============================== prooftrans ============================ Prover9 (64) version 2022-xxA, December 2021. Process 31460 was started by veroff on b146-05, Sat Feb 12 15:06:20 2022 The command was "prover9 -f aa1_15.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 652.02 (+ 30.74) seconds.: "aa1{x1/x5}". % Length of proof: 6564 (0 new hints) % Level of proof: 447 % Maximum clause weight: 65.000 % Given clauses in run: 7699 % Given clauses in proof: 6551 (0 new hints) 1 a(a(x,y,z),u,x) = 1 # label("aa1{x1/x5}") # 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) \ x) = (x / z) * (y \ x) # label("middle Bol"). [assumption]. 28 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(27),flip(a)]. 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 59 a(a(c1,c2,c3),c4,c1) != 1 # label("aa1{x1/x5}") # answer("aa1{x1/x5}"). [deny(1)]. 60 1 \ x = x. [para(2(a,1),4(a,1,2))]. 61 x \ x = 1. [para(3(a,1),4(a,1,2))]. 62 x \ (y \ (y * (x * z))) = z. [para(4(a,2),4(a,1,2))]. 63 (x * (x \ 1)) * y = y. [para(5(a,2),2(a,1,1))]. 64 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(5(a,2),4(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 67 x / x = 1. [para(2(a,1),6(a,1,1))]. 68 x / 1 = x. [para(3(a,1),6(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. 70 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(7(a,2),3(a,1,2))]. 73 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 74 (((x * y) / z) * z) / y = x. [para(7(a,2),6(a,1,1))]. 75 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. 76 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 79 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(5(a,1),9(a,2,2)),flip(a)]. 80 x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z). [para(7(a,1),9(a,2,1)),flip(a)]. 81 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(7(a,1),9(a,2,2,1)),flip(a)]. 82 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 83 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 84 ((x \ y) * x) \ y = K(x,x \ y). [para(5(a,1),11(a,2,2)),flip(a)]. 85 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. 86 x \ (1 * (x * y)) = L(y,x,1). [para(2(a,1),13(a,2,1)),flip(a)]. 87 (x * 1) \ (x * y) = L(y,1,x). [para(2(a,1),13(a,2,2,2)),flip(a)]. 88 (x * y) \ (x * y) = L(1,y,x). [para(3(a,1),13(a,2,2,2)),flip(a)]. 89 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 90 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 91 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 92 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. 93 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(7(a,1),13(a,2,2,2))]. 94 ((x * 1) * y) / y = R(x,1,y). [para(2(a,1),15(a,2,2)),flip(a)]. 95 (x * y) / (y * 1) = R(x,y,1). [para(3(a,1),15(a,2,1)),flip(a)]. 96 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. 98 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(5(a,1),15(a,2,2)),flip(a)]. 99 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 100 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 101 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(7(a,1),15(a,2,2)),flip(a)]. 102 T(x,x) = x. [para(17(a,2),4(a,1))]. 103 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 104 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 105 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 106 x \ (T(y,z) * x) = T(T(y,x),z). [para(18(a,1),17(a,1)),flip(a)]. 108 x \ (L(y,z,u) * x) = L(T(y,x),z,u). [para(20(a,2),17(a,1)),flip(a)]. 109 x \ (R(y,z,u) * x) = R(T(y,x),z,u). [para(22(a,2),17(a,1)),flip(a)]. 110 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(22(a,2),18(a,1,1)),flip(a)]. 111 (1 / x) * (y \ 1) = (y * x) \ 1. [para(28(a,2),2(a,1))]. 112 (x / y) \ (x * ((z * y) \ x)) = z \ x. [para(28(a,1),4(a,1,2))]. 113 x \ ((x / y) * (z \ x)) = (z * y) \ x. [para(28(a,2),4(a,1,2))]. 114 (x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y. [para(4(a,1),28(a,1,2)),flip(a)]. 115 (x * ((y * z) \ x)) / (y \ x) = x / z. [para(28(a,1),6(a,1,1))]. 117 x != y | 1 * z != y | x = z. [para(2(a,1),29(a,1))]. 118 1 * x != y | z != y | x = z. [para(2(a,1),29(b,1))]. 119 x != y | x * z != y | 1 = z. [para(3(a,1),29(a,1))]. 120 x != y | z * u != y | z \ x = u. [para(5(a,1),29(a,1))]. 121 x != y | z * x != y | 1 = z. [para(2(a,1),30(a,1))]. 122 x * 1 != y | z != y | x = z. [para(3(a,1),30(b,1))]. 123 x != y | z * u != y | x / u = z. [para(7(a,1),30(a,1))]. 124 x != y | z / u != y | x * u = z. [para(6(a,1),32(a,1))]. 125 x != y | z \ u != y | z * x = u. [para(4(a,1),33(a,1))]. 126 1 * x != y | x = y. [para(2(a,1),38(a,2))]. 127 x * y != z | x \ z = y. [para(5(a,1),38(a,1)),flip(a)]. 130 x * 1 != y | y = x. [para(3(a,1),39(a,1)),flip(a)]. 131 x * 1 != y | x = y. [para(3(a,1),39(a,2))]. 132 x * (y \ z) != z | x = y. [para(5(a,1),39(a,2))]. 133 x * y != z | z / y = x. [para(7(a,1),39(a,1)),flip(a)]. 135 x / y != z | z * y = x. [para(6(a,1),41(a,1)),flip(a)]. 136 x \ y != z | x * z = y. [para(4(a,1),42(a,1)),flip(a)]. 138 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),44(a,1))]. 140 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(22(a,2),44(a,1)),flip(a)]. 141 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(20(a,1),45(a,1))]. 144 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(24(a,1),46(a,1)),flip(a)]. 146 ((x / y) * y) * z = x * z. [hyper(52,a,7,a)]. 147 (x * (x \ y)) * z = y * z. [hyper(52,a,5,a)]. 148 x * (y * (y \ z)) = x * z. [hyper(53,a,5,a)]. 149 ((x / y) * y) / z = x / z. [hyper(54,a,7,a)]. 150 (x * (x \ y)) \ z = y \ z. [hyper(56,a,5,a)]. 151 x \ (y * 1) = x \ y. [hyper(57,a,3,a)]. 152 (x * y) / y = (x / z) * z. [hyper(58,a,7,a,b,6,a(flip)),flip(a)]. 153 (x / y) * y = z * (z \ x). [hyper(58,a,7,a,b,5,a(flip))]. 154 (x / y) * y = x * 1. [hyper(58,a,7,a,b,3,a(flip))]. 155 x \ (x * y) = z * (z \ y). [hyper(58,a,5,a,b,4,a(flip)),flip(a)]. 156 x * (x \ y) = y * 1. [hyper(58,a,5,a,b,3,a(flip))]. 157 1 \ x != y | x = y. [para(60(a,1),42(a,2))]. 158 K(x,x) = 1. [hyper(58,a,11,a,b,61,a)]. 159 x \ x = 1 * 1. [hyper(58,a,61,a,b,3,a(flip))]. 160 x * (y \ y) = x. [para(61(a,2),3(a,1,2))]. 161 (x / x) * y = y. [para(67(a,2),2(a,1,1))]. 162 x / ((1 / y) * y) = x. [para(7(a,2),68(a,1,2))]. 163 x / 1 != y | y = x. [para(68(a,1),41(a,1)),flip(a)]. 164 x / 1 != y | x = y. [para(68(a,1),41(a,2))]. 165 T(x,R(x,y,z)) = x. [hyper(37,a,22,a,b,102,a(flip))]. 166 T(x,L(x,y,z)) = x. [hyper(36,a,20,a,b,102,a(flip))]. 167 T(x,T(x,y)) = x. [hyper(35,a,18,a,b,102,a(flip))]. 168 T(T(x,y),x) = T(x,y). [para(102(a,1),18(a,1,1)),flip(a)]. 169 T(L(x,y,z),x) = L(x,y,z). [para(102(a,1),20(a,1,1)),flip(a)]. 171 (x * y) / y = z / (x \ z). [hyper(58,a,70,a,b,6,a(flip)),flip(a)]. 172 x / (y \ x) = z * (z \ y). [hyper(58,a,70,a,b,5,a(flip))]. 173 (x / (y \ x)) * z = y * z. [hyper(52,a,70,a)]. 174 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(31,a,15,a(flip),b,70,a),flip(a)]. 176 (x * y) / T(x,y) = y. [para(17(a,2),70(a,1,2))]. 177 x * ((y * (z \ x)) \ x) = z * (y \ x). [para(70(a,1),28(a,1,1)),flip(a)]. 178 x / y != z | z \ x = y. [para(70(a,1),40(a,1)),flip(a)]. 179 (x / y) \ x = y / 1. [hyper(58,a,73,a,b,68,a(flip))]. 180 (x / y) \ x = z * (z \ y). [hyper(58,a,73,a,b,5,a(flip))]. 182 ((x / (y / z)) \ x) \ y = z. [hyper(31,a,70,a,b,73,a(flip))]. 183 x * (((x / y) * z) \ x) = (x / z) * y. [para(73(a,1),28(a,1,2)),flip(a)]. 184 x != y | z \ u != y | u / x = z. [para(73(a,1),34(a,1))]. 185 x \ y != z | y / z = x. [para(73(a,1),43(a,1)),flip(a)]. 186 x * ((x * y) \ x) = x / y. [hyper(58,a,28,a(flip),b,160,a)]. 187 x * ((y * x) \ x) = y \ x. [hyper(58,a,28,a(flip),b,161,a)]. 188 (x / x) * y != z | y = z. [para(161(a,1),38(a,2))]. 189 T(T(x,y),T(x,z)) = T(x,y). [para(167(a,1),18(a,1,1)),flip(a)]. 190 x \ x != y | 1 = y. [para(159(a,2),126(a,1))]. 193 T(x,R(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,165,a(flip))]. 194 T(x,L(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,166,a(flip))]. 195 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(63(a,1),9(a,2,2)),flip(a)]. 196 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(63(a,1),15(a,2,1))]. 197 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),9(a,2,1)),flip(a)]. 198 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),13(a,2,2))]. 199 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(71(a,1),9(a,2,2)),flip(a)]. 200 R(1 / x,x,y) = y / (x * y). [para(71(a,1),15(a,2,1))]. 201 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),13(a,2,2))]. 202 T(x,y) * T(y,T(x,y)) = x * y. [hyper(58,a,103,a,b,103,a)]. 203 x * (y * T(z,y)) = x * (z * y). [hyper(53,a,103,a)]. 204 T((x * y) / x,x) = y. [hyper(29,a,7,a(flip),b,103,a),flip(a)]. 205 (x * T(y,x)) / x = y. [hyper(30,a,7,a,b,103,a(flip))]. 206 x \ (y * T(x,y)) = y. [hyper(29,a,5,a,b,103,a(flip))]. 207 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(103(a,1),9(a,2,1,2)),flip(a)]. 208 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(103(a,1),13(a,2,1)),flip(a)]. 209 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(103(a,1),13(a,2,2,2)),flip(a)]. 210 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(103(a,1),15(a,2,1,1)),flip(a)]. 212 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(103(a,1),15(a,2,2)),flip(a)]. 213 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),103(a,1,2))]. 214 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),103(a,1,2))]. 215 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),103(a,1,2))]. 216 x * y != z | y * u != z | T(x,y) = u. [para(103(a,1),29(a,1))]. 217 x * y != z * x | T(z,x) = y. [para(103(a,1),38(a,1)),flip(a)]. 219 T(x / (x / y),x / y) = y. [hyper(58,a,105,a,b,73,a)]. 220 T(T(x / y,z),y) = T(y \ x,z). [para(105(a,1),18(a,1,1)),flip(a)]. 221 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(105(a,1),22(a,1,1)),flip(a)]. 222 T(x,y) != y \ z | z / y = x. [para(105(a,1),44(a,1)),flip(a)]. 223 T(x / y,y \ x) = x / y. [para(105(a,1),167(a,1,2))]. 224 (x / y) * y != z | z = x. [para(154(a,2),130(a,1))]. 225 (x / y) * y != z | x = z. [para(154(a,2),131(a,1))]. 226 x * 1 != y * z | y \ x = z. [para(156(a,1),38(a,1))]. 227 x * (x \ y) != z | y = z. [para(156(a,2),131(a,1))]. 228 x / T(y,y \ x) = y \ x. [para(5(a,1),176(a,1,1))]. 230 (x / y) \ x != z | z = y. [para(179(a,2),163(a,1))]. 231 (x / y) \ x != z | y = z. [para(179(a,2),164(a,1))]. 232 (x * T(T(y,x),z)) / x = T(y,z). [hyper(35,a,18,a,b,204,a),flip(a)]. 234 T(x,y) != z | (y * z) / y = x. [para(204(a,1),44(a,1)),flip(a)]. 235 x * y != z | T(x,y) = y \ z. [para(103(a,1),127(a,1)),flip(b)]. 238 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),224(a,1,1)),flip(b)]. 239 x * T(y,x) != z | y * x = z. [para(176(a,1),224(a,1,1)),flip(b)]. 240 x * y != z | y * T(x,y) = z. [para(205(a,1),224(a,1,1)),flip(b)]. 242 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),227(a,1,2))]. 243 x \ (x * y) != z | z = y. [para(6(a,1),230(a,1,1))]. 244 x \ (y * x) != z | T(y,x) = z. [para(176(a,1),230(a,1,1)),flip(b)]. 245 x \ (x * y) != z | y = z. [para(6(a,1),231(a,1,1))]. 246 x \ ((x / y) * (z \ x)) != u | (z * y) \ x = u. [para(28(a,2),243(a,1,2)),flip(b)]. 247 x \ (y * 1) != z | x \ y = z. [para(156(a,1),243(a,1,2)),flip(b)]. 248 T(x,x) != y | x = y. [para(17(a,2),245(a,1))]. 249 T((x * y) / x,x) != z | y = z. [para(105(a,2),245(a,1))]. 250 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),13(a,2,2))]. 251 R((x / y) / z,z,y) = x / (z * y). [para(75(a,1),15(a,2,1))]. 252 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),82(a,1,1))]. 253 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(82(a,1),176(a,1,1))]. 254 (x * y) \ (y * x) != z | K(y,x) = z. [para(82(a,1),243(a,1,2)),flip(b)]. 255 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(53,a,104,a)]. 256 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(52,a,104,a)]. 257 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(104(a,1),18(a,1,1)),flip(a)]. 258 T(x,1) = x. [hyper(117,a,205,a(flip),b,68,a(flip)),flip(a)]. 259 x != y | z != y | x = z. [para(2(a,1),117(b,1))]. 260 T(x \ y,1) = T(y / x,x). [hyper(58,a,258,a,b,105,a(flip))]. 261 K(x,1) = 1. [hyper(50,a,258,a)]. 262 T(1,x) = 1. [hyper(49,a,258,a)]. 263 T(x,1) != y | x = y. [para(258(a,1),44(a,2))]. 264 T(x,y \ y) = x. [para(61(a,2),258(a,1,2))]. 265 K(x,1) * y != z | y = z. [para(261(a,2),126(a,1,1))]. 267 (x / (y * (y \ z))) * z = x. [hyper(225,a,148,a),flip(a)]. 268 (x * y) / y != z | x = z. [para(152(a,2),188(a,1))]. 269 ((x / y) * y) * z != u | x * z = u. [para(152(a,1),224(a,1,1)),flip(b)]. 270 (x * y) / y != z | z = x. [para(152(a,2),224(a,1))]. 271 x / (y \ x) != z | y = z. [para(5(a,1),268(a,1,1))]. 272 (x * T(y,x)) / x != z | y = z. [para(103(a,2),268(a,1,1))]. 273 x / (y \ x) != z | z = y. [para(5(a,1),270(a,1,1))]. 274 (x / y) * z != u * (u \ x) | y = z. [para(153(a,1),38(a,1)),flip(a)]. 275 (x / y) * y != z * u | z \ x = u. [para(153(a,2),38(a,1))]. 276 x * (x \ y) != z * u | y / u = z. [para(153(a,1),39(a,1))]. 277 x \ (x * y) != z * u | z \ y = u. [para(155(a,2),38(a,1))]. 279 x * (y * (y \ z)) != u | x * z = u. [para(155(a,1),227(a,1,2))]. 281 (x / (y \ x)) * z != u | y * z = u. [para(171(a,1),224(a,1,1)),flip(b)]. 283 (x * (x \ y)) \ z != u | y \ z = u. [para(172(a,1),230(a,1,1)),flip(b)]. 284 (x * (y \ 1)) \ 1 = y * (x \ 1). [hyper(118,a,28,a(flip),b,173,a(flip))]. 285 (x * y) \ x = x \ (x / y). [hyper(127,a,186,a),flip(a)]. 286 (x * (y \ x)) \ x = x \ y. [hyper(29,a,172,a(flip),b,186,a),flip(a)]. 287 x / (x \ y) = x * (y \ x). [para(5(a,1),186(a,1,2,1)),flip(a)]. 288 (x * y) \ y = y \ (x \ y). [hyper(127,a,187,a),flip(a)]. 289 (x \ y) * (y \ (x \ y)) = x \ (x \ y). [para(5(a,1),187(a,1,2,1))]. 290 (x / y) \ y = y * (x \ y). [para(7(a,1),187(a,1,2,1)),flip(a)]. 291 x \ y != y * z | (x * y) \ y = z. [para(187(a,1),38(a,1))]. 292 T(x \ y,y / x) = x \ y. [hyper(49,a,223,a)]. 294 x / L(T(y,L(y,z,u) \ x),z,u) = L(y,z,u) \ x. [para(20(a,2),228(a,1,2))]. 295 (x \ y) \ y != z | T(x,x \ y) = z. [para(228(a,1),230(a,1,1)),flip(b)]. 296 T(x / y,y) != z | y \ x = z. [para(260(a,1),263(a,1))]. 297 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(15(a,2),267(a,1,1))]. 298 (x * y) * (x \ (x / y)) = x. [hyper(136,a,285,a)]. 299 ((x * y) \ x) * z = (x \ (x / y)) * z. [hyper(52,a,285,a)]. 300 (x / y) * (x \ (x / z)) = x * (((x * z) * y) \ x). [para(285(a,1),28(a,1,2))]. 301 (x * (y \ x)) * (x \ y) = x. [hyper(136,a,286,a)]. 303 (x * (y \ x)) * (z \ x) = x * ((z * (x \ y)) \ x). [para(287(a,1),28(a,1,1))]. 305 x * ((y \ x) \ x) = y * x. [hyper(34,a,286,a,b,288,a)]. 306 x / (x * (y \ x)) = y / x. [hyper(185,a,290,a)]. 307 (x / y) * (y * (x \ y)) = y. [hyper(136,a,290,a)]. 309 K(x \ y,y / x) = 1. [hyper(50,a,292,a)]. 310 K(x,(y * x) / y) = 1. [para(4(a,1),309(a,1,1))]. 311 T(x,(y * x) / y) = x. [hyper(51,a,310,a)]. 312 ((x * y) / x) * y = y * ((x * y) / x). [para(311(a,1),103(a,1,2))]. 315 (x \ 1) \ 1 = x. [hyper(118,a,305,a,b,3,a(flip))]. 316 T(x,y) = (x \ y) \ y. [hyper(29,a,103,a,b,305,a)]. 317 (x / y) * x = x * (y \ x). [para(73(a,1),305(a,1,2,1)),flip(a)]. 318 1 / x = x \ 1. [hyper(185,a,315,a)]. 319 (x \ 1) * x = 1. [hyper(136,a,315,a)]. 320 T(x,x \ 1) = x. [hyper(58,a,104,a,b,315,a)]. 321 1 / (1 / x) = x. [hyper(58,a,182,a(flip),b,315,a),flip(a)]. 322 x \ 1 != y | y \ 1 = x. [para(315(a,1),43(a,1)),flip(a)]. 323 x * y != 1 | y \ 1 = x. [para(315(a,1),132(a,1,2)),flip(b)]. 325 (1 / x) * 1 = x \ 1. [hyper(58,a,3,a,b,318,a)]. 326 T(x \ 1,x) = x \ 1. [para(318(a,1),105(a,1,1))]. 327 (x \ 1) \ 1 != y | x = y. [para(318(a,1),231(a,1,1))]. 328 K(x,x \ 1) = 1. [hyper(50,a,320,a)]. 329 T(x,1 / x) = x. [para(318(a,2),320(a,1,2))]. 330 x \ 1 != y | 1 / x = y. [para(321(a,1),230(a,1,1)),flip(b)]. 332 K(x,x \ 1) = y / y. [hyper(259,a,67,a,b,328,a),flip(a)]. 333 T(x,K(y,y \ 1)) = x. [para(328(a,2),258(a,1,2))]. 334 (x \ 1) \ K(y,y \ 1) = x. [para(328(a,2),315(a,1,2))]. 335 K(x \ 1,x) = 1. [para(315(a,1),328(a,1,2))]. 336 K(x \ 1,x) = K(y \ 1,y). [hyper(259,a,335,a,b,335,a)]. 337 K(x \ 1,x) = (y \ 1) * y. [hyper(259,a,319,a,b,335,a),flip(a)]. 338 T(x,K(y \ 1,y)) = x. [para(335(a,2),258(a,1,2))]. 339 K(x \ 1,x) / y = y \ 1. [para(335(a,2),318(a,1,1))]. 340 T(x,x \ y) = T(x,y). [hyper(259,a,104,a,b,316,a)]. 341 T(x / (x / y),x) = y. [hyper(259,a,182,a(flip),b,316,a),flip(a)]. 342 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(58,a,22,a,b,316,a),flip(a)]. 343 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(58,a,169,a(flip),b,316,a),flip(a)]. 344 (T(x,y) \ x) \ x = T(x,y). [hyper(58,a,168,a(flip),b,316,a),flip(a)]. 345 x / T(y,x) = y \ x. [hyper(185,a,316,a(flip))]. 346 (x \ y) * T(x,y) = y. [hyper(136,a,316,a(flip))]. 347 T(x,y) != z \ y | x \ y = z. [para(316(a,2),43(a,1))]. 348 T(x / y,x) = y \ x. [para(73(a,1),316(a,2,1))]. 349 x / T(y,x) != z | y \ x = z. [para(316(a,2),271(a,1,2))]. 350 T(x \ y,y) = T(x,y) \ y. [para(316(a,2),316(a,2,1))]. 351 (1 / x) * ((y \ 1) * y) = x \ 1. [para(319(a,2),325(a,1,2))]. 352 (1 / x) * K(y \ 1,y) = x \ 1. [para(335(a,2),325(a,1,2))]. 353 T(T(x \ 1,y),x) = T(x \ 1,y). [para(326(a,1),18(a,1,1)),flip(a)]. 354 K(x,x \ 1) * y = y * K(x,x \ 1). [para(333(a,1),103(a,1,2))]. 355 K(x \ 1,x) * y = y * K(x \ 1,x). [para(338(a,1),103(a,1,2))]. 356 T(x,x \ T(x,y)) = x. [hyper(259,a,167,a(flip),b,340,a),flip(a)]. 357 T(x,x \ R(x,y,z)) = x. [hyper(259,a,165,a(flip),b,340,a),flip(a)]. 358 T(x,x * y) = T(x,y). [para(4(a,1),340(a,1,2)),flip(a)]. 359 T(x * (y * z),(x * y) * z) = T(x * (y * z),a(x,y,z)). [para(9(a,2),340(a,1,2)),flip(a)]. 360 T(x,T(y,x)) = T(x,y * x). [para(17(a,2),340(a,1,2))]. 361 T(T(x,y),x \ z) = T(T(x,z),y). [para(340(a,1),18(a,1,1)),flip(a)]. 362 (x * y) / x = x / (x / y). [hyper(35,a,204,a,b,341,a)]. 363 T(x,y) != z | y / (y / z) = x. [para(341(a,1),44(a,1)),flip(a)]. 365 x / T(T(y,x),z) = T(y,z) \ x. [para(18(a,1),345(a,1,2))]. 366 x / L(T(y,x),z,u) = L(y,z,u) \ x. [para(20(a,2),345(a,1,2))]. 367 x / R(T(y,x),z,u) = R(y,z,u) \ x. [para(22(a,2),345(a,1,2))]. 369 T(x,y) / x = x \ T(x,y). [para(167(a,1),345(a,1,2))]. 370 R(x,y,z) / x = x \ R(x,y,z). [para(165(a,1),345(a,1,2))]. 371 L(x,y,z) / x = x \ L(x,y,z). [para(166(a,1),345(a,1,2))]. 372 x / T(x,y) = T(x,y) \ x. [para(168(a,1),345(a,1,2))]. 373 (x \ y) \ y != z | T(x,y) = z. [para(345(a,1),230(a,1,1)),flip(b)]. 375 ((x * y) / x) / y = y \ ((x * y) / x). [para(311(a,1),345(a,1,2))]. 376 (x \ T(x,y)) * x = T(x,y). [para(167(a,1),346(a,1,2))]. 379 (x * (y \ x)) / x = x / y. [hyper(35,a,204,a,b,348,a)]. 380 T(T(x / y,z),x) = T(y \ x,z). [para(348(a,1),18(a,1,1)),flip(a)]. 381 (x * y) * T(x,y) = x * (x * y). [para(358(a,1),103(a,1,2))]. 383 1 * (x \ 1) != y | 1 / x = y. [para(2(a,2),330(a,1))]. 384 (x / y) / x = x / (x * y). [para(73(a,1),306(a,1,2,2)),flip(a)]. 385 ((x \ y) / y) * (x \ y) = (x \ y) * ((x * y) \ y). [para(288(a,2),317(a,2,2))]. 386 K(1 / x,x) / y = y \ 1. [para(318(a,2),339(a,1,1,1))]. 388 T(x,y) / x != z | x \ T(x,y) = z. [para(376(a,1),268(a,1,1))]. 389 x \ (x * y) = L(y,x,1). [para(2(a,1),86(a,1,2))]. 390 L(x,y,1) = x. [hyper(245,a,389,a),flip(a)]. 391 L(x,y,1) != z | x = z. [para(389(a,1),245(a,1))]. 393 L(x,y,K(z,z \ 1)) = x. [para(328(a,2),390(a,1,3))]. 394 L(x,y,K(z \ 1,z)) = x. [para(335(a,2),390(a,1,3))]. 395 L(x,y,K(z \ 1,z)) != u | x = u. [para(335(a,2),391(a,1,3))]. 396 L(x,y,K(z,1 / z)) = x. [para(318(a,2),393(a,1,3,2))]. 397 x \ (x * y) = L(y,1,x). [para(3(a,1),87(a,1,1))]. 398 L(x,1,y) = x. [hyper(245,a,397,a),flip(a)]. 399 L(x,1,y) != z | z = x. [para(397(a,1),243(a,1))]. 400 L(x,1,y) != z | x = z. [para(397(a,1),245(a,1))]. 401 L(x,1,y) = z \ (z * x). [hyper(259,a,4,a,b,398,a),flip(a)]. 402 L(1,x,y) = 1. [hyper(190,a,88,a),flip(a)]. 404 a(x,y,1) = 1. [hyper(48,a,402,a)]. 405 R(x,1,y) = x. [hyper(122,a,6,a(flip),b,94,a(flip)),flip(a)]. 407 R(x,K(y \ 1,y),z) = x. [para(335(a,2),405(a,1,2))]. 408 (x * y) / y = R(x,y,1). [para(3(a,1),95(a,1,2))]. 409 R(x,y,1) = x. [hyper(270,a,408,a)]. 411 R(x,y,K(z,z \ 1)) = x. [para(328(a,2),409(a,1,3))]. 412 R(x,y,K(z \ 1,z)) = x. [para(335(a,2),409(a,1,3))]. 413 R(x,y,K(z,z \ 1)) != u | x = u. [para(411(a,1),46(a,2))]. 414 R(x,y,K(1 / z,z)) = x. [para(73(a,1),411(a,1,3,2))]. 415 L((x \ y) \ 1,x \ y,y) = y \ x. [hyper(259,a,286,a(flip),b,198,a),flip(a)]. 416 L(x \ 1,x,y) = y \ (y / x). [hyper(259,a,285,a(flip),b,198,a),flip(a)]. 417 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(259,a,150,a(flip),b,198,a),flip(a)]. 418 x / L(y \ 1,y,x) = x * y. [hyper(185,a,198,a(flip))]. 419 (x * y) * L(y \ 1,y,x) = x. [hyper(136,a,198,a(flip))]. 420 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),198(a,2,1))]. 421 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(198(a,1),25(a,1,1)),flip(a)]. 422 x * L(y \ 1,y,x) = x / y. [para(198(a,2),186(a,1,2))]. 423 R(1 / x,x,y) \ y = x * y. [hyper(178,a,200,a(flip))]. 424 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(200(a,1),22(a,2,1)),flip(a)]. 425 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(103(a,1),200(a,2,2))]. 432 x * (x \ y) != z * u | z \ y = u. [para(156(a,2),226(a,1))]. 433 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),239(a,1,2))]. 434 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),239(a,1,2))]. 435 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(333(a,1),239(a,1,2))]. 439 T(x / y,x) != z | y \ x = z. [para(379(a,1),249(a,1,1))]. 441 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),296(a,1,1))]. 443 L(T(x,y),z,u) / x != w | x \ L(T(x,y),z,u) = w. [para(194(a,1),349(a,1,2))]. 444 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(169(a,1),349(a,1,2))]. 446 T(x,x \ y) != z | T(x,y) = z. [para(104(a,2),373(a,1))]. 448 K(x,x \ 1) * (y \ 1) != z | 1 / y = z. [para(328(a,2),383(a,1,1))]. 449 x * L(y \ 1,y,z) = x * (z \ (z / y)). [hyper(53,a,416,a)]. 450 x \ (x / L(y \ 1,y,x)) = y. [hyper(127,a,418,a(flip))]. 451 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),418(a,1,2,1))]. 452 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(418(a,1),230(a,1,1)),flip(b)]. 453 x / L(y,y \ 1,x) = x * (y \ 1). [para(315(a,1),418(a,1,2,1))]. 454 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(419(a,1),13(a,2,2,2))]. 455 L(L(x \ 1,x,y),y,z) = (z * y) \ (z * (y / x)). [para(422(a,1),13(a,2,2,2))]. 456 x * L(y,y \ 1,x) = x / (y \ 1). [para(315(a,1),422(a,1,2,1))]. 458 x \ y != z * y | R(1 / z,z,y) = x. [para(423(a,1),43(a,1)),flip(a)]. 459 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),423(a,1,1,1))]. 461 T(x,y) != z | (x \ y) \ y = z. [para(70(a,1),439(a,1,1))]. 463 T(x,y) != z | T(x,x * y) = z. [para(4(a,1),446(a,1,2))]. 464 T(x * (y * z),a(x,y,z)) != u | T(x * (y * z),(x * y) * z) = u. [para(9(a,2),446(a,1,2))]. 465 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(106(a,1),244(a,1))]. 466 (x \ 1) * (y \ 1) = (y * x) \ 1. [para(318(a,1),111(a,1,1))]. 467 (x * (y \ z)) \ z = z \ (y * (x \ z)). [hyper(120,a,173,a(flip),b,28,a(flip)),flip(a)]. 468 x != y | z * u != y | T(z,u) = u \ x. [para(103(a,1),120(b,1)),flip(c)]. 469 (x * (x \ y)) / (z \ y) = z. [hyper(123,a,156,a,b,156,a)]. 470 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [hyper(124,a,26,a,b,15,a(flip))]. 472 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [hyper(124,a,414,a(flip),b,15,a(flip)),flip(a)]. 473 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(124,a,412,a(flip),b,15,a(flip)),flip(a)]. 474 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(124,a,411,a(flip),b,15,a(flip)),flip(a)]. 475 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [hyper(124,a,407,a(flip),b,15,a(flip)),flip(a)]. 476 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(124,a,200,a(flip),b,70,a)]. 478 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [hyper(124,a,24,a(flip),b,15,a(flip))]. 479 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [hyper(124,a,22,a(flip),b,15,a(flip))]. 480 K(x \ 1,x) * K(y,y \ 1) = 1. [hyper(125,a,332,a,b,339,a(flip))]. 482 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(125,a,25,a,b,13,a(flip))]. 483 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(125,a,24,a,b,13,a(flip))]. 484 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(125,a,13,a,b,150,a(flip))]. 485 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(125,a,396,a(flip),b,13,a(flip))]. 486 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(125,a,394,a(flip),b,13,a(flip))]. 487 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(125,a,393,a(flip),b,13,a(flip))]. 488 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(125,a,20,a(flip),b,13,a(flip))]. 491 T(x / y,z) * y = y * T(y \ x,z). [para(105(a,1),213(a,1,2,1)),flip(a)]. 493 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(234,a,220,a)]. 494 T(x \ y,y) = T(x \ y,x). [para(348(a,1),220(a,1,1)),flip(a)]. 496 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(220(a,1),239(a,1,2))]. 497 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(461,a,494,a),flip(a)]. 498 T(x \ y,x) = T(x,y) \ y. [hyper(58,a,350,a(flip),b,494,a),flip(a)]. 499 x * T(y \ x,y) = (y \ x) * x. [hyper(125,a,494,a(flip),b,17,a(flip))]. 500 (x * T(y,z)) / x = T((x * y) / x,z). [para(204(a,1),232(a,1,1,2,1))]. 502 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(284(a,1),284(a,1,1,2))]. 503 T(x,T(x \ 1,y)) = x. [hyper(49,a,353,a)]. 504 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(259,a,315,a,b,503,a),flip(a)]. 505 T(x \ 1,T(x,y)) = x \ 1. [para(315(a,1),503(a,1,2,1))]. 506 T(1 / x,T(x,y)) = x \ 1. [para(318(a,2),505(a,1,1))]. 507 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(316(a,1),365(a,1,2,1))]. 508 T(x / (x / y),z) \ x = x / T(y,z). [para(341(a,1),365(a,1,2,1)),flip(a)]. 510 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(461,a,380,a)]. 511 ((x * y) \ 1) / (x \ 1) = y \ 1. [hyper(133,a,466,a)]. 512 (x \ 1) \ ((y * x) \ 1) = y \ 1. [hyper(127,a,466,a)]. 513 (x \ 1) / (y \ 1) = (y \ x) \ 1. [hyper(123,a,150,a(flip),b,466,a)]. 514 ((x \ 1) * ((y \ 1) * z)) \ (((y * x) \ 1) * z) = a(x \ 1,y \ 1,z). [para(466(a,1),9(a,2,2,1)),flip(a)]. 517 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(315(a,1),466(a,1,2)),flip(a)]. 519 K(x \ 1,x) * K(y,1 / y) = 1. [para(318(a,2),480(a,1,2,2))]. 521 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(7(a,1),512(a,1,2,1))]. 522 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(315(a,1),513(a,1,1)),flip(a)]. 524 (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. [para(284(a,1),513(a,1,1))]. 525 (x * (x \ (y / z))) \ 1 = (z \ 1) \ (y \ 1). [hyper(259,a,150,a,b,521,a)]. 526 (x / (y \ 1)) \ 1 = y \ (x \ 1). [para(315(a,1),521(a,1,1)),flip(a)]. 528 (1 / x) \ (y \ 1) = (y / x) \ 1. [para(318(a,2),521(a,1,1))]. 529 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(235,a,89,a),flip(a)]. 530 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(123,a,203,a(flip),b,89,a)]. 531 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,148,a(flip),b,89,a)]. 532 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(58,a,146,a(flip),b,89,a)]. 533 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(58,a,71,a(flip),b,89,a),flip(a)]. 534 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(58,a,63,a(flip),b,89,a),flip(a)]. 535 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(120,a,71,a(flip),b,89,a(flip))]. 536 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(120,a,63,a(flip),b,89,a(flip))]. 537 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(89(a,1),13(a,2,1)),flip(a)]. 538 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(89(a,1),13(a,2,2,2)),flip(a)]. 539 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(89(a,1),15(a,2,1)),flip(a)]. 540 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(89(a,1),38(a,1)),flip(a)]. 542 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(89(a,1),243(a,1,2)),flip(b)]. 543 L(x \ T(y * x,y),x,y) = y. [hyper(259,a,206,a(flip),b,91,a),flip(a)]. 544 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(259,a,150,a(flip),b,91,a),flip(a)]. 545 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(58,a,393,a(flip),b,91,a),flip(a)]. 547 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(9(a,2),91(a,1,1)),flip(a)]. 548 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(103(a,1),91(a,2,1))]. 549 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(103(a,1),91(a,2,2))]. 552 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(89(a,1),91(a,2,1))]. 553 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(89(a,1),91(a,2,2))]. 554 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(120,a,147,a(flip),b,99,a)]. 555 R(x / y,y,z) \ (x * z) = y * z. [hyper(120,a,146,a(flip),b,99,a)]. 556 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(58,a,203,a(flip),b,99,a)]. 557 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(58,a,64,a(flip),b,99,a),flip(a)]. 558 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,64,a(flip),b,99,a(flip))]. 559 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(120,a,99,a(flip),b,89,a)]. 560 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(99(a,1),15(a,2,1,1)),flip(a)]. 561 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(99(a,1),15(a,2,2)),flip(a)]. 562 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(99(a,1),39(a,1))]. 563 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(99(a,1),82(a,1,1))]. 564 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(82(a,1),99(a,1,2))]. 565 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(99(a,1),268(a,1,1))]. 566 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(31,a,469,a,b,100,a(flip))]. 567 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(5(a,1),100(a,2,2))]. 568 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),100(a,2,2))]. 569 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(100(a,1),22(a,2,1)),flip(a)]. 570 T(R(x / y,y,z),x * z) = (y * z) \ (x * z). [para(100(a,2),348(a,1,1))]. 571 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(99(a,1),100(a,2,1))]. 572 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(82(a,1),174(a,1,2,1))]. 573 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(89(a,1),174(a,1,2,1))]. 575 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(318(a,1),201(a,1,2))]. 576 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(250(a,1),20(a,2,1))]. 577 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(7(a,1),254(a,1,1))]. 578 (x * (x \ y)) * z != u | y * z = u. [para(70(a,1),269(a,1,1,1))]. 580 x * y != z * u | z \ (x * y) = u. [para(6(a,1),275(a,1,1))]. 584 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(152(a,1),275(a,1,1))]. 589 1 * x != y * z | x / z = y. [para(60(a,1),276(a,1,2))]. 590 (x / y) * y != z * u | x / u = z. [para(73(a,1),276(a,1,2))]. 591 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(155(a,1),276(a,1,2))]. 592 (x / y) \ x != z * u | y / u = z. [para(180(a,2),276(a,1))]. 595 ((1 / x) * x) * y != z * u | y / u = z. [para(7(a,2),589(a,1,1))]. 600 x * (y * T(z,y)) != u | x * (z * y) = u. [para(17(a,2),279(a,1,2,2))]. 602 T(x,y) != z | T(x,x \ y) = z. [para(316(a,2),295(a,1))]. 603 L(x \ 1,x,y / x) = L(x \ 1,x,y). [hyper(259,a,416,a,b,420,a),flip(a)]. 604 L(x \ 1,x,y / x) * y = (y / x) * K(y \ (y / x),y). [para(420(a,2),252(a,2,1)),flip(a)]. 605 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(5(a,2),432(a,1,2))]. 606 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(155(a,1),432(a,1,2))]. 607 T(x * y,L(y \ z,y,x)) != u | ((x * y) \ (x * z)) \ (x * z) = u. [para(91(a,2),441(a,1,2))]. 608 T(x \ y,z) != u | T(T(y / x,z),x) = u. [para(105(a,1),465(a,1,1))]. 610 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(531(a,1),230(a,1,1)),flip(b)]. 611 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(279,a,533,a),flip(a)]. 612 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(120,a,25,a,b,533,a)]. 613 (1 / x) * (x * y) = L(y,x,x \ 1). [para(318(a,1),533(a,2,3))]. 614 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(279,a,534,a),flip(a)]. 616 (((x \ 1) * y) \ 1) * (x \ 1) = L(y,x \ 1,x) \ 1. [para(534(a,1),466(a,2,1))]. 617 L(x \ 1,y \ 1,y) = y * ((x * y) \ 1). [para(466(a,1),534(a,1,2)),flip(a)]. 620 (1 / x) \ L(y,x,x \ 1) = x * y. [para(318(a,1),535(a,1,2,3))]. 622 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(200(a,2),555(a,1,1,1))]. 623 T(T(R(x / y,y,z),x * z),u) = T(T(R(x / y,y,z),u),y * z). [para(555(a,1),361(a,1,2)),flip(a)]. 624 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(269,a,557,a),flip(a)]. 626 ((x / y) \ x) * z != u | y * z = u. [para(180(a,2),578(a,1,1))]. 627 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(147(a,2),580(a,1))]. 629 x * ((1 / y) * y) != z * u | x / u = z. [para(162(a,1),590(a,1,1))]. 630 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(152(a,1),590(a,1,1))]. 631 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(15(a,2),592(a,1,1))]. 635 L(x \ y,x,x \ 1) = (1 / x) * y. [para(318(a,1),611(a,1,3))]. 636 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(58,a,203,a(flip),b,613,a),flip(a)]. 637 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(318(a,1),613(a,1,1))]. 638 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(614(a,1),166(a,1,2))]. 639 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(318(a,1),620(a,1,1))]. 641 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(318(a,1),635(a,2,1))]. 645 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(639(a,1),227(a,1,2))]. 646 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(33,a,13,a(flip),b,108,a)]. 648 x * (y * L(T(z,y),u,w)) != v5 | x * (L(z,u,w) * y) = v5. [para(108(a,1),279(a,1,2,2))]. 651 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [para(99(a,1),109(a,1,2))]. 652 (x / y) \ (x * (z \ x)) = (z / y) \ x. [para(7(a,1),112(a,1,2,2,1))]. 653 (x * y) \ (x * (z \ (x * y))) = (z * y) \ (x * y). [para(6(a,1),113(a,1,2,1))]. 654 ((x / y) * z) \ x = x \ ((x / z) * y). [para(73(a,1),113(a,1,2,2)),flip(a)]. 655 (x * (y \ x)) / (z \ x) = x / (z \ y). [para(5(a,1),115(a,1,1,2,1))]. 656 (x * (y \ z)) / z = z / (y * (x \ z)). [hyper(184,a,177,a(flip),b,290,a),flip(a)]. 657 x * (y \ 1) != z | (y * (x \ 1)) \ 1 = z. [para(177(a,1),126(a,1))]. 660 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(17(a,1),214(a,1,2,1))]. 662 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(105(a,1),214(a,1,2,1)),flip(a)]. 663 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(204(a,1),214(a,1,2,1)),flip(a)]. 664 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(104(a,1),214(a,1,2,1))]. 666 x * L(T(x \ y,y),z,u) = L(x \ y,z,u) * x. [para(494(a,2),214(a,1,2,1))]. 667 L(T(x \ 1,y),z,u) * x = x * L(T(x \ 1,y),z,u). [para(353(a,1),214(a,1,2,1)),flip(a)]. 668 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(105(a,1),215(a,1,2,1)),flip(a)]. 669 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(204(a,1),215(a,1,2,1)),flip(a)]. 670 (x * y) * R(T(x,y),z,u) = R(x,z,u) * (x * y). [para(358(a,1),215(a,1,2,1))]. 671 T(x / y,y * (x \ y)) = y \ x. [hyper(216,a,307,a,b,301,a)]. 672 L(T(x,y),y,x) = T(x,x * y). [hyper(216,a,203,a(flip),b,89,a),flip(a)]. 673 L(T(x,y),y,x) = T(x,y). [hyper(259,a,358,a(flip),b,672,a),flip(a)]. 674 L(x,y,x) = x. [hyper(35,a,20,a(flip),b,673,a(flip))]. 675 L(x,y,x) = L(x,z,x). [hyper(259,a,674,a,b,674,a)]. 676 L(x \ y,z,x \ y) = T(y / x,y). [hyper(259,a,348,a,b,674,a),flip(a)]. 677 L(x,y,x) = 1 / (1 / x). [hyper(259,a,321,a,b,674,a),flip(a)]. 678 a(x,y,x) = 1. [hyper(48,a,674,a)]. 679 (x * y) * x = x * (y * x). [hyper(125,a,674,a(flip),b,13,a(flip))]. 680 L(x,y,L(x,z,u)) = x. [hyper(36,a,25,a,b,674,a(flip))]. 681 L(x,y,T(x,z)) = x. [hyper(35,a,20,a(flip),b,674,a(flip))]. 682 L(T(x,y),z,x) = T(x,y). [para(674(a,1),20(a,2,1))]. 683 L(R(x,y,z),u,x) = R(x,y,z). [para(674(a,1),24(a,1,1)),flip(a)]. 684 L(L(x,y,z),u,x) = L(x,y,z). [para(674(a,1),25(a,1,1)),flip(a)]. 685 a(x,y,x) = a(z,u,z). [hyper(259,a,678,a,b,678,a)]. 686 K(x \ 1,x) = a(y,z,y). [hyper(259,a,335,a,b,678,a)]. 687 a(x,y,x) \ z = z. [para(678(a,2),60(a,1,1))]. 688 K(x,a(y,z,y)) = 1. [para(678(a,2),261(a,1,2))]. 689 L(x,y,a(z,u,z)) = x. [para(678(a,2),390(a,1,3))]. 690 a(x,y,a(z,u,z)) = 1. [para(678(a,2),404(a,1,3))]. 691 (T(x,y) * z) * x = T(x,y) * (z * x). [hyper(125,a,681,a(flip),b,13,a(flip))]. 692 x * K(y,a(z,u,z)) = x. [hyper(125,a,688,a,b,61,a)]. 694 (L(x,y,z) * u) * x = L(x,y,z) * (u * x). [hyper(125,a,680,a(flip),b,13,a(flip))]. 695 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [hyper(120,a,680,a(flip),b,534,a),flip(a)]. 696 L(x \ 1,y,z \ (z / x)) = x \ 1. [para(416(a,1),680(a,1,3))]. 697 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [hyper(125,a,689,a(flip),b,13,a(flip))]. 698 L(x,y,a(z,u,z)) != w | w = x. [para(689(a,1),45(a,1)),flip(a)]. 699 (x * (y * a(z,u,z))) * 1 = (x * y) * a(z,u,z). [hyper(125,a,690,a(flip),b,9,a(flip))]. 700 L(T(x,y),z,x) = T(x,x * y). [hyper(259,a,358,a,b,682,a),flip(a)]. 701 L(T(x,x \ 1),y,x) = x. [hyper(259,a,320,a(flip),b,682,a),flip(a)]. 703 (x * y) * T(x,z) = x * (y * T(x,z)). [hyper(125,a,682,a(flip),b,13,a(flip))]. 704 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(120,a,682,a(flip),b,637,a)]. 705 L(L(T(x,y),z,u),w,x) = L(T(x,y),z,u). [para(682(a,1),25(a,1,1)),flip(a)]. 707 L(x,y,z) != z | T(z,z \ 1) = x. [para(701(a,1),45(a,1)),flip(a)]. 708 T(x * y,x) = y * x. [hyper(216,a,679,a,b,xx)]. 709 T(x,y) = (y \ x) * y. [hyper(216,a,147,a(flip),b,679,a(flip))]. 710 T(x,x / y) = y * (x / y). [hyper(216,a,146,a(flip),b,679,a(flip))]. 711 R(x,y,x) = x. [hyper(30,a,99,a,b,679,a(flip))]. 712 (x * (y / x)) * x = x * y. [para(7(a,1),679(a,2,2))]. 714 R(x,y,x) = R(x,z,x). [hyper(259,a,711,a,b,711,a)]. 715 R(T(x,y),z,T(x,y)) = T(x,x \ y). [hyper(259,a,340,a,b,711,a),flip(a)]. 716 R(x,y,x) = (x \ 1) \ 1. [hyper(259,a,315,a,b,711,a),flip(a)]. 717 R(T(x,x * y),z,T(x,x * y)) = T(x,y). [hyper(259,a,358,a(flip),b,711,a),flip(a)]. 718 R(x,y,x) = a(z,u,z) * x. [hyper(125,a,711,a(flip),b,687,a),flip(a)]. 719 R(x,y,R(x,z,u)) = x. [hyper(37,a,26,a,b,711,a(flip))]. 720 R(x,y,L(x,z,u)) = x. [hyper(36,a,24,a(flip),b,711,a(flip))]. 721 R(x,y,T(x,z)) = x. [hyper(35,a,22,a(flip),b,711,a(flip))]. 722 R(T(x,y),z,x) = T(x,y). [para(711(a,1),22(a,2,1))]. 723 R(x,y,T(x,z)) * u = x * u. [hyper(124,a,721,a,b,6,a)]. 724 T(x * y,x) = 1 * (y * x). [hyper(259,a,2,a,b,708,a),flip(a)]. 725 T(x * (y / x),x) = y. [hyper(259,a,7,a(flip),b,708,a),flip(a)]. 726 x / (y * x) = (x * y) \ x. [hyper(184,a,708,a(flip),b,316,a(flip))]. 727 T(x * y,x) = a(z,u,z) * (y * x). [hyper(125,a,708,a(flip),b,687,a),flip(a)]. 728 T(T(x * y,z),x) = T(y * x,z). [para(708(a,1),18(a,1,1)),flip(a)]. 729 T(x,y) != z * y | y * z = x. [para(708(a,1),44(a,1)),flip(a)]. 730 T(x * y,y) = T(x,y) * y. [para(103(a,1),708(a,1,1))]. 732 (x \ (x / y)) * (x * y) = T(x,x * y). [para(298(a,1),708(a,1,1)),flip(a)]. 733 T(x,y) * (x \ y) = T(y,x \ y). [para(346(a,1),708(a,1,1)),flip(a)]. 734 T((x * y) \ x,x) = (y * x) \ x. [para(708(a,1),350(a,2,1))]. 736 x / (y * x) != z | (x * y) \ x = z. [para(708(a,1),349(a,1,2))]. 737 x / T(y * x,z) = T(x * y,z) \ x. [para(708(a,1),365(a,1,2,1))]. 738 T(x * (y * z),x * y) = L(z,y,x) * (x * y). [para(89(a,1),708(a,1,1))]. 739 T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(99(a,1),708(a,1,1))]. 741 (x \ (x / y)) * x = y \ x. [hyper(439,a,709,a),flip(a)]. 742 x * T(x \ y,x) = T(y,x). [hyper(259,a,103,a,b,709,a)]. 743 T(x,y) / y = y \ x. [hyper(123,a,709,a,b,xx)]. 744 K(x \ y,x) = y \ T(y,x). [hyper(120,a,709,a,b,252,a),flip(a)]. 745 T(x \ y,x) = x \ T(y,x). [hyper(120,a,709,a,b,103,a),flip(a)]. 747 L(T(x,y),z,u) / y = y \ L(x,z,u). [hyper(123,a,20,a,b,709,a(flip))]. 750 (x \ y) / y = y \ (y / x). [hyper(123,a,348,a(flip),b,709,a(flip))]. 751 x \ (x / (x / y)) = y / x. [hyper(123,a,341,a(flip),b,709,a(flip)),flip(a)]. 752 x / R(x,y,z) = R(x,y,z) \ x. [hyper(123,a,165,a(flip),b,709,a(flip))]. 754 T((x * y) * z,x * (y * z)) = a(x,y,z) * (x * (y * z)). [para(9(a,2),709(a,2,1))]. 755 (x * (y \ z)) \ (x * T(z,y)) = L(y,y \ z,x). [para(709(a,2),13(a,2,2,2)),flip(a)]. 756 T(x,y) != z * y | y \ x = z. [para(709(a,2),39(a,1))]. 757 T(x,(y \ x) * y) = x. [para(709(a,1),167(a,1,2))]. 758 T(x,y) / y != z | y \ x = z. [para(709(a,2),268(a,1,1))]. 759 K(x,x \ y) = T(y,x) \ y. [para(709(a,2),84(a,1,1)),flip(a)]. 760 (x * y) * R(x,z,u) = x * (y * R(x,z,u)). [hyper(124,a,719,a(flip),b,15,a(flip)),flip(a)]. 761 R(x,y,R(T(x,z),u,w)) = x. [hyper(35,a,22,a(flip),b,719,a(flip))]. 762 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(259,a,711,a,b,720,a),flip(a)]. 763 (x * y) * L(x,z,u) = x * (y * L(x,z,u)). [hyper(124,a,720,a(flip),b,15,a(flip)),flip(a)]. 764 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [para(720(a,1),459(a,1,1)),flip(a)]. 765 x / (x / y) = x * (y / x). [hyper(363,a,725,a)]. 766 (x * y) / x = x * (y / x). [hyper(234,a,725,a)]. 767 x * ((y \ x) / x) = x / y. [hyper(35,a,348,a,b,725,a),flip(a)]. 768 (x / y) * (y / (x / y)) = x / (x / y). [hyper(35,a,219,a,b,725,a),flip(a)]. 769 (x * (y / x)) \ x = x / y. [hyper(184,a,725,a(flip),b,316,a(flip)),flip(a)]. 770 T(x,y) != z | y * (z / y) = x. [para(725(a,1),44(a,1)),flip(a)]. 773 T(x * (y / x),z) \ x = x / T(y,z). [para(725(a,1),365(a,1,2,1)),flip(a)]. 774 T(x,y) / y = x / T(y,x). [hyper(259,a,345,a,b,743,a),flip(a)]. 777 (x \ y) * x != z | T(y,x) = z. [para(743(a,1),224(a,1,1)),flip(b)]. 778 (T(x,y) / y) \ x = T(y,x). [para(743(a,2),316(a,2,1)),flip(a)]. 779 T(x \ y,x) != z | x \ T(y,x) = z. [para(743(a,1),296(a,1,1))]. 781 T(x,y * (x / y)) = x. [para(73(a,1),757(a,1,2,1))]. 782 T(T(x,y),z * (x / z)) = T(x,y). [para(781(a,1),18(a,1,1)),flip(a)]. 785 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(362(a,2),710(a,2,2)),flip(a)]. 788 T(x * y,x) != z | y * x = z. [para(724(a,2),126(a,1))]. 789 x / (y * x) = x \ (x / y). [hyper(259,a,285,a(flip),b,726,a),flip(a)]. 790 (x \ y) * ((y \ x) * x) = x. [hyper(124,a,286,a(flip),b,726,a)]. 791 (x \ (x / y)) * (y * x) = x. [hyper(124,a,285,a(flip),b,726,a)]. 793 T(x \ (x / y),x) = x \ (y \ x). [hyper(235,a,741,a)]. 796 ((x * y) \ x) * x = y \ x. [para(285(a,2),741(a,1,1))]. 797 L(x \ 1,x,y) * y = x \ y. [para(416(a,2),741(a,1,1))]. 798 L(x \ 1,x,y) \ y = x * y. [para(450(a,1),741(a,1,1)),flip(a)]. 799 T(x \ T(y,z),x) = x \ T(T(y,x),z). [hyper(120,a,18,a,b,742,a),flip(a)]. 801 x * T(x \ y,y) = T(y,x). [para(494(a,2),742(a,1,2))]. 802 T(x,K(y \ x,y)) = x. [para(744(a,2),356(a,1,2))]. 804 T(x * y,K(y,x)) = x * y. [para(4(a,1),802(a,1,2,1))]. 805 T(x,y) \ y = x \ T(y,x). [hyper(58,a,498,a(flip),b,745,a)]. 806 (x \ y) / y = (y * x) \ y. [hyper(259,a,285,a,b,750,a),flip(a)]. 811 (x * (y / x)) * (x / y) = x. [hyper(135,a,765,a)]. 816 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(125,a,769,a,b,751,a)]. 817 x \ y != y / z | y * (z / y) = x. [para(769(a,1),43(a,1)),flip(a)]. 820 (x \ y) \ x = (y \ x) * x. [hyper(127,a,790,a)]. 821 x / L(x,y \ x,x \ y) = (x \ y) * (y \ x). [hyper(123,a,790,a(flip),b,89,a)]. 822 ((x \ y) * (y \ x)) \ x = L(x,y \ x,x \ y). [hyper(120,a,790,a(flip),b,89,a)]. 825 T((x * y) \ x,x * y) = x \ (y \ x). [hyper(120,a,796,a(flip),b,499,a),flip(a)]. 826 x \ y != z * y | (y * x) \ y = z. [para(796(a,1),39(a,1))]. 833 L(R(x,y,x),z,x) = x. [hyper(259,a,711,a(flip),b,683,a),flip(a)]. 834 R(x,y,x) = z \ T(x * z,x). [hyper(36,a,543,a,b,833,a),flip(a)]. 838 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(120,a,684,a(flip),b,637,a)]. 839 T(x,x * y) != z | T(x,y) = z. [para(700(a,1),399(a,1)),flip(b)]. 840 R(x,y,z \ (x * z)) * u = x * u. [para(17(a,1),723(a,1,1,3))]. 841 x * ((y * z) / y) != z | ((y * z) / y) \ z = x. [para(311(a,1),756(a,1)),flip(a)]. 842 R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). [para(762(a,1),24(a,2,1))]. 845 T(x * (y * z),x * y) != u | L(z,y,x) * (x * y) = u. [para(89(a,1),788(a,1,1))]. 846 L(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(120,a,797,a(flip),b,214,a),flip(a)]. 848 L(x,x \ 1,y) * y = (x \ 1) \ y. [para(315(a,1),797(a,1,1,1))]. 849 L(x,x \ 1,y) \ y = (x \ 1) * y. [para(315(a,1),798(a,1,1,1))]. 851 x * R(y,z,y) = T(y * x,y). [hyper(125,a,834,a,b,xx)]. 853 L(T(x,y),z,x) != u | T(x,y) = u. [para(700(a,2),839(a,1))]. 855 L(x / y,z,u) * (y * (x \ y)) = (y * (x \ y)) * L(y \ x,z,u). [para(671(a,1),214(a,1,2,1)),flip(a)]. 856 T(x * y,z) / y = y \ T(y * x,z). [hyper(123,a,728,a(flip),b,709,a(flip))]. 857 (x * y) * ((y * x) \ x) = T(x,x * y). [para(734(a,1),801(a,1,2))]. 859 L(T(x,y),x \ 1,y) = y \ ((x \ 1) \ y). [para(315(a,1),846(a,1,1,1))]. 860 R(x,x \ 1,y) = L(x,x \ 1,y). [hyper(34,a,459,a,b,849,a)]. 862 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(234,a,221,a)]. 864 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(251(a,1),221(a,1,1)),flip(a)]. 865 K(x,y) = (x * y) / (y * x). [para(804(a,1),253(a,1,2)),flip(a)]. 866 K(x,y) * (y * x) = x * y. [hyper(124,a,865,a,b,xx)]. 868 K(x \ y,x) * y = (x \ y) * x. [para(865(a,2),267(a,1,1))]. 869 (x * y) * ((K(x,y) * z) \ (x * y)) = ((x * y) / z) * (y * x). [para(865(a,2),183(a,1,2,1,1))]. 870 K(x,y / x) * y = x * (y / x). [para(7(a,1),866(a,1,2))]. 871 L((x * y) \ z,x * y,K(y,x)) = (y * x) \ (K(y,x) * z). [para(866(a,1),91(a,2,1))]. 873 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(256(a,2),11(a,2,1)),flip(a)]. 874 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(257(a,1),239(a,1,2))]. 877 x * (((y * x) / y) / x) = (y * x) / y. [hyper(30,a,712,a,b,312,a)]. 879 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(316(a,1),342(a,2,1)),flip(a)]. 880 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(348(a,1),342(a,2,1))]. 881 R(T(x,(x * y) * z),y,z) = (y * z) \ ((x * y) * z). [para(174(a,1),342(a,1,1)),flip(a)]. 883 R(T(x,y),z,T(x,u)) = (x \ y) \ y. [para(721(a,1),342(a,1,1,1)),flip(a)]. 886 K(x \ 1,x) * (1 / y) = y \ 1. [hyper(259,a,352,a(flip),b,355,a),flip(a)]. 887 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(355(a,1),38(a,1)),flip(a)]. 888 K(x \ 1,x) * y = y * K(z \ 1,z). [para(336(a,1),355(a,1,1))]. 889 K(x \ 1,x) * y = (y \ 1) \ 1. [para(70(a,1),886(a,1,2))]. 890 K(x,x \ 1) * y = (y \ 1) \ 1. [para(315(a,1),889(a,1,1,1))]. 891 x / L(y \ x,z,u) = L(x / y,z,u) \ x. [para(348(a,1),366(a,1,2,1))]. 893 L(x * (y / x),z,u) \ x = x / L(y,z,u). [para(725(a,1),366(a,1,2,1)),flip(a)]. 894 x / R(T(y \ x,z),u,w) = R(T(x / y,z),u,w) \ x. [para(380(a,1),367(a,1,2,1))]. 896 (x * (y \ (y / z))) \ y = y \ ((y * z) * (x \ y)). [para(285(a,1),467(a,1,1,2))]. 898 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(493(a,1),224(a,1,1)),flip(b)]. 900 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(105(a,1),500(a,1,1,2)),flip(a)]. 901 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(500(a,1),224(a,1,1)),flip(b)]. 902 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [hyper(178,a,507,a),flip(a)]. 903 T(x / (x / y),y \ x) = y. [hyper(34,a,228,a(flip),b,508,a),flip(a)]. 904 x \ y != y / T(z,u) | T(y / (y / z),u) = x. [para(508(a,1),43(a,1)),flip(a)]. 905 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(234,a,903,a)]. 907 T(x,y \ z) != y | z / (z / y) = x. [para(903(a,1),44(a,1)),flip(a)]. 908 ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. [para(903(a,1),272(a,1,1,2))]. 910 T(x * y,(x \ 1) \ y) = x * y. [hyper(49,a,638,a)]. 911 T((x \ 1) * y,x \ y) = (x \ 1) * y. [para(315(a,1),910(a,1,2,1))]. 912 (x / (y \ z)) \ z = y \ (z * (x \ z)). [para(70(a,1),652(a,1,1)),flip(a)]. 914 (((x / y) * z) / u) \ x = (x / u) \ ((x / z) * y). [para(183(a,1),652(a,1,2)),flip(a)]. 915 ((x / y) * L(z \ 1,z,x)) \ x = x \ ((x * z) * y). [para(418(a,1),654(a,2,2,1))]. 916 ((x * y) * (z \ (x * y))) / T(x,y) = (x * y) / (y \ z). [para(17(a,2),655(a,1,2))]. 917 (x \ y) / (z \ y) = y / (z \ (x * y)). [para(187(a,1),655(a,1,1))]. 920 (x * (y \ z)) / (u \ z) = z / (u \ (y * (x \ z))). [para(177(a,1),655(a,1,1))]. 921 ((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)). [para(183(a,1),655(a,1,1))]. 924 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(318(a,2),695(a,1,1))]. 926 T(x,y) = (x \ (x / y)) * (x * y). [hyper(259,a,358,a(flip),b,732,a)]. 927 T(x,y) / (x * y) = x \ (x / y). [hyper(123,a,358,a(flip),b,732,a)]. 928 T(x,y) = (x / (y * x)) * (x * y). [para(789(a,2),926(a,2,1))]. 929 T(x,y) / (x * y) = x / (y * x). [hyper(259,a,789,a,b,927,a),flip(a)]. 930 (x / (y * x)) \ T(x,y) = x * y. [hyper(120,a,928,a,b,xx)]. 932 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(259,a,200,a,b,929,a),flip(a)]. 933 R(1 / x,x,y) \ T(y,x) = y * x. [para(200(a,2),930(a,1,1))]. 934 T(x * y,y) \ x = x / (x * y). [para(708(a,1),737(a,1,2)),flip(a)]. 935 (T(x,y) * y) \ x = x / (x * y). [para(730(a,1),934(a,1,1))]. 936 T(x,y) * y = x * ((x * y) / x). [hyper(817,a,935,a),flip(a)]. 937 T(x,x \ y) * (x \ y) = x * (y / x). [para(5(a,1),936(a,2,2,1))]. 938 T(x,y) * y = x * (x * (y / x)). [para(766(a,1),936(a,2,2))]. 939 T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). [para(493(a,1),936(a,2,2))]. 940 L(T(x,y \ 1),y,y \ 1) = (y * x) * (y \ 1). [hyper(124,a,639,a(flip),b,747,a),flip(a)]. 941 L(x * y,z,u) / y = y \ L(y * x,z,u). [para(708(a,1),747(a,1,1,1))]. 942 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(725(a,1),747(a,1,1,1)),flip(a)]. 944 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(817,a,773,a),flip(a)]. 945 T(x / (x / y),z) = T(x * (y / x),z). [hyper(34,a,508,a,b,773,a)]. 946 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(5(a,1),856(a,1,1,1)),flip(a)]. 947 (x \ T(x * y,z)) * x != u | T(y * x,z) = u. [para(856(a,1),224(a,1,1)),flip(b)]. 948 T(x,y) \ T(T(x,y) * (x \ y),z) = T(y,z) / T(x,y). [para(346(a,1),856(a,1,1,1)),flip(a)]. 949 T(x,y) = (x * y) * ((y * x) \ x). [hyper(259,a,358,a(flip),b,857,a)]. 950 (x * y) \ T(x,y) = (y * x) \ x. [hyper(120,a,358,a(flip),b,857,a)]. 951 (x * (y / x)) \ T(x,y / x) = y \ x. [para(7(a,1),950(a,2,1))]. 953 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(877(a,1),38(a,1))]. 955 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(58,a,257,a,b,902,a)]. 958 K((x \ 1) * y,x \ y) = 1. [hyper(50,a,911,a)]. 959 (x / ((x \ y) \ y)) \ y = T(y,x \ y). [hyper(259,a,17,a,b,912,a),flip(a)]. 960 (x \ y) / (y \ (y / z)) = y / ((y * z) \ (x * y)). [para(285(a,1),917(a,1,2))]. 962 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(58,a,256,a(flip),b,937,a)]. 963 ((x \ y) \ y) \ (x * (y / x)) = x \ y. [hyper(120,a,937,a(flip),b,256,a(flip))]. 965 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(105(a,1),944(a,2,2,1))]. 966 x \ T(x * (y / x),z) != u | T(y,z) / x = u. [para(944(a,2),243(a,1,2)),flip(b)]. 968 T(x,x \ y) * z = z * ((T(x,z) \ y) \ y). [hyper(125,a,955,a(flip),b,106,a),flip(a)]. 969 (x / T(x,y)) \ y = T(y,x \ y). [para(316(a,2),959(a,1,1,2))]. 970 T(x,y \ x) = y * (x / y). [hyper(777,a,962,a)]. 973 T(x,y \ x) = (y * x) / y. [hyper(259,a,766,a,b,970,a),flip(a)]. 974 T(x,x / y) = T(x,y \ x). [hyper(259,a,710,a,b,970,a)]. 978 T(T(x,y \ x),y) = x. [para(970(a,2),725(a,1,1))]. 979 T(T(x,y),y \ x) = x. [hyper(465,a,978,a)]. 980 T(x,y) != z | T(z,y \ z) = x. [para(978(a,1),44(a,1)),flip(a)]. 981 T(T(x,y),x / y) = x. [para(73(a,1),978(a,1,1,2))]. 982 T(x,y \ x) \ (y * x) = y. [para(978(a,1),206(a,1,2,2))]. 984 T(x,y) \ (y \ x) = (y \ x) / x. [para(978(a,1),365(a,1,2)),flip(a)]. 986 T(T(L(x,y \ 1,y),(y \ 1) * x),y) = L(x,y \ 1,y). [para(536(a,1),978(a,1,1,2))]. 989 T(x * T(x \ y,y),x \ y) = y. [para(801(a,2),979(a,1,1))]. 991 (x * (y * x)) / (x * y) = T(x,(x * y) \ x). [para(679(a,1),973(a,2,1)),flip(a)]. 992 T(x,x / (x / y)) = T(x,y). [para(73(a,1),974(a,2,2))]. 993 T(x,(x * y) / x) = T(x,y). [para(362(a,2),992(a,1,2))]. 994 T(x,x * (y / x)) = T(x,y). [para(765(a,1),992(a,1,2))]. 995 T(x,T(y,x)) = T(x,y). [para(205(a,1),993(a,1,2)),flip(a)]. 997 T(x,T(y,x)) = y \ (x * y). [hyper(259,a,17,a(flip),b,995,a),flip(a)]. 998 T(x,y * x) = T(x,y). [hyper(58,a,360,a(flip),b,995,a)]. 999 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(995(a,1),18(a,1,1)),flip(a)]. 1000 T(x,T(y,y \ x)) = T(x,y). [para(340(a,2),995(a,1,2))]. 1001 T(x,T(y,y * x)) = T(x,y). [para(358(a,2),995(a,1,2))]. 1002 T(x,y) * T(y,x) = x * y. [para(995(a,1),202(a,1,2))]. 1003 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(995(a,1),213(a,1,2,1))]. 1004 T(x,T(x / y,z)) = T(x,T(y \ x,z)). [para(380(a,1),995(a,1,2)),flip(a)]. 1005 T(x,y * x) = T(x,x * y). [para(708(a,1),995(a,1,2))]. 1006 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(995(a,1),257(a,1,1)),flip(a)]. 1007 R(T(x,y * x),z,x) = T(x,y). [hyper(58,a,722,a,b,998,a)]. 1009 T(x,y / x) = T(x,y). [para(7(a,1),998(a,1,2)),flip(a)]. 1011 T(x * y,T(y,x)) = T(x * y,y). [para(998(a,1),995(a,1,2))]. 1012 T(x,y / x) = (x \ y) \ y. [hyper(259,a,316,a(flip),b,1009,a),flip(a)]. 1013 T(T(x,y),z / x) = T(T(x,z),y). [para(1009(a,1),18(a,1,1)),flip(a)]. 1014 (x * (y / x)) \ T(x,y) = y \ x. [para(1009(a,1),951(a,1,2))]. 1016 T(x,T(y,x)) != z | T(x,y) = z. [para(997(a,2),244(a,1))]. 1017 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(1001(a,1),215(a,1,2,1))]. 1019 ((x \ y) * x) / ((x \ y) \ y) = T(x \ y,x). [hyper(123,a,1002,a(flip),b,255,a(flip))]. 1020 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(1002(a,1),9(a,2,1,2)),flip(a)]. 1021 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(1002(a,1),9(a,2,2,1)),flip(a)]. 1023 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(58,a,22,a,b,1005,a)]. 1025 T(R(x,y,x),z * x) = T(x,z). [hyper(58,a,22,a(flip),b,1007,a)]. 1028 T(x,y) = (y \ x) / (x \ (x / y)). [hyper(184,a,750,a(flip),b,984,a),flip(a)]. 1031 T(x * y,T(x,y)) = y * x. [hyper(35,a,728,a,b,1011,a(flip))]. 1032 T(x,y) / (y \ x) = x * (y / x). [hyper(185,a,1014,a)]. 1033 T(x,y) / (y \ x) = (x * y) / x. [hyper(259,a,766,a,b,1032,a),flip(a)]. 1034 T(x,y \ x) / ((y \ x) \ x) = x / y. [hyper(259,a,767,a(flip),b,1032,a),flip(a)]. 1035 K(x,x \ 1) = y * (1 / y). [hyper(33,a,334,a,b,963,a)]. 1038 K(x,1 / x) = y * (1 / y). [para(318(a,2),1035(a,1,2))]. 1039 L(x \ (1 / y),x,y) = (y * x) \ K(z,1 / z). [para(1038(a,2),91(a,2,2))]. 1040 T(x,y \ x) / T(y,x) = x / y. [para(316(a,2),1034(a,1,2))]. 1041 T(x * (y * z),a(x,y,z)) = a(x,y,z) \ ((x * y) * z). [hyper(468,a,xx,b,76,a)]. 1042 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(5(a,1),76(a,1,1,2))]. 1043 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(103(a,1),76(a,1,1,2))]. 1044 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(76(a,1),243(a,1,2)),flip(b)]. 1046 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(125,a,25,a,b,90,a)]. 1047 x * ((x \ y) * L(x,z,u)) = y * L(x,z,u). [hyper(125,a,684,a(flip),b,90,a),flip(a)]. 1049 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(103(a,1),90(a,1,2,2)),flip(a)]. 1050 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(33,a,108,a,b,92,a),flip(a)]. 1051 x / L(y,z,x / z) = (x / (z * y)) * z. [hyper(184,a,92,a(flip),b,654,a)]. 1052 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(89(a,1),92(a,1,2,2)),flip(a)]. 1053 (x * y) / L(x,z,u) = x * (y / L(x,z,u)). [hyper(184,a,684,a(flip),b,93,a(flip))]. 1054 (x * y) / T(x,z) = x * (y / T(x,z)). [hyper(184,a,682,a(flip),b,93,a(flip))]. 1055 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [hyper(184,a,394,a(flip),b,93,a(flip))]. 1056 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [hyper(184,a,393,a(flip),b,93,a(flip))]. 1057 x * ((x \ y) / T(x,z)) = y / T(x,z). [para(5(a,1),1054(a,1,1)),flip(a)]. 1058 x / (y * ((z * y) \ x)) = R(z,y,y \ x). [hyper(58,a,656,a(flip),b,98,a)]. 1060 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [para(534(a,1),195(a,1,1))]. 1063 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(613(a,1),199(a,1,1))]. 1064 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(318(a,1),1063(a,2,1))]. 1065 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(99(a,1),209(a,1,2))]. 1066 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(209(a,1),283(a,1))]. 1067 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(4(a,1),297(a,1,1,3))]. 1069 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(296,a,424,a),flip(a)]. 1070 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(506(a,1),424(a,2,1))]. 1071 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(259,a,932,a(flip),b,425,a),flip(a)]. 1072 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(105(a,1),1071(a,1,3)),flip(a)]. 1073 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(17(a,1),433(a,1,2,1))]. 1074 (x * y) * T(T(y,x),z) != u | T(y,z) * (x * y) = u. [para(998(a,1),433(a,1,2,1))]. 1075 (x \ 1) * K(y,y \ 1) = 1 / x. [hyper(448,a,354,a),flip(a)]. 1076 K(x,x \ 1) * (y \ 1) = 1 / y. [hyper(448,a,xx),flip(a)]. 1077 x * K(y,y \ 1) = 1 / (1 / x). [hyper(626,a,1075,a)]. 1078 x * K(y \ 1,y) = 1 / (1 / x). [para(315(a,1),1077(a,1,2,2))]. 1080 K(x \ 1,x) * y = 1 / (1 / y). [hyper(58,a,888,a,b,1078,a)]. 1082 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(5(a,1),476(a,1,1,2))]. 1084 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(484(a,1),38(a,1))]. 1086 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(530(a,1),230(a,1,1)),flip(b)]. 1087 x \ ((x / y) * (y * z)) != u | L(z,y,x / y) = u. [para(532(a,1),243(a,1,2)),flip(b)]. 1088 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(544(a,1),20(a,2,1))]. 1089 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(544(a,1),24(a,1,1)),flip(a)]. 1090 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(544(a,1),25(a,1,1)),flip(a)]. 1091 K(x,y) = L(x \ T(x,y),x,y). [hyper(259,a,11,a,b,549,a)]. 1092 K(x,y) = L(T(x,y) / x,x,y). [para(369(a,2),1091(a,2,1))]. 1093 x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u). [para(720(a,1),554(a,1,1))]. 1094 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(567(a,1),221(a,1,1))]. 1095 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(568(a,1),22(a,2,1))]. 1096 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(568(a,1),221(a,1,1)),flip(a)]. 1098 (x * (y \ (y / x))) \ 1 = (y \ (y / x)) \ (x \ 1). [hyper(120,a,696,a(flip),b,617,a(flip)),flip(a)]. 1099 (x * y) / L(T(x,z),u,w) = x * (y / L(T(x,z),u,w)). [hyper(184,a,705,a(flip),b,93,a(flip))]. 1101 (x \ 1) * L(T(x,y),z,u) = x \ L(T(x,y),z,u). [hyper(120,a,705,a(flip),b,534,a),flip(a)]. 1102 L(T(L(x,y,z),u),w,x) = L(T(x,u),y,z). [para(20(a,1),705(a,1,1))]. 1104 (x * y) / L(z,y,x) = ((x * y) / (y * z)) * y. [para(6(a,1),1051(a,1,2,3))]. 1105 R(x,y,y \ z) \ z = y * ((x * y) \ z). [hyper(178,a,1058,a)]. 1106 R(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)). [para(4(a,1),1105(a,1,1,3))]. 1107 R(x,y * z,(y * z) \ ((x * y) * z)) \ ((x * y) * z) = (y * z) * a(x,y,z). [para(9(a,2),1105(a,2,2))]. 1108 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(259,a,22,a,b,110,a)]. 1110 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(22(a,1),238(a,1,1))]. 1113 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(20(a,1),242(a,1,2))]. 1115 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(25(a,1),242(a,1,2))]. 1119 (x \ 1) \ (y \ 1) != z | (y / x) \ 1 = z. [para(525(a,1),283(a,1))]. 1120 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(103(a,1),540(a,1,1))]. 1121 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) != w | L(u,L(z,y,x),x * y) = w. [para(89(a,1),542(a,1,1))]. 1123 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(76(a,1),542(a,1,2,2))]. 1124 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(7(a,1),562(a,2,2))]. 1126 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) != u | R(x,y \ 1,z \ 1) = u. [para(466(a,1),565(a,1,2))]. 1127 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(215(a,1),565(a,1,2))]. 1131 (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. [para(970(a,2),645(a,1,2))]. 1132 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(133,a,662,a)]. 1133 L((x * y) \ x,z,u) * (y * x) = (y * x) * L((y * x) \ x,z,u). [para(726(a,1),662(a,1,1,1))]. 1134 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(133,a,663,a),flip(a)]. 1135 L((x * y) / x,z \ x,z) = (z * ((z \ x) * y)) / x. [hyper(123,a,484,a(flip),b,663,a),flip(a)]. 1136 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,89,a(flip),b,663,a),flip(a)]. 1138 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(133,a,669,a),flip(a)]. 1139 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(127,a,669,a)]. 1141 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(468,a,669,a(flip),b,297,a(flip)),flip(a)]. 1143 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(709(a,2),694(a,2,2))]. 1144 R(a(x,y,x),z,u) = a(x,y,x). [hyper(562,a,697,a)]. 1145 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(697(a,1),9(a,2,1)),flip(a)]. 1148 L(x,y,R(a(z,u,z),w,v5)) = x. [para(1144(a,2),689(a,1,3))]. 1151 (x / y) \ T(x,y) = (x * y) / x. [hyper(120,a,992,a(flip),b,785,a)]. 1152 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(6(a,1),1151(a,1,1)),flip(a)]. 1154 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(862(a,1),224(a,1,1)),flip(b)]. 1155 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(423(a,1),879(a,2,1))]. 1156 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(1155(a,2),43(a,1))]. 1157 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(200(a,1),880(a,1,1,1)),flip(a)]. 1158 (L(x / y,z,u) \ x) \ x = L(y \ x,z,u). [hyper(178,a,891,a)]. 1159 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(817,a,893,a),flip(a)]. 1160 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(234,a,900,a)]. 1161 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(125,a,900,a(flip),b,17,a(flip)),flip(a)]. 1162 x \ L(x * y,z,u) != w / x | L(y * x,z,u) = w. [para(941(a,1),41(a,1))]. 1163 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(124,a,942,a,b,xx)]. 1164 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(125,a,965,a(flip),b,17,a(flip)),flip(a)]. 1165 (x * (y * x)) / (x * y) = T(x,x \ (x / y)). [para(285(a,1),991(a,2,2))]. 1166 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(120,a,1002,a(flip),b,1003,a)]. 1167 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(18(a,1),1003(a,1,2))]. 1168 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(20(a,2),1166(a,1,1))]. 1169 T(x,y) / ((y \ x) \ x) = T(y \ x,y). [para(709(a,2),1019(a,1,1))]. 1170 T(x,y) / T(y,x) = T(y \ x,y). [para(316(a,2),1169(a,1,2))]. 1171 T(x,y) / T(y,x) = T(y \ x,x). [hyper(259,a,494,a,b,1170,a),flip(a)]. 1172 T(x \ y,y) \ T(y,x) = T(x,y). [hyper(178,a,1171,a)]. 1173 T(a(x,y,z),(x * y) * z) \ T((x * y) * z,x * (y * z)) = T(x * (y * z),(x * y) * z). [para(9(a,2),1172(a,1,1,1))]. 1174 (x \ (y * z)) * L(x,z,y) = x \ (y * (z * x)). [hyper(120,a,89,a(flip),b,1047,a),flip(a)]. 1175 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(1072(a,1),423(a,1,1))]. 1180 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(611(a,1),1132(a,1,1,2))]. 1181 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(1091(a,2),1132(a,1,1,2)),flip(a)]. 1182 K(x,y) * x = x * K(x,y). [hyper(124,a,1092,a,b,1181,a(flip))]. 1183 T(x,K(x,y)) = x. [hyper(217,a,1182,a)]. 1184 T(K(x,y),x) = K(x,y). [hyper(216,a,1182,a,b,xx)]. 1186 T(x,K(T(x,y),z)) = x. [hyper(138,a,1183,a)]. 1187 K(x,y) / x = x \ K(x,y). [hyper(184,a,1183,a(flip),b,316,a(flip))]. 1188 T(T(x,y),K(x,z)) = T(x,y). [para(1183(a,1),18(a,1,1)),flip(a)]. 1189 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(1183(a,1),214(a,1,2,1)),flip(a)]. 1190 T((x * y) / x,K(y,z)) = (x * y) / x. [para(1183(a,1),500(a,1,1,2)),flip(a)]. 1191 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(1184(a,1),214(a,1,2,1)),flip(a)]. 1192 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(1184(a,1),215(a,1,2,1)),flip(a)]. 1193 T(K(x,y),T(x,z)) = K(x,y). [hyper(49,a,1188,a)]. 1194 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(1193(a,1),239(a,1,2))]. 1196 K(x,y) * ((z * x) / z) != u | ((z * x) / z) * K(x,y) = u. [para(1190(a,1),239(a,1,2))]. 1197 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(250(a,1),1134(a,2,1,2))]. 1198 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(420(a,1),1134(a,2,1,2))]. 1199 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(611(a,1),1134(a,2,1,2))]. 1200 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(614(a,1),1134(a,2,1,2))]. 1201 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(544(a,1),1134(a,2,1,2))]. 1202 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [hyper(124,a,1138,a(flip),b,15,a(flip))]. 1203 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(251(a,1),1138(a,2,1,2))]. 1204 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1138(a,1),238(a,1,1))]. 1205 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(70(a,1),1158(a,1,1,1,1)),flip(a)]. 1206 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),1163(a,1,1,2,1)),flip(a)]. 1207 (x * (y * x)) / (x * y) = T(x,x / y). [hyper(259,a,340,a(flip),b,1165,a),flip(a)]. 1208 (x * (y * x)) / (x * y) = T(x,y \ x). [hyper(259,a,974,a(flip),b,1207,a),flip(a)]. 1209 T(x,L(K(x,y),z,u)) = x. [hyper(217,a,1191,a)]. 1210 K(x,R(K(x,y),z,u)) = 1. [hyper(121,a,1192,a,b,866,a),flip(a)]. 1217 (x * y) \ (((x * y) / z) * y) != u | (x * z) \ (x * y) = u. [para(4(a,1),246(a,1,2,2))]. 1218 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(259,a,91,a(flip),b,421,a),flip(a)]. 1219 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(125,a,421,a(flip),b,13,a(flip))]. 1221 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(104(a,1),434(a,1,2,1))]. 1222 (x * y) * L(T(x,y),z,u) != w | L(x,z,u) * (x * y) = w. [para(358(a,1),434(a,1,2,1))]. 1225 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(1001(a,1),434(a,1,2,1))]. 1227 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(198(a,1),488(a,1,2,1))]. 1228 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(91(a,1),488(a,1,2,1))]. 1229 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(250(a,1),488(a,1,2,1))]. 1230 (x * y) * T(T(x,x * z),u) = x * (y * T(T(x,z),u)). [para(700(a,1),488(a,1,2,1))]. 1231 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(548(a,1),24(a,1,1)),flip(a)]. 1232 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(58,a,1192,a(flip),b,556,a)]. 1233 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(296,a,569,a),flip(a)]. 1235 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(204(a,1),569(a,2,1)),flip(a)]. 1236 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(1235(a,2),44(a,1)),flip(a)]. 1237 (x / y) * (y * T(y \ ((x / y) \ z),u)) = x * T(((x / y) * y) \ z,u). [hyper(125,a,576,a(flip),b,92,a),flip(a)]. 1241 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(198(a,1),646(a,2,1)),flip(a)]. 1242 (L(x,y,z) * (z * y)) * a(z,y,T(x,z * y)) = (z * y) * T(x,z * y). [para(646(a,1),76(a,1,1))]. 1244 (R(T(x,y * z),y,z) * (y * z)) \ ((x * y) * z) = K(y * z,(y * z) \ ((x * y) * z)). [para(651(a,1),84(a,1,1,1))]. 1245 L(x,y \ x,x \ y) \ x = (x \ y) * (y \ x). [hyper(444,a,821,a)]. 1246 x \ (y * ((x \ y) \ x)) = L(x,y \ x,x \ y). [hyper(58,a,467,a(flip),b,822,a)]. 1249 T(x * y,x \ 1) = x * T(y,x \ 1). [hyper(216,a,940,a(flip),b,637,a)]. 1251 (x \ 1) * T(y,(x \ 1) \ 1) = T((x \ 1) * y,x). [para(315(a,1),1249(a,1,2)),flip(a)]. 1252 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(709(a,1),1249(a,2,2)),flip(a)]. 1255 T(T(x * y,z),x) != u | T(y * x,z) = u. [para(709(a,2),947(a,1))]. 1257 x \ y != z | T(y,x) / x = z. [para(725(a,1),966(a,1,2))]. 1258 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(123,a,1042,a(flip),b,103,a)]. 1260 (x * y) \ ((x * z) * (z \ y)) != u | a(x,z,z \ y) = u. [para(1042(a,1),243(a,1,2)),flip(b)]. 1261 L(x,y,z / y) * z != (z / y) * u | y * T(x,z) = u. [para(1050(a,1),38(a,1))]. 1262 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(1067(a,1),39(a,1))]. 1263 (x * y) / L(T(z,y),y,x) = ((x * y) / (z * y)) * y. [para(103(a,1),1104(a,2,1,2))]. 1264 x \ (y * z) != y * ((u * y) \ (y * z)) | R(u,y,z) = x. [para(1106(a,1),43(a,1)),flip(a)]. 1265 L(x,y,z) = (x \ (z * y)) \ (x \ (z * (y * x))). [hyper(127,a,1174,a),flip(a)]. 1266 ((x \ y) / y) * (x * (y / x)) = y / x. [para(1175(a,1),1082(a,1,2))]. 1267 x \ (y * ((y \ x) * x)) = L(x,y \ x,x \ y). [para(820(a,1),1246(a,1,2,2))]. 1268 L(x,y \ x,x \ y) = L(x,y \ x,y). [hyper(58,a,90,a(flip),b,1267,a),flip(a)]. 1269 L(x,y \ x,y) \ x = (x \ y) * (y \ x). [para(1268(a,1),1245(a,1,1))]. 1270 L(x * y,y,x) \ (x * y) = ((x * y) \ x) * (x \ (x * y)). [para(4(a,1),1269(a,1,1,2))]. 1274 (x \ (x / y)) * (y \ x) = (y \ x) * ((y * x) \ x). [para(750(a,1),385(a,1,1))]. 1275 (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. [para(472(a,1),38(a,1)),flip(a)]. 1279 (x * y) * K(z \ 1,z) = x * (1 / (1 / y)). [para(1078(a,1),473(a,2,2))]. 1280 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [hyper(58,a,888,a,b,1279,a)]. 1282 K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z). [para(1080(a,2),1280(a,2,2))]. 1284 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [para(1075(a,1),474(a,2,2))]. 1286 (1 / x) * (K(y \ 1,y) * z) = (x \ 1) * z. [para(352(a,1),475(a,1,1)),flip(a)]. 1287 (x * K(y \ 1,y)) * (1 / z) = x * (z \ 1). [para(886(a,1),475(a,2,2))]. 1288 K(x \ 1,x) * ((y \ 1) \ 1) = y. [hyper(274,a,1286,a),flip(a)]. 1289 K(x \ 1,x) * ((y \ 1) \ z) = (1 / y) \ z. [hyper(120,a,5,a(flip),b,1286,a),flip(a)]. 1292 (1 / x) * (y * K(z \ 1,z)) = (x \ 1) * y. [para(355(a,1),1286(a,1,2))]. 1293 ((x \ 1) \ 1) * K(y \ 1,y) = x. [hyper(58,a,888,a(flip),b,1288,a)]. 1294 (x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z. [para(1288(a,1),475(a,2,2))]. 1295 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [para(890(a,2),1293(a,1,1))]. 1296 ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. [para(1293(a,1),475(a,1,1)),flip(a)]. 1297 K(x,x \ 1) * (y * K(z \ 1,z)) = y. [hyper(58,a,473,a(flip),b,1295,a)]. 1298 K(x,x \ 1) * (y * (1 / (1 / z))) = y * z. [hyper(30,a,1279,a,b,1295,a),flip(a)]. 1299 K(x \ 1,x) \ y = K(z,z \ 1) * y. [hyper(120,a,1295,a(flip),b,888,a)]. 1300 K(x \ 1,x) * y != z | K(u,u \ 1) * z = y. [para(1295(a,1),887(a,2))]. 1301 (x * K(y \ 1,y)) * K(z,z \ 1) = x. [hyper(435,a,1297,a)]. 1303 (K(x \ 1,x) * y) * K(z,z \ 1) = y. [para(355(a,2),1301(a,1,1))]. 1304 K(x \ 1,x) * (y * (1 / z)) = y * (z \ 1). [hyper(30,a,1284,a,b,1303,a),flip(a)]. 1305 (x / (y \ 1)) * K(z \ 1,z) = x / (1 / y). [hyper(123,a,7,a(flip),b,1287,a),flip(a)]. 1306 ((x \ 1) \ y) * K(z \ 1,z) = (1 / x) \ y. [hyper(58,a,888,a(flip),b,1289,a)]. 1307 ((1 / x) \ y) * K(z,z \ 1) = (x \ 1) \ y. [para(1289(a,1),1303(a,1,1))]. 1308 ((1 / x) * y) * K(z \ 1,z) = (x \ 1) * y. [hyper(58,a,473,a,b,1292,a)]. 1310 (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). [para(1295(a,1),1294(a,1,1)),flip(a)]. 1311 x / (K(y \ 1,y) * z) = ((x / z) \ 1) \ 1. [hyper(123,a,7,a(flip),b,1296,a)]. 1312 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [hyper(120,a,5,a(flip),b,1296,a),flip(a)]. 1313 ((x \ 1) \ 1) * y != x * z | K(u \ 1,u) * z = y. [para(1296(a,1),38(a,1)),flip(a)]. 1314 K(x,x \ 1) * (y * (K(z \ 1,z) * u)) = y * u. [para(1080(a,2),1298(a,1,2,2))]. 1315 K(x \ 1,x) * (y / (z \ 1)) = y / (1 / z). [hyper(58,a,888,a,b,1305,a)]. 1316 K(x,x \ 1) * (y / (1 / z)) = y / (z \ 1). [hyper(30,a,1295,a,b,1305,a)]. 1318 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(70(a,1),1307(a,1,1,1))]. 1319 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [hyper(58,a,888,a,b,1308,a)]. 1320 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [hyper(30,a,1295,a,b,1308,a)]. 1321 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [para(1308(a,1),1301(a,1,1))]. 1322 ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. [para(1308(a,1),1294(a,1,1))]. 1323 (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. [hyper(58,a,888,a(flip),b,1312,a)]. 1324 (K(x,x \ 1) * y) \ z = K(u \ 1,u) * (y \ z). [para(890(a,2),1312(a,2,1)),flip(a)]. 1326 ((x \ 1) \ 1) \ (x * y) = y * K(z \ 1,z). [para(4(a,1),1323(a,1,1)),flip(a)]. 1327 (K(x,x \ 1) * y) \ z = (y \ z) * K(u \ 1,u). [para(890(a,2),1323(a,2,1)),flip(a)]. 1328 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(1323(a,1),1294(a,1,1))]. 1329 x * (K(y,y \ 1) * z) = ((x \ 1) \ 1) * z. [hyper(125,a,1295,a(flip),b,1326,a),flip(a)]. 1330 ((x \ 1) \ 1) * (y * K(z \ 1,z)) != u | x * y = u. [para(1326(a,1),227(a,1,2))]. 1331 K(x,1 / x) * y != (K(x,1 / x) * z) * u | z * u = y. [para(485(a,2),38(a,1)),flip(a)]. 1332 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(486(a,1),15(a,2,1,1)),flip(a)]. 1334 K(x \ 1,x) * (y * z) = (y * K(u \ 1,u)) * z. [para(888(a,1),486(a,1,1)),flip(a)]. 1335 K(x \ 1,x) * (y * z) = (1 / (1 / y)) * z. [para(1080(a,1),486(a,1,1)),flip(a)]. 1336 K(x \ 1,x) * (((y \ 1) \ 1) * z) = y * z. [para(1288(a,1),486(a,1,1)),flip(a)]. 1337 K(x \ 1,x) * ((y \ z) * u) = (((y \ 1) \ 1) \ z) * u. [para(1312(a,1),486(a,1,1)),flip(a)]. 1338 K(x \ 1,x) * ((y / (z \ 1)) * u) = (y / (1 / z)) * u. [para(1315(a,1),486(a,1,1)),flip(a)]. 1339 K(x \ 1,x) * y = (1 / (1 / z)) * (z \ y). [hyper(279,a,1335,a)]. 1340 (x * y) * K(z \ 1,z) = (1 / (1 / x)) * y. [hyper(58,a,888,a(flip),b,1335,a)]. 1341 K(x \ 1,x) * y = (1 / (1 / (y / z))) * z. [para(7(a,1),1335(a,1,2))]. 1342 K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. [hyper(1300,a,1336,a)]. 1343 x \ (K(y \ 1,y) * z) = ((x \ 1) \ 1) \ z. [hyper(606,a,1336,a)]. 1344 (x * y) * K(z,z \ 1) = ((x \ 1) \ 1) * y. [para(1336(a,1),1303(a,1,1))]. 1345 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. [hyper(123,a,1315,a(flip),b,1341,a(flip)),flip(a)]. 1346 K(x,x \ 1) * (y * z) = y * (K(u,u \ 1) * z). [hyper(259,a,1329,a,b,1342,a),flip(a)]. 1348 ((x \ 1) \ 1) \ ((y \ 1) \ z) = x \ ((1 / y) \ z). [para(1289(a,1),1343(a,1,2)),flip(a)]. 1349 T(x,x \ 1) * y = (x * y) * K(z,z \ 1). [hyper(259,a,256,a,b,1344,a)]. 1350 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [hyper(58,a,1310,a(flip),b,487,a),flip(a)]. 1352 K(x,x \ 1) * (((y \ 1) * z) * u) = ((1 / y) * z) * u. [para(1320(a,1),487(a,1,1)),flip(a)]. 1353 (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). [hyper(435,a,1350,a)]. 1354 K(x,x \ 1) * (y * z) = y * T(z,z \ 1). [hyper(259,a,255,a,b,1350,a),flip(a)]. 1355 x * K(y,y \ 1) = z * (((z \ x) \ 1) \ 1). [hyper(578,a,1353,a)]. 1358 K(x \ 1,x) * (y * T(z,z \ 1)) = y * z. [hyper(125,a,1354,a(flip),b,1299,a)]. 1359 x * (((x \ (y \ z)) \ 1) \ 1) = ((y \ 1) \ 1) \ z. [hyper(58,a,1318,a(flip),b,1355,a),flip(a)]. 1361 (x * y) \ (K(z,z \ 1) * u) = (x * (1 / (1 / y))) \ u. [para(1298(a,1),545(a,1,1))]. 1362 (x * (y \ z)) * L(T(L(y,y \ z,x),x * T(z,y)),u,w) = L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)). [para(755(a,1),666(a,1,2,1,1))]. 1363 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [hyper(131,a,699,a),flip(a)]. 1370 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(125,a,1033,a(flip),b,946,a),flip(a)]. 1371 T(x,y) = x / ((x * y) \ (y * x)). [hyper(58,a,1028,a,b,960,a)]. 1372 T(x,y) = x / K(y,x). [para(11(a,2),1371(a,2,2))]. 1373 K(x,y) = T(y,x) \ y. [hyper(178,a,1372,a(flip)),flip(a)]. 1374 T(T(x,y),z) * K(y,T(x,z)) = T(x,z). [hyper(124,a,18,a,b,1372,a(flip))]. 1375 T(x,y) \ x != z | K(y,x) = z. [para(1372(a,2),230(a,1,1)),flip(b)]. 1377 x * ((T(x,y) * z) \ x) = (x / z) * K(y,x). [para(1372(a,2),183(a,1,2,1,1))]. 1378 K(x,x \ y) = K(x,y). [hyper(259,a,759,a,b,1373,a)]. 1379 K(x,y) = y / T(y,x). [hyper(259,a,372,a,b,1373,a),flip(a)]. 1380 K(x,y) * T(y,x) = y. [hyper(124,a,1373,a,b,372,a)]. 1381 T(T(x,y),z) \ T(x,z) = K(y,T(x,z)). [para(18(a,1),1373(a,2,1)),flip(a)]. 1382 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(22(a,2),1373(a,2,1)),flip(a)]. 1383 K(x * y,x) = T(x,y) \ x. [para(358(a,1),1373(a,2,1))]. 1384 T(x,y) = K(y,x) \ x. [para(1373(a,2),344(a,1,1)),flip(a)]. 1385 (x * y) \ (y * x) = K(y,y * x). [para(708(a,1),1373(a,2,1)),flip(a)]. 1386 T(T(x,y),z) \ T(x,z) = K(y / x,T(x,z)). [para(1013(a,1),1373(a,2,1)),flip(a)]. 1387 K(x,x \ y) = a(z,u,z) * K(x,y). [hyper(125,a,1378,a(flip),b,687,a),flip(a)]. 1388 K(x,x * y) = K(x,y). [para(4(a,1),1378(a,1,2)),flip(a)]. 1389 K(x,T(y,x)) = K(x,y * x). [para(17(a,2),1378(a,1,2))]. 1390 K(x / y,y) = K(x / y,x). [para(73(a,1),1378(a,1,2))]. 1391 x * ((y * T(x,z)) \ x) = K(z,x) * (y \ x). [hyper(124,a,1379,a,b,115,a),flip(a)]. 1392 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(18(a,1),1379(a,2,2)),flip(a)]. 1394 (x / y) / (y \ x) = K(y,x / y). [para(105(a,1),1379(a,2,2)),flip(a)]. 1395 K(x,y) * T(y,x) != z | y = z. [para(1379(a,2),225(a,1,1))]. 1398 T(x,y \ x) = K(x,y) \ x. [para(1379(a,2),969(a,1,1)),flip(a)]. 1399 T(x,y) / T(T(x,z),y) = K(T(z,x),T(x,y)). [para(999(a,1),1379(a,2,2)),flip(a)]. 1400 x \ (K(y,x) * (z \ x)) != u | (z * T(x,y)) \ x = u. [para(1379(a,2),246(a,1,2,1))]. 1401 K(x,((y * z) * u) / (z * u)) * T(((y * z) * u) / (z * u),x) = R(y,z,u). [hyper(259,a,15,a,b,1380,a),flip(a)]. 1402 x / T(x,y) != z | K(y,x) = z. [para(1380(a,1),268(a,1,1))]. 1403 K(x * y,x) = K(y,x). [hyper(259,a,1373,a,b,1383,a),flip(a)]. 1405 K(x * y,x) = a(z,u,z) * K(y,x). [hyper(125,a,1403,a(flip),b,687,a),flip(a)]. 1406 K(x \ y,x) = K(y,x). [para(5(a,1),1403(a,1,1)),flip(a)]. 1407 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(259,a,687,a,b,1406,a),flip(a)]. 1408 K(x,y) = x \ T(x,y). [hyper(58,a,744,a(flip),b,1406,a),flip(a)]. 1409 T(x,y) = x * K(x,y). [hyper(125,a,1406,a(flip),b,744,a(flip)),flip(a)]. 1410 K(x,y) = T(x,y) / x. [hyper(259,a,369,a,b,1408,a),flip(a)]. 1411 x * T(x \ 1,y) = K(x \ 1,y). [hyper(259,a,704,a(flip),b,1408,a)]. 1412 T(x,y) = K(x,y) * x. [hyper(124,a,1408,a,b,369,a),flip(a)]. 1413 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(120,a,1408,a,b,704,a(flip))]. 1416 T(x,y) = x * K(x,x * y). [hyper(125,a,1388,a,b,1408,a(flip)),flip(a)]. 1417 (x \ y) * K(y,x) = T(x \ y,x). [hyper(125,a,1406,a(flip),b,1408,a(flip))]. 1419 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(20(a,2),1408(a,2,2)),flip(a)]. 1421 x * K(x,y) != z | T(x,y) = z. [para(1408(a,2),227(a,1,2))]. 1423 (x * (y * K(x * y,z))) * a(x,y,K(x * y,z)) = T(x * y,z). [hyper(259,a,76,a,b,1409,a)]. 1424 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [hyper(184,a,1409,a,b,174,a)]. 1425 T(x,T(y,x)) = x * K(x,y). [hyper(58,a,995,a,b,1409,a)]. 1426 T(x,y) != x * z | K(x,y) = z. [para(1409(a,2),38(a,1))]. 1427 x \ T(x,y) != z | K(x,y) = z. [para(1409(a,2),243(a,1,2)),flip(b)]. 1429 (T(x,y) * z) / (K(x,y) * z) != u | R(x,K(x,y),z) = u. [para(1409(a,2),565(a,1,1,1))]. 1430 L(T(x,y),z,u) / L(x,z,u) = K(L(x,z,u),y). [para(20(a,2),1410(a,2,1)),flip(a)]. 1431 K(x,y) * x != z | T(x,y) = z. [para(1410(a,2),224(a,1,1)),flip(b)]. 1433 K(x,y) != z | x \ T(x,y) = z. [para(1410(a,2),388(a,1))]. 1435 K(x / y,y) * (x / y) = y \ x. [hyper(296,a,1412,a),flip(a)]. 1436 K(R(x,y,z),u) * R(x,y,z) = R(T(x,u),y,z). [hyper(58,a,22,a,b,1412,a),flip(a)]. 1438 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(1412(a,2),13(a,2,2,2)),flip(a)]. 1439 T(x,y) != z * x | K(x,y) = z. [para(1412(a,2),39(a,1))]. 1440 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(1412(a,2),209(a,1,1))]. 1441 (T(x,y) * z) / (x * z) != u | R(K(x,y),x,z) = u. [para(1412(a,2),565(a,1,1,1))]. 1442 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(1412(a,2),610(a,1,2))]. 1443 K(x,y) = x / ((y * x) / y). [hyper(184,a,973,a(flip),b,1398,a(flip)),flip(a)]. 1444 K(x,y) * ((y * x) / y) = x. [hyper(125,a,973,a(flip),b,1398,a(flip))]. 1445 K(x \ y,y) = K(y,x). [hyper(34,a,1384,a(flip),b,1398,a(flip))]. 1446 T(x,y) = x * K(y \ x,x). [hyper(125,a,1445,a,b,1408,a(flip)),flip(a)]. 1447 K(x,x / y) = K(y,x). [para(73(a,1),1445(a,1,1)),flip(a)]. 1448 T(x,K(y,x)) = x. [para(1447(a,1),1183(a,1,2))]. 1449 T(x,K(y,T(x,z))) = x. [para(1447(a,1),1186(a,1,2))]. 1450 T(T(x,y),K(z,x)) = T(x,y). [para(1447(a,1),1188(a,1,2))]. 1451 T(x,L(K(y,x),z,u)) = x. [para(1447(a,1),1209(a,1,2,1))]. 1452 T(x,x * K(y,x)) = x. [hyper(463,a,1448,a)]. 1453 T(K(x,y),y) = K(x,y). [hyper(49,a,1448,a)]. 1454 K(x,y) * y = y * K(x,y). [hyper(125,a,1448,a(flip),b,17,a(flip))]. 1456 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(1448(a,1),214(a,1,2,1)),flip(a)]. 1457 T(x,y \ T(y,x)) = x. [para(744(a,1),1448(a,1,2))]. 1459 T(x,K(y,y \ x)) = x. [para(1378(a,2),1448(a,1,2))]. 1460 K(x,T(y,z)) * y = y * K(x,T(y,z)). [hyper(125,a,1449,a(flip),b,17,a(flip))]. 1461 T(T(x,y),K(z,T(x,u))) = T(x,y). [para(1449(a,1),18(a,1,1)),flip(a)]. 1463 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(1449(a,1),213(a,1,2,1)),flip(a)]. 1464 T(x * K(y,x),x) = x * K(y,x). [hyper(49,a,1452,a)]. 1467 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(1457(a,1),213(a,1,2,1)),flip(a)]. 1468 T(x,y * T(y \ 1,x)) = x. [para(704(a,1),1457(a,1,2))]. 1473 K(x,T(y,x)) = K(x,y). [hyper(29,a,1409,a(flip),b,1425,a(flip))]. 1474 K(x,y * x) = K(x,y). [hyper(58,a,1389,a(flip),b,1473,a)]. 1476 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(18(a,1),1473(a,1,2))]. 1477 K(x,y / x) = K(x,x \ y). [para(105(a,1),1473(a,1,2)),flip(a)]. 1478 K(x,(y \ x) \ x) = K(x,y). [para(316(a,1),1473(a,1,2))]. 1479 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(220(a,1),1473(a,1,2)),flip(a)]. 1480 K(x,y * x) = K(x,x * y). [para(708(a,1),1473(a,1,2))]. 1481 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(728(a,1),1473(a,1,2))]. 1482 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(221(a,1),1473(a,1,2)),flip(a)]. 1483 K(x,y / x) = K(x,y). [para(7(a,1),1474(a,1,2)),flip(a)]. 1484 x * K(y,x) = y * (x / y). [hyper(125,a,1483,a(flip),b,85,a)]. 1485 K(x,y) = ((y * x) / y) \ x. [hyper(841,a,1444,a),flip(a)]. 1487 x * T(x \ y,y) = y * K(x \ y,y). [hyper(58,a,801,a,b,1446,a)]. 1488 T(K(x,y),T(y,z)) = K(x,y). [hyper(49,a,1450,a)]. 1489 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(1450(a,1),213(a,1,2,1)),flip(a)]. 1491 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(125,a,1454,a(flip),b,174,a)]. 1493 T(x,x \ y) * (z * T(z \ 1,x)) = (z * T(z \ 1,x)) * ((x \ y) \ y). [para(1468(a,1),968(a,2,2,1,1))]. 1494 x \ (y * (x / y)) = K(y,y \ x). [hyper(58,a,85,a,b,1477,a)]. 1495 x * K(y,y \ x) = y * (x / y). [hyper(125,a,1477,a(flip),b,85,a)]. 1496 K(x,x \ y) * y = x * (y / x). [para(1477(a,1),870(a,1,1))]. 1497 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(76(a,1),1480(a,2,2))]. 1498 x \ (y * K(x,y)) = y / x. [hyper(580,a,1484,a)]. 1499 T(x,y \ x) = x * K(y,x). [hyper(259,a,970,a,b,1484,a)]. 1500 (x * y) / x = y * K(x,y). [hyper(259,a,766,a,b,1484,a)]. 1501 x / (x / y) = y * K(x,y). [hyper(259,a,765,a,b,1484,a)]. 1502 x / (x / y) = y * K(x / y,y). [hyper(259,a,768,a(flip),b,1484,a)]. 1503 (x * K(y,x)) * y = y * x. [hyper(124,a,1484,a,b,766,a)]. 1504 K(x,y) = y \ T(y,x \ y). [hyper(120,a,970,a,b,1484,a),flip(a)]. 1505 K(x,y) = y \ ((x * y) / x). [hyper(120,a,766,a,b,1484,a),flip(a)]. 1507 T(x * K(y,x),y) = x. [para(1484(a,2),725(a,1,1))]. 1508 x * (y * K(x,y)) = T(x,y) * y. [para(1484(a,2),938(a,2,2)),flip(a)]. 1509 T(x,y * K(x,y)) = T(x,y). [para(1484(a,2),994(a,1,2))]. 1510 x / (x / y) = y * K(y \ x,y). [hyper(907,a,1507,a)]. 1511 (x \ y) * K(x,x \ y) = y / x. [hyper(222,a,1507,a),flip(a)]. 1512 T(T(x * K(y,x),z),y) = T(x,z). [para(1507(a,1),18(a,1,1)),flip(a)]. 1513 T(x,y) != z | z * K(y,z) = x. [para(1507(a,1),44(a,1)),flip(a)]. 1514 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(1507(a,1),232(a,1,1,2,1)),flip(a)]. 1516 ((x * y) / x) * K(y,x) = y. [hyper(125,a,1485,a,b,xx)]. 1517 L((x * y) / x,z,u) \ L(y,z,u) = K(L(y,z,u),x). [para(1134(a,2),1485(a,2,1)),flip(a)]. 1518 (x \ T(x * y,y)) \ y = K(y,x * y). [para(1152(a,1),1485(a,2,1)),flip(a)]. 1519 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(1488(a,1),239(a,1,2))]. 1522 T(x,y \ x) = K(y,x) * x. [hyper(259,a,1454,a,b,1499,a),flip(a)]. 1523 (x * (y * x)) / (x * y) = x * K(y,x). [hyper(58,a,1208,a,b,1499,a)]. 1524 K((x \ y) \ y,y) = K(x,y). [hyper(29,a,1446,a(flip),b,1499,a(flip))]. 1525 K(x,y \ x) = K(y,x). [hyper(29,a,1409,a(flip),b,1499,a(flip))]. 1526 T(x,y \ x) != x * z | K(y,x) = z. [para(1499(a,2),38(a,1))]. 1528 K(x,T(y,x)) = K(y,x \ y). [hyper(259,a,1473,a,b,1525,a)]. 1529 K(x / y,x) = K(x,y). [para(73(a,1),1525(a,1,2)),flip(a)]. 1530 K(x,x \ (y * (z \ x))) = K(z * (y \ x),x). [para(467(a,1),1525(a,1,2))]. 1531 K(x / y,x) = K(y \ x,x). [hyper(259,a,1445,a,b,1529,a),flip(a)]. 1532 K(x / y,y) = K(x,y). [hyper(58,a,1390,a,b,1529,a)]. 1533 K(x / y,y) = K(y \ x,y). [hyper(259,a,1406,a,b,1532,a),flip(a)]. 1534 K(x * y,y) = K(x,y). [para(6(a,1),1532(a,1,1)),flip(a)]. 1535 K(x * y,y) = K(y * x,y). [hyper(259,a,1403,a,b,1534,a),flip(a)]. 1536 K(x \ (y * x),x) = K(y,x). [hyper(58,a,1406,a,b,1534,a)]. 1537 K(x,y) = ((x * y) / x) / y. [hyper(953,a,1500,a),flip(a)]. 1538 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(125,a,1500,a,b,4,a)]. 1539 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(125,a,1500,a(flip),b,73,a)]. 1540 x * (y * K(x * y,y)) = T(x * y,y). [hyper(125,a,1500,a(flip),b,1152,a(flip))]. 1541 x \ (y / (y / x)) = K(x \ y,x). [hyper(120,a,905,a(flip),b,1500,a(flip))]. 1542 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(1500(a,1),100(a,1,1))]. 1543 x \ ((y * x) / y) != z * u | z \ K(y,x) = u. [para(1500(a,2),277(a,1,2))]. 1544 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(1500(a,1),1134(a,1,1))]. 1545 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(1500(a,1),1138(a,1,1))]. 1546 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(1500(a,2),81(a,1,2))]. 1547 x * K(x \ y,x) != z | y / (y / x) = z. [para(1500(a,1),908(a,1))]. 1548 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(1500(a,1),1370(a,2,2)),flip(a)]. 1549 (x * K(y,x)) \ x = K(x,y). [para(1500(a,1),1485(a,2,1)),flip(a)]. 1551 (x * y) / ((x * y) / x) = x * K(y,x). [para(1403(a,1),1501(a,2,2))]. 1552 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(1503(a,1),930(a,1,1,2))]. 1554 x \ ((y * x) / y) = y \ T(y,x). [hyper(58,a,1408,a(flip),b,1505,a),flip(a)]. 1559 x * K(T(x,y),y) = T(x,y). [para(205(a,1),1516(a,1,1))]. 1560 T(x * L(y,z,u),(y \ x) * L(y,z,u)) = K(y,x * L(y,z,u)) * (x * L(y,z,u)). [para(1093(a,1),1522(a,1,2))]. 1561 K(T(x,y),y) = K(x,y). [para(316(a,2),1524(a,1,1))]. 1562 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(125,a,1561,a(flip),b,1505,a(flip)),flip(a)]. 1563 x * K(x / y,y) = (y \ x) * y. [hyper(125,a,1533,a,b,83,a)]. 1564 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [para(517(a,2),1536(a,1,1,2))]. 1565 ((x * y) / x) / y = x \ T(x,y). [hyper(58,a,1408,a(flip),b,1537,a),flip(a)]. 1567 K(x,x \ y) != z | K(x,y) = z. [para(759(a,2),1375(a,1))]. 1568 K(x * y,x) != z | K(y,x) = z. [para(1383(a,2),1375(a,1))]. 1572 K(x \ y,x) != z | K(y,x) = z. [para(744(a,2),1427(a,1))]. 1573 x \ L(T(x,y),z,x) != u | K(x,x * y) = u. [para(700(a,2),1427(a,1,2))]. 1575 K(x,y) != z | K(x,x * y) = z. [para(4(a,1),1567(a,1,2))]. 1577 K(x,y) != z | K(y \ x,y) = z. [para(5(a,1),1568(a,1,1))]. 1579 K(x,y) != z | K(y * x,y) = z. [para(4(a,1),1572(a,1,1))]. 1580 K(((x / y) * z) \ x,x) != u | K((x / z) * y,x) = u. [para(654(a,2),1572(a,1,1))]. 1581 K(x,y) != z | K(x * y,y) = z. [para(1536(a,1),1572(a,1))]. 1582 K(x,y * x) != z | K(x,x * y) = z. [para(1474(a,2),1575(a,1))]. 1584 K(x / y,y) != z | K(y \ x,y) = z. [para(1532(a,2),1577(a,1))]. 1585 K(x * y,y) != z | K(y * x,y) = z. [para(1534(a,2),1579(a,1))]. 1586 K(x * y,x) != z | K(y * x,x) = z. [para(1403(a,2),1581(a,1))]. 1587 K(x,x * y) != z | K(x,y) = z. [para(1385(a,1),254(a,1))]. 1588 K(x,y) != z | K(x,x \ y) = z. [para(5(a,1),1587(a,1,2))]. 1589 K(x,y * x) != z | K(x,y) = z. [para(1480(a,2),1587(a,1))]. 1591 K(x,T(y,x)) != z | K(x,y) = z. [para(1389(a,2),1589(a,1))]. 1594 K(x,y \ x) != z | K(y,x) = z. [para(1528(a,1),1591(a,1))]. 1595 K(x,y) != z | K(y \ x,x) = z. [para(1478(a,1),1594(a,1))]. 1596 K(x / y,x) != z | K(y \ x,x) = z. [para(1529(a,2),1595(a,1))]. 1597 K(x,y) * (x \ y) = y / x. [hyper(124,a,1483,a(flip),b,1394,a)]. 1598 T(1 / x,y) * x = K(x \ 1,y). [hyper(496,a,1411,a)]. 1599 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [para(73(a,1),1411(a,2,1)),flip(a)]. 1600 L(T((x \ y) \ 1,z),x \ y,x) = y \ (x * K((x \ y) \ 1,z)). [para(1411(a,1),90(a,1,2,2)),flip(a)]. 1601 (x \ y) * K(y,x) = x \ T(y,x). [hyper(259,a,745,a(flip),b,1417,a),flip(a)]. 1602 K(x,T(y,T(y,x) \ z)) = K(x,T(T(y,x),z)). [para(340(a,1),1476(a,1,2)),flip(a)]. 1604 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(944(a,2),1494(a,1,2))]. 1605 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(120,a,1502,a(flip),b,816,a)]. 1606 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [hyper(184,a,1508,a(flip),b,174,a)]. 1607 (x \ y) * K(x,y) = y / x. [para(1378(a,1),1511(a,1,2))]. 1609 (x \ y) * z != y / x | K(x,y) = z. [para(1607(a,1),38(a,1)),flip(a)]. 1610 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(1513,a,1512,a)]. 1611 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(1512(a,1),44(a,2)),flip(b)]. 1612 T(T(x * K(x \ y,x),z),y / x) = T(x,z). [para(1533(a,1),1512(a,1,1,1,2))]. 1614 (x \ y) * x != y * z | K(y / x,x) = z. [para(1563(a,1),38(a,1))]. 1615 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(1565(a,1),555(a,1,1,1))]. 1616 T(x \ 1,y) * x = K(x \ 1,y). [para(318(a,1),1598(a,1,1,1))]. 1617 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(1598(a,1),898(a,1))]. 1618 x \ T(x * y,x) = y * K(x * y,x). [para(4(a,1),1601(a,1,1)),flip(a)]. 1619 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(17(a,2),1601(a,1,1))]. 1621 ((T(x,y) \ z) \ z) * K(y,T(x,T(x,y) \ z)) = T(x,T(x,y) \ z). [hyper(58,a,256,a(flip),b,1374,a)]. 1622 T(T(x,y),z) * K(y,T(x,z)) != u | T(x,z) = u. [para(1381(a,1),227(a,1,2))]. 1623 K(x \ y,y) * y = x * T(x \ y,y). [hyper(259,a,1454,a,b,1487,a)]. 1624 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(120,a,1514,a,b,1500,a(flip))]. 1625 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(1514(a,2),249(a,1,1))]. 1626 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(1514(a,2),1485(a,2,1)),flip(a)]. 1627 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [para(1514(a,2),1537(a,2,1)),flip(a)]. 1629 (x * ((x \ y) * x)) / y = x * K(x \ y,x). [para(5(a,1),1523(a,1,2))]. 1634 K(x,y) = (1 / x) * T(x,y). [para(73(a,1),1599(a,2,2,1))]. 1636 T(x,y) = (1 / x) \ K(x,y). [hyper(120,a,1634,a,b,xx),flip(a)]. 1637 (1 / x) \ K(x,y) = K(x,y) * x. [hyper(58,a,1412,a(flip),b,1636,a),flip(a)]. 1639 ((1 / x) * K(x,y)) \ K(x,y) = x. [hyper(291,a,1637,a)]. 1640 (1 / x) * K(x,y) = K(x,y) / x. [hyper(185,a,1639,a),flip(a)]. 1641 x * (y * K(x * y,x)) = T(x * y,x). [hyper(136,a,1618,a)]. 1647 (x / T(y,T(x,z))) * K(z,x) = x * ((y * T(x,z)) \ x). [para(103(a,1),1377(a,1,2,1)),flip(a)]. 1648 K(x / y,T(y,z)) = K(x,T(y,z)). [hyper(58,a,1381,a(flip),b,1386,a),flip(a)]. 1649 T(x / y,K(x,T(y,z))) = x / y. [para(1648(a,1),1183(a,1,2))]. 1651 K(T(x,y),T(y,z)) = K(x,T(y,z)). [hyper(58,a,1392,a(flip),b,1399,a),flip(a)]. 1652 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(105(a,1),1651(a,1,1)),flip(a)]. 1653 K(x * y,T(y,z)) = K(y * x,T(y,z)). [para(708(a,1),1651(a,1,1))]. 1654 K(x \ y,T(x,z)) = K(y,T(x,z)). [hyper(58,a,1648,a(flip),b,1652,a),flip(a)]. 1655 K(x * y,T(x,z)) = K(y,T(x,z)). [para(4(a,1),1654(a,1,1)),flip(a)]. 1656 K(x * y,T(x,z)) * (y * x) = T(y * x,T(x,z)). [hyper(124,a,1653,a(flip),b,1410,a(flip))]. 1657 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(217,a,1456,a)]. 1658 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(1657(a,1),212(a,1,1,2))]. 1659 K(x * (y \ z),z) = K(z,y * (x \ z)). [hyper(1567,a,1530,a),flip(a)]. 1660 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(1544(a,2),993(a,1,2))]. 1661 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(1544(a,2),1443(a,2,2)),flip(a)]. 1662 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(120,a,1545,a,b,1500,a(flip))]. 1663 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(1545(a,2),1485(a,2,1)),flip(a)]. 1665 K(x,T(y,T(y,x) \ z)) = K(x,T(y,z)). [hyper(259,a,1476,a(flip),b,1602,a),flip(a)]. 1666 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,T(x / y,y)). [para(105(a,1),1610(a,1,1)),flip(a)]. 1667 T(x * K(x \ y,x),z) * (y / x) = (y / x) * T(x,z). [hyper(125,a,1612,a(flip),b,17,a(flip)),flip(a)]. 1668 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(1624(a,1),227(a,1,2))]. 1671 (x * ((x \ y) * x)) / y != z | y / (y / x) = z. [para(1629(a,2),1547(a,1))]. 1672 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(357(a,1),1382(a,1,1,1)),flip(a)]. 1673 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(259,a,1500,a(flip),b,1542,a),flip(a)]. 1674 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(1510(a,2),1673(a,1,1))]. 1680 K(x,x \ 1) * ((y \ 1) / z) = (1 / y) / z. [para(1076(a,1),1056(a,1,1)),flip(a)]. 1682 ((x \ (x / y)) \ (y \ 1)) \ 1 = y * (x \ (x / y)). [hyper(322,a,1098,a)]. 1683 L(T(x,y),z,u) \ (L(T(x,y),z,u) / x) = x \ 1. [hyper(30,a,741,a,b,1101,a)]. 1684 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(4(a,1),1160(a,1,1,2,1,2))]. 1685 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(1160(a,1),224(a,1,1)),flip(b)]. 1686 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(70(a,1),1161(a,1,1,1,2)),flip(a)]. 1687 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(100(a,2),1161(a,1,1,1,2))]. 1688 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(4(a,1),1164(a,2,2,2,1))]. 1689 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(198(a,2),1164(a,2,2,2,1))]. 1690 T((x \ 1) * y,x) = (x \ 1) * T(y,x). [para(315(a,1),1251(a,1,2,2)),flip(a)]. 1691 T(x,(y \ 1) \ 1) = T(x,y). [hyper(29,a,1251,a,b,1690,a(flip))]. 1694 T(x,1 / y) = T(x,y \ 1). [para(73(a,1),1691(a,1,2,1)),flip(a)]. 1695 T(x,T(y,y \ 1)) = T(x,y). [para(104(a,2),1691(a,1,2))]. 1696 T(x,1 / (1 / y)) = T(x,y). [para(182(a,1),1691(a,1,2)),flip(a)]. 1697 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(125,a,1694,a(flip),b,17,a(flip))]. 1698 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(125,a,1695,a(flip),b,17,a(flip))]. 1699 T(x,L(y,z,y)) = T(x,y). [para(677(a,2),1696(a,1,2))]. 1700 T(x,y * K(z,z \ 1)) = T(x,y). [para(1077(a,2),1696(a,1,2))]. 1701 T(x,L(y,z,y)) = x * K(x,y). [hyper(259,a,1409,a(flip),b,1699,a),flip(a)]. 1702 K(x,L(y,z,y)) = K(x,y). [hyper(1426,a,1701,a)]. 1703 T(x,L(y,z,y)) != u | T(x,y) = u. [para(1701(a,2),1421(a,1))]. 1704 K(x,1 / (1 / y)) = K(x,y). [para(677(a,1),1702(a,1,2))]. 1705 K(x,T(y / z,y)) = K(x,z \ y). [para(676(a,1),1702(a,1,2))]. 1706 K(x,K(y \ 1,y) * z) = K(x,z). [para(1080(a,2),1704(a,1,2))]. 1707 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(1284(a,1),1700(a,1,2))]. 1708 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(1318(a,1),1700(a,1,2))]. 1709 T(x,y * ((z \ 1) \ 1)) = T(x,y * z). [para(1353(a,1),1700(a,1,2))]. 1710 K(x,(y \ 1) \ 1) = K(x,y). [para(889(a,1),1706(a,1,2))]. 1711 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(1312(a,1),1706(a,1,2))]. 1712 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(1336(a,1),1706(a,1,2)),flip(a)]. 1713 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(1055(a,2),1706(a,1,2))]. 1714 K(x,R(y,z,y)) = K(x,y). [para(716(a,2),1710(a,1,2))]. 1715 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1311(a,2),1710(a,1,2))]. 1716 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(715(a,1),1714(a,1,2))]. 1717 K(x,T(y,y * z)) = K(x,T(y,z)). [para(717(a,1),1714(a,1,2)),flip(a)]. 1718 K(x,T(y,y \ z)) = K(x,T(y,z)) * 1. [hyper(259,a,3,a,b,1716,a),flip(a)]. 1719 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(60(a,2),1697(a,2,2))]. 1720 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(716(a,2),1711(a,1,2,1))]. 1721 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(890(a,2),1711(a,1,2,1))]. 1722 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(718(a,1),1720(a,1,2,1))]. 1723 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(883(a,1),1720(a,1,2,1))]. 1724 K(x,R(y,z,y) * u) = K(x,y * u). [para(716(a,2),1712(a,1,2,1))]. 1725 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(1718(a,2),130(a,1)),flip(b)]. 1726 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(727(a,2),1722(a,1,2,1))]. 1727 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(104(a,1),1725(a,1,2))]. 1729 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(58,a,256,a(flip),b,1698,a)]. 1730 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(519(a,1),1713(a,1,2,1)),flip(a)]. 1731 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(545(a,1),1721(a,1,2)),flip(a)]. 1732 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(340(a,2),1723(a,2,2,1)),flip(a)]. 1733 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),1726(a,1,2,1,1)),flip(a)]. 1734 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(1354(a,1),1731(a,1,2,2))]. 1737 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(120,a,5,a(flip),b,1322,a),flip(a)]. 1738 (((x \ 1) \ 1) \ y) * T(z,z \ 1) = (x \ y) * z. [hyper(58,a,255,a,b,1328,a)]. 1739 (K(x \ 1,x) * (y * z)) \ ((y * K(u \ 1,u)) * (z * w)) = L(w,z,y * K(u \ 1,u)). [para(1334(a,2),13(a,2,1)),flip(a)]. 1740 (x * (y * K(z \ 1,z))) \ (x * (K(u \ 1,u) * (y * w))) = L(w,y * K(z \ 1,z),x). [para(1334(a,2),13(a,2,2,2)),flip(a)]. 1742 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. [hyper(178,a,1345,a),flip(a)]. 1743 x \ (K(y,y \ 1) * z) = K(u,u \ 1) * (x \ z). [hyper(606,a,1346,a)]. 1744 (x * ((K(y,y \ 1) * z) * u)) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(1346(a,2),9(a,2,2,1)),flip(a)]. 1745 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(w \ 1,w). [para(1346(a,1),1327(a,1,1))]. 1746 T((x \ 1) \ 1,y) \ ((z \ 1) \ u) = T(x,y) \ ((1 / z) \ u). [para(902(a,2),1348(a,1,1))]. 1748 (((x / y) \ 1) \ 1) \ x = z * (((z \ y) \ 1) \ 1). [para(73(a,1),1359(a,1,2,1,1,2)),flip(a)]. 1749 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(217,a,1467,a)]. 1751 K(x,T(y,z)) * (x * y) = T(x * y,T(y,z)). [para(1655(a,1),1656(a,1,1))]. 1753 (x * (y \ (y / x))) \ 1 != z | (y \ (y / x)) \ (x \ 1) = z. [para(1682(a,1),327(a,1,1))]. 1754 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(1684(a,1),1537(a,2,1)),flip(a)]. 1755 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(613(a,1),1737(a,1,1,1,1))]. 1756 x \ (K(y,y \ 1) * z) = (x \ z) * K(u,u \ 1). [hyper(259,a,354,a(flip),b,1743,a),flip(a)]. 1758 x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. [hyper(185,a,1748,a)]. 1759 (x \ y) * K(z,z \ 1) = x \ ((y \ 1) \ 1). [para(890(a,1),1756(a,1,2)),flip(a)]. 1760 x / (y * ((z \ 1) \ 1)) = ((x / (y * z)) \ 1) \ 1. [para(4(a,1),1758(a,1,2,2,1,1))]. 1761 a(x,y,(x * y) \ 1) \ 1 = x * (y * ((x * y) \ 1)). [hyper(322,a,79,a)]. 1762 ((x * y) * (y \ 1)) * (x \ 1) = a(x,y,(x * y) \ 1). [hyper(58,a,502,a(flip),b,79,a)]. 1764 L(a(x,y,(x * y) \ z) \ 1,(x * (y * ((x * y) \ z))) \ z,z) = z \ (x * (y * ((x * y) \ z))). [para(79(a,1),415(a,1,1,1))]. 1765 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,u),y,z). [hyper(31,a,366,a,b,294,a),flip(a)]. 1767 T(x,L(x,y,z) \ u) = T(x,u). [hyper(45,a,1765,a)]. 1768 T(x,L(x,y,z) * u) = T(x,u). [para(4(a,1),1767(a,1,2)),flip(a)]. 1769 T(x \ 1,x * y) = T(x \ 1,y). [para(798(a,1),1767(a,1,2))]. 1770 T(x,(x \ 1) * y) = T(x,y). [para(849(a,1),1767(a,1,2))]. 1772 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(259,a,340,a,b,1770,a),flip(a)]. 1773 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(259,a,998,a(flip),b,1770,a),flip(a)]. 1774 T(x,L(x,y,z) * u) = T(x,x * u). [hyper(259,a,358,a,b,1768,a),flip(a)]. 1775 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(259,a,340,a,b,1769,a)]. 1776 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(5(a,1),1772(a,1,2)),flip(a)]. 1777 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(1776(a,1),1000(a,1,2))]. 1778 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(1774(a,2),1717(a,1,2))]. 1779 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(5(a,1),1778(a,1,2,2)),flip(a)]. 1780 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(200(a,1),470(a,1,1,1))]. 1781 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(100(a,1),470(a,1,1,1))]. 1782 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(251(a,1),478(a,1,1,1)),flip(a)]. 1783 (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). [para(416(a,1),482(a,1,2,1))]. 1784 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(250(a,1),482(a,1,2,1))]. 1785 x * ((y \ x) * L((y \ x) \ 1,z,u)) = (x * (y \ x)) * L(x \ y,z,u). [para(415(a,1),482(a,1,2,1)),flip(a)]. 1786 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(250(a,1),483(a,1,2,1))]. 1787 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(611(a,1),612(a,1,2,1))]. 1788 ((x \ 1) * y) * (y \ 1) = L(x,y \ 1,y) \ 1. [para(517(a,1),616(a,1,1))]. 1790 T(x,(x * y) * z) = T(x,y * z). [hyper(37,a,651,a(flip),b,881,a),flip(a)]. 1791 ((x * y) * z) / T(x,y * z) = x \ ((x * y) * z). [hyper(184,a,1790,a(flip),b,316,a(flip))]. 1792 T(x,(x \ y) * z) = T(x,y * z). [para(5(a,1),1790(a,1,2,1)),flip(a)]. 1794 T(x,T(y * z,y)) = T(x,(x \ z) * y). [para(708(a,2),1792(a,2,2)),flip(a)]. 1796 T(x,T(y * z,y)) = T(x,z * y). [hyper(259,a,1792,a(flip),b,1794,a),flip(a)]. 1797 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(259,a,1409,a(flip),b,1796,a),flip(a)]. 1798 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(1797(a,2),1421(a,1))]. 1799 T(x,(x \ y) * z) != u | T(x,y * z) = u. [para(1794(a,1),1798(a,1))]. 1800 T(x,T(x \ y,z)) != u | T(x,y * K(x \ y,z)) = u. [para(1409(a,2),1799(a,1,2))]. 1802 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(1412(a,2),1043(a,1,1))]. 1803 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(58,a,1049,a(flip),b,1088,a)]. 1804 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(125,a,1088,a(flip),b,90,a),flip(a)]. 1805 (x \ 1) * T((x \ 1) \ y,z) = x \ T(1 \ (x * y),z). [hyper(120,a,1088,a(flip),b,534,a),flip(a)]. 1806 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(497(a,1),1088(a,1,1))]. 1807 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [hyper(124,a,1095,a(flip),b,101,a),flip(a)]. 1808 L((x * y) / x,y \ x,y) = x / (x / y). [hyper(1671,a,1135,a(flip)),flip(a)]. 1810 ((x \ 1) \ 1) * (K(y \ 1,y) * z) != u | x * z = u. [para(355(a,2),1330(a,1,2))]. 1814 L((x * y) / x,z,y) \ L(y,z,y) = K(y,x). [para(674(a,1),1517(a,2,1))]. 1815 K(L(x,y,x),z) = K(x,z). [hyper(58,a,1517,a(flip),b,1814,a)]. 1817 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [para(1808(a,1),1814(a,1,1)),flip(a)]. 1818 K(x \ (x * y),z) = K(y,z). [para(401(a,1),1815(a,1,1))]. 1819 K(1 / (1 / x),y) = K(x,y). [para(677(a,1),1815(a,1,1))]. 1821 K(x \ (x * y),z) = y \ T(y,z). [hyper(259,a,1408,a(flip),b,1818,a),flip(a)]. 1822 K((x / y) \ x,z) = K(y,z). [para(7(a,1),1818(a,1,1,2))]. 1823 K((x \ 1) \ 1,y) = K(x,y). [para(319(a,1),1818(a,1,1,2))]. 1826 K(1 / x,y) = K(x \ 1,y). [para(70(a,1),1819(a,1,1,2))]. 1827 K(K(x \ 1,x) * y,z) = K(y,z). [para(1080(a,2),1819(a,1,1))]. 1829 K(R(x,y,x),z) = K(x,z). [para(716(a,2),1823(a,1,1))]. 1830 K(R(x,y,x),R(z,u,z) * w) = K(x,z * w). [hyper(259,a,1724,a(flip),b,1829,a),flip(a)]. 1831 K(T(x,x * y),z) = K(T(x,y),z). [para(717(a,1),1829(a,1,1)),flip(a)]. 1832 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(259,a,11,a(flip),b,1826,a)]. 1833 K(1 / x,y) / x = T(1 / x,y). [hyper(123,a,1826,a,b,1598,a)]. 1834 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(125,a,1826,a(flip),b,1408,a(flip))]. 1836 K(x \ (x * y),z) != u | K(y,z) = u. [para(1821(a,2),1427(a,1))]. 1837 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(1280(a,1),1827(a,1,1))]. 1838 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(1304(a,1),1827(a,1,1)),flip(a)]. 1839 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(1315(a,1),1827(a,1,1))]. 1840 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(1339(a,1),1827(a,1,1))]. 1841 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(1324(a,2),1827(a,1,1))]. 1842 K((x / y) \ x,z) != u | K(y,z) = u. [para(7(a,1),1836(a,1,1,2))]. 1844 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(319(a,1),1836(a,1,1,2))]. 1845 K((x \ y) \ y,z) != u | K(T(x,y),z) = u. [para(346(a,1),1836(a,1,1,2))]. 1846 K((x \ y) \ y,z) != u | K(T(x,x \ y),z) = u. [para(228(a,1),1842(a,1,1,1))]. 1847 K(x \ 1,y) != z | K(1 / x,y) = z. [para(321(a,1),1842(a,1,1,1))]. 1848 K(R(x,y,x),z) != u | K(x,z) = u. [para(716(a,2),1844(a,1,1))]. 1849 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(955(a,2),1844(a,1,1))]. 1850 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(715(a,1),1848(a,1,1))]. 1851 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(70(a,1),1838(a,1,1,2)),flip(a)]. 1852 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(5(a,1),1851(a,2,1))]. 1853 (x / (x / y)) \ L(y,z,y) = K(y,x). [para(675(a,1),1817(a,2,2)),flip(a)]. 1855 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(1775(a,1),1850(a,1,1))]. 1856 K(1 / x,y) != z | K(x \ 1,y) = z. [para(1832(a,1),254(a,1))]. 1857 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(70(a,1),1856(a,1,1))]. 1858 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(545(a,1),1841(a,1,1)),flip(a)]. 1859 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(1680(a,1),1841(a,1,1,1))]. 1860 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(1320(a,1),1858(a,1,1,2))]. 1861 K(x,(x / y) * z) != u | K((x / z) * y,x) = u. [para(1445(a,1),1580(a,1))]. 1862 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [para(1674(a,2),1540(a,1,2))]. 1863 K(x,x \ 1) * (y * (K(z \ 1,z) * u)) != w | y * u = w. [para(1342(a,2),1810(a,1))]. 1866 x * L(T(x \ 1,y),x,y) = (y \ (x \ y)) * x. [para(846(a,1),667(a,1,1)),flip(a)]. 1867 (x \ (y \ x)) * y = y * (x \ (y \ x)). [para(846(a,1),1866(a,1,2)),flip(a)]. 1868 T(x \ (y \ x),y) = x \ (y \ x). [hyper(216,a,1867,a,b,xx)]. 1872 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). [para(73(a,1),894(a,1,2,1,1)),flip(a)]. 1873 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(504(a,1),939(a,1,1))]. 1874 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(1873(a,1),13(a,2,1)),flip(a)]. 1875 T(x,y) \ T(T(y,x \ y),z) = T(y,z) / T(x,y). [para(733(a,1),948(a,1,2,1))]. 1876 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(970(a,1),1875(a,1,2,1))]. 1877 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(782(a,1),1876(a,1,1))]. 1878 T(L(T(x,(y \ 1) * x),y \ 1,y),y) = L(x,y \ 1,y). [para(20(a,2),986(a,1,1))]. 1879 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(91(a,1),1113(a,1,2,1))]. 1880 (x * (y * z)) * T(((x * y) * L(z,y,x)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). [para(89(a,1),1227(a,1,1))]. 1881 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(433,a,1230,a),flip(a)]. 1882 T(x,y) * (x * z) = x * (T(x,y) * z). [para(213(a,1),1881(a,1,2)),flip(a)]. 1883 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(605,a,1882,a),flip(a)]. 1884 T(x,y) * (x * T(z,T(x,y))) = x * (z * T(x,y)). [hyper(259,a,203,a(flip),b,1882,a),flip(a)]. 1885 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(127,a,1882,a)]. 1886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(120,a,64,a(flip),b,1882,a(flip)),flip(a)]. 1887 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(105(a,1),1882(a,1,1)),flip(a)]. 1888 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(468,a,1408,a,b,1886,a)]. 1889 K(x,y) = T(x,y) * (x \ 1). [hyper(259,a,1408,a,b,1886,a)]. 1890 T(x,y) \ K(x,y) = x \ 1. [hyper(120,a,1408,a,b,1886,a)]. 1893 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(1889(a,2),542(a,1,2,2))]. 1896 T(x * y,T(x,z)) = x * T(y,T(x,z)). [hyper(216,a,703,a,b,1884,a)]. 1897 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(1411(a,1),1241(a,2,2))]. 1899 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(1337(a,1),1715(a,1,2,2))]. 1900 K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). [para(1338(a,1),1706(a,1,2))]. 1901 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(1338(a,1),1715(a,1,2,2))]. 1902 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(w,w \ 1) * u). [para(1078(a,2),1361(a,2,1,2)),flip(a)]. 1903 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(1509(a,1),1552(a,1,2))]. 1904 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(259,a,1508,a(flip),b,1903,a),flip(a)]. 1905 (x / T(y,T(x,z))) * K(z,x) = K(z,x) * (y \ x). [hyper(259,a,1391,a(flip),b,1647,a),flip(a)]. 1907 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(1672(a,2),190(a,1))]. 1908 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [hyper(125,a,660,a(flip),b,1787,a),flip(a)]. 1909 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(60(a,1),1805(a,2,2,1))]. 1910 (1 / x) \ T((1 / x) * y,z) = x * T(((1 / x) \ 1) \ y,z). [hyper(626,a,1909,a),flip(a)]. 1911 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(259,a,856,a,b,1909,a),flip(a)]. 1912 T(T(x * y,z),x) / x = (x \ 1) * T((x \ 1) \ y,z). [hyper(259,a,743,a,b,1909,a)]. 1913 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),1909(a,2,2,1))]. 1914 T((x \ y) * x,z) = (x \ T(y,z)) * x. [hyper(124,a,1913,a(flip),b,1911,a(flip)),flip(a)]. 1915 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(1914(a,2),39(a,1))]. 1916 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(105(a,1),1914(a,2,1,2))]. 1917 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(1914(a,2),84(a,1,1))]. 1918 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [hyper(125,a,1916,a(flip),b,17,a(flip)),flip(a)]. 1919 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(58,a,558,a,b,1918,a)]. 1920 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(70(a,1),1918(a,1,1,1,2)),flip(a)]. 1921 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(200(a,2),1918(a,1,1,1,2))]. 1922 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(1069(a,1),1872(a,1,1)),flip(a)]. 1923 T(L(T(x,y \ 1),y \ 1,y),y) = L(x,y \ 1,y). [para(998(a,1),1878(a,1,1,1))]. 1924 T(T(x,y \ 1),y) = x. [hyper(141,a,1923,a)]. 1926 T(x,y \ 1) = x * K(y,x). [hyper(1625,a,1924,a)]. 1927 T(x * y,y \ 1) = y * x. [hyper(1255,a,1924,a)]. 1928 T(x,y \ 1) = T(x,y \ x). [hyper(980,a,1924,a),flip(a)]. 1929 T(x,y \ 1) = y * (x / y). [hyper(770,a,1924,a),flip(a)]. 1930 T(T(x,y),y \ 1) = x. [hyper(465,a,1924,a)]. 1931 T(x,y \ 1) = (y * x) / y. [hyper(234,a,1924,a),flip(a)]. 1932 T(x \ y,x \ 1) = y / x. [hyper(222,a,1924,a),flip(a)]. 1934 T(T(x,y),T(x,z) \ 1) = T(x,y). [hyper(35,a,189,a,b,1924,a),flip(a)]. 1935 T(x,y \ 1) \ y = y / x. [hyper(184,a,1924,a(flip),b,316,a(flip)),flip(a)]. 1937 T(x,y \ 1) * y = y * x. [hyper(125,a,1924,a(flip),b,17,a(flip)),flip(a)]. 1938 x \ T(y,x \ 1) = y / x. [hyper(123,a,1924,a(flip),b,709,a(flip)),flip(a)]. 1940 T((x \ 1) \ y,x) = y / (x \ 1). [para(105(a,1),1924(a,1,1))]. 1942 (x * y) / x != z | T(y,x \ 1) = z. [para(1924(a,1),272(a,1,1,2))]. 1943 T(x,y \ 1) != z | T(z,y) = x. [para(1924(a,1),138(a,1)),flip(a)]. 1944 T(x * (y \ 1),y) = (y \ 1) * x. [para(708(a,1),1924(a,1,1))]. 1945 T(x,y) = (y \ 1) * (x / (y \ 1)). [para(725(a,1),1924(a,1,1))]. 1946 x / y != z | y \ T(x,y \ 1) = z. [para(1924(a,1),758(a,1,1))]. 1947 T(x,(y \ 1) \ x) = T(x,y). [para(978(a,1),1924(a,1,1)),flip(a)]. 1948 T(K(x,y \ 1),y) = K(x,y \ 1). [para(1453(a,1),1924(a,1,1))]. 1949 x * K(y,x) != z | T(x,y \ 1) = z. [para(1924(a,1),1625(a,1))]. 1951 K(x,y \ 1) = K(y,x). [hyper(1426,a,1926,a)]. 1952 L(K(x,y \ z),y \ z,y) = z \ (y * T(y \ z,x \ 1)). [para(1926(a,2),90(a,1,2,2)),flip(a)]. 1953 T(T(T(x,y \ 1),z),y) != u | T(x,z) = u. [para(1926(a,2),1625(a,1,1,1))]. 1955 K(x \ 1,y) = K(y,x). [hyper(58,a,1710,a(flip),b,1951,a),flip(a)]. 1956 K(x \ (y \ 1),z) = K(z,y / (x \ 1)). [para(522(a,1),1951(a,1,2)),flip(a)]. 1957 T(x \ 1,K(x,y)) = x \ 1. [para(1951(a,1),1448(a,1,2))]. 1958 K(x,y) = y * T(y \ 1,x). [hyper(1617,a,1955,a),flip(a)]. 1959 K(x \ 1,y) = K(x,y \ 1). [hyper(259,a,1951,a,b,1955,a),flip(a)]. 1960 K(x \ 1,y) = K(y,y * x). [hyper(259,a,1388,a,b,1955,a),flip(a)]. 1961 K(x \ 1,y * x) = K(y,x). [hyper(259,a,1534,a(flip),b,1955,a),flip(a)]. 1962 K(x \ 1,x \ y) = K(y,x). [hyper(259,a,1406,a(flip),b,1955,a),flip(a)]. 1963 T(x \ 1,y) = K(y,x) / x. [hyper(123,a,1955,a(flip),b,1616,a),flip(a)]. 1964 T(x \ 1,y) = x \ K(y,x). [hyper(120,a,1955,a(flip),b,1411,a),flip(a)]. 1965 K(x,y \ 1) != z | K(y,x) = z. [para(1955(a,1),1844(a,1))]. 1966 (x * y) / (x \ 1) = (x \ 1) \ (y * x). [hyper(123,a,1927,a(flip),b,709,a(flip))]. 1967 T(x \ 1,y * x) = T(x \ 1,x * y). [para(1927(a,1),995(a,1,2)),flip(a)]. 1968 K(x \ 1,y * x) = K(x \ 1,x * y). [para(1927(a,1),1473(a,1,2)),flip(a)]. 1969 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(259,a,340,a,b,1928,a)]. 1970 (x \ 1) * T(y,x \ y) = y * (x \ 1). [hyper(125,a,1928,a(flip),b,17,a(flip))]. 1971 L(T(x,y \ 1),z,x) != u | T(x,y \ x) = u. [para(1928(a,2),853(a,1,1))]. 1972 T(x,(y * (z \ x)) \ 1) = T(x,x \ (z * (y \ x))). [para(467(a,1),1928(a,2,2))]. 1973 (x / (y \ 1)) / y = y \ ((y \ 1) \ x). [hyper(120,a,105,a(flip),b,1929,a(flip)),flip(a)]. 1974 x * (y * ((x \ y) / y)) = T(y,x \ 1). [para(767(a,2),1929(a,2,2)),flip(a)]. 1978 ((x \ 1) \ y) * x = x * (y / (x \ 1)). [hyper(124,a,105,a(flip),b,1931,a(flip))]. 1979 T(T(x,y),y \ 1) != z | x = z. [para(1931(a,2),272(a,1))]. 1981 (x / y) / (y \ 1) = (y \ 1) \ (y \ x). [hyper(123,a,1932,a(flip),b,709,a(flip))]. 1983 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(259,a,767,a,b,1938,a),flip(a)]. 1985 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [hyper(125,a,1947,a(flip),b,316,a(flip))]. 1986 T(x \ 1,y \ 1) = x \ K(x,y). [hyper(120,a,1955,a(flip),b,1958,a(flip)),flip(a)]. 1987 T(x \ 1,y \ x) = x \ K(x,y). [hyper(120,a,1445,a(flip),b,1958,a(flip)),flip(a)]. 1988 K(x \ 1,y) != z | K(y,x) = z. [para(1960(a,2),1587(a,1))]. 1989 x * T(x \ 1,y) != z | K(y,x) = z. [para(1964(a,2),227(a,1,2))]. 1990 K(x,y) != z | K(y \ 1,x) = z. [para(315(a,1),1965(a,1,2))]. 1992 K(x \ 1,y) != z | K(x,y \ 1) = z. [para(1955(a,1),1965(a,1))]. 1994 K(x,y) != z | K(y,x \ 1) = z. [para(315(a,1),1988(a,1,1))]. 1995 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1951(a,2),1988(a,1))]. 1996 K(T(x,y) \ 1,T(x,z)) = 1. [hyper(121,a,1934,a,b,1380,a),flip(a)]. 1998 K(T(x,y) \ 1,T(x,z)) = K(u \ 1,u). [hyper(259,a,335,a,b,1996,a),flip(a)]. 2000 x * ((x \ 1) * y) != z | (y * (x \ 1)) * x = z. [para(1944(a,1),239(a,1,2))]. 2001 T(x,y) = (1 / y) * (x / (y \ 1)). [para(318(a,2),1945(a,2,1))]. 2002 T(x \ K(y,x \ 1),x) = x \ K(y,x \ 1). [hyper(468,a,1948,a(flip),b,709,a(flip))]. 2003 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(4(a,1),1969(a,1,2,2))]. 2004 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),1969(a,1,2,2)),flip(a)]. 2005 T(x \ K(x,y),y) = x \ 1. [hyper(1943,a,1986,a)]. 2007 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(526(a,1),2004(a,1,2))]. 2008 T(x,y \ x) != z | T(x,y \ 1) = z. [para(973(a,2),1942(a,1))]. 2009 K(x,y \ 1) != z | K(x,1 / y) = z. [para(73(a,1),1995(a,1,2,1))]. 2010 K(x,R(y,z,y)) != u | K(x,y) = u. [para(716(a,2),1995(a,1,2))]. 2011 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(510(a,1),1995(a,1,2))]. 2012 K(x,T(y,1 / y)) != z | K(x,y) = z. [para(1012(a,2),1995(a,1,2))]. 2013 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(842(a,1),2010(a,1,2))]. 2015 L(x / y,y,y \ 1) = x * (y \ 1). [hyper(1131,a,1970,a)]. 2016 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(6(a,1),2015(a,1,1)),flip(a)]. 2017 (x * (y \ x)) * (x \ 1) = L(x / y,x,x \ 1). [para(379(a,1),2015(a,1,1)),flip(a)]. 2019 L(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ 1. [hyper(58,a,1788,a(flip),b,2016,a),flip(a)]. 2021 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(2016(a,1),197(a,1,2))]. 2022 L(x,y,y \ 1) * (x \ 1) = a(x,y,(x * y) \ 1). [para(2016(a,1),1762(a,1,1))]. 2023 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(29,a,1252,a,b,1974,a),flip(a)]. 2024 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,1974,a(flip),b,1164,a)]. 2030 L(L((x \ 1) \ 1,x \ 1,y),y,x) = (x * y) \ (((x \ 1) \ y) * x). [para(1978(a,2),455(a,2,2))]. 2031 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(120,a,1983,a,b,937,a)]. 2033 K(x \ 1,T(x,y)) = K(z \ 1,z). [para(102(a,1),1998(a,1,1,1))]. 2034 x * L(x \ 1,y,y \ 1) = a(x \ 1,y,y \ 1). [hyper(58,a,838,a(flip),b,2021,a)]. 2035 a(x,y,y \ 1) * x = L(x,y,y \ 1). [hyper(124,a,2021,a(flip),b,371,a)]. 2036 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(73(a,1),2024(a,1,1,2))]. 2037 a(x,y,y \ 1) * x = (y \ 1) * (y * x). [hyper(259,a,637,a,b,2035,a),flip(a)]. 2040 a(x,y,y \ 1) * x != z | L(x,y,y \ 1) = z. [para(2037(a,2),645(a,1))]. 2041 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(1985(a,1),1618(a,1,2,1)),flip(a)]. 2042 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(441,a,2003,a),flip(a)]. 2043 (x * (1 \ x)) * ((x * (y \ x)) \ x) = x * (L(x / y,x,x \ 1) \ x). [para(2017(a,1),303(a,2,2,1))]. 2044 T(x,(y * (z \ x)) \ 1) != u | T(x,z * (y \ x)) = u. [para(1972(a,2),446(a,1))]. 2045 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(105(a,1),1887(a,1,2,1))]. 2046 (x \ y) * z != (y / x) * ((x \ y) * u) | (y / x) * u = z. [para(2045(a,2),38(a,1)),flip(a)]. 2047 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(351(a,1),1908(a,1,1)),flip(a)]. 2048 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(120,a,417,a(flip),b,2047,a),flip(a)]. 2049 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(1912(a,1),758(a,1))]. 2050 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(1969(a,1),2031(a,1,1))]. 2051 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(620(a,1),2050(a,2,2))]. 2052 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(1261,a,604,a),flip(a)]. 2053 K(x \ (x / y),x) = K(y \ 1,x). [hyper(259,a,1411,a(flip),b,2052,a),flip(a)]. 2056 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(259,a,1373,a(flip),b,2053,a),flip(a)]. 2057 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2056(a,2),1375(a,1))]. 2059 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(544(a,1),1046(a,1,2,1)),flip(a)]. 2060 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(125,a,1089,a(flip),b,90,a),flip(a)]. 2061 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(120,a,1089,a(flip),b,534,a),flip(a)]. 2062 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(1 \ (x * y),z,u). [hyper(120,a,1090,a(flip),b,534,a),flip(a)]. 2064 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(1136(a,2),41(a,1))]. 2065 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [hyper(125,a,1197,a(flip),b,13,a(flip))]. 2066 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(125,a,1198,a(flip),b,92,a),flip(a)]. 2067 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(120,a,1199,a(flip),b,533,a)]. 2068 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(120,a,1200,a(flip),b,534,a),flip(a)]. 2069 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(200(a,1),1202(a,1,1,1,2))]. 2070 L(x * y,y,x) \ (x * y) = (x \ (x / y)) * (x \ (x * y)). [hyper(259,a,299,a(flip),b,1270,a),flip(a)]. 2071 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(29,a,1548,a,b,1862,a),flip(a)]. 2072 L(x * y,y,x) \ (x * y) = (x \ (x / y)) * y. [para(4(a,1),2070(a,2,2))]. 2073 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(89(a,1),560(a,1,1))]. 2074 ((x * y) * ((z \ 1) \ 1)) / ((y * z) * K(u,u \ 1)) = R(R(x,y,z),y * z,K(u,u \ 1)). [para(1353(a,1),560(a,1,1))]. 2075 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(120,a,563,a(flip),b,99,a)]. 2077 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(370(a,1),571(a,1,1))]. 2078 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(873(a,2),1727(a,1))]. 2079 T(x,R(x,y,z) * u) = T(x,u * R(x,y,z)). [hyper(37,a,22,a,b,1023,a)]. 2083 (x * y) * L(L(x,z,u),w,v5) != v6 | x * (y * L(L(x,z,u),w,v5)) = v6. [para(684(a,1),1115(a,1,2,1))]. 2087 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [para(105(a,1),1666(a,2,2,2))]. 2088 K(x,T(y / z,z)) = K(x,z \ y). [hyper(29,a,1666,a(flip),b,2087,a(flip))]. 2089 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(1154,a,1780,a)]. 2090 T(x \ (y * 1),y \ x) = x \ (y * 1). [para(319(a,1),1803(a,1,2,2)),flip(a)]. 2092 T(x \ (y * 1),y \ x) = x \ y. [hyper(259,a,151,a(flip),b,2090,a),flip(a)]. 2093 T(x \ y,y \ x) = x \ y. [para(3(a,1),2092(a,1,1,2))]. 2094 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [hyper(259,a,315,a,b,2093,a),flip(a)]. 2095 T(x \ (x / y),y) = x \ (x / y). [para(73(a,1),2093(a,1,2))]. 2096 (x \ (x / y)) * y = y * (x \ (x / y)). [hyper(125,a,2095,a(flip),b,17,a(flip)),flip(a)]. 2097 x * (y \ (y / x)) != z | (y \ (y / x)) * x = z. [para(2095(a,1),239(a,1,2))]. 2098 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2094(a,2),1995(a,1,2))]. 2099 L(x * y,y,x) \ (x * y) = y * (x \ (x / y)). [hyper(58,a,2072,a,b,2096,a)]. 2100 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(3(a,1),1804(a,2,2,1,2))]. 2102 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(127,a,2100,a),flip(a)]. 2103 x \ (y * T(y \ x,z)) = K(z,x \ y). [hyper(1989,a,2102,a),flip(a)]. 2104 L(K(x,y \ z),y \ z,y) = K(x \ 1,z \ y). [hyper(58,a,1952,a,b,2103,a)]. 2105 x * K(y,x \ z) != u | z * T(z \ x,y) = u. [para(2103(a,1),227(a,1,2))]. 2106 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(259,a,1959,a(flip),b,2104,a),flip(a)]. 2107 L(K(x,y \ z),y \ z,y) != u | K(x,(z \ y) \ 1) = u. [para(2104(a,2),1992(a,1))]. 2108 (x / y) * K(z,y) != u | x * T(x \ (x / y),z) = u. [para(73(a,1),2105(a,1,2,2))]. 2109 x * K((x \ y) \ 1,z) != u | y * T(y \ x,z) = u. [para(1955(a,2),2105(a,1,2))]. 2110 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(125,a,2106,a(flip),b,90,a),flip(a)]. 2111 (x / y) * K(z,y) = x * T(x \ (x / y),z). [hyper(2108,a,xx),flip(a)]. 2114 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(491(a,1),1807(a,1,1))]. 2115 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(70(a,1),1901(a,1,2,2,1,2)),flip(a)]. 2116 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [para(73(a,1),1910(a,2,2,1,1))]. 2117 (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). [hyper(124,a,2116,a(flip),b,856,a)]. 2119 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(5(a,1),2116(a,1,2,1)),flip(a)]. 2120 (x \ 1) \ T((1 / x) * y,z) = x * T(x \ y,z). [para(318(a,1),2116(a,1,1))]. 2121 (x * T(x \ y,y)) \ y = K(y,(1 / x) * y). [para(2116(a,1),1518(a,1,1))]. 2124 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(103(a,1),2117(a,1,1))]. 2125 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(4(a,1),2124(a,1,1,1)),flip(a)]. 2126 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2125(a,2),39(a,1))]. 2127 (x \ 1) \ T((x \ 1) * y,z) = x * T(x \ y,z). [para(318(a,1),2120(a,1,2,1,1))]. 2128 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(124,a,2127,a(flip),b,856,a)]. 2129 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(4(a,1),2128(a,1,1,2,1)),flip(a)]. 2130 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(102(a,1),2129(a,2,1,2))]. 2131 K((x * y) * (x \ 1),y) = 1. [hyper(50,a,2130,a)]. 2132 K(((1 / x) * y) * x,y) = 1. [para(73(a,1),2131(a,1,1,2))]. 2133 K(x * y,(1 / y) \ x) = 1. [para(5(a,1),2132(a,1,1,1))]. 2136 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(4(a,1),2023(a,1,2,1)),flip(a)]. 2137 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(58,a,1328,a(flip),b,2136,a),flip(a)]. 2138 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(196(a,2),2137(a,1,2))]. 2139 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(60(a,1),2061(a,2,2,1))]. 2140 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(60(a,1),2062(a,2,2,1))]. 2142 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(3(a,1),2140(a,2,2,1))]. 2144 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(250(a,1),2140(a,1,2)),flip(a)]. 2145 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(1409(a,2),2140(a,2,2,1))]. 2146 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(58,a,664,a(flip),b,2142,a)]. 2148 (x * (L(x,y,z) \ 1)) \ 1 = x \ L(x,y,z). [hyper(657,a,2146,a)]. 2149 a(x,y,(x * y) \ 1) = x \ L(x,y,y \ 1). [hyper(58,a,2022,a(flip),b,2146,a)]. 2150 (x \ L(x,y,z)) \ 1 = x * (L(x,y,z) \ 1). [para(2146(a,1),284(a,1,1))]. 2151 a(x,y,(x * y) \ 1) = a(x,y,y \ 1). [hyper(259,a,2021,a(flip),b,2149,a),flip(a)]. 2152 x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. [para(2151(a,1),1761(a,1,1)),flip(a)]. 2155 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(3(a,1),2067(a,1,2,1,2))]. 2156 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(1543,a,2155,a)]. 2157 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [para(318(a,1),2156(a,1,2,2))]. 2159 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(136,a,2157,a)]. 2160 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(259,a,1408,a(flip),b,2159,a),flip(a)]. 2161 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(58,a,1161,a,b,2159,a)]. 2162 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,2159,a(flip),b,1161,a)]. 2165 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [para(73(a,1),2162(a,1,1,2))]. 2166 K(x,1 / y) / y = (x * (1 / y)) / x. [para(318(a,2),2162(a,1,1,2))]. 2167 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(259,a,1500,a(flip),b,2166,a)]. 2168 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,2068,a(flip),b,1161,a)]. 2169 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [para(3(a,1),2068(a,2,2,1,2))]. 2170 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(58,a,1686,a(flip),b,2169,a)]. 2171 ((x * y) / x) * (y \ 1) = x \ T(x,y). [hyper(259,a,1554,a(flip),b,2170,a),flip(a)]. 2172 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(2171(a,1),542(a,1,1))]. 2174 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(668(a,1),2089(a,2,1))]. 2175 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(259,a,491,a(flip),b,2114,a),flip(a)]. 2176 ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). [hyper(901,a,2114,a(flip)),flip(a)]. 2177 ((x / y) * T(y,z)) * y = x * T(y,z). [para(73(a,1),2176(a,1,1,2,1))]. 2178 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(133,a,2177,a)]. 2179 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(127,a,2177,a)]. 2180 (x / y) * T(y,x) = (y * x) / y. [hyper(123,a,103,a(flip),b,2177,a),flip(a)]. 2181 (x * T(y,z)) * y = (x * y) * T(y,z). [para(6(a,1),2177(a,1,1,1))]. 2182 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(176(a,1),2177(a,1,1,1))]. 2183 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(418(a,1),2180(a,1,1)),flip(a)]. 2185 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(630,a,2181,a)]. 2186 (1 / T(x,y)) * x = x / T(x,y). [hyper(595,a,2181,a),flip(a)]. 2189 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(105(a,1),2181(a,1,1,2)),flip(a)]. 2190 K(x,y) = (1 / T(y,x)) * y. [hyper(259,a,1379,a,b,2186,a)]. 2192 K(x,y) / y = 1 / T(y,x). [hyper(123,a,1379,a,b,2186,a)]. 2193 K(x \ 1,x) * K(y,z) = (T(z,y) \ 1) * z. [para(2190(a,2),1319(a,1,2))]. 2195 T(x,y) = (K(y,x) / x) \ 1. [hyper(178,a,2192,a(flip)),flip(a)]. 2197 T(x \ 1,y) \ 1 = T(x,y). [para(1963(a,2),2195(a,2,1)),flip(a)]. 2198 T(x \ 1,y) = T(x,y) \ 1. [hyper(322,a,2197,a),flip(a)]. 2199 T(1 / x,y) \ 1 = T(x,y). [para(318(a,2),2197(a,1,1,1))]. 2201 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [para(2197(a,1),1710(a,1,2,1)),flip(a)]. 2203 x * T(y \ 1,z) = x * (T(y,z) \ 1). [hyper(125,a,2198,a,b,4,a)]. 2204 T(x,y \ x) \ 1 = x \ K(x,y). [hyper(58,a,1987,a(flip),b,2198,a),flip(a)]. 2205 T(x,y) \ 1 = x \ K(y,x). [hyper(58,a,1964,a(flip),b,2198,a),flip(a)]. 2206 T(x,y) = 1 / (x \ K(y,x)). [hyper(184,a,1964,a(flip),b,2198,a(flip)),flip(a)]. 2207 T((x / y) \ 1,y) = (y \ x) \ 1. [para(105(a,1),2198(a,2,1))]. 2208 x * L(T(y \ 1,z),T(y,z),x) = x / T(y,z). [para(2198(a,2),422(a,1,2,1))]. 2209 x * (T(y,z) \ 1) = x * (y \ K(z,y)). [hyper(125,a,2205,a,b,4,a)]. 2210 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2205(a,1),271(a,1,2))]. 2211 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(2205(a,2),544(a,1,1))]. 2214 (x * K(y,x)) \ 1 = x \ K(x,y). [para(1499(a,1),2204(a,1,1))]. 2215 x / ((x \ y) \ 1) = ((y / x) \ 1) \ x. [hyper(184,a,2207,a(flip),b,316,a(flip))]. 2217 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(125,a,2214,a(flip),b,1890,a)]. 2218 T(x * (y / T(x,z)),x) = (y * x) / T(x,z). [hyper(259,a,708,a,b,2185,a)]. 2221 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(166(a,1),2201(a,2,2,1))]. 2223 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(2215(a,2),767(a,1,2,1))]. 2224 ((x \ y) * x) / T(x,z) = T(y / T(x,z),x). [para(1057(a,1),2218(a,1,1)),flip(a)]. 2225 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(32,a,493,a,b,2224,a)]. 2226 T(x,y) / T(y,z) = T(x / T(y,z),y). [para(709(a,2),2224(a,1,1))]. 2227 T(T(x,y) * z,x) = T(x,y) * T(z,x). [hyper(32,a,500,a,b,2226,a),flip(a)]. 2228 T(T(x,y) * L(z,u,w),x) = T(x,y) * L(T(z,x),u,w). [para(20(a,2),2227(a,2,2))]. 2229 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(1073,a,2225,a),flip(a)]. 2230 T(T(x,y) \ z,x) = T(x,y) \ T(z,x). [hyper(120,a,709,a,b,2225,a),flip(a)]. 2231 T(T(x,y) \ z,x) != T(x,y) \ u | T(z,x) = u. [para(2230(a,2),42(a,1))]. 2233 x * L(T(T(y \ 1,z),u),T(T(y,z),u),x) = x / T(T(y,z),u). [para(2198(a,2),2208(a,1,2,1,1))]. 2234 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(213(a,1),2182(a,1,1))]. 2237 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(204(a,1),2189(a,1,2)),flip(a)]. 2240 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(745(a,1),2228(a,2,2,1))]. 2241 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(1888(a,2),2145(a,1,2,1))]. 2242 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,103,a(flip),b,2175,a),flip(a)]. 2243 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(4(a,1),2237(a,1,1,2)),flip(a)]. 2244 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(123,a,71,a(flip),b,2243,a),flip(a)]. 2245 (1 / x) \ (x \ ((y * x) / y)) = (y * x) / y. [hyper(120,a,375,a(flip),b,2244,a)]. 2246 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(434,a,2241,a)]. 2247 (T(x,y) * T(y,x)) * T(x,y) = (T(x,y) * (y * x)) * a(z,u,z). [hyper(125,a,685,a,b,1020,a),flip(a)]. 2248 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(125,a,1201,a(flip),b,90,a),flip(a)]. 2249 (x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)). [hyper(125,a,1231,a(flip),b,208,a)]. 2250 T(x * y,z) / a(x,y,K(x * y,z)) != u | x * (y * K(x * y,z)) = u. [para(1423(a,1),268(a,1,1))]. 2251 x \ (y * K((y \ x) \ 1,z)) = T(x \ (y * 1),z). [hyper(58,a,1088,a(flip),b,1600,a),flip(a)]. 2252 x \ (y * K((y \ x) \ 1,z)) = T(x \ y,z). [para(3(a,1),2251(a,2,1,2))]. 2253 x * T(x \ y,z) != u | y * K((y \ x) \ 1,z) = u. [para(2252(a,1),227(a,1,2))]. 2254 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(2253,a,1913,a)]. 2255 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(318(a,1),1922(a,1,2,2))]. 2256 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(417(a,1),2048(a,1,1)),flip(a)]. 2257 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(136,a,2256,a)]. 2258 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(259,a,4,a(flip),b,2257,a),flip(a)]. 2259 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(4(a,1),2258(a,1,2,1))]. 2260 T(x,y) * ((y * x) * a(z,u,z)) = (T(x,y) * T(y,x)) * T(x,y). [hyper(259,a,1363,a(flip),b,2247,a)]. 2261 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(318(a,1),2255(a,1,2,1,2,1))]. 2262 T(x,y) * (y * (x * a(z,u,z))) = (T(x,y) * T(y,x)) * T(x,y). [para(1363(a,1),2260(a,1,2))]. 2263 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(1773(a,1),2261(a,1,2,1)),flip(a)]. 2264 T(x,y) * (y * (x * a(z,u,z))) = (x * y) * T(x,y). [para(1002(a,1),2262(a,2,1))]. 2265 T(x,y) * (y * (x * a(z,u,z))) = x * (x * y). [hyper(259,a,381,a(flip),b,2264,a),flip(a)]. 2266 T(x,y) * (y * (x * 1)) = x * (x * y). [para(404(a,1),2265(a,1,2,2,2))]. 2267 T(x,y) * (y * x) = x * (x * y). [para(3(a,1),2266(a,1,2,2))]. 2268 L(x \ 1,x,y) * (L(x \ 1,x,y) * y) = T(L(x \ 1,x,y),y) * (y / x). [para(422(a,1),2267(a,1,2)),flip(a)]. 2269 ((x * y) \ y) * (y * ((y * x) \ y)) = ((y * x) \ y) * (((y * x) \ y) * y). [para(734(a,1),2267(a,1,1))]. 2271 T(T(R(x / y,y,z),x * z),u) = T(R(T(x / y,u),y,z),y * z). [para(22(a,2),623(a,2,1))]. 2274 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(1412(a,2),1258(a,1,2,1))]. 2275 ((T(x,y) \ z) \ z) * K(y,T(x,z)) = T(x,T(x,y) \ z). [para(1665(a,1),1621(a,1,2))]. 2276 T(T(x,y),z) * K(y,T(x,z)) = T(x,T(x,y) \ z). [para(316(a,2),2275(a,1,1))]. 2277 T(x,T(x,y) \ z) = T(x,z). [hyper(1622,a,2276,a),flip(a)]. 2279 T(x,T(x,y) * z) = T(x,z). [para(4(a,1),2277(a,1,2)),flip(a)]. 2282 T(x,x \ (T(x,y) * z)) = T(x,z). [hyper(602,a,2279,a)]. 2286 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1154,a,1781,a)]. 2287 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(259,a,662,a(flip),b,1782,a),flip(a)]. 2288 L((x * y) \ x,z,u) * (y * x) = y * (x * L(x \ (y \ x),z,u)). [hyper(58,a,1133,a,b,1784,a)]. 2290 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(58,a,2174,a(flip),b,1786,a),flip(a)]. 2291 K(x \ 1,x) * R(((y \ 1) * y) \ z,u,w) = (y \ 1) * (y * R(y \ ((y \ 1) \ z),u,w)). [para(337(a,2),1786(a,1,1))]. 2292 (x * y) \ (((x \ 1) \ y) * x) = L(L(x,x \ 1,y),y,x). [para(315(a,1),2030(a,1,1,1)),flip(a)]. 2293 (x * y) \ (((x \ 1) \ y) * x) = L(x,x \ 1,y). [hyper(259,a,684,a(flip),b,2292,a),flip(a)]. 2295 (x * y) \ (x * (y / (x \ 1))) = L(x,x \ 1,y). [para(1978(a,1),2293(a,1,2))]. 2296 T(x * y,x * (y / (x \ 1))) \ (x * (y / (x \ 1))) = T(L(x,x \ 1,y),x * (y / (x \ 1))). [para(2295(a,1),350(a,1,1)),flip(a)]. 2297 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(127,a,2059,a)]. 2298 (x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y). [hyper(120,a,660,a(flip),b,2059,a),flip(a)]. 2299 x * (T(y,x) * L((x \ (y * x)) \ z,u,w)) = (y * x) * L((y * x) \ (x * z),u,w). [para(17(a,2),2059(a,1,2,1))]. 2300 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(1221,a,2298,a),flip(a)]. 2301 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(125,a,664,a(flip),b,2298,a(flip))]. 2302 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(2298(a,2),247(a,1))]. 2304 T(L(x,y,z) * u,x) / x = L(x,y,z) * (x \ u). [hyper(1257,a,2300,a)]. 2305 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [para(5(a,1),2300(a,1,2)),flip(a)]. 2307 L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y). [para(797(a,1),2300(a,1,2)),flip(a)]. 2308 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [para(2300(a,2),1143(a,1,1))]. 2309 L(x,y,z) * (x \ (u * x)) = T(L(x,y,z) * u,x). [hyper(216,a,694,a,b,2301,a),flip(a)]. 2310 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(4(a,1),2301(a,1,2,2)),flip(a)]. 2311 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(127,a,2305,a)]. 2312 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(120,a,61,a(flip),b,2305,a),flip(a)]. 2313 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(136,a,2312,a)]. 2314 x * L(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ x. [hyper(125,a,2019,a,b,2312,a)]. 2316 L(x,y \ 1,y) \ 1 = x \ a(y,y \ 1,x). [para(1060(a,1),2312(a,1,2)),flip(a)]. 2317 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(58,a,2150,a,b,2313,a)]. 2318 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [para(2313(a,1),2148(a,1,1))]. 2319 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(330,a,2317,a)]. 2321 L(x,y,y \ 1) \ x = a(x,y,y \ 1) \ 1. [para(2021(a,1),2317(a,1,1)),flip(a)]. 2322 (x * y) \ L(x * y,y,x) = (y * (x \ (x / y))) \ 1. [para(2099(a,1),2318(a,1,1)),flip(a)]. 2323 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(2319(a,1),1634(a,2,1)),flip(a)]. 2325 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(120,a,148,a(flip),b,2310,a)]. 2326 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(2310(a,1),209(a,1,2))]. 2327 L(x \ 1,x,(x \ 1) \ y) \ y = (x \ 1) * (x * ((x \ 1) \ y)). [hyper(125,a,798,a(flip),b,2311,a(flip)),flip(a)]. 2328 L(x \ 1,y,y \ 1) = x \ a(y,y \ 1,x). [hyper(58,a,2019,a,b,2316,a)]. 2329 a(x,y,y \ 1) \ 1 = a(y \ 1,y,x). [hyper(58,a,1064,a(flip),b,2321,a),flip(a)]. 2330 a(x \ 1,x,y) \ 1 = a(y,x,x \ 1). [hyper(322,a,2329,a)]. 2331 x * (y * ((x * y) \ 1)) = a(y \ 1,y,x). [hyper(58,a,2152,a,b,2329,a)]. 2332 a(x \ 1,x,y) \ 1 != z | a(y,x,x \ 1) = z. [para(2329(a,1),327(a,1,1))]. 2335 (x / y) * (L(x / y,z,u) \ y) = L(x / y,z,u) \ x. [para(7(a,1),2325(a,1,2)),flip(a)]. 2336 (x * y) \ (x * (x * (L(x,z,u) \ y))) = (L(x,z,u) * y) \ (x * y). [para(2325(a,1),653(a,1,2,2))]. 2337 L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. [para(2308(a,1),777(a,1))]. 2338 T(L(x,y,z) * (u / x),x) = L(x,y,z) * (x \ u). [para(7(a,1),2309(a,1,2,2)),flip(a)]. 2339 a(x \ 1,y,y \ 1) = L(x,y \ 1,y) \ x. [hyper(58,a,2034,a(flip),b,2314,a)]. 2340 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [hyper(259,a,1060,a(flip),b,2339,a),flip(a)]. 2341 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [para(315(a,1),2340(a,1,1)),flip(a)]. 2342 a(x,x \ 1,y \ 1) = a(x \ 1,x,y) \ 1. [hyper(259,a,2330,a,b,2341,a),flip(a)]. 2343 a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. [para(2342(a,2),2332(a,1))]. 2344 T(L(L(x,x \ 1,y),z,u) * (y * (x \ 1)),L(x,x \ 1,y)) = L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y). [para(453(a,1),2338(a,1,1,2))]. 2345 x \ (L(y / x,z,u) * ((y / x) \ x)) = (L(y / x,z,u) \ y) \ x. [para(2335(a,1),467(a,1,1)),flip(a)]. 2346 (x \ 1) * (y \ (y / (x \ 1))) != z | x \ L(x,x \ 1,y) = z. [para(416(a,1),2302(a,1,2))]. 2348 L(x \ 1,x,(x \ 1) \ y) \ y != z | L((x \ 1) \ y,x,x \ 1) = z. [para(2327(a,2),645(a,1))]. 2349 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(127,a,2066,a)]. 2350 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(1685,a,2069,a)]. 2351 ((x * (y / ((1 / y) * y))) / x) / y = ((x * (1 / (1 / y))) / x) * (1 / y). [hyper(629,a,2069,a)]. 2352 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [hyper(279,a,2069,a)]. 2353 ((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(99(a,1),2069(a,1,2))]. 2354 T(T(R(x / y,y,z),x * z),u) = R(T(T(x / y,u),y * z),y,z). [hyper(259,a,22,a,b,2271,a),flip(a)]. 2355 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(668(a,1),2286(a,2,1))]. 2356 (x * y) * R((x * y) \ ((x * z) * y),u,w) = (x * R(z,u,w)) * y. [para(669(a,1),2286(a,2,1))]. 2357 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(259,a,1784,a(flip),b,2287,a),flip(a)]. 2358 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(6(a,1),2287(a,1,1,1,1,1)),flip(a)]. 2359 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(662(a,1),2287(a,1,1))]. 2360 L(x \ (x / y),z,u) * (y * x) = y * (x * L(x \ (y \ x),z,u)). [para(285(a,1),2288(a,1,1,1))]. 2361 L(L(x \ 1,x,y),z,u) * (x * y) = x * (y * L(y \ (x \ y),z,u)). [para(198(a,2),2288(a,1,1,1))]. 2362 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(3(a,1),2297(a,1,2,2,1,2)),flip(a)]. 2363 (x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(x \ (x * y),z,u)). [hyper(58,a,299,a(flip),b,2362,a)]. 2364 (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),2362(a,1,1)),flip(a)]. 2365 (x \ (y \ x)) * L(((y * x) \ x) \ 1,z,u) = (y * x) \ (x * L(x \ (y * x),z,u)). [para(288(a,1),2362(a,1,1))]. 2366 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(((x \ y) \ y) \ 1,z,u). [para(316(a,2),2362(a,1,1)),flip(a)]. 2367 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(244,a,2326,a),flip(a)]. 2368 L(x \ (y * (L(y,z,u) \ x)),x,y) = (L(y,z,u) * x) \ (y * x). [hyper(610,a,2336,a)]. 2369 L((x * (L(x,y,z) \ u)) / u,u,x) * u = u * ((L(x,y,z) * u) \ (x * u)). [para(2368(a,1),662(a,2,2))]. 2370 x \ (L(y / x,z,u) * (x * (y \ x))) = (L(y / x,z,u) \ y) \ x. [para(290(a,1),2345(a,1,2,2))]. 2371 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),2349(a,1,2,2,1))]. 2372 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(577,a,2371,a)]. 2373 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(2371(a,1),577(a,1))]. 2374 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(259,a,2160,a(flip),b,2372,a),flip(a)]. 2376 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(1161(a,1),2350(a,2,1))]. 2377 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(2161(a,1),2350(a,2,1))]. 2378 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(570(a,1),2354(a,1,1)),flip(a)]. 2379 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(125,a,2378,a(flip),b,651,a)]. 2380 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(204(a,1),2378(a,1,1,1)),flip(a)]. 2381 x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. [hyper(58,a,1229,a(flip),b,2379,a)]. 2382 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(491(a,1),2379(a,2,1))]. 2383 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(491(a,1),2381(a,2,1))]. 2384 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(2(a,1),2382(a,1,2,1,2))]. 2386 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(1411(a,1),2384(a,2,1))]. 2387 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(1599(a,2),2384(a,2,1))]. 2388 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(127,a,2386,a)]. 2389 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [hyper(58,a,1229,a(flip),b,2386,a)]. 2391 T((x * y) \ y,T(x,z)) = (x * y) \ (K(u \ 1,u) * y). [para(2033(a,1),2388(a,1,2,1)),flip(a)]. 2392 x * (y * T(y \ (x \ y),z)) = K(z,x) * y. [para(1955(a,1),2389(a,2,1))]. 2393 x \ (K(y,x) * z) = z * T(z \ (x \ z),y). [hyper(127,a,2392,a)]. 2394 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(259,a,2388,a(flip),b,2391,a),flip(a)]. 2395 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(5(a,1),2383(a,1,2,2,1,2,2))]. 2396 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),2383(a,1,2,2,1,2,2)),flip(a)]. 2397 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(91(a,2),2383(a,1,2,2,1,2)),flip(a)]. 2398 (x * (y * T(y \ (x \ z),u))) / y = x * T(x \ (z / y),u). [hyper(133,a,2396,a)]. 2399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(103(a,1),2396(a,1,1)),flip(a)]. 2400 x * (y * T(y \ (x \ z),x)) = T(z / y,x) * y. [para(742(a,1),2396(a,1,1)),flip(a)]. 2401 x * (y * T(y \ (x \ z),x)) = y * T(y \ z,x). [hyper(259,a,491,a(flip),b,2400,a),flip(a)]. 2402 x * T(x \ (y * z),y) = y * (x * T(x \ z,y)). [para(4(a,1),2401(a,1,2,2,1,2)),flip(a)]. 2403 (x \ y) * T((x \ y) \ z,x) = y * T(y \ z,x). [hyper(29,a,1804,a,b,2402,a(flip))]. 2404 x * T(x \ (y * (z \ x)),z) = T(y,z) * (z \ x). [hyper(1073,a,2403,a),flip(a)]. 2406 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(709(a,1),2404(a,2,1)),flip(a)]. 2407 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(58,a,1229,a,b,2399,a)]. 2408 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(58,a,1411,a(flip),b,2407,a),flip(a)]. 2409 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(269,a,2355,a),flip(a)]. 2410 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(58,a,1786,a(flip),b,2355,a)]. 2411 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(216,a,2355,a(flip),b,1786,a(flip)),flip(a)]. 2412 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(120,a,2355,a(flip),b,2060,a),flip(a)]. 2415 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(1065(a,1),2355(a,1,2,1)),flip(a)]. 2416 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),2411(a,1,2,1,2)),flip(a)]. 2417 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(120,a,2416,a,b,xx)]. 2418 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),2356(a,1,2,1)),flip(a)]. 2420 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(127,a,2418,a)]. 2421 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(215(a,1),2418(a,1,1)),flip(a)]. 2422 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(2420(a,1),2380(a,1,1)),flip(a)]. 2423 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(125,a,2422,a(flip),b,651,a)]. 2424 T(x,y * R(x,z,u)) = T(x,y). [hyper(216,a,760,a(flip),b,2423,a)]. 2425 T(x,R(x,y,z) * u) = T(x,u). [hyper(58,a,2079,a,b,2424,a)]. 2427 T(x,R(x,y,z) * u) = T(x,x * u). [hyper(259,a,358,a,b,2425,a),flip(a)]. 2428 (R(x,y,z) * u) * T(x,u) = x * (R(x,y,z) * u). [hyper(125,a,2425,a(flip),b,17,a(flip))]. 2429 T(x,x * (R(x,y,z) \ u)) = T(x,u). [para(5(a,1),2427(a,1,2)),flip(a)]. 2430 T(x,x * (R(x,y,z) \ u)) = x * K(x,u). [hyper(259,a,1409,a(flip),b,2429,a),flip(a)]. 2431 K(x,x * (R(x,y,z) \ u)) = K(x,u). [hyper(1426,a,2430,a)]. 2432 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(103(a,1),2421(a,1,1)),flip(a)]. 2433 (x * y) * R(T(x,y),z,u) = x * (R(x,z,u) * y). [hyper(58,a,2428,a(flip),b,2432,a),flip(a)]. 2434 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [hyper(123,a,2432,a(flip),b,1503,a)]. 2435 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [hyper(58,a,670,a(flip),b,2433,a)]. 2436 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(606,a,2435,a)]. 2437 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(591,a,2435,a)]. 2439 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(99(a,1),2436(a,1,2)),flip(a)]. 2440 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(133,a,2439,a),flip(a)]. 2441 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(662(a,1),2357(a,1,1))]. 2442 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(4(a,1),2358(a,1,2,1)),flip(a)]. 2443 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(662(a,1),2358(a,2,1))]. 2444 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(663(a,1),2442(a,1,1))]. 2445 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(630,a,2444,a)]. 2447 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(259,a,146,a(flip),b,2444,a),flip(a)]. 2448 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(127,a,2444,a)]. 2451 (x / y) * L(y,z,x / z) = ((x / z) * (z * y)) / y. [hyper(123,a,532,a(flip),b,2447,a),flip(a)]. 2452 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(123,a,89,a(flip),b,2447,a),flip(a)]. 2453 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(2448(a,1),2380(a,1,1)),flip(a)]. 2455 (x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [para(2452(a,1),654(a,1,1)),flip(a)]. 2456 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(125,a,2453,a(flip),b,651,a)]. 2457 T(x,y * L(x,z,u)) = T(x,y). [hyper(216,a,763,a(flip),b,2456,a)]. 2458 T(x,y / L(x,z,u)) = T(x,y). [para(7(a,1),2457(a,1,2)),flip(a)]. 2459 T(x,y / (x \ 1)) = T(x,y). [para(456(a,1),2457(a,1,2))]. 2460 T(x,x \ (y / (x \ 1))) = T(x,y). [hyper(602,a,2459,a)]. 2461 T(x,L(x,y,z) \ u) = T(x,u / L(x,w,v5)). [hyper(259,a,1767,a,b,2458,a)]. 2462 T(x,y / L(x,z,u)) = K(x,y) * x. [hyper(259,a,1412,a(flip),b,2458,a),flip(a)]. 2463 T(x,y / L(x,z,u)) != w * x | K(x,y) = w. [para(2458(a,2),1439(a,1))]. 2464 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [para(513(a,1),2460(a,1,2,2))]. 2465 K(x,y / L(x,z,u)) = K(x,y). [hyper(1439,a,2462,a)]. 2466 K(x,y * L(x,z,u)) = K(x,y). [para(6(a,1),2465(a,1,2)),flip(a)]. 2467 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(2144(a,1),2464(a,1,2,2,1)),flip(a)]. 2468 T(x,y / L(x,z,u)) = K(x,L(x,w,v5) \ y) * x. [hyper(58,a,1412,a(flip),b,2461,a),flip(a)]. 2469 K(x,L(x,y,z) \ u) = K(x,u). [hyper(2463,a,2468,a),flip(a)]. 2470 K(x,L(x,y,z) * u) = K(x,u). [para(4(a,1),2469(a,1,2)),flip(a)]. 2471 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(259,a,1388,a,b,2470,a),flip(a)]. 2472 K(x,(x \ 1) \ y) = K(x,x * y). [para(848(a,1),2471(a,1,2))]. 2473 ((x / y) * (y * (y \ 1))) / (y \ 1) = (x / (y \ 1)) * (x \ (x / y)). [para(420(a,1),2451(a,1,2)),flip(a)]. 2474 x \ ((x / L(y,z,x / z)) * y) = (((x / z) * (z * y)) / y) \ x. [para(2451(a,1),654(a,1,1)),flip(a)]. 2475 (((x / y) * (y * z)) / z) \ x = x \ (((x / (y * z)) * y) * z). [para(1051(a,1),2474(a,1,2,1)),flip(a)]. 2476 (((x / y) * (y * z)) / z) \ x = a(x / (y * z),y,z). [hyper(259,a,80,a(flip),b,2475,a),flip(a)]. 2478 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(2359(a,1),217(a,2)),flip(a)]. 2480 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(67(a,1),2441(a,1,1,2,1,2)),flip(a)]. 2481 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(216,a,2443,a(flip),b,1784,a(flip)),flip(a)]. 2482 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(2443(a,2),217(a,2)),flip(a)]. 2483 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),2481(a,1,2,1,2)),flip(a)]. 2484 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * (((x * y) * (y \ 1)) \ x). [hyper(259,a,300,a(flip),b,2473,a),flip(a)]. 2485 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * (L(x,y,y \ 1) \ x). [para(2016(a,1),2484(a,2,2,1))]. 2486 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * a(y \ 1,y,x). [para(1064(a,1),2485(a,2,2))]. 2487 x * a(y \ 1,y,x) = (x / y) / (y \ 1). [para(64(a,1),2486(a,1,1)),flip(a)]. 2488 x \ ((y \ 1) \ (y \ x)) = a(y \ 1,y,x). [hyper(120,a,1981,a(flip),b,2487,a)]. 2491 ((x \ 1) * ((y * z) \ 1)) \ (((z * x) \ 1) * (y \ 1)) = a(x \ 1,z \ 1,y \ 1). [para(466(a,1),514(a,1,1,2))]. 2492 (x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(1419(a,1),552(a,1,1)),flip(a)]. 2493 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(1436(a,1),561(a,1,1,1))]. 2494 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(103(a,2),1232(a,2,1,1,1))]. 2496 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(486(a,1),1332(a,1,1))]. 2497 x * (L(x / y,x,x \ 1) \ x) = (x * x) * ((x * (y \ x)) \ x). [para(60(a,1),2043(a,1,1,2)),flip(a)]. 2498 x * (L(x / y,x,x \ 1) \ x) = (x * x) * (x \ y). [para(286(a,1),2497(a,2,2))]. 2501 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(58,a,1055,a(flip),b,2496,a)]. 2503 R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * (((y * z) * u) / (z * u)). [para(336(a,1),2501(a,1,1)),flip(a)]. 2504 R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * R(y,z,u). [para(15(a,2),2503(a,2,2))]. 2505 ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). [hyper(1126,a,524,a),flip(a)]. 2506 ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). [para(284(a,1),2505(a,1,1,2,2))]. 2508 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(13(a,2),2506(a,1,1)),flip(a)]. 2510 L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. [hyper(58,a,860,a(flip),b,2508,a)]. 2511 R(x,y \ 1,z \ 1) \ 1 = L(x \ 1,y,z). [hyper(322,a,2508,a(flip))]. 2512 R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [para(315(a,1),2508(a,2,1,1))]. 2514 L(x,x \ 1,y \ 1) \ 1 = L(x \ 1,x,y). [hyper(322,a,2510,a(flip))]. 2515 R(x \ 1,y \ 1,z \ 1) != u \ 1 | L(x,y,z) = u. [para(2512(a,2),43(a,1))]. 2516 (x / y) * (y * T(y \ ((x / y) \ z),u)) = x * T(x \ z,u). [para(7(a,1),1237(a,2,2,1,1))]. 2517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [hyper(58,a,2389,a(flip),b,2516,a)]. 2518 (x / y) * T((x / y) \ (z / y),u) = (x * T(x \ z,u)) / y. [hyper(123,a,2516,a(flip),b,2396,a),flip(a)]. 2519 (x * T(x \ y,z)) / y = K(z,x / y). [hyper(123,a,2516,a(flip),b,2392,a(flip))]. 2522 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(259,a,1913,a(flip),b,2517,a),flip(a)]. 2523 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,1228,a(flip),b,2517,a)]. 2524 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(2253,a,2517,a(flip)),flip(a)]. 2525 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(4(a,1),2517(a,2,2,1))]. 2526 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(70(a,1),2517(a,1,1,1,1))]. 2527 K((x / y) \ 1,z) * y != u | y * K((y \ x) \ 1,z) = u. [para(2517(a,2),2253(a,1))]. 2528 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(30,a,1623,a,b,2526,a)]. 2529 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(73(a,1),2526(a,1,1,1))]. 2530 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(315(a,1),2526(a,1,1,1))]. 2531 K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). [para(2033(a,1),2526(a,1,1))]. 2532 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(2529(a,2),2389(a,1,2))]. 2533 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2530(a,2),2389(a,1,2))]. 2534 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(58,a,1312,a(flip),b,2531,a),flip(a)]. 2535 ((x / y) * (y * T(y \ ((x / y) \ z),u))) / w = (x / w) * T((x / w) \ (z / w),u). [para(2516(a,2),2518(a,2,1)),flip(a)]. 2536 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),2532(a,2,1,1))]. 2537 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(4(a,1),2536(a,1,2,2)),flip(a)]. 2539 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(468,a,2537,a,b,xx),flip(a)]. 2540 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,2537,a,b,xx)]. 2542 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(315(a,1),2533(a,2,1,1))]. 2543 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(2540(a,1),2523(a,2,1,1))]. 2544 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(1086,a,2539,a)]. 2545 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(103(a,1),2544(a,2,2))]. 2546 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [hyper(120,a,103,a(flip),b,1242,a)]. 2547 (L(x,T(y,z),z) * (y * z)) \ (x * (z * T(y,z))) = a(z,T(y,z),T(x,z * T(y,z))). [para(103(a,1),2546(a,1,1,2))]. 2548 K(L(x,y,z) * (z * y),a(z,y,T(x,z * y))) != u | K(L(x,y,z) * (z * y),x * (z * y)) = u. [para(2546(a,1),1567(a,1,2))]. 2549 K(L(x,y,z) * (z * y),x * (z * y)) * a(z,y,T(x,z * y)) = (x * (z * y)) / (L(x,y,z) * (z * y)). [para(2546(a,1),1597(a,1,2))]. 2550 (x * (y \ x)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))). [para(2362(a,1),1785(a,1,2)),flip(a)]. 2551 L(x / y,z,u) * (y * (x \ y)) = y * (x \ (y * L(y \ x,z,u))). [hyper(58,a,855,a,b,2550,a)]. 2552 x \ (x * (y \ (x * L(x \ y,z,u)))) = (L(y / x,z,u) \ y) \ x. [para(2551(a,1),2370(a,1,2))]. 2553 (L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)). [hyper(245,a,2552,a),flip(a)]. 2555 (x \ (y * L(y \ x,z,u))) \ y = T(L(x / y,z,u) \ x,y). [para(2553(a,1),316(a,2,1)),flip(a)]. 2556 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(61(a,1),2065(a,2,2,2,1,2,2))]. 2557 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(58,a,2376,a(flip),b,2556,a)]. 2558 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(2159(a,1),2556(a,2,2))]. 2559 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(5(a,1),2558(a,1,2,1))]. 2560 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(1562(a,1),2248(a,1,2,2)),flip(a)]. 2561 ((x * y) \ x) * (((x * y) \ x) * x) = (x \ (y \ x)) * (x * ((x * y) \ x)). [para(288(a,1),2269(a,1,1)),flip(a)]. 2562 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(162(a,1),2351(a,1,1,1,2)),flip(a)]. 2563 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(1685,a,2562,a)]. 2564 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(2563(a,1),2557(a,1,1)),flip(a)]. 2565 ((x * y) \ x) * (((x * y) \ x) * x) = (x \ (y \ x)) * (x / y). [para(186(a,1),2561(a,2,2))]. 2566 ((x * y) \ x) * (y \ x) = (x \ (y \ x)) * (x / y). [para(796(a,1),2565(a,1,2))]. 2567 (x \ (x / y)) * (y \ x) = (x \ (y \ x)) * (x / y). [hyper(58,a,299,a(flip),b,2566,a)]. 2568 (x \ (y \ x)) * (x / y) = (y \ x) * ((y * x) \ x). [hyper(58,a,1274,a(flip),b,2567,a),flip(a)]. 2569 (x \ (y \ x)) * (x / y) = (y \ x) * (x \ (y \ x)). [para(288(a,1),2568(a,2,2))]. 2570 (x \ (y \ x)) * (x / y) = y \ (y \ x). [hyper(259,a,289,a(flip),b,2569,a),flip(a)]. 2572 R(x,y,z) != u | ((x * y) * z) / (y * z) = u. [para(1401(a,1),1395(a,1))]. 2573 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(58,a,1164,a(flip),b,1689,a),flip(a)]. 2574 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(259,a,488,a(flip),b,2183,a),flip(a)]. 2576 (1 / x) \ (x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x))) = x * (y * T(y \ 1,x)). [hyper(58,a,2245,a,b,2574,a)]. 2579 L(x \ 1,x,y) * (L(x \ 1,x,y) * y) = L(T(x \ 1,y),x,y) * (y / x). [para(20(a,2),2268(a,2,1))]. 2580 L(x / (L(y,z,u) * (y \ x)),x,y) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(656(a,1),2369(a,1,1,1))]. 2581 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(1159(a,2),2573(a,1,2))]. 2582 L(x \ 1,x,y) * (L(x \ 1,x,y) * y) = (y \ (x \ y)) * (y / x). [para(846(a,1),2579(a,2,1))]. 2583 L(x \ 1,x,y) * (L(x \ 1,x,y) * y) = x \ (x \ y). [hyper(259,a,2570,a(flip),b,2582,a),flip(a)]. 2584 L(x \ 1,x,y) * (x \ y) = x \ (x \ y). [para(797(a,1),2583(a,1,2))]. 2585 L(x \ 1,x,x \ y) = L(x \ 1,x,y). [hyper(30,a,797,a,b,2584,a)]. 2586 L(L(x \ 1,y,z),x,x \ u) = L(L(x \ 1,x,u),y,z). [para(2585(a,1),25(a,1,1)),flip(a)]. 2587 L((x \ 1) \ 1,x \ 1,(x \ 1) \ y) = L(x,x \ 1,y). [para(315(a,1),2585(a,2,1))]. 2588 L(x,x \ 1,(x \ 1) \ y) = L(x,x \ 1,y). [para(315(a,1),2587(a,1,1))]. 2589 (x \ (((x \ 1) \ y) * (x \ 1))) * L(x,x \ 1,y) = x \ (((x \ 1) \ y) * ((x \ 1) * x)). [hyper(125,a,2588,a(flip),b,1265,a(flip))]. 2590 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(242,a,2581,a),flip(a)]. 2591 R(x,y * z,R(T(x,y * z),y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). [para(651(a,1),1107(a,1,1,3))]. 2592 x \ ((x * y) * z) = (y * z) * a(x,y,z). [para(761(a,1),2591(a,1,1))]. 2593 x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z). [hyper(259,a,147,a(flip),b,2592,a),flip(a)]. 2594 a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). [hyper(120,a,2592,a,b,xx),flip(a)]. 2595 (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. [para(2592(a,2),243(a,1,2)),flip(b)]. 2596 T(x * y,a(z,x,y)) != u | T(x * y,z \ ((z * x) * y)) = u. [para(2594(a,2),446(a,1,2))]. 2600 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [hyper(216,a,2356,a(flip),b,2249,a(flip)),flip(a)]. 2601 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(5(a,1),2352(a,1,1,1,2,2))]. 2602 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(1685,a,2601,a),flip(a)]. 2603 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(2161(a,1),2602(a,1,1))]. 2604 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5(a,1),2603(a,2,2,1))]. 2605 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(123,a,1983,a,b,2604,a)]. 2606 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(T(x,y) \ 1,z,u). [para(316(a,2),2366(a,2,2,1,1))]. 2607 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(T(x \ 1,y),z,u). [para(2198(a,2),2606(a,2,2,1))]. 2608 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(7(a,1),2409(a,2,2,1,1))]. 2609 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(133,a,2608,a)]. 2610 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(2(a,1),2609(a,1,1,2,1,2)),flip(a)]. 2611 (((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),2610(a,1,1)),flip(a)]. 2612 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(2563(a,1),2564(a,1,2)),flip(a)]. 2613 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(133,a,2612,a)]. 2614 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2613(a,1),1203(a,1,1))]. 2615 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(58,a,251,a(flip),b,2614,a),flip(a)]. 2616 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2615(a,1),900(a,1,1))]. 2617 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(296,a,2616,a),flip(a)]. 2618 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(259,a,11,a,b,2617,a)]. 2619 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(11(a,2),2618(a,2,1,2)),flip(a)]. 2620 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(2619(a,1),74(a,1,1,1))]. 2621 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2620(a,1),1139(a,1,1,1))]. 2622 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(244,a,2621,a)]. 2623 T(K(x,y),z / (y * z)) = K(x,y). [para(200(a,1),2622(a,1,2))]. 2624 T(K(x,y),(z * y) \ z) = K(x,y). [para(726(a,1),2623(a,1,2))]. 2625 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(805(a,1),2600(a,1,2,1))]. 2626 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1204,a,1687,a),flip(a)]. 2627 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(7(a,1),2626(a,1,2,1,2,2)),flip(a)]. 2628 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1161(a,1),2626(a,2,1))]. 2629 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(269,a,2627,a),flip(a)]. 2632 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(1227(a,1),2397(a,1,1)),flip(a)]. 2633 (x * y) * ((((z \ 1) \ 1) \ L(y \ ((z \ 1) \ 1),y,x)) * T(z,z \ 1)) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). [para(1729(a,1),2632(a,1,2))]. 2634 (((x * y) * z) \ 1) \ (((y * z) \ 1) * (x \ 1)) = a(z \ 1,y \ 1,x \ 1). [para(466(a,1),2491(a,1,1))]. 2635 (((x * y) * z) \ 1) \ ((x * (y * z)) \ 1) = a(z \ 1,y \ 1,x \ 1). [para(466(a,1),2634(a,1,2))]. 2636 ((x * (y * z)) / ((x * y) * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). [hyper(1119,a,2635,a)]. 2640 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(697(a,1),1145(a,1,2,1))]. 2641 T(x * L(y,z,u),(y \ x) * L(y,z,u)) = K(y,x) * (x * L(y,z,u)). [para(2466(a,1),1560(a,2,1))]. 2643 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(17(a,2),2299(a,1,2,2,1,1)),flip(a)]. 2644 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(2482,a,2643,a),flip(a)]. 2645 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(2478,a,2643,a)]. 2646 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(805(a,1),2644(a,1,2,1))]. 2647 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(58,a,2240,a,b,2646,a)]. 2648 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),2647(a,1,1,2,1)),flip(a)]. 2649 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(205(a,1),2645(a,1,1,2,1,2)),flip(a)]. 2650 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(262(a,1),2649(a,1,2,1,2))]. 2651 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(544(a,1),2650(a,2,1,2))]. 2652 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(1967(a,1),2650(a,1,2,1,1))]. 2653 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(1967(a,2),2650(a,1,1))]. 2654 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(2205(a,1),2650(a,1,2,1))]. 2655 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),2648(a,1,1,2,1)),flip(a)]. 2656 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(2211(a,1),2651(a,1,2))]. 2657 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(3(a,1),2656(a,2,1,2,2))]. 2658 (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(x \ (x * y),z,u)). [para(285(a,1),2363(a,1,2,1,1))]. 2659 (x \ (y \ x)) * L((x \ (y \ x)) \ 1,z,u) = (y * x) \ (x * L(x \ (y * x),z,u)). [para(288(a,1),2365(a,1,2,1,1))]. 2660 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(89(a,1),2492(a,1,2)),flip(a)]. 2661 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(99(a,1),2493(a,1,1)),flip(a)]. 2662 ((1 / x) * ((1 / x) \ T(y,z))) / u = (1 / u) * T((1 / u) \ (y / u),z). [para(2119(a,1),2535(a,1,1,2))]. 2663 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(5(a,1),2662(a,1,1)),flip(a)]. 2664 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(123,a,2663,a(flip),b,2517,a),flip(a)]. 2666 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(58,a,1859,a(flip),b,2664,a)]. 2667 (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,z * T(y,z))). [para(103(a,1),2547(a,1,2,2))]. 2668 (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(103(a,1),2667(a,2,3,2))]. 2669 (1 / x) \ (x \ (x * (y * T(y \ 1,x)))) = x * (y * T(y \ 1,x)). [para(2574(a,1),2576(a,1,2,2))]. 2670 (1 / x) \ (y * T(y \ 1,x)) = x * (y * T(y \ 1,x)). [para(4(a,1),2669(a,1,2))]. 2671 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [hyper(458,a,2670,a)]. 2673 T(x,x \ 1) * (y * T(y \ 1,x)) = ((1 / x) \ (y * T(y \ 1,x))) * K(z,z \ 1). [para(2670(a,2),1349(a,2,1))]. 2674 R(1 / x,x,K(y,x)) = 1 / x. [para(1599(a,2),2671(a,1,3))]. 2675 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(124,a,2674,a(flip),b,200,a(flip))]. 2677 K(x \ 1,x) * K(y,z) = (z \ 1) * (z * K(y,z)). [para(2675(a,1),1319(a,1,2))]. 2680 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(58,a,2193,a(flip),b,2677,a),flip(a)]. 2690 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(697(a,1),2640(a,1,2))]. 2691 (x * y) \ (x * L(x \ (x * y),z,u)) = x \ ((x / y) * L((x / y) \ x,z,u)). [hyper(58,a,2362,a(flip),b,2658,a),flip(a)]. 2692 (x * y) \ (x * L(x \ (x * y),z,u)) = x \ ((x / y) * L(y,z,u)). [para(73(a,1),2691(a,2,2,2,1))]. 2693 (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). [para(4(a,1),2692(a,1,2,2,1))]. 2695 x * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u). [hyper(125,a,91,a,b,2693,a(flip))]. 2696 (x * y) \ (((x * y) / z) * L(z,y,x)) = ((x * y) * z) \ (x * (y * z)). [para(89(a,1),2693(a,1,2)),flip(a)]. 2697 x \ ((x / y) * L(y,y \ 1,x)) = (x * y) \ (x / (y \ 1)). [para(456(a,1),2693(a,1,2)),flip(a)]. 2701 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). [para(2452(a,1),2696(a,1,2)),flip(a)]. 2702 (x * y) \ ((x * (y * (y \ z))) / (y \ z)) = ((x * y) * (y \ z)) \ (x * z). [para(5(a,1),2701(a,1,2,2)),flip(a)]. 2703 (x * y) \ ((x * (y * T(z,y))) / T(z,y)) = ((x * y) * T(z,y)) \ (x * (z * y)). [para(103(a,1),2701(a,1,2,2)),flip(a)]. 2704 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ (x * 1). [para(2016(a,1),2702(a,2,1))]. 2705 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ x. [hyper(259,a,151,a(flip),b,2704,a),flip(a)]. 2706 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = a(y \ 1,y,x). [hyper(259,a,1064,a(flip),b,2705,a),flip(a)]. 2707 (x * y) \ (x / (y \ 1)) = a(y \ 1,y,x). [para(64(a,1),2706(a,1,2,1))]. 2710 ((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (z * y)) / T(z,y)). [para(103(a,1),2703(a,1,2,1,2)),flip(a)]. 2711 (x * y) \ (y * L(y \ (x * y),z,u)) = y \ ((x \ y) * L((x \ y) \ y,z,u)). [hyper(58,a,2362,a(flip),b,2659,a),flip(a)]. 2712 (x * y) \ (y * L(y \ (x * y),z,u)) = y \ (L(x,z,u) * (x \ y)). [para(664(a,1),2711(a,2,2))]. 2714 (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). [para(660(a,1),2712(a,1,2))]. 2715 (x * y) * T(y \ (L(x,z,u) * (x \ y)),w) = (x * T(x \ L(x,z,u),w)) * y. [para(2714(a,1),2382(a,1,2,1))]. 2716 (x / y) * T((y \ x) \ (L(K(y,x),z,u) * (K(y,x) \ (y \ x))),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(1597(a,1),2715(a,1,1))]. 2717 T(x,x \ 1) * (y * T(y \ 1,x)) = (x \ 1) \ (y * T(y \ 1,x)). [hyper(259,a,1307,a(flip),b,2673,a),flip(a)]. 2718 (x * T(x \ 1,y)) * ((y \ 1) \ 1) = (y \ 1) \ (x * T(x \ 1,y)). [hyper(58,a,1493,a(flip),b,2717,a)]. 2719 ((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))) = R(x,y * T(y \ 1,z),(z \ 1) \ 1). [hyper(184,a,2718,a(flip),b,174,a)]. 2720 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1123,a,2690,a)]. 2724 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(698,a,2720,a)]. 2727 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),2724(a,1,1)),flip(a)]. 2728 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(1387(a,2),2724(a,1,1))]. 2729 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(1407(a,2),2727(a,1,1))]. 2730 ((T(x,y * z) * y) * z) \ ((x * y) * z) = K(y * z,(y * z) \ ((x * y) * z)). [para(99(a,1),1244(a,1,1))]. 2731 T((x * y) * z,y * z) = (T(x,y * z) * y) * z. [hyper(34,a,759,a(flip),b,2730,a)]. 2732 T((x * y) * (y \ z),y * (y \ z)) = (T(x,z) * y) * (y \ z). [para(5(a,1),2731(a,2,1,1,2))]. 2733 T((x * y) * (y \ z),z) = (T(x,z) * y) * (y \ z). [para(5(a,1),2732(a,1,2))]. 2734 (T(x,y) * y) \ T((x * z) * (z \ y),y) = a(T(x,y),z,z \ y). [hyper(120,a,2733,a,b,1042,a)]. 2735 T(x * y,y) \ T((x * z) * (z \ y),y) = a(T(x,y),z,z \ y). [para(730(a,2),2734(a,1,1))]. 2737 L(x,y,z * K(u \ 1,u)) = (K(w \ 1,w) * (z * y)) \ (K(v5 \ 1,v5) * (z * (y * x))). [para(1334(a,2),1739(a,1,2)),flip(a)]. 2738 L(x,y * K(z \ 1,z),u) = (u * y) \ (K(w,w \ 1) * (u * (K(v5 \ 1,v5) * (y * x)))). [hyper(58,a,1902,a(flip),b,1740,a),flip(a)]. 2742 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(1127,a,2434,a),flip(a)]. 2743 (x \ T(y,x \ 1)) * L(x,x \ 1,y) = x \ (((x \ 1) \ y) * ((x \ 1) * x)). [para(709(a,2),2589(a,1,1,2))]. 2744 x \ (((x \ 1) \ y) * ((x \ 1) * x)) = (y / x) * L(x,x \ 1,y). [para(1938(a,1),2743(a,1,1)),flip(a)]. 2745 (x / y) * L(y,y \ 1,x) = y \ (((y \ 1) \ x) * 1). [para(319(a,1),2744(a,1,2,2)),flip(a)]. 2746 (x / y) * L(y,y \ 1,x) = y \ ((y \ 1) \ x). [hyper(259,a,151,a(flip),b,2745,a),flip(a)]. 2748 (x * y) \ (x / (y \ 1)) = x \ (y \ ((y \ 1) \ x)). [para(2746(a,1),2697(a,1,2)),flip(a)]. 2749 x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x). [hyper(58,a,2707,a(flip),b,2748,a),flip(a)]. 2750 (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(33,a,2488,a,b,2749,a)]. 2751 L(x \ 1,x,y) * ((x \ 1) \ y) = x \ ((x \ 1) \ y). [hyper(58,a,2307,a,b,2750,a)]. 2752 L(x \ 1,x,(x \ 1) \ y) = L(x \ 1,x,y). [hyper(30,a,797,a,b,2751,a)]. 2753 L(x \ 1,x,(x \ 1) \ y) \ y = x * y. [para(2752(a,2),798(a,1,1))]. 2754 L((x \ 1) \ y,x,x \ 1) = x * y. [hyper(2348,a,2753,a)]. 2755 x * ((x \ 1) * y) = L(y,x,x \ 1). [para(4(a,1),2754(a,1,1)),flip(a)]. 2756 L(T(x,y \ 1),y,y \ 1) = y * (x * (y \ 1)). [para(17(a,2),2754(a,1,1))]. 2757 L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). [para(512(a,1),2754(a,1,1))]. 2758 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ ((y \ 1) * (y * x))) \ (y \ 1). [para(2754(a,1),2555(a,1,1,2,2)),flip(a)]. 2759 (x * (y \ 1)) * y = L(x,y,y \ 1). [hyper(2000,a,2755,a)]. 2760 x \ L(y,x,x \ 1) = (x \ 1) * y. [hyper(127,a,2755,a)]. 2761 L(x / (y \ 1),y,y \ 1) = x * y. [hyper(269,a,2759,a),flip(a)]. 2762 x * (L(y,x,x \ 1) \ x) = (y * (x \ 1)) \ x. [para(2759(a,1),187(a,1,2,1))]. 2764 x \ y != (x \ 1) * z | L(z,x,x \ 1) = y. [para(2760(a,1),42(a,1)),flip(a)]. 2765 (x \ 1) \ (y * x) = x * (y / (x \ 1)). [hyper(120,a,2761,a(flip),b,637,a)]. 2766 (x * y) / (x \ 1) = x * (y / (x \ 1)). [hyper(58,a,1966,a,b,2765,a)]. 2767 (x * y) \ ((x * y) / (x \ 1)) = L(x,x \ 1,y). [para(2766(a,2),2295(a,1,2))]. 2768 x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). [hyper(125,a,2757,a(flip),b,2328,a(flip))]. 2769 a(x \ 1,x,y) = a(x,x \ 1,y). [hyper(58,a,2331,a(flip),b,2768,a)]. 2770 a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). [hyper(58,a,2152,a(flip),b,2768,a)]. 2771 (x * y) * (x \ 1) = x * (y * (x \ 1)). [hyper(58,a,940,a(flip),b,2756,a)]. 2772 R(x,y,x \ 1) = x. [hyper(562,a,2771,a)]. 2773 (x * (y * (x \ 1))) * L((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2771(a,1),1783(a,1,1))]. 2774 L(x,y,x \ 1) = x. [hyper(2515,a,2772,a)]. 2775 L(x,y,R(x,z,u) \ 1) = x. [hyper(144,a,2774,a(flip))]. 2776 ((x \ 1) * y) * x = (x \ 1) * (y * x). [hyper(125,a,2774,a(flip),b,13,a(flip))]. 2777 L(x,y,L(x \ 1,z,u)) = x. [para(2511(a,1),2775(a,1,3))]. 2778 L(x * ((x \ 1) * y),z,u) / ((x \ 1) * y) = ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u). [para(2776(a,1),941(a,2,2,1))]. 2779 (((x \ 1) * y) \ 1) * L((((x \ 1) * y) \ 1) \ x,z,u) = ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u). [para(2776(a,1),2140(a,2,2,1))]. 2780 ((x / y) * (x \ 1)) \ x = (x * x) * (x \ y). [hyper(58,a,2498,a(flip),b,2762,a),flip(a)]. 2781 x \ ((x / (x \ 1)) * y) = (x * x) * (x \ y). [hyper(58,a,654,a(flip),b,2780,a)]. 2782 x \ ((x * (1 \ x)) * y) = (x * x) * (x \ y). [para(287(a,1),2781(a,1,2,1))]. 2783 x \ ((x * x) * y) = (x * x) * (x \ y). [para(60(a,1),2782(a,1,2,1,2))]. 2784 (x * y) * a(x,x,y) = (x * x) * (x \ y). [hyper(58,a,2592,a(flip),b,2783,a)]. 2785 a(x,x,x \ y) = a(x,x,y). [hyper(29,a,1042,a,b,2784,a)]. 2786 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ L(x,y,y \ 1)) \ (y \ 1). [para(637(a,1),2758(a,2,1,2))]. 2787 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(2021(a,1),2786(a,2,1))]. 2788 T((x * y) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(2761(a,1),2787(a,1,1,1))]. 2789 T(x \ (x / y),y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(285(a,1),2788(a,1,1))]. 2790 (x \ (x / y)) \ (y \ 1) = a(x,y,y \ 1). [hyper(347,a,2789,a)]. 2791 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(w \ 1,w)). [hyper(259,a,538,a(flip),b,2737,a)]. 2792 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(395,a,2791,a),flip(a)]. 2794 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(355(a,2),2792(a,1,3))]. 2795 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(1293(a,1),2792(a,1,3)),flip(a)]. 2796 L(x,y,a(z,u,z) * w) = L(x,y,w). [para(686(a,1),2794(a,1,3,1))]. 2797 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(1387(a,2),2796(a,1,3))]. 2798 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(1405(a,2),2796(a,1,3))]. 2799 L(L(x,y,K(z,u)),w,R(a(v5,v6,v5),v7,v8)) = L(x,y,K(u * z,u)). [hyper(259,a,1148,a,b,2798,a)]. 2800 L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. [para(2799(a,1),399(a,1)),flip(b)]. 2801 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(1314(a,1),2738(a,2,2))]. 2802 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(259,a,13,a,b,2801,a),flip(a)]. 2803 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1293(a,1),2802(a,1,2)),flip(a)]. 2804 L(x,T(y,y \ 1),z) = L(x,y,z). [para(104(a,2),2803(a,1,2))]. 2805 L(x,T(1 / y,z),u) = L(x,T(y \ 1,z),u). [para(510(a,1),2803(a,1,2)),flip(a)]. 2806 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [hyper(125,a,2804,a(flip),b,13,a(flip))]. 2807 L(x,T(y \ 1,z),(u \ 1) \ 1) = L(x,T(1 / y,z),u). [hyper(259,a,2795,a,b,2805,a)]. 2808 (x * T(1 / y,z)) \ (x * (T(1 / y,z) * u)) = L(u,T(y \ 1,z),(x \ 1) \ 1). [hyper(259,a,13,a(flip),b,2807,a)]. 2809 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(2806(a,1),38(a,1)),flip(a)]. 2811 R(R(x,y,z),y * z,K(u,u \ 1)) = ((x * y) * ((z \ 1) \ 1)) / (y * ((z \ 1) \ 1)). [para(1353(a,1),2074(a,1,2)),flip(a)]. 2812 R(R(x,y,z),y * z,K(u,u \ 1)) = R(x,y,(z \ 1) \ 1). [hyper(259,a,15,a,b,2811,a),flip(a)]. 2813 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [hyper(124,a,411,a(flip),b,2811,a(flip))]. 2814 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(413,a,2812,a),flip(a)]. 2815 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(2812(a,1),413(a,1))]. 2817 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(2813(a,1),39(a,1))]. 2818 K(x \ 1,x) * R(K(y \ 1,y) \ z,u,w) = (v5 \ 1) * (v5 * R(v5 \ ((v5 \ 1) \ z),u,w)). [para(337(a,2),2291(a,1,2,1,1))]. 2819 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(2387(a,1),2543(a,1,1,2))]. 2820 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(259,a,1822,a(flip),b,2819,a),flip(a)]. 2822 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(2755(a,1),2778(a,1,1,1)),flip(a)]. 2823 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = ((u \ 1) * R((u \ 1) \ z,w,v5)) * u. [hyper(259,a,2410,a(flip),b,2818,a),flip(a)]. 2825 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(2139(a,1),2823(a,2,1))]. 2826 K(x \ 1,x) * R(K(y,y \ 1) * (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(1299(a,1),2825(a,1,2,1))]. 2827 K(x \ 1,x) * R(y * T(z,z \ 1),u,w) = (z \ R(z * y,u,w)) * z. [para(1354(a,1),2826(a,1,2,1))]. 2828 R(K(x \ 1,x) * (y * T(z,z \ 1)),u,w) = (z \ R(z * y,u,w)) * z. [hyper(58,a,2504,a,b,2827,a)]. 2829 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(1358(a,1),2828(a,1,1)),flip(a)]. 2830 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(5(a,1),2829(a,1,1,2,1)),flip(a)]. 2831 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(624(a,1),2830(a,2,1,2))]. 2832 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(2830(a,2),1921(a,1,1))]. 2833 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(2831(a,1),1919(a,1,1))]. 2834 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(238,a,2832,a),flip(a)]. 2835 T(a(x,y,z),(x * y) * z) \ (a(x,y,z) * (x * (y * z))) = T(x * (y * z),(x * y) * z). [para(754(a,1),1173(a,1,2))]. 2837 (x * (K(y,y \ 1) * (z * u))) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(487(a,1),1744(a,1,1,2))]. 2838 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(33,a,2808,a,b,1874,a),flip(a)]. 2840 K(x \ 1,x) * (T(1 / y,z) * u) = T(y \ 1,z) * u. [hyper(1313,a,2838,a)]. 2842 T(x \ 1,y) * x = K(z \ 1,z) * K(x \ 1,y). [para(1598(a,1),2840(a,1,2)),flip(a)]. 2843 K(x \ 1,x) * (y * K(z \ 1,u)) = y * (T(z \ 1,u) * z). [para(2842(a,2),1282(a,2,2))]. 2844 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(2843(a,1),1715(a,1,2,2))]. 2846 (x * (K(y,y \ 1) * (z * u))) \ (K(w,w \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(487(a,1),2837(a,1,2))]. 2847 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(w,w \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(58,a,1756,a(flip),b,2846,a)]. 2850 a(x,K(y,y \ 1) * z,u) = (((x * (z * u)) \ ((x * z) * u)) * K(w \ 1,w)) * K(v5,v5 \ 1). [para(1745(a,1),2847(a,1,1)),flip(a)]. 2851 a(x,K(y,y \ 1) * z,u) = (a(x,z,u) * K(w \ 1,w)) * K(v5,v5 \ 1). [para(9(a,2),2850(a,2,1,1))]. 2852 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(259,a,1301,a(flip),b,2851,a),flip(a)]. 2853 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(890(a,1),2852(a,1,2))]. 2855 L(a(x,y,(x * y) \ z) \ 1,a(x,y,(x * y) \ z),z) = z \ (x * (y * ((x * y) \ z))). [para(79(a,1),1764(a,1,2))]. 2856 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(2142(a,1),2652(a,2,1))]. 2857 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(58,a,2856,a(flip),b,2653,a),flip(a)]. 2858 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(2142(a,1),2857(a,1,1)),flip(a)]. 2859 ((x \ 1) * y) * L((((y \ 1) * x) \ 1) \ y,z,u) = ((y \ 1) * x) \ L((y \ 1) * (x * y),z,u). [para(517(a,1),2779(a,1,1))]. 2860 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = ((y \ 1) * x) * L(((y \ 1) * x) \ x,z,u). [para(517(a,1),2859(a,1,2,1,1)),flip(a)]. 2861 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [hyper(259,a,1784,a(flip),b,2860,a),flip(a)]. 2863 (x \ 1) * (y * L(y \ ((x \ 1) \ y),z,u)) = L(L(x,y,y \ 1),z,u) / ((y \ 1) * x). [hyper(58,a,2822,a(flip),b,2861,a),flip(a)]. 2864 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). [para(89(a,1),1880(a,1,2,1,1))]. 2865 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * ((y * z) * T((y * z) \ y,u)). [hyper(1879,a,2864,a),flip(a)]. 2866 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). [para(1227(a,1),2865(a,2,2))]. 2867 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * (z * T(z \ 1,u))). [para(1411(a,1),2866(a,1,2))]. 2868 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(1411(a,1),2867(a,2,2,2))]. 2869 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(540,a,2868,a)]. 2870 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(250(a,1),2868(a,1,2,1,1))]. 2871 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(315(a,1),2869(a,1,1,1)),flip(a)]. 2873 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(259,a,483,a(flip),b,2415,a),flip(a)]. 2874 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(215(a,1),2873(a,2,2))]. 2875 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2767(a,1),2773(a,1,2,1))]. 2876 x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [hyper(2083,a,2875,a)]. 2877 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * L(x,z,u))). [para(482(a,1),2876(a,1,2)),flip(a)]. 2878 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * (x \ L(x,z,u))). [para(764(a,1),2877(a,2,2,2))]. 2879 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(2142(a,1),2878(a,1,2))]. 2881 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),2051(a,1,1,2))]. 2882 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(20(a,2),2881(a,1,1))]. 2883 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(636(a,1),2882(a,1,1))]. 2884 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),2883(a,1,2,2,2))]. 2885 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(20(a,2),2884(a,1,2,2))]. 2886 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(636(a,1),2885(a,1,2,2))]. 2887 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(4(a,1),2886(a,1,2))]. 2889 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(2887(a,1),2263(a,1,1)),flip(a)]. 2890 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(178,a,2889,a)]. 2891 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(58,a,1755,a(flip),b,2890,a)]. 2892 (x * (y \ z)) * L(L(T(y,x * T(z,y)),y \ z,x),u,w) = L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)). [para(20(a,2),1362(a,1,2,1))]. 2893 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(99(a,1),2353(a,1,1,1,2,2)),flip(a)]. 2894 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(259,a,1161,a(flip),b,2893,a),flip(a)]. 2895 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(259,a,2628,a(flip),b,2894,a),flip(a)]. 2896 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(1161(a,1),2895(a,1,1))]. 2897 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(2377(a,1),2895(a,2,1))]. 2898 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(2161(a,1),2897(a,1,1))]. 2899 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(30,a,99,a,b,2898,a)]. 2900 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(315(a,1),2899(a,1,1,2)),flip(a)]. 2901 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2376(a,1),2896(a,2,1))]. 2902 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(30,a,99,a,b,2901,a),flip(a)]. 2903 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(2373,a,2902,a),flip(a)]. 2904 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(2160(a,1),2903(a,1,1))]. 2905 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(259,a,2374,a(flip),b,2904,a),flip(a)]. 2906 (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),2364(a,2,2,1,1))]. 2907 (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(1784(a,1),2906(a,1,2))]. 2908 (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),2907(a,1,2,2,2,1,2))]. 2909 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1219(a,1),2908(a,1,2,2))]. 2910 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(542,a,2909,a),flip(a)]. 2912 (((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),2611(a,2,2,1,1))]. 2913 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2355(a,1),2912(a,1,1))]. 2914 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2174(a,1),2913(a,1,1,1))]. 2915 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(565,a,2914,a),flip(a)]. 2916 (x * y) * ((z \ L(y \ ((z \ 1) \ 1),y,x)) * z) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). [para(1738(a,1),2633(a,1,2))]. 2917 (x * y) * L((z \ (y \ ((z \ 1) \ 1))) * z,y,x) = (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1). [para(1206(a,2),2916(a,1,2))]. 2918 (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1) = x * (y * ((z \ (y \ ((z \ 1) \ 1))) * z)). [hyper(242,a,2917,a),flip(a)]. 2919 (x * T(x \ 1,y)) * ((y \ 1) \ 1) = x * ((y \ (x \ ((y \ 1) \ 1))) * y). [hyper(1331,a,2918,a(flip))]. 2920 x * ((y \ (x \ ((y \ 1) \ 1))) * y) = (y \ 1) \ (x * T(x \ 1,y)). [hyper(58,a,2718,a(flip),b,2919,a),flip(a)]. 2921 (x * (y * T(y \ 1,z))) * ((z \ 1) \ 1) = x * ((z \ 1) \ (y * T(y \ 1,z))). [para(2920(a,1),2918(a,2,2))]. 2922 ((x * (y * T(y \ 1,z))) * ((z \ 1) \ 1)) / ((z \ 1) \ (y * T(y \ 1,z))) = R(x,y * T(y \ 1,z),z). [hyper(259,a,2814,a(flip),b,2719,a),flip(a)]. 2923 (x * ((y \ 1) \ (z * T(z \ 1,y)))) / ((y \ 1) \ (z * T(z \ 1,y))) = R(x,z * T(z \ 1,y),y). [para(2921(a,1),2922(a,1,1))]. 2924 R(x,y * T(y \ 1,z),z) = x. [hyper(270,a,2923,a)]. 2926 R(x,K(y,z),z) = x. [para(1599(a,2),2924(a,1,2))]. 2927 R(x,K(y,z),y) = x. [para(1958(a,2),2924(a,1,2))]. 2928 (x * K(y,z)) * z = x * (z * K(y,z)). [para(2926(a,1),1491(a,1,1)),flip(a)]. 2929 R(x,R(K(y,z),u,w),y) = x. [para(2900(a,1),2927(a,1,2))]. 2930 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [hyper(124,a,2929,a(flip),b,15,a(flip)),flip(a)]. 2931 (x * y) / (y * K(z,y)) = x / K(z,y). [hyper(630,a,2928,a)]. 2932 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(123,a,1539,a(flip),b,2928,a),flip(a)]. 2933 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(30,a,2680,a(flip),b,2928,a),flip(a)]. 2934 (x * K(y,z)) * z = x * T(z,y \ z). [para(1499(a,2),2928(a,2,2))]. 2936 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(2933(a,1),542(a,1,2,2))]. 2937 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(5(a,1),2932(a,1,1,2,1))]. 2938 (x * y) * K(z,y) = x * T(y,z \ y). [hyper(30,a,2181,a,b,2934,a),flip(a)]. 2940 (x * y) * K(z,y) = x * (y * K(z,y)). [para(1499(a,1),2938(a,2,2))]. 2941 R(x,y,K(z,y)) = x. [hyper(562,a,2940,a)]. 2942 L(K(x,y),y,z) = K(x,y). [hyper(540,a,2940,a)]. 2943 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(269,a,2940,a),flip(a)]. 2944 (x * ((y * z) / y)) / K(y,z) = x * z. [hyper(123,a,1538,a,b,2940,a)]. 2945 a(x,y,K(z,y)) = 1. [hyper(119,a,2940,a(flip),b,76,a),flip(a)]. 2946 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(1511(a,1),2940(a,2,2))]. 2947 R(x,y,K(y,z)) = x. [para(1445(a,1),2941(a,1,3))]. 2948 R(x,y * z,K(z,y)) = x. [para(1474(a,1),2941(a,1,3))]. 2950 R(x,y,K(y \ 1,z)) = x. [para(1955(a,2),2941(a,1,3))]. 2951 a(x,y,K(y,z)) = 1. [para(1445(a,1),2945(a,1,3))]. 2952 a(x,y,K(z,y * z)) = 1. [para(1474(a,2),2945(a,1,3))]. 2953 a(x,y \ 1,K(y,z)) = 1. [para(1951(a,1),2945(a,1,3))]. 2954 (x * y) * K(y,z) = x * T(y,z). [hyper(124,a,2947,a(flip),b,1424,a),flip(a)]. 2955 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(2947(a,1),2874(a,1,1,1))]. 2956 L(K(x,y),x,z) = K(x,y). [hyper(47,a,2951,a)]. 2957 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(2107,a,2942,a)]. 2958 K(x \ 1,y \ z) = K(x,z \ y). [hyper(58,a,2104,a(flip),b,2942,a)]. 2959 (x * (y * z)) * K(z,y) = x * (z * y). [para(2948(a,1),564(a,1,1)),flip(a)]. 2960 L(K(x,y * x),y,z) = K(x,y * x). [hyper(47,a,2952,a)]. 2961 L(K(x,y),x \ 1,z) = K(x,y). [hyper(47,a,2953,a)]. 2962 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(58,a,2660,a(flip),b,2956,a)]. 2964 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(2956(a,1),24(a,1,1)),flip(a)]. 2966 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(2956(a,1),2073(a,1,2,2)),flip(a)]. 2967 (x * K(y,z)) / T(y,z) = x / y. [hyper(630,a,2954,a)]. 2969 x \ (y * K(x \ y,z)) = T(x \ y,z). [hyper(627,a,2954,a)]. 2970 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(584,a,2954,a)]. 2971 x * T(x \ y,z) = y * K(x \ y,z). [hyper(578,a,2954,a),flip(a)]. 2972 (x / y) * T(y,z) = x * K(y,z). [hyper(269,a,2954,a),flip(a)]. 2973 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(127,a,2954,a)]. 2974 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(120,a,7,a(flip),b,2954,a)]. 2976 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(2954(a,1),13(a,2,2,2)),flip(a)]. 2977 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(2954(a,2),38(a,1))]. 2978 T(x,y) * K(y,z) = (y \ x) * T(y,z). [para(709(a,2),2954(a,1,1))]. 2981 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(1412(a,2),2954(a,1,1)),flip(a)]. 2982 (x * (y \ 1)) * K(z,y) = x * T(y \ 1,z). [para(1955(a,1),2954(a,1,2))]. 2983 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(2954(a,1),2928(a,1,1)),flip(a)]. 2984 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(2009,a,2957,a)]. 2985 K(x \ y,z) = K(z,y \ x). [hyper(1965,a,2957,a)]. 2987 K(x,((y * z) \ y) \ 1) = K(x,z). [para(4(a,1),2957(a,2,2))]. 2988 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(9(a,2),2957(a,1,2,1)),flip(a)]. 2989 K(x,y \ z) != u | K(z \ y,x) = u. [para(2957(a,1),1965(a,1))]. 2990 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(2957(a,1),2899(a,1,1)),flip(a)]. 2991 K(x,y \ (y / z)) = K(z,x). [hyper(1842,a,2985,a),flip(a)]. 2992 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(259,a,1955,a,b,2985,a)]. 2993 (x \ y) * K(z,y \ x) = T(x \ y,z). [hyper(125,a,2985,a(flip),b,1408,a(flip))]. 2994 K(x,y \ z) * (z \ y) = T(z \ y,x). [hyper(124,a,2985,a(flip),b,1410,a(flip))]. 2995 K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x). [para(13(a,2),2985(a,1,1)),flip(a)]. 2996 K(x \ (x / y),z) = K(z,y). [para(73(a,1),2985(a,2,2))]. 2997 T(x * K(x,y \ z),z \ y) = x. [para(2985(a,1),1507(a,1,1,2))]. 2998 K(x,y \ (y / z)) != u | K(z,x) = u. [para(2985(a,1),1842(a,1))]. 2999 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(2985(a,2),1990(a,1))]. 3000 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [para(2985(a,2),2797(a,1,3))]. 3001 R(x,y \ z,K(u,z \ y)) = x. [para(2985(a,1),2947(a,1,3))]. 3002 K(x,L(x,y,z) / u) = K(u,x). [hyper(58,a,2469,a(flip),b,2991,a)]. 3003 K(L(x \ 1,x,y),z) = K(z,x). [para(450(a,1),2991(a,1,2)),flip(a)]. 3004 K(x / y,z) = K(z,y / x). [para(751(a,1),2991(a,1,2)),flip(a)]. 3005 K(x,y / (z * y)) = K(z,x). [para(789(a,2),2991(a,1,2))]. 3006 K(x \ (x / y),z) = K(y \ 1,z). [hyper(259,a,1955,a,b,2996,a),flip(a)]. 3009 K(x,(y / z) \ 1) = K(x,z / y). [hyper(1994,a,3004,a)]. 3011 K((x \ 1) / y,z) = K(x \ (y \ 1),z). [hyper(259,a,1956,a,b,3004,a),flip(a)]. 3012 K((x / y) \ 1,z) = K(y / x,z). [hyper(259,a,1955,a,b,3004,a)]. 3013 K(x / y,z) * x = y * T(y \ x,z). [hyper(124,a,3004,a,b,2519,a)]. 3016 K(x,y / (z * y)) = K(x,z \ 1). [hyper(259,a,1951,a,b,3005,a),flip(a)]. 3017 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(3001(a,1),554(a,1,1))]. 3018 K(x / L(y,z,u),y) = K(x,y). [hyper(58,a,3004,a,b,3002,a)]. 3019 K(x * L(y,z,u),y) = K(x,y). [hyper(58,a,3005,a(flip),b,3002,a),flip(a)]. 3020 L(x \ 1,x,y) * K(z,x) = L(T(x \ 1,z),x,y). [hyper(125,a,3003,a(flip),b,1419,a)]. 3021 K(x,y) * L(y \ 1,y,z) = L(T(y \ 1,x),y,z). [hyper(124,a,3003,a(flip),b,1430,a)]. 3022 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(259,a,1406,a,b,3018,a),flip(a)]. 3024 K(x * L(y,z,u),y) = K(y * x,y). [hyper(259,a,1403,a,b,3019,a),flip(a)]. 3026 K(x,y) * K(y,x) = 1. [hyper(32,a,2192,a(flip),b,2967,a),flip(a)]. 3027 K(x,y) \ 1 = K(y,x). [hyper(323,a,3026,a)]. 3028 1 / K(x,y) = K(y,x). [hyper(133,a,3026,a)]. 3029 x * (K(y,z) * K(z,y)) = x. [hyper(125,a,3026,a,b,61,a)]. 3031 K(x,y) \ 1 != z | K(y,x) = z. [para(3026(a,1),243(a,1,2)),flip(b)]. 3032 1 / K(x,y) != z | K(y,x) = z. [para(3026(a,1),268(a,1,1))]. 3034 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(259,a,2956,a,b,3027,a)]. 3035 (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). [hyper(125,a,3027,a(flip),b,512,a),flip(a)]. 3036 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(124,a,3027,a(flip),b,511,a),flip(a)]. 3038 (K(x,y) * z) \ 1 = (1 / z) * K(y,x). [para(3027(a,1),111(a,1,2)),flip(a)]. 3039 (K(x,y) * (z \ 1)) \ 1 = z * K(y,x). [para(3027(a,1),284(a,2,2))]. 3040 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [para(3027(a,1),528(a,1,2)),flip(a)]. 3043 T(T(x,K(y,z)),K(z,y)) = x. [para(3027(a,1),1924(a,1,1,2))]. 3044 K(K(x,y),z) = K(z,K(y,x)). [para(3027(a,1),1951(a,1,2)),flip(a)]. 3045 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(3027(a,1),1927(a,1,2))]. 3047 (K(x,y) * z) / K(x,y) = T(z,K(y,x)). [para(3027(a,1),1931(a,1,2)),flip(a)]. 3048 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [para(3027(a,1),1932(a,1,2))]. 3049 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(3027(a,1),1937(a,1,1,2))]. 3050 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(3027(a,1),1943(a,1,2))]. 3051 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(3027(a,1),1965(a,1,2))]. 3052 T(T(x,K(y,z)),K(z,y)) != u | x = u. [para(3027(a,1),1979(a,1,2))]. 3053 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3027(a,1),1988(a,1,1))]. 3054 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(3027(a,1),2197(a,1,1,1))]. 3055 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(3027(a,1),2869(a,1,1,1)),flip(a)]. 3056 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(2871(a,1),3027(a,1,1)),flip(a)]. 3057 K(x,y) != 1 / z | K(y,x) = z. [para(3028(a,1),40(a,1))]. 3059 T(T(x,K(y,z)),u) * K(z,y) = K(z,y) * T(x,u). [para(3043(a,1),213(a,1,2,1)),flip(a)]. 3060 L(K(x,y),x,z) != u | K(x,y) = u. [para(3034(a,2),3031(a,1))]. 3062 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(2970(a,1),2605(a,1,2))]. 3063 (x * T(y,z)) / y = x * K(y,z). [hyper(58,a,2178,a,b,2972,a)]. 3064 (x * K(y,z)) * y = x * T(y,z). [hyper(124,a,2972,a(flip),b,2178,a)]. 3065 T(x * K(x \ y,x),z) = (y * K(x,z)) / (y / x). [hyper(123,a,2972,a(flip),b,1667,a),flip(a)]. 3066 (x * K(y,z)) \ (x * T(y,z)) = y. [para(2972(a,1),2179(a,1,1))]. 3067 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(2973(a,1),227(a,1,2))]. 3068 K(x,1 / (y \ x)) = K(x,y / x). [hyper(259,a,1477,a,b,2984,a),flip(a)]. 3069 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(13(a,2),2984(a,1,2,2)),flip(a)]. 3070 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(259,a,2942,a,b,2987,a)]. 3071 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(91(a,2),2992(a,1,1,1))]. 3072 K(x \ y,z) != u | K(z,y \ x) = u. [para(2992(a,1),1988(a,1))]. 3073 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(2992(a,1),2254(a,1,2))]. 3074 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(2992(a,1),2869(a,1,1)),flip(a)]. 3075 T(T(x,y \ z),z \ y) = x. [para(1409(a,2),2997(a,1,1))]. 3076 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(1953,a,3075,a),flip(a)]. 3077 T(x,y \ z) * (z \ y) = (z \ y) * x. [hyper(125,a,3075,a(flip),b,106,a),flip(a)]. 3078 T(x,y \ z) != u | T(u,z \ y) = x. [para(3075(a,1),44(a,1)),flip(a)]. 3079 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(3075(a,1),1979(a,1,1))]. 3080 K(x \ (x / L(y,z,u)),w) = L(K(y \ 1,w),z,u). [hyper(259,a,2869,a,b,3006,a),flip(a)]. 3082 K(x / (y * x),z) = K(y \ 1,z). [para(789(a,2),3006(a,1,1))]. 3083 K(x \ (x / y),z) != u | K(z,y) = u. [para(3006(a,2),1988(a,1))]. 3084 K(x,1 / (y / z)) = K(x,z / y). [hyper(2009,a,3009,a)]. 3085 K(x,y / z) != u | K(z / y,x) = u. [para(3009(a,1),1965(a,1))]. 3086 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(3009(a,1),2899(a,1,1)),flip(a)]. 3087 K(1 / (x / y),z) = K(y / x,z). [hyper(1847,a,3012,a)]. 3088 K((x / y) \ 1,x) = K(x \ y,x). [hyper(259,a,1533,a(flip),b,3012,a),flip(a)]. 3089 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(58,a,2523,a,b,3012,a)]. 3090 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(58,a,2666,a(flip),b,3012,a),flip(a)]. 3091 K(x / y,z) != u | K(z,y / x) = u. [para(3012(a,1),1988(a,1))]. 3092 K(x,y / (z * y)) != u | K(z,x) = u. [para(3016(a,2),1965(a,1))]. 3093 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(136,a,3054,a)]. 3096 (x * (y * z)) \ (x * (y * T(z,u))) != w | K(L(z,y,x),u) = w. [para(2660(a,1),3060(a,1))]. 3097 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [hyper(124,a,2940,a(flip),b,3063,a)]. 3098 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [hyper(124,a,2933,a(flip),b,3063,a)]. 3099 L(x \ 1,x,y * T(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [hyper(120,a,3063,a(flip),b,422,a),flip(a)]. 3100 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(3063(a,1),105(a,1,1))]. 3101 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(3063(a,1),224(a,1,1)),flip(b)]. 3103 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y * T(x,z)). [para(3063(a,1),603(a,1,3))]. 3104 (x * K(y,z)) / y = (x / y) * K(y,z). [para(2972(a,1),3063(a,1,1))]. 3105 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(30,a,2234,a,b,3064,a),flip(a)]. 3106 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(30,a,2229,a,b,3064,a)]. 3111 L(x,K(x,y),z) = x. [hyper(58,a,1438,a(flip),b,3066,a)]. 3114 L(x,K(y,x),z) = x. [para(1447(a,1),3111(a,1,2))]. 3116 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(3114(a,1),25(a,1,1)),flip(a)]. 3118 T(x,(y * z) \ y) = T(x,z \ 1). [para(4(a,1),3076(a,1,2,1)),flip(a)]. 3120 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(316(a,2),3076(a,1,2,1))]. 3122 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(3076(a,1),1719(a,1,2))]. 3123 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3082(a,1),1563(a,1,2)),flip(a)]. 3124 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(3082(a,2),1847(a,1))]. 3126 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(58,a,2007,a(flip),b,3118,a)]. 3127 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(575(a,2),3118(a,1,2))]. 3128 T(x,(y / z) \ 1) = T(x,z / y). [para(769(a,1),3118(a,1,2)),flip(a)]. 3129 T(x,(y \ z) / z) = T(x,y \ 1). [para(806(a,2),3118(a,1,2))]. 3130 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(259,a,995,a,b,3129,a)]. 3131 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(1955(a,2),2989(a,1))]. 3132 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(418(a,1),3022(a,1,1)),flip(a)]. 3133 K(x * (1 / y),y) = K(y \ x,y). [para(451(a,1),3022(a,1,1))]. 3134 K(x * (y \ 1),y) = K(y \ x,y). [para(453(a,1),3022(a,1,1))]. 3135 K(x * (1 / y),y) = 1 / K(y,y \ x). [hyper(259,a,3028,a,b,3133,a),flip(a)]. 3136 x * K(x * (y \ 1),y) = (y \ x) * y. [hyper(125,a,3134,a,b,83,a)]. 3137 K(x / (y \ 1),y) = K(y * x,y). [para(456(a,1),3024(a,1,1))]. 3138 K(x / (y \ 1),y) = K(x * y,y). [hyper(259,a,1535,a,b,3137,a),flip(a)]. 3140 T(x,K(y,z)) != u | (K(z,y) * x) / K(z,y) = u. [para(204(a,1),3052(a,1,1))]. 3141 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(708(a,1),3052(a,1,1))]. 3142 K(a(x,y,z),u) != w | K(u,((x * y) * z) \ (x * (y * z))) = w. [para(9(a,2),3072(a,1,1))]. 3143 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(1951(a,2),3072(a,1))]. 3144 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(1951(a,2),3091(a,1))]. 3145 K((x / (y * x)) \ 1,z) != u | K(y,z) = u. [para(1955(a,2),3092(a,1))]. 3146 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(3116(a,1),539(a,1,2,2)),flip(a)]. 3147 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,3026,a(flip),b,2943,a)]. 3148 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(3147(a,1),1634(a,2,1)),flip(a)]. 3149 K(x,y) * ((z * x) / z) = T(x,y) * K(z,x). [hyper(124,a,1412,a,b,2944,a),flip(a)]. 3150 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(124,a,5,a(flip),b,2944,a)]. 3151 (x * (y * z)) \ (x * (z * y)) = K(z,y). [hyper(127,a,2959,a)]. 3152 (x * (y * z)) / T(y,z) = (x * (z * y)) / y. [hyper(123,a,2959,a(flip),b,2972,a)]. 3153 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(2959(a,1),38(a,1)),flip(a)]. 3154 ((x * y) * z) * K(z,y) = R(x,y,z) * (z * y). [para(99(a,1),2959(a,1,1))]. 3155 T(x \ y,z) \ (y * K(x \ y,z)) = T(x,y * K(x \ y,z)). [para(2969(a,1),316(a,2,1)),flip(a)]. 3157 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(2049,a,2971,a)]. 3158 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [hyper(124,a,2971,a(flip),b,1911,a(flip))]. 3159 x * T(x \ y,z) != y * u | K(x \ y,z) = u. [para(2971(a,2),38(a,1))]. 3160 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(259,a,2993,a,b,2994,a),flip(a)]. 3161 K(x \ (y \ 1),y) != z | K(y \ (x \ 1),y) = z. [para(3011(a,1),1584(a,1))]. 3162 K(x / y,z) * x = x * K(y \ x,z). [hyper(259,a,2971,a(flip),b,3013,a),flip(a)]. 3163 T(K(x / y,z),x) = K(y \ x,z). [hyper(216,a,3013,a,b,2971,a(flip))]. 3164 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(70(a,1),3013(a,1,1,1)),flip(a)]. 3165 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(58,a,1657,a(flip),b,3163,a)]. 3166 K((x \ y) \ y,z) = T(K(x,z),y). [para(70(a,1),3163(a,1,1,1)),flip(a)]. 3168 K(T(x,x \ y),z) = T(K(x,z),y). [hyper(1846,a,3166,a)]. 3169 K(T(x,y),z) = T(K(x,z),y). [hyper(1845,a,3166,a)]. 3172 x * K(T(y,x),z) = K(y,z) * x. [hyper(125,a,3169,a,b,17,a(flip))]. 3173 K(x,T(y,z)) * T(K(y,x),z) = 1. [hyper(125,a,3169,a(flip),b,3027,a)]. 3175 T(K(x,y),K(x,z)) = K(x,y). [para(1183(a,1),3169(a,1,1)),flip(a)]. 3176 T(K(x,y),K(z,x)) = K(x,y). [para(1448(a,1),3169(a,1,1)),flip(a)]. 3177 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2197(a,2),3169(a,1,1))]. 3178 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(2199(a,2),3169(a,1,1))]. 3179 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(3175(a,1),239(a,1,2))]. 3180 T(K(x * y,z),K(x,y)) = K(x * y,z). [para(1534(a,1),3175(a,1,2))]. 3181 T(K(x,y),K(y,z)) = K(x,y). [hyper(49,a,3176,a)]. 3182 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(125,a,3176,a(flip),b,17,a(flip)),flip(a)]. 3183 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(3176(a,1),3052(a,1,1))]. 3184 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(3181(a,1),214(a,1,2,1)),flip(a)]. 3185 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(3181(a,1),215(a,1,2,1)),flip(a)]. 3186 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(3181(a,1),434(a,1,2,1))]. 3187 K(x / y,z) * y = y * K(y \ x,z). [para(105(a,1),3172(a,1,2,1)),flip(a)]. 3188 K(x * y,z) * x = x * K(y * x,z). [para(708(a,1),3172(a,1,2,1)),flip(a)]. 3189 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(2005(a,1),3172(a,1,2,1)),flip(a)]. 3190 K(x,T(y,z)) = T(K(x,y),z). [hyper(30,a,3093,a,b,3173,a),flip(a)]. 3191 K(T(x,y),z) = K(x,T(z,y)). [hyper(259,a,3169,a,b,3190,a)]. 3192 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(259,a,3166,a,b,3190,a)]. 3193 K(x,T(y,K(x,z))) = K(x,y). [hyper(259,a,3175,a(flip),b,3190,a),flip(a)]. 3194 K(x / y,T(z,x)) = K(y \ x,z). [hyper(259,a,3163,a(flip),b,3190,a),flip(a)]. 3195 x * K(y,T(z,x)) = K(y,z) * x. [hyper(125,a,3190,a,b,17,a(flip))]. 3196 K(x,T(y,z)) / z = z \ K(x,y). [hyper(123,a,3190,a,b,709,a(flip))]. 3197 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(58,a,1716,a,b,3190,a)]. 3198 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [hyper(58,a,2201,a(flip),b,3190,a)]. 3199 T(K(x,y / z),y) = K(x,z \ y). [hyper(58,a,1705,a(flip),b,3190,a),flip(a)]. 3201 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(3190(a,2),239(a,1,2))]. 3202 K(x,R(T(K(x,y),z),u,w)) = 1. [para(3190(a,1),1210(a,1,2,1))]. 3203 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(3190(a,2),646(a,1,2,2))]. 3204 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(3190(a,2),1066(a,1,1))]. 3205 K(x / y,T(z,u)) = K(z,T(y / x,u)). [hyper(3085,a,3191,a)]. 3207 K(x \ y,T(z,u)) = K(z,T(y \ x,u)). [hyper(2989,a,3191,a)]. 3209 K(x,T(y \ 1,z)) = K(y,T(x,z)). [hyper(1965,a,3191,a),flip(a)]. 3210 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(259,a,2221,a(flip),b,3191,a),flip(a)]. 3211 K(T(x,y),y / z) = K(x,z \ y). [hyper(259,a,1705,a(flip),b,3191,a),flip(a)]. 3212 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(125,a,3191,a,b,4,a)]. 3214 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(58,a,3168,a(flip),b,3191,a),flip(a)]. 3215 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(58,a,1831,a(flip),b,3191,a),flip(a)]. 3216 T(x,T(y,z) \ x) = x * K(y,T(x,z)). [hyper(125,a,3191,a(flip),b,1504,a(flip)),flip(a)]. 3217 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [hyper(124,a,3191,a(flip),b,1410,a(flip))]. 3218 K(x,T(y,R(x,z,u))) = K(x,y). [para(165(a,1),3191(a,1,1)),flip(a)]. 3219 K(T(x,R(y,z,u)),y) = K(x,y). [para(165(a,1),3191(a,2,2))]. 3220 K(x / y,T(z,y)) = K(y \ x,z). [para(105(a,1),3191(a,1,1)),flip(a)]. 3221 K((x * y) / x,T(z,x)) = K(y,z). [para(204(a,1),3191(a,1,1)),flip(a)]. 3222 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(193(a,1),3191(a,1,1)),flip(a)]. 3223 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(169(a,1),3191(a,2,2))]. 3224 K(x * y,T(z,x)) = K(y * x,z). [para(708(a,1),3191(a,1,1)),flip(a)]. 3225 K(x,T(y,(x * z) * u)) = K(T(x,z * u),y). [para(1790(a,1),3191(a,1,1)),flip(a)]. 3226 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1957(a,1),3191(a,1,1)),flip(a)]. 3228 R(x,y,K(z,T(y,u))) = x. [para(3191(a,1),2941(a,1,3))]. 3229 R(x,y,K(T(y,z),u)) = x. [para(3191(a,2),2947(a,1,3))]. 3230 R(x,T(y,z),K(u,y)) = x. [para(979(a,1),3228(a,1,3,2))]. 3231 R(x,(y * z) / y,K(z,u)) = x. [para(204(a,1),3229(a,1,3,1))]. 3232 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(1156,a,3230,a),flip(a)]. 3233 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(3218(a,1),1668(a,1,2))]. 3234 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(3231(a,1),555(a,1,1))]. 3235 K(x,y \ (z \ y)) = K(z,T(x,y)). [hyper(3072,a,3192,a)]. 3238 K(x / y,T(z,x)) = K(z,x \ y). [hyper(259,a,2985,a(flip),b,3194,a),flip(a)]. 3239 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(z,u))). [para(3195(a,1),9(a,2,1,2)),flip(a)]. 3240 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(3195(a,1),38(a,1))]. 3241 K(x,y / z) * z = z * K(x,z \ y). [para(105(a,1),3195(a,1,2,2)),flip(a)]. 3242 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(340(a,1),3195(a,1,2,2))]. 3243 K(x,y / z) * y = y * K(x,z \ y). [para(348(a,1),3195(a,1,2,2)),flip(a)]. 3244 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(358(a,1),3195(a,1,2,2))]. 3245 K(x,y * z) * y = y * K(x,z * y). [para(708(a,1),3195(a,1,2,2)),flip(a)]. 3246 K(x,T(y,z)) * (z \ y) = (z \ y) * K(x,y). [para(979(a,1),3195(a,1,2,2)),flip(a)]. 3247 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(2005(a,1),3195(a,1,2,2)),flip(a)]. 3248 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [hyper(259,a,348,a,b,3196,a)]. 3250 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(3197(a,1),1725(a,1))]. 3253 T(x,T(y \ 1,z)) = x * K(y,T(x,z)). [hyper(125,a,3209,a(flip),b,1408,a(flip)),flip(a)]. 3256 K(T(x,y),z \ 1) = K(x,(z * y) \ y). [hyper(58,a,3016,a(flip),b,3211,a)]. 3257 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [hyper(124,a,3211,a(flip),b,1410,a(flip))]. 3258 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(193(a,1),3211(a,1,1))]. 3259 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(259,a,3190,a,b,3214,a),flip(a)]. 3261 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [hyper(124,a,3220,a(flip),b,1410,a(flip))]. 3262 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(223(a,1),3220(a,1,2))]. 3263 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(3220(a,1),1431(a,1,1))]. 3264 K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. [para(3220(a,1),2098(a,1))]. 3265 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(2012,a,3224,a)]. 3266 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(167(a,1),3224(a,1,2))]. 3267 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(3238(a,2),2989(a,1))]. 3268 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(3190(a,2),3183(a,1))]. 3269 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(3166(a,2),3250(a,1))]. 3270 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3169(a,2),3250(a,1))]. 3273 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(3215(a,2),3270(a,1))]. 3274 x \ 1 != K(y,z) * (u \ 1) | u * K(z,y) = x. [para(3036(a,1),43(a,1)),flip(a)]. 3275 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(330,a,3038,a)]. 3276 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [hyper(185,a,3040,a)]. 3277 T(x * K(y,z),K(z,y)) != x * u | T(K(y,z),x) = u. [para(3045(a,2),217(a,2)),flip(a)]. 3278 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(3045(a,1),213(a,1,2,1)),flip(a)]. 3279 x / T(y,T(x,z)) = T(y \ x,K(x,z)). [hyper(30,a,1905,a,b,3049,a)]. 3280 T(x,K(y,T(z,u))) * K(z,T(y,u)) = K(z,T(y,u)) * x. [para(3191(a,1),3049(a,1,1,2))]. 3281 (x * y) \ (z * T(x * y,x)) = T(z * K(y,x),x * y). [para(1403(a,1),3100(a,1,1,2)),flip(a)]. 3283 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(58,a,3100,a,b,3106,a)]. 3284 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(2198(a,2),3120(a,1,2))]. 3285 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(3130(a,1),1016(a,1))]. 3286 K(x,y * (1 / x)) = K(x,x \ y). [hyper(3057,a,3135,a)]. 3288 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),3286(a,1,2,2)),flip(a)]. 3289 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(73(a,1),3136(a,1,2,1,2)),flip(a)]. 3290 (x * (y * z)) \ u != K(z,y) | x * (z * y) = u. [para(3151(a,1),42(a,1)),flip(a)]. 3292 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(3178(a,1),2869(a,1,1)),flip(a)]. 3296 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [para(2159(a,2),3198(a,2,1)),flip(a)]. 3297 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [hyper(58,a,3209,a,b,3205,a)]. 3298 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(58,a,3235,a,b,3207,a)]. 3299 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(58,a,3209,a,b,3207,a)]. 3300 K(x,T(y \ x,z)) = K(y,T(x,z)). [hyper(58,a,1654,a(flip),b,3207,a),flip(a)]. 3301 T(x,T(y \ x,z)) = x * K(y,T(x,z)). [hyper(125,a,3300,a(flip),b,1408,a(flip)),flip(a)]. 3302 K(x / y,T(x,z)) = K(x,T(y,z)). [para(73(a,1),3300(a,1,2,1)),flip(a)]. 3304 K(x,T(y / x,z)) = K(x,T(y,z)). [hyper(58,a,3205,a(flip),b,3302,a)]. 3305 K(x,T(x \ y,z)) = K(x,T(y,z)). [hyper(58,a,1479,a(flip),b,3304,a)]. 3306 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(259,a,1378,a,b,3305,a),flip(a)]. 3307 (x * y) \ (T(x,z) * y) = K(x,T(z,y)). [hyper(120,a,3105,a(flip),b,3212,a(flip))]. 3308 T(x,T(y,z)) * K(x,z) = T(T(x,z),y). [hyper(58,a,2981,a(flip),b,3217,a)]. 3309 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(22(a,2),3223(a,1,1))]. 3310 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(544(a,1),3223(a,1,2))]. 3311 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(3226(a,1),1834(a,1,2)),flip(a)]. 3314 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(3009(a,2),3243(a,1,1))]. 3316 K((1 / x) * y,x) = K(x \ y,x). [hyper(259,a,3133,a(flip),b,3265,a),flip(a)]. 3317 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(259,a,1837,a(flip),b,3265,a),flip(a)]. 3318 K(x \ ((1 / x) \ y),x) = K(y,x). [para(5(a,1),3316(a,1,1)),flip(a)]. 3319 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(58,a,3088,a,b,3318,a)]. 3320 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(70(a,1),3276(a,1,2,1)),flip(a)]. 3322 T(x * K(y,z),y) = (y \ x) * T(y,z). [hyper(259,a,2978,a(flip),b,3283,a),flip(a)]. 3323 T(x * K(y,T(x,z)),y) = K(y,T(x,z)) * T(x,y). [hyper(259,a,1463,a(flip),b,3283,a),flip(a)]. 3324 T(T(x,y) * K(z,u),z) = T(T(x,z),y) * K(z,u). [para(18(a,1),3283(a,2,1))]. 3325 T(x,T(y \ 1,z)) = T(x,T(y \ x,z)). [hyper(259,a,3253,a,b,3301,a)]. 3326 T(x,T(y \ x,z)) = T(x,T(y,z) \ x). [hyper(259,a,3216,a,b,3301,a),flip(a)]. 3327 T(x,T(y \ x,z)) / y = (x / y) * K(y,T(x,z)). [para(3301(a,2),3104(a,1,1))]. 3328 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(259,a,1917,a,b,3306,a)]. 3329 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(1194,a,3308,a)]. 3332 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(3190(a,2),3329(a,1,2,2))]. 3334 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(125,a,2964,a(flip),b,92,a),flip(a)]. 3339 (x * (y / z)) * K(u,z / y) != w | x * T(y / z,u) = w. [para(3004(a,1),3067(a,1,2))]. 3340 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(3070(a,1),391(a,1))]. 3341 T(x,y / (z \ 1)) != u | T(x,(y \ 1) \ z) = u. [para(522(a,1),3079(a,1,2))]. 3342 T(x,y) * T(x,y) != z | x * T(T(x,y),y) = z. [para(1559(a,1),3101(a,1,1))]. 3343 T(x,L(y,y \ 1,z)) = T(x,y). [para(73(a,1),3127(a,2,2))]. 3344 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(17(a,2),3131(a,1,1,1))]. 3346 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(318(a,2),3143(a,1,2))]. 3347 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(91(a,2),3143(a,1,2,1))]. 3348 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(100(a,2),3144(a,1,2,1))]. 3351 K(x,x \ y) * K(z,y) != u | K(z,y) * K(x,x \ y) = u. [para(1459(a,1),3201(a,1,2,2))]. 3357 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(105(a,1),3273(a,1,2))]. 3358 T(x,y \ (y / z)) != u | T(x,z \ 1) = u. [para(750(a,1),3285(a,1,2))]. 3359 L(K(x,y),y,z) != u | K(x,y) = u. [para(3070(a,2),3340(a,1))]. 3362 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(120,a,2203,a(flip),b,2982,a)]. 3364 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(2983(a,1),1606(a,1,1))]. 3365 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(1500(a,2),3097(a,1,1,2))]. 3366 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(58,a,2467,a,b,3126,a)]. 3367 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(259,a,2987,a(flip),b,3132,a),flip(a)]. 3368 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(3132(a,1),2729(a,1,1))]. 3369 ((x * y) / x) * K(y,z) = T(y,z) * K(x,y). [hyper(1196,a,3149,a)]. 3370 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(259,a,2629,a(flip),b,3150,a)]. 3371 ((x * y) * (z \ (x * y))) / T(x,y) = (((x * y) / z) * (y * x)) / x. [para(317(a,1),3152(a,1,1))]. 3372 ((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (y * z)) / z). [para(3152(a,1),2710(a,2,2))]. 3373 (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. [hyper(966,a,3157,a),flip(a)]. 3374 K((x \ 1) \ y,x) = K(x * y,x). [hyper(29,a,1618,a(flip),b,3157,a(flip)),flip(a)]. 3376 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(3157(a,1),2483(a,2,2,1))]. 3377 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [para(315(a,1),3374(a,1,1,1)),flip(a)]. 3378 T(x,y) * (x \ z) = K(x,y) * z. [hyper(874,a,3164,a)]. 3381 T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)). [hyper(120,a,103,a(flip),b,3378,a)]. 3382 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(58,a,1883,a(flip),b,3378,a),flip(a)]. 3383 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(120,a,1883,a(flip),b,3378,a(flip))]. 3384 K(x,y) * (x * z) = T(x,y) * z. [para(4(a,1),3378(a,1,2)),flip(a)]. 3385 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(13(a,2),3378(a,1,2)),flip(a)]. 3386 K(x,y) * (z * x) = T(x,y) * T(z,x). [para(17(a,2),3378(a,1,2)),flip(a)]. 3389 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(108(a,1),3378(a,1,2)),flip(a)]. 3390 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(109(a,1),3378(a,1,2)),flip(a)]. 3391 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(3378(a,1),208(a,1,2,2))]. 3392 K(x,y) * (z * K(x,z)) = T(x,y) * (z / x). [para(1498(a,1),3378(a,1,2)),flip(a)]. 3395 x \ (T(x,y) * z) = K(x,y) * z. [para(4(a,1),3382(a,1,2)),flip(a)]. 3396 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(3382(a,1),708(a,1,1)),flip(a)]. 3397 ((T(x,y) \ z) \ 1) * K(y,x) = (x \ z) \ 1. [para(3382(a,1),3035(a,1,1)),flip(a)]. 3398 x * (K(x,y) * z) = T(x,y) * z. [hyper(125,a,62,a(flip),b,3383,a(flip)),flip(a)]. 3399 (T(x,y) * z) / (x * z) = K(x,y). [hyper(133,a,3384,a)]. 3401 T(x * y,T(y,z)) = T(x,T(y,z)) * y. [hyper(58,a,1751,a(flip),b,3384,a)]. 3402 K(x \ y,z) * T(y,x) = T(x \ y,z) * x. [para(709(a,2),3384(a,1,2))]. 3405 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(3384(a,1),565(a,1,1,1))]. 3406 (K(x,y) * x) * z = K(x,y) * (x * z). [para(1412(a,1),3384(a,2,1)),flip(a)]. 3407 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(3384(a,1),648(a,1))]. 3408 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(3384(a,1),538(a,1,1))]. 3409 K(K(x,y),z) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(3190(a,2),3384(a,2,1))]. 3410 (T(x,y) * z) / (K(x,y) * z) = x. [hyper(185,a,3395,a)]. 3411 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [hyper(125,a,3182,a(flip),b,3395,a)]. 3412 T(T(x,y) * z,x) = (K(x,y) * z) * x. [hyper(124,a,3395,a(flip),b,743,a),flip(a)]. 3413 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(3395(a,1),227(a,1,2))]. 3414 T(x,K(x,y) * z) = T(x,z). [para(3395(a,1),2282(a,1,2))]. 3415 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(3378(a,1),3395(a,1,2))]. 3416 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(259,a,1451,a(flip),b,3414,a),flip(a)]. 3417 T(x,K(y,x) * z) = T(x,z). [para(1447(a,1),3414(a,1,2,1))]. 3419 T(x,y * T(z,x)) = T(x,y * z). [para(2525(a,1),3417(a,1,2))]. 3420 T(x,y \ T(z,x)) = T(x,y \ z). [para(2522(a,1),3417(a,1,2))]. 3421 T(x,T(y,x) \ z) = T(x,y \ z). [para(3382(a,1),3417(a,1,2)),flip(a)]. 3424 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(259,a,3378,a(flip),b,3398,a),flip(a)]. 3425 x * (K(x,T(y,z)) * K(x,z)) = T(T(x,z),y). [hyper(259,a,3308,a(flip),b,3398,a),flip(a)]. 3426 T(T(x,y) * z,x) = K(x,y) * (z * x). [hyper(216,a,691,a,b,3398,a)]. 3427 (x * (K(x,y) * z)) * 1 = T(x,y) * z. [hyper(124,a,3398,a,b,68,a)]. 3428 T(x,y) * z != x * u | K(x,y) * z = u. [para(3398(a,1),38(a,1))]. 3429 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(1408(a,1),3398(a,1,2,1))]. 3430 T(x,y \ x) * z = x * (K(y,x) * z). [para(1525(a,1),3398(a,1,2,1)),flip(a)]. 3431 T(x,y \ 1) * z = x * (K(y,x) * z). [para(1951(a,1),3398(a,1,2,1)),flip(a)]. 3432 R(K(x,y),x,z) = K(x,y). [hyper(1441,a,3399,a)]. 3433 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(3399(a,1),224(a,1,1)),flip(b)]. 3435 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(58,a,2661,a(flip),b,3432,a)]. 3438 R(x,K(x,y),z) = x. [hyper(1429,a,3410,a)]. 3439 R(T(x,y),K(x,z),u) = T(x,y). [para(3438(a,1),22(a,2,1))]. 3440 R(x * y,K(y,x),z) = x * y. [para(1403(a,1),3438(a,1,2))]. 3441 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(3438(a,1),478(a,1,1,1)),flip(a)]. 3442 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(3439(a,1),470(a,1,1,1)),flip(a)]. 3443 (x * y) \ ((y * x) * z) = K(y,x) * z. [para(3440(a,1),572(a,1,1))]. 3445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(708(a,1),3420(a,1,2,2))]. 3446 T(x * y,T(x,y) \ z) = T(x * y,x \ z). [para(358(a,1),3421(a,1,2,1))]. 3447 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(1940(a,1),3421(a,1,2,1))]. 3448 K(x,y) * (T(y,z) * x) = T(y,z) * T(x,y). [hyper(259,a,1167,a(flip),b,3386,a),flip(a)]. 3449 T(x \ y,T(x,z)) = x \ T(y,T(x,z)). [hyper(1915,a,3401,a),flip(a)]. 3450 T(x,T(y / x,z)) * (y / x) = x * (T(y,T(y / x,z)) / x). [hyper(58,a,944,a(flip),b,3401,a),flip(a)]. 3451 L(x,y,K(y,z)) = x. [hyper(540,a,3406,a)]. 3452 L(x,y * z,K(z,y)) = x. [hyper(2800,a,3451,a)]. 3453 L(x,y,K(y,z)) != u | x = u. [para(3451(a,1),45(a,2))]. 3454 L(x,y,K(z,y)) = x. [para(1447(a,1),3451(a,1,3))]. 3455 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(2064,a,3454,a),flip(a)]. 3456 a(K(x,y),y,z) = 1. [hyper(48,a,3454,a)]. 3457 L(x,y,K(z,y)) != u | x = u. [para(3454(a,1),45(a,2))]. 3458 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(58,a,871,a(flip),b,3452,a)]. 3459 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(125,a,3452,a(flip),b,871,a(flip))]. 3460 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(3424(a,1),243(a,1,2)),flip(b)]. 3461 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(58,a,3412,a(flip),b,3426,a)]. 3462 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(3427(a,1),130(a,1)),flip(b)]. 3463 L(x,y \ T(y,z),y) = x. [hyper(1084,a,3429,a)]. 3464 L(x,K(y,z),z) = x. [para(1504(a,2),3463(a,1,2))]. 3465 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(2064,a,3464,a),flip(a)]. 3467 (x * (y / x)) * z = y * (K(x,y) * z). [para(970(a,1),3430(a,1,1))]. 3468 ((x * y) / x) * z = y * (K(x,y) * z). [para(973(a,1),3430(a,1,1))]. 3469 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(1932(a,1),3431(a,1,1)),flip(a)]. 3470 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(136,a,3443,a)]. 3471 (x * y) * (z * K(y,T(x,z))) = (y * x) * z. [hyper(125,a,3195,a,b,3443,a)]. 3472 (x * y) * T(T(y,x),z) = (y * x) * T(y,T(z,x)). [hyper(125,a,3329,a(flip),b,3443,a)]. 3474 K(x,y) * ((x * y) \ z) = (y * x) \ z. [para(5(a,1),3443(a,1,2)),flip(a)]. 3476 R(K(x,y),y,z) = K(x,y). [hyper(2817,a,3455,a)]. 3477 K(x,y) != z | R(K(x,y),y,u) = z. [para(3476(a,1),2815(a,1))]. 3480 K(x,y) * (K(y,x) * z) = z. [hyper(33,a,3458,a(flip),b,3458,a),flip(a)]. 3481 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(600,a,3480,a)]. 3482 K(x,y) \ z = K(y,x) * z. [hyper(279,a,3480,a),flip(a)]. 3483 x / (K(y,z) * x) = K(z,y). [hyper(133,a,3480,a)]. 3484 x \ (x / K(y,z)) = K(z,y). [hyper(30,a,791,a,b,3480,a)]. 3485 K(x,y) * (T(y,x) * z) = y * z. [hyper(29,a,3384,a,b,3480,a),flip(a)]. 3486 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(29,a,3382,a,b,3480,a),flip(a)]. 3489 K(x \ y,x) * (x * (y / x)) = y. [hyper(29,a,1496,a,b,3480,a),flip(a)]. 3490 L(x \ 1,x,K(y,z)) = K(z,y) * (K(y,z) / x). [hyper(29,a,422,a,b,3480,a)]. 3491 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(468,a,3480,a(flip),b,148,a(flip)),flip(a)]. 3492 T(x,y) * (K(y,x) * z) = x * z. [hyper(125,a,3480,a(flip),b,3395,a),flip(a)]. 3493 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(125,a,3480,a(flip),b,174,a)]. 3494 T(K(x,y) * z,K(x,y)) = z / K(y,x). [hyper(123,a,3480,a(flip),b,3049,a),flip(a)]. 3495 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(120,a,3480,a(flip),b,3378,a),flip(a)]. 3496 K(x,y) * z != u | K(y,x) * u = z. [para(3480(a,1),38(a,1)),flip(a)]. 3497 x * (K(y,z) * u) != u | K(z,y) = x. [para(3480(a,1),39(a,1)),flip(a)]. 3498 K(x,y) \ z != u | K(y,x) * z = u. [para(3480(a,1),243(a,1,2)),flip(b)]. 3499 x / (K(y,z) * x) != u | K(z,y) = u. [para(3480(a,1),268(a,1,1))]. 3500 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3480(a,1),708(a,1,1)),flip(a)]. 3501 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(3480(a,1),600(a,1))]. 3502 K(x,T(y,z)) * (K(y,T(x,z)) * u) = u. [para(3191(a,1),3480(a,1,1))]. 3503 (x * K(y,z)) \ x = K(z,y). [hyper(826,a,3482,a)]. 3504 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(259,a,1489,a,b,3482,a),flip(a)]. 3505 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(259,a,3382,a(flip),b,3482,a),flip(a)]. 3507 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(184,a,3013,a(flip),b,3482,a)]. 3509 x \ y != K(z,u) * y | K(u,z) = x. [para(3482(a,1),43(a,1)),flip(a)]. 3510 K(x,y) * (K(y,x) * z) != u | z = u. [para(3482(a,1),227(a,1,2))]. 3513 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(3482(a,1),297(a,1,1,3))]. 3515 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(31,a,2820,a,b,3483,a),flip(a)]. 3516 x / K(y,z) = x * K(z,y). [hyper(184,a,3483,a(flip),b,726,a(flip))]. 3517 (x * K(y,z)) * K(z,y) = x. [hyper(125,a,3483,a(flip),b,726,a(flip))]. 3518 K(x,y) != z / u | K(y,x) * z = u. [para(3483(a,1),40(a,1))]. 3520 K(x,y) != z | (u * K(y,x)) \ u = z. [para(3483(a,1),736(a,1))]. 3522 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(259,a,1723,a,b,3503,a)]. 3523 x / (K(y,z) \ 1) = x * K(y,z). [hyper(184,a,3027,a,b,3503,a)]. 3524 (x / T(y,z)) * y = x * K(z,y). [hyper(34,a,2974,a,b,3503,a)]. 3525 K(x,y) != z \ u | u * K(y,x) = z. [para(3503(a,1),43(a,1))]. 3526 x * K(y,z) != u | u * K(z,y) = x. [para(3503(a,1),132(a,1,2)),flip(b)]. 3527 (x * K(y,z)) * K(z,y) != u | x = u. [para(3503(a,1),227(a,1,2))]. 3528 (x * T(y,z)) \ (x * y) = K(z,y). [para(2954(a,1),3503(a,1,1))]. 3529 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(2971(a,2),3503(a,1,1))]. 3530 (K(x,y) * z) \ z = K(y,T(x,z)). [para(3172(a,1),3503(a,1,1))]. 3531 T(T(x,y),z) * K(y,x) = T(x,T(z,y)). [hyper(124,a,3308,a(flip),b,3516,a)]. 3532 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(124,a,3195,a(flip),b,3516,a)]. 3533 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(124,a,3182,a(flip),b,3516,a)]. 3534 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(124,a,2946,a(flip),b,3516,a)]. 3535 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(124,a,2932,a(flip),b,3516,a),flip(a)]. 3536 (x * y) / (y * K(z,y)) = x * K(y,z). [hyper(58,a,2931,a,b,3516,a)]. 3537 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3516(a,1),230(a,1,1)),flip(b)]. 3538 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3516(a,1),251(a,1,1))]. 3539 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(z,y) \ x,u). [para(3516(a,1),491(a,1,1,1))]. 3542 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3516(a,1),3084(a,2,2))]. 3543 (x * K(y,z)) * T(z,y) = x * z. [hyper(124,a,3517,a(flip),b,3063,a),flip(a)]. 3544 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3517(a,1),1044(a,1,1,2))]. 3545 x * (T(x,y) \ z) = K(y,x) * z. [hyper(279,a,3485,a),flip(a)]. 3548 T(x,y) * (T(y,x) * z) = x * (y * z). [hyper(125,a,3485,a(flip),b,3395,a),flip(a)]. 3549 K(x,y / x) * ((x \ y) * z) = (y / x) * z. [para(105(a,1),3485(a,1,2,1))]. 3551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(3485(a,1),538(a,1,1)),flip(a)]. 3553 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(123,a,1890,a(flip),b,3486,a)]. 3554 T(x,y) \ (x * z) = K(y,x) * z. [para(4(a,1),3486(a,1,2)),flip(a)]. 3555 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(17(a,2),3486(a,1,2)),flip(a)]. 3556 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(1445(a,1),3486(a,1,1)),flip(a)]. 3557 T(x,y \ 1) \ z = K(x,y) * (x \ z). [para(1955(a,1),3486(a,1,1)),flip(a)]. 3558 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(3191(a,1),3486(a,1,1))]. 3559 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(3491(a,1),2290(a,1,2,2,1))]. 3560 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(3491(a,1),2480(a,1,2,2,1))]. 3561 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(259,a,1495,a(flip),b,3492,a),flip(a)]. 3565 K(x,y) * (y * z) = y * (K(x,y) * z). [para(3492(a,1),3485(a,1,2))]. 3566 (x * T(y,z)) \ y = T(y,z) \ (x \ y). [hyper(1400,a,3495,a)]. 3567 K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). [hyper(125,a,3495,a(flip),b,3495,a),flip(a)]. 3569 T(x \ (y \ x),z) = x \ (T(y,z) \ x). [hyper(120,a,3495,a(flip),b,2393,a(flip)),flip(a)]. 3571 T(x,y \ x) \ z = x \ (K(x,y) * z). [para(1445(a,1),3495(a,1,2,1)),flip(a)]. 3572 T(x \ (K(y,x) * z),x) = T(x,y) \ T(z,x). [para(3495(a,2),2230(a,1,1))]. 3573 T(x,y) \ T(y,T(z,x)) = x \ T(T(y,x),z). [para(3329(a,1),3495(a,1,2)),flip(a)]. 3574 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(3505(a,1),227(a,1,2))]. 3579 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(468,a,xx,b,3524,a)]. 3580 (x / T(y,z)) \ (x * K(z,y)) = y. [hyper(127,a,3524,a)]. 3581 (x * y) / T(y,z) = x * K(z,y). [hyper(58,a,2185,a,b,3524,a)]. 3583 T(x,y / T(x,z)) = T(x,y * K(z,x)). [para(3524(a,1),998(a,1,2)),flip(a)]. 3584 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(3528(a,1),227(a,1,2))]. 3585 T(x,y) / T(x,z) = K(x,y) * K(z,x). [hyper(123,a,1412,a,b,3543,a)]. 3586 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,1496,a(flip),b,3543,a)]. 3587 (x * (y / x)) * K(z,x / y) = x / T(x / y,z). [hyper(123,a,811,a(flip),b,3543,a),flip(a)]. 3588 (x / y) * K(z,y) = x / T(y,z). [hyper(123,a,7,a(flip),b,3543,a),flip(a)]. 3589 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(2954(a,1),3543(a,1,1))]. 3591 (x * y) \ (K(z,y * x) * u) = K(y,x) * (T(y * x,z) \ u). [para(3545(a,1),3443(a,1,2))]. 3592 (x * (y * z)) / (T(y,x) * z) = T(x,y). [hyper(184,a,3384,a(flip),b,3554,a)]. 3593 K((x * y) * z,a(x,y,z)) * (x * (y * z)) = T(x * (y * z),(x * y) * z). [hyper(58,a,2835,a(flip),b,3554,a),flip(a)]. 3594 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(3554(a,1),227(a,1,2))]. 3595 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(58,a,2224,a(flip),b,3581,a)]. 3597 T(x \ (x / y),z) = x \ (x / T(y,z)). [hyper(120,a,3588,a(flip),b,2111,a(flip)),flip(a)]. 3598 x / T(y,z \ y) = (x / y) * K(y,z). [para(1445(a,1),3588(a,1,2)),flip(a)]. 3599 K(x,T(y,z)) * u != w | K(y,T(x,z)) * w = u. [para(3191(a,1),3496(a,1,1))]. 3610 (x * y) * ((y * x) \ y) = y * K(x,y). [hyper(259,a,1454,a(flip),b,3459,a),flip(a)]. 3611 L(x,y,K(x,z)) = x. [hyper(2809,a,3461,a)]. 3612 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(3461(a,1),452(a,1,1))]. 3613 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(3611(a,1),25(a,1,1)),flip(a)]. 3614 L(x,y,K(z,x)) = x. [para(1447(a,1),3611(a,1,3))]. 3615 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(3611(a,1),483(a,1,2,1))]. 3616 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(3614(a,1),25(a,1,1)),flip(a)]. 3617 L(x \ 1,y,K(x,z)) = x \ 1. [para(1951(a,1),3614(a,1,3))]. 3618 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(125,a,3617,a(flip),b,2801,a(flip))]. 3619 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(3617(a,1),1218(a,1,1)),flip(a)]. 3620 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [hyper(184,a,3616,a(flip),b,93,a(flip))]. 3621 (x * (y / x)) * (x * z) = y * (T(x,y) * z). [para(3384(a,1),3467(a,2,2))]. 3623 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(3384(a,1),3468(a,2,2))]. 3628 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [hyper(123,a,1450,a(flip),b,3481,a)]. 3629 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(3502(a,1),3510(a,1,2))]. 3630 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(1229(a,1),3507(a,1,2))]. 3631 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(2242(a,1),3507(a,1,2))]. 3632 K(x,(1 / y) * x) = K(x,y \ x). [hyper(58,a,2121,a(flip),b,3529,a)]. 3634 (x * (y * T(y \ z,u))) \ (x * z) = K(u,(x * y) \ (x * z)). [para(1228(a,1),3529(a,1,1))]. 3635 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(3529(a,1),2915(a,2,1,2,1))]. 3638 x / (y * K(z,y)) = (x / y) * K(y,z). [para(1500(a,1),3535(a,1,2))]. 3639 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(178,a,3536,a)]. 3640 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3548(a,1),1021(a,1,1))]. 3641 (x * (y / x)) \ z = K(y,x) * (y \ z). [para(970(a,1),3556(a,1,1))]. 3642 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(1499(a,1),3556(a,1,1))]. 3643 T(x,T(y \ x,z)) \ u = K(x,T(y,z)) * (x \ u). [para(3326(a,2),3556(a,1,1))]. 3644 T(x * L(y,z,u),(y \ x) * L(y,z,u)) = x * (K(y,x) * L(y,z,u)). [hyper(58,a,2641,a,b,3565,a)]. 3646 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3565(a,1),279(a,1))]. 3647 T(x \ T(y,z),y) = T(x,y) \ T(y,z). [hyper(2231,a,3569,a)]. 3648 T(x \ y,T(y,z)) = T(x,T(y,z)) \ y. [hyper(33,a,3449,a(flip),b,3569,a(flip))]. 3651 (x * K(y,x)) \ z = x \ (K(x,y) * z). [para(1499(a,1),3571(a,1,1))]. 3652 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(120,a,89,a(flip),b,3589,a)]. 3653 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3592(a,1),224(a,1,1)),flip(b)]. 3654 T(x / T(y,z),y) * L((y \ x) \ ((y \ x) / K(z,y)),u,w) = (y \ x) * (K(z,y) * L(K(z,y) \ 1,u,w)). [para(3595(a,2),1783(a,1,1))]. 3656 T(x,y) / T(z,x) = T(T(x,y) / z,x). [hyper(2231,a,3597,a),flip(a)]. 3657 T(x \ (x / y),z) * x = T(y,z) \ x. [hyper(124,a,3597,a,b,750,a)]. 3658 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(259,a,1823,a(flip),b,3628,a),flip(a)]. 3659 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(3639(a,1),2412(a,1,1)),flip(a)]. 3660 T(T(T(x,y) / z,x),z) = T(z,x) \ T(x,y). [hyper(608,a,3647,a)]. 3661 x / T(y \ x,T(x,z)) = T(y,T(x,z)). [hyper(184,a,3648,a,b,xx)]. 3662 T(T(x,y \ x) / y,x) = x / y. [hyper(58,a,1040,a(flip),b,3656,a),flip(a)]. 3663 T(x \ 1,y) * L(T(x,z),u,w) = T(x,y) \ L(T(x,z),u,w). [para(1683(a,1),3657(a,1,1,1))]. 3664 T((x \ y) \ y,K(y,z)) = T(x,T(y,z)). [hyper(58,a,3279,a(flip),b,3661,a)]. 3665 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(316(a,2),3664(a,1,1))]. 3666 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [hyper(1255,a,3665,a),flip(a)]. 3667 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(465,a,3665,a)]. 3668 T(x,T(y,T(x,z))) = T(x,y). [hyper(58,a,1461,a(flip),b,3665,a),flip(a)]. 3669 T(x,K(y,z)) * y = y * T(x,T(y,z)). [hyper(125,a,3665,a(flip),b,106,a),flip(a)]. 3670 T(x * (y / x),T(x,z)) = T(y,K(x,z)). [para(725(a,1),3665(a,1,1)),flip(a)]. 3671 T(x,T(x,y) * z) = T(x,z * T(x,y)). [hyper(1798,a,3668,a),flip(a)]. 3672 T(T(x,K(y,z)),y * z) = T(x,T(y * z,z)). [para(1534(a,1),3667(a,1,1,2))]. 3673 T(x * y,T(x,z)) = T(y,K(x,z)) * x. [hyper(259,a,1896,a,b,3669,a)]. 3674 T(x,y * T(x,z)) = T(x,y). [hyper(58,a,2279,a(flip),b,3671,a),flip(a)]. 3676 T(x,y / T(x,z)) = T(x,y). [para(7(a,1),3674(a,1,2)),flip(a)]. 3677 T(x,y * K(z,x)) = T(x,y). [hyper(58,a,3583,a(flip),b,3676,a)]. 3679 T(x,y * K(x,z)) = T(x,y). [para(1445(a,1),3677(a,1,2,2))]. 3680 K(x,y * K(x,z)) = x \ T(x,y). [hyper(120,a,3679,a(flip),b,1409,a(flip)),flip(a)]. 3682 K(x,y * K(x,z)) = K(x,y). [hyper(259,a,1408,a,b,3680,a),flip(a)]. 3683 K(x,y * K(x,z)) != u | K(x,y) = u. [para(3680(a,2),1427(a,1))]. 3684 K(x,y * K(z,x)) = K(x,y). [para(1447(a,1),3682(a,1,2,2))]. 3685 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(2985(a,1),3682(a,1,2,2))]. 3686 K(x,K(x,y) * z) = K(x,z). [para(3195(a,1),3682(a,1,2))]. 3687 K(x,y / T(z,x)) = K(x,y / z). [para(3588(a,1),3682(a,1,2))]. 3688 K(x * K(y,z),z) = 1 / K(z,x). [hyper(184,a,3684,a(flip),b,3027,a),flip(a)]. 3689 K(x,y \ T(z,x)) = K(x,y \ z). [para(2254(a,1),3684(a,1,2))]. 3690 K(x,y * T(z,x)) = K(x,y * z). [para(2954(a,1),3684(a,1,2))]. 3692 K(T(x,y),z * K(u,x)) = K(T(x,y),z). [para(3221(a,1),3684(a,1,2,2))]. 3694 K(x,K(x \ 1,y) * z) = K(x,z). [para(1959(a,2),3686(a,1,2,1))]. 3695 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(2900(a,1),3686(a,1,2,1))]. 3696 K(x,T(x,y) * z) = K(x,x * z). [para(3384(a,1),3686(a,1,2))]. 3698 K(x,K(y,x) \ z) = K(x,z). [para(3482(a,2),3686(a,1,2))]. 3699 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(3474(a,1),3686(a,1,2))]. 3700 K(x,y / (x / (x / z))) = K(x,y / z). [para(341(a,1),3687(a,1,2,2)),flip(a)]. 3701 K(x,y / (z * x)) = K(x,y / (x * z)). [para(708(a,1),3687(a,1,2,2))]. 3702 K(x * K(y,z),z) = K(x,z). [hyper(259,a,3028,a(flip),b,3688,a),flip(a)]. 3703 K(x * K(y,z),z) != u | K(x,z) = u. [para(3688(a,2),3032(a,1))]. 3704 K(x * K(y,z),y) = K(x,y). [para(1445(a,1),3702(a,1,1,2))]. 3705 K(x * T(y,z),z) = K(x * y,z). [para(2954(a,1),3702(a,1,1))]. 3706 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(2985(a,2),3702(a,1,1,2))]. 3707 K(K(x,y) * z,x) = K(z,x). [para(3532(a,1),3702(a,1,1)),flip(a)]. 3708 K(x * T(y,z),y) = K(x * y,y). [para(2954(a,1),3704(a,1,1))]. 3709 K(K(x,y) \ z,x) = K(z,x). [para(5(a,1),3707(a,1,1)),flip(a)]. 3710 K(K(x,y \ 1) * z,y) = K(z,y). [para(1951(a,2),3707(a,1,1,1))]. 3711 L(K(x,y),K(y,z) * x,u) != w | K(K(y,z) * x,y) = w. [para(3707(a,1),3060(a,1,1))]. 3712 K(T(x,y) * z,x) = K(x * z,x). [para(3384(a,1),3707(a,1,1))]. 3714 K(K(x,y) * z,x) != u | K(z,x) = u. [para(3709(a,1),1836(a,1))]. 3715 K(K(x \ 1,y) \ z,x) = K(z,x). [para(1959(a,2),3709(a,1,1,1))]. 3717 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(708(a,1),3689(a,1,2,2))]. 3718 K(x,T(x,y) * z) = K(x,z). [hyper(259,a,1388,a(flip),b,3696,a),flip(a)]. 3720 K(x,T(x,y) \ z) = K(x,z). [para(5(a,1),3718(a,1,2)),flip(a)]. 3721 K(x,T(x,y) / z) = K(z,x). [hyper(2998,a,3720,a),flip(a)]. 3722 K(x * T(y,z),y) = K(x,y). [hyper(3092,a,3721,a),flip(a)]. 3724 K(T(x,y) * z,x) = K(z,x). [hyper(58,a,3266,a,b,3722,a)]. 3726 K(T(x,y) \ z,x) = K(z,x). [para(5(a,1),3724(a,1,1)),flip(a)]. 3727 L(x,T(y,z) * u,K(u,y)) = x. [para(3724(a,1),3451(a,1,3))]. 3728 K(x,y \ T(x,z)) = K(y,x). [hyper(3072,a,3726,a)]. 3729 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(259,a,1525,a,b,3728,a),flip(a)]. 3732 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(3708(a,2),2728(a,2,1)),flip(a)]. 3733 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(2522(a,1),3710(a,1,1))]. 3734 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(3382(a,1),3710(a,1,1)),flip(a)]. 3735 (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. [para(3712(a,1),1421(a,1,2))]. 3736 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [hyper(125,a,3715,a(flip),b,1408,a(flip))]. 3737 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(105(a,1),3729(a,1,2,2)),flip(a)]. 3738 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(1318(a,1),3683(a,1,2))]. 3739 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(1321(a,1),3683(a,1,2))]. 3740 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(1344(a,1),3683(a,1,2))]. 3741 K(x,y \ ((z \ 1) \ 1)) != u | K(x,y \ z) = u. [para(1759(a,1),3683(a,1,2))]. 3742 K(x,K(x,y) * z) != u | K(x,z) = u. [para(3195(a,1),3683(a,1,2))]. 3743 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(2937(a,1),3683(a,1,2))]. 3744 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(1447(a,1),3695(a,1,2,1,1))]. 3745 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(1279(a,1),3703(a,1,1))]. 3746 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(1306(a,1),3703(a,1,1))]. 3747 K((1 / (1 / x)) * y,z) != u | K(x * y,z) = u. [para(1340(a,1),3703(a,1,1))]. 3748 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(2254(a,1),3703(a,1,1))]. 3749 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(1316(a,1),3714(a,1,1))]. 3750 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(1350(a,1),3714(a,1,1))]. 3751 K(((1 / x) * y) * z,u) != w | K(((x \ 1) * y) * z,u) = w. [para(1352(a,1),3714(a,1,1))]. 3752 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(123,a,3670,a(flip),b,3673,a(flip))]. 3753 K(T(x,y),K(x,z) * u) = K(T(x,y),u). [para(3532(a,1),3692(a,1,2)),flip(a)]. 3754 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(100(a,2),3701(a,2,2)),flip(a)]. 3755 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(534(a,1),3701(a,2,2,2))]. 3756 K(x \ (y * z),z) = K(x \ (z * y),z). [para(1927(a,1),3733(a,1,1,2)),flip(a)]. 3757 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(1932(a,1),3733(a,1,1,2))]. 3758 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(32,a,500,a,b,3752,a),flip(a)]. 3759 x * T(x \ y,K(x,z)) = T(y,K(x,z)). [hyper(32,a,493,a,b,3752,a)]. 3760 K(x,T(K(x,y) * z,u)) = K(T(x,u),z). [hyper(3270,a,3753,a)]. 3761 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5(a,1),3756(a,2,1,2))]. 3762 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(6(a,1),3757(a,1,1,2)),flip(a)]. 3763 T((x \ y) * z,K(x \ y,T(x,u))) = (x \ y) * T(z,K(y,T(x,u))). [para(1654(a,1),3758(a,2,2,2))]. 3764 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(1073,a,3759,a),flip(a)]. 3765 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [hyper(259,a,3191,a(flip),b,3760,a),flip(a)]. 3766 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(1447(a,1),3765(a,1,2,1,1))]. 3767 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(2525(a,1),3766(a,1,2,1))]. 3770 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(2981(a,2),3428(a,1))]. 3773 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(2654(a,1),3462(a,1))]. 3775 (x \ T(y,z)) * K(z,y) != u | L(x \ 1,x,T(y,z)) * y = u. [para(797(a,1),3584(a,1,1))]. 3776 T(x,y) != z | x * K(x,y) = z. [para(3029(a,1),3594(a,1))]. 3779 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(17(a,1),3748(a,1,1,2))]. 3780 K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. [para(708(a,1),3748(a,1,1,2))]. 3781 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(709(a,1),3748(a,1,1,2))]. 3782 K(x \ K(x,y),x) = K(z \ 1,z). [hyper(30,a,888,a,b,3189,a),flip(a)]. 3783 K(x,y) / (K(x,y) / x) = x * K(z \ 1,z). [hyper(125,a,3782,a(flip),b,1541,a),flip(a)]. 3784 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [hyper(259,a,3191,a(flip),b,3225,a),flip(a)]. 3785 T((x \ 1) \ 1,y) \ ((T(z,u) \ 1) \ K(w,z)) = T(x,y) \ (T(z,u) * K(w,z)). [para(3232(a,1),1746(a,2,2))]. 3786 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(259,a,3486,a(flip),b,3242,a),flip(a)]. 3787 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(120,a,3486,a(flip),b,3242,a)]. 3788 T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. [para(3248(a,2),41(a,1))]. 3789 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(3248(a,2),3588(a,1,1))]. 3790 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3662(a,1),3257(a,1,2))]. 3791 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(318(a,2),3288(a,1,2,1))]. 3792 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(2011,a,3299,a)]. 3793 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(259,a,1232,a,b,3365,a),flip(a)]. 3795 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(3369(a,2),1519(a,1))]. 3796 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(3143,a,3377,a)]. 3797 T((x / y) \ z,K(x / y,y)) = ((y \ x) \ z) * K(x / y,y). [para(105(a,1),3396(a,1,1,1)),flip(a)]. 3798 K(x,y \ z) * T(y,z) = T(z \ y,x) * z. [para(2985(a,1),3402(a,1,1))]. 3799 x * (K(T(x,y),z) * K(x,y)) = T(T(x,y),z). [para(3191(a,2),3425(a,1,2,1))]. 3800 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [hyper(184,a,3446,a,b,2042,a(flip))]. 3801 K(x,y) * (T(y,z) * x) = K(y,z) * (x * y). [hyper(259,a,3386,a,b,3448,a),flip(a)]. 3802 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [hyper(2046,a,3469,a),flip(a)]. 3803 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(120,a,5,a(flip),b,3469,a),flip(a)]. 3804 (x \ y) * (K(x,y) * z) = (y / x) * z. [para(1378(a,1),3469(a,1,2,1))]. 3805 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(3384(a,1),3469(a,1,2))]. 3806 (x / y) * (K(y \ x,y) * z) = (y \ x) * z. [para(3480(a,1),3469(a,1,2)),flip(a)]. 3807 K(x,y) * ((x \ y) * z) = (y / x) * z. [hyper(2046,a,3804,a),flip(a)]. 3809 ((x / y) * z) / (y \ x) = T(K(y,x) * z,x \ y). [hyper(123,a,3804,a(flip),b,3077,a)]. 3812 T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z). [hyper(120,a,3807,a(flip),b,3545,a),flip(a)]. 3815 K(x,T(y,z)) * (T(y,x) \ u) = T(T(y,x),T(x,z)) \ u. [para(1476(a,1),3558(a,1,1))]. 3816 K(x,T(y \ z,u)) * (x \ w) = T(x,T(z \ y,u)) \ w. [para(3207(a,1),3558(a,1,1))]. 3817 x \ T(K(y,x) * z,x) = T(x,y) \ T(z,x). [hyper(779,a,3572,a)]. 3818 T(x,y) \ T(y,T(z,x)) = T(x \ T(y,z),x). [hyper(259,a,799,a,b,3573,a),flip(a)]. 3822 T(K(x,y) * z,T(x,y)) = T(z,x) * K(x,y). [hyper(259,a,3283,a(flip),b,3666,a),flip(a)]. 3823 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(2946(a,1),3685(a,1,2))]. 3824 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(3534(a,1),3706(a,1,1)),flip(a)]. 3825 K(x,y) / (K(x,y) / x) = 1 / (1 / x). [hyper(259,a,1510,a,b,3783,a),flip(a)]. 3826 (1 / (1 / x)) \ K(x,y) = K(x,y) / x. [hyper(178,a,3825,a)]. 3827 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(184,a,3826,a(flip),b,3040,a),flip(a)]. 3828 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [hyper(124,a,3827,a(flip),b,2165,a(flip))]. 3829 K(x,T(y,T(z,x) * u)) = K(x,T(y,(z * x) * u)). [para(103(a,1),3784(a,1,2,2,1)),flip(a)]. 3830 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(1847,a,3791,a)]. 3831 x * (T(y \ z,x) * y) != u | T(x,z \ y) * T(z,y) = u. [para(3798(a,1),3413(a,1,2))]. 3832 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [hyper(3496,a,3801,a)]. 3833 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(58,a,3244,a,b,3802,a)]. 3834 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(3803(a,1),3742(a,1,2))]. 3835 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [hyper(120,a,1409,a,b,3806,a),flip(a)]. 3836 T(x,y) \ ((y \ x) * (z * (z \ u))) = x \ ((x / y) * u). [para(148(a,1),3812(a,2,2))]. 3837 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(33,a,3495,a,b,3817,a),flip(a)]. 3838 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(259,a,3555,a,b,3837,a),flip(a)]. 3840 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [para(5(a,1),3837(a,1,1)),flip(a)]. 3841 T(K(x,y / x) * z,y / x) = K(x,y) * T(z,y / x). [para(1483(a,1),3837(a,2,1))]. 3842 T(K(x,y \ 1) * z,y \ 1) = K(y,x) * T(z,y \ 1). [para(1951(a,1),3837(a,2,1))]. 3843 T(K(x,y) * (T(y,x) / z),y) = ((T(y,x) / y) * z) \ T(y,x). [hyper(259,a,654,a,b,3838,a),flip(a)]. 3845 T(K(x,y) \ z,y) = K(y,x) * T(z,y). [hyper(3496,a,3840,a),flip(a)]. 3846 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(1073,a,3840,a),flip(a)]. 3847 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [hyper(124,a,3840,a(flip),b,2398,a),flip(a)]. 3849 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(3482(a,1),3845(a,1,1))]. 3850 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(259,a,2530,a,b,3849,a),flip(a)]. 3851 T(K(x,y) * (x / z),x) = K(x,y) * (z \ x). [para(348(a,1),3849(a,2,2))]. 3852 T(T(x,T(y,z)) / z,x) = z \ T(x,y). [hyper(35,a,3660,a,b,3818,a(flip))]. 3853 T(T((x * y) * (y \ z),T(z,T(x * z,z))) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [hyper(259,a,2735,a(flip),b,3852,a),flip(a)]. 3854 T(K(x,y) * z,y) * K(y,x) = T(z,T(y,x)). [para(3480(a,1),3822(a,1,1)),flip(a)]. 3856 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [hyper(125,a,3830,a(flip),b,1494,a),flip(a)]. 3858 T(x,T(y,z)) * K(z,y) = T(K(z,y) * x,y). [hyper(3526,a,3854,a)]. 3859 T(K(x,y / x) * z,y / x) = T(z,x \ y) * K(x,y / x). [para(105(a,1),3858(a,1,1,2)),flip(a)]. 3860 T(K(x,y) * (T(y,x) / z),y) = (z \ T(y,x)) * K(x,y). [para(348(a,1),3858(a,1,1)),flip(a)]. 3862 R(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(3067,a,3154,a),flip(a)]. 3864 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [para(1598(a,1),3862(a,2,1))]. 3866 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(3344,a,3177,a)]. 3868 (x \ K(x,y)) * L(x,z,u) != w | K(x,y) * (x \ L(x,z,u)) = w. [para(1093(a,1),3460(a,1))]. 3869 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(3651(a,2),3460(a,1))]. 3870 (K(x,y) * (K(y,x) / z)) * L(L(z \ 1,z,K(y,x)) \ 1,u,w) = L((z \ 1) * L((z \ 1) \ 1,u,w),z,K(y,x)). [para(3490(a,1),2910(a,1,1))]. 3882 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(3169(a,1),3629(a,1,1))]. 3884 T(x,y) * T(y * K(z,y),x) != u | x * (y * K(z,T(y,x))) = u. [para(1610(a,1),3653(a,1,2))]. 3885 K(x,R((y \ 1) \ 1,z,u) \ w) != v5 | K(x,R(y,z,u) \ w) = v5. [para(879(a,2),3738(a,1,2,1))]. 3886 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(70(a,1),3745(a,1,1,2,2))]. 3887 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(73(a,1),3750(a,1,1,2,1))]. 3888 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(58,a,1482,a(flip),b,3754,a)]. 3892 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(3017(a,1),2657(a,1,2))]. 3893 L(T(x \ 1,y),x,z) * K(L(x \ 1,x,z),u) = K(y,x) * T(L(x \ 1,x,z),u). [para(3021(a,1),2954(a,1,1))]. 3895 (x * K(y,z)) / (x / y) = T(x / (x / y),z). [para(1510(a,2),3065(a,1,1)),flip(a)]. 3896 (x * K(y,z)) / (x / y) = T(x * (y / x),z). [hyper(259,a,945,a(flip),b,3895,a),flip(a)]. 3897 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [hyper(1946,a,3896,a)]. 3898 T(x,K(y,z)) * (y / x) = y * K(x,T(y,z)). [hyper(124,a,3670,a(flip),b,3896,a)]. 3899 K(x,K(y,z)) * (y * K(x,y)) = y * K(x,T(y,z)). [hyper(58,a,3392,a,b,3898,a)]. 3900 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [hyper(184,a,3073,a(flip),b,620,a)]. 3901 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [para(641(a,1),3074(a,1,1,1)),flip(a)]. 3902 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(3080(a,1),2057(a,1))]. 3903 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(566(a,1),3086(a,1,2)),flip(a)]. 3904 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(1968(a,2),3123(a,2,2))]. 3905 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(3160(a,1),3594(a,1,2))]. 3906 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(1981(a,2),3262(a,2,1)),flip(a)]. 3907 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(1614,a,3289,a)]. 3908 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(2984(a,1),3289(a,2,2))]. 3909 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(259,a,2159,a,b,3296,a)]. 3910 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(259,a,1834,a(flip),b,3311,a),flip(a)]. 3911 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(3910(a,1),2545(a,1,1))]. 3912 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(58,a,1840,a(flip),b,3317,a),flip(a)]. 3913 T(T(x,y) * K(z,x),z) = T(x,T(y,z)). [hyper(259,a,3531,a(flip),b,3324,a),flip(a)]. 3914 T(x * K(y,x),T(z,y)) = T(x,z) * K(y,x). [hyper(1611,a,3913,a)]. 3915 T(x * K(y,x),K(z,T(u,y))) = T(x,K(z,u)) * K(y,x). [para(3190(a,2),3914(a,1,2))]. 3916 T(x,T(x / y,z)) / y = (x / y) * K(y,T(x,z)). [para(1004(a,2),3327(a,1,1))]. 3917 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(958(a,1),3332(a,1,1))]. 3918 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(1496(a,2),3370(a,1,1))]. 3919 K(K(x,y),z) * (K(x,y) * y) = y * K(x,T(y,z)). [hyper(259,a,1460,a(flip),b,3409,a),flip(a)]. 3920 (x * y) * T(T(y,x),z) = y * (x * T(y,T(z,x))). [hyper(259,a,703,a(flip),b,3472,a),flip(a)]. 3922 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3480(a,1),3515(a,1,2,2)),flip(a)]. 3923 R(K(x,y),z,x \ 1) = K(x,y). [hyper(562,a,3618,a)]. 3924 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(240,a,3618,a)]. 3925 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(2833(a,1),3631(a,1,2))]. 3928 x / (y \ ((x / z) * y)) = T(K(y,x) * z,x \ y). [hyper(58,a,921,a(flip),b,3809,a)]. 3931 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(2992(a,1),3856(a,2,2))]. 3932 K(x,K(y,z)) * (K(x,y) * y) = y * K(x,T(y,z)). [para(1454(a,2),3899(a,1,2))]. 3933 x * (y * T(x,T(z,y))) = T(x,z) * (y * x). [hyper(1074,a,3920,a),flip(a)]. 3934 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(29,a,3398,a,b,3933,a)]. 3935 K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). [para(3175(a,1),3934(a,2,2,2))]. 3936 T(K(x,y) * z,y \ x) = y / T(y / z,x). [para(17(a,2),3928(a,1,2)),flip(a)]. 3939 K(K(x,y),z) = K(x,K(y,z)). [hyper(30,a,3919,a,b,3932,a)]. 3941 K(x,K(y,z)) = K(z,K(y,x)). [hyper(3053,a,3939,a)]. 3942 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(1990,a,3939,a)]. 3943 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(1965,a,3939,a),flip(a)]. 3944 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(125,a,3939,a(flip),b,1408,a(flip))]. 3945 T(x,K(y,z)) * K(y,K(z,x)) = x. [hyper(125,a,3939,a(flip),b,1373,a(flip))]. 3946 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [hyper(124,a,3939,a(flip),b,3399,a)]. 3947 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [hyper(124,a,3939,a(flip),b,1410,a(flip))]. 3951 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(3939(a,1),3053(a,1))]. 3952 K(x,y) * (K(x,K(y,z)) * u) = T(K(x,y),z) * u. [para(3939(a,1),3398(a,1,2,1))]. 3953 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(3939(a,1),3486(a,1,1))]. 3954 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(3707(a,1),3939(a,1,1)),flip(a)]. 3955 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(3939(a,1),3055(a,2,1))]. 3957 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(125,a,3941,a,b,1408,a(flip))]. 3958 K(x * y,K(y,z)) = K(z,K(y,x)). [para(1474(a,1),3941(a,1,2)),flip(a)]. 3960 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(3941(a,1),3051(a,1))]. 3961 K(x,K(y,1 / z)) = K(z,K(x,y)). [hyper(1842,a,3942,a),flip(a)]. 3962 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(58,a,2869,a,b,3942,a)]. 3963 K(x,K(y,z)) = K(y,K(x,z)). [para(1951(a,1),3943(a,1,2))]. 3964 K(K(x,y),z) = K(y,K(z,x)). [hyper(3051,a,3963,a)]. 3965 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(259,a,3943,a,b,3963,a)]. 3966 K(x,K(y,z)) = K(z,K(x,y)). [hyper(259,a,3941,a,b,3963,a),flip(a)]. 3967 K(K(x,y),z) = K(y,K(x,z)). [hyper(259,a,3939,a,b,3963,a)]. 3968 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(125,a,3963,a,b,1408,a(flip))]. 3969 K(x,K(y,z)) * y = T(y,K(x,z)). [hyper(124,a,3963,a,b,1410,a(flip))]. 3970 K(x,K(y,y * z)) = K(y,K(x,z)). [para(1388(a,2),3963(a,1,2))]. 3971 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(1480(a,2),3963(a,1,2))]. 3975 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(3686(a,1),3963(a,1,2)),flip(a)]. 3976 K(K(x,y),z) = K(x,K(z,y)). [hyper(259,a,3941,a,b,3964,a),flip(a)]. 3977 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(3964(a,1),3053(a,1))]. 3978 K(K(x,y),z) = K(z,K(x,y)). [hyper(259,a,3964,a,b,3966,a)]. 3979 K(x,K(y,z)) = K(x,K(z,y)). [hyper(259,a,3963,a,b,3966,a)]. 3980 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(259,a,3943,a,b,3966,a)]. 3981 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(125,a,3966,a,b,2973,a)]. 3982 x * K(y,K(z,x)) = T(x,K(y,z)). [hyper(125,a,3966,a,b,1408,a(flip))]. 3983 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [hyper(124,a,3966,a,b,2820,a)]. 3984 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [hyper(124,a,3966,a,b,2664,a(flip))]. 3985 K(x,K(y,z)) * z = T(z,K(x,y)). [hyper(124,a,3966,a,b,1410,a(flip))]. 3986 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(58,a,3942,a,b,3966,a)]. 3987 K(x,K(y,y \ z)) = K(y,K(z,x)). [para(1378(a,2),3966(a,2,2)),flip(a)]. 3988 K(x,K(y \ z,z)) = K(z,K(y,x)). [para(1445(a,2),3966(a,2,2)),flip(a)]. 3989 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(3966(a,2),1431(a,1,1))]. 3990 K(x \ 1,K(y,z)) = K(y,K(x,z)). [para(1951(a,1),3966(a,1,2)),flip(a)]. 3991 K(x,K(y \ 1,z)) = K(y,K(x,z)). [para(1955(a,2),3966(a,1,2))]. 3994 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(3966(a,2),3433(a,1,1))]. 3995 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(2871(a,1),3967(a,1,1)),flip(a)]. 3996 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(3976(a,1),3053(a,1))]. 3997 x * K(K(y,z),x) = T(x,K(y,z)). [hyper(125,a,3978,a,b,1408,a(flip))]. 3998 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(121,a,3978,a,b,3517,a),flip(a)]. 3999 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [hyper(124,a,3978,a(flip),b,3483,a)]. 4000 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(3978(a,1),3053(a,1))]. 4001 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(3978(a,1),3486(a,1,1))]. 4003 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. [para(3978(a,1),3510(a,1,1))]. 4005 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(259,a,2323,a,b,3979,a)]. 4006 x * K(x,K(y,z)) = T(x,K(z,y)). [hyper(125,a,3979,a,b,1408,a(flip))]. 4007 K(x,K(y,z)) * x = T(x,K(z,y)). [hyper(124,a,3979,a,b,1410,a(flip))]. 4009 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(2664(a,1),3979(a,1,2)),flip(a)]. 4010 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(3004(a,1),3979(a,1,2))]. 4011 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(3005(a,2),3979(a,1,2))]. 4013 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(259,a,3941,a,b,3958,a),flip(a)]. 4014 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(58,a,3941,a,b,3958,a)]. 4015 K(x,K(y,1 / z)) = K(x,K(y,z)). [hyper(259,a,3966,a,b,3961,a),flip(a)]. 4016 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(2957(a,1),3965(a,1,2)),flip(a)]. 4017 T(x,K(y,z)) != u * x | K(y,K(x,z)) = u. [para(3969(a,1),39(a,1))]. 4018 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(2133(a,1),3969(a,1,1,2)),flip(a)]. 4019 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(58,a,3963,a,b,3970,a)]. 4020 T(x,K(y,z)) = T(x,K(z,y)). [hyper(58,a,3957,a(flip),b,3982,a)]. 4021 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3501,a,4020,a)]. 4023 (K(x,y) * z) / K(x,y) = T(z,K(x,y)). [hyper(3140,a,4020,a)]. 4024 T(T(x,K(y,z)),K(y,z)) = x. [hyper(3052,a,4020,a),flip(a)]. 4025 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(788,a,4020,a),flip(a)]. 4026 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(259,a,3500,a,b,4020,a)]. 4027 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(259,a,3665,a(flip),b,4020,a),flip(a)]. 4028 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(125,a,4020,a,b,17,a(flip))]. 4030 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(4020(a,1),788(a,1))]. 4031 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(1951(a,1),4020(a,1,2)),flip(a)]. 4032 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(4020(a,1),3050(a,1))]. 4033 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(4020(a,1),3141(a,1))]. 4034 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(1236,a,4024,a)]. 4035 (x * K(y,z)) / x = T(K(y,z),x). [hyper(184,a,4024,a(flip),b,1166,a)]. 4036 T(K(x,y),z) * z = z * K(x,y). [hyper(125,a,4024,a(flip),b,1166,a)]. 4037 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(4024(a,1),3052(a,1,1))]. 4038 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(259,a,2001,a(flip),b,3985,a),flip(a)]. 4039 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(58,a,3966,a,b,3987,a)]. 4040 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(58,a,3963,a,b,3987,a)]. 4041 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(58,a,3966,a,b,4013,a)]. 4042 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(76(a,1),4014(a,1,2,2))]. 4043 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(4027(a,1),3193(a,1,2))]. 4044 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(259,a,3190,a,b,4035,a),flip(a)]. 4045 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,3190,a,b,4035,a)]. 4046 K(T(x,y),z) * y = y * K(x,z). [hyper(124,a,3169,a,b,4035,a)]. 4047 (x * L(K(y,z),u,w)) / x = L(T(K(y,z),x),u,w). [para(4035(a,1),1134(a,1,1)),flip(a)]. 4048 T(K(x,y \ z),y) = K(x,z / y). [hyper(30,a,3241,a,b,4036,a),flip(a)]. 4049 T(K(x \ y,z),x) = K(y / x,z). [hyper(30,a,3187,a,b,4036,a),flip(a)]. 4050 (x * K(y,z)) / x != u | T(K(y,z),x) = u. [para(4036(a,1),268(a,1,1))]. 4052 K(x,K(x / y,z)) = K(x,K(y,z)). [para(2991(a,1),4040(a,1,2)),flip(a)]. 4053 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(259,a,3966,a,b,4041,a),flip(a)]. 4054 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(728(a,1),4043(a,1,2,2))]. 4055 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(1094(a,1),4043(a,1,2,2))]. 4056 K(x * y,z) * y = y * K(y * x,z). [hyper(124,a,3224,a(flip),b,4044,a)]. 4060 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(4044(a,1),249(a,1,1))]. 4061 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(4044(a,1),669(a,1,1,1))]. 4062 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(4044(a,1),1233(a,1,1,1))]. 4064 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(3599,a,4045,a)]. 4065 K(x,T(T(y,z),z)) = K(x,y). [hyper(3240,a,4045,a)]. 4066 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(30,a,3246,a,b,4045,a),flip(a)]. 4067 K(x,T(y * z,z)) = K(x,z * y). [hyper(30,a,3245,a,b,4045,a),flip(a)]. 4068 K(x,T(y \ z,z)) = K(x,z / y). [hyper(30,a,3243,a,b,4045,a),flip(a)]. 4070 K(x * y,T(z,y)) = K(y * x,z). [hyper(30,a,3188,a,b,4045,a),flip(a)]. 4071 K(x \ y,T(z,x)) = K(y / x,z). [hyper(30,a,3187,a,b,4045,a),flip(a)]. 4072 K(x \ y,T(z,y)) = K(y / x,z). [hyper(30,a,3162,a,b,4045,a),flip(a)]. 4073 K(T(x,y),T(z,y)) = K(x,z). [hyper(30,a,3172,a(flip),b,4045,a),flip(a)]. 4074 K(x,T(y,z)) * (z / y) = (z / y) * K(x,y). [para(1009(a,1),4045(a,1,1,2))]. 4075 K((x * y) / x,z) = K(y,T(z,x)). [hyper(58,a,3221,a(flip),b,4065,a),flip(a)]. 4076 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [para(20(a,2),4065(a,1,2,1))]. 4077 K(x,(y * z) / y) = K(x,T(z,y)). [para(204(a,1),4065(a,1,2,1)),flip(a)]. 4079 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(1108(a,2),4065(a,1,2))]. 4080 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(1924(a,1),4065(a,1,2,1)),flip(a)]. 4081 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(3075(a,1),4065(a,1,2,1))]. 4082 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(125,a,4073,a,b,1408,a(flip))]. 4083 K(T(x,y),y \ z) = K(x,z / y). [hyper(58,a,2088,a(flip),b,4073,a)]. 4084 K(T(x,y),z \ y) = K(x,y / z). [hyper(58,a,1705,a(flip),b,4073,a)]. 4085 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [hyper(125,a,4073,a(flip),b,1408,a(flip)),flip(a)]. 4086 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [hyper(124,a,4073,a(flip),b,1627,a),flip(a)]. 4089 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(20(a,2),4073(a,1,2))]. 4090 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(22(a,2),4073(a,1,2))]. 4091 K(x,(y * z) / y) = K(T(x,y),z). [para(204(a,1),4073(a,1,2)),flip(a)]. 4092 K(x / (x / y),z) = K(y,T(z,x)). [para(341(a,1),4073(a,1,1)),flip(a)]. 4093 K(T(x,y),z * y) = K(x,y * z). [para(708(a,1),4073(a,1,2))]. 4095 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(903(a,1),4073(a,1,2))]. 4096 K(x,T(y,x / z)) = K(T(x,z),y). [para(981(a,1),4073(a,1,1))]. 4097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(989(a,1),4073(a,1,1)),flip(a)]. 4098 K(x * K(y,x),z) = K(x,T(z,y)). [para(1507(a,1),4073(a,1,1)),flip(a)]. 4099 K(x,y * K(z,y)) = K(T(x,z),y). [para(1507(a,1),4073(a,1,2)),flip(a)]. 4101 K(T(x * y,y),z) = K(y * x,z). [hyper(30,a,3188,a,b,4046,a),flip(a)]. 4102 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(259,a,3012,a,b,4049,a),flip(a)]. 4103 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [hyper(58,a,2624,a(flip),b,4049,a),flip(a)]. 4104 T(x,K(y,z * x)) = x * K(x,K(y,z)). [hyper(125,a,4053,a(flip),b,1408,a(flip)),flip(a)]. 4105 K(x \ y,T(z,x)) = K(z,x / y). [hyper(58,a,3207,a,b,4068,a)]. 4106 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(4068(a,1),3267(a,1))]. 4107 K(x * y,y \ z) = K(y * x,z / y). [hyper(58,a,2088,a(flip),b,4070,a)]. 4108 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(125,a,4070,a(flip),b,1408,a(flip))]. 4109 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(2999,a,4071,a)]. 4111 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(9(a,2),4071(a,1,1)),flip(a)]. 4112 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(4071(a,1),1640(a,1,2)),flip(a)]. 4113 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(4071(a,1),1836(a,1))]. 4114 K(x,y / (y * z)) = K(z,T(x,y)). [hyper(3091,a,4075,a)]. 4115 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(1152(a,1),4075(a,1,1))]. 4116 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(89(a,1),4077(a,1,2,1))]. 4117 T(x,(y * z) / y) = x * K(T(x,y),z). [para(204(a,1),4082(a,1,2,2)),flip(a)]. 4118 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(1770(a,1),4083(a,1,1))]. 4119 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(1855,a,4084,a)]. 4120 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(4084(a,1),1850(a,1))]. 4121 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(58,a,1754,a,b,4091,a)]. 4122 K(T(x,T(y,z)),z) = K(x,z * K(y,z)). [para(1562(a,1),4091(a,1,2)),flip(a)]. 4123 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(18(a,1),4092(a,2,2))]. 4124 K(x * K(y,x),z) = K(x,T(z,x * y)). [para(1551(a,1),4092(a,1,1))]. 4125 K(x,T(y,x / z)) = K(x,T(y,z)). [hyper(259,a,3191,a(flip),b,4096,a),flip(a)]. 4126 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(58,a,2217,a,b,4098,a)]. 4127 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(2742(a,1),4098(a,1,1)),flip(a)]. 4128 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(3191(a,1),4098(a,1,1,2))]. 4129 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(3219(a,1),4098(a,1,1,2)),flip(a)]. 4130 K(x * y,(z * y) \ y) = K(y * x,z \ 1). [hyper(58,a,3256,a(flip),b,4101,a)]. 4131 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(4105(a,1),3083(a,1))]. 4132 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(4105(a,2),3085(a,1))]. 4133 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(4114(a,1),3085(a,1))]. 4134 K(x,T(y,z \ x)) = K(x,T(y,z)). [para(70(a,1),4125(a,1,2,2)),flip(a)]. 4135 (x * (y \ x)) * K(x,T(z,y)) = T(x,z) * (y \ x). [hyper(125,a,4134,a(flip),b,3307,a)]. 4137 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(3967(a,2),3951(a,1))]. 4139 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(3988(a,2),3951(a,1))]. 4141 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(3961(a,2),3996(a,1))]. 4143 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(1474(a,2),4000(a,1,2))]. 4144 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(2323(a,2),4000(a,1))]. 4145 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(2985(a,1),4000(a,1,2))]. 4146 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(3004(a,1),4000(a,1,2))]. 4147 K(x,T(K(y,z),u)) != w | K(x,K(z,T(y,u))) = w. [para(3169(a,1),4000(a,1,2))]. 4150 K(x,y) * (z * K(y,x)) != u | T(z,K(x,y)) = u. [para(3481(a,2),4037(a,1))]. 4151 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(4031(a,2),4037(a,1))]. 4152 T(K(x,y),L(y,z,u)) != w | K(x,y) = w. [para(166(a,1),4060(a,1,1,2))]. 4153 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(3163(a,1),4060(a,1))]. 4154 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(3169(a,2),4060(a,1))]. 4155 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(3190(a,2),4060(a,1))]. 4156 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(4068(a,1),4060(a,1,1))]. 4157 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(18(a,1),4154(a,1,2))]. 4158 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(20(a,2),4154(a,1,1))]. 4159 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(20(a,2),4154(a,1,2))]. 4161 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(105(a,1),4154(a,1,2))]. 4162 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(193(a,1),4154(a,1,1))]. 4163 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(341(a,1),4154(a,1,1))]. 4164 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(4101(a,1),4154(a,1))]. 4165 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(105(a,1),4155(a,1,2,1))]. 4166 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(348(a,1),4155(a,1,2,1))]. 4168 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(1930(a,1),4155(a,1,2,1))]. 4169 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(3075(a,1),4155(a,1,2,1))]. 4170 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(259,a,3190,a,b,3944,a),flip(a)]. 4171 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(3698(a,1),3944(a,1,2,2)),flip(a)]. 4172 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [hyper(259,a,3190,a,b,3947,a),flip(a)]. 4173 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(3193(a,1),3947(a,1,1,2)),flip(a)]. 4175 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(259,a,3939,a(flip),b,3954,a),flip(a)]. 4176 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(259,a,3963,a,b,3975,a),flip(a)]. 4177 K(x,K(y,K(x,z) * u)) = K(u,K(x,y)). [hyper(259,a,3941,a,b,3975,a),flip(a)]. 4178 L((K(x,K(y,z)) * u) \ w,K(x,K(y,z)) * u,K(x,K(y,z))) = u \ (K(x,K(y,z)) * w). [para(3999(a,1),91(a,2,1))]. 4179 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(4011(a,2),4000(a,1))]. 4180 T(x,K(y,z)) != K(y,z) * u | x * K(z,y) = u. [para(4021(a,1),38(a,1))]. 4182 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [hyper(124,a,2001,a(flip),b,4023,a)]. 4183 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(259,a,2981,a,b,4085,a),flip(a)]. 4185 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(17(a,2),4102(a,1,1,1)),flip(a)]. 4186 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(259,a,1409,a,b,4104,a),flip(a)]. 4187 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(259,a,4006,a(flip),b,4104,a),flip(a)]. 4188 T(x,K(y,z / x)) = T(x,K(y,z)). [para(7(a,1),4186(a,1,2,2)),flip(a)]. 4189 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(4037,a,4187,a)]. 4190 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(259,a,3009,a,b,4107,a)]. 4191 R(x,y \ z,K(y / z,u)) = x. [para(4109(a,1),2950(a,1,3))]. 4192 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(4191(a,1),554(a,1,1))]. 4193 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(2157(a,2),4117(a,1,2))]. 4194 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(259,a,4099,a(flip),b,4122,a),flip(a)]. 4195 K(T(x,y / z),z) = K(T(x,z \ y),z). [para(105(a,1),4194(a,1,1,2)),flip(a)]. 4196 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4124(a,2),3273(a,1))]. 4197 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(4170(a,1),38(a,1))]. 4198 K(x,T(y,z)) * K(y,x) = K(x,K(y,z)). [hyper(3526,a,4172,a)]. 4199 K(x,K(y,z)) / K(y,x) = K(x,T(y,z)). [hyper(58,a,3516,a,b,4172,a)]. 4200 K(x,T(y,z)) * K(y,x) != u | K(x,K(y,z)) = u. [para(4172(a,1),3527(a,1,1))]. 4201 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(4172(a,1),3179(a,1))]. 4202 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(3963(a,1),4172(a,1,1))]. 4204 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(4175(a,1),2947(a,1,3))]. 4205 R(x,K(y,z) * u,K(u,K(y,w))) != v5 | x = v5. [para(4204(a,1),46(a,2))]. 4206 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(4064(a,1),4176(a,1,2,2)),flip(a)]. 4207 T(x,T(T(y,z),z)) = T(x,y). [hyper(29,a,3329,a,b,4183,a(flip))]. 4208 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(4183(a,2),210(a,1,1,1))]. 4209 T(x,T(T(y,z),z)) = T(x,L(y,y \ 1,u)). [hyper(259,a,3343,a,b,4207,a),flip(a)]. 4210 T(x,(y * z) / y) = T(x,T(z,y)). [para(204(a,1),4207(a,1,2,1)),flip(a)]. 4211 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(220(a,1),4207(a,1,2,1))]. 4212 T(x,T(y * z,z)) = T(x,z * y). [para(708(a,1),4207(a,1,2,1))]. 4214 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(3075(a,1),4207(a,1,2,1))]. 4215 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(4207(a,1),3934(a,2,2))]. 4216 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(2534(a,1),4210(a,1,2,1)),flip(a)]. 4217 T(T(x,K(y,z)),y * z) = T(x,z * y). [hyper(58,a,3672,a,b,4212,a)]. 4218 T(x,T(y,z) * z) = T(x,z * y). [para(730(a,1),4212(a,1,2))]. 4219 L(x,y,T(z,y)) * (T(z,y) * y) = T(T(z,y) * (y * x),y * z). [hyper(845,a,4218,a)]. 4220 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(3128(a,2),4195(a,1,1))]. 4221 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(259,a,3963,a,b,4198,a),flip(a)]. 4222 T(x,T(y,z)) / T(x,y) = K(x,K(y,z)). [hyper(58,a,3585,a,b,4198,a)]. 4223 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [hyper(124,a,4202,a(flip),b,3585,a)]. 4224 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(4206(a,1),3985(a,1,1))]. 4225 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(58,a,3386,a(flip),b,4215,a)]. 4226 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,4215,a(flip),b,3386,a(flip))]. 4227 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(998(a,1),4215(a,1,1,2))]. 4228 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(3214(a,1),4215(a,1,1))]. 4230 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(465,a,4217,a)]. 4231 T((x * y) / z,y * x) = T(z \ (x * y),K(x,y)). [hyper(58,a,380,a(flip),b,4217,a),flip(a)]. 4232 K(x,K(y,z)) * T(z,x) = T(z,T(x,y)). [hyper(124,a,3966,a,b,4222,a)]. 4233 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [hyper(58,a,3323,a,b,4223,a)]. 4234 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,255,a(flip),b,4225,a)]. 4235 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(4225(a,1),268(a,1,1))]. 4237 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [para(1452(a,1),4225(a,1,1,2))]. 4238 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(1611,a,4233,a)]. 4239 (x \ y) \ T(y,K(x,z)) = T(x,T(y,z)). [hyper(120,a,4233,a(flip),b,3322,a(flip))]. 4240 T(x * K(T(y,z),x),y) = T(x,K(y,z)). [para(3191(a,2),4233(a,1,1,2))]. 4241 T(x,K(y,z)) * T(y,z) = T(y,z) * T(x,y). [hyper(124,a,4240,a(flip),b,1514,a(flip))]. 4242 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(4044(a,1),4050(a,1))]. 4243 K(T(x,y),z) != u | T(K(x,z),y) = u. [para(3191(a,2),4242(a,1))]. 4245 K(T(1 / x,y) \ 1,z) != u | T(K(x,z),y) = u. [para(2199(a,2),4243(a,1,1))]. 4247 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(4095(a,2),4131(a,1))]. 4248 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(3679(a,1),4132(a,1,2))]. 4249 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(3414(a,1),4153(a,1,2))]. 4250 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(3190(a,2),4156(a,1))]. 4251 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(193(a,1),4161(a,1,1))]. 4252 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(340(a,1),4161(a,1,1))]. 4253 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(9(a,2),4165(a,1,2,1))]. 4254 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(3222(a,1),4166(a,1))]. 4255 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3792(a,2),4166(a,1))]. 4256 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(3128(a,1),4168(a,1,2))]. 4257 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(3120(a,1),4168(a,1,2))]. 4260 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(4209(a,2),1703(a,1))]. 4261 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(105(a,1),4260(a,1,2,1))]. 4262 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(220(a,1),4260(a,1,2,1))]. 4263 T(x,L(y,y \ 1,z)) != u | T(x,y) = u. [para(4209(a,1),4260(a,1))]. 4265 T(x,y \ K(z,y \ 1)) != u | T(x,K(z,y \ 1) / y) = u. [para(2002(a,1),4261(a,1,2))]. 4266 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(3981(a,1),3679(a,1,2))]. 4267 K(x,T(y,z)) * (z / y) = z / T(y,x). [hyper(259,a,3588,a(flip),b,4074,a),flip(a)]. 4268 T(K(x,y),z) * (z / y) = z / T(y,x). [para(3190(a,1),4267(a,1,1))]. 4269 x / T(y,z) != u | K(z,T(y,x)) * (x / y) = u. [para(4268(a,1),3882(a,1))]. 4270 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(219(a,1),4076(a,1,2,1,1))]. 4271 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(1507(a,1),4079(a,1,2,1,1)),flip(a)]. 4272 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(4086(a,1),4073(a,1,1))]. 4274 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(2367(a,1),4089(a,1,2))]. 4275 (x * y) \ (K(T(z,y),x * y) * u) = ((x * y) * K(y * x,z)) \ u. [para(4108(a,2),3495(a,2,1))]. 4277 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(4132,a,4115,a)]. 4278 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(4066(a,1),4128(a,1,1,2))]. 4281 T(x,T(y / x,z)) != u | T(x,T(x \ y,z)) = u. [para(4211(a,1),1016(a,1))]. 4282 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(4238(a,1),1625(a,1,1))]. 4283 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(259,a,3386,a,b,4241,a),flip(a)]. 4284 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(3180(a,1),4283(a,1,1)),flip(a)]. 4285 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(259,a,4098,a(flip),b,4129,a),flip(a)]. 4286 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(105(a,1),4285(a,1,2,2)),flip(a)]. 4288 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(4134(a,2),4169(a,1))]. 4289 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(4(a,1),4255(a,1,2,1,2))]. 4292 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(3946(a,2),3882(a,1))]. 4293 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(3882,a,3952,a(flip)),flip(a)]. 4294 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(3942(a,1),3962(a,1,1))]. 4295 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(3986(a,1),3962(a,1,1))]. 4296 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(3990(a,1),3962(a,1,1))]. 4297 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [hyper(125,a,4294,a(flip),b,13,a(flip))]. 4299 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(58,a,4294,a(flip),b,4295,a),flip(a)]. 4300 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,4294,a(flip),b,4296,a)]. 4301 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(4299(a,1),3977(a,1))]. 4302 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4299(a,2),3977(a,1))]. 4303 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(259,a,4052,a,b,4300,a)]. 4304 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(265,a,4018,a(flip)),flip(a)]. 4305 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(318(a,1),4304(a,1,2,2,1))]. 4306 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [hyper(124,a,4305,a(flip),b,3047,a),flip(a)]. 4307 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) != v5 | z = v5. [para(4047(a,1),231(a,1,1))]. 4308 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(3679(a,1),4061(a,1,1,1,2))]. 4311 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(259,a,3944,a(flip),b,4171,a),flip(a)]. 4313 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(259,a,3947,a(flip),b,4173,a),flip(a)]. 4314 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(3048(a,1),4313(a,1,2))]. 4316 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(58,a,1605,a(flip),b,4192,a),flip(a)]. 4317 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(259,a,2494,a,b,4227,a),flip(a)]. 4319 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(4234(a,1),2974(a,1,1,1))]. 4320 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(58,a,4128,a(flip),b,4278,a),flip(a)]. 4321 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(4214(a,1),4320(a,1,2))]. 4322 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(250(a,1),4303(a,1,2,2)),flip(a)]. 4324 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(259,a,4311,a(flip),b,4314,a),flip(a)]. 4326 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(3516(a,1),4324(a,1,2))]. 4333 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [hyper(34,a,3503,a,b,2962,a)]. 4334 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(454(a,2),3069(a,1,2))]. 4335 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(58,a,3074,a(flip),b,3071,a)]. 4336 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(5(a,1),4335(a,2,1,1))]. 4337 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(5(a,1),4335(a,2,1,2))]. 4338 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(91(a,2),4335(a,2,1))]. 4339 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(3374(a,1),4335(a,1,1))]. 4340 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(3359,a,4338,a),flip(a)]. 4341 K((1 / x) * y,y) = K(x \ y,y). [para(611(a,1),4340(a,1,1))]. 4342 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(544(a,1),4340(a,1,1)),flip(a)]. 4343 K((1 / x) \ y,y) = K(x * y,y). [hyper(3747,a,4341,a),flip(a)]. 4344 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(1836,a,4343,a),flip(a)]. 4345 K((1 / x) \ y,y) = K(y * x,y). [hyper(259,a,1535,a(flip),b,4343,a),flip(a)]. 4346 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),4345(a,1,1,1)),flip(a)]. 4347 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(4346(a,1),1663(a,1,1,1,2))]. 4348 K(((x \ y) \ z) \ x,x) != u | K(z \ y,x) = u. [para(4342(a,2),3781(a,1))]. 4349 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(9(a,2),4336(a,2,1))]. 4355 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3640(a,1),1044(a,1))]. 4357 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4295(a,2),4301(a,1))]. 4358 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(4296(a,2),4301(a,1))]. 4359 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(3979(a,1),4302(a,1))]. 4360 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(4296(a,2),4302(a,1))]. 4361 (x * (y * T(y \ z,u))) \ (x * z) = K(u,L(y \ z,y,x)). [hyper(120,a,148,a(flip),b,4333,a)]. 4362 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(103(a,1),4333(a,1,1,2))]. 4363 K(x,L(y,x,z)) = K(x,y). [hyper(3153,a,4362,a),flip(a)]. 4365 (x * y) * K(y,L(z,y,u)) = x * T(y,z). [hyper(125,a,4363,a,b,2973,a)]. 4366 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(250(a,1),4363(a,1,2))]. 4367 K(x,(x \ 1) * y) = K(x,x \ y). [para(641(a,1),4363(a,1,2))]. 4368 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(4363(a,1),4300(a,1,2)),flip(a)]. 4369 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(1157(a,2),4367(a,1,2,1)),flip(a)]. 4370 K(x,(y * x) \ z) != u | K(x,y \ z) = u. [para(4366(a,2),1567(a,1))]. 4371 T(x,L(y,x,z)) = T(x,y). [hyper(2977,a,4365,a)]. 4372 K(x,(x * y) \ z) != u | K(x,y \ z) = u. [para(3699(a,1),4370(a,1))]. 4373 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [hyper(125,a,4337,a(flip),b,90,a),flip(a)]. 4374 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(1192(a,1),2930(a,2,2))]. 4375 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(4(a,1),3122(a,1,2,2))]. 4376 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(3148(a,2),4196(a,1))]. 4377 K(x,T(y,z)) * (y / x) = (y / x) * K(x,T(y,z)). [para(1649(a,1),3280(a,1,1)),flip(a)]. 4378 T(x,T(x / y,z)) / y = K(y,T(x,z)) * (x / y). [hyper(259,a,3916,a,b,4377,a)]. 4379 x * (T(y,T(y / x,z)) / x) = T(x,T(y,z)) * (y / x). [hyper(125,a,4378,a,b,3395,a)]. 4380 T(x * K(y,z),z * y) = (z * y) \ (x * (y * z)). [para(708(a,1),3281(a,1,2,2)),flip(a)]. 4381 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(222,a,4380,a)]. 4382 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(58,a,149,a(flip),b,4381,a),flip(a)]. 4384 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(5(a,1),4382(a,1,1,2))]. 4385 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(7(a,1),4382(a,1,1,2))]. 4386 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(4382(a,1),3683(a,1,2))]. 4387 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(1225,a,3389,a(flip)),flip(a)]. 4388 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(259,a,1017,a(flip),b,3390,a),flip(a)]. 4389 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(1189(a,1),3441(a,1,1))]. 4390 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(3522(a,2),3537(a,1))]. 4391 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(1473(a,1),3567(a,1,2,1))]. 4392 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(562,a,3615,a)]. 4393 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(1542(a,2),3630(a,2,2))]. 4394 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(1229(a,1),3630(a,1,2,2))]. 4395 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(259,a,20,a,b,3652,a),flip(a)]. 4396 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3482(a,1),3736(a,1,1))]. 4398 K(x,T(y,z * x)) * (T(y,x) \ u) = T(T(y,x),T(x,z)) \ u. [para(998(a,1),3815(a,2,1,2))]. 4399 T(x,T((y \ z) \ x,u)) = T(x,T(z \ y,u)). [hyper(34,a,3643,a,b,3816,a(flip))]. 4400 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [hyper(58,a,3325,a,b,4399,a)]. 4401 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(58,a,3284,a(flip),b,4400,a)]. 4402 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(58,a,2842,a,b,3835,a),flip(a)]. 4403 ((x \ y) * x) \ ((x \ y) * (z * (z \ u))) = y \ ((y / x) * u). [para(709(a,1),3836(a,1,1))]. 4404 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [para(1951(a,1),3842(a,1,1,1))]. 4406 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(20(a,2),4404(a,2,2))]. 4409 T(x,K(y,T(z,u))) * K(u,x) = T(x * K(u,x),K(y,z)). [para(4065(a,1),3915(a,1,2)),flip(a)]. 4410 K(x,K(y,K(x,z) * u)) * (K(x,w) * u) = K(x,w) * T(u,K(x,y)). [para(4177(a,2),3935(a,1,1))]. 4411 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(2871(a,1),3995(a,1,2)),flip(a)]. 4412 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(209(a,1),4118(a,1,2))]. 4413 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3098(a,2),4119(a,1,2,2))]. 4414 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(1500(a,1),4121(a,1,1,1,2))]. 4415 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(3994,a,4224,a),flip(a)]. 4416 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(2871(a,1),4415(a,2,2))]. 4417 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(259,a,4098,a(flip),b,4272,a),flip(a)]. 4419 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [para(1403(a,2),4417(a,1,1,1))]. 4421 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(259,a,3632,a(flip),b,4344,a),flip(a)]. 4422 K(x,y \ x) != z | K(((1 / y) * x) * y,(1 / y) * x) = z. [para(4421(a,1),1585(a,1))]. 4423 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1507(a,1),4395(a,2,1))]. 4424 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(3067,a,4396,a),flip(a)]. 4425 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3482(a,1),4424(a,1,1))]. 4426 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(4425(a,1),728(a,1,1))]. 4429 T(x * K(y,x),K(z,u)) != w * K(y,x) | T(x,K(z,T(u,y))) = w. [para(4409(a,1),39(a,1))]. 4430 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(135,a,4414,a)]. 4431 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(58,a,4417,a(flip),b,4419,a)]. 4432 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(58,a,4054,a,b,4431,a)]. 4433 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [hyper(184,a,4430,a(flip),b,3482,a)]. 4434 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(4430(a,1),3499(a,1,2))]. 4435 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(1860(a,1),4433(a,1,2,1,2,2))]. 4436 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(3756(a,1),4433(a,1,2,1,2,2))]. 4437 L(K(x,y),z * x,u) = K(L(x,z,u),y). [hyper(58,a,2962,a(flip),b,2976,a),flip(a)]. 4438 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(3711,a,4437,a),flip(a)]. 4439 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(7(a,1),4437(a,1,2)),flip(a)]. 4440 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(4437(a,1),3359(a,1))]. 4441 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(4158,a,4439,a),flip(a)]. 4442 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(259,a,13,a(flip),b,4439,a),flip(a)]. 4443 L(K(x,y),z,T(x,u)) = K(x,y). [para(681(a,1),4439(a,1,1)),flip(a)]. 4444 L(K(x,y),z,x \ 1) = K(x,y). [para(2774(a,1),4439(a,1,1)),flip(a)]. 4445 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(4439(a,1),3027(a,1,1)),flip(a)]. 4446 L(K(x,y),z,K(x,u)) = K(x,y). [para(3611(a,1),4439(a,1,1)),flip(a)]. 4447 L(K(x,y),z,K(u,x)) = K(x,y). [para(3614(a,1),4439(a,1,1)),flip(a)]. 4448 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(4439(a,1),3922(a,1,2,1)),flip(a)]. 4449 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [hyper(125,a,4443,a(flip),b,2801,a(flip))]. 4450 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(125,a,4444,a(flip),b,2801,a(flip))]. 4451 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(125,a,4446,a(flip),b,2801,a(flip))]. 4452 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(4446(a,1),20(a,2,1))]. 4453 K(L(x,K(y,z),u),y) = K(x,y). [hyper(259,a,3707,a(flip),b,4438,a),flip(a)]. 4455 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(250(a,1),4453(a,1,1))]. 4456 T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)). [hyper(216,a,4449,a,b,3384,a)]. 4458 R(x \ 1,y,K(x,z)) = x \ 1. [hyper(562,a,4450,a)]. 4459 R(x \ 1,y,K(z,x)) = x \ 1. [para(1447(a,1),4458(a,1,3))]. 4460 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,4459,a(flip),b,15,a(flip)),flip(a)]. 4461 T(K(x,T(y,z)) * u,K(x,y)) = K(x,K(y,z)) * (u * K(x,y)). [hyper(216,a,4451,a,b,4293,a)]. 4463 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(259,a,3709,a(flip),b,4455,a),flip(a)]. 4465 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(1447(a,1),4463(a,1,1,1,2))]. 4466 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(4073(a,1),4463(a,1,1,1,2))]. 4467 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(3172(a,1),4465(a,1,1,1))]. 4468 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(4465(a,1),3503(a,1,1,2)),flip(a)]. 4469 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(91(a,2),4467(a,1,1))]. 4470 L(K(x,y),z,y \ 1) = K(x,y). [hyper(2809,a,4460,a)]. 4471 K(L(x,y,z \ 1),z) = K(x,z). [hyper(58,a,4437,a(flip),b,4470,a)]. 4472 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(549(a,1),4471(a,1,1))]. 4473 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(259,a,3503,a(flip),b,4468,a),flip(a)]. 4474 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(1607(a,1),4473(a,1,2,1))]. 4475 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(3532(a,1),4473(a,1,2,1)),flip(a)]. 4476 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(70(a,1),4474(a,1,2,1)),flip(a)]. 4477 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(125,a,4475,a(flip),b,1408,a(flip)),flip(a)]. 4478 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(9(a,2),4475(a,1,2)),flip(a)]. 4479 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(259,a,1409,a,b,4477,a),flip(a)]. 4480 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(1447(a,1),4479(a,1,2,1,1))]. 4481 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(125,a,1815,a(flip),b,4442,a(flip))]. 4482 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(4442(a,2),542(a,1))]. 4483 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(627,a,4481,a)]. 4484 R(x,y,K(x,z)) = x. [hyper(562,a,4481,a)]. 4485 (x * K(T(x,y),z)) * K(x,y) = T(T(x,y),z). [hyper(259,a,3799,a(flip),b,4481,a),flip(a)]. 4487 a(x,y,K(x,z)) = 1. [hyper(119,a,4481,a(flip),b,76,a),flip(a)]. 4488 R(x,y,K(T(x,z),u)) = x. [hyper(140,a,4484,a(flip))]. 4490 R(x,y,K(z,x)) = x. [para(1447(a,1),4484(a,1,3))]. 4491 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(4484(a,1),470(a,1,1,1)),flip(a)]. 4492 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(4484(a,1),478(a,1,1,1)),flip(a)]. 4493 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(4484(a,1),2075(a,1,1,3,2))]. 4494 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,4490,a(flip),b,15,a(flip)),flip(a)]. 4495 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(4490(a,1),479(a,1,1,1)),flip(a)]. 4496 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(4490(a,1),478(a,1,1,1)),flip(a)]. 4497 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [hyper(124,a,4488,a(flip),b,15,a(flip)),flip(a)]. 4498 L(K(x,y),z,y) = K(x,y). [hyper(2809,a,4494,a)]. 4499 K(L(x,y,z),z) = K(x,z). [hyper(58,a,4437,a(flip),b,4498,a)]. 4500 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(58,a,4337,a(flip),b,4498,a)]. 4501 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(58,a,4336,a(flip),b,4498,a),flip(a)]. 4502 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),4499(a,1,1))]. 4503 T(x * K(y,x),L(y,z,x)) = x. [para(4499(a,1),1507(a,1,1,2))]. 4504 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(4499(a,1),4098(a,1,1,2)),flip(a)]. 4505 T(x,L(y,z,x)) = T(x,y). [para(4503(a,1),1512(a,1,1)),flip(a)]. 4506 T(x,L(y,z,x)) = x * K(x,y). [hyper(259,a,1409,a(flip),b,4505,a),flip(a)]. 4507 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(250(a,1),4505(a,1,2))]. 4508 K(x,L(y,z,x)) = K(x,y). [hyper(1426,a,4506,a)]. 4509 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),4508(a,1,2))]. 4510 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(250(a,1),4508(a,1,2))]. 4511 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(544(a,1),4508(a,1,2)),flip(a)]. 4512 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(1088(a,1),4508(a,1,2)),flip(a)]. 4513 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(4508(a,1),4437(a,1,1)),flip(a)]. 4514 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(58,a,2408,a,b,4500,a)]. 4515 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(5(a,1),4500(a,1,1,1)),flip(a)]. 4516 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(2259(a,1),4500(a,1,1,1)),flip(a)]. 4517 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(259,a,3756,a,b,4501,a),flip(a)]. 4518 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(4501(a,1),4337(a,1,1))]. 4519 K(x,y \ (x \ z)) = K(x,y \ z). [hyper(4372,a,4510,a),flip(a)]. 4520 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(3357,a,4510,a)]. 4521 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(58,a,3699,a,b,4510,a)]. 4522 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(4510(a,1),3370(a,2,2))]. 4523 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(1575,a,4519,a)]. 4524 K(x,y \ (x * z)) = K(x,y \ z). [para(4(a,1),4519(a,1,2,2)),flip(a)]. 4525 K(x,y \ (z * x)) = K(x,y \ z). [hyper(58,a,3717,a,b,4524,a)]. 4526 K(x,y \ (z * x)) = K(z \ y,x). [hyper(259,a,2985,a,b,4525,a),flip(a)]. 4527 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(259,a,1388,a,b,4525,a),flip(a)]. 4528 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(4525(a,2),1575(a,1))]. 4529 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [hyper(259,a,1525,a,b,4526,a)]. 4530 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(4526(a,2),4016(a,1,2))]. 4531 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(3834,a,4511,a)]. 4532 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(3161,a,4515,a)]. 4533 K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. [para(4517(a,2),3781(a,1))]. 4534 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [hyper(259,a,3503,a,b,4521,a)]. 4535 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(4521(a,1),2899(a,1,1))]. 4536 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(58,a,2431,a(flip),b,4523,a),flip(a)]. 4537 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(259,a,4527,a(flip),b,4529,a),flip(a)]. 4538 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(4(a,1),4529(a,1,2,1)),flip(a)]. 4539 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(259,a,3717,a,b,4531,a),flip(a)]. 4540 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(2144(a,1),4532(a,1,1,2,1)),flip(a)]. 4541 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(5(a,1),4538(a,1,2,2))]. 4542 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(259,a,4098,a(flip),b,4504,a),flip(a)]. 4543 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(544(a,1),4542(a,1,2,2)),flip(a)]. 4544 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3526,a,4485,a)]. 4545 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(4514(a,1),2834(a,2,1))]. 4546 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(2436(a,1),4530(a,1,2,2))]. 4547 K(L(x,y / T(x,y),z),u) != w | L(K(x,u),T(y,x),z) = w. [para(774(a,1),4482(a,1,1,2))]. 4548 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(2325(a,1),4528(a,1,2))]. 4550 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(4(a,1),4533(a,1,1,1))]. 4552 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(4497(a,1),38(a,1)),flip(a)]. 4553 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(4166,a,4512,a),flip(a)]. 4554 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(58,a,1688,a(flip),b,4522,a),flip(a)]. 4555 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(58,a,1164,a(flip),b,4522,a),flip(a)]. 4556 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(118,a,4522,a(flip),b,1164,a(flip)),flip(a)]. 4558 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(4556(a,1),2590(a,2,2))]. 4559 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(34,a,3529,a,b,4534,a)]. 4560 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(4541(a,1),3261(a,1,1))]. 4561 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(1141(a,1),4543(a,1,2,2)),flip(a)]. 4562 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(4073(a,1),4441(a,1,1)),flip(a)]. 4563 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(176(a,1),4562(a,1,1,2)),flip(a)]. 4564 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(228(a,1),4562(a,1,1,2))]. 4566 K(L(x,x \ 1,y),z) = K(x,z). [hyper(259,a,398,a(flip),b,4564,a),flip(a)]. 4567 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(2205(a,2),4564(a,1,1,2))]. 4568 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(4158,a,4566,a),flip(a)]. 4569 K(R(x,x \ 1,y),z) = K(x,z). [para(860(a,2),4566(a,1,1))]. 4570 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(259,a,4363,a(flip),b,4569,a),flip(a)]. 4571 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(4568(a,1),4154(a,1))]. 4573 L(K(x,y),K(z,x),u) = K(x,y). [hyper(4571,a,4567,a),flip(a)]. 4574 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(125,a,4573,a(flip),b,13,a(flip))]. 4576 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(4573(a,1),483(a,1,2,1))]. 4577 R(x,K(y,z),K(z,u)) = x. [hyper(562,a,4574,a)]. 4578 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(3182(a,2),4574(a,2,2))]. 4579 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2871(a,1),4577(a,1,2))]. 4580 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(4577(a,1),2874(a,1,1,1))]. 4581 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(4579(a,1),555(a,1,1))]. 4582 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(4579(a,1),573(a,1,1))]. 4583 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(2809,a,4491,a)]. 4584 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(4492(a,1),3537(a,1,1))]. 4585 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(2809,a,4496,a)]. 4586 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(578,a,4496,a),flip(a)]. 4587 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(58,a,4563,a(flip),b,4585,a)]. 4588 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(1806(a,1),4587(a,1,1))]. 4589 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(315(a,1),4535(a,1,1,2,2)),flip(a)]. 4590 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(3159,a,4559,a)]. 4591 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(4590(a,2),3779(a,1))]. 4592 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(3761(a,1),4591(a,1))]. 4593 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(553(a,2),2988(a,1,2))]. 4595 L(x \ 1,x,y * T(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(3099(a,2),1893(a,1))]. 4597 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(1768(a,1),3203(a,1,2,2,2)),flip(a)]. 4598 x / T(x / y,z) != u | x * T(y / x,z) = u. [para(3587(a,1),3339(a,1))]. 4599 T(K(x,y) * z,y \ x) != u | y * T(z / y,x) = u. [para(3936(a,2),4598(a,1))]. 4600 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(3351,a,3586,a(flip)),flip(a)]. 4601 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4600(a,1),1877(a,1,2,1,2))]. 4602 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(565,a,3364,a),flip(a)]. 4603 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(3997(a,1),4602(a,1,3)),flip(a)]. 4604 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(3385(a,1),547(a,1,1))]. 4605 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(3735,a,4495,a),flip(a)]. 4606 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(1618(a,2),4605(a,1,2))]. 4607 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2417(a,1),4606(a,1,2)),flip(a)]. 4608 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(259,a,2406,a,b,3864,a),flip(a)]. 4610 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(4265,a,4193,a)]. 4611 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(1426,a,4610,a)]. 4612 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(3319(a,1),4611(a,1,2,1)),flip(a)]. 4615 K(x,K(y,z)) * (K(x,x \ y) * u) != w | K(x,T(x \ y,z)) * u = w. [para(4039(a,1),4292(a,1,1))]. 4616 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4307,a,1168,a),flip(a)]. 4617 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(4616(a,1),1625(a,1))]. 4618 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(318(a,2),4334(a,1,2,1,1))]. 4619 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(1500(a,2),4376(a,1,2,1))]. 4621 K(x,y \ (z * x)) != u | K(((1 / (z \ y)) * x) * (z \ y),(1 / (z \ y)) * x) = u. [para(4529(a,1),4422(a,1))]. 4622 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(651(a,1),4478(a,1,2))]. 4623 K(x,a(K(x,y),z,u)) = 1. [hyper(58,a,3202,a(flip),b,4622,a),flip(a)]. 4625 T(x,a(K(x,y),z,u)) = x. [hyper(51,a,4623,a)]. 4626 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(49,a,4625,a)]. 4627 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(4625(a,1),18(a,1,1)),flip(a)]. 4628 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(4625(a,1),3172(a,1,2,1)),flip(a)]. 4629 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(4627(a,1),2274(a,1,2))]. 4630 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(4626(a,1),3172(a,1,2,1)),flip(a)]. 4631 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(4547,a,4562,a)]. 4632 L(K(x,y * x),T(y,x),z) = K(x,y * x). [hyper(259,a,2960,a(flip),b,4631,a),flip(a)]. 4633 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(1480(a,1),4632(a,1,1))]. 4634 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2472(a,2),4633(a,1,1))]. 4635 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(1823(a,2),4634(a,1,1))]. 4636 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(3103(a,2),4595(a,1))]. 4639 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [hyper(4619,a,xx),flip(a)]. 4640 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(3445(a,1),4639(a,1,2))]. 4642 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(2528(a,2),4635(a,1,1))]. 4643 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(3164(a,1),3089(a,1,1,2)),flip(a)]. 4644 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(2976(a,1),3096(a,1))]. 4645 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(4513(a,2),4644(a,1))]. 4646 (x \ y) \ T(y,K(x \ y,z)) = T(x,y * K(x \ y,z)). [hyper(58,a,3381,a(flip),b,3155,a)]. 4647 (x \ y) \ T(y,K(z,x \ y)) = T(x,y * K(x \ y,z)). [para(4020(a,1),4646(a,1,2))]. 4648 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(3234(a,2),3795(a,1))]. 4651 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(3348,a,3086,a),flip(a)]. 4652 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),4651(a,2,2,1))]. 4653 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),4651(a,1,1,2)),flip(a)]. 4654 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(752(a,1),4651(a,1,1,2))]. 4655 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(96(a,2),4653(a,1,2))]. 4656 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),4655(a,1,2,2)),flip(a)]. 4657 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(174(a,1),4655(a,1,2,2)),flip(a)]. 4658 K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). [para(3415(a,1),4655(a,1,2,2))]. 4659 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(58,a,4392,a(flip),b,4656,a),flip(a)]. 4660 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(58,a,3923,a(flip),b,4656,a),flip(a)]. 4661 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(4656(a,1),22(a,2,1))]. 4662 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(4656(a,1),3744(a,1,2,1))]. 4663 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(125,a,4660,a(flip),b,1408,a(flip)),flip(a)]. 4664 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(1096(a,1),4659(a,1,2))]. 4665 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(3486(a,1),4662(a,1,2))]. 4666 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(259,a,1409,a,b,4663,a),flip(a)]. 4667 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(1096(a,1),4666(a,1,2))]. 4668 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(259,a,3190,a,b,4661,a),flip(a)]. 4669 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(22(a,2),4665(a,1,2,1))]. 4670 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(1885(a,1),4665(a,1,2)),flip(a)]. 4671 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(22(a,2),4668(a,2,2))]. 4672 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(3190(a,2),4671(a,1,1))]. 4673 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(5(a,1),4672(a,1,2)),flip(a)]. 4674 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(1507(a,1),4672(a,1,1,2))]. 4675 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(259,a,405,a(flip),b,4673,a),flip(a)]. 4676 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). [para(1507(a,1),4673(a,1,2,1)),flip(a)]. 4677 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(259,a,3190,a(flip),b,4675,a),flip(a)]. 4678 T(x,T(y / x,z)) = T(x,T(y,z)). [hyper(30,a,4379,a(flip),b,3450,a),flip(a)]. 4680 T(x,T(x \ y,z)) = T(x,T(y,z)). [hyper(4281,a,4678,a)]. 4681 T(x,y * K(x \ y,z)) = T(x,T(y,z)). [hyper(1800,a,4680,a)]. 4682 T(x,T(x * y,z)) = T(x,T(y,z)). [para(4(a,1),4680(a,1,2,1)),flip(a)]. 4684 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(259,a,3325,a(flip),b,4682,a),flip(a)]. 4685 T(x,y * K(x \ y,z)) = (x \ y) \ T(y,K(x,z)). [hyper(259,a,4239,a,b,4681,a),flip(a)]. 4686 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(120,a,4684,a(flip),b,1409,a(flip)),flip(a)]. 4687 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(33,a,4647,a,b,4685,a(flip))]. 4691 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(120,a,4687,a(flip),b,3500,a)]. 4693 K(x,T(x * (y \ 1),z)) != u | K(x,T(y \ x,z)) = u. [para(4686(a,2),1427(a,1))]. 4695 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(933(a,1),4691(a,1,1,1,1))]. 4696 K(x,T((y \ 1) * x,z)) != u | K(x,T(y \ x,z)) = u. [para(1481(a,2),4693(a,1))]. 4697 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [hyper(3526,a,3539,a)]. 4698 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(58,a,4361,a(flip),b,3634,a)]. 4699 K(x,L(y \ L(y,z,u),y,w)) = K(x,w \ ((w / y) * L(y,z,u))). [para(2693(a,1),4698(a,2,2))]. 4700 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(4130(a,1),3732(a,2,1))]. 4701 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(259,a,3368,a(flip),b,4700,a),flip(a)]. 4702 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3722(a,1),4701(a,1,1)),flip(a)]. 4703 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(315(a,1),4702(a,1,1,2)),flip(a)]. 4704 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(259,a,2957,a(flip),b,3796,a),flip(a)]. 4705 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(3264,a,4704,a(flip)),flip(a)]. 4706 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(4(a,1),4705(a,2,2))]. 4707 T((x / y) \ z,K(x / y,y)) = ((y \ x) \ z) * K(x,y). [para(1532(a,1),3797(a,2,2))]. 4708 T((x / y) \ z,K(x,y)) = ((y \ x) \ z) * K(x,y). [para(1532(a,1),4707(a,1,2))]. 4709 K(x,y) * ((y \ x) \ z) = (x / y) \ z. [hyper(729,a,4708,a)]. 4711 K(x,y) * (((L(x,z,u) * y) \ x) \ w) = (x / (L(x,z,u) * y)) \ w. [para(2470(a,1),4709(a,1,1))]. 4712 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(4709(a,1),4662(a,1,2))]. 4713 T(K(x,y) * (T(y,x) / z),y) = (K(y,x) * z) \ T(y,x). [para(1410(a,2),3843(a,2,1,1))]. 4714 (K(x,y) * z) \ T(x,y) = (z \ T(x,y)) * K(y,x). [hyper(58,a,3860,a(flip),b,4713,a),flip(a)]. 4715 (x \ T(y,z)) * K(z,y) != u | L(x \ y,x,K(y,z)) = u. [para(4714(a,1),1442(a,1))]. 4716 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(259,a,491,a(flip),b,3847,a),flip(a)]. 4717 T(K(x,y / x) * z,y / x) = T(z,x \ y) * K(x,y). [para(1483(a,1),3859(a,2,2))]. 4718 T(x,y \ z) * K(y,z) = K(y,z) * T(x,z / y). [hyper(58,a,3841,a(flip),b,4717,a),flip(a)]. 4719 T(K(x,y) * z,y \ x) = T(z * K(x,y),x / y). [hyper(30,a,3278,a,b,4718,a),flip(a)]. 4720 T(T(x,K(y,z)),y / z) = T(x,z \ y). [hyper(30,a,3059,a,b,4718,a)]. 4722 T(x * K(y,z),y / z) = z * T(x / z,y). [hyper(4599,a,4719,a),flip(a)]. 4723 T(x * T(y,z \ y),z / y) = y * T((x * y) / y,z). [para(2938(a,1),4722(a,1,1))]. 4724 T(x * T(y,z \ y),z / y) = y * T(x,z). [para(6(a,1),4723(a,2,2,1))]. 4725 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(259,a,1839,a,b,3906,a),flip(a)]. 4726 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(259,a,3314,a,b,3918,a),flip(a)]. 4727 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(3966(a,2),3983(a,2,2,1))]. 4728 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(4071(a,1),4112(a,1,1)),flip(a)]. 4729 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(4728(a,1),281(a,1))]. 4730 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(4729,a,3320,a),flip(a)]. 4731 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(2156(a,1),4730(a,1,2))]. 4732 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(3087(a,1),4731(a,2,2))]. 4733 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(259,a,4385,a(flip),b,4732,a),flip(a)]. 4734 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(178,a,4733,a),flip(a)]. 4735 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(4734(a,2),1760(a,2,1))]. 4736 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(216,a,4306,a,b,xx)]. 4738 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(4736(a,1),2380(a,2,1))]. 4739 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(4373(a,2),3537(a,1,1))]. 4740 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(60(a,1),4375(a,2,2))]. 4741 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). [para(4740(a,1),1405(a,1,1))]. 4742 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(4740(a,1),3705(a,1,1)),flip(a)]. 4743 K(R(x,y,x),R(x,y,x) * z) * T(x * L(z,u,w),x) = L(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(851(a,1),4387(a,1,2))]. 4744 K(R(x,y,x),R(x,y,x) * z) * T(x * R(z,u,w),x) = R(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(851(a,1),4388(a,1,2))]. 4745 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(30,a,3815,a,b,4398,a),flip(a)]. 4746 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(259,a,1815,a,b,4745,a)]. 4747 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(4155,a,4746,a)]. 4749 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(259,a,4277,a,b,4747,a),flip(a)]. 4750 K(T(x * y,y) / x,z) = K(y,z). [hyper(4571,a,4749,a),flip(a)]. 4752 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(5(a,1),4750(a,1,1,1,1))]. 4753 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(542,a,4403,a)]. 4754 L(x \ (y \ z),x,x \ z) = (y * x) \ z. [hyper(259,a,113,a(flip),b,4753,a),flip(a)]. 4755 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [para(4(a,1),4753(a,1,1)),flip(a)]. 4756 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [para(4754(a,1),4508(a,1,2))]. 4757 L(x,y,z / y) = L(x,y,y \ z). [hyper(1087,a,4755,a)]. 4758 x * L(y,z,z \ x) = (x / z) * (z * y). [hyper(136,a,4755,a)]. 4759 x / L(y,z,z \ x) = (x / (z * y)) * z. [hyper(184,a,4755,a(flip),b,654,a)]. 4760 (x / y) \ (x * L(z,y,y \ x)) = y * z. [para(4755(a,1),65(a,1,2,2))]. 4762 (x / y) * L(y,z,z \ x) = ((x / z) * (z * y)) / y. [para(4757(a,1),2451(a,1,2))]. 4763 ((x * y) / x) * (x * z) = (x * y) * L(z,x,y). [para(4(a,1),4758(a,1,2,3)),flip(a)]. 4764 L(x,y,y \ x) \ x = (x / (y * x)) * y. [hyper(444,a,4759,a)]. 4765 (x / y) \ (x * L(L(y \ 1,y,x),z,u)) = y * L(y \ 1,z,u). [para(2586(a,1),4760(a,1,2,2))]. 4766 L(x,y,y \ x) \ x = (x \ (x / y)) * y. [para(789(a,1),4764(a,2,1))]. 4767 L(x,y,y \ x) \ x = y * (x \ (x / y)). [hyper(259,a,2096,a(flip),b,4766,a),flip(a)]. 4769 (x * (y \ (y / x))) \ y = L(y,x,x \ y). [para(4767(a,1),343(a,1,1))]. 4770 (x * (y \ (y / x))) \ 1 = y \ L(y,x,x \ y). [para(4767(a,1),2318(a,1,1))]. 4771 x \ ((x * y) * (y \ x)) = L(x,y,y \ x). [hyper(58,a,896,a(flip),b,4769,a)]. 4772 x \ L(x,y,y \ x) = a(x,y,y \ x). [hyper(120,a,4771,a(flip),b,2593,a(flip))]. 4773 a(x,y,y \ x) * x = L(x,y,y \ x). [hyper(124,a,4772,a(flip),b,371,a)]. 4774 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(58,a,3623,a(flip),b,4763,a),flip(a)]. 4775 L(x,x,y) * (x * y) = y * (T(x,y) * T(x,y)). [hyper(1222,a,4774,a)]. 4776 L(x,T(y,z),z) = L(x,y,z). [hyper(1120,a,4774,a)]. 4777 ((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z. [hyper(123,a,4774,a(flip),b,2447,a),flip(a)]. 4778 L(x,L(T(y,z),u,w),z) = L(x,L(y,u,w),z). [para(20(a,2),4776(a,1,2))]. 4779 L(x,y / z,z) = L(x,z \ y,z). [para(105(a,1),4776(a,1,2)),flip(a)]. 4780 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(4776(a,1),2668(a,1,1,1))]. 4781 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4776(a,2),4340(a,1,1))]. 4782 L(L(T(x,y),z,u) \ T(w,y),L(x,z,u),y) = (y * L(T(x,y),z,u)) \ (w * y). [hyper(58,a,549,a(flip),b,4778,a),flip(a)]. 4784 (x * (y \ (y / x))) \ 1 = a(y,x,x \ y). [hyper(259,a,4772,a(flip),b,4770,a),flip(a)]. 4786 (x \ (x / y)) \ (y \ 1) = a(x,y,y \ x). [hyper(1753,a,4784,a)]. 4787 a(x,y,y \ x) \ 1 = y * (x \ (x / y)). [hyper(322,a,4784,a)]. 4788 (x * y) \ L(x * y,y,x) = a(x,y,y \ x). [hyper(58,a,2322,a,b,4784,a)]. 4790 a(x,y,y \ 1) = a(x,y,y \ x). [hyper(58,a,2790,a(flip),b,4786,a)]. 4791 a(x,y,y \ x) \ 1 = a(y,y \ 1,x). [para(4790(a,1),2770(a,1,1))]. 4792 a(x,y,y \ 1) * x = L(x,y,y \ x). [para(4790(a,2),4773(a,1,1))]. 4793 L(x,y,y \ 1) = L(x,y,y \ x). [hyper(2040,a,4792,a)]. 4794 L(x * y,x,x \ 1) = L(x * y,x,y). [para(4(a,1),4793(a,2,3))]. 4795 x \ L(x * y,x,x \ 1) = L(y * x,x,y) / x. [para(4794(a,2),941(a,2,2)),flip(a)]. 4796 x * (y \ (y / x)) = a(x,x \ 1,y). [hyper(58,a,4791,a(flip),b,4787,a),flip(a)]. 4797 a(x \ 1,(x \ 1) \ 1,y) = x \ L(x,x \ 1,y). [hyper(2346,a,4796,a),flip(a)]. 4798 (x \ (x / y)) * y = a(y,y \ 1,x). [hyper(2097,a,4796,a)]. 4799 x * L(x \ 1,x,y) = a(x,x \ 1,y). [hyper(58,a,449,a,b,4796,a)]. 4801 L(x * y,y,y \ 1) = L(x * y,y,x). [hyper(1162,a,4795,a)]. 4802 x \ L(x,x \ 1,y) = a(x \ 1,x,y). [hyper(58,a,2853,a(flip),b,4797,a),flip(a)]. 4803 x \ L(x,x \ 1,y) = a(x,x \ 1,y). [hyper(259,a,2769,a(flip),b,4802,a),flip(a)]. 4804 x \ L(x,x \ 1,y \ 1) = a(y,x,x \ 1). [hyper(259,a,2341,a(flip),b,4803,a),flip(a)]. 4805 x \ L(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. [para(4803(a,2),2343(a,1))]. 4806 (x \ (x / y)) \ (y \ 1) = y \ L(y,y \ 1,x \ 1). [hyper(259,a,2790,a,b,4804,a)]. 4808 (x \ (x / y)) \ (y \ 1) != z | a(x,y,y \ 1) = z. [para(4806(a,2),4805(a,1))]. 4809 a(x,y,y \ x) != z | a(x,y,y \ 1) = z. [para(4786(a,1),4808(a,1))]. 4812 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(4545(a,1),3925(a,1,2)),flip(a)]. 4813 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(4546(a,2),4145(a,1))]. 4814 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(29,a,4555,a,b,4558,a(flip))]. 4816 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(4814(a,1),3503(a,1,1,2)),flip(a)]. 4817 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(259,a,3503,a(flip),b,4816,a),flip(a)]. 4818 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(5(a,1),4817(a,1,1,1)),flip(a)]. 4819 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(4550,a,4818,a)]. 4820 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(4818(a,1),2206(a,2,2,2)),flip(a)]. 4821 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(2210,a,4820,a),flip(a)]. 4822 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(58,a,4507,a,b,4821,a)]. 4823 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(3518,a,4643,a)]. 4824 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(4(a,1),4697(a,1,1,2,1)),flip(a)]. 4825 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(3749,a,4725,a)]. 4826 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(279,a,4727,a),flip(a)]. 4827 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(318(a,1),4742(a,1,1,1))]. 4828 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(4812(a,2),3499(a,1))]. 4830 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(2437(a,1),4823(a,1,1,2))]. 4831 K(x * (K(y,z) * u),z) = K(x * u,z). [para(4823(a,1),3707(a,1,1)),flip(a)]. 4832 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(4823(a,1),3694(a,1,2)),flip(a)]. 4833 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(4823(a,1),4475(a,1,2,1)),flip(a)]. 4834 K(x * (K(y,z) * u),y) = K(x * u,y). [para(1445(a,1),4831(a,1,1,2,1))]. 4835 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(3474(a,1),4831(a,1,1,2)),flip(a)]. 4836 K(x * (y * K(z,u)),u) = K(x * y,u). [para(4046(a,1),4831(a,1,1,2))]. 4837 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(4834(a,1),1661(a,1,2,1,2)),flip(a)]. 4838 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(4834(a,1),1662(a,1,2,1,2)),flip(a)]. 4839 K(x * (y * K(z,u)),z) = K(x * y,z). [para(4045(a,1),4834(a,1,1,2))]. 4840 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(4836(a,1),4433(a,1,2,1,2,2)),flip(a)]. 4841 K(x * (K(y,z) * u),y) = K(x * (u * K(y,w)),y). [hyper(259,a,4834,a,b,4839,a)]. 4842 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(1445(a,1),4832(a,1,2,2,1))]. 4843 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(1951(a,1),4832(a,1,2,2,1))]. 4844 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(1435(a,1),4843(a,1,2,2)),flip(a)]. 4845 K(x,y * (z * K(u,x))) = K(x,y * z). [para(4064(a,1),4843(a,1,2,2)),flip(a)]. 4847 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(4384(a,1),4845(a,1,2,2))]. 4849 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(4267(a,1),4842(a,1,2,2))]. 4850 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(3800(a,1),4849(a,1,2,2)),flip(a)]. 4851 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(4073(a,1),4830(a,1,1))]. 4852 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(30,a,4415,a(flip),b,4824,a(flip))]. 4854 K(x,y) * T(T(z,K(x,y)),K(x,u)) = T(z * K(x,y),K(x,u)). [para(103(a,1),4852(a,1,1)),flip(a)]. 4855 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(3966(a,1),4852(a,2,1))]. 4856 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(4825(a,1),1502(a,2,2))]. 4857 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(3966(a,2),4826(a,1,2,1))]. 4858 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(259,a,1838,a(flip),b,4827,a),flip(a)]. 4860 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(433,a,4854,a),flip(a)]. 4861 T((K(x,y) * z) * K(x,u),K(x,y)) = (z * K(x,y)) * K(x,u). [para(708(a,1),4860(a,2,1))]. 4862 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [para(4860(a,1),4028(a,1,2))]. 4863 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(3966(a,1),4855(a,1,1,1))]. 4864 T(K(x,y) * (z * K(x,u)),K(x,y)) = (z * K(x,y)) * K(x,u). [para(4451(a,1),4861(a,1,1))]. 4865 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [hyper(124,a,4864,a(flip),b,3494,a(flip))]. 4866 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(3517(a,1),4865(a,1,1,1))]. 4867 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(259,a,4578,a(flip),b,4866,a),flip(a)]. 4868 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(259,a,4574,a(flip),b,4866,a),flip(a)]. 4869 R(x,K(y,z),K(u,y)) = x. [hyper(562,a,4867,a)]. 4870 L(K(x,y),K(y,z),u) = K(x,y). [hyper(540,a,4867,a)]. 4871 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(58,a,4862,a,b,4867,a)]. 4872 R(x,K(y,z),K(u,y)) != w | x = w. [para(4869(a,1),46(a,2))]. 4873 L(K(x,y),K(z,y),u) = K(x,y). [para(1447(a,1),4870(a,1,2))]. 4874 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(125,a,4873,a(flip),b,13,a(flip))]. 4875 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(4045(a,1),3493(a,1,1,3)),flip(a)]. 4876 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(3884,a,4237,a),flip(a)]. 4877 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(4876(a,1),3767(a,1,2,1))]. 4878 R(K(x,y \ 1),z,u) != w | K(x,R(y,z,u) \ 1) = w. [para(2900(a,1),3885(a,1))]. 4881 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(3911(a,1),3292(a,1,1,1)),flip(a)]. 4882 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(3190(a,2),4062(a,1,1))]. 4883 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(4157,a,4127,a),flip(a)]. 4884 L(x,y,T(z,y)) * T(z * y,y) = T(T(z,y) * (y * x),y * z). [para(730(a,2),4219(a,1,2))]. 4885 T(T(x,y) * (y * z),y * x) \ (z * (T(x,y) * y)) = a(T(x,y),y,T(z,T(x,y) * y)). [para(4219(a,1),2546(a,1,1))]. 4886 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(4248,a,4466,a),flip(a)]. 4887 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(4132,a,4886,a),flip(a)]. 4888 K(x / (K(y,z) * u),y) = K(x / u,y). [para(3195(a,1),4887(a,1,1,2))]. 4889 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(4251,a,4669,a)]. 4890 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [para(1985(a,2),4642(a,1,1,2))]. 4894 (x / y) \ (x * L(x \ (x / y),z,u)) = y * L(y \ 1,z,u). [para(416(a,1),4765(a,1,2,2,1))]. 4895 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [hyper(136,a,4894,a)]. 4896 (x / y) \ (x * L(x \ (x / y),z,u)) != w | y * L(y \ 1,z,u) = w. [para(4895(a,1),243(a,1,2)),flip(b)]. 4897 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(761(a,1),4883(a,1,1)),flip(a)]. 4898 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(259,a,4170,a,b,4897,a),flip(a)]. 4899 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(5(a,1),4897(a,1,2,2)),flip(a)]. 4900 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(58,a,4286,a,b,4899,a)]. 4902 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(4197,a,4898,a)]. 4903 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(99(a,1),4902(a,1,2,2))]. 4904 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(3977,a,4903,a)]. 4905 L(K(x,y),y \ 1,z) = K(x,y). [hyper(2936,a,3362,a)]. 4906 K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z. [para(4905(a,1),3902(a,1))]. 4907 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(4906,a,4819,a)]. 4909 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(3405,a,3435,a)]. 4910 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(5(a,1),4909(a,1,2)),flip(a)]. 4911 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(3424(a,1),4909(a,1,2)),flip(a)]. 4912 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(3545(a,1),4909(a,1,2))]. 4913 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [hyper(124,a,4910,a,b,15,a(flip))]. 4914 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(96(a,1),4910(a,1,1))]. 4915 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(4910(a,1),3503(a,1,1,2)),flip(a)]. 4916 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),4914(a,1,1,2,1)),flip(a)]. 4917 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(259,a,3194,a(flip),b,4916,a),flip(a)]. 4918 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(7(a,1),4916(a,2,1,1))]. 4919 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(7(a,1),4916(a,2,1,2))]. 4920 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(58,a,4655,a(flip),b,4915,a),flip(a)]. 4921 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(125,a,4655,a(flip),b,4915,a(flip))]. 4922 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [hyper(124,a,4920,a(flip),b,806,a),flip(a)]. 4927 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(631,a,4922,a)]. 4928 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(259,a,99,a(flip),b,4922,a),flip(a)]. 4929 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(2900(a,2),4922(a,2,1)),flip(a)]. 4930 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(868(a,1),4927(a,1,2,1))]. 4932 (x * y) / ((K(z,u) * x) * y) != w | R(K(u,z),x,y) = w. [para(4928(a,1),271(a,1,2))]. 4933 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(4928(a,1),342(a,1,1))]. 4934 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(4490(a,1),4913(a,1,1,1)),flip(a)]. 4935 L(K(x,y),z,K(y,u)) = K(x,y). [hyper(2809,a,4934,a)]. 4936 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(4934(a,1),2380(a,1,1,2))]. 4937 L(K(x,y),z,K(u,y)) = K(x,y). [para(1447(a,1),4935(a,1,3))]. 4939 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(4644,a,4937,a)]. 4940 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(58,a,4469,a(flip),b,4939,a)]. 4941 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(4939(a,1),2195(a,2,1,1))]. 4943 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(1445(a,1),4940(a,1,1,2,1))]. 4944 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(2525(a,1),4940(a,1,1,2))]. 4945 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(1435(a,1),4943(a,1,1,2)),flip(a)]. 4947 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(3378(a,2),4943(a,1,1,2))]. 4948 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(4073(a,1),4943(a,1,1,2,1))]. 4949 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(259,a,2195,a,b,4941,a),flip(a)]. 4950 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(91(a,1),4949(a,1,2))]. 4951 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(708(a,1),4944(a,1,1,2,2))]. 4952 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(4947(a,1),1626(a,1,1,1,2)),flip(a)]. 4953 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(4249,a,4948,a),flip(a)]. 4954 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(4153,a,4953,a),flip(a)]. 4955 K((x * K(y,z)) / u,z) = K(x / u,z). [para(4064(a,1),4954(a,1,1,1)),flip(a)]. 4956 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(4954(a,1),4433(a,1,2,1,2,2)),flip(a)]. 4957 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(2954(a,1),4955(a,1,1,1))]. 4958 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(4957(a,1),3503(a,1,1,2)),flip(a)]. 4959 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(58,a,4480,a(flip),b,4950,a)]. 4961 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(3549(a,1),4959(a,1,2,2))]. 4962 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(538(a,1),4951(a,2,1))]. 4963 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(1531(a,1),4918(a,1,1))]. 4964 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(4888(a,1),4918(a,1,1))]. 4965 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(58,a,149,a(flip),b,4930,a),flip(a)]. 4966 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [hyper(3509,a,4929,a(flip))]. 4967 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(3960,a,4966,a)]. 4968 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(315(a,1),4966(a,1,1,1,1)),flip(a)]. 4969 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4966(a,1),3967(a,1,1)),flip(a)]. 4970 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(4878,a,4968,a),flip(a)]. 4971 R(K(x \ 1,y),z,u) = K(1 / R(x,z,u),y). [hyper(259,a,1826,a,b,4968,a),flip(a)]. 4972 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(58,a,4656,a(flip),b,4968,a),flip(a)]. 4973 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(100(a,1),4968(a,2,1,1))]. 4974 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(1411(a,2),4968(a,1,1))]. 4975 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4971(a,2),1856(a,1))]. 4976 ((x * y) * z) / ((x * T(y,T(u,x))) * z) != w | R(K(u,y),x * y,z) = w. [para(3934(a,1),4932(a,1,2,1))]. 4977 K(x,(y * T(z,x)) / u) = K(x,(y * z) / u). [hyper(259,a,3503,a(flip),b,4958,a),flip(a)]. 4978 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(4958(a,2),3537(a,1))]. 4979 K(x,(y * x) / z) = K(x,(x * y) / z). [para(103(a,1),4977(a,1,2,1))]. 4980 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(2445(a,1),4979(a,2,2))]. 4981 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4966(a,1),4967(a,1,1)),flip(a)]. 4982 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4966(a,1),4969(a,1,2)),flip(a)]. 4983 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(58,a,4981,a,b,4982,a)]. 4984 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(3963(a,1),4983(a,1,1))]. 4985 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(2899(a,1),4984(a,2,2))]. 4986 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(4970(a,1),4702(a,1,1))]. 4987 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(259,a,3980,a(flip),b,4985,a),flip(a)]. 4988 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(4985(a,2),4007(a,1,1))]. 4990 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(3943(a,1),4987(a,1,1))]. 4991 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(3980(a,1),4987(a,1,1))]. 4993 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(58,a,4990,a(flip),b,4991,a)]. 4995 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(58,a,4984,a(flip),b,4991,a)]. 4996 K(x,K(y,R(z,u,w))) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(4993(a,2),3977(a,1))]. 4998 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3432(a,1),4995(a,1,2)),flip(a)]. 5000 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(4995(a,2),4996(a,1))]. 5001 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(4654(a,1),5000(a,1,2))]. 5002 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(4123(a,1),4917(a,1,1))]. 5003 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(3190(a,2),4933(a,2,1))]. 5004 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [hyper(124,a,4973,a(flip),b,15,a(flip))]. 5005 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(4274(a,1),5003(a,2,1))]. 5006 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(1951(a,1),4988(a,1,1,1,2)),flip(a)]. 5007 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(4984(a,1),5006(a,2,1))]. 5008 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(259,a,1412,a,b,5007,a),flip(a)]. 5009 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(4151,a,5008,a),flip(a)]. 5010 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(4945(a,1),4963(a,1,1))]. 5011 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(58,a,4918,a(flip),b,4964,a),flip(a)]. 5012 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(5011(a,1),4433(a,1,2,1,2,2)),flip(a)]. 5013 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(58,a,4882,a(flip),b,5002,a),flip(a)]. 5014 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(3525,a,5013,a)]. 5015 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(58,a,3476,a(flip),b,5010,a),flip(a)]. 5016 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(4106,a,5015,a)]. 5018 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(5016(a,1),3503(a,1,1,2))]. 5019 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3537,a,5018,a)]. 5020 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(58,a,3737,a,b,5019,a)]. 5021 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(259,a,4756,a(flip),b,5020,a),flip(a)]. 5024 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(3824(a,2),3908(a,2,2))]. 5025 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(2373,a,3909,a),flip(a)]. 5026 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(2160(a,1),5025(a,1,1))]. 5027 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(259,a,2374,a(flip),b,5026,a),flip(a)]. 5028 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(1070(a,1),5027(a,2,2,2,1))]. 5029 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(3823(a,2),3931(a,2,2))]. 5030 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(4009(a,1),3984(a,1,1))]. 5031 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(5030(a,1),3497(a,1,2))]. 5032 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(4262,a,4216,a)]. 5033 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(259,a,3129,a(flip),b,5032,a),flip(a)]. 5035 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(259,a,1708,a(flip),b,5033,a),flip(a)]. 5036 ((x * y) * K(y * x,z)) \ u = (x * y) \ (K(z,y * x) * u). [para(4093(a,1),4275(a,1,2,1)),flip(a)]. 5037 ((x * y) * K(y * x,z)) \ u = K(y,x) * (T(y * x,z) \ u). [hyper(259,a,3591,a(flip),b,5036,a),flip(a)]. 5038 K(x,y) * (T(x * y,z) \ u) = T(y * x,T(z,x)) \ u. [para(4108(a,1),5037(a,1,1)),flip(a)]. 5040 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(13(a,2),4349(a,1,1,1,1))]. 5041 K(x,y) * T(z,K(x,u)) != w | T(K(x,y) * z,K(x,u)) = w. [para(4410(a,1),3989(a,1))]. 5042 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(788,a,4426,a),flip(a)]. 5043 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(30,a,4824,a(flip),b,5042,a(flip)),flip(a)]. 5044 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(4560(a,1),3263(a,1))]. 5045 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3517(a,1),4576(a,1,1)),flip(a)]. 5046 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(4589(a,2),4975(a,1))]. 5047 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(259,a,2625,a(flip),b,4607,a),flip(a)]. 5048 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3465(a,1),4674(a,1,2))]. 5049 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). [para(3642(a,1),4676(a,2,2,2))]. 5050 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(4(a,1),4706(a,1,2))]. 5051 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(58,a,4858,a(flip),b,5050,a)]. 5052 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(259,a,4103,a(flip),b,5051,a),flip(a)]. 5053 ((L(x,y,z) * u) \ x) * K(u,x) = x / (L(x,y,z) * u). [hyper(3274,a,4711,a(flip))]. 5054 K(L(x,y,z) * u,x) = K(u,x). [hyper(1609,a,5053,a)]. 5056 K(L(x,y,z) * u,x) != w | K(x * u,x) = w. [para(5054(a,2),1579(a,1))]. 5057 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(1124,a,4726,a)]. 5058 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(58,a,4965,a(flip),b,5057,a)]. 5059 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(1918(a,1),5058(a,1,2))]. 5060 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(259,a,3009,a(flip),b,5059,a),flip(a)]. 5062 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(58,a,3925,a(flip),b,5060,a)]. 5063 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(1920(a,1),5060(a,1,2))]. 5064 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(4828,a,5062,a),flip(a)]. 5065 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(58,a,3701,a,b,5064,a)]. 5066 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(99(a,1),5064(a,1,2,2,2))]. 5067 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(7(a,1),5065(a,1,2,2,1)),flip(a)]. 5068 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(1266(a,1),5065(a,1,2,2,1))]. 5069 K(x \ 1,y / (z * (x \ 1))) != u | K(x \ 1,(z / y) \ x) = u. [para(5067(a,1),3741(a,1))]. 5070 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(622(a,1),5063(a,1,2,2))]. 5074 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(58,a,4702,a(flip),b,4986,a)]. 5075 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(58,a,4702,a(flip),b,5074,a),flip(a)]. 5076 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(58,a,4702,a(flip),b,5075,a)]. 5077 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,4921,a(flip),b,5045,a)]. 5078 (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. [para(5045(a,1),38(a,1)),flip(a)]. 5079 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(58,a,4656,a(flip),b,5048,a),flip(a)]. 5080 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(1507(a,1),5079(a,1,2,1)),flip(a)]. 5081 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(1445(a,1),5080(a,1,2,2,1))]. 5082 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5081(a,1),3503(a,1,1,2)),flip(a)]. 5083 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5082(a,2),3537(a,1))]. 5084 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5083,a,4911,a),flip(a)]. 5085 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(259,a,4910,a(flip),b,5084,a),flip(a)]. 5086 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(1447(a,1),5085(a,1,2,1))]. 5087 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(58,a,4912,a(flip),b,5086,a)]. 5089 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(982(a,1),5087(a,1,1,2)),flip(a)]. 5090 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(1935(a,1),5087(a,1,1,2))]. 5091 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(58,a,4656,a(flip),b,5089,a),flip(a)]. 5094 R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). [hyper(259,a,4658,a(flip),b,5049,a),flip(a)]. 5095 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(1507(a,1),5094(a,1,1,2)),flip(a)]. 5096 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(868(a,1),5095(a,1,2))]. 5097 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(58,a,4656,a(flip),b,5096,a),flip(a)]. 5098 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(2077(a,1),5097(a,2,2))]. 5099 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(259,a,5067,a(flip),b,5068,a),flip(a)]. 5100 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(58,a,3888,a,b,5099,a)]. 5101 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),5100(a,2,2,2,1))]. 5102 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(544(a,1),3310(a,2,2))]. 5103 T(x,L(x * (y \ z),x \ 1,y) \ 1) != u | T(x,z \ (y * (x \ 1))) = u. [para(3366(a,2),3079(a,1))]. 5104 T(x * L(y,z,u),y \ (x * L(y,z,u))) = x * (K(y,x) * L(y,z,u)). [para(1093(a,2),3644(a,1,2))]. 5105 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(3905,a,3892,a),flip(a)]. 5106 T(x,(y \ z) * (z \ y)) = x. [hyper(49,a,5105,a)]. 5107 T(x,y * (z \ (z / y))) = x. [para(73(a,1),5106(a,1,2,1))]. 5108 T(x,a(y,y \ 1,z)) = x. [para(4796(a,1),5107(a,1,2))]. 5109 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(2077(a,2),4111(a,1,1))]. 5110 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(58,a,1663,a(flip),b,4347,a),flip(a)]. 5111 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(2071(a,1),5110(a,1,1)),flip(a)]. 5112 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(259,a,3184,a(flip),b,4582,a),flip(a)]. 5113 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(4615,a,3832,a)]. 5114 ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))) != u | z * L(z \ 1,y,x) = u. [para(89(a,1),4896(a,1,2))]. 5115 T(x * L(y,z,u),y \ 1) = x * (K(y,x) * L(y,z,u)). [hyper(2008,a,5104,a)]. 5116 T(x * L(y,z,u),y \ 1) = T(x,y \ 1) * L(y,z,u). [hyper(259,a,3431,a,b,5115,a),flip(a)]. 5117 T(x * L(y \ L(y,z,u),y,T(x,(y \ L(y,z,u)) \ 1)),(y \ L(y,z,u)) \ 1) = (T(x,(y \ L(y,z,u)) \ 1) / y) * L(y,z,u). [hyper(259,a,2695,a(flip),b,5116,a),flip(a)]. 5118 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(58,a,5091,a(flip),b,5109,a)]. 5119 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(5109(a,1),3965(a,2,2))]. 5120 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(3340,a,3367,a)]. 5122 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(4(a,1),3376(a,1,1,2,1)),flip(a)]. 5123 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(3374(a,1),5122(a,1,2,1,2))]. 5124 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(1535(a,2),5123(a,1,2,1,2))]. 5125 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(29,a,1641,a,b,5124,a)]. 5126 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5125(a,1),537(a,1,2,2))]. 5127 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(3384(a,1),3408(a,1,2)),flip(a)]. 5128 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5127(a,2),542(a,1))]. 5130 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(3612,a,3619,a)]. 5131 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(4045(a,1),5130(a,1,3))]. 5132 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(4636,a,5131,a)]. 5134 L(T(x \ 1,y),T(x,z),u) = T(L(x \ 1,x,u),y). [para(5132(a,1),20(a,2,1))]. 5135 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(5132(a,1),2910(a,1,1))]. 5136 L(T(x \ 1,y),T(x,z),u) = L(T(x \ 1,y),x,u). [hyper(259,a,20,a,b,5134,a),flip(a)]. 5137 L(T(T(x,y) \ 1,z),T(T(x,u),y),w) = L(T(T(x,y) \ 1,z),T(x,y),w). [para(18(a,1),5136(a,1,2))]. 5138 L(T(T(x \ 1,y),z),T(x,u),w) = T(L(T(x \ 1,y),x,w),z). [para(5136(a,1),20(a,2,1))]. 5139 L(T(T(x \ 1,y),z),T(x,u),w) = L(T(T(x \ 1,y),z),x,w). [hyper(259,a,20,a,b,5138,a),flip(a)]. 5140 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(315(a,1),3658(a,1,2,2,2))]. 5141 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(103(a,1),4394(a,1,2,2,2))]. 5142 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(4402(a,2),5141(a,2,2,2,2))]. 5143 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1660(a,1),4423(a,1,1,2))]. 5144 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(1508(a,1),5143(a,1,2,2))]. 5145 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(4371(a,1),5144(a,1,1,2)),flip(a)]. 5146 L(x,T(y,x),z) = L(x,y,z). [hyper(259,a,13,a,b,5145,a)]. 5148 L(x,y / x,z) = L(x,x \ y,z). [para(105(a,1),5146(a,1,2)),flip(a)]. 5149 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(5148(a,1),4482(a,1,1))]. 5150 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(4439(a,1),4448(a,1,1))]. 5151 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(3907(a,1),4856(a,2,2))]. 5152 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(3912(a,1),5151(a,2,2))]. 5153 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(259,a,2167,a(flip),b,5152,a),flip(a)]. 5154 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(70(a,1),5153(a,1,1))]. 5155 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(70(a,1),5154(a,1,2,1)),flip(a)]. 5156 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(3068(a,1),5155(a,1,1))]. 5157 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(5156(a,2),4735(a,2,1,1,2,1)),flip(a)]. 5158 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(259,a,1626,a(flip),b,4952,a),flip(a)]. 5159 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(1883(a,1),5158(a,1,2,2)),flip(a)]. 5160 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(259,a,4502,a(flip),b,4962,a),flip(a)]. 5162 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(2527,a,5004,a)]. 5163 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),5047(a,1,1,2,1))]. 5164 L(T(T(x \ 1,y),z),T(T(x,u),y),w) = L(T(T(x,y) \ 1,z),T(x,y),w). [para(2198(a,2),5137(a,1,1,1))]. 5165 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(2524(a,1),5162(a,2,1))]. 5166 L(T(T(x \ 1,y),z),T(T(x,u),y),w) = L(T(T(x \ 1,y),z),T(x,y),w). [para(2198(a,2),5164(a,2,1,1))]. 5167 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(216,a,5165,a(flip),b,2870,a(flip)),flip(a)]. 5169 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(17(a,2),5167(a,1,2,1,1,2)),flip(a)]. 5170 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(2109,a,5169,a(flip)),flip(a)]. 5171 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(2992(a,1),5170(a,1,1,2)),flip(a)]. 5172 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5171(a,1),4097(a,1,1))]. 5173 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(4342(a,1),5172(a,1,1,1,2))]. 5174 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(4500(a,1),5173(a,1,1,1,2))]. 5175 L(T(T(x \ 1,y),z),T(T(x,y),u),w) = L(T(T(x \ 1,y),z),T(x,y),w). [para(18(a,1),5166(a,1,2))]. 5176 L(T(T(x \ 1,y),z),T(T(x,y),u),w) = L(T(T(x \ 1,y),z),x,w). [hyper(259,a,5139,a(flip),b,5175,a),flip(a)]. 5178 x * L(T(T(y \ 1,z),u),y,x) = x / T(T(y,z),u). [para(5176(a,1),2233(a,1,2))]. 5185 (K(x * y,z) * ((x * y) / x)) * x != (x * y) * u | R(K(x * y,z),y,T(x,y)) = u. [para(3793(a,2),38(a,1))]. 5186 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(4412(a,1),4159(a,1))]. 5187 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(58,a,4900,a(flip),b,4664,a)]. 5189 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [hyper(58,a,2088,a(flip),b,5187,a),flip(a)]. 5190 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(58,a,4712,a(flip),b,5189,a)]. 5191 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(3158(a,1),4738(a,1,1,2))]. 5192 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(1408(a,2),5191(a,1,1)),flip(a)]. 5193 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(315(a,1),5192(a,1,1,1,1))]. 5194 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) != w | K(L(y,z,u) * (x \ 1),y) = w. [para(5193(a,2),4152(a,1))]. 5195 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(259,a,1661,a(flip),b,4837,a),flip(a)]. 5196 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(259,a,1662,a(flip),b,4838,a),flip(a)]. 5197 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3480(a,1),5196(a,1,1)),flip(a)]. 5198 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(1445(a,1),5197(a,1,1,1))]. 5200 (K(x,y) * z) * K(z,R(x,u,w)) != v5 | T(K(x,y) * z,R(x,u,w)) = v5. [para(5198(a,1),1421(a,1,2))]. 5201 K(x,y) * T(z,R(x,u,w)) != v5 | T(K(x,y) * z,R(x,u,w)) = v5. [para(2954(a,1),5200(a,1))]. 5202 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) != w | T(K(x,y),z * K(x,u)) = w. [para(4881(a,2),4245(a,1))]. 5203 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(5202,a,4452,a)]. 5204 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [para(3195(a,1),5203(a,1,2))]. 5205 T(K(x,y),K(x,z) * u) = L(T(K(x,y),u),w,K(x,v5)). [hyper(259,a,4452,a,b,5204,a),flip(a)]. 5206 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),w),v5,v6)) = z * L(T(K(x,u),K(x,v7) * w),v5,v6). [para(5205(a,2),1046(a,1,2,1)),flip(a)]. 5207 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(259,a,2905,a,b,5028,a),flip(a)]. 5208 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(315(a,1),5207(a,2,1,2,2))]. 5209 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3128(a,1),5208(a,1,1,2))]. 5210 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(6(a,1),5209(a,1,1,2,2))]. 5211 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(58,a,1749,a(flip),b,5210,a),flip(a)]. 5213 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(5211(a,1),1615(a,1,1))]. 5214 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(2172,a,5213,a)]. 5216 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(259,a,534,a(flip),b,5214,a),flip(a)]. 5217 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(1500(a,1),5216(a,1,3))]. 5218 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(259,a,614,a(flip),b,5217,a),flip(a)]. 5219 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [hyper(707,a,5218,a)]. 5220 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(2214(a,1),5219(a,1,2))]. 5221 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(5220(a,1),213(a,1,2,1))]. 5222 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3544,a,5112,a)]. 5223 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3517(a,1),5222(a,1,2)),flip(a)]. 5224 T(x,a(y,z,K(x,u))) = x. [para(5223(a,1),3416(a,1,2))]. 5225 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(5224(a,1),3195(a,1,2,2)),flip(a)]. 5227 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(215(a,1),3559(a,1,2)),flip(a)]. 5228 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(3027(a,1),5227(a,1,1,2,1))]. 5229 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [hyper(648,a,3560,a),flip(a)]. 5230 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(3027(a,1),5229(a,1,1,2,1))]. 5231 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(125,a,4,a(flip),b,3785,a)]. 5232 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(5231(a,1),5140(a,1,2))]. 5233 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(4752(a,1),3790(a,1,1)),flip(a)]. 5234 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(259,a,3261,a(flip),b,5233,a),flip(a)]. 5235 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3662(a,1),5234(a,1,1)),flip(a)]. 5236 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(5044,a,5235,a)]. 5237 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(5(a,1),3850(a,1,1)),flip(a)]. 5239 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(5237(a,2),2395(a,2,1,2))]. 5240 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(126,a,3917,a),flip(a)]. 5241 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(911(a,1),5240(a,1,1)),flip(a)]. 5242 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(3773,a,5241,a)]. 5243 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(2871(a,1),4416(a,1,1,2))]. 5244 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(1915,a,5243,a),flip(a)]. 5245 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(4434,a,4436,a),flip(a)]. 5246 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(255(a,2),5245(a,1,2,1,2)),flip(a)]. 5247 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(3195(a,1),4597(a,2,2))]. 5248 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(4585(a,1),5247(a,1,1)),flip(a)]. 5249 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(259,a,148,a(flip),b,5248,a),flip(a)]. 5251 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(5249(a,1),2168(a,1,1,2,1))]. 5252 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(259,a,4611,a(flip),b,4612,a),flip(a)]. 5253 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),5252(a,1,1,2,1,2,1))]. 5254 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(58,a,4220,a(flip),b,5253,a)]. 5255 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(4247,a,5254,a)]. 5256 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(22(a,2),4670(a,1,2,2,2,1))]. 5257 L(L(T(x,y),z,u) \ T(w,y),L(x,z,u),y) = (L(x,z,u) * y) \ (w * y). [para(214(a,1),4782(a,2,1))]. 5258 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(259,a,4433,a(flip),b,4840,a),flip(a)]. 5259 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(3191(a,1),5258(a,1,2,1,2,2))]. 5260 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(58,a,4877,a(flip),b,5259,a)]. 5262 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(1501(a,2),5260(a,1,2,1,1))]. 5263 K(x,T((y / (y / x)) * (z \ 1),u)) != w | K(x,T(z \ x,u)) = w. [para(5262(a,2),4696(a,1))]. 5264 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(4073(a,1),4851(a,1,2,2,1))]. 5266 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(4956(a,2),4434(a,1))]. 5267 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(3762(a,1),5174(a,1,1,1,2)),flip(a)]. 5268 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1464(a,1),5267(a,2,1))]. 5269 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(5268(a,2),4196(a,1))]. 5270 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(259,a,4126,a(flip),b,5221,a),flip(a)]. 5272 (x \ K(x,y * (K(x,z) * u))) * T((x \ 1) \ K(y * (u * K(x,w)),x),v5) = K(x,T(v5,y * (K(x,z) * u))). [para(4841(a,1),5270(a,1,2,1,2))]. 5273 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4(a,1),5256(a,1,2))]. 5275 L(T(x \ 1,y),x,z) * K(u,x) = K(y,x) * T(L(x \ 1,x,z),u). [para(3003(a,1),3893(a,1,2))]. 5276 L(T(x \ 1,y),x,z) * K(u,x) = K(y,x) * L(T(x \ 1,u),x,z). [para(20(a,2),5275(a,2,2))]. 5278 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(3901(a,1),3900(a,1,1))]. 5279 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(284(a,1),5278(a,1,1,1))]. 5280 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(1852(a,1),5279(a,1,1))]. 5281 K(x,y) / (z \ T(x,y)) = (z \ x) \ 1. [hyper(259,a,318,a(flip),b,5280,a),flip(a)]. 5284 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(3191(a,1),4875(a,2,1,2))]. 5285 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) != u | K(y,y * x) = u. [para(4890(a,2),1582(a,1))]. 5286 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(3897(a,1),3062(a,1,1)),flip(a)]. 5287 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(3485(a,1),3551(a,2,2))]. 5288 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(259,a,13,a,b,5287,a),flip(a)]. 5289 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5287(a,2),542(a,1))]. 5291 L(x,y,T(z,y)) = L(x,y,z). [hyper(58,a,3727,a(flip),b,5288,a)]. 5292 L(x,y,y * (z / y)) = L(x,y,z). [para(725(a,1),5291(a,1,3)),flip(a)]. 5293 T(T(x,y) * (y * z),y * x) = L(z,y,x) * T(x * y,y). [para(5291(a,1),4884(a,1,1)),flip(a)]. 5294 L(x,y,T(z,x)) != u | L(x,y,z) = u. [para(3613(a,1),5289(a,1))]. 5299 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [hyper(5001,a,xx)]. 5300 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(4000,a,5299,a)]. 5302 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(1193(a,1),4208(a,1,2,1)),flip(a)]. 5303 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(1193(a,1),5302(a,1,2)),flip(a)]. 5305 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(5303(a,1),668(a,1,1,1)),flip(a)]. 5307 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(2383(a,1),4393(a,1,2))]. 5308 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(4(a,1),5307(a,1,2,1,2,1))]. 5309 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(259,a,4271,a(flip),b,5308,a),flip(a)]. 5310 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(4976,a,5309,a)]. 5311 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(259,a,4090,a(flip),b,5310,a),flip(a)]. 5313 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(259,a,1564,a(flip),b,4540,a),flip(a)]. 5314 K(L(x * (y \ z),x \ 1,y) \ 1,x) != u | K(z \ (y * (x \ 1)),x) = u. [para(5313(a,2),3131(a,1))]. 5315 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(5314,a,4907,a)]. 5316 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(58,a,4472,a(flip),b,5315,a),flip(a)]. 5317 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(259,a,3733,a(flip),b,5316,a),flip(a)]. 5318 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(3779,a,5317,a)]. 5319 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(103(a,1),5318(a,1,1,1)),flip(a)]. 5320 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(58,a,3734,a(flip),b,5319,a),flip(a)]. 5321 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(58,a,4339,a,b,5320,a)]. 5322 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(3610(a,1),5321(a,2,1,2,1))]. 5323 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(259,a,4321,a(flip),b,4561,a),flip(a)]. 5324 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(259,a,4432,a(flip),b,5323,a),flip(a)]. 5325 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(204(a,1),5324(a,2,2,2))]. 5326 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(3270,a,4588,a),flip(a)]. 5327 T(T(x,y) * (y * z),y * x) \ (z * T(x * y,y)) = a(T(x,y),y,T(z,T(x,y) * y)). [para(730(a,2),4885(a,1,2,2))]. 5328 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(2990(a,1),5119(a,1,2))]. 5329 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(5000,a,5328,a)]. 5330 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3465(a,1),5322(a,2,1,2))]. 5331 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(259,a,1779,a(flip),b,5326,a),flip(a)]. 5333 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(259,a,4071,a(flip),b,5331,a),flip(a)]. 5334 T(T(x,y) * (y * z),y * x) \ (z * T(x * y,y)) = a(T(x,y),y,T(z,y * x)). [para(4218(a,1),5327(a,2,3))]. 5335 (L(x,y,z) * T(z * y,y)) \ (x * T(z * y,y)) = a(T(z,y),y,T(x,y * z)). [para(5293(a,1),5334(a,1,1))]. 5336 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(3391(a,1),5330(a,2,1))]. 5337 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(259,a,4781,a(flip),b,5336,a),flip(a)]. 5340 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(4434,a,4435,a),flip(a)]. 5341 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(70(a,1),5340(a,1,2,1,2,1)),flip(a)]. 5342 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(259,a,4433,a(flip),b,5012,a),flip(a)]. 5343 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(4215(a,1),5342(a,1,2,1,2,1))]. 5344 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ v5),v6,v7)) = z * L(T(K(x,u),v5),v6,v7). [para(5(a,1),5206(a,2,2,1,2))]. 5345 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ z),v5,v6)) = L(K(x,u),v5,v6) * z. [hyper(259,a,214,a(flip),b,5344,a),flip(a)]. 5346 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [hyper(648,a,5345,a)]. 5347 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(3482(a,1),5346(a,1,2,2))]. 5348 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(259,a,2910,a(flip),b,5347,a),flip(a)]. 5349 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(1409(a,2),2966(a,2,1,2))]. 5350 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(2954(a,1),5349(a,2,2))]. 5351 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). [hyper(259,a,15,a,b,5350,a),flip(a)]. 5352 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(2956(a,1),5351(a,1,3))]. 5353 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(4205,a,5352,a),flip(a)]. 5356 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(58,a,4603,a,b,5353,a)]. 5357 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5353(a,2),3513(a,1,1))]. 5359 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(4326(a,1),5356(a,1,2))]. 5360 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(3190(a,2),5359(a,1,2))]. 5361 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(5360(a,1),5284(a,2,1))]. 5362 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4025(a,1),5357(a,1,1,3))]. 5363 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(3482(a,1),5362(a,2,2))]. 5364 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(259,a,5363,a(flip),b,5361,a),flip(a)]. 5365 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(3191(a,1),5364(a,1,1,2))]. 5366 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(4045(a,1),5365(a,1,2))]. 5367 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(4628(a,2),5366(a,1,1))]. 5368 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(259,a,6,a(flip),b,3146,a),flip(a)]. 5370 R(x,K(y,z),L(z,u,w)) = x. [para(3116(a,1),5368(a,1,3))]. 5371 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(58,a,3538,a(flip),b,5370,a)]. 5373 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(58,a,1658,a(flip),b,5371,a),flip(a)]. 5374 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(58,a,3288,a(flip),b,4369,a),flip(a)]. 5375 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(3145,a,5374,a),flip(a)]. 5376 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(58,a,4185,a(flip),b,5375,a)]. 5377 K(x,R(x \ 1,x,y) * z) != u | K(x,z * (y / (x * y))) = u. [para(5375(a,1),3145(a,1))]. 5378 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(4850(a,1),5376(a,1,1))]. 5379 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(3250,a,5378,a)]. 5380 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(4154,a,5379,a),flip(a)]. 5382 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). [para(2984(a,1),4741(a,2,2))]. 5383 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). [para(4(a,1),5382(a,2,2,2))]. 5384 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). [para(1561(a,1),5383(a,2,2))]. 5385 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(259,a,1405,a,b,5384,a),flip(a)]. 5386 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(3346,a,5385,a)]. 5387 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(4(a,1),5386(a,1,2))]. 5388 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(3886,a,5387,a)]. 5389 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(58,a,5052,a(flip),b,5388,a)]. 5391 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(5(a,1),5389(a,2,1))]. 5392 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(259,a,4098,a(flip),b,5111,a),flip(a)]. 5393 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(2071(a,1),5392(a,1,1))]. 5394 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(4196,a,5393,a),flip(a)]. 5395 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(5263,a,5394,a),flip(a)]. 5396 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(4163,a,5395,a)]. 5397 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(58,a,5021,a(flip),b,5396,a)]. 5398 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(1842,a,5397,a)]. 5400 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(58,a,4539,a(flip),b,5398,a)]. 5401 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(73(a,1),5400(a,1,2,2,1)),flip(a)]. 5402 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(5401(a,1),4060(a,1,1))]. 5403 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(4048(a,1),5402(a,1))]. 5404 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(5403,a,4980,a)]. 5405 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(371(a,1),5404(a,1,2,1))]. 5406 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(58,a,4529,a(flip),b,5405,a)]. 5407 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(2325(a,1),5406(a,1,2)),flip(a)]. 5408 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(2947(a,1),2955(a,1,1,2,1,1)),flip(a)]. 5409 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(4(a,1),5408(a,2,1,2,1))]. 5410 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(2947(a,1),5409(a,1,1)),flip(a)]. 5411 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(540,a,5410,a)]. 5412 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(1006(a,1),4413(a,1,1))]. 5413 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(1849,a,5412,a)]. 5414 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(259,a,1823,a(flip),b,5413,a),flip(a)]. 5415 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(5414(a,2),4978(a,1))]. 5416 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(4961(a,1),4640(a,1,2))]. 5417 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(318(a,1),4695(a,1,2,2,1,1))]. 5421 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4389(a,1),5005(a,1,1))]. 5422 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(4020(a,1),5246(a,1,2))]. 5423 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(4(a,1),5416(a,1,2,2,2,1))]. 5424 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(4619,a,5423,a),flip(a)]. 5425 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(4133,a,5424,a)]. 5426 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(4621,a,5425,a)]. 5427 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(4020(a,1),5417(a,1,2))]. 5432 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(4045(a,1),5421(a,1,1,2))]. 5433 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(4584,a,5432,a),flip(a)]. 5434 R(K(x,y),L(y,z,u),w) = K(x,y). [para(680(a,1),5433(a,1,1,2))]. 5435 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(5194,a,5434,a)]. 5436 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(58,a,4919,a(flip),b,5434,a)]. 5437 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(5056,a,5435,a),flip(a)]. 5439 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(259,a,4346,a(flip),b,5437,a),flip(a)]. 5440 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(259,a,3165,a(flip),b,5436,a),flip(a)]. 5441 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(58,a,5333,a,b,5440,a)]. 5442 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(3269,a,5441,a)]. 5443 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(4153,a,5442,a)]. 5445 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(259,a,5439,a(flip),b,5443,a),flip(a)]. 5447 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(259,a,2984,a(flip),b,4516,a),flip(a)]. 5448 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(4(a,1),5447(a,2,2))]. 5449 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(3346,a,5448,a)]. 5450 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(4(a,1),5449(a,1,2))]. 5451 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(58,a,4500,a(flip),b,5450,a)]. 5452 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(58,a,5391,a(flip),b,5451,a)]. 5453 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(3746,a,5452,a)]. 5455 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(58,a,5120,a(flip),b,5453,a)]. 5457 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(58,a,4835,a(flip),b,5455,a)]. 5458 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(5(a,1),5455(a,1,1,2,1)),flip(a)]. 5459 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(259,a,3824,a,b,5458,a),flip(a)]. 5460 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [hyper(125,a,5459,a(flip),b,83,a)]. 5461 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(58,a,5024,a,b,5460,a)]. 5462 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(3561(a,1),4601(a,1,2,1)),flip(a)]. 5463 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(782(a,1),5462(a,1,2))]. 5465 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(58,a,5286,a,b,5463,a)]. 5467 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(259,a,1604,a(flip),b,5465,a),flip(a)]. 5468 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(58,a,4190,a(flip),b,5467,a)]. 5469 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(259,a,3306,a,b,5468,a),flip(a)]. 5470 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [hyper(124,a,5469,a(flip),b,1410,a(flip))]. 5471 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(58,a,5113,a(flip),b,5470,a),flip(a)]. 5472 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(5471(a,2),3805(a,1,2))]. 5473 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(239,a,5472,a)]. 5474 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(5473(a,1),4629(a,1,1))]. 5479 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(1830(a,1),4743(a,1,1)),flip(a)]. 5480 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(714(a,1),5479(a,1,2,1))]. 5482 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(259,a,3849,a,b,5480,a),flip(a)]. 5484 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(3384(a,1),5482(a,2,1))]. 5485 L(x,y,z) * T(R(u,w,u),x * R(u,w,u)) = T(T(u,u * x) * L(x,y,z),u). [para(1005(a,2),5484(a,1,2))]. 5486 L(x,y,z) * T(R(u,w,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(711(a,1),5485(a,1,2,2,2))]. 5488 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(1025(a,1),5486(a,1,2)),flip(a)]. 5489 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(58,a,2655,a(flip),b,5488,a)]. 5490 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w. [para(5489(a,1),1427(a,1,2))]. 5495 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(1830(a,1),4744(a,1,1)),flip(a)]. 5496 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(714(a,1),5495(a,1,2,1))]. 5498 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(259,a,3849,a,b,5496,a),flip(a)]. 5500 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(3384(a,1),5498(a,2,1))]. 5501 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(u * R(x,y,z),u * x). [hyper(259,a,5163,a(flip),b,5500,a),flip(a)]. 5502 R(x,y,z) * R(T(u,x * R(u,w,u)),w,u) = T(u * R(x,y,z),u * x). [para(1023(a,2),5501(a,1,2))]. 5503 R(x,y,z) * R(T(u,x * u),w,u) = T(u * R(x,y,z),u * x). [para(711(a,1),5502(a,1,2,1,2,2))]. 5505 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(1007(a,1),5503(a,1,2)),flip(a)]. 5506 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(5505(a,1),1402(a,1,2))]. 5507 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(89(a,1),5126(a,1,2)),flip(a)]. 5508 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(259,a,538,a(flip),b,5507,a)]. 5509 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(3739,a,5426,a)]. 5510 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(3751,a,5509,a)]. 5511 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(1586,a,5510,a)]. 5512 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(534(a,1),5511(a,1,1))]. 5513 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(4440,a,5512,a)]. 5514 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(58,a,4844,a(flip),b,5513,a)]. 5515 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(4(a,1),5514(a,1,2,2))]. 5516 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(4113,a,5515,a)]. 5518 K(x,T(y \ (x * z),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(5516(a,1),4696(a,1))]. 5519 T(T((x * y) * (y \ z),T(z,x * z)) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(995(a,1),3853(a,1,1,1,2))]. 5520 T(T((x * y) * (y \ z),T(z,x)) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(998(a,1),5519(a,1,1,1,2))]. 5521 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(3384(a,1),4604(a,1,2))]. 5522 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(209(a,1),4936(a,1,1)),flip(a)]. 5523 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(4020(a,1),5522(a,2,1,1))]. 5524 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(259,a,20,a,b,5523,a),flip(a)]. 5525 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(5524(a,1),4872(a,1))]. 5526 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(5132(a,1),5135(a,1,2,1,1)),flip(a)]. 5527 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(259,a,2910,a(flip),b,5526,a),flip(a)]. 5529 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(2142(a,1),5527(a,2,1))]. 5530 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(2142(a,1),5529(a,1,1))]. 5531 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T(y / T(x,z),x) * L(K(x,z),u,w). [para(3484(a,1),3654(a,1,2,1)),flip(a)]. 5533 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * (w * K(x,v5)),x),y). [para(4843(a,1),5272(a,1,1,2)),flip(a)]. 5534 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * w,x),y). [para(692(a,1),5533(a,2,2,1,2,1,2))]. 5536 K(x,T(y,z * (K(x,u) * w))) = K(x,T(y,z * w)). [hyper(259,a,5270,a(flip),b,5534,a),flip(a)]. 5537 K(x,T(y,z * T(u,x))) = K(x,T(y,z * u)). [para(1380(a,1),5536(a,1,2,2,2)),flip(a)]. 5539 K(x,T(y,T(z,x) * u)) = K(x,T(y,z * u)). [para(3492(a,1),5536(a,1,2,2)),flip(a)]. 5540 K(x,T(y,(z / T(u,x)) * u)) = K(x,T(y,z)). [para(7(a,1),5537(a,1,2,2)),flip(a)]. 5541 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(58,a,3829,a(flip),b,5539,a)]. 5542 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(3524(a,1),5540(a,1,2,2))]. 5543 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(3195(a,1),5542(a,1,2,2))]. 5544 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(3786(a,1),5542(a,1,2,2))]. 5545 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(4250,a,5543,a),flip(a)]. 5546 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [hyper(58,a,2088,a(flip),b,5541,a),flip(a)]. 5547 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(5269,a,5544,a),flip(a)]. 5548 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(4288,a,5547,a)]. 5549 K(x,T(y,(x * z) \ u)) = K(x,T(y,u \ z)). [hyper(259,a,4081,a,b,5548,a),flip(a)]. 5550 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(9(a,2),5548(a,1,2,2)),flip(a)]. 5551 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(4169,a,5549,a)]. 5552 K(x,T(y,z \ (x \ u))) = K(x,T(y,u \ z)). [para(5(a,1),5549(a,1,2,2,1)),flip(a)]. 5553 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(58,a,5325,a(flip),b,5551,a),flip(a)]. 5555 K(x,T(y,z \ (x \ u))) != w | K(x,T(y,z \ u)) = w. [para(5552(a,2),4169(a,1))]. 5556 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(4(a,1),5553(a,1,2,2))]. 5557 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(58,a,4055,a(flip),b,5556,a)]. 5561 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(259,a,3259,a(flip),b,5557,a),flip(a)]. 5562 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(7(a,1),5561(a,1,2,2,1)),flip(a)]. 5563 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(125,a,5562,a(flip),b,1408,a(flip)),flip(a)]. 5564 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(259,a,1409,a,b,5563,a),flip(a)]. 5565 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(58,a,4667,a(flip),b,5564,a),flip(a)]. 5566 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(5266,a,5545,a)]. 5567 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(4250,a,5566,a),flip(a)]. 5569 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(3485(a,1),5567(a,1,2,2)),flip(a)]. 5570 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(4823(a,1),5567(a,1,2,2)),flip(a)]. 5571 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(868(a,1),5570(a,1,2,2,2))]. 5572 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(538(a,1),5570(a,1,2))]. 5575 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(651(a,1),5550(a,1,2,2))]. 5576 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(4162,a,5575,a),flip(a)]. 5578 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(125,a,5576,a(flip),b,1408,a(flip)),flip(a)]. 5579 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(259,a,1409,a,b,5578,a),flip(a)]. 5580 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(5579(a,1),4319(a,1,1,1))]. 5581 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),5565(a,1,2,2))]. 5582 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(105(a,1),5581(a,1,2)),flip(a)]. 5585 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(2078,a,5580,a)]. 5586 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(58,a,5118,a,b,5585,a)]. 5587 K(a(x,y,z),x) = 1. [hyper(1907,a,5586,a),flip(a)]. 5589 T(a(x,y,z),x) = a(x,y,z). [hyper(51,a,5587,a)]. 5590 a(x,y,z) * x = x * a(x,y,z). [hyper(125,a,5589,a(flip),b,17,a(flip)),flip(a)]. 5591 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(259,a,1823,a(flip),b,5422,a),flip(a)]. 5592 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(259,a,3193,a(flip),b,5591,a),flip(a)]. 5593 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(259,a,1734,a(flip),b,5592,a),flip(a)]. 5594 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(1445(a,1),5593(a,1,2,2))]. 5595 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(3639(a,1),3659(a,2,2,1,1))]. 5596 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(1549(a,1),5595(a,2,2,1))]. 5599 (K(x,y) * (K(y,x) / z)) * L(L(z \ 1,z,K(y,x)) \ 1,u,w) = L(z \ L(z,u,w),z,K(y,x)). [para(2142(a,1),3870(a,2,1))]. 5616 L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)) = x * ((y \ z) * L(T(y,x * T(z,y)),u,w)). [hyper(1115,a,2892,a),flip(a)]. 5617 x * ((y \ z) * L(T(y,x * T(z,y)),u,w)) = L(L(y,y \ z,x),u,w) * (x * (y \ z)). [para(755(a,1),5616(a,1,1,1)),flip(a)]. 5618 L(L(x,x \ y,z),u,w) * (z * (x \ y)) = z * ((x \ y) * L(T(x,z * y),u,w)). [para(3419(a,1),5617(a,1,2,2,1)),flip(a)]. 5619 T(x * ((y \ 1) * L(T(y,x * 1),z,u)),L(y,y \ 1,x)) = L(L(y,y \ 1,x),z,u) * (L(y,y \ 1,x) \ x). [para(5618(a,1),2344(a,1,1))]. 5620 T(x * ((y \ 1) * L(T(y,x),z,u)),L(y,y \ 1,x)) = L(L(y,y \ 1,x),z,u) * (L(y,y \ 1,x) \ x). [para(3(a,1),5619(a,1,1,2,2,1,2))]. 5621 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * (x \ L(T(x,y),z,u)),L(x,x \ 1,y)). [para(1101(a,1),5620(a,1,1,2)),flip(a)]. 5622 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) != w | T(y * (x \ L(T(x,y),z,u)),x) = w. [para(5621(a,2),4263(a,1))]. 5623 L(L(x,x \ 1,y),z,u) * ((x \ 1) * y) != w | T(y * (x \ L(T(x,y),z,u)),x) = w. [para(849(a,1),5622(a,1,2))]. 5624 L(L(x,x \ 1,y),z,u) * ((x \ 1) * y) = T(y * (x \ L(T(x,y),z,u)),x). [hyper(5623,a,xx),flip(a)]. 5625 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(259,a,470,a(flip),b,5305,a),flip(a)]. 5626 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(58,a,2355,a(flip),b,5625,a)]. 5627 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(3504(a,1),5626(a,1,1,2,1))]. 5628 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(4544(a,1),5627(a,1,1,2,1))]. 5629 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(4082(a,1),5628(a,1,1,2,1)),flip(a)]. 5630 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(58,a,3442,a(flip),b,5629,a),flip(a)]. 5632 (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(5630(a,1),2440(a,2,1,2)),flip(a)]. 5633 (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(3482(a,1),5632(a,1,1))]. 5634 (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(5264(a,1),5633(a,1,1))]. 5635 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(273,a,5634,a)]. 5638 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(58,a,3903,a(flip),b,5635,a)]. 5639 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(259,a,3258,a(flip),b,5638,a),flip(a)]. 5640 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(58,a,5273,a(flip),b,5639,a),flip(a)]. 5642 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(102(a,1),5640(a,1,2,2,1)),flip(a)]. 5643 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(58,a,5640,a,b,5642,a)]. 5644 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(4254,a,5643,a)]. 5646 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(3027(a,1),5348(a,2,1,2,1))]. 5647 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(2110(a,1),2560(a,2,2))]. 5648 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(58,a,1538,a(flip),b,5647,a)]. 5649 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5102(a,1),5648(a,1,2,2))]. 5650 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(58,a,2110,a(flip),b,5649,a)]. 5651 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(540,a,5650,a)]. 5652 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(62(a,1),5651(a,1,1,2,1)),flip(a)]. 5653 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(13(a,2),5652(a,1,2,1)),flip(a)]. 5654 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(58,a,2961,a(flip),b,5653,a),flip(a)]. 5655 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(315(a,1),5653(a,1,1,2)),flip(a)]. 5656 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(125,a,5654,a(flip),b,1408,a(flip)),flip(a)]. 5657 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(3520,a,5655,a)]. 5658 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(58,a,3056,a(flip),b,5655,a)]. 5662 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5655(a,1),5653(a,1,1)),flip(a)]. 5664 L(K(x * y,y),x,z) = 1 / K(y,x * y). [hyper(184,a,2960,a(flip),b,5658,a),flip(a)]. 5665 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(58,a,4445,a,b,5658,a)]. 5666 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5658(a,1),271(a,1,2))]. 5667 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5658(a,1),327(a,1,1))]. 5668 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5658(a,1),3955(a,1,1)),flip(a)]. 5669 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(4159,a,5665,a),flip(a)]. 5670 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),5665(a,1,2,2)),flip(a)]. 5671 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(93(a,1),5665(a,1,2))]. 5672 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(5665(a,1),3190(a,2,1))]. 5673 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(5148(a,1),5665(a,1,2))]. 5674 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(58,a,4447,a(flip),b,5670,a),flip(a)]. 5675 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(58,a,4444,a(flip),b,5670,a),flip(a)]. 5676 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(58,a,4443,a(flip),b,5670,a),flip(a)]. 5677 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(25(a,1),5674(a,1,2))]. 5678 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(125,a,5675,a(flip),b,1408,a(flip)),flip(a)]. 5679 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [para(315(a,1),5675(a,1,2,3))]. 5680 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [para(544(a,1),5675(a,1,2)),flip(a)]. 5681 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(20(a,1),5676(a,1,2))]. 5682 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(259,a,1409,a,b,5678,a),flip(a)]. 5683 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(544(a,1),5682(a,1,2)),flip(a)]. 5684 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(576(a,1),5679(a,1,2))]. 5685 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(4(a,1),5673(a,1,2,2)),flip(a)]. 5686 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(73(a,1),5673(a,1,2,2)),flip(a)]. 5687 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [hyper(125,a,5685,a(flip),b,13,a(flip))]. 5688 L(K(x * y,y),x,z) = K(x * y,y). [hyper(259,a,3028,a(flip),b,5664,a),flip(a)]. 5689 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(5688(a,1),5508(a,1,1)),flip(a)]. 5690 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(4358,a,5668,a),flip(a)]. 5692 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(400,a,5686,a),flip(a)]. 5693 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(259,a,3963,a,b,5690,a),flip(a)]. 5694 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(58,a,4411,a(flip),b,5690,a)]. 5695 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(5690(a,2),3968(a,1,2))]. 5697 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(259,a,4300,a,b,5694,a),flip(a)]. 5698 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(5686(a,1),5694(a,1,2)),flip(a)]. 5699 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(259,a,1409,a,b,5656,a),flip(a)]. 5700 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(259,a,4822,a(flip),b,5699,a),flip(a)]. 5701 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(4445(a,2),5667(a,1))]. 5702 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(70(a,1),5671(a,1,2,1,2)),flip(a)]. 5703 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(58,a,5572,a(flip),b,5677,a)]. 5704 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(93(a,1),5701(a,1,2))]. 5705 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(5(a,1),5702(a,2,2,1))]. 5706 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(58,a,5411,a(flip),b,5705,a)]. 5707 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(58,a,4583,a(flip),b,5705,a)]. 5708 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(58,a,4563,a(flip),b,5705,a)]. 5709 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(58,a,4336,a(flip),b,5705,a),flip(a)]. 5710 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(125,a,5705,a(flip),b,13,a(flip))]. 5711 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(4617,a,5695,a)]. 5712 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(788,a,5711,a),flip(a)]. 5713 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(2871(a,1),5657(a,1,1,2))]. 5714 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,5713,a)]. 5716 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [hyper(124,a,5713,a(flip),b,806,a),flip(a)]. 5717 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(124,a,5713,a(flip),b,726,a)]. 5718 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(89(a,1),5713(a,1,1))]. 5719 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(484(a,1),5713(a,1,1))]. 5720 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(5714(a,1),4581(a,1,1))]. 5722 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(5716(a,1),5244(a,1,1))]. 5723 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5717(a,1),243(a,1,2)),flip(b)]. 5725 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(1618(a,2),5718(a,1,1,2))]. 5730 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(5719(a,1),4739(a,1))]. 5733 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(4073(a,1),5669(a,1,1)),flip(a)]. 5734 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(2967(a,1),5733(a,1,2,2)),flip(a)]. 5736 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(259,a,5665,a(flip),b,5734,a),flip(a)]. 5737 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(5736(a,1),5223(a,1,2))]. 5739 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(3496,a,5737,a)]. 5740 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(3186,a,5737,a)]. 5741 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(58,a,5112,a,b,5737,a)]. 5742 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(5737(a,1),5230(a,1,1)),flip(a)]. 5743 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(5737(a,1),5646(a,2,1))]. 5744 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5653(a,1),5737(a,1,2))]. 5746 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(5739(a,1),3510(a,1,2))]. 5748 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(29,a,5717,a,b,5740,a)]. 5749 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(5670(a,1),5740(a,1,1))]. 5750 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(5040(a,1),5748(a,1,1))]. 5751 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(4437(a,1),5746(a,1,2))]. 5752 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(58,a,5190,a(flip),b,5707,a),flip(a)]. 5754 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5717(a,1),5742(a,1,2)),flip(a)]. 5755 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(120,a,3480,a(flip),b,5754,a),flip(a)]. 5756 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(58,a,5150,a(flip),b,5755,a)]. 5757 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(58,a,5742,a(flip),b,5756,a),flip(a)]. 5758 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(184,a,5742,a(flip),b,5756,a(flip))]. 5759 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(826,a,5757,a)]. 5760 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(259,a,5225,a,b,5757,a),flip(a)]. 5762 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(184,a,5758,a(flip),b,726,a(flip))]. 5763 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(5762(a,1),230(a,1,1)),flip(b)]. 5764 T(x * y,z) * a(x,y,K(z,x * y)) != u | x * (y * K(x * y,z)) = u. [para(5762(a,1),2250(a,1))]. 5765 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(256(a,2),5763(a,1,1))]. 5767 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(1388(a,1),5760(a,2,2,3))]. 5768 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(1275,a,5687,a),flip(a)]. 5769 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(4494(a,1),5687(a,2,2))]. 5770 K(1 / x,x) / L(x,y,z) = 1 / T(L(x,y,z),1 / x). [hyper(123,a,5768,a(flip),b,2190,a(flip))]. 5771 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. [hyper(58,a,386,a(flip),b,5770,a),flip(a)]. 5773 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [hyper(904,a,5771,a(flip))]. 5774 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(5773(a,1),18(a,1,1)),flip(a)]. 5775 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(5103,a,5700,a)]. 5776 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(58,a,5582,a,b,5775,a)]. 5777 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(58,a,3447,a(flip),b,5776,a)]. 5778 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(58,a,5683,a(flip),b,5777,a)]. 5779 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(5778(a,1),4226(a,1,1,2))]. 5780 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(538(a,1),5708(a,2,2))]. 5781 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(3690(a,1),5725(a,2,1))]. 5782 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(259,a,1546,a,b,5741,a)]. 5783 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(1918(a,2),5769(a,2,2))]. 5784 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(536(a,1),5684(a,2,2,1,2))]. 5785 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(60(a,1),5709(a,2,1))]. 5786 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(5785(a,1),4016(a,1,2)),flip(a)]. 5787 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(4552,a,5710,a)]. 5788 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(4252,a,5787,a),flip(a)]. 5789 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(4161,a,5788,a)]. 5790 K(x,y / (x \ z)) != u | K(x,(x * y) / z) = u. [para(5788(a,1),4161(a,1))]. 5791 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(58,a,4979,a,b,5789,a)]. 5792 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(5(a,1),5789(a,1,2,1)),flip(a)]. 5793 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5403,a,5791,a),flip(a)]. 5794 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(3743,a,5792,a)]. 5795 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(58,a,4553,a,b,5793,a)]. 5796 K(x,((x * y) / z) \ x) = K(x,z / y). [para(4(a,1),5793(a,1,2,2)),flip(a)]. 5797 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(6(a,1),5794(a,1,2,2))]. 5798 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(4120,a,5797,a)]. 5799 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(5518,a,5795,a)]. 5800 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(4(a,1),5799(a,1,2,1,1)),flip(a)]. 5801 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [para(362(a,1),5800(a,1,2,1))]. 5802 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(58,a,5796,a(flip),b,5801,a),flip(a)]. 5803 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(3273,a,5802,a),flip(a)]. 5804 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(58,a,4889,a(flip),b,5803,a)]. 5805 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(3482(a,1),5730(a,1,1,2))]. 5806 K(x,y \ ((x \ 1) \ z)) != u | K(x,((x \ 1) * y) \ z) = u. [para(4444(a,1),5730(a,1))]. 5807 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(2871(a,1),5744(a,1,1))]. 5809 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(29,a,5760,a(flip),b,5767,a(flip))]. 5810 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(1960(a,2),5809(a,1,3))]. 5811 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(1962(a,1),5810(a,1,3)),flip(a)]. 5812 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(2958(a,1),5810(a,1,3)),flip(a)]. 5813 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(2985(a,1),5811(a,1,3))]. 5814 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(4032,a,5712,a)]. 5815 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(259,a,3184,a(flip),b,5720,a),flip(a)]. 5816 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(259,a,5716,a(flip),b,5722,a),flip(a)]. 5817 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(4235,a,5779,a),flip(a)]. 5818 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(120,a,5817,a(flip),b,1409,a(flip)),flip(a)]. 5819 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(259,a,1408,a,b,5818,a),flip(a)]. 5820 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(58,a,5341,a(flip),b,5819,a),flip(a)]. 5821 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(259,a,213,a(flip),b,5816,a),flip(a)]. 5822 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(4(a,1),5820(a,1,2,1,2)),flip(a)]. 5823 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(534(a,1),5822(a,1,2,1,2))]. 5825 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(58,a,4833,a(flip),b,5703,a),flip(a)]. 5827 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),5825(a,2,2))]. 5828 K(x,L(y,T(z,x),u)) = K(x,L(y,z,u)). [para(1412(a,2),5827(a,1,2,2))]. 5829 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(1445(a,1),5827(a,1,2,2,1))]. 5830 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(3482(a,2),5827(a,1,2,2))]. 5831 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(5829(a,1),3553(a,1,2,2)),flip(a)]. 5832 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(259,a,3553,a(flip),b,5831,a),flip(a)]. 5833 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(1380(a,1),5832(a,1,1,2)),flip(a)]. 5835 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [hyper(5805,a,xx),flip(a)]. 5836 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(3189(a,2),5835(a,2,2,1))]. 5837 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(3247(a,2),5835(a,2,2,1))]. 5840 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(103(a,1),5781(a,1,1,2,2,1))]. 5841 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(259,a,4631,a(flip),b,5840,a),flip(a)]. 5851 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(58,a,5823,a(flip),b,5784,a),flip(a)]. 5852 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(259,a,5684,a(flip),b,5851,a),flip(a)]. 5853 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(58,a,5594,a(flip),b,5852,a),flip(a)]. 5854 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(1844,a,5853,a)]. 5855 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(3268,a,5854,a)]. 5856 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(5806,a,5855,a)]. 5857 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(5(a,1),5856(a,1,2,1)),flip(a)]. 5858 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(58,a,5680,a(flip),b,5857,a)]. 5859 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(58,a,5571,a(flip),b,5858,a)]. 5860 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(5415,a,5859,a),flip(a)]. 5861 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(58,a,5159,a(flip),b,5860,a)]. 5863 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(58,a,5798,a(flip),b,5861,a),flip(a)]. 5864 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(5186,a,5863,a),flip(a)]. 5865 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(58,a,3755,a(flip),b,5864,a)]. 5866 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(259,a,5675,a(flip),b,5865,a),flip(a)]. 5868 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(7(a,1),5866(a,1,2,1))]. 5869 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(58,a,3755,a,b,5868,a)]. 5870 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(5(a,1),5869(a,1,2,2,1)),flip(a)]. 5871 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [para(315(a,1),5870(a,1,2,2,1)),flip(a)]. 5872 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(5870(a,1),4652(a,1,1))]. 5873 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(5069,a,5871,a),flip(a)]. 5874 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(5873(a,1),4652(a,1,1))]. 5875 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(58,a,4652,a(flip),b,5872,a),flip(a)]. 5876 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(58,a,1899,a(flip),b,5875,a),flip(a)]. 5877 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4975,a,5874,a)]. 5878 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(5804(a,2),4162(a,1))]. 5879 K(x,x \ ((x * R(T(x,y),z,u)) / w)) != v5 | K(x,w \ x) = v5. [para(4536(a,1),5878(a,1))]. 5881 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(1951(a,1),5836(a,1,1,2,1))]. 5882 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(5805,a,5881,a),flip(a)]. 5883 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(3189(a,1),5882(a,1,2,1))]. 5884 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(1961(a,1),5883(a,1,2,1,2)),flip(a)]. 5907 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),5780(a,1,2,1))]. 5909 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),5907(a,1,2))]. 5910 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(4645,a,5909,a)]. 5911 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(259,a,4509,a(flip),b,5910,a),flip(a)]. 5913 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),5911(a,2,2,2))]. 5914 K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). [para(851(a,1),5913(a,1,1,2))]. 5915 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(2010,a,5914,a)]. 5917 K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(58,a,5833,a(flip),b,5915,a)]. 5918 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(5917(a,2),2013(a,1))]. 5919 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(103(a,1),5821(a,1,1))]. 5920 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5662(a,1),5807(a,1,2))]. 5921 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(2871(a,1),5920(a,2,3))]. 5922 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(7(a,1),5782(a,2,1))]. 5923 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(259,a,3579,a,b,5922,a)]. 5924 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(5474(a,1),5923(a,1,1)),flip(a)]. 5925 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(259,a,4626,a(flip),b,5924,a),flip(a)]. 5926 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(58,a,1546,a(flip),b,5925,a),flip(a)]. 5927 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(6(a,1),5926(a,2,1))]. 5928 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(17(a,2),5927(a,1,3))]. 5929 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(5928(a,1),1802(a,1,2))]. 5930 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(5764,a,5929,a),flip(a)]. 5931 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [para(3188(a,2),5930(a,2,2))]. 5932 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(58,a,3365,a,b,5931,a)]. 5933 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [para(3195(a,2),5932(a,2,2))]. 5934 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [hyper(259,a,89,a,b,5933,a),flip(a)]. 5935 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(5185,a,5934,a)]. 5936 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(5935(a,1),4317(a,2,2))]. 5946 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(5658(a,1),5743(a,1,2,2,2,1))]. 5947 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(1863,a,5946,a)]. 5948 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(58,a,5921,a(flip),b,5947,a)]. 5949 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(2956(a,1),5948(a,1,3)),flip(a)]. 5950 a(x,y,a(z,u,K(y,w))) = 1. [hyper(48,a,5949,a)]. 5951 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(4073(a,1),5950(a,1,3,3))]. 5952 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(259,a,89,a(flip),b,5936,a),flip(a)]. 5953 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(3195(a,1),5952(a,2,2))]. 5954 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(103(a,1),5953(a,1,1,2,2,1))]. 5955 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(4189(a,1),5954(a,1,1,2))]. 5956 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(3193(a,1),5955(a,1,1))]. 5957 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(103(a,1),5956(a,1,2,1,1,1))]. 5959 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(5957(a,1),1440(a,1,2)),flip(a)]. 5960 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(259,a,3554,a(flip),b,5959,a),flip(a)]. 5961 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3453,a,5960,a),flip(a)]. 5963 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(58,a,4284,a(flip),b,5961,a),flip(a)]. 5964 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3482(a,1),5783(a,1,1,2,2))]. 5965 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3424(a,1),5964(a,1,1,2))]. 5966 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5830(a,1),5965(a,1,2))]. 5967 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5673(a,1),5966(a,1,2))]. 5969 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(3482(a,1),5967(a,2,2,1,1))]. 5970 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(4026(a,1),5969(a,2,2,1))]. 5971 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(3764(a,2),5970(a,2,2))]. 5972 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(7(a,1),5971(a,2,2,1))]. 5973 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(5972(a,1),1904(a,1,1,2))]. 5992 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(4577(a,1),4580(a,1,1,2,1,1)),flip(a)]. 5993 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(4(a,1),5992(a,2,1,2,1))]. 5995 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(4577(a,1),5993(a,1,1)),flip(a)]. 5996 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(3185(a,1),5995(a,2,2))]. 5997 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(58,a,5077,a,b,5996,a)]. 5998 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(270,a,5997,a)]. 5999 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(3620(a,1),5251(a,1,1,2))]. 6000 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(4(a,1),5999(a,1,1)),flip(a)]. 6001 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(259,a,3523,a(flip),b,6000,a),flip(a)]. 6003 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(3523(a,1),6001(a,1,1,2))]. 6004 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(4586(a,1),6003(a,1,1))]. 6006 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(6004(a,1),5373(a,1,1))]. 6007 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(6(a,1),6006(a,1,1,1)),flip(a)]. 6008 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(259,a,3517,a(flip),b,6007,a),flip(a)]. 6010 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [hyper(124,a,6008,a(flip),b,212,a),flip(a)]. 6011 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(119,a,6010,a(flip),b,1043,a),flip(a)]. 6012 a(x,L(y,z,u),K(w,y)) = 1. [para(1657(a,1),6011(a,1,3))]. 6013 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(47,a,6012,a)]. 6016 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(58,a,4336,a(flip),b,6013,a),flip(a)]. 6017 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(58,a,5439,a(flip),b,6016,a),flip(a)]. 6019 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(4869(a,1),4493(a,1,1))]. 6020 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(4484(a,1),6019(a,1,2,2)),flip(a)]. 6022 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(3064(a,1),6020(a,2,2))]. 6023 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(4484(a,1),6022(a,1,2,2)),flip(a)]. 6024 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(3704(a,1),6023(a,2,2))]. 6026 K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. [para(6024(a,1),5490(a,1))]. 6027 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(4401(a,1),2041(a,2,2))]. 6028 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(60(a,1),6027(a,2,2,2,1))]. 6029 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(1777(a,1),6028(a,2,2))]. 6030 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(1985(a,1),6029(a,1,2,1))]. 6031 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(6029(a,1),5718(a,1,1,2)),flip(a)]. 6032 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(3298(a,1),6030(a,1,2)),flip(a)]. 6033 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(60(a,1),6032(a,2,2,2,1))]. 6034 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(4072(a,1),6033(a,2,2))]. 6035 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(3138(a,1),6034(a,2,2))]. 6036 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(259,a,1619,a(flip),b,6035,a),flip(a)]. 6037 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3482(a,1),5239(a,1,2,1))]. 6038 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3482(a,1),6037(a,1,2,2,1,1))]. 6039 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(1229(a,1),6038(a,1,2))]. 6040 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(4716(a,1),6039(a,1,2))]. 6041 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(58,a,2389,a(flip),b,6040,a),flip(a)]. 6043 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(315(a,1),6041(a,2,1,1))]. 6044 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(2542(a,1),6043(a,1,1))]. 6045 R(K(x,y),K(y,z),u) = K(x,y). [hyper(1262,a,6044,a)]. 6046 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(4(a,1),6044(a,1,2))]. 6047 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(6045(a,1),2915(a,1,1)),flip(a)]. 6048 L(x,K(y,z),K(u,y)) = x. [hyper(540,a,6046,a)]. 6049 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,3515,a(flip),b,6046,a)]. 6050 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(3182(a,2),6046(a,1,1))]. 6051 L(x,K(y,z),K(u,y)) = K(w,v5) * (K(v5,w) * x). [hyper(259,a,3480,a,b,6048,a),flip(a)]. 6052 L(x,K(y,z),K(y,u)) = x. [hyper(58,a,3000,a(flip),b,6048,a)]. 6053 L(x,K(y,z),K(z,u)) = x. [para(1447(a,1),6052(a,1,2))]. 6054 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5525,a,6053,a),flip(a)]. 6055 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(6053(a,1),5525(a,1))]. 6056 (K(x,y) * ((K(y,x) * z) * u)) \ (L(z,K(w,v5),K(v6,w)) * u) = a(K(x,y),K(y,x) * z,u). [para(6051(a,2),9(a,2,2,1)),flip(a)]. 6057 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(3489(a,1),6049(a,1,1))]. 6058 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3480(a,1),6050(a,2,2))]. 6059 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(465,a,6054,a)]. 6060 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(4020(a,1),6054(a,1,1))]. 6061 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(120,a,3026,a(flip),b,6058,a)]. 6062 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(6061(a,1),1955(a,1,1))]. 6063 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(6061(a,1),1988(a,1,1))]. 6064 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(259,a,1409,a(flip),b,6059,a)]. 6065 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(58,a,6054,a(flip),b,6059,a)]. 6066 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(5090(a,1),6060(a,1,1,2)),flip(a)]. 6067 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(3776,a,6065,a)]. 6068 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(1412(a,1),6064(a,2,1)),flip(a)]. 6071 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(6062(a,2),6067(a,1,2))]. 6072 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(3182(a,2),6071(a,1,2,1))]. 6073 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(29,a,1409,a(flip),b,6072,a),flip(a)]. 6075 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(58,a,4863,a(flip),b,6068,a)]. 6076 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(3770,a,6075,a)]. 6077 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(259,a,6073,a,b,6076,a),flip(a)]. 6078 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(259,a,6062,a,b,6076,a),flip(a)]. 6079 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(58,a,4857,a,b,6076,a)]. 6080 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(4653(a,1),6078(a,1,2,2)),flip(a)]. 6081 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(196(a,2),6057(a,1,2,2,2))]. 6082 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(5009(a,1),6066(a,2,1))]. 6083 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(259,a,6054,a(flip),b,6082,a),flip(a)]. 6084 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(5090(a,1),6083(a,1,2,2))]. 6085 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(259,a,6065,a,b,6084,a)]. 6086 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(3963(a,1),6079(a,1,2,2,2))]. 6087 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3646,a,6086,a)]. 6088 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(3963(a,1),6087(a,1,1))]. 6089 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(4995(a,1),6080(a,2,2))]. 6090 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(259,a,6078,a(flip),b,6089,a),flip(a)]. 6091 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(4653(a,1),6090(a,1,1,2))]. 6092 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(6045(a,1),6047(a,2,2,1,1))]. 6093 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(3027(a,1),6092(a,2,2,1))]. 6095 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(3027(a,1),6093(a,1,1,2,1))]. 6096 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(6095(a,1),559(a,1,1,1)),flip(a)]. 6097 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(6095(a,2),5228(a,1,1))]. 6098 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(3939(a,1),6097(a,1,1,1,2,1))]. 6099 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(4991(a,1),6098(a,1,1,1,2))]. 6100 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(6088(a,1),6099(a,1,1,1))]. 6101 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(4974(a,1),3635(a,1,1))]. 6102 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(4974(a,1),6101(a,1,2,1,1)),flip(a)]. 6103 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(3027(a,1),6102(a,2,2,1))]. 6104 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(2899(a,1),6103(a,2,2))]. 6105 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(1411(a,1),6104(a,1,1,1)),flip(a)]. 6106 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(2899(a,1),6105(a,2,1,2))]. 6107 T(x * L(y \ L(y,z,u),y,T(x,(y \ L(y,z,u)) \ 1)),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(2317(a,1),5117(a,2,1,1,2))]. 6108 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(6036(a,1),6031(a,2,1,2))]. 6109 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(5285,a,6108,a),flip(a)]. 6110 L(K(x,x * y),y,z) = K(x,x * y). [hyper(58,a,5841,a(flip),b,6109,a)]. 6112 1 / L(K(x,x * y),y,z) = K(x * y,x). [hyper(184,a,6110,a,b,3027,a)]. 6113 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5666,a,6112,a)]. 6114 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(58,a,5689,a(flip),b,6113,a)]. 6115 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(58,a,5337,a(flip),b,6113,a),flip(a)]. 6117 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(5(a,1),6115(a,1,1,2,1)),flip(a)]. 6120 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(58,a,6017,a,b,6117,a)]. 6121 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(58,a,4342,a(flip),b,6117,a)]. 6122 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(6117(a,1),4348(a,1))]. 6123 K(x \ (y * z),y) = K(y * (x \ z),y). [hyper(3780,a,6121,a)]. 6124 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(6121(a,1),4591(a,1))]. 6125 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(6123(a,1),4518(a,1,1))]. 6126 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(89(a,1),6120(a,1,1,2))]. 6130 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(250(a,1),6114(a,2,1,2))]. 6132 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(4592,a,6126,a)]. 6133 K(x \ (y \ (z * (u * y))),y) != w | K(x \ (z * u),y) = w. [para(6132(a,2),6124(a,1))]. 6134 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(1535(a,1),6130(a,1,1))]. 6135 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(5(a,1),6134(a,1,2))]. 6136 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(58,a,6125,a(flip),b,6135,a)]. 6138 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(4(a,1),6136(a,1,1,1,2)),flip(a)]. 6139 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(6122,a,6138,a)]. 6140 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(58,a,5160,a(flip),b,6139,a),flip(a)]. 6142 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(6133,a,6140,a),flip(a)]. 6143 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),6142(a,2,1))]. 6144 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(5918,a,6143,a),flip(a)]. 6145 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(6143(a,1),5918(a,1))]. 6146 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(5149,a,6144,a)]. 6147 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(6144(a,1),5149(a,1))]. 6148 K(x,L(y,y,z)) = K(x,y). [hyper(3359,a,6146,a),flip(a)]. 6149 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(58,a,5739,a,b,6146,a)]. 6150 (x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)). [hyper(58,a,5718,a,b,6146,a)]. 6151 K(x,L(y,z * y,u)) = K(x,L(y,z,u)). [hyper(58,a,5670,a(flip),b,6146,a),flip(a)]. 6152 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [hyper(125,a,6146,a(flip),b,13,a(flip))]. 6154 K(x,L(x \ y,z,u)) = L(K(x,y),z,u). [para(1378(a,1),6146(a,1,1)),flip(a)]. 6155 K(x \ y,L(x,z,u)) = L(K(y,x),z,u). [para(1406(a,1),6146(a,1,1)),flip(a)]. 6156 (x * y) \ (((x * y) / K(z,L(u,y,x))) * K(z,u)) = ((x * (y * K(z,u))) / K(z,u)) \ (x * y). [para(6146(a,1),2455(a,1,2,1,2))]. 6158 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T(y / T(x,z),x) * K(x,L(z,u,w)). [para(6146(a,1),5531(a,2,2))]. 6159 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(6146(a,1),5737(a,1,2))]. 6160 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(6146(a,1),5740(a,1,1))]. 6161 K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(x,y)) = w. [para(6146(a,1),5746(a,1,2))]. 6162 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * (K(y,x) \ (y \ x))),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(6146(a,1),2716(a,1,2,1,2,1))]. 6163 T(x,L(y,y,z)) = x * K(x,y). [hyper(125,a,6148,a(flip),b,1408,a(flip)),flip(a)]. 6165 T(x,L(y,y,z)) != u | T(x,y) = u. [para(6163(a,2),1421(a,1))]. 6166 K(x,L(y,T(z,y),u)) = K(x,L(y,y \ z,u)). [para(709(a,2),6151(a,1,2,2))]. 6167 K(x,L(x \ y,z,u)) = K(x,L(y,z,u)). [hyper(259,a,6146,a(flip),b,6154,a),flip(a)]. 6168 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(5697(a,1),6147(a,1))]. 6169 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(125,a,6149,a(flip),b,5760,a)]. 6172 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(58,a,5749,a(flip),b,6160,a)]. 6173 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(3966(a,2),6172(a,1,3))]. 6174 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(3526,a,6169,a)]. 6175 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(5530(a,1),6169(a,1,2,2))]. 6176 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(6026,a,6174,a)]. 6177 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(5751,a,6174,a)]. 6178 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(29,a,6159,a,b,6174,a),flip(a)]. 6179 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(29,a,5737,a,b,6174,a)]. 6180 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(5693(a,1),6174(a,1,2))]. 6181 K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)). [hyper(1990,a,6178,a)]. 6182 K(x,(y * (z * u)) \ (y * z)) = K(u,L(x,z,y)). [hyper(58,a,2995,a,b,6178,a)]. 6183 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(58,a,6144,a(flip),b,6178,a),flip(a)]. 6184 K(x,L(y,z,u)) * L(x,z,u) = L(T(x,y),z,u). [hyper(124,a,6178,a(flip),b,1430,a)]. 6185 x * K(y,L(x,z,u)) != w | T(x,L(y,z,u) \ 1) = w. [para(6178(a,1),1949(a,1,2))]. 6188 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(259,a,6160,a,b,6177,a)]. 6189 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(6181(a,1),1988(a,1))]. 6191 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(6146(a,2),6189(a,1))]. 6192 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),6176(a,1,1))]. 6193 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(4564(a,1),6145(a,1))]. 6194 K(x \ y,L(x,z,u)) != w | K(y,L(x,z,u)) = w. [para(6155(a,2),6193(a,1))]. 6196 ((x * y) / (y * K(z,u))) * y = (x * y) * K(u,L(z,y,x)). [para(6150(a,1),114(a,1,2)),flip(a)]. 6197 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(6152(a,1),1421(a,1))]. 6198 T(K(x,(y * (z * u)) \ (y * z)) * w,x) = K(u,L(x,z,y)) * T(w,x). [para(6182(a,1),3849(a,2,1))]. 6199 (K(x,L(y,z,u)) / x) * L(x,z,u) = L(T(x,y),z,u) / x. [hyper(123,a,6184,a(flip),b,2447,a),flip(a)]. 6200 K(L(x,y,z),u \ x) != w | K(u,L(x,y,z)) = w. [para(2985(a,1),6194(a,1))]. 6201 K(x,L(y \ x,z,u)) = K(y,L(x,z,u)). [hyper(6200,a,6178,a),flip(a)]. 6202 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(3182(a,2),6161(a,1))]. 6203 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(4299(a,2),6168(a,1))]. 6204 (x \ y) * K(x,L(y,z,u)) != w | T(x \ y,L(x,z,u) \ 1) = w. [para(6167(a,1),6185(a,1,2))]. 6206 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(6188(a,1),6202(a,1))]. 6207 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(58,a,5407,a(flip),b,6192,a)]. 6208 ((x * y) / (y * K(z,u))) * y = x * (y * K(u,z)). [hyper(259,a,6152,a(flip),b,6196,a),flip(a)]. 6209 (x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)). [para(7(a,1),6208(a,1,1,1))]. 6210 (x \ K(x,L(y,z,u))) * L(x,z,u) = L(T(x,y),z,u) / x. [para(1187(a,1),6199(a,1,1))]. 6211 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [para(3018(a,1),6207(a,2,3))]. 6212 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(4548,a,6211,a)]. 6214 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,w,x) = a(u,z,K(x,y)). [hyper(58,a,1853,a,b,6212,a)]. 6215 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(7(a,1),6212(a,1,2))]. 6216 K(x,L(y,z,u)) * (x \ L(x,z,u)) = L(T(x,y),z,u) / x. [hyper(3868,a,6210,a)]. 6217 K(x,L(y,z,u)) * (x \ L(x,z,u)) != w | x \ L(T(x,y),z,u) = w. [para(6216(a,2),443(a,1))]. 6218 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(6180(a,1),3179(a,1))]. 6222 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(1596,a,6215,a)]. 6223 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(58,a,6117,a(flip),b,6222,a)]. 6224 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(5445(a,1),6223(a,2,3))]. 6225 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),6224(a,2,3,1))]. 6228 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(6225(a,1),3483(a,1,2,1)),flip(a)]. 6229 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(259,a,5758,a(flip),b,6228,a),flip(a)]. 6230 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [hyper(125,a,6229,a(flip),b,1408,a(flip)),flip(a)]. 6231 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(6229(a,1),5809(a,1,3)),flip(a)]. 6232 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(58,a,5812,a,b,6231,a)]. 6233 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(6232(a,1),5750(a,1,2))]. 6234 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(4508(a,1),6217(a,1,1))]. 6238 T(K(x,L(y,z,u)) * w,y) = K(x,L(y,z,u)) * T(w,y). [para(6182(a,1),6198(a,1,1,1))]. 6239 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(5950(a,1),6233(a,1,2)),flip(a)]. 6240 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(259,a,3,a(flip),b,6239,a),flip(a)]. 6242 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(6240(a,1),5232(a,1,2,2)),flip(a)]. 6243 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(259,a,5232,a(flip),b,6242,a),flip(a)]. 6244 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(125,a,6243,a(flip),b,1408,a(flip)),flip(a)]. 6245 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(259,a,1409,a,b,6244,a),flip(a)]. 6246 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T((y / T(x,z)) * K(x,L(z,u,w)),x). [hyper(259,a,3283,a,b,6158,a),flip(a)]. 6247 (x * K(L(y,z,u) \ y,x)) \ L(x,w,x) = a(u,z,K(x,y)). [para(1551(a,1),6214(a,1,1))]. 6248 K(x,L(y,z,u) \ y) * (x \ L(x,w,x)) = a(u,z,K(x,y)). [hyper(3869,a,6247,a)]. 6249 x \ L(T(x,L(y,z,u) \ y),w,x) = a(u,z,K(x,y)). [hyper(6234,a,6248,a)]. 6250 x \ L(T(x,a(y,z,u)),w,x) = a(y,z,K(x,u)). [para(6245(a,1),6249(a,1,2,1))]. 6251 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(1573,a,6250,a)]. 6252 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(1587,a,6251,a),flip(a)]. 6253 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(6251(a,1),1416(a,2,2)),flip(a)]. 6254 a(x,y,K(z,u)) * (z * w) = T(z,a(x,y,u)) * w. [hyper(124,a,6252,a,b,3399,a)]. 6255 a(x,y,K(z,u)) * z = T(z,a(x,y,u)). [hyper(124,a,6252,a,b,1410,a(flip))]. 6256 a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. [para(6252(a,2),1431(a,1,1))]. 6257 a(x,y,K(z,u)) * (z * w) != v5 | T(z,a(x,y,u)) * w = v5. [para(6252(a,2),3433(a,1,1))]. 6258 a(x,x \ 1,K(y,z)) = 1. [hyper(119,a,5108,a(flip),b,6253,a),flip(a)]. 6259 K(x,y) \ (K(x,y) / z) = 1 / z. [hyper(123,a,6258,a(flip),b,4798,a),flip(a)]. 6260 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(120,a,6258,a(flip),b,4799,a),flip(a)]. 6261 K(x,y) * (K(y,x) / z) = z \ 1. [hyper(58,a,3490,a(flip),b,6260,a)]. 6262 K(x,y) * (z \ 1) = K(x,y) / z. [hyper(125,a,6260,a(flip),b,416,a(flip))]. 6263 (x \ 1) * K(y,z) = x \ K(y,z). [para(6260(a,1),797(a,1,1))]. 6264 ((K(x,y) / z) * (u \ 1)) \ K(x,y) = K(x,y) \ ((K(x,y) * u) * z). [para(6260(a,1),915(a,1,1,2))]. 6265 K(x,y) * (1 / z) = K(x,y) / z. [hyper(136,a,6259,a)]. 6266 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [hyper(125,a,3275,a(flip),b,6259,a)]. 6269 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [hyper(124,a,6259,a(flip),b,743,a),flip(a)]. 6272 (x \ 1) * L(L(x \ 1,x,K(y,z)) \ 1,u,w) = L(x \ L(x,u,w),x,K(y,z)). [para(6261(a,1),5599(a,1,1))]. 6273 K(x,y) * ((z \ T(x,y)) \ 1) = (z \ x) \ 1. [hyper(259,a,5281,a(flip),b,6262,a),flip(a)]. 6274 K(x,y) * (z \ K(u,z)) = K(x,y) / T(z,u). [hyper(58,a,2209,a(flip),b,6262,a)]. 6275 (K(x,y) / z) \ 1 = z * K(y,x). [para(6262(a,1),3039(a,1,1))]. 6276 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. [hyper(58,a,3397,a(flip),b,6263,a),flip(a)]. 6277 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2764,a,6263,a(flip))]. 6278 (x * (y \ 1)) \ K(z,u) = (y * (x \ 1)) * K(z,u). [para(284(a,1),6263(a,1,1)),flip(a)]. 6280 T(x \ 1,y) * K(z,u) = T(x,y) \ K(z,u). [para(2198(a,2),6263(a,1,1))]. 6282 T(x \ K(y,z),K(y,z)) != u | K(y,z) * (x \ 1) = u. [para(6263(a,1),4033(a,1,1))]. 6283 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(6193,a,6277,a)]. 6284 K(L(x,y,y \ 1),z) = K(x,z). [hyper(6191,a,6277,a)]. 6285 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [hyper(4360,a,6277,a)]. 6286 K(x,(1 / y) * z) = K(x,y \ z). [para(635(a,1),6283(a,1,2))]. 6287 K(x,(y \ 1) * z) = K(x,y \ z). [para(641(a,1),6283(a,1,2))]. 6288 K(x,y * (z \ 1)) = K(x,y / z). [para(2015(a,1),6283(a,1,2))]. 6290 K(x,y / (z \ 1)) = K(x,y * z). [para(2761(a,1),6283(a,1,2)),flip(a)]. 6291 K(x,L(y * z,y,z)) = K(x,y * z). [para(4794(a,1),6283(a,1,2))]. 6292 K(x,L(y * z,z,y)) = K(x,y * z). [para(4801(a,1),6283(a,1,2))]. 6295 K(x * (y \ 1),z) = K(x / y,z). [para(2015(a,1),6284(a,1,1))]. 6296 K((x \ 1) \ y,z) = K(x * y,z). [para(2754(a,1),6284(a,1,1)),flip(a)]. 6297 K(x / (y \ 1),z) = K(x * y,z). [para(2761(a,1),6284(a,1,1)),flip(a)]. 6299 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(6275(a,1),1900(a,2,2,1,2))]. 6300 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(6275(a,1),5157(a,1,1,1,2))]. 6303 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(6287(a,1),3740(a,1))]. 6304 x \ T(x,y * (z \ 1)) = K(x,y / z). [hyper(1433,a,6288,a)]. 6305 K(x,y / (1 / z)) = K(x,y * z). [para(73(a,1),6288(a,1,2,2)),flip(a)]. 6306 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(6290(a,1),4188(a,1,2))]. 6307 K(x * (1 / y),z) = K(x / y,z). [hyper(3887,a,6295,a)]. 6308 K(x / (1 / y),z) = K(x * y,z). [para(73(a,1),6295(a,1,1,2)),flip(a)]. 6309 K(x * (y \ 1),z) != u | K(z,y / x) = u. [para(6295(a,2),3091(a,1))]. 6310 K(x,y \ (z \ 1)) = K(z * y,x). [hyper(3072,a,6296,a)]. 6312 x \ T(x * y,z) = y * K(x * y,z). [para(6296(a,1),3157(a,2,2))]. 6314 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(6297(a,2),4000(a,1,2))]. 6315 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(6305(a,1),4010(a,1,2)),flip(a)]. 6316 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [para(6310(a,2),3979(a,1,2))]. 6317 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(6292(a,1),4300(a,1,2)),flip(a)]. 6318 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [hyper(125,a,1205,a,b,6276,a)]. 6319 T(x,y * (z \ 1)) = T(x,y / z). [hyper(33,a,1408,a(flip),b,6304,a),flip(a)]. 6320 T(x,y * (1 / z)) = T(x,y / z). [hyper(58,a,1707,a,b,6319,a)]. 6321 T(x,y / (z \ 1)) = T(x,y * z). [hyper(58,a,1709,a(flip),b,6319,a),flip(a)]. 6322 T(x,(y / (z \ 1)) / z) = T(x,y). [para(7(a,1),6319(a,1,2)),flip(a)]. 6323 T(x,y / (1 / z)) = T(x,y * z). [para(73(a,1),6319(a,1,2,2)),flip(a)]. 6324 T(x,y * (1 / z)) = x * K(x,y / z). [hyper(259,a,1409,a(flip),b,6320,a),flip(a)]. 6325 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(3341,a,6321,a)]. 6326 T(x,y \ ((y \ 1) \ z)) = T(x,z). [para(1973(a,1),6322(a,1,2))]. 6327 T(T(x,y * z),z \ (y \ 1)) = x. [hyper(3078,a,6325,a)]. 6329 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [para(512(a,1),6326(a,1,2,2)),flip(a)]. 6330 T(x,y \ (z \ 1)) * (z * y) = (z * y) * x. [hyper(125,a,6327,a(flip),b,106,a),flip(a)]. 6331 x * (y * K(x * y,z)) = T(x * y,z). [hyper(136,a,6312,a)]. 6335 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(6324(a,2),1421(a,1))]. 6337 T(x,(y \ x) \ (z \ 1)) != u | T(x,y * (z \ x)) = u. [para(6329(a,1),2044(a,1))]. 6338 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(6197,a,6331,a)]. 6340 T(x * y,y \ z) = ((x * y) \ (x * z)) \ (x * z). [hyper(607,a,6338,a),flip(a)]. 6341 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(125,a,6338,a(flip),b,529,a)]. 6342 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(2015(a,1),6285(a,1,2,2))]. 6343 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(318(a,1),6335(a,1,2,2))]. 6344 T(L(x,y,z) * (z * y),x) = z * (y * x). [hyper(2337,a,6341,a)]. 6345 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. [hyper(123,a,6341,a(flip),b,1143,a),flip(a)]. 6346 T(L(x,y,y * (z / y)) * ((y * (z / y)) * y),x) = z * (T(y,z) * x). [hyper(259,a,3621,a(flip),b,6344,a),flip(a)]. 6347 T(L(x,y,z / y) * z,x) = (z / y) * (y * x). [para(7(a,1),6344(a,1,1,2))]. 6348 T(((x * y) \ z) * (x * y),y \ (x \ z)) = x * (y * (y \ (x \ z))). [para(250(a,1),6344(a,1,1,1))]. 6349 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(6269(a,1),3789(a,1,1))]. 6350 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(3274,a,6273,a(flip))]. 6351 L(x \ y,x,K(y,z)) = x \ y. [hyper(4715,a,6350,a)]. 6352 L(x \ 1,x,T(y,z)) * y = x \ y. [hyper(3775,a,6350,a)]. 6353 (x \ y) * K(y,z) = x \ T(y,z). [hyper(3526,a,6350,a)]. 6354 T(x,y) / (z \ x) = K(x,y) * z. [hyper(184,a,6350,a(flip),b,4714,a)]. 6356 a(K(x,y),z,z \ x) = 1. [hyper(48,a,6351,a)]. 6357 a(K(x * y,z),x,y) = 1. [para(4(a,1),6356(a,1,3))]. 6358 a(K(x,K(y,z * u)),z,u) = 1. [para(3941(a,1),6357(a,1,1))]. 6359 (x / y) \ T(x,z) = y * K(x,z). [hyper(626,a,6353,a),flip(a)]. 6362 K(x,y) * (x / z) = T(x,y) / z. [para(73(a,1),6354(a,1,2)),flip(a)]. 6365 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(3966(a,2),6359(a,2,2))]. 6366 K(x,y) * (T(y,x) / z) = y / z. [hyper(3496,a,6362,a)]. 6367 T(T(x,y) / z,x) = K(x,y) * (z \ x). [para(6362(a,1),3851(a,1,1))]. 6368 x / (y \ T(x,z)) = K(z,x) * y. [para(70(a,1),6366(a,1,2)),flip(a)]. 6369 K(x,x * y) * ((y * x) / z) = (x * y) / z. [para(708(a,1),6366(a,1,2,1))]. 6370 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(3044(a,1),6366(a,1,1))]. 6371 T(K(x,y) * z,y) = (z \ T(y,x)) \ y. [para(6368(a,1),348(a,1,1))]. 6372 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [hyper(30,a,797,a,b,6352,a),flip(a)]. 6373 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K((x * z) * (z \ y),y) * (u \ ((x * z) * (z \ y))). [para(2733(a,1),6367(a,1,1,1))]. 6374 (x \ T(y * z,y)) \ (y * z) = T(K(y,z) * x,y * z). [para(1388(a,1),6371(a,1,1,1)),flip(a)]. 6375 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(6306(a,1),2654(a,1,1))]. 6376 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(6315(a,1),6173(a,1,3))]. 6377 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(58,a,5786,a(flip),b,6316,a),flip(a)]. 6378 (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). [hyper(1110,a,6330,a)]. 6379 ((x * y) * z) \ ((T(z,y \ (x \ 1)) * x) * y) = a(T(z,y \ (x \ 1)),x,y). [para(6330(a,1),9(a,2,1)),flip(a)]. 6380 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(318(a,2),6342(a,1,2,2,2))]. 6381 K(x,y) * ((y * x) / z) = (x * y) / z. [para(1388(a,1),6369(a,1,1))]. 6383 K(x,y) * ((y * x) / z) != u | (x * y) / z = u. [para(6381(a,1),3510(a,1,2))]. 6384 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(5031,a,6370,a)]. 6385 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(2858(a,1),6384(a,1,1,1,1))]. 6386 (x * y) * (((x * (y * z)) / z) \ (x * y)) = z * (L(z,y,x) \ (x * y)). [para(6345(a,1),177(a,1,2,1))]. 6387 T(L(x,y,y \ z) * z,x) = (z / y) * (y * x). [para(4757(a,1),6347(a,1,1,1))]. 6388 L(x,y,y \ z) * z = x * (((z / y) * (y * x)) / x). [hyper(770,a,6387,a),flip(a)]. 6389 L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x. [para(6387(a,1),2304(a,1,1)),flip(a)]. 6390 T(x * y,y \ z) = T(x * y,x * z). [hyper(259,a,316,a,b,6340,a),flip(a)]. 6391 T(x * y,x * (y / z)) = T(x * y,z \ 1). [hyper(3358,a,6390,a),flip(a)]. 6392 T((x / y) * z,z \ y) = T((x / y) * z,x). [para(7(a,1),6390(a,2,2))]. 6393 T(x * y,(x \ 1) \ 1) \ (x * (y / (x \ 1))) = T(L(x,x \ 1,y),x * (y / (x \ 1))). [para(6391(a,1),2296(a,1,1))]. 6394 x \ (y * (L(y,z,z \ x) \ x)) = (((x / z) * (z * y)) / y) \ x. [para(6389(a,1),467(a,1,1)),flip(a)]. 6395 T(K(x,y) * z,x * y) = (z \ (y * x)) \ (x * y). [para(708(a,1),6374(a,1,1,2)),flip(a)]. 6396 (K(x,y) * z) \ (x * y) = z \ (y * x). [hyper(347,a,6395,a)]. 6397 ((x * y) / z) * (y * x) = (x * y) * (z \ (y * x)). [para(6396(a,1),869(a,1,2)),flip(a)]. 6398 T((x * y) / z,y * x) = K(x,y) * (z \ (y * x)). [hyper(216,a,6397,a,b,3470,a)]. 6400 ((x * y) * (z \ (x * y))) / T(x,y) = ((x * y) * (z \ (y * x))) / x. [para(6397(a,1),3371(a,2,1))]. 6401 T(x \ (y * z),K(y,z)) = K(y,z) * (x \ (z * y)). [hyper(58,a,4231,a(flip),b,6398,a)]. 6402 (x \ (y * z)) * K(z,y) = x \ (z * y). [hyper(4180,a,6401,a)]. 6403 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(174(a,1),6402(a,1,1)),flip(a)]. 6405 K(x,y) * (z \ (y * x)) != u | T(z \ (x * y),K(x,y)) = u. [para(6402(a,1),4150(a,1,2))]. 6407 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(259,a,2954,a(flip),b,6403,a),flip(a)]. 6409 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(4139,a,6377,a),flip(a)]. 6410 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(4145,a,6409,a)]. 6411 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(1497(a,2),6410(a,2,2))]. 6412 x * (L(x,y,y \ z) \ z) = ((z / (y * x)) * y) * x. [hyper(33,a,2475,a(flip),b,6394,a),flip(a)]. 6413 T((x / (y * z)) * y,z) = L(z,y,y \ x) \ x. [hyper(217,a,6412,a)]. 6414 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (L(K(u,x),w,w \ v5) \ v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [hyper(58,a,5249,a,b,6412,a)]. 6415 K(x,y) * (L(K(x,y),x \ z,(x \ z) \ u) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(4483(a,2),6412(a,2,1,1,2))]. 6416 K(x,y) * (L(K(x,y),z \ x,(z \ x) \ u) \ u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(6353(a,1),6412(a,2,1,1,2))]. 6417 T((x / T(y,z \ y)) * z,y / z) = L(y / z,z,z \ x) \ x. [para(970(a,2),6413(a,1,1,1,2))]. 6418 T(((x / y) * K(y,z)) * z,y / z) = L(y / z,z,z \ x) \ x. [para(3598(a,1),6417(a,1,1,1))]. 6419 T((x / y) * T(z,y \ z),y / z) = L(y / z,z,z \ x) \ x. [para(2934(a,1),6418(a,1,1))]. 6420 L(x / y,y,y \ z) \ z = y * T(z / x,x). [hyper(58,a,4724,a(flip),b,6419,a),flip(a)]. 6421 L(x / y,y,y \ z) \ z = y * (x \ z). [para(105(a,1),6420(a,2,2))]. 6422 L(x,y,y \ z) \ z = y * ((x * y) \ z). [para(6(a,1),6421(a,1,1,1))]. 6423 x / (y * ((z * y) \ x)) = L(z,y,y \ x). [hyper(185,a,6422,a)]. 6425 L(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)). [para(4(a,1),6422(a,1,1,3))]. 6426 ((x / (y * z)) * y) * z = z * (y * ((z * y) \ x)). [para(6422(a,1),6412(a,1,2)),flip(a)]. 6427 L(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(124,a,6423,a(flip),b,656,a)]. 6428 ((x / y) * (y * z)) / z = z \ ((z * y) * (y \ x)). [hyper(120,a,6427,a(flip),b,6388,a(flip)),flip(a)]. 6430 R(x,y,z) = L(x,y,z). [hyper(1264,a,6425,a)]. 6431 L(x,y,z) = ((x * y) * z) / (y * z). [hyper(2572,a,6430,a),flip(a)]. 6433 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(259,a,6146,a(flip),b,6430,a),flip(a)]. 6434 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(58,a,4919,a(flip),b,6430,a),flip(a)]. 6435 L((x / y) / z,z,y) = x / (z * y). [hyper(58,a,251,a(flip),b,6430,a),flip(a)]. 6436 L(x,y,z) * (y * z) = (x * y) * z. [hyper(124,a,6430,a(flip),b,15,a(flip))]. 6437 T((x * y) * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(6430(a,1),739(a,1,2))]. 6440 L(x,y,R(x \ 1,z,u)) = x. [para(6430(a,2),2777(a,1,3))]. 6442 K(x,R(y,x,z)) = K(x,y). [para(6430(a,2),4363(a,1,2))]. 6444 K(R(x,y,z),u) = K(x,L(u,y,z)). [para(6430(a,2),6178(a,1,1))]. 6445 L(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [para(6430(a,1),6407(a,1,1))]. 6447 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(58,a,5101,a(flip),b,6442,a)]. 6449 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(26(a,1),6442(a,1,2))]. 6452 L(L(x,y,z),u,R(L(x,y,z) \ 1,w,v5)) = R(x,y,z). [hyper(259,a,6430,a,b,6440,a),flip(a)]. 6453 R(K(x,y),z,u) = K(x,R(y,z,u)). [para(6430(a,2),6433(a,2,2))]. 6455 K(x,L(y,z,u)) * ((R(x,z,u) * y) \ w) = (y * R(x,z,u)) \ w. [para(6444(a,1),3474(a,1,1))]. 6456 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(58,a,6433,a(flip),b,6453,a),flip(a)]. 6457 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [para(6453(a,1),5009(a,1,2))]. 6458 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(864(a,1),6456(a,1,2)),flip(a)]. 6461 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(6435(a,1),5698(a,2,2,2))]. 6462 L(x,y,x \ L(x,z,u)) = x. [hyper(30,a,2879,a(flip),b,6436,a),flip(a)]. 6463 x * T(y,x * x) = T(y * x,x). [hyper(216,a,6436,a(flip),b,646,a),flip(a)]. 6464 T(x,y) * T(x,y) = T(x * x,y). [hyper(216,a,6436,a(flip),b,4775,a(flip)),flip(a)]. 6465 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(6436(a,1),39(a,1))]. 6467 T(T(x,y),y) = T(x,y * y). [hyper(216,a,730,a(flip),b,6463,a)]. 6468 T(x * y,x * x) = T(y * x,x). [hyper(1255,a,6467,a),flip(a)]. 6469 K(x,y) * (K(x,y) * z) = y * (T(y,x * x) \ z). [para(6467(a,1),4391(a,2,2,1))]. 6470 x * T(T(x,y),y) = T(x * x,y). [hyper(3342,a,6464,a)]. 6471 T(x * x,K(y,z)) = x * x. [para(4024(a,1),6470(a,1,2)),flip(a)]. 6472 K(x,K(y,z * z)) = 1. [hyper(119,a,6471,a,b,3945,a),flip(a)]. 6473 T(x,K(y,z * z)) = x. [hyper(51,a,6472,a)]. 6474 K(x * x,y) * z = z * K(x * x,y). [hyper(4030,a,6473,a),flip(a)]. 6475 T(K(x * x,y),z) = K(x * x,y). [hyper(3277,a,6473,a)]. 6478 K(x,y / (z * x)) = K(x,y / z). [hyper(259,a,1378,a(flip),b,6447,a),flip(a)]. 6479 K(x,y / (x * z)) = K(x,y / z). [hyper(4386,a,6478,a)]. 6480 K(x,y / (x \ z)) = K(x,y / z). [para(5(a,1),6479(a,1,2,2)),flip(a)]. 6481 K(x,(x * y) / z) = K(x,y / z). [hyper(5790,a,6480,a)]. 6482 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(1588,a,6481,a)]. 6483 (K(x * x,y) * (z * u)) / T(z,u * K(x * x,y)) = z \ ((z * u) * K(x * x,y)). [para(6474(a,2),1791(a,1,1))]. 6484 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(5879,a,6482,a),flip(a)]. 6486 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(58,a,4657,a,b,6449,a)]. 6487 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(58,a,5644,a(flip),b,6484,a)]. 6489 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(58,a,5706,a(flip),b,6487,a)]. 6491 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(259,a,4031,a(flip),b,6457,a),flip(a)]. 6493 K(x,y) * T(z,K(u,R(x,w,v5))) != v6 | T(K(x,y) * z,K(x,R(u,w,v5))) = v6. [para(6457(a,1),5041(a,1,2))]. 6495 K(((x \ y) * x) / z,T(u,x \ y)) != w | y \ (x * (K((x \ y) / (z / x),u) * (x \ y))) = w. [para(6434(a,1),3204(a,1))]. 6496 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5723,a,6445,a)]. 6498 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(259,a,4537,a(flip),b,6489,a),flip(a)]. 6499 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(58,a,5752,a,b,6498,a)]. 6501 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(2439(a,1),6499(a,1,2,2))]. 6502 x \ (((x / y) * (y * z)) / z) = a(z,y,y \ x). [hyper(120,a,6428,a,b,2593,a(flip))]. 6503 x \ ((x * y) * (y \ (z * y))) = (z * (y * x)) / x. [para(6(a,1),6428(a,1,1,1)),flip(a)]. 6505 (x * y) * R(x,x,y) != z | T((x * x) * y,x) = z. [para(6437(a,1),6165(a,1))]. 6506 K(x,y) * (K(x,y) * z) = K(x * x,y) * z. [hyper(259,a,3545,a(flip),b,6469,a),flip(a)]. 6507 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(6491(a,1),5427(a,1,2))]. 6508 x \ ((x * y) * T(z,y)) = (z * (y * x)) / x. [para(17(a,2),6503(a,1,2,2))]. 6509 (K(x * x,y) * (z * u)) / u = u \ ((u * z) * K(x * x,y)). [para(6475(a,1),6508(a,1,2,2)),flip(a)]. 6510 R(x,y,z) != u | L(x,y,z) = u. [para(6452(a,1),399(a,1)),flip(b)]. 6511 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [para(6452(a,1),5654(a,1,2,1))]. 6515 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(1096(a,1),6511(a,1,2,1)),flip(a)]. 6516 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(u,1 / u)). [para(1039(a,1),6458(a,1,2)),flip(a)]. 6517 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(6442(a,1),6486(a,1,1))]. 6518 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(6517(a,2),4703(a,2,1)),flip(a)]. 6520 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(259,a,4523,a(flip),b,6501,a),flip(a)]. 6521 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(5(a,1),6520(a,1,2,2,2,1))]. 6522 (K(x * x,y) * (z * u)) / T(z,u) = z \ ((z * u) * K(x * x,y)). [hyper(58,a,3152,a,b,6509,a)]. 6523 K(x,y * z) * ((R(x,y,z) * (y * z)) \ u) = ((y * z) * R(x,y,z)) \ u. [para(6291(a,1),6455(a,1,1))]. 6524 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(6308(a,1),6461(a,1,2))]. 6525 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(58,a,5814,a,b,6496,a)]. 6526 (x * ((K(y,z) / u) \ 1)) * K(y,z) = K(y,z) \ ((K(y,z) * x) * u). [hyper(58,a,6278,a(flip),b,6264,a)]. 6527 T(T(x,y * z),z \ (y \ x)) = y * (z * (z \ (y \ x))). [para(709(a,2),6348(a,1,1))]. 6528 T(T(x,y * z),z \ (y \ x)) = x. [hyper(259,a,66,a(flip),b,6527,a),flip(a)]. 6529 T(x,(y \ x) \ z) = T(x,y * z). [hyper(3078,a,6528,a)]. 6531 T(x,y * (z \ 1)) = T(x,y * (z \ x)). [hyper(6337,a,6529,a),flip(a)]. 6532 K(x,(y \ x) \ z) = x \ T(x,y * z). [hyper(120,a,6529,a(flip),b,1409,a(flip)),flip(a)]. 6533 T(x,y * (z \ x)) = T(x,y / z). [hyper(6343,a,6531,a),flip(a)]. 6534 T(x * (y \ z),T(z,x / y)) = T(x * (y \ z),z). [para(6533(a,1),995(a,1,2))]. 6535 K(x,(y \ x) \ z) = K(x,y * z). [hyper(259,a,1408,a,b,6532,a),flip(a)]. 6536 K(x,(y \ x) * z) = K(x,y \ z). [hyper(58,a,4476,a(flip),b,6535,a),flip(a)]. 6537 K(x,(x / y) * z) = K(x,y \ z). [para(73(a,1),6535(a,1,2,1)),flip(a)]. 6538 K(x,(y \ x) * z) != u | K(x,x * (y \ z)) = u. [para(6536(a,2),1575(a,1))]. 6539 K((x / y) * z,x) = K(x,z \ y). [hyper(1861,a,6537,a)]. 6541 K(x,y \ (z \ x)) = K(z * y,x). [para(70(a,1),6539(a,1,1,1)),flip(a)]. 6542 K(x * (y \ 1),z) = K(z,y * (x \ z)). [hyper(6303,a,6541,a),flip(a)]. 6543 K(x,y * (z \ x)) = K(x,y / z). [hyper(6309,a,6542,a),flip(a)]. 6544 K(x * (y \ z),z) = K(z,y / x). [hyper(58,a,1659,a,b,6543,a)]. 6545 K(x,y / (x / z)) = K(x,y * z). [para(73(a,1),6543(a,1,2,2)),flip(a)]. 6546 K(x,y * (x / z)) = K(x,y / z). [hyper(58,a,3700,a(flip),b,6545,a),flip(a)]. 6547 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [para(6546(a,1),3963(a,1,2)),flip(a)]. 6548 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(259,a,3963,a,b,6547,a),flip(a)]. 6549 T((x * y) * (y \ z),T(z,x)) = T((x * y) * (y \ z),z). [para(6(a,1),6534(a,1,2,2))]. 6550 T(T((x * y) * (y \ z),z) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(6549(a,1),5520(a,1,1,1))]. 6551 ((x * y) * (z \ (y * x))) / x = (x * y) / (y \ z). [hyper(58,a,916,a(flip),b,6400,a),flip(a)]. 6552 K(x,y) \ ((K(x,y) * z) * u) = (z * (u * K(y,x))) * K(x,y). [para(6275(a,1),6526(a,1,1,2)),flip(a)]. 6553 (x * (y * K(z,u))) * K(u,z) = K(z,u) * ((K(u,z) * x) * y). [hyper(3498,a,6552,a),flip(a)]. 6554 (x * (y * K(z,u))) * K(u,z) != w | K(z,u) * ((K(u,z) * x) * y) = w. [para(6552(a,1),3498(a,1))]. 6555 (x * T(y / T(z,u),z)) * K(z,u) = K(u,z) * ((K(z,u) * x) * (z \ y)). [para(3595(a,2),6553(a,1,1,2))]. 6556 T(L(x,y,z) * ((y * (z / y)) * y),x) = z * (T(y,z) * x). [para(5292(a,1),6346(a,1,1,1))]. 6557 T(L(x,y,z) * (y * z),x) = z * (T(y,z) * x). [para(712(a,1),6556(a,1,1,2))]. 6558 T((x * y) * z,x) = z * (T(y,z) * x). [para(6436(a,1),6557(a,1,1))]. 6559 T((x * y) * z,x) = (y * (z / y)) * (y * x). [hyper(259,a,3621,a,b,6558,a),flip(a)]. 6560 x * (T(y \ z,x) * y) = T(z * x,y). [para(5(a,1),6558(a,1,1,1)),flip(a)]. 6561 T(x,y \ z) * T(y,z) = T(y * x,z). [hyper(3831,a,6560,a)]. 6562 T((x * y) * z,x) = T(z,y \ 1) * (y * x). [para(1929(a,2),6559(a,2,1))]. 6563 T((x * y) * z,x) / T(T(z,y \ 1) * y,x) = L(x,y,T(z,y \ 1)). [hyper(123,a,6562,a,b,6341,a)]. 6564 (T(x,y \ 1) * z) \ ((T(x,y \ 1) * (z * y)) / y) = ((T(x,y \ 1) * z) * T(y,z)) \ T((z * y) * x,z). [para(6562(a,2),3372(a,1,2)),flip(a)]. 6565 (x * y) * z != u * (L(u,y,x) \ (x * y)) | ((x * (y * u)) / u) \ (x * y) = z. [para(6386(a,1),38(a,1)),flip(a)]. 6566 T((x * y) * z,x) / T(y * z,x) = L(x,y,T(z,y \ 1)). [para(1937(a,1),6563(a,1,2,1))]. 6567 T((x * x) * y,x) / (y * x) = L(x,x,T(y,x \ 1)). [para(708(a,1),6566(a,1,2))]. 6568 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(4972(a,1),6518(a,2,1))]. 6569 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(259,a,4703,a(flip),b,6568,a),flip(a)]. 6570 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(6517(a,1),6569(a,1,1))]. 6571 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(259,a,5076,a(flip),b,6570,a),flip(a)]. 6572 K(x,y * z) * (((x * y) * z) \ u) = ((y * z) * R(x,y,z)) \ u. [para(99(a,1),6523(a,1,2,1))]. 6573 T(((x * y) * z) \ (x * (y * z)),K(x,y * z)) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [hyper(6405,a,6572,a)]. 6574 ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,y \ (x \ 1)),x,y). [para(6378(a,1),6379(a,1,2))]. 6575 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(259,a,2201,a,b,6515,a),flip(a)]. 6576 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(259,a,3297,a(flip),b,6575,a),flip(a)]. 6577 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(3347,a,6576,a),flip(a)]. 6578 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(259,a,1733,a(flip),b,6577,a),flip(a)]. 6579 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(2559(a,1),6577(a,2,2,1))]. 6580 L(x \ L(x,y,z),x,K(u,w)) = (x \ 1) * L((x \ 1) \ 1,y,z). [para(6260(a,1),6272(a,1,2,1,1)),flip(a)]. 6582 L(x \ L(x,y,z),x,K(u,w)) = x \ L(x,y,z). [hyper(259,a,2142,a(flip),b,6580,a),flip(a)]. 6584 T((x / T(y,z)) * K(y,L(z,u,w)),y) = (y \ x) * (K(z,y) * L(K(y,z),u,w)). [para(3027(a,1),6246(a,1,2,2,1)),flip(a)]. 6585 T((x / T(y,z)) * K(y,L(z,u,w)),y) = (y \ x) * (K(z,y) * K(y,L(z,u,w))). [para(6146(a,1),6584(a,2,2,2))]. 6586 T(x,y * K(z * z,u)) = T(x,y). [hyper(31,a,6522,a,b,6483,a),flip(a)]. 6588 K(x,y * K(z * z,u)) = x \ T(x,y). [hyper(120,a,6586,a(flip),b,1409,a(flip)),flip(a)]. 6589 T(x,K(y * y,z) * u) = T(x,u). [para(3195(a,1),6586(a,1,2))]. 6591 T(x,K(y,z) * (K(y,z) * u)) = T(x,u). [para(6506(a,2),6589(a,1,2))]. 6592 K(x,y * K(z * z,u)) = K(x,y). [hyper(259,a,1408,a,b,6588,a),flip(a)]. 6593 K(x,T(y,z * z) \ u) = K(x,y \ u). [para(3786(a,1),6592(a,1,2))]. 6594 K(K(x,y) * (K(x,y) * z),u) = u / T(u,z). [hyper(184,a,6591,a(flip),b,1384,a(flip)),flip(a)]. 6595 T(x,K(y,z) * u) = T(x,K(z,y) * u). [para(3480(a,1),6591(a,1,2,2))]. 6596 K(x,T(T(y,z),z) \ u) = K(x,y \ u). [para(6467(a,2),6593(a,1,2,1))]. 6597 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(6468(a,1),6593(a,1,2,1))]. 6598 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(120,a,6595,a,b,1409,a(flip))]. 6599 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(978(a,1),6596(a,1,2,1,1)),flip(a)]. 6600 K(K(x,y) * (K(x,y) * z),u) = K(z,u). [hyper(259,a,1379,a,b,6594,a),flip(a)]. 6601 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [para(3382(a,1),6600(a,1,1,2))]. 6602 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(1427,a,6598,a)]. 6603 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(6598(a,1),1427(a,1))]. 6604 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(1951(a,1),6602(a,1,2,1)),flip(a)]. 6605 K(x,K(y,z \ u) * w) = K(x,K(y,u \ z) * w). [para(2985(a,1),6602(a,1,2,1))]. 6606 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(3482(a,2),6602(a,1,2))]. 6607 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(3261(a,1),6602(a,1,2)),flip(a)]. 6608 K(x,K(y,z) * ((z \ y) * u)) = K(x,(y / z) * u). [para(3807(a,1),6602(a,1,2)),flip(a)]. 6609 K(x,K(y,z) * (K(y,z) / u)) = K(u,x). [hyper(2998,a,6606,a),flip(a)]. 6610 K(K(x,y) * (x \ z),u) = K(u,z \ T(x,y)). [hyper(259,a,2985,a(flip),b,6601,a),flip(a)]. 6611 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(3641(a,2),6601(a,1,1))]. 6612 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6604(a,1),5837(a,1,1))]. 6613 K(T(x,y \ 1) \ z,u) = K(u,z \ T(x,y)). [para(3557(a,2),6610(a,1,1))]. 6614 K(x,y \ (z * (u / z))) = K(T(u,z) \ y,x). [hyper(3072,a,6611,a)]. 6615 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [hyper(3072,a,6613,a)]. 6616 K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. [para(6614(a,2),3072(a,1))]. 6617 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(3120(a,1),6615(a,1,2,2))]. 6618 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [hyper(6603,a,6605,a)]. 6619 K(x,(x / y) * z) != u | K(x,(y \ x) * z) = u. [para(6608(a,1),3742(a,1))]. 6620 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [para(1406(a,1),6618(a,1,2,1)),flip(a)]. 6621 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(3261(a,1),6620(a,1,2))]. 6622 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(259,a,6607,a(flip),b,6621,a),flip(a)]. 6623 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(5236(a,1),6622(a,1,2))]. 6624 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(2534(a,1),6623(a,1,2,2,2)),flip(a)]. 6625 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(5805,a,6612,a),flip(a)]. 6626 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(3247(a,1),6625(a,1,2,1))]. 6627 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(5972(a,1),6525(a,1,1))]. 6628 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(4020(a,1),6627(a,1,1,2))]. 6629 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(5(a,1),6578(a,1,2,1,2))]. 6630 T(L(x,x \ 1,y),x * (y / (x \ 1))) = T(x * y,x) \ (x * (y / (x \ 1))). [para(315(a,1),6393(a,1,1,2)),flip(a)]. 6631 T(L(x,x \ 1,y),x * (y / (x \ 1))) = (y * x) \ (x * (y / (x \ 1))). [para(708(a,1),6630(a,2,1))]. 6632 L(T(x,x * (y / (x \ 1))),x \ 1,y) = (y * x) \ (x * (y / (x \ 1))). [hyper(58,a,20,a,b,6631,a)]. 6633 L(T(x,y / (x \ 1)),x \ 1,y) = (y * x) \ (x * (y / (x \ 1))). [para(358(a,1),6632(a,1,1))]. 6634 (x * y) \ (y * (x / (y \ 1))) = L(T(y,x),y \ 1,x). [para(2459(a,1),6633(a,1,1)),flip(a)]. 6635 (x * y) \ (y * (x / (y \ 1))) = x \ ((y \ 1) \ x). [hyper(259,a,859,a(flip),b,6634,a),flip(a)]. 6636 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = L(L((x \ 1) \ 1,x \ 1,y),z,u) * ((x \ 1) * y). [para(6635(a,2),2361(a,2,2,2,1)),flip(a)]. 6637 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(((y \ 1) \ x) / x,z,u) * (x * (((y \ 1) \ x) \ x)). [para(6635(a,2),2551(a,2,2,2,2,1)),flip(a)]. 6638 T((x * y) \ ((x * (y * z)) / z),K(x,y * z)) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [para(2701(a,1),6573(a,1,1))]. 6639 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4316(a,1),6300(a,1,1,1,2))]. 6640 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(816(a,1),6639(a,1,1,1)),flip(a)]. 6641 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(1742(a,2),6640(a,1,2,2,1))]. 6642 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(73(a,1),6641(a,1,2,2))]. 6644 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2223(a,1),6642(a,1,2))]. 6645 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(184,a,6644,a,b,xx)]. 6646 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(6442(a,1),6507(a,1,2,2))]. 6647 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(933(a,1),6646(a,2,2))]. 6649 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(3665(a,1),6647(a,1,2))]. 6650 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(5963(a,2),6649(a,1,1))]. 6651 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(4056(a,1),6650(a,1,1,1))]. 6652 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(2394(a,2),6651(a,1,2,2))]. 6653 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(315(a,1),6624(a,2,2,2,2,1))]. 6654 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(4211(a,1),6653(a,1,2))]. 6655 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(5035(a,1),6654(a,1,2)),flip(a)]. 6656 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(259,a,4080,a(flip),b,6655,a),flip(a)]. 6658 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(58,a,6629,a(flip),b,6656,a)]. 6659 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(778(a,1),6658(a,1,2,2,1))]. 6660 (x * (y \ z)) \ (((x * (y \ z)) / K(u,L(y,y \ z,x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(3595(a,2),6156(a,2,1,1,2))]. 6661 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(6231(a,1),6175(a,1,1))]. 6662 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(5951(a,1),6661(a,1,1))]. 6663 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(126,a,6662,a)]. 6665 K(x,y \ ((y / z) * L(z,u,w))) = K(x,z \ L(z,u,w)). [hyper(58,a,4699,a(flip),b,6663,a)]. 6666 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(58,a,4593,a(flip),b,6663,a)]. 6668 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [hyper(125,a,6666,a(flip),b,1408,a(flip))]. 6669 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(6666(a,1),3980(a,1,2))]. 6671 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(1421,a,6668,a),flip(a)]. 6672 T(x,x * (y \ L(y,z,u))) = L(T(x,a(u,z,y) \ 1),w,x) # label(flip_matches_hint). [para(6671(a,2),700(a,1,1)),flip(a)]. 6674 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = K(x,u \ L(u,y,z)). [para(4777(a,1),6665(a,1,2,2))]. 6675 L(T(x,a(y,z,u) \ 1),w,x) = x * a(y,z,K(u,x)). [hyper(58,a,6230,a(flip),b,6672,a),flip(a)]. 6676 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(1971,a,6675,a)]. 6677 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(1526,a,6676,a),flip(a)]. 6678 T(x * a(y,z,K(u,x)),a(y,z,u)) = x. [para(6676(a,1),978(a,1,1))]. 6679 K(a(x,y,z),y) = 1. [hyper(58,a,2945,a(flip),b,6677,a),flip(a)]. 6680 K(x,((y * z) * u) \ (y * (z * u))) = a(y,z,K(u,x)). [hyper(3142,a,6677,a(flip))]. 6681 a(x,y,K(z,u)) * (u * w) = u * (K(a(x,y,z),u) * w). [para(6677(a,2),3565(a,1,1))]. 6682 a(x,y,K(z,u)) * (u \ w) != v5 | T(u,a(x,y,z)) \ w = v5. [para(6677(a,2),3574(a,1,1))]. 6683 (L(x,y,z) * u) * a(w,v5,K(v6,x)) = L(x,y,z) * (u * K(a(w,v5,v6),x)). [para(6677(a,2),4496(a,1,2))]. 6684 T(a(x,y,z),y) = a(x,y,z). [hyper(51,a,6679,a)]. 6685 T(x,a(y,x,z)) = x. [hyper(49,a,6684,a)]. 6686 K(x,(y * z) \ ((y * (z * u)) / u)) = a(y,z,K(u,x)). [para(2701(a,1),6680(a,1,2))]. 6687 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = a(z,T(y,z),K(u,x)). [para(103(a,1),6686(a,1,2,1))]. 6688 K(x,a(y,z,K(u,w))) * ((y * z) \ ((y * (z * u)) / u)) = T((y * z) \ ((y * (z * u)) / u),K(x,w)). [para(6686(a,1),3985(a,1,1,2))]. 6689 a(x,y,K(z,u)) * (u * w) = u * (a(x,y,K(z,u)) * w). [para(6677(a,2),6681(a,2,2,1))]. 6690 (L(x,y,z) * u) * a(w,v5,K(v6,x)) = L(x,y,z) * (u * a(w,v5,K(v6,x))). [para(6677(a,2),6683(a,2,2,2))]. 6691 L(x,y,z) \ (u * a(w,v5,K(v6,x))) = (L(x,y,z) \ u) * a(w,v5,K(v6,x)). [hyper(627,a,6690,a)]. 6692 L(x,y,z) * ((L(x,y,z) \ u) * a(w,v5,K(v6,x))) != v7 | u * a(w,v5,K(v6,x)) = v7. [para(6690(a,1),578(a,1))]. 6693 K(x,y) * (K(x,L(y,z \ x,(z \ x) \ u)) \ u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(6146(a,1),6416(a,1,2,1))]. 6694 K(x,y) * (K(L(y,z \ x,(z \ x) \ u),x) * u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(3482(a,1),6693(a,1,2))]. 6695 K(x,y) * (K(y,L(x,z \ x,(z \ x) \ u)) * u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(6178(a,1),6694(a,1,2,1))]. 6696 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(743(a,1),6659(a,1,2,1,2))]. 6697 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(778(a,1),6696(a,1,2,2,2,2))]. 6698 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(58,a,6599,a(flip),b,6697,a)]. 6699 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(743(a,1),6698(a,2,2,2))]. 6700 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(6616,a,6699,a)]. 6702 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(3090(a,2),6385(a,1,1))]. 6703 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(4137,a,6702,a)]. 6704 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(6314,a,6703,a)]. 6705 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(7(a,1),6704(a,1,2,2)),flip(a)]. 6707 K(x,y) * (K(x,L(y,x \ z,(x \ z) \ u)) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(6146(a,1),6415(a,1,2,1))]. 6716 K(x,y) * (K(x,L(y,z,(x \ z) \ u)) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(6183(a,1),6707(a,1,2,1))]. 6717 K(x,y) * (K(L(y,z,(x \ z) \ u),x) * u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(3482(a,1),6716(a,1,2))]. 6718 K(x,y) * (K(y,L(x,z,(x \ z) \ u)) * u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(6178(a,1),6717(a,1,2,1))]. 6719 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(13(a,2),6411(a,1,2,2,2)),flip(a)]. 6720 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(u,L(x,w,w \ v5)) \ v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(6146(a,1),6414(a,1,2,2,2,1))]. 6721 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(L(x,w,w \ v5),u) * v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(3482(a,1),6720(a,1,2,2,2))]. 6722 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(x,L(u,w,w \ v5)) * v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(6178(a,1),6721(a,1,2,2,2,1))]. 6723 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K(y,z / (x * z)) * (u \ ((x * z) * (z \ y))). [para(6544(a,1),6373(a,2,1))]. 6724 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K(x,y) * (u \ ((x * z) * (z \ y))). [para(3005(a,1),6723(a,2,1))]. 6725 T(T((x * y) * (y \ z),z) / u,(x * y) * (y \ z)) = K(x,z) * (u \ ((x * y) * (y \ z))). [para(2733(a,2),6724(a,1,1,1))]. 6727 K(x,y) * (T(x * y,y) \ ((x * z) * (z \ y))) = a(T(x,y),z,z \ y). [hyper(58,a,6550,a(flip),b,6725,a),flip(a)]. 6728 T(x * y,T(x,y)) \ ((y * z) * (z \ x)) = a(T(y,x),z,z \ x). [hyper(58,a,5038,a(flip),b,6727,a)]. 6729 (x * y) \ ((x * z) * (z \ y)) = a(T(x,y),z,z \ y). [para(1031(a,1),6728(a,1,1))]. 6730 a(T(x,y),z,z \ y) = a(x,z,z \ y). [hyper(1260,a,6729,a),flip(a)]. 6731 a(T(x,y * z),y,z) = a(x,y,y \ (y * z)). [para(4(a,1),6730(a,1,3))]. 6732 a(T(x,y * z),y,z) = a(x,y,z). [para(4(a,1),6731(a,2,3))]. 6733 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(105(a,1),6732(a,1,1)),flip(a)]. 6734 a(T(x,(y * z) \ 1),y,z) = a(x,y,z). [para(1924(a,1),6732(a,1,1)),flip(a)]. 6735 a(T(x \ (y * z),K(y,z)),z,y) = a((y * z) / x,z,y). [para(4231(a,1),6732(a,1,1))]. 6736 a(T(x,y \ (z \ 1)),z,y) = a(x,z,y). [para(6329(a,1),6734(a,1,1))]. 6737 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(125,a,6736,a(flip),b,6574,a)]. 6738 (((x / y) * (y * z)) / z) \ x = a((y * z) \ x,y,z). [hyper(58,a,2476,a,b,6733,a)]. 6739 x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z). [hyper(58,a,80,a,b,6733,a)]. 6740 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(5078,a,6737,a)]. 6741 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(3496,a,6740,a)]. 6742 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [hyper(125,a,6740,a,b,60,a)]. 6743 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(2899(a,1),6740(a,1,2))]. 6744 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(6740(a,1),4576(a,2,2))]. 6745 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(5311(a,1),6740(a,1,2))]. 6746 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(6740(a,1),5998(a,1,1,2))]. 6747 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(6740(a,1),6085(a,2,2))]. 6748 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(6740(a,1),6091(a,1,1)),flip(a)]. 6749 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(6741(a,1),5367(a,1,1)),flip(a)]. 6750 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(3978(a,1),6742(a,1,2,1))]. 6751 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(6745(a,1),3411(a,1,2)),flip(a)]. 6752 (((x / y) * (y * (y \ z))) / (y \ z)) \ x = a(z \ x,y,y \ z). [para(5(a,1),6738(a,2,1,1))]. 6753 (x \ ((x * y) * (y \ z))) \ z = a((y * x) \ z,y,x). [para(6428(a,1),6738(a,1,1))]. 6754 x \ (y * (z * ((y * z) \ x))) = a((z * y) \ x,z,y). [para(6426(a,1),6739(a,1,2))]. 6755 (x \ ((x * y) * (y \ z))) \ z = z \ (x * (y * ((x * y) \ z))). [hyper(259,a,6753,a,b,6754,a)]. 6756 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(58,a,5596,a,b,6744,a)]. 6757 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(58,a,4308,a,b,6744,a)]. 6758 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(6740(a,1),6746(a,1,2))]. 6759 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(120,a,104,a(flip),b,6758,a)]. 6760 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(6063,a,6748,a)]. 6761 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(6748(a,1),6063(a,1))]. 6762 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(3233,a,6751,a)]. 6763 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(6760(a,1),6100(a,1,1,1))]. 6764 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(259,a,4702,a(flip),b,6743,a),flip(a)]. 6765 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(58,a,6106,a(flip),b,6743,a)]. 6766 (((x / y) * z) / (y \ z)) \ x = a(z \ x,y,y \ z). [para(5(a,1),6752(a,1,1,1,2))]. 6767 (x / (y \ z)) \ ((x / z) * y) = a(z \ x,y,y \ z). [hyper(58,a,914,a(flip),b,6766,a)]. 6768 a(x \ (y * z),z,z \ x) = ((y * x) / (z \ x)) \ (y * z). [para(6(a,1),6766(a,1,1,1,1)),flip(a)]. 6770 a(x,x,x \ y) = ((y * y) / (x \ y)) \ (y * x). [para(4(a,1),6768(a,1,1))]. 6771 ((x * x) / (y \ x)) \ (x * y) = a(y,y,x). [hyper(58,a,2785,a(flip),b,6770,a),flip(a)]. 6772 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(4990(a,1),6750(a,1,2,2))]. 6773 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(6088(a,1),6772(a,1,2))]. 6774 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(4(a,1),6756(a,1,2,1,2,1))]. 6776 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(4374(a,1),6774(a,1,2))]. 6777 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(3535(a,2),6776(a,1,1))]. 6778 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(259,a,5075,a(flip),b,6765,a),flip(a)]. 6779 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(6764(a,1),6778(a,1,1)),flip(a)]. 6780 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(3334(a,1),6777(a,1,2))]. 6781 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(6453(a,1),6780(a,1,2,2))]. 6782 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(4648,a,6781,a)]. 6783 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(5201,a,6782,a)]. 6784 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(1454(a,1),6783(a,1,1))]. 6785 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(29,a,6762,a(flip),b,6784,a(flip))]. 6787 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(259,a,6757,a(flip),b,6749,a),flip(a)]. 6788 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [hyper(58,a,840,a(flip),b,6763,a),flip(a)]. 6789 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(259,a,4630,a(flip),b,6788,a),flip(a)]. 6790 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(3939(a,1),6789(a,1,2,1,1))]. 6791 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(4991(a,1),6790(a,1,2,1))]. 6792 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(1412(a,2),6791(a,1,2))]. 6793 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(6493,a,6792,a)]. 6794 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(3969(a,1),6793(a,1,1))]. 6795 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(6055,a,6794,a)]. 6796 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(58,a,6747,a(flip),b,6795,a),flip(a)]. 6797 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(29,a,1409,a(flip),b,6796,a),flip(a)]. 6798 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(6761,a,6797,a)]. 6799 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(6798(a,1),6773(a,1,2))]. 6800 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(126,a,6799,a),flip(a)]. 6801 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(259,a,6797,a,b,6800,a),flip(a)]. 6802 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(3963(a,1),6800(a,1,1))]. 6803 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(3963(a,1),6801(a,1,1))]. 6804 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(6785(a,2),6801(a,2,1)),flip(a)]. 6805 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(58,a,6803,a,b,6804,a)]. 6806 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = ((y * x) * T(y,y)) \ T((y * y) * x,y). [para(1937(a,1),6564(a,2,1,1))]. 6807 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = ((y * x) * y) \ T((y * y) * x,y). [para(102(a,1),6806(a,2,1,2))]. 6808 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = (y * (x * y)) \ T((y * y) * x,y). [para(679(a,1),6807(a,2,1))]. 6809 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(5457(a,1),6652(a,1,1,1,2))]. 6810 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(252(a,1),6809(a,1,1,1))]. 6812 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(288(a,1),6810(a,1,1,2))]. 6813 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(102(a,1),6812(a,1,2,2,2))]. 6814 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(288(a,1),6813(a,1,2,2,1))]. 6815 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(1868(a,1),6814(a,1,2,2))]. 6816 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(58,a,3328,a(flip),b,6815,a)]. 6817 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(5555,a,6816,a)]. 6818 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(264(a,1),6817(a,1,2)),flip(a)]. 6819 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(58,a,5380,a,b,6818,a)]. 6821 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(5377,a,6819,a)]. 6823 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(58,a,4847,a(flip),b,6821,a),flip(a)]. 6824 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [hyper(125,a,6823,a(flip),b,1494,a)]. 6825 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(58,a,5029,a,b,6824,a)]. 6826 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = L(L(x,x \ 1,y),z,u) * ((x \ 1) * y). [para(315(a,1),6636(a,2,1,1,1))]. 6827 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = T(y * (x \ L(T(x,y),z,u)),x). [hyper(259,a,5624,a(flip),b,6826,a),flip(a)]. 6828 T(x * (y \ L(T(y,x),z,u)),y) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [para(6635(a,1),6827(a,1,2,2,1)),flip(a)]. 6829 T(x * (y \ L(T(y,x),z,u)),y) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [hyper(259,a,2863,a(flip),b,6828,a),flip(a)]. 6830 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(7(a,1),6579(a,1,2,1,2))]. 6831 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,6623,a(flip),b,6830,a),flip(a)]. 6832 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,6626,a(flip),b,6831,a)]. 6833 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,5884,a(flip),b,6832,a)]. 6834 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(1409(a,2),6833(a,1,2,1))]. 6835 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(995(a,1),6834(a,1,2,1))]. 6836 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(103(a,1),6835(a,1,2,2,1))]. 6837 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(103(a,1),6836(a,1,2,2,2,2))]. 6838 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(4207(a,1),6837(a,2,2))]. 6839 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(6616,a,6838,a)]. 6841 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(3904(a,1),6839(a,1,2,2,2))]. 6842 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(58,a,1732,a(flip),b,6841,a)]. 6843 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(1961(a,1),6842(a,1,2,2,2,2))]. 6844 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(1409(a,2),6843(a,1,2,2,2))]. 6845 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(4390,a,6844,a),flip(a)]. 6846 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(259,a,6597,a(flip),b,6845,a),flip(a)]. 6847 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(288(a,1),6846(a,1,2,2))]. 6848 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(4257,a,6847,a)]. 6849 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(1897(a,1),6848(a,2,2,1))]. 6850 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(3939(a,1),6375(a,1,2,1,2))]. 6851 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(1951(a,1),6850(a,1,2,1,2,2))]. 6852 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(3971(a,1),6851(a,1,2,1,2))]. 6853 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(4019(a,1),6852(a,1,2,1,2))]. 6854 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(1888(a,2),6853(a,1,2,1))]. 6855 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(3407,a,6854,a)]. 6856 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(3986(a,1),6855(a,1,1)),flip(a)]. 6857 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(2246(a,1),6856(a,2,2))]. 6858 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(259,a,4001,a(flip),b,6857,a),flip(a)]. 6859 (x * (y \ z)) \ (((x * (y \ z)) / K(u,L(y,T(z,y),x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(6166(a,2),6660(a,1,2,1,2))]. 6860 (x * (y \ z)) \ (((x * (y \ z)) * K(L(y,T(z,y),x),u)) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(3516(a,1),6859(a,1,2,1))]. 6861 (x * (y \ z)) \ (((x * (y \ z)) * K(y,L(u,T(z,y),x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(6178(a,1),6860(a,1,2,1,2))]. 6862 (x * (y \ z)) \ ((x * (y \ z)) * (K(u,y) * K(y,L(u,T(z,y),x)))) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(4868(a,1),6861(a,1,2))]. 6863 ((x * T(y / T(z,u),z)) / K(u,z)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,T(y,z),x)). [hyper(245,a,6862,a),flip(a)]. 6865 ((x * T(y / T(z,u),z)) * K(z,u)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,T(y,z),x)). [para(3516(a,1),6863(a,1,1))]. 6866 ((x * T(y / T(z,u),z)) * K(z,u)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,y,x)). [para(5828(a,1),6865(a,2,2))]. 6867 (K(x,y) * ((K(y,x) * z) * (y \ u))) \ (z * (y \ u)) = K(x,y) * K(y,L(x,u,z)). [para(6555(a,1),6866(a,1,1))]. 6868 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * (T(y,x) \ x)),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(3383(a,1),6162(a,1,2,1,2,2))]. 6869 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * T(y \ x,x)),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(350(a,2),6868(a,1,2,1,2,2))]. 6870 (x / y) * T((y \ x) \ T(K(y,L(x,z,u)) * (y \ x),x),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(6238(a,2),6869(a,1,2,1,2))]. 6871 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(x \ (x / (y \ 1)),z,u) * (x * (((y \ 1) \ x) \ x)). [para(750(a,1),6637(a,2,1,1))]. 6872 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(x \ (x / (y \ 1)),z,u) * ((y \ 1) * x). [para(305(a,1),6871(a,2,2))]. 6873 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [hyper(259,a,2360,a(flip),b,6872,a),flip(a)]. 6874 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [hyper(259,a,2863,a(flip),b,6873,a),flip(a)]. 6875 x * (((y \ 1) \ x) \ (x * L(x \ ((y \ 1) \ x),z,u))) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(6635(a,1),6874(a,1,2,2,2,1))]. 6876 x * (T(y \ 1,x) * L(T((y \ 1) \ 1,x),z,u)) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(2607(a,1),6875(a,1,2))]. 6877 L(L(x,y,y \ 1),z,u) / ((y \ 1) * x) = y * (T(x \ 1,y) * L(T(x,y),z,u)). [para(315(a,1),6876(a,1,2,2,1,1)),flip(a)]. 6878 L(L(x,y,y \ 1),z,u) / ((y \ 1) * x) = y * (T(x,y) \ L(T(x,y),z,u)). [para(3663(a,1),6877(a,2,2))]. 6879 T(x * (y \ L(T(y,x),z,u)),y) = x * (T(y,x) \ L(T(y,x),z,u)). [hyper(58,a,6829,a,b,6878,a)]. 6880 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(825(a,1),6849(a,2,2,2,2))]. 6881 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(259,a,6617,a(flip),b,6880,a),flip(a)]. 6882 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [para(1961(a,1),6881(a,2,2,1,2))]. 6883 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(1409(a,2),6882(a,2,2,1))]. 6884 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(259,a,6700,a(flip),b,6883,a),flip(a)]. 6885 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(5(a,1),6884(a,1,2,1,2))]. 6886 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(340(a,1),6885(a,1,2,2))]. 6887 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(708(a,1),6886(a,1,2,2)),flip(a)]. 6888 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(6(a,1),6887(a,1,2,1)),flip(a)]. 6889 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(6(a,1),6888(a,1,2,1)),flip(a)]. 6890 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(4169,a,6889,a)]. 6891 K(x,T(y,z * u)) * K(y,x) = K(x,K(y,z \ u)). [hyper(124,a,6889,a(flip),b,4199,a)]. 6894 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(58,a,6889,a(flip),b,6890,a)]. 6895 K(x,T(y,(z * u) * z)) = K(x,T(y,u)). [para(4(a,1),6890(a,1,2,2)),flip(a)]. 6897 K(x,T(y,z * u)) * (u * z) = (u * z) * K(x,y). [hyper(124,a,6894,a,b,4044,a)]. 6898 K(x,T(y,z / u)) = K(x,T(y,u * z)). [para(712(a,1),6895(a,1,2,2)),flip(a)]. 6899 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [hyper(259,a,6889,a,b,6898,a),flip(a)]. 6900 K(x,T(y,z / u)) = T(K(x,y),u \ z). [hyper(259,a,3190,a(flip),b,6899,a),flip(a)]. 6901 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(6495,a,6899,a(flip))]. 6902 T(K(x,y),z / u) = T(K(x,y),u \ z). [hyper(4242,a,6900,a)]. 6903 T(K(x,y),K(z,u)) = K(x,y). [hyper(35,a,4720,a,b,6902,a)]. 6904 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(4156,a,6903,a),flip(a)]. 6905 K(x,T(y,K(z,u))) = K(x,y). [hyper(4060,a,6903,a),flip(a)]. 6906 K(x,K(y,K(z,u))) = 1. [hyper(119,a,6903,a,b,3945,a),flip(a)]. 6910 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(6903(a,1),239(a,1,2))]. 6911 x * (K(y,z) * K(u,w)) = x * (K(u,w) * K(y,z)). [para(6903(a,1),203(a,1,2,2))]. 6920 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(6903(a,1),4060(a,1))]. 6922 T(x,K(y,K(z,u))) = x. [hyper(51,a,6906,a)]. 6923 K(x,K(y,z)) * (u \ 1) = u \ K(x,K(y,z)). [hyper(6282,a,6922,a)]. 6924 K(x,K(y,z)) * u = u * K(x,K(y,z)). [hyper(4033,a,6922,a)]. 6925 K(x,T(K(y,z),u)) = K(x,K(y,z)). [hyper(3788,a,6922,a)]. 6926 K(x,K(y,z)) / u = u \ K(x,K(y,z)). [hyper(439,a,6922,a),flip(a)]. 6927 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [hyper(58,a,4456,a(flip),b,6922,a)]. 6929 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(216,a,6922,a(flip),b,6558,a(flip))]. 6931 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [para(6922(a,1),203(a,1,2,2))]. 6937 T(x * K(y,x),K(z,u)) = T(x,K(z,u)) * K(y,x). [hyper(125,a,6905,a(flip),b,1624,a),flip(a)]. 6939 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(3665(a,1),6905(a,1,2))]. 6942 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(4147,a,6925,a)]. 6943 K(x,T(K(y,z),u)) = K(x,K(z,y)). [hyper(259,a,3979,a,b,6925,a),flip(a)]. 6944 K(x,T(K(y,z),u)) = K(y,K(z,x)). [hyper(259,a,3966,a,b,6925,a),flip(a)]. 6946 K(x,K(y,T(z,u))) = K(x,K(y,z)). [para(3190(a,2),6925(a,1,2))]. 6947 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(3199(a,1),6925(a,1,2)),flip(a)]. 6953 K(x,T(y,z)) / T(z,u) = T(z,u) \ K(x,y). [para(6939(a,1),3196(a,1,1))]. 6955 K(x,K(y / z,u)) = K(x,K(u,z \ y)). [para(105(a,1),6942(a,1,2,2)),flip(a)]. 6956 K(x,K(y * z,u)) = K(x,K(u,z * y)). [para(708(a,1),6942(a,1,2,2)),flip(a)]. 6957 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(1932(a,1),6942(a,1,2,2)),flip(a)]. 6958 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [para(3238(a,1),6942(a,1,2)),flip(a)]. 6959 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(6942(a,2),4000(a,1))]. 6960 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [para(6179(a,2),6943(a,1,2,1))]. 6961 K(x * y,K(z,u)) = K(z,K(u,y * x)). [hyper(4164,a,6944,a)]. 6963 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(708(a,1),6946(a,1,2,2))]. 6965 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(4230(a,1),6920(a,1,2))]. 6966 K(x,T(1 / (y * z),y)) = K(x,K(u,1 / u) / (z * y)). [hyper(259,a,6516,a,b,6904,a)]. 6967 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(259,a,4297,a(flip),b,6924,a),flip(a)]. 6969 K(x,K(y,z)) * (u \ K(w,u)) = T(u,w) \ K(x,K(y,z)). [hyper(58,a,6274,a,b,6926,a)]. 6970 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(259,a,4322,a,b,6947,a)]. 6971 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(6286(a,2),6947(a,2,2)),flip(a)]. 6973 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(6955(a,1),4000(a,1))]. 6976 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(6956(a,1),4000(a,1))]. 6977 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(6956(a,2),4000(a,1))]. 6978 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(6957(a,2),4000(a,1))]. 6979 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(13(a,2),6958(a,2,2,2))]. 6980 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(6961(a,1),3951(a,1))]. 6981 K(x,K(y,z * u)) != w | K(x,K(u * z,y)) = w. [para(6961(a,1),3977(a,1))]. 6982 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(3191(a,2),6959(a,1,2))]. 6985 K(x,T(y,z)) / T(z,u) = T(z \ 1,u) * K(x,y). [hyper(259,a,6280,a,b,6953,a),flip(a)]. 6987 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(6323(a,2),6965(a,1,2))]. 6989 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(6286(a,2),6973(a,1,2))]. 6990 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(99(a,1),6976(a,1,2,2))]. 6991 K(x,K(y,z \ u)) != w | K(x,K(y,u * (z \ y))) = w. [para(6536(a,1),6976(a,1,2))]. 6993 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(4200,a,6891,a),flip(a)]. 6996 K(x,K(y,z * (z * u))) = K(x,K(y,u)). [para(4(a,1),6993(a,1,2,2)),flip(a)]. 6997 K(x,K(y,z * (z * u))) = K(x,K(u,y)). [hyper(259,a,3979,a,b,6996,a),flip(a)]. 6998 K(x,K(y,z * (z * u))) != w | K(x,K(u,y)) = w. [para(6996(a,2),4000(a,1))]. 6999 K(x,K(y,z * (z * u))) != w | K(x,K(y,u)) = w. [para(6997(a,2),4000(a,1))]. 7001 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(259,a,6924,a,b,6929,a),flip(a)]. 7002 T(x,K(y,T(z,u))) = T(x,K(y,z)). [hyper(4429,a,6937,a)]. 7004 T(K(x,T(y,z)) * u,K(x,y)) = u * K(x,T(y,z)). [hyper(788,a,7002,a),flip(a)]. 7005 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(259,a,4020,a,b,7002,a),flip(a)]. 7008 T(x,K(y,T(z,u))) != w | T(x,K(z,y)) = w. [para(7002(a,2),4037(a,1))]. 7009 T((x \ y) * z,K(x \ y,T(x,u))) = (x \ y) * T(z,K(x,y)). [para(7005(a,1),3763(a,2,2))]. 7010 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [para(1963(a,1),6985(a,2,1))]. 7011 T(K(x,K(y,z)) * (u \ 1),w) = K(x,K(y,z)) * (u \ K(w,u)). [para(1964(a,1),7001(a,2,2))]. 7013 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(58,a,4461,a(flip),b,7004,a)]. 7014 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(58,a,6349,a,b,7010,a)]. 7015 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(7013(a,2),38(a,1))]. 7016 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(6963(a,1),6989(a,1))]. 7017 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(259,a,1730,a(flip),b,6966,a),flip(a)]. 7018 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(4289,a,7017,a)]. 7019 K(x,K(y,z)) * (u \ K(w,u)) = K(w,u) * (u \ K(x,K(y,z))). [hyper(259,a,3486,a,b,6969,a),flip(a)]. 7021 T((x \ y) * z,K(y,T(x,u))) = (x \ y) * T(z,K(x,y)). [para(1654(a,1),7009(a,1,2))]. 7023 T((x \ y) * z,K(x,y)) = (x \ y) * T(z,K(x,y)). [hyper(7008,a,7021,a)]. 7024 T((x \ y) * K(z,u),K(x,y)) = (x \ y) * K(z,u). [para(6903(a,1),7023(a,2,2))]. 7025 K(x,K(y,z)) * (u \ K(w,u)) = T(u \ K(x,K(y,z)),w). [para(6923(a,1),7011(a,1,1)),flip(a)]. 7026 K(x,K(y,K(z,u)) \ w) * (w \ K(y,K(z,u))) = K(y,K(z,u)) * (w \ K(x,w)). [hyper(259,a,2994,a,b,7025,a)]. 7028 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(259,a,4052,a(flip),b,6970,a),flip(a)]. 7029 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(6978,a,7028,a)]. 7030 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(17(a,2),7029(a,1,2,1,1))]. 7031 K(x,K(y,K(z,u)) * w) * (w \ K(y,K(z,u))) = K(y,K(z,u)) * (w \ K(x,w)). [para(6606(a,1),7026(a,1,1))]. 7032 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(30,a,7019,a(flip),b,7031,a),flip(a)]. 7033 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(259,a,1408,a(flip),b,7032,a),flip(a)]. 7035 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(7033(a,2),1427(a,1))]. 7036 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(3953(a,1),7035(a,1,2))]. 7037 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(3162(a,1),6901(a,1,2,2))]. 7038 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(4373(a,1),7037(a,1,2)),flip(a)]. 7039 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(259,a,4,a(flip),b,7038,a),flip(a)]. 7040 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(3124,a,7039,a),flip(a)]. 7042 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(7039(a,1),3124(a,1))]. 7043 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(5461(a,1),7040(a,1,1,1,2,1,2))]. 7044 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(6825(a,1),7043(a,1,1,1))]. 7045 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(7042,a,7044,a),flip(a)]. 7046 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(3866(a,1),6081(a,1,2,1))]. 7047 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(2138(a,1),7046(a,1,2,2)),flip(a)]. 7048 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(4228(a,1),7047(a,2,2))]. 7049 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4(a,1),7048(a,2,2,1))]. 7050 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(2891(a,1),7049(a,1,1,2))]. 7051 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4677(a,1),7050(a,1,1))]. 7052 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(2891(a,1),7051(a,1,2,1))]. 7054 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(637(a,1),7052(a,1,2,2))]. 7055 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(3309(a,1),7054(a,1,2))]. 7056 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(4570(a,1),7055(a,1,2)),flip(a)]. 7057 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(259,a,3846,a,b,7056,a),flip(a)]. 7059 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(5506,a,7057,a),flip(a)]. 7060 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(6745(a,1),7059(a,1,1))]. 7061 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(2830(a,2),5070(a,1,2,1))]. 7062 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(2830(a,2),7061(a,1,2,1,1))]. 7063 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(99(a,1),7062(a,1,2)),flip(a)]. 7064 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(99(a,1),7063(a,2,2,1))]. 7065 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(4514(a,1),7064(a,2,2,1,1))]. 7066 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(259,a,4927,a(flip),b,7065,a),flip(a)]. 7067 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(259,a,4535,a(flip),b,7066,a),flip(a)]. 7068 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(622(a,1),7067(a,1,2,2,2))]. 7069 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(58,a,5066,a(flip),b,7068,a),flip(a)]. 7070 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(5046,a,7069,a),flip(a)]. 7071 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(3741,a,7070,a),flip(a)]. 7073 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(58,a,5877,a(flip),b,7071,a),flip(a)]. 7074 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(568(a,1),7073(a,1,2,1)),flip(a)]. 7088 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(6146(a,1),5973(a,1,2,2))]. 7089 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(259,a,4,a(flip),b,6096,a),flip(a)]. 7091 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(6095(a,1),7089(a,1,3))]. 7093 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(6740(a,1),7091(a,1,3))]. 7094 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(7093(a,1),242(a,1,2))]. 7095 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(7094,a,6787,a)]. 7096 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(3480(a,1),7095(a,1,2))]. 7097 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(4065(a,1),7096(a,1,1,1)),flip(a)]. 7099 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(217,a,7097,a),flip(a)]. 7100 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(259,a,7060,a(flip),b,7099,a)]. 7101 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(165(a,1),7100(a,2,1,2))]. 7102 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(3477,a,7101,a)]. 7103 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),7101(a,1,1))]. 7104 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(6619,a,7103,a)]. 7105 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(6538,a,7104,a)]. 7106 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(1532(a,1),7105(a,2,1))]. 7107 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(1587,a,7106,a),flip(a)]. 7108 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(7107(a,1),6802(a,2,2))]. 7109 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(58,a,6805,a(flip),b,7108,a),flip(a)]. 7110 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(6991,a,7109,a)]. 7111 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(3966(a,2),7110(a,2,1))]. 7112 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(4813,a,7111,a)]. 7113 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(58,a,5300,a(flip),b,7112,a)]. 7114 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(3979(a,1),7113(a,2,1))]. 7115 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(4998(a,1),7114(a,2,1))]. 7116 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(5001,a,7115,a)]. 7119 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(58,a,5329,a(flip),b,7116,a)]. 7121 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(7101(a,1),7102(a,1,1))]. 7122 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(58,a,6779,a,b,7121,a)]. 7123 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(58,a,6571,a(flip),b,7122,a)]. 7133 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(58,a,6365,a(flip),b,7088,a)]. 7134 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(5195(a,1),7133(a,1,2,2)),flip(a)]. 7135 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(3979(a,1),7134(a,2,2))]. 7137 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(6317(a,1),7135(a,2,2))]. 7138 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(3963(a,1),7137(a,2,2))]. 7139 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(6146(a,1),7138(a,1,1,2))]. 7140 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(58,a,5919,a,b,7139,a)]. 7141 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(5972(a,1),7140(a,1,1)),flip(a)]. 7142 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(120,a,7141,a,b,6628,a(flip))]. 7144 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(4221(a,2),7142(a,1,2,2))]. 7145 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(4578(a,2),7144(a,1,2))]. 7146 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(4266(a,2),7145(a,1,2,2,2))]. 7147 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(3530(a,2),7146(a,1,2,2))]. 7148 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(949(a,2),7147(a,1,2))]. 7149 K(x,T(y * T(z,K(u,w)),K(u,w)) \ z) = K(T(y,K(w,u) * z),x). [para(7148(a,1),2985(a,1,1)),flip(a)]. 7150 K(x,T(y * T(z,K(u,w)),K(u,w)) \ z) = K(y,T(x,K(w,u) * z)). [hyper(259,a,3191,a(flip),b,7149,a),flip(a)]. 7151 K(x,T(y * T(z,K(u,w)),K(w,u)) \ z) = K(y,T(x,K(u,w) * z)). [para(4020(a,1),7150(a,1,2,1,1,2))]. 7152 K(x,(y * T(z,K(u,w))) \ z) = K(y,T(x,K(u,w) * z)). [hyper(7036,a,7151,a)]. 7153 K(x,T(y,K(z,u)) \ (w \ y)) = K(w,T(x,K(z,u) * y)). [para(3566(a,1),7152(a,1,2))]. 7154 K(x,T(y,K(z,u) * w)) = K(y,w \ (x \ w)). [hyper(7036,a,7153,a),flip(a)]. 7155 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(259,a,3235,a(flip),b,7154,a),flip(a)]. 7156 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(6965,a,7155,a)]. 7163 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(7155(a,1),6897(a,1,1))]. 7164 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(2937(a,1),7156(a,1,2,2)),flip(a)]. 7168 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). [para(6152(a,1),7156(a,1,2,2))]. 7169 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(4201,a,7164,a)]. 7170 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(259,a,7045,a,b,7164,a)]. 7172 T(x * K(y,T(x,z * u)),y) = T(x,K(y,z * (u * K(w,v5)))). [para(7168(a,1),4233(a,1,1,2))]. 7174 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(329(a,1),7163(a,1,1,2))]. 7175 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [hyper(29,a,4170,a,b,7169,a),flip(a)]. 7176 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(4(a,1),7175(a,2,2,2,2))]. 7177 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(73(a,1),7175(a,2,2,2,2))]. 7178 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(7175(a,2),4295(a,1,1))]. 7179 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(205(a,1),7176(a,1,2,2,2)),flip(a)]. 7180 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(708(a,1),7179(a,1,2,2,2))]. 7181 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(4146,a,7180,a)]. 7182 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [para(6431(a,2),7180(a,1,2,2)),flip(a)]. 7183 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(259,a,4010,a,b,7181,a)]. 7184 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(7181(a,1),4146(a,1))]. 7185 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(7181(a,2),4146(a,1))]. 7186 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(7183(a,1),4146(a,1))]. 7187 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [hyper(58,a,7183,a,b,7182,a)]. 7188 K(x,K(y,a(z,u,u \ w))) != v5 | K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))) = v5. [para(1258(a,1),7185(a,1,2,2))]. 7189 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [para(7(a,1),7187(a,1,2,2,1,2)),flip(a)]. 7190 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(4270(a,2),7189(a,1,2))]. 7191 T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). [hyper(4282,a,7172,a),flip(a)]. 7192 T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). [para(3172(a,1),7191(a,1,2,2,2))]. 7193 T(x,K(y,z * (K(u,w) * v5))) = K(y,K(x,z * v5)) * x. [hyper(259,a,3969,a,b,7192,a),flip(a)]. 7194 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(4017,a,7193,a)]. 7195 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(6999,a,7194,a),flip(a)]. 7196 K(x,K(y,K(z,u) * w)) = K(x,K(w,y)). [hyper(6998,a,7194,a),flip(a)]. 7197 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(6989,a,7194,a)]. 7198 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(1380(a,1),7194(a,1,2,2,2)),flip(a)]. 7199 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(3029(a,1),7194(a,1,2,2)),flip(a)]. 7200 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(3468(a,2),7194(a,1,2,2))]. 7203 K(x,K(y,K(z,u) * w)) = K(K(x,y),w). [hyper(259,a,3939,a,b,7195,a),flip(a)]. 7206 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [para(6609(a,1),7195(a,1,2)),flip(a)]. 7207 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(6981,a,7196,a)]. 7208 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(4359,a,7196,a)]. 7209 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [para(6609(a,1),7196(a,1,2)),flip(a)]. 7210 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(5014(a,1),7199(a,1,2,2)),flip(a)]. 7211 K(x,K(y,K(z,u) * w)) = (v5 * (w * K(x,y))) \ (v5 * (K(x,y) * w)). [hyper(259,a,3151,a,b,7203,a),flip(a)]. 7212 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(4359,a,7206,a)]. 7214 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(7206(a,1),4179(a,1))]. 7215 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(3373(a,1),7207(a,1,2,1))]. 7216 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(259,a,7207,a,b,7209,a),flip(a)]. 7217 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(7198(a,2),6976(a,1))]. 7218 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(58,a,7030,a(flip),b,7215,a),flip(a)]. 7219 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(3105(a,1),7210(a,1,2,2,1))]. 7220 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(3373(a,1),7210(a,1,2,2,1))]. 7221 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(3833(a,1),7210(a,1,2,2,1))]. 7222 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(7210(a,2),6976(a,1))]. 7223 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(58,a,5698,a(flip),b,7216,a),flip(a)]. 7224 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(259,a,6971,a(flip),b,7197,a),flip(a)]. 7225 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(4146,a,7224,a)]. 7226 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(2525(a,1),7224(a,1,2,2,1))]. 7227 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(4064(a,1),7225(a,1,2,2,2)),flip(a)]. 7228 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(4913(a,1),7225(a,1,2,2,2))]. 7229 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(7227(a,1),7013(a,1,1))]. 7230 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(259,a,4300,a,b,7212,a),flip(a)]. 7231 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(6976,a,7219,a)]. 7232 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(219(a,1),7220(a,1,2,2,1,1)),flip(a)]. 7233 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(7186,a,7226,a)]. 7234 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(105(a,1),7233(a,1,2,2,2,1)),flip(a)]. 7236 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(4034(a,1),7218(a,1,2,1))]. 7237 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(3588(a,1),7222(a,1,2,2,1))]. 7238 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(6963(a,1),7222(a,1))]. 7239 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(82(a,1),7238(a,1,2,2,2))]. 7240 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(3471(a,1),7238(a,1,2,2))]. 7241 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(4554(a,1),7238(a,1,2,2,2))]. 7242 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(58,a,6266,a(flip),b,7174,a),flip(a)]. 7243 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(58,a,7014,a(flip),b,7242,a),flip(a)]. 7244 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(7243(a,2),5749(a,2,2))]. 7245 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(1180(a,1),7221(a,1,2,2,1,1)),flip(a)]. 7246 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(259,a,4010,a,b,7228,a),flip(a)]. 7247 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(6976,a,7232,a)]. 7248 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(7184,a,7246,a)]. 7249 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(70(a,1),7247(a,1,2,2,2,1,2)),flip(a)]. 7250 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(7247(a,1),6976(a,1))]. 7251 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(7248(a,2),7184(a,1))]. 7252 K(x,K(y,K(z,u) * w)) = (v5 * (K(v5,v6) * (w * K(x,y)))) \ (T(v5,v6) * (K(x,y) * w)). [para(3398(a,2),7211(a,2,1))]. 7253 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(1435(a,1),7251(a,1,2,2,2,2))]. 7254 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(259,a,7230,a(flip),b,7223,a),flip(a)]. 7256 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(259,a,4368,a(flip),b,7254,a),flip(a)]. 7257 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(7214,a,7256,a)]. 7259 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(7015,a,7229,a),flip(a)]. 7260 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(3588(a,1),7259(a,1,2,2,1))]. 7261 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(4256,a,7260,a)]. 7262 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(259,a,5681,a(flip),b,7261,a),flip(a)]. 7263 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(105(a,1),7261(a,1,2,2,2,2)),flip(a)]. 7264 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(7261(a,1),1833(a,1,1)),flip(a)]. 7265 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(259,a,7170,a(flip),b,7263,a),flip(a)]. 7266 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(6987,a,7265,a),flip(a)]. 7267 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(7266(a,1),7264(a,2,1))]. 7268 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(259,a,1833,a(flip),b,7267,a),flip(a)]. 7269 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(7268(a,1),5774(a,1,1))]. 7270 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(5672(a,1),7190(a,1,2))]. 7271 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(58,a,6960,a(flip),b,7270,a),flip(a)]. 7273 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),7245(a,1,2,2,1,1)),flip(a)]. 7274 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(6990,a,7273,a)]. 7276 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),7274(a,1,2,2,2))]. 7277 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(5694(a,1),7244(a,1,1))]. 7278 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(58,a,5774,a(flip),b,7269,a),flip(a)]. 7279 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(7278(a,1),6318(a,1,1,1)),flip(a)]. 7280 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(259,a,6318,a(flip),b,7279,a),flip(a)]. 7281 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(259,a,3191,a(flip),b,7280,a),flip(a)]. 7282 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(3270,a,7281,a)]. 7283 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(58,a,7261,a(flip),b,7282,a)]. 7284 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(58,a,7262,a(flip),b,7283,a),flip(a)]. 7285 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(58,a,5681,a(flip),b,7284,a)]. 7286 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(102(a,1),7285(a,1,2,2,1,1)),flip(a)]. 7288 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(58,a,7164,a(flip),b,7286,a)]. 7289 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(259,a,4170,a,b,7288,a)]. 7290 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(29,a,7169,a,b,7289,a)]. 7291 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(4146,a,7290,a)]. 7292 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(58,a,7177,a(flip),b,7290,a),flip(a)]. 7293 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(58,a,7176,a(flip),b,7290,a),flip(a)]. 7294 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(7290(a,1),7178(a,1,1))]. 7295 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(6976,a,7293,a)]. 7296 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(5(a,1),7295(a,1,2,2,2,2)),flip(a)]. 7297 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(4358,a,7294,a),flip(a)]. 7298 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(73(a,1),7297(a,1,2,1,2)),flip(a)]. 7299 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(6977,a,7298,a)]. 7300 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(6982,a,7236,a),flip(a)]. 7301 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(6444(a,1),7300(a,2,2))]. 7302 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(259,a,7257,a(flip),b,7301,a),flip(a)]. 7303 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(7251,a,7302,a)]. 7305 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(58,a,7182,a(flip),b,7303,a)]. 7306 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(58,a,7208,a(flip),b,7305,a),flip(a)]. 7307 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(6203,a,7306,a)]. 7309 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(6265(a,1),7306(a,1,2,2,2))]. 7310 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(1413(a,1),4608(a,2,2))]. 7311 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(1413(a,1),7310(a,1,1,3,2,2))]. 7312 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(1413(a,1),7311(a,1,2,1,2,2))]. 7313 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(58,a,3864,a(flip),b,7312,a)]. 7314 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(58,a,5043,a,b,7313,a)]. 7315 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(5(a,1),7314(a,1,1)),flip(a)]. 7316 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(30,a,1914,a(flip),b,7315,a),flip(a)]. 7318 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(7316(a,1),5142(a,1,2,2,2))]. 7319 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(5(a,1),7318(a,1,2,2)),flip(a)]. 7320 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(259,a,3507,a(flip),b,7319,a),flip(a)]. 7322 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(4402(a,1),7320(a,1,2,2,2))]. 7323 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(58,a,2844,a(flip),b,7322,a)]. 7324 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(3833(a,1),7323(a,1,2,2))]. 7325 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(259,a,5875,a(flip),b,7324,a),flip(a)]. 7326 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(1857,a,7325,a)]. 7327 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(58,a,2115,a(flip),b,7325,a),flip(a)]. 7328 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(58,a,5876,a(flip),b,7327,a),flip(a)]. 7329 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(259,a,7074,a(flip),b,7328,a),flip(a)]. 7330 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(58,a,7326,a(flip),b,7329,a),flip(a)]. 7331 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(1844,a,7330,a)]. 7332 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(58,a,5067,a(flip),b,7331,a)]. 7333 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(103(a,1),7332(a,1,2,2)),flip(a)]. 7334 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(259,a,3191,a(flip),b,7333,a),flip(a)]. 7335 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(259,a,4520,a(flip),b,7334,a),flip(a)]. 7336 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(3270,a,7335,a)]. 7337 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(58,a,5343,a(flip),b,7336,a)]. 7339 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(58,a,5546,a(flip),b,7337,a)]. 7340 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(7339(a,1),5704(a,1))]. 7341 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(7340,a,6521,a),flip(a)]. 7342 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(17(a,2),7341(a,1,2,2,1))]. 7343 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(58,a,5569,a(flip),b,7342,a),flip(a)]. 7344 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(259,a,5671,a(flip),b,7343,a),flip(a)]. 7345 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(7344(a,1),5521(a,1,1,2)),flip(a)]. 7346 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(259,a,5815,a(flip),b,7345,a),flip(a)]. 7348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(259,a,5737,a(flip),b,7346,a),flip(a)]. 7349 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(3457,a,7348,a)]. 7350 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(315(a,1),5242(a,1,2,1,2,2,2,2,1))]. 7351 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3963(a,1),7350(a,1,2,1))]. 7353 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6946(a,1),7351(a,1,2,1))]. 7355 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3991(a,1),7353(a,1,2,1))]. 7357 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(315(a,1),7355(a,1,2,2,1,2,1,2,2,2,1))]. 7358 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3939(a,1),7357(a,1,2,2,1,2))]. 7359 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5255(a,1),7358(a,1,2,2,1,2,2))]. 7360 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3210(a,1),7359(a,1,2,2,1,2,2))]. 7362 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3943(a,1),7360(a,1,2,2,1,2))]. 7363 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(1888(a,2),7362(a,1,2,2,1))]. 7364 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4406(a,2),7363(a,1,2))]. 7365 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(58,a,3924,a(flip),b,7364,a)]. 7366 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(2246(a,1),7365(a,1,2)),flip(a)]. 7367 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(259,a,4001,a(flip),b,7366,a),flip(a)]. 7368 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(2142(a,1),7367(a,1,1)),flip(a)]. 7369 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(58,a,6858,a,b,7368,a)]. 7370 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(2142(a,1),7369(a,1,1))]. 7371 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(7370(a,1),4005(a,1,2))]. 7372 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(4144,a,7371,a),flip(a)]. 7373 K(x \ L(x,y,z),K(u * x,w)) != v5 | K(u,K(w,x \ L(x,y,z))) = v5. [para(7372(a,2),3996(a,1))]. 7374 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(7373,a,6705,a),flip(a)]. 7375 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(259,a,3963,a,b,7374,a),flip(a)]. 7376 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(6977,a,7375,a)]. 7377 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(58,a,6719,a,b,7376,a)]. 7378 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(259,a,6669,a(flip),b,7377,a),flip(a)]. 7379 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(4143,a,7378,a)]. 7381 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(58,a,4042,a,b,7379,a)]. 7382 K(x,K(a(y,z,u),T((y * z) * u,w))) = K(x,K(y * z,a(y,z,u))). [hyper(58,a,6946,a,b,7381,a)]. 7383 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(58,a,7119,a(flip),b,7382,a)]. 7384 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(4904(a,1),7383(a,1,1)),flip(a)]. 7385 K(x,K(y * z,a(y,z,u))) = 1. [hyper(259,a,6358,a(flip),b,7384,a),flip(a)]. 7387 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(58,a,7379,a,b,7385,a)]. 7389 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(7387(a,1),4038(a,1,1)),flip(a)]. 7390 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(259,a,2,a(flip),b,7389,a),flip(a)]. 7391 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(7390(a,1),4182(a,1,1)),flip(a)]. 7392 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(3240,a,7391,a)]. 7393 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(4253,a,7392,a)]. 7394 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(58,a,5098,a,b,7393,a)]. 7395 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(7107(a,2),7394(a,1,1))]. 7396 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,6779,a,b,7395,a)]. 7397 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,7123,a(flip),b,7396,a)]. 7398 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(259,a,1388,a,b,7397,a)]. 7400 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(259,a,6785,a(flip),b,7398,a),flip(a)]. 7401 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(58,a,6251,a(flip),b,7400,a),flip(a)]. 7402 a(x,x,K(y,z)) = 1. [hyper(58,a,3456,a(flip),b,7401,a),flip(a)]. 7403 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(7401(a,1),6759(a,1,1,2))]. 7404 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(5765,a,7403,a),flip(a)]. 7405 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(7403(a,1),5765(a,1))]. 7406 (K(x,y) * ((K(y,x) * z) * u)) \ (L(z,K(w,v5),K(v6,w)) * u) = a(x,K(y,x) * z,K(u,y)). [hyper(58,a,6056,a,b,7404,a)]. 7407 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(58,a,7401,a(flip),b,7404,a),flip(a)]. 7408 a(x \ y,z,K(u,x)) = a(K(y,x),z,u). [hyper(58,a,2729,a(flip),b,7404,a),flip(a)]. 7409 a(x,y,K(z,x \ u)) = a(K(x,u),y,z). [hyper(58,a,2728,a(flip),b,7404,a),flip(a)]. 7410 a((x * y) / x,z,K(u,w)) = a(K(y,T(w,x)),z,u). [para(4075(a,1),7404(a,1,1)),flip(a)]. 7411 K(x,y) * K(y,L(x,z,u)) = a(x,z,K(y,u)). [hyper(259,a,6159,a,b,7407,a)]. 7412 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(259,a,6252,a(flip),b,7407,a),flip(a)]. 7413 (x * a(y,z,K(u,w))) * a(w,z,K(u,y)) = x. [hyper(125,a,7407,a,b,5759,a)]. 7414 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(125,a,7407,a,b,4,a)]. 7415 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [hyper(124,a,7407,a,b,5758,a)]. 7416 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(58,a,6252,a(flip),b,7407,a),flip(a)]. 7417 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(3964(a,1),7407(a,1,3))]. 7418 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(7407(a,1),6149(a,1,2))]. 7419 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,w,v5))). [para(6178(a,1),7407(a,1,3))]. 7420 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(7407(a,2),6255(a,1,1))]. 7421 a(x,y,K(z,u)) * (x * w) = T(x,a(u,y,z)) * w. [para(7407(a,2),6254(a,1,1))]. 7422 a(x,y,K(z,u)) * (x * w) != v5 | T(x,a(u,y,z)) * w = v5. [para(7407(a,2),6257(a,1,1))]. 7423 L(x,y,z) \ (u * a(x,w,K(v5,v6))) = (L(x,y,z) \ u) * a(v5,w,K(v6,x)). [para(7407(a,1),6691(a,1,2,2))]. 7424 a((x * y) / x,z,K(u,w)) = K(y,T(a(w,z,u),x)). [hyper(259,a,4075,a(flip),b,7412,a),flip(a)]. 7426 a(L(x,y,z) * (z * y),y,K(T(x,z * y),z)) = K(L(x,y,z) * (z * y),x * (z * y)). [hyper(2548,a,7412,a(flip)),flip(a)]. 7427 (x * y) * a(y,z,K(u,w)) != x * v5 | T(y,a(w,z,u)) = v5. [para(7412(a,2),2977(a,1,2))]. 7428 a((x * y) * z,y,K(z,x)) * (x * (y * z)) = T(x * (y * z),(x * y) * z). [para(7412(a,2),3593(a,1,1))]. 7429 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(7412(a,1),6252(a,2,2))]. 7430 a(x,y,K(K(z,u),w)) * ((w * y) \ ((w * (y * z)) / z)) = T((w * y) \ ((w * (y * z)) / z),K(x,u)). [para(7412(a,2),6688(a,1,1))]. 7431 a(x,y,K(z,u)) * (u / w) = T(u,a(z,y,x)) / w. [para(7416(a,2),6362(a,1,1))]. 7432 a(x \ y,z,K(u,x)) = a(y,z,K(u,x)). [hyper(259,a,7404,a(flip),b,7408,a),flip(a)]. 7433 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(259,a,7404,a(flip),b,7409,a),flip(a)]. 7435 a(x * y,z,K(u,x)) = a(y,z,K(u,x)). [para(4(a,1),7432(a,1,1)),flip(a)]. 7436 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(4(a,1),7433(a,1,3,2)),flip(a)]. 7437 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(7401(a,1),7405(a,1))]. 7438 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(7407(a,1),7437(a,1))]. 7440 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(7411(a,1),3533(a,1,1))]. 7441 a(x,y,K(z,u)) \ w != v5 | a(u,y,K(z,x)) * w = v5. [para(7415(a,1),243(a,1,2)),flip(b)]. 7442 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(3941(a,1),7417(a,2,3)),flip(a)]. 7443 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(3966(a,1),7417(a,2,3))]. 7445 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(3978(a,1),7418(a,1,2,3))]. 7446 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(7188,a,7429,a(flip))]. 7447 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(3963(a,1),7429(a,1,3))]. 7448 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(7407(a,2),7440(a,1,1))]. 7449 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(6218,a,7443,a)]. 7450 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(58,a,7417,a(flip),b,7447,a)]. 7451 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(259,a,6146,a,b,7448,a),flip(a)]. 7452 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(259,a,4295,a(flip),b,7451,a),flip(a)]. 7453 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(7451(a,1),39(a,1))]. 7454 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(7451(a,2),4358(a,1))]. 7455 a((x * y) / x,z,K(u,w)) != v5 | a(y,z,K(u,T(w,x))) = v5. [para(7410(a,2),7405(a,1))]. 7456 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(7438,a,7419,a)]. 7458 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(5757(a,1),7441(a,1))]. 7459 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(7407(a,1),7458(a,1,1))]. 7460 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [hyper(259,a,6146,a,b,7445,a),flip(a)]. 7461 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(259,a,5685,a,b,7445,a),flip(a)]. 7462 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(7427,a,6737,a),flip(a)]. 7463 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(6510,a,7462,a)]. 7464 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(7462(a,1),6510(a,1))]. 7466 x * L(T(L(y \ 1,z,K(u,w)),v5),y,x) = x / T(T(y,a(w,z,u)),v5). [para(7463(a,2),5178(a,1,2,1,1))]. 7467 a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * w. [para(7463(a,2),7421(a,2,1))]. 7469 x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. [para(6253(a,2),7464(a,1))]. 7470 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(7469,a,7414,a),flip(a)]. 7471 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(7469,a,7414,a(flip)),flip(a)]. 7473 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(7407(a,2),7469(a,1,2))]. 7474 T(L(x,y,K(z,u)),a(z,y,u)) = x. [para(7470(a,1),6678(a,1,1))]. 7475 T(T(x,a(y,z,u)),a(u,z,y)) = x. [para(7463(a,1),7474(a,1,1))]. 7476 T(x,a(y,z,u)) * a(u,z,y) = a(u,z,y) * x. [hyper(125,a,7475,a(flip),b,106,a),flip(a)]. 7478 a(x,y,K(z,u)) * (u * w) = L(u,y,K(x,z)) * w. [hyper(7458,a,7467,a)]. 7481 K(x,T(a(y,z,u),w)) != v5 | a(x,z,K(u,T(y,w))) = v5. [para(7424(a,1),7455(a,1))]. 7482 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(3979(a,1),7449(a,1,2))]. 7483 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(259,a,7307,a,b,7452,a)]. 7484 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(90(a,2),7452(a,2,2,2)),flip(a)]. 7485 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(3990(a,1),7452(a,1,1,3))]. 7486 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(29,a,7460,a,b,7461,a)]. 7488 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(5(a,1),7486(a,1,2)),flip(a)]. 7489 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(3966(a,2),7486(a,1,3))]. 7490 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(3966(a,2),7489(a,2,3))]. 7491 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(58,a,6077,a(flip),b,7482,a)]. 7492 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(5749(a,1),7491(a,1,1))]. 7493 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(3979(a,1),7492(a,2,3))]. 7494 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(3963(a,1),7454(a,1,1,3))]. 7495 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / T(T(y,a(v5,u,w)),z). [para(20(a,2),7466(a,1,2,1))]. 7496 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(7494,a,7485,a),flip(a)]. 7497 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(73(a,1),7496(a,1,2,2,3)),flip(a)]. 7498 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / T(L(y,u,K(w,v5)),z). [para(7463(a,2),7495(a,2,2,1))]. 7499 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / L(T(y,z),u,K(w,v5)). [para(20(a,2),7498(a,2,2))]. 7500 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(7453,a,7483,a)]. 7501 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(870(a,1),7500(a,1,2))]. 7502 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(1597(a,1),7500(a,1,2))]. 7503 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(58,a,6376,a(flip),b,7501,a),flip(a)]. 7504 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(3966(a,2),7503(a,2,3))]. 7505 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(6315(a,1),7504(a,2,3))]. 7506 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(5(a,1),7505(a,1,3,2,2))]. 7507 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(3966(a,1),7506(a,1,3))]. 7508 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(5(a,1),7507(a,2,3,2,2))]. 7509 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(3966(a,1),7508(a,2,3))]. 7510 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(73(a,1),7509(a,1,2,2))]. 7511 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(3966(a,2),7510(a,1,3))]. 7512 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(3966(a,2),7511(a,2,3))]. 7513 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(58,a,7442,a,b,7512,a)]. 7514 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(3979(a,1),7513(a,2,3))]. 7515 x * (a((x * y) * z,y,K(z,x)) * (y * z)) = T(x * (y * z),(x * y) * z). [hyper(58,a,6689,a(flip),b,7428,a)]. 7516 x * (a((x * y) * z,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [hyper(259,a,359,a(flip),b,7515,a),flip(a)]. 7517 x * (a(x * y,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [para(7349(a,1),7516(a,1,2,1))]. 7518 x * (a(y,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [para(7435(a,1),7517(a,1,2,1))]. 7519 T(x * (y * z),a(x,y,z)) = x * (1 * (y * z)). [para(7402(a,1),7518(a,1,2,1)),flip(a)]. 7520 T(x * (y * z),a(x,y,z)) = x * (y * z). [para(2(a,1),7519(a,2,2))]. 7522 T(x * (y * z),(x * y) * z) = x * (y * z). [hyper(464,a,7520,a)]. 7523 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(125,a,7520,a(flip),b,1041,a(flip))]. 7525 ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. [hyper(123,a,7523,a(flip),b,89,a)]. 7526 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(7523(a,1),268(a,1,1))]. 7528 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(123,a,7522,a(flip),b,709,a(flip))]. 7529 x / (y * (z * ((y * z) \ x))) != u | a(y,z,(y * z) \ x) = u. [para(5(a,1),7526(a,1,1))]. 7530 ((x * y) * z) / L(y * z,x,a(x,y,z)) = x * a(x,y,z). [hyper(259,a,5590,a(flip),b,7525,a),flip(a)]. 7531 (((x * y) * z) \ (x * (y * z))) \ 1 = a(z \ 1,y \ 1,x \ 1). [para(7528(a,1),2636(a,1,1))]. 7532 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(7488(a,1),7484(a,2,1))]. 7533 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(259,a,7452,a(flip),b,7532,a),flip(a)]. 7534 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(90(a,1),7533(a,1,2,2))]. 7535 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(58,a,7218,a(flip),b,7534,a),flip(a)]. 7536 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(4779(a,2),7534(a,1,2,2))]. 7537 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(58,a,7297,a(flip),b,7535,a)]. 7538 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(5(a,1),7537(a,2,2,2,2))]. 7539 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(259,a,7183,a,b,7538,a),flip(a)]. 7540 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(7538(a,2),7185(a,1))]. 7541 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(58,a,7299,a(flip),b,7539,a)]. 7542 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(7539(a,2),7185(a,1))]. 7543 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. [para(6307(a,1),7540(a,1,2))]. 7544 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(2036(a,2),7541(a,2,2,2,1))]. 7545 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(7543,a,7541,a),flip(a)]. 7546 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(6308(a,1),7544(a,1,2))]. 7547 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(7540,a,7546,a),flip(a)]. 7548 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(58,a,7291,a(flip),b,7547,a)]. 7549 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(7237,a,7548,a)]. 7550 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(58,a,7249,a,b,7549,a)]. 7551 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(58,a,7247,a(flip),b,7549,a),flip(a)]. 7552 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(7250,a,7550,a)]. 7553 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(7186,a,7551,a)]. 7554 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(58,a,7545,a,b,7551,a)]. 7555 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(58,a,6979,a(flip),b,7551,a),flip(a)]. 7556 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(58,a,6524,a,b,7553,a)]. 7557 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(384(a,1),7553(a,1,2,2))]. 7558 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(6645(a,1),7553(a,1,2,2,2,1)),flip(a)]. 7559 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(7186,a,7554,a)]. 7560 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(58,a,7536,a(flip),b,7556,a)]. 7561 a(L(x,y,z) * (z * y),y,K(x,T(z,z * y))) = K(L(x,y,z) * (z * y),x * (z * y)). [para(3191(a,1),7426(a,1,3))]. 7562 (K(x,y) * ((K(y,x) * z) * u)) \ (z * u) = a(x,K(y,x) * z,K(u,y)). [para(393(a,1),7406(a,1,2,1))]. 7563 a(x,K(y,x) * z,K(y \ u,y)) = K(x,y) * K(y,L(x,u,z)). [hyper(58,a,6867,a(flip),b,7562,a),flip(a)]. 7564 a(x,K(y,x) * z,K(u,y)) = K(x,y) * K(y,L(x,u,z)). [hyper(58,a,5811,a(flip),b,7563,a)]. 7565 a(x,K(x,y) * z,K(y,u)) = K(y,x) * K(x,L(y,u,z)). [hyper(7438,a,7564,a)]. 7566 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(6957(a,1),7446(a,2,3))]. 7567 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(7018(a,1),7557(a,1,2)),flip(a)]. 7568 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(259,a,7559,a(flip),b,7558,a),flip(a)]. 7570 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(58,a,7552,a(flip),b,7568,a)]. 7571 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(7185,a,7570,a)]. 7573 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(58,a,7234,a(flip),b,7570,a)]. 7574 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(4146,a,7573,a)]. 7575 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(103(a,1),7573(a,1,2,2,2)),flip(a)]. 7576 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(7237,a,7575,a),flip(a)]. 7577 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(7253,a,7576,a)]. 7578 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(58,a,7271,a(flip),b,7577,a),flip(a)]. 7579 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(58,a,7179,a(flip),b,7566,a)]. 7581 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(58,a,7574,a(flip),b,7579,a)]. 7582 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(6980,a,7581,a)]. 7583 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(259,a,7490,a,b,7581,a),flip(a)]. 7584 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(7581(a,1),3977(a,1))]. 7585 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(7(a,1),7582(a,1,2,2,2,2))]. 7586 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(7(a,1),7583(a,2,2))]. 7587 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(259,a,4015,a(flip),b,7567,a),flip(a)]. 7588 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(58,a,7295,a(flip),b,7587,a),flip(a)]. 7590 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(259,a,7291,a(flip),b,7588,a),flip(a)]. 7591 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(7239,a,7590,a)]. 7592 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(533(a,1),7590(a,1,2,2,2))]. 7593 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(259,a,7200,a(flip),b,7592,a),flip(a)]. 7595 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(58,a,7276,a(flip),b,7593,a),flip(a)]. 7597 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(99(a,1),7595(a,1,2,2)),flip(a)]. 7598 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(7240,a,7597,a)]. 7599 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(7217,a,7598,a),flip(a)]. 7600 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(7016,a,7598,a)]. 7601 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(7217,a,7599,a),flip(a)]. 7602 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(7241,a,7601,a),flip(a)]. 7603 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(7239,a,7601,a)]. 7604 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(58,a,7555,a(flip),b,7601,a),flip(a)]. 7605 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(58,a,7591,a(flip),b,7604,a)]. 7606 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(259,a,7231,a(flip),b,7602,a),flip(a)]. 7607 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(259,a,6380,a(flip),b,7600,a),flip(a)]. 7608 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(259,a,7571,a(flip),b,7607,a),flip(a)]. 7609 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(4146,a,7608,a)]. 7610 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(7393(a,1),7609(a,1,2)),flip(a)]. 7611 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(2972(a,1),7606(a,1,2,2,2))]. 7612 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(7238,a,7611,a)]. 7613 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(58,a,7612,a(flip),b,7605,a)]. 7614 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,7578,a(flip),b,7613,a),flip(a)]. 7615 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,7497,a(flip),b,7614,a)]. 7616 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(58,a,7309,a,b,7615,a)]. 7617 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(7616(a,1),7277(a,1,1)),flip(a)]. 7618 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(259,a,7450,a,b,7610,a),flip(a)]. 7619 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(3978(a,1),7617(a,2,2))]. 7621 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(259,a,6077,a(flip),b,7619,a),flip(a)]. 7622 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(5749(a,1),7621(a,2,1))]. 7623 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(259,a,7493,a(flip),b,7622,a),flip(a)]. 7624 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(7243(a,1),7623(a,1,2))]. 7625 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(3978(a,1),7624(a,1,3))]. 7626 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(6206,a,7625,a)]. 7627 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(158(a,1),7626(a,1,2,1))]. 7628 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(58,a,7618,a,b,7627,a)]. 7629 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(58,a,7514,a(flip),b,7627,a)]. 7630 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(259,a,7443,a,b,7629,a),flip(a)]. 7631 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(3966(a,1),7628(a,2,3))]. 7632 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(3828(a,1),7631(a,1,2,2,2,1))]. 7633 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(321(a,1),7632(a,1,2,2,2,1,2))]. 7634 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(6299(a,1),7633(a,1,2))]. 7635 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(3638(a,1),7634(a,1,2,2,1))]. 7636 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(58,a,7603,a(flip),b,7635,a)]. 7637 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(7222,a,7636,a)]. 7638 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(3542(a,1),7637(a,2,3,2))]. 7639 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(7199(a,1),7638(a,2,3))]. 7640 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(58,a,7585,a(flip),b,7639,a)]. 7642 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(70(a,1),7640(a,1,3,2,1))]. 7643 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7296(a,1),7642(a,1,3))]. 7644 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(3963(a,1),7643(a,1,3))]. 7645 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(6548(a,1),7644(a,1,3))]. 7646 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(58,a,7488,a(flip),b,7645,a),flip(a)]. 7647 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(3979(a,1),7646(a,1,3))]. 7648 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(58,a,7502,a,b,7647,a)]. 7649 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(58,a,7630,a(flip),b,7648,a),flip(a)]. 7650 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(3963(a,1),7649(a,2,3))]. 7651 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(7584,a,7650,a)]. 7652 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(3966(a,2),7651(a,2,3))]. 7653 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(58,a,7586,a(flip),b,7652,a)]. 7654 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(4010(a,1),7653(a,1,3))]. 7655 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(3979(a,1),7654(a,2,3))]. 7656 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(58,a,7650,a(flip),b,7655,a),flip(a)]. 7657 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(7656(a,1),7451(a,1,1))]. 7658 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(3963(a,1),7657(a,1,2))]. 7659 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(7494,a,7658,a),flip(a)]. 7660 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(4357,a,7659,a)]. 7661 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(259,a,7560,a(flip),b,7660,a),flip(a)]. 7662 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(1052(a,1),7660(a,1,2,2)),flip(a)]. 7663 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(4618(a,1),7660(a,1,2)),flip(a)]. 7664 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(7542,a,7661,a)]. 7665 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(7663(a,2),4141(a,1))]. 7666 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(259,a,6947,a,b,7662,a),flip(a)]. 7667 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(259,a,7664,a(flip),b,7666,a),flip(a)]. 7668 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(259,a,7292,a(flip),b,7667,a),flip(a)]. 7671 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(4116(a,1),7668(a,2,2))]. 7672 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(259,a,6946,a(flip),b,7671,a),flip(a)]. 7675 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(58,a,7536,a(flip),b,7672,a)]. 7676 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(7665,a,7675,a),flip(a)]. 7679 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(5692(a,1),7676(a,1,2)),flip(a)]. 7681 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(259,a,4015,a(flip),b,7679,a),flip(a)]. 7688 T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. [para(7681(a,1),3969(a,1,1)),flip(a)]. 7690 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(7681(a,1),4297(a,1,2))]. 7693 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(7681(a,1),6967(a,1,1))]. 7694 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(259,a,3969,a(flip),b,7688,a),flip(a)]. 7695 T(x * K(y,L(z,u,w)),K(y,z)) = K(y,L(z,u,w)) * x. [hyper(4033,a,7694,a),flip(a)]. 7697 T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. [hyper(124,a,7694,a(flip),b,4023,a)]. 7698 L(x,y,K(z,K(u,w))) = x. [hyper(6465,a,7690,a)]. 7700 a(x,y,K(z,K(u,w))) = 1. [hyper(121,a,7690,a(flip),b,7523,a),flip(a)]. 7701 x * (y * (z * K(x,K(u,w)))) = T(x,K(u,w)) * (y * z). [para(7690(a,1),6927(a,1,2))]. 7703 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [hyper(2064,a,7698,a),flip(a)]. 7705 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [hyper(58,a,4178,a(flip),b,7698,a),flip(a)]. 7707 a(x,y,K(K(z,u),w)) = 1. [hyper(119,a,7698,a(flip),b,7470,a),flip(a)]. 7708 T(x,a(y,z,K(u,w))) = x. [para(7698(a,1),7474(a,1,1))]. 7710 K(x,K(y,a(z,u,w))) = 1. [hyper(58,a,7450,a(flip),b,7700,a)]. 7713 T((x * y) \ ((x * (y * z)) / z),K(u,w)) = 1 * ((x * y) \ ((x * (y * z)) / z)). [para(7707(a,1),7430(a,1,1)),flip(a)]. 7714 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2126,a,7708,a),flip(a)]. 7715 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(49,a,7708,a)]. 7724 K(x,K(y,L(z,u,w) \ z)) = 1. [para(6243(a,2),7710(a,1,2))]. 7725 T(L(x,y,z) \ x,K(u,w)) = (L(x,y,z) \ x) * 1. [para(7724(a,1),3957(a,1,2)),flip(a)]. 7727 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(7715(a,1),6561(a,1,1)),flip(a)]. 7728 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(7459,a,7714,a)]. 7729 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(7458,a,7714,a)]. 7730 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(7422,a,7714,a),flip(a)]. 7732 x / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)). [hyper(123,a,7413,a(flip),b,7714,a)]. 7734 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(7714(a,1),7459(a,1))]. 7736 K(a(x,y,z),u) * w = w * a(z,y,K(u,x)). [para(6677(a,1),7728(a,1,1))]. 7737 (x \ y) * a(x,z,K(u,w)) = T(x,a(u,z,w)) \ y. [hyper(6682,a,7729,a),flip(a)]. 7738 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(w,z,K(y,u))). [hyper(125,a,7729,a,b,4,a)]. 7739 (x / y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) / y. [hyper(58,a,7431,a(flip),b,7729,a),flip(a)]. 7741 a(x,y,K(x \ z,u)) = w / (w * a(u,y,K(z,x))). [para(1406(a,1),7732(a,1,2,2,3)),flip(a)]. 7742 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(259,a,6931,a,b,7693,a),flip(a)]. 7743 (x * y) \ (x * (K(z,K(u,w)) * (y * v5))) != v6 | L(v5 * K(z,K(u,w)),y,x) = v6. [para(7693(a,2),542(a,1,2,2))]. 7744 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) != v6 | a(x,w,v5 * K(y,K(z,u))) = v6. [para(7693(a,2),1044(a,1,1,2))]. 7746 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(259,a,7693,a(flip),b,7703,a),flip(a)]. 7747 (x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5). [para(7693(a,1),7703(a,1,1))]. 7749 T(L(x,y,z) \ x,K(u,w)) = L(x,y,z) \ x. [hyper(259,a,3,a(flip),b,7725,a),flip(a)]. 7750 K(x,y) * (L(z,u,w) \ z) = (L(z,u,w) \ z) * K(x,y). [hyper(125,a,7749,a(flip),b,17,a(flip))]. 7751 T(L(x,y,z) \ x,T(u,w)) = T(L(x,y,z) \ x,u). [para(7749(a,1),3667(a,1,1)),flip(a)]. 7752 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(29,a,4135,a,b,7730,a)]. 7753 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(7481,a,7752,a)]. 7755 a(x,y,K(z,u)) * T(x,w) = T(T(x,w),a(u,y,z)). [para(7752(a,1),3217(a,1,1))]. 7756 T(a(x,y,K(z,u)),w) = a(x,y,K(z,T(u,v5))). [hyper(259,a,7715,a,b,7753,a)]. 7757 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,z)). [hyper(58,a,3239,a,b,7753,a)]. 7758 K(L(x,y,z) * (z * y),x * (z * y)) = a(L(x,y,z) * (z * y),y,K(x,z)). [hyper(58,a,7561,a(flip),b,7753,a)]. 7759 T(x,a(y,z,T(u,w))) = a(y,z,K(x,u)) * x. [para(7753(a,1),6255(a,1,1)),flip(a)]. 7760 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(7756(a,1),248(a,1))]. 7761 T(x * y,a(z,u,T(y,w))) = a(z,u,K(x,y)) * (x * y). [para(1534(a,1),7759(a,2,1,3))]. 7762 T(x,a(y,z,T(u,w))) != v5 | T(x,a(y,z,u)) = v5. [para(7759(a,2),6256(a,1))]. 7764 a(x,y,T(K(z,u),w)) != v5 | a(x,y,K(z,u)) = v5. [para(3190(a,1),7760(a,1,3))]. 7766 a(x,y,K(x \ z,u)) = a(x,y,K(z,u)). [hyper(259,a,7732,a(flip),b,7741,a),flip(a)]. 7767 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [hyper(606,a,7742,a)]. 7771 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(6924(a,1),7746(a,1,1))]. 7772 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(30,a,7420,a,b,7755,a)]. 7773 a(L(x,y,z) * (z * y),u,K(w,v5)) = a(z * (y * x),u,K(w,v5)). [para(738(a,1),7772(a,1,1))]. 7774 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(58,a,7705,a,b,7767,a)]. 7775 x \ (y * (z * K(u,K(w,v5)))) = K(u,K(w,v5)) * (x \ (y * z)). [para(7693(a,1),7767(a,1,2))]. 7776 x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). [para(7742(a,1),7767(a,1,2))]. 7777 (x * (y * (z * K(u,K(w,v5))))) \ ((x * (y * K(u,K(w,v5)))) * z) = a(x,y * K(u,K(w,v5)),z). [para(7771(a,1),9(a,2,1,2)),flip(a)]. 7778 K(x,K(y,z)) * ((u * w) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [hyper(1121,a,7774,a),flip(a)]. 7779 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(7693(a,1),7774(a,1,1))]. 7780 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(7742(a,1),7774(a,1,1))]. 7782 K(x,L(y,z,u)) * (x \ y) = (x \ y) * K(x,L(y,z,u)). [hyper(58,a,7024,a(flip),b,7695,a),flip(a)]. 7783 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(y,L(x,z,u)) * K(x,y)). [para(7697(a,1),4871(a,1,2))]. 7784 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [para(7714(a,2),7727(a,1,1))]. 7785 x * (a(y,z,K(u,w)) * v5) = x * (K(a(u,z,w),y) * v5). [para(7736(a,2),7738(a,2,2))]. 7786 K(x,T(y,L(z,u,w) \ z)) = K(x,y). [hyper(3240,a,7750,a)]. 7787 (x / T(T(y,L(z,u,w) \ z),v5)) \ (x * K(v5,y)) = T(y,L(z,u,w) \ z). [para(7786(a,1),3580(a,1,2,2))]. 7788 L(T(x,L(y,z,u) \ y) \ 1,T(x,L(y,z,u) \ y),w) * K(v5,x) = L(T(T(x,L(y,z,u) \ y) \ 1,v5),T(x,L(y,z,u) \ y),w). [para(7786(a,1),3020(a,1,2))]. 7789 K(x,T(y,a(z,u,w))) = K(x,y). [para(6245(a,1),7786(a,1,2))]. 7794 K(x,L(y,z,K(u,w))) = K(x,y). [para(7463(a,2),7789(a,1,2))]. 7798 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(7794(a,1),6152(a,1,2))]. 7801 K(x,K(y,K(z,u) * w)) = (v5 * ((K(v5,v6) * w) * K(x,y))) \ (T(v5,v6) * (K(x,y) * w)). [para(7798(a,2),7252(a,2,1,2))]. 7802 T(x * y,a(z,u,T(y,w))) = T(x,a(z,u,y)) * y. [hyper(259,a,6254,a(flip),b,7761,a),flip(a)]. 7803 T(x * y,a(z,u,y)) = T(x,a(z,u,y)) * y. [hyper(7762,a,7802,a)]. 7804 T(x * y,a(z,x,y)) = x * y. [para(6685(a,1),7803(a,2,1))]. 7805 T(x * y,z \ ((z * x) * y)) = x * y. [hyper(2596,a,7804,a)]. 7806 a(x,y,z) * (y * x) = (y * x) * a(x,y,z). [para(7804(a,1),7476(a,1,1)),flip(a)]. 7807 (x * y) / (z \ ((z * x) * y)) = (z \ ((z * x) * y)) \ (x * y). [hyper(123,a,7805,a(flip),b,709,a(flip))]. 7808 (x * (x \ y)) * a(x \ y,x,z) = a(x \ y,x,z) * y. [hyper(279,a,7806,a),flip(a)]. 7809 (x / y) * T((y \ x) \ T((y \ x) * K(y,L(x,z,u)),x),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(7782(a,1),6870(a,1,2,1,2,1))]. 7810 T(a(x,y,K(z,u)) * L(w,v5,v6),v7) = a(x,y,K(z,u)) * L(T(w,v7),v5,v6). [para(20(a,2),7784(a,2,2))]. 7811 T(a(x \ y,x,z),y) = a(x \ y,x,z). [hyper(216,a,7808,a(flip),b,147,a(flip))]. 7813 (x * (y * (z * K(u,K(w,v5))))) \ v6 = K(u,K(w,v5)) * ((x * (y * z)) \ v6). [para(7690(a,1),7779(a,1,1,2))]. 7814 (x \ ((x * y) * (y \ z))) \ (y * (y \ z)) = z / (x \ ((x * y) * (y \ z))). [para(5(a,1),7807(a,1,1)),flip(a)]. 7815 (x \ ((x * y) * ((x * y) \ z))) \ (y * ((x * y) \ z)) = (y * ((x * y) \ z)) / (x \ z). [para(5(a,1),7807(a,1,2,2)),flip(a)]. 7817 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(x,y) * K(y,L(x,z,u))). [hyper(259,a,6911,a,b,7783,a),flip(a)]. 7818 (x * L(T(T(y \ 1,L(z,u,w) \ z),v5),y,x)) \ (x * K(v5,y)) = T(y,L(z,u,w) \ z). [para(5178(a,2),7787(a,1,1))]. 7819 x / (y \ ((y * z) * (z \ x))) = (y \ ((y * z) * (z \ x))) \ x. [para(5(a,1),7814(a,1,2)),flip(a)]. 7821 K(L(x,y,z) * (z * y),x * (z * y)) = a(z * (y * x),y,K(x,z)). [hyper(259,a,7773,a(flip),b,7758,a),flip(a)]. 7822 K(L(x,y,z) * (z * y),x * (z * y)) = a(y * x,y,K(x,z)). [hyper(259,a,7435,a(flip),b,7821,a),flip(a)]. 7823 a(x * y,x,K(y,z)) * a(z,x,T(y,z * x)) = (y * (z * x)) / (L(y,x,z) * (z * x)). [para(7822(a,1),2549(a,1,1))]. 7824 ((x * y) * R(z,x,y)) \ ((x * y) * z) = (z * x) \ ((z * (x * y)) / y). [hyper(118,a,7713,a(flip),b,6638,a(flip)),flip(a)]. 7827 ((x * y) * R(x,x,y)) \ (x * (y * x)) = (x * x) \ ((x * (x * y)) / y). [para(679(a,1),7824(a,1,2))]. 7828 (x * y) * R(x,x,y) = (x * x) * T(y,x). [hyper(34,a,3372,a,b,7827,a),flip(a)]. 7829 T((x * x) * y,x) = (x * x) * T(y,x). [hyper(6505,a,7828,a)]. 7830 (x * (y * x)) \ T((x * x) * y,x) = a(x,x,T(y,x)). [hyper(120,a,7829,a,b,1043,a)]. 7831 T((x * x) * y,x) / L(x * T(y,x),x,a(x,x,T(y,x))) = x * a(x,x,T(y,x)). [para(7829(a,2),7530(a,1,1))]. 7832 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = a(y,y,T(x,y)). [hyper(58,a,6808,a,b,7830,a)]. 7833 (x * y) \ ((T(y,x \ 1) * (x * x)) / x) = a(x,x,T(y,x)). [para(1937(a,1),7832(a,1,1))]. 7834 (x * y) \ (T((x * x) * y,x) / x) = a(x,x,T(y,x)). [para(6562(a,2),7833(a,1,2,1))]. 7835 (x * y) \ (x \ ((x * x) * y)) = a(x,x,T(y,x)). [para(743(a,1),7834(a,1,2))]. 7836 a(x,x,T(y,x)) = a(x,x,y). [hyper(2595,a,7835,a),flip(a)]. 7837 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) != v6 | L(v5 * K(x,K(y,z)),w,u) = v6. [para(7776(a,1),7743(a,1))]. 7838 T((x * x) * y,x) / L(y * x,x,a(x,x,T(y,x))) = x * a(x,x,T(y,x)). [para(103(a,1),7831(a,1,2,1))]. 7839 T((x * x) * y,x) / L(y * x,x,a(x,x,y)) = x * a(x,x,T(y,x)). [para(7836(a,1),7838(a,1,2,3))]. 7840 T((x * x) * y,x) / L(y * x,x,a(x,x,y)) = x * a(x,x,y). [para(7836(a,1),7839(a,2,2))]. 7841 K(K(x,y),K(z,u) * w) = (v5 * ((K(v5,v6) * w) * K(x,y))) \ (T(v5,v6) * (K(x,y) * w)). [hyper(3960,a,7801,a)]. 7842 (x \ ((x * y) * ((x * y) \ z))) \ (y * ((x * y) \ z)) = z / (x \ ((x * y) * (y \ z))). [hyper(259,a,920,a(flip),b,7815,a),flip(a)]. 7843 x * (K(y,z) * (K(x,u) * w)) = T(x,u) * (K(y,z) * w). [hyper(3290,a,7841,a(flip))]. 7844 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(29,a,3398,a,b,7843,a)]. 7846 (T(x,y) * (K(z,u) * w)) \ ((x * (K(x,y) * w)) * T(K(z,u),K(x,y) * w)) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(7843(a,1),207(a,1,1))]. 7849 K(x,y) * (K(z,u) * (y \ w)) = K(z,u) * (T(y,x) \ w). [para(3486(a,1),7844(a,1,2)),flip(a)]. 7850 K(x,y) * (K(z,u) * L(y \ 1,y,w)) = K(z,u) * L(T(y \ 1,x),y,w). [para(3021(a,1),7844(a,1,2)),flip(a)]. 7852 (x \ y) * (K(z,x) * K(x,L(z,u,w))) = K(x,L(z,u,w)) * (T(x,z) \ y). [hyper(58,a,7817,a(flip),b,7849,a)]. 7853 (x \ y) * (K(x,L(z,u,w)) * K(z,x)) = K(x,L(z,u,w)) * (T(x,z) \ y). [hyper(58,a,7783,a(flip),b,7849,a)]. 7854 a(x,y,K(z,u)) * L(x \ 1,x,w) = L(T(x \ 1,a(z,y,u)),x,w). [hyper(29,a,7785,a,b,7850,a(flip))]. 7856 a(x,y,K(z,u)) * L(x \ 1,x,w) = L(L(x \ 1,y,K(u,z)),x,w). [para(7463(a,2),7854(a,2,1))]. 7857 T((x / T(y,z)) * K(y,L(z,u,w)),y) = K(y,L(z,u,w)) * (T(y,z) \ x). [hyper(58,a,6585,a,b,7852,a)]. 7859 T((x \ y) * K(x,L(y,z,u)),x) = K(x,L(y,z,u)) * (T(x,y) \ y). [para(345(a,1),7857(a,1,1,1))]. 7860 (x \ y) * (K(x,L(y,z,u)) * K(y,x)) = T((x \ y) * K(x,L(y,z,u)),x). [hyper(259,a,7853,a,b,7859,a)]. 7861 T((x \ y) * K(x,L(y,z,u)),x) = K(x,L(y,z,u)) * T(x \ y,y). [para(350(a,2),7859(a,2,2))]. 7862 T(K(x,L(y,z,u)) * (x \ y),y) = T((x \ y) * K(x,L(y,z,u)),x). [hyper(259,a,6238,a,b,7861,a)]. 7863 T((x \ y) * K(x,L(y,z,u)),y) = T((x \ y) * K(x,L(y,z,u)),x). [para(7782(a,1),7862(a,1,1))]. 7864 (x \ ((x * y) * ((x * y) \ z))) \ (y * ((x * y) \ z)) = (x \ ((x * y) * (y \ z))) \ z. [hyper(259,a,7819,a(flip),b,7842,a),flip(a)]. 7865 (x \ ((x * y) * (y \ z))) \ z = (x \ z) \ (y * ((x * y) \ z)). [para(5(a,1),7864(a,1,1,2)),flip(a)]. 7866 a(x,x,K(y,z)) * a(z,x,T(y,z * x)) = (y * (z * x)) / (L(y,x,z) * (z * x)). [para(7349(a,1),7823(a,1,1))]. 7867 (x * (y * z)) / (L(x,z,y) * (y * z)) = 1 * a(y,z,T(x,y * z)). [para(7402(a,1),7866(a,1,1)),flip(a)]. 7868 (x * (y * z)) / (L(x,z,y) * (y * z)) != u | a(y,z,T(x,y * z)) = u. [para(7867(a,2),126(a,1))]. 7870 (x * (y * (z * K(x,K(u,w))))) \ ((T(x,K(u,w)) * y) * z) = a(x,y * K(x,K(u,w)),z). [para(6927(a,1),7777(a,1,2,1))]. 7871 (x * (y * (z * K(u,K(w,v5))))) \ (K(u,K(w,v5)) * ((x * y) * z)) = a(x,y * K(u,K(w,v5)),z). [para(7747(a,1),7777(a,1,2))]. 7872 (T(x,K(y,z)) * (u * w)) \ ((T(x,K(y,z)) * u) * w) = a(x,u * K(x,K(y,z)),w). [para(7701(a,1),7870(a,1,1))]. 7873 a(x,y * K(x,K(z,u)),w) = a(T(x,K(z,u)),y,w). [hyper(1044,a,7872,a),flip(a)]. 7874 K(x,K(y,z)) * ((u * (w * v5)) \ (K(x,K(y,z)) * ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [hyper(58,a,7813,a(flip),b,7871,a)]. 7875 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [para(7767(a,1),7874(a,1,2))]. 7876 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w * K(x,K(y,z)),v5). [para(9(a,2),7875(a,1,2,2))]. 7877 a(x,y * K(z,K(u,w)),v5) != v6 | a(x,y,v5) = v6. [para(7876(a,1),4003(a,1))]. 7880 a(T(x,K(y,z)),u,w) != v5 | a(x,u,w) = v5. [para(7873(a,1),7877(a,1))]. 7881 a((x * y) / z,y,x) = a(z \ (x * y),y,x). [hyper(7880,a,6735,a),flip(a)]. 7882 a(T(x,T(y,z)),u,w) != v5 | a(T(x,y),u,w) = v5. [para(3665(a,1),7880(a,1,1))]. 7884 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * (w * v5))) \ ((u * w) * v5)) = a(u,w,v5 * K(x,K(y,z))). [hyper(7744,a,7775,a),flip(a)]. 7885 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w,v5 * K(x,K(y,z))). [para(7780(a,1),7884(a,1,2))]. 7886 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w,v5 * K(x,K(y,z))). [para(9(a,2),7885(a,1,2,2))]. 7887 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(4003,a,7886,a),flip(a)]. 7889 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [para(3172(a,1),7887(a,1,3))]. 7890 a(x,y,T(z,T(u,w))) = a(x,y,T(z,u)). [para(4232(a,1),7889(a,1,3))]. 7891 (T(x,y) * (K(z,u) * w)) \ ((T(x,y) * w) * T(K(z,u),K(x,y) * w)) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(3398(a,1),7846(a,1,2,1))]. 7892 (T(x,y) * (K(z,u) * w)) \ ((T(x,y) * w) * K(z,T(u,K(x,y) * w))) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(3190(a,2),7891(a,1,2,2))]. 7893 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = (T(x,y) * (K(u,w) * z)) \ ((T(x,y) * z) * K(u,T(w,z))). [para(7155(a,1),7892(a,1,2,2)),flip(a)]. 7894 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = a(T(x,y),z,K(u,w)). [hyper(259,a,7757,a(flip),b,7893,a),flip(a)]. 7896 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = a(x,z,K(u,w)). [hyper(259,a,7772,a(flip),b,7894,a),flip(a)]. 7897 a(x,K(x,y) * z,K(u,w)) = a(x,z,K(u,w)). [hyper(7764,a,7896,a)]. 7899 K(x,y) * K(y,L(x,z,u)) = a(y,u,K(x,z)). [hyper(58,a,7565,a(flip),b,7897,a)]. 7900 K(x,L(y,z,u)) * K(y,x) = a(x,u,K(y,z)). [hyper(6910,a,7899,a)]. 7901 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(6161,a,7899,a)]. 7902 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,u,z)). [hyper(3496,a,7899,a)]. 7905 K(x,y) * (K(y,L(x,z,u)) * w) = w * a(y,u,K(x,z)). [para(7899(a,1),7817(a,2,2))]. 7906 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(7438,a,7901,a),flip(a)]. 7907 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(259,a,7407,a,b,7901,a),flip(a)]. 7908 a(x,T(y,z),K(u,w)) = a(w,x,K(u,y)). [hyper(259,a,7753,a(flip),b,7901,a),flip(a)]. 7909 a(x,y,K(z,u)) * w = w * a(y,z,K(x,u)). [para(7901(a,2),7729(a,2,2))]. 7910 x * a(x,y,K(z,u)) = L(x,z,K(u,y)). [para(7906(a,1),7471(a,1,2))]. 7911 a(x,y \ z,K(y,u)) = a(y,x,K(z,u)). [hyper(259,a,7766,a(flip),b,7907,a),flip(a)]. 7912 a(x,y,K(z,u \ y)) = a(z,x,K(u,y)). [hyper(259,a,5813,a(flip),b,7907,a),flip(a)]. 7913 a(x,y,K(z,y * u)) = a(y,z,K(x,u)). [hyper(58,a,7436,a(flip),b,7907,a),flip(a)]. 7914 a(x,y,K(z,L(u,y,w))) = a(z,x,K(y,u)). [para(4363(a,1),7907(a,2,3))]. 7916 a(x,y,K(z,L(u \ y,w,v5))) = a(z,x,K(u,L(y,w,v5))). [para(6201(a,1),7907(a,2,3))]. 7917 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = a(x,z,K(u,y)). [hyper(58,a,6687,a,b,7908,a)]. 7919 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(7473,a,7910,a),flip(a)]. 7920 L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. [para(7910(a,1),7473(a,1))]. 7924 a(x,y,K(z,L(u \ y,w,v5))) = a(z,L(x,w,v5),K(u,y)). [hyper(58,a,7456,a(flip),b,7912,a)]. 7925 a(x \ y,y,K(z,u)) = w / (w * a(z,u,K(x,y))). [para(7912(a,1),7732(a,1,2,2)),flip(a)]. 7926 a(x,y,K(z,u)) * (L(u,z,w) * v5) = L(L(u,z,w),z,K(y,x)) * v5. [para(7914(a,1),7478(a,1,1))]. 7927 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(7919(a,2),7920(a,1))]. 7928 T((x \ y) * K(x,L(y,z,u)),x) = (x \ y) * a(x,u,K(y,z)). [para(7900(a,1),7860(a,1,2)),flip(a)]. 7929 a(x,y,K(z,u)) * w != v5 * a(y,z,K(x,u)) | v5 = w. [para(7909(a,1),38(a,1)),flip(a)]. 7931 a(x \ y,y,K(z,u)) = a(y,u,K(x,z)). [hyper(259,a,7732,a(flip),b,7925,a),flip(a)]. 7932 ((x / (y \ (z * K(y,u)))) * (y \ z)) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [hyper(58,a,6718,a(flip),b,7905,a)]. 7933 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,(y \ z) \ x,K(z,y \ z)). [hyper(58,a,6695,a(flip),b,7905,a)]. 7934 K(x,y) * (L(y,z,u) \ (K(y,L(x,w,v5)) * v6)) = L(y,z,u) \ (v6 * a(y,v5,K(x,w))). [hyper(120,a,7905,a(flip),b,5249,a),flip(a)]. 7936 a(x,L(y,z,u),K(w,v5)) = a(x,y,K(w,L(v5,z,u))). [hyper(58,a,7916,a(flip),b,7924,a),flip(a)]. 7938 K(x,y \ L(y,z,u)) = a(x,u,K(y,z)). [hyper(58,a,6674,a(flip),b,7917,a)]. 7939 T((x \ y) * K(x,L(y,z,u)),x) = T(x,a(y,u,z)) \ y. [hyper(259,a,7737,a(flip),b,7928,a),flip(a)]. 7940 T((x \ y) * K(x,L(y,z,u)),y) = T(x,a(y,u,z)) \ y. [hyper(58,a,7863,a,b,7939,a)]. 7941 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T((x \ y) \ (T(x,a(y,u,z)) \ y),w). [para(7940(a,1),7809(a,1,2,1,2)),flip(a)]. 7942 ((x / ((y \ z) * K(y,u))) * (y \ z)) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(4483(a,1),7932(a,1,1,1,2))]. 7943 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(1525(a,1),7933(a,2,2,3))]. 7944 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,y,K(z,(y \ z) \ x)). [para(7906(a,2),7943(a,2,2))]. 7945 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,y,K(z,y * x)). [para(6535(a,1),7944(a,2,2,3))]. 7946 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(y,z,K(u,x)). [para(7913(a,1),7945(a,2,2))]. 7947 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = L(x,z,K(y,u)). [hyper(259,a,7470,a(flip),b,7946,a),flip(a)]. 7948 x * a(y,(z \ u) \ x,K(z,u)) = L(x,u,K(z,y)). [hyper(58,a,7943,a(flip),b,7947,a)]. 7949 ((x / (y \ z)) * ((y \ z) * K(u,y))) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(6209(a,1),7942(a,1,1))]. 7950 K(x,y) * ((K(y,x) * (z / (y \ u))) * (y \ u)) = z * a(x,(y \ u) \ z,K(y,u)). [hyper(6554,a,7949,a)]. 7951 K(x,y) * (L(y,z,u) \ (K(y,L(x,w,v5)) * v6)) = (L(y,z,u) \ v6) * a(x,v5,K(w,y)). [hyper(259,a,7423,a(flip),b,7934,a),flip(a)]. 7952 L(x,y,z) * ((L(x,y,z) \ u) * a(w,v5 \ u,K(v5,x))) = ((u / (v5 * K(w,x))) * v5) * K(w,x). [para(7951(a,1),6722(a,1,2))]. 7953 ((x / (y * K(z,u))) * y) * K(z,u) = x * a(z,y \ x,K(y,u)). [hyper(6692,a,7952,a),flip(a)]. 7954 ((x / y) * (y * K(z,u))) * K(u,z) = x * a(u,y \ x,K(y,z)). [para(6209(a,1),7953(a,1,1))]. 7955 K(x,y) * ((K(y,x) * (z / u)) * u) = z * a(y,u \ z,K(u,x)). [hyper(6554,a,7954,a)]. 7956 K(x,y) * ((K(y,x) * (z / u)) * u) = z * a(u,y,K(z,x)). [para(7911(a,1),7955(a,2,2))]. 7957 K(x,y) * ((K(y,x) * (z / u)) * u) != w | L(z,y,K(x,u)) = w. [para(7956(a,2),7469(a,1))]. 7958 x * a(y,(z \ u) \ x,K(z,u)) = L(x,z,K(y,z \ u)). [hyper(7957,a,7950,a),flip(a)]. 7960 L(x,y,K(z,y \ u)) = L(x,u,K(y,z)). [hyper(58,a,7948,a(flip),b,7958,a),flip(a)]. 7961 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(7920,a,7960,a)]. 7962 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(4(a,1),7961(a,1,2)),flip(a)]. 7963 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(5128,a,7962,a),flip(a)]. 7964 L(L(x,y,z),z,K(u,y)) = L(x,y,T(z,u)). [hyper(7927,a,7963,a)]. 7965 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [hyper(58,a,25,a,b,7963,a)]. 7966 a(x,y,K(z,u)) * (L(u,z,y) * w) = L(u,z,T(y,x)) * w. [para(7963(a,1),7926(a,2,1))]. 7967 L(x,y,T(z,y \ 1)) != u | L(x,y,z) = u. [para(7964(a,1),395(a,1))]. 7968 L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(6582(a,1),7965(a,1,1)),flip(a)]. 7969 T((x * x) * y,x) / (y * x) != z | L(x,x,y) = z. [para(6567(a,2),7967(a,1))]. 7970 T(x * L(y \ L(y,z,u),y,x),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(7968(a,1),6107(a,1,1,2))]. 7971 L(x,y,z) * a(z,y,K(u,x)) = L(x,y,T(z,u)). [hyper(7929,a,7966,a),flip(a)]. 7972 L(x,y,T(z,u)) != w | a(x,y,K(z,u)) * L(x,y,z) = w. [para(7971(a,1),7734(a,1))]. 7973 T((x / y) * L(y,z,u),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(2695(a,1),7970(a,1,1))]. 7975 T((x / y) * L(y,z,u),L(y,z,u) \ y) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [hyper(3079,a,7973,a)]. 7976 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(K(a(y,u,z),T(x,y)),w). [para(3787(a,1),7941(a,2,2,1))]. 7977 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(a(y,u,K(z,T(x,y))),w). [para(6677(a,2),7976(a,2,2,1))]. 7978 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(a(y,u,K(z,x)),w). [para(7753(a,1),7977(a,2,2,1))]. 7979 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * a(y,u,K(z,x)). [para(7715(a,1),7978(a,2,2))]. 7981 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = T(y,a(x,u,z)) / x. [hyper(259,a,7739,a(flip),b,7979,a),flip(a)]. 7983 (K(x,y) * T(K(x,y) \ K(x,L(y,z,u)),w)) * (x \ y) = T(y,a(x,u,z)) / x. [para(6146(a,1),7981(a,1,1,2,1,2))]. 7984 (K(x,y) * T(K(y,x) * K(x,L(y,z,u)),w)) * (x \ y) = T(y,a(x,u,z)) / x. [para(3482(a,1),7983(a,1,1,2,1))]. 7985 (K(x,y) * T(a(x,z,K(y,u)),w)) * (x \ y) = T(y,a(x,z,u)) / x. [para(7899(a,1),7984(a,1,1,2,1))]. 7986 (K(x,y) * a(x,z,K(y,u))) * (x \ y) = T(y,a(x,z,u)) / x. [para(102(a,1),7985(a,1,1,2))]. 7987 K(x,L(y,z,u)) * (x \ y) = T(y,a(x,u,z)) / x. [para(7902(a,1),7986(a,1,1))]. 7988 (x \ y) * K(x,L(y,z,u)) = T(y,a(x,u,z)) / x. [hyper(58,a,7782,a(flip),b,7987,a)]. 7989 T(x \ y,L(x,z,u) \ 1) = T(y,a(x,u,z)) / x. [hyper(6204,a,7988,a)]. 7990 (T(x,a(y,z,u)) / y) * L(y,u,z) = L(y,u,z) * (y \ x). [hyper(124,a,7989,a(flip),b,1931,a(flip))]. 7991 (L(x,y,K(z,u)) / u) * L(u,z,y) = L(u,z,y) * (u \ x). [para(7463(a,2),7990(a,1,1,1))]. 7992 K(x,K(y,z)) * ((u * w) \ ((K(x,K(y,z)) * u) * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7698(a,1),7778(a,1,2,2,2,1))]. 7993 K(x,K(y,z)) * ((u * w) \ (u * ((w * v5) * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7746(a,1),7992(a,1,2,2))]. 7994 K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7690(a,1),7993(a,1,2,2,2))]. 7995 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L((x * K(u,K(w,v5))) * K(u,K(w,v5)),y,z). [hyper(7837,a,7994,a),flip(a)]. 7996 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x * (K(u,K(w,v5)) * K(u,K(w,v5))),y,z). [para(4874(a,1),7995(a,2,1))]. 7997 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x * 1,y,z). [para(3998(a,1),7996(a,2,1,2))]. 7998 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [para(3(a,1),7997(a,2,1))]. 8000 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(7698(a,1),7998(a,1,2))]. 8001 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(4172(a,1),8000(a,1,3))]. 8002 (x / T(L(y,z,K(u,T(w,v5))),v6)) \ (x * K(v6,L(y,z,K(u,T(w,v5))))) = L(y,z,K(u,w)). [hyper(58,a,3580,a,b,8001,a)]. 8003 (x / T(L(y,z,K(u,w)),v5)) \ (x * K(v5,L(y,z,K(u,T(w,v6))))) = L(y,z,K(u,w)). [para(8001(a,1),8002(a,1,1,2,1))]. 8004 (x / L(T(y,z),u,K(w,v5))) \ (x * K(z,L(y,u,K(w,T(v5,v6))))) = L(y,u,K(w,v5)). [para(20(a,2),8003(a,1,1,2))]. 8006 (x / L(T(y,z),u,K(w,v5))) \ (x * K(z,y)) = L(y,u,K(w,v5)). [para(7794(a,1),8004(a,1,2,2))]. 8008 L(T(x \ 1,L(y,z,u) \ y),T(x,L(y,z,u) \ y),w) * K(v5,x) = L(T(T(x,L(y,z,u) \ y) \ 1,v5),T(x,L(y,z,u) \ y),w). [para(2198(a,2),7788(a,1,1,1))]. 8009 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = L(T(x \ 1,L(y,z,u) \ y),x,v5) * K(w,x). [para(5136(a,1),8008(a,1,1)),flip(a)]. 8010 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = K(L(y,z,u) \ y,x) * L(T(x \ 1,w),x,v5). [hyper(259,a,5276,a(flip),b,8009,a),flip(a)]. 8012 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5). [para(2985(a,1),8010(a,2,1))]. 8013 L(T(T(x \ 1,L(y,z,u) \ y),w),T(x,L(y,z,u) \ y),v5) = K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5). [para(2198(a,2),8012(a,1,1,1))]. 8014 K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5) = L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5). [hyper(58,a,5139,a(flip),b,8013,a),flip(a)]. 8016 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = a(x,u,K(y,z)) * L(T(x \ 1,w),x,v5). [para(7938(a,1),8014(a,1,1)),flip(a)]. 8017 T(a(x,y,K(z,u)) * L(x \ 1,x,w),v5) = L(T(T(x \ 1,L(z,u,y) \ z),v5),x,w). [hyper(259,a,7810,a,b,8016,a)]. 8018 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = T(L(L(x \ 1,u,K(z,y)),x,v5),w). [para(7856(a,1),8017(a,1,1)),flip(a)]. 8019 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = L(T(L(x \ 1,u,K(z,y)),w),x,v5). [hyper(259,a,20,a,b,8018,a),flip(a)]. 8020 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = L(L(T(x \ 1,w),u,K(z,y)),x,v5). [para(20(a,2),8019(a,2,1))]. 8021 T(x,L(y,z,u) \ y) = (w * L(L(T(x \ 1,v5),u,K(z,y)),x,w)) \ (w * K(v5,x)). [para(8020(a,1),7818(a,1,1,2)),flip(a)]. 8022 T(x,L(y,z,u) \ y) = (w / L(T(x,v5),u,K(z,y))) \ (w * K(v5,x)). [para(7499(a,1),8021(a,2,1))]. 8023 T(x,L(y,z,u) \ y) = L(x,u,K(z,y)). [hyper(259,a,8006,a(flip),b,8022,a),flip(a)]. 8024 T((x / y) * L(y,z,u),L(y,z,u) \ y) = (L(x,u,K(z,y)) / y) * L(y,z,u). [para(8023(a,1),7975(a,2,1,1))]. 8025 T((x / y) * L(y,z,u),L(y,z,u) \ y) = L(y,z,u) * (y \ x). [hyper(259,a,7991,a(flip),b,8024,a),flip(a)]. 8026 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). [hyper(58,a,6392,a(flip),b,8025,a)]. 8027 x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. [hyper(184,a,8026,a(flip),b,316,a(flip))]. 8028 (L(x,y,z) * (x \ u)) / u = u \ ((u / x) * L(x,y,z)). [hyper(123,a,8026,a(flip),b,709,a(flip))]. 8029 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T((y * (x \ 1)) * L(L(x,x \ 1,y),z,u),y). [para(453(a,1),8026(a,1,1,1)),flip(a)]. 8030 x / (L(y,z,u) * (y \ x)) = x \ ((x / L(y,z,u)) * y). [hyper(259,a,654,a(flip),b,8027,a),flip(a)]. 8031 x / (y * (L(y,z,u) \ x)) = x \ ((x / y) * L(y,z,u)). [hyper(58,a,656,a(flip),b,8028,a)]. 8032 L(x \ T((y * x) / L(y,z,u),y),x,y) = (y * x) / (L(y,z,u) * (y \ (y * x))). [hyper(259,a,549,a,b,8030,a)]. 8033 1 \ ((1 / L(x,y,z)) * x) = 1 / (x \ L(x,y,z)). [para(2146(a,1),8030(a,1,2)),flip(a)]. 8034 (x * y) \ (((x * y) / L(y,z,u)) * y) = (x * y) / T(L(y,z,u) * x,y). [para(2309(a,1),8030(a,1,2)),flip(a)]. 8035 L(x \ ((x / L(y,z,u)) * y),x,y) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(8030(a,1),2580(a,1,1,1))]. 8036 x / (y * (L(y,z,z \ x) \ x)) = x \ (((x / z) * (z * y)) / y). [para(4762(a,1),8031(a,2,2))]. 8037 x / (((x / (y * z)) * y) * z) = x \ (((x / y) * (y * z)) / z). [para(6412(a,1),8036(a,1,2))]. 8038 x / (((x / (y * z)) * y) * z) = a(z,y,y \ x). [hyper(259,a,6502,a(flip),b,8037,a),flip(a)]. 8039 x / (y * (z * ((y * z) \ x))) = a(y,z,z \ x). [para(6426(a,1),8038(a,1,2))]. 8040 a(x,y,(x * y) \ z) = a(x,y,y \ z). [hyper(7529,a,8039,a)]. 8042 a(x,y,y \ (z * (x * y))) = a(x,y,T(z,x * y)). [para(17(a,2),8040(a,1,3)),flip(a)]. 8043 (x * y) / T(L(y,z,u) * x,y) = (x * L(y,z,u)) \ (x * y). [hyper(1217,a,8034,a),flip(a)]. 8044 K(x,T(L(x,y,z) * u,u * x)) * ((u * x) / (L(x,y,z) * u)) = (u * L(x,y,z)) \ (u * x). [hyper(4269,a,8043,a)]. 8045 L(x \ T((y * x) / L(y,z,u),y),x,y) = (y * x) / (L(y,z,u) * x). [para(4(a,1),8032(a,2,2,2))]. 8046 L(x \ T(y * (x / L(y,z,u)),y),x,y) = (y * x) / (L(y,z,u) * x). [para(1053(a,1),8045(a,1,1,2,1))]. 8047 L(x \ ((x / L(y,z,u)) * y),x,y) = (y * x) / (L(y,z,u) * x). [para(708(a,1),8046(a,1,1,2))]. 8048 K(x,T(L(x,y,z) * u,u)) * ((u * x) / (L(x,y,z) * u)) = (u * L(x,y,z)) \ (u * x). [para(4745(a,1),8044(a,1,1))]. 8049 K(x,y * L(x,z,u)) * ((y * x) / (L(x,z,u) * y)) = (y * L(x,z,u)) \ (y * x). [para(4067(a,1),8048(a,1,1))]. 8050 K(x,y) * ((y * x) / (L(x,z,u) * y)) = (y * L(x,z,u)) \ (y * x). [para(2466(a,1),8049(a,1,1))]. 8051 (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). [hyper(6383,a,8050,a)]. 8053 ((x * y) * L(z,y,x)) \ ((x * y) * z) = a(x,y,T(z,x * y)). [hyper(7868,a,8051,a),flip(a)]. 8054 L(x \ ((x / L(y,z,u)) * y),x,y) = (x * L(y,z,u)) \ (x * y). [hyper(58,a,8047,a,b,8051,a)]. 8055 (x * y) / L(T(L(x,z,u),y),y,x) = ((y * L(x,z,u)) \ (y * x)) * y. [para(8051(a,1),1263(a,2,1))]. 8056 (x * (y * z)) \ ((x * y) * z) = a(x,y,T(z,x * y)). [para(89(a,1),8053(a,1,1))]. 8057 a(x,y,T(z,x * y)) = a(x,y,z). [hyper(1044,a,8056,a),flip(a)]. 8058 a(x,y,T(z,x * y)) != u | a(x,y,z) = u. [para(8056(a,1),1044(a,1))]. 8059 a(x,y,y \ (z * (x * y))) = a(x,y,z). [hyper(58,a,8042,a,b,8057,a)]. 8060 T(a(x \ y,x,T(z,(x \ y) * x)),y) = a(x \ y,x,z). [hyper(58,a,7811,a,b,8057,a)]. 8061 a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)). [hyper(58,a,2546,a,b,8057,a),flip(a)]. 8062 a(x,T(y,x),T(z,y * x)) = a(x,T(y,x),z). [para(103(a,1),8057(a,1,3,2))]. 8063 a(x,y,(x * y) \ ((x * y) / z)) = a(x,y,(x * y) \ (z \ (x * y))). [para(793(a,1),8057(a,1,3)),flip(a)]. 8064 a(T(x,y),y,T(z,y * x)) = a(T(x,y),y,z). [para(4218(a,1),8057(a,1,3))]. 8066 (L(x,y,z) * (z * y)) \ (x * (z * y)) != u | a(z,y,x) = u. [para(2546(a,2),8058(a,1))]. 8068 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),x). [hyper(58,a,4780,a,b,8062,a)]. 8069 (L(x,y,z) * T(z * y,y)) \ (x * T(z * y,y)) = a(T(z,y),y,x). [hyper(58,a,5335,a,b,8064,a)]. 8070 T(a(x \ y,x,T(z,T(y,x))),y) = a(x \ y,x,z). [para(709(a,2),8060(a,1,1,3,2))]. 8071 T(a(x \ y,x,T(z,y)),y) = a(x \ y,x,z). [para(7890(a,1),8070(a,1,1))]. 8072 a(x \ y,x,T(z,y)) = a(x \ y,x,z). [hyper(58,a,7811,a(flip),b,8071,a)]. 8074 a(x \ (x * y),x,z) = a(y,x,T(z,x * y)). [para(4(a,1),8072(a,1,1)),flip(a)]. 8075 a(x,y,T(z,y * x)) = a(x,y,z). [para(4(a,1),8074(a,1,1)),flip(a)]. 8076 ((x * L(y,z,u)) \ (x * y)) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(8054(a,1),8035(a,1,1))]. 8077 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ ((x * y) / z)),(x * y) / z) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [para(8063(a,1),2855(a,1,1,1))]. 8078 ((x * L(y,z,u)) \ (x * y)) * x = (y * x) / L(T(y,x),z,u). [para(1102(a,1),8055(a,1,2)),flip(a)]. 8079 ((x * L(y,z,u)) \ (x * y)) * x = y * (x / L(T(y,x),z,u)). [hyper(259,a,1099,a(flip),b,8078,a),flip(a)]. 8081 ((x * L(y,z,u)) \ (x * y)) * x = y * (L(y,z,u) \ x). [para(366(a,1),8079(a,2,2))]. 8082 x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x). [hyper(58,a,8076,a(flip),b,8081,a)]. 8083 x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). [para(8061(a,2),8082(a,1,2)),flip(a)]. 8084 a(x,y,z) = ((x * (y * z)) / z) \ (x * y). [hyper(6565,a,8083,a(flip)),flip(a)]. 8085 (((x \ 1) * ((y \ 1) * (z \ 1))) / (z \ 1)) \ ((x \ 1) * (y \ 1)) = (((z * y) * x) \ (z * (y * x))) \ 1. [hyper(58,a,7531,a,b,8084,a),flip(a)]. 8086 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). [para(5(a,1),8084(a,2,1,1,2)),flip(a)]. 8087 (((x * y) * (z \ (y * x))) / x) \ (((x * y) / z) * y) = a((x * y) / z,y,x). [para(6397(a,1),8084(a,2,1,1)),flip(a)]. 8088 a(x \ (y * z),z,z \ x) = a(y,z,z \ x). [hyper(58,a,6768,a,b,8086,a)]. 8089 a(x,y,y \ x) = a(y,y,x). [hyper(58,a,6771,a(flip),b,8086,a),flip(a)]. 8090 a(x,y,y \ 1) = a(y,y,x). [hyper(4809,a,8089,a)]. 8091 (x * y) \ L(x * y,y,x) = a(y,y,x). [hyper(58,a,4788,a,b,8089,a)]. 8092 L(x,x \ 1,y \ 1) = x * a(x,x,y). [hyper(125,a,8090,a(flip),b,4804,a),flip(a)]. 8093 L(x * y,z,a(y,y,x)) = x * y. [para(8091(a,1),6462(a,1,3))]. 8094 T((x * x) * y,x) / (y * x) = x * a(x,x,y). [para(8093(a,1),7840(a,1,2))]. 8095 x * a(x,x,y) = L(x,x,y). [hyper(7969,a,8094,a),flip(a)]. 8097 L(x,x \ 1,y \ 1) = L(x,x,y). [hyper(58,a,8092,a,b,8095,a)]. 8098 L(x \ 1,x,y) = L(x,x,y) \ 1. [para(8097(a,1),2514(a,1,1)),flip(a)]. 8099 L(x \ 1,x,T(y,z)) = L(x,x,y) \ 1. [hyper(58,a,6372,a,b,8098,a)]. 8100 L(x,x,y) \ 1 != z | L(x \ 1,x,y) = z. [para(8099(a,1),5294(a,1))]. 8101 L(x \ 1,x,T(y,z)) != u | L(x \ 1,x,y) = u. [para(8099(a,2),8100(a,1))]. 8103 L(x \ 1,x,y / z) != u | L(x \ 1,x,z \ y) = u. [para(1932(a,1),8101(a,1,3))]. 8104 (((x * y) * (z \ (y * x))) / x) \ (((x * y) / z) * y) = a(z \ (x * y),y,x). [hyper(259,a,7881,a(flip),b,8087,a),flip(a)]. 8105 ((x * y) / (y \ z)) \ (((x * y) / z) * y) = a(z \ (x * y),y,x). [para(6551(a,1),8104(a,1,1))]. 8106 a(x \ (y * z),z,z \ x) = a(x \ (y * z),z,y). [hyper(58,a,6767,a(flip),b,8105,a)]. 8107 a(x \ (y * z),z,y) = a(y,z,z \ x). [hyper(58,a,8088,a(flip),b,8106,a),flip(a)]. 8108 a((x * y) \ (z \ (x * y)),y,x) = a(x,y,y \ (z * (x * y))). [para(288(a,1),8107(a,1,1))]. 8109 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * ((x \ 1) * L(x,z,u)),y). [para(482(a,1),8029(a,2,1))]. 8110 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * (x \ L(x,z,u)),y). [para(764(a,1),8109(a,2,1,2))]. 8111 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = (x \ L(x,z,u)) * y. [hyper(259,a,708,a(flip),b,8110,a),flip(a)]. 8112 T(x * (y \ L(T(y,x),z,u)),y) = (y \ L(y,z,u)) * x. [hyper(5622,a,8111,a)]. 8113 T(x,y) \ L(T(x,y),z,u) = T(x \ L(x,z,u),y). [hyper(216,a,8112,a(flip),b,6879,a(flip)),flip(a)]. 8116 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = 1 / T(x \ L(x,z,u),y). [para(8113(a,1),8033(a,2,2))]. 8117 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T(x \ L(x,z,u),y) \ 1. [hyper(259,a,318,a(flip),b,8116,a),flip(a)]. 8118 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T((x \ L(x,z,u)) \ 1,y). [hyper(259,a,2198,a,b,8117,a),flip(a)]. 8119 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T(L(x,z,u) \ x,y). [para(2317(a,1),8118(a,2,1))]. 8120 1 \ (L(T(x,y),z,u) \ T(x,y)) = T(L(x,z,u) \ x,y). [para(924(a,1),8119(a,1,2))]. 8121 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [hyper(157,a,8120,a)]. 8122 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). [para(8121(a,1),5257(a,1,1))]. 8123 a(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),K(u,w)) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [hyper(7972,a,8122,a)]. 8124 (((x \ 1) * ((y * z) \ 1)) / (y \ 1)) \ ((x \ 1) * (z \ 1)) = (((y * z) * x) \ (y * (z * x))) \ 1. [para(466(a,1),8085(a,1,1,1,2))]. 8125 ((((x * y) * z) \ 1) / (x \ 1)) \ ((z \ 1) * (y \ 1)) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(466(a,1),8124(a,1,1,1))]. 8126 ((x \ ((x * y) * z)) \ 1) \ ((z \ 1) * (y \ 1)) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(513(a,1),8125(a,1,1))]. 8127 ((x \ ((x * y) * z)) \ 1) \ ((y * z) \ 1) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(466(a,1),8126(a,1,2))]. 8128 ((x * y) / (z \ ((z * x) * y))) \ 1 = (((z * x) * y) \ (z * (x * y))) \ 1. [hyper(1119,a,8127,a)]. 8129 ((x \ ((x * y) * z)) \ (y * z)) \ 1 = (((x * y) * z) \ (x * (y * z))) \ 1. [para(7807(a,1),8128(a,1,1))]. 8130 (x \ ((x * y) * z)) \ (y * z) = ((x * y) * z) \ (x * (y * z)). [hyper(43,a,8129,a)]. 8132 a(T(L(x,y,z) \ x,u),L(x,y,z),K(u,w)) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(7751(a,1),8123(a,1,1,1))]. 8134 a(T(L(x,y,z) \ x,u),x,K(u,L(w,y,z))) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(7936(a,1),8132(a,1,1))]. 8135 a(L(x,y,z) \ x,x,K(u,L(w,y,z))) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(7772(a,1),8134(a,1,1))]. 8137 a(x,L(y,z,u),K(L(x,z,u),w)) * L(T(L(x,z,u) \ x,T(w,y)),L(x,z,u),w) = (L(x,z,u) * T(w,y)) \ (x * T(w,y)). [para(7931(a,1),8135(a,1,1))]. 8138 a(x,L(y,z,u),K(x,L(w,z,u))) * L(T(L(x,z,u) \ x,T(w,y)),L(x,z,u),w) = (L(x,z,u) * T(w,y)) \ (x * T(w,y)). [para(6178(a,1),8137(a,1,1,3))]. 8139 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u). [para(4487(a,1),8138(a,1,1)),flip(a)]. 8141 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * L(T(L(x,y,z) \ x,u),L(x,y,z),u). [para(7751(a,1),8139(a,2,2,1))]. 8143 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * ((L(x,y,z) * u) \ (x * u)). [para(8122(a,1),8141(a,2,2))]. 8144 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(T(z,y),y,x). [hyper(118,a,8143,a(flip),b,8069,a(flip))]. 8146 a(T(x,y),y,z) = a(x,y,z). [hyper(8066,a,8144,a),flip(a)]. 8147 a(T(x,T(y,x)),T(y,x),T(z,y * x)) = a(x,T(y,x),z). [hyper(259,a,8062,a(flip),b,8146,a),flip(a)]. 8148 a(T(x,y),T(y,x),T(z,y * x)) = a(x,T(y,x),z). [hyper(7882,a,8147,a)]. 8149 a(x,y,T(z,y * x)) = a(x,T(y,x),z). [hyper(4355,a,8148,a)]. 8150 a(x,T(y,x),z) = a(x,y,z). [hyper(58,a,8075,a(flip),b,8149,a),flip(a)]. 8151 a(x,y,z) = (L(z,y,x) * (y * x)) \ (z * (y * x)). [hyper(58,a,8068,a,b,8150,a),flip(a)]. 8152 a(x,y,z) = ((z * y) * x) \ (z * (y * x)). [para(6436(a,1),8151(a,2,1))]. 8153 a(x,y,z) = (z \ ((z * y) * x)) \ (y * x). [hyper(259,a,8130,a,b,8152,a),flip(a)]. 8154 (x \ ((x * y) * (y \ z))) \ z = a(y \ z,y,x). [para(5(a,1),8153(a,2,2)),flip(a)]. 8155 (x \ y) \ (z * ((x * z) \ y)) = a(z \ y,z,x). [hyper(58,a,7865,a(flip),b,8154,a)]. 8156 x \ (y * (z * ((y * z) \ x))) = a(z \ x,z,y). [hyper(58,a,6755,a(flip),b,8154,a)]. 8157 a(x \ ((y * x) * z),x,y) = (y \ ((y * x) * z)) \ (x * z). [para(4(a,1),8155(a,1,2,2)),flip(a)]. 8158 a(x \ ((y * x) * z),x,y) = a(z,x,y). [hyper(259,a,8153,a,b,8157,a),flip(a)]. 8159 a((x * y) \ z,y,x) = a(y \ z,y,x). [para(5(a,1),8158(a,1,1,2)),flip(a)]. 8160 a(x \ (y \ (z * x)),x,z) = a(z,x,x \ (y * (z * x))). [hyper(58,a,8108,a(flip),b,8159,a),flip(a)]. 8161 a(x \ (y \ (z * x)),x,z) = a(z,x,y). [hyper(259,a,8059,a(flip),b,8160,a),flip(a)]. 8162 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ (z \ (x * y))),(x * y) / z) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [para(8063(a,1),8077(a,1,2))]. 8163 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ (z \ (x * y))),z \ (x * y)) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [hyper(8103,a,8162,a)]. 8164 ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))) = (z \ (x * y)) \ (x * (y * ((x * y) \ (z \ (x * y))))). [hyper(58,a,2855,a(flip),b,8163,a),flip(a)]. 8165 (x \ (y * z)) \ (y * (z * ((y * z) \ (x \ (y * z))))) != u | x * L(x \ 1,z,y) = u. [para(8164(a,1),5114(a,1))]. 8166 a(x \ (y \ (z * x)),x,z) != u | y * L(y \ 1,x,z) = u. [para(8156(a,1),8165(a,1))]. 8167 a(x,y,z) = z * L(z \ 1,y,x). [hyper(8166,a,8161,a),flip(a)]. 8168 L(x * L(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)). [hyper(259,a,2910,a(flip),b,8167,a)]. 8169 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [para(8167(a,2),8168(a,1,1)),flip(a)]. 8170 L(a(x,y,z),u,z) = a(x,y,z). [para(674(a,1),8169(a,1,3)),flip(a)]. 8171 (x * y) * a(z,u,x) = x * (y * a(z,u,x)). [hyper(125,a,8170,a(flip),b,2801,a(flip))]. 8172 x * (y * a(z \ (u \ (x * z)),z,x)) = (x * y) * a(x,z,u). [para(8161(a,1),8171(a,1,2)),flip(a)]. 8173 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(8161(a,1),8172(a,1,2,2)),flip(a)]. 8174 L(x,y,a(x,z,u)) = x. [hyper(6465,a,8173,a)]. 8175 a(a(x,y,z),u,x) = 1. [hyper(48,a,8174,a)]. 8176 $F # answer("aa1{x1/x5}"). [resolve(8175,a,59,a)]. ============================== end of proof ==========================