245(a,1),5726(a,1,1))]. 6333 L(x \ ((x / y) * L(y,z,u)),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). [para(72(a,1),6332(a,1,1,2,2,1))]. 6334 L(x \ 1,x,y) * L(L(x,x \ 1,y \ 1),z,u) = L(x \ L(x,z,u),x,y). [hyper(57,a,5443,a(flip),b,6333,a),flip(a)]. 6335 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [hyper(57,a,5727,a,b,6334,a)]. 6336 L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(1214(a,1),6335(a,1,1))]. 6337 ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z) = (x / y) \ (z \ ((z * x) * L(y \ 1,y,x))). [para(6174(a,1),6288(a,1,2)),flip(a)]. 6338 ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z) = a(z,x,L(y \ 1,y,x)). [hyper(230,a,6156,a(flip),b,6337,a),flip(a)]. 6339 ((x / (x \ (x / y))) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). [para(2812(a,1),6338(a,1,2,1,2))]. 6340 ((L(x,y,z) \ 1) * (x * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). [para(614(a,1),5837(a,1,1,2,1))]. 6341 (x * ((L(x,y,z) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). [para(5310(a,1),6340(a,1,1))]. 6342 a(L(x,y,z) \ 1,(x \ 1) \ 1,u) = a(x,L(x,y,z) \ 1,u). [hyper(5441,a,6341,a),flip(a)]. 6343 a(L(x,y,z) \ 1,x,u) = a(x,L(x,y,z) \ 1,u). [para(614(a,1),6342(a,1,2))]. 6344 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(x,L(x,y,z) \ 1,u). [para(6343(a,1),6135(a,2,2))]. 6345 (L(x,y,z) * ((x \ 1) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). [para(614(a,1),5838(a,1,1,1))]. 6346 ((x \ 1) * (L(x,y,z) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). [para(3217(a,1),6345(a,1,1))]. 6347 ((x \ 1) * (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). [para(5423(a,1),6346(a,1,2,1))]. 6348 a((L(x,y,z) \ 1) \ 1,x \ 1,u) = a(x \ 1,L(x,y,z),u). [hyper(861,a,6347,a),flip(a)]. 6349 a(L(x,y,z),x \ 1,u) = a(x \ 1,L(x,y,z),u). [para(614(a,1),6348(a,1,1))]. 6350 (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = ((x \ (x / y)) * y) \ 1. [para(4(a,1),5954(a,2,1,2))]. 6352 (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = (y * (x \ (x / y))) \ 1. [para(2716(a,1),6350(a,2,1))]. 6353 (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = y \ ((x \ (x / y)) \ 1). [hyper(230,a,5953,a(flip),b,6352,a),flip(a)]. 6354 (x \ (x / y)) \ (((x * y) \ ((x * y) * y)) \ 1) = y \ ((x \ (x / y)) \ 1). [para(2384(a,1),6353(a,1,2,1,2))]. 6355 (x \ (x / y)) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). [para(4(a,1),6354(a,1,2,1))]. 6356 L(R(x \ 1,y \ 1,z \ 1),u,w) \ L(x \ 1,u,w) = L(x \ 1,u,w) * L(R(x,u \ 1,w \ 1),y,z). [para(24(a,1),5992(a,1,1))]. 6357 L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = (y * z) * (x * R(x \ 1,y,z)). [hyper(230,a,290,a(flip),b,6173,a),flip(a)]. 6358 (x * y) \ ((x * y) * (z * R(z \ 1,x,y))) = a((x * y) \ (z \ (x * y)),x,y). [para(6357(a,1),6226(a,1,2))]. 6359 a((x * y) \ (z \ (x * y)),x,y) = z * R(z \ 1,x,y). [hyper(241,a,6358,a),flip(a)]. 6361 L(x * R(x \ 1,y,z),u,w) = a((y * z) \ (L(x,u,w) \ (y * z)),y,z). [hyper(230,a,1560,a(flip),b,6359,a)]. 6362 a((x * y) \ ((z * (u * ((z * u) \ 1))) \ (x * y)),x,y) = (z * (u * ((z * u) \ 1))) * R(a(z,u,(z * u) \ 1),x,y). [para(78(a,1),6359(a,2,2,1))]. 6363 L(R(a(x,y,y) \ 1,z,u) * a(x,y,y),w,v5) = a((z * u) \ (L(a(x,y,y),w,v5) \ (z * u)),z,u). [para(4885(a,1),6361(a,1,1))]. 6364 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(L(x,u,w) \ 1,y,z) \ L(x \ 1,y,z). [para(5717(a,1),6356(a,1,1,1)),flip(a)]. 6365 L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w) = L((1 / x) * L(x,y,z),u,w). [hyper(57,a,5721,a(flip),b,6364,a),flip(a)]. 6366 L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w) = L(x \ L(x,y,z),u,w). [para(862(a,1),6365(a,2,1))]. 6367 a(x * y,y \ (x \ y),(x * y) * (y \ (x \ y))) \ 1 = y \ L(y,y \ (x \ y),x * y). [para(2317(a,1),5917(a,2,2,1))]. 6368 a(x * y,y \ (x \ y),y) \ 1 = y \ L(y,y \ (x \ y),x * y). [para(2317(a,1),6367(a,1,1,3))]. 6369 K((x * a(y \ 1,z \ 1,u \ 1)) * w,x \ 1) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. [para(4788(a,1),5945(a,1))]. 6370 K(x,(x * a(y \ 1,z \ 1,u \ 1)) * w) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. [para(1696(a,1),6369(a,1))]. 6371 K(x,a(y \ 1,z \ 1,u \ 1) * w) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. [para(5671(a,1),6370(a,1))]. 6372 ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z) = (((x * y) * z) \ (x * (y * z))) * a(x,y,z). [para(9(a,2),2587(a,1,2)),flip(a)]. 6373 (((x * y) \ ((x * (y * z)) / z)) \ 1) \ a(x,y,z) = (((x * y) * z) \ (x * (y * z))) * a(x,y,z). [para(3056(a,1),6372(a,1,1,1))]. 6374 (((x * y) \ ((x * (y * z)) / z)) \ 1) \ a(x,y,z) = ((x * y) \ ((x * (y * z)) / z)) * a(x,y,z). [para(3056(a,1),6373(a,2,1))]. 6375 ((x * y) \ ((x * (y * z)) / z)) * a(x,y,z) = a(z \ 1,y \ 1,x \ 1) \ a(x,y,z). [para(5928(a,1),6374(a,1,1)),flip(a)]. 6376 ((x * y) \ ((x * (y * z)) / z)) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = a(x,y,z). [hyper(101,a,6375,a)]. 6377 T((x * y) \ ((x * (y * z)) / z),a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). [para(6376(a,1),693(a,2,1))]. 6378 L(((x * y) \ ((x * (y * z)) / z)) \ 1,(x * y) \ ((x * (y * z)) / z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [para(3056(a,1),3057(a,1,2))]. 6379 a(x,y,z) = L(((x * y) \ ((x * (y * z)) / z)) \ 1,(x * y) \ ((x * (y * z)) / z),x * (y * z)). [hyper(230,a,9,a,b,6378,a)]. 6380 L(a(x \ 1,y \ 1,z \ 1),(z * y) \ ((z * (y * x)) / x),z * (y * x)) = a(z,y,x). [para(5928(a,1),6379(a,2,1)),flip(a)]. 6381 (a(x,y,z) \ u) * K(a(z \ 1,y \ 1,x \ 1),L(u,(x * y) \ ((x * (y * z)) / z),x * (y * z))) = u / L(a(z \ 1,y \ 1,x \ 1),(x * y) \ ((x * (y * z)) / z),x * (y * z)). [para(6380(a,1),4635(a,1,1,1))]. 6382 L(L(x,y \ (y / z),z),(y \ (y / z)) * z,z \ 1) = L(L(z \ 1,z,1),z,y) \ L((y \ (y / z)) * x,z,z \ 1). [para(2671(a,1),2717(a,1,1)),flip(a)]. 6383 L(L(x,y \ (y / z),z),(y \ (y / z)) * z,z \ 1) = L(z \ 1,z,y) \ L((y \ (y / z)) * x,z,z \ 1). [para(1279(a,1),6382(a,2,1,1))]. 6385 L(L(x,y,z \ (z / y)),(z \ (z / y)) * y,y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). [para(5387(a,1),6383(a,1,1))]. 6386 L(L(x,y,z \ (z / y)),y * (z \ (z / y)),y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). [para(2716(a,1),6385(a,1,2))]. 6387 x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x * T((x / y) \ x,z)),u,w). [para(2728(a,1),2918(a,2,2,1,2))]. 6388 K(x,x \ 1) \ ((1 / ((L(y,z,u) \ y) * L(y,z,u))) * (L(y,z,u) \ y)) = L(y,z,u) \ 1. [para(4337(a,2),3329(a,1,1))]. 6389 K(x,x \ 1) \ ((1 / y) * (L(y,z,u) \ y)) = L(y,z,u) \ 1. [para(683(a,1),6388(a,1,2,1,2))]. 6391 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2802,a,6389,a)]. 6392 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(101,a,6391,a)]. 6393 ((x * (x \ y)) \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u) = ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)). [para(5585(a,1),5856(a,1,1))]. 6394 ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u). [para(5(a,1),6393(a,1,1,1)),flip(a)]. 6396 ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(x * (x \ y),z,u). [para(614(a,1),6394(a,2,2,1,1))]. 6397 ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(y,z,u). [para(5(a,1),6396(a,2,2,1))]. 6398 ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = y \ L(y,z,u). [hyper(230,a,659,a(flip),b,6397,a),flip(a)]. 6399 ((x \ y) \ 1) * (x \ L(y,z,u)) = y \ L(y,z,u). [para(1491(a,1),6398(a,1,2))]. 6400 ((x * y) \ 1) * ((x \ 1) \ L(L(y,x,x \ 1),z,u)) = L(y,x,x \ 1) \ L(L(y,x,x \ 1),z,u). [para(847(a,1),6399(a,1,1,1))]. 6401 L(x,y,y \ 1) \ L(L(x,y,y \ 1),z,u) = ((y * x) \ 1) * (y * L(x,z,u)). [para(856(a,1),6400(a,1,2)),flip(a)]. 6402 L(L(x,y,z) \ x,u,u \ 1) \ 1 = ((u * x) \ 1) * (u * L(x,y,z)). [hyper(5910,a,6401,a)]. 6403 R((L(x,y,z) \ x) \ 1,u \ 1,u) = ((u * x) \ 1) * (u * L(x,y,z)). [hyper(5738,a,6402,a)]. 6404 ((x * y) \ 1) * (x * L(y,z,u)) = R(y \ L(y,z,u),x \ 1,x). [para(5423(a,1),6403(a,1,1)),flip(a)]. 6405 ((x * y) \ 1) * (x * L(y,z,u)) = L(y \ L(y,z,u),x,x \ 1). [hyper(230,a,5743,a(flip),b,6404,a),flip(a)]. 6406 T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x) = x \ ((y \ x) * L((y \ x) \ x,z,u)). [para(719(a,1),5887(a,1,2,2,1,2)),flip(a)]. 6407 T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x) = x \ (L(y,z,u) * (y \ x)). [para(357(a,1),6406(a,2,2))]. 6408 ((x * L(x \ 1,y,z)) * (x \ u)) * a(x,x \ u,x * L(x \ 1,y,z)) = x \ (u * T(x * L(x \ 1,y,z),u)). [para(5225(a,1),6168(a,1,2))]. 6409 x \ (y * T(x * L(x \ 1,z,u),y)) = ((x * L(x \ 1,z,u)) * (x \ y)) * 1. [para(4326(a,1),6408(a,1,2)),flip(a)]. 6410 x \ (y * T(x * L(x \ 1,z,u),y)) = (x * L(x \ 1,z,u)) * (x \ y). [hyper(230,a,3,a(flip),b,6409,a),flip(a)]. 6412 x \ ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x \ u). [para(93(a,1),6410(a,1,2))]. 6413 L(x \ 1,y,z) \ (((x * L(x \ 1,y,z)) * (x \ u)) / u) = a(x,L(x \ 1,y,z),u). [para(6412(a,1),6232(a,2,2,1)),flip(a)]. 6414 L(x \ 1,y,z) \ L(u \ (u / x),y,z) = a(x,L(x \ 1,y,z),u). [para(1347(a,1),6413(a,1,2))]. 6415 x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x * T(y,z)),u,w). [para(72(a,1),6387(a,2,2,1,2,2,1))]. 6416 x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(T(y,z),u,w). [para(4(a,1),6415(a,2,2,1))]. 6418 (x / T(y,z)) * L(T(y,z),u,w) = x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,u,w),z). [para(1487(a,1),6416(a,1,2)),flip(a)]. 6419 (x / T(y,z)) * L(T(y,z),u,w) = x * T(x \ ((x / y) * L((x / y) \ x,u,w)),z). [para(1245(a,1),6418(a,2,2,1))]. 6420 (x / T(y,z)) * L(T(y,z),u,w) = x * T(x \ ((x / y) * L(y,u,w)),z). [para(72(a,1),6419(a,2,2,1,2,2,1))]. 6421 x \ ((x / T(y,z)) * L(T(y,z),u,w)) = T(x \ ((x / y) * L(y,u,w)),z). [hyper(101,a,6420,a(flip))]. 6422 x \ ((x / T(y,z)) * L(T(y,z),u,w)) != v5 | T(x \ ((x / y) * L(y,u,w)),z) = v5. [para(6420(a,2),241(a,1,2))]. 6423 x * T(x \ ((x / y) * L(y,z,u)),w) != v5 | (x / T(y,w)) * L(T(y,w),z,u) = v5. [para(6421(a,1),203(a,1,2))]. 6424 L(x,y,y \ 1) * L(L(x,y,y \ 1) \ ((y \ 1) \ L(x,y,y \ 1)),z,u) = (y \ L(y,z,u)) * (y * x). [para(1214(a,1),858(a,2,1))]. 6425 L(x,y,y \ 1) * L(L(x,y,y \ 1) \ (y * x),z,u) = (y \ L(y,z,u)) * (y * x). [para(847(a,1),6424(a,1,2,1,2))]. 6426 L(x,y,y \ 1) * L((L(x,y,y \ 1) \ y) * x,z,u) = (y \ L(y,z,u)) * (y * x). [para(666(a,1),6425(a,1,2,1))]. 6427 L(x,y,y \ 1) * L(x \ ((y \ 1) \ x),z,u) = (y \ L(y,z,u)) * (y * x). [para(5212(a,1),6426(a,1,2,1))]. 6428 (x \ 1) * (L(y,x,x \ 1) * L((L(y,x,x \ 1) \ x) * y,z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). [para(666(a,1),1422(a,1,2,2,1))]. 6429 L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x \ 1,x,v5) \ 1,y,z). [para(3007(a,1),4323(a,1,2,1,1)),flip(a)]. 6431 L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(R(x,x \ 1,v5 \ 1),y,z). [para(5715(a,2),6429(a,2,2,1))]. 6432 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(4(a,1),4469(a,1,1,1)),flip(a)]. 6433 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(230,a,2239,a(flip),b,6432,a),flip(a)]. 6435 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(230,a,4150,a(flip),b,6433,a),flip(a)]. 6436 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(4565,a,6435,a)]. 6437 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(57,a,4149,a(flip),b,6436,a)]. 6438 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(5350,a,6437,a),flip(a)]. 6440 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(57,a,4295,a(flip),b,6438,a)]. 6441 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(57,a,2256,a(flip),b,6440,a),flip(a)]. 6442 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(57,a,4146,a,b,6441,a)]. 6443 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(57,a,4307,a,b,6442,a)]. 6444 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(15(a,2),6443(a,2,2,1))]. 6445 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(57,a,4173,a(flip),b,6444,a),flip(a)]. 6446 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(4251,a,6445,a),flip(a)]. 6448 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(57,a,5553,a(flip),b,6446,a),flip(a)]. 6449 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(57,a,5330,a(flip),b,6448,a)]. 6450 R(K(x,y),z,u) = K(R(x,z,u),y). [para(3084(a,1),6449(a,1,1))]. 6451 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(6450(a,2),1782(a,1,1))]. 6452 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(4106,a,6451,a)]. 6453 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(57,a,6450,a(flip),b,6452,a)]. 6454 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(6452(a,1),6071(a,1,2))]. 6455 K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). [hyper(4306,a,6453,a),flip(a)]. 6456 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(57,a,6080,a(flip),b,6454,a)]. 6457 K(x,y \ R(y,z,u)) = K(x,a(y,z,u)). [para(5112(a,2),6455(a,1,2)),flip(a)]. 6458 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(57,a,6092,a,b,6457,a)]. 6459 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(230,a,1647,a,b,6458,a)]. 6460 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(230,a,6456,a(flip),b,6459,a),flip(a)]. 6461 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(57,a,4967,a(flip),b,6460,a),flip(a)]. 6462 a(K(x,y),z,z) = 1. [hyper(230,a,2523,a(flip),b,6461,a),flip(a)]. 6463 a(K(x * y,y),z,u) = a(y,z,K(x,u)). [hyper(57,a,1897,a,b,6461,a)]. 6464 a(x \ y,z,K(x,u)) = a(K(x,y),z,u). [hyper(57,a,2341,a(flip),b,6461,a),flip(a)]. 6465 a(L(x,x * y,z),u,K(w,v5)) = a(K(w,L(x,y,z)),u,v5). [para(4580(a,1),6461(a,1,1)),flip(a)]. 6466 a(K(x,x \ (y / z)),u,w) = a(y / (z * x),u,K(x,w)). [para(4709(a,1),6461(a,1,1))]. 6467 a(K(x,x \ (y * z)),u,w) = a((y \ x) \ z,u,K(x,w)). [para(5097(a,1),6461(a,1,1))]. 6468 L(x,x,K(y,z)) = x. [hyper(46,a,6462,a)]. 6469 a(x,y,K(z * x,u)) = a(x,y,K(z,u)). [hyper(57,a,6461,a(flip),b,6463,a)]. 6470 a(x \ y,z,K(x,u)) = a(y,z,K(x,u)). [hyper(230,a,6461,a(flip),b,6464,a),flip(a)]. 6471 a(x,y,K(z / x,u)) = a(x,y,K(z,u)). [para(7(a,1),6469(a,1,3,1)),flip(a)]. 6472 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ x,u)). [para(4738(a,1),6469(a,1,3)),flip(a)]. 6473 a(x,y,K(z / x,u)) = a(z,y,K(z / x,u)). [para(72(a,1),6470(a,1,1))]. 6474 a(x,y,K(z \ x,u)) != w | a(x,y,K(u,z)) = w. [para(6472(a,1),4509(a,1))]. 6475 a(x,y,K(z,x \ u)) != w | a(x,y,K(z,u)) = w. [para(2039(a,1),6474(a,1,3))]. 6476 a(x / (y * z),u,K(z,w)) = a(z \ (x / y),u,K(z,w)). [hyper(57,a,6461,a(flip),b,6466,a),flip(a)]. 6477 a((x \ y) \ z,u,K(y,w)) = a(y \ (x * z),u,K(y,w)). [hyper(57,a,6461,a(flip),b,6467,a),flip(a)]. 6478 (x \ 1) * (L(y,x,x \ 1) * L(y \ ((x \ 1) \ y),z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). [para(5212(a,1),6428(a,1,2,2,1))]. 6479 (x \ 1) * (L(y,x,x \ 1) * L(y \ ((x \ 1) \ y),z,u)) = (x \ L(x,z,u)) * L(y,x,x \ 1). [para(1214(a,1),6478(a,2,1))]. 6480 (x \ 1) * ((x \ L(x,y,z)) * (x * u)) = (x \ L(x,y,z)) * L(u,x,x \ 1). [para(6427(a,1),6479(a,1,2))]. 6481 L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y / (y * x)) * L((y / (y * x)) \ 1,z,u). [para(1052(a,1),4321(a,2,2,1,1))]. 6482 L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y * L(y \ (y * x),z,u)) / (y * x). [hyper(230,a,1319,a(flip),b,6481,a),flip(a)]. 6483 L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y * L(x,z,u)) / (y * x). [para(4(a,1),6482(a,2,1,2,1))]. 6484 L(T(x \ 1,y \ 1) * L(T(x,y \ 1),z,u),x,y) = (y * L(x,z,u)) / (y * x). [para(1847(a,1),6483(a,1,1,2,1))]. 6485 a(T(x,y \ 1),T(x \ 1,y \ 1),z / L(y,T(x,y \ 1),(y * x) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). [para(1845(a,2),5402(a,1,2))]. 6486 a(T(x,y \ 1),T(x \ 1,y \ 1),z / L(y,x,(x * y) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). [para(5414(a,1),6485(a,1,3,2))]. 6487 a(T(x,y \ 1),T(x \ 1,y \ 1),(z / (x * y)) * x) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). [para(4986(a,1),6486(a,1,3))]. 6488 a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,(z / (x * y)) * x). [hyper(5822,a,6487,a),flip(a)]. 6490 a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,z / (x * y)). [hyper(230,a,5400,a(flip),b,6488,a),flip(a)]. 6491 a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,(x * y) \ z). [hyper(230,a,5396,a(flip),b,6490,a),flip(a)]. 6492 a(x,x \ 1,y / (z * x)) = a(x,x \ 1,(x * z) \ y). [hyper(5818,a,6491,a)]. 6494 a(x,x \ 1,(y * x) \ z) = a(x,x \ 1,(x * y) \ z). [hyper(57,a,5396,a(flip),b,6492,a)]. 6495 (x \ L(x,y,z)) \ L(((L(x,y,z) \ x) \ 1) * (L(x,y,z) \ L(x,u,w)),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). [para(5423(a,1),5445(a,1,1))]. 6496 (x \ L(x,y,z)) \ L(x \ L(x,u,w),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). [para(6399(a,1),6495(a,1,2,1))]. 6497 (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,w,v5))) = (L(x,y,z) \ x) * L(x \ L(x,w,v5),x,u). [para(3043(a,1),6496(a,1,2))]. 6499 (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,w,v5))) = x * (L(x,y,z) \ L(x \ L(x,w,v5),x,u)). [hyper(230,a,5514,a(flip),b,6497,a),flip(a)]. 6500 ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T(x \ L(x,y,z),L(u,x,x \ 1)). [para(1214(a,1),5889(a,2,2,1))]. 6501 ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T(x \ L(x,y,z),u). [para(4813(a,1),6500(a,2,2))]. 6502 ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = x * ((x \ L(x,y,z)) * u). [hyper(230,a,5422,a(flip),b,6501,a),flip(a)]. 6504 (x \ L(x,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = x * ((x \ L(x,y,z)) * u). [para(1214(a,1),6502(a,1,1))]. 6505 (x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u). [para(847(a,1),6504(a,1,2))]. 6506 x \ ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * (x \ u). [hyper(368,a,6505,a)]. 6507 x * ((x \ L(x,y,z)) * (x \ u)) = (x \ L(x,y,z)) * u. [hyper(242,a,6505,a),flip(a)]. 6508 (x \ L(x,y,z)) \ (x * u) = x * ((x \ L(x,y,z)) \ u). [hyper(28,a,223,a,b,6505,a)]. 6509 (x * ((x \ L(x,y,z)) * u)) \ (((x \ L(x,y,z)) * x) * u) = a(x \ L(x,y,z),x,u). [para(6505(a,1),9(a,2,1)),flip(a)]. 6510 ((x \ L(x,y,z)) * x) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). [para(6505(a,1),13(a,2,2)),flip(a)]. 6511 x * ((x \ L(x,y,z)) * T(u,x)) = (x \ L(x,y,z)) * (u * x). [para(93(a,1),6505(a,1,2)),flip(a)]. 6512 (x \ 1) * (x * ((x \ L(x,y,z)) * u)) = (x \ L(x,y,z)) * L(u,x,x \ 1). [para(6505(a,1),6480(a,1,2))]. 6513 (x \ L(x,y,y \ 1)) * (x \ z) = x \ (a(x,y,y \ 1) * z). [para(1108(a,1),6506(a,1,2,1)),flip(a)]. 6514 x \ ((x \ L(x,y,z)) * L(u,x,x \ 1)) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1140(a,1),6506(a,2,2))]. 6515 ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x \ L(x,y,z),x \ u). [para(6507(a,1),77(a,1,1))]. 6516 (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u) = a(x,x \ L(x,y,z),x \ u). [para(6507(a,1),5115(a,1,2))]. 6517 L(x,y,z) \ ((x * ((x \ L(x,y,z)) * (x \ u))) / (x \ u)) = (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u). [para(6507(a,1),5487(a,1,2)),flip(a)]. 6518 T(x * ((x \ L(x,y,z)) * u),x) = (x \ L(x,y,z)) * (u * x). [hyper(57,a,1481,a,b,6511,a)]. 6519 x \ (a(x,y,y \ 1) * z) = a(x,y,y \ 1) * (x \ z). [para(1108(a,1),6513(a,1,1)),flip(a)]. 6520 ((x \ L(x,y,z)) * u) * x = (x \ L(x,y,z)) * (u * x). [hyper(738,a,6518,a)]. 6521 L((x \ L(x,y,z)) * u,x,x \ 1) = (x \ L(x,y,z)) * L(u,x,x \ 1). [hyper(855,a,6512,a)]. 6522 x \ L((x \ L(x,y,z)) * u,x,x \ 1) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(6521(a,2),6514(a,1,2))]. 6523 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [hyper(1149,a,6522,a),flip(a)]. 6524 ((x \ 1) * ((x \ L(x,y,z)) * (u \ 1))) \ 1 = (u * ((x \ 1) \ 1)) * ((x \ L(x,y,z)) \ 1). [para(6523(a,1),5612(a,1,1))]. 6525 L(x,y,z) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). [para(681(a,1),6510(a,1,1))]. 6526 L(x,y \ L(y,z,u),y) = L(x,y,y \ L(y,z,u)). [hyper(390,a,6525,a)]. 6527 x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). [hyper(57,a,1382,a(flip),b,6525,a)]. 6528 a(x,x \ L(x,y,z),x \ u) = a(x,x \ L(x,y,z),u). [hyper(6197,a,6515,a),flip(a)]. 6530 (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u) = a(x,x \ L(x,y,z),u). [hyper(230,a,6528,a(flip),b,6516,a),flip(a)]. 6532 (x * ((x \ L(x,y,z)) * u)) \ (L(x,y,z) * u) = a(x \ L(x,y,z),x,u). [para(681(a,1),6509(a,1,2,1))]. 6533 a(x \ L(x,y,z),x,u) = a(x,x \ L(x,y,z),u). [hyper(461,a,6532,a),flip(a)]. 6534 a((x \ L(x,y,z)) * u,w,a(x,x \ L(x,y,z),u)) = 1. [para(6533(a,1),6266(a,1,3))]. 6535 a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u) = x * 1. [para(6534(a,1),6273(a,1,2)),flip(a)]. 6536 a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u) = x. [hyper(230,a,3,a(flip),b,6535,a),flip(a)]. 6537 (x * ((y \ L(y,z,u)) \ 1)) * ((y \ 1) \ 1) = (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1). [hyper(5652,a,6524,a)]. 6538 (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * ((y \ 1) \ 1). [para(5428(a,1),6537(a,1,1,2)),flip(a)]. 6539 (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * y. [para(614(a,1),6538(a,2,2))]. 6540 (x * y) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * y. [para(614(a,1),6539(a,1,1,2))]. 6541 (x * (L(y,z,u) \ y)) * y = (x * y) * (L(y,z,u) \ y). [para(5428(a,1),6540(a,1,2)),flip(a)]. 6542 (x * (L(y,z,u) \ y)) \ ((x * y) * (L(y,z,u) \ y)) = y. [hyper(101,a,6541,a)]. 6543 (K(L(x,y,z) \ x,u * x) * (u * (L(x,y,z) \ x))) \ ((L(x,y,z) \ x) * (u * x)) = x. [hyper(57,a,5067,a,b,6542,a)]. 6544 (a(x,y,K(z,u * z)) * (u * (L(z,y,x) \ z))) \ ((L(z,y,x) \ z) * (u * z)) = z. [para(4726(a,1),6543(a,1,1,1))]. 6545 (a(x,y,K(z,u)) * (u * (L(z,y,x) \ z))) \ ((L(z,y,x) \ z) * (u * z)) = z. [para(1727(a,1),6544(a,1,1,1,3))]. 6546 (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u) = L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)). [para(6507(a,1),6517(a,1,2,1)),flip(a)]. 6547 L(L(x,x \ 1,y \ 1),z,u) \ L(x,z,u) = L(x \ L(x,x \ 1,y \ 1),z,u) \ 1. [para(5756(a,1),5909(a,1,2))]. 6548 L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(L(x,x \ 1,y \ 1) \ x,z,u). [hyper(57,a,5903,a(flip),b,6547,a),flip(a)]. 6550 L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(x * R(x \ 1,x,y),z,u). [para(5802(a,1),6548(a,2,1))]. 6551 L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(x * L(x \ 1,x,y),z,u). [para(5745(a,1),6550(a,2,1,2))]. 6552 R(x * R(x \ 1,x,y),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). [hyper(57,a,5803,a,b,6551,a)]. 6553 R(x * L(x \ 1,x,y),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). [para(5745(a,1),6552(a,1,1,2))]. 6554 ((x * ((x / y) \ x)) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). [para(2305(a,1),6339(a,1,1,1))]. 6555 ((x * y) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). [para(72(a,1),6554(a,1,1,1,2))]. 6556 a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * ((y / z) \ (y * 1)),x). [para(2829(a,1),6555(a,1,2,1,2)),flip(a)]. 6557 a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * ((y / z) \ y),x). [para(3(a,1),6556(a,2,2,1,2,2))]. 6558 a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * z,x). [para(72(a,1),6557(a,2,2,1,2))]. 6559 a(x,y,(y / z) \ y) = ((y * z) * x) \ T((x * y) * z,x). [para(253(a,1),6558(a,1,3))]. 6560 a(x,y,z) = ((y * z) * x) \ T((x * y) * z,x). [para(72(a,1),6559(a,1,3))]. 6561 T((x * y) * z,x) / a(x,y,z) = (y * z) * x. [hyper(160,a,6560,a(flip))]. 6562 (x * y) \ T((y * z) * (z \ x),y) = a(y,z,z \ x). [para(5(a,1),6560(a,2,1,1)),flip(a)]. 6563 ((x * y) * z) \ T((T(z,y) * x) * T(y,z),T(z,y)) = a(T(z,y),x,T(y,z)). [para(2515(a,1),6560(a,2,1)),flip(a)]. 6564 a(x,y,z) \ T((x * y) * z,x) = (y * z) * x. [hyper(57,a,5382,a(flip),b,6561,a)]. 6565 ((x * y) * z) \ T((z * x) * y,z) != u | a(z,x,y) = u. [para(6561(a,1),243(a,1,1))]. 6566 x \ T((y * z) * (z \ (x / y)),y) = a(y,z,z \ (x / y)). [para(7(a,1),6562(a,1,1))]. 6567 x \ (y \ ((y * z) * (z \ ((x / y) * y)))) = a(y,z,z \ (x / y)). [para(3698(a,2),6566(a,1,2))]. 6568 x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ (x / y)). [para(7(a,1),6567(a,1,2,2,2,2))]. 6569 a(x,y,y \ (z / x)) = a(x,y,y \ z). [hyper(6182,a,6568,a),flip(a)]. 6570 a(x,y,y \ 1) = a(x,y,y \ x). [para(66(a,1),6569(a,1,3,2))]. 6571 a(x,y,y \ T(z,x)) = a(x,y,y \ (x \ z)). [para(677(a,1),6569(a,1,3,2)),flip(a)]. 6572 a(x * y,x,x \ (x * y)) = a(y,x,x \ 1). [hyper(5709,a,6570,a),flip(a)]. 6573 a(x,y \ x,(y \ x) \ x) = a(y,y \ x,x \ 1). [hyper(57,a,5791,a(flip),b,6570,a),flip(a)]. 6574 a(x,y \ 1,(y \ 1) \ x) = a(x,y,y \ 1). [hyper(57,a,5782,a(flip),b,6570,a),flip(a)]. 6575 a(T(x,y) / z,T(x,y),T(x,y) \ 1) = a(T(x,y) / z,T(x,y),x \ (x / z)). [para(4909(a,1),6570(a,2,3))]. 6576 a(x * y,x,y) = a(y,x,x \ 1). [para(4(a,1),6572(a,1,3))]. 6577 a(x,y,y \ 1) = a(y,y,x). [hyper(57,a,6263,a(flip),b,6576,a),flip(a)]. 6578 a((x * y) \ z,x,x \ 1) = a(x,x,(y * x) \ z). [hyper(5989,a,6577,a)]. 6579 a(x,y,y \ 1) = a(y,y,T(x,z)). [hyper(5786,a,6577,a)]. 6580 a(x,y,(x * y) \ 1) = a(y,y,x). [hyper(57,a,5685,a,b,6577,a)]. 6581 x \ L(x,y,y \ 1) = a(y,y,x). [hyper(57,a,1108,a,b,6577,a)]. 6582 a(x,y,y \ x) = a(y,y,x). [hyper(57,a,6570,a(flip),b,6577,a)]. 6583 a(L(x,y,z),u,u \ 1) = a(u,u,L(u \ x,y,z)). [hyper(57,a,6002,a(flip),b,6577,a)]. 6584 a(x,x \ 1,y) = a(x,x,y \ 1). [hyper(57,a,5764,a(flip),b,6577,a)]. 6585 a(x,y,y \ 1) = a(y,y,y \ x). [hyper(57,a,5710,a(flip),b,6577,a)]. 6586 a(x,x \ 1,y) = a(x,x,y) \ 1. [para(6577(a,1),5438(a,1,1)),flip(a)]. 6587 (x \ y) * a(x,x,y) = (x \ 1) * y. [para(6577(a,1),5694(a,1,2))]. 6588 (x \ ((y / x) \ 1)) \ a(x,x,y) = y. [para(6577(a,1),5854(a,1,2))]. 6589 a(x,x \ 1,L(y \ K(y,z),u,w)) = L(a(x,x,y),u,w). [para(6577(a,1),5868(a,2,1))]. 6590 a(R(x,y,z \ 1),u,u \ 1) = L(a(u,u,x),y \ 1,z). [para(6577(a,1),5879(a,2,1))]. 6591 a(L(x,y \ 1,z),u,u \ 1) = R(a(u,u,x),y,z \ 1). [para(6577(a,1),5881(a,2,1))]. 6592 a(x,x \ 1,y) \ x = x * a(x,x,y). [para(6577(a,1),6123(a,2,2))]. 6593 a(x,x,T(y,z)) = a(x,x,y). [hyper(57,a,6577,a(flip),b,6579,a),flip(a)]. 6594 a(x,x,y / z) = a(x,x,z \ y). [para(95(a,1),6593(a,1,3)),flip(a)]. 6595 a(x,x,R(y / z,u,w)) = a(x,x,R(z \ y,u,w)). [para(198(a,1),6593(a,1,3)),flip(a)]. 6596 a(x,x,R(y \ z,y,u)) = a(x,x,(z * u) / (y * u)). [para(366(a,1),6593(a,1,3))]. 6597 (x * y) * a(y,y,x) = x * R(y,y,x). [para(6593(a,1),6300(a,1,2))]. 6598 (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * L(a(z,z,y),u,w)) * (y * (z * ((y * z) \ 1))). [para(6580(a,1),5899(a,2,1,2,1))]. 6600 a(x,x,y) != z | a(y,x,x \ 1) = z. [para(6581(a,1),1112(a,1))]. 6601 a(x,x,L(y,z,y * x) \ 1) = a(x,x \ 1,y). [hyper(5867,a,6584,a),flip(a)]. 6602 a(x,x,(y \ x) \ 1) = a(y,x,x \ 1). [hyper(5844,a,6584,a),flip(a)]. 6603 a(x,x,(y * x) \ 1) = a(x,x \ 1,y). [hyper(5401,a,6584,a),flip(a)]. 6604 x * (y * ((x * y) \ 1)) = a(y,y,x \ 1). [hyper(57,a,5684,a,b,6584,a)]. 6605 x * L(x \ 1,x,y) = a(x,x,y \ 1). [hyper(57,a,4345,a,b,6584,a)]. 6606 L(x,y,y \ 1) \ x = a(y,y,x \ 1). [hyper(57,a,1181,a,b,6584,a)]. 6607 a(x,x \ 1,(x * y) \ z) = a(x,x,((y * x) \ z) \ 1). [hyper(57,a,6494,a(flip),b,6584,a)]. 6608 a(x,x,L(y \ z,x,y) \ 1) = a(x,x \ 1,(y * x) \ z). [hyper(57,a,5871,a(flip),b,6584,a),flip(a)]. 6609 (x * y) * a(x,x,y \ 1) = (x \ 1) \ y. [para(6584(a,1),3253(a,1,2))]. 6610 (x \ y) \ a(x,x,y \ 1) = (y \ 1) * x. [para(6584(a,1),5849(a,1,2))]. 6611 a(x,x \ 1,L(y,z,u)) = L(a(x,x,y \ 1),z,u). [para(6584(a,1),5863(a,2,1))]. 6612 (x \ ((x \ 1) \ y)) \ a(x,x,y \ 1) = y \ 1. [para(6584(a,1),5944(a,1,2))]. 6613 a(x,x,x \ y) = a(x,x,y). [hyper(57,a,6577,a(flip),b,6585,a),flip(a)]. 6614 a(x,x,x * y) = a(x,x,y). [para(4(a,1),6613(a,1,3)),flip(a)]. 6615 a(x,x,y \ 1) = a(x,x,y) \ 1. [hyper(57,a,6584,a(flip),b,6586,a)]. 6616 a(x,x,(K(y,z) * u) / z) = a(x,x,T(z,y) \ u). [para(2148(a,1),6594(a,2,3))]. 6617 (x \ 1) * a(y,y,z \ 1) = (a(y,y,z) * x) \ 1. [para(6615(a,2),5585(a,1,2))]. 6618 a(x,x,x \ y) != z | a(y,x,x \ 1) = z. [para(6613(a,2),6600(a,1))]. 6619 (x * y) * a(y,y,x) != x * z | R(y,y,x) = z. [para(6597(a,2),37(a,1))]. 6621 a(x,x,(y \ x) \ 1) = a(x,x,y). [hyper(230,a,6577,a(flip),b,6602,a),flip(a)]. 6622 a(x,x,(y * x) \ 1) = a(x,x,y \ 1). [hyper(230,a,6584,a(flip),b,6603,a),flip(a)]. 6623 x \ a(x,x,y \ 1) = L(x \ 1,x,y). [hyper(101,a,6605,a)]. 6624 x * (y \ (y / x)) = a(x,x,y \ 1). [para(2279(a,1),6605(a,1,2))]. 6625 a(x \ y,x \ y,y \ 1) = (x \ y) * (y \ x). [para(2286(a,1),6605(a,1,2)),flip(a)]. 6626 R(a(x,x,y \ 1),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). [para(6605(a,1),6553(a,1,1))]. 6627 x * (y \ (y / x)) = a(x,x,y) \ 1. [hyper(230,a,6615,a(flip),b,6624,a),flip(a)]. 6628 a(x,y,x \ (y \ x)) = a(y,y,x). [hyper(6161,a,6627,a(flip))]. 6629 x * (y * (x \ (x / y))) = a(y,y,x) \ x. [para(6628(a,1),5229(a,1,1)),flip(a)]. 6630 a(x,x,y \ 1) != z | a(x,x \ 1,y) = z. [para(6606(a,1),1195(a,1))]. 6631 a(x \ y,x \ y,y \ 1) = a(x \ y,x \ y,x \ 1). [para(5(a,1),6622(a,1,3,1))]. 6632 x \ (a(x,x,y) \ 1) = L(x \ 1,x,y). [para(6615(a,1),6623(a,1,2))]. 6633 x * (y * a(x,x,y \ 1)) = (x \ 1) \ y. [hyper(6108,a,6609,a)]. 6634 a(x \ y,x,x \ 1) != z | a(y,x,x \ 1) = z. [para(6577(a,2),6618(a,1))]. 6635 x * a(y,y,x \ 1) = a(y,y,x) \ x. [para(6624(a,1),6629(a,1,2))]. 6637 x * (a(x,x,y) \ y) = (x \ 1) \ y. [para(6635(a,1),6633(a,1,2))]. 6638 a(x,y \ 1,(y \ 1) \ x) = a(y,y,x). [hyper(230,a,6577,a(flip),b,6574,a),flip(a)]. 6639 a(x \ 1,y \ 1,(y \ 1) \ (x \ 1)) = a(y,y \ 1,x). [hyper(230,a,5764,a(flip),b,6574,a),flip(a)]. 6640 a(x \ 1,x \ 1,y) = a(x,x,y). [hyper(57,a,6582,a(flip),b,6638,a)]. 6641 a(x,y \ x,T(y,x)) = a(y,y \ x,x \ 1). [para(693(a,2),6573(a,1,3))]. 6642 a(x,x,(y * x) \ z) = a(x,x,(x * y) \ z). [hyper(57,a,6577,a(flip),b,6578,a),flip(a)]. 6643 a(x,x,L(x \ y,z,u)) = a(x,x,L(y,z,u)). [hyper(57,a,6577,a(flip),b,6583,a),flip(a)]. 6644 a(x,x,K(y,z) * (u / z)) = a(x,x,T(z,y) \ u). [para(3422(a,1),6616(a,1,3))]. 6645 a(x,x,K(y,K(z,u)) * (w / K(y,u))) = a(x,x,T(K(y,u),z) \ w). [para(3738(a,1),6644(a,1,3,1))]. 6646 a(x,x,R(y \ z,y,u)) = a(x,x,(y * u) \ (z * u)). [hyper(230,a,6594,a(flip),b,6596,a),flip(a)]. 6647 a(x,x,(y * z) \ ((y * u) * z)) = a(x,x,R(u,y,z)). [para(4(a,1),6646(a,1,3,1)),flip(a)]. 6648 a(x,x,T(y * z,z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,T(y,z),z)). [para(652(a,2),6647(a,1,3,1))]. 6649 a(x,x,L(y \ K(y,z),u,w) \ 1) = L(a(x,x,y),u,w). [hyper(57,a,6584,a(flip),b,6589,a)]. 6650 a(x \ 1,y \ 1,(x / y) \ 1) = a(y,y \ 1,x). [para(5605(a,1),6639(a,1,3))]. 6651 a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,T(K(y,u),z) \ w). [para(2166(a,1),6645(a,1,3,2))]. 6652 a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,K(T(u,z),y) * w). [para(2158(a,1),6651(a,2,3))]. 6653 a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,K(u,T(y,z)) * w). [para(2226(a,1),6652(a,2,3,1))]. 6654 a(x,x,T(y * z,z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,y,z)). [para(2676(a,1),6648(a,2,3))]. 6655 ((x * y) * z) \ T(T((z * x) * y,K(z,y)),T(z,y)) = a(T(z,y),x,T(y,z)). [para(5185(a,2),6563(a,1,2,1))]. 6656 ((x * y) * z) \ T((z * x) * y,z) = a(T(z,y),x,T(y,z)). [para(3813(a,1),6655(a,1,2))]. 6657 a(T(x,y),z,T(y,x)) = a(x,z,y). [hyper(6565,a,6656,a),flip(a)]. 6659 a(T(x,y),z,T(y,x)) != u | a(x,z,y) = u. [para(6656(a,1),6565(a,1))]. 6660 a(x,y,z) = y \ ((T(x,z) \ ((T(x,z) * y) * T(z,x))) / T(z,x)). [hyper(57,a,6232,a(flip),b,6657,a),flip(a)]. 6662 a(x,y,z) = y \ ((T(x,z) \ T((x * y) * z,K(x,z))) / T(z,x)). [para(5185(a,2),6660(a,2,2,1,2))]. 6663 a(x,y,z) = y \ (T(T(x,z) \ ((x * y) * z),K(x,z)) / T(z,x)). [para(4207(a,2),6662(a,2,2,1))]. 6664 a(x,y,z) = y \ (T(((x * y) * z) / T(x,z),x) / T(z,x)). [para(3828(a,1),6663(a,2,2,1))]. 6665 a(x,y,z) = y \ ((x \ ((x * y) * T(z,x))) / T(z,x)). [para(2544(a,1),6664(a,2,2,1))]. 6666 a(x,y,T(z,x)) = a(x,y,z). [hyper(230,a,6232,a,b,6665,a)]. 6667 a(x,x \ y,y \ 1) = a(y,x \ y,x). [hyper(57,a,6641,a(flip),b,6666,a)]. 6668 a(T(x,y),z,T(y,x)) = a(T(x,y),z,y). [para(762(a,1),6666(a,1,3))]. 6670 a(x \ 1,y,(z / x) \ 1) = a(x \ 1,y,(x \ z) \ 1). [para(1854(a,1),6666(a,1,3))]. 6671 a(x,y,K(x / z,u)) = a(x,y,K(z \ x,u)). [para(2106(a,1),6666(a,1,3)),flip(a)]. 6672 a(x,y \ x,y) \ T((y * (y \ x)) * (x \ 1),y) = ((y \ x) * (x \ 1)) * y. [para(6667(a,1),6564(a,1,1))]. 6673 a(T(x,y),z,y) = a(x,z,y). [hyper(6659,a,6668,a),flip(a)]. 6674 a(x \ y,z,x) = a(y,z,x). [hyper(57,a,6265,a(flip),b,6673,a)]. 6675 a(x,x \ y,(x \ y) \ x) = a(y,x \ y,x). [hyper(57,a,6582,a,b,6674,a)]. 6676 (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). [hyper(57,a,5695,a(flip),b,6674,a)]. 6677 a(x * y,z,x) = a(y,z,x). [para(4(a,1),6674(a,1,1)),flip(a)]. 6678 a(x \ (y * (x * ((y * x) \ (x * z)))),u,y) = a(L(y \ z,x,y),u,y). [para(3219(a,2),6677(a,1,1))]. 6679 a((x \ 1) * y,x,x \ 1) * (((x \ 1) * y) \ z) = ((x \ 1) * y) \ (a(y,x,x \ 1) * z). [para(6677(a,1),6519(a,1,2,1)),flip(a)]. 6680 a(x,y,K(z \ x,u)) = a(z,y,K(x / z,u)). [hyper(57,a,6473,a,b,6671,a),flip(a)]. 6681 a(x,x \ y,(y \ x) * x) = a(y,x \ y,x). [para(2310(a,1),6675(a,1,3))]. 6682 a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). [hyper(230,a,6471,a(flip),b,6680,a),flip(a)]. 6683 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(6474,a,6682,a)]. 6684 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(6682(a,1),6474(a,1))]. 6685 a(x,y,K(z,x \ u)) = a(z,y,K(u,x)). [hyper(4508,a,6683,a),flip(a)]. 6686 a(x,y,K(z,u \ x)) = a(z,y,K(x,u)). [hyper(4507,a,6683,a),flip(a)]. 6687 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(230,a,6461,a,b,6683,a)]. 6688 K(x,L(y,z,u)) * K(y,x) = a(y,z,K(x,u)). [hyper(230,a,4596,a,b,6683,a)]. 6689 a(x,y,K(z \ u,z)) = a(u,y,K(z,x)). [hyper(230,a,4499,a,b,6683,a)]. 6690 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(230,a,4966,a(flip),b,6683,a),flip(a)]. 6691 a(x,y,K(z,u)) = K(a(u,y,x),z). [hyper(230,a,4865,a(flip),b,6683,a),flip(a)]. 6692 a(x,y * z,K(z,u)) = a(u,y,K(x,z)). [hyper(230,a,4648,a(flip),b,6683,a),flip(a)]. 6693 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(57,a,6461,a,b,6683,a)]. 6694 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(57,a,4966,a(flip),b,6683,a),flip(a)]. 6695 a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). [hyper(57,a,4612,a(flip),b,6683,a),flip(a)]. 6696 a(x,y,K(z,x * u)) = a(z,y,K(u,x)). [hyper(57,a,4500,a(flip),b,6683,a),flip(a)]. 6697 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(52,a,6683,a)]. 6698 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(1696(a,1),6683(a,1,3)),flip(a)]. 6699 a(x,y,K(z,u * x)) = a(z,y,K(u,x)). [para(1806(a,1),6683(a,1,3)),flip(a)]. 6700 a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ u)). [para(2039(a,1),6683(a,1,3))]. 6701 a(T(x,y) \ z,u,K(w,y)) = a(w,u,K(y,x \ z)). [para(3518(a,1),6683(a,1,3)),flip(a)]. 6702 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(3735(a,1),6683(a,1,3))]. 6703 a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(u,z))). [para(3747(a,1),6683(a,1,3))]. 6704 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [para(6683(a,2),4494(a,1,2))]. 6705 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(6683(a,2),4502(a,1,1))]. 6706 a(x,y,K(x \ z,u)) != w | a(u,y,K(x,z)) = w. [para(6683(a,2),4505(a,1))]. 6707 a(x,y,K(z,u \ x)) != w | a(z,y,K(x,u)) = w. [para(6683(a,1),4507(a,1))]. 6708 a(x,y,K(z,x \ u)) != w | a(z,y,K(u,x)) = w. [para(6683(a,1),4508(a,1))]. 6709 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(6683(a,1),4578(a,1,2))]. 6710 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(6683(a,2),4578(a,1,2))]. 6711 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(6683(a,1),4609(a,1,1))]. 6712 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(6683(a,2),4609(a,1,1))]. 6713 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(6683(a,1),4968(a,1,2))]. 6714 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(6683(a,2),4968(a,1,2))]. 6715 x * a(y,z,K(u,x)) != w | T(x,a(u,z,y)) = w. [para(6683(a,1),4970(a,1,2))]. 6716 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(6683(a,2),4970(a,1,2))]. 6717 a(x,y,K(z,u)) * (u * w) = T(u,a(z,y,x)) * w. [para(6683(a,1),4971(a,1,1))]. 6718 (x * y) * a(z,u,K(w,y)) = x * T(y,a(w,u,z)). [para(6683(a,1),4973(a,1,2))]. 6719 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(6683(a,2),4973(a,1,2))]. 6720 a(x,y,K(z,u)) * (u * w) != v5 | T(u,a(z,y,x)) * w = v5. [para(6683(a,1),4972(a,1,1))]. 6721 a(x,y,K(z,u)) * (x * w) != v5 | T(x,a(u,y,z)) * w = v5. [para(6683(a,2),4972(a,1,1))]. 6723 (x * y) * a(y,z,K(u,w)) != v5 | x * T(y,a(w,z,u)) = v5. [para(6683(a,2),4974(a,1,2))]. 6724 (K(x,y) * (T(z,u) * w)) * a(x,T(z,u),K(w,y)) = (T(T(z,K(y,x)),u) * K(x,y)) * w. [para(6687(a,1),2695(a,1,2))]. 6725 ((x * y) / a(y,z,K(u,x))) \ (y * x) = K(y,x) * a(K(y,x),z,u). [para(6687(a,1),4993(a,1,1,2))]. 6726 a(x,y,K(y \ z,T(u,y))) * (K(x,T(u,y)) * z) = (y * K(x,u)) * (y \ z). [para(6687(a,1),5127(a,1,1))]. 6727 x * (a(x,y,K((K(x,z) * y) \ u,z)) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). [para(6687(a,1),5148(a,1,2,1))]. 6728 x * (a(x,K(y,x) * z,K(z \ u,y)) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). [para(6687(a,1),5388(a,1,2,1))]. 6729 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(230,a,5187,a,b,6690,a)]. 6730 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(6690(a,1),4966(a,2,2))]. 6731 K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(u,y)). [para(6145(a,2),6690(a,2,2)),flip(a)]. 6732 K(a(x,x,y),z) = 1. [hyper(57,a,2523,a(flip),b,6691,a),flip(a)]. 6733 (x / y) * a(z,u,K(y,w)) = x / T(y,a(w,u,z)). [para(6691(a,2),2487(a,1,2))]. 6734 a(a(x,x,y),z,K(u,w)) = 1. [hyper(57,a,6690,a,b,6732,a)]. 6735 T(a(x,x,y),z) = a(x,x,y). [hyper(50,a,6732,a)]. 6736 a(a(x,x,y),z,K(u,w)) = v5 \ v5. [hyper(230,a,60,a,b,6734,a),flip(a)]. 6737 T(a(x,x,y),z) = a(x,x,T(y,u)). [hyper(230,a,6593,a,b,6735,a),flip(a)]. 6738 T(x,a(y,y,z)) = x. [hyper(48,a,6735,a)]. 6739 a(x,x,y) * z = z * a(x,x,y). [para(6735(a,1),93(a,1,2)),flip(a)]. 6740 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(6735(a,1),216(a,1,2))]. 6741 x / a(y,y,z) != u | a(y,y,z) \ x = u. [para(6735(a,1),239(a,1,2))]. 6742 a(x,x,y) / z = z \ a(x,x,y). [para(6735(a,1),677(a,1,1))]. 6743 (L(a(x,x,y),z,u) \ 1) * (w * a(x,x,y)) = a(x,x,y) * ((L(a(x,x,y),z,u) \ 1) * w). [para(6735(a,1),1170(a,1,2,2))]. 6744 a(x,x,y) \ z != u | z / a(x,x,y) = u. [para(6738(a,1),199(a,1)),flip(a)]. 6745 a(x,x,y) * z != u | z * a(x,x,y) = u. [para(6738(a,1),216(a,1,2))]. 6746 x * a(y,y,z) != u | a(y,y,z) \ u = x. [para(6738(a,1),686(a,1)),flip(a)]. 6747 L(a(x,x,y),z,z \ u) * u = (u / z) * (z * a(x,x,y)). [para(6738(a,1),5189(a,1,2))]. 6748 K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u). [para(6693(a,2),4435(a,1,2))]. 6749 K(x,y) * ((z * u) * a(u,z,K(y,x))) = (K(x,y) * z) * u. [para(6693(a,1),6124(a,1,2,2))]. 6750 a(x,y,K(z,u)) * u != w | T(u,a(z,y,x)) = w. [para(6694(a,2),1650(a,1,1))]. 6751 a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). [para(6694(a,1),4966(a,2,2))]. 6752 (a(x,x,y) * z) * K(u,w) = a(x,x,y) * (z * K(u,w)). [hyper(112,a,6736,a(flip)),flip(a)]. 6753 a(x,x,T(y,z)) != u | a(x,x,y) = u. [para(6737(a,1),164(a,1))]. 6754 a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = R(a(z,z,u) \ 1,x,y) * a(z,z,u). [hyper(57,a,6359,a,b,6739,a)]. 6755 (x * R(x \ (a(y,y,z) \ x),u,w)) * a(y,y,z) = (a(y,y,z) * R(a(y,y,z) \ 1,u,w)) * x. [hyper(57,a,1438,a(flip),b,6739,a),flip(a)]. 6756 ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = (z * a(x,x,y)) \ ((z * (a(x,x,y) * u)) / u). [para(6739(a,2),3056(a,1,1,1))]. 6757 (a(x,x,y) * z) \ T((a(x,x,y) * u) * z,u) = R(u,a(x,x,y),z). [para(6739(a,2),6088(a,2,2,1,1)),flip(a)]. 6758 (x * a(y,y,z)) * a(a(y,y,z),u,w) = a(y,y,z) * (x * a(a(y,y,z),u,w)). [para(6739(a,1),6107(a,1,1))]. 6759 a(x,x,L(T(y,z),u,w)) != v5 | a(x,x,L(y,u,w)) = v5. [para(20(a,2),6753(a,1,3))]. 6761 a(x,x,y / z) != u | a(x,x,z \ y) = u. [para(742(a,1),6753(a,1,3))]. 6762 a(x,y,y \ 1) != z | a(y,y,x) = z. [para(6579(a,2),6753(a,1))]. 6764 a(x,y * K(z,u),K(u,z) / y) != w | a(y * K(z,u),y * K(z,u),x) = w. [para(4778(a,1),6762(a,1,3))]. 6765 a(x,x \ 1,y) != z | a(x,x,y \ 1) = z. [para(5764(a,1),6762(a,1))]. 6766 a(R(x,y,z),y,y \ 1) != u | a(y,y,(y * z) \ (x * z)) = u. [para(5878(a,1),6762(a,1))]. 6767 a(x,y,y \ x) != z | a(y,y,x) = z. [para(6570(a,1),6762(a,1))]. 6768 a(x,x,x \ y) != z | a(x,x,y) = z. [para(6585(a,1),6762(a,1))]. 6769 a(x,x,(y \ x) \ 1) != z | a(x,x,y) = z. [para(6602(a,2),6762(a,1))]. 6770 a(x,y \ 1,(y \ 1) \ x) != z | a(y,y,x) = z. [para(6574(a,2),6762(a,1))]. 6772 L(a(x,x,y),z \ 1,u) != w | a(x,x,R(y,z,u \ 1)) = w. [para(6590(a,1),6762(a,1))]. 6773 R(a(x,x,y),z,u \ 1) != w | a(x,x,L(y,z \ 1,u)) = w. [para(6591(a,1),6762(a,1))]. 6774 a(T(x,y) / z,T(x,y),x \ (x / z)) != u | a(T(x,y),T(x,y),T(x,y) / z) = u. [para(4909(a,1),6767(a,1,3))]. 6775 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(6685(a,1),6475(a,1))]. 6776 a(x,y,K(z \ y,u)) = a(u,z,K(x,z \ y)). [para(5(a,1),6692(a,1,2))]. 6777 a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). [hyper(230,a,6683,a(flip),b,6695,a),flip(a)]. 6778 T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). [para(6695(a,1),4968(a,1,2)),flip(a)]. 6779 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(230,a,6683,a(flip),b,6696,a),flip(a)]. 6780 (x * (y * a(x,z,u))) * a(u,z,K(y,x)) = L(a(x,z,u),y,x) * (x * y). [para(6696(a,1),5146(a,1,2))]. 6781 K(x,L(y,z,u \ 1)) * a(x,z,K(u,y)) = K(x,y). [para(6698(a,1),4597(a,1,2))]. 6782 T(x,a(y,z,u) \ x) = T(x,a(u,z,y)). [hyper(4874,a,6713,a)]. 6783 T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). [para(6713(a,1),4679(a,1,1))]. 6785 T(x,(y * ((y \ z) * u)) \ (z * u)) = x * a(x,y \ z,K(u,y)). [para(77(a,2),6714(a,2,2)),flip(a)]. 6786 x * a(x,y,K(z,L(u,w,v5))) = T(x,a(u,y,L(z,w,v5))). [para(4624(a,1),6714(a,1,2,3))]. 6787 K(x \ L(x,y,z),u) = a(u,y,K(x,z)). [hyper(2063,a,6729,a)]. 6788 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(222(a,1),6729(a,1,2,1))]. 6789 a(x,y,K(z,u)) != w | K(z \ L(z,y,u),x) = w. [para(6729(a,1),2063(a,1))]. 6790 L(x,y,z) * a(u,y,K(x,z)) != w | x * T(x \ L(x,y,z),u) = w. [para(6729(a,1),2667(a,1,2))]. 6791 T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). [hyper(1073,a,6782,a)]. 6792 T(T(x,a(y,z,u)),a(u,z,y)) = x. [hyper(744,a,6782,a)]. 6794 T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). [hyper(267,a,6783,a)]. 6795 T(x * y,a(z,x,y)) = x * y. [hyper(34,a,5084,a(flip),b,6783,a),flip(a)]. 6796 a(x,y,L(z,y,x)) \ (y * z) = y * L(z,y,x). [hyper(6171,a,6795,a)]. 6797 a(x,y,z) * (y * z) = (y * z) * a(x,y,z). [para(6795(a,1),93(a,1,2))]. 6798 T(x,a(L(y,z,u),z,u)) = T(x,(z * y) \ (z * L(y,z,u))). [hyper(6178,a,6791,a),flip(a)]. 6799 T(T(x,y),a(y,z,u)) = T(x,L(y,z / u,u)). [hyper(5016,a,6794,a)]. 6800 a(x,y,K(z \ u,z)) != w | a(u,y,K(z,x)) = w. [para(1688(a,2),6684(a,1,3))]. 6802 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(4966(a,1),6684(a,1))]. 6803 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(6693(a,2),6684(a,1))]. 6805 a(x,y \ z,K(u,y)) != w | a(u,z,K(y,x)) = w. [para(6777(a,2),6684(a,1))]. 6806 (x \ 1) \ (a(x \ 1,x \ 1,y) \ 1) != z | a(x \ 1,x \ 1,y) \ x = z. [para(6160(a,2),6741(a,1))]. 6807 a(x,x,L(y,z,y * x) \ 1) != u | a(x,x,y \ 1) = u. [para(6601(a,2),6765(a,1))]. 6808 L(a(x,x,y \ 1),z,u) != w | a(x,x,L(y,z,u) \ 1) = w. [para(6611(a,1),6765(a,1))]. 6809 a(x,x,((y * x) \ z) \ 1) != u | a(x,x,((x * y) \ z) \ 1) = u. [para(6607(a,1),6765(a,1))]. 6810 a(x,x,L(y \ z,x,y) \ 1) != u | a(x,x,((y * x) \ z) \ 1) = u. [para(6608(a,2),6765(a,1))]. 6811 a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. [para(2039(a,1),6775(a,1,3))]. 6814 a(L(x,x * y,z),u,K(w,v5)) != v6 | a(L(x,y,z),u,K(w,v5)) = v6. [para(6465(a,2),6803(a,1))]. 6816 x \ L(x,y \ x,y) = a(y,x \ y,x). [hyper(57,a,6220,a(flip),b,6681,a)]. 6817 a(x,(x * y) \ x,x * y) = (x * y) \ L(x * y,y,x). [para(4(a,1),6816(a,1,2,2)),flip(a)]. 6818 x \ L(x,(y * x) \ x,y * x) = a(y * x,T(y,x),x). [para(17(a,2),6816(a,2,2))]. 6819 (x \ 1) \ L(x \ 1,(x / y) \ 1,y \ 1) = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). [para(5605(a,1),6816(a,1,2,2))]. 6820 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(3713(a,1),6702(a,2,3)),flip(a)]. 6821 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(3736(a,1),6702(a,2,3))]. 6822 (T(x,y) * K(z,u)) * a(u,y,K(z,y \ x)) = (y \ x) * (y * K(z,u)). [hyper(57,a,690,a(flip),b,6704,a),flip(a)]. 6823 x \ (L(y,a(z,u,K(w,v5)),x) * (x * a(z,u,K(w,v5)))) = a(v5,u,K(w,z)) \ T(y,x * a(z,u,K(w,v5))). [hyper(230,a,358,a,b,6705,a)]. 6824 R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = L(a(u,y,K(z,x)) * 1,w,v5) \ 1. [para(6705(a,1),5715(a,2,1,1))]. 6825 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). [para(1698(a,1),6709(a,1,2,3))]. 6826 K(x,y) * a(x,z,K(y,u \ w)) = K(x,L(y,z,w \ u)). [para(2039(a,1),6709(a,1,2,3))]. 6827 K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(x,L(K(y,z),u,w \ 1)). [para(3727(a,1),6709(a,1,2,3))]. 6828 K(x,K(y,z)) * a(K(z,x),u,K(w,y)) = K(K(z,x),L(y,u,w)). [para(3735(a,1),6709(a,1,1))]. 6829 K(x,L(y,z,u \ 1)) * a(x,w,K(u,y)) = K(x,L(L(y,z,u \ 1),w,u)). [para(4382(a,1),6709(a,1,2,3))]. 6830 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(u,w,v5))). [para(4865(a,2),6709(a,1,2,3))]. 6831 K(x,L(y,z,a(u,w,w))) = K(x,y) * a(x,z,1). [para(4870(a,1),6709(a,1,2,3)),flip(a)]. 6832 K(x,L(y,z,y \ ((u \ y) * w))) = K(x,y) * a(x,z,K(u \ w,y)). [para(5133(a,1),6709(a,1,2,3)),flip(a)]. 6833 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,y \ z,u)). [hyper(230,a,4577,a,b,6710,a),flip(a)]. 6835 K(x,L(y,z,u \ (u / w))) = K(x,y) * a(y,z,K(w,x)). [para(2048(a,1),6710(a,1,2,3)),flip(a)]. 6836 a(x,y,K(z,u)) * K(x,L(z,y,u)) = K(x,z). [hyper(4504,a,6711,a)]. 6837 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(230,a,4572,a,b,6711,a),flip(a)]. 6838 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(230,a,4622,a(flip),b,6711,a),flip(a)]. 6839 a(K(x,y),z,K(u,w)) * K(u,K(x,y)) = K(x,K(y,L(u,z,w))). [hyper(230,a,4622,a(flip),b,6712,a),flip(a)]. 6840 a(x,y,K(z,u \ (z \ w))) * K(z,x) = K(z,L(x,y,(z * u) \ w)). [para(3109(a,1),6712(a,1,1,3))]. 6842 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,x * u)). [para(6779(a,1),6712(a,1,1))]. 6843 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(6079,a,6748,a)]. 6844 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(230,a,4866,a,b,6843,a)]. 6845 R(K(x,y),z,u) = K(L(x,z,u),y). [hyper(230,a,4625,a(flip),b,6843,a),flip(a)]. 6846 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(230,a,4572,a(flip),b,6843,a),flip(a)]. 6847 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(57,a,4103,a(flip),b,6843,a),flip(a)]. 6848 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(57,a,6450,a(flip),b,6845,a)]. 6849 K(x,L(y / z,y,u)) = K(x,(y * u) / (z * u)). [hyper(3374,a,6846,a),flip(a)]. 6850 ((x * K(y,z)) * u) / (x * u) = K(y,L(T(z,x),x,u)). [hyper(57,a,3864,a,b,6846,a)]. 6851 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(57,a,6452,a(flip),b,6846,a)]. 6852 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(57,a,6450,a(flip),b,6846,a)]. 6853 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). [hyper(57,a,5739,a(flip),b,6846,a),flip(a)]. 6854 K(x / (y / z),L(u,x,z)) = K((x * z) / y,u). [hyper(57,a,4103,a(flip),b,6846,a),flip(a)]. 6855 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(57,a,3389,a(flip),b,6846,a),flip(a)]. 6856 K(x,L((y / z) / u,y / z,z)) = K(x,y / (u * z)). [hyper(57,a,3375,a(flip),b,6846,a),flip(a)]. 6857 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(6846(a,1),89(a,1,1))]. 6858 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(6846(a,1),2647(a,1,1))]. 6859 R(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(6690(a,2),6846(a,1,1))]. 6860 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(6848(a,1),4087(a,1,1))]. 6861 K(x,R(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(230,a,4397,a(flip),b,6851,a),flip(a)]. 6862 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(230,a,1589,a(flip),b,6851,a)]. 6863 K(x * y,L(T(T(z,x * y),u),x,y)) = K(x * y,T((z * x) * y,u)). [hyper(57,a,4200,a(flip),b,6851,a),flip(a)]. 6864 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(90(a,1),6851(a,1,2)),flip(a)]. 6865 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(225(a,1),6851(a,1,2)),flip(a)]. 6866 K((x * y) * z,K(u,L(T(x,y * z),y,z))) = K((x * y) * z,K(y * z,u)). [para(6851(a,1),3820(a,1,2))]. 6867 T(x,R(y,z,u)) = T(x,L(y,z,u)). [hyper(32,a,1589,a(flip),b,6862,a)]. 6868 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(6862(a,1),1634(a,1))]. 6869 T((x * y) * z,L(T(x,y * z),y,z)) = (y * z) * R(x,y,z). [hyper(57,a,1223,a(flip),b,6867,a),flip(a)]. 6870 T(x,L(y / (z / u),z / u,u)) = T(x,(y * u) / z). [para(319(a,1),6867(a,1,2)),flip(a)]. 6871 K(x,T(y,L(z,u,w)) * R(z,u,w)) != v5 | K(x,R(z,u,w) * y) = v5. [para(6867(a,1),5022(a,1,2,1))]. 6872 T(x,L(y,z \ 1,u \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. [para(6867(a,1),5718(a,1,1))]. 6873 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(57,a,6703,a,b,6751,a)]. 6874 a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(w,v5,K(u \ v5,T(T(x,z),y))). [para(2464(a,1),6776(a,1,3)),flip(a)]. 6875 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(230,a,6714,a(flip),b,6778,a),flip(a)]. 6876 T(x \ ((x * y) * z),y * z) = (y * z) * a(x,y,z). [hyper(6153,a,6797,a)]. 6877 K(x,a(y,z,x) * z) * ((z * x) * a(y,z,x)) = L(x,z,a(y,z,x)) * (a(y,z,x) * z). [para(6797(a,1),5217(a,1,2))]. 6878 ((x \ 1) * y) * ((((x \ 1) * y) * a(x,x \ 1,y)) \ 1) = a(y,x,x \ 1). [para(6797(a,1),6315(a,1,2,1))]. 6879 T(x,L(y,z / u,u)) = T(x,L(y,z,u)). [hyper(57,a,6794,a(flip),b,6799,a),flip(a)]. 6880 T(x,L(y,z \ u,z)) = T(x,L(y,u,z)). [para(2807(a,1),6879(a,1,2))]. 6881 K(x,L(y,z \ u,z)) = x \ T(x,L(y,u,z)). [para(6880(a,1),1589(a,2,2))]. 6882 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(230,a,5500,a(flip),b,6820,a),flip(a)]. 6883 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(230,a,4650,a,b,6821,a)]. 6884 L(K(x,y),z,u) / K(x,y) = a(x,z,K(u,y)). [hyper(105,a,6837,a)]. 6886 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(6837(a,2),4687(a,1))]. 6887 (K(x,y) / z) * K(u,L(w,z,K(x,y) \ 1)) = K(x,y) * ((z \ 1) * K(u,w)). [para(6853(a,1),4760(a,1,2))]. 6888 T(x,y \ 1) * K(z,L(u,y,((y \ 1) \ x) \ 1)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). [para(6853(a,1),5586(a,1,2))]. 6889 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(230,a,1589,a,b,6881,a),flip(a)]. 6890 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(6881(a,2),1634(a,1))]. 6891 K(x,L(y,z * u,z)) = K(x,L(y,u,z)). [para(4(a,1),6889(a,1,2,2)),flip(a)]. 6892 K(x,L(y,T((z \ 1) * u,z),z \ 1)) = K(x,L(y,(z \ u) * z,z \ 1)). [para(1002(a,1),6889(a,1,2,2)),flip(a)]. 6893 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [para(2810(a,1),6889(a,1,2)),flip(a)]. 6894 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(2811(a,1),6889(a,1,2)),flip(a)]. 6895 K(x \ (y \ z),K(u,L(w,z,y))) = K(u,K(w,(y * x) \ z)). [para(6889(a,1),4427(a,1,2))]. 6896 x * K(y,L(z,x,u)) = u * ((u \ x) * K(y,z)). [para(6889(a,1),4588(a,1,2))]. 6897 T(x,y \ 1) * K(z,L(u,x,y)) = y * ((x / y) * K(z,u)). [para(6889(a,1),4723(a,1,2))]. 6898 K(x,L(y,z,z \ y)) = K(x,y). [hyper(57,a,4584,a(flip),b,6894,a),flip(a)]. 6899 K(x,L(y \ z,u,y \ u)) = K(x,u \ ((u / y) * z)). [para(2844(a,1),6894(a,2,2))]. 6900 (x / y) * (y * K(z,u)) = x * K(z,L(u,x,y \ x)). [para(6894(a,2),4591(a,1,2)),flip(a)]. 6902 a(x \ 1,x \ 1,y) != z | a(x,x,y) = z. [para(6582(a,1),6770(a,1))]. 6904 a(x,x \ y,y \ (x * z)) \ ((x \ y) * ((x \ y) \ z)) = (x \ y) * L((x \ y) \ z,x \ y,x). [para(298(a,1),6796(a,1,1,3))]. 6905 a(x,L(x,y,z),L(u,x,L(x,y,z))) \ (x * u) = x * L(u,x,L(x,y,z)). [para(1423(a,1),6796(a,1,1))]. 6906 a(x * y,z,a(z,x,y)) \ (z * (z \ R(z,x,y))) = z * L(z \ R(z,x,y),z,x * y). [para(6060(a,2),6796(a,1,1,3))]. 6907 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(6683(a,2),6805(a,1))]. 6908 K(x,L(y,z,a(u,w,w))) = K(x,y) * 1. [para(2522(a,1),6831(a,2,2))]. 6909 K(x,L(y,z,a(u,w,w))) = K(x,y). [hyper(230,a,3,a(flip),b,6908,a),flip(a)]. 6911 T(x,L(y,z,a(u,w,w))) = x * K(x,y). [para(6909(a,1),1592(a,2,2))]. 6912 T(x,L(y,z,a(u,w,w))) = T(x,y). [hyper(230,a,1592,a,b,6911,a),flip(a)]. 6913 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(57,a,1981,a(flip),b,6847,a)]. 6914 K(x,L(y * z,y,u)) = K(x,(y * u) / ((z \ 1) * u)). [hyper(57,a,5002,a(flip),b,6849,a)]. 6915 K(x,L(y / z,y,u)) * (z * u) = (z * u) * K(x,(z * u) \ (y * u)). [para(6849(a,2),1991(a,1,1))]. 6916 K((x * y) / (z * y),u) = K(x / z,L(u,x,y)). [para(6(a,1),6854(a,1,1,2)),flip(a)]. 6917 K(L(x,y,z),u) * ((K(u,x) * y) * z) = y * z. [hyper(2140,a,6857,a)]. 6918 (K(x,T(y,z * u)) * z) * u = u * (T(z,u) * K(x,y)). [hyper(57,a,4682,a(flip),b,6857,a),flip(a)]. 6919 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(2770(a,1),6857(a,1,1,2)),flip(a)]. 6920 K(x,L(y / z,y,u)) * (z * u) = (K(x,y / z) * z) * u. [para(4579(a,1),6857(a,1,1))]. 6921 K(x,K(y,L(z,u,w))) * (u * w) = (K(z,K(x,y)) * u) * w. [para(4622(a,1),6857(a,1,1))]. 6922 K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). [para(367(a,1),6861(a,1,2))]. 6923 K(x,(y * (z \ u)) / (z * (z \ u))) = K(x,L(y / z,u,z \ u)). [hyper(57,a,6894,a,b,6864,a),flip(a)]. 6924 K(x,T((y * z) \ u,z)) = K(x,((y \ u) * y) / (z * y)). [hyper(57,a,3925,a(flip),b,6864,a)]. 6925 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(6865(a,1),4458(a,2,2))]. 6926 K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z \ u)) = w. [para(2811(a,1),6890(a,1,2))]. 6927 x \ (y * K(z,L(u,y,x))) = (x \ y) * K(z,u). [hyper(101,a,6896,a(flip))]. 6928 K((x * (x \ y)) / (z * (x \ y)),y) = K(x / z,y). [hyper(230,a,6898,a(flip),b,6916,a),flip(a)]. 6929 K(L(x,y,z),T(u,y)) * ((y * K(u,x)) * z) = y * z. [para(3897(a,1),6917(a,1,2,1))]. 6930 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(6074,a,6719,a)]. 6931 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(28,a,6710,a,b,6833,a)]. 6932 K(x,L(y,z,y * u)) = K(x,L(y,z,u)). [hyper(57,a,6712,a(flip),b,6842,a),flip(a)]. 6933 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [para(5(a,1),6932(a,1,2,3)),flip(a)]. 6934 K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). [para(6933(a,1),2131(a,1,2,1)),flip(a)]. 6935 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(4865(a,2),6844(a,2,1))]. 6936 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1994(a,2),6919(a,1,1))]. 6937 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [para(6919(a,1),4078(a,1,1))]. 6938 K(x / (y * (z \ x)),x) = K(z / y,x). [para(5(a,1),6928(a,1,1,1))]. 6939 K((x * (y \ z)) \ z,z) = K(y / x,z). [hyper(4858,a,6938,a)]. 6941 K((x \ y) \ (z \ y),y) = K(x / z,y). [hyper(57,a,5232,a(flip),b,6939,a)]. 6942 K(x \ (y * (z \ x)),x) = K(y / z,x). [hyper(57,a,5138,a(flip),b,6941,a)]. 6943 K((x \ y) / z,y) = K(x \ (z \ y),y). [hyper(5134,a,6942,a),flip(a)]. 6944 K(x / (y / z),y) = K(y \ (x * z),y). [para(72(a,1),6942(a,1,1,2,2)),flip(a)]. 6945 K(x \ ((y \ 1) \ z),z) = K((x \ z) * y,z). [hyper(57,a,4808,a(flip),b,6943,a),flip(a)]. 6946 (x * ((x * K(y \ (z * u),y)) / x)) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). [para(6944(a,1),3335(a,1,1,2,1,2))]. 6947 K(((x \ 1) \ y) * z,y) = K(x * ((z \ 1) \ y),y). [hyper(57,a,4766,a(flip),b,6945,a),flip(a)]. 6948 K(L(x,y,x \ z),u) = K(L(x,y,z),u). [hyper(230,a,2131,a(flip),b,6934,a),flip(a)]. 6949 K(L(x,y,x \ z),u) = K(x,L(u,y,z)). [hyper(230,a,4624,a(flip),b,6948,a),flip(a)]. 6950 K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). [hyper(4692,a,6949,a)]. 6951 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(230,a,6859,a(flip),b,6935,a),flip(a)]. 6952 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(6936(a,1),813(a,2,2,1))]. 6953 K(x * ((y \ 1) \ z),z) = K(z * ((x \ 1) \ y),z). [hyper(57,a,5144,a(flip),b,6947,a),flip(a)]. 6954 a(x,y,K(z,L(u,x,w))) = K(x,a(u,y,z)). [hyper(230,a,3170,a(flip),b,6951,a),flip(a)]. 6955 a(x,y,K(z,L(u,x,w))) != v5 | a(x,y,K(z,u)) = v5. [para(6954(a,2),6802(a,1))]. 6956 K(x * ((y \ 1) \ z),z) = K(x * (z * y),z). [hyper(230,a,4793,a(flip),b,6953,a),flip(a)]. 6957 a(x,x,L(y / z,u,w)) != v5 | a(x,x,L(z \ y,u,w)) = v5. [para(742(a,1),6759(a,1,3,1))]. 6958 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(6890,a,6855,a)]. 6959 K(x,L(y / z,u,y \ u)) = K(x,u / (z * (y \ u))). [para(69(a,1),6958(a,1,2,1,1))]. 6960 K(x,T(L(y,z / u,u),z / u)) = K(x,z / (((z / u) / y) * u)). [hyper(57,a,3934,a(flip),b,6856,a)]. 6961 K(L(x,y,K(z,T(u,T(x,w) * y))),w) * ((x * y) * K(z,T(u,T(x,w) * y))) = K(z,u) * (T(x,w) * y). [hyper(230,a,1979,a(flip),b,6860,a),flip(a)]. 6962 K(L(x,K(y,T(z,x)),u),w) * ((K(y,z) * x) * u) = (T(x,w) * K(y,T(z,x))) * u. [para(1979(a,1),6860(a,1,2,1))]. 6963 T(x,(y * x) / z) = T(x,y / (z / x)). [hyper(3114,a,6870,a),flip(a)]. 6964 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(230,a,3503,a(flip),b,6963,a),flip(a)]. 6965 x / (y \ T(x,z / (x \ u))) = K(u \ (z * x),T(x,z)) * y. [para(6964(a,1),4917(a,1,2,2))]. 6966 T(a(x,y,z),x \ ((x * y) * z)) = a(x,y,z). [hyper(6258,a,6876,a)]. 6967 T(a(x,y,z),x \ ((x * y) * z)) = (y * z) \ (x \ ((x * y) * z)). [hyper(230,a,6131,a(flip),b,6966,a),flip(a)]. 6968 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(6683(a,1),6886(a,1,1))]. 6969 x * K(y,L(T(z,u),x,u \ x)) = (x / u) * (K(y,z) * u). [para(1979(a,1),6900(a,1,2)),flip(a)]. 6970 a(x,y,K(y * z,u)) * K(x,(y * u) / ((z \ 1) * u)) = K(x,y * z). [para(6914(a,1),6836(a,1,2))]. 6972 K(x,L(T(y,z),z,u)) * ((z * K(y,x)) * u) = z * u. [para(4624(a,1),6929(a,1,1))]. 6973 K(x,y / (T(z,u) * (u \ y))) = K(x,L(z \ u,y,u \ y)). [hyper(57,a,4680,a(flip),b,6959,a),flip(a)]. 6974 K(x,L(T(y,z),z,(z * K(y,x)) \ u)) * u = z * ((z * K(y,x)) \ u). [hyper(242,a,6972,a)]. 6975 K(x,T((y * K(z,x)) * u,w)) = K(x,T(y * u,w)). [para(6972(a,1),3557(a,1,2,1)),flip(a)]. 6976 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(6972(a,1),4407(a,1,2,2)),flip(a)]. 6977 K(x,T((T(x,y) \ z) * u,w)) = K(x,T((x \ z) * u,w)). [para(2551(a,1),6975(a,1,2,1,1))]. 6978 K(x,y \ ((z / ((u \ 1) \ 1)) * w)) = K(x,y \ ((z / u) * w)). [para(2686(a,1),6976(a,1,2,2,1))]. 6979 K(x,L(y,z,a(u,u,w))) = K(x,y). [hyper(4658,a,6752,a)]. 6980 T(x,a(L(y,z,u),w,v5)) = T(x,a(y,w,L(v5,z,u))). [hyper(6716,a,6786,a)]. 6981 a(x,(x * y) \ x,x * y) = a(x,y,x * y) \ 1. [hyper(230,a,5915,a(flip),b,6817,a),flip(a)]. 6982 a(x,x \ (x / y),x * y) = a(x,y,x * y) \ 1. [para(2280(a,1),6981(a,1,2))]. 6983 a(x,x \ (y \ x),x * y) = a(x,y,x * y) \ 1. [hyper(57,a,6211,a(flip),b,6982,a)]. 6984 x \ L(x,x \ (y \ x),y * x) = a(y * x,T(y,x),x). [para(2316(a,1),6818(a,1,2,2))]. 6985 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(57,a,6825,a(flip),b,6826,a)]. 6986 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [para(4(a,1),6985(a,1,2,3,1)),flip(a)]. 6987 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,(z * u) \ z)). [hyper(6926,a,6986,a),flip(a)]. 6988 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * ((y * z) \ y))). [hyper(57,a,6959,a(flip),b,6986,a),flip(a)]. 6989 K(x,L(y \ (((z * u) \ z) \ w),y,u \ 1)) = K(x,(((z * u) \ z) * y) \ w). [para(222(a,1),6986(a,1,2)),flip(a)]. 6990 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(3753(a,1),6882(a,2,3))]. 6991 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(191,a,6918,a(flip))]. 6992 T(x,(K(y,T(z,u * (w \ a(v5,v6,v5)))) * u) * (w \ a(v5,v6,v5))) = T(x,w \ (T(u,w \ a(v5,v6,v5)) * K(y,z))). [para(6918(a,2),4822(a,1,2))]. 6993 K(x,T(y,z \ (T(u,z \ 1) * K(w,v5))) * ((z \ 1) * (T(u,z \ 1) * K(w,v5)))) = K(x,((K(w,T(v5,u * (z \ 1))) * u) * (z \ 1)) * y). [para(6918(a,2),4826(a,2,2,1))]. 6994 T(K(x,T(y,z)) * (z / u),u) = T(z / u,u) * K(x,y). [para(7(a,1),6991(a,1,1,1,2,2))]. 6995 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [para(3865(a,1),6991(a,1,1,1)),flip(a)]. 6996 K(x,y) * K(z,T(u,x * y)) = x \ T(K(z,u) * x,y). [para(6995(a,1),1773(a,1,2)),flip(a)]. 6997 K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / ((z * y) \ y)))) = K(x,T(u / ((z * y) * ((z * y) \ y)),z * y)). [para(2027(a,1),6922(a,2,2,1)),flip(a)]. 6998 K(x,T((y * z) \ u,z)) = K(x,T(u,y) / (z * y)). [hyper(230,a,2459,a(flip),b,6924,a),flip(a)]. 6999 K(x,T(y,(z * u) \ u) / (T(u * z,z \ 1) * ((z * u) \ u))) = K(x,T(T(u,z) \ y,T(u * z,z \ 1))). [para(2189(a,1),6998(a,1,2,1,1)),flip(a)]. 7000 K(T(x,y),z * (T(x,y) \ u)) = K(x,T((x \ z) * u,y)). [hyper(57,a,5478,a,b,6977,a)]. 7001 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). [hyper(230,a,6986,a(flip),b,6987,a),flip(a)]. 7003 K(((x * y) * (y \ 1)) / (z * (y \ 1)),u) = K((x * y) / z,L(u,x,y \ 1)). [hyper(57,a,6916,a,b,7001,a)]. 7004 T(K(x,T(y,z)) * (z / u),u) = (u \ z) * K(x,y). [para(95(a,1),6994(a,2,1))]. 7005 (x * ((x \ y) * K(z,u))) / x = K(z,T(u,y)) * (y / x). [hyper(211,a,7004,a)]. 7006 K(x,T(y * (T(x,z) \ u),z)) = K(x,T((x \ y) * u,z)). [hyper(2416,a,7000,a)]. 7008 (x * K(y,L(z,x,u))) / u = K(y,T(z,x)) * (x / u). [para(6896(a,2),7005(a,1,1))]. 7009 (K(x,L(y,z,u)) * z) / u = K(x,T(T(y,z),z)) * (z / u). [para(1988(a,1),7008(a,1,1))]. 7010 K(x,T((x \ y) * z,u)) = K(x,T(y * (x \ z),u)). [hyper(3692,a,7006,a),flip(a)]. 7011 x / (K(y,T(z * (y \ u),w)) * x) = K(T((y \ z) * u,w),y). [para(7010(a,1),2131(a,1,2,1))]. 7012 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,z,K(y,x)). [hyper(230,a,6695,a(flip),b,6731,a),flip(a)]. 7013 K(x,(y \ (z * u)) / T((y \ z) * u,((y \ z) * u) \ (y \ (z * u)))) = a(u,z,K(y,x)). [para(208(a,2),7012(a,1,2))]. 7014 T(x,((y \ z) * u) \ (y \ (z * u))) = x * a(u,z,K(y,x)). [para(7012(a,1),1592(a,2,2))]. 7015 K(x,y) * (z * T(u,a(x,z,y))) = (K(x,y) * z) * u. [para(6719(a,1),6749(a,1,2))]. 7016 L(T(x,a(y,z,u)),z,K(y,u)) = x. [hyper(292,a,7015,a(flip))]. 7017 (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). [para(6792(a,1),7015(a,1,2,2)),flip(a)]. 7018 L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. [para(7016(a,1),189(a,1,2)),flip(a)]. 7019 L(x,y,K(z,u)) = T(x,a(u,y,z)). [para(6792(a,1),7016(a,1,1))]. 7020 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(230,a,6930,a,b,7019,a)]. 7021 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(230,a,6714,a,b,7019,a)]. 7022 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(230,a,6713,a,b,7019,a)]. 7023 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(230,a,4968,a,b,7019,a)]. 7024 L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). [hyper(230,a,6875,a(flip),b,7019,a),flip(a)]. 7025 L(x * y,x,K(y,z)) = x * y. [hyper(230,a,6795,a(flip),b,7019,a),flip(a)]. 7026 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(230,a,6794,a(flip),b,7019,a),flip(a)]. 7027 L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. [hyper(230,a,95,a(flip),b,7019,a),flip(a)]. 7028 (x * y) * a(z,u,K(y,w)) = x * L(y,u,K(w,z)). [para(7019(a,2),4973(a,2,2))]. 7029 a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). [para(7019(a,2),5784(a,1,1))]. 7030 a(x,x,L(y,z,K(u,w))) = a(x,x,y). [para(7019(a,2),6593(a,1,3))]. 7031 L(L(x,y,K(z,u)),y,K(u,z)) = x. [para(7019(a,2),7016(a,1,1))]. 7032 R(x * (K(y,z) \ u),x \ 1,K(y,z)) = L((K(y,z) * (x \ 1)) \ u,x,x \ 1). [hyper(230,a,1151,a,b,7020,a),flip(a)]. 7033 R(x,y,K(z,z * u)) = L(x,y,K(z,u)). [hyper(57,a,1876,a,b,7020,a)]. 7034 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(7020(a,1),89(a,1,1))]. 7035 R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). [para(4865(a,2),7020(a,1,3))]. 7036 L(x,y,K(z,u)) != w | L(w,y,K(u,z)) = x. [para(7031(a,1),44(a,1)),flip(a)]. 7038 x \ L(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(101,a,7023,a)]. 7039 x * K(L(x,y,z) \ x,u) = L(x,y,K(u,z)). [para(4726(a,2),7023(a,1,2))]. 7040 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(230,a,7019,a,b,7024,a),flip(a)]. 7041 T(T(x,y \ 1),L(y,z,u)) = L(x,z,K(u,y)). [para(1027(a,1),7026(a,1,1)),flip(a)]. 7042 x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. [para(7038(a,1),203(a,1,2))]. 7043 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(4(a,1),7040(a,1,2)),flip(a)]. 7044 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(3001,a,7043,a),flip(a)]. 7045 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(7043(a,1),3001(a,1))]. 7046 L(L(x,y,T(z,u)),y,K(u,z)) = L(x,y,z). [hyper(7036,a,7044,a)]. 7047 L(x,y,T(y,z)) = L(x,y,y). [hyper(1627,a,7044,a),flip(a)]. 7048 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [hyper(57,a,25,a,b,7044,a)]. 7049 L(x,y,T(z,u)) != L(w,y,K(z,u)) | L(x,y,z) = w. [para(7044(a,1),44(a,1))]. 7050 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(7044(a,1),1704(a,1))]. 7051 L(x,y,y \ (z * y)) != u | L(x,y,z) = u. [para(17(a,1),7050(a,1,3))]. 7052 L(x,y,R(T(z,y),u,w)) != v5 | L(x,y,R(z,u,w)) = v5. [para(22(a,2),7050(a,1,3))]. 7053 a(x,y,K(L(z,y,T(x,u)),u)) = L(z,y,T(x,u)) \ L(z,y,x). [para(7046(a,1),7038(a,1,2)),flip(a)]. 7054 L(x,x \ 1,T(y,z)) = L(x,x \ 1,y). [para(4749(a,1),7048(a,1,1)),flip(a)]. 7055 L(x,x,T(y,z)) = L(x,x,y). [para(6468(a,1),7048(a,1,1)),flip(a)]. 7056 L(x,x,y * z) = L(x,x,z * y). [para(589(a,1),7055(a,1,3))]. 7057 L(x,x,(y / z) \ 1) = L(x,x,(z \ y) \ 1). [para(1851(a,1),7055(a,1,3)),flip(a)]. 7058 L(x,x,(y * z) * L(z,u,w)) = L(x,x,z * (y * L(z,u,w))). [para(1352(a,1),7056(a,1,3))]. 7059 L(L(x,x \ 1,y),z,u) \ L(x,x \ 1,T(y,w)) = L(L(x,z,u) \ x,x \ 1,T(y,w)). [para(7054(a,1),5902(a,1,1,1))]. 7060 L(x,y,z) * T(L(x,y,z) \ x,u) = L(x,y,K(u,z)). [hyper(2107,a,7039,a)]. 7061 T(T(x * y,z \ 1),L(z,x,y)) = x * y. [hyper(230,a,7025,a(flip),b,7041,a),flip(a)]. 7062 T(x \ (T(y,z \ 1) \ x),L(z,u,w)) = x \ (L(y,u,K(w,z)) \ x). [para(7041(a,1),2601(a,2,2,1))]. 7063 T(T(x * y,z \ 1),L(z,x,y)) = R(u,x,y) \ ((u * x) * y). [hyper(230,a,148,a,b,7061,a),flip(a)]. 7064 a(x,y,z) * (y \ x) = (y \ x) * a(x,y,z). [para(5064(a,1),7018(a,1,1)),flip(a)]. 7065 a((K(x,y) * z) \ u,w,w \ 1) = a(z \ (K(y,x) * u),w,w \ 1). [para(2143(a,1),7029(a,1,1))]. 7066 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(4968(a,1),7042(a,1))]. 7068 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(6930(a,2),7066(a,1))]. 7069 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). [hyper(230,a,81,a(flip),b,7028,a),flip(a)]. 7070 R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). [para(4865(a,2),7035(a,2,3))]. 7071 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(1979(a,1),7034(a,1,2))]. 7072 (x * x) * K(y,z) = x * (x * K(y,z)). [para(6468(a,1),7034(a,1,1)),flip(a)]. 7073 K(x,L(y,z,z)) = K(x,y). [hyper(4658,a,7072,a)]. 7074 (x * (x * K(y,z))) / T(x * x,K(y,z)) = K(y,z). [para(7072(a,1),152(a,1,1))]. 7075 ((x * K(y,z)) * T(x,x * K(y,z))) / T(x * x,K(y,z)) = K(y,z). [para(93(a,2),7074(a,1,1))]. 7077 L(x,y,z) \ L(x,y,K(u,z)) = T(L(x,y,z) \ x,u). [hyper(101,a,7060,a)]. 7078 L(x * L(x \ 1,x,y),z,u) = a(x,x,L(y \ 1,(z \ 1) \ 1,u)). [hyper(6773,a,6626,a),flip(a)]. 7079 a(x,x,L(y,z \ 1,u \ 1)) = R(a(x,x,y),z,u). [hyper(6773,a,5755,a)]. 7080 T(x,a(y,z,L(u,z,u))) = T(x,(z * y) \ (z * L(y,z,u))). [hyper(57,a,6980,a(flip),b,6798,a)]. 7081 K(x,L(y / z,y,u)) * (z * u) = (z * K(x,z \ y)) * u. [para(1991(a,1),6920(a,2,1))]. 7082 x * K(y,L(T(z,K(y,z) \ u),x,(K(y,z) \ u) \ x)) = (x / (K(y,z) \ u)) * u. [hyper(230,a,124,a(flip),b,6969,a),flip(a)]. 7083 (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). [para(3865(a,1),7009(a,2,1))]. 7084 K(x,y / (K(z,L(u,w,y)) * w)) = K(x,(K(z,u) * (w / y)) \ 1). [para(7083(a,1),2025(a,1,2,1)),flip(a)]. 7086 T(x,((y \ z) * u) \ (y \ (z * u))) = L(x,z,K(u,y)). [hyper(230,a,7022,a(flip),b,7014,a),flip(a)]. 7087 T(x,(y * z) \ (y * L(z,y,u))) = T(x,a(z,y,u)). [para(588(a,1),7080(a,1,2,3)),flip(a)]. 7089 a(x,x,R(y,x,z)) != u | a(x,x,(x * z) \ (y * z)) = u. [para(6577(a,1),6766(a,1))]. 7090 K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(K(z,x),L(y,u,w)). [para(6461(a,1),6828(a,1,2))]. 7091 K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,y) * a(x,z,a(u,w,K(w \ v5,y))). [para(5116(a,2),6830(a,2,2,3)),flip(a)]. 7092 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(3738(a,1),6838(a,1,1,3))]. 7093 K(x,K(y,L(z,u * w,w))) = a(K(x,y),u,K(z,w)) * K(z,K(x,y)). [para(6692(a,1),6838(a,1,1)),flip(a)]. 7094 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(3753(a,1),6883(a,1,2))]. 7095 K(x \ (y * z),T(z,y)) * u = K(y / (z \ x),z) * u. [hyper(4918,a,6965,a),flip(a)]. 7096 K((x * y) / z,y) * u = K(x / (y \ z),y) * u. [para(3910(a,1),7095(a,1,1))]. 7097 K((x * y) / z,y) = K(x / (y \ z),y). [hyper(38,a,7096,a)]. 7098 K((x * y) / z,y) = K((z / x) \ y,y). [hyper(230,a,4718,a(flip),b,7097,a),flip(a)]. 7099 K((x * y) / z,y) = K(y * (x / z),y). [hyper(230,a,3683,a(flip),b,7098,a),flip(a)]. 7100 K(x,y \ ((z / (T(u \ 1,K(u,w)) \ 1)) * v5)) = K(x,y \ ((z / u) * v5)). [para(1706(a,2),6978(a,1,2,2,1,2,1))]. 7101 K(T((x \ y) * z,u),x) = K(T(y * (x \ z),u),x). [hyper(2141,a,7011,a),flip(a)]. 7102 K(T((x \ y) * z,u),x) = K(y * (x \ z),T(x,u)). [hyper(230,a,2226,a(flip),b,7101,a),flip(a)]. 7103 K((x \ y) * z,T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(2416,a,7102,a)]. 7104 a(x,y,K(z,L(u,y,T(x,u)))) = L(z,y,T(x,u)) \ L(z,y,x). [para(4624(a,1),7053(a,1,3))]. 7105 L(x,x,L(y,z,u) * (w * y)) = L(x,x,y * (w * L(y,z,u))). [hyper(57,a,7056,a,b,7058,a)]. 7106 T(T(x * y,z \ 1),R(z,x,y)) = R(u,x,y) \ ((u * x) * y). [hyper(57,a,6867,a,b,7063,a)]. 7107 K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(z,K(x,L(y,u,w))). [hyper(230,a,3711,a(flip),b,7090,a),flip(a)]. 7109 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = K(z,K(w,L(x,y,u))). [hyper(57,a,3769,a,b,7092,a)]. 7110 L(x,y,T(z,u)) \ L(x,y,z) = a(z,y,K(x,L(u,y,z))). [para(3429(a,1),7104(a,1,3,2)),flip(a)]. 7111 L(x,y,T(z,u)) \ L(x,y,z) = a(z,y,K(x,u)). [hyper(230,a,6105,a(flip),b,7110,a),flip(a)]. 7113 a(x,y,K(z,u)) \ L(z,y,x) = L(z,y,T(x,u)). [para(7111(a,1),964(a,1,1))]. 7114 T(x * y,z \ 1) * R(z,x,y) = (z * x) * y. [hyper(111,a,7106,a)]. 7115 T(x * y,a(z,u,u) \ 1) * R(a(z,u,u),x,y) = (x * a(z,u,u)) * y. [para(4885(a,1),7114(a,2,1))]. 7116 T(x,(y * ((y \ z) * u)) \ (z * u)) = x * a(x,z,K(u,y)). [para(6777(a,1),6785(a,2,2))]. 7117 T(x,(y * ((y \ z) * u)) \ (z * u)) = T(x,a(y,z,u)). [hyper(230,a,6714,a(flip),b,7116,a),flip(a)]. 7118 T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). [para(77(a,1),7117(a,1,2))]. 7119 K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). [para(5(a,1),6923(a,1,2,2)),flip(a)]. 7120 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(4807(a,1),6925(a,1,2))]. 7121 T(x * y,z \ ((z * x) * y)) = x * y. [hyper(6283,a,6967,a)]. 7122 (x * y) / (z \ ((z * x) * y)) = (z \ ((z * x) * y)) \ (x * y). [para(7121(a,1),677(a,1,1))]. 7124 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(2841(a,1),7071(a,1,1))]. 7125 K(x,y) * ((z * u) * K(y,T(x,u))) = u * T(z,K(y,x) * u). [para(7124(a,1),2137(a,1,2))]. 7126 T((x * y) * K(z,K(u,y)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(57,a,4022,a,b,7125,a)]. 7127 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). [para(3731(a,1),7126(a,1,1))]. 7128 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(3763(a,1),7126(a,1,1))]. 7129 T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). [hyper(1792,a,7127,a)]. 7130 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,z) * x). [hyper(101,a,7127,a(flip))]. 7131 x \ T(y * T(x,K(z,u)),K(u,z)) != w | T(y,K(u,z) * x) = w. [para(7127(a,2),241(a,1,2))]. 7132 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [hyper(101,a,7128,a(flip))]. 7134 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(3796(a,1),7130(a,1,2))]. 7135 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(3796(a,1),7132(a,1,2))]. 7136 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(57,a,7132,a(flip),b,7134,a)]. 7137 ((K(x,y) * z) / K(x,y)) \ T(u * T((K(x,y) * z) / K(x,y),K(y,x)),K(y,x)) = T(u,T(K(x,y),z) * z). [para(813(a,2),7134(a,2,2))]. 7138 x / T(x,K(y,z) * u) = K(K(z,y) * u,x). [para(7136(a,1),1587(a,2,2)),flip(a)]. 7139 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [para(7136(a,1),1589(a,2,2)),flip(a)]. 7140 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(1649,a,7138,a)]. 7141 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(7138(a,1),1649(a,1))]. 7142 K(K(x,y) * z,T(u,z)) = K(z * K(y,x),u). [hyper(5356,a,7140,a),flip(a)]. 7143 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(1634,a,7139,a)]. 7144 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(7139(a,1),1634(a,1))]. 7146 K(x,K(y,z) * (K(y,z) * u)) = K(x,u). [para(2124(a,1),7143(a,1,2)),flip(a)]. 7147 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(2134(a,1),7143(a,1,2)),flip(a)]. 7148 K(x,y * (T(T(y,z),z) \ u)) = K(x,u). [para(2864(a,1),7146(a,1,2))]. 7149 K(x,T(T(y,z),z) * u) = K(x,y * u). [para(4(a,1),7148(a,1,2,2)),flip(a)]. 7150 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(95(a,1),7149(a,1,2,1,1))]. 7151 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(646(a,1),7149(a,1,2,1,1)),flip(a)]. 7152 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [para(695(a,1),7149(a,1,2,1,1))]. 7153 K(x * K(y,z),u) = K(x * K(z,y),u). [hyper(5356,a,7142,a)]. 7154 K((x * y) * K(z,y),u) = K(x * T(y,z),u). [para(2472(a,1),7153(a,1,1)),flip(a)]. 7155 K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). [para(4927(a,1),7153(a,1,1)),flip(a)]. 7156 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(2367(a,2),7147(a,1,2))]. 7157 K(x,(y * ((z \ y) / y)) * u) = K(x,(y / z) * u). [hyper(57,a,7151,a,b,7152,a)]. 7158 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [para(4953(a,2),7155(a,1,1))]. 7159 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [hyper(57,a,2742,a(flip),b,7156,a)]. 7160 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(57,a,2664,a(flip),b,7156,a),flip(a)]. 7161 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(1613(a,1),7158(a,1,1,2)),flip(a)]. 7162 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(7161(a,1),1781(a,1,2)),flip(a)]. 7163 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [hyper(57,a,2462,a(flip),b,7160,a)]. 7164 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(230,a,1781,a(flip),b,7162,a),flip(a)]. 7165 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(646(a,1),7164(a,1,2,2,1)),flip(a)]. 7166 K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). [hyper(57,a,6922,a,b,7165,a)]. 7167 K(x,K(y,y * z) * u) != w | K(x,K(z,y) * u) = w. [para(1647(a,2),7144(a,1,2,1))]. 7168 K(x,T(y / ((z / T(u,z)) * T(u,z)),z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). [para(991(a,1),7166(a,2,2,1))]. 7169 x \ T(y * T(x,K(z,L(u,w,v5))),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). [para(6846(a,2),7135(a,2,2,1))]. 7170 K(x,y * (z \ K(L(u,z,y),w))) = K(x,(K(w,u) * (z / y)) \ 1). [hyper(57,a,4803,a(flip),b,7084,a)]. 7172 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(7135(a,1),7131(a,1))]. 7173 ((x * y) * a(x,z,K(u,y))) \ (y * x) = K(y,x) * a(K(y,x),z,u). [para(6704(a,1),6725(a,1,1))]. 7174 K(x,L(K(y,z),u,w \ 1)) = K(z,K(x,L(y,u,w))). [hyper(57,a,7107,a(flip),b,6827,a),flip(a)]. 7175 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(4405,a,7174,a)]. 7176 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(72(a,1),7175(a,1,2,2,3)),flip(a)]. 7177 K(x,L(y,z,y \ ((u \ y) * w))) = K(x,L(y,z,u \ w)). [hyper(230,a,6709,a(flip),b,6832,a),flip(a)]. 7178 K(x,L(y,z,(u \ y) * w)) = K(x,L(y,z,u \ w)). [hyper(57,a,6933,a(flip),b,7177,a)]. 7179 K(x,L(y * z,u,T(y,z) * w)) = K(x,L(y * z,u,z \ w)). [para(17(a,2),7178(a,1,2,3,1))]. 7180 K(x,L(y,z,(x * u) \ w)) = K(x,L(y,z,u \ (x \ w))). [hyper(6968,a,6840,a),flip(a)]. 7181 x * K(y,L(T(z,u),u,u \ (y \ x))) = (x / (y * u)) * (T(y,z) * u). [para(7180(a,1),5451(a,1,2))]. 7182 T(T(x \ (y \ x),z \ 1),L(z,u,w)) = x \ (L(y,u,K(w,z)) \ x). [para(2601(a,2),7062(a,1,1))]. 7183 ((x * K(y,z)) * T(x,K(y,z))) / T(x * x,K(y,z)) = K(y,z). [para(606(a,1),7075(a,1,1,2))]. 7184 ((K(x,y) * z) * z) / T(z * z,K(x,y)) = K(x,y). [para(3943(a,1),7183(a,1,1))]. 7185 R(K(x,y),z,z) * K(K(x,y),z * z) = K(x,y). [hyper(57,a,2509,a(flip),b,7184,a)]. 7186 K(x,L(y,z,z)) * K(K(x,y),z * z) = K(x,y). [para(6846(a,1),7185(a,1,1))]. 7187 K(x,y) * K(K(x,y),z * z) = K(x,y). [para(7073(a,1),7186(a,1,1))]. 7188 K(x,T(y,z * z)) = K(x,y). [hyper(2415,a,7187,a)]. 7190 K(x,y) * ((z * z) * x) = (z * z) * T(x,y). [para(7188(a,1),3968(a,1,1))]. 7191 L(x * L(x \ 1,x,y),z,u) = a(x,x,L(y \ 1,z,u)). [para(614(a,1),7078(a,2,3,2))]. 7192 a(x,x,L(y \ 1,z,u)) = L(a(x,x,y \ 1),z,u). [para(6605(a,1),7191(a,1,1)),flip(a)]. 7193 a(x,x,L(y \ 1,z,u)) = a(x,x,L(y,z,u) \ 1). [hyper(6808,a,7192,a(flip)),flip(a)]. 7194 a(x,x,L((y \ K(y,z)) \ 1,u,w)) = L(a(x,x,y),u,w). [hyper(230,a,6649,a(flip),b,7193,a),flip(a)]. 7195 a(x,x,L((y \ z) \ 1,x,y)) = a(x,x,((y * x) \ z) \ 1). [hyper(6810,a,7193,a(flip)),flip(a)]. 7196 a(x,x,L(y \ 1,z,y * x)) != u | a(x,x,y \ 1) = u. [para(7193(a,2),6807(a,1))]. 7197 a(x,x,L(T(y,z \ y),u,w)) = L(a(x,x,y),u,w). [para(1870(a,1),7194(a,1,3,1))]. 7198 a(x,x,L(y,z,u)) = L(a(x,x,y),z,u). [hyper(6759,a,7197,a)]. 7200 L(a(x,x,y),z,u) != w | a(x,x,L(y,z,u)) = w. [para(7197(a,1),6759(a,1))]. 7201 a(x,x,L(y,x,z)) = R(a(x,x,y),x,z). [hyper(230,a,6201,a,b,7198,a),flip(a)]. 7202 a(x,x,L(y,z,x)) = a(x,x,y). [hyper(230,a,6103,a(flip),b,7198,a),flip(a)]. 7203 a(x,x,R(y,z,u \ 1)) = a(x,x,L(y,z \ 1,u)). [hyper(6772,a,7198,a(flip))]. 7204 L(a(x,x,y) \ a(x,x,L(y,z,u)),w,a(x,x,y)) = a(x,x,y) \ L(a(x,x,y),z,u). [para(7198(a,2),5420(a,1,1,2))]. 7205 a(x,x,(x * y) \ z) = a(x,x,y \ (x \ z)). [para(222(a,1),7202(a,1,3))]. 7206 a(x,x,L(T(y \ 1,x),z,u)) = a(x,x,L(x \ (y \ x),z,u)). [para(2346(a,1),7202(a,1,3)),flip(a)]. 7207 L(x,y,y) * a(y,y,x) = x. [para(7202(a,1),6162(a,1,2))]. 7208 a(x,x,y) \ y = L(y,x,x). [hyper(6746,a,7207,a)]. 7209 L(x,y,y) \ x = a(y,y,x). [hyper(101,a,7207,a)]. 7211 x * L(y,x,x) = (x \ 1) \ y. [para(7208(a,1),6637(a,1,2))]. 7212 L(a(x,x,y),L(y,x,x),L(y,x,x) \ z) * z = T((z / L(y,x,x)) * y,z). [para(7209(a,1),2848(a,1,1,1))]. 7213 x \ ((x \ 1) \ y) = L(y,x,x). [hyper(101,a,7211,a)]. 7214 L(L(x,y,y \ 1),y,y) = x. [hyper(28,a,847,a(flip),b,7211,a),flip(a)]. 7215 L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = (L(x,y,y \ 1) \ x) * (L(x,y,y \ 1) * z). [para(7214(a,1),6505(a,1,1,2)),flip(a)]. 7216 L(x,y,y) \ (x / y) = y \ 1. [para(7213(a,1),1206(a,1,1))]. 7217 L(x,y,y) \ (y \ x) = T(y \ 1,x). [para(7213(a,1),2436(a,1,1))]. 7218 x \ ((y / x) \ 1) = L(y,x,x) \ 1. [para(7213(a,1),5622(a,1,1)),flip(a)]. 7219 (L(x,y,y) \ 1) \ a(y,y,x) = x. [para(7218(a,1),6588(a,1,1))]. 7220 a(x,x,L(y,x \ 1,z)) = a(x,x,L(y,x,z \ 1)). [hyper(6773,a,7201,a(flip))]. 7221 a(x,x,(y * x) \ z) = a(x,x,y \ (x \ z)). [hyper(57,a,6642,a,b,7205,a)]. 7223 L(x * L(x \ 1,x,y),z,u) != w | a(x,x,L(y \ 1,z,u)) = w. [para(6605(a,2),7200(a,1,1))]. 7224 a(x,x,L(y,z \ 1,u \ 1)) = a(x,x,R(y,z,u)). [para(614(a,1),7203(a,1,3,3)),flip(a)]. 7225 a(x,x,R(y,z,u)) = R(a(x,x,y),z,u). [hyper(57,a,7079,a(flip),b,7224,a),flip(a)]. 7226 a(x,x,R(y,z \ 1,u)) = a(x,x,L(y,z,u \ 1)). [para(614(a,1),7224(a,1,3,2)),flip(a)]. 7227 a(x,x,R(y \ 1,z,u)) = a(x,x,R(y,z,u) \ 1). [para(5746(a,1),7224(a,1,3)),flip(a)]. 7228 a(x,x,R(y,x,z)) = a(x,x,L(y,x,z)). [hyper(230,a,7201,a,b,7225,a),flip(a)]. 7229 a(x,x,(x * y) \ (z * y)) = a(x,x,L(z,x,y)). [hyper(7089,a,7228,a)]. 7230 a(x,x,y \ (x \ (z * y))) = a(x,x,L(z,x,y)). [hyper(57,a,7205,a(flip),b,7229,a)]. 7231 a(x,x,L(T(y \ 1,x),z,u)) = a(x,x,L(y \ x,z,u)). [hyper(230,a,6643,a(flip),b,7206,a),flip(a)]. 7232 a(x,x,L(y \ 1,z,u)) = a(x,x,L(y \ x,z,u)). [hyper(6759,a,7231,a)]. 7233 a(x,x,L((y \ z) \ x,y \ z,y)) = a(x,x,z \ y). [para(253(a,1),7232(a,1,3)),flip(a)]. 7234 a(x,x,L((y * K(z,u)) \ x,w,v5)) = a(x,x,L(K(u,z) / y,w,v5)). [para(4778(a,1),7232(a,1,3,1)),flip(a)]. 7235 a(x,x,y \ (z * x)) = a(x,x,y \ z). [para(298(a,1),7233(a,1,3))]. 7236 a(x,x,y \ 1) = a(x,x,y \ x). [para(2(a,1),7235(a,1,3,2)),flip(a)]. 7237 a(x,x,x \ (y \ x)) = a(x,x,y \ 1). [hyper(230,a,6613,a,b,7236,a)]. 7238 a(x,x,T(L(y,z,u) \ 1,w)) = a(x,x,L(T(y,w),z,u) \ x). [para(1848(a,2),7236(a,1,3))]. 7239 a(x,x,x \ (y \ x)) = a(x,x \ 1,y). [hyper(230,a,6584,a,b,7237,a),flip(a)]. 7240 a(x,x,y \ 1) != z | a(x,x,y \ x) = z. [para(7237(a,1),6768(a,1))]. 7241 a(x \ y,y,y \ 1) = a(y,y \ 1,x). [hyper(6618,a,7239,a)]. 7242 a(x,x,L(T(y,z),u,w) \ x) = a(x,x,L(y,u,w) \ 1). [hyper(6753,a,7238,a),flip(a)]. 7243 a(x,x,L(T(y,z),u,w) \ x) = a(x,x,L(y \ 1,u,w)). [hyper(230,a,7193,a,b,7242,a),flip(a)]. 7245 K(x,K(y,L(z,u * w,w))) = K(x,K(y,L(z,u,w))). [hyper(230,a,6839,a(flip),b,7093,a),flip(a)]. 7246 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(7(a,1),7245(a,1,2,2,2)),flip(a)]. 7247 L(x \ (y \ x),z,K(u,w)) = x \ (L(y,z,K(u,w)) \ x). [hyper(57,a,7041,a(flip),b,7182,a)]. 7248 a(x,x,L((y * K(z,u)) \ x,w,v5)) != v6 | a(x,x,L(y \ K(u,z),w,v5)) = v6. [para(7234(a,2),6957(a,1))]. 7249 K(x * y,T((z * x) * y,u)) = K(x * y,L(T(z,u),x,y)). [hyper(57,a,1902,a(flip),b,6863,a),flip(a)]. 7250 K(x * y,T((z * x) * y,u)) = K(x * y,T(z,u)). [hyper(230,a,5096,a(flip),b,7249,a),flip(a)]. 7251 (x * y) * K(z,(x * y) \ (u * y)) = (x * K(z,x \ u)) * y. [hyper(57,a,7081,a(flip),b,6915,a),flip(a)]. 7252 R(T(x * K(y,x),z),y,u) \ ((y * x) * u) = (y * K(z,y \ (y * x))) * u. [hyper(3233,a,7251,a)]. 7253 a(x,T(y,x),K(T(y,x) * z,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). [hyper(230,a,3519,a(flip),b,6970,a),flip(a)]. 7254 a(x,y \ z,K((y \ z) * u,T(y,w))) * K(x,T((((w * y) / w) \ z) * y,K(y,w)) / ((u \ 1) * T(y,w))) = K(x,(y \ z) * u). [para(3293(a,2),6970(a,1,2,2,1))]. 7255 R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = L(a(u,y,K(z,x)),w,v5) \ 1. [para(3(a,1),6824(a,2,1,1))]. 7256 R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(u,y,K(z,L(x,w,v5))) \ 1. [para(5040(a,2),7255(a,2,1))]. 7257 R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(L(x,w,v5),y,K(z,u)) * 1. [hyper(230,a,6705,a(flip),b,7256,a),flip(a)]. 7258 R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(L(x,w,v5),y,K(z,u)). [hyper(230,a,3,a(flip),b,7257,a),flip(a)]. 7259 a(x,y,K(z,L(u,w \ 1,v5 \ 1))) = a(L(x,w,v5),y,K(z,u)). [hyper(57,a,6935,a,b,7258,a)]. 7260 a(x,y,K(z,L(u,w,(v5 \ 1) \ 1))) = a(L(x,w,v5),y,K(z,u)). [para(6853(a,1),7259(a,1,3))]. 7261 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [para(614(a,1),7260(a,1,3,2,3)),flip(a)]. 7262 a(x,y,K(z,L(u,x * w,v5))) = a(L(x,w,v5),y,K(z,u)). [hyper(6814,a,7261,a),flip(a)]. 7263 K(x \ L(x,y,z),L(u,w,v5)) = a(u,y,K(x,L(z,w,v5))). [hyper(6789,a,7261,a)]. 7264 a(x,y,K(z,L(u,x * w,v5))) = a(x,y,K(z,L(u,w,v5))). [hyper(230,a,7261,a(flip),b,7262,a),flip(a)]. 7265 K(L(x \ L(x,y,z),u,w),v5) = a(v5,y,K(x,L(z,u,w))). [hyper(4645,a,7263,a)]. 7266 K(x,((y / z) * L(z,u,w)) \ y) = a(x,u,K(z,L(w,z,y))). [hyper(3052,a,7265,a)]. 7267 K(x,((y / z) * L(z,u,w)) \ y) = a(x,u,K(z,w)). [para(3170(a,1),7266(a,2,3))]. 7268 ((x / y) * L(y,z,u)) * a(w,z,K(y,u)) != v5 | x * T(x \ ((x / y) * L(y,z,u)),w) = v5. [para(7267(a,1),2667(a,1,2))]. 7270 K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). [hyper(57,a,6781,a(flip),b,6829,a),flip(a)]. 7271 K(x,L(L(y,z,u),z,u \ 1)) = K(x,y). [para(25(a,1),7270(a,1,2))]. 7272 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [para(330(a,1),7270(a,1,2))]. 7273 K(x,L(y \ (z * u),z \ y,z \ 1)) = K(x,(z \ y) \ u). [para(394(a,1),7270(a,1,2))]. 7274 x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). [para(7270(a,1),4587(a,1,2)),flip(a)]. 7275 (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,(K(x,y) / x) \ 1))) = L(y,x,x \ 1) * K(z,u). [para(2649(a,1),7274(a,2,1))]. 7276 ((x \ 1) * y) * ((x \ (1 * y)) \ 1) = a(y,x,x \ 1). [para(6132(a,1),6878(a,1,2,1))]. 7277 ((x \ 1) * y) * ((x \ y) \ 1) = a(y,x,x \ 1). [para(2(a,1),7276(a,1,2,1,2))]. 7278 ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(y / x,y,y \ 1). [para(1053(a,1),7277(a,1,1))]. 7279 a(T(x,y) / z,T(x,y),T(x,y) \ 1) = ((T(x,y) \ 1) * (T(x,y) / z)) * ((x \ (x / z)) \ 1). [para(4909(a,1),7277(a,1,2,1)),flip(a)]. 7280 ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(x \ y,y,y \ 1). [hyper(230,a,6206,a(flip),b,7278,a),flip(a)]. 7281 ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(y,y \ 1,x). [hyper(230,a,7241,a(flip),b,7280,a),flip(a)]. 7282 K(x,L(y,T((z \ 1) * u,z),z \ 1)) = K(x,L(y,z \ u,z \ 1)). [hyper(230,a,7001,a(flip),b,6892,a),flip(a)]. 7283 K(x,y \ ((y / (T(z \ 1,K(z,u)) \ 1)) * w)) = K(x,L(z \ w,y,z \ y)). [hyper(230,a,6899,a,b,7100,a),flip(a)]. 7284 T(x * y,a(z,z,u)) * R(a(u,z,z),x,y) = (x * a(u,z,z)) * y. [para(6791(a,1),7115(a,1,1))]. 7285 (x * y) * R(a(z,u,u),x,y) = (x * a(z,u,u)) * y. [para(6738(a,1),7284(a,1,1))]. 7287 a(x,y \ x,y) \ T(x * (x \ 1),y) = ((y \ x) * (x \ 1)) * y. [para(5(a,1),6672(a,1,2,1,1))]. 7288 a(x,y \ x,y) \ T(1,y) = ((y \ x) * (x \ 1)) * y. [para(5(a,1),7287(a,1,2,1))]. 7291 ((x \ y) * (y \ 1)) * x = a(y,x \ y,x) \ 1. [para(163(a,1),7288(a,1,2)),flip(a)]. 7293 a(x,y,K(z,y / u)) * (K(x,T(z,y)) * u) = (y * K(x,z)) * (y \ u). [para(3916(a,1),6726(a,1,1,3))]. 7294 (K(x,y) / z) * K(u,L(w,z,K(y,x))) = K(x,y) * ((z \ 1) * K(u,w)). [para(1782(a,1),6887(a,1,2,2,3))]. 7295 (K(x,y) / z) * K(u,L(w,z,K(y,x))) = K(x,y) * (z \ K(u,w)). [para(4735(a,1),7294(a,2,2))]. 7296 K(x,(((y * z) \ y) * u) \ y) = K(x,((z \ 1) * u) \ R(y,z,z \ 1)). [hyper(57,a,4402,a(flip),b,6989,a),flip(a)]. 7297 K(x,(((y * z) \ y) * u) \ y) = K(x,((z \ 1) * u) \ L(y,z,z \ 1)). [hyper(230,a,4467,a(flip),b,7296,a),flip(a)]. 7298 K(R(x,y,y \ 1) / (z * (y \ 1)),u) = K((x * y) / z,L(u,x,y \ 1)). [para(207(a,1),7003(a,1,1,1))]. 7299 K(x,R(y,z,z \ 1) / (u * (z \ 1))) = w / (K((y * z) / u,L(x,y,z \ 1)) * w). [para(7298(a,1),2131(a,1,2,1)),flip(a)]. 7300 T((x / L(y,z,z)) * y,x) = (x / L(y,z,z)) * (L(y,z,z) * a(z,z,y)). [hyper(57,a,6747,a(flip),b,7212,a),flip(a)]. 7301 T((x / L(y,z,z)) * y,x) = (x / L(y,z,z)) * y. [para(7207(a,1),7300(a,2,2))]. 7302 R(T(x * K(y,x),z),y,u) \ ((y * x) * u) = (y * K(z,x)) * u. [para(4(a,1),7252(a,2,1,2,2))]. 7303 K(x,(y * z) \ ((y * u) * z)) = (y * z) \ ((y * K(x,u)) * z). [para(7302(a,1),3224(a,1,2)),flip(a)]. 7304 (((((x * K(y,z)) * u) / (x * u)) \ 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)) = L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)). [para(7303(a,2),1932(a,1,2))]. 7305 K(x,y \ ((y / (T(z \ 1,K(z,u)) \ 1)) * w)) = K(x,L((z \ 1) * w,y,z \ y)). [hyper(230,a,5001,a,b,7283,a),flip(a)]. 7306 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(57,a,4722,a(flip),b,6937,a)]. 7307 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(3799(a,1),7306(a,1,1)),flip(a)]. 7308 R(x * (K(y,z) \ u),x \ 1,K(y,z)) = L((K(y,z) / x) \ u,x,x \ 1). [para(4737(a,1),7032(a,2,1,1))]. 7309 R(x * (K(y,z) * u),x \ 1,K(z,y)) = L((K(z,y) / x) \ u,x,x \ 1). [para(2129(a,1),7308(a,1,1,2))]. 7310 L((K(x,y) / z) \ u,z,z \ 1) = L(z * (K(y,x) * u),z \ 1,K(x,y)). [hyper(7068,a,7309,a),flip(a)]. 7311 x * (a(x,y,K(z,u \ (K(x,z) * y))) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). [para(2039(a,1),6727(a,1,2,1,3))]. 7312 x * (a(x,K(y,x) * z,K(y,u \ z)) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). [para(2039(a,1),6728(a,1,2,1,3))]. 7313 a(x \ T(y,z),T(y,z),y \ (y / x)) != u | a(T(y,z),T(y,z),T(y,z) / x) = u. [para(6206(a,1),6774(a,1))]. 7314 x * K(y,L(T(z,u),x,(K(y,z) \ u) \ x)) = (x / (K(y,z) \ u)) * u. [para(3509(a,1),7082(a,1,2,2,1))]. 7315 x * K(y,L(T(z,u),x,(K(z,y) * u) \ x)) = (x / (K(y,z) \ u)) * u. [para(2129(a,1),7314(a,1,2,2,3,1))]. 7317 K(x,L((y \ 1) * z,u,y \ u)) = K(x,u \ ((u / ((y \ 1) \ 1)) * z)). [para(635(a,1),7305(a,1,2,2,1,2,1)),flip(a)]. 7318 (x \ 1) \ L(x \ 1,(y \ x) \ 1,y \ 1) = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). [para(2816(a,1),6819(a,1,2))]. 7319 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,y \ x)). [para(2095(a,1),6913(a,1,2,2))]. 7320 L(a(x,x,y) \ a(x,x,L(y,z,u)),w,a(x,x,y)) = a(x,x,y) \ a(x,x,L(y,z,u)). [para(7198(a,2),7204(a,2,2))]. 7321 K(L(x,y,z \ 1),(y * z) / u) = K(x,R(y,z,z \ 1) / (u * (z \ 1))). [hyper(230,a,2131,a(flip),b,7299,a)]. 7322 K(x,L((y * z) / u,y,z \ 1)) = K(x,R(y,z,z \ 1) / (u * (z \ 1))). [hyper(4692,a,7321,a)]. 7323 K(x,L((y * z) / u,y,z \ 1)) = K(x,L(y,z,z \ 1) / (u * (z \ 1))). [hyper(230,a,5192,a(flip),b,7322,a),flip(a)]. 7324 a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (y \ 1) \ (R(y,x \ y,x) \ 1). [para(5746(a,1),7318(a,1,2)),flip(a)]. 7325 a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (R(y,x \ y,x) / y) \ 1. [hyper(230,a,5605,a(flip),b,7324,a),flip(a)]. 7326 a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (y \ R(y,x \ y,x)) \ 1. [para(711(a,1),7325(a,2,1))]. 7327 a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = a(y,x \ y,x) \ 1. [para(6216(a,1),7326(a,2,1))]. 7328 a(x \ 1,(x / y) \ 1,y \ 1) = a(y,x \ y,x) \ 1. [para(5605(a,1),7327(a,1,2))]. 7329 K(x,y * a(z,y,x)) * ((y * x) * a(z,y,x)) = L(x,y,a(z,y,x)) * (a(z,y,x) * y). [para(4882(a,1),6877(a,1,1,2))]. 7330 a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * L(z \ R(z,x,y),z,x * y). [para(5(a,1),6906(a,1,2))]. 7332 a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * a(z,x,y). [para(6060(a,2),7330(a,2,2))]. 7333 K(x,(y \ (z * u)) / L((y \ z) * u,z,K(u,y))) = a(u,z,K(y,x)). [para(7086(a,1),7013(a,1,2,2))]. 7334 L(L(x,y,z) \ x,x \ 1,T(u,w)) = L(L(x,x \ 1,u),y,z) \ L(x,x \ 1,u). [para(7054(a,1),7059(a,1,2)),flip(a)]. 7335 L(L(x,y,z) \ x,x \ 1,T(u,w)) = L(L(x,y,z) \ x,x \ 1,u). [hyper(230,a,5902,a(flip),b,7334,a),flip(a)]. 7337 L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = L((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,T(u,w)). [para(5754(a,1),7335(a,1,1)),flip(a)]. 7338 L(x,y,a(z,y,x)) * (a(z,y,x) * y) = K(x,y) * ((y * x) * a(z,y,x)). [para(6170(a,1),7329(a,1,1)),flip(a)]. 7339 L(x,y,a(z,y,x)) * (a(z,y,x) * y) = (x * y) * a(z,y,x). [hyper(230,a,2117,a(flip),b,7338,a),flip(a)]. 7341 L(x,y,a(z,y,x)) * (y * a(z,y,x)) = (x * y) * a(z,y,x). [para(4882(a,1),7339(a,1,2))]. 7342 ((x \ 1) * y) \ (a(y,x,x \ 1) * z) = a(y,x,x \ 1) * (((x \ 1) * y) \ z). [para(6677(a,1),6679(a,1,1)),flip(a)]. 7343 a(x,y,y \ 1) * (((y \ 1) * x) \ z) = ((y \ 1) * x) \ (a(y,y,x) * z). [para(6577(a,1),7342(a,1,2,1)),flip(a)]. 7344 ((x \ 1) * y) \ (a(x,x,y) * z) = a(x,x,y) * (((x \ 1) * y) \ z). [para(6577(a,1),7343(a,1,1)),flip(a)]. 7345 K(x,T(y / z,z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). [para(7(a,1),7168(a,1,2,1,2))]. 7346 K(x,(y * (z / y)) \ T(u,T(y,z))) = K(x,T(u / z,y \ z)). [para(697(a,1),7345(a,1,2,2)),flip(a)]. 7347 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(57,a,7159,a(flip),b,7346,a)]. 7348 T(x,y \ 1) * K(z,L(u,y,(x \ 1) / y)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). [para(5624(a,1),6888(a,1,2,2,3))]. 7349 T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). [para(2836(a,1),7348(a,1,2,2))]. 7350 T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * ((K(u,z) * y) \ 1). [para(1782(a,1),7349(a,2,2,1,1))]. 7351 T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * (y \ K(z,u)). [para(4801(a,1),7350(a,2,2))]. 7352 a(T(x,y) / z,T(x,y),T(x,y) \ 1) = (T(x \ 1,y) * (T(x,y) / z)) * ((x \ (x / z)) \ 1). [para(1845(a,2),7279(a,2,1,1))]. 7353 a(T(x,y) / z,T(x,y),T(x,y) \ 1) = ((z \ x) * (x \ 1)) * ((x \ (x / z)) \ 1). [para(5829(a,1),7352(a,2,1))]. 7354 a(T(x,y) / z,T(x,y),T(x,y) \ 1) = a(x,x \ 1,z). [hyper(230,a,7281,a(flip),b,7353,a),flip(a)]. 7356 a(T(x,y) / z,T(x,y),x \ (x / z)) = a(x,x \ 1,z). [hyper(57,a,6575,a(flip),b,7354,a)]. 7358 a(x \ T(y,z),T(y,z),y \ (y / x)) = a(y,y \ 1,x). [hyper(57,a,6206,a(flip),b,7356,a)]. 7359 a(x \ T(y,z),T(y,z),y \ (y / x)) = a(y,y,x \ 1). [hyper(230,a,6584,a(flip),b,7358,a),flip(a)]. 7360 a(x,x \ y,y \ (x * z)) \ z = (x \ y) * L((x \ y) \ z,x \ y,x). [para(5(a,1),6904(a,1,2))]. 7361 a(x,x \ y,y \ (x * z)) \ z = (x \ y) * (y \ (x * z)). [para(298(a,1),7360(a,2,2))]. 7362 (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,x * K(y,x)))) = L(y,x,x \ 1) * K(z,u). [para(4785(a,1),7275(a,1,2,2,2,3))]. 7363 (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,T(x,y \ x)))) = L(y,x,x \ 1) * K(z,u). [para(1637(a,2),7362(a,1,2,2,2,3))]. 7364 (x * K(y \ (z * u),T(y,x))) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). [para(3860(a,1),6946(a,1,1,2))]. 7365 (K(x \ (y * z),x) * u) \ T(u,(y / (((x \ (y * z)) * x) / z)) \ 1) = K(x,y / (x / z)). [para(1979(a,1),7364(a,1,1))]. 7366 (K(x \ (y * z),x) * u) \ T(u,K(x,y / (x / z)) \ 1) = K(x,y / (x / z)). [para(2722(a,1),7365(a,1,2,2))]. 7367 (K(x \ (y * z),x) * u) \ T(u,K(y / (x / z),x) * 1) = K(x,y / (x / z)). [para(2129(a,1),7366(a,1,2,2))]. 7368 (K(x \ (y * z),x) * u) \ T(u,K(x \ (y * z),x) * 1) = K(x,y / (x / z)). [para(6944(a,1),7367(a,1,2,2,1))]. 7369 (K(x \ (y * z),x) * u) \ T(u,K(x \ (y * z),x)) = K(x,y / (x / z)). [para(3(a,1),7368(a,1,2,2))]. 7370 (K(x \ (y * z),x) * u) \ T(u,K(y * z,x)) = K(x,y / (x / z)). [para(1688(a,1),7369(a,1,2,2))]. 7371 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(4079(a,1),6952(a,2,2))]. 7372 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(4678(a,1),7371(a,2,2))]. 7373 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(4054(a,1),7372(a,2,2,1))]. 7374 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(3799(a,1),7373(a,2,2))]. 7375 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(230,a,6936,a(flip),b,7374,a),flip(a)]. 7376 T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). [para(93(a,1),7375(a,2,2))]. 7377 T(K(x,y) * K(z,x),u) * u = u * (K(x,y) * K(z,x)). [hyper(230,a,4677,a(flip),b,7376,a),flip(a)]. 7378 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(105,a,7377,a)]. 7379 (K(x,y) * K(z,x)) \ T(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [para(7378(a,1),1667(a,2,2)),flip(a)]. 7380 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(1634,a,7379,a)]. 7382 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(7380(a,2),1592(a,2,2)),flip(a)]. 7383 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(1994(a,1),7382(a,1,2,1))]. 7385 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(57,a,7307,a(flip),b,7383,a)]. 7386 x \ T(x,K(y,z) * K(u,y)) != w | K(K(u,y) * K(y,z),x) = w. [para(7383(a,1),241(a,1,2))]. 7387 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(1994(a,1),7385(a,2,2))]. 7388 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(7387(a,1),4199(a,1,1))]. 7389 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(1629,a,7388,a),flip(a)]. 7390 K(x,T(y,(z * u) \ u) / (T(u * z,z \ 1) * ((z * u) \ u))) = K(x,T(T(u,z) \ y,z * u)). [para(1034(a,1),6999(a,2,2,2))]. 7391 K(x,T(y,z \ (u \ z)) / (T(z * u,u \ 1) * ((u * z) \ z))) = K(x,T(T(z,u) \ y,u * z)). [para(2316(a,1),7390(a,1,2,1,2))]. 7392 K(x,T(y,z \ (u \ z)) / (K(z * u,u \ 1) * (K(z,u) * z))) = K(x,T(T(z,u) \ y,u * z)). [para(2120(a,2),7391(a,1,2,2))]. 7393 K(x,T(y,z \ (u \ z)) / (K(z * u,u \ 1) * T(z,u))) = K(x,T(T(z,u) \ y,u * z)). [para(1610(a,2),7392(a,1,2,2,2))]. 7394 K(x,T(y,z \ (u \ z)) / T(K(z * u,u \ 1) * z,u)) = K(x,T(T(z,u) \ y,u * z)). [para(3663(a,2),7393(a,1,2,2))]. 7395 K(x,T(y,z \ (u \ z)) / T(z * K(u * z,u \ 1),u)) = K(x,T(T(z,u) \ y,u * z)). [para(2255(a,1),7394(a,1,2,2,1))]. 7396 K(x,T(y,z \ (u \ z)) / (u \ T(z * u,u \ 1))) = K(x,T(T(z,u) \ y,u * z)). [para(4845(a,1),7395(a,1,2,2))]. 7397 T(x,K(y,z)) \ T(u * T((K(y,z) * x) / K(y,z),K(z,y)),K(z,y)) = T(u,T(K(y,z),x) * x). [para(3801(a,1),7137(a,1,1))]. 7398 T(x,K(y,z)) \ T(u * T(T(x,K(y,z)),K(z,y)),K(z,y)) = T(u,T(K(y,z),x) * x). [para(3801(a,1),7397(a,1,2,1,2,1))]. 7399 T(x,K(y,z)) \ T(u * x,K(z,y)) = T(u,T(K(y,z),x) * x). [para(1787(a,1),7398(a,1,2,1,2))]. 7400 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,T(K(y,z),x) * x). [para(3796(a,1),7399(a,1,2))]. 7401 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(230,a,3975,a(flip),b,7400,a),flip(a)]. 7402 K(x,T(y \ 1,K(z,u)) * T(w * y,K(z,u))) = K(x,T(w,y * K(z,u))). [para(7401(a,1),4774(a,2,2))]. 7403 L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w) = L((R(x,y,T(z,u)) \ x) \ 1,(x \ 1) \ 1,T(w,v5)). [para(1845(a,2),7337(a,1,1,1,3))]. 7404 T(x,(K(y,T(z,u / w)) * u) * (w \ a(v5,v6,v5))) = T(x,w \ (T(u,w \ a(v5,v6,v5)) * K(y,z))). [para(4830(a,1),6992(a,1,2,1,1,2))]. 7406 K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / ((z * y) \ y)))) = K(x,T(u / y,z * y)). [para(5(a,1),6997(a,2,2,1,2))]. 7407 K(x,(y * K(z \ 1,z * y)) \ T(u,y \ (z * y))) = K(x,T(u / y,z * y)). [hyper(57,a,5038,a(flip),b,7406,a)]. 7408 K(x,(y * K(z \ 1,z * y)) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). [para(17(a,2),7407(a,1,2,2,2))]. 7409 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). [hyper(57,a,4288,a(flip),b,7408,a)]. 7410 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [hyper(57,a,7347,a(flip),b,7409,a)]. 7411 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(6(a,1),7410(a,1,2,1)),flip(a)]. 7412 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(6(a,1),7411(a,1,2,1)),flip(a)]. 7413 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(5354,a,7412,a)]. 7414 K(x,T(y,(z / u) * z)) = K(x,T(y,u)). [para(72(a,1),7412(a,1,2,2)),flip(a)]. 7415 K(x,y) * K(y,T(x,z * u)) = K(y,K(x,z \ u)). [para(7412(a,1),3725(a,1,2))]. 7416 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(57,a,7412,a(flip),b,7413,a)]. 7417 K(x * (y * z),T(u,z * y)) = K((y * z) * x,u). [hyper(5356,a,7416,a),flip(a)]. 7418 K(x,T(y \ (z * u),u * z)) = K(x,(z * u) / y). [hyper(5350,a,7416,a),flip(a)]. 7419 K(x,T(y * (z * u),u * z)) = K(x,(z * u) * y). [hyper(5021,a,7416,a),flip(a)]. 7420 K(x,T(y \ (z * u),u * z)) != w | K(x,(z * u) / y) = w. [para(7416(a,1),5350(a,1))]. 7421 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(3834,a,7415,a),flip(a)]. 7422 K(x,K(y,z \ u)) != w | K(x,K(y,z * u)) = w. [para(7415(a,1),3834(a,1))]. 7423 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(3843,a,7421,a)]. 7424 K(x,K(y,z * u)) != w | K(x,K(y,u \ z)) = w. [para(7421(a,1),3843(a,1))]. 7425 K(x,K(y,z * u)) = K(x,K(y,u * z)). [hyper(57,a,7421,a(flip),b,7423,a)]. 7426 K(x,K(y,z * (y / u))) = K(y,K(x,u \ z)). [hyper(5101,a,7425,a),flip(a)]. 7427 K(x,K(y * z,u)) = K(x,K(u,z * y)). [hyper(3781,a,7425,a)]. 7428 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(7425(a,1),3739(a,1))]. 7429 K(x,K(y,z * u)) != w | K(x,K(u * z,y)) = w. [para(7425(a,1),3781(a,1))]. 7430 K(x,K(y * z,u)) = K(x,K(z * y,u)). [hyper(230,a,3753,a,b,7427,a)]. 7431 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(5(a,1),7427(a,1,2,1)),flip(a)]. 7432 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(7427(a,1),3781(a,1))]. 7433 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(7427(a,2),3781(a,1))]. 7434 K(x,K(y * z,u)) != w | K(x,K(u,z * y)) = w. [para(7430(a,1),3781(a,1))]. 7435 K(x,K(y * (z \ 1),u)) = K(x,K(z \ y,u)). [para(4738(a,1),7430(a,1,2)),flip(a)]. 7436 K(x,K(y,T(z,u))) = K(x,K(z,y)). [para(649(a,2),7431(a,1,2,2))]. 7437 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [hyper(3844,a,7436,a),flip(a)]. 7438 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(3781,a,7436,a)]. 7439 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(230,a,3753,a,b,7436,a),flip(a)]. 7440 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(230,a,3738,a,b,7436,a),flip(a)]. 7441 K(x,K(y,T(z,u))) = K(y,K(x,z)). [hyper(230,a,3736,a(flip),b,7436,a),flip(a)]. 7442 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(742(a,1),7436(a,1,2,2)),flip(a)]. 7443 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(7436(a,1),1995(a,1,2)),flip(a)]. 7444 K(x,K(y,T(z,u))) != w | K(z,K(x,y)) = w. [para(7436(a,2),3739(a,1))]. 7446 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(7436(a,1),3844(a,1))]. 7447 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(95(a,1),7438(a,1,2,1)),flip(a)]. 7448 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(2227(a,1),7438(a,1,2))]. 7449 K(x,K(T(y,z),L(u,w,v5))) != v6 | K(x,K(u,L(y,w,v5))) = v6. [para(7438(a,2),4593(a,1))]. 7450 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(7439(a,1),1995(a,1,2)),flip(a)]. 7451 K(x,K(y,z)) * K(x,T(z,u) / y) = K(x,y \ T(z,u)). [para(7439(a,1),4050(a,1,1))]. 7452 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(4040(a,1),7439(a,1,2))]. 7453 K(x / y,K(z,u)) = K(z,K(u,y \ x)). [para(95(a,1),7440(a,1,2,2)),flip(a)]. 7454 K(x,K(y,z)) * u = u * K(z,K(x,y)). [para(7440(a,1),1995(a,1,2)),flip(a)]. 7456 K(x,K(y,z)) * K(z,T(x,u) \ y) = K(z,y / T(x,u)). [para(7440(a,1),4048(a,1,1))]. 7457 K(x / y,K(z,u)) = K(z,K(y \ x,u)). [para(2235(a,1),7441(a,1,2)),flip(a)]. 7458 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7441(a,1),1995(a,1,2)),flip(a)]. 7459 K(x,K(y,z)) * K(y,x / T(z,u)) = K(y,T(z,u) \ x). [para(7441(a,1),4047(a,1,1))]. 7460 K(K(x,y),K(z,u)) = 1. [hyper(99,a,7448,a(flip),b,3740,a),flip(a)]. 7461 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(7448(a,1),1980(a,1,2))]. 7463 K(x / y,K(z,u)) != w | K(y \ x,K(z,u)) = w. [para(7448(a,1),5346(a,1))]. 7464 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(7448(a,1),6991(a,1,1,1))]. 7465 T(K(x,y),K(z,u)) = K(x,y). [hyper(50,a,7460,a)]. 7466 K(x,T(y,K(z,u))) = K(x,y). [hyper(5353,a,7465,a),flip(a)]. 7467 K(T(x,K(y,z)),u) = K(x,u). [hyper(2325,a,7465,a)]. 7468 (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). [hyper(2162,a,7465,a)]. 7470 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(7465(a,1),93(a,1,2))]. 7474 T(K(x,y) * z,K(z,u)) = K(x,y) * z. [para(7465(a,1),3704(a,2,1))]. 7475 T(x * K(y,z),K(x,u)) = x * K(y,z). [para(7465(a,1),3989(a,2,2))]. 7476 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(7465(a,1),5353(a,1))]. 7477 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(5358,a,7466,a),flip(a)]. 7478 K(x,L(T(y,K(z,u)),w,v5)) = K(x,L(y,w,v5)). [hyper(5348,a,7466,a),flip(a)]. 7479 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(5021,a,7466,a)]. 7480 K(x,T(y,z * u) * (u * z)) = K(x,(u * z) * y). [hyper(57,a,4180,a(flip),b,7466,a)]. 7482 K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)). [para(2496(a,1),7466(a,1,2))]. 7483 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(3601(a,1),7466(a,1,2))]. 7484 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(3608(a,1),7466(a,1,2)),flip(a)]. 7485 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(7466(a,1),3968(a,1,1))]. 7486 K(x,T(y / T(z,u),z)) = K(x,T(z,u) \ y). [para(3828(a,1),7466(a,1,2))]. 7487 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(7466(a,1),5021(a,1))]. 7488 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(7466(a,1),5356(a,1))]. 7490 K(K(x,y) * (z * x),u) = K(z * T(x,y),u). [para(2496(a,1),7467(a,1,1))]. 7491 T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z)) * K(z,u). [para(7467(a,1),5558(a,2,2))]. 7493 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(7483(a,1),1979(a,1,2))]. 7494 K(x,T(y,z)) * T(z,u) = T(z,u) * K(x,y). [para(7483(a,1),3863(a,1,1))]. 7495 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(7483(a,1),4311(a,1,2))]. 7496 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(1789(a,1),7476(a,1,2))]. 7497 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(2496(a,1),7476(a,1,2))]. 7498 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(3601(a,1),7476(a,1,2))]. 7499 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(3985(a,1),7476(a,1,2))]. 7500 K(x,y) \ K(y,K(x,y \ z)) = (z / y) / (z / T(y,x)). [para(7437(a,1),4232(a,1,2))]. 7501 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(7442(a,2),3781(a,1))]. 7502 K(x,K(y \ z,u)) * K(x,(z / y) / u) = K(x,u \ (z / y)). [para(7442(a,2),4050(a,1,1))]. 7503 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(4574(a,1),7442(a,1,2)),flip(a)]. 7504 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [para(4631(a,2),7442(a,1,2))]. 7505 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [hyper(57,a,4046,a(flip),b,7443,a),flip(a)]. 7506 K(x,K(x \ y,z)) * u = u * K(x,K(z,y)). [para(3791(a,2),7443(a,1,1))]. 7507 x * K(y,K(z,u)) != w | K(z,K(u,y)) * w = x. [para(7443(a,1),3765(a,1))]. 7510 T(x,K(y,K(z,u))) = x. [hyper(191,a,7450,a)]. 7511 (x * y) * K(z,K(u,L(w,x,y))) = (K(w,K(z,u)) * x) * y. [hyper(57,a,6921,a(flip),b,7450,a),flip(a)]. 7512 K(x,y \ z) * K(z,K(x,y)) = K(x,z / y). [hyper(57,a,4048,a(flip),b,7450,a),flip(a)]. 7513 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(57,a,3732,a(flip),b,7450,a),flip(a)]. 7514 T(x,T(y,K(z,u))) = T(x,y). [hyper(28,a,3460,a,b,7450,a)]. 7515 (x * K(y,K(z,u))) * w != x * (v5 * K(y,K(z,u))) | L(v5,K(y,K(z,u)),x) = w. [para(7450(a,1),292(a,2,2))]. 7517 (x \ y) * K(z,K(u,x)) != w | T(x,K(z,u)) \ y = w. [para(7450(a,1),3717(a,1))]. 7518 (x * y) * K(z,K(u,L(w,y,x))) = x * (K(z,K(u,w)) * y). [para(7450(a,2),4666(a,2,2))]. 7519 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(3987,a,7510,a)]. 7520 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(57,a,4186,a(flip),b,7510,a)]. 7521 ((K(x,y) * z) \ u) * K(K(x,y),z) = (z * K(x,y)) \ u. [hyper(57,a,3941,a(flip),b,7510,a)]. 7522 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(7510(a,1),216(a,1,2))]. 7523 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(7510(a,1),7134(a,1,2,1,2))]. 7524 T(x,K(y,z)) / T(u,x) = u \ T(x,K(y,z)). [para(7514(a,1),697(a,1,2))]. 7525 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). [para(2496(a,1),7514(a,1,2))]. 7526 T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). [para(7514(a,1),3124(a,1,1,2))]. 7527 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(7514(a,1),4018(a,1))]. 7528 T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). [para(4756(a,1),7514(a,1,2))]. 7529 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(4938(a,1),7514(a,1,2))]. 7533 (K(x,y) * K(z,u)) \ w != K(y,x) | K(z,u) = w. [para(7468(a,1),41(a,1)),flip(a)]. 7534 T(T(x,K(y,z)),K(x / K(y,z),u)) = K(y,z) * (x / K(y,z)). [para(3802(a,1),7474(a,1,1))]. 7535 T(x * K(y,z),T(u,x)) = T(x * K(y,z),u). [para(7475(a,1),3602(a,1,1))]. 7536 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(7141,a,7477,a)]. 7537 T(K(x,y) * K(K(x,y) * z,u),z) = z \ T(K(x,y) * z,u). [para(7477(a,2),4845(a,1,1,2))]. 7538 K(x,y * K(z,z * u)) = K(x,K(u,z) * y). [hyper(7167,a,7479,a),flip(a)]. 7539 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(7144,a,7479,a)]. 7540 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(4587(a,1),7479(a,2,2))]. 7541 K(x,y * K(z,u)) * K(w,v5) = K(w,v5) * K(x,K(z,u) * y). [para(7479(a,1),7470(a,1,1))]. 7542 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(230,a,7319,a,b,7484,a)]. 7543 K(x,T(L(y,z \ u,z),u / z)) = u \ (z * (K(x,y) * (z \ u))). [hyper(230,a,4606,a(flip),b,7484,a),flip(a)]. 7544 T(x,(K(y,T(z,u \ w)) * w) * (u \ a(v5,v6,v5))) = T(x,u \ (T(w,u \ a(v5,v6,v5)) * K(y,z))). [para(7484(a,1),7404(a,1,2,1,1))]. 7545 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(7172,a,7519,a)]. 7546 T(x,y * K(z,u \ 1)) = T(x,K(u,z) * y). [para(1696(a,1),7519(a,1,2,1)),flip(a)]. 7548 x \ T(x,K(y,z) * K(u,w)) = K(x,K(w,u) * K(z,y)). [hyper(230,a,7139,a,b,7539,a)]. 7549 K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). [para(2487(a,1),7539(a,2,2))]. 7550 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(7545(a,1),7129(a,1,1,2))]. 7551 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(742(a,1),7498(a,1,2,2))]. 7552 K(x,K(y \ z,u)) * K(x,(z * (y \ 1)) / u) = K(x,u \ (z * (y \ 1))). [para(7435(a,1),4047(a,1,1))]. 7553 K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). [para(3601(a,1),7478(a,1,2,1))]. 7554 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [para(3608(a,1),7478(a,1,2,1)),flip(a)]. 7555 K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) = K(x,v5 * T(u * K(y,z),w)). [para(7477(a,2),7482(a,1,2,1))]. 7556 (K(x,y) * T(z,u)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(w,K(x,y) * z,K(z,u)). [para(7485(a,1),13(a,2,1)),flip(a)]. 7557 (K(x,y) * T(z,u)) \ (K(z,u) * (K(x,y) * (z * w))) = L(L(w,z,K(x,y)),K(x,y) * z,K(z,u)). [para(7485(a,1),287(a,1,1))]. 7558 K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,T(x \ y,x) \ z). [hyper(57,a,4259,a,b,7486,a)]. 7559 K(x * T(y,z),x * y) = K(z,K(y,x * y)). [hyper(57,a,3786,a(flip),b,7490,a),flip(a)]. 7560 K(K(K(x,y) * z,u) * (K(y,x) * (K(x,y) * z)),w) = K(T(z * K(x,y),u) * K(y,x),w). [para(1928(a,2),7490(a,2,1))]. 7561 R(K(x,T(y,z)),T(z,u),(T(z,u) * K(x,y)) \ w) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). [para(7494(a,1),252(a,1,1,3,1))]. 7562 K(x,y \ (z * u)) * K(x,K(T(z,x) * u,y)) = K(x,(T(z,x) * u) / y). [para(4411(a,1),7505(a,1,1))]. 7563 K(x \ y,K(x,z)) * u = u * K(x,K(z,y)). [para(3738(a,1),7506(a,1,1))]. 7564 K(x,(y / z) \ u) * K(u,K(x,z \ y)) = K(x,u / (y / z)). [para(7437(a,1),7512(a,1,2))]. 7566 T(x,(T(y,z) \ u) * T(y,z)) = T(x,(y \ u) * y). [para(3441(a,1),7525(a,1,2)),flip(a)]. 7567 T(x \ K(y,z),a(u,w,y)) = T(x,a(u,w,y)) \ K(y,z). [hyper(57,a,5242,a(flip),b,7526,a)]. 7568 T(x,y) \ T(y * T(x,y),z) = T(y * K(y * x,z),x). [hyper(57,a,4964,a(flip),b,7535,a)]. 7569 K(x,y * K(z,u)) * (y / (y * K(z,u))) = y / T(y * K(z,u),x). [para(7535(a,1),3998(a,1,2)),flip(a)]. 7570 K(x,R(y,z,K(u,u * w)) \ ((y * z) * K(u,u * w))) = K(x,K(w,u) * z). [para(148(a,2),7538(a,1,2))]. 7571 K(x * T(y,z),x * y) = K(y,K(z,x)). [hyper(230,a,3766,a(flip),b,7559,a),flip(a)]. 7572 K(x * T(x \ y,z),y) = K(x \ y,K(z,x)). [para(5(a,1),7571(a,1,2))]. 7573 K(T(x,y) * z,z * T(x,z)) = K(T(x,z),K(y,z)). [para(188(a,1),7571(a,1,1))]. 7574 K(x \ y,x) * K(x,K(z,y)) = K(x \ y,T(x,z)). [hyper(57,a,3730,a(flip),b,7563,a),flip(a)]. 7575 K(x * T(x \ y,z),y) = K(x,K(x \ y,z)). [hyper(230,a,3736,a(flip),b,7572,a),flip(a)]. 7576 K(x * T(x \ y,z),y) = K(y,K(x,z)). [hyper(230,a,3748,a(flip),b,7575,a),flip(a)]. 7577 K((x * y) * T(R(T(z,x * y),x,y),u),(z * x) * y) = K((z * x) * y,K(x * y,u)). [para(438(a,1),7576(a,1,1,2,1))]. 7578 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(89(a,1),7432(a,1,2,2))]. 7579 K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. [para(7421(a,2),7432(a,1))]. 7581 x * K(y,K(z,u)) != w | K(z,K(u,y)) * x = w. [para(3736(a,1),7461(a,1,2))]. 7585 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(4829(a,2),7499(a,1,2))]. 7586 K(x,T(y,z \ u)) != w | K(x,T(y,u * z)) = w. [para(7412(a,2),7499(a,1))]. 7588 K(x,K(y,z)) * u != w | u * K(y,K(x,z)) = w. [para(3738(a,1),7522(a,1,1))]. 7590 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(7136(a,1),7527(a,1))]. 7591 T(x,K(y * K(z,u),w) * v5) != v6 | T(x,v5 * K(K(u,z) * y,w)) = v6. [para(7536(a,1),7527(a,1,2,1))]. 7592 K((x * y) * (z / (y * x)),u) = K(z * K(x,y),T(u,y * x)). [para(2617(a,1),7417(a,1,1)),flip(a)]. 7593 K(x,T(y \ (z * (u / z)),u)) = K(x,(z * (u / z)) / y). [para(7(a,1),7418(a,1,2,2))]. 7594 K(x,T((y * z) * T(u,z),z * u)) = K(x,(u * z) * R(y,z,u)). [para(2647(a,1),7419(a,1,2,1))]. 7595 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(7450(a,1),7464(a,1,1))]. 7597 K(x,T(y,z) * (u * (z / u))) = K(x,(u * (z / u)) * y). [para(7(a,1),7480(a,1,2,1,2))]. 7598 K(x,T(y,z \ u) * (u * (z \ 1))) = K(x,(u * (z \ 1)) * y). [para(4817(a,1),7480(a,1,2,1))]. 7600 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(7520(a,2),37(a,1))]. 7601 K(x,L(T(y,z),T(z,u),w)) * ((T(z,u) * K(y,x)) * w) = T(z,u) * w. [para(7553(a,1),6972(a,1,1))]. 7602 T(x,(T(y,z) \ u) * T(y,z)) = T(x,T(u,y)). [hyper(230,a,1072,a(flip),b,7566,a),flip(a)]. 7603 T(x,T(K(y,z) * u,y)) = T(x,(y \ u) * T(y,z)). [para(1820(a,1),7602(a,1,2,1)),flip(a)]. 7604 K(T(x,y) * z,x * z) = K(T(x,z),K(y,z)). [para(93(a,1),7573(a,1,2))]. 7605 K(T(x,y) * z,x * z) = K(z,K(T(x,z),y)). [hyper(230,a,3736,a(flip),b,7604,a),flip(a)]. 7606 K(T(x,y) * z,x * z) = K(z,K(x,T(y,z))). [para(2226(a,1),7605(a,2,2))]. 7607 K(T(x,y) * z,x * z) = K(x,K(z,y)). [hyper(230,a,7441,a(flip),b,7606,a),flip(a)]. 7609 K(T(R(x,y,z),u) * (y * z),(x * y) * z) = K(R(x,y,z),K(y * z,u)). [para(89(a,1),7607(a,1,2))]. 7610 K(x \ (y * z),x) * K(x,K(y,z)) = K(x \ (y * z),T(x,y)). [para(1647(a,1),7574(a,1,2,2))]. 7611 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(7595(a,2),3764(a,1,1))]. 7612 K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) != v6 | K(x,v5 * T(u * K(y,z),w)) = v6. [para(7477(a,2),7497(a,1,2,1))]. 7613 K(x,K(y,z)) * K(z,T(x,u) / y) = K(z,y \ T(x,u)). [para(3713(a,1),7451(a,1,1))]. 7614 K(x,K(y \ z,u)) * K(u,T(x,w) \ (z / y)) = K(u,(z / y) / T(x,w)). [para(7447(a,1),7456(a,1,1))]. 7615 K(x \ y,K(z,x)) * K(z,(x \ y) / T(x,u)) = K(z,x \ (T(x,u) \ y)). [para(508(a,1),7459(a,2,2))]. 7616 K(x,y) \ K(z,K(y,x)) = (z / y) / (z / T(y,x)). [para(3751(a,1),7500(a,1,2))]. 7617 (x / y) / (x / T(y,z)) = K(y,z) * K(x,K(y,z)). [hyper(2142,a,7616,a),flip(a)]. 7618 (x / y) / (x / T(y,z)) = K(y,T(z,x)). [hyper(230,a,3782,a(flip),b,7617,a),flip(a)]. 7619 T(x,T((y / z) \ K(z,T(u,y)),w)) = T(x,T((y / T(z,u)) \ 1,w)). [para(7618(a,1),4160(a,1,2,1,2))]. 7620 ((K(x,y) * z) \ u) * K(x,K(y,z)) = (z * K(x,y)) \ u. [para(3711(a,1),7521(a,1,2))]. 7621 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(7510(a,1),7523(a,1,2)),flip(a)]. 7622 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(230,a,17,a,b,7621,a),flip(a)]. 7624 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(7590,a,7622,a)]. 7625 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [para(2134(a,1),7622(a,1,2))]. 7626 T(x,y / T(z,K(u,w))) = T(x,y / z). [para(3997(a,1),7622(a,1,2))]. 7627 T(x,T(y,K(z,u)) / w) = T(x,y / w). [para(4906(a,1),7622(a,1,2)),flip(a)]. 7628 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(7622(a,1),7139(a,1,2)),flip(a)]. 7629 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(7624(a,1),1587(a,2,2))]. 7630 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(1997(a,1),7624(a,1,2))]. 7631 T(x,y * T(z,K(u,w))) = T(x,y * z). [para(2472(a,1),7624(a,1,2))]. 7632 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(4193(a,1),7624(a,1,2)),flip(a)]. 7633 T(x,y \ (K(z,u) * w)) = T(x,y \ (w * K(z,u))). [para(4996(a,1),7624(a,1,2)),flip(a)]. 7634 T(x,T(y * K(z,K(u,w)),v5)) = T(x,T(y,v5)). [para(7595(a,2),7624(a,1,2))]. 7635 T(T(K(x,T(y,z)) * u,w),K(x,y)) = T(u * K(x,T(y,z)),w). [hyper(57,a,650,a(flip),b,7630,a),flip(a)]. 7636 T(x,(K(y,z) \ u) \ w) = T(x,(u * K(z,y)) \ w). [para(2155(a,1),7625(a,1,2,1)),flip(a)]. 7637 T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)). [para(3601(a,1),7626(a,1,2,2))]. 7638 T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). [para(3601(a,1),7627(a,1,2,1))]. 7639 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(230,a,1589,a,b,7628,a),flip(a)]. 7640 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(7628(a,2),1634(a,1))]. 7641 K(x,y * T(z,K(u,w))) = K(x,y * z). [hyper(7497,a,7639,a)]. 7642 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(7496,a,7639,a)]. 7643 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(57,a,7549,a(flip),b,7639,a)]. 7644 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(57,a,7147,a(flip),b,7639,a)]. 7645 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(1778(a,1),7639(a,1,2))]. 7646 K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). [para(2117(a,1),7639(a,1,2)),flip(a)]. 7647 K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(2554(a,1),7639(a,1,2))]. 7648 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(2697(a,1),7639(a,1,2))]. 7649 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(2016(a,1),7639(a,1,2))]. 7650 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(2861(a,1),7639(a,1,2))]. 7651 K(x,(K(K(y,z),u) * w) * v5) = K(x,w * v5). [para(6917(a,1),7639(a,1,2)),flip(a)]. 7652 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(2615(a,1),7642(a,1,2)),flip(a)]. 7653 K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). [para(2625(a,1),7642(a,1,2))]. 7654 K(x,y * (z * T(u,K(w,v5)))) = K(x,y * (z * u)). [para(3162(a,1),7642(a,1,2))]. 7655 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(4666(a,1),7642(a,1,2))]. 7656 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [para(4996(a,1),7642(a,1,2)),flip(a)]. 7657 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(230,a,1587,a,b,7629,a),flip(a)]. 7658 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(7488,a,7657,a)]. 7659 ((x * K(y,K(z,u))) \ w) * (K(x,(x * K(y,K(z,u))) \ w) * v5) = (w / (x * K(y,K(z,u)))) * v5. [para(7657(a,1),1905(a,1,2,1))]. 7660 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(7513(a,1),7657(a,1,1))]. 7661 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(1778(a,1),7658(a,1,1))]. 7662 K((K(x,y) * z) * u,w) = K((z * K(x,y)) * u,w). [para(2117(a,1),7658(a,1,1)),flip(a)]. 7663 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(2554(a,1),7658(a,1,1))]. 7664 T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). [hyper(57,a,1083,a(flip),b,7631,a),flip(a)]. 7665 K(x,T(y \ 1,K(z,u)) * (w * y)) = K(x,T(w,y * K(z,u))). [hyper(57,a,7402,a(flip),b,7641,a),flip(a)]. 7666 K(x,y * T(K(z,u) * w,v5)) = K(x,y * T(w * K(z,u),v5)). [para(650(a,1),7641(a,1,2,2)),flip(a)]. 7667 K(x,y * (K(z,u) * (w * z))) = K(x,y * (w * T(z,u))). [para(2496(a,1),7641(a,1,2,2))]. 7668 K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). [para(3608(a,1),7641(a,1,2,2)),flip(a)]. 7669 K(x,y * ((z / u) * K(z,w))) = K(x,y * (T(z,w) / u)). [para(4913(a,1),7641(a,1,2,2))]. 7670 K(x,y * (K(z,u) * (w \ z))) = K(x,y * (w \ T(z,u))). [para(4938(a,1),7641(a,1,2,2))]. 7671 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(3601(a,1),7643(a,1,2,2))]. 7672 K(x,T(y \ 1,K(z,u)) * w) = K(x,y \ w). [hyper(5007,a,7644,a)]. 7674 K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). [para(3601(a,1),7644(a,1,2,1))]. 7675 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(3601(a,1),7645(a,1,2,1))]. 7676 K(x,y * (z * K(y,u))) = K(x,T(y,u) * z). [para(3958(a,1),7645(a,1,2))]. 7677 K(x,L(y \ (z * K(u,w)),z * K(u,w),K(w,u))) = K(x,(K(w,u) * y) \ z). [hyper(4695,a,7649,a)]. 7678 K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,u)). [para(3601(a,1),7649(a,1,2,2))]. 7679 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(3608(a,1),7649(a,1,2,2)),flip(a)]. 7680 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(3601(a,1),7650(a,1,2,1))]. 7681 K(((x * y) \ z) * (y * x),u) = K((y * x) * (z / (x * y)),u). [hyper(57,a,4031,a(flip),b,7661,a),flip(a)]. 7682 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(2254(a,1),7640(a,1,2))]. 7683 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(2018(a,1),7640(a,1,2))]. 7684 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. [para(2697(a,1),7640(a,1,2))]. 7685 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(2615(a,1),7682(a,1,2))]. 7686 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(3162(a,1),7682(a,1,2))]. 7688 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(4666(a,1),7682(a,1,2))]. 7689 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(4996(a,1),7682(a,1,2))]. 7690 T(x,T(y \ K(z,K(u,w)),v5)) = T(x,T(y \ 1,v5)). [para(4735(a,1),7634(a,1,2,1))]. 7691 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [para(763(a,1),7637(a,1,2,2)),flip(a)]. 7692 K(x / T(y,T(z,u)),w) = w / T(w,x / T(y,z)). [para(7637(a,1),1587(a,2,2))]. 7693 T(x,T(y,z) / (u * (z / u))) = T(x,(u * (z / u)) \ y). [hyper(57,a,3971,a(flip),b,7638,a),flip(a)]. 7694 T(x,T(y,z) / T(z,u)) = T(x,T(z,u) \ y). [hyper(57,a,1069,a(flip),b,7638,a),flip(a)]. 7695 K(x,K(y,z / u) * w) = K(x,K(y,u \ z) * w). [para(95(a,1),7648(a,1,2,1,2)),flip(a)]. 7696 K(x,((K(y,z) * u) * w) * v5) = K(x,((u * K(y,z)) * w) * v5). [para(2117(a,1),7651(a,1,2,1))]. 7697 K(x,(y / T(z,K(u,w))) * v5) = K(x,(y / z) * v5). [para(3997(a,1),7651(a,1,2,1))]. 7698 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(2224(a,1),7655(a,1,2,2))]. 7699 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * (z \ (v5 * K(u,w)))). [para(4996(a,1),7655(a,1,2,2)),flip(a)]. 7700 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(7513(a,1),7655(a,1,2,2))]. 7701 K(x,(K(y,z) * (u \ K(z,y))) * w) = K(x,u \ w). [para(4757(a,2),7672(a,1,2,1))]. 7703 K(x,T(y,z) \ T(z,u)) != w | K(x,T(z,u) / y) = w. [para(7674(a,1),5366(a,1))]. 7704 K((x \ y) \ y,T(z,u) * w) = K(x,T(T(z,T(u,v5)) * w,y)). [hyper(2419,a,7675,a),flip(a)]. 7705 K(x,y * (z * K(y,z))) != u | K(x,z * y) = u. [para(7676(a,2),5022(a,1))]. 7706 K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,u)). [hyper(57,a,7347,a(flip),b,7678,a)]. 7707 K(x,y \ T(z * ((z / u) / z),z)) = K(x,y \ (u \ T(z,u \ 1))). [hyper(57,a,2935,a(flip),b,7678,a),flip(a)]. 7708 K(x,T(y,z) / T(z,u)) = K(x,T(z,u) \ y). [hyper(57,a,2606,a(flip),b,7680,a),flip(a)]. 7709 T(x,y / T(z * u,u \ 1)) = T(x,y / T(z * u,z)). [para(1034(a,2),7691(a,2,2,2)),flip(a)]. 7710 K(x,(y \ z) / T(y,u)) = K(x,T(y,u) \ (z / y)). [para(95(a,1),7708(a,1,2,1))]. 7711 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(1789(a,1),7683(a,1,2,2))]. 7712 K(x,y * (K(z,u) * (w * z))) != v5 | K(x,y * (w * T(z,u))) = v5. [para(2496(a,1),7683(a,1,2,2))]. 7713 K(x,y * ((z / u) * K(z,w))) != v5 | K(x,y * (T(z,w) / u)) = v5. [para(4913(a,1),7683(a,1,2,2))]. 7714 K(x,(K(y,z) * (u / z)) * w) = K(x,(u / T(z,y)) * w). [para(2487(a,1),7646(a,2,2,1))]. 7715 K(x,(y * K(z,u)) \ w) = K(x,(y \ K(u,z)) * w). [hyper(5009,a,7647,a),flip(a)]. 7716 K(x,y * (K(z,T(T(u,w),v5)) * (K(v5,u) * w))) = K(x,y * ((u * w) / T(T(T(u,w),v5),z))). [para(3563(a,1),7652(a,2,2,2))]. 7717 K(x,y * ((z * u) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(6857(a,1),7652(a,1,2,2)),flip(a)]. 7718 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(57,a,4803,a(flip),b,7653,a),flip(a)]. 7719 K(x,y * T(z * u,u \ 1)) = K(x,y * (u * T(z,K(w,v5)))). [para(1034(a,2),7654(a,2,2,2)),flip(a)]. 7720 K(x,y * (z * T(u,T(w,v5)))) = K(x,y * (z * T(u,w))). [para(3601(a,1),7654(a,1,2,2,2))]. 7721 K(x,y * (z * ((u / w) * K(u,v5)))) = K(x,y * (z * (T(u,v5) / w))). [para(4913(a,1),7654(a,1,2,2,2))]. 7722 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(6857(a,1),7656(a,1,2,2)),flip(a)]. 7723 T(x,y / (K(z,u) * w)) = T(x,y * (K(u,z) / w)). [hyper(230,a,4833,a,b,7664,a)]. 7724 K(x,(y / T(z,u)) \ T(T(u,z),y \ z)) = K(x,u / (y / z)). [hyper(57,a,5259,a(flip),b,7679,a),flip(a)]. 7725 K(x,y \ T(z,y \ x)) = K(x,x \ (z * (x / y))). [hyper(57,a,5102,a(flip),b,7679,a),flip(a)]. 7726 K(x,(y * ((z \ y) / y)) \ T(u,y \ z)) = K(x,u / (z \ T(y,z \ 1))). [hyper(57,a,3214,a(flip),b,7679,a),flip(a)]. 7727 K(x / T(y,T(z,u)),w) = K(x / T(y,z),w). [hyper(230,a,1587,a,b,7692,a),flip(a)]. 7728 K(((x * y) / x) / T(z,y),u) = K(z \ ((x * y) / x),u). [hyper(57,a,3969,a(flip),b,7727,a),flip(a)]. 7729 K(x,K(y,y \ z) * ((y \ z) / u)) = K(x,(z / y) / u). [para(4915(a,1),7695(a,1,2)),flip(a)]. 7730 K(x,(y / T(z,T(u,w))) * v5) = K(x,(y / T(z,u)) * v5). [para(3601(a,1),7697(a,1,2,1,2))]. 7732 K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z \ y)). [para(6(a,1),7706(a,1,2,1)),flip(a)]. 7733 K(x,T(R(T(y * z,y) / y,u,w),v5 \ v6)) = K(x,T(v6,v5) \ T(T(v6 * R(z,u,w),v6),v5)). [para(1309(a,2),7706(a,1,2,1))]. 7734 K(x,T(y / (T(z,u) \ 1),w \ T(z \ 1,u))) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [para(5039(a,2),7706(a,1,2))]. 7735 K(x,(y \ K(z,u)) * (y * (K(u,z) * w))) = K(x,L(w,K(u,z),y)). [para(13(a,2),7715(a,1,2)),flip(a)]. 7736 K(x,y * ((z * T(u,w)) \ K(u,w))) = K(x,y / (z * u)). [para(2489(a,1),7718(a,1,2,2)),flip(a)]. 7737 K(x,y * (z \ K(y,u))) = K(x,T(y,u) / z). [para(4944(a,1),7718(a,1,2)),flip(a)]. 7738 K(x,y * (T(z,u) \ K(w,z * u))) = K(x,y / (u \ T(z * u,w))). [para(4933(a,1),7718(a,1,2,2)),flip(a)]. 7739 K(x,y * (z \ K(y,(u * w) \ w))) = K(x,T(y,T(u \ 1,w)) / z). [para(2400(a,1),7737(a,1,2,2,2))]. 7740 T(T(x,y * (z \ K(y,u))),K(w,T(y,u) / z)) = T(x,T(y * (z \ K(y,u)),w)). [para(7737(a,1),3807(a,1,2))]. 7741 K(x,y \ T(z,y \ x)) = K(x,z / y). [hyper(230,a,5132,a(flip),b,7725,a),flip(a)]. 7742 K(x,T(y,(z \ 1) \ x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(2734(a,2),7741(a,1,2))]. 7743 K(x,T(y,z) \ T(u * y,z)) != w | K(x,T(u,y * z)) = w. [para(7732(a,2),7586(a,1))]. 7744 K(x,y * (z \ (u * K(w,v5)))) != v6 | K(x,y * (z \ (K(w,v5) * u))) = v6. [para(4996(a,1),7688(a,1,2,2))]. 7745 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(7513(a,1),7688(a,1,2,2))]. 7746 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(7386,a,7548,a)]. 7747 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(57,a,7389,a,b,7746,a)]. 7748 T(x \ K(y,z),a(u,w,y)) = L(x,w,K(y,u)) \ K(y,z). [para(7019(a,2),7567(a,2,1))]. 7749 T(x * K(x * y,z),y) = T(y,x) \ T(y * x,z). [para(93(a,1),7568(a,1,2,1)),flip(a)]. 7750 K(x,((y * (z * (u / z))) / y) / T(y,z * (u / z))) = K(x,T(y \ (z * (u / z)),u)). [para(550(a,2),7593(a,2,2)),flip(a)]. 7751 K(x,T(y,z \ u) * (u / z)) = K(x,(u * ((z \ u) / u)) * y). [hyper(57,a,2761,a(flip),b,7597,a)]. 7752 K(x,y \ ((z \ u) \ u)) = K(z,K(y,x)) * K(x,T(z,u) / y). [hyper(230,a,2934,a,b,7613,a)]. 7753 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(7620(a,1),7682(a,1,2))]. 7754 K(x,y * (K(z,u) * (w * (z / u)))) = K(x,y * (w * T(z / u,u))). [para(1804(a,1),7667(a,1,2,2,1))]. 7755 K(x,y * (K(z * u,u \ 1) * (w * (z * u)))) = K(x,y * (w * (((z * u) \ z) \ z))). [para(2077(a,1),7667(a,2,2,2,2))]. 7756 K(x,y * T(T(z,u) / w,z)) = K(x,y * (w \ T(z,u))). [para(4912(a,2),7670(a,1,2,2))]. 7758 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (K(u,w) * z)). [hyper(57,a,7652,a(flip),b,7700,a)]. 7759 T(x,y / T(z * u,u \ 1)) = T(x,y / (u * z)). [hyper(230,a,7691,a(flip),b,7709,a),flip(a)]. 7760 T(x,y / T(z,u \ 1)) = T(x,y / (u * (z / u))). [para(7(a,1),7759(a,1,2,2,1))]. 7761 K(x,(y / T(z,z \ u)) * w) = K(x,(K(u,z) * (y / z)) * w). [para(670(a,2),7714(a,2,2,1,2)),flip(a)]. 7762 K(x,y * (K(T(z,u),w) * (v5 * T(z,u)))) = K(x,y * (T(T(z,u),w) * T(v5,z))). [para(1776(a,2),7720(a,1,2,2))]. 7764 K(x,(y * ((y \ z) / y)) / u) = K(x,(z / y) / u). [hyper(57,a,5054,a,b,7729,a)]. 7765 K(x,(((y * z) / y) / T(u,z)) * w) = K(x,(u \ ((y * z) / y)) * w). [hyper(57,a,3970,a(flip),b,7730,a),flip(a)]. 7766 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(230,a,7380,a,b,7747,a),flip(a)]. 7768 L(x \ K(y,z),u,K(y,w)) = L(x,u,K(y,w)) \ K(y,z). [hyper(7066,a,7748,a)]. 7769 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(57,a,7094,a(flip),b,7766,a),flip(a)]. 7770 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(4441(a,1),7769(a,1,1))]. 7771 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(3753(a,1),7770(a,2,3))]. 7773 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(230,a,7437,a,b,7452,a),flip(a)]. 7774 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(7501,a,7504,a)]. 7775 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [para(7518(a,1),7657(a,1,1))]. 7776 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(2697(a,1),7775(a,1,1,2))]. 7777 K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). [para(7520(a,1),7775(a,1,1,2))]. 7778 K(x * (K(y,T(z * y,u)) * w),v5) = K(x * (K(y,y * z) * w),v5). [para(1683(a,1),7776(a,2,1,2,1))]. 7779 K(x,(K(y,z) * u) * T(w,u)) = K(x,w * (u * K(y,z))). [para(6858(a,1),7540(a,1,2))]. 7781 K(x,y * (z * (K(u,w) * (v5 \ 1)))) != v6 | K(x,y * (z * (v5 \ K(u,w)))) = v6. [para(4756(a,1),7686(a,1,2,2,2))]. 7783 K(x,y * (K(z \ 1,u) * w)) != v5 | K(x,y * (w * K(u,z))) = v5. [para(1698(a,2),7711(a,1,2,2,1))]. 7786 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(6(a,1),7773(a,1,2,2,1)),flip(a)]. 7787 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(17(a,2),7774(a,1,2,1,1))]. 7788 T(T(x,K(y,z)),K(x * K(z,y),u)) = K(y,z) * (x / K(y,z)). [para(2166(a,1),7534(a,1,2,1))]. 7789 K(x \ (y * z),x) * K(x,K(y,z)) = K(z / (y \ x),x). [hyper(230,a,5308,a(flip),b,7610,a),flip(a)]. 7790 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(7513(a,1),7611(a,1,1,1))]. 7792 K(x,T(y,z * K(u,w))) = K(x,z \ (y * z)). [hyper(57,a,7672,a(flip),b,7665,a),flip(a)]. 7794 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [para(17(a,2),7792(a,2,2))]. 7795 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(7499,a,7794,a)]. 7796 K(x,T(y \ (K(z,u) * w),w)) = K(x,(K(z,u) * w) / y). [hyper(7420,a,7794,a),flip(a)]. 7798 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(57,a,7414,a(flip),b,7794,a),flip(a)]. 7799 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(2472(a,1),7794(a,1,2,2))]. 7800 K(x,T(y,T(z,u) * w)) = K(x,T(y,z * w)). [para(2526(a,1),7794(a,1,2,2)),flip(a)]. 7801 K(x,T(y,T(z,u) \ w)) = K(x,T(y,z \ w)). [para(2190(a,1),7794(a,1,2,2))]. 7802 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(2488(a,1),7794(a,1,2,2))]. 7804 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(7794(a,1),3863(a,1,1))]. 7805 (x * K(y,z)) \ K(u,T(w,x)) = K(u,w) / (x * K(y,z)). [para(7794(a,1),3870(a,1,2))]. 7806 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). [para(4587(a,1),7794(a,1,2,2))]. 7807 K(x,T(y,z \ (u * w))) = K(x,T(y,z \ (w * u))). [para(4996(a,1),7794(a,1,2,2))]. 7809 K(x,T((K(y,z) * u) \ w,u)) = K(x,w / (K(y,z) * u)). [hyper(5349,a,7795,a),flip(a)]. 7810 x * K(y,T(z,K(u,w) * x)) = K(y,z) * x. [para(7795(a,2),1979(a,1,2))]. 7811 K(x,K(y,K(z,u) * w)) = K(x,y) * K(y,T(x,w)). [para(7795(a,1),3746(a,1,2)),flip(a)]. 7812 K(x,T(y,(z * K(u,w)) * v5)) = K(x,T(y,z * v5)). [para(6929(a,1),7795(a,1,2,2)),flip(a)]. 7813 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(7798(a,1),3863(a,1,1))]. 7814 K(x,T(y,z \ T(u,w))) = K(x,T(y,u \ z)). [hyper(5354,a,7801,a)]. 7816 x * T(K(y,z),K(u,w) * x) = K(y,z) * x. [para(1974(a,1),7810(a,1,2))]. 7817 K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((u * K(y,T(z,x))) * (x \ y),T(w,y \ x)). [hyper(57,a,5544,a,b,7814,a)]. 7818 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [para(7816(a,1),7129(a,1,1))]. 7819 K(x,y) \ K(x,T(y,z / (u \ w))) != v5 | K(x,K(y,z / (w / u))) = v5. [para(7802(a,1),3851(a,1,2))]. 7820 K(x,T(y,z * (T(u,w) \ v5))) = K(x,T(y,z * (u \ v5))). [para(2190(a,1),7806(a,1,2,2,2))]. 7821 K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,T(y,z * (u * w))). [para(4587(a,1),7806(a,1,2,2,2))]. 7823 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(230,a,3746,a(flip),b,7811,a),flip(a)]. 7825 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(7432,a,7823,a)]. 7826 K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). [hyper(7424,a,7823,a)]. 7827 K(x,K(K(y,z) * u,w)) = K(x,K(w,u)). [hyper(3781,a,7823,a)]. 7828 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(2117(a,1),7823(a,1,2,2))]. 7829 K(x,K(y,z)) * K(K(u,w) * z,y) = K(K(u,w) * z,T(y,x)). [para(7823(a,1),2365(a,1,1))]. 7830 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(2371(a,1),7823(a,1,2,2))]. 7831 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(2443(a,1),7823(a,1,2,2))]. 7832 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(2018(a,1),7823(a,1,2,2))]. 7833 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(2919(a,1),7823(a,1,2,2)),flip(a)]. 7834 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(3997(a,1),7823(a,1,2,2))]. 7835 K(x,K(y,(K(z,u) * w) * v5)) = K(x,K(y,w * v5)). [para(4093(a,1),7823(a,1,2,2))]. 7836 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(5072(a,1),7823(a,1,2,2))]. 7837 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(7540(a,1),7823(a,1,2))]. 7838 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(2488(a,1),7825(a,1,2,2))]. 7839 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(2615(a,1),7825(a,1,2,2))]. 7840 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(2739(a,1),7825(a,1,2,2)),flip(a)]. 7842 T(x,K(y,z * K(u,w))) = K(y,K(x,z)) * x. [para(7825(a,1),3771(a,1,1)),flip(a)]. 7843 K(x,K(y \ K(z,u),w)) = K(x,K(w,y)). [hyper(3781,a,7826,a)]. 7844 K(x \ K(y,z),K(u,w)) = K(w,K(u,x)). [hyper(3715,a,7826,a)]. 7845 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(230,a,3753,a,b,7827,a),flip(a)]. 7846 K(x,K(y \ T(z,u),w)) = K(x,K(w,z \ y)). [para(2094(a,1),7843(a,1,2))]. 7847 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(7433,a,7845,a)]. 7848 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(4593,a,7845,a)]. 7849 K(x,K(T(y,z) * u,w)) = K(x,K(y * u,w)). [para(1778(a,1),7845(a,1,2,1))]. 7850 K(x,K((y / z) * u,w)) = K(x,K((z \ y) * u,w)). [para(2443(a,1),7845(a,1,2,1))]. 7851 K(x,K(y * K(z,u),w)) = K(y,K(x,w)). [hyper(230,a,3738,a,b,7847,a),flip(a)]. 7852 K(x,K(y * (z * u),w)) = K(x,K(y * (u * z),w)). [para(2615(a,1),7847(a,1,2,1))]. 7853 K(x,K(y,L(z,y * K(u,w),v5))) = K(x,K(y * K(u,w),z)). [para(3170(a,1),7847(a,1,2)),flip(a)]. 7855 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(7851(a,2),3739(a,1))]. 7856 K(x,K(y,z)) * K(y,z / (x * K(u,w))) = K(y,(x * K(u,w)) \ z). [para(7851(a,1),4050(a,1,1))]. 7857 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(7832(a,1),4048(a,1,1))]. 7858 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(7832(a,2),7432(a,1))]. 7859 K(x,K(y,z / T(u,w))) = K(x,K(y,u / z)). [hyper(230,a,3790,a,b,7834,a),flip(a)]. 7861 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(230,a,3771,a(flip),b,7842,a),flip(a)]. 7862 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [para(1979(a,1),7861(a,1,2,2))]. 7863 T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). [para(4587(a,1),7861(a,1,2,2))]. 7864 T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). [para(4598(a,1),7861(a,1,2,2)),flip(a)]. 7865 x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). [para(7861(a,1),7134(a,1,2,1,2))]. 7866 T(T(x,K(y,z)),T(K(u,w) * z,y)) = T(x,K(u,w) * z). [para(7862(a,1),3602(a,1,1))]. 7867 K(x,K(y \ (z * u),w)) = K(x,K(w,(u * z) \ y)). [para(589(a,1),7846(a,1,2,1,2))]. 7868 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(294(a,1),7859(a,1,2,2)),flip(a)]. 7869 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [para(589(a,1),7859(a,1,2,2,2)),flip(a)]. 7870 K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. [para(7859(a,2),3842(a,1))]. 7871 K(x,K(T(y,z) / u,w)) != v5 | K(x,K(y / u,w)) = v5. [para(556(a,1),7855(a,1,2,1))]. 7872 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(1592(a,2),7855(a,1,2,1))]. 7873 K(x * K(y,z),T(u,x * w)) != v5 | K(x * K(y,z),T(u,w)) = v5. [para(7812(a,1),2420(a,1))]. 7877 K(x,K(y,(K(z,u) * w) * v5)) = K(x,K(y,v5 * w)). [hyper(7432,a,7833,a)]. 7878 K(x,K(y * (K(z,u) * w),v5)) = K(x,K(v5,y * w)). [hyper(3781,a,7833,a)]. 7879 K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z * ((w \ u) / v5))). [para(4915(a,1),7833(a,1,2,2,2))]. 7880 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(2443(a,1),7835(a,1,2,2,1))]. 7881 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(5051(a,2),7835(a,1,2,2,1))]. 7882 K(x,K(y,(z * u) / w)) = K(x,K(y,w \ (u * z))). [hyper(7446,a,7836,a),flip(a)]. 7883 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(230,a,7786,a(flip),b,7836,a),flip(a)]. 7884 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(7836(a,1),3842(a,1))]. 7886 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [hyper(7432,a,7837,a)]. 7887 K(x,K(y,z * u)) * K(y,(z * (u * K(w,v5))) \ x) = K(y,x / (z * (u * K(w,v5)))). [para(7837(a,1),4048(a,1,1))]. 7888 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(4400(a,1),7837(a,1,2,2,2))]. 7889 K(x,K(y,z * (u \ (w / v5)))) = K(x,K(y,z * (u \ (v5 \ w)))). [para(4941(a,1),7837(a,1,2,2,2))]. 7890 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(7838(a,2),4604(a,1,1))]. 7891 K(x,K((y * z) * u,w)) = K(x,K(w,u * (z * y))). [hyper(7429,a,7839,a)]. 7892 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(4739(a,1),7840(a,2,2))]. 7893 K((x \ K(x,y)) \ z,K(u,w)) = K(u,K((y \ (y * x)) * (u \ z),w)). [hyper(5026,a,7850,a)]. 7894 K(x,K(y * ((T(z,z \ 1) * u) * (z \ 1)),w)) = K(x,K(y * L(u,z,z \ 1),w)). [para(2826(a,1),7852(a,1,2,1,2)),flip(a)]. 7895 T(T(x,K(y,z * u)),(z * (K(w,v5) * u)) \ y) = T(x,y / (z * (K(w,v5) * u))). [para(7864(a,1),4276(a,1,1))]. 7896 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(7869(a,2),3842(a,1))]. 7897 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(2135(a,1),7877(a,1,2,2,1)),flip(a)]. 7898 K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). [para(3997(a,1),7877(a,1,2,2,1))]. 7900 K(x,K(y,z * (u \ K(w,v5)))) = K(x,K(y,u \ z)). [para(7701(a,1),7877(a,1,2)),flip(a)]. 7901 K(x,K(y * ((T(z,u) * w) * v5),v6)) = K(x,K(v6,y * ((z * w) * v5))). [para(4087(a,1),7878(a,1,2,1,2))]. 7902 K(x,K(y,(z * u) / T(w,v5))) = K(x,K(y,w \ (u * z))). [hyper(57,a,7834,a,b,7882,a)]. 7903 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * (K(v6,v7) * z))). [hyper(230,a,7833,a,b,7886,a),flip(a)]. 7904 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(7891(a,1),7434(a,1))]. 7905 K(x,K(y,z * (u \ K(w,v5)))) = K(x,K(y,z / u)). [hyper(230,a,7437,a,b,7900,a),flip(a)]. 7906 K(x,K(y,z / (u * K(w,v5)))) = K(x,K(y,z / u)). [para(7718(a,2),7905(a,1,2))]. 7907 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [hyper(3842,a,7906,a)]. 7908 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(2739(a,1),7906(a,1,2,2,2)),flip(a)]. 7909 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [para(4598(a,1),7906(a,1,2,2,2)),flip(a)]. 7910 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,z / v5)). [hyper(230,a,3790,a,b,7907,a),flip(a)]. 7911 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(7907(a,1),7520(a,1,1))]. 7912 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(2472(a,1),7910(a,1,2,2,1))]. 7914 K(x,K(y,z / ((u * w) / u))) != v5 | K(x,K(y,z / w)) = v5. [para(743(a,1),7870(a,1,2,2,2))]. 7915 (x * K(T(y \ (K(z,u) * w),w),v5)) \ x = K(v5,(K(z,u) * w) / y). [hyper(57,a,2160,a,b,7796,a)]. 7916 T(x,T(y \ (K(z,u) * w),w)) = x * K(x,(K(z,u) * w) / y). [para(7796(a,1),1592(a,2,2))]. 7917 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(1741(a,1),7804(a,1,1))]. 7918 K(x,((K(y,z) * u) \ w) * K(u,(K(y,z) * u) \ w)) = K(x,w / (K(y,z) * u)). [hyper(5352,a,7809,a)]. 7919 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(57,a,4754,a(flip),b,7813,a)]. 7920 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(57,a,4897,a,b,7919,a)]. 7921 T(T(x,K(y,z)),K(u,w) * y) = T(x,T(K(u,w) * y,z)). [para(1787(a,1),7866(a,1,1)),flip(a)]. 7922 T(T(x,K(y,z \ u)),T(K(w,v5) * (u / z),y)) = T(x,K(w,v5) * (u / z)). [para(7632(a,1),7866(a,1,1))]. 7923 K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = K(x,K(y,a(w,z,z \ u))). [para(76(a,1),7902(a,2,2,2))]. 7924 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(57,a,7869,a(flip),b,7912,a)]. 7925 T(x,K(K(y,z) * u,w)) = T(x,K(u,w)). [hyper(34,a,3600,a,b,7921,a)]. 7926 T(T(x,K(y,z)),z \ (K(u,w) * y)) = T(x,(K(u,w) * y) / z). [para(7925(a,1),4276(a,1,1))]. 7927 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(95(a,1),7924(a,1,2,2,2,1)),flip(a)]. 7928 K(x,K(y,L(z,y * K(u,w),v5))) = K(x,K(y,z)). [hyper(230,a,7847,a(flip),b,7853,a),flip(a)]. 7930 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [para(4629(a,1),7928(a,1,2))]. 7931 K(x,K((y * z) * u,w)) != v5 | K(x,K(w,u * (z * y))) = v5. [para(7427(a,2),7904(a,1))]. 7932 K(x,y * T(K(z,u) * w,z)) = K(x,y * ((z \ w) * T(z,u))). [para(3126(a,1),7666(a,2,2,2))]. 7933 K(x,y * T(z * K(u,T(w,z * v5)),v5)) = K(x,y * (T(z,v5) * K(u,w))). [para(6991(a,1),7666(a,1,2,2)),flip(a)]. 7934 K(((x * y) \ z) * (y * x),u) = K(z * K(y,x),T(u,x * y)). [hyper(230,a,7592,a(flip),b,7681,a),flip(a)]. 7936 K(x,T(T(y,T(z,u)) * w,v5)) != v6 | K(x,T(T(y,z) * w,v5)) = v6. [para(7704(a,1),2419(a,1))]. 7937 K(x,y * T(z * u,u \ 1)) = K(x,y * (u * z)). [hyper(230,a,7654,a(flip),b,7719,a),flip(a)]. 7939 K(x,T(y,z \ u) * (u / z)) = K(x,(u / z) * y). [hyper(230,a,7157,a(flip),b,7751,a),flip(a)]. 7940 K(x,K(y,z)) * K(z,((x \ u) \ u) / y) = K(z,y \ ((x \ u) \ u)). [para(693(a,1),7752(a,2,2,2,1)),flip(a)]. 7941 K(x,(y / T(z,z \ u)) * w) = K(x,(y / T(z,u)) * w). [hyper(230,a,7714,a(flip),b,7761,a),flip(a)]. 7942 K(x,(y / ((z \ u) \ u)) * w) = K(x,(y / T(z,u)) * w). [para(94(a,1),7941(a,1,2,1,2))]. 7943 K(x,(y / ((z \ u) \ u)) / w) = K(x,(y / T(z,u)) * (w \ K(x,v5))). [hyper(5030,a,7942,a)]. 7944 T(T(x,K(y,z)),K(x * K(z,y),u)) = T(x,K(z,y)). [hyper(230,a,1788,a(flip),b,7788,a),flip(a)]. 7945 T(x,T(x * K(y,z),u)) = T(x,K(y,z)). [hyper(57,a,3822,a(flip),b,7944,a)]. 7947 K(x,T(y,(z * (u * K(w,v5))) * v6)) = K(x,T(y,v6 * (z * u))). [hyper(7499,a,7821,a)]. 7948 K(x,K(y,z)) * K(K(u,w) * x,z) = K(K(u,w) * x,T(z,y)). [para(3736(a,1),7829(a,1,1))]. 7949 K(x,K(y,z * ((u / w) / v5))) != v6 | K(x,K(y,((w \ u) / v5) * z)) = v6. [para(7879(a,2),7432(a,1))]. 7950 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(422(a,1),7880(a,1,2,2,1,1)),flip(a)]. 7951 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(7432,a,7881,a)]. 7952 K(x,K(y,(z * (u * K(w,v5))) * v6)) = K(x,K(y,v6 * (K(v7,v8) * (z * u)))). [para(4587(a,1),7903(a,1,2,2,1))]. 7953 T(x,T(y \ (K(z,u) * w),w)) != v5 | T(x,(K(z,u) * w) / y) = v5. [para(7916(a,2),1607(a,1))]. 7954 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(57,a,5638,a(flip),b,7917,a),flip(a)]. 7955 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(57,a,7920,a(flip),b,7954,a),flip(a)]. 7956 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(7955(a,2),4441(a,2,2))]. 7957 K(x,T(y,(z * u) * w)) = K(x,T(y,w * (u * z))). [para(1608(a,1),7947(a,1,2,2,1))]. 7958 K(K(x,y) * z,K(u,w)) = K(z,K(u,w)). [hyper(29,a,3762,a,b,7948,a)]. 7959 K(K(x,y),K(z,u) * w) = K(w,K(x,y)). [hyper(3789,a,7958,a)]. 7960 K(T(x,y) * z,K(u,w)) = K(x * z,K(u,w)). [para(1778(a,1),7958(a,1,1))]. 7961 K(T(x,y) \ z,K(u,w)) = K(x \ z,K(u,w)). [para(1819(a,1),7958(a,1,1)),flip(a)]. 7962 K(K(x,y) * z,K(u,w)) != v5 | K(u,K(w,z)) = v5. [para(7958(a,2),3837(a,1))]. 7963 K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(u,K(y \ x,z)). [hyper(57,a,3340,a,b,7959,a)]. 7964 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(7951(a,1),7432(a,1))]. 7965 K(x,T(L(y,z / u,u),z / u)) = z \ (u * (K(x,y) * (u \ z))). [para(2807(a,2),7543(a,1,2,1))]. 7966 K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (K(u,w) * z)) = v6. [para(7652(a,1),7745(a,1))]. 7967 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(7871,a,7787,a)]. 7968 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(3815(a,1),7967(a,1,2,1))]. 7969 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [para(6889(a,1),7967(a,1,2))]. 7970 K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). [hyper(57,a,6960,a(flip),b,7965,a)]. 7971 K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). [hyper(230,a,5379,a(flip),b,7970,a),flip(a)]. 7972 K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). [hyper(57,a,3442,a(flip),b,7971,a)]. 7973 K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). [hyper(3404,a,7972,a)]. 7975 K(x,y / (((z / x) / z) * x)) = K(x,y). [hyper(57,a,3405,a(flip),b,7973,a)]. 7976 K(x,y * ((z / x) / z)) = K(x,x \ y). [hyper(4716,a,7975,a),flip(a)]. 7977 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [para(69(a,1),7976(a,1,2,2,1)),flip(a)]. 7978 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(7977(a,1),1721(a,1,2))]. 7979 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(57,a,5243,a,b,7978,a)]. 7980 K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,(x \ y) \ z). [hyper(230,a,3518,a(flip),b,7558,a),flip(a)]. 7981 K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,y \ (x * z)). [hyper(230,a,3110,a(flip),b,7980,a),flip(a)]. 7982 K(x,T((y / z) \ T(x,x \ y),y)) = K(x,y \ (x * z)). [hyper(2418,a,7981,a)]. 7983 K(x,y * K(z,u)) * K(u,T(z,y)) = y / T(y * K(z,u),x). [para(3933(a,1),7569(a,1,2))]. 7984 K(x,T(y,z)) * K(u,K(y,x) * z) = z / T(z * K(y,x),u). [hyper(57,a,7541,a(flip),b,7983,a)]. 7986 K(x,y \ (z \ T(u,z \ 1))) = K(x,y \ (u / z)). [para(646(a,1),7707(a,1,2,2)),flip(a)]. 7988 K(x,y * (K(z,T(u,w)) \ K(v5,K(z,u) * w))) = K(x,y / (w \ T(K(z,u) * w,v5))). [para(1974(a,2),7738(a,1,2,2,1))]. 7989 K(x,T(y,T(z \ 1,u)) / w) = K(x,T(y,(z * u) \ u) / w). [hyper(57,a,7737,a(flip),b,7739,a),flip(a)]. 7990 K(x,T(y,T(z \ 1,u)) / w) = K(x,T(y,u \ (z \ u)) / w). [para(2316(a,1),7989(a,2,2,1,2))]. 7991 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). [hyper(57,a,7680,a(flip),b,7990,a),flip(a)]. 7993 K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / (z \ T(y * z,z \ 1))). [hyper(57,a,7396,a(flip),b,7991,a)]. 7994 K(x,y * (K(z,u) * (w * (z / u)))) = K(x,y * (w * (u \ z))). [para(95(a,1),7754(a,2,2,2,2))]. 7995 K(x,(y \ ((z * u) / z)) * (w * K(((z * u) / z) / T(y,u),w))) = K(x,w * (((z * u) / z) / T(y,u))). [hyper(7705,a,7765,a),flip(a)]. 7997 K(x * (K(y,y * z) * u),w) = K(x * (u * K(y,z * y)),w). [para(3863(a,1),7778(a,1,1,2)),flip(a)]. 7998 K((x \ K(x,y)) \ z,K(u,w)) = K(u,K(x * (u \ z),w)). [para(4(a,1),7893(a,2,2,1,1))]. 7999 (x * K(y \ (K(z,u) * w),T(v5,w))) \ x = K(v5,(K(z,u) * w) / y). [para(2226(a,1),7915(a,1,1,2))]. 8000 K(x,K(y,z \ (u \ z))) = K(u,K(y,x)). [hyper(4179,a,7940,a)]. 8001 K(x,(y / ((z \ u) \ u)) / w) = K(x,(y / T(z,u)) / w). [hyper(230,a,5028,a(flip),b,7943,a),flip(a)]. 8002 K(x,(y / T(z,y)) / u) = K(x,(z \ y) / u). [para(69(a,1),8001(a,1,2,1)),flip(a)]. 8003 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(4590(a,1),7722(a,1,2,2))]. 8004 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / u)). [para(5(a,1),7969(a,2,2,2,2))]. 8006 K(x,y \ (z * u)) * K(x,K(z * u,y)) = K(x,(T(z,x) * u) / y). [para(7849(a,1),7562(a,1,2))]. 8007 K(x,(T(y,x) * z) / u) = K(x,(y * z) / u). [hyper(57,a,7505,a(flip),b,8006,a),flip(a)]. 8009 K((T(x,y) * z) * u,(x * z) * u) = K(R(x,z,u),K(z * u,y)). [para(311(a,1),7609(a,1,1))]. 8010 K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(R(x,z,u),y)). [hyper(230,a,3738,a,b,8009,a),flip(a)]. 8011 K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(L(x,z,u),y)). [para(6848(a,1),8010(a,2,2))]. 8012 K(x,K(y,z)) * K(z,T(y,u) \ (x / y)) = K(z,(x / y) / T(y,u)). [para(3748(a,1),7614(a,1,1))]. 8013 K(x,K(x \ y,z)) * K(z,(x \ y) / T(x,u)) = K(z,x \ (T(x,u) \ y)). [para(3736(a,1),7615(a,1,1))]. 8014 K(x,(y / z) \ T(u,y \ z)) = K(x,u / (z \ T(y,z \ 1))). [para(717(a,1),7726(a,1,2,1))]. 8015 K(x,(y / z) \ T(u,y \ z)) = K(x,u / (y / z)). [para(1039(a,1),8014(a,2,2,2))]. 8016 K(x,y / (z \ T(u,z \ 1))) = K(x,y / (u / z)). [hyper(57,a,8014,a(flip),b,8015,a)]. 8017 K(x,y / (T(z,u) / u)) = K(x,y / (u \ z)). [para(1025(a,1),8016(a,1,2,2,2)),flip(a)]. 8018 K(x,y / (z / T(u,z))) = K(x,y / (u \ z)). [para(723(a,1),8017(a,1,2,2))]. 8019 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(2169,a,7790,a),flip(a)]. 8020 K(x * y,K(z,u * w)) * K(z,(u * T(w,v5)) \ (T(x,v6) * y)) = K(z,(T(x,v6) * y) / (u * T(w,v5))). [para(7960(a,1),7857(a,1,1))]. 8021 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(7600,a,7911,a),flip(a)]. 8022 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(2487(a,1),8021(a,1,2,2,1))]. 8023 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(57,a,3927,a,b,8022,a)]. 8024 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(230,a,4605,a(flip),b,8023,a),flip(a)]. 8025 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(95(a,1),8023(a,1,2,2,2,2)),flip(a)]. 8026 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(8023(a,1),1843(a,1,1)),flip(a)]. 8027 T(T(x,K(y,y \ z)),(y \ z) * K(u,w)) = T(x,K(u,T(w,z)) * (z / y)). [para(7004(a,1),7922(a,1,2))]. 8028 K(x,K(y,(z * (u * K(w,v5))) * v6)) = K(x,K(y,v6 * (u * z))). [para(878(a,1),7952(a,2,2,2,2))]. 8029 K(x,K(y,z)) * K(z,(y \ x) / T(y,u)) = K(z,y \ (T(y,u) \ x)). [para(3748(a,1),8013(a,1,1))]. 8030 K(x,K(y,z)) * K(z,T(y,u) \ (x / y)) = K(z,y \ (T(y,u) \ x)). [para(7710(a,1),8029(a,1,2))]. 8031 K(x,(y / z) / T(z,u)) = K(x,z \ (T(z,u) \ y)). [hyper(57,a,8012,a(flip),b,8030,a)]. 8032 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(1974(a,2),8019(a,1,2))]. 8033 T(T(x,K(y,z)),(z \ y) * K(u,w)) = T(x,K(u,T(w,y)) * (y / z)). [para(3810(a,1),8027(a,1,1))]. 8034 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(2278,a,8032,a),flip(a)]. 8035 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,x) * u,w) * K(x,T(y,z)). [hyper(57,a,4181,a,b,8034,a)]. 8036 K(x,L(y,z,K(u,w)) \ ((y * z) * K(u,u * w))) = K(x,K(w,u) * z). [para(7033(a,1),7570(a,1,2,1))]. 8037 K(x,L(y \ (z * K(u,w)),z * K(u,w),K(w,u))) != v5 | K(x,(y \ K(u,w)) * z) = v5. [para(7677(a,2),5009(a,1))]. 8038 K(x,y * (z * (K(u,w) / v5))) != v6 | K(x,y * (z * (v5 \ K(u,w)))) = v6. [para(4737(a,1),7781(a,1,2,2,2))]. 8039 K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = a(y,z,K(x,K(z \ u,w))). [hyper(230,a,6730,a,b,7923,a),flip(a)]. 8040 K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = a(y,z,K(x,K(w,u / z))). [para(7442(a,1),8039(a,2,3))]. 8041 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(7870,a,8040,a)]. 8042 K(x,K(K(y,T(z,u)) * w,v5) * (v6 * (w * K(y,T(z,u))))) = K(x,v6 * T(T(K(y,T(z,u)) * w,v5),K(y,z))). [para(7635(a,2),7555(a,2,2,2))]. 8043 K(x,y * (K(z,T(u,w)) * (v5 * T(z,w)))) = K(x,y * (T(T(z,w),u) * T(v5,z))). [para(2226(a,1),7762(a,1,2,2,1))]. 8044 K(x,y * (T(T(z,u),w) * T(v5,z))) != v6 | K(x,y * (v5 * T(T(z,u),w))) = v6. [para(7762(a,1),7712(a,1))]. 8045 T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(7861(a,1),7865(a,1,2)),flip(a)]. 8046 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(230,a,7134,a(flip),b,8045,a),flip(a)]. 8048 T(x,y * K(K(z,u) * w,v5)) = T(x,K(w,v5) * y). [hyper(7591,a,8046,a)]. 8049 T(x * K(y,z),K(x,u) * w) = T(x * K(y,z),w). [hyper(3514,a,8046,a),flip(a)]. 8050 T(x,y * K(K(z,u) * w,v5)) = T(x,y * K(w,v5)). [hyper(230,a,7519,a(flip),b,8048,a),flip(a)]. 8051 T(x,y * K(z,T(u,w))) = T(x,K(z,u) * y). [para(3895(a,1),8048(a,1,2,2))]. 8052 T(x,K(y,T(z,u)) * w) = T(x,w * K(y,z)). [para(739(a,1),8051(a,1,2,2,2)),flip(a)]. 8053 T(x * K(y,z),u \ T(x,w)) = T(x * K(y,z),u \ x). [hyper(57,a,7529,a(flip),b,8049,a)]. 8054 K(x,y * K(K(z,u) * w,v5)) = (v6 \ x) \ (v6 \ T(x,y * K(w,v5))). [para(8050(a,1),4932(a,1,2,2)),flip(a)]. 8055 K(x * K(y,z),u \ T(x,w)) = (x * K(y,z)) \ T(x * K(y,z),u \ x). [para(8053(a,1),1589(a,2,2))]. 8056 K(x,y * K(K(z,u) * w,v5)) = K(x,y * K(w,v5)). [hyper(230,a,4932,a(flip),b,8054,a),flip(a)]. 8057 K(x,y * K(K(z,u) * y,w)) = K(x,T(y,w)). [para(1592(a,2),8056(a,2,2))]. 8058 K(x,(y / K(z,u)) * K(y * K(K(z,u),K(z,u) \ y),w)) = K(x,T(y / K(z,u),w)). [para(1721(a,2),8057(a,1,2,2,1))]. 8059 K(x * K(y,z),u \ T(x,w)) = K(x * K(y,z),u \ x). [hyper(230,a,1589,a,b,8055,a),flip(a)]. 8060 K(x * K(y,x),z \ T(x,u)) = K(x,T(z \ x,y)). [hyper(230,a,3894,a(flip),b,8059,a),flip(a)]. 8061 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [hyper(5360,a,8060,a)]. 8062 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(57,a,7982,a(flip),b,8061,a),flip(a)]. 8064 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(69(a,1),8062(a,1,2,1,1)),flip(a)]. 8065 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(57,a,3541,a,b,8064,a)]. 8066 K(x,T(y \ x,y * z)) = K(x,(y * z) \ (z * x)). [para(4(a,1),8065(a,1,2,2,1)),flip(a)]. 8067 K(x,(y * z) \ (z * x)) = K(x,T(y \ x,z)). [hyper(57,a,3189,a(flip),b,8066,a),flip(a)]. 8068 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(57,a,3589,a(flip),b,8067,a),flip(a)]. 8070 K(K(x \ y,z),(x * T(x \ y,z)) \ (y * u)) = K(u,K(x \ y,z)). [para(2096(a,1),7963(a,1,1))]. 8071 K(x \ y,K(z,(x * T(x \ y,z)) \ (y * u))) = K(u,K(x \ y,z)). [hyper(3832,a,8070,a)]. 8073 K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / ((y * z) / z)). [hyper(230,a,8016,a(flip),b,7993,a),flip(a)]. 8074 K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / y). [para(6(a,1),8073(a,2,2,2))]. 8075 K(x,K(y,z * ((u * w) * (u \ 1)))) = K(x,K(z * L(w,u,u \ 1),y)). [hyper(57,a,7901,a(flip),b,7894,a)]. 8077 T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = T(K(x,y) * K(z,u),z). [hyper(230,a,3462,a,b,7491,a),flip(a)]. 8079 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(4685(a,1),7542(a,1,2)),flip(a)]. 8080 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(230,a,4,a(flip),b,8079,a),flip(a)]. 8081 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(2028,a,8080,a),flip(a)]. 8083 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(8080(a,1),2028(a,1))]. 8084 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(5470(a,1),8081(a,1,1,1,2,1,2))]. 8085 K(x,T(y / (T(z,u) \ 1),T(z \ 1,u) * w)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [hyper(7586,a,7734,a)]. 8086 K(x,T(y,z * x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(4818(a,1),7742(a,1,2,1))]. 8087 K(x,T(y,z * x) / T(z \ 1,T(y,z * x) * z)) = K(x,y / (z \ 1)). [para(4818(a,1),8086(a,1,2,2,2,1))]. 8088 K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) = K(x,y / (z \ 1)). [para(5199(a,2),8087(a,1,2,2))]. 8089 K(x,T(y,z * x) / T(z \ 1,y * z)) = K(x,y / (z \ 1)). [hyper(57,a,7671,a(flip),b,8088,a)]. 8091 K(x,(y \ K(y * x,z)) \ z) = K(x,z / (y \ 1)). [para(5159(a,1),8089(a,1,2))]. 8092 K(x,(K(y,z * x) * z) * y) = K(x,y / (z \ 1)). [hyper(5010,a,8091,a)]. 8093 K(x,(y * K(z,x * y)) * z) = K(x,z / (y \ 1)). [para(1993(a,1),8092(a,1,2,1))]. 8094 K(x,y * T(z,x * y)) = K(x,z / (y \ 1)). [para(2475(a,1),8093(a,1,2))]. 8095 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(230,a,4745,a(flip),b,8094,a),flip(a)]. 8096 T(x,y * T(z,x * y)) = x * K(x,z * y). [para(8095(a,1),1592(a,2,2))]. 8097 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(230,a,1592,a,b,8096,a),flip(a)]. 8098 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(z,u)) = T(y,x * K(z,u)). [hyper(57,a,7132,a,b,8097,a)]. 8099 K(x,((y * (z * (u / z))) / y) / T(y,z * (u / z))) = K(x,(z * (u / z)) / y). [hyper(230,a,7593,a(flip),b,7750,a),flip(a)]. 8100 K(x,((y * (z * (u / z))) / y) / T(y,T(u,z))) = K(x,(z * (u / z)) / y). [para(3965(a,1),8099(a,1,2,2))]. 8101 K(x,((y * (z * (u / z))) / y) / T(y,u)) = K(x,(z * (u / z)) / y). [hyper(57,a,7671,a(flip),b,8100,a)]. 8103 K(x,y \ (T(y,z) \ (y * (u * (z / u))))) = K(x,(u * (z / u)) / y). [hyper(57,a,8031,a(flip),b,8101,a)]. 8104 K(x,y \ (K(z,y) * (u * (z / u)))) = K(x,(u * (z / u)) / y). [para(2192(a,1),8103(a,1,2,2))]. 8105 K(x,T(y,z) \ (u * (z / u))) = K(x,(u * (z / u)) / y). [para(2148(a,1),8104(a,1,2))]. 8106 K(x,T(y,z) \ T(z,u)) = K(x,(u * (z / u)) / y). [hyper(57,a,7165,a(flip),b,8105,a)]. 8107 K(x,(y * (z / y)) / u) = K(x,T(z,y) / u). [hyper(7703,a,8106,a),flip(a)]. 8108 K(x,(y / (y / z)) / u) = K(x,T(z,y) / u). [hyper(5457,a,8107,a)]. 8109 K(x,T(y \ z,y) / u) = K(x,(z / y) / u). [hyper(57,a,7764,a(flip),b,8107,a),flip(a)]. 8110 K(x,T(y * z,z) / u) = K(x,(z * y) / u). [para(6(a,1),8107(a,1,2,1,2)),flip(a)]. 8111 K(x,T(y \ z,z) / u) != w | K(x,(z / y) / u) = w. [para(8107(a,1),5456(a,1))]. 8112 K(x,(y \ T(z,y)) / u) = K(x,(z / y) / u). [para(685(a,1),8109(a,1,2,1))]. 8113 K(x,(((y \ z) \ 1) * z) / u) = K(x,(z * ((z / y) \ 1)) / u). [hyper(57,a,2460,a(flip),b,8110,a)]. 8114 K(x,y * (z * T(u * w,w \ 1))) = K(x,y * (z * (((u * w) \ u) \ u))). [hyper(7712,a,7755,a)]. 8115 K(x,y * (z * T(u * (w * K(v5,v6)),K(v5,L(v6,w,u)) \ 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). [para(4587(a,1),8114(a,1,2,2,2,1))]. 8116 K(x,K(y * z,u)) * K(u,(y * (z * K(w,v5))) \ x) = K(u,x / (y * (z * K(w,v5)))). [para(3753(a,1),7887(a,1,1))]. 8117 K(x,y * (K(z,T(u,w)) * K(v5,K(u,z) * w))) = K(x,y / (w \ T(K(u,z) * w,v5))). [para(2246(a,1),7988(a,1,2,2))]. 8118 K(x,y * (K(z,T(T(u,w * v5),w)) \ K(v5,K(z,T(u,w * v5)) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). [para(6991(a,1),7988(a,2,2,2,2))]. 8119 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [para(7520(a,1),8035(a,1,2,1)),flip(a)]. 8120 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(57,a,7495,a(flip),b,8119,a)]. 8121 K(x,(y * K(z,u)) * K(y * K(K(u,z),K(u,z) \ y),w)) = K(x,T(y / K(u,z),w)). [para(2166(a,1),8058(a,1,2,1))]. 8122 T(K(x,y) * K(z,u),z * K(y,x)) = T(K(x,y) * K(z,u),z). [para(2167(a,1),8077(a,1,1,2,1))]. 8123 K(x,T(y / (T(z,u) \ 1),T(z,u) \ w)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [para(4825(a,1),8085(a,1,2))]. 8124 K(x,T(y / (T(z,u) \ 1),w * T(z,u))) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [hyper(7586,a,8123,a)]. 8125 K(x,T(y / (T(z,u) \ 1),w * z)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [hyper(57,a,7799,a(flip),b,8124,a)]. 8127 K(x,T(y * T(z,u),w * z)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). [hyper(57,a,4859,a(flip),b,8125,a)]. 8128 K(x,T(y * z,u * y)) = K(x,T(T(y,z) \ 1,u) \ T(z,u)). [para(93(a,1),8127(a,1,2,1))]. 8129 K(x,T(y * z,u * y)) = K(x,T(T(y,z),u) * T(z,u)). [hyper(230,a,4775,a(flip),b,8128,a),flip(a)]. 8130 K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y * (z / T(z * K(u,w),v5))). [para(7984(a,1),8117(a,1,2,2)),flip(a)]. 8131 K(x,(y * K(z,u)) * K(y * K(K(u,z),K(z,u) * y),w)) = K(x,T(y / K(u,z),w)). [para(2129(a,1),8121(a,1,2,2,1,2,2))]. 8132 K(x,(y * K(z,u)) * K(y * K(u,K(z,K(z,u) * y)),w)) = K(x,T(y / K(u,z),w)). [para(3711(a,1),8131(a,1,2,2,1,2))]. 8133 K(x,(y * K(z,u)) * K(y,w)) = K(x,T(y / K(u,z),w)). [para(7657(a,1),8132(a,1,2,2))]. 8134 K(x,y * (K(z,u) * K(y,w))) = K(x,T(y / K(u,z),w)). [para(3090(a,1),8133(a,1,2))]. 8136 K(x,T(y / K(z,u),w)) = K(x,T(y,w) * K(u,z)). [hyper(57,a,7676,a(flip),b,8134,a),flip(a)]. 8137 K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). [para(2166(a,1),8136(a,1,2,1))]. 8138 x * K(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [para(8137(a,2),1592(a,2,2)),flip(a)]. 8139 T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [hyper(1607,a,8138,a)]. 8140 K((x * y) * R(T(T(z,x * y),u),x,y),(z * x) * y) = K((z * x) * y,K(x * y,u)). [para(22(a,2),7577(a,1,1,2))]. 8141 K(R(T(x,y),z,u) * (z * u),(x * z) * u) = K((x * z) * u,K(z * u,y)). [para(360(a,1),8140(a,1,1))]. 8142 K((T(x,y) * z) * u,(x * z) * u) = K((x * z) * u,K(z * u,y)). [para(89(a,1),8141(a,1,1))]. 8143 K(T(x * K(y,z),u) * K(z,y),w) = K(K(K(y,z) * x,u) * x,w). [para(2124(a,1),7560(a,1,1,2)),flip(a)]. 8144 K(T(x * K(y,z),u) * K(z,y),w) = K(x * K(K(y,z) * x,u),w). [hyper(230,a,7477,a(flip),b,8143,a),flip(a)]. 8145 K(K(x,y) * T(K(y,x) * z,u),w) = K(z * K(K(y,x) * z,u),w). [para(1928(a,1),8144(a,1,1))]. 8146 K(x,R(T(T(y * z,y) / y,u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),u)). [para(22(a,2),7733(a,1,2))]. 8147 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(18(a,1),8098(a,1,2,1,2))]. 8148 K(x,L(T(T(y * z,y) / y,u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),u)). [hyper(6868,a,8146,a)]. 8149 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(7550(a,1),8147(a,1,2))]. 8150 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(4157,a,8149,a)]. 8151 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(7818(a,2),8150(a,1,2))]. 8152 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(2255(a,1),8151(a,1,2,1))]. 8153 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(4845(a,1),8152(a,1,2))]. 8154 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(2129(a,1),8153(a,1,2))]. 8155 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(57,a,2697,a(flip),b,8154,a)]. 8156 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(57,a,8120,a(flip),b,8155,a)]. 8157 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(2140,a,8156,a),flip(a)]. 8158 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(8157(a,2),5059(a,2,2)),flip(a)]. 8159 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(57,a,5297,a(flip),b,8158,a),flip(a)]. 8160 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(57,a,2177,a(flip),b,8159,a),flip(a)]. 8161 ((x * K(y,z)) * u) / (K(y,z) * u) = L(x,K(y,z),u). [hyper(57,a,15,a(flip),b,8159,a)]. 8162 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(8159(a,1),89(a,1,1))]. 8163 (L(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,R(x,K(y,z),u * z)). [para(8159(a,1),3423(a,1,1,1))]. 8164 ((x * K(y,z)) * u) \ ((x * K(y,z)) * L(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). [para(8159(a,1),6290(a,1,2,2))]. 8165 x / (K(y,z) * (z \ 1)) = (x / (z \ 1)) * K(z,y). [hyper(1713,a,8160,a),flip(a)]. 8166 L((x / (y \ z)) * K(K(y,u),w),K(w,K(y,u)),y \ z) = x / (T(y,K(u,w)) \ z). [para(3741(a,1),8160(a,2,2))]. 8167 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(2134(a,1),8165(a,1,2)),flip(a)]. 8168 x / (T(y,y \ (x / (y \ 1))) \ 1) = y * ((x / (y \ 1)) / y). [hyper(57,a,1721,a(flip),b,8167,a),flip(a)]. 8169 ((x * K(y,z)) * (K(z,y) * u)) / u = L(x,K(y,z),K(z,y) * u). [para(2124(a,1),8161(a,1,2))]. 8170 (x * K(y,z)) * u != w * (K(y,z) * u) | L(x,K(y,z),u) = w. [para(8162(a,1),38(a,1))]. 8171 x / (T(y,(y \ x) * y) \ 1) = y * ((x / (y \ 1)) / y). [para(4834(a,1),8168(a,1,2,1))]. 8172 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [para(768(a,1),8171(a,1,2,1))]. 8173 K(x,T(T(T(y,T(z,u \ 1)) \ 1,u) \ z,u * (T(y,T(z,u \ 1)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [para(8172(a,1),8074(a,2,2))]. 8174 L((x / (y \ z)) * K(y,K(u,w)),K(w,K(y,u)),y \ z) = x / (T(y,K(u,w)) \ z). [para(3711(a,1),8166(a,1,1,2))]. 8175 ((x * K(y,z)) * u) \ ((x * K(y,z)) * L(u,K(y,z),x)) = a(u,K(y,T(z,x)),x). [para(2817(a,1),8164(a,1,2,2))]. 8176 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,T(z,x)),x). [para(81(a,1),8175(a,1,2))]. 8177 K(x,L(T(y \ (y * z),u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),u)). [para(677(a,1),8148(a,1,2,1,1))]. 8178 K(x,T(y,z) \ T(T(y * R(u,w,v5),y),z)) = K(x,L(T(u,z \ y),w,v5)). [para(4(a,1),8177(a,1,2,1,1)),flip(a)]. 8179 K(x,T(y,z) \ T(R(u,w,v5) * y,z)) = K(x,L(T(u,z \ y),w,v5)). [para(589(a,1),8178(a,1,2,2,1))]. 8180 K(x,L(T(y,z \ u),w,v5)) = K(x,T(R(y,w,v5),u * z)). [hyper(7743,a,8179,a),flip(a)]. 8181 K(x,R(T(y,z * u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [para(22(a,2),8180(a,2,2)),flip(a)]. 8182 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [hyper(6868,a,8181,a),flip(a)]. 8183 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [hyper(57,a,7554,a,b,8182,a)]. 8184 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(4(a,1),7950(a,1,2,2,1,1)),flip(a)]. 8185 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(7578,a,8184,a)]. 8187 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(24(a,1),8185(a,1,2,2,2))]. 8188 T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,(K(v5,T(v6,y \ z)) * z) / y). [hyper(4853,a,7544,a),flip(a)]. 8190 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(4403(a,1),7956(a,1,1))]. 8191 K(x,L(T(y,z),T(z,u),(T(z,u) * K(x,y)) \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). [para(6846(a,1),7561(a,1,1))]. 8192 K(x,(y \ ((z * u) / z)) * (w * K(y \ ((z * u) / z),w))) = K(x,w * (((z * u) / z) / T(y,u))). [para(7728(a,1),7995(a,1,2,2,2))]. 8193 K(x,y * (((z * u) / z) / T(w,u))) = K(x,y * (w \ ((z * u) / z))). [hyper(7705,a,8192,a),flip(a)]. 8195 K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,T(z,v6))))) = K(x,v5 * T(T(K(y,T(z,v6)) * u,w),K(y,z))). [para(7660(a,1),8042(a,1,2,1))]. 8197 K(x,y * (K(z,T(T(u,w),w * v5)) \ K(v5,K(z,T(u,w * v5)) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). [para(18(a,1),8118(a,1,2,2,1,2))]. 8198 K(x,y * (K(z,T(T(u,w),w * v5)) \ K(v5,K(z,u) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). [para(7648(a,1),8197(a,1,2,2,2))]. 8199 K(x,y * (K(T(z,u),T(w,u * v5)) * K(v5,K(w,z) * u))) = K(x,y / (u \ (T(u,v5) * K(w,z)))). [para(2246(a,1),8198(a,1,2,2))]. 8201 K(x,y * (K(z,T(T(u,w),w * v5)) * K(v5,K(u,z) * w))) = K(x,y / (w \ (T(w,v5) * K(u,z)))). [para(2231(a,1),8199(a,1,2,2,1))]. 8202 K(x,y * (K(z,T(u,w)) * K(v5,K(u,z) * w))) = K(x,y / (w \ (T(w,v5) * K(u,z)))). [hyper(7745,a,8201,a)]. 8204 K(x,y / (z \ (T(z,u) * K(w,v5)))) = K(x,y * (z / T(z * K(w,v5),u))). [para(7984(a,1),8202(a,1,2,2)),flip(a)]. 8205 K(x,y * (z / T(z * K(u,w),v5))) = K(x,y / (K(z,v5) * K(u,w))). [para(1773(a,1),8204(a,1,2,2)),flip(a)]. 8206 K(x,y * (z / T(z * K(u,w),v5))) = K(x,y * (K(z,v5) \ K(w,u))). [hyper(230,a,7718,a(flip),b,8205,a),flip(a)]. 8207 K(x,y * (z / T(z * K(u,w),v5))) = K(x,y * (K(v5,z) * K(w,u))). [para(2129(a,1),8206(a,2,2,2))]. 8208 K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y * (K(v5,z) * K(w,u))). [hyper(57,a,8130,a,b,8207,a)]. 8210 K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ y) * (u * K(y,T(z,x))),w). [hyper(230,a,2259,a(flip),b,7817,a),flip(a)]. 8211 K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ y) * (u * K(y,z)),w). [hyper(230,a,7777,a(flip),b,8210,a),flip(a)]. 8213 (L(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,L(x,K(y,z),u * z)). [para(8159(a,1),8163(a,2,3))]. 8214 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(7979(a,1),8084(a,1,1,1))]. 8215 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(8083,a,8214,a),flip(a)]. 8216 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(230,a,7802,a,b,8215,a),flip(a)]. 8217 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(57,a,8025,a,b,8216,a)]. 8218 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(7585,a,8217,a),flip(a)]. 8219 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(8218(a,1),8026(a,2,1))]. 8220 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(230,a,1843,a(flip),b,8219,a),flip(a)]. 8221 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(8220(a,1),978(a,1,1))]. 8222 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(57,a,978,a(flip),b,8221,a),flip(a)]. 8224 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(8222(a,1),2760(a,1,1,1)),flip(a)]. 8225 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(230,a,2760,a(flip),b,8224,a),flip(a)]. 8226 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(230,a,2226,a(flip),b,8225,a),flip(a)]. 8227 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(2416,a,8226,a)]. 8228 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(57,a,8023,a(flip),b,8227,a)]. 8229 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(57,a,8024,a(flip),b,8228,a),flip(a)]. 8230 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(57,a,4605,a(flip),b,8229,a)]. 8231 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(92(a,1),8230(a,1,2,2,1,1)),flip(a)]. 8233 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(57,a,7802,a(flip),b,8231,a)]. 8234 K(x,y) \ K(x,T(y,z / (u \ w))) = K(x,K(y,(u / w) * z)). [para(8233(a,2),3850(a,1,2))]. 8235 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(7819,a,8234,a)]. 8236 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(7914,a,8235,a),flip(a)]. 8237 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(3842,a,8235,a)]. 8238 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(8235(a,1),7890(a,1,1))]. 8239 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(7432,a,8236,a)]. 8240 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(5(a,1),8239(a,1,2,2,2,2)),flip(a)]. 8241 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(4642,a,8238,a),flip(a)]. 8242 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [hyper(57,a,8004,a(flip),b,8241,a),flip(a)]. 8243 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(72(a,1),8241(a,1,2,1,2)),flip(a)]. 8244 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(230,a,7836,a,b,8242,a),flip(a)]. 8245 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,z \ (y * u))). [hyper(230,a,7882,a(flip),b,8242,a),flip(a)]. 8246 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(8242(a,2),7896(a,1))]. 8247 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(4806(a,1),8244(a,1,2))]. 8248 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(8244(a,2),7896(a,1))]. 8249 K(x,K((y \ z) * u,L(w,y,z))) = K(x,K(w,y \ (z * u))). [hyper(57,a,7850,a(flip),b,8245,a)]. 8250 K(x,K(y \ (z \ u),L(w,z,u))) = K(x,K(w,z \ (u * (y \ 1)))). [hyper(57,a,7435,a(flip),b,8249,a)]. 8251 K(x,K(y,L(z \ (u \ w),u,w))) = K(x,K(y,u \ (w * (z \ 1)))). [hyper(4593,a,8250,a)]. 8252 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(7433,a,8243,a)]. 8255 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(8246,a,8252,a),flip(a)]. 8256 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(57,a,8247,a(flip),b,8255,a),flip(a)]. 8257 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(1501(a,2),8255(a,2,2,2,1))]. 8258 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(4807(a,1),8257(a,1,2))]. 8259 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(8246,a,8258,a),flip(a)]. 8260 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(57,a,8237,a(flip),b,8259,a)]. 8261 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(57,a,7898,a(flip),b,8260,a)]. 8262 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(7949,a,8261,a)]. 8264 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(57,a,7951,a(flip),b,8261,a),flip(a)]. 8265 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(7964,a,8262,a)]. 8266 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(7884,a,8264,a)]. 8267 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(57,a,8256,a,b,8264,a)]. 8268 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(57,a,7868,a(flip),b,8264,a),flip(a)]. 8269 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(57,a,7120,a,b,8266,a)]. 8270 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(2315(a,1),8266(a,1,2,2))]. 8271 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(5530(a,1),8266(a,1,2,2,2,1)),flip(a)]. 8272 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(7884,a,8267,a)]. 8273 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(57,a,7246,a(flip),b,8269,a)]. 8274 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(3979(a,1),8270(a,1,2)),flip(a)]. 8275 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(230,a,8272,a(flip),b,8271,a),flip(a)]. 8277 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(57,a,8265,a(flip),b,8275,a)]. 8278 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(7896,a,8277,a)]. 8280 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(57,a,7927,a(flip),b,8277,a)]. 8281 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(3842,a,8280,a)]. 8282 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(93(a,1),8280(a,1,2,2,2)),flip(a)]. 8283 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(57,a,8041,a(flip),b,8281,a),flip(a)]. 8284 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(7428,a,8283,a)]. 8285 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(230,a,4674,a,b,8283,a),flip(a)]. 8286 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(8283(a,1),3739(a,1))]. 8287 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(7(a,1),8284(a,1,2,2,2,2))]. 8288 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(57,a,7898,a(flip),b,8282,a),flip(a)]. 8290 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(57,a,7908,a,b,8288,a)]. 8291 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(57,a,7503,a(flip),b,8290,a),flip(a)]. 8292 K(x,K(T(y,z),L(u,w * K(y,z),v5))) = K(x,K(u,(v5 * (w * K(y,z))) * ((y / w) / v5))). [para(4946(a,1),8291(a,1,2,2,2,1)),flip(a)]. 8293 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(7(a,1),8285(a,2,2))]. 8294 K(x,K(y,(z * (u * K(w,v5))) * ((w / u) / z))) = K(x,K(y,L(w,u * K(w,v5),z))). [hyper(7449,a,8292,a),flip(a)]. 8295 K(x,K(y,(z * (u * K(w,v5))) * (z \ (w / u)))) = K(x,K(y,L(w,u * K(w,v5),z))). [hyper(57,a,7840,a(flip),b,8294,a)]. 8296 K(x,K(y,(z * (u * K(w,v5))) * (z \ (w / u)))) = K(x,K(y,L(w,u,z))). [para(4268(a,1),8295(a,2,2))]. 8297 K(x,K(y,(z * (u * K(w,v5))) * (z \ (u \ w)))) = K(x,K(y,L(w,u,z))). [hyper(57,a,7889,a(flip),b,8296,a)]. 8299 K(x,K(y,(z \ (u \ w)) * (u * z))) = K(x,K(y,L(w,u,z))). [hyper(57,a,8028,a(flip),b,8297,a)]. 8301 K(x,K(y,((z \ u) / w) * (z * w))) = K(x,K(y,L(u,z,w))). [hyper(57,a,7831,a,b,8299,a)]. 8302 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(230,a,3792,a(flip),b,8274,a),flip(a)]. 8303 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(57,a,8239,a(flip),b,8302,a),flip(a)]. 8305 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(230,a,8237,a(flip),b,8303,a),flip(a)]. 8306 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(7904,a,8305,a)]. 8307 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(204(a,1),8305(a,1,2,2,2))]. 8309 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(230,a,7830,a(flip),b,8307,a),flip(a)]. 8311 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(57,a,8187,a(flip),b,8309,a),flip(a)]. 8313 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(89(a,1),8311(a,1,2,2)),flip(a)]. 8314 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(57,a,7828,a,b,8313,a)]. 8315 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(7858,a,8314,a),flip(a)]. 8316 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(57,a,7892,a(flip),b,8314,a)]. 8317 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(7858,a,8315,a),flip(a)]. 8318 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(7904,a,8317,a)]. 8319 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(57,a,8268,a(flip),b,8317,a),flip(a)]. 8320 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(57,a,7888,a(flip),b,8317,a),flip(a)]. 8321 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(57,a,8306,a(flip),b,8319,a)]. 8322 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(230,a,7897,a(flip),b,8320,a),flip(a)]. 8323 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(230,a,7892,a(flip),b,8316,a),flip(a)]. 8324 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(230,a,8278,a(flip),b,8323,a),flip(a)]. 8325 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(3842,a,8324,a)]. 8326 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(5109(a,2),8325(a,1,2,2)),flip(a)]. 8327 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(2468(a,1),8322(a,1,2,2,2))]. 8328 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(57,a,7837,a(flip),b,8327,a)]. 8330 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(57,a,8328,a(flip),b,8321,a)]. 8331 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(57,a,8291,a(flip),b,8330,a),flip(a)]. 8332 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(57,a,7176,a(flip),b,8331,a)]. 8333 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(230,a,6873,a,b,8326,a),flip(a)]. 8334 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(7872,a,7968,a),flip(a)]. 8336 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(6852(a,1),8334(a,2,2))]. 8337 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(230,a,7930,a(flip),b,8336,a),flip(a)]. 8339 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(57,a,7909,a(flip),b,8337,a)]. 8341 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(57,a,7883,a(flip),b,8339,a)]. 8342 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(57,a,7848,a(flip),b,8341,a),flip(a)]. 8343 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(4657,a,8342,a)]. 8345 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(4753(a,1),8342(a,1,2,2,2))]. 8346 L(K(x,K(y,z)),K(u,w) * v5,v6) = L(K(x,K(y,z)),v5,v6). [hyper(230,a,4604,a,b,8343,a),flip(a)]. 8347 a(x,K(y,z) * u,K(w,K(v5,v6))) = L(K(x,K(v5,v6)),u,w) / K(x,K(v5,v6)). [para(8346(a,1),6884(a,1,1)),flip(a)]. 8348 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(230,a,8332,a(flip),b,8345,a),flip(a)]. 8349 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(8348(a,1),8190(a,1,1)),flip(a)]. 8350 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(230,a,6884,a(flip),b,8347,a),flip(a)]. 8351 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(1648(a,1),8350(a,1,2))]. 8352 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(3745(a,1),8349(a,2,2))]. 8354 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(230,a,7766,a(flip),b,8352,a),flip(a)]. 8355 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(4441(a,1),8354(a,2,1))]. 8356 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(230,a,7771,a(flip),b,8355,a),flip(a)]. 8357 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(7955(a,1),8356(a,1,2))]. 8358 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(3745(a,1),8357(a,1,3))]. 8359 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(57,a,4648,a(flip),b,8358,a)]. 8360 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(136(a,1),8359(a,1,2,1))]. 8361 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(57,a,8333,a,b,8360,a)]. 8362 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(57,a,6990,a(flip),b,8360,a)]. 8363 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(230,a,6821,a,b,8362,a),flip(a)]. 8364 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(3736(a,1),8361(a,2,3))]. 8365 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(4849(a,1),8364(a,1,2,2,2,1))]. 8366 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u * (T(y,T(z,u \ 1)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [para(3964(a,1),8173(a,1,2,1,1,1,1))]. 8367 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u * (T(y,T(z,u)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [para(3964(a,1),8366(a,1,2,2,2,1))]. 8368 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u / T(y,T(z,u)))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [para(4819(a,1),8367(a,1,2))]. 8369 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u / T(y,z))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [para(7637(a,1),8368(a,1,2))]. 8370 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,T(y,z) \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [hyper(7551,a,8369,a)]. 8372 K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,y \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [hyper(57,a,7801,a(flip),b,8370,a)]. 8374 K(x,T(T(T(y,T(z,u)),u) * z,y \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). [hyper(57,a,4862,a(flip),b,8372,a)]. 8375 K(x,T(T(T(y,z),T(u,z)) * u,y \ z)) = K(x,y * ((T(u,z \ 1) / (y \ 1)) / y)). [para(18(a,1),8374(a,1,2,1,1))]. 8376 K(x,T(T(T(y,z),u) * u,y \ z)) = K(x,y * ((T(u,z \ 1) / (y \ 1)) / y)). [hyper(7936,a,8375,a)]. 8377 K(x,T(y * T(z,u),z \ u)) = K(x,z * ((T(y,u \ 1) / (z \ 1)) / z)). [hyper(57,a,4038,a(flip),b,8376,a)]. 8378 K(x,T(T(y,z \ 1) / (u \ 1),u)) = K(x,T(y * T(u,z),u \ z)). [hyper(230,a,3881,a(flip),b,8377,a)]. 8379 K(x,T(y * T(z,u),z \ u)) = K(x,z * T(y,u \ 1)). [hyper(5008,a,8378,a),flip(a)]. 8380 K(x,T(y * T(z,u),u * z)) = K(x,z * T(y,u \ 1)). [hyper(7586,a,8379,a)]. 8381 K(x,(y * z) * R(u,z,y)) = K(x,y * T(u * z,z \ 1)). [hyper(57,a,7594,a(flip),b,8380,a)]. 8382 K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). [hyper(230,a,7937,a(flip),b,8381,a),flip(a)]. 8383 K(x,(y * (y \ z)) * R(T(u,z),y \ z,y)) = K(x,L(u,y \ z,y) * z). [para(389(a,1),8382(a,2,2))]. 8384 K(x,T((y * z) * T(u,z),y)) = K(x,u * (z * y)). [para(6323(a,2),8382(a,1,2))]. 8385 K(x,T((y * z) * T(u,z),y)) = K(x,(u * z) * R(y,z,u)). [hyper(230,a,8382,a,b,8384,a),flip(a)]. 8386 K(T((x * y) * T(z,y),x),u) = w / (K(u,z * (y * x)) * w). [para(8384(a,1),2131(a,1,2,1)),flip(a)]. 8387 K(x,T((y * z) * T(u,z),y)) = K(x,(u * z) * R(y,z,T(u,z))). [para(2640(a,2),8385(a,2,2,2))]. 8388 K(T((x * y) * T(z,y),x),u) = K(z * (y * x),u). [hyper(230,a,2131,a(flip),b,8386,a),flip(a)]. 8389 K((x * y) * T(z,y),T(u,x)) = K(z * (y * x),u). [hyper(2416,a,8388,a)]. 8390 K((x * y) * R(z,y,x),u) = K(x * (y * z),u). [para(6323(a,1),8388(a,1,1))]. 8391 K((((x * y) \ z) * y) * (z / (y * ((x * y) \ z))),u) = K(((x * y) \ z) * (y * x),u). [para(88(a,1),8390(a,1,1,2))]. 8392 K(x,T((T(y,z) / u) * T(w,y / u),K(y,z))) = K(x,(w * (y / u)) * R(K(y,z),y / u,T(w,y / u))). [para(4903(a,1),8387(a,1,2,1,1))]. 8393 K(x,y * R(T(z,y),u \ y,u)) = K(x,L(z,u \ y,u) * y). [para(5(a,1),8383(a,1,2,1))]. 8395 K(x,R(y,z \ u,z) * u) = K(x,L(y,z \ u,z) * u). [para(190(a,1),8393(a,1,2))]. 8396 K(x,L(y,z \ u,z) * u) = K(x,(y * (u / z)) * z). [para(2679(a,1),8395(a,1,2)),flip(a)]. 8397 K(L(x,y \ z,y) * z,u) = w / (K(u,(x * (z / y)) * y) * w). [para(8396(a,1),2131(a,1,2,1)),flip(a)]. 8398 K(L(x,y \ z,y) * z,u) != w | K((x * (z / y)) * y,u) = w. [para(8397(a,2),1783(a,1))]. 8399 K(x * K((y * z) \ x,z),T(u,z * ((y * z) \ x))) = K(((y * z) \ x) * (z * y),u). [hyper(57,a,7592,a(flip),b,8391,a)]. 8400 K(x * K(y \ (z \ x),z),T(u,z * ((y * z) \ x))) = K(((y * z) \ x) * (z * y),u). [para(3647(a,1),8399(a,1,1,2))]. 8401 K(x,(y * (z / u)) * R(K(z,w),z / u,T(y,z / u))) = K(x,(T(z,w) / u) * T(y,z / u)). [hyper(7476,a,8392,a),flip(a)]. 8403 K(x,(y * (z / u)) * R(K(z,w),z / u,T(y,z / u))) = K(x,(T(z,w) / u) * T(y,u \ z)). [hyper(230,a,7668,a(flip),b,8401,a),flip(a)]. 8404 K(x,(y * (z / u)) * K(z,L(w,z / u,T(y,z / u)))) = K(x,(T(z,w) / u) * T(y,u \ z)). [para(6846(a,1),8403(a,1,2,2))]. 8405 K(x,(y * (z / u)) * K(z,L(w,z / u,y))) = K(x,(T(z,w) / u) * T(y,u \ z)). [para(2837(a,1),8404(a,1,2,2,2))]. 8406 K(x,(T(y,z) / u) * T(w,u \ y)) = K(x,w * ((y / u) * K(y,z))). [para(4587(a,1),8405(a,1,2)),flip(a)]. 8407 K(x,(T(y,z) / u) * T(w,u \ y)) != v5 | K(x,w * (T(y,z) / u)) = v5. [para(8406(a,2),7713(a,1))]. 8408 (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * a(z,z,L(y,u,w))) * (y * (z * ((y * z) \ 1))). [para(7198(a,2),6598(a,2,1,2))]. 8409 a(x,y \ z,K(z * (y \ u),T(y,w))) * K(x,T((((w * y) / w) \ z) * y,K(y,w)) / ((u \ 1) * T(y,w))) = K(x,(y \ z) * u). [para(7103(a,1),7254(a,1,1,3))]. 8410 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(612(a,1),8365(a,1,2,2,2,1,2))]. 8411 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(4811(a,1),8410(a,1,2))]. 8412 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(2540(a,1),8411(a,1,2,2,1))]. 8413 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(57,a,8318,a(flip),b,8412,a)]. 8414 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(57,a,7886,a(flip),b,8413,a)]. 8416 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(2178(a,1),8414(a,2,3,2))]. 8417 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(7825(a,1),8416(a,2,3))]. 8418 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(57,a,8287,a(flip),b,8417,a)]. 8420 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(69(a,1),8418(a,1,3,2,1))]. 8421 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8240(a,1),8420(a,1,3))]. 8422 a(x,y \ z,K(y,K(u,z \ w))) = a(w,y \ z,K(x,K(u,z))). [para(7426(a,1),8421(a,1,3))]. 8423 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,z \ x))). [hyper(6907,a,8422,a),flip(a)]. 8424 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,z \ x))). [para(3753(a,1),8423(a,1,3))]. 8425 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,y \ x))). [hyper(57,a,8351,a,b,8424,a)]. 8426 a(x,y,K(z,K(u,y \ w))) = a(y,z,K(x,K(w,u))). [hyper(57,a,8363,a(flip),b,8425,a),flip(a)]. 8427 a(x,y,K(z,K(u,y \ w))) = a(y,z,K(w,K(x,u))). [para(3738(a,1),8426(a,2,3))]. 8428 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7437(a,2),8427(a,1,3))]. 8429 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(8286,a,8428,a)]. 8430 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(3736(a,2),8429(a,2,3))]. 8431 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(57,a,8293,a(flip),b,8430,a)]. 8432 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(3790(a,1),8431(a,1,3))]. 8433 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(3753(a,1),8432(a,2,3))]. 8434 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(57,a,8428,a(flip),b,8433,a),flip(a)]. 8435 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(8434(a,1),6837(a,1,1))]. 8436 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(57,a,7109,a(flip),b,8435,a),flip(a)]. 8437 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,w,u))). [hyper(4642,a,8436,a)]. 8438 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(4594,a,8436,a)]. 8439 (x * y) * K(z,K(u,L(w,x,y))) = x * (y * K(z,K(w,u))). [para(8436(a,1),81(a,1,2))]. 8440 K(x,K(y,L(z \ (u \ w),u,w))) = K(y,K(x,(u * z) \ w)). [hyper(230,a,6895,a(flip),b,8437,a),flip(a)]. 8441 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(230,a,8273,a(flip),b,8438,a),flip(a)]. 8442 (K(x,K(y,z)) * u) * w = u * (w * K(y,K(x,z))). [hyper(57,a,7511,a(flip),b,8439,a)]. 8443 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(7458(a,1),8442(a,1,1))]. 8444 L(x,K(y,K(z,u)),w) = x. [hyper(7515,a,8443,a)]. 8445 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(7450(a,2),8443(a,2,2))]. 8446 (x / (y \ z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) \ z). [hyper(57,a,8174,a(flip),b,8444,a),flip(a)]. 8447 ((x * (K(y,K(z,u)) * w)) * v5) / (w * v5) = R(x * K(y,K(z,u)),w,v5). [para(8445(a,1),15(a,2,1,1)),flip(a)]. 8449 K(x,y / (T(z,K(u,w)) \ v5)) = K(x,y / (z \ v5)). [para(8446(a,1),7642(a,1,2))]. 8450 K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y / (T(z,u) \ v5)). [para(3601(a,1),8449(a,1,2,2,1))]. 8451 K(x,y / T(K(z,u) * K(K(z,u) * w,v5),w)) = K(x,y / (w \ T(w * K(z,u),v5))). [para(7749(a,2),8449(a,1,2,2))]. 8452 K(x,K(y,z \ (u * (w \ 1)))) = K(y,K(x,(z * w) \ u)). [hyper(57,a,8251,a(flip),b,8440,a)]. 8453 K(x,K(y,(z * (u \ 1)) \ w)) = K(y,K(x,(w * u) \ z)). [hyper(3843,a,8452,a)]. 8454 K(x,K(y,(z * (u \ 1)) \ w)) = K(x,K(z \ (w * u),y)). [hyper(230,a,3726,a,b,8453,a),flip(a)]. 8455 K(x,K(y,z * (u * (w \ 1)))) = K(x,K(u \ (z * w),y)). [hyper(7579,a,8454,a)]. 8456 K(x,K(y,z * (u * (w \ 1)))) = K(x,K(y,(w * z) \ u)). [hyper(230,a,7867,a(flip),b,8455,a),flip(a)]. 8457 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(8248,a,8441,a)]. 8458 K(x,K(y,z \ (u * w))) = K(x,K(y,(u / z) * w)). [hyper(7446,a,8457,a)]. 8459 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,w \ (u * z))). [hyper(230,a,8306,a,b,8458,a)]. 8460 K(x,K(y,z * (u * (w \ 1)))) = K(x,K(y,w \ (u * z))). [para(613(a,1),8459(a,1,2,2,2,2))]. 8461 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w * u))). [hyper(57,a,8456,a(flip),b,8460,a)]. 8462 K(x,K(y,(z * u) \ w)) = K(y,K(x,z \ (w * u))). [hyper(3739,a,8461,a)]. 8463 K(x,K(y,(z * u) \ w)) = K(y,K(x,z * (w * u))). [hyper(230,a,7421,a(flip),b,8462,a),flip(a)]. 8464 K(x,K(y,(z * u) * w)) = K(y,K(x,z * (w * u))). [hyper(7422,a,8463,a)]. 8465 K(x,K(y,(z / u) * (w * u))) = K(y,K(x,z * w)). [para(7(a,1),8464(a,1,2,2,1)),flip(a)]. 8466 K(x,K(y,L(z,u,w))) = K(y,K(x,(u \ z) * u)). [hyper(57,a,8301,a(flip),b,8465,a)]. 8469 K(x,K(y,L(z,u,w))) = K(y,K(z,x)). [hyper(230,a,7431,a(flip),b,8466,a),flip(a)]. 8470 K(x,L(K(y,z),u,w)) = K(x,K(y,z)). [hyper(4696,a,8469,a)]. 8473 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(230,a,3736,a(flip),b,8469,a),flip(a)]. 8474 K(x,K(y,(z * u) \ w)) = K(x,K(y,u \ (z \ w))). [hyper(57,a,6895,a(flip),b,8469,a)]. 8475 a(x,y,K(z,K(u,w))) = 1. [hyper(99,a,8469,a(flip),b,7107,a),flip(a)]. 8476 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(8469(a,2),3787(a,1))]. 8477 (K(x,K(y,z)) * u) * w = K(z,K(x,y)) * (u * w). [para(8469(a,1),6921(a,1,1)),flip(a)]. 8479 a(K(x,K(y,z)),u,w) = 1. [hyper(57,a,6687,a,b,8475,a)]. 8480 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(46,a,8475,a)]. 8481 a(x,y,K(z,K(u,w))) * v5 = v5. [para(8475(a,2),2(a,1,1))]. 8482 L(x,y,K(z,K(u,w))) = x. [hyper(46,a,8479,a)]. 8483 (K(x,K(y,z)) * ((z * u) * w)) * 1 = (T(z,K(x,y)) * u) * w. [para(8479(a,1),3983(a,1,2))]. 8484 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(7045,a,8482,a)]. 8485 T(x,a(y,z,K(u,w))) = x. [hyper(57,a,7016,a(flip),b,8482,a),flip(a)]. 8486 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(57,a,298,a(flip),b,8482,a),flip(a)]. 8487 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(8482(a,1),44(a,2))]. 8488 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [para(8482(a,1),327(a,1,2,2))]. 8489 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))). [para(8482(a,1),285(a,1,2,2))]. 8490 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [para(8482(a,1),7018(a,1,1)),flip(a)]. 8491 L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. [para(8482(a,1),7049(a,2))]. 8492 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(8482(a,1),7034(a,1,1)),flip(a)]. 8493 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(57,a,6794,a(flip),b,8485,a)]. 8494 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(48,a,8485,a)]. 8495 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(8485(a,1),216(a,1,2))]. 8496 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(8485(a,1),651(a,1)),flip(a)]. 8497 T(x,K(a(y,z,u),w)) = x. [para(4865(a,1),8485(a,1,2))]. 8498 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(8497(a,1),7134(a,1,2,1,2))]. 8499 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(6968,a,8481,a)]. 8500 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [hyper(4873,a,8481,a),flip(a)]. 8501 T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(y,z) * w)). [para(298(a,1),8493(a,1,2)),flip(a)]. 8502 K(x,y \ (z * K(u,w))) = K(x,(y \ K(u,w)) * z). [hyper(8037,a,8499,a),flip(a)]. 8504 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(4645,a,8499,a)]. 8505 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(57,a,4653,a(flip),b,8499,a)]. 8508 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(3000(a,1),8499(a,1,2))]. 8509 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(3284(a,1),8499(a,1,2))]. 8510 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(8499(a,1),4587(a,1,2))]. 8511 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(7026(a,1),8499(a,1,2))]. 8512 (K(x,y) / z) * K(u,w) = K(x,y) * (z \ K(u,w)). [para(8499(a,1),7295(a,1,2))]. 8514 K(x,y) * ((x * z) * K(u,T(w,T(x,y) * z))) = K(u,w) * (T(x,y) * z). [para(8504(a,1),6961(a,1,1))]. 8515 ((x / (y * z)) * z) \ (x * K(z,y)) = L(y,z,(y * z) \ x). [hyper(57,a,5250,a(flip),b,8484,a)]. 8516 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [para(589(a,1),8484(a,1,3)),flip(a)]. 8517 L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). [para(3601(a,1),8484(a,1,3))]. 8518 R(x,y,K(z,K(u,w))) != v5 | x = v5. [para(7020(a,2),8487(a,1))]. 8520 K(x,K((y \ z) \ u,w)) = K(x,K(z \ (y * u),w)). [para(2782(a,1),8470(a,1,2)),flip(a)]. 8521 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(4395(a,1),8470(a,1,2)),flip(a)]. 8523 K(x,K(L(y,z,u),w)) = K(x,K(w,y)). [hyper(3781,a,8473,a)]. 8525 K((x * y) * z,K(u,T(x,y * z))) = K((x * y) * z,K(y * z,u)). [hyper(57,a,6866,a(flip),b,8473,a),flip(a)]. 8526 T(x,K(y,L(z,u,w))) = x * K(y,K(x,z)). [para(8473(a,1),3770(a,1,2)),flip(a)]. 8527 K(x,K(y,z)) * K(x,L(z,u,w)) = T(K(x,L(z,u,w)),y). [para(8473(a,1),3856(a,1,1))]. 8528 K(x,K((y * z) \ u,w)) = K(x,K(z \ (y \ u),w)). [para(4631(a,1),8473(a,1,2))]. 8531 K((x \ y) \ z,K(u,w)) = K(y \ (x * z),K(u,w)). [hyper(57,a,2782,a(flip),b,8480,a),flip(a)]. 8532 (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8480(a,1),219(a,1,2))]. 8533 K(x,T(y * (L(y,z,u) \ w),y)) = K(x,(y * w) / L(y,z,u)). [hyper(5367,a,8511,a),flip(a)]. 8534 K(x,T(y * L(z,u,w),z)) = K(x,L(z,u,w) * y). [hyper(5021,a,8511,a),flip(a)]. 8535 K(x,T(y,(z * u) \ w)) = K(x,T(y,u \ (z \ w))). [para(222(a,1),8511(a,1,2,2))]. 8536 K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). [para(298(a,1),8511(a,1,2,2)),flip(a)]. 8537 K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(y,x)). [hyper(57,a,8011,a,b,8523,a)]. 8538 T(K(a(x,y,z),u),w) = a(x,y,K(z,u)). [para(4865(a,1),8494(a,1,1))]. 8539 (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (z * a(u,w,K(v5,v6))). [para(8494(a,1),7015(a,1,2,2)),flip(a)]. 8540 K(x,R(y,z,T(u,w))) = K(x,L(y,z,u)). [hyper(57,a,6851,a,b,8508,a)]. 8542 (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,x))) = L(y,x,x \ 1) * K(z,u). [para(8508(a,1),7363(a,1,2,2))]. 8544 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(57,a,4868,a,b,8538,a)]. 8546 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(230,a,6683,a,b,8544,a),flip(a)]. 8549 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(95(a,1),8544(a,1,3,2)),flip(a)]. 8551 a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). [para(2235(a,1),8544(a,1,3)),flip(a)]. 8552 T(x,a(T(y,z),u,w)) = x * a(x,u,K(w,y)). [para(8544(a,1),6714(a,1,2)),flip(a)]. 8553 a(x,y,K(z,T(u,w))) != v5 | a(z,y,K(u,x)) = v5. [para(8544(a,2),6684(a,1))]. 8554 a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(u \ v5,v5,K(T(x,z),w)). [hyper(57,a,6874,a,b,8546,a)]. 8555 a(x,T((y \ x) \ 1,x),K(z,u)) = a(u,y,K(((y \ x) \ 1) \ y,z)). [hyper(57,a,5453,a(flip),b,8546,a),flip(a)]. 8556 a(x,y,K(z * u,w)) = a(w,y,K(x,u * z)). [para(589(a,1),8546(a,1,3,2)),flip(a)]. 8557 a(x * y,z,K(u,w)) = a(w,z,K(y * x,u)). [para(2229(a,1),8546(a,1,3)),flip(a)]. 8558 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(8546(a,2),6775(a,1))]. 8559 L(x,y,K(z,u) * w) != v5 | L(x,y,w * K(z,u)) = v5. [para(1789(a,1),8491(a,1,3))]. 8561 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(230,a,3770,a(flip),b,8526,a),flip(a)]. 8562 x * K(y \ (z \ u),K(x,w)) = T(x,K((z * y) \ u,w)). [para(4631(a,1),8526(a,1,2)),flip(a)]. 8563 x \ T(y * T(x,K(z,u)),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). [para(8561(a,1),7169(a,1,2,1,2))]. 8564 K(x,K((y * z) \ u,w)) != v5 | K(x,K(z \ (y \ u),w)) = v5. [para(4631(a,1),8476(a,1,2))]. 8565 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(7273(a,1),8476(a,1,2))]. 8566 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(6721,a,8490,a),flip(a)]. 8567 (x * y) * a(z,u,K(w,x)) = T(x,a(w,u,z)) * y. [hyper(6720,a,8490,a),flip(a)]. 8568 (x * y) * a(z,u,K(x,w)) = T(x,a(z,u,w)) * y. [hyper(4972,a,8490,a),flip(a)]. 8569 x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. [hyper(230,a,6704,a,b,8490,a)]. 8570 a(x,y,K(z,u)) * (w / z) = w / T(z,a(u,y,x)). [hyper(230,a,6733,a(flip),b,8490,a),flip(a)]. 8571 a(x,y,K(z,u)) * (w * u) = w * T(u,a(z,y,x)). [hyper(230,a,6718,a(flip),b,8490,a),flip(a)]. 8572 a(x,y,K(z,u)) * (w * z) = w * T(z,a(x,y,u)). [hyper(230,a,4973,a(flip),b,8490,a),flip(a)]. 8573 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(57,a,6705,a,b,8490,a)]. 8574 a(x,y,K(z,u)) * w = w * a(K(u,z),y,x). [para(6693(a,2),8490(a,2,2))]. 8575 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(8490(a,1),6886(a,1))]. 8576 (x * y) * a(x,z,K(u,w)) != v5 | T(x,a(w,z,u)) * y = v5. [para(8490(a,1),6721(a,1))]. 8578 a(x,y,K(z,u \ w)) * K(z,x) = K(z,L(x,y,w / u)). [hyper(230,a,6712,a,b,8509,a)]. 8579 a(x,y,K(z,u \ y)) * (K(x,T(z,y)) * u) = (y * K(x,z)) * (y \ u). [para(8549(a,1),7293(a,1,1))]. 8580 T(x,a(T(y,z),u,w)) = T(x,a(y,u,w)). [hyper(230,a,6714,a(flip),b,8552,a),flip(a)]. 8582 T(a(T(x,y),z,u) * w,a(x,z,u)) != v5 | w * a(T(x,y),z,u) = v5. [para(8580(a,1),738(a,1))]. 8583 a(x,y,K(z * u,w)) != v5 | a(u * z,y,K(w,x)) = v5. [para(8556(a,2),6775(a,1))]. 8584 a(x,y,K(z * u,w)) != v5 | a(w,y,K(x,u * z)) = v5. [para(8557(a,1),6684(a,1))]. 8585 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(108,a,8569,a)]. 8586 L(x,y,z) * a(u,y,K(x,z)) = L(x,y,T(z,u)). [hyper(57,a,7113,a(flip),b,8573,a),flip(a)]. 8587 a(x,y,K(z,u * x)) * w = w * a(K(x,u),y,z). [para(6699(a,2),8574(a,1,1))]. 8588 a(x,y,K(z,u / w)) != v5 | a(x,y,K(z,w \ u)) = v5. [para(742(a,1),8558(a,1,3,2))]. 8589 a(T(x,y),z,K(u,w)) != v5 | a(u,z,K(w,x)) = v5. [para(6683(a,1),8558(a,1))]. 8591 x * T(x \ L(x,y,z),u) = L(x,y,T(z,u)). [hyper(6790,a,8586,a)]. 8593 (x \ 1) * T((x \ 1) \ L(x \ 1,y \ 1,z \ 1),u) = R(x,y,T(z,u)) \ 1. [hyper(230,a,5749,a(flip),b,8591,a),flip(a)]. 8594 T(x \ L(x,y,z),u) = x \ L(x,y,T(z,u)). [hyper(101,a,8591,a),flip(a)]. 8595 T(((x / y) * L(y,z,u)) \ x,w) = ((x / y) * L(y,z,T(u,w))) \ x. [para(8591(a,1),3236(a,1,1,2)),flip(a)]. 8596 (x * (y * (y \ L(y,z,u)))) * K(y \ L(y,z,u),L(w,y,x)) = x * L(y,z,T(u,w)). [para(8591(a,1),4638(a,2,2))]. 8597 x * T(x \ L(x,y,z),u) != w | L(x,y,T(z,u)) = w. [para(8594(a,2),203(a,1,2))]. 8598 x / L(T(y \ L(y,z,u),w),y,L(y,z,T(u,w)) \ x) = (x / L(y,z,T(u,w))) * y. [para(8594(a,2),4983(a,1,2,1))]. 8599 T(x \ L(x,x,y),z) = x \ L(x,x,y). [para(7055(a,1),8594(a,2,2))]. 8600 x \ L(x,x,y) != z | T(x \ L(x,x,y),u) = z. [para(8599(a,1),791(a,1))]. 8602 K(x \ y,K(z,T(x \ y,z) \ (x \ (y * u)))) = K(u,K(x \ y,z)). [hyper(57,a,8071,a(flip),b,8474,a),flip(a)]. 8604 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. [para(5(a,1),8486(a,2,2))]. 8605 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [para(3783(a,1),8486(a,1,1))]. 8606 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(7461,a,8492,a)]. 8607 (x * y) * K(z,K(u,w)) = x * (K(z,K(w,u)) * y). [para(7443(a,2),8492(a,2,2))]. 8609 K(x,(L(y,z,K(u,w)) \ K(u,u * w)) * (y * z)) = K(x,K(w,u) * z). [hyper(57,a,8036,a(flip),b,8502,a),flip(a)]. 8610 K(x \ (K(y,z) * u),T(w,u)) = K(u / (K(z,y) * x),w). [hyper(5361,a,8505,a),flip(a)]. 8612 (K(x,y) * K(z,u)) * K(x \ (K(z,u) * T(x,y)),K(u,z) * x) = (K(u,z) * x) \ T(x,y). [para(8505(a,1),4979(a,1,2))]. 8613 K(x,T(T(y,z),u)) * (K(w,y) * z) = K(w,y) * (z * K(x,T(y,u))). [hyper(57,a,3907,a,b,8510,a)]. 8614 K(x,y) * (z * K(u,T(T(y,z),x))) = (y * z) / T(T(T(y,z),x),u). [hyper(57,a,3563,a(flip),b,8510,a),flip(a)]. 8615 (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). [hyper(57,a,4799,a,b,8512,a)]. 8617 K(x,K(y,z \ (u * x))) = K(x,K(u \ z,y)). [hyper(3981,a,8521,a),flip(a)]. 8618 K(x,K(y,z \ (u * w))) * K(x,y \ ((u \ z) \ w)) = K(x,((u \ z) \ w) / y). [para(8521(a,1),4046(a,1,1))]. 8619 K(K(x,y) \ (x * z),K(u,w)) = K(u,K(x * (u \ z),w)). [hyper(57,a,7998,a(flip),b,8531,a),flip(a)]. 8620 K(x,T(y * ((y \ z) * u),u)) = K(x,L(u,y \ z,y) * z). [para(283(a,1),8534(a,1,2,1))]. 8621 K(x,T(y,z \ (u \ w))) = K(x,T(y,w * (u * z))). [hyper(7586,a,8535,a),flip(a)]. 8622 K(x,T(y,(z * u) \ (w * v5))) = K(x,T(y,u \ (z \ (v5 * w)))). [hyper(57,a,7807,a,b,8535,a)]. 8623 K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,(u \ T(z * u,w)) \ v5)). [para(4933(a,1),8535(a,1,2,2,1)),flip(a)]. 8624 K(x,T(y,z \ (u * w))) = K(x,T(y,w * (u \ z))). [hyper(7586,a,8536,a),flip(a)]. 8625 K(x,T(y,z \ (u * T(w,v5)))) = K(x,T(y,w \ (u \ z))). [hyper(57,a,7814,a(flip),b,8536,a),flip(a)]. 8627 (T(x,a(y,z,u)) * y) \ (y * x) = K(y,x) * a(K(y,x),z,u). [para(8566(a,1),7173(a,1,1))]. 8628 (x * y) * a(z,u,K(x,w)) = L(x,u,K(w,z)) * y. [para(7019(a,2),8568(a,2,1))]. 8629 a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). [para(7019(a,2),8570(a,2,2))]. 8630 T(a(x,y,z),u) * (x * (y * z)) = (x * y) * T(z,a(x,y,u)). [hyper(57,a,5246,a(flip),b,8572,a)]. 8631 K(a(x,y,z),u * x) * w = w * a(K(x,u),y,z). [para(4865(a,1),8587(a,1,1))]. 8632 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(368,a,8606,a)]. 8633 (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(8606(a,2),9(a,2,1,2)),flip(a)]. 8634 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(7450(a,2),8606(a,2,2))]. 8635 K(x,K(y,z)) * (u * w) = u * (K(z,K(y,x)) * w). [hyper(7581,a,8607,a)]. 8637 K(x,y) * (z \ K(u,T(w,z))) = K(u,w) / (z * K(y,x)). [hyper(57,a,7805,a(flip),b,8615,a),flip(a)]. 8638 (x * a(y,z,K(u,w))) \ K(v5,v6) = K(a(w,z,u),y) * (x \ K(v5,v6)). [para(6690(a,2),8615(a,1,1,2))]. 8639 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))). [hyper(7586,a,8621,a)]. 8640 K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z \ w))). [hyper(7586,a,8624,a)]. 8641 T(x * y,a(y,z,u)) \ (y * x) = K(y,x) * a(K(y,x),z,u). [hyper(2422,a,8631,a)]. 8642 x \ (K(y,K(z,u)) * w) = K(z,K(y,u)) * (x \ w). [hyper(230,a,7458,a,b,8632,a),flip(a)]. 8643 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(57,a,8605,a,b,8632,a)]. 8644 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(8606(a,1),8632(a,1,2))]. 8645 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(3784,a,8634,a)]. 8646 K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). [para(7520(a,1),8634(a,2,2))]. 8647 (x * (K(y,K(z,u)) * w)) * v5 = K(y,K(u,z)) * ((x * w) * v5). [para(8635(a,1),8477(a,1,1))]. 8648 K(x,T(y,(z \ u) * a(z,w,w \ 1))) = K(x,T(y,u * R(z,w,w \ 1))). [para(1111(a,1),8639(a,2,2,2,2))]. 8649 K(x,T(y,z * (u \ w))) = K(x,T(y,w * (z * u))). [hyper(57,a,7957,a(flip),b,8640,a),flip(a)]. 8650 K(x,K(y,z)) * (u \ K(y,z)) = u \ K(y,T(z,x)). [para(3762(a,1),8642(a,1,2)),flip(a)]. 8651 (K(x,K(y,z)) * u) \ w = K(x,K(z,y)) * (u \ w). [hyper(230,a,7443,a,b,8643,a),flip(a)]. 8652 K(x,y * ((K(z,K(u,w)) * v5) \ v6)) = K(x,y * (v5 \ v6)). [para(8643(a,2),7655(a,1,2,2))]. 8653 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(8634(a,1),8643(a,1,1))]. 8654 K(x,T(y,(z * u) * ((u \ 1) \ w))) = K(x,T(y,w * R(z,u,u \ 1))). [para(207(a,1),8649(a,2,2,2,2))]. 8655 K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). [para(8650(a,1),7658(a,1,1))]. 8656 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(8650(a,1),7698(a,1,2,2))]. 8657 (x * K(y,K(z,u))) \ w = K(y,K(u,z)) * (x \ w). [para(7450(a,1),8651(a,1,1))]. 8658 (K(x,K(y,z)) * (u \ w)) * (K(u,(u * K(x,K(z,y))) \ w) * v5) = (w / (u * K(x,K(z,y)))) * v5. [para(8657(a,1),7659(a,1,1))]. 8660 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(8569(a,2),8495(a,1))]. 8663 K(x,L(y,z,u \ 1)) != w | a(x,z,K(y,u)) * K(x,y) = w. [para(6825(a,1),8496(a,1))]. 8666 K(x,y) * a(x,z,K(y,u \ w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(2039(a,1),8575(a,1,2,3))]. 8667 K(x,y) * a(x,z,a(u,w,K(v5,y))) != v6 | K(x,L(y,z,a(u,w,v5))) = v6. [para(4865(a,2),8575(a,1,2,3))]. 8668 K(x,K(y,z)) * K(z,L(x,u,w)) = T(K(z,L(x,u,w)),y). [para(3713(a,1),8527(a,1,1))]. 8670 K((x * y) * z,K(y * z,u)) = K(y * z,K(u,x)). [hyper(57,a,8142,a(flip),b,8537,a)]. 8671 K((x * y) \ z,K(u,w)) = K(y \ (x \ z),K(w,u)). [hyper(28,a,3754,a,b,8562,a)]. 8672 K((x * y) \ z,K(u,(y \ (x \ z)) \ w)) = K(w,K(y \ (x \ z),u)). [hyper(230,a,3748,a(flip),b,8671,a),flip(a)]. 8673 K(T(x * y,K(y,z)) \ u,K(w,v5)) = K(y \ (T(x,K(y,z)) \ u),K(v5,w)). [para(3704(a,2),8671(a,1,1,1))]. 8674 K((x * (y * K(x,z))) \ u,K(w,v5)) = K(y \ (T(T(x,z),K(y,z)) \ u),K(v5,w)). [para(3958(a,1),8671(a,1,1,1))]. 8675 a(x,y,K(z,z \ (u \ w))) * K(z,x) = K(z,L(x,y,w / (u * z))). [para(3171(a,1),8578(a,1,1,3))]. 8676 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(8578(a,1),6968(a,1))]. 8677 (x * K(y / (K(z,u) * w),v5)) \ x = K(v5,(K(u,z) * y) / w). [para(8610(a,1),7999(a,1,1,2))]. 8678 K(K(x,y) * (y * z),K(u,w)) = K(u,K(y * (u \ z),w)). [para(2129(a,1),8619(a,1,1))]. 8679 K(x,T(y,z \ (u \ w))) = K(x,T(y,w \ (z * u))). [para(93(a,1),8625(a,1,2,2,2)),flip(a)]. 8680 K(x,T(y,z \ ((u \ 1) * w))) = K(x,T(y,u * (w \ z))). [para(4818(a,1),8679(a,1,2)),flip(a)]. 8681 K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). [para(3870(a,1),8637(a,1,2)),flip(a)]. 8682 K(x,y * (T(z,T(u,w)) \ v5)) = K(x,y * (T(z,u) \ v5)). [para(2498(a,1),8652(a,1,2,2,1)),flip(a)]. 8683 T(x,y * (z \ K(u,T(w,v5)))) = x * K(x,y * (z \ K(u,w))). [para(8656(a,1),1592(a,2,2))]. 8684 T(K(x,T(L(T(y,z),u,w),z)),v5) = K(y,K(v5,x)) * K(x,L(y,u,w)). [para(3878(a,2),8668(a,2,1)),flip(a)]. 8685 K(x,K(y * (x \ z),u)) = K(x,K(u,y * z)). [hyper(7962,a,8678,a),flip(a)]. 8686 K(x,K(y,(x \ z) * u)) = K(x,K(y,u * z)). [hyper(7434,a,8685,a)]. 8687 K(x,K(y,z * (x * u))) = K(x,K(y,u * z)). [para(4(a,1),8686(a,1,2,2,1)),flip(a)]. 8688 K(K(x,y) / x,K(z,u * L(y,x,x \ 1))) = K(K(x,y) / x,K(z,(y * x) * u)). [para(2649(a,1),8687(a,1,2,2,2))]. 8689 K(x,T(y,z * ((u \ 1) \ w))) = K(x,T(y,u * (z \ w))). [hyper(57,a,8624,a(flip),b,8680,a)]. 8691 L(x,T(y,x),z / (y * x)) = L(x,y,(x * y) \ z). [hyper(57,a,3070,a,b,8515,a)]. 8692 L(x,y,z / (y * x)) = L(x,y,(x * y) \ z). [hyper(57,a,5291,a(flip),b,8691,a)]. 8693 L(x,y,(y * x) \ z) = L(x,y,(x * y) \ z). [hyper(57,a,5017,a(flip),b,8692,a)]. 8694 L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,L(T(z,y) / x,x,y)). [para(911(a,1),8693(a,1,3)),flip(a)]. 8695 K(x \ (y \ z),K(u,w)) != v5 | K(u,K(w,z \ (y * x))) = v5. [para(3712(a,2),8565(a,1))]. 8696 K(T(x * ((x \ y) * z),z),u) = w / (K(u,L(z,x \ y,x) * y) * w). [para(8620(a,1),2131(a,1,2,1)),flip(a)]. 8697 K(x,K(y,z)) * ((z * u) * w) = (T(z,K(x,y)) * u) * w. [hyper(104,a,8483,a)]. 8699 ((T(x,K(y,z)) * u) * w) \ (K(y,K(z,x)) * ((x * u) * (w * v5))) = L(L(v5,w,x * u),(x * u) * w,K(y,K(z,x))). [para(8697(a,1),287(a,1,1))]. 8700 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(8497(a,1),8498(a,1,2)),flip(a)]. 8701 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(230,a,17,a,b,8700,a),flip(a)]. 8702 T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. [para(8700(a,2),244(a,1))]. 8704 T(x,y * K(a(z,u,w),v5)) = T(x,y). [hyper(7590,a,8701,a)]. 8705 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(4865(a,2),8704(a,1,2,2))]. 8706 L(x,a(y,z,K(u,w)),v5) * (v5 * a(y,z,K(u,w))) = T(v5 * (a(y,z,K(u,w)) * x),v5). [hyper(795,a,8705,a)]. 8707 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [para(8705(a,1),1589(a,2,2))]. 8708 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(230,a,1589,a,b,8707,a),flip(a)]. 8709 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(75(a,1),8708(a,1,2))]. 8710 T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(8708(a,1),4263(a,1,1,2))]. 8711 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(6132(a,1),8708(a,1,2))]. 8712 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(7028(a,1),8708(a,1,2))]. 8713 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [para(7069(a,1),8708(a,1,2)),flip(a)]. 8714 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [para(8490(a,2),8708(a,1,2))]. 8715 K(x,L(y,z,K(u,w)) * v5) = K(x,y * v5). [para(8628(a,1),8708(a,1,2))]. 8716 K(a(x,y,K(z,u)) * w,v5) = 1 / K(v5,w). [para(8714(a,1),1781(a,1,2)),flip(a)]. 8717 K(x,K(a(y,z,u),w) * v5) = K(x,v5). [para(4865(a,1),8714(a,1,2,1))]. 8718 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(8629(a,1),8714(a,1,2))]. 8719 K(x,y * (z * K(a(u,w,v5),v6))) = K(x,y * z). [hyper(57,a,7540,a(flip),b,8717,a)]. 8720 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(u,z) * v5))). [para(2143(a,1),8712(a,1,2,2))]. 8721 K(x,T(y,L(z,u,w)) * v5) = K(x,T(y,z) * v5). [para(7026(a,1),8715(a,1,2,1))]. 8722 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [hyper(230,a,1781,a(flip),b,8716,a),flip(a)]. 8723 K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). [para(5114(a,1),8722(a,1,1))]. 8724 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(u,z,K(y,x)). [hyper(57,a,7333,a(flip),b,8718,a),flip(a)]. 8725 T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. [para(878(a,1),8702(a,1,2))]. 8726 T(x,(a(y,z,u) * w) \ v5) != v6 | T(x,(w * a(y,z,u)) \ v5) = v6. [para(2554(a,1),8702(a,1,2))]. 8727 K(x,y * (z * (u * T(w,a(v5,v6,v7))))) = K(x,y * (z * (u * w))). [para(3165(a,1),8719(a,1,2,2)),flip(a)]. 8728 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(4865(a,2),8719(a,1,2,2,2))]. 8729 K(x,T(y,z) * R(z,u,w)) = K(x,R(z,u,w) * y). [hyper(6871,a,8721,a),flip(a)]. 8730 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [para(6132(a,1),8728(a,1,2,2))]. 8731 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [para(8490(a,2),8728(a,1,2,2))]. 8732 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(7487,a,8709,a)]. 8733 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(8709(a,2),7685(a,1))]. 8734 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(7689,a,8711,a)]. 8735 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(230,a,7479,a,b,8711,a),flip(a)]. 8736 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(4587(a,1),8711(a,1,2,2)),flip(a)]. 8737 K(x,y \ (z * K(u,w))) != v5 | K(x,K(u,w) * (y \ z)) = v5. [para(8711(a,2),7487(a,1))]. 8738 K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (y * w)). [hyper(57,a,7646,a(flip),b,8713,a)]. 8739 K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). [hyper(7488,a,8723,a)]. 8740 K(x * (y * K(z,u)),w) != v5 | K(K(z,u) * (x * y),w) = v5. [para(8723(a,1),7488(a,1))]. 8741 K(x,T(K(y,z) * u,w) * R(K(y,z),v5,v6)) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). [para(3816(a,1),8729(a,1,2,1))]. 8742 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(230,a,7652,a,b,8732,a),flip(a)]. 8743 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [hyper(57,a,8713,a,b,8732,a)]. 8744 K(x,K(y,z) * (u * (w \ 1))) = K(x,u * (w \ K(y,z))). [para(4735(a,1),8732(a,2,2,2))]. 8745 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(230,a,7479,a,b,8734,a),flip(a)]. 8746 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [para(2472(a,1),8735(a,1,2,2)),flip(a)]. 8747 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(8735(a,1),5003(a,1))]. 8749 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(230,a,8732,a(flip),b,8738,a),flip(a)]. 8750 K(x * (y * K(z,u * z)),w) = K(K(z,u) * (x * y),w). [para(1727(a,1),8739(a,1,1,1)),flip(a)]. 8751 K(x,y \ (z * (u * K(w,v5)))) * K(K(w,v5) * (z * u),K(x,y)) = K(x,(z * (u * K(w,v5))) / y). [para(8739(a,2),7512(a,1,2))]. 8752 K(x,K(y,T(z,u)) * (w * (v5 * T(y,u)))) = K(x,w * (T(T(y,u),z) * T(v5,y))). [hyper(230,a,8043,a(flip),b,8742,a),flip(a)]. 8753 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(8742(a,2),7711(a,1))]. 8754 K(x * (y / x),z * (u * K(w,v5))) = K(y,T((K(w,v5) * z) * u,x)). [hyper(5373,a,8743,a),flip(a)]. 8755 K(x,y * (T(z,y) * K(u,w))) = K(x,z * (y * K(u,w))). [hyper(57,a,7779,a(flip),b,8743,a),flip(a)]. 8756 T(T(x,K(y,z * (u * K(w,v5)))),((K(w,v5) * z) * u) \ y) = T(x,y / ((K(w,v5) * z) * u)). [para(8743(a,1),4276(a,1,1,2))]. 8757 K(x,(y * z) * (u * K(w,L(v5,y,z)))) = K(x,((K(w,v5) * y) * z) * u). [para(6857(a,1),8743(a,1,2,1)),flip(a)]. 8758 x * (a(x,y,K(z,K(x,z) * (u \ y))) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). [para(8745(a,1),7311(a,1,2,1,3))]. 8759 K(x,y \ (K(z,u) * w)) != v5 | K(x,(y \ w) * K(z,u)) = v5. [para(8745(a,2),7496(a,1))]. 8760 K(x,(y * K(z,u)) * (z / w)) = K(x,y * (T(z,u) / w)). [hyper(230,a,7669,a(flip),b,8749,a),flip(a)]. 8761 K(x,(y * z) * (u * K(z,w))) = K(x,(y * T(z,w)) * u). [para(2472(a,1),8749(a,1,2,1)),flip(a)]. 8762 K(x,(y * K(z,u)) * (z / w)) != v5 | K(x,y * (T(z,u) / w)) = v5. [para(8749(a,2),7713(a,1))]. 8764 K(x,K(y,z) * (u * (w \ 1))) = K(x,u * (w \ K(z,y \ 1))). [hyper(57,a,3688,a(flip),b,8744,a)]. 8765 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [hyper(7640,a,8746,a),flip(a)]. 8766 K(K(x,y) * (z \ (u * x)),w) = v5 / (K(w,z \ (u * T(x,y))) * v5). [para(8746(a,1),2131(a,1,2,1)),flip(a)]. 8767 K(x,y \ (z * (K(u,w) * v5))) = K(x,y \ (z * (v5 * K(u,w)))). [para(589(a,1),8765(a,1,2,2,2)),flip(a)]. 8768 K(x * (K(y,y * z) * u),w) = K(K(y,z) * (x * u),w). [hyper(57,a,7997,a,b,8750,a)]. 8769 K(x,(y \ z) * (T(y,z) / u)) = K(x,(z / y) * (y / u)). [para(1809(a,1),8760(a,1,2,1)),flip(a)]. 8770 K(x,(y * T(z,K(u,w))) * v5) = K(x,(y * z) * v5). [hyper(7688,a,8761,a),flip(a)]. 8771 K(x,(y * T(z,u)) * T(w,y * z)) = K(x,w * ((y * z) * K(z,u))). [hyper(57,a,8755,a(flip),b,8761,a),flip(a)]. 8772 K(x,(y * z) * (u * K(z,T(w * K(v5,v6),v5)))) = K(x,(y * T(z,(v5 \ w) * T(v5,v6))) * u). [para(4283(a,2),8761(a,1,2,2,2))]. 8773 K(x,(y * (K(z,u) * w)) * v5) = K(x,(y * (w * K(z,u))) * v5). [para(589(a,1),8770(a,1,2,1,2)),flip(a)]. 8774 K(x,(y * T(z,T(u,w))) * v5) = K(x,(y * T(z,u)) * v5). [para(3601(a,1),8770(a,1,2,1,2))]. 8775 K(K(x,y \ 1) * (z * u),w) = K(z * (K(x,y \ x) * u),w). [para(3585(a,1),8768(a,1,1,2,1)),flip(a)]. 8776 K(x,(K(y,T(z,T(u,w))) * T(y,u)) * v5) = K(x,T(T(y,T(u,w)),z) * v5). [para(2243(a,1),8774(a,1,2,1)),flip(a)]. 8777 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(7479(a,1),8753(a,1))]. 8778 K(x,(y * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. [para(8738(a,2),8753(a,1))]. 8780 K(x,(y * z) / L(y,u,w)) = K(x,(L(y,u,w) \ z) * y). [hyper(57,a,1757,a(flip),b,8533,a),flip(a)]. 8781 K(x,(L(y,z,u) \ w) * y) = K(x,y * (w / L(y,z,u))). [para(786(a,1),8780(a,1,2)),flip(a)]. 8783 K(a(x,x \ y,y \ z),u) * z = (x * (x \ y)) * T(y \ z,a(x,x \ y,u)). [hyper(5151,a,8630,a)]. 8784 T(x * y,a(y,z,u)) = T(x,a(y,z,u)) * y. [hyper(33,a,8627,a,b,8641,a),flip(a)]. 8785 K(x,y * (z * (u * K(w,T(v5,v6))))) = K(x,y * (z * (u * K(w,v5)))). [para(8646(a,1),7698(a,1,2,2))]. 8786 (K(x,K(y,z)) * ((u * w) * v5)) / ((K(x,K(z,y)) * w) * v5) = R(u,K(x,K(z,y)) * w,v5). [para(8647(a,1),15(a,2,1)),flip(a)]. 8787 K((K(x,y) * z) / u,w) = K(z / (K(y,x) * u),w). [hyper(7533,a,8677,a),flip(a)]. 8788 K(x,(K(y,z) * u) / w) = K(x,u / (K(z,y) * w)). [hyper(2175,a,8677,a),flip(a)]. 8789 K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). [hyper(230,a,4812,a(flip),b,8787,a),flip(a)]. 8790 T(x,T(y \ (K(z,u) * w),w)) = x * K(x,w / (K(u,z) * y)). [para(8788(a,1),7916(a,2,2))]. 8791 K(x * ((1 / y) \ K(z,u)),w) = K((K(z,u) * x) * y,w). [hyper(57,a,4807,a(flip),b,8789,a),flip(a)]. 8792 K((K(x,y) * z) * u,w) = K(z * (u * K(x,y)),w). [para(4751(a,1),8791(a,1,1,2)),flip(a)]. 8793 K((x * K(y,z)) * u,w) = K(x * (u * K(y,z)),w). [hyper(57,a,7662,a(flip),b,8792,a)]. 8794 K((x \ y) * (z * K(y,u)),w) = K((x \ T(y,u)) * z,w). [para(4927(a,1),8793(a,1,1,1)),flip(a)]. 8795 K((x \ (y * z)) * (u * K(z,y)),w) = K((x \ (z * y)) * u,w). [para(4996(a,1),8793(a,1,1,1)),flip(a)]. 8796 K(K(x,y) * ((z \ x) * u),w) = K((z \ T(x,y)) * u,w). [hyper(8740,a,8794,a)]. 8797 K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ T(y,z)) * u,w). [hyper(57,a,8211,a,b,8794,a)]. 8798 K((x \ (y * z)) * (u * K(z,y)),w) = K((x \ T(y * z,y)) * u,w). [para(1689(a,1),8794(a,1,1,2,2))]. 8799 K(K(x,y) * ((z \ y) * u),w) = K((z \ T(y,x)) * u,w). [hyper(7141,a,8796,a)]. 8800 T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). [hyper(230,a,1592,a,b,8683,a),flip(a)]. 8801 T(x,y * (z \ K(u,T(w,v5)))) != v6 | T(x,y * (z \ K(u,w))) = v6. [para(8683(a,2),1607(a,1))]. 8802 T(x,K(y \ K(z,T(u,w)),v5) * (y \ K(z,u))) = T(x,T(y \ K(z,T(u,w)),v5)). [para(1610(a,2),8800(a,1,2)),flip(a)]. 8803 a(x,y,K(z,u * (w \ (K(v5,v6) * v7)))) * K(z,x) = K(z,L(x,y,u * ((K(v6,v5) * w) \ v7))). [para(8720(a,1),6712(a,1,1,3))]. 8804 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * (K(w,v5) * (z \ u))). [hyper(230,a,7652,a,b,8730,a),flip(a)]. 8805 K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(w,u))). [hyper(57,a,8744,a(flip),b,8764,a),flip(a)]. 8806 K(x * (K(y,z \ y) * u),w) = K(K(z,y) * (x * u),w). [para(1696(a,1),8775(a,1,1,1)),flip(a)]. 8807 T(x,T(y \ (K(z,u) * w),w)) = T(x,w / (K(u,z) * y)). [hyper(230,a,1592,a,b,8790,a),flip(a)]. 8808 T(x,(K(y,z) * u) / w) = T(x,u / (K(z,y) * w)). [hyper(7953,a,8807,a)]. 8809 T(x,(K(y,z) * u) / w) = T(x,u * (w \ K(y,z))). [hyper(230,a,4833,a(flip),b,8808,a),flip(a)]. 8810 T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,z / (K(T(v6,y \ z),v5) * y)). [hyper(57,a,8188,a,b,8808,a)]. 8811 T(x,y * (z \ K(y,u))) = T(x,T(y,u) / z). [para(1610(a,2),8809(a,1,2,1)),flip(a)]. 8812 T(T(x,T(y,z) / u),K(w,T(y,z) / u)) = T(x,T(y * (u \ K(y,z)),w)). [para(8811(a,1),7740(a,1,1))]. 8813 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * (K(u,w) * (z \ v5))). [hyper(7744,a,8804,a)]. 8814 K(x,y * (z \ (u * K(w,v5)))) != v6 | K(x,y * ((z \ u) * K(w,v5))) = v6. [para(8804(a,2),7711(a,1))]. 8815 K(x * (y / x),z * (K(u,w) * (v5 \ v6))) = K(y,T(z * (v5 \ (K(u,w) * v6)),x)). [hyper(5373,a,8813,a),flip(a)]. 8816 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (K(u,z) * (w \ v5))). [hyper(57,a,8720,a,b,8813,a)]. 8817 K(x,y * (K(z,u) * (w \ K(u,u * z)))) = K(x,y / w). [hyper(5256,a,8816,a),flip(a)]. 8818 K(x,y * (K(z,u) * (w \ K(u,u * z)))) != v5 | K(x,y / w) = v5. [para(8816(a,1),5256(a,1))]. 8819 K(x,L(y,z,(u \ w) \ 1)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(6825(a,1),8666(a,1))]. 8820 K(x,y * (z * ((K(u,w) * v5) * v6))) = K(x,y * (z * (K(u,w) * (v5 * v6)))). [para(7017(a,1),8727(a,1,2,2,2)),flip(a)]. 8821 T(x,y * (K(z,u) / w)) != v5 | T(x,y * (w \ K(z,u))) = v5. [para(3870(a,1),8801(a,1,2,2))]. 8822 T(x,y / (K(z,u) * w)) != v5 | T(x,y * (w \ K(u,z))) = v5. [para(7723(a,2),8821(a,1))]. 8823 T(x,(K(y,z) * u) / w) != v5 | T(x,u * (w \ K(y,z))) = v5. [para(8808(a,2),8822(a,1))]. 8824 K((x * y) * z,K(y * z,u)) = K(x,K((x * y) * z,u)). [hyper(7444,a,8525,a),flip(a)]. 8827 K(x,K((x * y) * z,u)) = K(y * z,K(u,x)). [hyper(57,a,8670,a(flip),b,8824,a),flip(a)]. 8828 K(x,K(y,z * (u * x))) = K(u * z,K(y,x)). [hyper(7931,a,8827,a)]. 8829 K(x,K((y * x) * z,u)) = K(y * z,K(u,x)). [hyper(7429,a,8828,a)]. 8831 a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(u \ v5,v5,K(x,T(w,z))). [para(2226(a,1),8554(a,2,3))]. 8833 a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K(((y \ x) \ 1) \ y,z)). [hyper(57,a,6207,a(flip),b,8555,a)]. 8834 a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K((y \ x) * y,z)). [para(4766(a,1),8833(a,2,3))]. 8835 a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K(x,T(z,y))). [para(2238(a,1),8834(a,2,3))]. 8836 a(x,(y \ x) \ 1,K(z,u)) = a(x,y,K(z,u)). [hyper(230,a,8546,a(flip),b,8835,a),flip(a)]. 8838 T(((x / y) * L(y,z,u)) \ x,w) = (x / y) \ (x / L(y,z,T(u,w))). [hyper(230,a,5986,a(flip),b,8595,a),flip(a)]. 8839 K(x \ (y * z),K(x \ y,u)) = K(z,K(x \ y,u)). [hyper(57,a,3854,a(flip),b,8602,a)]. 8840 K(x \ y,K(x \ (y * z),u)) = K(z,K(x \ y,u)). [hyper(3739,a,8839,a)]. 8842 K(x,y * ((z * u) / T(T(T(z,u),w),v5))) = K(x,y * (K(w,z) * (u * K(v5,T(z,w))))). [para(8613(a,1),7716(a,1,2,2)),flip(a)]. 8843 (x * y) / T(T(T(x,y),z),u) = K(z,x) * (K(u,T(x,z)) * y). [para(1987(a,1),8614(a,1,2)),flip(a)]. 8844 (x * y) / T(T(T(x,y),z),u) = x * (T(T(x,z),u) \ y). [hyper(230,a,2215,a(flip),b,8843,a),flip(a)]. 8845 (x * a(y,z,K(u,w))) \ K(v5,v6) = a(w,z,K(u,y)) * (x \ K(v5,v6)). [para(4865(a,2),8638(a,2,1))]. 8846 K((x * y) \ z,K(u,(x \ z) \ (y * w))) = K(w,K(y \ (x \ z),u)). [hyper(8565,a,8672,a)]. 8847 K(x,L(y,z,u / (w * x))) = K(x,L(y,z,x \ (w \ u))). [hyper(6968,a,8675,a),flip(a)]. 8848 K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). [hyper(8676,a,8847,a)]. 8849 x * K(y,L(z,u,y \ (u \ x))) = (x / (u * y)) * (u * T(y,z)). [para(8848(a,1),5248(a,1,2))]. 8850 (x / (y * z)) * (y * T(z,u)) = x * K(z,L(u,y,y \ x)). [para(6950(a,1),8849(a,1,2)),flip(a)]. 8851 (x / (y * z)) * (y * T(z,u)) != w | (x / y) * (y * K(z,u)) = w. [para(8850(a,2),4592(a,1))]. 8852 K(x,K(y,z)) * K(z,L(x,u,w)) = K(z,L(T(x,y),u,w)). [hyper(5353,a,8684,a),flip(a)]. 8853 K(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(T(z,x),u,w)). [para(3736(a,2),8852(a,1,1))]. 8854 K(x,K(y,z)) * K(z,L(y,u,w)) = K(z,L(T(y,x),u,w)). [para(3738(a,1),8852(a,1,1))]. 8855 K(x,L(T(y,z),u,w)) * K(L(y,u,w),x) = K(z,K(x,y)). [hyper(2174,a,8853,a)]. 8856 K(x * y,K(x,z)) * K(x,L(z,u,w)) = K(x,L(T(z,y),u,w)). [para(2588(a,2),8853(a,1,1))]. 8858 K(x,L(T(y,z),u,w)) * K(y,L(x,u,w)) = K(z,K(x,y)). [para(4624(a,1),8855(a,1,2))]. 8859 K(x,L(T(y,z / u),w,v5)) * K(y,L(x,w,v5)) = K(x,K(u \ z,y)). [hyper(230,a,7457,a(flip),b,8858,a),flip(a)]. 8860 K(x,K(x * y,z)) * K(x,L(z,u,w)) = K(x,L(T(z,y),u,w)). [para(3738(a,1),8856(a,1,1))]. 8861 K(x,K(x * y,z)) = K(y,K(z,x)). [hyper(29,a,8854,a,b,8860,a),flip(a)]. 8862 K(x,T((K(y,z) * u) * w,v5)) = K(x,T(u * (w * K(y,z)),v5)). [hyper(5373,a,8754,a),flip(a)]. 8863 K(x,T((1 / y) * (z * K(u,w)),v5)) = K(x,T((K(u,w) / y) * z,v5)). [para(4753(a,1),8862(a,1,2,1,1)),flip(a)]. 8864 K(K(x,y) * (z \ (u * x)),w) = K(z \ (u * T(x,y)),w). [hyper(230,a,2131,a(flip),b,8766,a),flip(a)]. 8865 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (y * z),T(z,w)). [hyper(57,a,3902,a(flip),b,8864,a),flip(a)]. 8866 K(T(x,y) * (z \ u),T(x,y)) = K(z \ (u * x),T(x,y)). [hyper(57,a,3674,a(flip),b,8865,a)]. 8867 K(x \ (y * z),T(z,u)) = K(z * (x \ y),T(z,u)). [hyper(57,a,3954,a(flip),b,8866,a),flip(a)]. 8869 K(x * ((y \ 1) \ z),T(x,u)) = K(y * (z * x),T(x,u)). [hyper(57,a,4766,a(flip),b,8867,a),flip(a)]. 8870 K(x * ((y \ 1) \ z),z) = K(y * (x * z),T(z,y)). [hyper(57,a,5522,a(flip),b,8869,a)]. 8871 K(x * ((y \ 1) \ z),z) = K((x * z) * y,z). [hyper(230,a,2229,a(flip),b,8870,a),flip(a)]. 8872 K((x * y) * z,y) = K(x * (y * z),y). [hyper(57,a,6956,a(flip),b,8871,a),flip(a)]. 8873 K((x * y) * z,x) = K(y * (x * z),x). [hyper(57,a,3479,a(flip),b,8872,a)]. 8874 x / (K(y * (z * u),z) * x) = K(z,(z * y) * u). [para(8873(a,1),2131(a,1,2,1))]. 8875 K(x,(x * y) * z) = K(x,y * (x * z)). [hyper(2141,a,8874,a),flip(a)]. 8876 K(x,(y * x) * z) = K(x,y * (x * z)). [hyper(57,a,3517,a,b,8875,a)]. 8877 K(x,T(y,z \ x) * ((z \ 1) * x)) = K(x,(z \ 1) * (x * y)). [hyper(57,a,4826,a,b,8876,a)]. 8878 K(x,T(y,z \ x) * ((z \ 1) * x)) = K(x,z \ (x * y)). [hyper(230,a,4742,a(flip),b,8877,a),flip(a)]. 8879 K(x,T(y,z \ x) * ((z \ 1) * x)) != u | K(x,x * (z \ y)) = u. [para(8878(a,2),3577(a,1))]. 8880 K(x,(y * T(z,u)) * T(w,y * z)) = K(x,w * (y * T(z,u))). [para(2472(a,1),8771(a,2,2,2))]. 8881 K(x,y * T(z,(y / T(u,w)) * u)) = K(x,z * ((y / T(u,w)) * T(u,w))). [para(7(a,1),8880(a,1,2,1))]. 8882 K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) = K(x,v5 * T(T(K(y,T(z,v6)) * u,w),K(y,z))). [hyper(57,a,8195,a(flip),b,8785,a),flip(a)]. 8883 K(x,y * (z * T(K(u,w) * v5,v6))) = K(x,y * (z * (T(v5,v6) * K(u,w)))). [para(6995(a,1),8785(a,1,2,2,2))]. 8884 K((x \ T(y * z,y)) * u,w) = K((x \ (z * y)) * u,w). [hyper(57,a,8795,a(flip),b,8798,a),flip(a)]. 8885 a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(x,v5,K(w,u \ v5)). [hyper(230,a,8546,a(flip),b,8831,a),flip(a)]. 8886 a(x,y,K(y \ z,T(u,w))) = a(u,z,K(x,y \ z)). [hyper(8589,a,8885,a)]. 8889 a(x,y,K(y \ z,u)) = a(u,z,K(x,y \ z)). [hyper(8558,a,8886,a)]. 8890 a(x \ y,x,K(z,u)) = a(z,y,K(u,x \ y)). [hyper(8553,a,8886,a)]. 8891 T((x / y) \ (x / L(y,z,u)),w) = (x / y) \ (x / L(y,z,T(u,w))). [para(5986(a,1),8838(a,1,1))]. 8892 K((x * y) \ 1,K(z,x * (y * u))) = K(u,K(y \ (x \ 1),z)). [hyper(5004,a,8846,a)]. 8893 K(x * y,K(z,x * (y * u))) = K(u,K(y \ (x \ 1),z)). [hyper(3780,a,8892,a)]. 8894 K(x * y,K(z,x * (y * u))) = K(u,K(x * y,z)). [hyper(230,a,4805,a(flip),b,8893,a),flip(a)]. 8895 K(x,L(T(y,z / (u * w)),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w \ (u \ z),y)). [hyper(230,a,8528,a(flip),b,8859,a),flip(a)]. 8896 K(x,T(y \ (z * K(u,w)),v5)) = K(x,T((K(u,w) / y) * z,v5)). [hyper(57,a,4860,a(flip),b,8863,a)]. 8897 (K(x,K(y,z)) * ((u * w) * v5)) / (w * v5) = R(u * K(x,K(z,y)),w,v5). [para(8647(a,1),8447(a,1,1))]. 8898 K(x,(L(y,z,K(u,w)) \ K(u,w)) * (y * z)) = K(x,K(w,u) * z). [hyper(57,a,5170,a(flip),b,8609,a)]. 8899 K(x,L(y \ K(z,u),w,K(z,u)) * (y * w)) = K(x,K(u,z) * w). [para(7768(a,2),8898(a,1,2,1))]. 8900 K(x,(y \ K(z,u)) * (y * w)) = K(x,K(u,z) * w). [hyper(57,a,8715,a(flip),b,8899,a)]. 8901 K(x,(y \ K(z,u)) * (y * (K(u,z) * w))) = K(x,w). [hyper(230,a,7146,a(flip),b,8900,a),flip(a)]. 8903 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(57,a,7735,a(flip),b,8901,a)]. 8905 K(L(x,K(y,z),u),w) = K(x,w). [hyper(4645,a,8903,a)]. 8908 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(2154(a,1),8903(a,1,2))]. 8909 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(8903(a,1),4587(a,1,2))]. 8910 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(8903(a,1),6857(a,1,1)),flip(a)]. 8911 (T(x,y) * K(z,T(u,x))) * w = K(x,y) * ((K(z,u) * x) * w). [para(8905(a,1),6962(a,1,1)),flip(a)]. 8912 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(7753,a,8908,a)]. 8913 K(x,(y * K(z,u)) \ w) = K(x,y \ (K(u,z) * w)). [hyper(230,a,8745,a,b,8908,a),flip(a)]. 8914 K(x,K(y,z)) * K(y,z / (x * K(u,w))) = K(y,K(w,u) * (x \ z)). [hyper(57,a,7856,a,b,8908,a)]. 8916 L(x,K(y,z),K(u,w)) = x. [hyper(8170,a,8909,a)]. 8918 K(x,y) * (z * (K(u,w) * K(y,x))) = T(z * K(u,w),K(y,x)). [para(8909(a,1),2130(a,1,2))]. 8920 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(7470(a,1),8909(a,2,2))]. 8921 (K(x,y) * (z * K(u,w))) * K(v5,v6) = (K(x,y) * z) * (K(u,w) * K(v5,v6)). [para(8510(a,1),8909(a,1,1))]. 8922 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(57,a,7026,a(flip),b,8916,a)]. 8923 L(x,K(y,z),K(u,w)) != v5 | x = v5. [para(8916(a,1),44(a,2))]. 8925 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(2154(a,1),8922(a,1,2))]. 8926 K(x,y) * (K(z,u) * (K(z,u) * x)) = (K(z,u) * K(z,u)) * T(x,y). [para(8910(a,1),7190(a,1,2))]. 8928 K(x,((K(y,z) * u) \ w) * K(v5,v6)) = K(x,K(z,y) * (u \ (K(v5,v6) * w))). [hyper(8759,a,8912,a)]. 8929 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [hyper(230,a,7479,a(flip),b,8912,a),flip(a)]. 8930 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(2134(a,1),8912(a,1,2,1)),flip(a)]. 8931 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ w) * K(z,y)) = v5. [para(8912(a,2),7496(a,1))]. 8932 K(x,((K(y,z) * u) \ w) * K(u,K(z,y) * (u \ w))) = K(x,w / (K(y,z) * u)). [para(8912(a,1),7918(a,1,2,2))]. 8933 K(x,(y * z) \ (K(u,z) * w)) = K(x,(y * T(z,u)) \ w). [para(2472(a,1),8913(a,1,2,1)),flip(a)]. 8934 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(4865(a,2),8920(a,1,2))]. 8935 T(x,(K(y,z) \ u) \ w) = T(x,K(y,z) * (u \ w)). [hyper(57,a,7636,a,b,8925,a)]. 8936 T(x,K(L(y,z,u),w) * ((u * z) \ v5)) = T(x,(u * (z * K(w,y))) \ v5). [para(4587(a,1),8925(a,1,2,1)),flip(a)]. 8937 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). [para(6917(a,1),8929(a,1,2,1)),flip(a)]. 8938 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(8929(a,2),7487(a,1))]. 8939 T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). [hyper(57,a,8501,a(flip),b,8935,a)]. 8940 T(T(x,K(y,z)),K(u,w) * (z \ y)) = T(x,(K(u,w) * y) / z). [hyper(57,a,7926,a(flip),b,8939,a),flip(a)]. 8941 T(x,y \ (z * K(u,w))) = T(x,K(u,w) * (y \ z)). [hyper(57,a,7633,a(flip),b,8939,a)]. 8942 K(K(x,y) * ((x \ z) \ u),w) = v5 / (K(w,(T(x,y) \ z) \ u) * v5). [para(8930(a,1),2131(a,1,2,1)),flip(a)]. 8943 K(x,(y * T(z,u)) \ (T(z,u) * w)) = K(x,(y * z) \ (z * w)). [para(2135(a,1),8933(a,1,2,2)),flip(a)]. 8946 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(7647(a,1),8938(a,1))]. 8948 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(7493(a,1),8911(a,1,1)),flip(a)]. 8950 (K(x,y) * T(z,u)) \ ((K(x,y) * T(z,u)) * w) = L(w,K(x,y) * z,K(z,u)). [para(8948(a,1),7556(a,1,2))]. 8951 T(T(x,K(y,z)),K(u,w) * (z \ y)) = T(x,y * (z \ K(u,w))). [hyper(230,a,8809,a(flip),b,8940,a),flip(a)]. 8952 T(T(x,K(y,z)),K(u,w) * (z \ y)) != v5 | T(x,y * (z \ K(u,w))) = v5. [para(8940(a,2),8823(a,1))]. 8953 K(x,(T(y,z) * u) / (w * T(y,z))) = K(y * u,K(x,w * y)) * K(x,(w * y) \ (y * u)). [para(8943(a,1),8020(a,1,2)),flip(a)]. 8954 T(T(x,K(y,z)),(z \ y) * K(u,w)) = T(x,y * (z \ K(u,w))). [hyper(7527,a,8951,a)]. 8955 T(x,K(y,T(z,u)) * (u / w)) = T(x,u * (w \ K(y,z))). [hyper(57,a,8033,a(flip),b,8954,a)]. 8956 T(x,(y / z) * K(u,w)) = T(x,y * (z \ K(u,w))). [hyper(57,a,8052,a(flip),b,8955,a)]. 8958 x / T(x,y * (z \ K(u,w))) = K((y / z) * K(u,w),x). [para(8956(a,1),1587(a,2,2)),flip(a)]. 8959 x \ T(x,y * (z \ K(u,w))) = K(x,(y / z) * K(u,w)). [para(8956(a,1),1589(a,2,2)),flip(a)]. 8960 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(1649,a,8958,a),flip(a)]. 8961 K(K(x,y) * (z / u),w) = K(z * (u \ K(x,y)),w). [hyper(7488,a,8960,a)]. 8962 K((x * y) * (y \ K(z,u)),w) = K(K(z,u) * x,w). [para(6(a,1),8961(a,1,1,2)),flip(a)]. 8963 K((x * y) / (K(z,u) * y),w) = K(K(u,z) * x,w). [hyper(57,a,4812,a,b,8962,a)]. 8964 T(K(K(x,y) * z,T(u,w)),w) = K((z * v5) / (K(y,x) * v5),u). [hyper(230,a,3862,a,b,8963,a)]. 8965 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(1634,a,8959,a),flip(a)]. 8966 K(x,y * (z \ K(u,K(w,v5)))) = K(x,y / z). [hyper(7682,a,8965,a),flip(a)]. 8968 K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. [para(8965(a,1),7487(a,1))]. 8969 K(x,y * (z \ K(u,K(w,v5)))) != v6 | K(x,y / z) = v6. [para(8965(a,1),7682(a,1))]. 8970 K(x,(y * (z * K(u,w))) * (v5 \ K(v6,K(v7,v8)))) = K(x,(y * (K(u,w) * z)) / v5). [hyper(57,a,8773,a(flip),b,8966,a)]. 8971 K(x,y / (z * T(u,K(w,v5)))) = K(x,y / (z * u)). [hyper(57,a,7736,a(flip),b,8966,a),flip(a)]. 8972 K(x,y / (z * (K(u,w) * v5))) = K(x,y / (z * (v5 * K(u,w)))). [para(589(a,1),8971(a,1,2,2,2)),flip(a)]. 8973 T(x,y / (z * T(u,K(w,v5)))) = x * K(x,y / (z * u)). [para(8971(a,1),1592(a,2,2))]. 8974 T(x,y / (z * T(u,K(w,v5)))) = T(x,y / (z * u)). [hyper(230,a,1592,a,b,8973,a),flip(a)]. 8975 T(x,y / (z * (K(u,w) * (v5 \ 1)))) = T(x,y / (z * (v5 \ K(u,w)))). [para(4756(a,1),8974(a,1,2,2,2))]. 8976 T(K(x,K(y,z)) * K(K(u,w) * z,y),x) = K((z * v5) / (K(w,u) * v5),y). [para(7829(a,2),8964(a,1,1))]. 8977 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y / (z * K(w,u))). [hyper(3742,a,8914,a)]. 8978 K(x,y) * (z * (T(T(z,u),u) \ x)) = (K(u,z) * K(u,z)) * T(x,y). [para(2864(a,1),8926(a,1,2))]. 8979 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(4865(a,2),8934(a,2,2,1))]. 8980 K(K(x,y) * ((x \ z) \ u),w) = K((T(x,y) \ z) \ u,w). [hyper(230,a,2131,a(flip),b,8942,a),flip(a)]. 8981 K(K(x,y) * ((x \ (T(x,y) * z)) \ u),w) = K(z \ u,w). [para(4(a,1),8980(a,2,1,1))]. 8982 K(K(x,y) * ((K(x,y) * z) \ u),w) = K(z \ u,w). [para(1773(a,1),8981(a,1,1,2,1))]. 8983 K(K(x,y) * ((T(y,x) \ z) \ u),w) = K((y \ z) \ u,w). [para(2134(a,1),8982(a,1,1,2,1))]. 8984 K(x,K(y,z) * (u \ w)) * K(w,K(x,u)) = K(x,w / (u * K(z,y))). [hyper(7588,a,8977,a)]. 8985 K(x,y) * (z * (T(T(z,u),u) \ x)) = K(u,z) * (K(u,z) * T(x,y)). [hyper(230,a,8910,a(flip),b,8978,a),flip(a)]. 8986 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(y,z) * a(u,w,K(v5,v6))). [para(8490(a,1),8979(a,2,2))]. 8987 K(x,K(y,z) * (u \ w)) * K(w,K(x,u)) = K(x,w / (K(z,y) * u)). [hyper(230,a,7653,a,b,8984,a),flip(a)]. 8988 K(x,y) * (z * (T(T(z,u),u) \ x)) = z * (T(T(z,u),u) \ T(x,y)). [hyper(230,a,2864,a(flip),b,8985,a),flip(a)]. 8989 K(x,K(y,z)) * K(x,z / (K(u,w) * y)) = K(x,K(w,u) * (y \ z)). [hyper(7507,a,8987,a)]. 8990 K(x,K(y,z)) * K(x,z * (y \ K(u,w))) = K(x,K(u,w) * (y \ z)). [para(4803(a,1),8989(a,1,2))]. 8991 K(x,K(y,z)) * K(z,K(u,w) * (y \ x)) = K(z,x * (y \ K(u,w))). [hyper(3765,a,8990,a)]. 8992 K(x,K(y,z)) * K(x,z * (y \ K(u,w))) = K(x,(y \ z) * K(u,w)). [hyper(230,a,7479,a(flip),b,8990,a),flip(a)]. 8993 K(x,(y \ z) * K(u,w)) \ K(x,K(y,z)) = K(z * (y \ K(u,w)),x). [para(8992(a,1),2160(a,1,1))]. 8994 K((x \ y) * K(z,u),w) * K(w,K(x,y)) = K(y * (x \ K(z,u)),w). [hyper(2142,a,8993,a)]. 8995 K((x \ y) * K(z,u),w) * K(w,K(x,y)) = K(y / (K(u,z) * x),w). [hyper(230,a,4812,a,b,8994,a),flip(a)]. 8996 K(x,K(y,z)) * K((x \ y) * K(u,w),z) = K(y / (K(w,u) * x),z). [hyper(7581,a,8995,a)]. 8997 K(x,K(y,z)) * K(K(u,w) * (x \ y),z) = K(y / (K(w,u) * x),z). [para(7477(a,2),8996(a,1,2))]. 8998 K(x,K(y * x,z)) * K(K(u,w) * T(y,x),z) = K((y * x) / (K(w,u) * x),z). [para(17(a,2),8997(a,1,2,1,2))]. 8999 K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,w * ((u * w) \ z))). [hyper(57,a,8689,a(flip),b,8654,a),flip(a)]. 9000 L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,L(x \ T(z,y),x,y)). [hyper(230,a,3432,a(flip),b,8694,a),flip(a)]. 9001 K(T(x * ((x \ y) * z),z),u) = K(L(z,x \ y,x) * y,u). [hyper(230,a,2131,a(flip),b,8696,a),flip(a)]. 9002 K(L(x,y \ z,y) * z,u) = K(y * ((y \ z) * x),T(u,x)). [hyper(2416,a,9001,a),flip(a)]. 9003 K(x * ((x \ y) * z),T(u,z)) = K((z * (y / x)) * x,u). [hyper(8398,a,9002,a),flip(a)]. 9004 K(L(x,T(y,z),z) * (y * z),u) = K(z * ((z \ (y * z)) * x),T(u,x)). [para(17(a,2),9002(a,1,1,1,2))]. 9005 K(x * ((x \ (y * x)) * z),T(u,z)) = K((z * y) * x,u). [para(6(a,1),9003(a,2,1,1,2))]. 9006 K(x * (T(y,x) * z),T(u,z)) = K((z * y) * x,u). [para(17(a,2),9005(a,1,1,2,1))]. 9007 L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,(y * x) \ (z * y)). [para(269(a,1),9000(a,2,3))]. 9008 K(L(x,T(y,z),z) * (y * z),u) = K(z * (T(y,z) * x),T(u,x)). [para(17(a,2),9004(a,2,1,2,1))]. 9009 K(L(x,y,z) * (y * z),u) = K(z * (T(y,z) * x),T(u,x)). [para(2813(a,1),9008(a,1,1,1))]. 9010 K(L(x,y,z) * (y * z),u) = K((x * y) * z,u). [hyper(230,a,9006,a(flip),b,9009,a),flip(a)]. 9011 K(x,y) * ((x * z) * K(u,T(w,x * z))) = K(u,w) * (T(x,y) * z). [para(7800(a,1),8514(a,1,2,2))]. 9013 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(1979(a,1),9011(a,1,2))]. 9015 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(9013(a,1),7557(a,1,2)),flip(a)]. 9016 x \ T(y * T(x,K(z,u)),K(L(z,w,v5),u)) = T(y,R(K(u,z),w,v5) * x). [para(3796(a,1),8563(a,1,2,1,2))]. 9018 K(x \ (T(y,K(x,z)) \ u),K(w,v5)) = K((y * x) \ u,K(v5,w)). [hyper(57,a,7961,a(flip),b,8673,a),flip(a)]. 9020 K(x \ (T(y,K(x,z)) \ u),K(w,v5)) = K(x \ (y \ u),K(w,v5)). [hyper(230,a,8671,a(flip),b,9018,a),flip(a)]. 9021 K(x,T(T(y,T(z,u)),w) * v5) = K(x,(K(y,T(w,z)) * T(y,z)) * v5). [para(7483(a,1),8776(a,1,2,1,1)),flip(a)]. 9022 K(x,T(T(y,T(z,u)),w) * v5) = K(x,T(T(y,z),w) * v5). [para(2243(a,1),9021(a,2,2,1))]. 9024 K(x,T(T(y,z),u) * T(z,w)) = K(x,T(z,w) * T(y,u)). [hyper(5023,a,9022,a),flip(a)]. 9025 K(x,T(y * z,u * y)) = K(x,T(z,u) * T(y,u)). [hyper(57,a,8129,a,b,9024,a)]. 9026 K(x,T(y * (z \ u),z * y)) = K(x,(u / z) * T(y,z)). [hyper(230,a,7150,a(flip),b,9025,a),flip(a)]. 9027 K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T((u \ 1) * y,L(z,u,u \ 1))). [para(1098(a,1),9025(a,1,2,2)),flip(a)]. 9028 K(x,T((K(y,z) / u) * (K(z,y) \ w),K(z,y) * (K(y,z) / u))) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [para(4784(a,1),9026(a,2,2,2))]. 9029 T(x,T(y * (z \ K(y,u)),w)) = T(x,T(T(y,u) / z,w)). [hyper(57,a,3807,a(flip),b,8812,a),flip(a)]. 9030 K(x,y * T(z,y * K(u,w))) = K(x,z * ((y / T(w,u)) * T(w,u))). [para(2513(a,1),8881(a,1,2,2,2))]. 9031 K(x,y * T(z,y * K(u,w))) = K(x,z * y). [para(7(a,1),9030(a,2,2,2))]. 9032 K(x,(y * z) * T(u,y * (z * K(w,v5)))) = K(x,u * (y * z)). [para(4587(a,1),9031(a,1,2,2,2))]. 9033 K(x,(y * (z \ K(u,w))) * T(v5,y / z)) = K(x,v5 * (y * (z \ K(u,w)))). [para(4832(a,1),9032(a,1,2,2))]. 9034 (K(x,y) * z) * (K(u,w) * K(v5,v6)) = K(x,y) * ((z * K(u,w)) * K(v5,v6)). [hyper(57,a,8510,a(flip),b,8921,a),flip(a)]. 9035 K((x * y) / (K(z,u) * y),w) = K(v5,K(w,x)) * K(K(u,z) * x,T(w,v5)). [hyper(57,a,3454,a(flip),b,8976,a),flip(a)]. 9036 x \ T(y * T(x,K(z,u)),K(u,L(z,w,v5))) = T(y,R(K(u,z),w,v5) * x). [para(3796(a,1),9016(a,1,2))]. 9037 K(x,(y * (z \ K(u,w))) * T(v5,z \ y)) = K(x,v5 * (y * (z \ K(u,w)))). [hyper(57,a,7668,a(flip),b,9033,a)]. 9038 (K(x,y) * z) * (K(u,w) * K(v5,v6)) = K(x,y) * (z * (K(u,w) * K(v5,v6))). [para(8909(a,1),9034(a,2,2))]. 9040 T(x,R(K(y,z),u,w) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(8561(a,1),9036(a,1,2)),flip(a)]. 9041 T(x,R(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [hyper(230,a,7130,a(flip),b,9040,a),flip(a)]. 9043 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(6845(a,1),9041(a,1,2,1))]. 9044 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(6846(a,1),9041(a,1,2,1))]. 9045 T(x,(y * (z * K(u,w))) \ v5) = T(x,K(w,u) * ((y * z) \ v5)). [hyper(57,a,8936,a(flip),b,9043,a)]. 9046 K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). [para(9044(a,1),1589(a,2,2))]. 9047 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(9046(a,2),1634(a,1))]. 9048 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,K(u,w) * (y * z)). [hyper(9047,a,8732,a),flip(a)]. 9049 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(9047,a,7479,a),flip(a)]. 9050 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. [para(7479(a,1),9047(a,1))]. 9051 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). [hyper(230,a,7539,a(flip),b,9049,a),flip(a)]. 9052 K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). [hyper(57,a,8736,a(flip),b,9049,a)]. 9053 K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). [hyper(57,a,8937,a(flip),b,9051,a),flip(a)]. 9054 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). [hyper(57,a,8736,a(flip),b,9051,a)]. 9055 K(x,y * K(L(z,u,w),v5)) != v6 | K(x,K(z,v5) * y) = v6. [para(4573(a,1),9050(a,1,2,2))]. 9056 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (z * K(u,w))). [hyper(230,a,8732,a(flip),b,9048,a),flip(a)]. 9057 K(x,K(y,z) * (u * (w * (v5 * y)))) = K(x,u * (w * (v5 * T(y,z)))). [para(4638(a,1),9048(a,1,2,2)),flip(a)]. 9059 K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(y,z))). [hyper(57,a,8757,a(flip),b,9056,a)]. 9060 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * ((w * v5) * K(z,u))). [hyper(57,a,7717,a(flip),b,9056,a)]. 9063 K(x,y \ (z * (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z * v5))). [hyper(57,a,8767,a,b,9052,a)]. 9065 K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). [hyper(57,a,8003,a(flip),b,9054,a),flip(a)]. 9067 K(x,((y * K(z,u)) * w) * v5) = K(x,(y * w) * (v5 * K(z,u))). [hyper(57,a,7696,a(flip),b,9059,a)]. 9069 K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * (w * (K(y,z) * v5))). [hyper(5003,a,9063,a),flip(a)]. 9070 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = K(x,a(u,w,K(y,z) * v5)). [para(9(a,2),9063(a,1,2)),flip(a)]. 9071 K(x,K(y,L(T(z,u),u,w)) * (v5 \ (v6 * ((u * K(z,y)) * w)))) = K(x,v5 \ (v6 * (u * w))). [para(6972(a,1),9063(a,1,2,2,2)),flip(a)]. 9072 K(x,(y * K(z,u)) * (w * K(v5,v6))) = K(x,(y * w) * (K(v5,v6) * K(z,u))). [hyper(8777,a,9067,a)]. 9073 K(x,y * (T(T(y,z),T(z,u)) \ (w * (v5 * z)))) = K(x,T(K(z,y),u) * (w * (v5 * T(z,y)))). [para(2989(a,1),9057(a,1,2))]. 9074 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(u,z)). [para(93(a,1),9065(a,1,2,1,2)),flip(a)]. 9075 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). [para(13(a,2),9074(a,1,2)),flip(a)]. 9076 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (K(w,v5) * u))). [hyper(8747,a,9069,a)]. 9077 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). [hyper(57,a,9060,a,b,9076,a)]. 9078 K(x,(y * z) * (K(u,w) * K(v5,v6))) = K(x,y * ((z * K(u,w)) * K(v5,v6))). [hyper(8778,a,9072,a),flip(a)]. 9079 K(x,(y * z) * (K(u,w) * K(v5,v6))) = K(x,y * (z * (K(u,w) * K(v5,v6)))). [para(8909(a,1),9078(a,2,2,2))]. 9080 L(x,K(y,z) * u,K(u,w)) != v5 | x = v5. [para(8950(a,1),241(a,1))]. 9081 (K(x,y) / x) * ((y * x) * K(z,L(u,y,x))) = L(y,x,x \ 1) * K(z,u). [para(6893(a,1),8542(a,1,2,2))]. 9083 (K(x,y) / x) * (x * (T(y,x) * K(z,u))) = L(y,x,x \ 1) * K(z,u). [para(4590(a,1),9081(a,1,2))]. 9084 L(T(x,y) * K(z,u),y,y \ K(y,x)) * T((K(y,x) / y) * y,T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). [hyper(57,a,5087,a,b,9083,a)]. 9085 (x \ 1) * T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ 1. [para(5758(a,1),8593(a,1,2,1))]. 9086 x \ T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ 1. [hyper(57,a,5831,a(flip),b,9085,a)]. 9087 T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ x. [hyper(32,a,1123,a,b,9086,a),flip(a)]. 9088 L(T(R(x,y,z) \ x,u) \ 1,(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). [para(9087(a,2),7403(a,2,1,1)),flip(a)]. 9089 K(x,K(y,z \ u)) * K(x,y \ ((y \ z) \ u)) = K(x,((y \ z) \ u) / y). [para(3574(a,1),8618(a,1,1,2))]. 9090 K(x,K(y,z \ u)) * K(x,y \ ((y \ y) \ ((z \ y) * u))) = K(x,((y \ y) \ ((z \ y) * u)) / y). [para(5103(a,1),9089(a,1,1,2))]. 9091 K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,T(z * u,w) \ (u * v5))). [hyper(230,a,8536,a(flip),b,8623,a),flip(a)]. 9092 K((x * K(y,z)) \ (y \ u),K(w,v5)) = K(x \ (T(T(y,z),K(x,z)) \ u),K(w,v5)). [hyper(57,a,8671,a(flip),b,8674,a)]. 9093 K(x,K(y,z) * (u * (w * T(y,v5)))) = K(x,u * (T(T(y,v5),z) * T(w,y))). [hyper(7684,a,8752,a)]. 9095 K(x,K(y,z) * (u * (w * T(y,v5)))) != v6 | K(x,u * (w * T(T(y,v5),z))) = v6. [para(9093(a,2),8044(a,1))]. 9096 K(a(x,x \ y,y \ z),u) * z = y * T(y \ z,a(x,x \ y,u)). [hyper(230,a,123,a(flip),b,8783,a),flip(a)]. 9098 K(a(x,x \ y,y \ z),u) * z = y * T(y \ z,a(x,y,u)). [para(7118(a,1),9096(a,2,2))]. 9099 a(x,x \ y,K(y \ z,u)) * z = y * T(y \ z,a(x,y,u)). [para(4865(a,2),9098(a,1,1))]. 9100 a(x,x \ y,K(z,u \ y)) * u = y * T(y \ u,a(x,y,z)). [para(2039(a,1),9099(a,1,1,3))]. 9101 a(x,y,K(z,u \ y)) * u = y * T(y \ u,a(x,y,z)). [para(6931(a,1),9100(a,1,1))]. 9102 T(x,T(y \ K(z,T(u,w)),v5)) = T(x,K(y \ K(z,u),v5) * (y \ K(z,u))). [para(8655(a,1),8802(a,1,2,1)),flip(a)]. 9103 T(x,T(y \ K(z,T(u,w)),v5)) = T(x,T(y \ K(z,u),v5)). [para(1610(a,2),9102(a,2,2))]. 9105 T(x,T((y / T(z,u)) \ 1,w)) = T(x,T((y / z) \ K(z,u),w)). [hyper(57,a,7619,a(flip),b,9103,a)]. 9107 T(x,T((y / T(z,K(u,w))) \ 1,v5)) = T(x,T((y / z) \ 1,v5)). [hyper(230,a,7690,a(flip),b,9105,a),flip(a)]. 9109 K(x,T(y * (z \ (K(u,w) * v5)),v6)) != v7 | K(x,T(y * (K(u,w) * (z \ v5)),v6)) = v7. [para(8815(a,1),5373(a,1))]. 9110 K(x,L(T(y,z / (u * (w \ 1))),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w * (u \ z),y)). [para(4766(a,1),8895(a,2,2))]. 9111 K(x,K(y,z) * (u \ (K(u,K(y,z) * (u \ w)) * w))) = K(x,w / (K(z,y) * u)). [hyper(57,a,8928,a(flip),b,8932,a)]. 9112 K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * (w * K(z,u))) / v5). [hyper(8969,a,8970,a),flip(a)]. 9113 K(x,K(y,z)) * K(K(u,w) * T(z,x),y) = K((z * x) / (K(w,u) * x),y). [para(3819(a,1),8998(a,1,1))]. 9114 K(K(x,y) * T(z,u),w) = K(K(x,y) * z,T(w,u)). [hyper(28,a,9035,a(flip),b,9113,a),flip(a)]. 9115 K(K(x,y) * T(K(y,x) * z,u),w) = K(z,T(w,u)). [para(2124(a,1),9114(a,2,1))]. 9117 K(x * K(K(y,z) * x,u),w) = K(x,T(w,u)). [hyper(57,a,8145,a(flip),b,9115,a)]. 9118 K(x * K(K(y,z) * x,u),K(w,v5) * (v6 \ v7)) = K(x,T(v6 \ (v7 * K(w,v5)),u)). [hyper(8737,a,9117,a)]. 9120 K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,(z * u) \ (u * v5))). [hyper(230,a,7801,a(flip),b,9091,a),flip(a)]. 9122 K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,u \ (z \ (u * v5)))). [hyper(230,a,8535,a(flip),b,9120,a),flip(a)]. 9123 K(x,T(y,K(z,u * w) * (T(u,w) \ v5))) = K(x,T(y,w \ (u \ (w * v5)))). [para(2129(a,1),9122(a,1,2,2))]. 9124 K(x,T(y,z \ (u \ (z * w)))) = K(x,T(y,K(v5,u * z) * (u \ w))). [hyper(57,a,7820,a(flip),b,9123,a),flip(a)]. 9126 K(x,T(y,z \ (u \ (z * w)))) = K(x,T(y,u \ w)). [hyper(230,a,7795,a(flip),b,9124,a),flip(a)]. 9128 K(x,T(y,(z * u) \ (w * u))) = K(x,T(y,z \ w)). [hyper(57,a,8622,a,b,9126,a)]. 9129 K(x,T(y,(z * (u \ w)) \ w)) = K(x,T(y,z \ u)). [para(5(a,1),9128(a,1,2,2,2))]. 9130 K(x,T(y * (z \ u),y \ z)) = K(x,T(y * (z \ u),u)). [hyper(57,a,1861,a(flip),b,9129,a),flip(a)]. 9131 K(x,T(y * (z \ u),z * y)) = K(x,T(y * (z \ u),u)). [hyper(7586,a,9130,a)]. 9132 K(x,T(y * T(z,u),u * y)) = K(x,T(y * (u \ (z * u)),z * u)). [para(17(a,2),9131(a,1,2,1,2))]. 9133 K(x,T(y * T(z,u),u * y)) = K(x,T(y * T(z,u),z * u)). [para(17(a,2),9132(a,2,2,1,2))]. 9134 K(x,T(y * T(z,u),u * z)) = K(x,T(y * T(z,u),u * y)). [hyper(230,a,7416,a,b,9133,a)]. 9135 K(T(x * T(y,z),y * z),u) = w / (K(u,T(x * T(y,z),z * x)) * w). [para(9133(a,2),2131(a,1,2,1)),flip(a)]. 9136 K(x,T(y * T(z,u),u * y)) = K(x,z * T(y,u \ 1)). [hyper(57,a,8380,a(flip),b,9134,a),flip(a)]. 9137 K(T(x * T(y,z),y * z),u) = w / (K(u,y * T(x,z \ 1)) * w). [para(9136(a,1),9135(a,2,2,1))]. 9138 K(T(x * T(y,z),y * z),u) = K(y * T(x,z \ 1),u). [hyper(230,a,2131,a(flip),b,9137,a),flip(a)]. 9139 K(x * T(y,z),T(u,y * z)) = K(y * T(x,z \ 1),u). [hyper(2416,a,9138,a)]. 9140 K(K(x,y) \ (z \ (x \ u)),K(w,v5)) = K(z \ (T(T(x,y),K(z,y)) \ u),K(v5,w)). [hyper(57,a,8671,a(flip),b,9092,a)]. 9141 K(x,K(y,z) * (u \ (w * K(u,K(y,z) * (u \ w))))) = K(x,w / (K(z,y) * u)). [hyper(57,a,7699,a(flip),b,9111,a)]. 9142 K(x,T(y \ (z * K(u,w)),v5)) = K(x,T(K(u,w) * (y \ z),v5)). [hyper(57,a,9117,a(flip),b,9118,a),flip(a)]. 9143 K(x,T((K(y,z) / u) * w,v5)) = K(x,T(K(y,z) * (u \ w),v5)). [hyper(57,a,8896,a(flip),b,9142,a)]. 9144 K(x \ (T(T(y,z),K(x,z)) \ u),K(w,v5)) = K(K(z,y) * (x \ (y \ u)),K(v5,w)). [para(2129(a,1),9140(a,1,1)),flip(a)]. 9145 K(x,K(y,z) * ((u \ w) * K(u,K(y,z) * (u \ w)))) = K(x,w / (K(z,y) * u)). [hyper(8814,a,9141,a)]. 9146 K(K(x,y) * (z \ (y \ u)),K(w,v5)) = K(z \ (T(y,x) \ u),K(v5,w)). [hyper(57,a,9020,a(flip),b,9144,a),flip(a)]. 9148 K(x \ (T(y,z) \ u),K(w,v5)) = K(x \ (y \ u),K(v5,w)). [hyper(57,a,7958,a(flip),b,9146,a),flip(a)]. 9149 K(x,K((T(y,z) \ u) \ w,v5)) = K(w \ (y \ u),K(x,v5)). [hyper(3849,a,9148,a)]. 9153 K(x,K(y \ (T(z,u) * w),v5)) = K(w \ (z \ y),K(x,v5)). [hyper(57,a,8520,a(flip),b,9149,a)]. 9154 K(x,K(y \ (T(z,u) * w),v5)) != v6 | K(x,K(v5,y \ (z * w))) = v6. [para(9153(a,2),8695(a,1))]. 9156 K(x,T(K(y,z) * (u \ w),u)) = K(x,w / (K(z,y) * u)). [hyper(57,a,5220,a(flip),b,9145,a)]. 9157 K(x,T(K(y,z) * (u \ w),u)) = K(x,w * (u \ K(y,z))). [hyper(230,a,4803,a(flip),b,9156,a),flip(a)]. 9158 K(x,(y * z) * (y \ K(u,w))) = K(x,T(K(u,w) * z,y)). [para(4(a,1),9157(a,1,2,1,2)),flip(a)]. 9159 K(x,K(y,z) * ((u * w) / u)) = K(x,T(K(y,z) * w,u)). [hyper(8968,a,9158,a)]. 9160 K(x,K(y,z) * (u * (w / u))) = K(x,T(K(y,z) * w,u)). [hyper(57,a,2660,a(flip),b,9159,a)]. 9161 K(x \ K(x,y),K(z,u * L(y,x,x \ 1))) = K(K(x,y) / x,K(z,(y * x) * u)). [hyper(7463,a,8688,a)]. 9162 T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (a(x,z,K(y,u \ z)) \ u). [para(3515(a,1),8758(a,1,2,1,3)),flip(a)]. 9164 T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,z / (K(v6,T(v5,y \ z)) * y)). [para(2226(a,1),8810(a,2,2,2,1))]. 9165 K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T((u \ 1) * y,z)). [hyper(230,a,8511,a(flip),b,9027,a),flip(a)]. 9167 K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T(u \ y,z)). [hyper(230,a,4861,a(flip),b,9165,a),flip(a)]. 9168 K(x,T(y,z * u) / T(u,z * u)) = K(x,T(u \ y,z)). [hyper(5034,a,9167,a)]. 9169 K(x,T(y,z * u) / T(u,z)) = K(x,T(u \ y,z)). [hyper(57,a,5186,a(flip),b,9168,a)]. 9170 K(x,T(y \ (z \ (u * y)),u)) = K(x,((u * y) / z) / T(y,u)). [hyper(8111,a,9169,a),flip(a)]. 9171 K(x,K(y,z) * (((z * y) / u) / y)) = K(x,T(y \ (u \ (z * y)),z)). [hyper(230,a,7549,a,b,9170,a)]. 9172 K(x,T(y \ (z \ (u * y)),u)) = K(x,((y * u) / z) / y). [para(5073(a,1),9171(a,1,2)),flip(a)]. 9173 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(57,a,9053,a(flip),b,9075,a),flip(a)]. 9175 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(13(a,2),9173(a,2,2))]. 9176 K(x,L(y,z,T(u,w) * v5)) = K(x,L(y,z,u * v5)). [para(1778(a,1),9175(a,1,2,3))]. 9177 K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). [para(1819(a,1),9175(a,1,2,3)),flip(a)]. 9178 K(x,L(y * z,u,z \ w)) = K(x,L(y * z,u,y * w)). [hyper(57,a,7179,a(flip),b,9176,a)]. 9179 K(x,L(y,z,T(u,w) \ v5)) = a(x,z,K(u \ v5,y)) * K(x,y). [hyper(230,a,6711,a,b,9177,a),flip(a)]. 9180 K(x,L(y / T(z,u),w,z \ w)) = K(x,(y * (T(z,u) \ w)) / w). [hyper(57,a,7119,a(flip),b,9177,a),flip(a)]. 9181 K(x,L(y,z,((u \ w) \ w) \ v5)) = K(x,L(y,z,u \ v5)). [para(94(a,1),9177(a,1,2,3,1))]. 9183 K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,(z * (y / z)) \ w)). [para(5507(a,1),9178(a,1,2,1)),flip(a)]. 9184 K(x,L(y,z,u \ (w \ u))) = K(x,L(y,z,w \ 1)). [hyper(8819,a,9181,a)]. 9185 K(x,L((((y \ z) \ z) \ 1) * u,w,y \ w)) = K(x,w \ ((w / ((((y \ z) \ z) \ 1) \ 1)) * u)). [hyper(57,a,7317,a(flip),b,9181,a),flip(a)]. 9186 K(x,L(y,z,(u * w) \ w)) = K(x,L(y,z,u \ 1)). [para(4(a,1),9184(a,1,2,3,2))]. 9187 K(x,L((y * z) \ u,u,y \ 1)) = K(x,(z * K(y \ 1,y * z)) \ (((y * z) \ z) * u)). [hyper(57,a,4654,a(flip),b,9186,a),flip(a)]. 9188 K(x,L(y,z,T(u \ 1,w) \ v5)) = a(x,z,K(u * v5,y)) * K(x,y). [para(4766(a,1),9179(a,2,1,3))]. 9189 K(x,L(y,z,T(u,w) \ v5)) != v6 | K(x,L(y,z,u \ v5)) = v6. [para(9179(a,2),6886(a,1))]. 9190 K(x,L(y,z,((u \ w) \ w) \ v5)) != v6 | K(x,L(y,z,u \ v5)) = v6. [para(94(a,1),9189(a,1,2,3,1))]. 9191 K(x,L(y,z,(u / w) \ v5)) != v6 | K(x,L(y,z,(w \ u) \ v5)) = v6. [para(742(a,1),9189(a,1,2,3,1))]. 9192 K(x,L(y \ z,u,y \ u)) = K(x,(z * (T(y,z) \ u)) / u). [hyper(57,a,4680,a(flip),b,9180,a)]. 9193 K(x,(y * (T(z,y) \ u)) / u) = K(x,u \ ((u / z) * y)). [hyper(57,a,6899,a(flip),b,9192,a),flip(a)]. 9194 K(x,L(y,z,T(u \ 1,w) \ v5)) = K(x,L(y,z,u * v5)). [hyper(230,a,6711,a(flip),b,9188,a),flip(a)]. 9195 K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,u * w)). [hyper(9189,a,9194,a)]. 9196 K(x,L(y,z,(u \ 1) * w)) != v5 | K(x,L(y,z,u \ w)) = v5. [para(9195(a,1),9190(a,1))]. 9197 K(K(x,y) / x,K(z,(y * x) * u)) = K(u * L(y,x,x \ 1),K(z,x)). [hyper(57,a,7844,a(flip),b,9161,a),flip(a)]. 9199 K(K(x,y) / x,K(z,(y * x) * u)) = K(x,K(u * L(y,x,x \ 1),z)). [hyper(230,a,3736,a(flip),b,9197,a),flip(a)]. 9200 K(x \ K(x,y),K(z,(y * x) * u)) = K(x,K(u * L(y,x,x \ 1),z)). [hyper(7463,a,9199,a)]. 9201 K(x,K(y * L(z,x,x \ 1),u)) = K((z * x) * y,K(u,x)). [hyper(57,a,7844,a(flip),b,9200,a),flip(a)]. 9203 K(x,K(y * L(z,x,x \ 1),u)) = K(x,K((z * x) * y,u)). [hyper(230,a,3736,a(flip),b,9201,a),flip(a)]. 9204 K(x,K(y * L(z,x,x \ 1),u)) = K(z * y,K(u,x)). [hyper(230,a,8829,a(flip),b,9203,a),flip(a)]. 9205 T(x,y \ (T(z,y \ 1) * K(u,w))) = T(x,z / (K(w,T(u,y \ z)) * y)). [para(591(a,1),9164(a,1,2,2,1,2,2))]. 9206 T(x,y / (K(z,T(u,w \ y)) * w)) = T(x,K(u,z) * (w \ T(y,w \ 1))). [hyper(57,a,8941,a(flip),b,9205,a),flip(a)]. 9207 T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (K(T(y,u \ w),z) / u)). [hyper(57,a,7723,a(flip),b,9206,a),flip(a)]. 9208 T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (K(y,T(z,u \ w)) / u)). [para(2226(a,1),9207(a,2,2,2,1))]. 9209 T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (u \ K(y,T(z,u \ w)))). [hyper(230,a,7664,a(flip),b,9208,a),flip(a)]. 9210 T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (u \ K(y,z))). [hyper(230,a,8800,a(flip),b,9209,a),flip(a)]. 9212 K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y / (z \ T(z * K(u,w),v5))). [para(7537(a,1),8451(a,1,2,2))]. 9213 K(x,y / (z \ T(z * K(u,w),v5))) = K(x,y * (K(v5,z) * K(w,u))). [hyper(57,a,8208,a(flip),b,9212,a),flip(a)]. 9214 (x * L(y,z,u)) * K(y \ L(y,z,u),L(w,y,x)) = x * L(y,z,T(u,w)). [para(5(a,1),8596(a,1,1,2))]. 9216 (x * L(y,z,u)) * a(w,z,K(y,L(u,y,x))) = x * L(y,z,T(u,w)). [para(7263(a,1),9214(a,1,2))]. 9217 (x * L(y,z,u)) * a(w,z,K(y,u)) = x * L(y,z,T(u,w)). [para(3170(a,1),9216(a,1,2,3))]. 9218 x * T(x \ ((x / y) * L(y,z,u)),w) = (x / y) * L(y,z,T(u,w)). [hyper(7268,a,9217,a)]. 9220 (x / T(y,z)) * L(T(y,z),u,w) = (x / y) * L(y,u,T(w,z)). [hyper(6423,a,9218,a)]. 9221 (x * (y * T(z,u))) / T(z,u) = ((x * y) / z) * L(z,y,T(x,u)). [hyper(1368,a,9220,a)]. 9222 (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = ((x * y) / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x). [para(6336(a,1),9221(a,2,2))]. 9223 L(x,a(y,z,K(u,w)),v5) * (v5 * a(y,z,K(u,w))) = (a(y,z,K(u,w)) * x) * v5. [hyper(230,a,589,a(flip),b,8706,a),flip(a)]. 9224 a(x,y,K(z,u)) \ T(w,v5 * a(u,y,K(z,x))) = v5 \ ((a(u,y,K(z,x)) * w) * v5). [para(9223(a,1),6823(a,1,2)),flip(a)]. 9225 a(x,y,K(z,u)) \ T(w,v5 * a(u,y,K(z,x))) = T(a(u,y,K(z,x)) * w,v5). [hyper(230,a,17,a,b,9224,a),flip(a)]. 9226 T(a(x,y,K(z,u)) * w,v5) = a(u,y,K(z,x)) \ T(w,v5). [para(8705(a,1),9225(a,1,2)),flip(a)]. 9227 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [hyper(230,a,6705,a(flip),b,9226,a),flip(a)]. 9229 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(8490(a,1),9227(a,1,1))]. 9230 K(x,y * ((z * u) / T(T(T(z,u),w),v5))) = K(x,y * (K(w,z) * (u * K(v5,z)))). [hyper(230,a,8785,a(flip),b,8842,a),flip(a)]. 9232 K(x,y * (K(z,u) * (w * K(v5,u)))) = K(x,y * (u * (T(T(u,z),v5) \ w))). [para(8844(a,1),9230(a,1,2,2)),flip(a)]. 9233 K(x,L(T(y,z * (u * (w \ 1))),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w * (u \ z),y)). [para(8183(a,1),9110(a,1,1))]. 9234 K(x * (y * (z \ 1)),K(u,w)) = K(u,K(z * (y \ x),w)). [hyper(57,a,8858,a(flip),b,9233,a)]. 9235 K(x,K(y,z * (u * (w \ 1)))) = K(x,K(w * (u \ z),y)). [hyper(3837,a,9234,a)]. 9236 K(x,K(y * L(z,u,u \ 1),w)) = K(x,K(u * ((u * z) \ y),w)). [hyper(57,a,8075,a(flip),b,9235,a)]. 9237 K(x,K(x * ((x * y) \ z),u)) = K(y * z,K(u,x)). [hyper(57,a,9204,a(flip),b,9236,a),flip(a)]. 9238 K((x * y) \ z,K(u,x)) = K(y * z,K(u,x)). [hyper(57,a,8861,a(flip),b,9237,a)]. 9239 K(x,K((x * y) \ z,u)) = K(y * z,K(u,x)). [hyper(3787,a,9238,a)]. 9240 K(x,K(y \ (x \ z),u)) = K(y * z,K(u,x)). [hyper(8564,a,9239,a)]. 9241 K(x \ y,K(z,u)) = K(x * y,K(u,z)). [hyper(4033,a,9240,a)]. 9242 K(x * y,K(z,x \ (y * u))) = K(u,K(x \ y,z)). [hyper(57,a,8840,a(flip),b,9241,a),flip(a)]. 9243 K(x * y,K(z,x * (y * u))) = K(u,K(x \ y,z)). [hyper(7422,a,9242,a)]. 9244 K(x,K(y \ z,u)) = K(x,K(y * z,u)). [hyper(57,a,8894,a(flip),b,9243,a),flip(a)]. 9245 K(x,K(y * z,u)) * K(x,(z / y) / u) = K(x,u \ (z / y)). [para(9244(a,1),7502(a,1,1))]. 9246 K(x,K(y * z,u)) * K(x,(z * (y \ 1)) / u) = K(x,u \ (z * (y \ 1))). [para(9244(a,1),7552(a,1,1))]. 9247 K(x,K(y,z * u)) * K(x,(u / z) / y) = K(x,y \ (u / z)). [para(3753(a,1),9245(a,1,1))]. 9248 K(x,K(y,z * u)) * K(x,(u * (z \ 1)) / y) = K(x,y \ (u * (z \ 1))). [para(3753(a,1),9246(a,1,1))]. 9249 (K(x,K(y,z)) * ((u * w) * v5)) / (K(y,K(x,z)) * (w * v5)) = R(u,K(x,K(z,y)) * w,v5). [para(8477(a,1),8786(a,1,2))]. 9250 K((x \ T(y,z)) * R(u,K(y,T(z,x)),x \ y),w) = K((x \ T(y,z)) * u,w). [para(5543(a,1),8797(a,1,1,2,2))]. 9251 K((x \ T(y,z)) * L(u,K(y,T(z,x)),x \ y),w) = K((x \ T(y,z)) * u,w). [para(8159(a,1),9250(a,1,1,2))]. 9252 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) != v6 | a(x,w,K(K(y,z) * v5,u)) = v6. [para(9070(a,2),6802(a,1))]. 9253 K(x,K(y,T(z,u)) * (w \ (v5 * ((u * K(z,y)) * v6)))) = K(x,w \ (v5 * (u * v6))). [hyper(9047,a,9071,a)]. 9254 K(x,K(y,z) * (u \ (w * ((v5 * K(z,y)) * v6)))) = K(x,u \ (w * (v5 * v6))). [hyper(7684,a,9253,a)]. 9256 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (K(y * z,y \ 1) * (((y * z) \ z) * u))). [hyper(230,a,8913,a(flip),b,9187,a),flip(a)]. 9258 (K(x,y) * K(z,u)) * K(T(K(z,u) * K(x,y),x),K(u,z) * x) = (K(u,z) * x) \ T(x,y). [para(2476(a,2),8612(a,1,2,1))]. 9259 K(x,T(K(y,z) * u,w) * K(y,L(z,v5,v6))) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). [para(6846(a,1),8741(a,1,2,2))]. 9260 T(T(x,K(y,z * u)),((K(w,v5) * z) * u) \ y) = T(x,y / ((K(w,v5) * z) * u)). [para(7863(a,1),8756(a,1,1))]. 9262 K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * z) * (K(z,w * K(u,v5)) * v6)). [hyper(7966,a,8772,a),flip(a)]. 9264 K(x,(T(y,z) * u) / (w * T(y,z))) = K(x,(y * u) / (w * y)). [hyper(230,a,4048,a(flip),b,8953,a),flip(a)]. 9265 L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) = L(x,T(y,w),K(z,u)). [hyper(230,a,13,a,b,9015,a),flip(a)]. 9266 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(9080,a,9265,a),flip(a)]. 9267 L(x,T(y,z),K(y \ 1,u)) = x. [hyper(230,a,1714,a(flip),b,9266,a),flip(a)]. 9268 L(x,T(y \ z,u),K(z \ y,w)) = x. [para(2032(a,1),9267(a,1,3))]. 9269 L(x,T((y * z) \ z,u),K(T(y,z),w)) = x. [para(17(a,2),9268(a,1,3,1))]. 9270 L(x,T((y * z) \ z,u),K(y,w)) = x. [para(3866(a,1),9269(a,1,3))]. 9271 L(x,(y * z) \ z,K(y,u)) = x. [hyper(2830,a,9270,a)]. 9273 L(x,(y * z) \ z,K(u,y \ 1)) = x. [hyper(57,a,2599,a,b,9271,a)]. 9274 K(x * y,x \ 1) * (((x * y) \ y) * z) = (y / (x * y)) * z. [para(9273(a,1),2712(a,1,2)),flip(a)]. 9275 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ ((z / (y * z)) * u)). [para(9274(a,1),9256(a,2,2,2))]. 9276 K(x,T(K(y,z),u) * (w * (v5 * T(y,z)))) = K(x,z * (T(T(z,y),y) \ (w * (v5 * y)))). [hyper(57,a,8682,a(flip),b,9073,a),flip(a)]. 9278 K(x,K(y,T(z,u)) * (w * (v5 * T(y,z)))) = K(x,z * (T(T(z,y),y) \ (w * (v5 * y)))). [para(1974(a,2),9276(a,1,2,1))]. 9279 K(x,y * (T(T(y,z),z) \ (u * (w * z)))) = K(x,u * (w * T(T(z,y),T(y,v5)))). [hyper(9095,a,9278,a),flip(a)]. 9280 K(x,y * (T(T(y,z),z) \ (u * (w * z)))) = K(x,u * (w * T(T(z,y),y))). [hyper(230,a,7720,a(flip),b,9279,a),flip(a)]. 9281 K(x,y * (z * T(T(u,w),w))) = K(x,y * (z * u)). [hyper(57,a,7148,a(flip),b,9280,a),flip(a)]. 9283 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(93(a,1),9281(a,1,2,2))]. 9284 K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). [para(181(a,1),9281(a,1,2,2,2,1)),flip(a)]. 9285 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [para(652(a,2),9283(a,1,2,2))]. 9286 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [para(7(a,1),9285(a,1,2,2,1)),flip(a)]. 9287 K(x,T(K(y,z) * u,w)) = K(x,K(y,z) * T(u,w)). [hyper(57,a,9160,a(flip),b,9286,a)]. 9288 T(x,y * (z * (u / z))) = x * K(x,y * T(u,z)). [para(9286(a,1),1592(a,2,2))]. 9289 T(x,y * (z * (u / z))) = T(x,y * T(u,z)). [hyper(230,a,1592,a,b,9288,a),flip(a)]. 9290 T(x,y / T(z,u \ 1)) = T(x,y * T(1 / z,u)). [hyper(57,a,4978,a(flip),b,9289,a)]. 9291 T(x,y / T(z,u \ 1)) = T(x,y / T(z,u)). [hyper(230,a,4900,a(flip),b,9290,a),flip(a)]. 9292 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [hyper(57,a,7760,a(flip),b,9291,a)]. 9293 T(x,(y * (z / y)) \ u) = T(x,T(u,z) / T(z,y)). [hyper(57,a,7693,a(flip),b,9292,a)]. 9294 T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). [hyper(230,a,7694,a(flip),b,9293,a),flip(a)]. 9295 T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). [para(6(a,1),9294(a,1,2,1,2)),flip(a)]. 9296 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [para(652(a,1),9295(a,1,2,1))]. 9297 K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(w \ 1,(z * u) / z))). [para(1841(a,1),9284(a,1,2,2)),flip(a)]. 9298 (K(x,y) * K(z,u)) * K(K(z,u) * K(x,y),T(K(u,z) * x,x)) = (K(u,z) * x) \ T(x,y). [para(2226(a,1),9258(a,1,2))]. 9299 K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,K(y,z) * T(K(y,z) * v5,v6)). [hyper(9050,a,9259,a),flip(a)]. 9300 K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,T(K(y,z) * (K(y,z) * v5),v6)). [hyper(230,a,9287,a,b,9299,a),flip(a)]. 9302 K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). [para(2864(a,1),9300(a,2,2,1))]. 9303 K(x,K(y,L(z,u,w)) * T(v5 * K(y,z),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). [para(6846(a,1),9302(a,1,2,1))]. 9304 K(x,T(K(y,L(z,u,w)) * (v5 * K(y,z)),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). [hyper(57,a,9287,a,b,9303,a)]. 9305 K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,T(z * (T(T(z,y),y) \ u),w)). [para(588(a,1),9304(a,1,2,1,1,2))]. 9306 (K(x,y) * K(z,u)) * K(K(z,u) * K(x,y),x * K(u,z)) = (K(u,z) * x) \ T(x,y). [para(3874(a,1),9298(a,1,2))]. 9307 K(K(x,y),K(z,u)) * T(K(z,u) * K(x,y),x * K(u,z)) = (K(u,z) * x) \ T(x,y). [hyper(2546,a,9306,a)]. 9308 1 * T(K(x,y) * K(z,u),z * K(y,x)) = (K(y,x) * z) \ T(z,u). [para(7460(a,1),9307(a,1,1))]. 9309 T(K(x,y) * K(z,u),z * K(y,x)) = (K(y,x) * z) \ T(z,u). [hyper(100,a,9308,a)]. 9311 T(K(x,y) * K(z,u),z) = (K(y,x) * z) \ T(z,u). [hyper(57,a,8122,a(flip),b,9309,a)]. 9312 T(K(x,x \ (y * z)) * K(u,K(y * z,x)),u) = K(x,y / (x / z)). [hyper(230,a,7370,a(flip),b,9311,a),flip(a)]. 9313 T(K(x,T(x \ (y * z),u)),u) = K(x,y / (x / z)). [para(2007(a,1),9312(a,1,1))]. 9314 K(x,y / (x / z)) = K(x,x \ (y * z)). [hyper(5353,a,9313,a),flip(a)]. 9315 K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,(((x \ (y * z)) * x) / z) \ y) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(9314(a,1),2936(a,1,1))]. 9316 ((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(57,a,8644,a(flip),b,8633,a)]. 9317 K(x,L(((y \ z) \ z) \ u,w,y \ w)) = K(x,w \ ((w / ((((y \ z) \ z) \ 1) \ 1)) * u)). [hyper(57,a,5001,a(flip),b,9185,a)]. 9318 K(x,L(T(y \ z,z),u,y \ u)) = K(x,u \ ((u / ((((y \ z) \ z) \ 1) \ 1)) * z)). [hyper(57,a,4681,a(flip),b,9317,a)]. 9319 K(x,L(y / z,u,z \ u)) = K(x,u \ ((u / ((((z \ y) \ y) \ 1) \ 1)) * y)). [hyper(57,a,4012,a(flip),b,9318,a)]. 9320 K(x,y \ ((y / ((((z \ u) \ u) \ 1) \ 1)) * u)) = K(x,(u * (z \ y)) / y). [hyper(57,a,7119,a(flip),b,9319,a),flip(a)]. 9321 K(x,y \ ((y / ((z \ u) \ u)) * u)) = K(x,(u * (z \ y)) / y). [hyper(57,a,6978,a(flip),b,9320,a)]. 9322 (((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(8653(a,1),9316(a,1,1))]. 9323 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(9(a,2),9322(a,1,1,1))]. 9324 a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). [hyper(8532,a,9323,a)]. 9325 a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. [para(3778(a,1),9324(a,1,2)),flip(a)]. 9326 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(230,a,3,a(flip),b,9325,a),flip(a)]. 9328 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [para(2224(a,1),9326(a,1,3))]. 9329 a(x,y,K(z,K(u,w)) * K(v5 \ (v6 \ v7),v5)) = a(x,y,K(v6 \ (v5 \ v7),v5)). [para(3635(a,1),9328(a,1,3))]. 9330 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(u \ (z \ w),u)). [hyper(3315,a,9329,a),flip(a)]. 9331 a(x,y,K(z \ (u \ w),u)) = a(z \ w,y,K(u,x)). [hyper(230,a,6689,a(flip),b,9330,a),flip(a)]. 9332 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(x,y,K(w \ (T(T(z,z \ (w \ v5)),u) \ v5),T(T(z,z \ (w \ v5)),u))). [para(3668(a,2),9330(a,2,3,1)),flip(a)]. 9333 a(x,y,K(K(z,u \ 1) * (u * (w \ v5)),w)) = a(x,y,K(w \ (T(u \ 1,z) \ v5),w)). [para(5155(a,2),9330(a,1,3))]. 9334 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(z \ u,z,K(y,x)). [hyper(57,a,6788,a,b,9331,a)]. 9335 a(x,y,K(z \ (u * (z \ w)),z)) = a((u \ z) \ w,y,K(z,x)). [para(5138(a,1),9331(a,1,3))]. 9336 a(x,y,K(z \ (u * (z \ w)),z)) = a(z \ (u * w),y,K(z,x)). [hyper(230,a,6477,a(flip),b,9335,a),flip(a)]. 9337 a(x,y,K(z \ (u * (z \ w)),z)) = a(u * w,y,K(z,x)). [hyper(230,a,6470,a(flip),b,9336,a),flip(a)]. 9338 a(x * (y \ z),u,K(y,w)) = a(x * z,u,K(y,w)). [hyper(6800,a,9337,a)]. 9339 (K(x,K(y,z)) * (u \ w)) * (K(u,K(x,K(y,z)) * (u \ w)) * v5) = (w / (u * K(x,K(z,y)))) * v5. [para(8657(a,1),8658(a,1,2,1,2))]. 9340 K(x,K(y,z) * (u \ (w * v5))) * K(K(y,z) * (w * v5),K(x,u)) = K(x,(w * (v5 * K(y,z))) / u). [para(9052(a,1),8751(a,1,1))]. 9341 K(x,y * T(T(K(z,T(u,w)) * v5,v6),K(z,u))) = K(x,y * T(v5 * K(z,u),v6)). [hyper(7612,a,8882,a),flip(a)]. 9343 K(x,y * T(z * K(u,T(w,v5)),v6)) = K(x,y * T(z * K(u,w),v6)). [para(7635(a,1),9341(a,1,2,2))]. 9344 K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). [hyper(57,a,7933,a(flip),b,9343,a),flip(a)]. 9345 K(x,y * T(z * K(u,w),v5)) = K(x,y * (K(u,w) * T(z,v5))). [hyper(230,a,7652,a,b,9344,a),flip(a)]. 9346 K(x,T(y,z) * (K(u,w) * K(v5,v6))) = K(x,K(v5,v6) * T(y * K(u,w),z)). [hyper(230,a,8732,a(flip),b,9344,a)]. 9348 K(x,T(K(y,z) * (u * K(w,v5)),v6)) = K(x,T(u,v6) * (K(w,v5) * K(y,z))). [hyper(230,a,9287,a,b,9346,a)]. 9349 K(x,((y \ y) \ ((z \ y) * u)) / y) = K(x,K(y,z \ u)) * K(x,y \ (1 \ ((z \ y) * u))). [para(60(a,1),9090(a,1,2,2,2,1)),flip(a)]. 9350 K(x,((y \ y) \ ((z \ y) * u)) / y) = K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)). [para(59(a,1),9349(a,2,2,2,2))]. 9352 K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,(1 \ ((z \ y) * u)) / y). [para(60(a,1),9350(a,1,2,1,1)),flip(a)]. 9353 K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,((z \ y) * u) / y). [para(59(a,1),9352(a,2,2,1))]. 9355 (K(x,K(y,z)) * (u \ w)) * (K(u,u \ w) * v5) = (w / (u * K(x,K(z,y)))) * v5. [para(7639(a,1),9339(a,1,2,1))]. 9356 K(x,K(y,z)) * ((u \ w) * (K(u,u \ w) * v5)) = (w / (u * K(y,K(x,z)))) * v5. [hyper(57,a,8477,a(flip),b,9355,a)]. 9358 (x / (y * K(z,K(u,w)))) * v5 = K(u,K(z,w)) * ((x / y) * v5). [para(1905(a,1),9356(a,1,2)),flip(a)]. 9359 x / (y * K(z,K(u,w))) = (x / y) * K(w,K(u,z)). [hyper(29,a,7454,a(flip),b,9358,a),flip(a)]. 9360 R((x / y) * K(z,K(u,w)),y / K(z,K(w,u)),K(z,K(w,u))) = (x * K(w,K(z,u))) / y. [para(9359(a,1),4290(a,1,1))]. 9361 x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(y,u)). [para(7454(a,2),9359(a,1,2))]. 9362 ((K(x,K(y,z)) * ((u * w) * v5)) / (w * v5)) * K(x,K(y,z)) = R(u,K(x,K(z,y)) * w,v5). [hyper(57,a,9249,a(flip),b,9361,a),flip(a)]. 9363 (x * K(y,K(z,u))) / w = (x / w) * K(z,K(u,y)). [hyper(8518,a,9360,a),flip(a)]. 9364 (K(x,K(y,z)) * u) / w = (u / w) * K(x,K(y,z)). [para(7454(a,2),9363(a,1,1))]. 9365 (((x * y) * z) / (y * z)) * K(u,K(w,v5)) = R(x * K(u,K(v5,w)),y,z). [hyper(57,a,8897,a(flip),b,9364,a),flip(a)]. 9366 R(x * K(y,K(z,u)),w,v5) = R(x,w,v5) * K(y,K(u,z)). [para(15(a,2),9365(a,1,1)),flip(a)]. 9367 R(x * K(y,K(z,u)),w,v5) * K(y,K(u,z)) = R(x,K(y,K(z,u)) * w,v5). [para(8897(a,1),9362(a,1,1))]. 9368 R((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = R(x,K(y,K(z,u)) * w,v5). [hyper(57,a,9366,a,b,9367,a)]. 9369 R(x * (K(y,K(z,u)) * K(y,K(z,u))),w,v5) = R(x,K(y,K(z,u)) * w,v5). [para(8443(a,1),9368(a,1,1))]. 9370 R(x,K(y,K(z,u)) * w,v5) = R(x * 1,w,v5). [para(3778(a,1),9369(a,1,1,2)),flip(a)]. 9371 R(x,K(y,K(z,u)) * w,v5) = R(x,w,v5). [para(3(a,1),9370(a,2,1))]. 9373 R(x,K(y,T(z,u)),w) = R(x,K(y,z),w). [para(2365(a,1),9371(a,1,2))]. 9374 L(x,K(y,T(z,u)),w) = R(x,K(y,z),w). [hyper(57,a,8159,a(flip),b,9373,a)]. 9376 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [hyper(230,a,8159,a(flip),b,9374,a),flip(a)]. 9378 L(x,K(y,T(z,u)),K(w,v5) * v6) = L(x,K(y,z),v6 * K(w,v5)). [hyper(230,a,8516,a(flip),b,9376,a),flip(a)]. 9381 K((x \ T(y,z)) * L(u,K(y,z),x \ y),w) = K((x \ T(y,z)) * u,w). [para(9376(a,1),9251(a,1,1,2))]. 9384 L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) = z \ ((K(x,y) * z) * u). [hyper(57,a,3193,a(flip),b,9378,a),flip(a)]. 9385 K((x \ y) * (K(y,z) * u),w) = K((x \ T(y,z)) * u,w). [para(4935(a,1),9381(a,1,1))]. 9387 K((x \ T(y,z)) * (K(z,z * y) * u),w) = K((x \ y) * (a(v5,v6,v5) \ u),w). [para(2871(a,2),9385(a,1,1,2)),flip(a)]. 9389 K((x \ T(y,z)) * (K(z,z * y) * u),w) = K((x \ y) * u,w). [hyper(230,a,1756,a(flip),b,9387,a),flip(a)]. 9390 K(K(x,y) * ((z \ T(y,x)) * u),w) = K((z \ y) * u,w). [hyper(57,a,8768,a(flip),b,9389,a)]. 9391 K(x,K(y,z) * (u \ (w * v5))) * K(w * v5,K(x,u)) = K(x,(w * (v5 * K(y,z))) / u). [para(7958(a,1),9340(a,1,2))]. 9392 K(x,(y * (z * K(u,w))) / v5) = K(x,(y * z) / (K(w,u) * v5)). [hyper(57,a,8987,a(flip),b,9391,a),flip(a)]. 9394 K(x,(y * (z * K(u,w))) / v5) = K(x,(y * z) * (v5 \ K(u,w))). [hyper(230,a,4803,a(flip),b,9392,a),flip(a)]. 9395 K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * w) * (v5 \ K(z,u))). [hyper(57,a,9112,a,b,9394,a)]. 9396 K(x,(y * z) * (u \ K(z,w))) = K(x,(y * T(z,w)) / u). [para(1592(a,2),9394(a,1,2,1,2)),flip(a)]. 9397 K(x,(y * T(z,u)) / (w * T(z,u))) = K(x,(y * z) / (w * z)). [hyper(57,a,7736,a(flip),b,9396,a),flip(a)]. 9398 K(x,(y * (K(z,u) * w)) / (v5 \ T(v5 * K(z,u),v6))) = K(x,(y * w) * K(v6,v5 * K(z,u))). [para(4848(a,1),9395(a,2,2,2))]. 9399 K(x,(y * (K(z,u) * w)) * (K(v5,v6) * K(u,z))) = K(x,(y * w) * K(v5,v6 * K(z,u))). [hyper(57,a,9213,a(flip),b,9398,a)]. 9400 K(x,y * ((K(z,u) * w) * (K(v5,v6) * K(u,z)))) = K(x,(y * w) * K(v5,v6 * K(z,u))). [hyper(57,a,9079,a(flip),b,9399,a)]. 9401 K(x,y * (K(z,u) * (w * (K(v5,v6) * K(u,z))))) = K(x,(y * w) * K(v5,v6 * K(z,u))). [para(9038(a,1),9400(a,1,2,2))]. 9402 K(x,(y * z) * K(u,w * K(v5,v6))) = K(x,y * T(z * K(u,w),K(v6,v5))). [para(8918(a,1),9401(a,1,2,2)),flip(a)]. 9403 K(x,(y * z) * K(u,w * K(v5,v6))) = K(x,y * (z * K(u,w))). [hyper(230,a,7641,a(flip),b,9402,a),flip(a)]. 9404 K(x,y * (K(z,u * K(w,v5)) * v6)) = K(x,y * (v6 * K(z,u))). [hyper(8733,a,9403,a)]. 9406 K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * z) * (v6 * K(z,w))). [hyper(57,a,9262,a,b,9404,a)]. 9408 K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * T(z,w)) * v6). [hyper(230,a,8761,a(flip),b,9406,a),flip(a)]. 9409 K(x,(y * T(z,T(K(u,w) * v5,u))) * v6) = K(x,(y * T(z,v5)) * v6). [para(7603(a,2),9408(a,1,2,1,2))]. 9410 K(x,(y * T(z,K(u,w) * v5)) * v6) = K(x,(y * T(z,v5)) * v6). [hyper(57,a,8774,a(flip),b,9409,a)]. 9412 K(x,T((K(y,z) / u) * (K(y,z) * w),K(z,y) * (K(y,z) / u))) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [para(2129(a,1),9028(a,1,2,1,2))]. 9413 K(x,T((K(y,z) / u) * (K(y,z) * w),1 / u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [para(4779(a,1),9412(a,1,2,2))]. 9414 K(x,T((K(y,z) / u) * (K(y,z) * w),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [hyper(57,a,3926,a(flip),b,9413,a)]. 9416 K(x,T(K(y,z) * (u \ (K(y,z) * w)),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [hyper(57,a,9143,a(flip),b,9414,a)]. 9417 K(x,T(K(y,z) * (K(y,z) * (u \ w)),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). [hyper(9109,a,9416,a)]. 9418 K(x,T(y * (T(T(y,z),z) \ (u \ w)),u)) = K(x,(w / K(y,z)) * ((1 / u) * K(z,y))). [para(2864(a,1),9417(a,1,2,1))]. 9419 (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(8645(a,2),8489(a,1,1))]. 9420 L(L(x,y,z * u),(z * u) * y,K(w,K(v5,z))) = ((T(z,K(w,v5)) * u) * y) \ ((T(z,K(w,v5)) * u) * (y * x)). [para(8697(a,1),8699(a,1,2)),flip(a)]. 9421 L(L(x,y,z * u),(z * u) * y,K(w,K(v5,z))) = L(x,y,T(z,K(w,v5)) * u). [hyper(230,a,13,a,b,9420,a),flip(a)]. 9422 L(x,y,T(z,K(u,w)) * v5) = L(x,y,z * v5). [hyper(8487,a,9421,a),flip(a)]. 9424 L(x,y,z * (T(z,K(u,w)) \ v5)) = L(x,y,v5). [para(5(a,1),9422(a,1,3)),flip(a)]. 9425 L(x,y,K(K(z,u),w) * v5) = L(x,y,v5). [para(2150(a,1),9424(a,1,3))]. 9426 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(1696(a,1),9425(a,1,3,1))]. 9427 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(2365(a,1),9426(a,1,3))]. 9428 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(4046(a,1),9426(a,1,3))]. 9430 L(T(x,y) * K(z,u),y,y \ 1) * T((K(y,x) / y) * y,T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). [para(5303(a,1),9084(a,1,1))]. 9431 L(T(x,y) * K(z,u),y,y \ 1) * T(K(y,x),T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). [para(7(a,1),9430(a,1,2,1))]. 9434 L(T(x,y) * K(z,u),y,y \ 1) * T(K(y,x),T(x * K(z,u),y)) = L(x,y,y \ 1) * K(z,u). [para(8139(a,2),9431(a,1,2))]. 9435 L(T(x,y) * K(z,u),y,y \ 1) * K(y,T(x,T(x * K(z,u),y))) = L(x,y,y \ 1) * K(z,u). [para(1974(a,2),9434(a,1,2))]. 9436 L(T(x,y) * K(z,u),y,y \ 1) * K(y,T(x,K(z,u))) = L(x,y,y \ 1) * K(z,u). [para(7945(a,1),9435(a,1,2,2))]. 9437 L(T(x,y) * K(z,u),y,y \ 1) * K(y,x) = L(x,y,y \ 1) * K(z,u). [para(7466(a,1),9436(a,1,2))]. 9439 L((T(x,y) * K(z,u)) * K(y,x),y,y \ 1) = L(x,y,y \ 1) * K(z,u). [hyper(3133,a,9437,a)]. 9441 L(T(x,y) * (K(z,u) * K(y,x)),y,y \ 1) = L(x,y,y \ 1) * K(z,u). [para(8909(a,1),9439(a,1,1))]. 9442 L(T(x * K(y,z),K(x,u)),u,u \ 1) = L(x,u,u \ 1) * K(y,z). [para(4005(a,1),9441(a,1,1))]. 9443 L(x * K(y,z),u,u \ 1) = L(x,u,u \ 1) * K(y,z). [para(7475(a,1),9442(a,1,1))]. 9445 T(L(x * K(y,z),u,u \ 1),K(y,z)) = K(y,z) * L(x,u,u \ 1). [para(9443(a,2),3800(a,1,1))]. 9447 L(T(x * K(y,z),K(y,z)),u,u \ 1) = K(y,z) * L(x,u,u \ 1). [hyper(57,a,20,a,b,9445,a)]. 9448 L(K(x,y) * z,u,u \ 1) = K(x,y) * L(z,u,u \ 1). [para(3800(a,1),9447(a,1,1))]. 9449 L(x,y,y \ 1) / L(K(z,u) * x,y,y \ 1) = K(u,z). [para(9448(a,2),2131(a,1,2))]. 9451 (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(8645(a,2),9419(a,1,2,1))]. 9452 (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(8488(a,2),9451(a,1,2))]. 9453 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). [hyper(57,a,8604,a(flip),b,9452,a),flip(a)]. 9455 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). [hyper(230,a,9,a,b,9453,a),flip(a)]. 9456 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [para(8482(a,1),9455(a,1,3))]. 9458 a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). [para(2365(a,1),9456(a,1,2))]. 9459 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). [hyper(57,a,8176,a,b,9458,a)]. 9461 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(446(a,1),8710(a,1,2))]. 9462 (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = (x * (y * (y \ L(y,z,u)))) / (y \ L(y,z,u)). [hyper(230,a,1361,a(flip),b,9222,a),flip(a)]. 9463 (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = (x * L(y,z,u)) / (y \ L(y,z,u)). [para(5(a,1),9462(a,2,1,2))]. 9465 (x * L(y,z,T(u,w))) / T(y \ L(y,z,u),w) = (x * L(y,z,u)) / (y \ L(y,z,u)). [para(8591(a,1),9463(a,1,1,2))]. 9466 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(6705(a,1),9461(a,1,2,2,2,1))]. 9467 T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). [para(9229(a,2),9466(a,1,2,2))]. 9468 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). [para(8585(a,1),9467(a,1,2,2,1)),flip(a)]. 9469 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). [hyper(230,a,4263,a(flip),b,9468,a),flip(a)]. 9471 K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). [para(8490(a,2),9469(a,1,2,1,2))]. 9472 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). [hyper(2089,a,9471,a)]. 9473 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(230,a,2047,a(flip),b,9472,a),flip(a)]. 9474 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(8490(a,1),9473(a,1,2,1))]. 9475 K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). [para(2183(a,1),9474(a,1,2,1))]. 9476 K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). [hyper(8946,a,9475,a)]. 9477 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y * z) \ v5)). [para(2167(a,1),9476(a,1,2,2,1,2)),flip(a)]. 9478 K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). [para(4587(a,1),9476(a,1,2,2,1,2))]. 9479 K(x,K(y,z) * ((u * (w \ z)) \ v5)) = K(x,(u * (w \ T(z,y))) \ v5). [para(4930(a,1),9476(a,1,2,2,1,2))]. 9480 K(x,K(y,z) * ((u * w) \ (u * ((w * K(z,y)) * v5)))) = K(x,L(v5,w * K(z,y),u)). [para(13(a,2),9477(a,1,2)),flip(a)]. 9481 K(x,K(y,z) * ((u * (z \ y)) \ w)) = K(x,(u * (y / z)) \ w). [para(1809(a,1),9477(a,1,2,1,2)),flip(a)]. 9482 K(x,K(y * z,u)) * K(u,K(w,v5) * ((y * z) \ x)) = K(u,x / (y * (z * K(v5,w)))). [para(9477(a,1),8116(a,1,2))]. 9483 K(x,K(y,z) * ((u * (w \ y)) \ v5)) = K(x,(u * (w \ T(y,z))) \ v5). [hyper(7144,a,9479,a)]. 9484 K(x,(y * (z \ T(u,z))) \ w) = K(x,(y * (u / z)) \ w). [hyper(57,a,9481,a(flip),b,9483,a),flip(a)]. 9485 K(x,(T(y,z \ T(u,z)) * (u / z)) \ w) = K(x,((z \ T(u,z)) * y) \ w). [hyper(57,a,7163,a(flip),b,9484,a),flip(a)]. 9486 K(x,(T(y,z / u) * (z / u)) \ w) = K(x,((u \ T(z,u)) * y) \ w). [para(3974(a,1),9485(a,1,2,1,1))]. 9487 K(x,((y \ T(z,y)) * u) \ w) = K(x,((z / y) * u) \ w). [hyper(57,a,7163,a(flip),b,9486,a),flip(a)]. 9488 K(x,((T(y,z) \ z) * u) \ w) = K(x,((z / y) * u) \ w). [para(825(a,2),9487(a,1,2,1,1))]. 9489 K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(9047,a,9478,a)]. 9490 K(x,K(y,T(z,u)) * ((w * (v5 * (K(y,z) * u))) \ v6)) = K(x,(w * (v5 * u)) \ v6). [para(1979(a,1),9489(a,1,2,2,1,2,2))]. 9491 K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,K(v5,v6) * (((K(y,z) * u) * (w * K(v5,v6))) \ v7)). [para(6857(a,1),9489(a,1,2,2,1)),flip(a)]. 9492 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(7684,a,9490,a)]. 9493 K(x,(y * (z * u)) \ ((y * z) * u)) = a(x,z,K(K(w,v5) * u,y)). [hyper(9252,a,9492,a),flip(a)]. 9495 K(x,(y * (K(z,u) * w)) \ v5) = K(x,K(u,z) * ((y * w) \ v5)). [para(2124(a,1),9492(a,1,2,2,1,2)),flip(a)]. 9496 K(x,(y * (K(z,u) * w)) \ v5) = K(x,(y * (w * K(z,u))) \ v5). [hyper(230,a,9477,a,b,9495,a),flip(a)]. 9497 x * K(x,(y * (z * K(u,w))) \ v5) = T(x,(y * (K(u,w) * z)) \ v5). [para(9496(a,1),1592(a,2,2)),flip(a)]. 9498 a(x,y,K(K(z,u) * w,v5)) = K(x,a(v5,y,w)). [para(9(a,2),9493(a,1,2)),flip(a)]. 9499 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(230,a,6690,a,b,9498,a),flip(a)]. 9500 a(x,y,K(K(z,u) * w,v5)) != v6 | a(x,y,K(w,v5)) = v6. [para(9498(a,2),6802(a,1))]. 9502 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(6775,a,9499,a)]. 9503 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [para(2254(a,1),9499(a,1,3,1))]. 9504 a(x,y,K((z / u) * w,v5)) = a(x,y,K((u \ z) * w,v5)). [para(2443(a,1),9499(a,1,3,1))]. 9505 a(x,y,K(z * T(u,w),v5)) = a(x,y,K(z * u,v5)). [para(2018(a,1),9499(a,1,3,1))]. 9506 a(x,y,K(K(z,u) * w,v5 / (T(v6,v7) \ v8))) = a(x,y,K(w,v5 / (T(v6,T(v7,v9)) \ v8))). [para(8450(a,1),9499(a,1,3))]. 9507 a(x,y,K(z,u)) != w | a(x,y,K(K(v5,v6) * z,u)) = w. [para(9502(a,1),6684(a,1))]. 9508 K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K(v7 \ (K(v6,v5) * v8),y)) * K(x,y). [para(9502(a,1),8803(a,1,1)),flip(a)]. 9509 a(x,y,K(z \ (u / w),v5)) = a(x,y,K(z \ (w \ u),v5)). [para(4941(a,1),9503(a,1,3,1))]. 9510 a(x,y,K(z,T(u,w) * v5)) = a(z,y,K(v5 * u,x)). [hyper(8584,a,9505,a)]. 9511 a(T(x,y) * z,u,K(w,v5)) = a(v5,u,K(z * x,w)). [hyper(8583,a,9505,a)]. 9512 a(x,y,K(T(z,u) * w,v5)) = a(x,y,K(w * z,v5)). [hyper(6684,a,9510,a)]. 9513 a(T((x \ y) \ z,u) * K(x,w),v5,K(v6,v7)) = a(v7,v5,K((T(x,w) \ y) \ z,v6)). [para(8980(a,1),9511(a,2,3))]. 9514 a(x,T(y,x),K(z * y,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). [para(9512(a,1),7253(a,1,1))]. 9515 a(K(x,y) * z,u,K(w,v5)) != v6 | a(v5,u,K(z,w)) = v6. [para(6683(a,2),9500(a,1))]. 9516 a(x * K(y,z),u,K(w,v5)) != v6 | a(v5,u,K(x,w)) = v6. [para(8557(a,2),9500(a,1))]. 9517 a(x,y,K(z \ (T(u \ 1,w) \ v5),z)) != v6 | a(x,y,K(u * (z \ v5),z)) = v6. [para(9333(a,1),9500(a,1))]. 9518 a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a(x,y,K((u / z) * w,T(T(v5,v7),v6))). [para(2464(a,1),9504(a,1,3)),flip(a)]. 9519 a(x,y,K(z \ (u \ w),v5)) = a(v5,y,K(x,z \ (w / u))). [hyper(6775,a,9509,a),flip(a)]. 9520 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). [hyper(6775,a,9519,a),flip(a)]. 9521 a(K(x,y) * z,u,K(w,v5 \ (v6 \ v7))) = a(v5 \ (v7 / v6),u,K(z,w)). [hyper(9515,a,9520,a),flip(a)]. 9522 T(x,(y * (K(z,u) * w)) \ v5) = T(x,(y * (w * K(z,u))) \ v5). [hyper(1607,a,9497,a),flip(a)]. 9523 T(x,(y * (K(z,u) * w)) \ v5) = T(x,K(u,z) * ((y * w) \ v5)). [hyper(230,a,9045,a(flip),b,9522,a),flip(a)]. 9524 T(T(x,K(y,z * u)),K(w,v5) * ((z * u) \ y)) = T(x,y / (z * (K(v5,w) * u))). [hyper(57,a,7895,a(flip),b,9523,a),flip(a)]. 9525 a(x \ (y / z),u,K(w,v5)) = a(x \ (z \ y),u,K(w,v5)). [hyper(9515,a,9521,a),flip(a)]. 9526 a(x / (y * z),u,K(z,w)) = a(z \ (y \ x),u,K(z,w)). [hyper(57,a,6476,a,b,9525,a)]. 9527 a(x,y,K(T((z \ u) \ w,v5),v6)) = a(x,y,K((T(z,v7) \ u) \ w,v6)). [hyper(9516,a,9513,a)]. 9529 a(x,y,K((T(z,u) \ w) \ v5,v6)) = a(x,y,K((z \ w) \ v5,T(v6,v7))). [para(2226(a,1),9527(a,1,3)),flip(a)]. 9530 a(x,y,K((T(z,u) \ w) \ v5,v6)) = a((z \ w) \ v5,y,K(v6,x)). [hyper(230,a,8546,a(flip),b,9529,a),flip(a)]. 9531 a((x \ y) \ z,u,K(w,T(v5,v6) * v7)) = a(w,u,K(v7 * v5,(T(x,v8) \ y) \ z)). [hyper(57,a,9511,a(flip),b,9530,a),flip(a)]. 9532 T(x,y / (z * (K(u,w) * v5))) = T(x,y * ((z * v5) \ K(w,u))). [hyper(8952,a,9524,a),flip(a)]. 9533 T(x,y * ((z * (u \ 1)) \ K(w,v5))) = T(x,y / (z * (u \ K(v5,w)))). [hyper(57,a,8975,a(flip),b,9532,a),flip(a)]. 9534 T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))) = T(x,y / ((K(z,u) * w) * y)). [para(809(a,1),9532(a,1,2)),flip(a)]. 9535 a(x,y,K(z * u,(T(w,v5) \ v6) \ v7)) = a(x,y,K(z * u,(w \ v6) \ v7)). [hyper(57,a,9510,a(flip),b,9531,a),flip(a)]. 9536 K(x,L(y,z * K(u,w),v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(57,a,9254,a(flip),b,9480,a),flip(a)]. 9538 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [para(13(a,2),9536(a,2,2))]. 9541 K(x * K(y,z),L(u,x,w)) = K(x * K(y,z),u). [hyper(57,a,3170,a(flip),b,9538,a),flip(a)]. 9542 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(1590(a,1),9538(a,1,2,2)),flip(a)]. 9543 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). [para(1979(a,1),9538(a,1,2,2))]. 9544 K(x,L(y,z * (u * K(w,v5)),v6)) = K(x,L(y,z * u,v6)). [para(4587(a,1),9538(a,1,2,2))]. 9546 K(x,L(y,(z \ 1) * u,z \ 1)) = K(x,L(y,z \ u,z \ 1)). [hyper(57,a,7282,a(flip),b,9542,a),flip(a)]. 9547 K(x,L(T(y,z),z,u)) * ((T(z,w) * K(y,x)) * u) = T(z,w) * u. [para(9542(a,1),7601(a,1,1))]. 9549 a(x,K(y,z) * u,K(w,v5)) = K(w,L(x,u,v5)) * K(x,w). [para(9543(a,1),6688(a,1,1)),flip(a)]. 9550 K(K(x,y) * z,L(u,z,w)) = K(z * K(x,y),u). [hyper(7488,a,9541,a)]. 9551 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(57,a,4684,a(flip),b,9550,a)]. 9553 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(57,a,7663,a,b,9551,a)]. 9554 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(57,a,8505,a(flip),b,9553,a)]. 9555 K(x \ (T(y,z) * u),K(y,w)) = K(y,K((x \ u) * K(y,z),w)). [para(9554(a,1),4034(a,2,2))]. 9556 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(230,a,6688,a(flip),b,9549,a),flip(a)]. 9563 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(57,a,6891,a(flip),b,9546,a),flip(a)]. 9564 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(57,a,7273,a(flip),b,9563,a),flip(a)]. 9565 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(4(a,1),9563(a,1,2,2)),flip(a)]. 9566 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L((y * z) \ u,z,y \ 1)). [hyper(4690,a,9565,a)]. 9567 K(x,L(y \ (z * u),u,z \ 1)) = K(x,L(y \ (z * u),y,z \ 1)). [hyper(57,a,4582,a(flip),b,9565,a),flip(a)]. 9568 K(x,((y \ 1) * z) \ L(u,y,y \ 1)) = K(x,(y \ z) \ u). [hyper(57,a,4401,a(flip),b,9564,a)]. 9569 K(x,L(T(y,z \ 1) \ (z * u),T(y,z \ 1),z \ 1)) = K(x,(y / z) \ u). [para(1039(a,1),9564(a,2,2,1))]. 9570 K(x,(((y * z) \ y) * u) \ y) = K(x,(z \ u) \ y). [hyper(57,a,7297,a,b,9568,a)]. 9571 K(x,((y / (z * y)) * u) \ y) = K(x,(z \ u) \ y). [para(726(a,2),9570(a,1,2,1,1))]. 9572 K(x,((y / z) \ u) \ z) = K(x,((z / y) * u) \ z). [para(727(a,1),9570(a,1,2,1,1)),flip(a)]. 9573 K(x,(((y * z) \ y) * T(u,z \ 1)) \ y) = K(x,(u / z) \ y). [para(1039(a,1),9570(a,2,2,1))]. 9574 K(x \ (T(y,z) * u),K(y,w)) = K(x \ u,K(y,w)). [hyper(230,a,7851,a(flip),b,9555,a),flip(a)]. 9575 K(x,K(y \ (T(x,z) * u),w)) = K(y \ u,K(x,w)). [hyper(3739,a,9574,a)]. 9577 K(x,K(y,z \ (x * u))) = K(z \ u,K(x,y)). [hyper(9154,a,9575,a)]. 9578 K(x,(y * ((z * u) \ z)) \ z) = K(x,(y / u) \ z). [para(2078(a,1),9573(a,1,2,1))]. 9579 K(x,((T(y,z) \ z) / u) \ w) = K(x,((z / y) * ((w * u) \ w)) \ w). [hyper(57,a,9488,a(flip),b,9578,a),flip(a)]. 9580 K(T(x,y),L(z,y,u)) * (T(y,w) * u) = (T(y,w) * K(x,z)) * u. [hyper(4637,a,9547,a)]. 9582 K(x,T(L(y,z,u),z)) * (T(z,w) * u) = (T(z,w) * K(x,y)) * u. [para(2226(a,1),9580(a,1,1))]. 9583 K(x,L(T(y,z),z,u)) * (T(z,w) * u) = (T(z,w) * K(x,y)) * u. [para(20(a,2),9582(a,1,1,2))]. 9584 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). [hyper(230,a,7272,a(flip),b,9566,a),flip(a)]. 9585 K(x,y \ ((y / (z * y)) * u)) = K(x,y \ (z \ u)). [hyper(57,a,9275,a(flip),b,9584,a)]. 9586 K(x,y \ ((y / T(z,y)) * u)) = K(x,y \ ((y \ z) \ u)). [para(649(a,2),9585(a,1,2,2,1,2))]. 9587 K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). [para(697(a,1),9586(a,1,2,2,1)),flip(a)]. 9588 K(x,y \ ((z \ y) * T(u,(y \ z) \ 1))) = K(x,y \ (u / (y \ z))). [hyper(57,a,7986,a(flip),b,9587,a),flip(a)]. 9589 K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,((y \ z) \ u) / y). [para(9587(a,1),9089(a,1,2))]. 9590 K(x,L(y \ (z * u),u,z \ 1)) = K(x,(z \ y) \ u). [hyper(230,a,9564,a(flip),b,9567,a),flip(a)]. 9591 K(x,L(y \ ((z / u) * u),u,(z / u) \ 1)) = K(x,((u / z) * y) \ u). [hyper(230,a,9572,a(flip),b,9590,a),flip(a)]. 9592 K(x,((T(y,z) \ z) / u) \ w) = K(x,((z / y) / u) \ w). [hyper(230,a,9578,a(flip),b,9579,a),flip(a)]. 9593 K(x,y \ ((z \ y) * T(u,z \ y))) = K(x,y \ (u / (y \ z))). [para(2067(a,1),9588(a,1,2,2,2))]. 9594 K(x,y \ (z / (y \ u))) = K(x,y \ (z * (u \ y))). [para(93(a,1),9593(a,1,2,2)),flip(a)]. 9595 K(x,L(y \ z,u,(z / u) \ 1)) = K(x,((u / z) * y) \ u). [para(7(a,1),9591(a,1,2,1,2))]. 9596 K(x,L(y \ z,u,(u \ z) \ 1)) = K(x,((u / z) * y) \ u). [hyper(9191,a,9595,a)]. 9597 K(x,L(y \ z,u,z \ u)) = K(x,((u / z) * y) \ u). [hyper(8819,a,9596,a)]. 9598 K(x,y / (T(z,u) * (u \ y))) = K(x,((y / u) * z) \ y). [hyper(57,a,6973,a,b,9597,a)]. 9599 K(x,((y \ z) \ u) / y) = K(x,((z \ y) * u) / y). [hyper(57,a,9353,a(flip),b,9589,a),flip(a)]. 9600 K(x,((y \ z) * T(u,(z \ y) \ 1)) / z) = K(x,(u / (z \ y)) / z). [hyper(5458,a,9599,a),flip(a)]. 9601 K(x,((y \ z) * T(u,y \ z)) / z) = K(x,(u / (z \ y)) / z). [para(2067(a,1),9600(a,1,2,1,2))]. 9602 K(x,(y / (z \ u)) / z) = K(x,(y * (u \ z)) / z). [para(93(a,1),9601(a,1,2,1)),flip(a)]. 9603 K(x,(y / (z \ (z * u))) / z) = K(x,(y * L(u \ 1,u,z)) / z). [para(177(a,2),9602(a,2,2,1,2))]. 9604 K(x,(y * L(z \ 1,z,u)) / u) = K(x,(y / z) / u). [para(4(a,1),9603(a,1,2,1,2)),flip(a)]. 9605 K(x,(y * (z \ 1)) \ ((z \ 1) * (z * u))) = K(x,(y / z) \ u). [para(302(a,1),9569(a,1,2))]. 9606 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(57,a,4412,a(flip),b,9605,a)]. 9607 K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,y * (z \ 1))) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). [para(9606(a,1),7512(a,1,1))]. 9608 a(x,y,K(z * y,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). [para(6207(a,1),9514(a,1,1))]. 9610 a(x,y,K(z * y,u)) * K(x,(y * u) / ((z \ 1) * u)) = K(x,y * z). [para(8007(a,1),9608(a,1,2))]. 9611 a(x,(y \ z) \ 1,K(u * ((y \ z) \ 1),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). [para(5507(a,2),9610(a,1,2,2,1))]. 9612 K(x,y / (z * (u * K(w,v5)))) = K(x,y * ((z * u) \ K(v5,w))). [hyper(57,a,8991,a(flip),b,9482,a),flip(a)]. 9613 K(x,y / (z * (K(u,w) * v5))) = K(x,y * ((z * v5) \ K(w,u))). [hyper(57,a,8972,a,b,9612,a)]. 9614 K(x,y * ((z * a(u,w,K(v5,v6))) \ K(v5,v6))) = K(x,y / (z * L(K(v6,v5),w,u))). [para(4435(a,1),9613(a,1,2,2,2)),flip(a)]. 9615 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(w,z)))) = K(x,y / (v6 * L(K(z,w),u,v5))). [para(8845(a,1),9614(a,1,2,2))]. 9616 K(x,y / (z * L(K(u,w),v5,v6))) = K(x,y * (z \ K(w,u))). [hyper(57,a,8731,a(flip),b,9615,a),flip(a)]. 9618 K(x,y / (z * K(u,L(w,v5,v6)))) = K(x,y * (z \ K(w,u))). [para(4376(a,1),9616(a,1,2,2,2))]. 9619 K(x,y * (z \ K(L(u,w,v5),v6))) = K(x,y * (z \ K(u,v6))). [hyper(57,a,7718,a(flip),b,9618,a)]. 9620 K(x,(K(y,z) * (u / w)) \ 1) = K(x,w * (u \ K(z,y))). [hyper(57,a,7170,a(flip),b,9619,a)]. 9621 K(x,(y / z) \ K(u,w)) = K(x,z * (y \ K(u,w))). [hyper(2159,a,9620,a)]. 9623 T(T(x,(y / z) \ K(u,w)),K(v5,z * (y \ K(u,w)))) = T(x,T((y / z) \ K(u,w),v5)). [para(9621(a,1),3807(a,1,2))]. 9624 a(x,y,K(K(z,u) * w,(T(v5,v6) \ v7) \ v8)) = a(x,y,K(w,v8 / (T(v5,T(v6,v9)) \ v7))). [hyper(8588,a,9506,a)]. 9625 a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a((u / z) * w,y,K(T(v5,v7),x)). [hyper(230,a,8546,a(flip),b,9518,a),flip(a)]. 9627 a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a((u / z) * w,y,K(v5,T(x,v7))). [para(2226(a,1),9625(a,2,3))]. 9628 a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a(v5,y,K(x,(u / z) * w)). [hyper(230,a,8546,a(flip),b,9627,a),flip(a)]. 9629 a((x \ y) * z,u,K(T(w,v5),v6)) = a(w,u,K(v6,(y / x) * z)). [hyper(8553,a,9628,a)]. 9632 a((x \ y) * z,u,K(w,T(v5,v6))) = a(w,u,K(v5,(y / x) * z)). [para(2226(a,1),9629(a,1,3))]. 9633 a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,(w \ u) * v5)). [hyper(8553,a,9632,a),flip(a)]. 9634 a(x,y,K(K(z,u) * w,(v5 \ v6) \ v7)) = a(x,y,K(w,v7 / (T(v5,T(v8,v9)) \ v6))). [hyper(57,a,9535,a(flip),b,9624,a)]. 9635 a(x,y,K(z,u / (T(w,T(v5,v6)) \ v7))) = a(x,y,K(z,(w \ v7) \ u)). [hyper(9500,a,9634,a),flip(a)]. 9638 a(x,y,K(z,u / (T(w,v5) \ v6))) = a(x,y,K(z,(w \ v6) \ u)). [para(92(a,1),9635(a,1,3,2,2,1,2))]. 9639 a(x,y,K(z,(T(u,w) \ v5) \ v6)) = a(x,y,K(z,(u \ v5) \ v6)). [hyper(8588,a,9638,a)]. 9641 a(x,y,K(z,(T(u,w) \ v5) \ v6)) = a(z,y,K(x,v6 \ (u \ v5))). [hyper(230,a,6700,a,b,9639,a),flip(a)]. 9642 a(x,y,K(z,(u / w) \ v5)) = a(x,y,K(z,(w \ u) \ v5)). [para(1040(a,1),9639(a,1,3,2,1))]. 9643 a(x,y,K(z,u \ (T(w,v5) \ v6))) = a(x,y,K(z,u \ (w \ v6))). [hyper(6811,a,9641,a)]. 9644 a(x,y,K(z \ (T(u,w) \ v5),v6)) = a(v6,y,K(x,z \ (u \ v5))). [para(2039(a,2),9641(a,1,3))]. 9646 a(x,y,K(z,x \ ((u \ 1) \ w))) = a(z,y,K(u * (x \ w),x)). [hyper(9517,a,9644,a),flip(a)]. 9647 a(x,y,K(z * (u \ w),u)) = a(u,y,K(x,(z \ 1) \ w)). [hyper(6475,a,9646,a),flip(a)]. 9648 a(x,y,K(z * (u \ w),u)) = a(u,y,K(x,z * w)). [para(4743(a,1),9647(a,2,3))]. 9649 K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K((v7 \ v8) * K(v6,v5),y)) * K(x,y). [para(9554(a,1),9508(a,2,1,3))]. 9650 K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K(v7 \ v8,y)) * K(x,y). [para(9503(a,1),9649(a,2,1))]. 9651 K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = K(x,L(y,z,v7 \ v8)). [hyper(230,a,6711,a(flip),b,9650,a),flip(a)]. 9653 K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v5 \ v6)). [hyper(57,a,9175,a(flip),b,9651,a)]. 9654 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,u \ v6)). [para(2197(a,1),9651(a,1,2,3))]. 9655 x * K(y,L(T(z,u),x,u \ x)) = (x / (K(y,z) \ u)) * u. [para(9653(a,1),7315(a,1,2))]. 9656 K(x,L(y,z,(u * (w / v5)) \ v6)) = K(x,L(y,z,(u * (v5 \ w)) \ v6)). [para(2739(a,1),9654(a,1,2,3,1)),flip(a)]. 9657 K(x,L(T(y,z),z,z \ u)) * u = z * ((z * K(y,x)) \ u). [para(9654(a,1),6974(a,1,1))]. 9658 K(x,L(T(y,z),T(z,u),T(z,u) \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). [para(9654(a,1),8191(a,1,1))]. 9659 (x / (K(y,z) \ u)) * u = (x / u) * (K(y,z) * u). [hyper(57,a,6969,a(flip),b,9655,a),flip(a)]. 9661 (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). [para(2129(a,1),9659(a,1,1,2))]. 9662 (((x * K(y,z)) * u) / u) * (K(z,y) * u) = L(x,K(y,z),u) * u. [para(8161(a,1),9661(a,1,1)),flip(a)]. 9664 L(x,K(y,z),u) * u = (x * K(y,z)) * (K(z,y) * u). [para(6(a,1),9662(a,1,1)),flip(a)]. 9665 ((x * K(y,z)) * (K(z,y) * u)) / u = L(x,K(y,z),u). [hyper(105,a,9664,a)]. 9667 L(x,K(y,z),K(z,y) * u) = L(x,K(y,z),u). [hyper(57,a,8169,a(flip),b,9665,a)]. 9668 L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). [hyper(8559,a,9667,a)]. 9669 L(K(x,T(y,z)) * u,K(y,x),z) = z \ ((K(x,y) * z) * u). [hyper(57,a,9384,a(flip),b,9668,a),flip(a)]. 9670 (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). [hyper(57,a,2957,a(flip),b,9669,a)]. 9671 x \ ((K(y,z) * x) * (K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). [para(1596(a,1),9670(a,1,2)),flip(a)]. 9672 (x \ ((K(y,z) * x) * u)) * K(z,K(y,x)) = (x * K(z,y)) \ (x * u). [para(9670(a,1),7620(a,1,1))]. 9673 K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,(z * (z \ y)) \ w)). [hyper(57,a,9183,a,b,9656,a)]. 9674 x \ ((K(y,z) * (x * (K(x,u) * w))) * a(K(y,z),x,K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). [para(75(a,2),9671(a,1,2))]. 9675 T(x,K(y,z)) \ ((K(z,y) * x) * u) = (x * K(y,z)) \ (x * u). [hyper(7517,a,9672,a)]. 9676 (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). [hyper(57,a,2758,a(flip),b,9675,a),flip(a)]. 9677 x \ ((x * K(y,z)) * (T(z,y) * u)) = L(z * u,K(z,y),x). [hyper(1834,a,9676,a),flip(a)]. 9678 (x * (y \ (y * K(z,u)))) * (y \ x) = x * ((y * K(u,z)) \ (y * (y \ x))). [para(9676(a,2),581(a,2,2))]. 9679 ((K(x,y) \ z) * K(y,x)) \ ((K(x,y) \ z) * u) = (K(x,y) \ z) \ (T(z,K(x,y)) * u). [para(649(a,2),9676(a,2,2,1))]. 9680 x * ((y * K(z,u)) \ (y * (y \ x))) = (x * K(u,z)) * (y \ x). [para(4(a,1),9678(a,1,1,2)),flip(a)]. 9682 (x * K(y,z)) * (u \ x) = x * ((u * K(z,y)) \ x). [para(5(a,1),9680(a,1,2,2)),flip(a)]. 9683 (x * K(y,z)) \ y = K(z,y) * (x \ y). [hyper(1708,a,9682,a),flip(a)]. 9684 x \ (K(y,x) * (z \ x)) = (z * T(x,y)) \ x. [para(9683(a,1),2507(a,1,2))]. 9685 (x * T(y,z)) \ y = T(y,z) \ (x \ y). [hyper(2213,a,9684,a),flip(a)]. 9686 (T(x,y) \ (z \ x)) * K(z,x) = x / (z * T(x,y)). [para(9685(a,1),3537(a,1,1))]. 9687 x / (y * T(x,z)) = T(x,z) \ (x / y). [hyper(57,a,4991,a(flip),b,9686,a),flip(a)]. 9688 T(T(x,y),y \ x) \ (T(x,y) / z) = T(x,y) / (z * x). [para(739(a,1),9687(a,1,2,2)),flip(a)]. 9689 T(x,y) / (z * x) = x \ (T(x,y) / z). [para(739(a,1),9688(a,1,1)),flip(a)]. 9690 ((K(x,y) * z) * K(x,y)) \ ((K(y,x) \ z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). [para(2129(a,1),9679(a,1,1,1))]. 9691 (K(x,y) * (z * K(x,y))) \ ((K(y,x) \ z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). [para(586(a,1),9690(a,1,1))]. 9692 (K(x,y) * (z * K(x,y))) \ ((K(x,y) * z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). [para(2129(a,1),9691(a,1,2,1))]. 9693 L(K(x,y) \ z,K(x,y),K(x,y) * u) = (K(y,x) \ u) \ (T(u,K(y,x)) * z). [hyper(595,a,9692,a)]. 9694 L(K(x,y) * z,K(y,x),K(y,x) * u) = (K(x,y) \ u) \ (T(u,K(x,y)) * z). [para(2129(a,1),9693(a,1,1))]. 9695 L(K(x,y) * z,K(y,x),K(y,x) * u) = (K(y,x) * u) \ (T(u,K(x,y)) * z). [para(2129(a,1),9694(a,2,1))]. 9696 K(x,L(T(y,z),T(z,u),z \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). [para(9177(a,1),9658(a,1,1))]. 9699 K(x,L(T(y,z),z,z \ u)) \ u = T(z,w) * ((K(x,T(y,z)) * T(z,w)) \ u). [para(9542(a,1),9696(a,1,1))]. 9700 T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(L(T(u,x),x,x \ w),z) * w. [hyper(2142,a,9699,a),flip(a)]. 9702 T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(T(u,x),L(z,x,x \ w)) * w. [para(4624(a,1),9700(a,2,1))]. 9703 T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(u,T(L(z,x,x \ w),x)) * w. [para(2226(a,1),9702(a,2,1))]. 9704 T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(u,L(T(z,x),x,x \ w)) * w. [para(20(a,2),9703(a,2,1,2))]. 9705 T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = x * ((x * K(z,u)) \ w). [hyper(230,a,9657,a(flip),b,9704,a),flip(a)]. 9706 T(x,y) * ((T(x,y) * K(z,u)) \ w) = x * ((x * K(z,u)) \ w). [para(7494(a,1),9705(a,1,2,1))]. 9707 K(x,y) * ((T(x,y) * K(z,u)) \ w) = (x * K(z,u)) \ w. [hyper(1779,a,9706,a)]. 9708 x \ ((K(y,z) * (T(x,u) * w)) * a(K(y,z),x,K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). [para(1596(a,1),9674(a,1,2,1,2))]. 9709 x \ ((K(y,z) * (T(x,u) * w)) * a(y,x,K(K(x,u) * w,z))) = (K(z,y) * x) \ (T(x,u) * w). [para(6687(a,1),9708(a,1,2,2))]. 9710 K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,y / z)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). [para(4739(a,1),9607(a,1,2,2))]. 9711 K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,z \ y)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). [para(7437(a,1),9710(a,1,2))]. 9712 K(x,(y / z) \ u) * K(u,L(K(x,z \ y),z,z \ 1)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). [para(4624(a,1),9711(a,1,2))]. 9713 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,(u / z) \ y) * K(y,K(x,z \ u)). [para(4730(a,1),9712(a,1,2,2)),flip(a)]. 9714 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(230,a,7564,a(flip),b,9713,a),flip(a)]. 9717 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u / z)). [hyper(57,a,7323,a,b,9714,a)]. 9718 K(x,((y \ 1) * z) / (u * (y \ 1))) = K(x,(y \ z) / (u / y)). [para(843(a,1),9714(a,1,2,1))]. 9719 K(x,L(y,z,z \ 1) / ((z \ 1) * u)) = K(x,y / (T(u,z) / z)). [para(1031(a,1),9714(a,1,2,2))]. 9720 a(x,y,K((y * z) / u,z)) * K(x,(y * z) / u) = K(x,y / (u / z)). [hyper(8663,a,9717,a)]. 9721 K(x,y / (z * ((y * u) \ y))) = K(x,y / (z / u)). [hyper(57,a,6988,a(flip),b,9717,a)]. 9722 K(x,L(y,z,z \ 1) / ((z \ 1) * u)) = K(x,y / (z \ u)). [hyper(230,a,8017,a(flip),b,9719,a),flip(a)]. 9723 a(x,y,K(z * (y / u),z)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(7099(a,1),9720(a,1,1,3))]. 9724 a(x,y,K(y / z,u)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(1689(a,1),9723(a,1,1,3))]. 9725 a(x,y,K(z \ y,u)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(8551(a,1),9724(a,1,1))]. 9726 a(x,y,K(z,u \ y)) * K(z,(y * x) / u) = K(z,y / (u / x)). [para(6683(a,1),9725(a,1,1))]. 9727 a(x,y,K((z / T(u,z)) \ y,w)) * K(x,(y * w) / (u \ z)) = K(x,y / ((z / T(u,z)) / w)). [para(8018(a,1),9725(a,1,2))]. 9728 a(x,y,K(z,(u \ w) \ y)) * K(z,(y * x) / (w / u)) = K(z,y / ((w / u) / x)). [para(9642(a,1),9726(a,1,1))]. 9729 a(x,y,K(z,((u / w) \ 1) \ y)) * K(z,(y * x) / T(1 / (u / w),w / u)) = K(z,y / ((1 / (u / w)) / x)). [para(339(a,2),9728(a,1,2,2,2))]. 9730 a(x,y,K((z \ u) \ y,w)) * K(x,(y * w) / (z \ u)) = K(x,y / ((u / T(z,u)) / w)). [para(697(a,1),9727(a,1,1,3,1,1))]. 9731 K(x,y / ((z / T(u,z)) / w)) = K(x,y / ((u \ z) / w)). [hyper(57,a,9725,a(flip),b,9730,a),flip(a)]. 9732 K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,((K(y,z) * u) * w) \ v7). [hyper(230,a,9476,a(flip),b,9491,a),flip(a)]. 9733 K(x,((y * z) \ u) * K(L(w,y,z * K(v5,v6)),v7)) = K(x,((K(v7,w) * y) * z) \ u). [hyper(8931,a,9732,a)]. 9735 K(x,((K(y,z) * u) * w) \ v5) = K(x,K(z,y) * ((u * w) \ v5)). [hyper(9055,a,9733,a),flip(a)]. 9736 x * K(x,K(y,z) * ((u * w) \ v5)) = T(x,((K(z,y) * u) * w) \ v5). [para(9735(a,1),1592(a,2,2)),flip(a)]. 9737 T(x,((K(y,z) * u) * w) \ v5) = T(x,K(z,y) * ((u * w) \ v5)). [hyper(1607,a,9736,a),flip(a)]. 9738 T(T(x,K(y,z * u)),K(w,v5) * ((z * u) \ y)) = T(x,y / ((K(v5,w) * z) * u)). [hyper(57,a,9260,a(flip),b,9737,a),flip(a)]. 9739 T(x,y / ((K(z,u) * w) * v5)) = T(x,y * ((w * v5) \ K(u,z))). [hyper(8952,a,9738,a),flip(a)]. 9740 T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))) = T(x,y * ((w * y) \ K(u,z))). [hyper(57,a,9534,a,b,9739,a)]. 9741 T(x,T(y,z \ K(u,w)) * ((y * (z \ 1)) \ K(w,u))) = T(x,y * (((z \ 1) * y) \ K(w,u))). [para(7528(a,1),9740(a,1,2,1))]. 9742 T(x,T(y,z \ K(u,w)) / (y * (z \ K(u,w)))) = T(x,y * (((z \ 1) * y) \ K(w,u))). [hyper(57,a,9533,a(flip),b,9741,a)]. 9743 T(x,y * (((z \ 1) * y) \ K(u,w))) = T(x,y / ((z \ K(w,u)) * y)). [para(809(a,1),9742(a,1,2)),flip(a)]. 9744 T(x,y / (((z \ 1) \ K(u,w)) * y)) = T(x,y * ((z * y) \ K(w,u))). [para(614(a,1),9743(a,1,2,2,1,1)),flip(a)]. 9745 T(x,((y \ 1) \ K(z,u)) \ 1) = T(x,w * ((y * w) \ K(u,z))). [hyper(57,a,2079,a(flip),b,9744,a)]. 9747 T(x,y * ((z * y) \ K(u,w))) = T(x,K(u,w) * (z \ 1)). [para(4787(a,1),9745(a,1,2)),flip(a)]. 9748 T(x,y * ((z * y) \ K(u,w))) = T(x,z \ K(u,w)). [hyper(230,a,7528,a(flip),b,9747,a),flip(a)]. 9749 T(x,(y / z) \ K(u,w)) = T(x,z * (y \ K(u,w))). [para(7(a,1),9748(a,1,2,2,1)),flip(a)]. 9750 T(T(x,y * (z \ K(u,w))),K(v5,y * (z \ K(u,w)))) = T(x,T((z / y) \ K(u,w),v5)). [para(9749(a,1),9623(a,1,1))]. 9751 T(x,T((y / z) \ K(u,w),v5)) = T(x,T(z * (y \ K(u,w)),v5)). [hyper(57,a,3807,a(flip),b,9750,a),flip(a)]. 9752 T(x,T((y / T(z,u)) \ 1,w)) = T(x,T(z * (y \ K(z,u)),w)). [hyper(57,a,9105,a,b,9751,a)]. 9753 T(x,T((y / T(z,u)) \ 1,w)) = T(x,T(T(z,u) / y,w)). [hyper(230,a,9029,a(flip),b,9752,a),flip(a)]. 9754 T(x,T(T(y,K(z,u)) / w,v5)) = T(x,T((w / y) \ 1,v5)). [hyper(57,a,9107,a(flip),b,9753,a),flip(a)]. 9755 T(x,T((y / z) \ 1,u)) = T(x,T(z / y,u)). [para(632(a,1),9754(a,1,2,1,1)),flip(a)]. 9756 K(x,y * (T(z,T(u / w,w)) / (u \ w))) = K(x,y * (z * ((z / T(w / u,w)) / z))). [para(9755(a,1),3288(a,1,2,2,1))]. 9757 K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). [para(95(a,1),9756(a,1,2,2,1,2))]. 9758 K(x,y * T(z / T(u / w,u),z)) = K(x,y * (T(z,u \ w) / (w \ u))). [hyper(230,a,9286,a(flip),b,9757,a)]. 9759 K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * (T(u / w,u) \ z)). [hyper(57,a,2636,a(flip),b,9758,a),flip(a)]. 9760 K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * ((w \ u) \ z)). [hyper(230,a,2662,a(flip),b,9759,a),flip(a)]. 9761 a(x,y,K(z,(u / w) * y)) * K(z,(y * x) / T(1 / (u / w),w / u)) = K(z,y / ((1 / (u / w)) / x)). [para(4743(a,1),9729(a,1,1,3))]. 9762 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / T(1 / (w / u),u / w)) = K(z,y / ((1 / (w / u)) / x)). [para(9633(a,1),9761(a,1,1))]. 9763 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / (1 / (w / u))) = K(z,y / ((1 / (w / u)) / x)). [para(339(a,1),9762(a,1,2,2,2))]. 9764 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / ((1 / (w / u)) / x)). [para(4771(a,1),9763(a,1,2))]. 9765 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / (((w / u) \ 1) / x)). [hyper(230,a,2752,a(flip),b,9764,a),flip(a)]. 9766 K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,y \ w)). [para(5(a,1),9673(a,2,2,3,1))]. 9767 K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L((z \ y) \ y,u,y \ w)). [hyper(230,a,5001,a(flip),b,9766,a),flip(a)]. 9769 K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(T(z,y),u,y \ w)). [hyper(230,a,4681,a(flip),b,9767,a),flip(a)]. 9770 K(x,L(((y \ z) \ 1) * z,u,((z / y) \ 1) * w)) = K(x,L(T(y,z),u,z \ w)). [para(5507(a,1),9769(a,1,2,1))]. 9771 K(x,L(((y \ z) \ 1) * z,u,(z / y) \ w)) = K(x,L(T(y,z),u,z \ w)). [hyper(9196,a,9770,a)]. 9772 K(x,L(((y \ z) \ 1) * z,u,(y \ z) \ w)) = K(x,L(T(y,z),u,z \ w)). [hyper(9191,a,9771,a)]. 9773 K(x,L((y \ z) \ z,u,(y \ z) \ w)) = K(x,L(T(y,z),u,z \ w)). [hyper(57,a,5001,a(flip),b,9772,a)]. 9774 K(x,y \ ((y / (z \ u)) * u)) = K(x,L(T(z,u),y,u \ y)). [hyper(57,a,6899,a(flip),b,9773,a)]. 9775 K(x,L(T(y \ z,z),u,z \ u)) = K(x,(z * (y \ u)) / u). [hyper(57,a,9321,a(flip),b,9774,a),flip(a)]. 9776 K(x,L(y / z,u,y \ u)) = K(x,(y * (z \ u)) / u). [hyper(57,a,4012,a(flip),b,9775,a)]. 9777 K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). [hyper(57,a,6959,a(flip),b,9776,a),flip(a)]. 9778 K(x,y / (T(z,u) * (u \ y))) = K(x,y \ ((y / z) * u)). [hyper(57,a,9193,a(flip),b,9777,a),flip(a)]. 9779 K(x,((y / z) * u) \ y) = K(x,y \ ((y / u) * z)). [hyper(57,a,9598,a(flip),b,9778,a)]. 9780 K(x,y \ ((y / ((y * z) \ y)) * u)) = K(x,((T(u,y) \ y) / z) \ y). [hyper(57,a,9579,a,b,9779,a),flip(a)]. 9781 K(x,y \ ((y / z) * (u * y))) = K(x,(u \ z) \ y). [hyper(57,a,9571,a(flip),b,9779,a),flip(a)]. 9782 K(x,T(((y / z) * u) \ y,w)) = T(K(x,y \ ((y / u) * z)),w). [para(9779(a,1),1974(a,2,1))]. 9783 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(57,a,9585,a(flip),b,9781,a),flip(a)]. 9784 x / (K(y,z \ (u \ (w * z))) * x) = K((w \ (u * z)) \ z,y). [para(9783(a,1),2131(a,1,2,1))]. 9785 K(x,T(((y / z) * u) \ y,w)) = K(x,T(y \ ((y / u) * z),w)). [hyper(230,a,1974,a,b,9782,a),flip(a)]. 9786 K((x \ (y * z)) \ z,u) != w | K(z \ (y \ (x * z)),u) = w. [para(9784(a,1),1783(a,1))]. 9787 K(x,T(y \ ((y / z) * u),y)) = K(x,y / ((y / u) * z)). [hyper(5350,a,9785,a),flip(a)]. 9788 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(5349,a,9787,a)]. 9789 K(x,((y / ((y * z) \ y)) * u) / y) = K(x,y / ((y / u) / z)). [hyper(230,a,9721,a(flip),b,9788,a),flip(a)]. 9790 K(x,((y * z) * u) / y) = K(x,y / ((y / u) / z)). [para(69(a,1),9789(a,1,2,1,1))]. 9792 K(x,((y * z) * L(u \ 1,u,y)) / y) = K(x,y / ((y * u) / z)). [para(254(a,1),9790(a,2,2,2,1))]. 9793 K(x,((y * z) / u) / y) = K(x,y / ((y * u) / z)). [hyper(57,a,9604,a(flip),b,9792,a)]. 9794 K(x,((T(y,z) \ z) / u) \ z) = K(x,z \ ((z * u) * y)). [para(69(a,1),9780(a,1,2,2,1)),flip(a)]. 9795 K(x,((y / z) / u) \ y) = K(x,y \ ((y * u) * z)). [hyper(57,a,9592,a(flip),b,9794,a)]. 9797 K(x,y \ ((y * z) * (u \ y))) = K(x,(u / z) \ y). [para(69(a,1),9795(a,1,2,1,1)),flip(a)]. 9798 K(x,y \ ((y * z) / (y \ u))) = K(x,(u / z) \ y). [hyper(57,a,9594,a,b,9797,a)]. 9799 K(x,((y * z) / u) \ y) = K(x,y \ ((y * u) / z)). [para(4(a,1),9798(a,1,2,2,2)),flip(a)]. 9800 L(T((R(x,y,z) \ x) \ 1,u),(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). [para(1845(a,2),9088(a,1,1))]. 9801 K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(w \ 1,T(u,z)))). [para(3880(a,1),9297(a,2,2,2,2))]. 9802 K(x,y * (K(z \ 1,u) * (((w * u) / w) / z))) = K(x,y * ((((w * u) / w) \ (((w * u) / w) / z)) * T(u,w))). [hyper(230,a,7758,a(flip),b,9801,a)]. 9803 K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(u,w))). [hyper(7783,a,9802,a),flip(a)]. 9805 K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * (((z * u) / z) / T(w,u))). [para(2487(a,1),9803(a,2,2,2))]. 9806 K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * (w \ ((z * u) / z))). [hyper(230,a,8193,a(flip),b,9805,a),flip(a)]. 9807 K(x,y * (((z \ (z * u)) \ ((z \ (z * u)) / w)) * T(u,z))) = K(x,y * (w \ ((z * u) / z))). [para(5160(a,1),9806(a,1,2,2,1))]. 9808 K(x,y * ((z \ ((u \ (u * z)) / w)) * T(z,u))) = K(x,y * (w \ ((u * z) / u))). [para(4(a,1),9807(a,1,2,2,1,1))]. 9809 K(x,y * (z \ ((u * w) / u))) = K(x,y * ((w \ (w / z)) * T(w,u))). [para(4(a,1),9808(a,1,2,2,1,2,1)),flip(a)]. 9810 K(x,y * T(K(z,u) * (z / w),z)) = K(x,y * (w \ ((u * z) / u))). [hyper(230,a,7932,a,b,9809,a)]. 9811 K(x,y * T(T(z,u) / w,z)) = K(x,y * (w \ ((u * z) / u))). [para(4903(a,1),9810(a,1,2,2,1))]. 9812 K(x,y * (z \ ((u * w) / u))) = K(x,y * (z \ T(w,u))). [hyper(57,a,7756,a(flip),b,9811,a),flip(a)]. 9813 K(x,y * (z \ T(u,w \ 1))) = K(x,y * (z \ T(u,w))). [para(1021(a,2),9812(a,1,2,2,2))]. 9814 K(x,y * (z \ T(u * w,w \ 1))) = K(x,y * (z \ (T(u,w) * w))). [para(652(a,1),9813(a,2,2,2,2))]. 9815 K(x,y * (z \ (T(u,w) * w))) = K(x,y * (z \ (w * u))). [para(1034(a,1),9814(a,1,2,2,2)),flip(a)]. 9816 K(x,T(y,(T(z,u) * u) \ w) * (w \ (u * z))) = K(x,(w \ (T(z,u) * u)) * y). [hyper(5238,a,9815,a),flip(a)]. 9817 K(x,T(y,(z * u) \ w) * (w \ (z * u))) = K(x,(w \ (T(u,z) * z)) * y). [para(9296(a,1),9816(a,1,2,1))]. 9818 K(x,(y \ (T(z,u) * u)) * w) != v5 | K(x,(y \ (u * z)) * w) = v5. [para(9817(a,1),5238(a,1))]. 9819 K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,K(x,(x / z) \ y)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(2362(a,1),9315(a,1,2,2))]. 9820 K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,K(x,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(5104(a,1),9819(a,1,2,2))]. 9821 K(x,x \ (y * z)) \ K(x,K(x \ (z * y),z \ ((x \ (y * z)) * x))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(7453(a,1),9820(a,1,2))]. 9822 K(x,x \ (y * z)) \ K(x,K((x \ (y * z)) \ z,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(8617(a,1),9821(a,1,2))]. 9823 K(x,x \ (y * z)) \ K(x,K(x \ (z * y),(x \ (y * z)) \ z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(3753(a,1),9822(a,1,2))]. 9824 K(x,x \ (y * z)) \ K(x,K(x \ (z * y),(y * z) \ (x * z))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(8521(a,1),9823(a,1,2))]. 9825 K(x,x \ (y * z)) \ K((y * z) \ z,K(x,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(9577(a,1),9824(a,1,2))]. 9826 K(x,x \ (y * z)) \ K(z * y,K(x,(y * z) \ z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(3724(a,1),9825(a,1,2))]. 9827 K(x,x \ (y * z)) \ K(z * y,K(x,z \ (y \ z))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(2316(a,1),9826(a,1,2,2,2))]. 9828 K(x,x \ (y * z)) \ K(y,K(x,z * y)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(8000(a,1),9827(a,1,2))]. 9829 K(x,x \ (y * z)) \ K(x,K(y,z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. [para(3768(a,1),9828(a,1,2))]. 9831 ((((x \ (y * z)) * x) / z) \ y) \ 1 = K(x \ (y * z),x) * K(x,K(y,z)). [hyper(2142,a,9829,a),flip(a)]. 9832 K(x \ (y * z),x) * K(x,K(y,z)) = K((x / z) \ y,x). [hyper(2723,a,9831,a),flip(a)]. 9833 K(x / (y \ z),z) = K((z / x) \ y,z). [hyper(57,a,7789,a(flip),b,9832,a)]. 9834 K(x / (y \ z),z) = K(z \ (x * y),z). [hyper(230,a,5136,a(flip),b,9833,a),flip(a)]. 9835 K(x / (y \ z),z) = K(x * (z \ y),z). [hyper(230,a,5479,a(flip),b,9834,a),flip(a)]. 9836 L(T(x \ R(x,y,z),u),(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). [para(2329(a,1),9800(a,1,1,1))]. 9837 L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). [hyper(57,a,5295,a(flip),b,9836,a)]. 9838 L(T(x \ R(x,y,z),u),x,T(w,v5)) = L((R(x,y,T(z,u)) \ 1) \ (x \ 1),(x \ 1) \ 1,w). [para(5749(a,1),9837(a,2,1,1))]. 9839 L(T(x \ R(x,y,z),u),x,T(w,v5)) = L((R(x,y,T(z,u)) \ x) \ 1,(x \ 1) \ 1,w). [para(5617(a,1),9838(a,2,1))]. 9840 L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(T(R(x,y,z) \ x,u) \ 1,(x \ 1) \ 1,w). [para(9087(a,2),9839(a,2,1,1))]. 9841 L(T((R(x,y,z) \ x) \ 1,u),(x \ 1) \ 1,w) = L(T(x \ R(x,y,z),u),x,T(w,v5)). [para(1845(a,2),9840(a,2,1)),flip(a)]. 9842 L(T(x \ R(x,y,z),u),(x \ 1) \ 1,w) = L(T(x \ R(x,y,z),u),x,T(w,v5)). [para(2329(a,1),9841(a,1,1,1))]. 9843 L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(T(x \ R(x,y,z),u),x,w). [hyper(57,a,5295,a(flip),b,9842,a),flip(a)]. 9844 a(x * (y \ z),y \ x,K(y,u)) * K(u,T((((w * y) / w) \ x) * y,K(y,w)) / ((z \ 1) * T(y,w))) = K(u,(y \ x) * z). [para(8546(a,1),8409(a,1,1))]. 9845 a(x * (y \ z),x,K(y,u)) * K(u,T((((w * y) / w) \ x) * y,K(y,w)) / ((z \ 1) * T(y,w))) = K(u,(y \ x) * z). [para(4612(a,1),9844(a,1,1))]. 9847 a(x * y,x,K(z,u)) * K(u,T((((w * z) / w) \ x) * z,K(z,w)) / ((y \ 1) * T(z,w))) = K(u,(z \ x) * y). [para(9338(a,1),9845(a,1,1))]. 9848 a(x * y,x,K(z,u)) * K(u,((z \ x) * T(z,w)) / ((y \ 1) * T(z,w))) = K(u,(z \ x) * y). [para(3293(a,1),9847(a,1,2,2,1))]. 9849 a(x * y,x,K(z,u)) * K(u,((z \ x) * z) / ((y \ 1) * z)) = K(u,(z \ x) * y). [para(9397(a,1),9848(a,1,2))]. 9850 a(x * y,x,K(z,u)) * K(u,T(x,z) / ((y \ 1) * z)) = K(u,(z \ x) * y). [para(649(a,2),9849(a,1,2,2,1))]. 9851 a(x,y,K(z * y,u)) * K(x,T(y,u) / ((z \ 1) * u)) = K(x,(u \ y) * z). [para(8557(a,1),9850(a,1,1))]. 9852 a(x,(y \ z) \ 1,K(u / (y \ z),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). [para(4792(a,1),9611(a,1,1,3))]. 9853 a(x,(y \ z) \ 1,K(u * (z \ y),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). [para(9835(a,1),9852(a,1,1,3))]. 9854 a(x,(y \ x) \ 1,K(z,u * y)) * K(z,(((x / y) \ 1) * (y * (x / y))) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). [para(9648(a,1),9853(a,1,1))]. 9855 a(x,y,K(z,u * y)) * K(z,(((x / y) \ 1) * (y * (x / y))) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). [para(8836(a,1),9854(a,1,1))]. 9856 a(x,y,K(z,u * y)) * K(z,(((y \ x) \ 1) * x) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). [para(5507(a,1),9855(a,1,2,2,1))]. 9857 a(x,y,K(z,u * y)) * K(z,(x * ((x / y) \ 1)) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). [para(8113(a,1),9856(a,1,2))]. 9858 a(x,y,K(z,u * y)) * K(z,(x * ((x / y) \ 1)) / ((u \ 1) * x)) = K(z,(y \ x) \ u). [hyper(230,a,4742,a(flip),b,9857,a),flip(a)]. 9859 a(x,y,K(z * y,u)) * K(x,(u * ((u / y) \ 1)) / ((z \ 1) * u)) = K(x,(y \ u) \ z). [para(6683(a,2),9858(a,1,1))]. 9860 K(x,y * (z * T(u * (w * K(v5,v6)),K(L(v6,w,u),v5) * 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). [para(2129(a,1),8115(a,1,2,2,2,2))]. 9861 K(x,y * (z * T(u * (w * K(v5,v6)),K(v6,L(v5,w,u)) * 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). [para(4624(a,1),9860(a,1,2,2,2,2,1))]. 9862 K(x,y * (z * T(u * (w * K(v5,v6)),K(v6,L(v5,w,u))))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). [para(3(a,1),9861(a,1,2,2,2,2))]. 9863 K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))) = K(x,y * (z * (u * (w * K(v5,v6))))). [hyper(7686,a,9862,a),flip(a)]. 9865 K(x,y * (z * (K(u,L(w,v5,v6)) * (v6 * v5)))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). [para(2173(a,1),9863(a,1,2,2,2))]. 9867 K(x,y * (z * ((K(u,w) * v5) * T(v6,v5)))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). [para(6858(a,1),9865(a,1,2,2,2))]. 9868 K(x,y * (z * (K(u,w) * (v5 * T(v6,v5))))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). [hyper(57,a,8820,a(flip),b,9867,a)]. 9869 K(x,y * (z * (K(u,w) * (v5 * v6)))) = K(x,y * (z * (v5 * (v6 * K(u,w))))). [para(93(a,1),9868(a,1,2,2,2,2))]. 9870 K(x,K(y,K(z,u)) * (w * (v5 * (v6 * K(v7,v8))))) = K(x,w * (K(v7,v8) * (v5 * v6))). [hyper(7640,a,9869,a),flip(a)]. 9871 K(x,y * (K(z,u) * (w * v5))) = K(x,y * (w * (v5 * K(z,u)))). [hyper(7640,a,9870,a),flip(a)]. 9872 K(x,y * (K(z,u) * (w * (z / v5)))) = K(x,y * (w * (T(z,u) / v5))). [hyper(230,a,7721,a(flip),b,9871,a),flip(a)]. 9873 K(x,y * (z * (T(T(z,u),w) \ v5))) = K(x,y * (v5 * (K(w,z) * K(u,z)))). [hyper(57,a,9232,a(flip),b,9871,a)]. 9874 K(x,y * (z * (T(u,w) / w))) = K(x,y * (z * (w \ u))). [hyper(57,a,7994,a(flip),b,9872,a),flip(a)]. 9875 K(x,K(y,z) * (u * (T(T(u,w),v5) \ y))) = K(x,T(y,z) * (K(v5,u) * K(w,u))). [para(1778(a,1),9873(a,2,2))]. 9876 K(x,T(y,z) * (K(u,w) * K(u,w))) = K(x,w * (T(T(w,u),u) \ T(y,z))). [para(8988(a,1),9875(a,1,2)),flip(a)]. 9877 K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,z * (T(T(z,y),y) \ T(u,w))). [hyper(57,a,9348,a,b,9876,a)]. 9878 K(x,T(y * (T(T(y,z),z) \ u),w)) = K(x,y * (T(T(y,z),z) \ T(u,w))). [hyper(57,a,9305,a(flip),b,9877,a)]. 9879 K(x,T(y * (T(T(y,z),z) \ u),w)) = K(x,T(u,w)). [hyper(230,a,7148,a(flip),b,9878,a),flip(a)]. 9881 K(x,T(y \ z,y)) = K(x,(z / K(u,w)) * ((1 / y) * K(w,u))). [hyper(57,a,9418,a(flip),b,9879,a),flip(a)]. 9882 K(x,(y / K(z,u)) * ((1 / w) * K(u,z))) = K(x,y / w). [hyper(5349,a,9881,a),flip(a)]. 9884 K(x,(y * K(z,u)) * ((1 / w) * K(z,u))) = K(x,y / w). [para(2166(a,1),9882(a,1,2,1))]. 9885 K(x,(y * K(z,u)) * ((w \ 1) * K(z,u))) = K(x,y / w). [hyper(57,a,2597,a(flip),b,9884,a)]. 9886 K(x,(y * K(z,u)) * (w \ K(z,u))) = K(x,y / w). [para(4735(a,1),9885(a,1,2,2))]. 9887 K(x,(y * z) * (u \ K(y,z))) = K(x,(z * y) / u). [para(79(a,1),9886(a,1,2,1))]. 9888 K(x,(y / z) * (u \ K(z,w))) = K(x,(y / T(z,w)) / u). [para(2471(a,1),9886(a,1,2,1))]. 9889 K(x,(y * (z \ 1)) * (u \ K(z,y))) = K(x,((z \ 1) * y) / u). [hyper(57,a,8805,a(flip),b,9887,a)]. 9890 ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = x * (x \ (L(y,z,u) * (y \ x))). [para(6407(a,1),5888(a,2,2))]. 9891 ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). [hyper(230,a,5,a(flip),b,9890,a),flip(a)]. 9893 (x \ ((x / y) * L((x / y) \ x,z,u))) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). [para(1245(a,1),9891(a,1,1))]. 9894 (x \ ((x / y) * L(y,z,u))) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). [para(72(a,1),9893(a,1,1,2,2,1))]. 9895 (x \ ((x / y) * L(y,z,u))) * x = L(y,z,u) * (y \ x). [para(719(a,1),9894(a,1,2))]. 9896 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). [hyper(709,a,9895,a)]. 9897 (L(x,y,z) * (x \ u)) / u = u \ ((u / x) * L(x,y,z)). [hyper(105,a,9895,a)]. 9898 L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). [para(3043(a,2),9895(a,1,1))]. 9899 x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. [para(9896(a,1),697(a,1,2))]. 9900 T(((x / y) * L(y,z,u)) \ x,x) = (L(y,z,u) * (y \ x)) \ x. [para(9896(a,1),715(a,2,1))]. 9901 T((L(x,y,y \ 1) / y) * L(y,z,u),L(x,y,y \ 1)) = L(y,z,u) * ((y \ 1) * x). [para(1140(a,1),9896(a,2,2))]. 9902 x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x)) = (L(y,z,u) * (y \ x)) / ((y \ L(y,z,u)) * x). [para(9898(a,1),3159(a,1,1)),flip(a)]. 9903 (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,y,z))) = a(x,x \ L(x,y,z),u). [para(9897(a,1),6237(a,1,2))]. 9904 (((x * y) / x) * L(x,z,u)) \ (x * y) = (x * y) / (L(x,z,u) * y). [para(4(a,1),9899(a,1,2,2)),flip(a)]. 9905 T(((x / y) * L(y,z,u)) \ x,x) = (y \ x) \ (L(y,z,u) \ x). [hyper(230,a,5966,a(flip),b,9900,a),flip(a)]. 9906 (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). [hyper(57,a,5070,a(flip),b,9904,a),flip(a)]. 9907 ((L(x,y,z) \ u) * L(x,y,z)) \ ((L(x,y,z) \ u) * x) = (x * (L(x,y,z) \ u)) / u. [para(5(a,1),9906(a,1,2)),flip(a)]. 9908 x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = a(x,x \ L(x,y,z),u). [hyper(57,a,6499,a(flip),b,9903,a)]. 9909 T((x * (y \ 1)) * L(y,z,u),L(x,y,y \ 1)) = L(y,z,u) * ((y \ 1) * x). [para(1182(a,1),9901(a,1,1,1))]. 9910 T((x * (y \ 1)) * L(y,z,u),x) = L(y,z,u) * ((y \ 1) * x). [hyper(4814,a,9909,a)]. 9911 T((x * (y \ 1)) * L(y,z,u),x) = (y \ 1) * (L(y,z,u) * x). [hyper(230,a,3217,a(flip),b,9910,a),flip(a)]. 9913 ((x \ 1) * (L(x,y,z) * u)) / u = u \ ((u * (x \ 1)) * L(x,y,z)). [para(9911(a,1),677(a,1,1))]. 9914 T((x * (y * (z * ((y * z) \ 1)))) * L(a(y,z,(y * z) \ 1),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). [para(5117(a,1),9911(a,1,1,1,2))]. 9915 x \ ((x * ((1 / y) \ 1)) * L(1 / y,z,u)) = (y * (L(1 / y,z,u) * x)) / x. [para(72(a,1),9913(a,1,1,1)),flip(a)]. 9916 x \ ((x * ((1 / y) \ 1)) * L(1 / y,z,u)) = (y * (L(y \ 1,z,u) * x)) / x. [para(613(a,1),9915(a,2,1,2,1,1))]. 9917 (x * (L(x \ 1,y,z) * u)) / u = u \ ((u * x) * L(1 / x,y,z)). [para(72(a,1),9916(a,1,2,1,2)),flip(a)]. 9918 (x * (L(x \ 1,y,z) * u)) / u = u \ ((u * x) * L(x \ 1,y,z)). [para(613(a,1),9917(a,2,2,2,1))]. 9919 (x * (L(x \ 1,y,z) * (x \ u))) / (x \ u) = (x \ u) \ (T(u,x) * L(x \ 1,y,z)). [para(649(a,2),9918(a,2,2,1))]. 9920 (a(x,x,y) * (L(a(x,x,y) \ 1,z,u) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). [para(6587(a,1),9918(a,2,2,1))]. 9921 T(x,L(y,z,u)) \ ((L(y,z,u) \ x) * y) = (y * (L(y,z,u) \ x)) / x. [para(649(a,2),9907(a,1,1))]. 9922 (x * (L(x,y,z) \ u)) / u = u \ ((u / L(x,y,z)) * x). [hyper(2450,a,9921,a),flip(a)]. 9923 T((x / L(y,z,u)) * y,x) = y * (L(y,z,u) \ x). [hyper(31,a,677,a,b,9922,a)]. 9924 T(x \ ((x / L(y,z,u)) * y),x) = x \ (y * (L(y,z,u) \ x)). [para(9922(a,1),95(a,1,1))]. 9925 T(x \ ((x / L(y,z,u)) * y),x) != w | x \ (y * (L(y,z,u) \ x)) = w. [para(9922(a,1),274(a,1,1))]. 9926 (x / L(y,z,z)) * y = y * (L(y,z,z) \ x). [hyper(57,a,7301,a(flip),b,9923,a)]. 9927 T(x \ ((x / L(y,z,u)) * y),x) != x \ w | y * (L(y,z,u) \ x) = w. [para(9924(a,2),41(a,1))]. 9928 x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x)) = a(y,y \ L(y,z,u),x). [hyper(230,a,6530,a(flip),b,9902,a),flip(a)]. 9929 x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) = a(y,y \ L(y,z,u),x). [para(3053(a,1),9928(a,1,2))]. 9930 K(x,T(y,K(z,u) * (w \ T(v5,w \ 1))) * ((w \ 1) * (T(v5,w \ 1) * K(z,u)))) = K(x,((K(z,T(u,v5 * (w \ 1))) * v5) * (w \ 1)) * y). [para(8941(a,1),6993(a,1,2,1))]. 9931 K(x,T(y,z * (u \ K(w,v5))) * ((u \ 1) * (T(z,u \ 1) * K(w,v5)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). [para(9210(a,1),9930(a,1,2,1))]. 9932 K(x,T(y,z * (u \ K(w,v5))) * ((u \ 1) * T(K(w,v5) * z,u \ 1))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). [hyper(57,a,8883,a,b,9931,a)]. 9933 K(x,T(y,z * (u \ K(w,v5))) * ((K(w,v5) * z) * (u \ 1))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). [para(93(a,1),9932(a,1,2,2))]. 9934 K(x,T(y,z * (u \ K(w,v5))) * (z * (K(w,v5) * (u \ 1)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). [hyper(57,a,9077,a(flip),b,9933,a)]. 9935 K(x,T(y,z * (u \ K(w,v5))) * (z * (u \ K(w,v5)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). [hyper(7781,a,9934,a)]. 9936 K(x,((K(y,T(z,u * (w \ 1))) * u) * (w \ 1)) * v5) = K(x,(u * (w \ K(y,z))) * v5). [hyper(5022,a,9935,a),flip(a)]. 9937 K(x,((K(y,T(z,u / w)) * u) * (w \ 1)) * v5) = K(x,(u * (w \ K(y,z))) * v5). [para(4819(a,1),9936(a,1,2,1,1,1,2))]. 9938 K(x,((K(y,T(z,u \ w)) * w) * (u \ 1)) * v5) = K(x,(w * (u \ K(y,z))) * v5). [para(7484(a,1),9937(a,1,2,1,1,1))]. 9939 K(x,(y * (z \ 1)) * (u * K(w,T(v5,z \ y)))) = K(x,(y * (z \ K(w,v5))) * u). [hyper(57,a,9059,a(flip),b,9938,a)]. 9940 K(x,(y * (z \ 1)) * (K(u,w) * v5)) = K(x,(y * (z \ K(u,w))) * v5). [hyper(7966,a,9939,a)]. 9942 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(x,y,K(w \ (T(T(z,z \ (w \ v5)),u) \ v5),T(T(z,w \ v5),u))). [para(670(a,1),9332(a,2,3,2,1))]. 9943 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(w \ (T(T(z,z \ (w \ v5)),u) \ v5),y,K(T(z,w \ v5),x)). [hyper(230,a,8546,a(flip),b,9942,a),flip(a)]. 9945 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(w \ (T(T(z,z \ (w \ v5)),u) \ v5),y,K(z,T(x,w \ v5))). [para(2226(a,1),9943(a,2,3))]. 9946 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (T(T(z,z \ (w \ v5)),u) \ v5))). [hyper(230,a,8546,a(flip),b,9945,a),flip(a)]. 9948 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (T(z,z \ (w \ v5)) \ v5))). [hyper(230,a,9643,a(flip),b,9946,a),flip(a)]. 9950 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (z \ v5))). [hyper(230,a,9643,a(flip),b,9948,a),flip(a)]. 9952 a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,w \ v5),u))) = a(z,y,K(x,w \ (z \ v5))). [para(670(a,1),9950(a,1,3,2,1))]. 9953 a(x,y,K(T(z,T(u,w \ v5)) \ (w \ v5),T(T(T(z,w \ v5),u),z))) = a(z,y,K(x,w \ (z \ v5))). [para(2226(a,1),9952(a,1,3))]. 9954 a(x,y,K(T(z,T(u,w \ v5)) \ (w \ v5),T(T(z,w \ v5),u))) = a(z,y,K(x,w \ (z \ v5))). [hyper(8558,a,9953,a)]. 9956 a(x,y,K((z \ u) / T(w,T(v5,z \ u)),T(w,v5))) = a(w,y,K(x,z \ (w \ u))). [para(3911(a,1),9954(a,1,3))]. 9957 a(x,y,K(z \ (u \ w),T(z,v5))) = a(z,y,K(x,u \ (z \ w))). [para(4036(a,1),9956(a,1,3))]. 9958 a(x \ (y \ z),u,K(x,w)) = a(x,u,K(w,y \ (x \ z))). [hyper(8553,a,9957,a)]. 9960 a(x / (y * z),u,K(z,w)) = a(z,u,K(w,y \ (z \ x))). [hyper(57,a,9526,a,b,9958,a)]. 9961 (x * K(y,z)) / a(y,u,K(z,u \ (y \ x))) = (x / (u * y)) * (u * T(y,z)). [para(9960(a,1),4619(a,1,2))]. 9962 (x * K(y,z)) * a(u \ (y \ x),u,K(z,y)) = (x / (u * y)) * (u * T(y,z)). [hyper(8660,a,9961,a)]. 9963 x * (K(y,z) * a(u \ (y \ x),u,K(z,y))) = (x / (u * y)) * (u * T(y,z)). [hyper(57,a,8986,a(flip),b,9962,a)]. 9964 x * K(y,L(z,u,u \ (y \ x))) = (x / (u * y)) * (u * T(y,z)). [para(4578(a,1),9963(a,1,2))]. 9965 (x / (y * z)) * (y * T(z,T(u,y))) = (x / (z * y)) * (T(z,u) * y). [hyper(57,a,7181,a(flip),b,9964,a),flip(a)]. 9966 (x / (y * z)) * (T(y,u) * z) = (x / z) * (z * K(y,T(u,z))). [hyper(8851,a,9965,a),flip(a)]. 9967 (x / (y * z)) * (T(y,u) * z) = (x / z) * (K(y,u) * z). [para(1979(a,1),9966(a,2,2))]. 9968 (((x * y) * z) / z) * (K(y,u) * z) = R(x,y,z) * (T(y,u) * z). [para(15(a,2),9967(a,1,1)),flip(a)]. 9969 R(x,y,z) * (T(y,u) * z) = (x * y) * (K(y,u) * z). [para(6(a,1),9968(a,1,1)),flip(a)]. 9971 K(x,L(y,z,u)) * (T(z,w) * u) = (K(x,y) * z) * (K(z,w) * u). [para(6846(a,1),9969(a,1,1))]. 9972 (K(x,T(y,z)) * z) * (K(z,u) * w) = (T(z,u) * K(x,y)) * w. [hyper(57,a,9583,a(flip),b,9971,a),flip(a)]. 9973 (x * K(y,z)) * (K(x,u) * w) = (T(x,u) * K(y,z)) * w. [para(3863(a,1),9972(a,1,1))]. 9974 T((T(x,y) * K(z,u)) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). [hyper(230,a,5035,a,b,9973,a)]. 9975 T(T(x,y) * (K(z,u) * L(K(z,u) \ (T(x,y) \ w),v5,v5 \ 1)),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). [para(477(a,1),9974(a,1,1))]. 9976 T(T(x,y) * (K(z,u) * L(K(u,z) * (T(x,y) \ w),v5,v5 \ 1)),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). [para(2129(a,1),9975(a,1,1,2,2,1))]. 9977 T(T(x,y) * L(K(z,u) * (K(u,z) * (T(x,y) \ w)),v5,v5 \ 1),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). [para(9448(a,2),9976(a,1,1,2))]. 9978 T(T(x,y) * L(T(x,y) \ z,u,u \ 1),z) = (x * K(w,v5)) * (K(x,y) * L((T(x,y) * K(w,v5)) \ z,u,u \ 1)). [para(2124(a,1),9977(a,1,1,2,1))]. 9979 (x * K(y,z)) * (K(x,u) * L((T(x,u) * K(y,z)) \ w,v5,v5 \ 1)) = T(x,u) * L(T(x,u) \ w,v5,v5 \ 1). [hyper(57,a,5035,a(flip),b,9978,a),flip(a)]. 9981 (x * K(y,z)) * L(K(x,u) * ((T(x,u) * K(y,z)) \ w),v5,v5 \ 1) = T(x,u) * L(T(x,u) \ w,v5,v5 \ 1). [para(9448(a,2),9979(a,1,2))]. 9982 T(x,y) * L(T(x,y) \ z,u,u \ 1) = (x * K(w,v5)) * L((x * K(w,v5)) \ z,u,u \ 1). [para(9707(a,1),9981(a,1,2,1)),flip(a)]. 9983 T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * (K(w,v5) * L(K(w,v5) \ (x \ z),u,u \ 1)). [hyper(230,a,477,a(flip),b,9982,a),flip(a)]. 9985 T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * (K(w,v5) * L(K(v5,w) * (x \ z),u,u \ 1)). [para(2129(a,1),9983(a,2,2,2,1))]. 9986 T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * L(K(w,v5) * (K(v5,w) * (x \ z)),u,u \ 1). [para(9448(a,2),9985(a,2,2))]. 9987 T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * L(x \ z,u,u \ 1). [para(2124(a,1),9986(a,2,2,1))]. 9988 T(x * L(x \ y,z,z \ 1),u) = x * L(x \ T(y,u),z,z \ 1). [hyper(57,a,1485,a(flip),b,9987,a)]. 9989 x \ T(x * L(x \ y,z,z \ 1),u) = L(x \ T(y,u),z,z \ 1). [hyper(101,a,9988,a(flip))]. 9990 (x \ (x * L(x \ y,z,z \ 1))) / L(x \ T(y,u),z,z \ 1) = K(u,T(x * L(x \ y,z,z \ 1),x)). [para(9989(a,1),5197(a,1,2))]. 9991 K(x,T(y * L(y \ z,u,u \ 1),y)) = L(y \ z,u,u \ 1) / L(y \ T(z,x),u,u \ 1). [para(4(a,1),9990(a,1,1)),flip(a)]. 9992 L(x \ y,z,z \ 1) / L(x \ T(y,u),z,z \ 1) = K(u,L(x \ y,z,z \ 1) * x). [hyper(57,a,1757,a(flip),b,9991,a),flip(a)]. 9994 L(x \ y,z,z \ 1) / L(x \ T(y,u),z,z \ 1) = K(u,x * L(y / x,z,z \ 1)). [hyper(230,a,3935,a(flip),b,9992,a),flip(a)]. 9995 K(T(x,y),y * L(z / y,u,u \ 1)) = L(y \ z,u,u \ 1) / L(K(z,x) * (y \ z),u,u \ 1). [para(4928(a,1),9994(a,1,2,1)),flip(a)]. 9996 K(T(x,y),y * L(z / y,u,u \ 1)) = K(x,z). [hyper(230,a,9449,a(flip),b,9995,a),flip(a)]. 9997 K(x,T(y * L(z / y,u,u \ 1),y)) = K(x,z). [hyper(2416,a,9996,a)]. 9999 K(x,L(y / z,u,u \ 1) * z) = K(x,y). [hyper(57,a,1757,a(flip),b,9997,a)]. 10000 K(x,y * L(z,u,u \ 1)) = K(x,y * z). [para(356(a,1),9999(a,1,2))]. 10001 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(57,a,2971,a(flip),b,10000,a)]. 10002 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [para(843(a,1),10000(a,1,2,2))]. 10003 K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). [para(1183(a,1),10000(a,1,2,2)),flip(a)]. 10005 K(x,T(y,z \ u) * (u / z)) = K(x,(u * (z \ 1)) * y). [hyper(57,a,7598,a(flip),b,10001,a),flip(a)]. 10006 K(x,T(y,z \ x) * (z \ x)) = K(x,x * (z \ y)). [hyper(8879,a,10002,a),flip(a)]. 10007 K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * (z \ v5)). [hyper(57,a,1950,a,b,10002,a)]. 10008 K(x,(y \ x) * z) = K(x,x * (y \ z)). [hyper(5022,a,10006,a)]. 10009 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(57,a,7939,a(flip),b,10005,a),flip(a)]. 10010 K(x,(y * (z \ K(u,w))) * v5) = K(x,(y / z) * (K(u,w) * v5)). [hyper(57,a,9940,a(flip),b,10009,a)]. 10011 K(x,(y / z) * (u \ K(z,y))) = K(x,((z \ 1) * y) / u). [hyper(57,a,9889,a(flip),b,10009,a),flip(a)]. 10012 K(x,(y / T(z,y)) / u) = K(x,((z \ 1) * y) / u). [hyper(57,a,9888,a(flip),b,10011,a)]. 10013 K(x,((y \ 1) * z) / u) = K(x,(y \ z) / u). [hyper(57,a,8002,a(flip),b,10012,a),flip(a)]. 10014 K(x,L(y,z,z \ 1) / u) = K(x,(z \ (z * y)) / u). [hyper(57,a,5157,a(flip),b,10013,a)]. 10015 K(x,L(y,z,z \ 1) / u) = K(x,y / u). [para(4(a,1),10014(a,2,2,1))]. 10016 K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). [hyper(57,a,9722,a(flip),b,10015,a),flip(a)]. 10017 K(x,(y * (z \ 1)) / u) = K(x,(y / z) / u). [para(1097(a,1),10015(a,1,2,1))]. 10019 K(x,K(y,z * u)) * K(x,(u / z) / y) = K(x,y \ (u * (z \ 1))). [para(10017(a,1),9248(a,1,2))]. 10020 a(x,y,K(z * y,u)) * K(x,(u / (u / y)) / ((z \ 1) * u)) = K(x,(y \ u) \ z). [para(10017(a,1),9859(a,1,2))]. 10021 K(x,(y / z) * (K(u,w) * T(v5,z \ y))) = K(x,v5 * (y * (z \ K(u,w)))). [hyper(57,a,9037,a(flip),b,10010,a),flip(a)]. 10022 K(x,y \ (z * (u \ 1))) = K(x,y \ (z / u)). [hyper(57,a,9247,a(flip),b,10019,a),flip(a)]. 10023 K(x,y \ (z * (1 / u))) = K(x,y \ (z / u)). [hyper(57,a,4409,a,b,10022,a)]. 10024 K(x,(y / z) * T(u * K(w,v5),z \ y)) = K(x,u * (y * (z \ K(w,v5)))). [hyper(57,a,9345,a,b,10021,a)]. 10025 K(x,T((y * K(z,u)) * (w / v5),K(w,v5))) = K(x,y * (w * (v5 \ K(z,u)))). [para(4273(a,2),10024(a,1,2))]. 10026 K(x,(y * K(z,u)) * (w / v5)) = K(x,y * (w * (v5 \ K(z,u)))). [hyper(7476,a,10025,a)]. 10028 K(x,y * (z * (u \ K(z,w)))) != v5 | K(x,y * (T(z,w) / u)) = v5. [para(10026(a,1),8762(a,1))]. 10029 a(x,y,K(z * y,u)) * K(x,T(y,u) / ((z \ 1) * u)) = K(x,(y \ u) \ z). [para(8108(a,1),10020(a,1,2))]. 10030 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(57,a,9851,a(flip),b,10029,a),flip(a)]. 10031 K(x,y \ (z \ (u * y))) = K(x,((z * y) \ u) * y). [hyper(57,a,9783,a(flip),b,10030,a)]. 10032 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(u \ y,u,K(z,x)). [hyper(57,a,9334,a(flip),b,10030,a),flip(a)]. 10033 K(x,(L(y,z,u) \ L(y \ L(y,z,u),y,w)) * y) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). [hyper(57,a,6312,a(flip),b,10030,a),flip(a)]. 10034 K(x,(y \ z) * T(u,y \ z)) = K(x,u / (z \ y)). [hyper(57,a,2608,a(flip),b,10030,a),flip(a)]. 10035 K(x,((y * z) \ y) * u) = K(x,z \ u). [para(4(a,1),10030(a,1,2,1)),flip(a)]. 10036 K(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) * w) = K(x,(a(u \ 1,z,y) \ 1) \ w). [para(6328(a,1),10030(a,1,2,1)),flip(a)]. 10037 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / (u / w)) = K(z,y / ((u / w) / x)). [para(10030(a,1),9728(a,1,1,3))]. 10038 K(x,(y / z) \ u) = K(x,(z / y) * u). [para(727(a,1),10035(a,1,2,1)),flip(a)]. 10039 K(x,y \ ((y * z) / u)) = K(x,(z / (y * u)) * y). [hyper(57,a,9799,a(flip),b,10038,a)]. 10040 K(x,(T(y,z) / u) * T(T(z,y),u \ y)) = K(x,z / (u / y)). [hyper(57,a,7724,a(flip),b,10038,a),flip(a)]. 10041 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(93(a,1),10034(a,1,2)),flip(a)]. 10042 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [hyper(57,a,10016,a,b,10041,a)]. 10043 K(x,y * ((z * u) \ u)) = K(x,y / T(z,u)). [para(17(a,2),10041(a,1,2,2)),flip(a)]. 10044 K(x,L(y * z,y,u)) = K(x,(y * u) * (u \ z)). [hyper(57,a,6914,a,b,10042,a)]. 10045 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [hyper(57,a,2753,a(flip),b,10042,a),flip(a)]. 10046 K(x,L(T(y,z) * u,y,w)) = K(x,(T(y,z) * w) * (w \ u)). [hyper(57,a,9542,a(flip),b,10044,a)]. 10047 K(x,T(y,z) * (T(z,y) / u)) = K(x,y / (u / z)). [hyper(8407,a,10040,a)]. 10048 K(x,y / (z / u)) = K(x,y * (u / z)). [para(4910(a,1),10047(a,1,2)),flip(a)]. 10049 K(x,((y * z) / u) / y) = K(x,y * (z / (y * u))). [hyper(57,a,9793,a,b,10048,a)]. 10051 K(x,T(y \ (z \ (u * y)),u)) = K(x,y * (u / (y * z))). [hyper(57,a,9172,a,b,10049,a)]. 10052 K(T(x \ (y \ (z * x)),z),u) = w / (K(u,x * (z / (x * y))) * w). [para(10051(a,1),2131(a,1,2,1)),flip(a)]. 10054 K(T(x \ (y \ (z * x)),z),u) = K(x * (z / (x * y)),u). [hyper(230,a,2131,a(flip),b,10052,a),flip(a)]. 10055 K(x \ (y \ (z * x)),T(u,z)) = K(x * (z / (x * y)),u). [hyper(2416,a,10054,a)]. 10056 a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / ((u / w) / x)). [para(10048(a,1),10037(a,1,2))]. 10057 K(x,y / (((z / u) \ 1) / w)) = K(x,y / ((u / z) / w)). [hyper(57,a,9765,a(flip),b,10056,a)]. 10058 K(x,y * (z / ((u / w) \ 1))) = K(x,y / ((w / u) / z)). [hyper(57,a,10048,a(flip),b,10057,a)]. 10059 K(x,y / ((z / u) / w)) = K(x,y * (w * (u / z))). [hyper(57,a,10003,a(flip),b,10058,a),flip(a)]. 10060 K(x,y * (z * (T(u,w) / w))) = K(x,y / ((u \ w) / z)). [hyper(57,a,9731,a(flip),b,10059,a),flip(a)]. 10061 K(x,y / ((z \ u) / w)) = K(x,y * (w * (u \ z))). [hyper(57,a,9874,a(flip),b,10060,a),flip(a)]. 10062 K(x,y * (z / (u \ w))) = K(x,y * (z * (w \ u))). [hyper(57,a,10048,a(flip),b,10061,a)]. 10063 K(x,y * (T(z,u \ w) * (u \ w))) = K(x,y * ((w \ u) \ z)). [hyper(57,a,9760,a(flip),b,10062,a),flip(a)]. 10064 K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)). [hyper(57,a,9283,a(flip),b,10063,a),flip(a)]. 10065 K(x,y * ((z \ u) * (w \ 1))) = K(x,y / (w * (u \ z))). [hyper(57,a,10045,a(flip),b,10064,a),flip(a)]. 10066 x / (K(y,z * ((u \ w) * v5)) * x) = K(z * ((w \ u) \ v5),y). [para(10064(a,1),2131(a,1,2,1))]. 10067 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [hyper(57,a,10001,a(flip),b,10065,a),flip(a)]. 10068 K(x,y * ((z \ a(u,w,u)) / v5)) = K(x,y / (v5 * z)). [para(609(a,1),10067(a,1,2,2,2)),flip(a)]. 10069 K(x,y * ((z \ a(u,w,u)) * (v5 \ v6))) = K(x,y / ((v6 \ v5) * z)). [hyper(57,a,10062,a(flip),b,10068,a)]. 10070 K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). [hyper(2141,a,10066,a),flip(a)]. 10071 K(K(x,y) * ((z \ T(y,x)) * u),w) = K((y \ z) \ u,w). [hyper(57,a,8983,a(flip),b,10070,a),flip(a)]. 10072 K((x \ y) \ z,u) = K((y \ x) * z,u). [hyper(57,a,9390,a(flip),b,10071,a),flip(a)]. 10073 K(x \ (y \ (z * x)),u) = K(((y * x) \ z) * x,u). [hyper(9786,a,10072,a)]. 10075 K(((x * y) \ z) * y,T(u,z)) = K(y * (z / (y * x)),u). [hyper(57,a,10055,a(flip),b,10073,a),flip(a)]. 10076 K(((x * y) \ z) * (y * K(z,((x * y) \ z) * y)),u) = K(y * (z / (y * x)),u). [hyper(57,a,5219,a,b,10075,a)]. 10077 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(57,a,10007,a(flip),b,10069,a),flip(a)]. 10078 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(u,z,K(y,x)). [hyper(57,a,8724,a(flip),b,10077,a),flip(a)]. 10079 a(x \ y,x,K(z,u)) = a(x,z,K(y,u)). [hyper(57,a,10032,a(flip),b,10078,a)]. 10080 a(x,y,K(z,u \ y)) = a(u,x,K(y,z)). [hyper(57,a,8890,a(flip),b,10079,a)]. 10081 a(x,y,K(z \ u,z \ y)) = a(z,z \ y,K(u,x)). [hyper(57,a,8889,a(flip),b,10079,a)]. 10082 L(x,y,a(z,y,K(u,w))) != v5 | x = v5. [para(10079(a,1),4702(a,1,3))]. 10083 L(x,y,a(z,y,K(u,w))) = x. [hyper(10082,a,xx),flip(a)]. 10084 a(x,y,K(z \ u,z \ y)) = a(z,y,K(u,x)). [hyper(230,a,6931,a(flip),b,10081,a),flip(a)]. 10085 a(x,y,K(z,x \ u)) = a(x,z,K(u,y)). [hyper(57,a,10080,a(flip),b,10084,a)]. 10086 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(6708,a,10085,a)]. 10087 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(6475,a,10085,a),flip(a)]. 10088 a(x,T(y,z),K(u,w)) = a(u,w,K(x,y)). [hyper(8589,a,10086,a),flip(a)]. 10089 a(x \ y,y,K(z,u)) = a(z,u,K(y,x)). [hyper(6707,a,10086,a),flip(a)]. 10090 a(x,y,K(y \ z,u)) = a(x,u,K(y,z)). [hyper(6706,a,10086,a),flip(a)]. 10091 a(x,y,K(z,u)) = a(z,u,K(x,y)). [hyper(6684,a,10086,a)]. 10092 a(x,y,K(z,u \ y)) = a(x,z,K(y,u)). [hyper(230,a,10080,a,b,10086,a)]. 10093 a(x,y \ 1,K(z,u)) = a(z,u,K(y,x)). [hyper(57,a,6698,a(flip),b,10086,a),flip(a)]. 10094 x * a(y,z,K(u,w)) = x * a(w,y,K(u,z)). [hyper(52,a,10086,a)]. 10095 x * a(y,z,K(x,u)) = T(x,a(z,u,y)). [para(10086(a,1),4968(a,1,2))]. 10096 x * a(y,z,K(x,u)) != w | T(x,a(z,u,y)) = w. [para(10086(a,1),4970(a,1,2))]. 10097 (T(x,y) * K(z,u)) * a(u,y,K(z,x)) = y \ ((x * y) * K(z,u)). [para(10086(a,1),6215(a,1,2))]. 10098 x * a(y,x,K(z,u)) = T(x,a(y,u,z)). [para(10086(a,1),6714(a,1,2))]. 10099 x * a(y,z,K(u,w)) = x * a(u,w,K(y,z)). [para(10086(a,1),6697(a,2,2))]. 10100 K(x,y) * a(y,x,K(z,u)) = K(x,L(y,u,z)). [para(10086(a,1),6709(a,1,2))]. 10101 K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). [para(10086(a,1),6710(a,1,2))]. 10102 a(x,y,K(z,u)) * K(u,y) = K(u,L(y,x,z)). [para(10086(a,2),6711(a,1,1))]. 10103 a(x,T(y,z),K(u,w)) != v5 | a(u,w,K(x,y)) = v5. [para(10086(a,1),8589(a,1))]. 10104 (x * y) * a(z,u,K(x,w)) = T(x,a(u,w,z)) * y. [para(10086(a,1),8568(a,1,2))]. 10105 K(x,y) * a(y,x,K(z,u)) != w | K(x,L(y,u,z)) = w. [para(10086(a,1),8575(a,1,2))]. 10106 a(x,y,K(K(z,u) * w,v5)) = a(x,v5,K(y,w)). [hyper(9507,a,10087,a)]. 10107 a(x,y \ z,K(u,z)) = a(x,u,K(y,z)). [hyper(4506,a,10087,a),flip(a)]. 10108 a(x,y,K(z,L(u,w,v5))) = L(a(x,u,K(y,z)),w,v5). [para(10087(a,1),5040(a,2,1))]. 10109 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). [para(10087(a,1),6710(a,1,2))]. 10110 a(x,y,K(z,u)) * K(x,y) = K(x,L(y,z,u)). [para(10087(a,1),6711(a,1,1))]. 10112 a(x,K(y,z) * u,K(w,v5)) = a(w,v5,K(x,u)). [hyper(230,a,9556,a,b,10091,a)]. 10113 (T(x,y) * K(z,u)) * a(z,u,K(y,x)) = y \ ((x * y) * K(z,u)). [para(10091(a,1),6215(a,1,2))]. 10114 K(x,y) * a(x,z,a(u,y,K(w,v5))) = K(x,L(y,z,a(w,v5,u))). [para(10091(a,1),6830(a,1,2,3))]. 10116 (K(x,y) * (T(z,u) * w)) * a(w,y,K(x,z)) = (T(T(z,K(y,x)),u) * K(x,y)) * w. [para(10088(a,1),6724(a,1,2))]. 10117 K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,y) * a(x,z,a(u,y,K(w,v5))). [para(10090(a,1),7091(a,2,2,3))]. 10118 a(x,y,K(z,u)) * (K(x,T(y,z)) * u) = (z * K(x,y)) * (z \ u). [para(10092(a,1),8579(a,1,1))]. 10119 a(x,y,K(z,u)) * u = z * T(z \ u,a(x,z,y)). [para(10092(a,1),9101(a,1,1))]. 10120 T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (a(x,y,K(z,u)) \ u). [para(10092(a,1),9162(a,2,2,1))]. 10121 L(x,y,K(z,u)) = T(x,a(y,z,u)). [hyper(7042,a,10095,a)]. 10122 T(x,a(y,z,u)) != w | L(x,y,K(z,u)) = w. [para(10095(a,1),7042(a,1))]. 10123 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(230,a,7019,a,b,10121,a)]. 10124 L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). [hyper(230,a,6794,a(flip),b,10121,a),flip(a)]. 10125 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(7045,a,10123,a),flip(a)]. 10126 L(x,y,K(z,u)) = T(x,a(z,u,y)). [hyper(230,a,7019,a(flip),b,10123,a),flip(a)]. 10127 L(x,y \ 1,K(z,u)) = L(x,u,K(z,y)). [hyper(230,a,2598,a(flip),b,10123,a),flip(a)]. 10128 L(x,y * z,K(y,u)) = L(x,u,K(z,y)). [hyper(230,a,1884,a(flip),b,10123,a),flip(a)]. 10129 L(x * R(x \ 1,y,z),u,K(w,v5)) = a((y * z) \ (L(x,w,K(v5,u)) \ (y * z)),y,z). [hyper(57,a,6361,a(flip),b,10123,a),flip(a)]. 10130 L(x,y,K(L(y,z,u) \ w,v5)) = L(x,v5,K(y,w)). [para(2953(a,1),10123(a,2,3))]. 10131 L(x,a(y,z,u),K(w,v5)) = L(x,v5,a(y,z,K(u,w))). [para(4865(a,2),10123(a,2,3))]. 10132 L(L(x,y,K(z,u)),u,y) = L(x,u,T(y,z)). [para(10123(a,2),7048(a,1,1))]. 10133 T(x,a(y,z,u) \ 1) = L(x,y,K(u,z)). [hyper(230,a,6791,a,b,10126,a)]. 10134 T(x,a(y,z,u) \ x) = L(x,y,K(u,z)). [hyper(230,a,6782,a,b,10126,a)]. 10135 x * T(y,x * a(x,z,u)) = L(y * x,u,K(x,z)). [hyper(230,a,6253,a,b,10126,a)]. 10136 a(x,y,z) * L(u,z,K(x,y)) = u * a(x,y,z). [para(10126(a,2),93(a,1,2))]. 10137 a(x,y,z) * L(u,z,K(x,y)) != w | u * a(x,y,z) = w. [para(10126(a,2),216(a,1,2))]. 10138 a(x,y,K(z,u)) * (z * w) = L(z,u,K(x,y)) * w. [para(10126(a,2),4971(a,2,1))]. 10139 a(x,y,z) * (L(u,z,K(x,y)) * x) = (u * a(x,y,z)) * x. [para(10126(a,2),6097(a,1,2,1))]. 10140 a(x,y,K(z,u)) * (u * w) = L(u,x,K(z,y)) * w. [para(10126(a,2),6717(a,2,1))]. 10141 L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. [para(10126(a,2),7066(a,1))]. 10142 (x * y) * a(x,z,K(u,w)) = L(x,u,K(w,z)) * y. [para(10126(a,2),8566(a,2,1))]. 10143 (x * y) * a(z,u,K(w,x)) = L(x,z,K(w,u)) * y. [para(10126(a,2),8567(a,2,1))]. 10144 a(x,y,K(z,u)) * (w * u) = w * L(u,x,K(z,y)). [para(10126(a,2),8571(a,2,2))]. 10145 L(T(x,y \ (z \ u)),y \ (z \ u),K(y,z)) = T(x,(z * y) \ u). [para(222(a,1),10124(a,2,2))]. 10146 L(x * y,x \ 1,K(z,u)) = T(y * x,L(x \ 1,z,u)). [para(1034(a,1),10124(a,1,1))]. 10147 L(x,y,L(z,x,K(u,w))) = L(x,y,T(z,L(x,u,w))). [para(10124(a,1),3430(a,1,3)),flip(a)]. 10148 L((K(x,y) / z) \ u,z,z \ 1) = L(z * (K(y,x) * u),y,K(x,z)). [hyper(57,a,7310,a,b,10127,a)]. 10149 L(L(x,y,z \ (y \ z)),z,K(z \ (y \ z),y)) = L(x,y,z \ (z / y)). [hyper(57,a,3287,a(flip),b,10128,a),flip(a)]. 10150 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(230,a,1282,a(flip),b,10133,a),flip(a)]. 10151 L(a(x,y,z) \ u,x,K(z,y)) = u / (1 \ a(x,y,z)). [hyper(57,a,2101,a(flip),b,10133,a),flip(a)]. 10152 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(49,a,10150,a)]. 10153 x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,x * (a(u,w,w \ 1) \ 1))). [para(10152(a,1),6996(a,1,1)),flip(a)]. 10154 L(L(x,y,K(z,u)),w,v5) * a(y,u,z) = a(y,u,z) * L(x,w,v5). [para(10134(a,1),746(a,1,1,1))]. 10155 L(x,y \ z,K(y,u)) != w | L(x,u,K(z,y)) = w. [para(7024(a,2),10122(a,1))]. 10156 L((x * y) \ z,u,K(y,x)) = L(y \ (x \ z),y,T(x,u)). [para(222(a,1),10125(a,1,1))]. 10157 L(L(x,y,K(z,u)),u,y) = x * T(x \ L(x,u,y),z). [hyper(230,a,8591,a,b,10132,a),flip(a)]. 10158 T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. [para(10121(a,1),10141(a,1))]. 10159 K(x,y) * a(y,x,K(z,L(u,w,v5))) = K(x,L(y,u,L(z,w,v5))). [para(4624(a,1),10100(a,1,2,3))]. 10160 K(x,L(y,L(z,u,w),z)) = K(x,y) * 1. [para(4534(a,1),10101(a,1,2)),flip(a)]. 10161 K(x,L(y,L(z,u,w),z)) != v5 | K(x,y) = v5. [para(10160(a,2),104(a,1))]. 10163 T(x * a(y,x,K(z,u)),K(x,u)) = T(x,u) * K(u,L(x,y,z)). [para(10102(a,1),4005(a,1,2)),flip(a)]. 10164 x \ ((K(y,z) * (T(x,u) * w)) * a(y,z,K(x,w))) = (K(z,y) * x) \ (T(x,u) * w). [para(10106(a,1),9709(a,1,2,2))]. 10165 K(x,L(y,z,u \ (u / w))) = K(x,L(y,w,z)). [hyper(57,a,6835,a,b,10109,a)]. 10166 T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(y,u \ z,K(x,z)) \ u). [para(10112(a,1),7312(a,1,2,1)),flip(a)]. 10167 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [para(66(a,1),10165(a,1,2,3,2))]. 10168 K(x,L(y,z \ u,w)) = K(x,L(y,w,u \ z)). [para(69(a,1),10165(a,1,2,3,2)),flip(a)]. 10169 K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * ((w \ 1) \ u)). [hyper(57,a,10046,a(flip),b,10167,a),flip(a)]. 10170 K(x,L(L(y,z,u),u,z)) = K(x,y). [hyper(57,a,7271,a(flip),b,10167,a),flip(a)]. 10171 T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). [para(10167(a,1),1592(a,2,2))]. 10172 K(x,L(L((y * (z \ 1)) \ u,z,z \ 1),y,z \ 1)) = K(x,z * (y \ u)). [para(1151(a,2),10170(a,1,2,1))]. 10173 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(5420(a,1),10170(a,1,2,1))]. 10174 T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). [hyper(230,a,1592,a,b,10171,a),flip(a)]. 10175 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(614(a,1),10174(a,1,2,3)),flip(a)]. 10176 T(x,L(y,z \ 1,u)) = T(x,L(y,z,u \ 1)). [hyper(230,a,10174,a,b,10175,a),flip(a)]. 10177 T(x,L(y \ L(y,z,u),y,w)) = T(x,y \ L(y,z,u)). [para(5420(a,1),10175(a,1,2)),flip(a)]. 10178 T(x,L(y,z,(u \ 1) \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. [para(10176(a,1),6872(a,1,1))]. 10179 (x * y) * a(z,u,K(x,y)) != w | T(x * y,a(u,y,z)) = w. [para(1806(a,1),10096(a,1,2,3))]. 10180 L(x,y,K(z,u \ L(y,w,v5))) = L(x,z,K(y,u)). [para(2039(a,1),10130(a,1,3))]. 10181 a(x,y,z) * (x * y) = (x * y) * a(x,y,z). [para(3424(a,1),10136(a,1,2))]. 10182 a(x,y,z) * (x * y) = x * (y * a(x,y,z)). [hyper(230,a,6107,a(flip),b,10181,a),flip(a)]. 10183 T(a(x,y,z),(x * y) \ 1) = a(x,y,z). [hyper(29,a,1028,a,b,10181,a)]. 10185 a(x,y,z) / (x * y) = (x * y) \ a(x,y,z). [para(10183(a,1),1039(a,1,2)),flip(a)]. 10186 L(x,y,K(z \ u,z)) != w | L(x,y,K(u,z)) = w. [para(10123(a,1),10155(a,1))]. 10189 L(x,y,K(z \ u,u)) != w | L(x,y,K(u,z)) = w. [para(2401(a,2),10186(a,1))]. 10190 L(x,y,K(z,z \ u)) != w | L(x,y,K(z,u)) = w. [para(2039(a,1),10189(a,1,3))]. 10191 L(x,y,K(z \ 1,u)) != w | L(x,y,K(u,z)) = w. [para(2402(a,2),10189(a,1))]. 10192 L(x,y,K(z,u \ y)) != w | L(x,z,K(y,u)) = w. [para(10123(a,1),10189(a,1))]. 10193 L(x,y,K(y \ z,u)) != w | L(x,u,K(y,z)) = w. [para(10123(a,2),10190(a,1))]. 10195 L(x,y,K(z \ u,w)) != v5 | L(x,y,K(w,u \ z)) = v5. [para(2032(a,1),10191(a,1,3))]. 10196 L(x,y \ 1,K(z,u)) != w | L(x,u,K(z,y)) = w. [para(10123(a,2),10191(a,1))]. 10197 L(a(x,y,K(z,u)),w * (v5 * K(v6,v7)),v8) = a(x,z,K(u,L(y,w * v5,v8))). [para(9544(a,1),10108(a,1,3)),flip(a)]. 10198 x * T(x \ y,a(z,x,u)) = T(y,a(x,u,z)). [hyper(6750,a,10119,a),flip(a)]. 10199 L(x \ 1,a(y,z,u),K(w,v5 \ 1)) = R(x,v5,a(y,z,K(u,w)) \ 1) \ 1. [hyper(230,a,5751,a(flip),b,10131,a),flip(a)]. 10200 R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L(x \ 1,v5,a(y,z,K(u,w))) \ 1. [para(10131(a,1),5715(a,2,1))]. 10201 L(x,y,a(y,z,u)) * (y * a(y,z,u)) = a(y,z,u) * L(x * y,u,K(y,z)). [para(10135(a,1),1531(a,1,2)),flip(a)]. 10202 (L(x,y,K(z,u)) * (L(z,u,y) \ z)) \ ((L(z,u,y) \ z) * (x * z)) = z. [para(10140(a,1),6545(a,1,1))]. 10203 L(x,y,K(z,u)) * (z * a(x,u,y)) = x * (a(x,u,y) * z). [hyper(57,a,4876,a(flip),b,10142,a),flip(a)]. 10204 L(a(x,y,z),u,x) * (x * u) = L(x,z,K(u,y)) * (u * a(x,y,z)). [hyper(57,a,6780,a(flip),b,10143,a)]. 10205 L(x,y,L(z,x,K(u,w))) = L(x,y,z). [hyper(230,a,3446,a(flip),b,10147,a),flip(a)]. 10207 L(x,y,L(z,u,K(x,w))) = L(x,y,z). [para(10123(a,1),10205(a,1,3))]. 10208 L(a(x,y,z \ u) \ w,x,K(y,u \ z)) = w / (1 \ a(x,y,z \ u)). [para(2039(a,1),10151(a,1,3))]. 10209 L(L(x,y,K(z,u)),u,y) != w | L(x,u,T(y,z)) = w. [para(10157(a,2),8597(a,1))]. 10210 x \ (y * K(z,y \ L(y,u,w))) = (x \ y) * K(z,y \ L(y,u,w)). [para(10173(a,1),6927(a,1,2,2))]. 10211 T(x,(y * z) \ (y * L(z,u,w))) = T(x,z \ L(z,u,w)). [para(83(a,1),10177(a,1,2))]. 10212 T(x,(y * z) \ (z * L(T(y,z),u,w))) = T(x,T(y,z) \ L(T(y,z),u,w)). [para(302(a,1),10177(a,1,2))]. 10213 T(x * y,L(y \ 1,z,u)) = L(y * x,u,K(z,y)). [hyper(10196,a,10146,a),flip(a)]. 10214 T(x,L(y \ 1,z,u)) * y = L(y * x,u,K(z,y)). [hyper(57,a,1403,a(flip),b,10213,a)]. 10215 L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)) = L(a(x,y,z),u,K(x,y * z)). [para(6560(a,2),10156(a,1,1)),flip(a)]. 10216 T(x,y \ L(y,z,u)) = T(x,a(y,z,u)). [hyper(57,a,7087,a(flip),b,10211,a),flip(a)]. 10218 T(x,a(y,z,u)) * (L(y,z,u) \ y) = (L(y,z,u) \ y) * x. [para(10216(a,1),2070(a,1,1))]. 10219 T(x * y,a(z,y,u)) = T(x,a(z,y,u)) * y. [hyper(10179,a,10104,a)]. 10220 L(x,y,K(z,u)) * (L(z,u,y) \ z) = (L(z,u,y) \ z) * x. [para(10126(a,2),10218(a,1,1))]. 10221 K(x,L(y,L(z,u,w),v5)) = K(x,L(y,z,L(v5,u,w))). [hyper(10105,a,10159,a)]. 10222 x * K(x,L(y,z,L(u,w,v5))) = T(x,L(y,L(z,w,v5),u)). [para(10221(a,1),1592(a,2,2)),flip(a)]. 10223 K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. [para(10221(a,1),10161(a,1))]. 10224 T(x,L(y,L(z,u,w),v5)) = T(x,L(y,z,L(v5,u,w))). [hyper(1607,a,10222,a),flip(a)]. 10225 T(x * a(y,x,K(z,u)),K(x,u)) = T(x * K(u,L(x,y,z)),u). [hyper(230,a,3456,a,b,10163,a),flip(a)]. 10226 T(x * a(y,x,K(z,u)),K(x,u)) = T(T(x,L(u \ x,y,z)),u). [para(6017(a,2),10225(a,2,1))]. 10227 T(x * a(y,x,K(z,u)),K(x,u)) = T(T(x,u),L(u \ x,y,z)). [hyper(230,a,18,a,b,10226,a),flip(a)]. 10228 T(T(x,a(y,z,u)),K(x,z)) = T(T(x,z),L(z \ x,y,u)). [para(10098(a,1),10227(a,1,1))]. 10229 T(T(x,y),L(y \ x,z,u)) = T(x,a(z,y,u)). [hyper(1927,a,10228,a),flip(a)]. 10231 L(T(x,y),z,u) \ T(x,y) = T(x,a(z,y,u)) * (L(x,z,u) \ 1). [para(10229(a,1),6053(a,1,1)),flip(a)]. 10232 T(x,y) * (a(z,u,K(y,x)) * K(z,u)) = y \ ((x * y) * K(z,u)). [hyper(57,a,8979,a(flip),b,10113,a)]. 10233 K(x,T(y,z)) * L(u,x,K(z,y)) = (z * K(x,y)) * (z \ u). [hyper(57,a,10144,a(flip),b,10118,a)]. 10234 T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (u * a(u,y,K(z,x))). [para(8573(a,1),10120(a,2,2))]. 10235 L(T(x,y \ (z \ u)),z,K(z \ u,y)) = T(x,(z * y) \ u). [hyper(10155,a,10145,a)]. 10236 L(T(x,y \ (z \ u)),y,K(z,u)) = T(x,(z * y) \ u). [hyper(10193,a,10235,a)]. 10237 L(T(x,(y \ 1) \ ((z * y) \ u)),y \ 1,K(z * y,u)) = T(x,L(z,y,y \ 1) \ u). [para(1098(a,1),10236(a,2,2,1))]. 10238 L(T(x,(L(y,z,u) \ 1) \ (y \ w)),L(y,z,u) \ 1,K(y,w)) = T(x,(L(y,z,u) \ y) \ w). [para(1383(a,1),10236(a,2,2,1))]. 10239 L(T(x,(y \ 1) \ (a(z,u,u \ 1) \ w)),y \ 1,K(a(z,u,u \ 1),w)) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). [para(5603(a,2),10236(a,2,2,1))]. 10240 L(x,y,z) * a(x \ 1,u,w) = a(x \ 1,u,w) * L(x,y,z). [para(4749(a,1),10154(a,1,1,1))]. 10241 (a(x \ 1,y,z) * L(x,u,w)) * (a(x \ 1,y,z) \ 1) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). [para(10240(a,1),1098(a,1,1))]. 10242 L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ T(x,a(z,y,u)). [hyper(230,a,5180,a(flip),b,10231,a),flip(a)]. 10243 T(x,y) \ (y \ ((x * y) * K(z,u))) = a(z,u,K(y,x)) * K(z,u). [hyper(101,a,10232,a)]. 10244 T(x,y) * (z * ((K(x,y) * z) \ u)) = x * L(u,y,K(z,x)). [para(7021(a,1),10234(a,2,2))]. 10245 T(x,y) * z != x * L(u,y,K(w,x)) | w * ((K(x,y) * w) \ u) = z. [para(10244(a,1),37(a,1)),flip(a)]. 10246 T(x,y) \ (y \ ((x * y) * K(z,u))) = K(z,L(u,y,x)). [hyper(230,a,10110,a(flip),b,10243,a),flip(a)]. 10247 L(a(x,y,z),u,x) * (x * u) = x * (a(x,y,z) * u). [hyper(230,a,10203,a(flip),b,10204,a),flip(a)]. 10248 a(x,y,z) * (x * u) = x * (a(x,y,z) * u). [para(6103(a,1),10247(a,1,1))]. 10250 ((x * a(x,y,z)) * u) / (x * (a(x,y,z) * u)) = a(a(x,y,z),x,u). [para(10248(a,1),5118(a,1,2))]. 10252 (x \ y) * K(z,y \ L(y,u,w)) = x \ (y * a(w,u,K(y,z))). [para(4727(a,1),10210(a,1,2,2)),flip(a)]. 10253 a(a(x,y,z),x,u) = a(x,a(x,y,z),u). [hyper(5120,a,10250,a),flip(a)]. 10255 L(L(x,y,z \ (y \ z)),z,K(y,(y \ z) \ z)) = L(x,y,z \ (z / y)). [hyper(10195,a,10149,a)]. 10256 T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(y,x,K(u,z)) \ u). [para(10107(a,1),10166(a,2,2,1))]. 10258 T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(z,x,K(u,y)) * u). [para(6705(a,1),10256(a,2,2))]. 10259 T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * T(u,a(z,x,y)). [para(4969(a,1),10258(a,2,2))]. 10260 T(x,y) * ((K(y,x) * z) * (z \ u)) = x * T(u,a(z,x,y)). [para(2129(a,1),10259(a,1,2,1))]. 10261 T(x,y) * ((K(y,x) * z) * (z \ u)) = x * L(u,y,K(z,x)). [para(10126(a,2),10260(a,2,2))]. 10262 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [hyper(10245,a,10261,a),flip(a)]. 10263 K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * ((1 \ w) * u)). [hyper(230,a,10064,a(flip),b,10169,a),flip(a)]. 10264 T(x,L(y,z,u)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. [para(614(a,1),10178(a,1,1,2,3))]. 10265 L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). [para(10264(a,1),6054(a,1,2)),flip(a)]. 10266 x * (L(x \ 1,y,z) * (x \ u)) = L(x \ 1,y,z) * u. [hyper(242,a,10265,a),flip(a)]. 10267 (x \ y) \ (T(y,x) * L(x \ 1,z,u)) = (L(x \ 1,z,u) * y) / (x \ y). [para(10266(a,1),9919(a,1,1)),flip(a)]. 10268 ((L(x,y,z) \ x) * u) \ ((L(x,y,z) \ x) * (u * x)) = x. [para(10220(a,1),10202(a,1,1))]. 10269 L(x,y,L(x,z,u) \ x) = x. [hyper(295,a,10268,a)]. 10270 L(x,y,L(L(x,z,u),w,v5) \ L(x,z,u)) = x. [hyper(118,a,10269,a)]. 10271 (L(x,y,z) \ x) * (u * T(x,(L(x,y,z) \ x) * u)) = x * ((L(x,y,z) \ x) * u). [para(10269(a,1),353(a,2,1))]. 10272 L(x,y,L(L(x,z,u) \ x,w,v5)) = x. [para(5902(a,1),10270(a,1,3))]. 10273 L(x,y,a(z,u,x)) = x. [para(1321(a,2),10272(a,1,3))]. 10274 L(x,y,a(z,u,L(x,w,v5))) = x. [hyper(118,a,10273,a)]. 10275 L(L(x,y,z),u,a(w,v5,x)) = L(x,y,z). [para(10273(a,1),25(a,1,1)),flip(a)]. 10276 (x \ 1) \ a(y,z,x) = x * a(y,z,x). [para(10273(a,1),2334(a,1,1)),flip(a)]. 10277 (x * y) * a(z,y,x) = x * (y * a(z,y,x)). [para(10273(a,1),7341(a,1,1)),flip(a)]. 10278 (a(x,y,z) * u) / L(z,w,v5) = a(x,y,z) * (u / L(z,w,v5)). [para(10275(a,1),326(a,1,2))]. 10279 L(x \ 1,x,a(y,z,x)) = x \ 1. [hyper(2431,a,10276,a)]. 10280 a(x,y,z) \ (z \ a(x,y,z)) = z \ 1. [hyper(57,a,3360,a,b,10279,a)]. 10282 a(x,y,z) * (z \ 1) != u | z \ a(x,y,z) = u. [para(10280(a,1),203(a,1,2))]. 10283 x * a(x,x,y) = R(x,x,y). [hyper(6619,a,10277,a),flip(a)]. 10284 L(x,y,z) * (y * a(z,y,L(x,y,z))) = x * y. [hyper(6243,a,10277,a),flip(a)]. 10285 x * ((y \ z) * a(y,y \ z,x)) = T(y \ (z * x),y \ z). [hyper(57,a,6227,a(flip),b,10277,a),flip(a)]. 10286 a(x,x \ 1,y) \ x = R(x,x,y). [hyper(57,a,6592,a,b,10283,a)]. 10287 x \ (a(x,x,y) \ 1) = R(x,x,y) \ 1. [para(10283(a,1),6112(a,1,1)),flip(a)]. 10288 a(x,x,y \ 1) \ x = R(x,x,y). [para(6584(a,1),10286(a,1,1))]. 10289 R(x \ 1,x \ 1,y) \ 1 = a(x \ 1,x \ 1,y) \ x. [hyper(6806,a,10287,a),flip(a)]. 10290 L(x \ 1,x,y) = R(x,x,y) \ 1. [hyper(57,a,6632,a(flip),b,10287,a)]. 10291 L(x \ 1,x \ 1,y) = L(x \ 1,x,y \ 1). [hyper(230,a,5751,a,b,10290,a)]. 10292 L(x,y,z) * L(L(x,y,z) \ 1,L(x,y,z),u \ 1) = L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z). [para(10291(a,1),4316(a,1,2))]. 10293 ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,L(z \ L(z,y,x),z,x * y))) = (z \ L(z,y,x)) * z. [para(3050(a,1),10284(a,1,1))]. 10294 a(x \ 1,x \ 1,y \ 1) \ x = (L(x,x,y) \ 1) \ 1. [para(5717(a,1),10289(a,1,1)),flip(a)]. 10295 a(x \ 1,x \ 1,y \ 1) \ x = L(x,x,y). [hyper(230,a,614,a(flip),b,10294,a),flip(a)]. 10296 a(x,x,y \ 1) \ x = L(x,x,y). [para(6640(a,1),10295(a,1,1))]. 10297 R(x,x,y) = L(x,x,y). [hyper(57,a,10288,a(flip),b,10296,a)]. 10298 L(x,x,y \ 1) = a(x,x,y) \ x. [para(614(a,1),10296(a,1,1,3)),flip(a)]. 10299 L(x,x,y \ x) = a(x,x,y) \ x. [para(6621(a,1),10296(a,1,1)),flip(a)]. 10300 x * a(x,x,y) = L(x,x,y). [hyper(57,a,10283,a,b,10297,a)]. 10301 L(L(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,x * L(x,z,u)). [para(10297(a,1),5266(a,1,1,1))]. 10302 ((x * y) * L(y,y,x)) \ (((x * y) * y) * x) = L(x,y,y). [para(10297(a,1),6307(a,1,1,2))]. 10303 L(x \ 1,x,y) = L(x,x,y) \ 1. [para(10297(a,1),10290(a,2,1))]. 10304 x \ L(x,x,y) = a(x,x,y). [hyper(101,a,10300,a)]. 10305 x \ L(x,x,y) != z | a(x,x,y) = z. [para(10300(a,1),241(a,1,2))]. 10306 (L(x,x,y) * z) / a(x,a(x,x,y),z) = x * (a(x,x,y) * z). [para(10300(a,1),150(a,1,1,1))]. 10307 T(x \ L(x,x,y),z) = a(x,x,y). [hyper(8600,a,10304,a)]. 10308 a(x,x,K(y,K(z,u)) * w) = x \ L(x,x,w). [hyper(230,a,9328,a,b,10304,a)]. 10310 x * a(x,x,y) != z | L(x,x,y) = z. [para(10304(a,1),203(a,1,2))]. 10311 T(T((L(x,x,y) * z) / (x * z),u),x) = R(T(a(x,x,y),u),x,z). [para(10304(a,1),486(a,2,1,1))]. 10312 x \ (L(y,y,z) * (y \ x)) = L(a(y,y,z),y,x). [para(10304(a,1),4672(a,1,1)),flip(a)]. 10313 L(a(x,x,y),x,L(x,x,y) \ z) \ z = T((z / L(x,x,y)) * x,z). [para(10304(a,1),4985(a,1,1,1))]. 10314 T(x * y,y \ a(x,x,z)) = T(x * y,L(x,x,z)). [para(10304(a,1),5128(a,1,2,2))]. 10315 L(x,x,y \ 1) = L(x,x,y \ x). [hyper(230,a,10298,a,b,10299,a)]. 10316 L(x \ 1,x,y) * L(L(x,x,y),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). [para(10303(a,2),659(a,1,1))]. 10317 L(x * L(x \ 1,x,y),L(x,x,y),y * x) = (y * (x * x)) \ ((y * x) * (x * 1)). [para(10303(a,2),1394(a,1,1,2))]. 10318 L(x \ 1,x,y) \ (z \ 1) = (z / L(x,x,y)) \ 1. [para(10303(a,2),5605(a,1,1))]. 10319 L(x,x,y \ 1) * z = L(x,x,y \ x) * z. [hyper(51,a,10315,a)]. 10320 a(x,x,K(y,K(z,u)) * w) != v5 | a(x,x,w) = v5. [para(10308(a,2),10305(a,1))]. 10321 L(x,x,(T(x,y) / z) \ 1) * u = L(x,x,z * K(y,x)) * u. [para(4940(a,1),10319(a,2,1,3))]. 10322 x \ (L(y,y,z) * (y \ x)) = a(y,y,L(z,y,x)). [hyper(230,a,7198,a,b,10312,a),flip(a)]. 10323 a(x,x,K(y,T(z,u)) * w) != v5 | a(x,x,w * K(y,z)) = v5. [para(6653(a,1),10320(a,1))]. 10324 x \ ((x / y) * L(y,y,z)) = a(y,y,L(z,y,x)). [para(4686(a,1),10322(a,1,2))]. 10325 T(x * y,y \ a(x,x,z)) = T(x * y,x). [hyper(230,a,4600,a(flip),b,10314,a),flip(a)]. 10327 T(x * y,y \ a(x,x,z)) = y * x. [hyper(230,a,589,a(flip),b,10325,a),flip(a)]. 10329 L((x / L(x,x,y)) \ 1,z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). [para(10318(a,1),5908(a,1,1,1))]. 10330 (x * (y * y)) \ (((x * y) * y) * x) = L(x,y,y). [para(81(a,1),10302(a,1,1))]. 10331 R(x,y,y) = L(x,y,y). [hyper(6221,a,10330,a)]. 10332 R(x,y,y) \ z = L(x,y,y) \ z. [hyper(55,a,10331,a)]. 10333 x * (((y * z) \ y) * a(y * z,(y * z) \ y,x)) = L(T(z \ x,(y * z) \ y),z,y). [hyper(230,a,300,a(flip),b,10285,a),flip(a)]. 10334 (L(x,x,y) * z) / u != x * (a(x,x,y) * z) | a(x,a(x,x,y),z) = u. [para(10306(a,1),39(a,1)),flip(a)]. 10335 L(x,x,(y \ T(x,z)) \ 1) * u = L(x,x,y * K(z,x)) * u. [para(7057(a,1),10321(a,1,1))]. 10336 T(T(x \ ((x / y) * L(y,y,z)),u),y) = R(T(a(y,y,z),u),y,x). [para(3159(a,1),10311(a,1,1,1))]. 10337 T(T(a(x,x,L(y,x,z)),u),x) = R(T(a(x,x,y),u),x,z). [para(10324(a,1),10336(a,1,1,1))]. 10338 T(a(x,x,L(y,x,z)),x) = R(T(a(x,x,y),u),x,z). [para(6735(a,1),10337(a,1,1))]. 10340 a(x,x,L(y,x,L(x,x,y) \ z)) \ z = T((z / L(x,x,y)) * x,z). [para(7198(a,2),10313(a,1,1))]. 10341 a(x,x,L(y,x,L(x,x,y) \ z)) \ z = x * (L(x,x,y) \ z). [hyper(230,a,9923,a(flip),b,10340,a),flip(a)]. 10342 L(a(x,y,(z * y) \ u) \ w,x,K(y,u \ z)) = w / (1 \ a(x,y,(z * y) \ u)). [para(3576(a,1),10208(a,1,3))]. 10343 L(L(x,y,z \ (y \ z)),z,K(y,T(y,z))) = L(x,y,z \ (z / y)). [para(693(a,2),10255(a,1,3,2))]. 10344 L(L(x,y,z \ (y \ z)),z,1) = L(x,y,z \ (z / y)). [para(167(a,1),10343(a,1,3))]. 10345 L(x,y,z \ (z / y)) = L(x,y,z \ (y \ z)). [hyper(1281,a,10344,a),flip(a)]. 10348 L(x,y,L(y \ 1,y,z)) = L(x,y,z \ (y \ z)). [para(2279(a,2),10345(a,1,3))]. 10349 L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). [para(10345(a,1),6386(a,1,1))]. 10350 K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * (w * u)). [para(59(a,1),10263(a,2,2,2,1))]. 10351 K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) / w) * (w * u)). [hyper(230,a,10009,a(flip),b,10350,a),flip(a)]. 10352 K(x,L(T(y,z) * u,z,y)) = K(x,(z \ y) * (z * u)). [hyper(230,a,1955,a(flip),b,10351,a),flip(a)]. 10353 K(x,((y * z) \ y) * ((y * z) * u)) = K(x,L(T(y,z) * u,y * z,y)). [para(712(a,1),10351(a,2,2,1)),flip(a)]. 10354 K(x,((y * z) \ y) * ((y * z) * u)) = K(x,L(T(y,z) * u,z,y)). [hyper(230,a,6891,a(flip),b,10353,a),flip(a)]. 10355 K(x,((y * z) \ y) * ((y * z) * u)) = K(x,(z \ y) * (z * u)). [hyper(230,a,10352,a(flip),b,10354,a),flip(a)]. 10356 K(x,y \ ((z * y) * u)) = K(x,(y \ z) * (y * u)). [hyper(57,a,10035,a(flip),b,10355,a)]. 10358 K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,y \ ((y * z) * (1 / u))). [para(4783(a,1),10356(a,1,2,2)),flip(a)]. 10359 K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,y \ ((y * z) / u)). [hyper(230,a,10023,a(flip),b,10358,a),flip(a)]. 10360 K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,(z / (y * u)) * y). [hyper(230,a,10039,a(flip),b,10359,a),flip(a)]. 10361 K(x,(y \ z) * (y * (u \ K(y,z)))) = K(x,(z / (y * u)) * y). [hyper(8038,a,10360,a)]. 10362 K(x,(y \ z) * (T(y,z) / u)) = K(x,(z / (y * u)) * y). [hyper(10028,a,10361,a)]. 10363 K(x,(y / (z * u)) * z) = K(x,(y / z) * (z / u)). [hyper(57,a,8769,a(flip),b,10362,a),flip(a)]. 10364 K(x,R(y * K(z,y),z,u) * z) = K(x,(((z * y) * u) / z) * (z / u)). [para(1668(a,2),10363(a,1,2,1))]. 10365 K(x,(((y * z) * u) / y) * (y / u)) = K(x,y * R(z,y,u)). [para(1645(a,1),10364(a,1,2)),flip(a)]. 10366 K(x,L(L((y * (z \ 1)) \ u,z,z \ 1),z,y)) = K(x,z * (y \ u)). [hyper(57,a,10167,a(flip),b,10172,a)]. 10367 K(x,L((y * (z \ 1)) \ u,z,y)) = K(x,z * (y \ u)). [hyper(57,a,4740,a(flip),b,10366,a)]. 10369 K(x,L(((y \ 1) * L((y \ 1) \ 1,z,u)) \ w,y,L((y \ 1) \ 1,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). [para(628(a,1),10367(a,1,2,1,1))]. 10370 K(x,L((y * (z * (u * ((z * u) \ 1)))) \ w,a(z,u,(z * u) \ 1),y)) = K(x,a(z,u,(z * u) \ 1) * (y \ w)). [para(5117(a,1),10367(a,1,2,1,1,2))]. 10371 L(a(x,y,K(z,u)),x * (w * K(v5,v6)),v7) = a(x,z,K(u,L(y,w,v7))). [hyper(230,a,7264,a(flip),b,10197,a),flip(a)]. 10372 a(x,y,K(z,L(u,x * (w * K(v5,v6)),v7))) = a(x,z,K(u,L(y,w,v7))). [hyper(57,a,5040,a,b,10371,a)]. 10373 a(x,y,K(z,L(u,x * w,v5))) = a(x,z,K(u,L(y,w,v5))). [para(147(a,1),10372(a,1,3,2,2,2))]. 10374 a(x,y,K(z,L(u,y,w))) = a(x,u,K(y,L(z,x,w))). [para(4628(a,1),10373(a,1,3)),flip(a)]. 10375 a(x,y,K(z,L(u,y,w))) != v5 | a(x,u,K(y,z)) = v5. [para(10374(a,2),6955(a,1))]. 10376 R(x,y,a(z,u,K(w,v5)) \ 1) \ 1 = L(x \ 1,a(z,u,w),K(y,v5)). [hyper(57,a,2599,a(flip),b,10199,a),flip(a)]. 10377 R(x,y,a(z,u,K(w,v5)) * 1) \ 1 = L(x \ 1,a(v5,u,w),K(y,z)). [para(6705(a,1),10376(a,1,1,3))]. 10378 L(x \ 1,a(y,z,u),K(w,v5)) = R(x,w,a(v5,z,K(u,y))) \ 1. [para(3(a,1),10377(a,1,1,3)),flip(a)]. 10379 L(x \ 1,a(y,z,u),K(w,v5)) = L(x,w,a(v5,z,K(u,y))) \ 1. [para(7070(a,1),10378(a,2,1))]. 10380 R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L((x \ 1) \ 1,a(w,z,u),K(v5,y)). [hyper(230,a,10379,a,b,10200,a),flip(a)]. 10381 T(x,T(y,z) \ L(T(y,z),u,w)) = T(x,(y * z) \ (L(y,u,w) * z)). [para(189(a,1),10212(a,1,2,2)),flip(a)]. 10382 T(x,(y * z) \ (L(y,u,w) * z)) = T(x,a(T(y,z),u,w)). [hyper(57,a,10216,a(flip),b,10381,a),flip(a)]. 10383 T(x,(y * z) \ (L(y,u,w) * z)) = T(x,a(y,u,w)). [hyper(230,a,8580,a(flip),b,10382,a),flip(a)]. 10385 (L(x \ 1,y,z) * u) / (x \ u) = (u / x) \ (u * L(x \ 1,y,z)). [hyper(57,a,3073,a(flip),b,10267,a),flip(a)]. 10386 x * T(y,x * L(x,z,u)) = T(y * x,L(x,z,u)). [hyper(5129,a,10301,a),flip(a)]. 10387 L(x \ 1,x,y) * L(L(x,x,y),z,u) != w | L(L(x,z,u) \ x,x,y) \ 1 = w. [para(10316(a,2),5910(a,1))]. 10388 R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L(x,a(w,z,u),K(v5,y)). [para(614(a,1),10380(a,2,1))]. 10389 R(x,a(y,z,u) \ 1,K(w,v5)) = L(x,a(v5,z,u),K(w,y)). [para(1782(a,1),10388(a,1,3))]. 10390 L(x,a(y,z,u) \ 1,K(w,v5)) = L(x,a(v5,z,u),K(w,y)). [hyper(7068,a,10389,a)]. 10391 L(x,a(y,z,u),K(w,v5)) = L(x,y,K(w,a(v5,z,u))). [hyper(10196,a,10390,a),flip(a)]. 10392 L(x,a(y,z,u),K(w,v5)) = L(x,y,a(w,z,K(u,v5))). [para(6690(a,2),10391(a,2,3))]. 10393 L(x,y,a(y,z,u)) * (y * a(y,z,u)) = (x * y) * a(y,z,u). [hyper(230,a,10136,a(flip),b,10201,a),flip(a)]. 10394 L(x,y,a(y,z,u)) * (x \ (y * a(y,z,u))) = x \ ((x * y) * a(y,z,u)). [para(10393(a,1),1377(a,1,2)),flip(a)]. 10395 ((x * a(x,y,z)) * L(u,x,a(x,y,z))) \ ((x * a(x,y,z)) * u) = (u * (x * a(x,y,z))) / ((u * x) * a(x,y,z)). [para(10393(a,1),9906(a,1,2)),flip(a)]. 10396 (a(x,y,z) * (T(x,a(x,y,z)) * u)) / u = u \ ((u * x) * a(x,y,z)). [hyper(57,a,5319,a(flip),b,10394,a)]. 10397 (a(x,y,z) * (x * u)) / u = u \ ((u * x) * a(x,y,z)). [para(1457(a,1),10396(a,1,1,2,1))]. 10398 K(((x * y) \ z) * (y * K(z,z * ((x * y) \ y))),u) = K(y * (z / (y * x)),u). [para(10008(a,1),10076(a,1,1,2,2))]. 10399 L((L(x,x,y) \ x) \ 1,z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). [para(706(a,1),10329(a,1,1,1,1))]. 10400 K(((x * y) \ z) * (y * K(z,z / T(x,y))),u) = K(y * (z / (y * x)),u). [para(10043(a,1),10398(a,1,1,2,2))]. 10401 K(((x * y) \ z) * (y * K(z,T(x,y) \ z)),u) = K(y * (z / (y * x)),u). [para(1685(a,1),10400(a,1,1,2,2))]. 10402 K(((x * y) \ z) * (y * K(z,T(x \ z,y))),u) = K(y * (z / (y * x)),u). [para(8068(a,2),10401(a,1,1,2,2))]. 10403 K(((x * y) \ z) * (K(z,x \ z) * y),u) = K(y * (z / (y * x)),u). [para(1979(a,1),10402(a,1,1,2))]. 10404 K(K(x,y) * (((x * z) \ y) * z),u) = K(z * (y / (z * x)),u). [hyper(57,a,8806,a(flip),b,10403,a)]. 10405 K(((x * y) \ T(z,x)) * y,u) = K(y * (z / (y * x)),u). [hyper(57,a,8799,a(flip),b,10404,a)]. 10406 K(((x * y) \ (z * x)) * y,u) = K(y * ((x * z) / (y * x)),u). [hyper(57,a,8884,a(flip),b,10405,a)]. 10407 x / (K(y * ((z * u) / (y * z)),w) * x) = K(w,((z * y) \ (u * z)) * y). [para(10406(a,1),2131(a,1,2,1))]. 10408 K(x,((y * z) \ (u * y)) * z) = K(x,z * ((y * u) / (z * y))). [hyper(2141,a,10407,a),flip(a)]. 10409 K(x,y * ((z * T(u,z)) / (y * z))) = K(x,((z * y) \ (z * u)) * y). [hyper(9818,a,10408,a),flip(a)]. 10410 K(x,((y * z) \ (y * u)) * z) = K(x,z * ((u * y) / (z * y))). [para(93(a,1),10409(a,1,2,2,1)),flip(a)]. 10411 K(x,y) * ((T(z,u) * w) * a(w,y,K(x,z))) = (T(T(z,K(y,x)),u) * K(x,y)) * w. [hyper(57,a,8539,a(flip),b,10116,a)]. 10413 K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,L(y,z,a(w,v5,u))). [hyper(230,a,10114,a(flip),b,10117,a),flip(a)]. 10414 K(x,L(y,z,a(u,w,w \ v5))) = K(x,L(y,z,a(w,v5,u))). [para(5116(a,1),10413(a,1,2,3))]. 10415 x \ (K(y,z) * ((T(x,u) * w) * a(y,z,K(x,w)))) = (K(z,y) * x) \ (T(x,u) * w). [para(8539(a,1),10164(a,1,2))]. 10417 (L(x,y,z) \ x) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ x) * u). [para(6051(a,1),10271(a,1,2,2))]. 10418 (L(x,y,z) \ x) * (u * T(x,u)) = x * ((L(x,y,z) \ x) * u). [para(1007(a,1),10417(a,1,2,2))]. 10419 (L(x,y,z) \ x) * (x * u) = x * ((L(x,y,z) \ x) * u). [para(93(a,1),10418(a,1,2))]. 10421 (x * (x * ((L(x,y,z) \ x) * u))) / (L(L(x,y,z) \ x,u,x) * (x * u)) = R(x,u,L(x,y,z) \ x). [para(10419(a,1),5188(a,2,1,2)),flip(a)]. 10422 a(x,x,L(y \ 1,L(x,x,y),y * x)) = (y * (x * x)) \ ((y * x) * (x * 1)). [hyper(7223,a,10317,a)]. 10423 (x * (y * y)) \ ((x * y) * (y * 1)) = a(y,y,x \ 1). [hyper(7196,a,10422,a),flip(a)]. 10424 (x * (y * y)) \ ((x * y) * y) = a(y,y,x \ 1). [para(3(a,1),10423(a,1,2,2))]. 10425 a(x,x,y \ 1) = a(y,x,x). [hyper(376,a,10424,a),flip(a)]. 10426 a(x,x,y \ 1) != z | a(y,x,x) = z. [para(10424(a,1),376(a,1))]. 10427 a(x,x,y \ x) = a(y,x,x). [hyper(7240,a,10425,a)]. 10428 a(x,y \ 1,y \ 1) = a(y,y,x \ 1). [hyper(6902,a,10425,a),flip(a)]. 10429 a(x,x,((x * y) \ z) \ 1) = a((y * x) \ z,x,x). [hyper(6809,a,10425,a)]. 10430 a(x \ y,y,y) = a(y,y,x). [hyper(6769,a,10425,a),flip(a)]. 10431 a(x,x \ 1,y) = a(y,x,x). [hyper(6630,a,10425,a)]. 10432 a(x \ T(y,z),T(y,z),y \ (y / x)) = a(x,y,y). [hyper(57,a,7359,a,b,10425,a)]. 10433 a(x,x,R(y \ 1,z,u)) = a(R(y,z,u),x,x). [hyper(57,a,7227,a,b,10425,a)]. 10434 a(x,x,L((y \ z) \ 1,x,y)) = a((y * x) \ z,x,x). [hyper(57,a,7195,a,b,10425,a)]. 10435 a(x,x,L(y \ 1,z,u)) = a(L(y,z,u),x,x). [hyper(57,a,7193,a,b,10425,a)]. 10436 L(x,y,y \ 1) \ x = a(x,y,y). [hyper(57,a,6606,a,b,10425,a)]. 10437 x * L(x \ 1,x,y) = a(y,x,x). [hyper(57,a,6605,a,b,10425,a)]. 10438 x * (y * ((x * y) \ 1)) = a(x,y,y). [hyper(57,a,6604,a,b,10425,a)]. 10439 a(x,x,y) \ 1 = a(y,x,x). [hyper(57,a,6615,a(flip),b,10425,a)]. 10440 a(x \ 1,y,y) = a(y,y,x). [hyper(57,a,3317,a(flip),b,10425,a),flip(a)]. 10441 L(x \ 1,x,y) = x \ a(y,x,x). [para(10425(a,1),6623(a,1,2)),flip(a)]. 10442 (x \ y) \ a(y,x,x) = (y \ 1) * x. [para(10425(a,1),6610(a,1,2))]. 10443 (x \ ((x \ 1) \ y)) \ a(y,x,x) = y \ 1. [para(10425(a,1),6612(a,1,2))]. 10444 (a(x,x,y) * z) \ 1 = (z \ 1) * a(y,x,x). [para(10425(a,1),6617(a,1,2)),flip(a)]. 10445 a(x,x,L(y \ 1,z,u)) = L(a(y,x,x),z,u). [para(10425(a,1),7192(a,2,1))]. 10446 a(x,y,y) \ y = L(y,y,x). [para(10425(a,1),10296(a,1,1))]. 10447 a(L(T(x,y),z,u),w,w) = a(w,w,L(x \ 1,z,u)). [hyper(57,a,7243,a(flip),b,10427,a),flip(a)]. 10448 L(x,x,y \ x) = x * a(y,x,x). [para(10427(a,1),10300(a,1,2)),flip(a)]. 10449 T(a(x,x,L(y \ x,x,z)),x) = R(T(a(y,x,x),u),x,z). [para(10427(a,1),10338(a,2,1,1))]. 10450 T(x,L(y,z,a(u,u,w))) = T(x,y). [para(10430(a,1),6912(a,1,2,3))]. 10451 a(x,y,y) \ 1 = a(y,y,x). [hyper(623,a,10439,a)]. 10452 a(x,y,y) != z \ 1 | a(y,y,x) = z. [para(10439(a,1),42(a,1))]. 10453 a(x,y,y) \ 1 != z | a(y,y,x) = z. [para(10439(a,1),618(a,1,1))]. 10454 K(x,a(y,z,z) \ u) != w | K(x,a(z,z,y) * u) = w. [para(10439(a,1),5003(a,1,2,1))]. 10455 (a(x,y,y) * z) \ 1 = (z \ 1) * a(y,y,x). [para(10439(a,1),5582(a,1,1,1))]. 10456 (x * a(y,z,z)) \ 1 = a(z,z,y) * (x \ 1). [para(10439(a,1),5596(a,1,1,2))]. 10457 L(a(x,x,y),z \ 1,u \ 1) = R(a(y,x,x),z,u) \ 1. [para(10439(a,1),5737(a,2,1,1))]. 10458 L(a(x,x,y),z,u) \ 1 = a(L(y,z,u),x,x). [para(7198(a,1),10439(a,1,1))]. 10459 R(a(x,x,y),z,u) \ 1 = a(R(y,z,u),x,x). [para(7225(a,1),10439(a,1,1))]. 10460 (a(x,x,y) * (L(a(y,x,x),z,u) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). [para(10439(a,1),9920(a,1,1,2,1,1))]. 10461 a(x,x,(y * z) \ ((y * (z * u)) / u)) = a(a(u \ 1,z \ 1,y \ 1),x,x). [para(5928(a,1),10440(a,1,1)),flip(a)]. 10462 L(x,x,y) \ x = a(y,x,x). [hyper(33,a,713,a,b,10446,a)]. 10463 L(L(T(x,y),T(x,y),z),a(z,T(x,y),T(x,y)),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). [para(10446(a,1),269(a,1,1))]. 10464 L(x,x,y) * a(y,x,x) = x. [para(10446(a,1),4886(a,1,1))]. 10465 T(x,L(x,x,y) \ z) = T(x,a(y,x,x) * z). [para(10446(a,1),6049(a,1,2,1))]. 10466 a(x,x,y) != z \ 1 | a(y,x,x) = z. [para(10451(a,1),42(a,1))]. 10468 a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = L(T(a(y,y,x),z),u,w) * (a(x,y,y) * v5). [para(10451(a,1),3060(a,1,1,1,1)),flip(a)]. 10469 (a(x,y,y) \ z) * (a(x,y,y) * R(a(y,y,x),u,w)) = z * R(z \ (a(x,y,y) \ z),u,w). [para(10451(a,1),5531(a,1,2,2,1))]. 10470 L(R(a(x,x,y),z,u) * a(y,x,x),w,v5) = a((z * u) \ (L(a(y,x,x),w,v5) \ (z * u)),z,u). [para(10451(a,1),6363(a,1,1,1,1))]. 10471 L(x,y,z) * (L(a(u,x,x),y,z) \ 1) = L(L(x,y,z),x,u). [para(10462(a,1),5907(a,1,2,1,1))]. 10472 L(x \ 1,y,z) \ L(u \ (u / x),y,z) = L(a(u,x,x) \ 1,y,z) \ 1. [para(10462(a,1),10399(a,1,1,1,1)),flip(a)]. 10473 T(x * y,L(T(L(x,x,z),a(z,x,x) * y),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). [para(10464(a,1),6869(a,1,1,1))]. 10474 L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). [para(10436(a,1),7215(a,2,1))]. 10475 a(L(x,y,z) \ u,x,x) = x * L(x \ 1,x,u). [para(3007(a,1),10437(a,1,2)),flip(a)]. 10476 x * L(x \ 1,x,y) != z | a(y,x,x) = z. [para(10441(a,2),203(a,1,2))]. 10477 (x \ a(y,x,x)) \ y = x * y. [para(10441(a,1),2430(a,1,1))]. 10478 (L(x,x,y \ x) * z) / (a(y,x,x) * z) = R(x,a(y,x,x),z). [para(10448(a,2),15(a,2,1,1)),flip(a)]. 10479 L(x,x,y \ x) * L(z,a(y,x,x),x) = x * (a(y,x,x) * z). [para(10448(a,2),81(a,1,1))]. 10480 T(x,(a(y,y,z) * u) \ w) = T(x,u \ (a(y,y,z) \ w)). [para(222(a,1),10450(a,1,2))]. 10481 a(x,x,K(y,z) * u) != w | a(u \ K(z,y),x,x) = w. [para(4787(a,1),10426(a,1,3))]. 10482 a(x,x,y \ L(y,z \ 1,u \ 1)) != w | a(y * R(y \ 1,z,u),x,x) = w. [para(5800(a,1),10426(a,1,3))]. 10483 a(x,x \ 1,y) != z | a(y,x,x) = z. [para(6584(a,2),10426(a,1))]. 10484 a(x,x,L(y \ 1,z,u)) != w | a(L(y,z,u),x,x) = w. [para(7193(a,2),10426(a,1))]. 10485 a(x,x,y \ x) != z | a(y,x,x) = z. [para(7236(a,1),10426(a,1))]. 10486 a((x * y) \ (a(z,u,u) \ (x * y)),x,y) = (z * (u * ((z * u) \ 1))) * R(a(z,u,(z * u) \ 1),x,y). [para(10438(a,1),6362(a,1,1,2,1))]. 10487 (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * a(z,z,L(y,u,w))) * a(y,z,z). [para(10438(a,1),8408(a,2,2))]. 10488 (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * L(a(y,z,z),u,w)) * a(y,z,(y * z) \ 1). [para(10438(a,1),5898(a,2,1,2,1))]. 10489 T((x * a(y,z,z)) * L(a(y,z,(y * z) \ 1),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). [para(10438(a,1),9914(a,1,1,1,2))]. 10490 a(x,y,y) \ (z \ z) != u | a(y,y,x) = u. [para(60(a,2),10453(a,1,2))]. 10493 a(x,y \ 1,y \ 1) = a(x,y,y). [hyper(230,a,10425,a(flip),b,10428,a),flip(a)]. 10494 a(x,y \ 1,y \ 1) != z | a(x,y,y) = z. [para(10428(a,2),10426(a,1))]. 10495 L(x,y,y) \ a(x,y,y) = x \ 1. [para(7213(a,1),10443(a,1,1))]. 10496 x \ L(x,y,y) = a(x,y,y). [hyper(1218,a,10495,a)]. 10497 x * L(x \ 1,y,y) = a(x \ 1,y,y). [hyper(992,a,10496,a)]. 10498 x * a(x,y,y) = L(x,y,y). [hyper(110,a,10496,a)]. 10499 x / L(T(a(y,z,z),u),y,L(y,z,T(z,u)) \ x) = (x / L(y,z,T(z,u))) * y. [para(10496(a,1),8598(a,1,2,1,1))]. 10500 L(T(x,a(x,y,y)),a(x,y,y),z) = (z * a(x,y,y)) \ (z * L(x,y,y)). [para(10498(a,1),186(a,1,2,2)),flip(a)]. 10501 ((a(x \ 1,y,y) \ 1) * x) * K(z,u) = L(x \ 1,y,y) \ K(z,u). [para(10498(a,1),5587(a,1,1)),flip(a)]. 10502 x * L(x \ 1,y,y) = a(y,y,x). [hyper(230,a,10440,a(flip),b,10497,a),flip(a)]. 10503 (x \ L(x,y,z)) * L(L(x,y,z) \ x,u,u) = a(u,u,x \ L(x,y,z)). [para(5428(a,1),10502(a,1,2,1))]. 10504 a(x,x,L(y \ 1,z,u \ 1)) = a(R(y,z \ 1,u),x,x). [hyper(57,a,7226,a(flip),b,10433,a)]. 10505 a(R(x * K(y,z),u,w),v5,v5) = a(v5,v5,R(K(z,y) / x,u,w)). [para(4778(a,1),10433(a,1,3,1)),flip(a)]. 10506 a(x,x,L(y \ x,z,u)) = a(L(y,z,u),x,x). [hyper(57,a,7232,a(flip),b,10435,a)]. 10507 a(L(x \ 1,y,z),u,u) = a(u,u,L(x,y,z)). [para(614(a,1),10435(a,1,3,1)),flip(a)]. 10508 a(L(K(x,y) / z,u,w),v5,v5) = a(v5,v5,L(z * K(y,x),u,w)). [para(4785(a,1),10435(a,1,3,1)),flip(a)]. 10509 (1 \ (a(x,x,y) * z)) * K(u,(z \ 1) * a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). [para(10444(a,1),2049(a,1,2,2))]. 10510 a(L(x,y,z),u,u) = L(a(x,u,u),y,z). [hyper(57,a,10435,a(flip),b,10445,a)]. 10511 (x * (a(y,z,z) * u)) / (x * u) = a(L(y,u,x),z,z). [hyper(230,a,5244,a,b,10510,a)]. 10512 (x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)). [para(10510(a,2),81(a,1,2))]. 10513 (x * y) * a(L(z,y,x),u,u) != w | x * (y * a(z,u,u)) = w. [para(10510(a,2),219(a,1,2))]. 10514 (x * y) * a(L(z,x,y),u,u) != w | y * (T(x,y) * a(z,u,u)) = w. [para(10510(a,2),2823(a,1,2))]. 10515 a(x,x,y) * ((L(a(x,x,y),z,u) \ 1) * w) = a(L(y,z,u),x,x) * (w * a(x,x,y)). [para(10458(a,1),6743(a,1,1)),flip(a)]. 10516 T(x,a(y,x,x) * z) = T(x,z). [hyper(1009,a,10465,a),flip(a)]. 10518 a(L(x * K(y,z),u,w),v5,v5) != v6 | a(v5,v5,L(x \ K(z,y),u,w)) = v6. [para(10506(a,1),7248(a,1))]. 10519 a(L(x,y,L(y,y,x \ y) \ z),y,y) \ z = y * (L(y,y,x \ y) \ z). [para(10506(a,1),10341(a,1,1))]. 10520 a(L(x,y,z) \ u,x,x) = a(u,x,x). [hyper(230,a,10437,a(flip),b,10475,a),flip(a)]. 10521 a(L(x,y,z) \ u,x,x) != w | a(u,x,x) = w. [para(10475(a,2),10476(a,1))]. 10522 a((x * y) \ z,y,y) != u | a((y * x) \ z,y,y) = u. [para(10429(a,1),10426(a,1))]. 10523 a(T(x,y),T(x,y),T(x,y) / z) = a(z,x,x). [hyper(7313,a,10432,a)]. 10524 a(T(x,y),T(x,y),z \ T(x,y)) = a(z,x,x). [hyper(6761,a,10523,a)]. 10525 a(x,T(y,z),T(y,z)) = a(x,y,y). [hyper(10485,a,10524,a)]. 10526 a(L(x \ y,z,x),z,z) = a((x * z) \ y,z,z). [hyper(57,a,10435,a(flip),b,10434,a)]. 10527 a(x,x,L(y,z,u)) != w | a(L(y \ 1,z,u),x,x) = w. [para(614(a,1),10484(a,1,3,1))]. 10528 L(a(x,y,y),z,u) != w | a(L(x,z,u),y,y) = w. [para(10445(a,1),10484(a,1))]. 10529 a(L(T(x,y),z,u),w,w) != v5 | a(L(x,z,u),w,w) = v5. [para(10447(a,2),10484(a,1))]. 10530 (a(L(x,y,z),u,u) * z) * y = z * (R(a(x,u,u),z,y) * y). [para(10511(a,1),6301(a,1,1,1))]. 10531 (x * y) * z != x * (y * a(u,w,w)) | a(L(u,y,x),w,w) = z. [para(10512(a,1),37(a,1)),flip(a)]. 10532 a(L(x / y,z,u),w,w) != v5 | a(L(y \ x,z,u),w,w) = v5. [para(742(a,1),10529(a,1,1,1))]. 10533 T(a(L(x,y,z),y,y),y) = R(T(a(x,y,y),u),y,z). [para(10506(a,1),10449(a,1,1))]. 10534 a(L(x,y,z),y,y) = R(a(x,y,y),y,z). [hyper(115,a,10533,a),flip(a)]. 10535 a(x,x,L(y,z \ 1,u \ 1)) = R(a(y,x,x),z,u) \ 1. [hyper(7200,a,10457,a)]. 10536 T(x,(y * a(z,z,u)) \ w) = T(x,y \ (a(z,z,u) \ w)). [hyper(8726,a,10480,a)]. 10537 a(R(x,y \ 1,z),u,u) != w | a(L(x,y,z \ 1),u,u) = w. [para(10504(a,1),10484(a,1))]. 10538 R(a(x,y,y),z,u) \ 1 = a(y,y,R(x,z,u)). [hyper(57,a,7224,a(flip),b,10535,a),flip(a)]. 10539 a(R(x,y,z),u,u) = R(a(x,u,u),y,z). [hyper(33,a,10451,a,b,10538,a)]. 10540 (x * y) * a(R(z,y,x),u,u) = (y * a(z,u,u)) * T(x,y). [para(10539(a,2),6325(a,1,2))]. 10541 (x * y) * a(R(z,x,y),u,u) = (x * a(z,u,u)) * y. [para(10539(a,2),7285(a,1,2))]. 10542 x \ T(x,y \ (a(z,z,u) \ w)) = K(x,(y * a(z,z,u)) \ w). [para(10536(a,1),1589(a,2,2)),flip(a)]. 10543 L(x,y,z) * (a(L(u,y,z),x,x) \ 1) = L(L(x,y,z),x,u). [para(10510(a,2),10471(a,1,2,1))]. 10544 L(x,y,z) * a(x,x,L(u,y,z)) = L(L(x,y,z),x,u). [para(10451(a,1),10543(a,1,2))]. 10545 a(R(x * K(y,z),u,w),v5,v5) = a(v5,v5,R(x \ K(z,y),u,w)). [hyper(230,a,6595,a(flip),b,10505,a),flip(a)]. 10546 a(L(K(x,y * z) / z,y,x),u,u) = a(u,u,(x * y) \ ((y * z) * x)). [para(4844(a,1),10508(a,2,3))]. 10547 a(x,x,L(y * K(z,u),w,v5)) != v6 | a(L(y \ K(u,z),w,v5),x,x) = v6. [para(10508(a,1),10532(a,1))]. 10548 K(x,(y * a(z,z,u)) \ w) != v5 | K(x,y \ (a(z,z,u) \ w)) = v5. [para(10542(a,1),1634(a,1))]. 10549 ((a(x,x,y) \ 1) * y) * K(z,u) = L(y \ 1,x,x) \ K(z,u). [para(10440(a,1),10501(a,1,1,1,1))]. 10550 L(x \ 1,y,y) \ K(z,u) = (a(x,y,y) * x) * K(z,u). [para(10439(a,1),10549(a,1,1,1)),flip(a)]. 10551 L(x \ 1,y,y) \ K(z,u) = (x * a(x,y,y)) * K(z,u). [para(1458(a,1),10550(a,2,1))]. 10552 L(x \ 1,y,y) \ K(z,u) = L(x,y,y) * K(z,u). [para(10498(a,1),10551(a,2,1))]. 10553 L(x \ 1,y,y) = L(x,y,y) \ 1. [hyper(4750,a,10552,a),flip(a)]. 10554 L(x \ 1,y,y) = R(x,y,y) \ 1. [hyper(230,a,10332,a,b,10553,a),flip(a)]. 10555 (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = L((x \ L(x,y,z)) \ 1,u,u) * (x \ L(x,y,z)). [para(10553(a,2),5667(a,2,1))]. 10556 L(x \ 1,y,y) \ a(y,y,x) = x. [para(10553(a,2),7219(a,1,1))]. 10557 (x * a(y,z,z)) \ (x * L(y,z,z)) = L(y,a(y,z,z),x). [para(1457(a,1),10500(a,1,1)),flip(a)]. 10558 L(L(x,y,z) \ x,u,u) * (x \ L(x,y,z)) = a(u,u,x \ L(x,y,z)). [hyper(2057,a,10503,a)]. 10559 a(L(x \ K(y,x * z),z,y),u,u) = a(u,u,(y * z) \ ((z * x) * y)). [para(3915(a,1),10546(a,1,1,1))]. 10560 L(x \ 1,y,z) \ L(u \ (u / x),y,z) = L(a(x,x,u),y,z) \ 1. [para(10451(a,1),10472(a,2,1,1))]. 10561 L(x \ 1,y,z) \ L(u \ (u / x),y,z) = a(L(u,y,z),x,x). [hyper(230,a,10458,a(flip),b,10560,a),flip(a)]. 10562 a(x,L(x \ 1,y,z),u) = a(L(u,y,z),x,x). [hyper(57,a,6414,a(flip),b,10561,a)]. 10563 a(L(x,y,z),u \ 1,u \ 1) = a(u \ 1,L(u,y,z),x). [para(614(a,1),10562(a,1,2,1)),flip(a)]. 10564 a(x \ 1,L(x,y,z),u) = a(L(u,y,z),x,x). [hyper(10494,a,10563,a),flip(a)]. 10565 a(x \ 1,L(x,y,z),u) != w | a(L(u,y,z),x,x) = w. [para(10563(a,1),10494(a,1))]. 10566 a(L(x,y,z),x \ 1,u) = a(L(u,y,z),x,x). [hyper(57,a,6349,a,b,10564,a)]. 10567 x / L(a(y,z,z),y,L(y,z,T(z,u)) \ x) = (x / L(y,z,T(z,u))) * y. [para(4881(a,1),10499(a,1,2,1))]. 10569 x / L(a(y,z,z),y,L(y,z,z) \ x) = (x / L(y,z,T(z,u))) * y. [para(7047(a,1),10567(a,1,2,3,1))]. 10571 x / a(L(y,y,L(y,z,z) \ x),z,z) = (x / L(y,z,T(z,u))) * y. [para(10510(a,2),10569(a,1,2))]. 10572 a(L(x,x,L(x,y,y) \ z),y,y) \ z = (z / L(x,y,T(y,u))) * x. [hyper(4888,a,10571,a)]. 10573 a(L(x,x,L(x,y,y) \ z),y,y) \ z = (z / L(x,y,y)) * x. [para(92(a,1),10572(a,2,1,2,3))]. 10574 a(L(x,x,L(x,y,y) \ z),y,y) \ z = x * (L(x,y,y) \ z). [hyper(230,a,9926,a(flip),b,10573,a),flip(a)]. 10575 L(a(x,y,(x * y) \ z) \ u,y,K(x,z)) = u / (1 \ a(x,y,(x * y) \ z)). [hyper(10192,a,10342,a)]. 10576 L(a(x,y,(x * y) \ z) \ u,y,K(x,z)) = u / a(x,y,(x * y) \ z). [para(59(a,1),10575(a,2,2))]. 10577 L(a(x / L(y,z,u),y,L(y,z,u)) \ w,y,K(x / L(y,z,u),x * y)) = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). [para(1357(a,1),10576(a,1,1,1,3))]. 10578 L(a(x * y,z,a(z,x,y)) \ u,z,K(x * y,T((z * x) * y,z))) = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). [para(6560(a,2),10576(a,1,1,1,3))]. 10579 K(x,y) * (T(z,u) * T(w,a(z,y,x))) = (T(T(z,K(y,x)),u) * K(x,y)) * w. [para(6719(a,1),10411(a,1,2))]. 10580 K(x,y) * (T(z,u) * T(w,a(z,y,x))) = (K(x,y) * T(z,u)) * w. [para(1793(a,1),10579(a,2,1))]. 10581 x \ (K(y,z) * (T(x,u) * T(w,a(x,z,y)))) = (K(z,y) * x) \ (T(x,u) * w). [para(6718(a,1),10415(a,1,2,2))]. 10582 (K(x,y) * z) \ (T(z,u) * w) = z \ ((K(y,x) * T(z,u)) * w). [para(10580(a,1),10581(a,1,2)),flip(a)]. 10583 L(K(x,y) * z,K(y,x),K(y,x) * u) = u \ ((K(x,y) * T(u,K(x,y))) * z). [hyper(57,a,9695,a,b,10582,a)]. 10584 L(K(x,y) * z,K(y,x),K(y,x) * u) = u \ ((u * K(x,y)) * z). [para(93(a,1),10583(a,2,2,1))]. 10585 (a(x,x,y) * z) * K(u,(z \ 1) * a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). [para(59(a,1),10509(a,1,1))]. 10586 (a(x,x,y) * z) * K(u,z \ a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). [para(4742(a,1),10585(a,1,2))]. 10587 a(x,x,y) * (z * K(u,z \ a(y,x,x))) = T(1 \ (a(x,x,y) * z),u). [hyper(57,a,6752,a(flip),b,10586,a)]. 10588 a(x,x,y) * (z * K(u,z \ a(y,x,x))) = T(a(x,x,y) * z,u). [para(59(a,1),10587(a,2,1))]. 10589 (x * K(y,x \ a(z,u,u))) * a(u,u,z) = T(a(u,u,z) * x,y). [hyper(6745,a,10588,a)]. 10590 L(x * R(x \ 1,y,z),u,K(w,v5)) = a(L((y * z) \ (x \ (y * z)),w,K(v5,u)),y,z). [para(7247(a,2),10129(a,2,1))]. 10591 L(T(x,y * ((z * y) \ u)),y \ 1,K(z * y,u)) = T(x,L(z,y,y \ 1) \ u). [para(4818(a,1),10237(a,1,1))]. 10592 L(T(x,y * ((z * y) \ u)),u,K(z * y,y)) = T(x,L(z,y,y \ 1) \ u). [hyper(10196,a,10591,a)]. 10593 L(T(x,y * ((z * y) \ u)),u,K(z,y)) = T(x,L(z,y,y \ 1) \ u). [para(1806(a,1),10592(a,1,3))]. 10594 L(T(x,y * (((y \ z) * y) \ u)),u,K(y \ z,y)) = T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u). [para(83(a,1),10593(a,2,2,1))]. 10595 x * ((y \ (y / z)) * a(y * z,(y * z) \ y,x)) = L(T(z \ x,(y * z) \ y),z,y). [para(2280(a,1),10333(a,1,2,1))]. 10596 a(L(x,y,z),u,u) * (w * a(u,u,x)) = a(u,u,x) * (a(L(x,y,z),u,u) * w). [para(10458(a,1),10515(a,1,2,1)),flip(a)]. 10597 x * ((y \ (y / z)) * a(y * z,y \ (y / z),x)) = L(T(z \ x,(y * z) \ y),z,y). [para(2280(a,1),10595(a,1,2,2,2))]. 10598 x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(T(z \ x,(y * z) \ y),z,y). [para(6212(a,1),10597(a,1,2,2))]. 10599 x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(T(z \ x,z \ 1),z,y). [para(2073(a,1),10598(a,2,1))]. 10600 x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(x / z,z,y). [para(1026(a,1),10599(a,2,1))]. 10602 K(x,y * (L(y \ L(y,z,u),y,w) / L(y,z,u))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). [hyper(57,a,8781,a(flip),b,10033,a)]. 10603 x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,x / a(u,w,w \ 1))). [para(4819(a,1),10153(a,2,2,2))]. 10604 x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,a(u,w,w \ 1) \ x)). [para(7484(a,1),10603(a,2,2))]. 10605 x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = K(y,T(z,a(u,w,w \ 1) \ x)). [hyper(230,a,2,a(flip),b,10604,a),flip(a)]. 10606 K(x,T(y,a(z,u,u \ 1) \ w)) = w \ (K(x,y) * w). [para(10150(a,1),10605(a,1,2)),flip(a)]. 10607 K(x,T(y,a(z,u,u \ 1) \ w)) = T(K(x,y),w). [hyper(230,a,17,a,b,10606,a),flip(a)]. 10609 K(x,T(y,a(z,u,u \ 1) \ w)) = K(x,T(y,w)). [hyper(230,a,1974,a,b,10607,a),flip(a)]. 10610 K(x,T(y,z * a(u,w,w \ 1))) = K(x,T(y,z)). [hyper(7586,a,10609,a)]. 10611 K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,u \ z)). [hyper(57,a,8648,a(flip),b,10610,a)]. 10613 K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,z * u)). [hyper(230,a,7413,a(flip),b,10611,a),flip(a)]. 10614 K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * u)). [hyper(57,a,8999,a(flip),b,10613,a)]. 10616 K(x * K(y \ (z \ x),z),T(u,x * y)) = K(((y * z) \ x) * (z * y),u). [hyper(57,a,8400,a(flip),b,10614,a),flip(a)]. 10617 K(x * K(y \ (z \ x),z),T(u,y)) = K(((y * z) \ x) * (z * y),u). [hyper(7873,a,10616,a)]. 10619 K(((x * y) \ z) * (y * x),u) = K(z * K(x \ z,y),T(u,x)). [hyper(57,a,3682,a(flip),b,10617,a),flip(a)]. 10620 K(((x * y) \ z) * (y * x),u) = K(x * T(z / x,y),u). [hyper(230,a,3929,a(flip),b,10619,a),flip(a)]. 10621 K(x * K(y,z),T(u,z * y)) = K(z * T(x / z,y),u). [hyper(57,a,7934,a(flip),b,10620,a)]. 10622 K((x * y) * K(z,y),T(u,y * z)) = K(y * T(x,z),u). [para(6(a,1),10621(a,2,1,2,1))]. 10623 K(x * T(y,z),T(u,y * z)) = K(y * T(x,z),u). [hyper(57,a,7154,a(flip),b,10622,a)]. 10624 K(x * T(y,z \ 1),u) = K(x * T(y,z),u). [hyper(57,a,9139,a(flip),b,10623,a)]. 10625 K((x * (y \ 1)) * T(z,y),T(u,x)) = K(z * ((y \ 1) * x),u). [hyper(57,a,8389,a(flip),b,10624,a),flip(a)]. 10626 K((x * (y \ 1)) * T(L(z,y \ 1,x),y),T(u,x)) = K((z * (y \ 1)) * x,u). [hyper(230,a,9010,a(flip),b,10625,a),flip(a)]. 10627 K(x * ((y \ 1) * T(z,y)),T(u,x)) = K((z * (y \ 1)) * x,u). [para(289(a,1),10626(a,1,1))]. 10628 K(((x \ 1) * T(y,x)) * z,u) = K((y * (x \ 1)) * z,u). [hyper(5358,a,10627,a)]. 10629 K(x,((y \ 1) * T(z,y)) * u) = w / (K((z * (y \ 1)) * u,x) * w). [para(10628(a,1),2131(a,1,2,1)),flip(a)]. 10630 K(x,((y \ 1) * T(z,y)) * u) = K(x,(z * (y \ 1)) * u). [hyper(230,a,2131,a(flip),b,10629,a),flip(a)]. 10631 K(x,(T(y \ 1,z) * T(u,y * K(z,y \ 1))) * w) = K(x,(u * ((y * K(z,y \ 1)) \ 1)) * w). [para(2393(a,1),10630(a,1,2,1,1))]. 10632 L(T(x,L(y,z,u) * (y \ w)),L(y,z,u) \ 1,K(y,w)) = T(x,(L(y,z,u) \ y) \ w). [para(4818(a,1),10238(a,1,1))]. 10633 L(T(x,L(y,z,u) * (y \ w)),w,K(y,L(y,z,u))) = T(x,(L(y,z,u) \ y) \ w). [hyper(10196,a,10632,a)]. 10634 L(T(x,L(y,z,u) * (y \ w)),w,1) = T(x,(L(y,z,u) \ y) \ w). [para(174(a,1),10633(a,1,3))]. 10635 T(x,(L(y,z,u) \ y) \ w) = T(x,L(y,z,u) * (y \ w)). [hyper(1281,a,10634,a),flip(a)]. 10638 T(x,(y \ L(y,z,u)) * w) = T(x,L(y,z,u) * (y \ w)). [hyper(57,a,5432,a(flip),b,10635,a)]. 10639 L(L(T(x,y),x,z),a(z,T(x,y),T(x,y)),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). [para(5292(a,1),10463(a,1,1))]. 10640 L(L(T(x,y),x,z),a(z,x,x),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). [para(10525(a,1),10639(a,1,2))]. 10641 L(L(T(x,y),x,z),a(z,x,x),y) = (y * a(z,x,x)) \ (x * y). [para(10525(a,1),10640(a,2,1,2))]. 10644 (a(x,y,y) \ z) * (a(x,y,y) * a(y,y,R(x,u,w))) = z * R(z \ (a(x,y,y) \ z),u,w). [para(7225(a,2),10469(a,1,2,2))]. 10645 K(x,y * (L(y,z,u) \ L(L(y,z,u) / y,y,w))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). [para(870(a,1),10602(a,1,2,2))]. 10646 K(x,y * (L(y,z,u) \ L(y \ L(y,z,u),y,w))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). [para(710(a,1),10645(a,1,2,2,2,1))]. 10647 K(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) * w) = K(x,a(u \ 1,z,y) * w). [hyper(230,a,4743,a(flip),b,10036,a),flip(a)]. 10648 K(x,a(y \ 1,z \ 1,u) * w) = K(x,a(u \ 1,z,y) * w). [para(5594(a,1),10647(a,1,2,1))]. 10649 K(x \ 1,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,a((z \ 1) \ 1,u,w) * y). [hyper(6371,a,10648,a)]. 10650 K(x \ 1,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,a(z,u,w) * y). [para(614(a,1),10649(a,2,2,1,1))]. 10651 L(T(x,y * (T(z,y) \ u)),u,K(y \ z,y)) = T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u). [para(649(a,2),10594(a,1,1,2,2,1))]. 10652 T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u) = L(T(x,y * (T(z,y) \ u)),u,K(z,y)). [hyper(10186,a,10651,a),flip(a)]. 10653 L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,(1 \ ((y \ 1) * z)) \ u). [para(590(a,1),10652(a,1,2,1,1)),flip(a)]. 10654 L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,((y \ 1) * z) \ u). [para(59(a,1),10653(a,2,2,1))]. 10656 L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,((z \ 1) * y) * u). [hyper(230,a,5589,a(flip),b,10654,a),flip(a)]. 10657 a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = L(a(y,y,x),u,w) * (a(x,y,y) * v5). [para(6735(a,1),10468(a,2,1,1))]. 10659 a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = a(y,y,L(x,u,w)) * (a(x,y,y) * v5). [para(7198(a,2),10657(a,2,1))]. 10660 a(x,y,y) * (L(T(a(y,y,x),z),u,w) * v5) = a(y,y,L(x,u,w)) * (a(x,y,y) * v5). [para(10451(a,1),10659(a,1,2,1,1,1))]. 10661 a(x,x,L(y,z,u)) * (a(y,x,x) * w) = a(y,x,x) * (L(a(x,x,y),z,u) * w). [para(92(a,1),10660(a,1,2,1,1)),flip(a)]. 10662 a(x,x,L(y,z,u)) * (a(y,x,x) * w) = a(y,x,x) * (a(x,x,L(y,z,u)) * w). [para(7198(a,2),10661(a,2,2,1))]. 10663 a(x,x,L(y,z,u)) * (w * a(y,x,x)) = a(y,x,x) * (a(x,x,L(y,z,u)) * w). [hyper(57,a,4893,a(flip),b,10662,a)]. 10664 K(x,(T(y \ 1,z) * T(u,K(y,z) * y)) * w) = K(x,(u * ((y * K(z,y \ 1)) \ 1)) * w). [para(7546(a,1),10631(a,1,2,1,2))]. 10665 K(x,(y * ((z * K(u,z \ 1)) \ 1)) * w) = K(x,(T(z \ 1,u) * T(y,z)) * w). [hyper(57,a,9410,a(flip),b,10664,a),flip(a)]. 10667 K(x,(T(y \ 1,z) * T(u,y)) * w) = K(x,(u * T(y \ 1,z)) * w). [para(2393(a,1),10665(a,1,2,1,2)),flip(a)]. 10668 K(x,(T(y \ 1,z) * T(u,y)) / w) = K(x,(u * T(y \ 1,z)) * (K(v5,v6) * (w \ K(v6,v6 * v5)))). [hyper(8818,a,10667,a)]. 10669 K(x,(T(y \ 1,z) * T(u,y)) / w) = K(x,(u * T(y \ 1,z)) / w). [hyper(230,a,8817,a(flip),b,10668,a),flip(a)]. 10670 K(x,(T(y \ 1,z) * T(u * w,y)) / (w * T(y \ 1,z))) = K(x,R(u,w,T(y \ 1,z))). [para(15(a,2),10669(a,2,2))]. 10671 K(x,R(y,z,T(u \ 1,w))) = K(x,((u \ 1) * T(y * z,u)) / (z * (u \ 1))). [hyper(57,a,9264,a(flip),b,10670,a),flip(a)]. 10673 K(x,R(y,z,T(u \ 1,w))) = K(x,(u \ T(y * z,u)) / (z / u)). [hyper(230,a,9718,a(flip),b,10671,a),flip(a)]. 10674 K(x,R(y,z,T(u \ 1,w))) = K(x,((y * z) / u) / (z / u)). [hyper(230,a,8112,a(flip),b,10673,a),flip(a)]. 10675 K(x,((y * z) / u) / (z / u)) = K(x,L(y,z,u \ 1)). [hyper(57,a,8540,a(flip),b,10674,a),flip(a)]. 10676 K(x,((y * z) / u) * (u / z)) = K(x,L(y,z,u \ 1)). [hyper(57,a,10048,a(flip),b,10675,a)]. 10677 K(x,((y * z) / u) * (u / z)) = K(x,L(y,u,z)). [hyper(230,a,10167,a(flip),b,10676,a),flip(a)]. 10678 K(x,L(y * z,y,u)) = K(x,y * R(z,y,u)). [hyper(57,a,10365,a(flip),b,10677,a),flip(a)]. 10679 K(x,L(y * (z / y),y,u)) = K(x,y * ((z * u) / (y * u))). [para(90(a,1),10678(a,2,2,2))]. 10680 K(x,y * ((z * u) / (y * u))) = K(x,L(T(z,y),y,u)). [hyper(57,a,4011,a(flip),b,10679,a),flip(a)]. 10681 K(x,((y * z) \ (y * u)) * z) = K(x,L(T(u,z),z,y)). [hyper(57,a,10410,a,b,10680,a)]. 10682 L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z) = a(u \ 1,L(x,y,z),L(x,y,z)). [hyper(10476,a,10292,a),flip(a)]. 10683 L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z) = a(L(x,y,z),L(x,y,z),u). [hyper(230,a,10440,a(flip),b,10682,a),flip(a)]. 10684 (x * (x * ((L(x,y,z) \ x) * u))) / ((L(x,y,z) \ x) * (x * u)) = R(x,u,L(x,y,z) \ x). [para(5912(a,1),10421(a,1,2,1))]. 10686 (x * (x * ((L(x,y,z) \ x) * u))) / (x * ((L(x,y,z) \ x) * u)) = R(x,u,L(x,y,z) \ x). [para(10419(a,1),10684(a,1,2))]. 10687 R(x,y,L(x,z,u) \ x) = x. [hyper(235,a,10686,a),flip(a)]. 10689 R(x,y,L(L(x,z,u),w,v5) \ L(x,z,u)) = x. [hyper(117,a,10687,a)]. 10690 R(x,y,L(L(x,z,u) \ x,w,v5)) = x. [para(5902(a,1),10689(a,1,3))]. 10691 R(x,y,a(z,u,x)) = x. [para(1321(a,2),10690(a,1,3))]. 10692 (x * y) * a(z,u,x) = x * (y * a(z,u,x)). [para(10691(a,1),89(a,1,1)),flip(a)]. 10693 x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x). [para(10691(a,1),322(a,1,1))]. 10694 a(L(x,y,z),z,z) = a(x,z,z). [hyper(10531,a,10692,a)]. 10695 L(a(x,y,z),u,z) = a(x,y,z). [hyper(292,a,10692,a)]. 10696 T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = K(a(x,y,z),u) * (z * (w * a(x,y,z))). [para(10692(a,1),3598(a,2,2))]. 10697 L(x * K(y * x,a(z,u,y)),y,a(z,u,y)) = (a(z,u,y) * y) \ (y * (x * a(z,u,y))). [para(10692(a,1),4844(a,2,2))]. 10698 a(x \ (y * (x * ((y * x) \ (x * z)))),y,y) = a(y \ z,y,y). [hyper(57,a,6678,a,b,10694,a)]. 10699 a((x * y) \ (x * z),x,x) = a(y \ z,x,x). [para(83(a,1),10694(a,1,1))]. 10700 x * (R(a(y,x,x),x,z) * z) = (a(y,x,x) * x) * z. [para(10694(a,1),10530(a,1,1,1)),flip(a)]. 10702 L(a(x,y,z),u,z) * w = a(x,y,K(z,w)) * (w * a(x,y,z)). [para(10695(a,2),4872(a,2,1)),flip(a)]. 10703 a((x \ y) * a(z,u,x),w,x) = a(y * a(z,u,x),w,x). [para(10693(a,1),6674(a,1,1))]. 10704 x * (R(a(y,x,x),x,z) * z) = (x * a(y,x,x)) * z. [para(3356(a,1),10700(a,2,1))]. 10705 x * (R(a(y,x,x),x,z) * z) = L(x,x,y \ x) * z. [para(10448(a,2),10704(a,2,1))]. 10706 x * (a(L(y,x,z),x,x) * z) = L(x,x,y \ x) * z. [para(10534(a,2),10705(a,1,2,1))]. 10707 a(x \ (y * (x * ((y * x) \ (x * z)))),y,y) = a(z,y,y). [hyper(230,a,6674,a(flip),b,10698,a),flip(a)]. 10708 a((x \ 1) \ ((y \ 1) * ((x \ 1) * (((x * y) \ 1) \ ((x \ 1) * z)))),y \ 1,y \ 1) = a(z,y \ 1,y \ 1). [para(5585(a,1),10707(a,1,1,2,2,2,1))]. 10709 L(a(x,y,z),u,z) * (z * w) = a(x,y,K(z,w)) * ((z * w) * a(x,y,z)). [para(1647(a,1),10702(a,2,1,3))]. 10710 L(a(x,y,z),u,z) * (z * w) = a(x,y,K(z,w)) * (z * (w * a(x,y,z))). [para(10692(a,1),10709(a,2,2))]. 10711 L(a(x,y,z),u,z) * (z * w) = L(z,w,K(x,y)) * (w * a(x,y,z)). [hyper(230,a,10138,a(flip),b,10710,a),flip(a)]. 10712 T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = a(x,y,K(z,u)) * (z * (w * a(x,y,z))). [para(4865(a,2),10696(a,2,1))]. 10713 T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = L(z,u,K(x,y)) * (w * a(x,y,z)). [hyper(230,a,10138,a(flip),b,10712,a),flip(a)]. 10714 L(x * a(y * x,z,K(y,u)),y,a(u,z,y)) = (a(u,z,y) * y) \ (y * (x * a(u,z,y))). [para(6690(a,2),10697(a,1,1,2))]. 10715 (a(x,y,y) * y) \ (y * (z * a(x,y,y))) = L(z * 1,y,a(x,y,y)). [para(2521(a,1),10714(a,1,1,2)),flip(a)]. 10716 (a(x,y,y) * y) \ (y * (z * a(x,y,y))) = L(z,y,a(x,y,y)). [para(3(a,1),10715(a,2,1))]. 10717 (x * a(y,x,x)) \ (x * (z * a(y,x,x))) = L(z,x,a(y,x,x)). [para(3356(a,1),10716(a,1,1))]. 10718 L(T(x,a(y,z,z)),a(y,z,z),z) = L(x,z,a(y,z,z)). [hyper(414,a,10717,a)]. 10719 L(x,a(y,z,z),z) = L(x,z,a(y,z,z)). [para(4884(a,1),10718(a,1,1))]. 10720 L(x,y \ 1,a(z,y \ 1,y \ 1)) = L(x,a(z,y,y),y \ 1). [para(10493(a,1),10719(a,1,2)),flip(a)]. 10721 L(x,x,y \ x) * L(z,x,a(y,x,x)) = x * (a(y,x,x) * z). [para(10719(a,1),10479(a,1,2))]. 10722 L(x,a(y,z,z),z \ 1) = L(x,z \ 1,a(y,z,z)). [para(10493(a,1),10720(a,1,3)),flip(a)]. 10723 L(x,x,y \ x) * z != x * (a(y,x,x) * u) | L(u,x,a(y,x,x)) = z. [para(10721(a,1),37(a,1)),flip(a)]. 10724 (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = L(L(x,y,z) \ x,u,u) * (x \ L(x,y,z)). [para(5428(a,1),10555(a,2,1,1))]. 10725 (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = a(u,u,x \ L(x,y,z)). [hyper(230,a,10558,a(flip),b,10724,a),flip(a)]. 10726 ((L(x,y,z) \ x) * L(x \ L(x,y,z),u,u)) \ 1 = a(u,u,x \ L(x,y,z)). [para(2056(a,1),10725(a,1,1))]. 10727 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,u))) \ 1 = a(u,u,x \ L(x,y,z)). [para(5514(a,1),10726(a,1,1))]. 10728 L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(L(y \ 1,y,z) \ ((z \ (z / y)) * x),y,y \ 1). [hyper(230,a,1442,a,b,10349,a),flip(a)]. 10729 T(x * y,L(L(T(x,a(z,x,x) * y),x,z),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). [para(20(a,2),10473(a,1,2,1))]. 10730 L(x,y,y \ 1) * ((L(x,y,y \ 1) \ x) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). [para(7214(a,1),10474(a,1,2,1,2))]. 10731 L(x,y,y \ 1) * (a(x,y,y) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). [para(10436(a,1),10730(a,1,2,1))]. 10732 a((x \ 1) \ ((y \ 1) * (((((z \ 1) * x) / (x * y)) * x) \ 1)),y \ 1,y \ 1) = a(z,y \ 1,y \ 1). [para(6005(a,1),10708(a,1,1,2,2))]. 10733 a((x \ 1) \ ((((((y \ 1) * x) / (x * z)) * x) * z) \ 1),z \ 1,z \ 1) = a(y,z \ 1,z \ 1). [para(5585(a,1),10732(a,1,1,2))]. 10734 a(((((((x \ 1) * y) / (y * z)) * y) * z) / y) \ 1,z \ 1,z \ 1) = a(x,z \ 1,z \ 1). [para(5605(a,1),10733(a,1,1))]. 10735 a(((((((x \ 1) * y) / (y * z)) * y) * z) / y) \ 1,z,z) = a(x,z \ 1,z \ 1). [hyper(10494,a,10734,a)]. 10736 a(x,x,(((((y \ 1) * z) / (z * x)) * z) * x) / z) = a(y,x \ 1,x \ 1). [hyper(57,a,10440,a(flip),b,10735,a)]. 10737 a(x,x,y \ (((((z \ 1) * y) / (y * x)) * y) * x)) = a(z,x \ 1,x \ 1). [hyper(6761,a,10736,a)]. 10738 a(x,x,y \ ((((z \ 1) * y) / (y * x)) * y)) = a(z,x \ 1,x \ 1). [hyper(57,a,7235,a(flip),b,10737,a)]. 10739 a(x,x,T(((y \ 1) * z) / (z * x),z)) = a(y,x \ 1,x \ 1). [para(17(a,2),10738(a,1,3))]. 10740 a(x,x,((y \ 1) * z) / (z * x)) = a(y,x \ 1,x \ 1). [hyper(6753,a,10739,a)]. 10741 a(x,x,(y * x) \ ((z \ 1) * y)) = a(z,x \ 1,x \ 1). [hyper(6761,a,10740,a)]. 10743 a(x,x,y \ (x \ ((z \ 1) * y))) = a(z,x \ 1,x \ 1). [hyper(57,a,7221,a(flip),b,10741,a)]. 10744 a(x,x,L(y \ 1,x,z)) = a(y,x \ 1,x \ 1). [hyper(57,a,7230,a(flip),b,10743,a)]. 10745 a(L(x,y,z),y,y) = a(x,y \ 1,y \ 1). [hyper(10484,a,10744,a)]. 10746 a(L(x,y,z),y,y) = a(x,y,y). [hyper(230,a,10493,a(flip),b,10745,a),flip(a)]. 10747 a((x * y) \ z,y,y) = a(x \ z,y,y). [hyper(57,a,10526,a(flip),b,10746,a)]. 10748 a(L(L(x,y,z),u,w),y,y) = a(L(x,u,w),y,y). [para(25(a,1),10746(a,1,1))]. 10749 x * (L(x,x,y \ x) \ z) = a(y,x,x) \ z. [para(10746(a,1),10519(a,1,1)),flip(a)]. 10750 L(x,x,y \ x) * z = x * (a(y,x,x) * z). [para(10746(a,1),10706(a,1,2,1)),flip(a)]. 10751 a((x * y) \ z,x,x) = a(y \ z,x,x). [hyper(10522,a,10747,a)]. 10753 a(x \ (y * z),y,y) = a(x \ z,y,y). [hyper(57,a,10699,a(flip),b,10751,a),flip(a)]. 10755 L(x,y,a(z,y,y)) = x. [hyper(10723,a,10750,a)]. 10756 L(x,x,y \ 1) * z = x * (a(y,x,x) * z). [hyper(57,a,10319,a,b,10750,a)]. 10757 (x * (a(y,x,x) * z)) / (a(y,x,x) * z) = R(x,a(y,x,x),z). [para(10750(a,1),10478(a,1,1))]. 10759 L(x,y \ 1,a(z,y,y)) = x. [para(10493(a,1),10755(a,1,3))]. 10760 L(x,y \ 1,a(z,y,y)) != u | x = u. [para(10759(a,1),44(a,2))]. 10761 L(x,x,y \ 1) * (x \ z) = a(y,x,x) * z. [hyper(1380,a,10756,a)]. 10762 R(x,a(y,x,x),z) = x. [hyper(235,a,10757,a),flip(a)]. 10764 R(x \ 1,a(y,x,x),z) = x \ 1. [para(10493(a,1),10762(a,1,2))]. 10765 L(x,a(y,x,x) \ 1,z) = x. [hyper(5734,a,10764,a)]. 10766 L(x,a(x,x,y),z) = x. [para(10451(a,1),10765(a,1,2))]. 10767 L(x,a(y,x,x),z) = x. [para(10425(a,1),10766(a,1,2))]. 10768 a(L(x,a(y,z,z),u),z,z) = a(z,z \ 1,x). [para(10767(a,1),10566(a,1,1)),flip(a)]. 10769 a(L(x,a(y,z,z),u),z,z) = a(x,z,z). [hyper(230,a,10431,a(flip),b,10768,a),flip(a)]. 10770 a(L(x,a(y,z,z),u),z,z) != w | a(x,z,z) = w. [para(10768(a,2),10483(a,1))]. 10771 a(L(x,a(y,y,z),u),y,y) = a(x,y,y). [para(10430(a,1),10769(a,1,1,2))]. 10772 a(x,x,L(y,a(x,x,z),u)) = a(y,x,x) \ 1. [para(10771(a,1),10451(a,1,1)),flip(a)]. 10773 (x * a(y,y,z)) * a(u,y,y) = x * (a(y,y,z) * a(u,y,y)). [para(10771(a,1),10512(a,1,2))]. 10774 a(x,x,L(y,a(x,x,z),u)) != w | a(x,x,y) = w. [para(10772(a,2),10453(a,1))]. 10775 (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = x * (a(z,z,L(y,u,w)) * a(y,z,z)). [hyper(57,a,10487,a,b,10773,a)]. 10776 L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(x,y,y \ 1). [para(2426(a,1),10728(a,2,1))]. 10777 L(L(x,y,z \ (y \ z)),a(y,y,z \ 1),y \ 1) = L(x,y,y \ 1). [para(6624(a,1),10776(a,1,2))]. 10778 L(L(x,y,z \ (y \ z)),a(z,y,y),y \ 1) = L(x,y,y \ 1). [para(10425(a,1),10777(a,1,2))]. 10779 L(L(x,y,z \ (y \ z)),y \ 1,a(z,y,y)) = L(x,y,y \ 1). [hyper(57,a,10722,a(flip),b,10778,a)]. 10780 L(x,y,z \ (y \ z)) = L(x,y,y \ 1). [hyper(10760,a,10779,a)]. 10782 L(x,y,L(y \ 1,y,z)) = L(x,y,y \ 1). [hyper(57,a,10348,a,b,10780,a)]. 10784 T(x * y,L(L(T(x,y),x,z),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). [para(10516(a,1),10729(a,1,2,1,1))]. 10786 T(x * y,(y * a(z,x,x)) \ (x * y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). [para(10641(a,1),10784(a,1,2))]. 10787 (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,(z * a(x,y,y)) \ 1). [hyper(1073,a,10786,a),flip(a)]. 10788 (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,a(y,y,x) * (z \ 1)). [para(10456(a,1),10787(a,2,2))]. 10789 (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,a(y,y,x) / z). [hyper(230,a,4819,a(flip),b,10788,a),flip(a)]. 10790 (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,z \ a(y,y,x)). [para(6742(a,1),10789(a,2,2))]. 10791 (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = z * y. [hyper(230,a,10327,a(flip),b,10790,a),flip(a)]. 10793 (a(x,y,y) * z) * L(R(y,a(x,y,y),z),y,x) = z * y. [para(24(a,1),10791(a,1,2))]. 10794 (x * y) / L(R(y,a(z,y,y),x),y,z) = a(z,y,y) * x. [hyper(105,a,10793,a)]. 10795 (x * y) / L(y,y,z) = a(z,y,y) * x. [para(10762(a,1),10794(a,1,2,1))]. 10796 (x / L(y,y,z)) * y = a(z,y,y) * x. [hyper(1362,a,10795,a)]. 10797 T(x * (a(y,y,L(z,u,w)) * a(z,y,y)),x) = (a(z,y,(z * y) \ 1) \ 1) * (L(a(z,y,(z * y) \ 1),u,w) * x). [para(10775(a,1),9911(a,1,1))]. 10798 a(x \ 1,y,z) * (L(x,u,w) * (a(x \ 1,y,z) \ 1)) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). [hyper(1169,a,10241,a)]. 10799 K(x,L((y * a(z,z \ 1,u)) \ w,a(u,z,(u * z) \ 1),y)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). [para(5684(a,1),10370(a,1,2,1,1,2))]. 10800 K(x,L((y * a(z,z \ 1,u)) \ w,a(u,z,z \ 1),y)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). [para(5685(a,1),10799(a,1,2,2))]. 10801 L(a(x \ 1,y,z) * (x * (a(x \ 1,y,z) \ 1)),u,w) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). [hyper(57,a,1234,a,b,10798,a)]. 10802 L(L(x,y,z),a(x \ 1,u,w),a(x \ 1,u,w) \ 1) = L(a(x \ 1,u,w) * (a(x \ 1,u,w) \ x),y,z). [para(6223(a,1),10801(a,1,1,2)),flip(a)]. 10803 L(L(x,y,z),a(x \ 1,u,w),a(x \ 1,u,w) \ 1) = L(x,y,z). [para(5(a,1),10802(a,2,1))]. 10804 (a(x \ 1,y,z) \ 1) * L(x,u,w) = a(x \ 1,y,z) \ L(x,u,w). [para(10803(a,1),1140(a,1,2)),flip(a)]. 10805 L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,K(a(z,u,u \ 1),w)) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). [para(4818(a,1),10239(a,1,1))]. 10806 L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,a(z,u,K(u \ 1,w))) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). [para(4865(a,2),10805(a,1,3))]. 10807 L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,1) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). [para(2525(a,1),10806(a,1,3))]. 10808 T(x,((y * a(z,z \ 1,u)) \ 1) \ w) = T(x,y * (a(u,z,z \ 1) \ w)). [hyper(1281,a,10807,a),flip(a)]. 10811 T(x,(y * a(z,z \ 1,u)) * w) = T(x,y * (a(u,z,z \ 1) \ w)). [hyper(57,a,4818,a(flip),b,10808,a)]. 10812 T(x,(y * ((y \ 1) * z)) * (a(z,y,y \ 1) \ u)) = T(x,((y * (y \ 1)) * z) * u). [para(75(a,1),10811(a,1,2,1)),flip(a)]. 10813 T(x,(y * ((y \ 1) * z)) * (a(z,y,y \ 1) \ u)) = T(x,z * u). [para(61(a,1),10812(a,2,2,1))]. 10814 T(x,L(y,z,z \ 1) * (a(y,z,z \ 1) \ u)) = T(x,y * u). [para(1144(a,1),10813(a,1,2,1))]. 10815 T(x,L(y,z,z \ 1) * (a(z,z,y) \ u)) = T(x,y * u). [para(6577(a,1),10814(a,1,2,2,1))]. 10816 K(x,L((y \ L(y,z,u)) \ w,y,L((y \ 1) \ 1,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). [para(1214(a,1),10369(a,1,2,1,1))]. 10817 K(x,L((y \ L(y,z,u)) \ w,y,L(y,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). [para(614(a,1),10816(a,1,2,3,1))]. 10818 K(x,y * (L((y \ 1) \ 1,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). [hyper(10223,a,10817,a),flip(a)]. 10819 K(x,y * (L((y \ 1) \ 1,z,u) \ w)) = K(x,(L(y,z,u) \ y) * w). [hyper(230,a,10030,a(flip),b,10818,a),flip(a)]. 10820 K(x,(L(y,z,u) \ y) * w) = K(x,y * (L(y,z,u) \ w)). [para(614(a,1),10819(a,1,2,2,1,1)),flip(a)]. 10821 ((x * a(x,y,z)) * L(u,x,a(x,y,z))) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). [hyper(230,a,5200,a(flip),b,10395,a),flip(a)]. 10822 (a(x,y,(x * y) \ 1) \ 1) * (L(a(x,y,(x * y) \ 1),z,u) * w) = (a(y,y,L(x,z,u)) * a(x,y,y)) * w. [hyper(738,a,10797,a),flip(a)]. 10823 T(x,y) != (a(z,u,(z * u) \ 1) \ 1) * (L(a(z,u,(z * u) \ 1),w,v5) * y) | y * (a(u,u,L(z,w,v5)) * a(z,u,u)) = x. [para(10797(a,1),43(a,1)),flip(a)]. 10824 (a(x,x,y) \ 1) * (L(a(y,x,(y * x) \ 1),z,u) * w) = (a(x,x,L(y,z,u)) * a(y,x,x)) * w. [para(6580(a,1),10822(a,1,1,1))]. 10825 a(x,y,y) * (L(a(x,y,(x * y) \ 1),z,u) * w) = (a(y,y,L(x,z,u)) * a(x,y,y)) * w. [para(10439(a,1),10824(a,1,1))]. 10826 (a(x,x,L(y,z,u)) * a(y,x,x)) * w = a(y,x,x) * (L(a(x,x,y),z,u) * w). [para(6580(a,1),10825(a,1,2,1,1)),flip(a)]. 10827 (a(x,x,L(y,z,u)) * a(y,x,x)) * w = a(y,x,x) * (a(x,x,L(y,z,u)) * w). [para(7198(a,2),10826(a,2,2,1))]. 10828 (a(x,y,z) * (T(x,a(x,y,z)) * u)) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). [para(2822(a,1),10821(a,1,1))]. 10829 (a(x,y,z) * (x * u)) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). [para(1457(a,1),10828(a,1,1,2,1))]. 10830 (x * y) \ ((x * (y * a(y,z,u))) / a(y,z,u)) = a(a(y,z,u),y,x). [hyper(1465,a,10829,a),flip(a)]. 10831 (x * y) \ ((x * (y * a(y,z,u))) / a(y,z,u)) = a(y,a(y,z,u),x). [hyper(230,a,10253,a(flip),b,10830,a),flip(a)]. 10832 T((x * a(y,z,z)) * L(a(z,z,y),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). [para(6580(a,1),10489(a,1,1,2,1))]. 10833 T((x * a(y,z,z)) * a(z,z,L(y,u,w)),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). [para(7198(a,2),10832(a,1,1,2))]. 10834 (x * a(y,z,z)) * a(z,z,L(y,u,w)) = x * (a(z,z,L(y,u,w)) * a(y,z,z)). [hyper(10823,a,10833,a),flip(a)]. 10835 (x * (a(y,y,L(z,u,w)) * a(z,y,y))) / (a(z,y,y) * a(y,y,L(z,u,w))) = R(x,a(z,y,y),a(y,y,L(z,u,w))). [para(10834(a,1),15(a,2,1)),flip(a)]. 10836 x * K(a(y,y,L(z,u,w)),a(z,y,y)) = R(x,a(z,y,y),a(y,y,L(z,u,w))). [hyper(2623,a,10835,a)]. 10837 R(x,a(y,z,z),a(z,z,L(y,u,w))) = x * 1. [para(6732(a,1),10836(a,1,2)),flip(a)]. 10838 R(x,a(y,z,z),a(z,z,L(y,u,w))) != v5 | x = v5. [para(10837(a,2),104(a,1))]. 10840 L(a(x * y,z,a(z,x,y)) \ u,z,K(x * y,T(z,z))) = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). [para(7250(a,1),10578(a,1,3))]. 10841 x / a(y * z,u,((y * z) * u) \ T((u * y) * z,u)) = L(a(y * z,u,a(u,y,z)) \ x,u,K(y * z,u)). [hyper(57,a,9427,a(flip),b,10840,a),flip(a)]. 10843 x / a(y * z,u,((y * z) * u) \ T((u * y) * z,u)) = a(y * z,u,a(u,y,z)) \ x. [hyper(230,a,1701,a(flip),b,10841,a),flip(a)]. 10845 x / a(y * z,u,a(u,y,z)) = a(y * z,u,a(u,y,z)) \ x. [para(6560(a,2),10843(a,1,2,3))]. 10846 T(a(x * y,z,a(z,x,y)),u) = a(x * y,z,a(z,x,y)). [hyper(30,a,7524,a,b,10845,a)]. 10847 T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = a(y * z,x,a(x,y,z)) \ R(x,y,z). [para(10846(a,1),6199(a,2,1))]. 10848 T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = x * a(x,y,z). [hyper(230,a,7332,a(flip),b,10847,a),flip(a)]. 10850 T(x * (R(x,y,z) \ a(x,y,z)),u) * R(x,y,z) = x * a(x,y,z). [para(1121(a,1),10848(a,1,1,1))]. 10851 x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y / L(z,u,w),y * z)). [para(6264(a,1),10577(a,1,1,1)),flip(a)]. 10852 x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y * z,L(z,u,w) / y)). [para(2020(a,1),10851(a,2,3))]. 10853 x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y * z,y \ L(z,u,w))). [hyper(230,a,9428,a(flip),b,10852,a),flip(a)]. 10854 x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,y * z,K(z,y)). [hyper(230,a,10180,a(flip),b,10853,a),flip(a)]. 10856 x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = a(y,z,L(z,u,w)) \ x. [hyper(230,a,1693,a(flip),b,10854,a),flip(a)]. 10858 x / a(y / L(z,u,w),z,L(z,u,w)) = a(y,z,L(z,u,w)) \ x. [para(1357(a,1),10856(a,1,2,3))]. 10860 x / a(y,z,L(z,u,w)) = a(y,z,L(z,u,w)) \ x. [para(6264(a,1),10858(a,1,2))]. 10861 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(y,L(T(z,x),x,u)) \ 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(6850(a,1),7304(a,1,1,1,1)),flip(a)]. 10862 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(L(T(z,x),x,u),y) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(2129(a,1),10861(a,2,1,1))]. 10863 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(T(z,x),L(y,x,u)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(4624(a,1),10862(a,2,1,1,1))]. 10864 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(z,T(L(y,x,u),x)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(2226(a,1),10863(a,2,1,1,1))]. 10865 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(z,L(T(y,x),x,u)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(20(a,2),10864(a,2,1,1,1,2))]. 10866 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = (K(z,L(T(y,x),x,u)) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). [para(3(a,1),10865(a,2,1,1))]. 10867 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = (x * u) * K(y,(x * u) \ ((x * z) * u)). [para(6972(a,1),10866(a,2,1))]. 10868 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,u \ (x \ ((x * z) * u)))). [hyper(230,a,4660,a(flip),b,10867,a),flip(a)]. 10870 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,((x * u) \ (x * z)) * u)). [para(10031(a,1),10868(a,2,2,2))]. 10871 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,L(T(z,u),u,x))). [para(10681(a,1),10870(a,2,2,2))]. 10872 L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). [para(1988(a,1),10871(a,2,2))]. 10873 L((x * K(y,z)) * u,K(y,(x * u) \ ((x * z) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). [para(7303(a,2),10872(a,1,2,1))]. 10874 L((x * K(y,z)) * u,K((x * u) \ ((x * z) * u),y),(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). [para(1782(a,1),10873(a,1,2))]. 10875 L((x * K(y,z)) * u,K((x * u) \ ((x * z) * u),y),K(y,(x * u) \ ((x * z) * u))) = x * (K(y,L(z,u,x)) * u). [para(7303(a,2),10874(a,1,3))]. 10876 x * (K(y,L(z,u,x)) * u) = (x * K(y,z)) * u. [hyper(8923,a,10875,a),flip(a)]. 10878 a(x,y,L(K(z,T(u,y)),y,x)) = ((x * K(z,u)) * y) \ (x * (K(z,u) * y)). [para(10876(a,1),4673(a,1,1)),flip(a)]. 10879 (a(x,y,y) * K(z,u)) * w = a(x,y,y) * (K(z,u) * w). [para(6909(a,1),10876(a,1,2,1)),flip(a)]. 10880 a(x,y,y) * (K(z,u) * w) != (a(x,y,y) * K(z,u)) * v5 | w = v5. [para(10879(a,1),37(a,1))]. 10881 a(x,y,L(K(z,T(u,y)),y,x)) = a(y,K(z,u),x). [hyper(230,a,9459,a(flip),b,10878,a),flip(a)]. 10882 a(x,y,K(z,L(T(u,y),y,x))) = a(y,K(z,u),x). [para(4572(a,1),10881(a,1,3))]. 10883 a(x,T(y,z),K(z,u)) = a(z,K(u,y),x). [hyper(10375,a,10882,a)]. 10884 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(10103,a,10883,a),flip(a)]. 10887 (x * (K(y,z) * u)) * a(x,y,K(u,z)) = (x * K(y,z)) * u. [para(10884(a,1),75(a,1,2))]. 10888 a(x,y,K(z,y \ u)) = a(x,K(y,u),z). [para(1597(a,1),10884(a,1,2)),flip(a)]. 10889 a(x,y,K(z,u \ (w * y))) = a(x,K(y,u \ w),z). [para(3576(a,1),10884(a,1,2)),flip(a)]. 10890 a(x,a(y,z,K(u,w)),v5) = a(x,a(y,z,u),K(v5,w)). [para(4865(a,2),10884(a,1,2))]. 10891 (K(x,T(y,z)) * u) * a(z,x,K(u,T(y,z))) = z \ ((K(x,y) * z) * u). [para(10884(a,1),6136(a,1,2))]. 10892 x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,y,K(T(z,y) * u,z)). [para(10884(a,1),6138(a,2,2))]. 10893 (K(x,T(y,z)) * u) * a(x / z,x,K(u,y)) = (x / z) \ ((T(x,y) / z) * u). [para(10884(a,1),6278(a,1,2))]. 10894 (T(x,y) \ z) / a(u,y,K(L(x \ z,K(y,x),u),x)) = K(y,x) * L(x \ z,K(y,x),u). [para(10884(a,1),6172(a,1,2))]. 10895 (K(x,T(y,z)) * u) * a(T(x,y) \ z,x,K(u,y)) = (T(x,y) \ z) \ ((x \ z) * u). [para(10884(a,1),6317(a,1,2))]. 10896 a(x,a(y,z,K(u,w)),v5) = a(x,y,K(v5,a(w,z,u))). [para(6690(a,2),10884(a,1,2))]. 10897 a(x,y,K(z,y \ u)) = a(x,y,K(z,u)). [hyper(230,a,10884,a(flip),b,10888,a),flip(a)]. 10898 (T(x,y) * K(z,u)) * a(u,y,K(z,x)) = (y \ x) * (y * K(z,u)). [para(10897(a,1),6822(a,1,2))]. 10900 a(x,y,K(z,u \ (w * y))) = a(x,y,K(z,u \ w)). [hyper(230,a,10884,a(flip),b,10889,a),flip(a)]. 10901 a(x,a(y,z,u),K(w,v5)) = a(x,y,K(w,a(v5,z,u))). [hyper(57,a,10890,a(flip),b,10896,a)]. 10902 K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K(x,y \ z)). [hyper(57,a,5233,a,b,10900,a)]. 10903 a(x,a(y,z,u),K(w,v5)) = a(x,y,a(w,z,K(u,v5))). [para(6690(a,2),10901(a,2,3))]. 10904 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,a(z,w,v5),u)). [para(10903(a,1),6709(a,1,2))]. 10905 T(x,a(y,z,u)) * (K(z,y) * u) = (x * K(z,y)) * u. [hyper(8576,a,10887,a)]. 10906 (x * (K(y,z) * u)) * a(y,z,K(u,x)) = (x * K(y,z)) * u. [hyper(57,a,10094,a,b,10887,a)]. 10907 (x * (a(y,z,u) * K(w,v5))) * a(x,w,K(a(y,z,u),v5)) = (x * K(w,v5)) * a(y,z,u). [para(8500(a,1),10887(a,1,1,2))]. 10908 K(x,y \ (z * (u * ((z * u) \ y)))) = a(x,u,K(z,y)). [hyper(230,a,6686,a(flip),b,10902,a),flip(a)]. 10909 x * a(y,z,K(u,x)) = u * (z * T(z \ (u \ x),a(u,z,y))). [para(10908(a,1),5411(a,1,2))]. 10910 x * ((K(y,z) * u) * a(y,z,K(u,x))) = (x * K(y,z)) * u. [hyper(57,a,5158,a(flip),b,10906,a)]. 10911 x * (K(y,z) * (u * a(y,z,K(u,x)))) = (x * K(y,z)) * u. [para(8539(a,1),10910(a,1,2))]. 10912 x * (K(y,z) * T(u,a(z,x,y))) = (x * K(y,z)) * u. [para(10095(a,1),10911(a,1,2,2))]. 10913 x * (K(y,z) * L(u,x,K(y,z))) = (x * K(y,z)) * u. [para(7019(a,2),10912(a,1,2,2))]. 10914 L(x,a(y,z,z),K(u,w)) = x. [hyper(10880,a,10913,a)]. 10916 L(x,a(y,z,z),T(u,w)) = L(x,a(y,z,z),u). [hyper(7045,a,10914,a)]. 10918 L(x,a(y,z,z),T(u,w)) != v5 | L(x,a(y,z,z),u) = v5. [para(10914(a,1),7049(a,2))]. 10919 K(x,L(y,a(z,u,w),v5)) = K(x,L(y,z,a(v5,u,w))). [hyper(8667,a,10904,a),flip(a)]. 10920 K(x,L((y * a(z,z \ 1,u)) \ w,u,a(y,z,z \ 1))) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). [hyper(57,a,10800,a(flip),b,10919,a),flip(a)]. 10921 x * (y * T(y \ (x \ z),a(x,y,u))) = T(z,a(x,y,u)). [hyper(6715,a,10909,a),flip(a)]. 10922 x * T(x \ y,a(z,u,x)) = T(y,a(x,z,u)). [para(10198(a,1),10921(a,1,2))]. 10923 x \ ((y * x) * K(z,u)) = (x \ y) * (x * K(z,u)). [hyper(57,a,10097,a(flip),b,10898,a)]. 10924 T(x,y) \ ((y \ x) * (y * K(z,u))) = K(z,L(u,y,x)). [para(10923(a,1),10246(a,1,2))]. 10925 x \ ((x / y) * (y * K(z,u))) = K(z,L(u,y,x)). [hyper(2450,a,10924,a)]. 10926 L(K(x,y),z,z \ u) = K(x,L(y,z,u)). [hyper(2849,a,10925,a)]. 10927 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(4687,a,10926,a)]. 10929 T(x,y \ 1) * K(z,L(u,y,x \ 1)) = ((y \ 1) \ x) * (y \ K(z,u)). [para(10927(a,1),7351(a,1,2))]. 10930 (K(x,T(y,z)) * u) * a(z,x,K(u,y)) = z \ ((K(x,y) * z) * u). [para(8544(a,1),10891(a,1,2))]. 10931 K(x,T(y,z)) * T(u,a(z,x,y)) = z \ ((K(x,y) * z) * u). [hyper(4974,a,10930,a)]. 10933 T(x,y \ 1) * K(z,L(u,x,y)) = ((y \ 1) \ x) * (y \ K(z,u)). [para(10167(a,1),10929(a,1,2))]. 10934 ((x \ 1) \ y) * (x \ K(z,u)) = x * ((y / x) * K(z,u)). [hyper(57,a,6897,a(flip),b,10933,a),flip(a)]. 10935 ((x \ 1) \ T(y,x)) * (x \ K(z,u)) = x * ((x \ y) * K(z,u)). [para(677(a,1),10934(a,2,2,1))]. 10936 (x / (y \ 1)) * (y \ K(z,u)) = y * ((y \ x) * K(z,u)). [para(1035(a,1),10935(a,1,1))]. 10937 ((x \ 1) / ((y \ 1) \ 1)) * ((y \ 1) \ K(z,u)) = (y \ 1) * (((x / y) \ 1) * K(z,u)). [para(5605(a,1),10936(a,2,2,1))]. 10938 ((K(x,y) \ 1) * z) * ((u / (z \ 1)) \ 1) = (z * ((z \ u) * K(x,y))) \ 1. [para(10936(a,1),5663(a,2,1))]. 10939 ((K(x,y) \ 1) * z) * ((u / (z \ 1)) \ 1) = (K(y,x) / (z \ u)) * (z \ 1). [hyper(230,a,5599,a(flip),b,10938,a),flip(a)]. 10940 ((K(x,y) \ 1) * z) * (((u \ 1) / (z \ 1)) \ 1) = (K(y,x) * (u / (z \ 1))) * (z \ 1). [para(5623(a,1),10939(a,2,1))]. 10941 x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,y,K(u,z)). [para(3474(a,1),10892(a,2,2,3))]. 10943 x \ ((x * K(y,z)) * (T(z,y) * u)) != w | z * T(u,a(x,y,z)) = w. [para(10941(a,2),4974(a,1))]. 10944 L(x * y,K(x,z),u) = x * T(y,a(u,z,x)). [hyper(10943,a,9677,a),flip(a)]. 10945 L(x * (x \ y),K(x,z),u) = T(y,a(x,u,z)). [hyper(230,a,10922,a(flip),b,10944,a),flip(a)]. 10946 L(x,K(y,z),u) = T(x,a(y,u,z)). [para(5(a,1),10945(a,1,1))]. 10947 T(x,(y * z) \ (L(y,u,w) * z)) = L(x,K(y,w),u). [hyper(230,a,10383,a,b,10946,a)]. 10948 T(x,y \ L(y,z,u)) = L(x,K(y,u),z). [hyper(230,a,10216,a,b,10946,a)]. 10949 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(230,a,10126,a,b,10946,a),flip(a)]. 10950 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(230,a,10121,a,b,10946,a),flip(a)]. 10951 x * a(y,z,K(x,u)) = L(x,K(z,y),u). [hyper(230,a,10095,a,b,10946,a)]. 10952 L(x,K(y,z),u) = L(x,u,K(z,y)). [hyper(230,a,7019,a,b,10946,a),flip(a)]. 10953 T(x,a(y,z,u) \ x) = L(x,K(u,y),z). [hyper(230,a,6782,a,b,10946,a)]. 10954 L(T(x,y),K(y,z),u) = T(x,L(y,u,z)). [hyper(230,a,6794,a(flip),b,10946,a),flip(a)]. 10955 a(x,y,z) * L(u,K(x,z),y) = u * a(x,y,z). [para(10946(a,2),93(a,1,2))]. 10956 T(x * y,a(y,z,u)) = L(x,K(y,u),z) * y. [para(10946(a,2),8784(a,2,1))]. 10957 L(x,K(y,z),u) != w | L(x,z,K(y,u)) = w. [para(10946(a,2),10158(a,1))]. 10958 T(x * y,a(z,y,u)) = L(x,K(z,u),y) * y. [para(10946(a,2),10219(a,2,1))]. 10959 L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ L(x,K(z,u),y). [para(10946(a,2),10242(a,2,2))]. 10960 L(x,K(y,z),u) * (K(u,y) * z) = (x * K(u,y)) * z. [para(10946(a,2),10905(a,1,1))]. 10961 L(K(x,y) * z,x,K(y,K(y,x) * u)) = u \ ((u * K(x,y)) * z). [hyper(57,a,10584,a(flip),b,10949,a),flip(a)]. 10962 L(K(x,y) * (z \ u),x,K(y,z)) = (z * K(y,x)) \ u. [hyper(57,a,2154,a(flip),b,10949,a),flip(a)]. 10963 L(x \ L(y,z,K(x,u)),x,u * K(x,z)) = L(x \ y,T(x,z),u). [para(10949(a,1),3083(a,1,1,2))]. 10964 L(a(x,y,z),u,K(x,w)) = a(x,y,z). [hyper(6104,a,10950,a),flip(a)]. 10965 L(x,y,K(z,u * y)) = L(x,K(y,u),z). [para(1727(a,1),10950(a,1,2)),flip(a)]. 10966 L(x,y,z) \ L(x,K(y,z),u) = T(L(x,y,z) \ x,u). [para(10950(a,2),7077(a,1,2))]. 10967 T(L(x,K(y,z),u) * u,x) = u * L(x,u,K(z,y)). [para(10952(a,1),3123(a,2,2))]. 10968 L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)) = a(x,y,z). [hyper(57,a,10215,a,b,10964,a)]. 10969 (x \ L(x,y,z)) * L(u,K(x,z),y) = u * (x \ L(x,y,z)). [para(10948(a,1),93(a,1,2))]. 10970 (x \ y) * K(z,y \ L(y,u,w)) = x \ L(y,K(u,w),z). [para(10951(a,1),10252(a,2,2))]. 10971 L(x,y,K(z,u * y)) = L(x,u,K(y,z)). [hyper(230,a,10949,a(flip),b,10965,a),flip(a)]. 10972 L(x,K(y,z),u * z) = L(x,K(z,u),y). [hyper(57,a,10949,a,b,10965,a)]. 10973 (L(x,K(y,z),u) * (K(u,y) * z)) \ ((x * K(u,y)) * (z * y)) = L(y,K(u,y) * z,L(x,K(u,y),z * y)). [para(10972(a,1),8213(a,1,1,1))]. 10974 L(x * y,K(y,z),u) = L(x,K(y,z),u) * y. [hyper(57,a,10946,a,b,10956,a)]. 10975 L(x * y,K(z,u),y) = L(x,K(z,u),y) * y. [hyper(57,a,10946,a,b,10958,a)]. 10976 L(x * y,K(y,z),u) = L(x,z,K(y,u)) * y. [para(10949(a,1),10974(a,2,1))]. 10977 L(x * y,K(z,x),y) = x * y. [para(2774(a,1),10975(a,2,1))]. 10978 L(x * y,z,K(y,u)) = L(x,z,K(y,u)) * y. [hyper(10957,a,10976,a)]. 10979 a(x,y,z) * L(u * x,z,K(x,y)) = (u * a(x,y,z)) * x. [para(10978(a,2),10139(a,1,2))]. 10980 a(x,y,L(y,z,u)) * w = w * a(x,y,L(y,z,u)). [para(4533(a,1),10955(a,1,2))]. 10981 T(x,y \ (L(z,u,w) * (z \ y))) = L(x,K(z,w),u). [para(5(a,1),10947(a,1,2,1))]. 10982 T(L(x * y,K(z,u),y),x) = y * L(x,y,K(u,z)). [para(10975(a,2),10967(a,1,1))]. 10983 T(x,y \ (L(z,u,w) * (z \ y))) = L(x,w,K(z,u)). [hyper(230,a,10949,a(flip),b,10981,a),flip(a)]. 10984 L(T(x * y,x),K(z,u),y) = y * L(x,y,K(u,z)). [hyper(57,a,20,a,b,10982,a)]. 10985 L(x * y,K(z,u),x) = x * L(y,x,K(u,z)). [para(589(a,1),10984(a,1,1))]. 10987 x * L(y,x,K(z,u)) != w | L(x * y,z,K(u,x)) = w. [para(10985(a,1),10957(a,1))]. 10988 a(x,x,(y * K(z,u)) \ w) = a(x,x,K(u,z) * (y \ w)). [para(10962(a,1),7030(a,1,3))]. 10989 a((x * K(y,z)) \ u,w,w \ 1) = a(K(z,y) * (x \ u),w,w \ 1). [para(10962(a,1),7029(a,1,1))]. 10990 (x \ y) * a(z,u,K(y,w)) = x \ L(y,K(u,z),w). [para(4727(a,1),10970(a,1,2))]. 10991 (x \ y) * a(y,z,K(u,w)) = x \ L(y,K(w,u),z). [hyper(57,a,10099,a,b,10990,a)]. 10992 (x \ y) * a(y,z,K(u,w)) = x \ L(y,u,K(w,z)). [para(10949(a,1),10991(a,2,2))]. 10993 a(x,x,K(y,z) * ((u * K(y,z)) \ w)) = a(x,x,u \ w). [para(2167(a,1),10988(a,1,3,1)),flip(a)]. 10994 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [hyper(230,a,10966,a(flip),b,10959,a),flip(a)]. 10995 L(T(x,y),z,u) \ T(x,x \ y) = T(L(x,z,u) \ x,x \ y). [para(670(a,1),10994(a,1,1,1))]. 10996 T(L(x,y,z) \ x,u) \ 1 = T(x,u) \ L(T(x,u),y,z). [para(10994(a,1),5423(a,1,1))]. 10997 L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T((R(x,z,u) \ 1) \ (x \ 1),y). [para(5746(a,1),10994(a,2,1,1))]. 10998 T((L(x,y,z) \ x) \ 1,u) = T(x,u) \ L(T(x,u),y,z). [hyper(1859,a,10996,a)]. 10999 T(x,y) \ L(T(x,y),z,u) = T(x \ L(x,z,u),y). [para(5423(a,1),10998(a,1,1)),flip(a)]. 11000 T(x \ 1,y) * L(T(x,y),z,u) = T(x \ L(x,z,u),y). [hyper(57,a,1853,a,b,10999,a)]. 11001 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u). [hyper(57,a,3324,a,b,11000,a)]. 11002 L(T(x \ L(x,y,z),u \ 1),x,u) = (u * L(x,y,z)) / (u * x). [para(11000(a,1),6484(a,1,1))]. 11003 (x \ L(x,y,z)) * L(u,z,K(x,y)) = u * (x \ L(x,y,z)). [para(10949(a,1),10969(a,1,2))]. 11004 (x \ L(x,y,z)) * T(u,L(x,y,z)) = T(u,x) * (x \ L(x,y,z)). [para(10954(a,1),10969(a,1,2))]. 11005 (x * a(y,z,u)) * y = (x * y) * a(y,z,u). [hyper(10137,a,10979,a),flip(a)]. 11006 ((x * y) * a(y,z,u)) \ ((x * (a(y,z,u) * y)) * y) = L(y,a(y,z,u),x). [para(11005(a,1),1363(a,2,1)),flip(a)]. 11007 (x \ L(x,y,z)) * (L(u,z,K(x,y)) * x) = (u * (x \ L(x,y,z))) * x. [para(11003(a,1),6520(a,1,1)),flip(a)]. 11008 L(x,y,K(z,u)) * (u \ L(u,z,y)) = (u \ L(u,z,y)) * x. [para(7031(a,1),11003(a,1,2)),flip(a)]. 11009 T(L(x,y,z) \ x,x \ u) = L(T(x,u),y,z) \ T(x,u). [para(670(a,1),10995(a,1,2)),flip(a)]. 11010 T(L(x,y,z) \ x,x \ u) = T(L(x,y,z) \ x,u). [hyper(230,a,10994,a(flip),b,11009,a),flip(a)]. 11011 L(T(L(x,y,z) \ x,u),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * x),x \ u). [para(11010(a,1),448(a,1,1))]. 11012 L(K(x,y) * z,x,K(y,u)) = u \ ((u * K(x,y)) * z). [para(3513(a,1),10961(a,1,3))]. 11013 x * L(K(y,z) * u,y,K(z,x)) = (x * K(y,z)) * u. [hyper(110,a,11012,a(flip))]. 11015 L(K(x,y) * z,x,K(y,u)) = K(x,y) * L(z,u,K(x,y)). [hyper(28,a,10913,a,b,11013,a),flip(a)]. 11016 x * L(K(y,z) * u,x,K(y,z)) = (x * K(y,z)) * u. [para(10123(a,1),11013(a,1,2))]. 11017 (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). [para(10962(a,1),11013(a,1,2)),flip(a)]. 11018 (x * y) * (((x * y) * K(z,y)) \ u) = (x * T(y,z)) * ((x * y) \ u). [para(2472(a,1),11017(a,1,1)),flip(a)]. 11019 a(x * K(y,z),x * K(y,z),x * ((x * K(z,y)) \ u)) = a(x * K(y,z),x * K(y,z),x \ u). [para(11017(a,1),6614(a,1,3))]. 11020 L(x * (K(y,z) * u),y,K(z,x)) = (x * K(y,z)) * u. [hyper(10987,a,11016,a)]. 11021 L((K(x,y) / z) \ u,z,z \ 1) = (z * K(y,x)) * u. [hyper(57,a,10148,a,b,11020,a)]. 11022 (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). [para(11021(a,1),1140(a,1,2)),flip(a)]. 11023 R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (((z \ 1) * K(y,x)) * u) \ 1. [para(11021(a,1),5728(a,2,1))]. 11024 R(((K(x,y) / (z \ 1)) \ u) \ 1,z,z \ 1) \ (((K(x,y) / (z \ 1)) \ u) \ 1) = ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u). [para(11021(a,1),5801(a,2,2))]. 11025 K(x,y) * L(z,u \ 1,K(x,y)) = L(K(x,y) * z,x,K(u,y)). [hyper(57,a,2599,a(flip),b,11015,a),flip(a)]. 11026 T(x,y) \ L(K(x,y) * z,x,K(y,u)) = x \ L(z,u,K(x,y)). [para(11015(a,2),1820(a,1,2))]. 11028 ((x / K(y,z)) \ 1) * ((K(z,y) / (x / K(y,z))) \ u) = (x / K(y,z)) \ (x * u). [para(7(a,1),11022(a,2,2,1))]. 11029 L(K(x,y) * z,x,K(u,y)) = K(x,y) * L(z,y,K(x,u)). [para(10127(a,1),11025(a,1,2)),flip(a)]. 11030 L(x * ((y \ L(y,z,u)) / x),y,x) = (x * L(y,z,u)) / (x * y). [para(1024(a,1),11002(a,1,1))]. 11032 L(x \ R(x,y,z),x,T(y * z,u)) = a(x,y,z). [para(6088(a,2),10968(a,1,1,2))]. 11033 a(x,T(y,z),z) = a(x,y,z). [hyper(57,a,6200,a(flip),b,11032,a)]. 11036 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,T(z,T(y,z)),T(y,z)). [hyper(230,a,184,a,b,11033,a)]. 11037 x \ L(x,x \ (y \ x),y * x) = a(y * x,y,x). [hyper(57,a,6984,a,b,11033,a)]. 11038 a(x,T(y,z),z \ 1) = a(x,y,z \ 1). [para(1025(a,1),11033(a,1,2)),flip(a)]. 11039 a(x,(y / z) \ 1,z \ 1) = a(x,(z \ y) \ 1,z \ 1). [para(1854(a,1),11033(a,1,2))]. 11040 L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,y \ 1,z \ 1). [hyper(57,a,5937,a,b,11038,a)]. 11041 a(x * y,y \ (x \ y),y) \ 1 = a(x * y,x,y). [hyper(57,a,6368,a,b,11037,a)]. 11042 a(x,y \ (x \ y),y) \ 1 = a(x * y,x,y). [para(6263(a,1),11041(a,1,1))]. 11043 (x * (y \ (y / x))) \ 1 = a(x * y,x,y). [para(3672(a,1),11042(a,1,1))]. 11044 x \ ((y \ (y / x)) \ 1) = a(x * y,x,y). [hyper(57,a,5953,a(flip),b,11043,a)]. 11045 x \ ((y \ (y / x)) \ 1) = a(x,x,y). [hyper(230,a,6263,a(flip),b,11044,a),flip(a)]. 11046 (x \ (x / y)) \ (y \ 1) = a(y,y,x). [hyper(57,a,6355,a,b,11045,a)]. 11047 x \ L(x,x \ 1,y \ 1) = a(x,x,y). [para(5724(a,2),11045(a,1,2))]. 11048 L(x,x \ 1,y \ 1) = L(x,x,y). [hyper(32,a,10304,a,b,11047,a),flip(a)]. 11049 L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)) = ((x \ ((x * y) * z)) \ (y * z)) \ 1. [hyper(57,a,6142,a(flip),b,11048,a),flip(a)]. 11050 L(x,x \ 1,y \ 1) = L(x,x,y * x). [hyper(57,a,5834,a(flip),b,11048,a)]. 11051 L(x \ y,x \ y,x) = (y \ x) \ 1. [hyper(57,a,5723,a(flip),b,11048,a),flip(a)]. 11052 L(x,x \ 1,y) = L(x,x,y \ 1). [hyper(57,a,1473,a(flip),b,11048,a)]. 11053 L(x \ 1,x,y) * L(L(x,x,y),z,u) = L(x \ L(x,z,u),x,y). [para(11048(a,1),6334(a,1,2,1))]. 11054 R(x,x \ 1,y) = L(x,x,y \ 1). [hyper(57,a,2437,a,b,11052,a)]. 11055 R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x,x,(u \ 1) \ 1). [hyper(57,a,5757,a,b,11054,a)]. 11056 L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x,x,(v5 \ 1) \ 1),y,z). [para(11054(a,1),6431(a,2,2,1))]. 11057 L(((x * y) * z) \ (x * (y * z)),((x * y) * z) \ (x * (y * z)),(x * y) * z) = a(x,y,z) \ 1. [para(9(a,2),11051(a,2,1))]. 11058 x * ((x \ y) * (x \ y)) = y * ((y \ x) \ 1). [para(11051(a,1),283(a,1,2)),flip(a)]. 11059 L(a(x,y,z),((y * z) * x) \ T((x * y) * z,x),(y * z) * x) = (T((x * y) * z,x) \ ((y * z) * x)) \ 1. [para(6560(a,2),11051(a,1,1))]. 11060 L(x,x,y * x) = L(x,x,y). [hyper(57,a,11048,a(flip),b,11050,a),flip(a)]. 11061 ((x * y) * y) * L(L(y,y,x),z,u) = (x * y) * (y * L(y,z,u)). [para(11060(a,1),291(a,1,2,1))]. 11063 x / L(T(y \ L(y,y,z),u),y,L(y,y,T(z * y,u)) \ x) = (x / L(y,y,T(z * y,u))) * y. [para(11060(a,1),8598(a,1,2,1,1,2))]. 11064 a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x \ y,x) \ 1. [hyper(57,a,7328,a(flip),b,11039,a),flip(a)]. 11065 a(x,y \ x,y) \ 1 = a(x,x \ y,y). [hyper(57,a,6257,a(flip),b,11064,a),flip(a)]. 11066 ((x \ y) * (y \ 1)) * x = a(y,y \ x,x). [hyper(57,a,7291,a,b,11065,a)]. 11067 x * ((y \ 1) * (y / x)) = a(y,y \ x,x). [hyper(57,a,1231,a(flip),b,11066,a)]. 11068 a(x \ y,(x \ y) \ 1,y) = a(y,y \ x,x). [hyper(57,a,5664,a,b,11067,a)]. 11069 a(x \ y,x \ y,y \ 1) = a(y,y \ x,x). [hyper(6765,a,11068,a)]. 11070 a(x \ y,x \ y,x \ 1) = a(y,y \ x,x). [hyper(57,a,6631,a(flip),b,11069,a)]. 11071 (x \ y) * (y \ x) = a(y,y \ x,x). [hyper(57,a,6625,a(flip),b,11069,a)]. 11072 (x \ y) \ a(y,y \ x,x) = y \ x. [hyper(101,a,11071,a)]. 11073 L(x \ y,y \ x,z) * z = a(x,x \ y,y) * ((y \ x) \ z). [para(11071(a,1),3153(a,2,1))]. 11074 (R(x,y,z) \ a(x,u,w)) \ 1 = a(x,u,w) \ R(x,y,z). [para(6101(a,1),11072(a,1,2))]. 11075 a(x,x \ y,x \ y) = a(y,y \ x,x). [hyper(10426,a,11070,a)]. 11076 (a(x,y,z) \ R(x,u,w)) \ 1 = R(x,u,w) \ a(x,y,z). [hyper(623,a,11074,a)]. 11077 a(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ a(x,y,z). [hyper(6282,a,11076,a)]. 11078 a(x,y,z) * L(x \ 1,u,u) = R(x,u,u) \ a(x,y,z). [para(10554(a,2),11077(a,1,2))]. 11079 a(x,y,z) * L(x \ 1,u,u) = L(x,u,u) \ a(x,y,z). [hyper(230,a,10332,a(flip),b,11078,a),flip(a)]. 11080 R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x,x,u). [hyper(230,a,1473,a(flip),b,11055,a),flip(a)]. 11081 L(x,x,((L(x,y,z) \ u) \ 1) \ 1) = L(x,x,u). [hyper(57,a,11054,a(flip),b,11080,a)]. 11082 L(x,x,L(x,y,z) \ u) = L(x,x,u). [hyper(57,a,1473,a(flip),b,11081,a)]. 11083 L(x,x,x \ y) = L(x,x,y). [para(588(a,1),11082(a,1,3,1))]. 11084 L(x,x,y * x) != z | L(x,x,y) = z. [para(11083(a,1),7051(a,1))]. 11085 L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)) != u | L(a(x,y,z),a(x,y,z),y * z) = u. [para(6126(a,2),11084(a,1,3))]. 11086 L(x,x \ 1,y \ 1) != z | L(x,x,y) = z. [para(11050(a,2),11084(a,1))]. 11087 L(x,x \ 1,y) != z | L(x,x,y \ 1) = z. [para(614(a,1),11086(a,1,3))]. 11089 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,T(z,y),T(y,z)). [para(762(a,1),11036(a,2,2))]. 11090 a(x,y,z) = (x * (z * y)) \ ((x * y) * T(z,y)). [hyper(230,a,2800,a(flip),b,11089,a)]. 11091 a(x,y,T(z,y)) = a(x,y,z). [hyper(230,a,184,a(flip),b,11090,a)]. 11092 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [hyper(110,a,11090,a(flip))]. 11094 a(x,y \ 1,(z / y) \ 1) = a(x,y \ 1,(y \ z) \ 1). [para(1854(a,1),11091(a,1,3))]. 11095 (x * ((x \ R(x,y,z)) * u)) * 1 = (x * u) * T(x \ R(x,y,z),u). [para(1568(a,1),11092(a,1,2))]. 11096 a(x \ 1,y \ 1,(y \ x) \ 1) = a(y,y \ 1,x). [hyper(57,a,6650,a(flip),b,11094,a),flip(a)]. 11097 a(x \ 1,y \ 1,(y \ x) \ 1) = a(y \ x,y,(x / y) * y). [hyper(57,a,6252,a(flip),b,11094,a),flip(a)]. 11098 a(x \ 1,y \ 1,(y \ x) \ 1) = a(y \ x,y,x). [para(7(a,1),11097(a,2,3))]. 11099 a(x \ y,x,y) = a(x,x \ 1,y). [hyper(57,a,11096,a(flip),b,11098,a),flip(a)]. 11100 a(x \ y,x,y) = a(y,x,x). [hyper(230,a,10431,a(flip),b,11099,a),flip(a)]. 11101 L(x \ L(x,y,z),x,y * z) = (z * y) \ ((z * (y * x)) / x). [hyper(33,a,5928,a,b,11040,a),flip(a)]. 11102 L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u)) = (L(y,z,u) * y) \ ((y * (L(y,z,u) * x)) / x). [para(1379(a,1),11101(a,2,2,1))]. 11103 L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = (y * a(y,z,u)) \ ((a(y,z,u) * (y * x)) / x). [para(1458(a,1),11101(a,2,1))]. 11104 L(L(x,y,z) \ x,x,u) \ 1 = L(x \ L(x,y,z),x,u). [hyper(10387,a,11053,a)]. 11105 L(x \ L(x,y,z),x,u) != w | L(L(x,y,z) \ x,x,u) \ 1 = w. [para(11053(a,1),10387(a,1))]. 11106 L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,u). [hyper(623,a,11104,a)]. 11107 L(x \ L(x,y,z),x,u) \ 1 != w | L(L(x,y,z) \ x,x,u) = w. [para(11104(a,1),618(a,1,1))]. 11108 L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = L((y \ (y / x)) \ (x \ 1),x \ 1,z) \ 1. [para(2279(a,1),11104(a,1,1,1,1)),flip(a)]. 11110 L(L(x,y,z) \ x,x,z * y) = a(x \ 1,y \ 1,z \ 1). [hyper(57,a,5931,a(flip),b,11106,a),flip(a)]. 11111 L(L(L(x,y,z) \ x,u,w),L(x,u,w),z * y) = a(L(x,u,w) \ 1,y \ 1,z \ 1). [para(5902(a,1),11110(a,1,1))]. 11112 (x * (y * L(y,z,u))) * y = (x * y) * (y * L(y,z,u)). [hyper(57,a,1548,a(flip),b,11061,a)]. 11113 ((x * y) * L(y,z,u)) \ ((x * y) * (y * L(y,z,u))) = L(y,L(y,z,u),x). [para(11112(a,1),1426(a,1,2))]. 11114 a(x \ 1,y \ 1,z \ 1) != u | L(L(x,y,z) \ x,x,y * z) = u. [para(11040(a,1),11107(a,1))]. 11115 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),u). [hyper(57,a,1554,a(flip),b,11001,a)]. 11116 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(1214(a,1),11001(a,1,1))]. 11117 (x \ ((x / y) * L(y,z,u))) * (x * y) = x * (y * T(y \ L(y,z,u),x)). [para(11115(a,1),3049(a,2,2,2))]. 11118 x * T(x \ L(x,y,z),u) = L(x,y,T(z,x * u)). [para(11116(a,1),8591(a,1,2))]. 11119 L(x,y,T(z,x * u)) = L(x,y,T(z,u)). [hyper(8597,a,11118,a),flip(a)]. 11120 L(x,y,R(T(z,x * u),w,v5)) = L(x,y,T(R(z,w,v5),u)). [para(22(a,2),11119(a,1,3))]. 11121 L(x,y,R(T(z,x * u),w,v5)) = L(x,y,R(T(z,u),w,v5)). [para(22(a,2),11120(a,2,3))]. 11122 L(x,y,(x * z) \ ((x * u) * z)) = L(x,y,R(T(u,z),x,z)). [hyper(57,a,3434,a,b,11121,a)]. 11123 L(x,y,R(T(z / x,y),x,y)) = L(x,y,(y * x) \ (z * y)). [hyper(57,a,9007,a(flip),b,11122,a),flip(a)]. 11124 L(x,y,R(z / x,x,y)) = L(x,y,(y * x) \ (z * y)). [hyper(7052,a,11123,a)]. 11125 L(x,y,R(x \ z,x,y)) = L(x,y,(y * x) \ (z * y)). [hyper(57,a,3433,a(flip),b,11124,a)]. 11126 L(x,T(y,x),(T(y,x) * x) \ (z * T(y,x))) = L(x,y,R(x \ z,x,T(y,x))). [hyper(57,a,5291,a(flip),b,11125,a),flip(a)]. 11127 L(x,y,R(x \ (y \ z),x,y)) = L(x,y,(y * x) \ T(z,y)). [para(649(a,2),11125(a,2,3,2))]. 11128 (x * y) * T(x \ R(x,z,u),y) != w | x * ((x \ R(x,z,u)) * y) = w. [para(11095(a,1),104(a,1))]. 11129 (x \ L(x,y,z)) * L(u * x,z,K(x,y)) = (u * (x \ L(x,y,z))) * x. [para(10978(a,2),11007(a,1,2))]. 11130 (x * (y \ L(y,z,u))) * y = (x * y) * (y \ L(y,z,u)). [hyper(57,a,11003,a(flip),b,11129,a),flip(a)]. 11131 (T(x,(y \ L(y,z,u)) \ (y \ 1)) * (y \ L(y,z,u))) * y = (y * (y \ L(y,z,u))) * R(x,y,y \ L(y,z,u)). [hyper(230,a,5655,a(flip),b,11130,a),flip(a)]. 11132 ((x * y) * a(y,z,u)) \ ((x * (y * a(y,z,u))) * y) = L(y,a(y,z,u),x). [para(1458(a,1),11006(a,1,2,1,2))]. 11133 L(T(x,L(x,y,z)),L(x,y,z),u * x) = L(x,L(x,y,z),u). [hyper(414,a,11113,a)]. 11134 L(x,L(x,y,z),u * x) = L(x,L(x,y,z),u). [para(142(a,1),11133(a,1,1))]. 11135 a(L(x,L(y,z,u),w * y),y,y) = a(y \ 1,L(y,L(y,z,u),w),x). [para(11134(a,1),10564(a,1,2)),flip(a)]. 11136 a(L(x,L(y,z,u),w * y),y,y) != v5 | a(L(x,L(y,z,u),w),y,y) = v5. [para(11135(a,2),10565(a,1))]. 11137 x * (y * T(y \ L(y,z,u),x)) = T(x * L(y,z,u),x * y). [hyper(3045,a,11117,a),flip(a)]. 11138 T(x * L(y,z,u),x * y) = x * L(y,z,T(u,x)). [para(8591(a,1),11137(a,1,2)),flip(a)]. 11139 (x * L(y,z,T(u,x))) / (x * y) = x \ ((x / y) * L(y,z,u)). [para(11138(a,1),3042(a,1,1))]. 11140 L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * (x * a(x,y,y))) * x). [hyper(230,a,10916,a,b,11132,a)]. 11141 ((x * a(y,y,z)) * a(a(y,y,z),u,w)) \ ((x * (a(y,y,z) * a(a(y,y,z),u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). [hyper(230,a,7198,a,b,11132,a),flip(a)]. 11142 (K(x,T(y,z)) * u) * a(z \ x,x,K(u,y)) = (x / z) \ ((T(x,y) / z) * u). [para(6206(a,1),10893(a,1,2))]. 11143 L(x,T(y,x),(T(y,x) * x) \ (z * T(y,x))) = L(x,y,R(x \ z,x,y)). [para(2640(a,1),11126(a,2,3))]. 11144 L(x,T(y,x),L(x \ T(z,T(y,x)),x,y)) = L(x,y,R(x \ z,x,y)). [para(2838(a,1),11143(a,1,3))]. 11145 L(x,y,L(x \ T(z,T(y,x)),x,y)) = L(x,y,R(x \ z,x,y)). [hyper(57,a,5291,a(flip),b,11144,a)]. 11146 (K(x,T(y,z)) * u) * a(u,y,K(x,z)) = (x / z) \ ((T(x,y) / z) * u). [para(10089(a,1),11142(a,1,2))]. 11147 K(x,T(y,z)) * T(u,a(z,y,x)) = (x / z) \ ((T(x,y) / z) * u). [hyper(6723,a,11146,a)]. 11148 K(x,T(y,z)) * L(u,x,K(z,y)) = (x / z) \ ((T(x,y) / z) * u). [para(10126(a,2),11147(a,1,2))]. 11149 (x / y) \ ((T(x,z) / y) * u) = (y * K(x,z)) * (y \ u). [hyper(57,a,10233,a(flip),b,11148,a),flip(a)]. 11150 (x / y) \ ((T(x,z) / y) * u) = y * ((y * K(z,x)) \ u). [hyper(230,a,11017,a(flip),b,11149,a),flip(a)]. 11151 (x / (y * x)) \ ((x \ (T(x,z) / y)) * u) = (y * x) * (((y * x) * K(z,x)) \ u). [para(9689(a,1),11150(a,1,2,1))]. 11152 (K(x,y) / z) * ((K(y,x) / (z / K(x,y))) \ u) = (z / K(x,y)) \ (z * u). [para(4752(a,1),11028(a,1,1))]. 11153 (K(x,y) / z) * ((K(y,x) / (z * K(y,x))) \ u) = (z / K(x,y)) \ (z * u). [para(2166(a,1),11152(a,1,2,1,2))]. 11154 (K(x,y) / z) * ((K(x,y) * (K(y,x) / z)) \ u) = (z / K(x,y)) \ (z * u). [para(8681(a,1),11153(a,1,2,1))]. 11155 (K(x,y) / z) * ((z \ 1) \ u) = (z / K(x,y)) \ (z * u). [para(4759(a,1),11154(a,1,2,1))]. 11157 L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * L(x,y,y)) * x). [para(10498(a,1),11140(a,2,2,1,2))]. 11158 L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * x) * L(x,y,y)). [para(1352(a,1),11157(a,2,2))]. 11159 L(x,a(x,y,y),T(z,u)) = L(x,a(x,y,y),z * x). [hyper(230,a,10557,a(flip),b,11158,a),flip(a)]. 11160 L(x,a(x,y,y),z * x) = L(x,a(x,y,y),z). [hyper(10918,a,11159,a),flip(a)]. 11161 L(x,a(x,y,y),z / x) = L(x,a(x,y,y),z). [para(7(a,1),11160(a,1,3)),flip(a)]. 11162 L(x,a(x,y,y),x \ z) = L(x,a(x,y,y),z). [hyper(57,a,3431,a(flip),b,11161,a)]. 11163 (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (y * x) * (((y * x) * K(z,x)) \ u). [para(2293(a,1),11151(a,1,1))]. 11164 (K(x,T(y,z)) * u) * a(u,x,K(y,x \ z)) = (T(x,y) \ z) \ ((x \ z) * u). [para(6701(a,1),10895(a,1,2))]. 11165 (K(x,T(y,z)) * u) * a(u,x,K(y,z)) = (T(x,y) \ z) \ ((x \ z) * u). [para(10897(a,1),11164(a,1,2))]. 11166 K(x,T(y,z)) * T(u,a(z,x,y)) = (T(x,y) \ z) \ ((x \ z) * u). [hyper(6723,a,11165,a)]. 11167 (T(x,y) \ z) \ ((x \ z) * u) = z \ ((K(x,y) * z) * u). [hyper(57,a,10931,a(flip),b,11166,a),flip(a)]. 11168 (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (T(x,z) / y) \ ((K(x,z) * (T(x,z) / y)) * u). [para(4909(a,1),11167(a,1,1))]. 11170 (x * (a(y,y,z) * K(u,w))) * a(x,u,1) = (x * K(u,w)) * a(y,y,z). [para(6732(a,1),10907(a,1,2,3))]. 11171 (x * (a(y,y,z) * K(u,w))) * 1 = (x * K(u,w)) * a(y,y,z). [para(2522(a,1),11170(a,1,2))]. 11172 (x * K(y,z)) * a(u,u,w) != v5 | x * (a(u,u,w) * K(y,z)) = v5. [para(11171(a,1),104(a,1))]. 11174 x * (a(y,y,z) * K(u,x \ a(z,y,y))) = T(a(y,y,z) * x,u). [hyper(11172,a,10589,a)]. 11175 x * (a(y,y,z) * K(u,x \ a(z,y,y))) = T(x * a(y,y,z),u). [para(6739(a,1),11174(a,2,1))]. 11176 ((x \ 1) / y) * ((y \ 1) \ K(z,u)) = (y \ 1) * (((x / y) \ 1) * K(z,u)). [para(614(a,1),10937(a,1,1,2))]. 11177 (x \ 1) * (((y / x) \ 1) * K(z,u)) = ((y \ 1) / x) * (x * K(z,u)). [para(4733(a,1),11176(a,1,2)),flip(a)]. 11178 ((x \ 1) / y) * (y * K(z,u)) = (y \ 1) * ((x / y) \ K(z,u)). [para(4735(a,1),11177(a,1,2)),flip(a)]. 11179 ((x \ 1) * ((y / x) \ K(z,u))) \ 1 = (K(u,z) / x) * (((y \ 1) / x) \ 1). [para(11178(a,1),5599(a,1,1))]. 11180 ((x \ 1) * ((y / x) \ K(z,u))) \ 1 = (K(u,z) / x) * ((x \ 1) \ y). [para(5616(a,1),11179(a,2,2))]. 11181 (K(x,y) * (z / u)) * ((u \ 1) \ 1) = (K(x,y) / u) * ((u \ 1) \ z). [hyper(5651,a,11180,a)]. 11182 (K(x,y) / z) * ((z \ 1) \ u) = (K(x,y) * (u / z)) * z. [para(614(a,1),11181(a,1,2)),flip(a)]. 11183 (x / K(y,z)) \ (x * u) = (K(y,z) * (u / x)) * x. [hyper(57,a,11155,a(flip),b,11182,a)]. 11184 (x * K(y,z)) \ (x * u) = (K(z,y) * (u / x)) * x. [para(2166(a,1),11183(a,1,1))]. 11185 x \ ((x * K(y,z)) * u) = (K(y,z) * (u / x)) * x. [hyper(57,a,9676,a(flip),b,11184,a)]. 11187 x * ((K(y,z) * (u / x)) * x) != w | (x * K(y,z)) * u = w. [para(11185(a,1),203(a,1,2))]. 11188 a((K(x,y) * (z / u)) * u,w,u) = a((u * K(x,y)) * z,w,u). [para(11185(a,1),6674(a,1,1))]. 11189 (x \ ((K(y,z) * (u / (x \ 1))) * (x \ 1))) \ (((x \ 1) * K(y,z)) * u) = a(((x \ 1) * K(y,z)) * u,x,x \ 1). [para(11185(a,1),6676(a,1,1,2))]. 11190 (K(x,y) * z) * (((u \ 1) / (z \ 1)) \ 1) = (K(x,y) * (u / (z \ 1))) * (z \ 1). [para(1782(a,1),10940(a,1,1,1))]. 11191 (K(x,y) * (z / (u \ 1))) * (u \ 1) = (K(x,y) * u) * (((u \ z) \ 1) \ 1). [para(5627(a,1),11190(a,1,2,1)),flip(a)]. 11192 (K(x,y) * (z / (u \ 1))) * (u \ 1) = (K(x,y) * u) * (u \ z). [para(614(a,1),11191(a,2,2))]. 11193 (K(x,y) * (z / (u \ 1))) * (u \ 1) = u * ((K(y,x) * u) \ z). [hyper(230,a,10262,a(flip),b,11192,a),flip(a)]. 11194 a(((x \ 1) * K(y,z)) * u,w,x \ 1) = a(x * ((K(z,y) * x) \ u),w,x \ 1). [para(11193(a,1),11188(a,1,1)),flip(a)]. 11195 a(((x \ 1) * K(y,z)) * u,x,x \ 1) = a((K(z,y) * x) \ u,x,x \ 1). [hyper(230,a,5708,a(flip),b,11194,a),flip(a)]. 11196 a((K(x,y) * z) \ u,z,z \ 1) = a((z \ K(y,x)) * u,z,z \ 1). [para(4735(a,1),11195(a,1,1,1)),flip(a)]. 11197 a((x * K(y,z)) \ u,x,x \ 1) = a((x \ K(z,y)) * u,x,x \ 1). [hyper(5989,a,11196,a)]. 11198 a(x \ (K(y,z) * u),x,x \ 1) = a((x \ K(y,z)) * u,x,x \ 1). [hyper(57,a,7065,a(flip),b,11196,a)]. 11199 a((x \ K(y,z)) * u,x,x \ 1) = a(K(y,z) * (x \ u),x,x \ 1). [hyper(57,a,10989,a(flip),b,11197,a),flip(a)]. 11200 a((x \ K(y,z)) * u,x,x \ 1) = a(K(y,z) * u,x,x \ 1). [hyper(6634,a,11198,a),flip(a)]. 11201 a((x \ K(y,z)) * u,x,x \ 1) != w | a(K(y,z) * u,x,x \ 1) = w. [para(11198(a,1),6634(a,1))]. 11202 a(K(x,y) * (z \ u),z,z \ 1) = a(K(x,y) * u,z,z \ 1). [hyper(57,a,11200,a(flip),b,11199,a),flip(a)]. 11203 a(K(x,y) * z,u,u \ 1) = a(u,u,K(x,y) * (u \ z)). [hyper(6762,a,11202,a),flip(a)]. 11204 a(x,x,K(y,z) * (x \ u)) = a(x,x,K(y,z) * u). [hyper(6762,a,11203,a),flip(a)]. 11205 a(x,x,K(y,z) * (x \ u)) != w | a(x,x,K(y,z) * u) = w. [para(11203(a,1),6762(a,1))]. 11206 a(x,x,K(y,z) * (x * u)) = a(x,x,K(y,z) * u). [para(4(a,1),11204(a,1,3,2)),flip(a)]. 11207 T((R(x,y,z) \ 1) \ (x \ 1),u) = T(x,u) \ R(T(x,u),y,z). [hyper(57,a,5955,a(flip),b,10997,a),flip(a)]. 11208 T((R(x,y,z) \ x) \ 1,u) = T(x,u) \ R(T(x,u),y,z). [para(5617(a,1),11207(a,1,1))]. 11209 T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y). [para(2329(a,1),11208(a,1,1)),flip(a)]. 11210 T(x \ 1,y) * R(T(x,y),z,u) = T(x \ R(x,z,u),y). [hyper(57,a,1852,a,b,11209,a)]. 11211 L(T(x \ R(x,y,z),u),T(x,u),y * z) != w | a(T(x,u),y,z) = w. [para(11209(a,1),6061(a,1,1))]. 11212 T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ R(x,y,z),u). [hyper(57,a,3322,a,b,11210,a)]. 11213 T(x \ R(x,y,z),x * u) = T(x \ R(x,y,z),u). [para(515(a,1),11212(a,1,1))]. 11214 (x * y) * T(x \ R(x,z,u),y) = (x \ R(x,z,u)) * (x * y). [para(11213(a,1),93(a,1,2))]. 11215 (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). [hyper(11128,a,11214,a),flip(a)]. 11216 (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u) = a(x \ R(x,y,z),x,u). [para(11215(a,1),9(a,2,1)),flip(a)]. 11217 ((x \ R(x,y,z)) * x) \ (x * ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). [para(11215(a,1),13(a,2,2)),flip(a)]. 11218 R(x,y,z) \ (x * ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). [para(680(a,1),11217(a,1,1))]. 11219 x * (R(x,y,z) \ ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). [hyper(1130,a,11218,a)]. 11220 L(x,y \ R(y,z,u),y) = L(x,y,y \ R(y,z,u)). [hyper(390,a,11218,a)]. 11221 L(x,y \ 1,(y \ 1) \ R(y \ 1,z \ 1,u \ 1)) = L(x,(y \ 1) \ (L(y,z,u) \ 1),y \ 1). [para(5717(a,1),11220(a,1,2,2)),flip(a)]. 11222 L((x * (y * z)) \ ((x * y) * z),y,x) = a(L(z,y,x) \ 1,y \ 1,x \ 1). [hyper(57,a,478,a(flip),b,11111,a)]. 11223 a(L(x,y,z) \ 1,y \ 1,z \ 1) = L(a(z,y,x),y,z). [para(9(a,2),11222(a,1,1)),flip(a)]. 11224 a(L(x,y,z) \ 1,y \ 1,z \ 1) != u | a(z,y,x) = u. [para(11223(a,2),6104(a,1))]. 11225 (x * ((x \ R(x,y,z)) * u)) \ (R(x,y,z) * u) = a(x \ R(x,y,z),x,u). [para(680(a,1),11216(a,1,2,1))]. 11226 a(x \ R(x,y,z),x,u) != w | a(x,x \ R(x,y,z),u) = w. [para(11225(a,1),461(a,1))]. 11227 (T(x,y) \ z) / a(u,y,K(x \ z,x)) = K(y,x) * L(x \ z,K(y,x),u). [para(8905(a,1),10894(a,1,2,3))]. 11228 (T(x,y) \ z) / a(u,y,K(z,x)) = K(y,x) * L(x \ z,K(y,x),u). [para(1688(a,1),11227(a,1,2,3))]. 11230 K(x,y) * L(y \ z,K(x,y),u) = (T(y,x) \ z) * a(y,x,K(z,u)). [hyper(8660,a,11228,a),flip(a)]. 11231 K(x,y) * L(y \ z,K(x,y),u) = T(y,x) \ L(z,K(x,y),u). [hyper(230,a,10990,a(flip),b,11230,a),flip(a)]. 11232 K(x,y) * L(y \ z,y,K(x,u)) = T(y,x) \ L(z,K(x,y),u). [para(10949(a,1),11231(a,1,2))]. 11233 K(x,y) * L(y \ z,y,K(x,u)) = T(y,x) \ L(z,y,K(x,u)). [para(10949(a,1),11232(a,2,2))]. 11234 L(K(x,y) * (y \ z),x,K(u,y)) = T(y,x) \ L(z,y,K(x,u)). [hyper(57,a,11029,a,b,11233,a)]. 11235 L(T(x,y) \ z,y,K(u,x)) = T(x,y) \ L(z,x,K(y,u)). [para(2134(a,1),11234(a,1,1))]. 11236 L(T(x,y) \ (K(x,y) * z),y,K(u,x)) = x \ L(z,u,K(x,y)). [hyper(230,a,11026,a(flip),b,11235,a),flip(a)]. 11237 L(x \ y,z,K(u,x)) = x \ L(y,u,K(x,z)). [para(1820(a,1),11236(a,1,1))]. 11239 L(L(x \ y,z,K(u,x)),x,z * K(x,u)) = L(x \ y,T(x,u),z). [para(11237(a,2),10963(a,1,1))]. 11240 T((x * (y * z)) \ ((x * y) * z),z \ u) = T((x * (y * z)) \ ((x * y) * z),u). [hyper(57,a,448,a(flip),b,11011,a),flip(a)]. 11241 T((x * (y * z)) \ ((x * y) * z),z \ u) = T(a(x,y,z),u). [para(9(a,2),11240(a,2,1))]. 11242 T(a(x,y,z),z \ u) = T(a(x,y,z),u). [para(9(a,2),11241(a,1,1))]. 11243 R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = ((z \ K(y,x)) * u) \ 1. [para(4735(a,1),11023(a,2,1,1))]. 11244 R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (u \ 1) * (K(x,y) * z). [hyper(230,a,5588,a(flip),b,11243,a),flip(a)]. 11245 R(((K(x,y) * z) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (u \ 1) * (K(x,y) * z). [para(4734(a,1),11244(a,1,1,1,1))]. 11246 R(((K(x,y) * z) \ u) \ 1,z,z \ 1) = (u \ 1) * (K(x,y) * z). [hyper(57,a,5755,a(flip),b,11245,a)]. 11247 ((x \ ((x * y) * z)) \ (y * z)) \ 1 != u | L(a(x,y,z),a(x,y,z),y * z) = u. [para(11049(a,1),11085(a,1))]. 11248 L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = L(a(x,x,y),x \ 1,z) \ 1. [para(11046(a,1),11108(a,2,1,1))]. 11249 L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(x,x,L(y,x \ 1,z)) \ 1. [para(7198(a,2),11248(a,2,1))]. 11250 L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(x,x,L(y,x,z \ 1)) \ 1. [para(7220(a,1),11249(a,2,1))]. 11251 L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(L(y,x,z \ 1),x,x). [hyper(230,a,10439,a(flip),b,11250,a),flip(a)]. 11252 (x / (y \ 1)) * L(y \ 1,y,z) = x * a(L(z,y,x \ 1),y,y). [para(11251(a,1),3047(a,1,2)),flip(a)]. 11253 (x / (y \ 1)) * L(y \ 1,y,z) = x * a(z,y,y). [para(10746(a,1),11252(a,2,2))]. 11254 L(x \ 1,x,y) * ((x \ 1) \ z) = z * a(y,x,x). [hyper(57,a,3229,a,b,11253,a)]. 11256 (x \ 1) * (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(11254(a,1),1378(a,1,2))]. 11257 ((x \ 1) \ a(y * a(z,x,x),x \ 1,x \ 1)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. [hyper(57,a,10477,a,b,11256,a)]. 11258 (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (T(x,z) / y) \ ((T(T(x,z),z) / y) * u). [para(4911(a,1),11168(a,2,2,1))]. 11259 (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = y * ((y * K(z,T(x,z))) \ u). [hyper(230,a,11150,a(flip),b,11258,a),flip(a)]. 11260 (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = y * ((y * K(z,x)) \ u). [para(1678(a,1),11259(a,2,2,1,2))]. 11261 (x * y) * (((x * y) * K(z,y)) \ u) = x * ((x * K(z,y)) \ u). [hyper(57,a,11163,a(flip),b,11260,a)]. 11262 (x * T(y,z)) * ((x * y) \ u) = x * ((x * K(z,y)) \ u). [hyper(57,a,11018,a(flip),b,11261,a)]. 11263 x * ((x * K(y,z)) \ (x * (z * u))) = (x * T(z,y)) * L(u,z,x). [para(13(a,2),11262(a,1,2)),flip(a)]. 11264 x * ((K(y,z) * ((y * u) / x)) * x) = (x * T(y,z)) * L(u,y,x). [para(11184(a,1),11263(a,1,2))]. 11265 (x * T(y,z)) * L(u,y,x) = (x * K(y,z)) * (y * u). [hyper(11187,a,11264,a),flip(a)]. 11266 (x * T(y,z)) \ ((x * K(y,z)) * (y * u)) = L(u,y,x). [hyper(101,a,11265,a)]. 11267 L(x,y,z * K(y,u)) = L(x,y,z). [hyper(2501,a,11266,a)]. 11268 L(L(x \ y,z,K(u,x)),x,z) = L(x \ y,T(x,u),z). [hyper(57,a,11239,a(flip),b,11267,a),flip(a)]. 11270 L(x,y,z \ T(u,y)) = L(x,y,z \ u). [para(4930(a,1),11267(a,1,3)),flip(a)]. 11272 L(x,y,R(x \ (y \ z),x,y)) = L(x,y,(y * x) \ z). [hyper(57,a,11127,a,b,11270,a)]. 11273 L(x \ y,T(x,z),u) = L(x \ y,x,T(u,z)). [hyper(10209,a,11268,a),flip(a)]. 11275 L(x \ (x * y),x,T(z,u)) = L(y,T(x,u),z). [para(4(a,1),11273(a,1,1)),flip(a)]. 11276 L(x,T(y,z),u) = L(x,y,T(u,z)). [para(4(a,1),11275(a,1,1)),flip(a)]. 11277 L(T(x \ R(x,y,z),u),x,T(y * z,u)) = a(T(x,u),y,z). [hyper(11211,a,11276,a),flip(a)]. 11279 L(T(x \ R(x,y,z),u),x,y * z) = a(T(x,u),y,z). [hyper(57,a,9843,a(flip),b,11277,a)]. 11281 a(T(x,y),z,u) = T(a(x,z,u),y). [hyper(57,a,6064,a(flip),b,11279,a),flip(a)]. 11282 a(T(x,y \ z),u,y) = T(a(x,u,y),z). [hyper(230,a,11242,a(flip),b,11281,a),flip(a)]. 11283 x * a(T(y,x),z,u) = a(y,z,u) * x. [para(11281(a,2),93(a,1,2))]. 11284 T(a(T(x,y \ 1),z,u),L(y,w,v5)) = L(a(x,z,u),w,K(v5,y)). [para(11281(a,2),7041(a,1,1))]. 11285 T(a(T(x,y),z,u) * (u * w),a(x,z,u)) = L(u,y,K(x,z)) * (w * a(x,z,u)). [para(11281(a,2),10713(a,1,1,1))]. 11286 a(T(x,y \ z),u,y) = a(T(x,z),u,y). [hyper(230,a,11281,a,b,11282,a),flip(a)]. 11287 a(T(x,L(y,z,u) * (y \ w)),v5,w) = a(L(x,u,K(y,z)),v5,w). [para(10983(a,1),11286(a,1,1)),flip(a)]. 11288 a(T(T(x,y \ 1),L(y,z,u)),w,v5) = L(a(x,w,v5),z,K(u,y)). [hyper(57,a,11281,a,b,11284,a)]. 11289 a(L(x,y,K(z,u)),w,v5) = L(a(x,w,v5),y,K(z,u)). [para(7041(a,1),11288(a,1,1))]. 11290 L(x,y,K(z,u)) * (w * a(z,u,x)) = (x * w) * a(T(z,y),u,x). [hyper(8582,a,11285,a),flip(a)]. 11291 L(x,y,K(z,u)) * (w * a(z,u,x)) = x * (w * a(T(z,y),u,x)). [hyper(230,a,10692,a(flip),b,11290,a),flip(a)]. 11292 L(a(x,y,z),u,z) * (z * w) = z * (w * a(T(x,w),y,z)). [hyper(57,a,10711,a,b,11291,a)]. 11293 L(a(x,y,z),u,z) * (z * w) = z * (a(x,y,z) * w). [para(11283(a,1),11292(a,2,2))]. 11294 a(x,y,z) * (z * u) = z * (a(x,y,z) * u). [para(1580(a,1),11293(a,1,1))]. 11295 a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u). [hyper(28,a,223,a,b,11294,a)]. 11296 ((x \ 1) \ a(y * a(z,x,x),x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(10493(a,1),11257(a,1,1,2))]. 11297 K(x,L((y * a(z,z \ 1,u)) \ w,u,a(z,1,y))) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). [hyper(57,a,10414,a(flip),b,10920,a)]. 11298 K(x,L((y * a(z,z \ 1,u)) \ w,u,1)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). [para(1623(a,1),11297(a,1,2,3))]. 11299 K(x,a(y,z,(y * z) \ 1) * (u \ w)) = K(x,(u * a(z,z \ 1,y)) \ w). [para(1279(a,1),11298(a,1,2)),flip(a)]. 11302 K(x,(y * a(z,z \ 1,u)) \ w) = K(x,a(z,z,u) * (y \ w)). [para(6580(a,1),11299(a,1,2,1)),flip(a)]. 11303 K(x,(y * a(z,z,u \ 1)) \ w) = K(x,a(z,z,u) * (y \ w)). [para(6584(a,1),11302(a,1,2,1,2))]. 11304 K(x,y \ (a(z,z,u \ 1) \ w)) = K(x,a(z,z,u) * (y \ w)). [hyper(10548,a,11303,a)]. 11305 K(x,y \ (a(z,u,u) \ w)) = K(x,a(u,u,z) * (y \ w)). [para(10425(a,1),11304(a,1,2,2,1))]. 11306 L((x * y) \ ((x * (y * z)) / z),((x * y) * z) \ (x * (y * z)),(x * y) * z) = a(x,y,z) \ 1. [para(3056(a,1),11057(a,1,1))]. 11307 x / L(a(y,y,z),y,L(y,y,T(z * y,u)) \ x) = (x / L(y,y,T(z * y,u))) * y. [para(10307(a,1),11063(a,1,2,1))]. 11308 x / L(a(y,y,z),y,L(y,y,z * y) \ x) = (x / L(y,y,T(z * y,u))) * y. [para(7055(a,1),11307(a,1,2,3,1))]. 11311 x / L(a(y,y,z),y,L(y,y,z) \ x) = (x / L(y,y,T(z * y,u))) * y. [para(11060(a,1),11308(a,1,2,3,1))]. 11312 x / a(y,y,L(z,y,L(y,y,z) \ x)) = (x / L(y,y,T(z * y,u))) * y. [para(7198(a,2),11311(a,1,2))]. 11313 a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,T(y * x,u))) * x. [hyper(6741,a,11312,a)]. 11314 a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,y * x)) * x. [para(92(a,1),11313(a,2,1,2,3))]. 11315 a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,y)) * x. [para(11060(a,1),11314(a,2,1,2))]. 11316 (x / L(y,y,z)) * y = y * (L(y,y,z) \ x). [hyper(57,a,10341,a(flip),b,11315,a),flip(a)]. 11317 x * (L(x,x,y) \ z) = a(y,x,x) * z. [hyper(57,a,10796,a(flip),b,11316,a),flip(a)]. 11318 a(x,y,y) * (y \ z) = L(y,y,x) \ z. [hyper(1397,a,11317,a),flip(a)]. 11319 a(x \ y,y,y) * z = a(x,y,y) \ z. [hyper(57,a,10749,a(flip),b,11317,a),flip(a)]. 11320 (x \ y) * a(z,x,x) = L(x,x,z) \ y. [hyper(4891,a,11318,a)]. 11321 a(x,x \ y,x \ y) * ((x \ y) \ z) = (y \ (x * ((x \ y) * (x \ y)))) \ z. [para(82(a,2),11318(a,2,1))]. 11322 a(x,y,y) * ((y \ z) * x) = (L(y,y,x) \ z) * x. [para(11318(a,1),6096(a,1,1)),flip(a)]. 11323 L(x,x,y \ x) \ z = a(x,x,y) * (x \ z). [para(10430(a,1),11318(a,1,1)),flip(a)]. 11324 a(x,y,y) \ z = a(y,y,x) * z. [para(10430(a,1),11319(a,1,1)),flip(a)]. 11325 x / a(y,z,z) = a(z,z,y) * x. [hyper(4890,a,11324,a)]. 11326 a(x,x,y) * (a(y,x,x) * z) = z. [hyper(241,a,11324,a),flip(a)]. 11327 a(x,x,y) \ z = a(y,x,x) * z. [hyper(240,a,11324,a),flip(a)]. 11328 a(x,x,L(y,y,L(y,x,x) \ z)) * z = y * (L(y,x,x) \ z). [hyper(57,a,10574,a(flip),b,11324,a),flip(a)]. 11329 (a(x,x,y) * z) * a(y,x,x) = z. [para(11324(a,1),4886(a,1,1))]. 11330 a(a(x,x,y) * z,a(y,x,x),a(y,x,x) \ u) = u \ ((z / a(y,x,x)) \ (z * (a(y,x,x) \ u))). [para(11324(a,1),6190(a,1,1))]. 11331 a(a(x,x,y) * z,a(y,x,x),a(y,x,x) \ u) = ((z / a(y,x,x)) * u) \ (z * (a(y,x,x) \ u)). [para(11324(a,1),6230(a,1,1))]. 11332 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(z \ (a(y,x,x) \ z),u,w). [para(11324(a,1),10644(a,1,1))]. 11333 a((x * y) \ (a(z,z,u) * (x * y)),x,y) = (u * (z * ((u * z) \ 1))) * R(a(u,z,(u * z) \ 1),x,y). [para(11324(a,1),10486(a,1,1,2))]. 11334 a(x,y,y) * (a(z,z,u) * K(w,a(y,y,x) * a(u,z,z))) = T(a(x,y,y) * a(z,z,u),w). [para(11324(a,1),11175(a,1,2,2,2))]. 11335 K(x,y \ (a(z,z,u) * w)) = K(x,a(z,z,u) * (y \ w)). [para(11324(a,1),11305(a,1,2,2))]. 11336 a(x,x,y) * (z * a(y,x,x)) = z. [hyper(235,a,11325,a),flip(a)]. 11337 ((x * y) \ (a(z,z,u) * (x * (y * a(u,z,z))))) \ 1 = a(a(u,z,z) \ 1,y \ 1,x \ 1). [para(11325(a,1),5928(a,1,1,2))]. 11338 a(x,x,y) \ z != u | a(y,x,x) * z = u. [para(11326(a,1),241(a,1,2))]. 11339 a(x,y,y) \ z != u | a(y,y,x) * z = u. [para(11326(a,1),242(a,1))]. 11340 x / a(y,y,z) = a(z,y,y) * x. [hyper(6744,a,11327,a)]. 11341 a((x * y) \ (a(z,u,u) * (x * y)),x,y) = R(a(u,u,z) \ 1,x,y) * a(u,u,z). [para(11327(a,1),6754(a,1,1,2))]. 11342 L(a(x,y,y) * a(y,y,L(x,z,u)),w,a(y,y,x)) = a(y,y,x) \ a(y,y,L(x,z,u)). [para(11327(a,1),7320(a,1,1))]. 11343 (x * R(x \ (a(y,z,z) * x),u,w)) * a(z,z,y) = (a(z,z,y) * R(a(z,z,y) \ 1,u,w)) * x. [para(11327(a,1),6755(a,1,1,2,1,2))]. 11344 T(x,L(y,z,z \ 1) * (a(y,z,z) * u)) = T(x,y * u). [para(11327(a,1),10815(a,1,2,2))]. 11345 a(L(x,x,y) \ z,u,x) = a(z * a(y,x,x),u,x). [para(11320(a,1),10703(a,1,1))]. 11346 a(x * a(y,z,z),z,z) = a(x,z,z). [hyper(10521,a,11345,a),flip(a)]. 11347 ((x \ 1) \ a(y,x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(11346(a,1),11296(a,1,1,2))]. 11348 K(x,y \ (z * a(u,u,w))) = K(x,a(u,u,w) * (y \ z)). [para(6739(a,1),11335(a,1,2,2))]. 11349 T(x,a(y,z,z) * (L(y,z,z \ 1) * u)) = T(x,y * u). [para(10731(a,1),11344(a,1,2))]. 11350 a(x,x,L(y,y,z)) * z = y * (L(y,x,x) \ z). [para(11082(a,1),11328(a,1,1,3))]. 11351 x * (L(x,y,y) \ a(x,z,u)) = a(y,y,x) * a(x,z,u). [para(6098(a,1),11350(a,1,1,3)),flip(a)]. 11352 a(x,x,L(L(y,z,u) \ 1,L(y,z,u) \ 1,L(y \ 1,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). [para(6366(a,1),11350(a,2,2))]. 11354 x \ (a(y,y,x) * a(x,z,u)) = L(x,y,y) \ a(x,z,u). [hyper(101,a,11351,a)]. 11355 (x * a(y,x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(10276(a,1),11347(a,1,1))]. 11357 L(x,x,y \ x) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(10448(a,2),11355(a,1,1))]. 11358 a(x,x,y) * (x \ (y * a(z,x,x))) = L(x \ 1,x,z) * y. [hyper(57,a,11323,a(flip),b,11357,a)]. 11359 a(x,x,y) * ((x \ y) * a(z,x,x)) = L(x \ 1,x,z) * y. [para(10693(a,1),11358(a,1,2))]. 11360 a(x,x,y) * (L(x,x,z) \ y) = L(x \ 1,x,z) * y. [para(11320(a,1),11359(a,1,2))]. 11361 (x \ (y * ((y \ x) * (y \ x)))) \ z = a(x,x \ y,y) * ((y \ x) \ z). [para(11075(a,1),11321(a,1,1)),flip(a)]. 11362 a(x,x \ y,y) * ((y \ x) \ z) = (x \ (x * ((x \ y) \ 1))) \ z. [para(11058(a,1),11361(a,1,1,2)),flip(a)]. 11363 a(x,x \ y,y) * ((y \ x) \ z) = ((x \ y) \ 1) \ z. [para(4(a,1),11362(a,2,1))]. 11364 L(x \ y,y \ x,z) * z = ((x \ y) \ 1) \ z. [hyper(57,a,11073,a,b,11363,a)]. 11366 L(((x \ y) \ 1) \ 1,(x \ y) \ 1,z) = L(x \ y,y \ x,T(z,u)). [hyper(29,a,4929,a,b,11364,a)]. 11367 L(x \ y,(x \ y) \ 1,z) = L(x \ y,y \ x,T(z,u)). [para(614(a,1),11366(a,1,1))]. 11368 L(x \ y,y \ x,T(z,u)) = L(x \ y,x \ y,z \ 1). [hyper(11087,a,11367,a),flip(a)]. 11369 L(x \ y,x \ y,z \ 1) = L(x \ y,y \ x,z). [hyper(8491,a,11368,a),flip(a)]. 11370 L(x \ y,x \ y,L(z \ 1,u,u)) = L(x \ y,y \ x,L(z,u,u)). [para(10553(a,2),11369(a,1,3))]. 11371 a(T(a(x,y,y),z * u),z,u) = R(a(y,y,x) \ 1,z,u) * a(y,y,x). [para(17(a,2),11341(a,1,1))]. 11372 R(a(x,x,y) \ 1,z,u) * a(x,x,y) = a(a(y,x,x),z,u). [hyper(57,a,6077,a(flip),b,11371,a),flip(a)]. 11374 R(a(x,y,y),z,u) * a(y,y,x) = a(a(x,y,y),z,u). [para(10439(a,1),11372(a,1,1,1))]. 11375 L(a(x,y,y) * a(y,y,L(x,z,u)),w,a(y,y,x)) = a(x,y,y) * a(y,y,L(x,z,u)). [hyper(230,a,11327,a(flip),b,11342,a),flip(a)]. 11376 R((x / a(y,y,L(z,u,w))) / a(z,y,y),a(z,y,y),a(y,y,L(z,u,w))) = x / L(a(z,y,y) * a(y,y,L(z,u,w)),v5,a(y,y,z)). [para(11375(a,2),225(a,2,2))]. 11377 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) != v5 | a(x,x,y) * (z * (a(y,x,x) * a(x,x,L(y,u,w)))) = v5. [para(11375(a,1),219(a,1,2))]. 11378 x / L(T(a(y,z,z) * a(z,z,L(y,u,w)),x),v5,a(z,z,y)) = (a(y,z,z) * a(z,z,L(y,u,w))) \ x. [para(11375(a,1),724(a,2,1))]. 11379 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(z \ (a(x,x,y) * z),u,w). [para(11324(a,1),11332(a,2,2,1,2))]. 11380 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(T(a(x,x,y),z),u,w). [para(17(a,2),11379(a,2,2,1))]. 11381 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(a(x,x,y),u,w). [para(6735(a,1),11380(a,2,2,1))]. 11383 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * a(x,x,R(y,u,w)). [para(7225(a,2),11381(a,2,2))]. 11384 L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = (y * a(y,z,u)) \ (x \ ((x * y) * a(y,z,u))). [para(10397(a,1),11103(a,2,2))]. 11385 L(x,y \ 1,(y \ 1) \ R(y \ 1,z \ 1,u \ 1)) = L(x,L(y,z,u) \ y,y \ 1). [para(6392(a,1),11221(a,2,2))]. 11386 L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) = L(x,L(y,z,u) \ y,y \ 1). [para(5717(a,1),11385(a,1,3,2))]. 11387 L(x,L(y,z,u) \ y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). [para(6392(a,1),11386(a,1,3)),flip(a)]. 11388 L((x * y) \ ((x * (y * z)) / z),(x * y) \ ((x * (y * z)) / z),(x * y) * z) = a(x,y,z) \ 1. [para(3056(a,1),11306(a,1,2))]. 11389 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((z / a(y,x,x)) \ (z * (a(y,x,x) \ u))). [para(11324(a,1),11330(a,1,3))]. 11390 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((z / a(y,x,x)) * u) \ (z * (a(y,x,x) \ u)). [para(11324(a,1),11331(a,1,3))]. 11391 (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * R(T(a(y,x,x),w),z,u)) * a(x,x,y). [para(17(a,2),11343(a,1,1,2,1)),flip(a)]. 11392 (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * R(a(y,x,x),z,u)) * a(x,x,y). [para(4881(a,1),11391(a,2,1,2,1))]. 11394 L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = a(x,y,a(y,z,u)). [hyper(230,a,6131,a,b,11384,a),flip(a)]. 11395 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((a(x,x,y) * z) \ (z * (a(y,x,x) \ u))). [para(11325(a,1),11389(a,2,2,1))]. 11396 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((a(x,x,y) * z) * u) \ (z * (a(y,x,x) \ u)). [para(11325(a,1),11390(a,2,1,1))]. 11397 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((a(x,x,y) * z) \ (z * (a(x,x,y) * u))). [para(11324(a,1),11395(a,2,2,2,2))]. 11398 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)). [para(11324(a,1),11396(a,2,2,2))]. 11399 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(K(z,a(x,x,y)) * u,a(x,x,y),z). [para(2821(a,1),11397(a,2,2))]. 11400 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(a(z,x,K(y,x)) * u,a(x,x,y),z). [para(6690(a,2),11399(a,2,2,1,1))]. 11401 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(1 * u,a(x,x,y),z). [para(2523(a,1),11400(a,2,2,1,1))]. 11402 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(u,a(x,x,y),z). [para(2(a,1),11401(a,2,2,1))]. 11404 a(T(a(x,x,y),z * u),z,u) = (y * (x * ((y * x) \ 1))) * R(a(y,x,(y * x) \ 1),z,u). [para(17(a,2),11333(a,1,1))]. 11405 (x * (y * ((x * y) \ 1))) * R(a(x,y,(x * y) \ 1),z,u) = a(a(y,y,x),z,u). [hyper(57,a,6077,a(flip),b,11404,a),flip(a)]. 11407 a(x,y,y) * R(a(x,y,(x * y) \ 1),z,u) = a(a(y,y,x),z,u). [para(10438(a,1),11405(a,1,1))]. 11408 a(x,y,y) * R(a(y,y,x),z,u) = a(a(y,y,x),z,u). [para(6580(a,1),11407(a,1,2,1))]. 11409 R(a(x,x,y),z,u) * a(y,x,x) = a(a(x,x,y),z,u). [hyper(4891,a,11408,a)]. 11410 (R(a(x,x,y),z,u) \ 1) * a(x,x,y) = a(a(x,x,y),z,u) \ 1. [para(11408(a,1),10455(a,1,1)),flip(a)]. 11411 a((x * y) \ (L(a(z,u,u),w,v5) \ (x * y)),x,y) = L(a(a(u,u,z),x,y),w,v5). [para(11409(a,1),10470(a,1,1)),flip(a)]. 11412 L(x,K(y,x) * z,L(u,K(y,x),z * x)) = ((u * K(y,x)) * z) \ ((u * K(y,x)) * (z * x)). [para(10960(a,1),10973(a,1,1)),flip(a)]. 11413 L(x,K(y,x) * z,L(u,K(y,x),z * x)) = L(x,z,u * K(y,x)). [hyper(230,a,13,a,b,11412,a),flip(a)]. 11414 L(x,K(y,x) * z,L(u,K(x,z),y)) = L(x,z,u * K(y,x)). [para(10972(a,1),11413(a,1,3))]. 11415 L(x,K(y,x) * z,L(u,z,K(x,y))) = L(x,z,u * K(y,x)). [para(10949(a,1),11414(a,1,3))]. 11416 L(x,K(y,x) * z,u) = L(x,z,u * K(y,x)). [hyper(57,a,10207,a(flip),b,11415,a)]. 11418 L(x,y,z * K(u,x)) = L(x,y,z). [hyper(57,a,5294,a(flip),b,11416,a),flip(a)]. 11420 L(x,y,z \ T(u,x)) = L(x,y,z \ u). [para(553(a,1),11418(a,1,3))]. 11421 L(x,x,(y \ T(x,z)) \ 1) * u = L(x,x,y) * u. [para(11418(a,1),10335(a,2,1))]. 11422 L(x,y,z \ (u / x)) = L(x,y,z \ (x \ u)). [para(95(a,1),11420(a,1,3,2)),flip(a)]. 11423 a(x \ T(y,z),y,y) * u = L(y,y,x) * (y \ u). [hyper(57,a,10761,a(flip),b,11421,a)]. 11425 a(x \ y,y,y) * z = L(y,y,x) * (y \ z). [para(92(a,1),11423(a,1,1,1,2))]. 11426 L(x,x,y) * (x \ z) = a(x,x,y) * z. [para(10430(a,1),11425(a,1,1)),flip(a)]. 11427 x * (a(x,x,y) * z) = L(x,x,y) * z. [para(11426(a,1),1378(a,1,2))]. 11428 a(x,x,L(y,x,z)) = z \ (a(x,x,y) * z). [para(11426(a,1),10322(a,1,2)),flip(a)]. 11429 (L(x,x,y) * z) / 1 = x * (a(x,x,y) * z). [hyper(230,a,67,a,b,11427,a)]. 11430 a(x,x,L(y,x,z)) = T(a(x,x,y),z). [hyper(230,a,17,a,b,11428,a),flip(a)]. 11431 a(x,x,L(y,x,z)) = a(x,x,y). [hyper(230,a,6735,a(flip),b,11430,a),flip(a)]. 11433 a(x,x,L(L(y,x,z),u,w)) = a(x,x,L(y,u,w)). [para(25(a,1),11431(a,1,3))]. 11435 x * a(x,x,L(y,x,z)) = L(x,x,y). [para(11431(a,2),10300(a,1,2))]. 11436 a(x,a(x,x,y),z) = 1. [hyper(10334,a,11429,a)]. 11437 L(x,a(y,y,z),y) = x. [hyper(46,a,11436,a)]. 11439 L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x,x,v5),y,z). [para(614(a,1),11056(a,2,2,1,3))]. 11440 L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,v5). [hyper(230,a,11053,a(flip),b,11439,a),flip(a)]. 11441 L(x \ L(x,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,v5). [para(1214(a,1),11440(a,1,1))]. 11442 x / L(y \ L(y,z,u),y,x) = (x / L(y,z,u)) * y. [para(11441(a,1),4983(a,1,2))]. 11443 a(x,x \ L(x,y,z),L(x,u,w) \ v5) = x * (L(x,y,z) \ L(x \ L(x,y,z),x,v5)). [para(11441(a,1),9908(a,1,2,2)),flip(a)]. 11444 x * (L(y \ L(y,z,u),y,x) / x) = x / ((x / L(y,z,u)) * y). [para(11442(a,1),756(a,1,2)),flip(a)]. 11445 x / (x * L(y \ L(y,z,u),y,x)) = ((x / L(y,z,u)) * y) / x. [para(11442(a,1),2315(a,1,1)),flip(a)]. 11446 ((x / y) * L(y,z,u)) \ x = x \ ((x / L(y,z,u)) * y). [para(11442(a,1),3054(a,1,2)),flip(a)]. 11447 (x / y) \ (x / L(y,z,u)) = x \ ((x / L(y,z,u)) * y). [hyper(57,a,5986,a(flip),b,11446,a)]. 11448 T(x \ ((x / L(y,z,u)) * y),x) = (y \ x) \ (L(y,z,u) \ x). [para(11446(a,1),9905(a,1,1))]. 11449 T((x / y) \ (x / L(y,z,u)),w) = x \ ((x / L(y,z,T(u,w))) * y). [hyper(57,a,8891,a,b,11447,a)]. 11450 (x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)). [hyper(9925,a,11448,a),flip(a)]. 11451 (a(x,x,y) \ ((x \ 1) * y)) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)) = a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))). [hyper(230,a,7344,a(flip),b,11450,a),flip(a)]. 11452 L(x * ((y \ L(y,z,u)) / x),y,x) = x / ((x / L(y,z,u)) * y). [hyper(939,a,11444,a)]. 11453 ((x / L(y,z,u)) * y) / x = x / ((x / y) * L(y,z,u)). [para(3047(a,1),11445(a,1,2)),flip(a)]. 11454 (((x * y) / L(z,y,x)) * z) / (x * y) = (x * y) / ((x * (y * z)) / z). [para(1361(a,1),11453(a,2,2))]. 11455 (x * L(y,z,u)) / (x * y) = x / ((x / L(y,z,u)) * y). [hyper(57,a,11030,a(flip),b,11452,a)]. 11456 x / ((x / L(y,z,T(u,x))) * y) = x \ ((x / y) * L(y,z,u)). [hyper(57,a,11139,a(flip),b,11455,a),flip(a)]. 11457 T(x \ ((x / L(y,z,u)) * y),w) = x \ ((x / L(y,z,T(u,w))) * y). [para(11447(a,1),11449(a,1,1))]. 11458 (x / L(y,z,T(u,x))) * y = y * (L(y,z,u) \ x). [hyper(9927,a,11457,a),flip(a)]. 11459 x / (y * (L(y,z,u) \ x)) = x \ ((x / y) * L(y,z,u)). [para(11458(a,1),11456(a,1,2))]. 11460 T(x \ ((x / y) * L(y,x,z)),u) \ x = x * T(a(z,x,L(y,x,z)),u). [para(11459(a,1),6179(a,1,1,1))]. 11461 ((x * y) * a(x,y,z)) / (x * y) = (x * y) / ((x * (y * z)) / z). [para(6042(a,1),11454(a,1,1))]. 11462 (x * y) / ((x * (y * z)) / z) = (x * y) * (a(x,y,z) / (x * y)). [hyper(676,a,11461,a),flip(a)]. 11463 (x * y) / ((x * (y * z)) / z) = (x * y) * ((x * y) \ a(x,y,z)). [para(10185(a,1),11462(a,2,2))]. 11464 a(x,y,z) = (x * y) / ((x * (y * z)) / z). [hyper(230,a,5,a(flip),b,11463,a)]. 11465 (x * y) / ((x * (y * z)) / z) != u | a(x,y,z) = u. [para(11463(a,2),203(a,1))]. 11467 a(x,y,z) \ (x * y) = (x * (y * z)) / z. [hyper(153,a,11464,a(flip))]. 11468 (x * a(y,z,x)) / ((a(y,z,x) * (x * u)) / u) = a(a(y,z,x),x,u). [para(3356(a,1),11464(a,2,1)),flip(a)]. 11469 a(x / y,y,x) \ ((x / y) * y) = L(x,y,y \ x) * K(x,x). [hyper(230,a,5190,a,b,11467,a),flip(a)]. 11470 x \ (a(y,z,u) \ (y * z)) = x \ ((y * (z * u)) / u). [hyper(56,a,11467,a)]. 11471 a(x,y,L(y,z,u) \ 1) \ (x * y) = (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1). [para(1383(a,1),11467(a,2,1,2))]. 11472 L(x \ L(x,y,z),x,z * y) = (z * y) \ (a(z,y,x) \ (z * y)). [para(11467(a,2),3050(a,2,2))]. 11473 T(x * y,(x * (y * z)) / z) = L(x * y,K(z,x),y). [para(11467(a,1),10953(a,1,2))]. 11474 x \ (a(y \ z,y,u) \ ((z / y) * y)) = x \ (((z / y) * (y * u)) / u). [para(6189(a,1),11470(a,1,2,1))]. 11475 T(x * y,(x * (y * z)) / z) = x * y. [hyper(230,a,10977,a(flip),b,11473,a),flip(a)]. 11477 (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). [para(11475(a,1),677(a,1,1))]. 11478 a(x \ y,x,y) \ ((y / x) * x) = L(y,x,x \ y) * K(y,y). [para(6189(a,1),11469(a,1,1))]. 11479 a(x,y,z) = ((x * (y * z)) / z) \ (x * y). [hyper(11465,a,11477,a)]. 11480 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = (R(x,y,z) * y) / (x * y). [para(224(a,1),11477(a,1,2)),flip(a)]. 11481 ((x * (y * z)) / z) \ (x * y) != u | a(x,y,z) = u. [para(11477(a,1),11465(a,1))]. 11482 L(L(x,y,z) \ x,x,y * z) = (((x \ 1) * ((y \ 1) * (z \ 1))) / (z \ 1)) \ ((x \ 1) * (y \ 1)). [hyper(11114,a,11479,a)]. 11484 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). [para(5(a,1),11479(a,2,1,1,2)),flip(a)]. 11485 ((x * y) / (z \ T(x,y))) \ (y * z) = a(y,z,z \ T(x,y)). [para(183(a,1),11479(a,2,1,1)),flip(a)]. 11486 (((x * y) * z) / (y * z)) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). [para(5114(a,1),11479(a,2,1,1)),flip(a)]. 11487 a(x,y,T(y \ L(y,z,u),w)) = ((x * L(y,z,u)) / (y \ L(y,z,u))) \ (x * y). [para(9463(a,1),11479(a,2,1))]. 11488 K(x,L(y,(z * u) \ ((z * (u * w)) / w),v5)) = K(x,L(y,v5,a(z,u,w))). [para(11479(a,2),10168(a,2,2,3))]. 11490 ((x * y) / (z \ y)) \ (x * z) != u | a(x,z,z \ y) = u. [para(5(a,1),11481(a,1,1,1,2))]. 11491 (x \ (y * (z * x))) \ T(y * z,x) != u | a(y,z,x) = u. [para(5320(a,2),11481(a,1))]. 11492 (a(x,x,y) * (z * (u * a(y,x,x)))) \ (z * u) != w | a(z,u,a(y,x,x)) = w. [para(11325(a,1),11481(a,1,1))]. 11493 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ T(y,x)). [para(4997(a,1),11485(a,1,1))]. 11494 a(x,y,y \ T(z,x)) = a(x,y,y \ z). [hyper(11490,a,11493,a),flip(a)]. 11495 a(x,y,y \ (x \ z)) = a(x,y,y \ z). [hyper(57,a,6571,a(flip),b,11494,a)]. 11496 a(x,y,y) \ ((x / y) * y) = L(x,y,y \ x) * K(x,x). [para(11100(a,1),11478(a,1,1))]. 11497 L(x,y,y \ x) * K(x,x) = a(x,y,y) \ x. [para(7(a,1),11496(a,1,2)),flip(a)]. 11498 L(x,y,y \ x) * K(x,x) = a(y,y,x) * x. [hyper(230,a,11324,a(flip),b,11497,a),flip(a)]. 11499 L(x,y,y \ x) * K(x,x) = x * a(y,y,x). [hyper(230,a,6739,a(flip),b,11498,a),flip(a)]. 11500 L(x,y,y \ x) = x * a(y,y,x). [hyper(168,a,11499,a)]. 11502 x \ L(x,y,y \ x) = a(y,y,x). [hyper(101,a,11500,a(flip))]. 11503 L(x,y,y \ x) \ (a(y,y,x) * z) = L(x \ z,x,a(y,y,x)). [para(11500(a,2),3358(a,1,1))]. 11504 x \ L(x,y,y \ x) = a(x,y,y \ 1). [hyper(230,a,6577,a,b,11502,a),flip(a)]. 11505 L(x,y,y \ 1) = L(x,y,y \ x). [hyper(32,a,6581,a,b,11502,a)]. 11506 a(x,x \ (y \ x),x * y) = a(x,y,y \ 1). [hyper(57,a,6241,a,b,11504,a)]. 11507 a(x,y,x * y) \ 1 = a(x,y,y \ 1). [hyper(57,a,6983,a(flip),b,11506,a)]. 11508 (x * y) \ L(x * y,y,x) = a(x,y,y \ 1). [hyper(5916,a,11507,a)]. 11509 (x * y) \ L(x * y,y,x) = a(y,y,x). [hyper(230,a,6577,a(flip),b,11508,a),flip(a)]. 11510 T((a(x,x,y) * z) / L(y,x,x \ y),a(x,x,y) * z) = L(y \ z,y,a(x,x,y)). [hyper(790,a,11503,a)]. 11511 L(L(x,y,z) \ x,x,z * y) \ 1 = (z * y) \ (a(z,y,x) \ (z * y)). [hyper(11105,a,11472,a)]. 11512 L(L(x,y,z) \ L(L(x,y,z),x,u),L(x,y,z),u * x) = (u * x) \ ((u * x) / a(u,x,L(x,y,z))). [para(10860(a,2),11472(a,2,2))]. 11513 (x * a(y,z,x)) / ((x * (a(y,z,x) * u)) / u) = a(a(y,z,x),x,u). [para(11294(a,1),11468(a,1,2,1))]. 11514 a(a(x,y,z),z,u) = a(z,a(x,y,z),u). [hyper(11465,a,11513,a),flip(a)]. 11515 x \ (a(y \ z,y,u) \ z) = x \ (((z / y) * (y * u)) / u). [para(7(a,1),11474(a,1,2,2))]. 11516 x \ (a(y \ z,y,T(y \ L(y,u,w),v5)) \ z) = x \ (((z / y) * L(y,u,T(w,v5))) / T(y \ L(y,u,w),v5)). [para(8591(a,1),11515(a,2,2,1,2))]. 11517 R(x,y,z) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). [para(15(a,2),11486(a,1,1))]. 11518 R(x,y,z) \ (x * a(x,y,z)) = a(a(x,y,z),x,y * z). [para(1458(a,1),11517(a,1,2))]. 11519 x * (R(x,y,z) \ a(x,y,z)) = a(a(x,y,z),x,y * z). [hyper(1130,a,11518,a)]. 11520 x * (R(x,y,z) \ a(x,y,z)) = a(x,a(x,y,z),y * z). [hyper(230,a,10253,a(flip),b,11519,a),flip(a)]. 11521 T(a(x,a(x,y,z),y * z),u) * R(x,y,z) = x * a(x,y,z). [para(11520(a,1),10850(a,1,1,1))]. 11522 a(x,a(x,y,z),y * z) * R(x,y,z) = x * a(x,y,z). [hyper(57,a,3708,a(flip),b,11521,a)]. 11523 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * K(a(y \ 1,z \ 1,u \ 1),L(x,u * (z * y),a(u,z,y))). [para(11488(a,1),6381(a,1,2)),flip(a)]. 11524 a(x \ 1,y \ 1,z \ 1) \ 1 = (z * y) \ (a(z,y,x) \ (z * y)). [para(11110(a,1),11511(a,1,1))]. 11525 (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)) = L(a(x,y,z),y,x) \ 1. [para(11223(a,1),11524(a,1,1)),flip(a)]. 11526 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = y \ ((y / x) * R(x,y,z)). [hyper(230,a,3156,a(flip),b,11480,a),flip(a)]. 11527 a(R(x,y,z),y,z) = y \ ((y / x) * R(x,y,z)). [hyper(11481,a,11526,a)]. 11528 (x * y) \ (R(x,y,z) * y) = y \ ((y / x) * R(x,y,z)). [para(224(a,1),11526(a,1,1))]. 11529 (x / y) * R(y,x,z) = x * a(R(y,x,z),x,z). [hyper(110,a,11527,a(flip)),flip(a)]. 11530 R(x,y,z) * (x \ y) = (y / x) * R(x,y,z). [hyper(3280,a,11528,a)]. 11532 x * ((y / x) * R(x,y,z)) = R(x,y,z) * y. [para(11530(a,1),1120(a,1,2))]. 11533 T(x,y) * ((y / T(x,y)) * R(T(x,y),y,z)) = T(R(x,y,z) * y,y). [hyper(230,a,656,a,b,11532,a),flip(a)]. 11534 T(x,y) * ((z / x) * R(x,z,u)) = K(x,y) * (R(x,z,u) * z). [para(11532(a,1),1778(a,1,2)),flip(a)]. 11535 T(x,y) * (z * a(R(x,z,u),z,u)) = K(x,y) * (R(x,z,u) * z). [para(11529(a,1),11534(a,1,2))]. 11536 T(x,y) * ((x \ y) * R(T(x,y),y,z)) = T(R(x,y,z) * y,y). [para(697(a,1),11533(a,1,2,1))]. 11537 T(x,y) * (R(x,y,z) * (x \ y)) = T(R(x,y,z) * y,y). [para(699(a,1),11536(a,1,2))]. 11538 T(x,y) * ((y / x) * R(x,y,z)) = T(R(x,y,z) * y,y). [para(11530(a,1),11537(a,1,2))]. 11539 K(x,y) * (R(x,y,z) * y) = T(R(x,y,z) * y,y). [hyper(57,a,11534,a(flip),b,11538,a)]. 11540 a(x,y,T(y \ L(y,z,u),w)) = a(x,y,y \ L(y,z,u)). [hyper(230,a,11484,a(flip),b,11487,a),flip(a)]. 11542 T(a(x,x,y) * (z / L(y,x,x \ y)),a(x,x,y) * z) = L(y \ z,y,a(x,x,y)). [para(10278(a,1),11510(a,1,1))]. 11543 a(x,x \ L(x,y,z),L(x,u,w) \ v5) = a(x,x \ L(x,y,z),v5). [hyper(230,a,9908,a(flip),b,11443,a),flip(a)]. 11544 L(L(x,y,z) \ x,x,y * z) = (((x \ 1) * ((z * y) \ 1)) / (z \ 1)) \ ((x \ 1) * (y \ 1)). [para(5585(a,1),11482(a,2,1,1,2))]. 11545 L(L(x,y,z) \ x,x,y * z) != u | a(x \ 1,y \ 1,z \ 1) = u. [para(11482(a,2),11481(a,1))]. 11546 L(x \ L(x,y,z),x,y * z) \ 1 != u | a(x \ 1,y \ 1,z \ 1) = u. [para(11106(a,2),11545(a,1))]. 11547 ((x * y) \ ((x * (y * z)) / z)) \ 1 != u | a(z \ 1,y \ 1,x \ 1) = u. [para(11101(a,1),11546(a,1,1))]. 11550 L(L(x,y,z) \ x,x,y * z) = ((((z * y) * x) \ 1) / (z \ 1)) \ ((x \ 1) * (y \ 1)). [para(5585(a,1),11544(a,2,1,1))]. 11551 L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ 1) \ ((x \ 1) * (y \ 1)). [para(5627(a,1),11550(a,2,1))]. 11552 L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ 1) \ ((y * x) \ 1). [para(5585(a,1),11551(a,2,2))]. 11553 L(L(x,y,z) \ x,x,y * z) = ((y * x) / (z \ ((z * y) * x))) \ 1. [hyper(230,a,5605,a(flip),b,11552,a),flip(a)]. 11554 L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ (y * x)) \ 1. [para(7122(a,1),11553(a,2,1))]. 11555 ((x \ ((x * y) * z)) \ (y * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). [hyper(11545,a,11554,a),flip(a)]. 11556 L(a(x,y,z),a(x,y,z),y * z) = a(z \ 1,y \ 1,x \ 1). [hyper(11247,a,11555,a)]. 11557 (x \ ((x * y) * z)) \ (y * z) = (x * y) \ ((x * (y * z)) / z). [hyper(33,a,5928,a,b,11555,a),flip(a)]. 11558 L(a(x,y,z),a(x / z,y,z),y * z) = a(z \ 1,y \ 1,(x / z) \ 1). [para(6264(a,1),11556(a,1,1))]. 11559 (x * y) \ ((x * (y * T(z,x * y))) / T(z,x * y)) = (x \ (z * (x * y))) \ (y * T(z,x * y)). [para(93(a,1),11557(a,1,1,2)),flip(a)]. 11560 (x * y) \ ((x * (y * L(z,y,x))) / L(z,y,x)) = (y * z) \ (y * L(z,y,x)). [para(220(a,1),11557(a,1,1)),flip(a)]. 11561 (x \ ((x * (x \ L(x,y,z))) * u)) \ ((x \ L(x,y,z)) * u) = (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u). [para(6505(a,2),11557(a,2,2,1))]. 11562 L(a(x,y,z),a(x,y,z),y * z) = a(z \ 1,y \ 1,(x / z) \ 1). [para(6264(a,1),11558(a,1,2))]. 11563 a(x \ 1,y \ 1,(z / x) \ 1) = a(x \ 1,y \ 1,z \ 1). [hyper(57,a,11556,a(flip),b,11562,a),flip(a)]. 11564 a(x \ 1,y \ 1,(x \ z) \ 1) = a(x \ 1,y \ 1,z \ 1). [hyper(57,a,6670,a(flip),b,11563,a)]. 11565 a(x \ 1,y \ 1,(z * x) \ 1) = a(x \ 1,y \ 1,z \ 1). [para(6(a,1),11563(a,1,3,1)),flip(a)]. 11566 (x * y) \ ((x * (y * L(z,y,x))) / L(z,y,x)) = y \ ((y / z) * L(z,y,x)). [hyper(230,a,3041,a(flip),b,11560,a),flip(a)]. 11567 (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)) = y \ ((y / z) * L(z,y,x)). [hyper(57,a,11470,a,b,11566,a)]. 11568 L(a(x,y,z),y,x) \ 1 = y \ ((y / z) * L(z,y,x)). [hyper(57,a,11525,a(flip),b,11567,a)]. 11569 x \ ((x / y) * L(y,x,z)) = a(z,x,y) \ 1. [para(6103(a,1),11568(a,1,1)),flip(a)]. 11570 T(x \ ((x / y) * L(y,x,z)),u) = a(z,x,T(y,u)) \ 1. [hyper(6422,a,11569,a)]. 11572 x * T(a(y,x,L(z,x,y)),u) = T(a(y,x,z) \ 1,u) \ x. [para(11569(a,1),11460(a,1,1,1)),flip(a)]. 11573 T(a(x,y,z) \ 1,u) = a(x,y,T(z,u)) \ 1. [para(11569(a,1),11570(a,1,1))]. 11574 a(x,y,T(z,u)) = T(a(x,y,z),u). [hyper(1849,a,11573,a),flip(a)]. 11575 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(230,a,11281,a,b,11574,a)]. 11576 a(x,y,T(y,z)) = a(x,y,y). [hyper(230,a,4881,a(flip),b,11574,a),flip(a)]. 11578 a(x,y,L(y,z,K(u,w))) = a(x,y,y). [para(7019(a,2),11576(a,1,3))]. 11579 a(T(x,y),z,z \ L(z,u,w)) = a(x,z,z \ L(z,u,w)). [hyper(230,a,11540,a(flip),b,11575,a),flip(a)]. 11581 a(x \ K(y,x),z,z \ L(z,u,w)) = a(x \ 1,z,z \ L(z,u,w)). [para(1844(a,1),11579(a,1,1))]. 11582 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,(L(x \ L(x,y,z),x,u) \ L(x,y,z)) \ x) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [hyper(6309,a,11572,a)]. 11583 (x * y) \ ((L(z,y,x) * (x * y)) / T(z,x * y)) = (x \ (z * (x * y))) \ (y * T(z,x * y)). [para(353(a,1),11559(a,1,2,1))]. 11584 (x * y) \ (L(z,y,x) * ((x * y) / T(z,x * y))) = (x \ (z * (x * y))) \ (y * T(z,x * y)). [para(804(a,1),11583(a,1,2))]. 11585 (x \ (y * (x * z))) \ (z * T(y,x * z)) = (x * z) \ (L(y,z,x) * (y \ (x * z))). [para(697(a,1),11584(a,1,2,2)),flip(a)]. 11586 (x \ (y * (x * z))) \ (z * T(y,x * z)) = (x * z) \ ((x * (z * y)) / y). [para(5316(a,1),11585(a,2,2))]. 11587 (L(x,y,z) \ (u * (L(x,y,z) * x))) \ (x * T(u,L(x,y,z) * x)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). [para(1379(a,1),11586(a,2,2,1))]. 11588 (x \ (y * (x * (x \ L(x,z,u))))) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). [para(6505(a,2),11586(a,2,2,1))]. 11589 L(L(L(x,x,y) \ x,z,u) \ 1,L(x,z,u),y * x) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). [para(5906(a,1),11512(a,1,1))]. 11590 L(L(a(x,y,y),z,u) \ 1,L(y,z,u),x * y) = (x * y) \ ((x * y) / a(x,y,L(y,z,u))). [para(10462(a,1),11589(a,1,1,1,1))]. 11591 L(a(L(x,y,z),u,u) \ 1,L(u,y,z),x * u) = (x * u) \ ((x * u) / a(x,u,L(u,y,z))). [para(10510(a,2),11590(a,1,1,1))]. 11592 L(a(x,x,L(y,z,u)),L(x,z,u),y * x) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). [para(10451(a,1),11591(a,1,1))]. 11593 a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). [hyper(7200,a,11592,a)]. 11594 a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = (y * x) \ (a(y,x,L(x,z,u)) \ (y * x)). [para(10860(a,1),11593(a,2,2))]. 11595 L(a(x,y,z),a(x,y,z),(y * z) * x) = (T((x * y) * z,x) \ ((y * z) * x)) \ 1. [para(6560(a,2),11059(a,1,2))]. 11596 L(a(x,y,z),a(x,y,z),(y * z) * x) = ((x * y) \ ((x * (y * z)) / z)) \ 1. [para(5557(a,1),11595(a,2,1))]. 11597 L(a(x,y,z),a(x,y,z),(y * z) * x) = a(z \ 1,y \ 1,x \ 1). [hyper(230,a,5928,a(flip),b,11596,a),flip(a)]. 11598 L(a(x,y,z),a(x,y,z),(y * z) * x) != u | a(z \ 1,y \ 1,x \ 1) = u. [para(11596(a,2),11547(a,1))]. 11599 L(a(L(x,y,z),u,u),a(u,L(u \ 1,y,z),x),(L(u \ 1,y,z) * x) * u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). [para(10562(a,1),11597(a,1,1))]. 11600 L(a(L(x,y,z),u,u),a(u \ 1,L(u,y,z),x),(L(u,y,z) * x) * (u \ 1)) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). [para(10564(a,1),11597(a,1,1))]. 11601 x \ (a(y \ z,y,y \ L(y,u,w)) \ z) = x \ (((z / y) * L(y,u,T(w,v5))) / T(y \ L(y,u,w),v5)). [para(11540(a,1),11516(a,1,2,1))]. 11603 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x,y,z) \ 1) * (x \ L(x,y,z))) * x. [para(5654(a,1),11131(a,1,1,1,2)),flip(a)]. 11604 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x \ 1,y,z)) * (x \ L(x,y,z))) * x. [para(6036(a,2),11603(a,2,1,1))]. 11605 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x \ 1,y,z)) * x) * (x \ L(x,y,z)). [hyper(230,a,11130,a(flip),b,11604,a),flip(a)]. 11606 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = L(x * u,z,K(y,x)) * (x \ L(x,y,z)). [para(10214(a,1),11605(a,2,1))]. 11607 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (x \ L(x,y,z)) * (x * u). [hyper(230,a,11008,a(flip),b,11606,a),flip(a)]. 11608 (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = x * ((x \ L(x,y,z)) * u). [hyper(230,a,6505,a(flip),b,11607,a),flip(a)]. 11609 L(x,y,z) * R(u,x,x \ L(x,y,z)) = x * ((x \ L(x,y,z)) * u). [hyper(333,a,11608,a)]. 11610 R(x,y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(292,a,11608,a),flip(a)]. 11611 R(x,y,y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)). [hyper(230,a,6526,a(flip),b,11610,a),flip(a)]. 11612 (x \ 1) \ L(x \ 1,y,y \ L(y,z,u)) = x * R(x \ 1,y,y \ L(y,z,u)). [para(11611(a,2),859(a,2,2))]. 11613 R(x,y \ 1,(y \ L(y,z,u)) \ 1) \ x = x * R(x \ 1,y,y \ L(y,z,u)). [para(11611(a,2),5991(a,2,2))]. 11615 (L(x,y,z) * R((x * (x \ L(x,y,z))) \ (u * (x \ L(x,y,z))),x,x \ L(x,y,z))) / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))). [para(11609(a,2),3218(a,1,1))]. 11616 R(x,y \ 1,L(y,z,u) \ y) \ x = x * R(x \ 1,y,y \ L(y,z,u)). [para(5428(a,1),11613(a,1,1,3))]. 11617 L(x,y \ 1,(y \ L(y,z,u)) \ 1) = R(x,y \ 1,L(y,z,u) \ y). [hyper(5804,a,11616,a)]. 11618 R(x,y \ 1,L(y,z,u) \ y) = L(x,y \ 1,L(y,z,u) \ y). [para(5428(a,1),11617(a,1,3)),flip(a)]. 11619 (x \ (x * ((K(y,z) * x) \ u))) \ (((x \ 1) * K(z,y)) * u) = a(((x \ 1) * K(z,y)) * u,x,x \ 1). [para(11193(a,1),11189(a,1,1,2))]. 11620 a(((x \ 1) * K(y,z)) * u,x,x \ 1) = ((K(z,y) * x) \ u) \ (((x \ 1) * K(y,z)) * u). [para(4(a,1),11619(a,1,1)),flip(a)]. 11622 (L(x,y,z) \ (u * (x * L(x,y,z)))) \ (x * T(u,L(x,y,z) * x)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). [para(192(a,1),11587(a,1,1,2,2))]. 11623 (L(x,y,z) \ (u * (x * L(x,y,z)))) \ (x * T(u,x * L(x,y,z))) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). [para(192(a,1),11622(a,1,2,2,2))]. 11624 (L(x,y,z) \ (u * (x * L(x,y,z)))) \ T(u * x,L(x,y,z)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). [para(10386(a,1),11623(a,1,2))]. 11625 (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u) = a(u,x,L(x,y,z)). [hyper(11491,a,11624,a),flip(a)]. 11626 L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u)) = a(x,y,L(y,z,u)). [hyper(57,a,11102,a,b,11625,a)]. 11627 (x * L(x,y,z)) \ ((x * (L(x,y,z) * u)) / u) = a(u,x,L(x,y,z)). [para(192(a,1),11625(a,1,1))]. 11628 (x * a(x,y,L(y,z,u))) * a(y * L(y,z,u),x,L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u))) = x * (x \ L(x,y,L(y,z,u))). [para(11626(a,1),6128(a,1,1,2))]. 11629 a(x \ 1,L(y,z,u) \ 1,y \ 1) = a(x,y,L(y,z,u)) \ 1. [para(11627(a,1),5928(a,1,1)),flip(a)]. 11630 L(a(x,y,L(y,z,u)),(y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x),(y * L(y,z,u)) * x) = a(y,L(y,z,u),x) \ 1. [para(11627(a,1),11388(a,1,1))]. 11631 (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = a(L(y,z,u) \ 1,y \ 1,x \ 1) \ 1. [para(11627(a,2),11524(a,2,2,1)),flip(a)]. 11632 (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = (x \ (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u). [para(5(a,1),11561(a,1,1,2,1)),flip(a)]. 11634 (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u). [para(1377(a,1),11632(a,2,1))]. 11635 (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)). [hyper(230,a,6546,a(flip),b,11634,a),flip(a)]. 11636 L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),(L(u \ 1,y,z) * x) * u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). [para(10562(a,1),11599(a,1,2))]. 11637 L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),L(u \ 1,y,z) * (x * u)) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). [para(1165(a,1),11636(a,1,3))]. 11638 a(L(L(x,y,z),a(L(x,y,z),u,u),L(u \ 1,y,z) * (x * u)),u,u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). [hyper(10528,a,11637,a)]. 11639 a(x \ 1,L(y \ 1,z,u) \ 1,y \ 1) = a(L(x,z,u),y,y). [hyper(10770,a,11638,a),flip(a)]. 11641 L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),(L(u,y,z) * x) * (u \ 1)) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). [para(10564(a,1),11600(a,1,2))]. 11642 L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),L(u,y,z) * (x * (u \ 1))) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). [para(1175(a,1),11641(a,1,3))]. 11643 a(L(L(x,y,z),a(L(x,y,z),u,u),L(u,y,z) * (x * (u \ 1))),u,u) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). [hyper(10528,a,11642,a)]. 11644 a(x \ 1,L(y,z,u) \ 1,(y \ 1) \ 1) = a(L(x,z,u),y,y). [hyper(10770,a,11643,a),flip(a)]. 11646 L(a(x,y,L(y,z,u)),a(x,y,L(y,z,u)),(y * L(y,z,u)) * x) = a(y,L(y,z,u),x) \ 1. [para(11627(a,1),11630(a,1,2))]. 11647 a(L(x,y,z) \ 1,x \ 1,u \ 1) = a(x,L(x,y,z),u) \ 1. [hyper(11598,a,11646,a)]. 11648 (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = (a(y,L(y,z,u),x) \ 1) \ 1. [para(11647(a,1),11631(a,2,1))]. 11649 (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = a(y,L(y,z,u),x). [hyper(230,a,614,a(flip),b,11648,a),flip(a)]. 11650 (x * y) \ (a(x,y,L(y,z,u)) \ (x * y)) = a(y,L(y,z,u),x). [para(11627(a,1),11649(a,1,2,1))]. 11651 a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = a(x,L(x,z,u),y). [hyper(57,a,11594,a,b,11650,a)]. 11652 a(L(L(x,y,z) \ 1,L(u,y,z),x * u),u,u) = a(u,L(u,y,z),x). [hyper(10527,a,11651,a)]. 11653 a(L(L(x,y,z) \ 1,L(u,y,z),x),u,u) = a(u,L(u,y,z),x). [hyper(11136,a,11652,a)]. 11654 a(L(x,y,z) \ 1,u,u) = a(u,L(u,y,z),x). [para(1213(a,1),11653(a,1,1))]. 11655 a(x,L(x,y,z),u) = a(x,x,L(u,y,z)). [hyper(57,a,10440,a(flip),b,11654,a),flip(a)]. 11657 (L(x,y,z) * a(x,x,L(u,y,z))) \ 1 = L(x,y,z) \ (a(x,L(x,y,z),u) \ 1). [para(11655(a,1),6271(a,1,1,2))]. 11658 a(x,x,L(L(y,x,L(x,z,u)),z,u)) \ (x * y) = x * L(y,x,L(x,z,u)). [para(11655(a,1),6905(a,1,1))]. 11659 a(x,a(x,x,L(y,z,u)),L(x,z,u) * y) * R(x,L(x,z,u),y) = x * a(x,L(x,z,u),y). [para(11655(a,1),11522(a,1,1,2))]. 11660 L(a(x,x,L(y,z,u)),a(x,L(x,z,u),y),(L(x,z,u) * y) * x) = a(y \ 1,L(x,z,u) \ 1,x \ 1). [para(11655(a,1),11597(a,1,1))]. 11661 a(x,x,L(y,z,u)) \ (x * y) = x * L(y,x,L(x,z,u)). [para(11433(a,1),11658(a,1,1))]. 11662 a(L(x,y,z),u,u) * (u * x) = u * L(x,u,L(u,y,z)). [hyper(11338,a,11661,a)]. 11664 L(x,y,z) \ (a(x,L(x,y,z),u) \ 1) = L(L(x,y,z),x,u) \ 1. [para(10544(a,1),11657(a,1,1)),flip(a)]. 11665 L(x,y,z) \ (a(x,x,L(u,y,z)) \ 1) = L(L(x,y,z),x,u) \ 1. [para(11655(a,1),11664(a,1,2,1))]. 11666 L(x,y,z) \ (a(L(u,y,z),x,x) * 1) = L(L(x,y,z),x,u) \ 1. [para(11327(a,1),11665(a,1,2))]. 11667 1 * R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u). [para(11436(a,1),11659(a,1,1))]. 11668 x * a(x,L(x,y,z),u) = R(x,L(x,y,z),u). [hyper(100,a,11667,a),flip(a)]. 11670 x * a(x,x,L(y,z,u)) = R(x,L(x,z,u),y). [para(11655(a,1),11668(a,1,2))]. 11671 R(x,L(x,y,z),u) = L(x,x,L(u,y,z)). [hyper(10310,a,11670,a),flip(a)]. 11672 L(x \ 1,L(x,y,z) \ 1,u) = L(x,x,L(u \ 1,y,z)) \ 1. [para(11671(a,1),5751(a,2,1))]. 11673 L(x \ 1,L(x,y,z) \ 1,u) = L(x \ 1,x,L(u \ 1,y,z)). [hyper(230,a,10303,a,b,11672,a),flip(a)]. 11674 L(x * L(x \ 1,x,L(y \ 1,z,u)),z,u) = a(L(x,z,u),L(x,z,u),y). [para(11673(a,1),10683(a,1,1,2))]. 11675 L(a(L(x \ 1,y,z),u,u),y,z) = a(L(u,y,z),L(u,y,z),x). [para(10437(a,1),11674(a,1,1))]. 11676 a(L(x,y,z),L(x,y,z),u) = L(a(x,x,L(u,y,z)),y,z). [para(10507(a,1),11675(a,1,1)),flip(a)]. 11677 a(L(x,y,z),L(x,y,z),u) = a(x,x,L(L(u,y,z),y,z)). [hyper(230,a,7198,a,b,11676,a),flip(a)]. 11678 L(x,y,z) \ (a(L(x,y,z),L(x,y,z),u) \ 1) = L(L(x,y,z),x,L(u,y,z)) \ 1. [para(11677(a,2),11665(a,1,2,1))]. 11679 L(L(x,y,z) \ 1,L(x,y,z),u) = L(L(x,y,z),x,L(u,y,z)) \ 1. [hyper(57,a,6632,a(flip),b,11678,a)]. 11680 L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),(L(x,z,u) * y) * x) = a(y \ 1,L(x,z,u) \ 1,x \ 1). [para(11655(a,1),11660(a,1,2))]. 11681 L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),L(x,z,u) * (y * x)) = a(y \ 1,L(x,z,u) \ 1,x \ 1). [para(599(a,1),11680(a,1,3))]. 11682 L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),x * (y * L(x,z,u))) = a(y \ 1,L(x,z,u) \ 1,x \ 1). [hyper(57,a,7105,a(flip),b,11681,a)]. 11683 a(x,x,L(L(y,z,u),a(x,x,L(y,z,u)),x * (y * L(x,z,u)))) = a(y \ 1,L(x,z,u) \ 1,x \ 1). [hyper(7200,a,11682,a)]. 11684 a(x \ 1,L(y,z,u) \ 1,y \ 1) = a(y,y,L(x,z,u)). [hyper(10774,a,11683,a),flip(a)]. 11685 a(x,y,L(y,z,u)) \ 1 = a(y,y,L(x,z,u)). [hyper(57,a,11629,a(flip),b,11684,a)]. 11686 a(L(x,y,z),u,u) = a(x,u,L(u,y,z)). [hyper(33,a,10451,a,b,11685,a)]. 11687 a(x,y \ 1,L(y \ 1,z,u)) = a(L(x,z,u),y,y). [hyper(10494,a,11686,a),flip(a)]. 11688 a(L(x,y,z),x \ 1,u) = a(u,x,L(x,y,z)). [hyper(57,a,10566,a,b,11686,a)]. 11689 a(x \ 1,L(x,y,z),u) = a(u,x,L(x,y,z)). [hyper(57,a,10564,a,b,11686,a)]. 11690 a(x,x,L(y \ x,z,u)) = a(y,x,L(x,z,u)). [hyper(57,a,10506,a,b,11686,a)]. 11691 a(x,x,L(y \ 1,z,u)) = a(y,x,L(x,z,u)). [hyper(57,a,10435,a,b,11686,a)]. 11692 a(L(x,y,z),y,L(y,u,w)) = a(L(x,u,w),y,y). [hyper(57,a,10748,a(flip),b,11686,a),flip(a)]. 11693 a(x,y,L(y,z,u)) = L(a(x,y,y),z,u). [hyper(57,a,10510,a(flip),b,11686,a),flip(a)]. 11694 a(x \ 1,y,L(y,z,u)) = a(y,y,L(x,z,u)). [hyper(57,a,10507,a(flip),b,11686,a),flip(a)]. 11695 (x * y) * a(z,u,L(u,y,x)) = x * (y * a(z,u,u)). [para(11686(a,1),10512(a,1,2))]. 11696 a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(y,y,x) * (a(L(x,z,u),y,y) * w). [para(11686(a,1),10596(a,1,1))]. 11697 (x * y) * a(z,x,L(x,u,w)) = x * (y * a(L(z,u,w),x,x)). [para(11686(a,1),10692(a,1,2))]. 11698 (x \ 1) * (y * a(z,x,L(x,u,w))) = L(x \ 1,x,L(z,u,w)) * y. [para(11686(a,1),11256(a,1,2,2))]. 11699 a(x,y,L(y,z,u)) \ w = a(y,y,L(x,z,u)) * w. [para(11686(a,1),11324(a,1,1))]. 11700 (x \ y) * a(z,x,L(x,u,w)) = L(x,x,L(z,u,w)) \ y. [para(11686(a,1),11320(a,1,2))]. 11701 a(x,y,L(y,z,u)) \ w != v5 | a(y,y,L(x,z,u)) * w = v5. [para(11686(a,1),11339(a,1,1))]. 11702 a(x,y,L(y,z,u)) * (y * x) = y * L(x,y,L(y,z,u)). [para(11686(a,1),11662(a,1,1))]. 11703 L(x,y,z) \ (a(u,x,L(x,y,z)) * 1) = L(L(x,y,z),x,u) \ 1. [para(11686(a,1),11666(a,1,2,1))]. 11704 (a(x,x,y) * (a(y,x,L(x,z,u)) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). [para(11693(a,2),10460(a,1,1,2,1))]. 11705 (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(y,z,(y * z) \ 1). [para(11693(a,2),10488(a,2,1,2))]. 11706 a((x * y) \ (a(z,u,L(u,w,v5)) \ (x * y)),x,y) = L(a(a(u,u,z),x,y),w,v5). [para(11693(a,2),11411(a,1,1,2,1))]. 11707 L(x,x,L(y \ x,z,u)) = x * a(y,x,L(x,z,u)). [para(11690(a,1),10300(a,1,2)),flip(a)]. 11709 L(a(x,x,L(y,z,u)),a(y \ 1,x,L(x,z,u)),(x * L(x,z,u)) * (y \ 1)) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). [para(11694(a,1),11597(a,1,1))]. 11710 a(L(x,y,z),y,L(y,u,w)) = a(x,y,L(y,u,w)). [hyper(230,a,11686,a(flip),b,11692,a),flip(a)]. 11711 a(x,y \ 1,L(y \ 1,z,u)) = a(x,y,L(y,z,u)). [hyper(230,a,11686,a(flip),b,11687,a),flip(a)]. 11712 a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z \ 1,u \ 1)). [para(5746(a,1),11711(a,1,3))]. 11713 (a(x,y,z) * u) * a(w,x,x) = a(x,y,z) * (u * a(w,x,x)). [para(6098(a,1),11695(a,1,2,3))]. 11714 (x * y) * a(y,x,L(x,z,u)) = x * L(y,x,L(x,z,u)). [hyper(57,a,10980,a(flip),b,11702,a)]. 11716 (x * y) * a(z,x,L(x,u,w)) = x * (y * a(z,x,L(x,u,w))). [para(11686(a,1),11697(a,2,2,2))]. 11718 x * a(x,y,L(y,z,u)) = L(x,y,L(y,z,u)). [hyper(28,a,11714,a(flip),b,11716,a(flip)),flip(a)]. 11719 L(x,y,z) \ a(u,x,L(x,y,z)) = L(L(x,y,z),x,u) \ 1. [hyper(245,a,11703,a)]. 11720 ((x \ 1) * y) * a(z,x,L(x,u,w)) = L(x \ 1,x,L(z,u,w)) * y. [hyper(28,a,1379,a(flip),b,11698,a),flip(a)]. 11721 a(x,y,L(y,z,u)) * ((y \ 1) * w) = L(y \ 1,y,L(x,z,u)) * w. [hyper(57,a,10980,a,b,11720,a)]. 11722 a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(y,y,x) * (a(x,y,L(y,z,u)) * w). [para(11686(a,1),11696(a,2,2,1))]. 11723 a((x * y) \ (a(z,z,L(u,w,v5)) * (x * y)),x,y) = L(a(a(z,z,u),x,y),w,v5). [para(11699(a,1),11706(a,1,1,2))]. 11724 a(T(a(x,x,L(y,z,u)),w * v5),w,v5) = L(a(a(x,x,y),w,v5),z,u). [para(17(a,2),11723(a,1,1))]. 11725 a(a(x,x,L(y,z,u)),w,v5) = L(a(a(x,x,y),w,v5),z,u). [hyper(57,a,6077,a(flip),b,11724,a)]. 11726 a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = L(a(a(x,x,y),z,u),a(a(x,x,y),z,u) \ 1,w). [hyper(230,a,11052,a,b,11725,a),flip(a)]. 11727 a(a(x,x,L(y,z,u)),w,u) = a(a(x,x,y),w,u). [hyper(230,a,10695,a(flip),b,11725,a),flip(a)]. 11729 (a(x,x,y) * ((x \ y) * a(y,x,L(x,z,u)))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). [para(7064(a,1),11704(a,1,1,2))]. 11730 (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (a(x,x,y) * (L(x,x,L(y,z,u)) \ y)) / (x \ y). [para(11700(a,1),11729(a,1,1,2)),flip(a)]. 11731 (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (L(x \ 1,x,L(y,z,u)) * y) / (x \ y). [para(11360(a,1),11730(a,2,1))]. 11732 (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (y / x) \ (y * L(x \ 1,x,L(y,z,u))). [hyper(230,a,10385,a(flip),b,11731,a),flip(a)]. 11733 L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),(x * L(x,z,u)) * (y \ 1)) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). [para(11694(a,1),11709(a,1,2))]. 11734 a(x,x,L(L(y,z,u),a(x,x,L(y,z,u)),(x * L(x,z,u)) * (y \ 1))) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). [hyper(7200,a,11733,a)]. 11735 a(L(x,y,z) \ 1,x \ 1,(u \ 1) \ 1) = a(x,x,L(u,y,z)). [hyper(10774,a,11734,a),flip(a)]. 11736 a(L(x,y,z) \ 1,x \ 1,u) = a(x,x,L(u,y,z)). [hyper(57,a,3317,a(flip),b,11735,a)]. 11737 a(x \ 1,L(x,y,z) \ 1,u) = a(x,x,L(u,y,z)). [hyper(57,a,5994,a(flip),b,11736,a)]. 11738 (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(z,z,y). [para(6580(a,1),11705(a,2,2))]. 11739 (x * (a(y,z,z) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(z,z,y). [para(10438(a,1),11738(a,1,1,2,1))]. 11740 (x * a(y,y,z)) * L(z * (y * ((z * y) \ 1)),u,w) = (x * a(z,y,L(y,u,w))) * a(y,y,z). [para(10451(a,1),11739(a,1,1,2))]. 11741 (x * a(y,z,L(z,u,w))) * a(z,z,y) = (x * a(z,z,y)) * L(a(y,z,z),u,w). [para(10438(a,1),11740(a,1,2,1)),flip(a)]. 11742 (x * a(y,z,L(z,u,w))) * a(z,z,y) = (x * a(z,z,y)) * a(y,z,L(z,u,w)). [para(11693(a,2),11741(a,2,2))]. 11743 a(x,x,L(L(y,z,u) \ 1,1 \ L(y,z,u),L(y,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). [para(11370(a,1),11352(a,1,1,3))]. 11744 a(x,x,L(L(y,z,u) \ 1,L(y,z,u),L(y,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). [para(59(a,1),11743(a,1,1,3,2))]. 11745 R((a(L(x,y,z),u,u) * w) / a(x,u,u),a(x,u,u),a(u,u,L(x,y,z))) = w / L(a(x,u,u) * a(u,u,L(x,y,z)),v5,a(u,u,x)). [para(11340(a,1),11376(a,1,1,1))]. 11746 (x * a(x,y,L(y,z,u))) * a(y * L(y,z,u),x,a(x,y,L(y,z,u))) = x * (x \ L(x,y,L(y,z,u))). [para(11626(a,1),11628(a,1,2,3))]. 11747 x * (x \ L(x,y,L(y,z,u))) = R(x,y,L(y,z,u)). [hyper(6198,a,11746,a),flip(a)]. 11748 R(x,y,L(y,z,u)) = L(x,y,L(y,z,u)). [hyper(203,a,11747,a),flip(a)]. 11750 (x / y) * R(y,x,L(x,z,u)) = x * a(L(y,x,L(x,z,u)),x,L(x,z,u)). [para(11748(a,1),11529(a,2,2,1))]. 11751 (x / y) * R(y,x,L(x,z,u)) = x * a(y,x,L(x,z,u)). [para(11710(a,1),11750(a,2,2))]. 11752 (x / y) * R(y,x,L(x,z,u)) = L(x,x,L(y \ x,z,u)). [hyper(230,a,11707,a,b,11751,a),flip(a)]. 11754 x * L(y,y,L(x \ y,z,u)) = R(x,y,L(y,z,u)) * y. [para(11752(a,1),11532(a,1,2))]. 11755 (x / y) * L(y,x,L(x,z,u)) = L(x,x,L(y \ x,z,u)). [para(11748(a,1),11752(a,1,2))]. 11756 x * L(y,y,L(x \ y,z,u)) = L(x,y,L(y,z,u)) * y. [para(11748(a,1),11754(a,2,1))]. 11757 R((a(x,y,L(y,z,u)) * w) / a(x,y,y),a(x,y,y),a(y,y,L(x,z,u))) = w / L(a(x,y,y) * a(y,y,L(x,z,u)),v5,a(y,y,x)). [para(11686(a,1),11745(a,1,1,1,1))]. 11758 R(a(x,x,y) * (a(y,x,L(x,z,u)) * w),a(y,x,x),a(x,x,L(y,z,u))) = w / L(a(y,x,x) * a(x,x,L(y,z,u)),v5,a(x,x,y)). [para(11325(a,1),11757(a,1,1))]. 11760 x / L(a(y,z,z) * a(z,z,L(y,u,w)),v5,a(z,z,y)) != v6 | a(z,z,y) * (a(y,z,L(z,u,w)) * x) = v6. [para(11758(a,1),10838(a,1))]. 11761 R(((K(x,y) * z) \ u) \ 1,z,z \ 1) \ (((K(x,y) / (z \ 1)) \ u) \ 1) = ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u). [para(4734(a,1),11024(a,1,1,1,1,1))]. 11762 ((x \ 1) * (K(y,z) * u)) \ (((K(y,z) / (u \ 1)) \ x) \ 1) = ((K(y,z) / (u \ 1)) \ x) \ (((u \ 1) * K(z,y)) * x). [para(11246(a,1),11761(a,1,1))]. 11763 ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = ((u \ 1) * (K(x,y) * z)) \ (((K(x,y) * z) \ u) \ 1). [para(4734(a,1),11762(a,1,2,1,1)),flip(a)]. 11764 ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,(K(x,y) * z) \ 1). [hyper(230,a,5773,a(flip),b,11763,a),flip(a)]. 11765 ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,z \ K(y,x)). [para(4801(a,1),11764(a,2,3))]. 11766 ((K(x,y) * z) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,z \ K(y,x)). [para(4734(a,1),11765(a,1,1,1))]. 11767 a(((x \ 1) * K(y,z)) * u,x,x \ 1) = a(u,K(z,y) * x,x \ K(y,z)). [hyper(57,a,11620,a,b,11766,a)]. 11768 a((x \ K(y,z)) * u,x,x \ 1) = a(u,K(z,y) * x,x \ K(y,z)). [para(4735(a,1),11767(a,1,1,1))]. 11769 a(x,K(y,z) * u,u \ K(z,y)) = a(K(z,y) * x,u,u \ 1). [hyper(11201,a,11768,a),flip(a)]. 11770 a(x,y * K(z,u),K(u,z) / y) = a(K(u,z) * x,y,y \ 1). [hyper(57,a,5979,a(flip),b,11769,a)]. 11771 a(x,y * K(z,u),K(u,z) / y) = a(y,y,K(u,z) * x). [hyper(230,a,6577,a(flip),b,11770,a),flip(a)]. 11772 a(x * K(y,z),x * K(y,z),u) = a(x,x,K(z,y) * u). [hyper(6764,a,11771,a)]. 11773 a(x,x,K(y,z) * (x * ((x * K(y,z)) \ u))) = a(x * K(z,y),x * K(z,y),x \ u). [hyper(57,a,11019,a(flip),b,11772,a),flip(a)]. 11774 a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,K(z,y) * ((x * K(z,y)) \ u)). [hyper(57,a,11206,a(flip),b,11773,a),flip(a)]. 11775 a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,x \ u). [hyper(230,a,10993,a(flip),b,11774,a),flip(a)]. 11777 a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,u). [hyper(230,a,6613,a(flip),b,11775,a),flip(a)]. 11778 a(x,x,K(y,z) * (x \ u)) = a(x,x,u). [hyper(57,a,11772,a(flip),b,11777,a)]. 11779 a(x,x,K(y,z) * u) = a(x,x,u). [hyper(11205,a,11778,a)]. 11781 a(x \ K(y,z),u,u) = a(u,u,x). [hyper(10481,a,11779,a)]. 11782 a(x,x,y * K(z,u)) = a(x,x,y). [hyper(10323,a,11779,a)]. 11786 a(x,x,T(y,z) \ u) = a(x,x,y \ u). [para(1819(a,1),11779(a,1,3)),flip(a)]. 11789 a(L(x * K(y,z),u,w),v5,v5) = L(a(v5,v5,x),u,w) \ 1. [para(11782(a,1),10458(a,1,1,1)),flip(a)]. 11790 a(R(x * K(y,z),u,w),v5,v5) = R(a(v5,v5,x),u,w) \ 1. [para(11782(a,1),10459(a,1,1,1)),flip(a)]. 11791 a(x,x,(y * z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,y,z)). [hyper(57,a,6654,a(flip),b,11786,a),flip(a)]. 11792 a(L(x * K(y,z),u,w),v5,v5) = a(L(x,u,w),v5,v5). [hyper(230,a,10458,a(flip),b,11789,a),flip(a)]. 11793 a(L(x * K(y,z),u,w),v5,v5) = a(v5,v5,L(x,u,w)) \ 1. [para(7198(a,2),11789(a,2,1))]. 11794 a(x,x,L(y \ K(z,u),w,v5)) = a(L(y,w,v5),x,x). [hyper(10518,a,11792,a)]. 11795 a(R(x * K(y,z),u,w),v5,v5) = a(R(x,u,w),v5,v5). [hyper(230,a,10459,a(flip),b,11790,a),flip(a)]. 11796 a(x,x,R(y \ K(z,u),w,v5)) = a(R(y,w,v5),x,x). [hyper(57,a,10545,a(flip),b,11795,a)]. 11798 a(x,x,L(y * K(z,u),w,v5)) = a(x,x,L(y,w,v5)). [hyper(10452,a,11793,a)]. 11799 a(L(x \ K(y,z),u,w),v5,v5) = a(v5,v5,L(x,u,w)). [hyper(10547,a,11798,a)]. 11801 a(x,x,(y * z) \ ((z * u) * y)) = a(x,x,R(u,z,y)). [para(5254(a,1),11791(a,1,3))]. 11802 a(L(x \ K(y,x * z),z,y),u,u) = a(u,u,R(x,z,y)). [hyper(57,a,10559,a,b,11801,a)]. 11803 a(x,x,R(y,z,u)) = a(x,x,L(y,z,u)). [hyper(57,a,11799,a(flip),b,11802,a),flip(a)]. 11805 a(x,x,L(y \ K(z,u),w,v5)) = a(R(y,w,v5),x,x). [hyper(57,a,11796,a(flip),b,11803,a),flip(a)]. 11807 a(x,x,L(y,z,u)) = R(a(x,x,y),z,u). [hyper(57,a,7225,a(flip),b,11803,a),flip(a)]. 11808 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) = z * a(x,x,R(y,u,w)). [para(11803(a,1),11383(a,1,2,2))]. 11809 a(x,y,y) * a(y,y,L(x,z,u)) = a(a(y,y,x),z,u). [para(11807(a,2),11408(a,1,2))]. 11810 a(x,x,L(y,z,u)) * a(y,x,x) = a(a(x,x,y),z,u). [para(11807(a,2),11409(a,1,1))]. 11811 (a(x,x,L(y,z,u)) \ 1) * a(x,x,y) = a(a(x,x,y),z,u) \ 1. [para(11807(a,2),11410(a,1,1,1))]. 11812 a(R(x,y,z),u,u) = a(L(x,y,z),u,u). [hyper(57,a,11794,a(flip),b,11805,a),flip(a)]. 11813 a(L(x,y \ 1,z),u,u) = a(L(x,y,z \ 1),u,u). [hyper(10537,a,11812,a),flip(a)]. 11814 a(L(x,y,z),u,u) = R(a(x,u,u),y,z). [hyper(57,a,10539,a(flip),b,11812,a),flip(a)]. 11815 (x * y) * a(L(z,x,y),u,u) = (x * a(z,u,u)) * y. [para(11812(a,1),10541(a,1,2))]. 11816 (x * y) * a(L(z,y,x),u,u) = (y * a(z,u,u)) * T(x,y). [para(11812(a,1),10540(a,1,2))]. 11817 a(x,y,L(y,z,u)) = R(a(x,y,y),z,u). [hyper(57,a,11686,a(flip),b,11814,a)]. 11818 a(x,y,L(y,z,u)) * a(y,y,x) = a(a(x,y,y),z,u). [para(11817(a,2),11374(a,1,1))]. 11819 (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * a(y,x,L(x,z,u))) * a(x,x,y). [para(11817(a,2),11392(a,2,1,2))]. 11820 a(L(x,y,z \ 1),u,u) = a(x,u,L(u,y \ 1,z)). [hyper(57,a,11686,a(flip),b,11813,a),flip(a)]. 11821 a(x,y,L(y,z \ 1,u)) = a(x,y,L(y,z,u \ 1)). [hyper(57,a,11686,a(flip),b,11820,a),flip(a)]. 11822 a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z,(u \ 1) \ 1)). [hyper(57,a,11712,a,b,11821,a)]. 11823 a(x,x,y) * a(a(x,x,y),z,u) = a(x,x,L(y,z,u)). [para(11809(a,1),11326(a,1,2))]. 11824 a(x,y,y) * (a(y,y,L(x,z,u)) * w) = a(a(y,y,x),z,u) * w. [para(11810(a,1),10827(a,1,1)),flip(a)]. 11825 x * (T(y,x) * a(z,u,u)) = (y * a(z,u,u)) * x. [hyper(10514,a,11815,a)]. 11826 x * (a(y,z,z) * T(u,x)) = (u * a(y,z,z)) * x. [hyper(57,a,4893,a,b,11825,a)]. 11827 T(x * a(y,z,z),u) = a(y,z,z) * T(x,u). [hyper(191,a,11826,a)]. 11828 a(x,x,y) * a(y,x,L(x,z,u)) = a(a(y,x,x),z,u). [hyper(6740,a,11818,a)]. 11829 L(x,y,y) \ a(x,y,L(y,z,u)) = x \ a(a(x,y,y),z,u). [para(11828(a,1),11354(a,1,2)),flip(a)]. 11830 (x * a(y,z,z)) * T(u,x) = u * (x * a(y,z,z)). [hyper(10513,a,11816,a),flip(a)]. 11831 ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = u * K(x,u \ (x * a(y,z,z))). [hyper(2726,a,11830,a),flip(a)]. 11832 ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = T(u,x). [hyper(835,a,11830,a)]. 11833 T(x,y * a(z,u,u)) = T(x,y). [hyper(270,a,11830,a),flip(a)]. 11834 (((x * a(y,z,z)) \ u) * (x * a(y,z,z))) \ u = K(x,(x * a(y,z,z)) \ u). [para(11830(a,1),2172(a,1,1))]. 11835 (T(x,a(y,z,z)) * T(u,x)) \ (a(y,z,z) \ (u * (x * a(y,z,z)))) = a(a(y,z,z),x,T(u,x)). [para(11830(a,1),6208(a,2,2,2)),flip(a)]. 11836 T(x,a(y,z,z) * u) = T(x,u). [hyper(8725,a,11833,a)]. 11837 T(x,a(y,y,z) * u) = T(x,u). [para(11329(a,1),11833(a,1,2)),flip(a)]. 11839 T(x,L(y,z,z \ 1) * u) = T(x,y * u). [hyper(57,a,11349,a(flip),b,11836,a),flip(a)]. 11841 T((a(x,x,y) * z) * u,z) = u * (a(x,x,y) * z). [hyper(738,a,11837,a),flip(a)]. 11842 T(a(x,x,y) * (z / L(y,x,x \ y)),z) = L(y \ z,y,a(x,x,y)). [hyper(57,a,11542,a(flip),b,11837,a),flip(a)]. 11844 T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). [para(843(a,1),11839(a,1,2,1))]. 11845 T(x,((((y * z) \ 1) * (y * z)) \ (((y * z) \ 1) * (y * L(z,u,w)))) * v5) = T(x,(y \ ((y / z) * L(z,u,w))) * v5). [para(3044(a,1),11839(a,1,2,1))]. 11846 L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,(z \ y) * u). [hyper(57,a,10656,a,b,11844,a)]. 11847 (a(x,x,y) * z) \ (z * (a(x,x,y) * u)) = R(u,a(x,x,y),z). [para(11841(a,1),6757(a,1,2))]. 11848 L(T(x,a(y,z,z) * (T(z \ y,a(y,z,z)) \ u)),u,K(z \ y,a(y,z,z))) = T(x,((y \ 1) * z) * u). [para(10442(a,1),11846(a,2,2,1))]. 11849 a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z,u)). [para(614(a,1),11822(a,2,3,3))]. 11850 L(K(x,a(y,y,z)) * u,a(y,y,z),x) = R(u,a(y,y,z),x). [hyper(57,a,2821,a(flip),b,11847,a)]. 11851 L(a(x,y,K(z,y)) * u,a(y,y,z),x) = R(u,a(y,y,z),x). [para(6690(a,2),11850(a,1,1,1))]. 11852 L(1 * x,a(y,y,z),u) = R(x,a(y,y,z),u). [para(2523(a,1),11851(a,1,1,1))]. 11853 R(x,a(y,y,z),u) = L(x,a(y,y,z),u). [para(2(a,1),11852(a,1,1)),flip(a)]. 11855 ((a(x,x,y) * z) / u) * L(u,a(x,x,y),z) = u \ ((u * a(x,x,y)) * z). [para(11853(a,1),6144(a,1,2))]. 11856 (a(L(x,y,z),u,u) * 1) * a(u,u,x) = a(a(u,u,x),y,z) \ 1. [para(11327(a,1),11811(a,1,1))]. 11857 a(x,x,L(y,z,u)) * (w * a(y,x,x)) = a(a(x,x,y),z,u) * w. [hyper(57,a,10663,a,b,11824,a)]. 11858 (a(x,y,L(y,z,u)) * 1) * a(y,y,x) = a(a(y,y,x),z,u) \ 1. [para(11686(a,1),11856(a,1,1,1))]. 11859 a(x,y,L(y,z,u)) * a(y,y,x) = a(a(y,y,x),z,u) \ 1. [para(3(a,1),11858(a,1,1))]. 11860 a(a(x,x,y),z,u) \ 1 = a(a(y,x,x),z,u). [hyper(57,a,11818,a(flip),b,11859,a),flip(a)]. 11861 a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = L(a(a(x,x,y),z,u),a(a(y,x,x),z,u),w). [para(11860(a,1),11726(a,2,2))]. 11863 (x * (T(a(y,y,z),x) * u)) / u = u \ ((u * a(y,y,z)) * x). [hyper(57,a,2828,a(flip),b,11855,a)]. 11864 (x * (a(y,y,z) * u)) / u = u \ ((u * a(y,y,z)) * x). [para(6735(a,1),11863(a,1,1,2,1))]. 11866 ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = (z * a(x,x,y)) \ (u \ ((u * a(x,x,y)) * z)). [para(11864(a,1),6756(a,2,2))]. 11867 ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = u * K(x,u \ a(y,z,z)). [para(3574(a,1),11831(a,2,2))]. 11868 x * K(y,x \ a(z,u,u)) = T(x,y). [hyper(57,a,11832,a(flip),b,11867,a),flip(a)]. 11870 T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). [para(11868(a,1),10588(a,1,2)),flip(a)]. 11871 T(a(x,x,y) * (z / u),z) = a(x,x,y) * (u \ z). [para(695(a,1),11870(a,2,2))]. 11872 a(x,y,y) * T(a(y,y,L(x,z,u)) * w,v5) = a(a(y,y,x),z,u) * T(w,v5). [para(11870(a,2),11824(a,1,2))]. 11874 a(x,x,y) * (L(y,x,x \ y) \ z) = L(y \ z,y,a(x,x,y)). [hyper(57,a,11842,a(flip),b,11871,a),flip(a)]. 11875 L(x,L(y,z,z \ y) \ u,K(w,L(y \ u,y,a(z,z,y)))) = L(x,a(z,z,y),K(L(y,z,z \ y) \ u,w)). [para(11874(a,1),10971(a,1,3,2))]. 11876 K(x,(x * a(y,z,z)) \ u) = T(u,x) \ u. [para(11832(a,1),11834(a,1,1)),flip(a)]. 11877 K(x,(x * a(y,z,z)) \ u) = K(x,u). [hyper(230,a,1586,a,b,11876,a),flip(a)]. 11879 K(x,a(y,z,z) \ u) = K(x,u). [hyper(3552,a,11877,a)]. 11880 K(x,a(y,y,z) * u) = K(x,u). [hyper(10454,a,11879,a)]. 11881 K(x,y \ (z * a(u,u,w))) = K(x,y \ z). [hyper(57,a,11348,a,b,11880,a)]. 11882 K(x,y * a(z,u,u)) = K(x,y). [para(11336(a,1),11880(a,1,2)),flip(a)]. 11883 a(x,y,y) * (a(z,z,u) * K(w,a(y,y,x))) = T(a(x,y,y) * a(z,z,u),w). [para(11882(a,1),11334(a,1,2,2))]. 11885 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [para(6587(a,1),11881(a,1,2,2))]. 11886 K(x,y \ L(z,u,u \ z)) = K(x,y \ z). [para(11500(a,2),11881(a,1,2,2))]. 11887 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [para(11505(a,2),11886(a,1,2,2))]. 11888 K(x,y \ (((z * u) \ 1) * (z * L(u,w,v5)))) = K(x,y \ (z \ ((z / u) * L(u,w,v5)))). [para(3041(a,1),11885(a,2,2,2))]. 11889 T((a(x,x,L(y,z,u)) * w) * a(y,x,x),v5) = a(a(x,x,y),z,u) * T(w,v5). [hyper(57,a,11827,a,b,11872,a)]. 11890 a(x,y,y) * (a(z,z,u) * a(w,y,K(x,y))) = T(a(x,y,y) * a(z,z,u),w). [para(6690(a,2),11883(a,1,2,2))]. 11892 T(a(x,x,L(y,z,u)) * (w * a(y,x,x)),v5) = a(a(x,x,y),z,u) * T(w,v5). [para(11713(a,1),11889(a,1,1))]. 11893 T(a(x,y,y) * a(z,z,u),w) = a(x,y,y) * (a(z,z,u) * 1). [para(2523(a,1),11890(a,1,2,2)),flip(a)]. 11894 T(a(x,y,y) * a(z,z,u),w) = a(x,y,y) * a(z,z,u). [para(3(a,1),11893(a,2,2))]. 11896 x / L(a(y,z,z) * a(z,z,L(y,u,w)),v5,a(z,z,y)) = (a(y,z,z) * a(z,z,L(y,u,w))) \ x. [para(11894(a,1),11378(a,1,2,1))]. 11897 T(a(a(x,x,y),z,u) * w,v5) = a(a(x,x,y),z,u) * T(w,v5). [para(11857(a,1),11892(a,1,1))]. 11898 (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) = z * a(x,x,L(y,u,w)). [para(11803(a,1),11808(a,2,2))]. 11899 a(x,x,y) * (z * (a(y,x,x) * a(x,x,L(y,u,w)))) = z * a(x,x,L(y,u,w)). [hyper(11377,a,11898,a)]. 11900 a(x,x,y) * (z * a(a(x,x,y),u,w)) = z * a(x,x,L(y,u,w)). [para(11809(a,1),11899(a,1,2,2))]. 11901 (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). [hyper(230,a,11742,a(flip),b,11819,a),flip(a)]. 11902 K(x,y \ L(z \ L(z,u,w),v5,v5 \ 1)) = K(x,y \ (v5 \ ((v5 / z) * L(z,u,w)))). [para(6405(a,1),11888(a,1,2,2))]. 11903 K(x,y \ (z \ ((z / u) * L(u,w,v5)))) = K(x,y \ (u \ L(u,w,v5))). [hyper(57,a,11887,a(flip),b,11902,a),flip(a)]. 11905 K(x,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,y \ (w \ L(w,u,z))). [para(1361(a,1),11903(a,1,2,2,2))]. 11906 K(x \ 1,y \ (z \ L(z,u,w))) = K(x,a(w,u,z) * y). [hyper(57,a,10650,a(flip),b,11905,a),flip(a)]. 11907 K(x,(y \ L(y,z,u)) \ w) = K(x,a(u,z,y) * w). [hyper(2054,a,11906,a)]. 11908 K(x,(L(y,z,u) \ y) * w) = K(x,a(u,z,y) * w). [hyper(57,a,10030,a(flip),b,11907,a)]. 11909 K(x,y * (L(y,z,u) \ w)) = K(x,a(u,z,y) * w). [hyper(57,a,10820,a(flip),b,11908,a)]. 11910 K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = a(w,u,K(L(u \ L(u,z,y),u,w),x)). [hyper(57,a,10646,a(flip),b,11909,a),flip(a)]. 11911 (a(x,x,y) * R(a(y,x,x),z,u)) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). [para(10439(a,1),11901(a,1,1,2,1))]. 11912 (a(x,x,y) * a(y,x,L(x,z,u))) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). [para(11817(a,2),11911(a,1,1,2))]. 11913 (x * a(y,y,z)) * a(z,y,L(y,u,w)) = a(a(z,y,y),u,w) * x. [para(11828(a,1),11912(a,1,1)),flip(a)]. 11914 a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(a(x,y,y),z,u) * w. [hyper(57,a,10980,a,b,11913,a)]. 11915 K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = a(w,u,a(x,z,K(u,L(y,u,w)))). [para(7265(a,1),11910(a,2,3))]. 11916 K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = 1. [hyper(230,a,4703,a(flip),b,11915,a),flip(a)]. 11918 (x * T(y,x)) \ (a(z,u,u) \ (y * (x * a(z,u,u)))) = a(a(z,u,u),x,T(y,x)). [para(4884(a,1),11835(a,1,1,1))]. 11919 (x * y) \ (a(z,u,u) \ (x * (y * a(z,u,u)))) = a(a(z,u,u),y,T(x,y)). [para(93(a,1),11918(a,1,1))]. 11920 (x * y) \ (a(z,z,u) * (x * (y * a(u,z,z)))) = a(a(u,z,z),y,T(x,y)). [para(11324(a,1),11919(a,1,2))]. 11921 (x * y) \ (a(z,z,u) * (x * (y * a(u,z,z)))) = a(a(u,z,z),y,x). [hyper(230,a,11091,a(flip),b,11920,a),flip(a)]. 11922 L(a(a(x,y,y),z,u) \ 1,(u * z) \ (a(y,y,x) * (u * (z * a(x,y,y)))),a(y,y,x) * (u * (z * a(x,y,y)))) = (a(y,y,x) * (u * (z * a(x,y,y)))) \ (u * z). [para(11921(a,1),2286(a,1,1,1))]. 11923 a(a(x,y,y) \ 1,z \ 1,u \ 1) = a(a(x,y,y),z,u) \ 1. [para(11921(a,1),11337(a,1,1)),flip(a)]. 11924 a(a(x,x,y),z \ 1,u \ 1) = a(a(y,x,x),z,u) \ 1. [para(10451(a,1),11923(a,1,1))]. 11925 a(a(x,y,y),z \ 1,u) \ 1 = a(a(y,y,x),z,u \ 1). [para(614(a,1),11924(a,1,2)),flip(a)]. 11926 a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u). [hyper(230,a,11725,a,b,11861,a),flip(a)]. 11927 ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = K(a(x,x,y),z) * a(u,a(x,x,y),z). [hyper(230,a,6139,a(flip),b,11866,a),flip(a)]. 11928 ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = 1 * a(u,a(x,x,y),z). [para(6732(a,1),11927(a,2,1))]. 11929 a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = a(u,a(x,x,y),z). [hyper(98,a,11928,a(flip),b,11398,a),flip(a)]. 11932 x \ L(x,a(y,y,z),u) = a(x,a(y,y,z),u). [hyper(57,a,11402,a(flip),b,11929,a)]. 11933 x * a(x,a(y,y,z),u) = L(x,a(y,y,z),u). [hyper(110,a,11932,a)]. 11934 L(x,a(y,y,z \ 1),u) = x * a(x,a(z,y,y),u). [para(10425(a,1),11933(a,1,2,2)),flip(a)]. 11935 x * a(x,a(y,z,z),u) = L(x,a(y,z,z),u). [para(10425(a,1),11934(a,1,2)),flip(a)]. 11936 (a(x,y,y) * a(y,y,L(x,z,u))) \ w = a(y,y,x) * (a(x,y,L(y,z,u)) * w). [hyper(11760,a,11896,a),flip(a)]. 11938 a(x,x,y) * (a(y,x,L(x,z,u)) * w) = a(a(x,x,y),z,u) \ w. [para(11809(a,1),11936(a,1,1)),flip(a)]. 11940 a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(a(y,y,x),z,u) \ w. [hyper(57,a,11722,a,b,11938,a)]. 11941 a(a(x,x,y),z,u) \ w = a(a(y,x,x),z,u) * w. [hyper(57,a,11914,a(flip),b,11940,a),flip(a)]. 11942 a(a(x,y,y),z,u) \ w = a(a(y,y,x),z,u) * w. [hyper(240,a,11941,a),flip(a)]. 11943 x * (a(a(y,y,z),u,w) * (a(a(z,y,y),u,w) * (x \ v5))) = v5. [para(11941(a,1),65(a,1,2,2))]. 11944 a(x,a(y,y,x),z) \ u = a(a(x,y,y),x,z) * u. [para(11514(a,1),11941(a,1,1))]. 11945 a(a(x,x,y),z \ 1,u) * 1 = a(a(x,x,y),z,u \ 1). [hyper(57,a,11925,a(flip),b,11942,a),flip(a)]. 11946 a(x,a(y,y,x),z) \ u = a(x,a(x,y,y),z) * u. [para(10253(a,1),11944(a,2,1))]. 11947 a(a(x,x,y),z \ 1,u) = a(a(x,x,y),z,u \ 1). [hyper(104,a,11945,a)]. 11948 L(T(x,a(y,z,z) * ((z \ y) \ u)),u,K(z \ y,a(y,z,z))) = T(x,((y \ 1) * z) * u). [para(4884(a,1),11848(a,1,1,2,2,1))]. 11950 L(T(x,a(y,z,z) * ((z \ y) \ u)),u,a(z \ y,z,K(z,y))) = T(x,((y \ 1) * z) * u). [para(6690(a,2),11948(a,1,3))]. 11951 L(T(x,a(y,z,z) * ((z \ y) \ u)),u,1) = T(x,((y \ 1) * z) * u). [para(2521(a,1),11950(a,1,3))]. 11952 T(x,a(y,z,z) * ((z \ y) \ u)) = T(x,((y \ 1) * z) * u). [hyper(1281,a,11951,a)]. 11955 T(x,((y \ 1) * z) * u) = T(x,(z \ y) \ u). [hyper(57,a,11836,a(flip),b,11952,a),flip(a)]. 11957 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [hyper(57,a,11844,a(flip),b,11955,a),flip(a)]. 11958 T(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) \ w) = T(x,(a(u \ 1,z,y) \ 1) * w). [para(6328(a,1),11957(a,2,2,1))]. 11959 T(x,(((y * (z * u)) / u) \ (y * z)) \ w) = T(x,L(u \ L(u,z,y),u,z * y) * w). [para(11101(a,2),11957(a,2,2,1))]. 11960 T(x,L(y \ L(y,z,u),y,z * u) * w) = T(x,a(u,z,y) \ w). [para(11479(a,2),11959(a,1,2,1)),flip(a)]. 11961 T(x,a(y \ 1,z \ 1,u) \ w) = T(x,(a(u \ 1,z,y) \ 1) * w). [para(5594(a,1),11958(a,1,2,1))]. 11962 T(x,a(y \ 1,z \ 1,u) \ w) = T(x,a(u \ 1,z,y) \ w). [hyper(230,a,4817,a(flip),b,11961,a),flip(a)]. 11963 T((x * y) \ ((x * (y * z)) / z),a((x \ 1) \ 1,y,z) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). [hyper(57,a,6377,a(flip),b,11962,a),flip(a)]. 11964 L(x,a(y,y,z),K(L(z,y,y \ z) \ u,w)) = L(x,L(z,y,y \ z) \ u,K(w,z \ u)). [para(6979(a,1),11875(a,1,3)),flip(a)]. 11965 L(x,a(y,y,z),K(u,w \ L(z,y,y \ z))) = L(x,L(z,y,y \ z) \ w,K(u,z \ w)). [hyper(10195,a,11964,a)]. 11967 L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = L(x,a(z,z,y),K(w,u \ y)). [para(11886(a,1),11965(a,1,3)),flip(a)]. 11968 L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = L(x,z,a(w,z,K(y,u \ y))). [hyper(230,a,10392,a(flip),b,11967,a),flip(a)]. 11970 L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = x. [hyper(230,a,10083,a(flip),b,11968,a),flip(a)]. 11972 L(x / (x \ y),L(z,u,u \ z) \ w,K(v5,z \ w)) = x * (y \ x). [hyper(230,a,2305,a(flip),b,11970,a),flip(a)]. 11973 T(x,(1 \ (((y * z) \ 1) * (y * L(z,u,w)))) * v5) = T(x,(y \ ((y / z) * L(z,u,w))) * v5). [para(590(a,1),11845(a,1,2,1,1))]. 11975 T(x,(1 \ L(y \ L(y,z,u),w,w \ 1)) * v5) = T(x,(w \ ((w / y) * L(y,z,u))) * v5). [para(6405(a,1),11973(a,1,2,1,2))]. 11976 T(x,L(y \ L(y,z,u),w,w \ 1) * v5) = T(x,(w \ ((w / y) * L(y,z,u))) * v5). [para(59(a,1),11975(a,1,2,1))]. 11977 T(x,(y \ ((y / z) * L(z,u,w))) * v5) = T(x,(z \ L(z,u,w)) * v5). [hyper(57,a,11839,a(flip),b,11976,a),flip(a)]. 11979 T(x,(y \ ((y / z) * L(z,u,w))) * v5) = T(x,L(z,u,w) * (z \ v5)). [hyper(230,a,10638,a(flip),b,11977,a),flip(a)]. 11980 T(x,L(y \ L(y,z,u),y,w) * v5) = T(x,L(y,z,u) * (y \ v5)). [para(3043(a,2),11979(a,1,2,1))]. 11981 T(x,L(y,z,u) * (y \ w)) = T(x,a(u,z,y) \ w). [hyper(57,a,11960,a(flip),b,11980,a),flip(a)]. 11983 a(T(x,a(y,z,u) \ w),v5,w) = a(L(x,y,K(u,z)),v5,w). [para(11981(a,1),11287(a,1,1))]. 11984 a(x,y,T(z,a(u,w,v5) \ z)) = a(L(x,u,K(v5,w)),y,z). [hyper(57,a,11575,a(flip),b,11983,a)]. 11985 a(L(x,y,K(z,u)),w,v5) = a(x,w,L(v5,y,K(z,u))). [para(10134(a,1),11984(a,1,3)),flip(a)]. 11986 L(x * R(x \ 1,y,z),u,K(w,v5)) = a((y * z) \ (x \ (y * z)),y,L(z,w,K(v5,u))). [hyper(57,a,10590,a,b,11985,a)]. 11987 a(x,y,L(z,u,K(w,v5))) = L(a(x,y,z),u,K(w,v5)). [hyper(57,a,11289,a(flip),b,11985,a),flip(a)]. 11988 a(x,y,L(z,u,K(w,x))) = a(x,y,z). [para(3416(a,1),11985(a,1,1)),flip(a)]. 11989 a(a(x,y,L(z,u,K(w,v5))),v6,v7) = a(a(x,y,z),v6,L(v7,u,K(w,v5))). [para(11987(a,2),11985(a,1,1))]. 11990 a(a((x * y) \ (z \ (x * y)),x,L(y,u,K(w,v5))),v6,v7) = a(z * R(z \ 1,x,y),v6,L(v7,v5,K(u,w))). [para(11986(a,1),11985(a,1,1))]. 11991 a(a((x * y) \ (z \ (x * y)),x,y),u,L(w,v5,K(v6,v7))) = a(z * R(z \ 1,x,y),u,L(w,v7,K(v5,v6))). [hyper(57,a,11989,a(flip),b,11990,a)]. 11992 a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(z * R(z \ 1,x,y),u,L(u,w,K(v5,v6))). [hyper(57,a,11578,a(flip),b,11991,a)]. 11993 a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(z * R(z \ 1,x,y),u,u). [hyper(230,a,11988,a(flip),b,11992,a),flip(a)]. 11994 T((x * y) \ ((x * (y * z)) / z),a(x,y,z) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). [para(614(a,1),11963(a,1,2,1,1))]. 11995 a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = T((x * y) \ ((x * (y * z)) / z),1). [para(60(a,1),11994(a,1,2)),flip(a)]. 11996 a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = (x * y) \ ((x * (y * z)) / z). [hyper(230,a,161,a(flip),b,11995,a),flip(a)]. 11998 a(L(x,y,z),u,u) \ (a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1) \ a(u,L(u \ 1,y,z),x)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). [para(10562(a,1),11996(a,1,1))]. 11999 a(L(x,y,z),u,u) \ (a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1) \ a(u \ 1,L(u,y,z),x)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). [para(10564(a,1),11996(a,1,1))]. 12000 (a(x,x,y) * (z * a(a(x,x,y),u,w))) \ ((z * (a(x,x,y) * a(a(x,x,y),u,w))) * a(x,x,y)) = a(x,x,L(y,a(a(x,x,y),u,w),z)). [para(6758(a,1),11141(a,1,1))]. 12001 (x * a(y,y,L(z,u,w))) \ ((x * (a(y,y,z) * a(a(y,y,z),u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). [para(11900(a,1),12000(a,1,1))]. 12002 (x * a(y,y,L(z,u,w))) \ ((x * a(y,y,L(z,u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). [para(11823(a,1),12001(a,1,2,1,2))]. 12003 a(x,x,L(y,a(a(x,x,y),z,u),w)) = a(x,x,y). [hyper(241,a,12002,a),flip(a)]. 12005 a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u) = a(a(x,x,y),z,u). [para(12003(a,1),11926(a,1,1)),flip(a)]. 12007 (a(x,y,y) * ((y \ 1) * x)) \ (L(a(y,y,x),z,u) \ ((y \ 1) * x)) = a(y,y,x) * (((y \ 1) * x) \ (L(a(y,y,x),z,u) \ ((y \ 1) * x))). [para(11327(a,1),11451(a,1,1))]. 12008 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,(L(x,y,z) \ L(x \ L(x,y,z),x,u)) * x) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [para(10030(a,1),11582(a,1,2))]. 12009 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = ((L(x,x,y) \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). [para(11322(a,1),12007(a,1,1)),flip(a)]. 12010 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (L(x \ 1,x,y) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). [para(10303(a,2),12009(a,2,1,1))]. 12011 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). [para(2331(a,1),12010(a,2,1))]. 12012 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(x,x,L(y,z,u)) \ ((x \ 1) * y)). [para(7198(a,2),12011(a,2,2,1))]. 12013 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(L(y,z,u),x,x) * ((x \ 1) * y)). [para(11327(a,1),12012(a,2,2))]. 12014 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(y,x,L(x,z,u)) * ((x \ 1) * y)). [para(11686(a,1),12013(a,2,2,1))]. 12015 a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11721(a,1),12014(a,2,2))]. 12016 a(x,x,y) * (((x \ 1) * y) \ (a(x,x,L(y,z,u)) \ ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(7198(a,2),12015(a,1,2,2,1))]. 12017 a(x,x,y) * (((x \ 1) * y) \ (a(L(y,z,u),x,x) * ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11327(a,1),12016(a,1,2,2))]. 12018 a(x,x,y) * (((x \ 1) * y) \ (a(y,x,L(x,z,u)) * ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11686(a,1),12017(a,1,2,2,1))]. 12019 a(x,x,y) * (((x \ 1) * y) \ (L(x \ 1,x,L(y,z,u)) * y)) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11721(a,1),12018(a,1,2,2))]. 12020 a(x,x,y) * (y \ (L(x \ 1,x,L(y,z,u)) * ((x \ 1) \ y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(3241(a,1),12019(a,1,2))]. 12021 a(x,x,y) * (y \ (y * a(L(y,z,u),x,x))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11254(a,1),12020(a,1,2,2))]. 12022 a(x,x,y) * (y \ (y * a(y,x,L(x,z,u)))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). [para(11686(a,1),12021(a,1,2,2,2))]. 12023 (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(x,x,y) * a(y,x,L(x,z,u)). [hyper(336,a,12022,a),flip(a)]. 12025 (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(a(y,x,x),z,u). [hyper(230,a,11828,a(flip),b,12023,a),flip(a)]. 12026 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x \ L(x,y,z),x,u) / L(x,y,z))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [para(8781(a,1),12008(a,1,2))]. 12027 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x,y,z) \ L(L(x,y,z) / x,x,u))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [para(870(a,1),12026(a,1,2,2,2))]. 12028 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x,y,z) \ L(x \ L(x,y,z),x,u))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [para(710(a,1),12027(a,1,2,2,2,2,1))]. 12029 (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,a(z,y,x) * L(x \ L(x,y,z),x,u)) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. [para(11909(a,1),12028(a,1,2))]. 12030 T(a(x,y,y \ L(y,z,u)) \ 1,w) \ y = (L(y \ L(y,z,u),y,x) \ L(y,z,u)) * 1. [para(11916(a,1),12029(a,1,2)),flip(a)]. 12031 T(a(x,y,y \ L(y,z,u)) \ 1,w) \ y = L(y \ L(y,z,u),y,x) \ L(y,z,u). [hyper(230,a,3,a(flip),b,12030,a),flip(a)]. 12033 (x \ (y * L(x,z,u))) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). [para(5(a,1),11588(a,1,1,2,2))]. 12035 ((x \ y) * L(x,z,u)) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). [para(660(a,1),12033(a,1,1))]. 12036 ((x \ y) * L(x,z,u)) \ ((x \ L(x,z,u)) * T(y,L(x,z,u))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). [para(5(a,1),12035(a,1,2,2,2))]. 12038 (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = ((x \ u) * L(x,y,z)) \ (T(u,x) * (x \ L(x,y,z))). [para(11004(a,1),12036(a,1,2)),flip(a)]. 12039 (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = a(x \ u,x,x \ L(x,y,z)). [hyper(230,a,692,a(flip),b,12038,a),flip(a)]. 12040 L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)) = a(x \ u,x,x \ L(x,y,z)). [hyper(57,a,11635,a(flip),b,12039,a)]. 12041 L(x,y,z) \ (((x \ L(x,y,z)) * (x * u)) / u) = a(x \ u,x,x \ L(x,y,z)). [hyper(57,a,129,a(flip),b,12039,a)]. 12042 ((x \ L(x,y,z)) * u) / (x \ u) = (u / x) \ (u * (x \ L(x,y,z))). [hyper(32,a,6190,a(flip),b,12040,a),flip(a)]. 12043 ((x * y) / x) \ ((x * y) * (x \ L(x,z,u))) = ((x \ L(x,z,u)) * (x * y)) / y. [para(4(a,1),12042(a,1,2)),flip(a)]. 12045 L(x,y,z) \ ((x * ((x \ L(x,y,z)) * u)) / u) = a(x \ u,x,x \ L(x,y,z)). [para(6505(a,1),12041(a,1,2,1))]. 12046 ((x * y) / x) \ ((x * y) * (x \ L(x,z,u))) = (x * ((x \ L(x,z,u)) * y)) / y. [para(6505(a,1),12043(a,2,1))]. 12047 (x * ((x \ L(x,y,z)) * u)) / u = u \ ((u * x) * (x \ L(x,y,z))). [hyper(57,a,2720,a(flip),b,12046,a),flip(a)]. 12048 L(x,y,z) \ (u \ ((u * x) * (x \ L(x,y,z)))) = a(x \ u,x,x \ L(x,y,z)). [para(12047(a,1),12045(a,1,2))]. 12049 a(x \ y,x,x \ L(x,z,u)) = a(y,x,x \ L(x,z,u)). [hyper(6182,a,12048,a),flip(a)]. 12050 a(x \ y,x,x \ L(x,z,u)) != w | a(y,x,x \ L(x,z,u)) = w. [para(12048(a,1),6182(a,1))]. 12051 L(x / a(y,z,z \ L(z,u,w)),z,K(z \ L(z,u,w),z \ y)) = a(z \ y,z,z \ L(z,u,w)) \ x. [para(12049(a,1),7027(a,1,1,2))]. 12052 x \ (a(y,z,z \ L(z,u,w)) \ y) = x \ (((y / z) * L(z,u,T(w,v5))) / T(z \ L(z,u,w),v5)). [para(12049(a,1),11601(a,1,2,1))]. 12053 x \ (((x / y) * L(y,z,T(u,w))) / T(y \ L(y,z,u),w)) = a(x,y,y \ L(y,z,u)) \ 1. [hyper(6121,a,12052,a),flip(a)]. 12054 x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) = a(x,y,y \ L(y,z,u)) \ 1. [para(9465(a,1),12053(a,1,2))]. 12055 a(x,y,y \ L(y,z,u)) \ 1 = a(y,y \ L(y,z,u),x). [hyper(57,a,9929,a(flip),b,12054,a),flip(a)]. 12056 a(x,x \ L(x,y,z),u) \ 1 = a(u,x,x \ L(x,y,z)). [hyper(623,a,12055,a)]. 12057 L(x,a(y,z,z \ L(z,u,w)),a(y,z,z \ L(z,u,w))) \ (x / a(y,z,z \ L(z,u,w))) = a(z,z \ L(z,u,w),y). [hyper(57,a,7216,a,b,12055,a)]. 12058 a(x,x \ L(x,y,z),u) \ 1 != w | a(u,x,x \ L(x,y,z)) = w. [para(12055(a,1),618(a,1,1))]. 12059 L((x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. [para(12055(a,2),11388(a,2,1))]. 12060 a(x,x \ L(x,y,z),u) \ x = x * a(u,x,x \ L(x,y,z)). [para(12056(a,1),6119(a,1,2)),flip(a)]. 12061 L(x / a(y,z,z \ L(z,u,w)),z,a(z \ y,u,K(z,w))) = a(z \ y,z,z \ L(z,u,w)) \ x. [para(6787(a,1),12051(a,1,3))]. 12062 a(x \ y,x,x \ L(x,z,u)) \ w = w / a(y,x,x \ L(x,z,u)). [hyper(4702,a,12061,a),flip(a)]. 12063 x / a(y,z,z \ L(z,u,w)) = a(y,z,z \ L(z,u,w)) \ x. [para(12049(a,1),12062(a,1,1)),flip(a)]. 12064 L(x,a(y,z,z \ L(z,u,w)),a(y,z,z \ L(z,u,w))) \ (a(y,z,z \ L(z,u,w)) \ x) = a(z,z \ L(z,u,w),y). [para(12063(a,1),12057(a,1,2))]. 12065 T(a(x,y,y \ L(y,z,u)) \ 1,w) = a(y,y \ L(y,z,u),x). [hyper(57,a,7217,a(flip),b,12064,a)]. 12066 L(x \ L(x,y,z),x,u) \ L(x,y,z) = a(x,x \ L(x,y,z),u) \ x. [para(12065(a,1),12031(a,1,1)),flip(a)]. 12067 L(x \ L(x,y,z),x,u) \ L(x,y,z) = x * a(u,x,x \ L(x,y,z)). [hyper(230,a,12060,a(flip),b,12066,a),flip(a)]. 12068 R(x \ (x * a(y,x,x \ L(x,z,u))),w,y) = a(y,x,L(x \ L(x,z,u),x,y)). [para(12067(a,1),6311(a,1,1,2))]. 12069 R(a(x,y,y \ L(y,z,u)),w,x) = a(x,y,L(y \ L(y,z,u),y,x)). [para(4(a,1),12068(a,1,1))]. 12070 a(x,y,L(y \ L(y,z,u),y,x)) = a(x,y,y \ L(y,z,u)). [hyper(1909,a,12069,a),flip(a)]. 12072 ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,z \ L(z,y,x))) = (z \ L(z,y,x)) * z. [para(12070(a,1),10293(a,1,2,2))]. 12073 ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,z \ L(z,y,x))) = L(z,y,x). [hyper(230,a,681,a(flip),b,12072,a),flip(a)]. 12074 ((x * y) \ ((x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1))) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). [para(1383(a,1),12073(a,1,1,2,1,2))]. 12075 (L(((x * y) \ ((x * (y * z)) / z)) \ 1,u,u) \ a(u,u,(x * y) \ ((x * (y * z)) / z))) * (z * a(x * y,z,z \ L(z,y,x))) = L(z,y,x). [para(10556(a,2),12073(a,1,1))]. 12076 (L(a(x \ 1,y \ 1,z \ 1),u,u) \ a(u,u,(z * y) \ ((z * (y * x)) / x))) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). [para(5928(a,1),12075(a,1,1,1,1))]. 12077 (L(a(x \ 1,y \ 1,z \ 1),u,u) \ a(a(x \ 1,y \ 1,z \ 1),u,u)) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). [para(10461(a,1),12076(a,1,1,2))]. 12078 (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). [para(10495(a,1),12077(a,1,1))]. 12079 a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(u,L(u \ 1,y,z),x)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). [para(11639(a,1),11998(a,1,2,1))]. 12080 a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(L(x,y,z),u,u)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). [para(10562(a,1),12079(a,1,2,2))]. 12081 (x * L(x \ 1,y,z)) \ ((x * (L(x \ 1,y,z) * u)) / u) = a(x,x,L(u,y,z)). [hyper(10490,a,12080,a),flip(a)]. 12082 (x * L(x \ 1,y,z)) \ (u \ ((u * x) * L(x \ 1,y,z))) = a(x,x,L(u,y,z)). [para(9918(a,1),12081(a,1,2))]. 12083 a(x,y,L(y \ 1,z,u)) = a(y,y,L(x,z,u)). [hyper(6133,a,12082,a)]. 12084 a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(u \ 1,L(u,y,z),x)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). [para(11644(a,1),11999(a,1,2,1))]. 12085 a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(L(x,y,z),u,u)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). [para(10564(a,1),12084(a,1,2,2))]. 12086 ((x \ 1) * L(x,y,z)) \ (((x \ 1) * (L(x,y,z) * u)) / u) = a(x,x,L(u,y,z)). [hyper(10490,a,12085,a),flip(a)]. 12087 (x \ L(x,y,z)) \ (((x \ 1) * (L(x,y,z) * u)) / u) = a(x,x,L(u,y,z)). [para(659(a,1),12086(a,1,1))]. 12088 (x \ L(x,y,z)) \ (u \ ((u * (x \ 1)) * L(x,y,z))) = a(x,x,L(u,y,z)). [para(9913(a,1),12087(a,1,2))]. 12089 a(x,y \ 1,L(y,z,u)) = a(y,y,L(x,z,u)). [hyper(6184,a,12088,a)]. 12090 L(a(a(x,x,y),z,u) * 1,(u * z) \ (a(x,x,y) * (u * (z * a(y,x,x)))),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). [para(11942(a,1),11922(a,1,1))]. 12091 L(a(a(x,x,y),z,u),(u * z) \ (a(x,x,y) * (u * (z * a(y,x,x)))),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). [para(3(a,1),12090(a,1,1))]. 12092 L(a(a(x,x,y),z,u),a(a(y,x,x),z,u),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). [para(11921(a,1),12091(a,1,2))]. 12093 a(a(x,x,L(y,a(a(y,x,x),z,u),a(x,x,y) * (u * (z * a(y,x,x))))),z,u) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). [hyper(57,a,11725,a,b,12092,a)]. 12094 (a(x,x,y) * (z * (u * a(y,x,x)))) \ (z * u) = a(a(x,x,y),u,z). [hyper(57,a,12005,a(flip),b,12093,a),flip(a)]. 12095 a(a(x,x,y),z,u) = a(u,z,a(y,x,x)). [hyper(11492,a,12094,a),flip(a)]. 12097 a(x,x,L(a(y,z,z),x,u)) = a(a(z,z,y),x,x). [hyper(230,a,11431,a,b,12095,a)]. 12098 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(u \ 1,L(x,u * (z * y),a(u,z,y)))). [para(4865(a,2),11523(a,2,2))]. 12099 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(x,L(u,u * (z * y),a(u,z,y)))). [para(4627(a,1),12098(a,2,2,3))]. 12100 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(x,u)). [para(6098(a,1),12099(a,2,2,3,2))]. 12101 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(x,u,K(z,y \ 1)). [para(10093(a,1),12100(a,2,2))]. 12102 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(x,u,K(y,z)). [para(1696(a,1),12101(a,2,2,3))]. 12103 x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = a(u,z,y) \ L(x,y,K(z,u)). [hyper(230,a,10992,a(flip),b,12102,a),flip(a)]. 12104 a(x,y,z) \ L(u,z,K(y,x)) = u / a(x,y,z). [para(6380(a,1),12103(a,1,2)),flip(a)]. 12105 (x * y) / a(z,y,x) = a(z,y,x) \ (x * y). [para(7025(a,1),12104(a,1,2)),flip(a)]. 12106 (x \ ((x * y) * z)) \ (y * z) = (z * y) \ (a(x,y,z) \ (z * y)). [para(12105(a,1),6229(a,2,2))]. 12107 (x * y) \ (a(z,y,x) \ (x * y)) = (z * y) \ ((z * (y * x)) / x). [hyper(57,a,11557,a(flip),b,12106,a),flip(a)]. 12108 (x * y) \ ((x * (y * z)) / z) = (z * y) \ (z * (a(x,y,z) \ y)). [para(11295(a,1),12107(a,1,2)),flip(a)]. 12109 L(x \ L(x,y,z),x,y * z) = (x * y) \ (x * (a(z,y,x) \ y)). [hyper(57,a,11101,a,b,12108,a)]. 12110 (x * y) * L(x \ L(x,y,z),x,y * z) = x * (a(z,y,x) \ y). [hyper(110,a,12109,a(flip))]. 12111 x * L(y \ L(y,x,z),y,x * z) = a(z,x,y) \ x. [hyper(5447,a,12110,a)]. 12112 L(x \ L(x,y,z),x,y * z) = y \ (a(z,y,x) \ y). [hyper(101,a,12111,a),flip(a)]. 12113 x * ((y * x) \ ((y * (x * z)) / z)) = a(y,x,z) \ x. [para(11101(a,1),12111(a,1,2))]. 12114 a(a(x,y,z),x,u) \ x = x * a(u,x,a(x,y,z)). [para(11394(a,1),12111(a,1,2)),flip(a)]. 12115 a(x,a(x,y,z),u) \ x = x * a(u,x,a(x,y,z)). [para(10253(a,1),12114(a,1,1))]. 12116 x * a(y,x,a(x,z,z \ 1)) = a(x,a(z,z,x),y) \ x. [para(6577(a,1),12115(a,1,1,2)),flip(a)]. 12117 L((a(x,y,z) \ y) \ y,(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. [para(12112(a,2),11051(a,2,1))]. 12118 a(x,y,a(y,z,u)) \ y = y * a(y,a(y,z,u),x). [para(10831(a,1),12113(a,1,2)),flip(a)]. 12119 x \ (x * a(x,a(x,y,z),y * z)) = x / (a(x,y,z) \ R(x,y,z)). [para(12118(a,1),6275(a,1,2))]. 12120 a(x,a(y,y,x),z) \ x = x * a(z,x,a(y,y,x)). [para(6577(a,1),12116(a,1,2,3)),flip(a)]. 12121 a(x,a(x,y,y),z) * x = x * a(z,x,a(y,y,x)). [hyper(57,a,11946,a(flip),b,12120,a)]. 12122 x * a(y,x,a(z,z,x)) = x * a(x,a(x,z,z),y). [hyper(1461,a,12121,a),flip(a)]. 12123 x * a(y,x,a(z,z,x)) = L(x,a(x,z,z),y). [hyper(230,a,11935,a(flip),b,12122,a),flip(a)]. 12124 x / (a(x,y,z) \ R(x,y,z)) = a(x,a(x,y,z),y * z). [hyper(241,a,12119,a),flip(a)]. 12126 a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u) = x / x. [para(6536(a,1),12124(a,1,2)),flip(a)]. 12127 a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u) = 1. [hyper(230,a,66,a(flip),b,12126,a),flip(a)]. 12129 1 * R(x,x \ L(x,y,z),u) = x * a(x,x \ L(x,y,z),u). [para(12127(a,1),11522(a,1,1))]. 12130 x * a(x,x \ L(x,y,z),u) = R(x,x \ L(x,y,z),u). [hyper(100,a,12129,a),flip(a)]. 12131 L(T(a(x,y,z),y),(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. [para(693(a,2),12117(a,1,1))]. 12132 L(a(x,y,z),(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. [para(4880(a,1),12131(a,1,1))]. 12133 L(a(x,y,z),a(x,y,z),a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. [hyper(2832,a,12132,a)]. 12134 L(a(x,y,z),a(x,y,z),y) = L(z \ L(z,y,x),z,y * x) \ 1. [hyper(57,a,11083,a(flip),b,12133,a)]. 12135 L(a(x,y,z),a(x,y,z),y) = a(z \ 1,y \ 1,x \ 1). [hyper(230,a,11040,a(flip),b,12134,a),flip(a)]. 12136 L(a(x,y,L(y,z,u) \ 1),a(x,L(y,z,u) \ 1,y),L(y,z,u) \ 1) = a(y \ 1,(L(y,z,u) \ 1) \ 1,x \ 1). [para(3297(a,1),12135(a,1,1))]. 12137 L(a(x,L(x,y,z) \ 1,u),a(L(x,y,z) \ 1,x,u),x) = a(u \ 1,x \ 1,(L(x,y,z) \ 1) \ 1). [para(6343(a,1),12135(a,1,1))]. 12138 a(x \ 1,y \ 1,(L(y,z,u) \ 1) \ 1) = a(y,L(y,z,u) \ 1,x). [hyper(6104,a,12137,a),flip(a)]. 12140 a(x \ 1,y \ 1,L(y,z,u)) = a(y,L(y,z,u) \ 1,x). [hyper(57,a,3317,a(flip),b,12138,a)]. 12141 a(x,L(x,y,z) \ 1,u) = a(x,x,L(u \ 1,y,z)). [hyper(57,a,12089,a(flip),b,12140,a),flip(a)]. 12142 a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)). [hyper(230,a,11691,a(flip),b,12141,a),flip(a)]. 12143 a(x,y \ 1,L(y \ 1,z \ 1,u \ 1)) = a(y \ 1,(R(y,z,u) \ 1) \ 1,x). [para(5746(a,1),12142(a,1,2,1)),flip(a)]. 12144 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(u,x,L(x,y,z)). [para(12142(a,1),6344(a,2,2))]. 12145 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * L(u,x,L(x,y,z)). [hyper(230,a,11714,a(flip),b,12144,a),flip(a)]. 12146 (x \ 1) * (x * L(y,x,L(x,z,u))) = L(y,L(x,z,u) \ x,x \ 1). [para(12145(a,1),6331(a,1,2))]. 12147 L(x,L(y,z,u) \ y,y \ 1) != w | L(L(x,y,L(y,z,u)),y,y \ 1) = w. [para(12146(a,1),855(a,1))]. 12148 L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). [hyper(12147,a,11387,a)]. 12149 a(x,y \ 1,L(y \ 1,z \ 1,u \ 1)) = a(y \ 1,R(y,z,u),x). [para(614(a,1),12143(a,2,2))]. 12150 a(x,y \ 1,R(y,z,u) \ 1) = a(y \ 1,R(y,z,u),x). [para(5746(a,1),12149(a,1,3))]. 12151 a(x \ 1,R(x,y,z),u) = a(u,x,L(x,y,z)). [hyper(57,a,11849,a(flip),b,12150,a),flip(a)]. 12152 R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * (u * a(u,x,L(x,y,z))). [para(12151(a,1),6276(a,2,2,2))]. 12153 R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * L(u,x,L(x,y,z)). [para(11718(a,1),12152(a,2,2))]. 12154 x * ((x \ 1) * L(y,x,L(x,z,u))) = L(y,x,x \ R(x,z,u)). [para(12153(a,1),11219(a,1,2))]. 12155 L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y,y \ R(y,z,u)). [hyper(1145,a,12154,a)]. 12156 L(x,y \ 1,L(y,z,u) \ y) = L(x,y,y \ R(y,z,u)). [hyper(57,a,12148,a(flip),b,12155,a)]. 12157 R(x,y \ 1,L(y,z,u) \ y) = L(x,y,y \ R(y,z,u)). [hyper(57,a,11618,a,b,12156,a)]. 12158 x * R(x \ 1,y,y \ L(y,z,u)) = L(x,y,y \ R(y,z,u)) \ x. [para(12157(a,1),11616(a,1,1)),flip(a)]. 12159 a(x \ 1,(L(x,y,z) \ 1) \ 1,u \ 1) = a(u,x,L(x,y,z) \ 1). [hyper(57,a,10695,a(flip),b,12136,a),flip(a)]. 12161 a(x \ 1,L(x,y,z),u \ 1) = a(u,x,L(x,y,z) \ 1). [para(614(a,1),12159(a,1,2))]. 12162 a(x \ 1,y,L(y,z,u)) = a(x,y,L(y,z,u) \ 1). [hyper(57,a,11689,a(flip),b,12161,a)]. 12163 a(x,y,L(y,z,u) \ 1) = a(y,y,L(x,z,u)). [hyper(57,a,11694,a(flip),b,12162,a),flip(a)]. 12164 a(x,x,L(y,z,u)) \ (y * x) = (y * (L(x,z,u) \ x)) / (L(x,z,u) \ 1). [para(12163(a,1),11471(a,1,1))]. 12165 (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = a(L(x,z,u),y,y) * (x * y). [hyper(11338,a,12164,a),flip(a)]. 12166 (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = a(x,y,L(y,z,u)) * (x * y). [para(11686(a,1),12165(a,2,1))]. 12167 (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = x * (y * a(x,y,L(y,z,u))). [hyper(230,a,10182,a(flip),b,12166,a),flip(a)]. 12168 (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = x * L(y,y,L(x \ y,z,u)). [para(11707(a,2),12167(a,2,2))]. 12169 (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = L(x,y,L(y,z,u)) * y. [hyper(230,a,11756,a(flip),b,12168,a),flip(a)]. 12170 ((x * y) \ (L(x,y,L(y,z,u)) * y)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). [para(12169(a,1),12074(a,1,1,2))]. 12171 (x \ (L(y,x,L(x,z,u)) * (y \ x))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). [para(3241(a,1),12170(a,1,1))]. 12172 (x \ ((x / y) * L(y,x,L(x,z,u)))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). [para(3182(a,1),12171(a,1,1,2))]. 12173 (x \ L(x,x,L(y \ x,z,u))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). [para(11755(a,1),12172(a,1,1,2))]. 12174 a(x,x,L(y \ x,z,u)) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). [para(10304(a,1),12173(a,1,1))]. 12175 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). [para(11690(a,1),12174(a,1,1))]. 12176 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(y,z,u) * L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). [para(859(a,1),12175(a,1,2,2,3))]. 12177 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(y * L(y \ 1,y,x),z,u))) = L(L(y,z,u) \ 1,y,x). [para(4316(a,1),12176(a,1,2,2,3))]. 12178 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(a(x,y,y),z,u))) = L(L(y,z,u) \ 1,y,x). [para(10437(a,1),12177(a,1,2,2,3,1))]. 12179 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,a(x,y,L(y,z,u)))) = L(L(y,z,u) \ 1,y,x). [para(11693(a,2),12178(a,1,2,2,3))]. 12180 a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * 1) = L(L(y,z,u) \ 1,y,x). [para(6268(a,1),12179(a,1,2,2))]. 12181 a(x,y,L(y,z,u)) * (L(y,z,u) \ 1) = L(L(y,z,u) \ 1,y,x). [para(3(a,1),12180(a,1,2))]. 12183 L(x,y,z) \ a(u,x,L(x,y,z)) = L(L(x,y,z) \ 1,x,u). [hyper(10282,a,12181,a)]. 12184 L(L(x,y,z) \ 1,x,u) = L(L(x,y,z),x,u) \ 1. [hyper(57,a,11719,a(flip),b,12183,a),flip(a)]. 12185 L(L(x,y,z) \ 1,L(x,y,z),u) = L(L(x,y,z) \ 1,x,L(u,y,z)). [hyper(230,a,11679,a,b,12184,a)]. 12186 a(x,x,L(L(y,z,u) \ 1,y,L(L(y,x,x),z,u))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). [para(12185(a,1),11744(a,1,1,3))]. 12187 a(x,x,L(y,z,u) \ 1) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). [para(1212(a,1),12186(a,1,1,3))]. 12189 a(L(x,y,z),u,u) * L(x \ 1,u,u) = (L(x,y,z) \ 1) * L(x \ L(x,y,z),u,u). [para(10425(a,1),12187(a,1,1))]. 12190 a(x,y,L(y,z,u)) * L(x \ 1,y,y) = (L(x,z,u) \ 1) * L(x \ L(x,z,u),y,y). [para(11686(a,1),12189(a,1,1))]. 12191 L(x,y,y) \ a(x,y,L(y,z,u)) = (L(x,z,u) \ 1) * L(x \ L(x,z,u),y,y). [hyper(57,a,11079,a(flip),b,12190,a)]. 12192 L(x,y,z) \ L(x \ L(x,y,z),u,u) = L(x,u,u) \ a(x,u,L(u,y,z)). [hyper(230,a,5515,a(flip),b,12191,a)]. 12193 L(x,y,z) \ L(x \ L(x,y,z),u,u) = x \ a(a(x,u,u),y,z). [hyper(230,a,11829,a(flip),b,12192,a),flip(a)]. 12194 (x * (x \ a(a(x,y,y),z,u))) \ 1 = a(y,y,x \ L(x,z,u)). [para(12193(a,1),10727(a,1,1,2))]. 12195 a(x,x,y \ L(y,z,u)) = a(a(y,x,x),z,u) \ 1. [hyper(57,a,129,a(flip),b,12194,a),flip(a)]. 12196 a(x \ L(x,y,z),u,u) = a(a(x,u,u),y,z). [hyper(10466,a,12195,a)]. 12198 a(x \ L(x,y,z),u,u) = a(a(u,u,x),y,z) \ 1. [hyper(230,a,11860,a,b,12196,a),flip(a)]. 12199 a(a(x * y,z,z),y,x) = a(a(y,y,x),z,z). [para(11509(a,1),12196(a,1,1)),flip(a)]. 12200 a(x,x,y \ L(y,z,u)) = a(a(x,x,y),z,u). [hyper(10452,a,12198,a)]. 12201 a(a(x,x,y),z \ 1,u \ 1) = a(y * R(y \ 1,z,u),x,x). [hyper(10482,a,12200,a),flip(a)]. 12202 a(a(a(x,x,y),z,u),w,x) = 1. [para(12200(a,1),6099(a,1,1))]. 12203 L(x,a(a(y,y,z),u,w),y) = x. [para(12200(a,1),11437(a,1,2))]. 12204 (x \ 1) \ a(a(x,x,y),z,u) = x * a(a(x,x,y),z,u). [para(12202(a,1),10477(a,1,1,2))]. 12205 L(x,a(a(y,y,z),u,w),y) != v5 | x = v5. [para(12203(a,1),44(a,2))]. 12206 (x * y) * L(a(a(y,y,z),u,w),y,x) = x * ((y \ 1) \ a(a(y,y,z),u,w)). [para(12204(a,2),81(a,2,2))]. 12207 a(a(x,x,y),z,(u \ 1) \ 1) = a(y * R(y \ 1,z,u),x,x). [hyper(57,a,11947,a(flip),b,12201,a)]. 12208 a(x * R(x \ 1,y,z),u,u) = a(a(u,u,x),y,z). [hyper(57,a,3317,a(flip),b,12207,a),flip(a)]. 12209 a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(a(u,u,z),x,y). [hyper(57,a,11993,a,b,12208,a)]. 12210 x * a(a((x * x) \ (y \ (x * x)),x,x),z,z) = L(x,x,a(z,z,y) \ x). [para(12209(a,2),10448(a,2,2)),flip(a)]. 12211 x * a(a(x \ (y \ (x * x)),x,x),z,z) = L(x,x,a(z,z,y) \ x). [para(10747(a,1),12210(a,1,2,1))]. 12212 x * a(a(y \ (x * x),x,x),z,z) = L(x,x,a(z,z,y) \ x). [para(6267(a,1),12211(a,1,2,1))]. 12213 x * a(a(y \ x,x,x),z,z) = L(x,x,a(z,z,y) \ x). [para(10753(a,1),12212(a,1,2,1))]. 12214 L(x,x,a(y,y,z) \ x) = x * a(a(x,x,z),y,y). [para(10430(a,1),12213(a,1,2,1)),flip(a)]. 12215 (x * y) * a(a(y,y,L(z,y,x)),u,w) = x * ((y \ 1) \ a(a(y,y,z),u,w)). [para(11725(a,2),12206(a,1,2))]. 12216 x * ((y \ 1) \ a(a(y,y,z),u,w)) = (x * y) * a(a(y,y,z),u,w). [para(11431(a,1),12215(a,1,2,1)),flip(a)]. 12218 (x * y) * a(a(y,y,z),u,w) = x * (y * a(a(y,y,z),u,w)). [para(12204(a,1),12216(a,1,2)),flip(a)]. 12219 R(x,y,a(a(y,y,z),u,w)) = x. [hyper(314,a,12218,a)]. 12221 L(L(x,y,z) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. [para(5(a,1),12059(a,1,1,1))]. 12223 L(L(x,y,z) \ (u \ ((u * x) * (x \ L(x,y,z)))),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. [para(12047(a,1),12221(a,1,1,2))]. 12224 L(a(x,y,y \ L(y,z,u)),(y * (y \ L(y,z,u))) \ ((y * ((y \ L(y,z,u)) * x)) / x),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. [para(6143(a,1),12223(a,1,1))]. 12225 L(a(x,y,y \ L(y,z,u)),L(y,z,u) \ ((y * ((y \ L(y,z,u)) * x)) / x),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. [para(5(a,1),12224(a,1,2,1))]. 12227 L(a(x,y,y \ L(y,z,u)),L(y,z,u) \ (x \ ((x * y) * (y \ L(y,z,u)))),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. [para(12047(a,1),12225(a,1,2,2))]. 12228 L(a(x,y,y \ L(y,z,u)),a(x,y,y \ L(y,z,u)),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. [para(6143(a,1),12227(a,1,2))]. 12229 a((x \ L(x,y,z)) \ 1,x \ 1,u \ 1) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. [hyper(11598,a,12228,a)]. 12230 a(L(x,y,z) \ x,x \ 1,u \ 1) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. [para(5428(a,1),12229(a,1,1))]. 12231 a(L(x,y,z) \ x,x \ 1,u \ 1) = a(u,x,x \ L(x,y,z)). [hyper(230,a,614,a(flip),b,12230,a),flip(a)]. 12232 a(L(x,y,z) \ x,x \ 1,u) = a(u \ 1,x,x \ L(x,y,z)). [hyper(57,a,3317,a(flip),b,12231,a)]. 12233 a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a((R(y,z,u) \ y) \ 1,(y \ 1) \ 1,x). [para(5754(a,1),12232(a,1,1)),flip(a)]. 12234 a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a(y \ R(y,z,u),(y \ 1) \ 1,x). [para(2329(a,1),12233(a,2,1))]. 12235 a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a(y \ R(y,z,u),y,x). [para(614(a,1),12234(a,2,2))]. 12236 a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) != w | a(y,y \ R(y,z,u),x) = w. [para(12235(a,2),11226(a,1))]. 12237 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (L(x,y,z) * R(L(x,y,z) \ (u * (x \ L(x,y,z))),x,x \ L(x,y,z))) / (x \ L(x,y,z)). [para(5(a,1),11615(a,1,1,2,1,1)),flip(a)]. 12239 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (L(x,y,z) * R((L(x,y,z) \ u) * (x \ L(x,y,z)),x,x \ L(x,y,z))) / (x \ L(x,y,z)). [para(5421(a,1),12237(a,2,1,2,1))]. 12240 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (x * ((x \ L(x,y,z)) * ((L(x,y,z) \ u) * (x \ L(x,y,z))))) / (x \ L(x,y,z)). [para(11609(a,1),12239(a,2,1))]. 12241 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * (((x \ L(x,y,z)) * ((L(x,y,z) \ u) * (x \ L(x,y,z)))) / (x \ L(x,y,z))). [hyper(230,a,5425,a(flip),b,12240,a),flip(a)]. 12242 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (((L(x,y,z) \ u) * (x \ L(x,y,z))) / (x \ L(x,y,z)))). [para(607(a,1),12241(a,2,2))]. 12243 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). [para(6(a,1),12242(a,2,2,2))]. 12244 (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * (L(x,y,z) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). [para(5(a,1),12243(a,1,2,2,2,1))]. 12246 x * ((x \ L(x,y,z)) \ ((x \ L(x,y,z)) * (L(x,y,z) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). [hyper(57,a,6508,a(flip),b,12244,a)]. 12248 x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). [hyper(336,a,12246,a)]. 12250 x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)) = L(u,x,x \ L(x,y,z)). [hyper(57,a,6527,a(flip),b,12248,a),flip(a)]. 12251 a(x,x \ L(x,y,z),(x * (x \ L(x,y,z))) \ u) = L(u,x,x \ L(x,y,z)) \ u. [para(12250(a,1),471(a,2,1))]. 12252 a(x,x \ L(x,y,z),L(x,y,z) \ u) = L(u,x,x \ L(x,y,z)) \ u. [para(5(a,1),12251(a,1,3,1))]. 12253 L(x,y,y \ L(y,z,u)) \ x = a(y,y \ L(y,z,u),x). [hyper(57,a,11543,a(flip),b,12252,a),flip(a)]. 12256 a(x,x \ L(x,y,z),u) \ 1 = u \ L(u,x,x \ L(x,y,z)). [para(12253(a,1),5423(a,1,1))]. 12257 x \ L(x,y,y \ L(y,z,u)) = a(x,y,y \ L(y,z,u)). [hyper(12058,a,12256,a),flip(a)]. 12258 x * R(x \ 1,y,y \ L(y,z,u)) = a(x \ 1,y,y \ L(y,z,u)). [hyper(57,a,11612,a(flip),b,12257,a)]. 12259 (x / y) \ (x * (((y \ L(y,z,u)) \ ((y \ L(y,z,u)) / y)) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(10600(a,2),12257(a,1,2))]. 12260 a(x \ 1,y,y \ L(y,z,u)) = L(x,y,y \ R(y,z,u)) \ x. [hyper(57,a,12158,a(flip),b,12258,a),flip(a)]. 12261 a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) \ x. [para(5717(a,1),12260(a,2,1,3,2))]. 12262 L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) \ x = a(y,y \ R(y,z,u),x). [hyper(12236,a,12261,a),flip(a)]. 12263 L(x,y \ 1,L(y,z,u) \ y) \ x = a(y,y \ R(y,z,u),x). [para(6392(a,1),12262(a,1,1,3))]. 12264 L(x,y,y \ R(y,z,u)) \ x = a(y,y \ R(y,z,u),x). [para(12156(a,1),12263(a,1,1))]. 12265 a(x \ 1,y,y \ L(y,z,u)) = a(y,y \ R(y,z,u),x). [hyper(57,a,12260,a,b,12264,a)]. 12266 a(L(x,y,z) \ x,x \ 1,u) = a(x,x \ R(x,y,z),u). [hyper(57,a,12232,a,b,12265,a)]. 12267 a(x \ K(y,x),z,z \ L(z,u,w)) = a(z,z \ R(z,u,w),x). [hyper(57,a,11581,a,b,12265,a)]. 12268 (x / y) \ (x * (((y \ L(y,z,u)) \ (y \ (L(y,z,u) / y))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(707(a,1),12259(a,1,2,2,1,2))]. 12269 (x / y) \ (x * (((y \ L(y,z,u)) \ (y \ (y \ L(y,z,u)))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(710(a,1),12268(a,1,2,2,1,2,2))]. 12270 (x / y) \ (x * ((L(y,z,u) \ (y \ L(y,z,u))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(2320(a,1),12269(a,1,2,2,1))]. 12271 (x / y) \ (x * ((y \ 1) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(1217(a,1),12270(a,1,2,2,1))]. 12272 (x / y) \ (x * ((y \ 1) * a(L(y,z,u),(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). [para(681(a,1),12271(a,1,2,2,2,1))]. 12274 (x / y) \ (x * ((y \ 1) * a(L(y,z,u),L(y,z,u) \ (y \ L(y,z,u)),x))) = a(x / y,y,y \ L(y,z,u)). [para(2320(a,1),12272(a,1,2,2,2,2))]. 12275 (x / y) \ (x * ((y \ 1) * a(L(y,z,u),y \ 1,x))) = a(x / y,y,y \ L(y,z,u)). [para(1217(a,1),12274(a,1,2,2,2,2))]. 12277 (x / y) \ (x * ((y \ 1) * a(x,y,L(y,z,u)))) = a(x / y,y,y \ L(y,z,u)). [para(11688(a,1),12275(a,1,2,2,2))]. 12278 a(x / y,y,y \ L(y,z,u)) = (x / y) \ (x * (L(y,y,L(x,z,u)) \ 1)). [para(11700(a,1),12277(a,1,2,2)),flip(a)]. 12279 a(x / y,y,y \ L(y,z,u)) = (x / y) \ (x * L(y \ 1,y,L(x,z,u))). [para(10303(a,2),12278(a,2,2,2))]. 12280 a(x \ y,x,x \ L(x,z,u)) = (y / x) \ (y * L(x \ 1,x,L(y,z,u))). [hyper(57,a,6189,a(flip),b,12279,a)]. 12281 (x / y) \ (x * L(y \ 1,y,L(x,z,u))) = a(x,y,y \ L(y,z,u)). [hyper(12050,a,12280,a),flip(a)]. 12282 (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = a(y,x,x \ L(x,z,u)). [hyper(57,a,11732,a,b,12281,a)]. 12283 (x \ y) \ (((x \ 1) * y) * L(a(y,x,x),z,u)) = a(y,x,x \ L(x,z,u)). [para(10439(a,1),12282(a,1,2,2,1))]. 12284 (x \ y) \ (((x \ 1) * y) * a(y,x,L(x,z,u))) = a(y,x,x \ L(x,z,u)). [para(11693(a,2),12283(a,1,2,2))]. 12285 (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(y,x,x \ L(x,z,u)). [para(11720(a,1),12284(a,1,2))]. 12286 a(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u). [hyper(57,a,12025,a(flip),b,12285,a),flip(a)]. 12287 a(a(x \ K(y,x),z,z),u,w) = a(z,z \ R(z,u,w),x). [hyper(57,a,12267,a(flip),b,12286,a),flip(a)]. 12288 a(a(x,y,y),z,L(z \ 1,z,u)) = a(x,y,y \ L(y,z,z \ 1)). [para(10782(a,1),12286(a,1,3,2)),flip(a)]. 12289 a(x,x \ L(x,y,z),u) = a(a(u,x,x),y,z) \ 1. [para(12286(a,1),12055(a,1,1)),flip(a)]. 12290 L(x,y,z) = (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(a(z * y,x,x),y,z)). [para(12286(a,1),12078(a,1,2,2)),flip(a)]. 12291 a(x,x \ L(x,y,z),u) = a(a(x,x,u),y,z) * 1. [hyper(230,a,11942,a(flip),b,12289,a),flip(a)]. 12292 a(x,x \ L(x,y,z),u) = a(a(x,x,u),y,z). [hyper(230,a,3,a(flip),b,12291,a),flip(a)]. 12293 R(x,x \ L(x,y,z),u) = x * a(a(x,x,u),y,z). [para(12292(a,1),12130(a,1,2)),flip(a)]. 12294 R(x,x \ L(x,y,z),u) \ (x * (a(a(x,x,u),y,z) * w)) = L(w,a(a(x,x,u),y,z),x). [para(12293(a,2),13(a,2,1)),flip(a)]. 12295 R(x,x \ L(x,y,z),u) * L(w,a(a(x,x,u),y,z),x) = x * (a(a(x,x,u),y,z) * w). [para(12293(a,2),81(a,1,1))]. 12296 x \ (L(y,a(a(x,x,z),u,w),x) * R(x,x \ L(x,u,w),z)) = a(a(x,x,z),u,w) * T(y,x * a(a(x,x,z),u,w)). [para(12293(a,2),358(a,1,2,2))]. 12297 R(T(x / y,R(y,y \ L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). [para(12293(a,2),458(a,1,1,2))]. 12298 a(x,x \ R(x,y,z),u) = a(a(x,x,u),y,z). [para(11781(a,1),12287(a,1,1)),flip(a)]. 12299 a(L(x,y,z) \ x,x \ 1,u) = a(a(x,x,u),y,z). [hyper(57,a,12266,a,b,12298,a)]. 12301 a(a(x,y,y),z,L(z \ 1,z,u)) = a(x,y,a(z,z,y)). [para(6581(a,1),12288(a,2,3))]. 12302 a(x,x,L(a(y,z,z),x,u)) = a(y,z,a(x,x,z)). [hyper(57,a,12083,a(flip),b,12301,a)]. 12303 a(a(x,x,y),z,z) = a(y,x,a(z,z,x)). [hyper(57,a,12097,a(flip),b,12302,a)]. 12304 x * a(y,z,a(x,x,z)) = L(x,x,a(y,z,z)). [para(12302(a,1),11435(a,1,2))]. 12305 a(a(x * y,z,z),y,x) = a(x,y,a(z,z,y)). [hyper(57,a,12199,a,b,12303,a)]. 12306 L(x,x,a(y,y,z) \ x) = x * a(z,x,a(y,y,x)). [para(12303(a,1),12214(a,2,2))]. 12307 L(x,x,a(y,y,z) \ x) = L(x,a(x,y,y),z). [hyper(230,a,12123,a(flip),b,12306,a),flip(a)]. 12308 L(x,x,a(y,z,z) * x) = L(x,a(x,z,z),y). [para(11327(a,1),12307(a,1,3))]. 12309 L(x,a(x,y,y),z) = L(x,x,a(z,y,y)). [hyper(11084,a,12308,a),flip(a)]. 12311 L(x,x,a(x \ y,z,z)) = L(x,a(x,z,z),y). [hyper(57,a,11162,a(flip),b,12309,a),flip(a)]. 12312 L(x \ y,x \ y,a(z,x,x)) = L(x \ y,a(y,x,x),z). [para(6267(a,1),12309(a,1,2)),flip(a)]. 12313 L(x,x,a(x \ y,z,z)) = L(x,x,a(y,z,z)). [hyper(230,a,12309,a(flip),b,12311,a),flip(a)]. 12314 L(x,y,z) = (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(z,y,a(x,x,y))). [para(12305(a,1),12290(a,2,2,2))]. 12315 (a(x \ 1,y \ 1,z \ 1) \ 1) * L(x,x,a(z,y,y)) = L(x,y,z). [para(12304(a,1),12314(a,2,2)),flip(a)]. 12316 a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z,y,y)) = L(x,y,z). [hyper(57,a,10804,a(flip),b,12315,a)]. 12317 a((x \ L(x,y,z)) \ 1,x \ 1,(L(x,u,w) \ v5) \ 1) \ L(x \ L(x,y,z),x \ L(x,y,z),a(L(x,u,w) \ v5,x,x)) = L(x \ L(x,y,z),x,v5). [hyper(230,a,11441,a(flip),b,12316,a),flip(a)]. 12318 a(x \ 1,y \ 1,(z * x) \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,x * z). [hyper(230,a,3435,a(flip),b,12316,a),flip(a)]. 12319 a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(x \ z,y,y)) = L(x,y,x \ z). [para(11564(a,1),12316(a,1,1))]. 12320 a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z,y,y)) = L(x,y,x \ z). [para(12313(a,1),12319(a,1,2))]. 12321 L(x,y,x \ z) = L(x,y,z). [hyper(57,a,12316,a(flip),b,12320,a),flip(a)]. 12323 L(x,y,x * z) = L(x,y,z). [para(4(a,1),12321(a,1,3)),flip(a)]. 12327 a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,x * z). [para(11565(a,1),12318(a,1,1))]. 12328 a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,z). [hyper(230,a,12323,a(flip),b,12327,a),flip(a)]. 12329 a(x,x,L(y \ 1,z,u)) \ L(x,x,a(y * x,L(x,z,u),L(x,z,u))) = L(x,L(x,z,u),y). [para(11737(a,1),12328(a,1,1))]. 12330 L(a(a(x,y,y),z,u) * (y \ w),a(a(y,y,x),z,u),y) = R(y,y \ L(y,z,u),x) \ w. [para(11943(a,1),12294(a,1,2)),flip(a)]. 12331 R(x,x \ L(x,y,z),u) * w = x * (a(a(x,x,u),y,z) * w). [para(12203(a,1),12295(a,1,2))]. 12332 ((x \ L(x,y,z)) / x) * R(x,x \ L(x,y,z),u) = x * (a(a(x,x,u),y,z) * (x \ (x \ L(x,y,z)))). [hyper(57,a,11530,a(flip),b,12331,a)]. 12334 R(x,x \ L(x,y,z),u) \ w != v5 | a(a(u,x,x),y,z) * (x \ w) = v5. [para(12330(a,1),12205(a,1))]. 12336 a(x,y,L(y,z,u)) \ L(y,y,a(x * y,L(y,z,u),L(y,z,u))) = L(y,L(y,z,u),x). [para(11691(a,1),12329(a,1,1))]. 12337 a(x,y,L(y,z,u)) \ y = L(y,L(y,z,u),x). [para(10274(a,1),12336(a,1,2))]. 12338 a(x,x,L(y,z,u)) * x = L(x,L(x,z,u),y). [hyper(11701,a,12337,a)]. 12339 x * a(x,x,L(y,z,u)) = L(x,L(x,z,u),y). [hyper(6745,a,12338,a)]. 12340 L(x,L(x,y,z),u) = L(x,x,L(u,y,z)). [hyper(10310,a,12339,a),flip(a)]. 12341 L(L(x,x,L(y,z,u)),w,v5) \ L(x,L(x,z,u),y) = L(L(x,w,v5) \ x,L(x,z,u),y). [para(12340(a,1),5902(a,1,1,1))]. 12342 L(L(x,x,L(y,z,u)),w,v5) \ L(x,x,L(y,z,u)) = L(L(x,w,v5) \ x,L(x,z,u),y). [para(12340(a,1),12341(a,1,2))]. 12343 L(L(x,y,z) \ x,L(x,u,w),v5) = L(L(x,y,z) \ x,x,L(v5,u,w)). [hyper(57,a,5902,a(flip),b,12342,a),flip(a)]. 12344 L(L(x,y,z) \ x,x,L(z * y,y,z)) != u | a(z,y,x) = u. [para(12343(a,1),1322(a,1))]. 12345 a(a(x,x,y),z,u) * T(w,x * a(a(x,x,y),z,u)) = x \ (w * R(x,x \ L(x,z,u),y)). [para(12203(a,1),12296(a,1,2,1)),flip(a)]. 12346 a(a(x,x,y),z,u) * T(w,x * a(a(x,x,y),z,u)) = (x \ w) * R(x,x \ L(x,z,u),y). [hyper(230,a,658,a(flip),b,12345,a),flip(a)]. 12347 a(a(x,x,y),z,u) * T(w,R(x,x \ L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). [para(12293(a,2),12346(a,1,2,2))]. 12348 a(a(x,x,y),z,u) * T(w,L(x,x \ L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). [para(6867(a,1),12347(a,1,2))]. 12349 a(a(x,x,y),z,u) * T(w,L(x,L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). [para(4621(a,1),12348(a,1,2))]. 12350 a(a(x,x,y),z,u) * T(w,L(x,x,L(y,z,u))) = (x \ w) * R(x,x \ L(x,z,u),y). [para(10224(a,1),12349(a,1,2))]. 12351 (x \ y) * R(x,x \ L(x,z,u),w) = a(a(x,x,w),z,u) * T(y,x). [para(4600(a,1),12350(a,1,2)),flip(a)]. 12352 (x \ y) * R(x,x \ L(x,z,u),w) = T(a(a(x,x,w),z,u) * y,x). [hyper(230,a,11897,a,b,12351,a),flip(a)]. 12354 R(T(x / y,L(y,y \ L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). [para(6867(a,1),12297(a,1,1))]. 12355 R(T(x / y,L(y,L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). [para(4621(a,1),12354(a,1,1))]. 12356 R(T(x / y,L(y,y,L(z,u,w))),y,a(a(y,y,z),u,w)) = (y * a(a(y,y,z),u,w)) \ (x * a(a(y,y,z),u,w)). [para(10224(a,1),12355(a,1,1))]. 12357 (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = R(T(w / x,x),x,a(a(x,x,y),z,u)). [para(4600(a,1),12356(a,1,1)),flip(a)]. 12358 (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = R(x \ w,x,a(a(x,x,y),z,u)). [para(95(a,1),12357(a,2,1))]. 12360 (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = x \ w. [hyper(230,a,12219,a(flip),b,12358,a),flip(a)]. 12362 R(x,x \ L(x,y,z),u) \ (w * a(a(x,x,u),y,z)) = x \ w. [para(12293(a,2),12360(a,1,1))]. 12363 a(a(x,y,y),z,u) * (y \ (w * a(a(y,y,x),z,u))) = y \ w. [hyper(12334,a,12362,a)]. 12364 x * (a(a(x,x,y),z,u) * (x \ w)) = w * a(a(x,x,y),z,u). [para(12363(a,1),11943(a,1,2,2))]. 12365 ((x \ L(x,y,z)) / x) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). [hyper(57,a,12332,a,b,12364,a)]. 12366 (x \ (L(x,y,z) / x)) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). [para(707(a,1),12365(a,1,1))]. 12367 (x \ (x \ L(x,y,z))) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). [para(710(a,1),12366(a,1,1,2))]. 12368 T(a(a(x,x,y),z,u) * (x \ L(x,z,u)),x) = (x \ L(x,z,u)) * a(a(x,x,y),z,u). [hyper(57,a,12352,a(flip),b,12367,a)]. 12369 a(L(x,y,z) \ x,x \ 1,(L(x,u,w) \ v5) \ 1) \ L(x \ L(x,y,z),x \ L(x,y,z),a(L(x,u,w) \ v5,x,x)) = L(x \ L(x,y,z),x,v5). [para(5428(a,1),12317(a,1,1,1))]. 12370 a(a(x,x,(L(x,y,z) \ u) \ 1),w,v5) \ L(x \ L(x,w,v5),x \ L(x,w,v5),a(L(x,y,z) \ u,x,x)) = L(x \ L(x,w,v5),x,u). [para(12299(a,1),12369(a,1,1))]. 12371 a(a(L(x,y,z) \ u,x,x),w,v5) \ L(x \ L(x,w,v5),x \ L(x,w,v5),a(L(x,y,z) \ u,x,x)) = L(x \ L(x,w,v5),x,u). [para(10425(a,1),12370(a,1,1,1))]. 12372 a(a(x,y,y),z,u) \ L(y \ L(y,z,u),y \ L(y,z,u),a(L(y,w,v5) \ x,y,y)) = L(y \ L(y,z,u),y,x). [para(10520(a,1),12371(a,1,1,1))]. 12373 a(a(x,y,y),z,u) \ L(y \ L(y,z,u),y \ L(y,z,u),a(x,y,y)) = L(y \ L(y,z,u),y,x). [para(10520(a,1),12372(a,1,2,3))]. 12375 a(a(x,y,y),z,u) \ L(y \ L(y,z,u),a(L(y,z,u),y,y),x) = L(y \ L(y,z,u),y,x). [para(12312(a,1),12373(a,1,2))]. 12376 a(a(x,y,y),z,u) \ L(y \ L(y,z,u),1,x) = L(y \ L(y,z,u),y,x). [para(661(a,1),12375(a,1,2,2))]. 12378 a(a(x,y,y),z,u) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),y,x). [para(1621(a,1),12376(a,1,2))]. 12379 a(a(x,x,y),z,u) * (x \ L(x,z,u)) = L(x \ L(x,z,u),x,y). [hyper(57,a,11942,a(flip),b,12378,a)]. 12381 (x \ L(x,y,z)) * a(a(x,x,u),y,z) = T(L(x \ L(x,y,z),x,u),x). [para(12379(a,1),12368(a,1,1)),flip(a)]. 12382 (x \ L(x,y,z)) * a(a(x,x,u),y,z) = L(T(x \ L(x,y,z),x),x,u). [hyper(230,a,20,a,b,12381,a),flip(a)]. 12383 (x \ L(x,y,z)) * a(a(x,x,u),y,z) = L(x \ L(x,y,z),x,u). [para(753(a,1),12382(a,2,1))]. 12384 L(x \ L(x,y,z),x,L(u,w,z)) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). [para(11727(a,1),12383(a,1,2)),flip(a)]. 12385 L(x \ L(x,y,z),x,L(u,w,z)) = L(x \ L(x,y,z),x,u). [hyper(230,a,12383,a(flip),b,12384,a),flip(a)]. 12386 L(L(x,y,z) \ x,x,L(u,w,z)) = L(x \ L(x,y,z),x,u) \ 1. [para(12385(a,1),11106(a,1,1)),flip(a)]. 12387 L(L(x,y,z) \ x,x,L(u,w,z)) = L(L(x,y,z) \ x,x,u). [hyper(230,a,11106,a(flip),b,12386,a),flip(a)]. 12388 a(x,y,z) = L(L(z,y,x) \ z,z,x * y). [hyper(12344,a,12387,a)]. 12389 a(x \ 1,y \ 1,z \ 1) = a(z,y,x). [hyper(230,a,11110,a(flip),b,12388,a)]. 12391 a(x,y,L(z,y,x)) = a(x,y,z). [hyper(11224,a,12389,a),flip(a)]. 12400 a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)). [para(222(a,1),12391(a,1,3))]. 12401 a(x,x \ y,(x \ y) \ z) = a(x,x \ y,y \ (x * z)). [para(298(a,1),12391(a,1,3)),flip(a)]. 12402 a(x \ 1,y \ 1,R(z,y,x) \ 1) = a(x \ 1,y \ 1,z \ 1). [para(5746(a,1),12391(a,1,3))]. 12403 a(x,y,(x * y) \ z) = a(x,y,y \ z). [hyper(230,a,11495,a(flip),b,12400,a),flip(a)]. 12404 a(x,x \ y,(x \ y) \ z) = a(x,x \ y,y \ z). [para(5(a,1),12403(a,1,3,1)),flip(a)]. 12406 a(x,x \ y,y \ (x * z)) = a(x,x \ y,y \ z). [hyper(57,a,12404,a(flip),b,12401,a),flip(a)]. 12407 a(x,x \ y,y \ z) \ z = (x \ y) * (y \ (x * z)). [para(12406(a,1),7361(a,1,1))]. 12408 (x \ y) * (y \ (x * z)) = x * ((x \ y) * (y \ z)). [hyper(5179,a,12407,a),flip(a)]. 12409 x * ((x \ (x * y)) * ((x * y) \ (y * z))) = (x \ (x * y)) * L(z,y,x). [para(13(a,2),12408(a,1,2)),flip(a)]. 12410 a(R(x,y,z),y,z) = a(z \ 1,y \ 1,x \ 1). [hyper(57,a,12389,a(flip),b,12402,a)]. 12411 a(R(x,y,z),y,z) = a(x,y,z). [hyper(230,a,12389,a(flip),b,12410,a),flip(a)]. 12413 K(x,y) * (R(x,z,u) * z) = T(x,y) * (z * a(x,z,u)). [para(12411(a,1),11535(a,1,2,2)),flip(a)]. 12414 L(x,y,z) = (K(z,y) * (R(z,y,x) * y)) \ (T(z * y,y) * x). [para(12413(a,2),6246(a,2,1))]. 12415 L(x,y,z) = T(R(z,y,x) * y,y) \ (T(z * y,y) * x). [para(11539(a,1),12414(a,2,1))]. 12416 L(x,y,R(z,y,x)) = L(x,y,z). [hyper(230,a,2851,a(flip),b,12415,a)]. 12417 L(x,y,z) = (R(z,y,x) * y) \ ((z * y) * x). [hyper(57,a,309,a,b,12416,a),flip(a)]. 12418 L(x,y,(z / x) / y) = L(x,y,z / (y * x)). [para(225(a,1),12416(a,1,3)),flip(a)]. 12419 L(x,y,(z / x) / y) = L(x,y,(y * x) \ z). [hyper(230,a,5017,a(flip),b,12418,a),flip(a)]. 12420 L(x,y,(y * x) \ z) = L(x,y,y \ (z / x)). [hyper(2856,a,12419,a),flip(a)]. 12421 L(x,y,R(x \ (y \ z),x,y)) = L(x,y,y \ (z / x)). [hyper(57,a,11272,a,b,12420,a)]. 12422 L(x,y,y \ (z / x)) = ((z / (y * x)) * y) \ z. [hyper(57,a,4984,a(flip),b,12420,a),flip(a)]. 12423 L(x,y,y \ (x \ z)) = ((z / (y * x)) * y) \ z. [hyper(57,a,11422,a(flip),b,12422,a)]. 12424 L(x,y,R(x \ (y \ z),x,y)) = L(x,y,y \ (x \ z)). [hyper(230,a,11422,a(flip),b,12421,a),flip(a)]. 12425 x * ((x \ (x * y)) * ((x * y) \ (y * z))) = y * L(z,y,x). [para(4(a,1),12409(a,2,1))]. 12426 x * (y * ((x * y) \ (y * z))) = y * L(z,y,x). [para(4(a,1),12425(a,1,2,1))]. 12427 x \ (x * L(y,x,z)) = z * L(z \ y,x,z). [para(12426(a,1),3219(a,1,2))]. 12428 x * L(x \ y,z,x) = L(y,z,x). [hyper(241,a,12427,a),flip(a)]. 12429 L(x * y,z,y) = L(x,z,y) * y. [hyper(442,a,12428,a),flip(a)]. 12431 L(x \ 1,y \ 1,z \ 1) * (z \ 1) = R(((z \ 1) \ 1) * x,y,z) \ 1. [hyper(57,a,5748,a(flip),b,12429,a),flip(a)]. 12432 R(((x \ 1) \ 1) * y,z,x) \ 1 = (R(y,z,x) \ 1) * (x \ 1). [para(5746(a,1),12431(a,1,1)),flip(a)]. 12433 R(((x \ 1) \ 1) * y,z,x) \ 1 = (x * R(y,z,x)) \ 1. [hyper(230,a,5585,a(flip),b,12432,a),flip(a)]. 12434 R(x * y,z,x) \ 1 = (x * R(y,z,x)) \ 1. [para(614(a,1),12433(a,1,1,1,1))]. 12435 R(x * y,z,x) = x * R(y,z,x). [hyper(42,a,12434,a)]. 12437 (R(x * y,z,x) * z) \ (((x * y) * z) * x) = L(x,z,L(y,x,z)). [para(12435(a,2),6305(a,1,1,1))]. 12438 L(x,y,L(z,x,y)) = L(x,y,x * z). [hyper(57,a,12417,a,b,12437,a),flip(a)]. 12439 L(x,y,L(z,x,y)) = L(x,y,z). [hyper(230,a,12323,a(flip),b,12438,a),flip(a)]. 12440 L(x,y,x \ T(z,T(y,x))) = L(x,y,R(x \ z,x,y)). [hyper(57,a,11145,a(flip),b,12439,a),flip(a)]. 12441 L(x,y,R(x \ z,x,y)) = L(x,y,T(z,T(y,x))). [hyper(57,a,12321,a(flip),b,12440,a),flip(a)]. 12442 L(x,y,R(x \ z,x,y)) = L(x,y,T(z,y)). [hyper(230,a,8517,a(flip),b,12441,a),flip(a)]. 12444 L(x,y,R(x \ z,x,y)) = L(x,y,z). [hyper(230,a,2837,a(flip),b,12442,a),flip(a)]. 12445 L(x,y,y \ (x \ z)) = L(x,y,y \ z). [hyper(57,a,12424,a(flip),b,12444,a)]. 12446 ((x / (y * z)) * y) \ x = L(z,y,y \ x). [hyper(57,a,12423,a(flip),b,12445,a)]. 12447 ((x / (y * (y \ z))) * y) \ x = x \ ((x / y) * z). [hyper(230,a,2844,a(flip),b,12446,a),flip(a)]. 12448 ((x / y) * z) \ x = x \ ((x / z) * y). [para(5(a,1),12447(a,1,1,1,2))]. 12449 L(x \ y,x,y \ z) = z \ ((z / x) * y). [hyper(4982,a,12448,a)]. 12451 L((x \ y) \ z,x \ y,z \ y) = y \ (x * z). [para(69(a,1),12449(a,2,2,1))]. 12452 L(x / L((y \ x) \ z,y \ x,z \ x),L(u,w,w \ u) \ v5,K(v6,u \ v5)) = x * ((y * z) \ x). [para(12451(a,2),11972(a,1,1,2))]. 12453 L((x / y) * (z \ x),L(u,w,w \ u) \ v5,K(v6,u \ v5)) = x * ((z * y) \ x). [para(4983(a,1),12452(a,1,1))]. 12454 (x / y) * (z \ x) = x * ((z * y) \ x). [hyper(1718,a,12453,a)]. 12455 $F # answer("middle Bol"). [resolve(12454,a,58,a)]. ============================== end of proof ==========================