============================== prooftrans ============================ Prover9 (64) version 2021-dec-16 (stable), March 2022. Process 9648 was started by veroff on b146-07, Sat Jul 16 06:58:32 2022 The command was "prover9 -f KK_to_aK1_a.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 316.89 (+ 15.28) seconds.: "aK1". % Length of proof: 4843 (0 new hints) % Level of proof: 446 % Maximum clause weight: 50.000 % Given clauses in run: 5255 % Given clauses in proof: 4831 (0 new hints) 1 a(K(x,y),z,u) = 1 # label("aK1") # 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 K(K(x,y),z) = 1 # label("KK"). [assumption]. 28 a(K(x,y),z,u) = a(K(x,z),y,u) # label("aK1_1324"). [assumption]. 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]. 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]. 55 x != y | z / x = z / y # label("Aux 4"). [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(K(c1,c2),c3,c4) != 1 # label("aK1") # answer("aK1"). [deny(1)]. 60 1 \ x = x. [para(2(a,1),4(a,1,2))]. 61 x \ (1 * (x * y)) = y. [para(2(a,2),4(a,1,2))]. 62 x \ x = 1. [para(3(a,1),4(a,1,2))]. 63 x \ (x * (y \ (y * z))) = z. [para(4(a,2),4(a,1))]. 64 (x * (x \ 1)) * y = y. [para(5(a,2),2(a,1,1))]. 65 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. 66 x \ (y * (y \ (x * z))) = z. [para(5(a,2),4(a,1,2))]. 67 x * (y \ (y * (x \ z))) = z. [para(4(a,2),5(a,1,2))]. 68 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 69 x / x = 1. [para(2(a,1),6(a,1,1))]. 70 ((x * 1) * y) / y = x. [para(6(a,2),3(a,1))]. 71 x / 1 = x. [para(3(a,1),6(a,1,1))]. 72 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. 73 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 74 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 75 x * ((1 / y) * y) = x. [para(7(a,2),3(a,1,2))]. 76 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 77 (x \ (x * (y / z))) * z = y. [para(4(a,2),7(a,1,1))]. 78 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 79 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(5(a,1),9(a,2,2,1)),flip(a)]. 80 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(7(a,1),9(a,2,1,2)),flip(a)]. 81 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 82 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 83 ((x \ y) * x) \ y = K(x,x \ y). [para(5(a,1),11(a,2,2)),flip(a)]. 84 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. 85 x \ (1 * (x * y)) = L(y,x,1). [para(2(a,1),13(a,2,1)),flip(a)]. 86 (x * 1) \ (x * y) = L(y,1,x). [para(2(a,1),13(a,2,2,2)),flip(a)]. 87 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 88 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 89 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 90 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(7(a,1),13(a,2,2,2))]. 91 ((x * 1) * y) / y = R(x,1,y). [para(2(a,1),15(a,2,2)),flip(a)]. 92 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. 93 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(5(a,1),15(a,2,1))]. 94 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 95 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 96 T(x,x) = x. [para(17(a,2),4(a,1))]. 97 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 98 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 99 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 100 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)]. 102 1 * x != y | z != y | x = z. [para(2(a,1),29(b,1))]. 103 x != y | x * z != y | 1 = z. [para(3(a,1),29(a,1))]. 104 x != y | z * u != y | z \ x = u. [para(5(a,1),29(a,1))]. 105 x != y | z * x != y | 1 = z. [para(2(a,1),30(a,1))]. 106 x != y | z * u != y | x / u = z. [para(7(a,1),30(a,1))]. 107 1 * x != y | x = y. [para(2(a,1),38(a,2))]. 108 x * y != z | x \ z = y. [para(5(a,1),38(a,1)),flip(a)]. 110 x * y != y | 1 = x. [para(2(a,1),39(a,1)),flip(a)]. 112 x * 1 != y | y = x. [para(3(a,1),39(a,1)),flip(a)]. 113 x * 1 != y | x = y. [para(3(a,1),39(a,2))]. 114 x * (y \ z) != z | y = x. [para(5(a,1),39(a,1)),flip(a)]. 115 x * y != z | z / y = x. [para(7(a,1),39(a,1)),flip(a)]. 116 x / y != z | z * y = x. [para(6(a,1),41(a,1)),flip(a)]. 117 x \ y != z | x * z = y. [para(4(a,1),42(a,1)),flip(a)]. 120 x \ (y * z) != z | y = x. [para(4(a,1),43(a,1)),flip(a)]. 122 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(13(a,2),43(a,1)),flip(a)]. 123 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),44(a,1))]. 124 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(24(a,2),45(a,1))]. 125 R(R(x,y,z),u,w) != R(v5,y,z) | R(x,u,w) = v5. [para(26(a,1),46(a,1))]. 126 T(K(x,y),z) = K(x,y). [hyper(51,a,27,a)]. 127 ((x / y) * y) * z = x * z. [hyper(52,a,7,a)]. 128 x * (y * (y \ z)) = x * z. [hyper(53,a,5,a)]. 129 (x * (x \ y)) / z = y / z. [hyper(54,a,5,a)]. 130 ((x * y) / y) \ z = x \ z. [hyper(56,a,6,a)]. 131 (x * y) / y = (x / z) * z. [hyper(58,a,7,a,b,6,a(flip)),flip(a)]. 132 (x / y) * y = x * 1. [hyper(58,a,7,a,b,3,a(flip))]. 133 (x / y) * y = 1 * x. [hyper(58,a,7,a,b,2,a(flip))]. 134 (x * y) / y = x * 1. [hyper(58,a,6,a,b,3,a(flip))]. 135 x \ (x * y) = z * (z \ y). [hyper(58,a,5,a,b,4,a(flip)),flip(a)]. 136 x * (x \ y) = y * 1. [hyper(58,a,5,a,b,3,a(flip))]. 137 x \ (x * y) = 1 \ y. [hyper(58,a,60,a,b,4,a(flip)),flip(a)]. 138 ((1 / x) * x) \ y = y. [para(7(a,2),60(a,1,1))]. 139 1 \ x != y | y = x. [para(60(a,1),42(a,1)),flip(a)]. 140 1 \ x != y | x = y. [para(60(a,1),42(a,2))]. 141 K(x,x) = 1. [hyper(58,a,11,a,b,62,a)]. 142 (x \ x) * y = y. [para(62(a,2),2(a,1,1))]. 143 x * (y / y) = x. [para(69(a,2),3(a,1,2))]. 145 T(x,T(x,y)) = x. [hyper(35,a,18,a,b,96,a(flip))]. 147 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(31,a,15,a(flip),b,73,a),flip(a)]. 148 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(9(a,2),73(a,1,2))]. 149 (x * y) / T(x,y) = y. [para(17(a,2),73(a,1,2))]. 150 x / y != z | z \ x = y. [para(73(a,1),40(a,1)),flip(a)]. 151 x / (y / ((z \ x) \ y)) = z. [para(73(a,2),73(a,1,2))]. 152 x * ((y / (x \ z)) \ y) = z. [hyper(33,a,4,a,b,76,a(flip))]. 153 x \ y != z | y / z = x. [para(76(a,1),43(a,1)),flip(a)]. 154 L(x,y,z) != (u \ u) * L(w,y,z) | w = x. [para(142(a,2),45(a,1)),flip(a)]. 155 R(x,y,z) != (u \ u) * R(w,y,z) | w = x. [para(142(a,2),46(a,1)),flip(a)]. 159 x * ((1 / y) * y) != z | x = z. [para(7(a,2),113(a,1,2))]. 161 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(64(a,1),15(a,2,1))]. 162 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(65(a,1),9(a,2,1)),flip(a)]. 163 L(x \ 1,x,y) = (y * x) \ y. [para(65(a,1),13(a,2,2))]. 164 R(1 / x,x,y) = y / (x * y). [para(74(a,1),15(a,2,1))]. 165 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(75(a,1),9(a,2,1)),flip(a)]. 166 x * T(y / x,x) = y. [hyper(58,a,97,a,b,7,a)]. 167 (x \ y) * T(x,x \ y) = y. [hyper(58,a,97,a,b,5,a)]. 168 T((x * y) / x,x) = y. [hyper(29,a,7,a(flip),b,97,a),flip(a)]. 169 (x * T(y,x)) / x = y. [hyper(30,a,7,a,b,97,a(flip))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(5(a,2),97(a,1,2))]. 171 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(97(a,1),9(a,2,2,1)),flip(a)]. 172 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(97(a,1),9(a,2,2)),flip(a)]. 173 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(97(a,1),13(a,2,1)),flip(a)]. 174 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(97(a,1),13(a,2,2,2)),flip(a)]. 175 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),97(a,1,2))]. 176 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),97(a,1,2))]. 177 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),97(a,1,2))]. 178 x * y != z * x | T(z,x) = y. [para(97(a,1),38(a,1)),flip(a)]. 179 x * T(y,x) != z * x | y = z. [para(97(a,2),39(a,1))]. 181 T(T(x / y,z),y) = T(y \ x,z). [para(99(a,1),18(a,1,1)),flip(a)]. 182 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(99(a,1),20(a,1,1)),flip(a)]. 183 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(99(a,1),22(a,1,1)),flip(a)]. 184 x \ (K(y,z) * x) = K(y,z). [hyper(58,a,17,a(flip),b,126,a)]. 185 T(K(x,y),z) = T(K(x,y),u). [hyper(58,a,126,a,b,126,a(flip))]. 186 T(K(x,y),z) * u = K(x,y) * u. [hyper(52,a,126,a)]. 187 T(x,K(y,z)) = x. [hyper(49,a,126,a)]. 188 T((x * y) \ (y * x),z) = K(y,x). [para(11(a,1),126(a,1,1))]. 189 T(L(K(x,y),z,u),w) = L(K(x,y),z,u). [para(126(a,1),20(a,1,1)),flip(a)]. 190 T(x,y) != K(z,u) | K(z,u) = x. [para(126(a,1),44(a,1)),flip(a)]. 191 K(x,y) * z = z * K(x,y). [para(126(a,1),97(a,1,2)),flip(a)]. 192 T(T(K(x,y),z),u) = K(x,y). [para(126(a,2),126(a,1,1))]. 193 x / K(y,z) = K(y,z) \ x. [hyper(58,a,99,a(flip),b,187,a),flip(a)]. 194 K(x,y) \ (z * K(x,y)) = z. [hyper(58,a,17,a(flip),b,187,a)]. 195 T(x \ y,K(z,u)) = T(y / x,x). [hyper(58,a,187,a,b,99,a(flip))]. 196 K(x,K(y,z)) = 1. [hyper(50,a,187,a)]. 197 T(x,1) = x. [para(27(a,1),187(a,1,2))]. 198 T(x,K(y,z)) != u | u = x. [para(187(a,1),44(a,1)),flip(a)]. 199 T(x,K(y,z)) != u | x = u. [para(187(a,1),44(a,2))]. 201 T(1,x) = 1. [hyper(49,a,197,a)]. 202 K(x,K(y,z)) = K(u,K(w,v5)). [hyper(58,a,196,a,b,196,a(flip))]. 203 K(K(x,y),z) = K(u,K(w,v5)). [hyper(58,a,196,a,b,27,a(flip)),flip(a)]. 204 x * K(y,K(z,u)) = x. [para(196(a,2),3(a,1,2))]. 205 x / (y \ (x * 1)) = y. [hyper(30,a,5,a,b,132,a),flip(a)]. 206 x * 1 != y * z | x / z = y. [para(132(a,1),39(a,1))]. 207 (x / y) * y != z | x = z. [para(132(a,2),113(a,1))]. 208 (x * y) / y != z | z = x. [para(134(a,2),112(a,1))]. 209 (x * y) / y != z | x = z. [para(134(a,2),113(a,1))]. 210 x \ (y * (y \ x)) = 1. [hyper(29,a,5,a,b,136,a(flip))]. 211 x * 1 != y * z | y \ x = z. [para(136(a,1),38(a,1))]. 213 x * (x \ y) != z | y = z. [para(136(a,2),113(a,1))]. 214 x \ (x * y) != z | z = y. [para(137(a,2),139(a,1))]. 215 x \ (x * y) != z | y = z. [para(137(a,2),140(a,1))]. 216 K(x,1 / x) = x * (1 / x). [hyper(58,a,11,a,b,138,a)]. 217 x / T(y,y \ x) = y \ x. [para(5(a,1),149(a,1,1))]. 218 (T(x,y) * z) / T(T(x,z),y) = z. [para(18(a,1),149(a,1,2))]. 219 (K(x,y) * z) / K(x,y) = z. [para(126(a,1),149(a,1,2))]. 220 (x * K(y,z)) / x = K(y,z). [para(187(a,1),149(a,1,2))]. 221 (x * y) * T(R(z,x,y),x * y) = (z * x) * y. [para(15(a,2),166(a,1,2,1))]. 222 T(T((x * y) / x,z),x) = T(y,z). [para(168(a,1),18(a,1,1)),flip(a)]. 223 T(x,y) != z | (y * z) / y = x. [para(168(a,1),44(a,1)),flip(a)]. 226 K(x,K(y,z)) != u | 1 = u. [para(204(a,1),110(a,1)),flip(a)]. 227 x / (y \ ((x / z) * z)) = y. [para(132(a,2),205(a,1,2,2))]. 228 x * y != z | T(x,y) = y \ z. [para(97(a,1),108(a,1)),flip(b)]. 229 x \ y != z \ y | z = x. [para(5(a,1),120(a,1,2))]. 230 T(T(x,K(y,z)),K(u,w)) != v5 | v5 = x. [para(187(a,2),198(a,1))]. 231 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),207(a,1,1))]. 232 x * T(y,x) != z | y * x = z. [para(149(a,1),207(a,1,1))]. 233 x * y != z | y * T(x,y) = z. [para(169(a,1),207(a,1,1))]. 234 (1 * x) / y != z | x / y = z. [para(133(a,1),208(a,1,1)),flip(b)]. 235 x / (y \ x) != z | y = z. [para(5(a,1),209(a,1,1))]. 237 (x * T(y,x)) / x != z | y = z. [para(97(a,2),209(a,1,1))]. 238 x * (y \ (y * (x \ z))) != u | z = u. [para(4(a,2),213(a,1,2))]. 239 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(9(a,2),213(a,1,2))]. 240 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),213(a,1,2))]. 242 x \ x != y | 1 = y. [para(3(a,1),214(a,1,2)),flip(b)]. 243 x \ (y * x) != z | T(y,x) = z. [para(97(a,1),214(a,1,2)),flip(b)]. 246 (x / y) \ x != z | y = z. [para(7(a,1),215(a,1,2))]. 247 x \ (y * T(x,y)) != z | y = z. [para(97(a,2),215(a,1,2))]. 248 ((x * y) * z) / a(x,y,z) != u | x * (y * z) = u. [para(9(a,2),235(a,1,2))]. 249 (x / y) \ (z * (z \ x)) = y. [para(7(a,1),66(a,1,2,2,2))]. 250 x \ ((x * y) * L(z,y,x)) = y * z. [para(13(a,2),66(a,1,2,2))]. 251 x \ (y * (y \ (x * (z \ u)))) != z \ w | u = w. [para(66(a,2),42(a,1))]. 253 L(x \ (y \ z),x,y) = (y * x) \ z. [para(68(a,1),13(a,2,2))]. 255 K(x \ 1,x) = (x \ 1) * x. [hyper(58,a,64,a(flip),b,81,a)]. 256 ((x \ y) * x) * K(x,x \ y) = y. [hyper(58,a,81,a,b,5,a)]. 257 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),81(a,1,1))]. 258 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(81(a,1),13(a,2,1)),flip(a)]. 259 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(81(a,1),13(a,2,2,2)),flip(a)]. 260 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(81(a,1),15(a,2,1)),flip(a)]. 261 (x * y) \ (y * x) != z | K(y,x) = z. [para(81(a,1),214(a,1,2)),flip(b)]. 263 (K(x,y) \ z) \ z = K(x,y). [hyper(58,a,126,a(flip),b,98,a),flip(a)]. 264 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(57,a,98,a)]. 265 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(53,a,98,a)]. 267 T(x / y,(x / y) \ x) = y \ x. [para(76(a,1),98(a,2,1))]. 268 x != y | z != y | x = z. [para(2(a,1),102(a,1))]. 269 (x / (y * (y \ z))) * z = x. [hyper(207,a,128,a),flip(a)]. 271 x / y != (z / u) * u | z * y = x. [para(131(a,1),41(a,1)),flip(a)]. 272 ((x / y) * y) * z != u | x * z = u. [para(131(a,1),207(a,1,1))]. 275 x * (y * (y \ z)) != u | x * z = u. [para(135(a,1),213(a,1,2))]. 276 (x / y) * ((z / y) \ z) = x. [para(76(a,1),152(a,1,2,1,2))]. 278 K(x,y) * (y * x) = x * y. [hyper(33,a,11,a(flip),b,184,a),flip(a)]. 279 K(x,y) != z \ u | K(x,y) * z = u. [para(184(a,1),42(a,1))]. 280 x * K(y,z) != u | K(y,z) * x = u. [para(184(a,1),213(a,1,2))]. 281 (K(x,y) * z) / K(x,y) != u | z = u. [para(184(a,1),235(a,1,2))]. 282 x * (K(y,z) * u) = x * (u * K(y,z)). [para(184(a,1),128(a,1,2,2)),flip(a)]. 283 x * T(K(y,z),u) = K(y,z) * x. [para(185(a,1),97(a,1,2))]. 284 T(K(x,y),z) != u | K(x,y) = u. [para(185(a,1),198(a,1)),flip(b)]. 285 T(x * K(y,z),K(u,w)) = K(y,z) * x. [hyper(268,a,187,a,b,191,a)]. 286 T(K(x,y) * z,K(u,w)) = z * K(x,y). [hyper(58,a,187,a,b,191,a)]. 287 (K(x,y) * z) \ u = (z * K(x,y)) \ u. [hyper(56,a,191,a)]. 288 x / (K(y,z) * u) = x / (u * K(y,z)). [hyper(55,a,191,a)]. 289 (K(x,y) * z) * u = (z * K(x,y)) * u. [hyper(52,a,191,a)]. 290 (K(x,y) * z) \ (z * (K(x,y) * u)) = L(u,K(x,y),z). [para(191(a,2),13(a,2,1)),flip(a)]. 292 K(x,y) * z != u * K(x,y) | u = z. [para(191(a,1),38(a,1)),flip(a)]. 293 K(x,y) * z != z * u | K(x,y) = u. [para(191(a,2),38(a,1))]. 294 T(K(x,y),z) * u = u * K(x,y). [para(126(a,2),191(a,1,1))]. 295 x * K(y,z) != u | K(y,z) \ u = x. [para(191(a,1),108(a,1))]. 296 (x * K(y,z)) / x != u | K(y,z) = u. [para(191(a,1),208(a,1,1)),flip(b)]. 297 T(x,y) != K(z,u) | T(K(z,u),w) = x. [para(192(a,1),44(a,1)),flip(a)]. 298 K(x,y) != z | T(K(x,y),u) = z. [para(192(a,1),198(a,1)),flip(b)]. 299 K(x,y) \ z != u | u * K(x,y) = z. [para(193(a,1),116(a,1))]. 300 x / K(y,z) != u | K(y,z) * u = x. [para(193(a,2),117(a,1))]. 301 K(x,y) * z != u | z * K(x,y) = u. [para(194(a,1),213(a,1,2))]. 303 (x * ((y * z) \ (z * y))) / x = K(z,y). [para(11(a,1),220(a,1,1,2))]. 305 K(x,y) = (x * y) / (y * x). [para(81(a,1),220(a,1,1)),flip(a)]. 306 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(13(a,2),227(a,1,2))]. 307 x * (x \ y) != z * u | y / u = z. [para(249(a,1),114(a,1,2)),flip(a)]. 310 T(x,(y \ 1) * y) != z | x = z. [para(255(a,1),199(a,1,2))]. 311 K(x,y) != z \ u | K(x,y) \ u = z. [para(263(a,1),43(a,1))]. 312 x / K(y,z) != u | K(y,z) \ x = u. [para(263(a,1),235(a,1,2))]. 313 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(15(a,2),269(a,1,1))]. 314 x * ((y / z) \ y) != u | u / z = x. [para(276(a,1),39(a,1)),flip(a)]. 315 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(217(a,1),276(a,1,2,1))]. 317 K(x,y / x) * y = x * (y / x). [para(7(a,1),278(a,1,2))]. 318 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(278(a,1),13(a,2,1)),flip(a)]. 319 x * (y * z) != z * y | K(z,y) = x. [para(278(a,1),39(a,1)),flip(a)]. 320 ((x \ y) * x) / y = K(x \ y,x). [para(5(a,1),305(a,2,2)),flip(a)]. 321 (x * (y / x)) / y = K(x,y / x). [para(7(a,1),305(a,2,2)),flip(a)]. 322 L(x,y,1) = x. [hyper(58,a,61,a(flip),b,85,a),flip(a)]. 324 a(1,x,y) = 1. [hyper(48,a,322,a)]. 325 a(K(x,x),y,z) = 1. [para(141(a,2),324(a,1,1))]. 326 a(K(x,K(y,z)),u,w) = 1. [para(196(a,2),324(a,1,1))]. 327 a(K(x,y),x,z) = 1. [hyper(58,a,28,a,b,325,a)]. 328 L(x,y,K(y,z)) = x. [hyper(47,a,327,a)]. 329 L(x,y,K(y,z)) = u \ (u * x). [hyper(268,a,4,a,b,328,a),flip(a)]. 330 L(x,y,K(y,z)) != u | x = u. [para(328(a,1),45(a,2))]. 331 a(K(x,y),K(z,u),w) = 1. [hyper(58,a,28,a,b,326,a)]. 332 L(x,K(y,z),K(u,w)) = x. [hyper(47,a,331,a)]. 333 x \ (x * y) = L(y,1,x). [para(3(a,1),86(a,1,1))]. 334 L(x,1,y) = x. [hyper(215,a,333,a),flip(a)]. 337 R(x,1,y) = x. [hyper(58,a,70,a(flip),b,91,a),flip(a)]. 339 R(x,1,y) != z | x = z. [para(337(a,1),46(a,2))]. 340 T((x * y) \ x,K(z,u)) = L(y \ 1,y,x). [hyper(268,a,187,a,b,163,a)]. 341 L(x \ 1,x,1 / x) = 1 / x. [hyper(268,a,138,a(flip),b,163,a),flip(a)]. 342 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(105,a,163,a,b,7,a),flip(a)]. 343 x / L(y \ 1,y,x) = x * y. [hyper(153,a,163,a(flip))]. 344 (x * y) * L(y \ 1,y,x) = x. [hyper(117,a,163,a(flip))]. 345 L((x \ y) \ 1,x \ y,x) = y \ x. [para(5(a,1),163(a,2,1))]. 346 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),163(a,2,1))]. 347 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(163(a,1),25(a,1,1)),flip(a)]. 348 L(x \ 1,x,K(y,z)) = (x * K(y,z)) \ K(y,z). [para(191(a,1),163(a,2,1))]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(52,a,164,a)]. 350 R(1 / x,x,y) \ y = x * y. [hyper(150,a,164,a(flip))]. 351 R(1 / x,x,x \ y) = (x \ y) / y. [para(5(a,1),164(a,2,2))]. 352 R(1 / (x / y),x / y,y) = y / x. [para(7(a,1),164(a,2,2))]. 353 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(97(a,1),164(a,2,2))]. 354 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(18(a,1),179(a,1,2))]. 355 (x / y) * y != z * u | x / u = z. [para(132(a,2),206(a,1))]. 356 x * (y * (y \ 1)) != z * u | z \ x = u. [para(5(a,2),211(a,1,2))]. 358 x * (x \ y) != z * u | z \ y = u. [para(136(a,2),211(a,1))]. 360 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),232(a,1,2))]. 361 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),232(a,1,2))]. 364 ((x / y) * y) / z != u | x / z = u. [para(133(a,2),234(a,1,1))]. 365 x != y | T(x,K(z,u)) = y. [para(194(a,1),243(a,1))]. 366 T((x * y) \ (y * x),z) != u | K(y,x) = u. [para(11(a,1),284(a,1,1))]. 367 T(K(x,y),z) != u | T(K(x,y),w) = u. [para(126(a,2),298(a,1))]. 368 (K(x,y) * x) * z = K(x,y) * (x * z). [hyper(33,a,13,a(flip),b,329,a(flip)),flip(a)]. 369 x / L(y,1 / y,x) = x * (1 / y). [para(76(a,1),343(a,1,2,1))]. 370 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(343(a,1),246(a,1,1))]. 371 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(73(a,1),350(a,1,1,1))]. 372 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(4(a,1),82(a,2,1)),flip(a)]. 373 K(x \ 1,x) != y | (x \ 1) * x = y. [para(82(a,1),139(a,1)),flip(b)]. 374 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(255(a,2),83(a,1,1))]. 375 K(x,1 / x) != y | x * (1 / x) = y. [para(84(a,1),139(a,1)),flip(b)]. 376 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(104,a,13,a,b,138,a(flip))]. 377 K(x,K(y,z)) = T(u,K(w,v5)) \ u. [hyper(104,a,187,a(flip),b,204,a),flip(a)]. 378 x * T(x \ (y * x),z) = T(y,z) * x. [para(17(a,1),175(a,1,2,1))]. 379 T(x / y,z) * y = y * T(y \ x,z). [para(99(a,1),175(a,1,2,1)),flip(a)]. 380 T(x,K(y,z)) * u = u * T(x,u). [para(187(a,1),175(a,1,2)),flip(a)]. 381 T((x * y) / x,z) * x = x * T(y,z). [para(168(a,1),175(a,1,2,1)),flip(a)]. 382 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(98(a,1),175(a,1,2,1))]. 383 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(223,a,181,a)]. 384 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(181(a,1),44(a,1))]. 385 T((x * y) \ (y * x),z) = T((x * y) \ (y * x),u). [hyper(268,a,188,a,b,188,a)]. 388 T(x / y,y) != z | y \ x = z. [para(195(a,1),198(a,1)),flip(b)]. 390 T(x,x \ y) != z | (x \ y) \ y = z. [para(73(a,1),388(a,1,1))]. 391 (x * T(y,z)) / x = T((x * y) / x,z). [hyper(223,a,222,a)]. 392 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(222(a,1),44(a,2)),flip(b)]. 395 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(257(a,1),13(a,2,2,2)),flip(a)]. 396 (x \ 1) * x != y | K(x \ 1,x) = y. [para(257(a,1),107(a,1))]. 397 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(257(a,1),214(a,1,2)),flip(b)]. 398 T(K(x,y),z) = K(u,K(w,v5)) * K(x,y). [hyper(58,a,204,a(flip),b,294,a)]. 399 K(x \ y,x) != z / y | (x \ y) * x = z. [para(320(a,1),41(a,1))]. 400 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(34,a,263,a,b,374,a)]. 401 T(x,K(y,z)) * (x \ u) = u. [hyper(268,a,167,a(flip),b,380,a),flip(a)]. 403 T(x,K(y,z)) * K(u,w) = K(u,w) * x. [para(187(a,1),380(a,2,2))]. 404 (x * y) / L(z \ y,z,x) = x * z. [hyper(106,a,128,a(flip),b,87,a)]. 405 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(58,a,127,a(flip),b,87,a)]. 406 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(58,a,64,a(flip),b,87,a),flip(a)]. 407 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(104,a,64,a(flip),b,87,a(flip))]. 408 x * L(y,z \ x,z) = z * ((z \ x) * y). [para(5(a,1),87(a,1,1))]. 409 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(87(a,1),13(a,2,1)),flip(a)]. 410 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(87(a,1),13(a,2,2,2)),flip(a)]. 411 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(87(a,1),15(a,2,1,1)),flip(a)]. 412 ((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)). [para(87(a,1),15(a,2,2)),flip(a)]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(20(a,1),87(a,1,2))]. 414 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(24(a,2),87(a,1,2))]. 415 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(25(a,1),87(a,1,2))]. 416 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(87(a,1),38(a,1)),flip(a)]. 418 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(97(a,1),87(a,1,1))]. 419 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(87(a,1),214(a,1,2)),flip(b)]. 420 (x * K(y,z)) * L(u,x,K(y,z)) = K(y,z) * (x * u). [para(191(a,1),87(a,1,1))]. 421 (x * K(y,z)) * L(u,K(y,z),x) = x * (u * K(y,z)). [para(191(a,1),87(a,2,2))]. 422 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(255(a,2),87(a,1,1))]. 423 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(332(a,1),87(a,1,2))]. 425 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(268,a,138,a(flip),b,89,a),flip(a)]. 426 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(5(a,1),89(a,2,1))]. 427 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(97(a,1),89(a,2,1))]. 428 x / L(y \ z,y,x / z) = (x / z) * y. [para(89(a,2),227(a,1,2))]. 429 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(87(a,1),89(a,2,1))]. 430 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(159,a,94,a),flip(a)]. 431 (R(x,y,z) * (y * z)) / z = x * y. [hyper(106,a,94,a,b,xx)]. 432 R(x / x,x,y) = 1. [hyper(105,a,127,a(flip),b,94,a),flip(a)]. 433 R(x / y,y,z) \ (x * z) = y * z. [hyper(104,a,127,a(flip),b,94,a)]. 434 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(58,a,65,a(flip),b,94,a),flip(a)]. 436 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(106,a,65,a(flip),b,94,a(flip))]. 437 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(104,a,65,a(flip),b,94,a(flip))]. 438 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),94(a,1,2))]. 439 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(94(a,1),15(a,2,1,1)),flip(a)]. 440 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(94(a,1),15(a,2,2)),flip(a)]. 441 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(22(a,1),94(a,1,1))]. 442 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),94(a,1,1))]. 443 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),94(a,1,1))]. 444 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(94(a,1),39(a,1))]. 446 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(97(a,1),94(a,1,2))]. 447 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(94(a,1),208(a,1,1)),flip(b)]. 448 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(81(a,1),94(a,1,2))]. 449 R(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * u. [para(191(a,1),94(a,1,2))]. 450 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(255(a,2),94(a,1,2))]. 451 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(94(a,1),94(a,1,2))]. 452 R(1,x,y) = 1. [para(69(a,1),432(a,1,1))]. 454 R(x / y,y,x \ z) = z / (y * (x \ z)). [hyper(268,a,129,a(flip),b,95,a),flip(a)]. 455 R((x / y) / z,z,y) = x / (z * y). [para(7(a,1),95(a,2,1))]. 456 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),95(a,2,2))]. 457 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(95(a,1),22(a,2,1)),flip(a)]. 458 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(95(a,2),99(a,1,1))]. 460 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(94(a,1),95(a,2,1))]. 461 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(94(a,1),95(a,2,2))]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [para(5(a,1),147(a,1,2,1))]. 463 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(81(a,1),147(a,1,2,1))]. 464 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(257(a,1),147(a,1,2,1))]. 465 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(87(a,1),147(a,1,2,1))]. 466 x * (y \ (y * z)) != u | x * z = u. [para(4(a,1),238(a,1,2,2,2))]. 467 L(x \ (y \ z),x,y) = (u * T((y * x) \ z,u)) / u. [hyper(268,a,169,a,b,253,a),flip(a)]. 468 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(253(a,1),20(a,2,1))]. 469 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(7(a,1),261(a,1,1))]. 471 (x * (x \ y)) * z != u | y * z = u. [para(73(a,1),272(a,1,1,1))]. 472 (x * T(y,x)) * z != u | (y * x) * z = u. [para(149(a,1),272(a,1,1,1))]. 473 (x * K(y,z)) * u != w | (K(y,z) * x) * u = w. [para(219(a,1),272(a,1,1,1))]. 474 (K(x,y) * z) * u != w | (z * K(x,y)) * u = w. [para(220(a,1),272(a,1,1,1))]. 481 x * (y * 1) != z | x * y = z. [para(62(a,1),275(a,1,2,2))]. 483 x * (y * K(z,u)) != w | x * (K(z,u) * y) = w. [para(184(a,1),275(a,1,2,2))]. 484 x * (K(y,z) * u) != w | x * (u * K(y,z)) = w. [para(194(a,1),275(a,1,2,2))]. 485 (x * y) * (y \ z) != u | R(x,y,y \ z) * z = u. [para(94(a,1),275(a,1))]. 486 T(K(x,y) * z,K(u,w)) != v5 | z * K(x,y) = v5. [para(187(a,2),301(a,1))]. 487 x * (y \ (y * (x \ z))) != u * w | z / w = u. [para(4(a,2),307(a,1,2))]. 491 ((1 / x) * x) * y != z * u | y / u = z. [para(138(a,1),307(a,1,2))]. 492 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(135(a,1),307(a,1,2))]. 493 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(351(a,1),22(a,2,1)),flip(a)]. 494 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(131(a,1),355(a,1,1))]. 502 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(135(a,1),358(a,1,2))]. 504 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(95(a,2),364(a,1))]. 505 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(371(a,1),235(a,1,2))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [para(25(a,1),376(a,1,2))]. 507 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(22(a,2),390(a,1))]. 508 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(11(a,2),404(a,1,2,1))]. 509 (x * y) / L(z,y / z,x) = x * (y / z). [para(76(a,1),404(a,1,2,1))]. 510 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(275,a,406,a),flip(a)]. 511 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(104,a,25,a,b,406,a)]. 512 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(104,a,24,a,b,406,a)]. 513 x * K(x \ 1,x) = L(x,x \ 1,x). [para(255(a,2),406(a,1,2))]. 514 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(406(a,1),275(a,1))]. 516 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(17(a,2),425(a,1,1))]. 517 R(x / (1 / y),1 / y,y) = x * y. [hyper(272,a,430,a),flip(a)]. 518 R(x / y,y,x \ z) \ z = y * (x \ z). [para(5(a,1),433(a,1,2))]. 519 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(272,a,434,a),flip(a)]. 520 x * ((y / z) \ y) != u | x * z = u. [para(7(a,1),466(a,1,2,2))]. 521 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(510(a,1),20(a,2,1))]. 522 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(517(a,1),22(a,2,1))]. 523 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(519(a,1),26(a,1,1)),flip(a)]. 524 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(58,a,87,a(flip),b,176,a)]. 525 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(22(a,2),176(a,1,2,1))]. 527 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(99(a,1),176(a,1,2,1)),flip(a)]. 528 L(K(x,y),z,u) * w = w * L(K(x,y),z,u). [para(126(a,1),176(a,1,2,1)),flip(a)]. 529 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(168(a,1),176(a,1,2,1)),flip(a)]. 530 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(98(a,1),176(a,1,2,1))]. 531 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(268,a,94,a(flip),b,177,a),flip(a)]. 532 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(104,a,94,a(flip),b,177,a)]. 533 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(18(a,1),177(a,1,2,1))]. 535 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(99(a,1),177(a,1,2,1)),flip(a)]. 536 R(K(x,y),z,u) * w = w * R(K(x,y),z,u). [para(126(a,1),177(a,1,2,1)),flip(a)]. 537 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(168(a,1),177(a,1,2,1)),flip(a)]. 538 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(98(a,1),177(a,1,2,1))]. 539 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(223,a,182,a)]. 540 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(223,a,183,a)]. 541 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(519(a,1),183(a,1,1)),flip(a)]. 542 T(L(K(x,y),z,u),w) = T(L(K(x,y),z,u),v5). [hyper(268,a,189,a,b,189,a)]. 543 T(x,L(K(y,z),u,w)) = x. [hyper(49,a,189,a)]. 544 T(x,L(K(y,z),u,w)) = T(x,K(v5,v6)). [hyper(268,a,187,a,b,543,a),flip(a)]. 545 L(K(x,y),z,u) * w != v5 | w * L(K(x,y),z,u) = v5. [para(543(a,1),232(a,1,2))]. 546 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(264(a,1),42(a,1))]. 547 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(106,a,265,a,b,xx)]. 548 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(104,a,265,a(flip),b,81,a)]. 549 K(x,y) * (z * K(u,w)) = (K(u,w) * z) * K(x,y). [hyper(301,a,282,a),flip(a)]. 550 T(x,K(y,z)) = K(u,K(w,v5)) * x. [para(204(a,1),285(a,1,1))]. 551 T(x,K(y,z)) = (K(u,w) \ x) * K(u,w). [para(5(a,1),286(a,1,1))]. 552 (K(x,y) * z) * K(u,w) != v5 | K(u,w) * (z * K(x,y)) = v5. [para(289(a,2),280(a,1))]. 554 (x * ((y * z) \ (z * y))) / x = (y * z) \ (z * y). [hyper(268,a,11,a(flip),b,303,a),flip(a)]. 555 R(K(x,y),x,z) = K(x,y). [hyper(30,a,94,a,b,368,a(flip))]. 556 K(x \ (x * y),x) = K(y,x). [hyper(268,a,82,a(flip),b,372,a)]. 557 K(x \ (x * y),z) = K(y,z). [para(63(a,1),556(a,1,1)),flip(a)]. 558 K((x / y) \ x,z) = K(y,z). [para(7(a,1),557(a,1,1,2))]. 559 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(76(a,1),383(a,1,1,2,1))]. 560 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(383(a,1),207(a,1,1))]. 562 T((x * y) / x,T(y,z)) = (x * y) / x. [para(145(a,1),391(a,1,1,2)),flip(a)]. 563 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(99(a,1),391(a,1,1,2)),flip(a)]. 564 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(391(a,1),207(a,1,1))]. 565 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(v5,v6)). [para(403(a,1),285(a,1,1))]. 566 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(547(a,1),41(a,1)),flip(a)]. 568 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(5(a,1),78(a,1,1,2))]. 569 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(78(a,1),214(a,1,2)),flip(b)]. 570 (x * (y * K(z,u))) * a(x,K(z,u),y) = (x * K(z,u)) * y. [para(191(a,1),78(a,1,1,2))]. 571 (K(x,K(y,z)) * (u * w)) * 1 = (K(x,K(y,z)) * u) * w. [para(326(a,1),78(a,1,2))]. 572 L(T(T(x,y \ z),u),y \ z,y) = z \ (y * (T(x,u) * (y \ z))). [para(175(a,1),88(a,1,2,2)),flip(a)]. 573 ((x * y) * z) / a(y,T(x,y),z) = y * (T(x,y) * z). [para(97(a,1),148(a,1,1,1))]. 574 ((x * K(y,z)) * u) / a(x,K(y,z),u) = x * (T(K(y,z),w) * u). [para(186(a,2),148(a,2,2))]. 575 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(434(a,1),162(a,1,2))]. 576 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(430(a,1),165(a,1,2))]. 577 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(268,a,20,a(flip),b,174,a),flip(a)]. 578 L(T(x,y),y,x) = T(x,x * y). [hyper(243,a,174,a),flip(a)]. 579 (K(x,y) * z) \ ((u * z) * K(x,y)) = L(T(u,z),z,K(x,y)). [para(191(a,1),174(a,1,2))]. 580 T(L(x,y,x),y) = T(x,x * y). [hyper(58,a,20,a(flip),b,578,a)]. 581 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(578(a,1),24(a,1,1)),flip(a)]. 582 x * T(y,y * x) = L(y,x,y) * x. [para(578(a,1),176(a,1,2))]. 583 (x * T(y,y * x)) / x = L(y,x,y). [hyper(223,a,580,a)]. 584 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(5(a,1),582(a,1,2,2)),flip(a)]. 585 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(97(a,1),582(a,1,2,2)),flip(a)]. 587 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(104,a,313,a(flip),b,177,a)]. 589 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(340(a,1),401(a,1,1))]. 590 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(213,a,349,a),flip(a)]. 591 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(17(a,1),360(a,1,2,1))]. 592 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(178,a,405,a)]. 593 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(58,a,176,a(flip),b,405,a),flip(a)]. 594 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(104,a,176,a(flip),b,405,a(flip))]. 595 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(25(a,1),408(a,1,2))]. 597 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(408(a,1),214(a,1,2)),flip(b)]. 598 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(268,a,9,a,b,426,a)]. 599 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(426(a,1),20(a,2,1))]. 600 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(426(a,1),24(a,1,1)),flip(a)]. 601 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(24(a,1),438(a,1,1))]. 602 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(456(a,1),22(a,2,1))]. 603 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(456(a,1),26(a,1,1)),flip(a)]. 604 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(7(a,1),462(a,1,2))]. 605 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),235(a,1,2))]. 606 R(x,x \ y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,u). [para(191(a,2),462(a,1,2))]. 609 T(L(x,y,1 / y),y) = (1 / y) * (x * y). [hyper(58,a,20,a(flip),b,516,a)]. 610 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(7(a,1),577(a,1,1)),flip(a)]. 611 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [hyper(238,a,589,a),flip(a)]. 612 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(5(a,1),590(a,1,1,2))]. 613 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(178,a,611,a),flip(a)]. 614 ((x * y) \ x) * z != u | L(y \ 1,y,x) \ u = z. [para(611(a,1),38(a,1)),flip(a)]. 615 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(268,a,22,a,b,100,a)]. 616 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(22(a,1),231(a,1,1))]. 619 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(65(a,1),231(a,1))]. 620 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(20(a,1),240(a,1,2))]. 622 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(81(a,1),416(a,1,1)),flip(a)]. 624 (x * K(y,z)) * u != x * (w * K(y,z)) | L(w,K(y,z),x) = u. [para(191(a,1),416(a,2,2))]. 625 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(255(a,2),416(a,1,1))]. 629 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(278(a,1),419(a,1,1))]. 630 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(87(a,1),419(a,1,2,2))]. 631 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(78(a,1),419(a,1,2,2))]. 633 (x * K(y,z)) * u != w * (u * K(y,z)) | R(x,K(y,z),u) = w. [para(191(a,1),444(a,2,2))]. 635 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(257(a,1),444(a,2,2))]. 637 ((x * K(y,z)) * u) / (u * K(y,z)) != w | R(x,K(y,z),u) = w. [para(191(a,1),447(a,1,2))]. 638 R(x / y,y,z) != u | (x * z) / (y * z) = u. [para(6(a,1),504(a,1,1,1))]. 639 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(345(a,1),527(a,2,2))]. 640 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(115,a,529,a),flip(a)]. 641 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(106,a,87,a(flip),b,529,a),flip(a)]. 642 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(58,a,349,a(flip),b,535,a)]. 644 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(260(a,1),535(a,1,1,1)),flip(a)]. 645 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(231,a,537,a)]. 646 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(115,a,537,a),flip(a)]. 647 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(106,a,537,a(flip),b,313,a(flip))]. 648 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(106,a,537,a(flip),b,94,a(flip))]. 650 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(163(a,1),539(a,1,1,2))]. 651 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(253(a,1),539(a,1,1,2)),flip(a)]. 652 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(345(a,1),539(a,1,1,2))]. 653 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(76(a,1),540(a,1,1,2,1))]. 654 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(540(a,1),207(a,1,1))]. 655 T(x,y) != (z * (y \ u)) / z | (z * (u / y)) / z = x. [para(563(a,1),44(a,1)),flip(a)]. 656 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(563(a,1),97(a,1,2)),flip(a)]. 657 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(563(a,1),232(a,1,2))]. 658 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(99(a,1),615(a,1,1,1)),flip(a)]. 659 R(x,y,z) != u | ((x * y) * z) / (y * z) = u. [para(6(a,1),638(a,1,1))]. 660 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(640(a,1),87(a,1,2))]. 661 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(346(a,1),640(a,2,1,2))]. 662 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(425(a,1),640(a,2,1,2))]. 663 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(510(a,1),640(a,2,1,2))]. 664 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(426(a,1),640(a,2,1,2))]. 665 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(646(a,1),94(a,1,1))]. 667 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(455(a,1),646(a,2,1,2))]. 668 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(517(a,1),646(a,2,1,2))]. 669 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(519(a,1),646(a,2,1,2))]. 670 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(646(a,1),231(a,1,1))]. 671 T(R(x,y,(x * y) \ z),u) * (y * ((x * y) \ z)) = (y * ((x * y) \ z)) * T((y * ((x * y) \ z)) \ z,u). [para(93(a,2),379(a,1,1,1))]. 672 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(341(a,1),347(a,1,1)),flip(a)]. 673 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(347(a,1),87(a,1,2))]. 674 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(5(a,1),672(a,1,1,1))]. 675 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(33,a,329,a(flip),b,348,a(flip))]. 677 K(x,y) / (x \ 1) = x * K(x,y). [hyper(115,a,675,a)]. 679 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(163(a,1),413(a,1,2,1))]. 680 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(89(a,1),413(a,1,2,1))]. 681 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(253(a,1),413(a,1,2,1))]. 682 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(578(a,1),413(a,1,2,1))]. 683 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(427(a,1),25(a,1,1)),flip(a)]. 684 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(30,a,381,a,b,446,a)]. 685 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(29,a,177,a,b,446,a(flip))]. 686 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(685(a,1),446(a,1,1)),flip(a)]. 688 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(168(a,1),457(a,2,1)),flip(a)]. 689 T(R(T(x / y,z),y,u),y * u) = T((y * u) \ (x * u),z). [para(457(a,1),181(a,1,1))]. 690 T(R(x,y,x),y * x) = T(x,y). [para(688(a,2),222(a,1,1))]. 691 R(x,x \ 1,x) = T(x,x \ 1). [hyper(310,a,690,a)]. 692 R(T(x,y * x),y,x) = T(x,y). [hyper(58,a,22,a,b,690,a)]. 693 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(690(a,1),176(a,1,2,1)),flip(a)]. 694 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(690(a,1),177(a,1,2,1)),flip(a)]. 695 (x * y) * T(y,x) = (y * x) * y. [para(690(a,1),221(a,1,2))]. 696 T(x,x \ 1) \ x = (x \ 1) * x. [para(691(a,1),371(a,1,1))]. 697 R(T(x,y),y / x,x) = T(x,y / x). [para(7(a,1),692(a,1,1,2))]. 698 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(692(a,1),46(a,1)),flip(a)]. 699 (x * (y / x)) * x = y * T(x,y / x). [hyper(272,a,695,a),flip(a)]. 700 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(104,a,695,a(flip),b,81,a)]. 701 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(98(a,1),696(a,1,1))]. 702 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(268,a,255,a,b,701,a),flip(a)]. 703 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(117,a,702,a)]. 704 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(34,a,263,a,b,702,a)]. 705 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(76(a,1),704(a,1,1,1))]. 706 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(697(a,1),46(a,1)),flip(a)]. 707 R(x,1 / x,x) = T(x,1 / x). [para(197(a,1),697(a,1,1))]. 708 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(707(a,1),26(a,1,1)),flip(a)]. 709 K(x,1 / x) \ (1 / x) = x \ 1. [para(76(a,1),705(a,2,1))]. 710 (x \ 1) * K(x,1 / x) = 1 / x. [hyper(299,a,709,a)]. 711 (x \ 1) * y != 1 / x | K(x,1 / x) = y. [para(710(a,1),38(a,1)),flip(a)]. 712 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(458(a,1),615(a,2,1))]. 713 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(17(a,2),468(a,1,1,1,2))]. 714 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(468(a,1),240(a,1,2))]. 715 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(493(a,2),313(a,1,1))]. 717 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(104,a,521,a(flip),b,406,a),flip(a)]. 718 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(106,a,522,a(flip),b,430,a),flip(a)]. 719 K(x,y) \ (L(z,u,K(x,y)) * (u * K(x,y))) = u * T(z,K(x,y) * u). [hyper(104,a,282,a(flip),b,524,a)]. 720 L(K(x,y),z,u) * (u * z) = u * (K(x,y) * z). [para(283(a,1),524(a,1,2)),flip(a)]. 721 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(104,a,74,a(flip),b,531,a),flip(a)]. 722 (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. [para(531(a,1),214(a,1,2)),flip(b)]. 723 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(73(a,1),560(a,1,1,1))]. 724 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [hyper(30,a,381,a,b,584,a)]. 726 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(346(a,1),594(a,1,2,1))]. 727 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [para(346(a,1),610(a,1,1)),flip(a)]. 728 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(7(a,1),651(a,2,1,2,1))]. 729 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(17(a,2),651(a,2,1,2))]. 730 (x * (K(y,z) * u)) / (x * u) = L(K(y,z),u,x). [hyper(115,a,720,a)]. 732 (x * (K(y,z) * u)) / (x * u) != w | L(K(y,z),u,x) = w. [para(720(a,1),208(a,1,1)),flip(b)]. 733 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(58,a,562,a(flip),b,724,a)]. 734 (x * (K(y,z) * u)) / (u * T(x,u)) = L(K(y,z),u,x). [para(97(a,2),730(a,1,2))]. 735 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(474,a,423,a)]. 736 R(K(x,y),K(z,u),w) = K(x,y). [hyper(444,a,423,a)]. 737 T(K(x,y),z) * u = K(w,K(v5,v6)) * (K(x,y) * u). [para(398(a,2),423(a,1,1))]. 738 T((x * y) / (y * x),y * x) = (z * ((y * x) \ (x * y))) / z. [hyper(268,a,99,a,b,554,a)]. 739 K(x,y) * T(z,K(u,w)) = z * K(x,y). [hyper(486,a,565,a),flip(a)]. 740 T(x,K(y,z)) != K(u,w) * T(v5,K(v6,v7)) | K(u,w) * v5 = x. [para(565(a,1),44(a,1)),flip(a)]. 742 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(58,a,436,a,b,656,a)]. 743 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(73(a,1),656(a,1,1,1,2)),flip(a)]. 744 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(95(a,1),658(a,1,1,1))]. 745 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(178,a,686,a(flip))]. 746 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(591,a,717,a),flip(a)]. 747 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(3(a,1),717(a,2,2,1))]. 748 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),717(a,2,2,1))]. 749 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(58,a,382,a(flip),b,747,a)]. 750 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(564,a,718,a),flip(a)]. 751 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(560,a,718,a)]. 752 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(397,a,726,a)]. 754 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(726(a,1),397(a,1))]. 755 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(268,a,747,a(flip),b,752,a),flip(a)]. 756 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(106,a,752,a,b,379,a)]. 757 T(x,y * T(y \ 1,z)) = x. [para(752(a,1),187(a,1,2))]. 759 (x * T(x \ 1,y)) * z != u | z * (x * T(x \ 1,y)) = u. [para(757(a,1),232(a,1,2))]. 760 R(x,(y * T(y \ 1,z)) / x,x) = T(x,(y * T(y \ 1,z)) / x). [para(757(a,1),697(a,1,1))]. 761 T(x,T(y,z) * (y \ 1)) = x. [para(382(a,1),757(a,1,2))]. 762 T(x,y \ T(y,z)) = x. [para(747(a,1),757(a,1,2))]. 764 (x \ T(x,y)) * z = z * (x \ T(x,y)). [para(762(a,1),97(a,1,2))]. 765 (x \ T(x,y)) * x = T(x,y). [para(762(a,1),167(a,1,2))]. 766 T(x,y) / x = x \ T(x,y). [para(762(a,1),217(a,1,2))]. 767 x / (y \ T(y,z)) != u | (y \ T(y,z)) \ x = u. [para(762(a,1),388(a,1))]. 769 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [hyper(58,a,690,a(flip),b,761,a),flip(a)]. 770 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(765(a,1),13(a,2,1)),flip(a)]. 772 T(x,y) != z * x | x \ T(x,y) = z. [para(765(a,1),39(a,1))]. 774 x * (T(x,y) / x) = T(x,y). [para(765(a,1),72(a,1,2,1))]. 775 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(765(a,1),87(a,1,1))]. 776 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(765(a,1),94(a,1,2))]. 778 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(765(a,1),447(a,1,1,1))]. 779 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(766(a,1),456(a,1,1))]. 780 T(x,T(y,z) / y) = x. [para(766(a,2),762(a,1,2))]. 781 K(x,T(y,z) / y) = 1. [hyper(50,a,780,a)]. 783 K(x \ T(x,y),z) = 1. [para(755(a,1),27(a,1,1))]. 784 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(99(a,1),755(a,2,2))]. 785 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(168(a,1),755(a,2,2))]. 786 K(((x * y) / x) \ y,z) = 1. [para(168(a,1),783(a,1,1,2))]. 787 K(((x * y) / x) \ y,z) = u / u. [hyper(268,a,69,a,b,786,a),flip(a)]. 788 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(399,a,787,a)]. 789 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(6(a,1),756(a,1,1,1,2))]. 790 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [hyper(117,a,727,a),flip(a)]. 791 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(58,a,423,a(flip),b,735,a)]. 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(64(a,1),750(a,1,1,1)),flip(a)]. 793 (1 / x) * T(x,y) = T(x,y) / x. [para(74(a,1),750(a,1,1,1)),flip(a)]. 794 (1 / x) * T(x,y) = x \ T(x,y). [hyper(268,a,766,a(flip),b,793,a),flip(a)]. 795 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(228,a,793,a),flip(a)]. 796 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(115,a,793,a)]. 797 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(108,a,793,a)]. 798 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(73(a,1),793(a,1,1)),flip(a)]. 800 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [para(73(a,1),794(a,1,1)),flip(a)]. 801 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(754,a,792,a)]. 802 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(268,a,766,a(flip),b,792,a),flip(a)]. 804 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(116,a,801,a(flip)),flip(a)]. 805 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(795(a,1),752(a,1,1))]. 806 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(255(a,2),790(a,1,2))]. 807 (K(x,y) * z) * T(K(u,w),v5) = K(x,y) * (K(u,w) * z). [hyper(268,a,283,a,b,791,a)]. 808 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(30,a,720,a,b,791,a)]. 810 L(L(K(x,y),z,u),w,K(v5,v6)) = L(K(x,y),z,u). [para(808(a,1),25(a,1,1)),flip(a)]. 811 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(808(a,1),87(a,1,2))]. 812 T(K(x,y) * (z * K(u,w)),K(v5,v6)) = K(u,w) * (K(x,y) * z). [para(811(a,1),285(a,1,1))]. 813 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(163(a,1),414(a,1,2,1))]. 814 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(89(a,1),414(a,1,2,1))]. 815 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(253(a,1),414(a,1,2,1))]. 816 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(253(a,1),415(a,1,2,1))]. 817 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(578(a,1),415(a,1,2,1))]. 818 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(104,a,442,a(flip),b,524,a)]. 819 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(455(a,1),442(a,1,1,1)),flip(a)]. 820 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(95(a,1),443(a,1,1,1))]. 821 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(749(a,1),463(a,1,1,1))]. 822 L(x \ (y \ z),x,y) != u | (y * x) \ z = u. [para(467(a,2),237(a,1))]. 823 L(x \ y,x,z) != u | (z * x) \ (z * y) = u. [para(4(a,1),822(a,1,1,2))]. 824 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(341(a,1),506(a,1,2,1))]. 825 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(511(a,2),38(a,1))]. 826 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(510(a,1),511(a,1,2,1)),flip(a)]. 827 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(510(a,1),512(a,1,2,1)),flip(a)]. 828 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(619,a,523,a)]. 829 L(T(T(x,y \ z),u),y \ z,y) = T(z \ (y * (x * (y \ z))),u). [para(17(a,2),599(a,1,1,1))]. 830 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(599(a,1),408(a,1,2)),flip(a)]. 831 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(602(a,1),438(a,1,1)),flip(a)]. 832 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(351(a,1),647(a,1,1,2))]. 833 T((x * y) \ (y * x),z) = L(T(y \ T(y,x),u),y,x). [hyper(268,a,385,a,b,713,a)]. 837 T((x * y) \ (y * x),z) = L(y \ T(y,x),y,x). [para(96(a,1),833(a,2,1))]. 838 K(x,y) = L(x \ T(x,y),x,y). [hyper(366,a,837,a)]. 839 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(800(a,1),838(a,2,1)),flip(a)]. 842 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(29,a,177,a,b,538,a)]. 843 (K(x,K(y,z)) * (u * w)) * 1 = (K(v5,K(v6,v7)) * u) * w. [para(202(a,1),571(a,1,1,1))]. 845 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(89(a,1),620(a,1,2,1))]. 846 R(x / (x / y),z,u) * (x / y) != w | (x / y) * R(y,z,u) = w. [para(653(a,1),207(a,1,1))]. 847 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(360,a,682,a),flip(a)]. 848 T(x,y) * (x * z) = x * (T(x,y) * z). [para(175(a,1),847(a,1,2)),flip(a)]. 849 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(492,a,848,a)]. 850 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(275,a,848,a),flip(a)]. 851 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(268,a,128,a(flip),b,848,a),flip(a)]. 852 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(108,a,848,a)]. 853 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(104,a,128,a(flip),b,848,a)]. 854 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(104,a,65,a(flip),b,848,a),flip(a)]. 855 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(7(a,1),848(a,1,2)),flip(a)]. 856 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(97(a,1),848(a,1,2)),flip(a)]. 857 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(99(a,1),848(a,1,1)),flip(a)]. 858 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(108,a,854,a)]. 859 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(99(a,1),854(a,1,2,1)),flip(a)]. 861 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(858(a,1),425(a,1,1))]. 862 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(850(a,1),38(a,1))]. 863 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(29,a,408,a,b,851,a),flip(a)]. 864 T(x,y) \ (x * (T(x,y) * z)) != x * u | z = u. [para(852(a,2),38(a,1))]. 865 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(469,a,853,a),flip(a)]. 866 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(98(a,1),853(a,2,2,1))]. 867 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(379(a,1),855(a,1,2))]. 868 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(99(a,1),859(a,1,1)),flip(a)]. 869 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(4(a,1),868(a,1,2,1)),flip(a)]. 870 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(76(a,1),868(a,1,2,1)),flip(a)]. 871 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(795(a,1),865(a,1,2))]. 872 T(1 / x,T(x,y)) = x \ 1. [hyper(104,a,781,a(flip),b,871,a),flip(a)]. 873 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(268,a,76,a(flip),b,872,a),flip(a)]. 874 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(872(a,1),181(a,1,1)),flip(a)]. 875 T(1 / (1 / x),x \ 1) = x. [para(99(a,1),873(a,1,2))]. 876 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(875(a,1),18(a,1,1)),flip(a)]. 877 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(875(a,1),123(a,1,1)),flip(a)]. 878 T(x,T(1 / x,y)) = T(x,x \ 1). [para(873(a,1),876(a,1,1)),flip(a)]. 879 T(x,1 / x) = T(x,x \ 1). [para(96(a,1),878(a,1,2))]. 880 T(x,1 / x) = (x \ 1) \ 1. [hyper(268,a,98,a(flip),b,879,a),flip(a)]. 881 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(879(a,1),708(a,2,1))]. 882 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(881(a,1),576(a,1,2))]. 883 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(864,a,866,a),flip(a)]. 884 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [hyper(251,a,883,a),flip(a)]. 885 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(104,a,842,a(flip),b,884,a),flip(a)]. 886 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(104,a,3,a(flip),b,867,a)]. 887 L(x \ y,x,y / x) = T(y / x,y). [hyper(30,a,593,a(flip),b,867,a(flip))]. 890 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(861(a,1),609(a,1,1))]. 891 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(560,a,715,a),flip(a)]. 892 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(559(a,1),785(a,1,1,2,2,1))]. 893 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(872(a,1),805(a,1,1)),flip(a)]. 895 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(874(a,1),893(a,1,2)),flip(a)]. 896 K(x \ 1,T(x,y)) = (x \ 1) * x. [hyper(268,a,97,a(flip),b,895,a),flip(a)]. 898 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(268,a,255,a,b,896,a),flip(a)]. 899 (T(K(x,y),z) * u) / T(K(x,y),w) = K(v5,K(v6,v7)) * u. [hyper(106,a,737,a,b,807,a)]. 900 K(x,y) * (K(z,u) * w) != v5 | K(z,u) * (K(x,y) * w) = v5. [para(807(a,1),232(a,1))]. 901 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(22(a,2),818(a,2,2))]. 902 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(3(a,1),827(a,2,2,1))]. 903 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(58,a,538,a(flip),b,902,a)]. 904 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(104,a,902,a(flip),b,538,a(flip))]. 905 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [hyper(520,a,903,a),flip(a)]. 906 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(106,a,903,a(flip),b,177,a)]. 907 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(903(a,1),81(a,1,1))]. 908 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(903(a,1),642(a,1,1,2)),flip(a)]. 909 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(903(a,1),563(a,2,1))]. 911 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(904(a,1),784(a,2,2))]. 912 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(268,a,535,a(flip),b,905,a),flip(a)]. 914 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [hyper(117,a,912,a)]. 915 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(58,a,575,a(flip),b,912,a),flip(a)]. 916 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(642(a,2),914(a,1,2))]. 917 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(268,a,164,a(flip),b,916,a),flip(a)]. 918 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(228,a,917,a),flip(a)]. 919 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(535(a,1),828(a,1,1))]. 920 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(268,a,656,a(flip),b,832,a),flip(a)]. 921 (K(x,K(y,z)) * u) * w != v5 * 1 | K(v6,K(v7,v8)) * (u * w) = v5. [para(843(a,1),39(a,1))]. 922 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(99(a,1),857(a,1,2,1))]. 923 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(168(a,1),857(a,1,2,1)),flip(a)]. 924 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(268,a,75,a(flip),b,922,a),flip(a)]. 925 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(76(a,1),922(a,1,2,1)),flip(a)]. 927 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(58,a,516,a,b,924,a)]. 928 (1 / x) * K(x \ 1,x) = x \ 1. [para(255(a,2),924(a,1,2))]. 929 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(280,a,928,a)]. 930 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(108,a,928,a)]. 931 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(106,a,928,a(flip),b,191,a)]. 932 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(928(a,1),296(a,1,1))]. 933 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(928(a,1),444(a,2,2))]. 934 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(928(a,1),420(a,1,1))]. 936 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(930(a,1),428(a,1,2,1))]. 937 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(927(a,1),506(a,1,2,1))]. 938 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(4(a,1),869(a,1,1)),flip(a)]. 939 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(76(a,1),870(a,1,1)),flip(a)]. 940 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(379(a,1),891(a,1,1))]. 941 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(104,a,901,a,b,xx)]. 942 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(115,a,919,a)]. 943 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(268,a,176,a(flip),b,937,a),flip(a)]. 944 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(345(a,1),943(a,1,2)),flip(a)]. 946 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(940(a,1),208(a,1,1)),flip(b)]. 947 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(747(a,1),940(a,1,1))]. 949 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(7(a,1),942(a,1,1,1)),flip(a)]. 950 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(87(a,1),318(a,1,2,2))]. 951 (x * K(y,z)) * K(u,w) != v5 | K(u,w) * (T(x,K(v6,v7)) * K(y,z)) = v5. [para(739(a,1),552(a,1,1))]. 952 (x * K(y,z)) \ ((u * x) * K(y,z)) = L(T(u,x),x,K(y,z)). [hyper(58,a,287,a(flip),b,579,a)]. 953 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(426(a,1),595(a,1,2,1)),flip(a)]. 954 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(600(a,1),408(a,1,2)),flip(a)]. 955 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(456(a,1),601(a,1,1,1)),flip(a)]. 956 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(603(a,1),438(a,1,1)),flip(a)]. 959 x / y != (((z * y) * u) / (z * y)) * z | (z * y) * R(u,z,y) = x. [para(648(a,1),41(a,1)),flip(a)]. 960 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(163(a,1),660(a,1,2,1,2))]. 961 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(89(a,1),660(a,1,2,1,2))]. 962 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(253(a,1),660(a,1,2,1,2))]. 963 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(661(a,1),405(a,1,2)),flip(a)]. 964 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(662(a,1),376(a,1,2))]. 965 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(104,a,663,a(flip),b,406,a),flip(a)]. 966 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(164(a,1),665(a,1,1,1,2))]. 967 ((x * ((y * z) / (u * z))) / x) * (u * z) = (((x * (y / u)) / x) * u) * z. [para(95(a,1),665(a,1,1,1,2))]. 969 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(106,a,668,a(flip),b,430,a),flip(a)]. 970 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(99(a,1),689(a,1,1,1))]. 971 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(689(a,1),221(a,1,2))]. 972 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(58,a,442,a(flip),b,693,a),flip(a)]. 973 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(491,a,972,a)]. 974 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(880(a,1),973(a,1,1,1))]. 975 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(76(a,1),974(a,1,1,1,1)),flip(a)]. 976 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(58,a,443,a(flip),b,694,a),flip(a)]. 977 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(168(a,1),712(a,1,1,1)),flip(a)]. 978 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(268,a,391,a(flip),b,729,a),flip(a)]. 979 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(765(a,1),733(a,1,1)),flip(a)]. 980 L(x,x \ T(x,y),x) = x. [hyper(268,a,73,a(flip),b,979,a),flip(a)]. 982 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(770(a,1),863(a,1,2)),flip(a)]. 983 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(5(a,1),982(a,1,1)),flip(a)]. 984 R(T(x,y * K(z,u)),y,K(z,u)) = L(T(x,y),y,K(z,u)). [hyper(722,a,952,a)]. 986 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(98(a,1),548(a,2,2))]. 988 (x * ((y * z) / (z * y))) / x = (y * z) / (z * y). [hyper(655,a,738,a)]. 989 R(((x * y) / x) / y,y,x) = (z * ((x * y) / (y * x))) / z. [hyper(268,a,455,a,b,988,a)]. 990 (x * (((y * z) / y) / z)) / x = ((y * z) / y) / z. [hyper(37,a,667,a,b,989,a)]. 991 x * (((y * x) / y) / x) = (y * x) / y. [hyper(41,a,990,a)]. 992 ((x * y) / x) / y = y \ ((x * y) / x). [hyper(108,a,991,a),flip(a)]. 993 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(653(a,1),992(a,1,1)),flip(a)]. 994 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(268,a,938,a(flip),b,743,a),flip(a)]. 995 (x * K(y,z)) * K(u,w) = K(y,z) * (K(u,w) * x). [hyper(486,a,812,a)]. 996 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(472,a,813,a)]. 997 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(361,a,817,a),flip(a)]. 998 x * ((x \ y) * L(T(x,x \ y),z,u)) = L(x,z,u) * y. [hyper(268,a,128,a(flip),b,997,a),flip(a)]. 999 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(176(a,1),997(a,1,2)),flip(a)]. 1000 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(502,a,999,a)]. 1001 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(356,a,999,a),flip(a)]. 1002 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(108,a,999,a)]. 1003 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(104,a,128,a(flip),b,999,a)]. 1004 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(104,a,65,a(flip),b,999,a),flip(a)]. 1005 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(104,a,999,a(flip),b,81,a)]. 1006 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(108,a,1001,a)]. 1007 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(674(a,1),1001(a,1,1)),flip(a)]. 1008 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(108,a,1004,a)]. 1009 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(345(a,1),1006(a,1,1))]. 1011 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1002(a,1),978(a,1,1,1)),flip(a)]. 1012 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(998(a,1),79(a,1,1)),flip(a)]. 1013 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(108,a,830,a)]. 1014 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(104,a,97,a(flip),b,830,a),flip(a)]. 1015 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(3(a,1),830(a,2,2,1,2))]. 1016 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(3(a,1),1014(a,2,2,1,2))]. 1017 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(268,a,372,a,b,1016,a)]. 1018 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(104,a,372,a,b,1016,a),flip(a)]. 1019 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1018(a,2),213(a,1,2))]. 1020 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(163(a,2),1018(a,1,1,1))]. 1021 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1018(a,1),798(a,1,1))]. 1022 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1020(a,2),589(a,1,2)),flip(a)]. 1023 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(108,a,1015,a),flip(a)]. 1024 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(752(a,2),1015(a,1,2)),flip(a)]. 1025 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(104,a,1024,a,b,xx),flip(a)]. 1026 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(58,a,751,a(flip),b,1024,a)]. 1027 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(58,a,748,a(flip),b,1024,a),flip(a)]. 1028 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(104,a,382,a(flip),b,1024,a(flip)),flip(a)]. 1029 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(13(a,2),1024(a,2,2,1,2,2))]. 1030 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(69(a,1),1024(a,2,2,1,2))]. 1031 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(6(a,1),1025(a,1,1,2))]. 1032 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(17(a,2),1025(a,1,1,2,2))]. 1034 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(7(a,1),1026(a,1,1,1)),flip(a)]. 1035 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(4(a,1),1030(a,1,2,1)),flip(a)]. 1036 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(268,a,379,a(flip),b,831,a),flip(a)]. 1037 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(106,a,379,a(flip),b,831,a)]. 1038 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(4(a,1),923(a,1,1)),flip(a)]. 1039 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [hyper(207,a,1038,a),flip(a)]. 1040 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(104,a,128,a(flip),b,1038,a)]. 1041 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(104,a,65,a(flip),b,1038,a),flip(a)]. 1042 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(559(a,1),1041(a,1,2,1)),flip(a)]. 1043 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(178,a,1039,a),flip(a)]. 1044 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(115,a,1043,a),flip(a)]. 1045 T(T(x * y,x) / y,x * y) = x. [para(1044(a,1),168(a,1,1))]. 1046 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1044(a,1),684(a,1,1))]. 1047 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(7(a,1),1045(a,1,1,1,1))]. 1049 x * R(y,x,T(y,x)) = T(y * x,y). [para(1046(a,1),166(a,1,2))]. 1050 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1046(a,1),388(a,1))]. 1051 T(T(x,x / y) / y,x) = x / y. [para(7(a,1),1047(a,1,2))]. 1052 T(x \ T(y,y / x),y) = T(y / x,x). [para(1051(a,1),181(a,1,1)),flip(a)]. 1053 T(x \ T(y,y / x),y) = x \ y. [hyper(268,a,99,a(flip),b,1052,a),flip(a)]. 1054 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(223,a,1053,a),flip(a)]. 1055 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(73(a,1),1053(a,1,1,2,2))]. 1056 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(117,a,1054,a)]. 1057 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1054(a,1),213(a,1,2))]. 1058 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1054(a,1),358(a,1,2))]. 1059 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(268,a,98,a,b,1055,a),flip(a)]. 1060 ((x * (x / y)) / x) * y = T(x,x / y). [hyper(657,a,1056,a)]. 1061 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(76(a,1),1056(a,1,2,1,2))]. 1062 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(651(a,2),1056(a,1,2))]. 1063 T(T(x,y) / (y \ x),x) = y. [hyper(384,a,1059,a)]. 1064 T(x,y) / (y \ x) = (x * y) / x. [hyper(223,a,1063,a),flip(a)]. 1065 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(437(a,1),1063(a,1,1,2))]. 1066 T(x,y) = ((x * y) / x) * (y \ x). [hyper(116,a,1064,a),flip(a)]. 1068 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(350(a,1),1066(a,2,2)),flip(a)]. 1069 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(371(a,1),1066(a,2,2)),flip(a)]. 1070 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(169(a,1),1061(a,1,2)),flip(a)]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(104,a,1062,a(flip),b,87,a(flip))]. 1073 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [para(76(a,1),925(a,1,1)),flip(a)]. 1074 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(268,a,75,a(flip),b,1073,a),flip(a)]. 1075 (1 / (1 / x)) * K(x,1 / x) = x. [para(216(a,2),1074(a,1,2))]. 1076 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1057,a,965,a),flip(a)]. 1077 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(58,a,1060,a(flip),b,969,a),flip(a)]. 1078 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(5(a,1),1077(a,1,1,1,2)),flip(a)]. 1079 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(4(a,1),971(a,1,2,1)),flip(a)]. 1080 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [para(7(a,1),971(a,1,2,1,2)),flip(a)]. 1081 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(379(a,1),971(a,2,1))]. 1082 (x * T(y,z)) * y = (x * y) * T(y,z). [para(381(a,1),1079(a,1,1))]. 1083 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(494,a,1082,a)]. 1084 (1 / T(x,y)) * x = x / T(x,y). [hyper(491,a,1082,a),flip(a)]. 1085 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(272,a,1082,a),flip(a)]. 1086 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(268,a,127,a(flip),b,1082,a),flip(a)]. 1089 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(99(a,1),1082(a,1,1,2)),flip(a)]. 1090 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(228,a,1084,a)]. 1091 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1085(a,1),39(a,1)),flip(a)]. 1092 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1070(a,2),1085(a,1,1))]. 1093 (x / y) * T(y,x) = (y * x) / y. [hyper(106,a,97,a(flip),b,1086,a),flip(a)]. 1096 T(x,y) = (y / x) \ ((x * y) / x). [hyper(108,a,1093,a),flip(a)]. 1097 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1093(a,1),243(a,1,2))]. 1098 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(343(a,1),1093(a,1,1)),flip(a)]. 1099 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(369(a,1),1093(a,1,1)),flip(a)]. 1100 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(268,a,130,a(flip),b,1096,a)]. 1101 T(x,x / (y \ 1)) = T(x,y * x). [hyper(58,a,1076,a(flip),b,1100,a)]. 1102 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1092(a,1),856(a,1,2)),flip(a)]. 1103 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(115,a,1102,a),flip(a)]. 1104 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(58,a,1070,a(flip),b,1103,a),flip(a)]. 1105 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(58,a,455,a,b,1104,a)]. 1106 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1077(a,1),1105(a,1,1))]. 1107 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(99(a,1),1089(a,1,2))]. 1108 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(168(a,1),1089(a,1,2)),flip(a)]. 1109 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(494,a,1107,a)]. 1110 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(491,a,1107,a),flip(a)]. 1111 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(228,a,1110,a),flip(a)]. 1112 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(58,a,939,a(flip),b,1110,a),flip(a)]. 1113 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(932,a,1112,a),flip(a)]. 1114 x * K(x \ 1,x) = 1 / (1 / x). [hyper(117,a,1113,a)]. 1115 x * K(x \ 1,x) != y | 1 / (1 / x) = y. [para(1113(a,1),213(a,1,2))]. 1117 L(x,x \ 1,x) = 1 / (1 / x). [hyper(58,a,513,a(flip),b,1114,a)]. 1118 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [hyper(104,a,1114,a(flip),b,851,a),flip(a)]. 1120 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1117(a,1),24(a,1,1)),flip(a)]. 1122 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1111(a,1),801(a,1,1))]. 1123 T(x,x \ 1) / x = K(x,x \ 1). [para(875(a,1),1122(a,1,1)),flip(a)]. 1124 K(x,x \ 1) * x = T(x,x \ 1). [hyper(116,a,1123,a)]. 1125 x * K(x,x \ 1) = T(x,x \ 1). [hyper(32,a,220,a,b,1123,a)]. 1126 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(98(a,1),1123(a,1,1))]. 1127 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1124(a,1),89(a,2,1)),flip(a)]. 1128 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(1124(a,1),368(a,1,1)),flip(a)]. 1129 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(1125(a,1),15(a,2,1,1)),flip(a)]. 1131 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(275,a,1128,a),flip(a)]. 1132 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [para(98(a,1),1128(a,2,1))]. 1136 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [para(1131(a,1),849(a,1,2))]. 1137 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [para(1131(a,1),850(a,1,2))]. 1138 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(301,a,1132,a)]. 1139 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(104,a,5,a(flip),b,1132,a),flip(a)]. 1141 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [hyper(268,a,1128,a,b,1137,a)]. 1142 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [hyper(268,a,1131,a(flip),b,1137,a),flip(a)]. 1143 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(104,a,1131,a(flip),b,1137,a)]. 1144 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(1137(a,1),38(a,1))]. 1145 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1141(a,1),38(a,1)),flip(a)]. 1146 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(97(a,1),1141(a,1,2)),flip(a)]. 1148 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(5(a,1),1013(a,1,2,2,1,2)),flip(a)]. 1149 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(587(a,1),1013(a,1,2,2,1)),flip(a)]. 1150 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [para(2(a,1),1036(a,2,2,1,2))]. 1151 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(379(a,1),1150(a,1,1))]. 1152 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(752(a,2),1151(a,1,1))]. 1153 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(115,a,1152,a),flip(a)]. 1154 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(6(a,1),1153(a,1,1,2))]. 1155 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(15(a,2),1153(a,1,1,2,2))]. 1156 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(268,a,379,a(flip),b,1037,a),flip(a)]. 1157 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(58,a,665,a(flip),b,1068,a)]. 1158 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(656(a,1),1157(a,1,1))]. 1159 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(99(a,1),1080(a,1,1,1)),flip(a)]. 1160 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(58,a,681,a(flip),b,1159,a)]. 1161 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(58,a,680,a(flip),b,1159,a),flip(a)]. 1162 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(58,a,679,a(flip),b,1159,a),flip(a)]. 1164 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(717(a,1),1160(a,1,2)),flip(a)]. 1165 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(751(a,1),1160(a,1,2)),flip(a)]. 1166 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(169(a,1),1161(a,1,1,1,2)),flip(a)]. 1167 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(97(a,1),1166(a,1,2))]. 1168 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(178,a,1167,a)]. 1169 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(106,a,1168,a,b,xx)]. 1170 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1168(a,2),72(a,1,2,1))]. 1171 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1169(a,1),207(a,1,1))]. 1173 x \ T(x * (y / x),x) = T(y,x) / x. [para(77(a,1),1169(a,1,1,1)),flip(a)]. 1174 x * (T(y * x,x) / x) = T(x * y,x). [para(4(a,1),1170(a,1,2,1,1,1))]. 1175 T(x * (y / x),x) = x * (T(y,x) / x). [para(77(a,1),1170(a,1,2,1,1)),flip(a)]. 1176 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(391(a,1),1173(a,1,2,1,2))]. 1177 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(640(a,2),1173(a,1,2,1,2))]. 1178 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(750(a,1),1174(a,1,2)),flip(a)]. 1179 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(58,a,681,a(flip),b,1081,a)]. 1180 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(58,a,679,a(flip),b,1081,a),flip(a)]. 1181 (x \ (y * z)) * T((x \ (y * z)) \ z,u) = x \ ((y * T(y \ x,u)) * z). [hyper(104,a,1081,a(flip),b,830,a),flip(a)]. 1182 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(2(a,1),1081(a,1,2,1,2))]. 1183 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1182(a,1),1032(a,2,2))]. 1184 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(268,a,17,a,b,1183,a)]. 1185 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(104,a,1184,a,b,752,a(flip))]. 1186 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(217(a,1),1184(a,2,1,2))]. 1187 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(752(a,2),1184(a,1,1)),flip(a)]. 1188 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1004(a,2),1186(a,1,2))]. 1190 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(73(a,1),1187(a,2,1,1,2))]. 1191 T(K(x \ y,x),z) = K(x \ (x / T(y \ x,u)),x). [hyper(268,a,185,a,b,1190,a)]. 1192 T(K(x \ 1,x),y) = K(x \ (x / T(x,z)),x). [para(60(a,1),1191(a,2,1,2,2,1))]. 1193 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(310,a,1192,a),flip(a)]. 1194 T(x,y) \ K(x \ 1,x) = T(T(x,y) \ 1,x). [hyper(104,a,1193,a(flip),b,752,a(flip))]. 1195 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(1193(a,1),756(a,1,1))]. 1196 x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ 1) * x. [para(1194(a,2),97(a,1,2))]. 1197 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(58,a,1118,a(flip),b,1196,a)]. 1198 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(33,a,17,a(flip),b,1185,a),flip(a)]. 1199 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(4(a,1),1108(a,1,1,2)),flip(a)]. 1200 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(494,a,1199,a)]. 1201 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(106,a,74,a(flip),b,1199,a),flip(a)]. 1202 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(106,a,64,a(flip),b,1199,a)]. 1203 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1061(a,1),1199(a,1,1)),flip(a)]. 1204 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1202(a,1),991(a,1,2))]. 1205 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(272,a,1203,a),flip(a)]. 1206 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(862,a,1205,a)]. 1208 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(115,a,1206,a)]. 1211 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(58,a,1078,a,b,1208,a)]. 1212 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(4(a,1),1211(a,1,2,2,2)),flip(a)]. 1214 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(17(a,2),1148(a,1,1))]. 1215 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(97(a,1),1156(a,1,1)),flip(a)]. 1222 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(178,a,1179,a),flip(a)]. 1223 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(58,a,1178,a,b,1179,a)]. 1224 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(5(a,1),1179(a,1,2,2,1,2,2))]. 1225 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),1179(a,1,2,2,1,2,2)),flip(a)]. 1226 x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y. [para(97(a,1),1179(a,1,2))]. 1227 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(89(a,2),1179(a,1,2,2,1,2)),flip(a)]. 1228 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(17(a,2),1222(a,1,2,1,2)),flip(a)]. 1229 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(104,a,1228,a,b,xx)]. 1230 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(4(a,1),1229(a,1,2,1,2,1)),flip(a)]. 1231 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1173(a,1),1230(a,1,1)),flip(a)]. 1232 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [hyper(117,a,1231,a),flip(a)]. 1233 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(58,a,1176,a(flip),b,1231,a)]. 1234 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(201(a,1),1232(a,2,2,1,1))]. 1235 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(2(a,1),1226(a,1,2,1,2,2)),flip(a)]. 1236 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [hyper(759,a,1235,a),flip(a)]. 1237 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(115,a,1235,a)]. 1238 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(904(a,1),1237(a,1,1,2,1))]. 1240 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1225(a,1),243(a,1,2))]. 1241 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(717(a,1),1225(a,1,1)),flip(a)]. 1242 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(806(a,2),1225(a,1,1))]. 1243 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(62(a,1),1242(a,2,2,2,1,2))]. 1245 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(97(a,1),1243(a,2,2))]. 1246 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(30,a,94,a(flip),b,1245,a),flip(a)]. 1247 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(255(a,2),1245(a,2,2))]. 1248 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(650(a,1),1247(a,1,1,1))]. 1249 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1246(a,1),39(a,1)),flip(a)]. 1250 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(524(a,1),172(a,1,1))]. 1251 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(5(a,1),1250(a,1,1,2))]. 1252 ((x * K(y,z)) * u) / a(x,T(K(y,z),w),u) = x * (T(K(y,z),v5) * u). [para(126(a,2),574(a,1,2,2))]. 1253 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(664(a,1),408(a,1,2)),flip(a)]. 1254 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(683(a,1),418(a,1,2))]. 1255 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(383(a,1),760(a,1,2)),flip(a)]. 1256 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(383(a,1),1255(a,1,2)),flip(a)]. 1257 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1256(a,1),26(a,1,1)),flip(a)]. 1258 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(379(a,1),779(a,2,1))]. 1259 T(x \ (y * (z * (y \ x))),u) = x \ (y * (T(z,u) * (y \ x))). [hyper(58,a,572,a(flip),b,829,a),flip(a)]. 1260 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(345(a,1),944(a,1,1)),flip(a)]. 1261 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(117,a,1260,a)]. 1262 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(228,a,1261,a)]. 1263 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(6(a,1),1011(a,2,1))]. 1264 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1263(a,1),381(a,1,1)),flip(a)]. 1265 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(29,a,176,a,b,1264,a)]. 1266 R(x,K(x,x \ 1),y) = x. [hyper(58,a,1136,a(flip),b,1129,a),flip(a)]. 1268 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(58,a,535,a,b,814,a)]. 1269 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(255(a,2),815(a,1,1))]. 1270 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(255(a,2),816(a,1,1))]. 1271 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(268,a,527,a(flip),b,819,a),flip(a)]. 1272 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(654,a,820,a)]. 1274 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(918(a,1),370(a,1))]. 1275 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(108,a,953,a)]. 1276 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(108,a,954,a)]. 1277 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(268,a,527,a(flip),b,955,a),flip(a)]. 1278 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(2(a,1),956(a,2,1,1,1))]. 1279 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(268,a,535,a(flip),b,1278,a),flip(a)]. 1280 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [hyper(106,a,3,a(flip),b,1278,a),flip(a)]. 1281 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(71(a,1),1280(a,2,1,1))]. 1282 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(846,a,1281,a)]. 1283 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(654,a,1281,a)]. 1284 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(228,a,1282,a),flip(a)]. 1285 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1282(a,1),178(a,2)),flip(a)]. 1286 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1282(a,1),89(a,2,1))]. 1287 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1284(a,1),604(a,1,1,2))]. 1288 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(535(a,1),1279(a,1,1))]. 1289 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(115,a,1288,a),flip(a)]. 1290 (((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),1289(a,1,1)),flip(a)]. 1291 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1058,a,960,a)]. 1292 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1057,a,960,a),flip(a)]. 1293 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),960(a,1,1))]. 1294 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(106,a,1291,a(flip),b,749,a)]. 1295 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1291(a,1),42(a,1)),flip(a)]. 1296 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1291(a,2),1158(a,1,1)),flip(a)]. 1297 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(268,a,765,a(flip),b,1296,a),flip(a)]. 1298 T(x,x / (y * x)) = T(x,x / (x * y)). [para(164(a,1),1297(a,1,2))]. 1299 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(903(a,1),1294(a,1,1,2,1))]. 1300 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(108,a,963,a)]. 1301 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(94(a,1),966(a,1,2))]. 1302 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(22(a,2),1065(a,1,1,1))]. 1303 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(670,a,1069,a)]. 1304 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(938(a,1),1303(a,1,1))]. 1305 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(30,a,765,a,b,1304,a)]. 1306 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(169(a,1),1304(a,1,1,2)),flip(a)]. 1307 T(x,y \ ((z * y) / z)) = x. [para(1305(a,1),762(a,1,2))]. 1308 T(x,T(y,z) \ y) = x. [para(169(a,1),1307(a,1,2,2))]. 1309 (T(x,y) \ x) * z = z * (T(x,y) \ x). [para(1308(a,1),97(a,1,2))]. 1310 x / T(x,y) = T(x,y) \ x. [para(1308(a,1),217(a,1,2))]. 1312 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(104,a,1310,a,b,854,a)]. 1313 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(58,a,1084,a,b,1310,a)]. 1314 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(106,a,1310,a(flip),b,1084,a)]. 1316 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(58,a,1090,a,b,1312,a)]. 1318 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(58,a,1195,a,b,1316,a)]. 1319 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(217(a,1),1316(a,1,1)),flip(a)]. 1320 (x / T(x,y)) * z = z * (T(x,y) \ x). [para(1310(a,2),1309(a,1,1))]. 1321 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(116,a,1318,a)]. 1322 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(58,a,1083,a,b,1320,a)]. 1323 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(396,a,1321,a)]. 1324 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(150,a,1322,a)]. 1326 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(268,a,1309,a(flip),b,1306,a),flip(a)]. 1327 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1306(a,1),1324(a,1,1,2,1))]. 1328 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(679(a,1),1180(a,1,1))]. 1329 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(535(a,2),1268(a,2,2))]. 1330 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(6(a,1),1271(a,1,1,1,1,1)),flip(a)]. 1331 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(527(a,1),1271(a,1,1))]. 1332 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(535(a,1),1272(a,2,1))]. 1333 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(3(a,1),1275(a,1,2,2,1,2)),flip(a)]. 1334 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(3(a,1),1276(a,1,2,2,1,2)),flip(a)]. 1335 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(527(a,1),1277(a,1,1))]. 1336 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),1300(a,1,2,2,1))]. 1337 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(469,a,1336,a)]. 1338 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1336(a,1),469(a,1))]. 1339 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(268,a,994,a(flip),b,1337,a),flip(a)]. 1340 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(796(a,1),1337(a,1,2)),flip(a)]. 1341 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1337(a,2),1292(a,1,2))]. 1342 L(x,y,z \ ((y * z) / y)) = x. [para(1339(a,1),328(a,1,3))]. 1343 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(903(a,1),1339(a,2,2,1))]. 1344 L(x,y,T(z,y) \ z) = x. [para(169(a,1),1342(a,1,3,2))]. 1345 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(73(a,1),1341(a,1,2,2,1)),flip(a)]. 1346 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(93(a,2),1345(a,1,2))]. 1347 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(6(a,1),1346(a,2,2,2))]. 1348 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(436(a,1),1302(a,1,1))]. 1349 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1348(a,1),18(a,1,1)),flip(a)]. 1350 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(745(a,1),1349(a,1,1))]. 1351 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(7(a,1),1350(a,1,1)),flip(a)]. 1352 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(519(a,1),1351(a,2,2))]. 1353 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(7(a,1),1352(a,1,1))]. 1354 T(x,x * (y \ 1)) = T(x,y \ x). [para(99(a,1),1353(a,1,2)),flip(a)]. 1355 T(x,(1 / y) \ x) = T(x,x * y). [para(76(a,1),1354(a,1,2,2)),flip(a)]. 1356 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(6(a,1),1329(a,2,2,1,1))]. 1357 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(4(a,1),1330(a,1,2,1)),flip(a)]. 1358 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(527(a,1),1330(a,2,1))]. 1359 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(529(a,1),1357(a,1,1))]. 1360 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(494,a,1359,a)]. 1361 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(268,a,127,a(flip),b,1359,a),flip(a)]. 1362 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(108,a,1359,a)]. 1363 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(106,a,64,a(flip),b,1359,a)]. 1364 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(104,a,127,a(flip),b,1359,a)]. 1367 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1359(a,1),261(a,1,1))]. 1368 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(106,a,87,a(flip),b,1361,a),flip(a)]. 1369 ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(1362(a,1),1156(a,1,1,2,1)),flip(a)]. 1371 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1368(a,1),243(a,1,2))]. 1372 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(163(a,1),1363(a,2,2))]. 1373 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(150,a,1372,a)]. 1374 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(163(a,1),1372(a,1,1))]. 1375 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(116,a,1374,a)]. 1376 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1375(a,1),81(a,1,1))]. 1377 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(5(a,1),1373(a,1,1,2,1))]. 1378 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(345(a,1),1377(a,1,2))]. 1379 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(153,a,1378,a)]. 1380 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(268,a,816,a(flip),b,1331,a),flip(a)]. 1381 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(69(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1383 (x * L(x \ 1,y,z)) * x = x * (x * L(x \ 1,y,z)). [hyper(58,a,673,a(flip),b,1381,a),flip(a)]. 1384 T(x,x * L(x \ 1,y,z)) = x. [hyper(178,a,1383,a)]. 1385 T(x,x * ((y * x) \ y)) = x. [para(163(a,1),1384(a,1,2,2))]. 1386 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(345(a,1),1384(a,1,2,2))]. 1387 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1385(a,1),583(a,1,1,2))]. 1388 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(793(a,1),1385(a,1,2,2,1))]. 1389 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1386(a,1),582(a,1,2)),flip(a)]. 1390 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(49,a,1388,a)]. 1391 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(30,a,639,a,b,1389,a),flip(a)]. 1392 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(58,a,815,a(flip),b,1332,a)]. 1393 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(104,a,1332,a(flip),b,954,a),flip(a)]. 1394 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(2(a,1),1332(a,1,2,1,2))]. 1395 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1332(a,1,2,1)),flip(a)]. 1396 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1395(a,1,1,2,1))]. 1398 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(491,a,1396,a),flip(a)]. 1399 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(272,a,1396,a),flip(a)]. 1400 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(108,a,1396,a)]. 1401 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(104,a,127,a(flip),b,1396,a)]. 1402 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1399(a,1),208(a,1,1)),flip(b)]. 1403 T(1 * x,y) / R(x,z,u) = (1 / R(x,z,u)) * T(x,y). [para(1399(a,1),750(a,1,1,1))]. 1404 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1400(a,1),977(a,1,1)),flip(a)]. 1405 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1404(a,1),177(a,1,2)),flip(a)]. 1406 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1404(a,1),531(a,1,2))]. 1407 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(106,a,64,a(flip),b,1406,a)]. 1409 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [para(98(a,1),1407(a,1,2))]. 1410 (1 / R(x,y,z)) * T(x,u) = T(x,u) / R(x,y,z). [para(2(a,1),1403(a,1,1,1)),flip(a)]. 1411 T(x,y) \ (T(x,y) / R(x,z,u)) = T(1 / R(x,z,u),T(x,y)). [hyper(228,a,1410,a),flip(a)]. 1412 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(58,a,814,a(flip),b,1394,a)]. 1413 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(115,a,1335,a)]. 1414 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(6(a,1),1356(a,1,1,1))]. 1415 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(502,a,1414,a)]. 1416 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(492,a,1414,a)]. 1417 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(108,a,1414,a)]. 1418 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(104,a,65,a(flip),b,1414,a),flip(a)]. 1419 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(97(a,1),1414(a,1,2)),flip(a)]. 1420 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(108,a,1418,a)]. 1421 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1418(a,1),746(a,1,2,1,2))]. 1422 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1420(a,1),425(a,1,1))]. 1423 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(94(a,1),1415(a,1,2)),flip(a)]. 1424 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [para(1416(a,1),99(a,1,1)),flip(a)]. 1425 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(268,a,17,a,b,1423,a),flip(a)]. 1426 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(115,a,1423,a),flip(a)]. 1427 R(x,y,x) * T(y,x) = T(x * y,x). [para(17(a,2),1425(a,1,2))]. 1428 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(108,a,1427,a)]. 1429 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1256(a,1),1427(a,1,1))]. 1430 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(58,a,816,a(flip),b,1358,a)]. 1431 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(58,a,673,a(flip),b,1358,a),flip(a)]. 1432 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [hyper(228,a,1380,a),flip(a)]. 1434 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(178,a,1392,a),flip(a)]. 1435 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(147(a,1),1392(a,1,2,2,1,2))]. 1436 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),1434(a,1,2,1,2)),flip(a)]. 1437 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(104,a,1436,a,b,xx)]. 1438 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(201(a,1),1436(a,2,2,1,2))]. 1439 T(x,x * R(x \ 1,y,z)) = x. [hyper(49,a,1438,a)]. 1440 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1438(a,1),1175(a,2,2,1))]. 1441 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(76(a,1),1439(a,1,2,2,1))]. 1442 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(538(a,1),1439(a,1,2))]. 1443 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(902(a,1),1439(a,1,2))]. 1444 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1443(a,1),18(a,1,1)),flip(a)]. 1445 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1441(a,1),583(a,1,1,2))]. 1446 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1442(a,1),692(a,1,1))]. 1448 (x * R(y,z,u)) * T(y,x) != w | (y * x) * R(y,z,u) = w. [para(1405(a,1),231(a,1))]. 1449 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(2(a,1),1413(a,1,1,2,1,2)),flip(a)]. 1450 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(15(a,2),1449(a,1,1)),flip(a)]. 1451 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(181(a,1),1429(a,1,2))]. 1452 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(268,a,1234,a(flip),b,1451,a),flip(a)]. 1453 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(878(a,1),1452(a,1,1))]. 1454 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(1144,a,1453,a)]. 1455 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(98(a,1),1453(a,1,1))]. 1457 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(740,a,1454,a(flip))]. 1458 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(301,a,1457,a)]. 1459 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1457(a,1),942(a,1,1,1)),flip(a)]. 1460 K(x,1 / x) = K(x,x \ 1). [hyper(711,a,1458,a)]. 1461 K(x,x \ 1) = x * (1 / x). [hyper(375,a,1460,a),flip(a)]. 1462 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(268,a,1126,a,b,1460,a)]. 1463 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(58,a,558,a,b,1460,a)]. 1464 x \ K(x,x \ 1) = 1 / x. [hyper(104,a,1460,a(flip),b,216,a(flip))]. 1465 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1460(a,1),1075(a,1,2))]. 1466 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(104,a,1461,a,b,851,a)]. 1467 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(58,a,374,a,b,1461,a)]. 1469 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1461(a,2),681(a,1,1))]. 1470 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1461(a,2),999(a,1,2))]. 1471 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1461(a,2),1003(a,1,2))]. 1472 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1461(a,1),1142(a,2,1))]. 1473 x \ y != 1 / x | K(x,x \ 1) = y. [para(1464(a,1),42(a,1)),flip(a)]. 1474 x * (1 / x) != y | K(x,x \ 1) = y. [para(1464(a,1),213(a,1,2))]. 1476 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(76(a,1),1462(a,1,1,1)),flip(a)]. 1477 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(295,a,1465,a)]. 1478 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1465(a,1),94(a,1,2))]. 1479 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1465(a,1),95(a,2,2))]. 1480 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1465(a,1),420(a,1,1))]. 1481 K(x,1 / x) != y | K(x,x \ 1) = y. [para(216(a,2),1474(a,1))]. 1482 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(268,a,931,a(flip),b,1476,a),flip(a)]. 1483 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1481,a,1482,a)]. 1484 L(x,1 / y,K(y \ 1,y)) = x. [para(1482(a,1),328(a,1,3))]. 1485 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1463(a,1),1484(a,1,3))]. 1486 K(1 / x,x) = K(x \ 1,x). [para(76(a,1),1483(a,1,2))]. 1487 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1483(a,1),1266(a,1,2))]. 1488 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(73(a,1),1486(a,1,1)),flip(a)]. 1489 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(1455(a,1),13(a,2,1)),flip(a)]. 1490 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(29,a,87,a(flip),b,1472,a),flip(a)]. 1491 L(x,y,z) * K(x,x \ 1) != x * u | L(x,y,z) * (1 / x) = u. [para(1470(a,2),38(a,1))]. 1492 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1464(a,1),1459(a,1,2,1)),flip(a)]. 1493 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(352(a,1),1492(a,1,1)),flip(a)]. 1494 K(x,x \ 1) * L(x,y,z) != x * u | L(x,y,z) * (1 / x) = u. [para(191(a,2),1491(a,1))]. 1495 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(352(a,1),1493(a,1,2)),flip(a)]. 1496 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(73(a,1),1495(a,1,1)),flip(a)]. 1497 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(73(a,1),1496(a,1,2)),flip(a)]. 1498 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1497(a,1),949(a,1,2,1,2))]. 1499 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1494,a,1142,a(flip)),flip(a)]. 1500 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(268,a,975,a(flip),b,1499,a),flip(a)]. 1501 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(178,a,1430,a),flip(a)]. 1502 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),1501(a,1,2,1,2)),flip(a)]. 1503 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(104,a,1502,a,b,xx)]. 1504 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(4(a,1),1503(a,1,2,1,2,1)),flip(a)]. 1505 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1173(a,1),1504(a,1,1)),flip(a)]. 1506 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(58,a,1177,a(flip),b,1505,a),flip(a)]. 1507 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(669(a,1),742(a,1,1))]. 1508 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(1484(a,1),934(a,1,2)),flip(a)]. 1509 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(625,a,1508,a),flip(a)]. 1510 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(301,a,1508,a)]. 1511 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(275,a,1508,a),flip(a)]. 1512 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(1508(a,1),15(a,2,2)),flip(a)]. 1514 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(275,a,1509,a),flip(a)]. 1515 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(108,a,1509,a)]. 1516 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(97(a,1),1509(a,1,2)),flip(a)]. 1517 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(406(a,1),1509(a,1,2)),flip(a)]. 1518 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(1509(a,1),259(a,1,1))]. 1519 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(1516(a,1),176(a,1,2))]. 1520 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(471,a,1510,a),flip(a)]. 1521 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(964(a,1),1511(a,1,2)),flip(a)]. 1522 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(824(a,1),1520(a,1,2)),flip(a)]. 1523 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(1519(a,1),788(a,1,1,1,1))]. 1524 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(406(a,1),1238(a,1,1))]. 1525 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1120(a,1),1524(a,1,1))]. 1526 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1445(a,1),909(a,1,1))]. 1527 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(58,a,182,a(flip),b,1526,a)]. 1528 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(58,a,656,a(flip),b,967,a)]. 1529 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1386(a,1),1031(a,2,2,2))]. 1530 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(97(a,1),1241(a,1,2)),flip(a)]. 1531 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(947(a,2),1241(a,1,2)),flip(a)]. 1532 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1171,a,1530,a)]. 1533 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(77(a,1),1532(a,1,1))]. 1534 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(4(a,1),1533(a,2,2,1,2)),flip(a)]. 1535 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1534(a,1),395(a,1,2))]. 1536 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(3(a,1),1253(a,2,2,1,2,2))]. 1537 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1337(a,2),1536(a,1,2))]. 1538 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(17(a,2),1537(a,1,2,2,1,2)),flip(a)]. 1539 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1394(a,1),1412(a,1,2)),flip(a)]. 1540 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(902(a,1),1539(a,1,1)),flip(a)]. 1541 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(673(a,1),1431(a,1,1))]. 1542 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(341(a,1),1541(a,1,1,2,2)),flip(a)]. 1543 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(341(a,1),1542(a,1,2,2)),flip(a)]. 1544 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1461(a,2),1543(a,1,1,2))]. 1545 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1461(a,2),1544(a,2,2))]. 1546 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(108,a,1545,a)]. 1547 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(106,a,127,a(flip),b,1545,a)]. 1548 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1546(a,1),977(a,1,1)),flip(a)]. 1549 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(540(a,1),1440(a,2,2))]. 1550 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(540(a,1),1549(a,1,1,2))]. 1551 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(164(a,1),1550(a,1,1,2))]. 1552 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(164(a,1),1551(a,2,2))]. 1553 T(x,x * (y / (x * y))) = x. [hyper(49,a,1552,a)]. 1554 T(x / y,(x / y) * (y / x)) = x / y. [para(7(a,1),1553(a,1,2,2,2))]. 1555 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1554(a,1),181(a,1,1)),flip(a)]. 1556 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(268,a,99,a(flip),b,1555,a),flip(a)]. 1557 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1556(a,1),1154(a,2,1,2))]. 1558 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(7(a,1),1528(a,1,2,1,2,2)),flip(a)]. 1559 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(656(a,1),1528(a,2,1))]. 1560 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(268,a,210,a(flip),b,1529,a),flip(a)]. 1562 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1560(a,1),789(a,1,1)),flip(a)]. 1563 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(58,a,1262,a(flip),b,1562,a)]. 1564 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(370,a,1563,a)]. 1565 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(4(a,1),1563(a,1,1,2))]. 1566 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1564(a,1),1333(a,1,2)),flip(a)]. 1567 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(4(a,1),1565(a,2,2))]. 1568 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(370,a,1567,a)]. 1569 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(153,a,1567,a)]. 1570 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(117,a,1567,a)]. 1571 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1568(a,1),347(a,1,1)),flip(a)]. 1572 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1569(a,1),804(a,2,1,1,2)),flip(a)]. 1573 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(163(a,2),1570(a,1,1,1)),flip(a)]. 1574 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(106,a,163,a,b,1573,a(flip))]. 1575 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(268,a,1461,a,b,1566,a),flip(a)]. 1576 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(117,a,1575,a),flip(a)]. 1577 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(143(a,1),1531(a,1,1,2,1)),flip(a)]. 1578 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(103,a,5,a(flip),b,1577,a),flip(a)]. 1579 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [hyper(268,a,129,a(flip),b,1557,a),flip(a)]. 1581 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(268,a,69,a(flip),b,1579,a),flip(a)]. 1583 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1581(a,1),789(a,1,1)),flip(a)]. 1584 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(50,a,1583,a)]. 1585 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(6(a,1),1584(a,1,1,2))]. 1586 K(1 / x,(y / (x * y)) * x) = 1. [para(6(a,1),1585(a,1,2,2))]. 1587 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(51,a,1586,a)]. 1588 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1274,a,1587,a)]. 1590 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(164(a,2),1588(a,1,3))]. 1591 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1590(a,1),343(a,1,2))]. 1592 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1285,a,1591,a)]. 1593 T(1 / (1 / x),y / (x * y)) = x. [para(164(a,1),1592(a,1,2))]. 1594 T(x,y / (x * y)) = T(x,x \ 1). [para(1593(a,1),876(a,1,1)),flip(a)]. 1595 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(268,a,98,a(flip),b,1594,a),flip(a)]. 1596 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(272,a,1558,a),flip(a)]. 1597 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(58,a,962,a(flip),b,1596,a)]. 1598 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(454(a,2),1597(a,2,1,2,1)),flip(a)]. 1599 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(272,a,1559,a),flip(a)]. 1600 (x \ (y * z)) * ((u * ((x \ (y * z)) \ z)) / u) = x \ ((y * ((u * (y \ x)) / u)) * z). [hyper(104,a,1559,a(flip),b,1253,a),flip(a)]. 1601 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(2(a,1),1559(a,1,2,1,2,2))]. 1602 (x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y). [hyper(58,a,1538,a(flip),b,1601,a),flip(a)]. 1603 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(58,a,961,a(flip),b,1601,a)]. 1604 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(178,a,1602,a(flip))]. 1605 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(268,a,1337,a(flip),b,1604,a)]. 1606 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(5(a,1),1605(a,1,2,1)),flip(a)]. 1607 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(5(a,1),1605(a,2,1,2,1))]. 1608 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(854(a,1),1607(a,1,2,1))]. 1610 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(268,a,1461,a,b,1606,a),flip(a)]. 1611 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1340(a,1),1610(a,1,1)),flip(a)]. 1613 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(268,a,126,a(flip),b,1611,a),flip(a)]. 1614 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(345(a,1),1009(a,1,2,2))]. 1615 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(117,a,1614,a)]. 1616 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1615(a,1),743(a,1,2,1))]. 1617 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1615(a,1),1337(a,2,2,1)),flip(a)]. 1618 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(268,a,413,a(flip),b,1098,a),flip(a)]. 1619 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1618(a,1),938(a,1,1)),flip(a)]. 1620 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1618(a,1),1201(a,1,2)),flip(a)]. 1621 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1522(a,1),1248(a,1,1))]. 1622 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(268,a,1306,a(flip),b,1327,a),flip(a)]. 1623 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(1309(a,1),1622(a,1,1,2,1))]. 1624 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(268,a,1309,a(flip),b,1623,a),flip(a)]. 1625 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(1485(a,1),1480(a,1,2)),flip(a)]. 1626 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1145,a,1625,a),flip(a)]. 1627 K(x,x \ 1) * y != x * z | (1 / (1 / x)) * z = y. [para(1625(a,1),38(a,1)),flip(a)]. 1628 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(58,a,1541,a(flip),b,1621,a)]. 1630 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(255(a,2),1628(a,1,1))]. 1631 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(13(a,2),598(a,2,1,1))]. 1632 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(97(a,1),996(a,1,2,1,1)),flip(a)]. 1633 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x. [hyper(268,a,1394,a(flip),b,1632,a),flip(a)]. 1634 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(178,a,1633,a),flip(a)]. 1635 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(58,a,642,a,b,1634,a),flip(a)]. 1636 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(749(a,1),1635(a,2,1,2))]. 1637 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(769(a,1),1636(a,1,1,2)),flip(a)]. 1638 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(30,a,1198,a(flip),b,1637,a),flip(a)]. 1640 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(767,a,1638,a)]. 1641 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(886(a,1),1640(a,1,1))]. 1642 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(1640(a,1),1578(a,1,2,2))]. 1644 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(106,a,1642,a(flip),b,764,a(flip)),flip(a)]. 1646 (x \ 1) \ (T(x,y) \ 1) != z | (x \ T(x,y)) \ 1 = z. [para(1644(a,2),767(a,1))]. 1647 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(76(a,1),1641(a,1,2))]. 1648 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [hyper(153,a,1647,a)]. 1649 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(752(a,2),1647(a,1,1))]. 1650 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(559(a,1),1042(a,1,1)),flip(a)]. 1651 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(17(a,2),1214(a,1,2,1,1)),flip(a)]. 1652 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(681(a,1),1651(a,1,2))]. 1653 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1240,a,1652,a),flip(a)]. 1654 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(4(a,1),1653(a,1,2,1,2)),flip(a)]. 1655 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(6(a,1),1654(a,1,1,2,1,2)),flip(a)]. 1656 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(5(a,1),1251(a,1,2,2)),flip(a)]. 1657 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(5(a,1),1656(a,1,3,2)),flip(a)]. 1659 x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w). [hyper(104,a,816,a(flip),b,1254,a(flip))]. 1660 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(614,a,1376,a)]. 1661 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(268,a,17,a,b,1393,a),flip(a)]. 1662 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(538(a,1),1393(a,2,2,1))]. 1663 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1661(a,1,1))]. 1664 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1663(a,1,2,1,1))]. 1665 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(4(a,1),1664(a,2,1,2,1))]. 1666 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(5(a,1),1421(a,1,2,1)),flip(a)]. 1668 T(x,y) \ (R(x,z,u) \ T(x,y)) != w | R(x,z,u) \ 1 = w. [para(1666(a,1),214(a,1,2)),flip(b)]. 1669 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(4(a,1),1572(a,1,1,1))]. 1670 T(K(x,(y * x) \ y),z) = x \ T(x,(y * x) \ y). [hyper(104,a,1669,a(flip),b,283,a),flip(a)]. 1672 T(K(x,(y * x) \ y),z) = x \ T(x,L(x \ 1,x,y)). [para(163(a,2),1670(a,2,2,2))]. 1673 x \ T(x,L(x \ 1,x,y)) != z | T(K(x,(y * x) \ y),u) = z. [para(1672(a,1),367(a,1))]. 1674 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1601(a,1),1603(a,1,2)),flip(a)]. 1675 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1337(a,2),1674(a,1,1))]. 1676 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(58,a,1432,a(flip),b,1659,a)]. 1677 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(268,a,775,a(flip),b,1676,a),flip(a)]. 1678 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(6(a,1),1676(a,1,1,2,1,2)),flip(a)]. 1679 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(169(a,1),1676(a,1,1,2,1,2)),flip(a)]. 1680 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(1517(a,2),1676(a,1,1))]. 1681 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(201(a,1),1679(a,1,2,1,2))]. 1682 T(x \ y,z) * L(T(x \ y,z) \ T(u,z),x \ y,x) = T((x \ y) * (y \ (x * u)),z). [para(426(a,1),1679(a,2,1,2))]. 1683 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(887(a,1),1681(a,2,1,2))]. 1684 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(861(a,1),1683(a,1,2))]. 1685 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(197(a,1),1684(a,2,1,2))]. 1686 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(29,a,1608,a,b,1685,a),flip(a)]. 1687 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1461(a,2),1685(a,2,1))]. 1688 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(268,a,1314,a(flip),b,1686,a),flip(a)]. 1689 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1686(a,1),890(a,1,1))]. 1692 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(104,a,126,a(flip),b,1687,a)]. 1693 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(268,a,1688,a(flip),b,1692,a),flip(a)]. 1695 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(1473,a,1693,a)]. 1696 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(58,a,1466,a(flip),b,1693,a)]. 1697 K(T(x,y),T(x,y) \ 1) * (T(x,y) \ z) = T(x,y) \ (K(x,x \ 1) * z). [para(1695(a,1),1143(a,1,2,1)),flip(a)]. 1698 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(388,a,1689,a),flip(a)]. 1699 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(268,a,858,a(flip),b,1698,a),flip(a)]. 1700 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(268,a,1127,a(flip),b,1697,a),flip(a)]. 1701 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(268,a,413,a(flip),b,1099,a),flip(a)]. 1702 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1701(a,2,2))]. 1703 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1702(a,1),1040(a,1,1)),flip(a)]. 1704 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(679(a,1),1227(a,1,1)),flip(a)]. 1705 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(97(a,1),1704(a,1,2))]. 1706 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(58,a,1003,a(flip),b,1660,a)]. 1707 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(613(a,1),1706(a,1,2)),flip(a)]. 1708 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(653(a,1),993(a,1,2)),flip(a)]. 1709 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(58,a,1525,a(flip),b,1708,a),flip(a)]. 1710 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(68(a,1),1223(a,1,1)),flip(a)]. 1711 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [hyper(472,a,1710,a)]. 1713 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(4(a,1),1711(a,1,1,1)),flip(a)]. 1714 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1713(a,2),39(a,1))]. 1715 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(801(a,2),1390(a,2,2,1))]. 1716 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1461(a,2),1469(a,1,2,1,1))]. 1717 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1483(a,1),1500(a,1,1))]. 1718 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(824(a,1),1717(a,1,2))]. 1719 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(58,a,1630,a(flip),b,1718,a)]. 1720 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(268,a,1574,a(flip),b,1719,a),flip(a)]. 1721 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(30,a,1621,a,b,1720,a(flip))]. 1722 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(268,a,163,a(flip),b,1721,a)]. 1723 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(163(a,1),1722(a,2,2,2)),flip(a)]. 1724 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(103,a,1723,a(flip),b,1376,a),flip(a)]. 1725 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(104,a,1724,a(flip),b,1707,a(flip)),flip(a)]. 1726 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(268,a,98,a,b,1725,a),flip(a)]. 1727 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(5(a,1),1725(a,1,2,1))]. 1728 T(1 / (1 / x),(y * x) \ y) = x. [hyper(877,a,1726,a(flip))]. 1729 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(163(a,2),1726(a,1,2))]. 1730 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(223,a,1728,a)]. 1731 x \ T(x,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(104,a,1729,a,b,1125,a)]. 1732 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(76(a,1),1727(a,1,2))]. 1733 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1727(a,1),1030(a,1,2)),flip(a)]. 1734 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [hyper(1673,a,1731,a)]. 1735 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(310,a,1734,a)]. 1737 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(5(a,1),1735(a,1,2,1)),flip(a)]. 1738 K(x,y \ (y / x)) = K(x,x \ 1). [para(7(a,1),1735(a,1,2,1))]. 1739 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(1735(a,2),400(a,1,1))]. 1740 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(58,a,558,a,b,1738,a)]. 1741 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(4(a,1),1737(a,2,2))]. 1742 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(58,a,1387,a(flip),b,1730,a)]. 1744 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(5(a,1),1742(a,1,2,1))]. 1745 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(58,a,1391,a(flip),b,1744,a)]. 1746 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(4(a,1),1744(a,1,2))]. 1747 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(1744(a,1),1576(a,1,2)),flip(a)]. 1748 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(1737(a,1),1747(a,1,2))]. 1749 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(1740(a,1),1748(a,1,2))]. 1750 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(58,a,1571,a(flip),b,1746,a)]. 1752 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(73(a,1),1750(a,1,1))]. 1753 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(902(a,1),1540(a,1,2,1)),flip(a)]. 1754 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(104,a,65,a(flip),b,1753,a),flip(a)]. 1755 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(7(a,1),1599(a,2,2,1,2,1))]. 1756 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(115,a,1755,a)]. 1757 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(2(a,1),1756(a,1,1,2,1,2,2)),flip(a)]. 1758 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(268,a,17,a,b,1600,a),flip(a)]. 1759 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(17(a,2),1758(a,1,1))]. 1760 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(17(a,2),1759(a,1,2,1,2,1))]. 1761 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1618(a,1),1619(a,1,2)),flip(a)]. 1762 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(268,a,4,a(flip),b,1761,a),flip(a)]. 1764 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(747(a,1),1762(a,1,1,2)),flip(a)]. 1765 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1017(a,2),1762(a,1,1,2)),flip(a)]. 1766 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(58,a,747,a(flip),b,1764,a),flip(a)]. 1767 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1019,a,1765,a),flip(a)]. 1768 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(314,a,1767,a),flip(a)]. 1769 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(102,a,405,a,b,1620,a),flip(a)]. 1770 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1618(a,1),1769(a,1,1)),flip(a)]. 1771 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1017(a,2),1770(a,1,1)),flip(a)]. 1772 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1017(a,2),1771(a,1,1,2)),flip(a)]. 1773 L(K(x,y),y,1 / y) = K(x,y). [hyper(268,a,220,a(flip),b,1772,a),flip(a)]. 1775 (1 / x) \ K(y,x) = x * K(y,x). [para(1773(a,1),376(a,1,2))]. 1776 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(117,a,1775,a)]. 1778 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(73(a,1),1775(a,1,1)),flip(a)]. 1779 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1702(a,1),1703(a,1,2,1)),flip(a)]. 1780 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(766(a,1),1779(a,1,1,2))]. 1781 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(766(a,1),1780(a,2,2,1,2))]. 1782 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(1781(a,2),38(a,1))]. 1783 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(751(a,1),1716(a,2,2))]. 1784 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(268,a,1170,a(flip),b,1783,a),flip(a)]. 1785 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(142(a,1),1783(a,2,2,1,1))]. 1787 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(4(a,1),1784(a,1,2,1)),flip(a)]. 1789 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(1787(a,2),1146(a,1,2))]. 1791 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(232,a,1789,a)]. 1792 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1477(a,1),1785(a,1,2,1))]. 1794 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(845,a,1029,a),flip(a)]. 1795 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(679(a,1),1794(a,2,2))]. 1796 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(416,a,1795,a)]. 1797 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(268,a,752,a(flip),b,1796,a)]. 1798 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(747(a,1),1796(a,1,1))]. 1799 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(342(a,1),1798(a,2,1,2))]. 1800 L(T(K(x,(y * x) \ y),z),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(1670(a,2),1799(a,1,1))]. 1801 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(1734(a,1),1800(a,1,1))]. 1802 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(1801(a,2),374(a,1,1)),flip(a)]. 1804 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(58,a,1741,a(flip),b,1802,a)]. 1805 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1081(a,1),1155(a,2,1))]. 1806 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1182(a,1),1805(a,2,1,1))]. 1807 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(268,a,15,a,b,1806,a)]. 1808 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(268,a,752,a(flip),b,1807,a)]. 1809 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(69(a,1),1807(a,2,1,2))]. 1810 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(906(a,1),1807(a,2,1,2))]. 1811 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(232,a,1808,a),flip(a)]. 1813 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(1487(a,1),1808(a,1,1)),flip(a)]. 1814 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(983(a,1),1677(a,1,1))]. 1815 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(58,a,182,a(flip),b,1814,a)]. 1816 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(4(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(104,a,980,a(flip),b,1816,a)]. 1818 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(1696(a,1),1816(a,1,2)),flip(a)]. 1819 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1347(a,1),1817(a,1,1,2)),flip(a)]. 1820 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(4(a,1),1819(a,2,1))]. 1822 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1695(a,1),1700(a,1,1))]. 1823 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(98(a,1),1822(a,1,2,1)),flip(a)]. 1825 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(330,a,1823,a),flip(a)]. 1826 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(301,a,1825,a)]. 1829 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(674(a,1),1007(a,1,2)),flip(a)]. 1830 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(268,a,1017,a,b,1021,a),flip(a)]. 1831 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(1830(a,1),99(a,1,1)),flip(a)]. 1833 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(268,a,126,a(flip),b,1831,a),flip(a)]. 1834 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1797(a,1),1188(a,1,1))]. 1835 T(L((x \ 1) * x,y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(97(a,1),1834(a,1,1,1))]. 1836 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(255(a,2),1835(a,1,1,1))]. 1837 T(L(K(x \ 1,x),y,z),u) = K(x \ (L(x,y,z) \ x),x). [hyper(58,a,542,a,b,1836,a)]. 1838 L(T(K(x \ 1,x),y),z,u) = K(x \ (L(x,z,u) \ x),x). [hyper(58,a,20,a,b,1837,a)]. 1840 L(T(K(x \ 1,x),y),z,u) = K(L(x,z,u) \ 1,x). [para(1008(a,1),1838(a,2,1))]. 1841 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(96(a,1),1840(a,1,1))]. 1842 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(255(a,2),1269(a,1,2,1,1))]. 1843 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(255(a,2),1270(a,1,2,1,1))]. 1844 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1257(a,1),1287(a,1,1))]. 1845 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(878(a,1),1844(a,1,1,1))]. 1847 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1284(a,1),1845(a,2,1))]. 1849 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(1847(a,2),560(a,1))]. 1850 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(82(a,1),1662(a,1,1))]. 1851 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(82(a,1),1850(a,1,2,1,1))]. 1852 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(268,a,1392,a(flip),b,1842,a),flip(a)]. 1853 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(268,a,1430,a(flip),b,1843,a),flip(a)]. 1854 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(827(a,1),1852(a,2,1))]. 1855 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(826(a,1),1853(a,2,1))]. 1856 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(268,a,443,a(flip),b,644,a),flip(a)]. 1857 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(58,a,814,a(flip),b,1856,a)]. 1858 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(691(a,1),1857(a,2,1,1))]. 1859 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(898(a,1),821(a,1,1,2))]. 1861 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(22(a,2),1149(a,2,2,2))]. 1862 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(17(a,2),1435(a,1,2,2,1)),flip(a)]. 1863 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(177(a,1),1862(a,2,2))]. 1864 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(533(a,1),1861(a,2,2))]. 1865 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(313(a,1),1864(a,2,2))]. 1866 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(4(a,1),1498(a,1,2,1)),flip(a)]. 1867 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(58,a,1390,a(flip),b,1715,a),flip(a)]. 1868 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1649(a,1),1867(a,1,2))]. 1869 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(58,a,1650,a(flip),b,1868,a),flip(a)]. 1870 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1409(a,1),1343(a,1,2,1))]. 1871 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(6(a,1),1870(a,1,2)),flip(a)]. 1872 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [hyper(117,a,1871,a),flip(a)]. 1874 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(268,a,1778,a(flip),b,1872,a),flip(a)]. 1875 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(1872(a,2),214(a,1,2)),flip(b)]. 1876 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(117,a,1874,a(flip))]. 1877 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1648(a,1),892(a,1,1,2))]. 1878 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(792(a,1),1877(a,1,1,2)),flip(a)]. 1879 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(797(a,1),1878(a,2,1))]. 1880 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(559(a,1),1879(a,1,1))]. 1881 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(268,a,1613,a,b,1880,a),flip(a)]. 1882 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(58,a,1869,a,b,1881,a)]. 1883 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(29,a,1461,a(flip),b,1882,a),flip(a)]. 1885 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [hyper(117,a,1883,a)]. 1886 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(766(a,1),1885(a,1,1))]. 1887 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(58,a,1818,a,b,1886,a)]. 1889 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(1887(a,1),524(a,2,1))]. 1890 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(5(a,1),1889(a,1,2,2,2))]. 1892 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(872(a,1),1890(a,1,2,2)),flip(a)]. 1893 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(764(a,1),1892(a,2,2))]. 1895 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(268,a,406,a(flip),b,1893,a),flip(a)]. 1896 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(275,a,1895,a),flip(a)]. 1898 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(268,a,794,a(flip),b,1896,a),flip(a)]. 1899 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1347(a,1),1898(a,1,1,2))]. 1900 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(4(a,1),1899(a,1,1)),flip(a)]. 1902 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1347(a,1),1900(a,1,2)),flip(a)]. 1903 L(K(x,y),x \ 1,x) = K(x,y). [hyper(268,a,4,a(flip),b,1902,a),flip(a)]. 1906 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(104,a,1903,a(flip),b,406,a),flip(a)]. 1907 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(280,a,1906,a)]. 1908 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(1906(a,1),39(a,1))]. 1909 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(1876(a,1),1299(a,1,1)),flip(a)]. 1910 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(268,a,677,a(flip),b,1909,a),flip(a)]. 1912 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(58,a,1298,a,b,1910,a)]. 1913 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(58,a,22,a,b,1912,a)]. 1914 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1595(a,1),1913(a,1,1)),flip(a)]. 1915 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(104,a,842,a,b,1914,a)]. 1917 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(58,a,882,a(flip),b,1915,a)]. 1918 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(268,a,1876,a,b,1917,a)]. 1919 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1527(a,2),1918(a,1,2))]. 1920 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(652(a,1),1616(a,2,1))]. 1921 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(268,a,1829,a(flip),b,1920,a),flip(a)]. 1922 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1379(a,1),1617(a,2,2,1))]. 1923 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(6(a,1),1922(a,2,2))]. 1924 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(58,a,1921,a(flip),b,1923,a)]. 1926 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(117,a,1924,a)]. 1927 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(268,a,1745,a(flip),b,1926,a),flip(a)]. 1928 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(29,a,1114,a,b,1927,a)]. 1929 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(268,a,557,a(flip),b,1928,a),flip(a)]. 1930 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1928(a,1),1733(a,1,2))]. 1931 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(58,a,1801,a,b,1929,a)]. 1932 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(1929(a,1),1035(a,1,2))]. 1933 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(268,a,1735,a(flip),b,1931,a),flip(a)]. 1934 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(1931(a,1),1804(a,2,1)),flip(a)]. 1936 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1483(a,1),1933(a,1,1))]. 1937 K((x * y) \ x,y) = K(y \ 1,y). [hyper(58,a,1739,a(flip),b,1934,a),flip(a)]. 1939 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(97(a,1),1937(a,1,1,1)),flip(a)]. 1940 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(17(a,1),1939(a,2,2)),flip(a)]. 1941 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(268,a,1483,a(flip),b,1936,a),flip(a)]. 1943 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(1941(a,1),936(a,1,2)),flip(a)]. 1944 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(106,a,6,a(flip),b,1943,a),flip(a)]. 1946 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(116,a,1944,a)]. 1947 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(58,a,1109,a,b,1946,a)]. 1948 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(6(a,1),1946(a,1,1)),flip(a)]. 1949 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(364,a,1947,a),flip(a)]. 1950 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1249,a,1948,a)]. 1951 R(x,1 / y,K(y \ 1,y)) = x. [hyper(933,a,1948,a)]. 1952 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1463(a,1),1951(a,1,3))]. 1953 R(x / (1 / y),y \ 1,y) = x * y. [hyper(271,a,1950,a),flip(a)]. 1954 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(116,a,1950,a)]. 1955 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(58,a,1479,a(flip),b,1952,a)]. 1956 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(1952(a,1),1478(a,1,1)),flip(a)]. 1957 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(1947(a,1),1953(a,1,1))]. 1959 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(58,a,1547,a(flip),b,1955,a)]. 1960 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(58,a,1749,a(flip),b,1959,a)]. 1961 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(104,a,1959,a(flip),b,1749,a(flip)),flip(a)]. 1962 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(73(a,1),1960(a,1,2,2,2,2)),flip(a)]. 1963 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(150,a,1961,a)]. 1964 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(73(a,1),1961(a,2,2,2,2))]. 1965 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [hyper(150,a,1962,a)]. 1966 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(4(a,1),1962(a,2,2,2,2))]. 1967 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(151(a,1),1963(a,1,1,2,2)),flip(a)]. 1968 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(1748(a,2),1965(a,1,1))]. 1969 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(1752(a,2),1966(a,1,2))]. 1970 x / L(y,y \ 1,x) = x * (1 / y). [para(73(a,1),1969(a,2,2,2))]. 1971 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(1970(a,2),557(a,1,1,2))]. 1972 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(58,a,1796,a,b,1971,a)]. 1973 K(1 / x,y) = K(x \ 1,y). [hyper(58,a,839,a(flip),b,1972,a),flip(a)]. 1974 K(1 / (1 / x),y) = K(x,y). [hyper(268,a,558,a(flip),b,1973,a),flip(a)]. 1975 K((x \ 1) \ 1,y) = K(x,y). [para(73(a,1),1973(a,1,1)),flip(a)]. 1980 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(1967(a,1),152(a,1,2,1))]. 1981 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(1732(a,2),1980(a,1,2))]. 1982 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(58,a,806,a,b,1981,a)]. 1983 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(1982(a,1),1247(a,1,1))]. 1984 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(268,a,191,a,b,1983,a),flip(a)]. 1985 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(6(a,1),1983(a,1,1)),flip(a)]. 1986 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(547(a,1),1984(a,1,1)),flip(a)]. 1987 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(30,a,450,a,b,1985,a),flip(a)]. 1988 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [hyper(268,a,1954,a,b,1987,a),flip(a)]. 1989 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1162(a,1),1957(a,2,1))]. 1990 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(1735(a,1),1932(a,1,2))]. 1991 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1725(a,1),1990(a,2,2))]. 1993 (x * K(y,y \ 1)) / ((y \ 1) \ 1) = x / y. [hyper(494,a,1991,a)]. 1994 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(272,a,1991,a),flip(a)]. 1995 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(58,a,1545,a,b,1991,a)]. 1997 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(566,a,1993,a)]. 1998 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(268,a,265,a,b,1995,a),flip(a)]. 1999 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(30,a,1988,a(flip),b,1995,a),flip(a)]. 2001 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(473,a,1998,a)]. 2002 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(280,a,1999,a)]. 2003 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(272,a,1999,a),flip(a)]. 2004 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(58,a,1791,a(flip),b,2001,a)]. 2005 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(58,a,1943,a(flip),b,2003,a)]. 2006 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(300,a,2005,a)]. 2007 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(281,a,2005,a),flip(a)]. 2009 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(58,a,549,a(flip),b,2006,a)]. 2010 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(29,a,1508,a,b,2006,a),flip(a)]. 2011 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(104,a,2006,a(flip),b,282,a)]. 2012 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(30,a,549,a(flip),b,2006,a(flip))]. 2013 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(29,a,282,a,b,2006,a(flip))]. 2014 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2006(a,1),38(a,1)),flip(a)]. 2015 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(1826(a,1),2006(a,1,2))]. 2016 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(1956(a,1),2006(a,1,2))]. 2017 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(104,a,2007,a(flip),b,549,a)]. 2019 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(30,a,1510,a,b,2009,a),flip(a)]. 2020 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(104,a,2009,a(flip),b,1520,a),flip(a)]. 2021 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2009(a,1),39(a,1)),flip(a)]. 2022 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2009(a,1),95(a,2,1))]. 2023 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2009(a,1),292(a,2))]. 2025 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [para(1625(a,1),2009(a,1,1))]. 2026 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1792(a,1),2009(a,1,1))]. 2027 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2011(a,1),1854(a,1,2,1))]. 2028 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2011(a,1),1855(a,1,2,1))]. 2029 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(104,a,2012,a(flip),b,1131,a),flip(a)]. 2030 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2012(a,1),1626(a,1,2)),flip(a)]. 2031 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(1627,a,2013,a),flip(a)]. 2032 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2013(a,1),1626(a,1,2)),flip(a)]. 2033 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(268,a,1510,a(flip),b,2017,a),flip(a)]. 2034 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(58,a,1139,a,b,2017,a)]. 2037 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(466,a,2015,a),flip(a)]. 2038 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(29,a,1490,a,b,2019,a)]. 2040 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2019(a,1),419(a,1,2,2))]. 2041 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(825,a,2038,a)]. 2042 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(73(a,1),2041(a,1,2)),flip(a)]. 2043 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(1928(a,1),2025(a,1,2))]. 2044 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(268,a,2025,a,b,2030,a)]. 2045 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(275,a,2031,a),flip(a)]. 2047 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(1323(a,1),2032(a,1,2,1))]. 2048 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2033(a,1),404(a,1,2,1))]. 2049 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(104,a,191,a,b,2034,a)]. 2050 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(268,a,191,a(flip),b,2037,a),flip(a)]. 2051 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(117,a,2037,a)]. 2052 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(514,a,2042,a),flip(a)]. 2053 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(268,a,2016,a(flip),b,2045,a),flip(a)]. 2054 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1488(a,1),2049(a,1,2,1))]. 2055 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2006(a,1),2051(a,1,2)),flip(a)]. 2056 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [hyper(268,a,1138,a,b,2055,a)]. 2057 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(76(a,1),2055(a,2,1,1))]. 2058 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2050(a,1),2052(a,1,1))]. 2059 R(x,y,K(x \ 1,x)) = x. [hyper(444,a,2044,a)]. 2060 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(854(a,1),2044(a,1,1)),flip(a)]. 2061 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2059(a,1),22(a,2,1))]. 2062 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2061(a,1),371(a,1,1)),flip(a)]. 2063 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(17(a,2),2053(a,1,2))]. 2064 T(x,1 / (1 / y)) = T(x,y). [hyper(354,a,2063,a),flip(a)]. 2066 T(x,(y \ 1) \ 1) = T(x,y). [para(151(a,1),2064(a,1,2)),flip(a)]. 2067 T(x,T(y,y \ 1)) = T(x,y). [para(98(a,2),2066(a,1,2))]. 2068 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2067(a,1),97(a,1,2))]. 2069 R(x,y,K(x,x \ 1)) = x. [hyper(444,a,2056,a)]. 2070 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2069(a,1),22(a,2,1))]. 2071 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(58,a,1548,a(flip),b,2070,a),flip(a)]. 2073 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2010(a,1),2071(a,1,2))]. 2074 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(1520(a,2),2058(a,1,1))]. 2075 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(268,a,1323,a(flip),b,1940,a),flip(a)]. 2077 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2075(a,1),1930(a,1,2)),flip(a)]. 2078 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(2075(a,1),1968(a,1,1,2))]. 2079 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(774(a,1),2026(a,1,1))]. 2080 T(x,y) * K(T(x,z) \ 1,T(x,z)) = T(1 / (1 / x),y). [para(1323(a,2),2079(a,1,2))]. 2081 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1483(a,1),2057(a,1,2,2))]. 2082 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(483,a,2081,a)]. 2083 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(104,a,5,a(flip),b,2082,a),flip(a)]. 2085 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2023,a,2083,a)]. 2086 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(2025(a,1),2078(a,1,1)),flip(a)]. 2087 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [hyper(150,a,2086,a)]. 2088 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(73(a,1),2087(a,1,1,1,1,2)),flip(a)]. 2089 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(150,a,2088,a)]. 2090 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(1509(a,1),2089(a,1,1,1,1))]. 2091 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(1115,a,2080,a)]. 2092 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [hyper(150,a,2091,a)]. 2093 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2091(a,1),2047(a,2,1))]. 2094 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(73(a,1),2092(a,1,1,1,2)),flip(a)]. 2095 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [hyper(150,a,2094,a)]. 2096 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2094(a,1),1973(a,1,1))]. 2097 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [para(73(a,1),2095(a,1,1,1,1)),flip(a)]. 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(99(a,1),2097(a,2,1,1))]. 2099 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2097(a,2),1994(a,1,2))]. 2100 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(223,a,2098,a)]. 2101 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),97(a,1,2)),flip(a)]. 2102 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(4(a,1),2100(a,1,1,2,1,1))]. 2103 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2100(a,1),207(a,1,1))]. 2104 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(95(a,2),2101(a,1,1,1,1))]. 2105 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(104,a,5,a(flip),b,2093,a),flip(a)]. 2106 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2014,a,2105,a)]. 2109 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(1740(a,1),2043(a,1,2))]. 2110 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2062(a,1),2060(a,1,2)),flip(a)]. 2111 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(268,a,1118,a(flip),b,2110,a),flip(a)]. 2112 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2111(a,1),2081(a,1,2))]. 2113 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(1197(a,1),2112(a,1,2))]. 2114 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(104,a,1699,a(flip),b,2113,a(flip))]. 2115 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(1646,a,2114,a)]. 2116 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(58,a,1644,a(flip),b,2114,a)]. 2117 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(22(a,2),2115(a,1,1,2))]. 2118 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(99(a,1),2115(a,1,1,2)),flip(a)]. 2119 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(800(a,1),2115(a,1,1))]. 2120 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1347(a,1),2115(a,1,1,2)),flip(a)]. 2121 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(1305(a,1),2116(a,1,2)),flip(a)]. 2122 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(99(a,1),2118(a,1,1)),flip(a)]. 2123 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(4(a,1),2122(a,1,1,2)),flip(a)]. 2124 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1022(a,2),2119(a,1,1)),flip(a)]. 2125 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1023(a,1),2119(a,1,1)),flip(a)]. 2126 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(4(a,1),2123(a,1,1)),flip(a)]. 2127 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(153,a,2126,a)]. 2128 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(58,a,2121,a,b,2127,a)]. 2129 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(169(a,1),2128(a,2,1))]. 2130 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(106,a,2129,a(flip),b,1313,a),flip(a)]. 2131 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(1326(a,1),2129(a,1,1))]. 2132 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(153,a,2131,a)]. 2133 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2131(a,1),1624(a,1,1,2))]. 2134 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1018(a,1),2132(a,1,2,2))]. 2135 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(1782,a,2133,a)]. 2136 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [hyper(117,a,2135,a)]. 2137 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(58,a,1309,a,b,2136,a)]. 2138 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(4(a,1),2120(a,2,1))]. 2140 T(x,K(y,z) \ 1) = x. [para(2138(a,1),1308(a,1,2))]. 2141 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2138(a,1),1820(a,1,2))]. 2142 (K(x,y) \ 1) * z = z * (K(x,y) \ 1). [hyper(1714,a,2140,a),flip(a)]. 2143 L(x \ 1,x,K(y,z) \ 1) = (x * (K(y,z) \ 1)) \ (K(y,z) \ 1). [para(2142(a,1),163(a,2,1))]. 2144 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(1326(a,1),2130(a,1,2))]. 2145 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(800(a,1),2144(a,2,1))]. 2146 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(218(a,1),2099(a,1,1)),flip(a)]. 2147 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(22(a,2),2117(a,2,1))]. 2148 L(x,y,K(z,y) \ 1) = x. [para(2124(a,1),1344(a,1,3))]. 2149 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(58,a,2143,a(flip),b,2148,a)]. 2151 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(1915(a,1),2147(a,1,1)),flip(a)]. 2152 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [hyper(1849,a,2151,a),flip(a)]. 2153 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2004(a,1),2027(a,1,2,1))]. 2154 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2004(a,1),2028(a,1,2,1))]. 2155 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(1997(a,1),2154(a,1,2,1))]. 2156 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2097(a,2),2146(a,2,2,1))]. 2157 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(268,a,175,a(flip),b,2156,a),flip(a)]. 2158 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(1695(a,1),2157(a,1,2))]. 2159 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(1695(a,1),2158(a,1,2))]. 2162 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(2159(a,1),2057(a,1,2))]. 2163 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(76(a,1),2162(a,1,2,1,1,1))]. 2164 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(29,a,2082,a,b,2163,a)]. 2165 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(2164(a,1),2051(a,1,2))]. 2166 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2165(a,1),1489(a,1,2))]. 2168 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(2166(a,1),419(a,1))]. 2169 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(1487(a,1),1813(a,2,2,1,1))]. 2170 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(268,a,802,a(flip),b,2169,a),flip(a)]. 2172 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(802(a,1),2170(a,1,1))]. 2173 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2172(a,1),1859(a,1,1))]. 2174 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(898(a,1),2173(a,2,1))]. 2176 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(117,a,2174,a)]. 2178 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(484,a,2176,a)]. 2180 (x * ((y * x) \ z)) * T((x * ((y * x) \ z)) \ z,u) != w | (T(y,u) * x) * ((y * x) \ z) = w. [para(671(a,1),616(a,1))]. 2181 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(6(a,1),1523(a,1,1,1))]. 2183 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(2181(a,1),39(a,1)),flip(a)]. 2184 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2074(a,1),1680(a,1,1))]. 2185 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(1833(a,1),2134(a,1,2)),flip(a)]. 2186 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(268,a,193,a(flip),b,2185,a),flip(a)]. 2187 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2125(a,1),2185(a,1,2))]. 2188 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(4(a,1),2187(a,1,2,1,2,2,1))]. 2189 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(97(a,1),2188(a,1,2,1,2))]. 2190 x * (K(y,x) \ 1) = x / K(y,x). [para(11(a,2),2189(a,1,2,1))]. 2191 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(268,a,193,a(flip),b,2190,a),flip(a)]. 2192 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(104,a,2191,a(flip),b,2142,a)]. 2193 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(2191(a,1),2149(a,1,1))]. 2194 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(2192(a,1),748(a,1,2,1))]. 2195 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(117,a,2193,a)]. 2196 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(2195(a,1),1987(a,1,1)),flip(a)]. 2197 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(58,a,265,a(flip),b,2194,a),flip(a)]. 2198 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(58,a,264,a(flip),b,2197,a),flip(a)]. 2199 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(268,a,2198,a(flip),b,2196,a),flip(a)]. 2200 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(2199(a,1),1858(a,1,2,2))]. 2201 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(2186(a,1),2145(a,1,2)),flip(a)]. 2202 1 / (K(x,y) \ y) = K(x,y) / y. [para(1017(a,2),2201(a,1,1)),flip(a)]. 2203 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(150,a,2202,a)]. 2204 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(502,a,2200,a),flip(a)]. 2205 K(x,(y \ 1) \ 1) = K(x,y). [hyper(268,a,986,a(flip),b,2204,a)]. 2207 K(x,1 / y) = K(x,y \ 1). [para(76(a,1),2205(a,1,2,1)),flip(a)]. 2208 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(2205(a,1),2106(a,1,2))]. 2209 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(2205(a,1),2109(a,1,2))]. 2211 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(2207(a,1),1768(a,2,1))]. 2212 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(73(a,1),2208(a,2,1,1,2))]. 2213 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2021,a,2212,a)]. 2214 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [hyper(466,a,2213,a),flip(a)]. 2215 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(117,a,2214,a)]. 2216 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2085(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2216(a,1),850(a,1,2))]. 2218 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2020(a,1),2216(a,1,2)),flip(a)]. 2219 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(106,a,2217,a(flip),b,2163,a(flip))]. 2220 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(1964(a,1),2209(a,2,1))]. 2221 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2220(a,1),1989(a,1,1))]. 2222 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2054(a,1),2218(a,1,2))]. 2223 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(98(a,2),2222(a,1,2,1))]. 2224 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(747(a,1),2221(a,2,1,2))]. 2225 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(268,a,1597,a(flip),b,1598,a),flip(a)]. 2226 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1319(a,1),1810(a,1,1,2,1))]. 2227 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1444(a,1),2226(a,1,1,2)),flip(a)]. 2229 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2068(a,1),2227(a,2,1))]. 2230 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(167(a,1),2229(a,2,1))]. 2231 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(268,a,452,a(flip),b,2230,a),flip(a)]. 2234 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2231(a,1),257(a,1,2)),flip(a)]. 2235 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(106,a,3,a(flip),b,2234,a)]. 2236 (((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),1290(a,2,2,1,1))]. 2237 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1332(a,1),2236(a,1,1))]. 2238 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1394(a,1),2237(a,1,1,1))]. 2239 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(447,a,2238,a),flip(a)]. 2241 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(58,a,908,a(flip),b,2239,a),flip(a)]. 2242 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(541(a,1),2239(a,2,1,2))]. 2243 R(K(x,y) * R(K(x,y) \ 1,z,u),K(w,v5),v6) = K(x,y) * R(R(K(x,y),K(w,v5),v6) \ 1,z,u). [para(736(a,1),2239(a,1,1)),flip(a)]. 2244 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(58,a,915,a(flip),b,2242,a),flip(a)]. 2245 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(2(a,1),2244(a,1,1,2,1)),flip(a)]. 2246 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1446(a,1),2241(a,1,1,2)),flip(a)]. 2247 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(30,a,1811,a(flip),b,2246,a),flip(a)]. 2248 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(58,a,2235,a(flip),b,2247,a)]. 2249 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(104,a,2248,a(flip),b,1754,a)]. 2250 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(76(a,1),2248(a,1,2))]. 2251 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(912(a,1),2250(a,1,1))]. 2252 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1283(a,1),2251(a,1,1)),flip(a)]. 2253 R(K(x,y) * R(K(x,y) \ 1,z,u),K(w,v5),v6) = K(x,y) * R(K(x,y) \ 1,z,u). [para(736(a,1),2243(a,2,2,1,1))]. 2255 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),1293(a,1,2,1,2,1))]. 2256 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(58,a,961,a(flip),b,2255,a),flip(a)]. 2257 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(960(a,1),2256(a,2,2))]. 2258 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(416,a,2257,a),flip(a)]. 2259 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(94(a,1),1301(a,1,1,1,2,2)),flip(a)]. 2260 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(268,a,656,a(flip),b,2259,a),flip(a)]. 2261 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(268,a,1559,a(flip),b,2260,a),flip(a)]. 2262 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(656(a,1),2261(a,1,1))]. 2263 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1601(a,1),2262(a,2,1))]. 2264 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(30,a,94,a,b,2263,a),flip(a)]. 2265 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(5(a,1),2264(a,1,2,1)),flip(a)]. 2266 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(268,a,1461,a,b,2265,a),flip(a)]. 2267 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(903(a,1),2266(a,1,1,2,1))]. 2268 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1876(a,1),2267(a,1,1))]. 2269 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(15(a,2),1450(a,2,2,1,1))]. 2270 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1358(a,1),2269(a,1,1))]. 2271 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1381(a,1),2270(a,1,1,1))]. 2272 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(447,a,2271,a),flip(a)]. 2273 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(887(a,1),2272(a,2,1,2))]. 2274 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1286(a,1),2272(a,1,2))]. 2275 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1422(a,1),2273(a,1,2))]. 2276 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(197(a,1),2275(a,2,1,2))]. 2277 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1461(a,2),2276(a,2,1))]. 2278 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(3(a,1),2274(a,1,2,2)),flip(a)]. 2279 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(1919(a,1),2278(a,1,1)),flip(a)]. 2280 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(1917(a,1),2279(a,2,1))]. 2281 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(268,a,2268,a(flip),b,2280,a),flip(a)]. 2282 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(29,a,1461,a(flip),b,2281,a),flip(a)]. 2283 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(58,a,2252,a,b,2282,a)]. 2284 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(153,a,2283,a),flip(a)]. 2285 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(151(a,1),2283(a,1,1,1)),flip(a)]. 2286 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2091(a,1),2283(a,1,1,1))]. 2287 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [hyper(150,a,2285,a),flip(a)]. 2289 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(76(a,1),2287(a,1,1,1)),flip(a)]. 2290 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(2287(a,2),2104(a,1,1))]. 2291 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(164(a,1),2289(a,1,1,1)),flip(a)]. 2292 T(x,R(1 / y,z,u) \ 1) = T(x,R(y \ 1,z,u) \ 1). [para(2289(a,1),2066(a,1,2,1)),flip(a)]. 2293 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(94(a,1),2291(a,2,1,1,2))]. 2294 T(x,R(y \ 1,y,z) \ 1) = T(x,(z / (y * z)) \ 1). [para(2291(a,2),2066(a,1,2,1))]. 2295 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(721(a,1),2286(a,1,1)),flip(a)]. 2296 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2293(a,1),451(a,1,1))]. 2297 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(231,a,2290,a),flip(a)]. 2298 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2101(a,1),2297(a,2,1))]. 2299 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2103,a,2296,a)]. 2300 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(58,a,2298,a(flip),b,2299,a),flip(a)]. 2301 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2077(a,1),2300(a,2,1))]. 2302 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1866(a,1),911(a,1,1,2))]. 2303 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(7(a,1),2302(a,1,1,2))]. 2305 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(904(a,1),2303(a,1,1)),flip(a)]. 2306 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [hyper(34,a,263,a,b,2305,a)]. 2308 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(104,a,2306,a(flip),b,2141,a)]. 2309 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(1875,a,2308,a),flip(a)]. 2310 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(34,a,263,a,b,2309,a)]. 2311 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(58,a,2152,a(flip),b,2310,a)]. 2312 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(58,a,1709,a,b,2311,a)]. 2313 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(2311(a,1),1809(a,1,1))]. 2314 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(117,a,2312,a)]. 2315 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(268,a,2284,a(flip),b,2314,a),flip(a)]. 2316 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(29,a,1114,a,b,2315,a)]. 2317 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(373,a,2316,a)]. 2318 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(2316(a,1),1467(a,1,1)),flip(a)]. 2319 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(2317(a,1),396(a,1))]. 2320 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2317(a,1),2301(a,1,1))]. 2321 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(268,a,2309,a(flip),b,2318,a),flip(a)]. 2322 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(2320(a,1),39(a,1))]. 2323 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(1975(a,1),2320(a,1,1))]. 2324 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(1975(a,1),2313(a,1,1)),flip(a)]. 2325 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1488(a,1),2323(a,2,1,2))]. 2326 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(58,a,2316,a(flip),b,2324,a),flip(a)]. 2327 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(268,a,1975,a(flip),b,2326,a),flip(a)]. 2328 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(2327(a,1),94(a,1,1)),flip(a)]. 2330 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(30,a,2325,a(flip),b,2328,a),flip(a)]. 2331 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(293,a,2330,a)]. 2334 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2331(a,1),2325(a,1,1)),flip(a)]. 2338 L(x,y,K(z,z \ 1)) = x. [hyper(29,a,420,a,b,2334,a)]. 2343 a(K(x,x \ 1),y,z) = 1. [hyper(48,a,2338,a)]. 2344 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(2338(a,1),509(a,1,2))]. 2345 (K(x,x \ 1) * y) * z != u | K(x,x \ 1) * (y * z) = u. [para(2338(a,1),240(a,1,2))]. 2346 L(x,y,K(z \ 1,z)) = x. [para(1483(a,1),2338(a,1,3))]. 2347 a(K(x,y),x \ 1,z) = 1. [hyper(58,a,28,a,b,2343,a)]. 2349 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(823,a,2346,a)]. 2350 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(32,a,641,a(flip),b,2346,a(flip)),flip(a)]. 2351 L(x,y,K(z \ 1,z)) != u | x = u. [para(2346(a,1),45(a,2))]. 2352 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(2346(a,1),509(a,1,2))]. 2353 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2346(a,1),420(a,1,2))]. 2354 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(984(a,2),2351(a,1))]. 2355 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2344(a,1),2022(a,1,1))]. 2356 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2006(a,1),2349(a,1,1)),flip(a)]. 2357 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2350(a,1),15(a,2,1,1)),flip(a)]. 2358 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(2352(a,1),99(a,1,1))]. 2359 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(2322,a,2353,a)]. 2360 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2353(a,1),13(a,2,1)),flip(a)]. 2361 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(2353(a,1),1512(a,1,1))]. 2362 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(2319,a,2359,a)]. 2363 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(2359(a,1),907(a,1,2))]. 2366 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2040,a,2356,a),flip(a)]. 2368 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(1521(a,1),2358(a,1,1))]. 2369 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(30,a,1510,a,b,2363,a)]. 2371 R(x,y,z) / x = x \ R(x,y,z). [hyper(58,a,1282,a(flip),b,2369,a)]. 2373 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(116,a,2371,a)]. 2374 T(x,x \ R(x,y,z)) = x. [hyper(31,a,217,a,b,2371,a)]. 2375 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(2371(a,1),460(a,1,1))]. 2377 (x * K(y,y \ 1)) * z != u | K(y,y \ 1) * (x * z) = u. [para(191(a,1),2345(a,1,1))]. 2378 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(1949(a,1),2354(a,1,1,2))]. 2379 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(2375(a,2),2098(a,1,1,1,1))]. 2380 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2350(a,1),2357(a,1,1))]. 2381 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(58,a,2352,a(flip),b,2380,a)]. 2382 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(15(a,2),2381(a,1,2)),flip(a)]. 2383 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(268,a,2153,a(flip),b,2382,a),flip(a)]. 2385 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(1986(a,1),2383(a,1,1)),flip(a)]. 2386 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(115,a,2385,a)]. 2387 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(5(a,1),2385(a,1,1,2,1)),flip(a)]. 2388 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(7(a,1),2386(a,1,1,1)),flip(a)]. 2389 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(155,a,2387,a),flip(a)]. 2390 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(519(a,1),2387(a,2,1,2))]. 2391 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(1953(a,1),2387(a,2,1,2))]. 2392 x / R(x,y,z) = R(x,y,z) \ x. [hyper(115,a,2389,a)]. 2393 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(52,a,2392,a)]. 2394 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(117,a,2388,a),flip(a)]. 2395 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(2394(a,2),2225(a,1,1))]. 2396 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(106,a,2390,a(flip),b,434,a)]. 2397 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(58,a,2224,a(flip),b,2391,a),flip(a)]. 2398 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(106,a,2391,a(flip),b,1954,a),flip(a)]. 2399 (x * (y \ T(y,x))) * y = y * x. [para(4(a,1),2397(a,1,1)),flip(a)]. 2400 x * (y \ T(y,x)) = (y * x) / y. [hyper(115,a,2399,a),flip(a)]. 2401 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(106,a,5,a(flip),b,2399,a),flip(a)]. 2402 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(30,a,97,a(flip),b,2399,a),flip(a)]. 2403 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(106,a,2399,a(flip),b,776,a),flip(a)]. 2404 x \ ((y * x) / y) = y \ T(y,x). [hyper(108,a,2400,a)]. 2405 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(104,a,169,a(flip),b,2400,a)]. 2406 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(29,a,1204,a,b,2400,a)]. 2408 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(2400(a,1),1766(a,1,1))]. 2409 (T(x,y) \ x) * ((x * y) / x) = y. [para(2400(a,1),2137(a,1,2))]. 2410 x * (T(y,T(x,y)) \ y) = T(x,y). [para(2402(a,1),2136(a,1,1))]. 2411 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [para(7(a,1),2404(a,1,2,1)),flip(a)]. 2412 L(x,y,y \ T(y,z)) = x. [para(2404(a,1),1342(a,1,3))]. 2413 (x \ T(x,y)) * (x * z) = T(x,y) * z. [para(2412(a,1),775(a,1,2)),flip(a)]. 2414 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(2183,a,2409,a)]. 2415 T(x,y) != x * z | T(y,T(x,y)) \ y = z. [para(2410(a,1),38(a,1))]. 2416 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(2410(a,1),67(a,1,2,2))]. 2417 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(98(a,1),2401(a,1,2,2))]. 2418 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(2401(a,1),2135(a,1,1)),flip(a)]. 2419 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(275,a,2413,a)]. 2420 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(115,a,2413,a)]. 2422 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(108,a,2417,a)]. 2424 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(58,a,2178,a(flip),b,2419,a),flip(a)]. 2425 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [para(2419(a,2),849(a,1,2))]. 2426 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(2419(a,2),850(a,1,2))]. 2427 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(778,a,2420,a)]. 2429 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(58,a,1258,a(flip),b,2427,a)]. 2430 R(x,x \ T(x,y),z) = x. [hyper(605,a,2425,a)]. 2433 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(2405(a,2),2426(a,1,2,1))]. 2434 R(x,y \ T(y,x),y) = x. [hyper(268,a,149,a(flip),b,2403,a),flip(a)]. 2436 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(2434(a,1),22(a,2,1))]. 2437 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(2436(a,1),776(a,1,1)),flip(a)]. 2438 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1338,a,2406,a)]. 2439 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(58,a,920,a,b,2406,a)]. 2440 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(58,a,2258,a(flip),b,2406,a)]. 2441 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1295,a,2406,a(flip))]. 2442 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(2406(a,1),1604(a,1,1))]. 2443 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(2406(a,1),1675(a,2,2,1))]. 2444 T(x,x / (y * x)) = T(x,y \ 1). [hyper(58,a,1298,a,b,2441,a)]. 2445 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(2444(a,1),1071(a,1,2))]. 2446 R(1 / x,x,y) \ T(y,R(1 / x,x,y) \ 1) = y * ((x * y) / y). [para(350(a,1),2445(a,2,2,1))]. 2447 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(99(a,1),2411(a,1,2))]. 2448 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(58,a,2418,a,b,2447,a)]. 2451 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(946,a,2429,a),flip(a)]. 2453 T(x,T(y,x)) * T(y,x) = x * y. [para(2416(a,1),2437(a,1,1)),flip(a)]. 2454 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(1091,a,2453,a)]. 2455 T(x,T(y,x)) * (y * x) = x * (x * y). [para(2453(a,1),856(a,1,2)),flip(a)]. 2456 (T(x,y) \ x) * (x * y) = y * x. [hyper(29,a,2433,a,b,2455,a(flip))]. 2457 K(x,y) = T(y,x) \ y. [hyper(319,a,2456,a)]. 2459 T(x,y) = K(y,x) \ x. [hyper(311,a,2457,a),flip(a)]. 2460 K(x,y) * T(y,x) = y. [hyper(279,a,2457,a)]. 2461 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(268,a,2119,a,b,2457,a)]. 2462 K(x,y) = y / T(y,x). [hyper(268,a,1310,a,b,2457,a),flip(a)]. 2463 K(x,y) = y * (T(y,x) \ 1). [hyper(268,a,854,a,b,2457,a),flip(a)]. 2466 T(x,y) \ 1 = x \ K(y,x). [hyper(104,a,2457,a,b,854,a),flip(a)]. 2467 T(x,y) = x / K(y,x). [hyper(153,a,2457,a(flip)),flip(a)]. 2468 T(x,y) * K(y,x) = x. [hyper(117,a,2457,a(flip))]. 2469 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(20(a,2),2457(a,2,1)),flip(a)]. 2470 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(22(a,2),2457(a,2,1)),flip(a)]. 2471 K(x,y) != z \ y | T(y,x) = z. [para(2457(a,2),43(a,1))]. 2472 (x \ y) \ (y / x) = K(x,y / x). [para(99(a,1),2457(a,2,1)),flip(a)]. 2476 ((x \ y) \ y) * K(x \ y,x) = x. [para(2457(a,2),884(a,1,2))]. 2477 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1355(a,1),2457(a,2,1))]. 2478 K(x,y) * ((y * x) / y) = x. [para(2457(a,2),2409(a,1,1))]. 2479 x * K(T(x,y),y) = T(x,y). [para(2457(a,2),2410(a,1,2))]. 2482 T(x,y) = (K(y,x) / x) \ 1. [hyper(268,a,2203,a,b,2459,a),flip(a)]. 2484 x / T(x,y) != z | K(y,x) = z. [para(2459(a,2),235(a,1,2))]. 2486 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(2459(a,2),1851(a,1,2,1))]. 2489 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(2462(a,2),1215(a,1,1)),flip(a)]. 2490 T(x,y) != x / z | K(y,x) = z. [para(2467(a,2),40(a,1))]. 2491 T(x,y) \ x != z | K(y,x) = z. [para(2467(a,2),246(a,1,1))]. 2494 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(2463(a,2),13(a,2,2,2)),flip(a)]. 2495 T(x,y) = 1 / (x \ K(y,x)). [hyper(153,a,2466,a),flip(a)]. 2496 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2466(a,1),235(a,1,2))]. 2497 K(x \ y,x) * (y / x) = x \ y. [para(5(a,1),2478(a,1,2,1))]. 2498 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(78(a,1),2478(a,1,2,1))]. 2499 T(x,y) != x * z | K(T(x,y),y) = z. [para(2479(a,1),38(a,1))]. 2500 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(305(a,1),2471(a,1)),flip(a)]. 2502 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(20(a,2),2491(a,1,1))]. 2503 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(22(a,2),2491(a,1,1))]. 2504 (x * (y / x)) / y = (x \ y) \ (y / x). [hyper(268,a,321,a,b,2472,a)]. 2510 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(2461(a,1),2239(a,2,1,2,1))]. 2511 K((1 / x) \ y,y) = K(y * x,y). [hyper(268,a,2457,a,b,2477,a),flip(a)]. 2512 K(x * (y \ 1),x) = K(y \ x,x). [para(73(a,1),2511(a,1,1,1)),flip(a)]. 2513 x * K(y * (z \ 1),y) = K(z \ y,y) * x. [para(2512(a,1),191(a,1,1)),flip(a)]. 2514 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(268,a,2422,a(flip),b,2504,a),flip(a)]. 2515 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(2374(a,1),2470(a,1,1,1)),flip(a)]. 2516 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(58,a,2514,a(flip),b,2439,a)]. 2517 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(268,a,2438,a(flip),b,2442,a),flip(a)]. 2519 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(546,a,2516,a)]. 2520 T(x,(x / y) \ 1) = T(x,x \ y). [para(76(a,1),2519(a,1,2,2)),flip(a)]. 2522 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(2519(a,1),2448(a,1,1)),flip(a)]. 2523 T(x,R(y \ 1,y,x) \ 1) = T(x,x \ (y * x)). [hyper(58,a,2294,a,b,2520,a)]. 2524 T(x,R(y \ 1,y,x) \ 1) = T(x,T(y,x)). [para(17(a,2),2523(a,2,2))]. 2526 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(58,a,2411,a(flip),b,2451,a)]. 2527 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(58,a,2522,a(flip),b,2526,a)]. 2528 x * T(x \ 1,y) = K(x \ 1,y). [hyper(2491,a,2527,a),flip(a)]. 2529 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(2527(a,2),13(a,2,1)),flip(a)]. 2533 K(x \ (x / y),x) = K(y \ 1,x). [hyper(754,a,2528,a)]. 2534 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(714,a,2528,a)]. 2535 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(58,a,1808,a(flip),b,2528,a)]. 2536 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(58,a,1159,a(flip),b,2528,a)]. 2537 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(104,a,2528,a(flip),b,681,a(flip))]. 2539 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(2528(a,1),1015(a,1,2)),flip(a)]. 2540 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2528(a,1),1151(a,1,1))]. 2541 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(2528(a,1),1236(a,2,2))]. 2542 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(2528(a,1),1328(a,2,2))]. 2543 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(2528(a,1),1705(a,2,1,2))]. 2546 K(x \ (x / y),x) = K(1 / y,x). [hyper(268,a,1973,a,b,2533,a),flip(a)]. 2547 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(2533(a,1),1027(a,1,2))]. 2548 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * (z * T(z \ 1,u))). [para(2533(a,1),1795(a,1,2))]. 2549 T(x,y) = K(1 / (1 / x),y) * x. [para(2546(a,1),804(a,2,1))]. 2550 T(x,y) = K(x,y) * x. [para(1974(a,1),2549(a,2,1))]. 2551 K(x,y) = x \ T(x,y). [hyper(772,a,2550,a),flip(a)]. 2553 T(x,y) = x * K(x,y). [hyper(268,a,191,a(flip),b,2550,a),flip(a)]. 2555 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(58,a,20,a,b,2550,a),flip(a)]. 2558 x * (K(y,x) * y) = y * x. [para(2550(a,1),97(a,1,2))]. 2560 T(x,y) != x * z | K(x,y) = z. [para(2550(a,2),293(a,1))]. 2562 K(x,y) * (x * z) = T(x,y) * z. [para(2550(a,2),368(a,1,1)),flip(a)]. 2564 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(2550(a,2),419(a,1,2,2))]. 2565 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(268,a,2517,a,b,2551,a)]. 2566 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(268,a,2406,a,b,2551,a)]. 2567 K(x,y) = T(x,y) * (x \ 1). [hyper(268,a,749,a,b,2551,a),flip(a)]. 2568 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(20(a,2),2551(a,2,2)),flip(a)]. 2570 x * K(x,y) != z | T(x,y) = z. [para(2551(a,2),213(a,1,2))]. 2571 (x * K(y,x)) * y = y * x. [para(2551(a,2),2399(a,1,1,2))]. 2572 (x * y) / x = y * K(x,y). [para(2551(a,2),2400(a,1,2)),flip(a)]. 2573 (x \ y) * K(x,x \ y) = y / x. [para(2551(a,2),2401(a,1,2))]. 2574 T(x,y) * (x \ z) = K(x,y) * z. [para(2551(a,2),2419(a,1,1)),flip(a)]. 2576 R(x,K(x,y),z) = x. [para(2551(a,2),2430(a,1,2))]. 2577 x * (K(x,y) * z) = T(x,y) * z. [para(2551(a,2),2426(a,1,2,1))]. 2579 R(T(x,y),K(x,z),u) = T(x,y). [para(2576(a,1),22(a,2,1))]. 2581 K(T(x,y),y) = K(x,y). [hyper(2499,a,2553,a)]. 2582 K(x,y) = T(y,T(x,y)) \ y. [hyper(2415,a,2553,a),flip(a)]. 2586 x \ T(x,y) != z | K(x,y) = z. [para(2553(a,2),214(a,1,2)),flip(b)]. 2588 T(x,y) != T(z,y) * K(T(z,y),u) | T(z,u) = x. [para(2553(a,1),123(a,1)),flip(a)]. 2589 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(2553(a,2),416(a,2,2))]. 2591 K(x \ (y * x),x) = K(y,x). [para(17(a,1),2581(a,1,1))]. 2592 K(x / y,y) = K(y \ x,y). [para(99(a,1),2581(a,1,1)),flip(a)]. 2594 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(690(a,1),2581(a,1,1)),flip(a)]. 2595 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [hyper(106,a,1396,a(flip),b,2571,a)]. 2596 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [hyper(106,a,1359,a(flip),b,2571,a)]. 2598 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [hyper(106,a,94,a(flip),b,2571,a)]. 2599 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(30,a,1405,a,b,2571,a),flip(a)]. 2600 T(x * K(y,x),y) = x. [hyper(178,a,2571,a(flip))]. 2601 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2571(a,1),15(a,2,1,1))]. 2603 (x * y) / x != z | y * K(x,y) = z. [para(2571(a,1),208(a,1,1)),flip(b)]. 2604 T(T(x * K(y,x),z),y) = T(x,z). [para(2600(a,1),18(a,1,1)),flip(a)]. 2605 T(x,y) != z | z * K(y,z) = x. [para(2600(a,1),44(a,1)),flip(a)]. 2606 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(2600(a,1),177(a,1,2,1)),flip(a)]. 2607 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(2600(a,1),578(a,1,1)),flip(a)]. 2608 T(K(x,y \ 1) / y,x) = 1 / y. [para(2211(a,1),2600(a,1,1))]. 2609 T(x * (T(x,y) \ x),y) = x. [para(2457(a,1),2600(a,1,1,2))]. 2610 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(53,a,2572,a)]. 2611 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2572(a,2),433(a,1,2))]. 2612 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(2572(a,1),640(a,1,1))]. 2613 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2572(a,1),646(a,1,1))]. 2614 T(x * K(y * x,x),y) = R(x,y,x). [para(2572(a,1),688(a,2,1)),flip(a)]. 2615 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(2572(a,1),724(a,1,1))]. 2616 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(2572(a,1),641(a,1,1))]. 2617 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(2572(a,1),1200(a,2,1,2))]. 2618 K(x,y) = (1 / y) * ((x * y) / x). [para(2572(a,2),1776(a,1,2)),flip(a)]. 2619 T(x,T(y,x)) = T(x,y). [hyper(2471,a,2582,a),flip(a)]. 2620 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(2582(a,1),2572(a,2,2))]. 2621 T(x,R(y \ 1,y,x) \ 1) = T(x,y). [hyper(58,a,2524,a,b,2619,a)]. 2622 T(x,y / x) = T(x,x \ y). [para(99(a,1),2619(a,1,2)),flip(a)]. 2623 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(2619(a,1),177(a,1,2,1))]. 2624 T(x,y) * T(y,x) = x * y. [para(2619(a,1),2453(a,1,1))]. 2625 T(x,y) * (y * x) = x * (x * y). [para(2619(a,1),2455(a,1,1))]. 2629 T(x,y / x) = (x \ y) \ y. [hyper(268,a,98,a(flip),b,2622,a),flip(a)]. 2630 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(58,a,697,a,b,2622,a)]. 2631 (x * (y / x)) * x = y * T(x,x \ y). [para(2622(a,1),699(a,2,2))]. 2632 T(x,y) * (x \ T(y,x)) = y. [hyper(862,a,2624,a)]. 2633 T(x,y) \ (x * y) = T(y,x). [hyper(108,a,2624,a)]. 2634 T(x,x \ y) \ y = T(x \ y,x). [hyper(104,a,5,a(flip),b,2624,a)]. 2635 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(2624(a,1),9(a,2,1,2)),flip(a)]. 2636 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(2624(a,1),9(a,2,2,1)),flip(a)]. 2638 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(2624(a,1),94(a,1,2))]. 2640 T(x,y) = (x \ (y * x)) \ (y * x). [para(6(a,1),2629(a,1,2))]. 2641 L((x \ y) \ y,y / x,x) = T(x,x * (y / x)). [para(2629(a,1),578(a,1,1))]. 2642 T(x,y) \ y = x \ T(y,x). [hyper(108,a,2632,a)]. 2643 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(2642(a,1),79(a,1,1,2,1))]. 2644 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(2642(a,1),1678(a,1,2,1))]. 2645 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(2642(a,1),1665(a,1,2,1))]. 2647 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(1973(a,1),2570(a,1,2))]. 2648 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(2579(a,1),443(a,1,1,1)),flip(a)]. 2649 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(20(a,2),2586(a,1,2))]. 2650 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(578(a,2),2586(a,1,2))]. 2651 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(749(a,2),2586(a,1))]. 2652 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(502,a,2562,a)]. 2653 (x * y) * K(x,z) = T(x,z) * y. [hyper(301,a,2562,a)]. 2655 T(x,K(y,z)) \ T(x * u,K(w,v5)) = u. [hyper(104,a,550,a,b,2562,a(flip))]. 2656 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(2562(a,1),15(a,2,1,1)),flip(a)]. 2657 K(x,y) * (z * x) = T(x,y) * T(z,x). [para(97(a,1),2562(a,1,2))]. 2663 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2553(a,2),2562(a,1,2))]. 2665 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(723,a,2574,a)]. 2666 T(x,y) * (x \ z) = z * K(x,y). [hyper(268,a,191,a(flip),b,2574,a),flip(a)]. 2668 (x * T(y,z)) \ (x * (K(y,z) * u)) != w | L(y \ u,T(y,z),x) = w. [para(2574(a,1),419(a,1,2,2))]. 2669 x * (y * K(x,z)) = T(x,z) * y. [hyper(484,a,2577,a)]. 2672 x \ (T(x,y) * z) = K(x,y) * z. [hyper(108,a,2577,a)]. 2673 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(104,a,2574,a(flip),b,2577,a)]. 2674 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(104,a,5,a(flip),b,2577,a),flip(a)]. 2675 K(x,y) * K(y,x) = 1. [hyper(103,a,2468,a(flip),b,2577,a),flip(a)]. 2676 K(x / y,z) * x = y * T(y \ x,z). [hyper(29,a,867,a,b,2577,a),flip(a)]. 2677 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(2577(a,1),9(a,2,2,1)),flip(a)]. 2678 T(x,y) * z != x * u | K(x,y) * z = u. [para(2577(a,1),38(a,1))]. 2679 K(x,y) \ 1 = K(y,x). [hyper(295,a,2675,a)]. 2680 1 / K(x,y) = K(y,x). [hyper(115,a,2675,a)]. 2681 K(x,y) * z != 1 | K(y,x) = z. [para(2675(a,1),38(a,1)),flip(a)]. 2683 K(x,y) \ 1 != z | K(y,x) = z. [para(2675(a,1),214(a,1,2)),flip(b)]. 2684 (1 * x) / a(K(y,z),T(K(z,y),u),x) = K(y,z) * (T(K(z,y),w) * x). [para(2675(a,1),1252(a,1,1,1))]. 2685 K(T(x,y),y) * K(y,x) = 1. [para(2581(a,2),2675(a,1,1))]. 2687 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(2679(a,1),347(a,1,1,1))]. 2688 R(K(x,y) * R(K(x,y) \ 1,z,u),K(w,v5),v6) = K(x,y) * R(K(y,x),z,u). [para(2679(a,1),2253(a,2,2,1))]. 2689 K(x,y) != 1 / z | K(y,x) = z. [para(2680(a,1),40(a,1))]. 2690 K(x,y) != z | K(y,x) \ 1 = z. [para(2680(a,1),312(a,1))]. 2691 K(x,T(y,x)) = K(x,y). [hyper(29,a,2675,a,b,2685,a)]. 2692 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),2691(a,1,2))]. 2693 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(20(a,2),2691(a,1,2))]. 2694 K(x,y / x) = K(x,x \ y). [para(99(a,1),2691(a,1,2)),flip(a)]. 2695 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(98(a,1),2691(a,1,2))]. 2696 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(183(a,1),2691(a,1,2)),flip(a)]. 2698 K(x,x \ y) * y = x * (y / x). [para(2694(a,1),317(a,1,1))]. 2700 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(2605,a,2604,a)]. 2701 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(2604(a,1),44(a,2)),flip(b)]. 2702 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(2625(a,1),700(a,1,1))]. 2704 T(x,y) \ z != x \ u | K(x,y) * u = z. [para(2652(a,1),42(a,1)),flip(a)]. 2707 T(x,y) * (x \ y) = (x * y) / x. [hyper(268,a,2572,a,b,2666,a),flip(a)]. 2708 T(x,y) \ ((x * y) / x) = x \ y. [hyper(104,a,2572,a,b,2666,a)]. 2709 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(268,a,2653,a,b,2669,a)]. 2710 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(104,a,2666,a(flip),b,2669,a)]. 2711 T(x,y) * z != x * u | z * K(x,y) = u. [para(2669(a,1),38(a,1))]. 2715 T(x,y) * y = x * ((x * y) / x). [para(2572(a,2),2669(a,1,2)),flip(a)]. 2716 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(2672(a,1),213(a,1,2))]. 2719 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(115,a,2674,a)]. 2720 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(2674(a,1),38(a,1))]. 2721 K(x / y,y) * ((y \ x) \ z) = (x / y) \ z. [para(99(a,1),2674(a,1,2,1))]. 2723 T(x,x \ y) \ (x * (y / x)) = x \ y. [hyper(104,a,2698,a(flip),b,2574,a)]. 2724 K(x,x \ y) * (K(z,u) * y) = K(z,u) * (x * (y / x)). [para(2698(a,1),791(a,1,2)),flip(a)]. 2725 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(2698(a,1),290(a,1,1))]. 2726 T(x,x / (x / y)) = T(x,y). [hyper(30,a,1206,a,b,2707,a)]. 2727 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(2707(a,1),13(a,2,1)),flip(a)]. 2729 T(x,x / (1 / y)) = T(x,x * y). [hyper(58,a,1212,a(flip),b,2726,a)]. 2730 (x / y) \ T(x,y) = (x * y) / x. [hyper(104,a,2726,a(flip),b,1061,a)]. 2731 T(x,x / y) = T(x,y \ x). [para(73(a,1),2726(a,1,2,2))]. 2732 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(58,a,1101,a(flip),b,2731,a),flip(a)]. 2733 x \ T(x,y \ x) = K(x,x / y). [hyper(104,a,2731,a(flip),b,2553,a(flip))]. 2734 x / T(x,y \ x) = K(x / y,x). [para(2731(a,1),2462(a,2,2)),flip(a)]. 2735 T(x / y,T(y,x)) = y \ x. [hyper(1097,a,2708,a)]. 2736 T(x,T(y,x * y)) = y \ (x * y). [para(6(a,1),2735(a,1,1))]. 2737 T(K(x,y) * K(z,u),w) * w = (K(x,y) * K(z,u)) * ((K(z,u) * (K(x,y) * w)) / (K(x,y) * K(z,u))). [para(735(a,1),2715(a,2,2,1))]. 2738 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(20(a,2),2719(a,1,2,1))]. 2740 K(x,y) * (T(x,y) \ z) != u | x \ z = u. [para(2719(a,1),207(a,1,1))]. 2741 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(2729(a,1),1106(a,1,1))]. 2742 ((x * y) * y) / (x * y) = x \ T(x * y,y). [hyper(58,a,130,a(flip),b,2730,a),flip(a)]. 2743 T(x,(1 / y) * x) = T(x,y \ x). [para(76(a,1),2732(a,1,2,1)),flip(a)]. 2744 K(x,x / y) = K(x,y \ x). [hyper(2586,a,2733,a),flip(a)]. 2746 K(x,(y \ x) \ x) = K(x,y). [para(73(a,1),2744(a,1,2)),flip(a)]. 2747 K(x * y,T(y,x)) = K(x * y,y). [para(2640(a,2),2746(a,1,2))]. 2748 K(x / y,x) = K(y \ x,x). [hyper(2484,a,2734,a),flip(a)]. 2749 K((x \ y) \ y,y) = K(x,y). [para(73(a,1),2748(a,1,1)),flip(a)]. 2750 T(x,T(y,x * y)) = T(x,y). [hyper(268,a,17,a,b,2736,a),flip(a)]. 2751 T(x,T(x \ y,y)) = T(x,x \ y). [para(5(a,1),2750(a,1,2,2))]. 2752 (K(x,y) * (K(z,u) * w)) / (K(x,y) * K(z,u)) != v5 | w * K(K(x,y) * K(z,u),w) = v5. [para(423(a,1),2603(a,1,1))]. 2755 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(104,a,2205,a(flip),b,2566,a)]. 2756 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(58,a,2264,a(flip),b,2566,a)]. 2757 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(58,a,1757,a(flip),b,2566,a)]. 2760 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(2566(a,1),1536(a,1,2))]. 2761 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(2631(a,1),80(a,1,2))]. 2763 T(x,K(y,z)) * u != w | T(x * u,K(v5,v6)) = w. [para(2655(a,1),213(a,1,2))]. 2764 L(x \ 1,x,y) = T(y * x,K(z,u)) \ T(y,K(w,v5)). [para(344(a,1),2655(a,1,2,1)),flip(a)]. 2766 x \ y != K(x,z) * (x \ u) | K(x,z) * u = y. [para(2673(a,1),42(a,1)),flip(a)]. 2767 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(106,a,680,a(flip),b,2676,a)]. 2769 (T(x,y / z) \ x) * y = z * T(z \ y,x). [para(2457(a,1),2676(a,1,1))]. 2771 R(x,y,K(x,z)) = x. [hyper(444,a,2709,a)]. 2772 L(K(x,y),z,x) = K(x,y). [hyper(416,a,2709,a)]. 2773 R(T(x,y),z,K(x,u)) = T(x,y). [para(2771(a,1),22(a,2,1))]. 2776 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(2445(a,2),2723(a,1,2))]. 2778 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(268,a,2454,a(flip),b,2741,a),flip(a)]. 2779 R(T(x,x * y),y,x) = T(x,y). [hyper(268,a,2619,a(flip),b,2778,a),flip(a)]. 2780 T(x,x * (y / x)) = T(x,y). [hyper(706,a,2779,a),flip(a)]. 2781 T(x,y * x) = T(x,x * y). [hyper(698,a,2779,a)]. 2782 R(T(x,y),x \ y,x) = T(x,x \ y). [para(5(a,1),2779(a,1,1,2))]. 2783 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(2779(a,1),177(a,1,2)),flip(a)]. 2784 T(x,(x \ y) * x) = T(x,y). [para(72(a,1),2780(a,1,2)),flip(a)]. 2785 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(2780(a,1),2632(a,1,1))]. 2786 T(L(x,y,x),y) = T(x,y * x). [hyper(268,a,580,a,b,2781,a)]. 2787 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,2781,a)]. 2788 T(x,x * (1 / y)) = T(x,y \ x). [hyper(58,a,2743,a(flip),b,2781,a),flip(a)]. 2789 T(x,y * x) * (x \ 1) = K(x,x * y). [para(2781(a,2),2567(a,2,1)),flip(a)]. 2792 T(x * K(y,x),y * x) = L(x,y,x). [hyper(2701,a,2786,a)]. 2793 T((x * y) / x,x * y) = L(y,x,y). [hyper(392,a,2786,a)]. 2794 T(x,x * (1 / y)) = T(x,x / y). [hyper(268,a,2731,a,b,2788,a),flip(a)]. 2795 K(x,x * (1 / y)) = x \ T(x,x / y). [hyper(104,a,2794,a(flip),b,2553,a(flip)),flip(a)]. 2796 L(x,y,(y * x) / y) = L(x,y,x). [hyper(58,a,592,a(flip),b,2793,a)]. 2797 L(x,y,x * K(y,x)) = L(x,y,x). [para(2572(a,1),2796(a,1,3))]. 2798 K(x,y * x) = K(x,x * y). [hyper(2651,a,2789,a)]. 2799 K(x,x * (1 / y)) = K(x,x / y). [hyper(268,a,2551,a,b,2795,a),flip(a)]. 2800 K(x,x * (1 / y)) = K(x,y \ x). [hyper(268,a,2744,a(flip),b,2799,a),flip(a)]. 2801 K(x,(y \ 1) \ x) = K(x,x * y). [para(73(a,1),2800(a,1,2,2)),flip(a)]. 2802 R(x,y,T(x,y)) = R(x,y,x). [hyper(30,a,446,a,b,2783,a)]. 2803 x \ T(y * x,y) = R(y,x,y). [hyper(1050,a,2802,a)]. 2804 x * R(y,x,y) = T(y * x,y). [para(2802(a,1),1049(a,1,2))]. 2805 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(2619(a,1),2802(a,1,3))]. 2806 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(5(a,1),2803(a,1,2,1)),flip(a)]. 2807 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(2803(a,1),89(a,1,1)),flip(a)]. 2808 x \ T(y * x,y) != z | R(y,x,y) = z. [para(2804(a,1),214(a,1,2)),flip(b)]. 2809 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(2804(a,1),1406(a,1,1))]. 2810 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(714,a,2539,a),flip(a)]. 2811 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [hyper(104,a,1215,a(flip),b,2539,a(flip))]. 2812 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [hyper(104,a,1159,a(flip),b,2539,a(flip))]. 2815 K((x / y) \ 1,z) = K(y / x,z). [hyper(30,a,2676,a,b,2540,a),flip(a)]. 2817 K((x / y) \ 1,x) = K(x \ y,x). [hyper(268,a,2592,a(flip),b,2815,a),flip(a)]. 2818 K(1 / (x / y),z) = K(y / x,z). [hyper(58,a,1973,a,b,2815,a)]. 2819 K(x / (y * x),z) = K(y \ 1,z). [para(6(a,1),2815(a,1,1,1)),flip(a)]. 2820 K(x \ (y \ x),x) = K(y \ 1,x). [para(73(a,1),2817(a,1,1,1)),flip(a)]. 2821 K((x * y) / (z * y),u) = K(1 / R(z / x,x,y),u). [para(95(a,2),2818(a,1,1,2)),flip(a)]. 2822 K(R(1 / x,x,y),z) = K(x \ 1,z). [para(164(a,2),2819(a,1,1))]. 2824 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(2551(a,2),2565(a,1,1)),flip(a)]. 2826 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(2824(a,2),97(a,1,2))]. 2828 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(2205(a,1),2824(a,2,1))]. 2831 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(30,a,2571,a,b,2606,a)]. 2832 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(268,a,2572,a(flip),b,2612,a)]. 2833 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(104,a,2613,a,b,2572,a(flip))]. 2834 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(2592(a,1),2721(a,1,1))]. 2835 T(x \ T(x * y,y),x) = R(y,x,y). [para(2742(a,1),688(a,2,1)),flip(a)]. 2836 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(58,a,2634,a,b,2835,a)]. 2837 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(268,a,2102,a(flip),b,2755,a)]. 2838 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(268,a,1024,a(flip),b,2769,a)]. 2839 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(99(a,1),2826(a,1,2,2,1)),flip(a)]. 2840 ((x \ y) \ z) * K(x \ y,x) = (y / x) \ z. [hyper(301,a,2834,a)]. 2841 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(17(a,2),2834(a,1,2))]. 2842 T(x,y) = L((x \ y) \ y,y / x,x). [hyper(268,a,2780,a(flip),b,2641,a)]. 2843 L(x,y / x,x) * (x \ y) = (x \ y) * T(x,y). [para(2842(a,2),530(a,1,2)),flip(a)]. 2844 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2711,a,2809,a)]. 2845 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(2678,a,2809,a)]. 2846 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(104,a,2844,a(flip),b,2669,a),flip(a)]. 2847 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(104,a,2844,a(flip),b,2577,a),flip(a)]. 2848 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(2844(a,1),13(a,2,2,2)),flip(a)]. 2849 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(5(a,1),2846(a,1,1,1)),flip(a)]. 2850 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(2846(a,1),280(a,1))]. 2851 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(2847(a,1),280(a,1))]. 2852 L(x,y / x,x) = L(x,x \ y,x). [hyper(30,a,584,a,b,2843,a),flip(a)]. 2853 L(x,(x * y) / x,x) = L(x,y,x). [para(4(a,1),2852(a,2,2))]. 2854 L(x,T(y,x),x) = L(x,y,x). [para(169(a,1),2853(a,1,2)),flip(a)]. 2855 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(58,a,1224,a(flip),b,2534,a)]. 2856 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(76(a,1),2534(a,1,2,2,1,2))]. 2857 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(58,a,2245,a,b,2535,a)]. 2859 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2528(a,1),2535(a,1,1))]. 2860 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(76(a,1),2859(a,1,1,1)),flip(a)]. 2861 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(1975(a,1),2859(a,1,1)),flip(a)]. 2862 R(K(1 / x,y),z,u) = K(1 / R(x,z,u),y). [para(2283(a,1),2860(a,1,1)),flip(a)]. 2863 K(1 / R(x / y,z,u),w) = R(K(y / x,w),z,u). [para(2818(a,1),2862(a,1,1)),flip(a)]. 2864 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(268,a,717,a(flip),b,2537,a)]. 2865 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(2572(a,1),2617(a,1,2))]. 2866 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(2623(a,1),171(a,1,1,2))]. 2867 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(2630(a,1),2623(a,1,2)),flip(a)]. 2868 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(2779(a,1),2623(a,1,2)),flip(a)]. 2869 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(2782(a,1),2623(a,1,2)),flip(a)]. 2870 K(x * y,T(y,x)) = K(y * x,y). [hyper(261,a,2702,a),flip(a)]. 2871 K(x * y,y) = K(y * x,y). [hyper(58,a,2747,a(flip),b,2870,a)]. 2872 T(x * K(x * y,x),y) = R(x,y,x). [para(2871(a,1),2614(a,1,1,2))]. 2873 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(2871(a,2),2846(a,1,1))]. 2874 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(2871(a,2),2847(a,1,2))]. 2875 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(2872(a,1),18(a,1,1)),flip(a)]. 2876 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(268,a,22,a,b,2875,a),flip(a)]. 2877 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(962(a,1),2757(a,1,1))]. 2878 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(1760(a,1),2757(a,1,1))]. 2880 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1173(a,1),2785(a,1,2))]. 2881 L(R(x,y,x),y,x) = x. [hyper(247,a,2807,a),flip(a)]. 2883 T(x * (T(x,y) \ x),y) = L(R(x,z,x),z,x). [hyper(268,a,2609,a,b,2881,a)]. 2884 R(L(x,y,x),y,x) = x. [hyper(58,a,24,a,b,2881,a)]. 2885 (x * (y * x)) / x = L(x,y,x) * y. [para(2884(a,1),431(a,1,1,1))]. 2886 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(104,a,2885,a,b,xx)]. 2887 T((x * y) / x,L(x,y,x)) = y. [hyper(1371,a,2886,a)]. 2889 T(x,L(y,x,y)) = T(x,y). [para(2887(a,1),222(a,1,1)),flip(a)]. 2890 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(2889(a,1),97(a,1,2))]. 2891 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [para(2854(a,2),2890(a,1,1))]. 2892 T((x * y) / x,T(x,y)) = L(R(y,z,y),z,y). [para(2620(a,2),2883(a,1,1))]. 2893 T(x,y) * T(y,x * y) = x * L(y,x,y). [hyper(58,a,585,a(flip),b,2891,a)]. 2894 T(x,y) * T(y,y * x) = x * L(y,x,y). [para(2781(a,1),2893(a,1,2))]. 2895 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2711,a,2894,a)]. 2896 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(2678,a,2894,a)]. 2897 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(104,a,2895,a(flip),b,2669,a),flip(a)]. 2898 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(104,a,2895,a(flip),b,2653,a)]. 2899 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(2798(a,2),2897(a,1,2))]. 2900 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(2899(a,1),423(a,1,1)),flip(a)]. 2901 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,z,y),z,y). [para(2742(a,1),2892(a,1,1))]. 2902 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(637,a,2865,a),flip(a)]. 2903 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [hyper(268,a,2863,a(flip),b,2821,a)]. 2904 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(73(a,1),2903(a,1,1,1)),flip(a)]. 2905 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(92(a,2),2904(a,1,1))]. 2906 K(R(x,x \ 1,y),z) = K(x,z). [hyper(268,a,337,a(flip),b,2905,a),flip(a)]. 2907 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(4(a,1),2905(a,1,1,2)),flip(a)]. 2909 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(106,a,2832,a(flip),b,191,a)]. 2910 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(2832(a,1),296(a,1,1))]. 2911 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(2857(a,1),568(a,1,2))]. 2912 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(268,a,2809,a(flip),b,2868,a),flip(a)]. 2913 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(2912(a,1),2807(a,1,2))]. 2914 R(x,y / x,x) = R(x,x \ y,x). [hyper(30,a,2867,a,b,2869,a)]. 2916 R(x,(x * y) / x,x) = R(x,y,x). [para(4(a,1),2914(a,2,2))]. 2917 R(x,T(y,x),x) = R(x,y,x). [para(169(a,1),2916(a,1,2)),flip(a)]. 2918 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(58,a,2805,a,b,2917,a)]. 2919 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(2918(a,1),26(a,1,1)),flip(a)]. 2920 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(15(a,2),2902(a,1,1)),flip(a)]. 2921 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(2920(a,2),39(a,1))]. 2923 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(2515(a,2),242(a,1))]. 2925 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(2528(a,1),2542(a,1,1,2))]. 2927 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(108,a,2925,a)]. 2928 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(2927(a,1),977(a,1,1)),flip(a)]. 2929 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(22(a,2),2547(a,2,2))]. 2931 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(2566(a,1),2756(a,1,1))]. 2932 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(2205(a,1),2931(a,1,1)),flip(a)]. 2933 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(2519(a,1),2776(a,1,1))]. 2934 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(1515(a,1),2933(a,2,2))]. 2935 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(58,a,1034,a(flip),b,2838,a),flip(a)]. 2936 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(717(a,1),2856(a,1,2)),flip(a)]. 2937 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(117,a,2864,a)]. 2938 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(268,a,2881,a(flip),b,2901,a),flip(a)]. 2939 T(x,x \ T(x * y,y)) = T(x,y). [para(2938(a,1),2751(a,1,2)),flip(a)]. 2940 T(x,y) \ T(x * y,y) = R(y,x,y). [para(2939(a,1),2836(a,1,1))]. 2941 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(17(a,1),2940(a,1,1))]. 2942 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(58,a,2700,a(flip),b,2599,a)]. 2943 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(2919(a,1),2638(a,1,1)),flip(a)]. 2944 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(268,a,2907,a(flip),b,2656,a),flip(a)]. 2945 K(R(x,y,(x * y) \ z),u) * z = (T(x,u) * y) * ((x * y) \ z). [para(2944(a,1),269(a,1,1))]. 2946 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(2396(a,1),2811(a,1,2)),flip(a)]. 2947 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(58,a,1165,a(flip),b,2398,a)]. 2948 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2029(a,1),2424(a,1,2))]. 2949 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(58,a,2223,a(flip),b,2948,a),flip(a)]. 2950 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(2406(a,1),2440(a,1,1))]. 2951 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(268,a,2551,a,b,2950,a),flip(a)]. 2952 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(2551(a,2),2951(a,1,1))]. 2953 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(2205(a,1),2952(a,1,1)),flip(a)]. 2954 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(2438(a,1),2443(a,1,1))]. 2955 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1402,a,2598,a),flip(a)]. 2956 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(2665(a,1),2767(a,1,1,2)),flip(a)]. 2958 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(97(a,1),2810(a,2,2))]. 2959 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(743(a,1),2878(a,1,1,1))]. 2960 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(58,a,2855,a,b,2936,a)]. 2961 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(268,a,2812,a(flip),b,2946,a),flip(a)]. 2962 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(58,a,2419,a(flip),b,2954,a)]. 2963 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(2594(a,1),2955(a,1,2)),flip(a)]. 2965 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(2419(a,1),2962(a,2,2))]. 2966 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(2528(a,1),2548(a,2,2,2))]. 2967 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(416,a,2966,a)]. 2969 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(1973(a,2),2967(a,1,1))]. 2970 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(1975(a,1),2967(a,1,1)),flip(a)]. 2971 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(268,a,1973,a,b,2969,a),flip(a)]. 2972 (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). [para(2971(a,1),87(a,1,2))]. 2973 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(268,a,443,a(flip),b,2943,a),flip(a)]. 2974 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1427(a,1),2973(a,1,1))]. 2975 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(104,a,2809,a(flip),b,2974,a(flip))]. 2976 K(R(x,y,(x * y) \ z),u) * z != (T(x,u) * y) * w | (x * y) \ z = w. [para(2945(a,2),38(a,1))]. 2977 K(R(T(x,y),y,(x * ((x * y) / x)) \ z),u) * z = (T(T(x,y),u) * y) * ((T(x,y) * y) \ z). [para(2715(a,1),2945(a,1,1,1,3,1))]. 2978 R(1 / x,x,y) \ T(y,R(x \ 1,x,y) \ 1) = y * ((x * y) / y). [para(2292(a,1),2446(a,1,2))]. 2979 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(473,a,2648,a)]. 2980 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(5(a,1),2877(a,1,1,2,2,1))]. 2981 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(1455(a,1),2949(a,1,1)),flip(a)]. 2982 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(2981(a,1),2219(a,1,2))]. 2983 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(2982(a,1),269(a,1,1)),flip(a)]. 2984 R(1 / x,x,y) \ T(y,R(x \ 1,x,y) \ 1) = y * x. [para(6(a,1),2978(a,2,2))]. 2985 R(1 / x,x,y) \ T(y,x) = y * x. [para(2621(a,1),2984(a,1,2))]. 2986 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(153,a,2985,a)]. 2987 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(58,a,353,a,b,2986,a)]. 2988 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(2986(a,1),1289(a,1,1)),flip(a)]. 2989 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(99(a,1),2987(a,1,3)),flip(a)]. 2990 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(2989(a,1),350(a,1,1))]. 2991 ((x \ y) / y) * (x * (y / x)) = y / x. [para(2990(a,1),612(a,1,2))]. 2992 (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(2979(a,1),1426(a,2,1,2)),flip(a)]. 2993 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(2595(a,1),744(a,1,1,1))]. 2994 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(2596(a,1),688(a,2,1)),flip(a)]. 2995 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(58,a,2700,a,b,2994,a)]. 2996 x / a(K(y,z),T(K(z,y),u),x) = K(y,z) * (T(K(z,y),w) * x). [hyper(234,a,2684,a)]. 2997 x / a(K(y,z),K(z,y),x) = K(y,z) * (T(K(z,y),u) * x). [para(96(a,1),2996(a,1,2,2))]. 2998 K(x,y) * (T(K(y,x),z) * u) = u / 1. [para(331(a,1),2997(a,1,2)),flip(a)]. 2999 K(x,y) * (T(K(y,x),z) * u) = u. [hyper(268,a,71,a(flip),b,2998,a),flip(a)]. 3001 K(x,y) * (K(y,x) * z) = z. [para(96(a,1),2999(a,1,2,1))]. 3002 K(x,K(y,z)) = K(u,w) * T(K(w,u),v5). [para(204(a,1),2999(a,1,2)),flip(a)]. 3003 K(x,y) * (z * K(y,x)) = z. [para(294(a,1),2999(a,1,2))]. 3004 K(x,y) \ z = K(y,x) * z. [para(401(a,1),2999(a,1,2)),flip(a)]. 3005 (K(x,y) * z) * K(y,x) = z. [hyper(301,a,3001,a)]. 3006 L(x,K(y,z),K(u,w)) = K(v5,v6) * (K(v6,v5) * x). [hyper(268,a,332,a,b,3001,a)]. 3007 x / (K(y,z) * x) = K(z,y). [hyper(115,a,3001,a)]. 3008 (x * K(y,z)) * K(z,y) = x. [hyper(58,a,995,a,b,3001,a)]. 3009 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(29,a,2834,a,b,3001,a),flip(a)]. 3010 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(29,a,2676,a,b,3001,a),flip(a)]. 3011 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(29,a,2674,a,b,3001,a),flip(a)]. 3012 K(x,y) * (T(y,x) * z) = y * z. [hyper(29,a,2562,a,b,3001,a),flip(a)]. 3013 T(x,K(y,z)) = K(u,w) * (x * K(w,u)). [hyper(29,a,739,a,b,3001,a)]. 3014 x / K(y,z) = x * K(z,y). [hyper(106,a,3001,a(flip),b,995,a)]. 3015 x / (x * K(y,z)) = K(z,y). [hyper(106,a,3001,a(flip),b,282,a(flip))]. 3016 (x * K(y,z)) \ x = K(z,y). [hyper(104,a,3001,a(flip),b,995,a)]. 3019 K(x,y) * z != u | K(y,x) * u = z. [para(3001(a,1),38(a,1)),flip(a)]. 3020 x / (K(y,z) * x) != u | K(z,y) = u. [para(3001(a,1),208(a,1,1)),flip(b)]. 3022 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(3001(a,1),89(a,2,2))]. 3023 x * K(y,z) != u | K(z,y) * u = x. [para(3001(a,1),292(a,1)),flip(a),flip(b)]. 3024 T(x,K(y,z)) = (K(u,w) * x) * K(w,u). [para(3001(a,1),286(a,1,1))]. 3025 T(x,y) * (K(y,x) * z) = x * z. [para(3001(a,1),2577(a,1,2)),flip(a)]. 3026 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3001(a,1),2725(a,1,2,2)),flip(a)]. 3027 (x \ y) * K(z,x) = T(x,z) \ y. [hyper(29,a,2674,a,b,3003,a),flip(a)]. 3028 x \ (y * K(z,x)) = T(x,z) \ y. [hyper(104,a,3003,a(flip),b,2574,a),flip(a)]. 3029 K(x,y) * z != u | u * K(y,x) = z. [para(3003(a,1),38(a,1)),flip(a)]. 3031 x / K(y,z) != u | x * K(z,y) = u. [para(3003(a,1),281(a,1,1))]. 3032 x * K(y,z) != u | u * K(z,y) = x. [para(3003(a,1),292(a,1)),flip(a),flip(b)]. 3033 T(x,y) * (z * K(y,x)) = x * z. [para(3003(a,1),2577(a,1,2)),flip(a)]. 3034 L(K(x,y) \ z,K(u,w),K(v5,v6)) = K(y,x) * z. [hyper(58,a,332,a,b,3004,a)]. 3035 K(x,y) * (L(z,u,K(y,x)) * (u * K(y,x))) = u * T(z,K(y,x) * u). [hyper(58,a,719,a(flip),b,3004,a),flip(a)]. 3036 K(x,y) * (K(y,x) * z) != u | z = u. [para(3004(a,1),213(a,1,2))]. 3037 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3004(a,1),253(a,1,1))]. 3038 L(K(x,y) * (z \ u),K(y,x),z) != w | (z * K(y,x)) \ u = w. [para(3004(a,1),822(a,1,1))]. 3039 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(3004(a,1),2375(a,1,1))]. 3041 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(2861(a,1),3004(a,1,1)),flip(a)]. 3042 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(2970(a,1),3004(a,1,1)),flip(a)]. 3044 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(31,a,2956,a(flip),b,3007,a),flip(a)]. 3046 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(1907(a,1),3007(a,1,2))]. 3047 (x * y) / (T(x,z) * y) = K(z,x). [para(2562(a,1),3007(a,1,2))]. 3048 x / (y * T(y \ x,z)) = K(z,x / y). [para(2676(a,1),3007(a,1,2))]. 3050 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(3008(a,1),13(a,2,2,2))]. 3051 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3008(a,1),214(a,1,2)),flip(b)]. 3052 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3008(a,1),87(a,1,1))]. 3053 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3008(a,1),569(a,1,1,2))]. 3054 x / K(y,z) != x * u | K(z,y) = u. [para(3014(a,2),38(a,1))]. 3057 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(3014(a,1),504(a,1,1))]. 3061 T(x,y) / (K(x,y) * T(x,z)) = K(z,x). [para(2663(a,2),3015(a,1,2))]. 3062 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(2832(a,1),3015(a,1,2))]. 3063 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(268,a,2953,a(flip),b,3016,a),flip(a)]. 3065 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(2846(a,1),3016(a,1,1))]. 3066 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(2905(a,1),3016(a,1,1,2)),flip(a)]. 3067 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2831(a,1),3016(a,1,1))]. 3068 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(2832(a,1),3016(a,1,1))]. 3069 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(3016(a,1),2687(a,2,1))]. 3070 T(x,y) \ (x * z) = K(y,x) * z. [hyper(466,a,3011,a),flip(a)]. 3073 x * (T(x,y) \ z) = K(y,x) * z. [hyper(275,a,3012,a),flip(a)]. 3074 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(58,a,2574,a,b,3012,a)]. 3075 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(3012(a,1),410(a,1,1)),flip(a)]. 3076 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3012(a,1),2577(a,1,2)),flip(a)]. 3079 K(x,y) * (y * z) = y * (K(x,y) * z). [para(3025(a,1),3012(a,1,2))]. 3080 (x \ y) * K(y,x) = x \ T(y,x). [hyper(268,a,2642,a(flip),b,3027,a),flip(a)]. 3081 T(x,K(y,z)) \ u = (x \ u) * K(w,K(v5,v6)). [para(203(a,1),3027(a,1,2)),flip(a)]. 3083 x / (x / y) = y * K(y \ x,y). [hyper(33,a,2448,a(flip),b,3028,a)]. 3084 (x / y) * K(x,y) = T(x,y) / y. [hyper(29,a,2880,a,b,3033,a),flip(a)]. 3085 x \ T(x * y,x) = y * K(x * y,x). [hyper(29,a,2632,a,b,3033,a)]. 3088 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(22(a,2),3047(a,1,2,1))]. 3090 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(3070(a,1),213(a,1,2))]. 3091 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(268,a,2574,a,b,3073,a)]. 3092 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(268,a,2676,a(flip),b,3073,a)]. 3093 (T(x,y) \ x) * z = x * (T(x,y) \ z). [para(2457(a,1),3073(a,2,1)),flip(a)]. 3094 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(3011(a,2),3073(a,1,2))]. 3095 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(3080(a,1),3016(a,1,1)),flip(a)]. 3096 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(268,a,2700,a(flip),b,3083,a)]. 3102 T(x / (x / y),x) = L(y,y \ x,y). [para(3083(a,2),2615(a,1,1))]. 3105 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(1907(a,1),3020(a,1,2))]. 3107 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(2382(a,2),3036(a,1,2))]. 3108 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(2674(a,1),3036(a,1,2))]. 3109 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(2831(a,1),3051(a,1,1))]. 3110 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(2832(a,1),3051(a,1,1))]. 3111 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3102(a,2),20(a,2,1)),flip(a)]. 3112 T(K(x,y),z) = T(K(y,x),u) \ 1. [hyper(29,a,2463,a(flip),b,3002,a(flip)),flip(a)]. 3114 T(K(x,y),z) = 1 / T(K(y,x),u). [hyper(153,a,3112,a(flip)),flip(a)]. 3115 T(K(x,y),z) \ 1 != u | T(K(y,x),w) = u. [para(3112(a,1),367(a,1))]. 3116 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),w). [para(3112(a,2),434(a,1,2)),flip(a)]. 3117 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),u). [hyper(58,a,2828,a,b,3114,a)]. 3118 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(748(a,1),3010(a,1,2))]. 3119 K(x / y,z) * x != u | y * T(y \ x,z) = u. [para(3010(a,1),3036(a,1,2))]. 3124 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1159(a,1),3048(a,1,2))]. 3125 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1215(a,1),3048(a,1,2))]. 3126 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3076(a,1),2636(a,1,1))]. 3127 L(K(x,y),z,y) = K(x,y). [hyper(30,a,720,a,b,3079,a)]. 3128 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3079(a,1),94(a,2,1))]. 3129 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(3079(a,1),950(a,1,2))]. 3130 (x * y) * K(z,x) = x * (y * K(z,x)). [para(3127(a,1),87(a,1,2))]. 3132 x * (y * K(x * y,x)) = T(x * y,x). [hyper(117,a,3085,a)]. 3133 x \ T(x * y,x) != y * z | K(x * y,x) = z. [para(3085(a,2),38(a,1))]. 3134 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(3085(a,2),2494(a,1,1))]. 3135 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(3091(a,1),1028(a,2,2))]. 3136 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(228,a,3093,a),flip(a)]. 3137 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(104,a,67,a(flip),b,3093,a)]. 3138 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(58,a,2935,a(flip),b,3093,a),flip(a)]. 3140 R(x,y,K(z,x)) = x. [hyper(444,a,3130,a)]. 3143 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(3140(a,1),441(a,1,1,1)),flip(a)]. 3144 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(2513(a,1),3132(a,1,2))]. 3145 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(58,a,2529,a(flip),b,3137,a),flip(a)]. 3149 T(T(x,K(y,z)),K(u,w)) \ x = K(v5,K(v6,v7)) * K(v8,K(v9,v10)). [para(377(a,2),3081(a,2,1))]. 3150 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(58,a,717,a(flip),b,3092,a)]. 3151 T(K(x,y),z) = K(T(x \ 1,u) \ 1,y). [hyper(2689,a,3117,a),flip(a)]. 3152 T(K(x,y),z) = K(T(1 / x,u) \ 1,y). [hyper(268,a,2096,a,b,3151,a),flip(a)]. 3153 K(T(x \ 1,y) \ 1,z) != u | T(K(x,z),w) = u. [para(3151(a,1),367(a,1))]. 3155 T(K(1 / x,y),z) = K(1 / T(x,u),y). [para(2092(a,1),3152(a,2,1))]. 3156 T(K(1 / T(x,y),z),u) = K(1 / x,z). [hyper(297,a,3155,a)]. 3157 K(1 / T(T(x,y),z),u) = K(1 / x,u). [hyper(58,a,3155,a(flip),b,3156,a)]. 3158 K(1 / T(T(x,x * y),z),u) = K(1 / L(x,y,x),u). [para(580(a,1),3157(a,1,1,2,1))]. 3159 L(x,K(y,z),K(u,w)) != v5 | K(v6,v7) * (K(v7,v6) * x) = v5. [para(3006(a,2),900(a,1))]. 3160 L(T(K(x,y) \ z,u),K(w,v5),K(v6,v7)) = T(K(y,x) * z,u). [para(3034(a,1),20(a,2,1))]. 3166 (K(x,y) * K(z,u)) \ w = K(u,z) * (K(y,x) * w). [hyper(58,a,3034,a(flip),b,3022,a),flip(a)]. 3167 x / (K(y,z) * (K(u,w) * x)) = K(w,u) * K(z,y). [hyper(153,a,3166,a)]. 3168 x / (K(y,z) * (u * (x / u))) = K(z,y) * K(u \ x,u). [para(2724(a,1),3167(a,1,2))]. 3169 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(569,a,3126,a),flip(a)]. 3170 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3126(a,1),569(a,1))]. 3171 K(1 / L(x,y,x),z) = K(1 / x,z). [hyper(58,a,3157,a(flip),b,3158,a),flip(a)]. 3173 (x * y) * K(1 / x,z) = x * (y * K(1 / x,z)). [para(3171(a,1),2972(a,1,2))]. 3174 R(x,y,K(1 / x,z)) = x. [hyper(444,a,3173,a)]. 3175 R(x,y,K(x \ 1,z)) = x. [para(1973(a,1),3174(a,1,3))]. 3176 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(3175(a,1),22(a,2,1))]. 3178 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(58,a,2928,a(flip),b,3176,a),flip(a)]. 3181 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(104,a,3178,a(flip),b,2553,a(flip)),flip(a)]. 3183 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(268,a,2551,a,b,3181,a),flip(a)]. 3184 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(3027(a,1),3183(a,1,2))]. 3185 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(2932(a,1),3041(a,1,1)),flip(a)]. 3186 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(1908,a,3185,a)]. 3187 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(3185(a,2),112(a,1)),flip(b)]. 3188 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(2953(a,1),3042(a,1,1)),flip(a)]. 3191 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(3188(a,1),117(a,1))]. 3192 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(2970(a,1),3063(a,1,1,2))]. 3193 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(153,a,3192,a)]. 3194 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(122,a,3192,a),flip(a)]. 3195 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(87(a,1),3192(a,1,1))]. 3196 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(3193(a,2),107(a,1))]. 3197 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(3069(a,2),3193(a,1,2))]. 3198 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(3194(a,1),214(a,1,2)),flip(b)]. 3199 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [hyper(268,a,2967,a(flip),b,3195,a),flip(a)]. 3200 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(268,a,3136,a(flip),b,3135,a),flip(a)]. 3201 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(58,a,2533,a(flip),b,3200,a),flip(a)]. 3202 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(2457(a,2),3201(a,1,1)),flip(a)]. 3204 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(76(a,1),3202(a,1,1,1,2)),flip(a)]. 3206 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(3204(a,2),2679(a,1,1))]. 3207 T(K(x,y / z),u) = K(x,(y \ z) \ 1). [hyper(3115,a,3206,a)]. 3210 x * K(y,(z \ u) \ 1) = K(y,z / u) * x. [para(3207(a,1),97(a,1,2))]. 3211 K(x,(y \ z) \ 1) != u | K(x,y / z) = u. [para(3207(a,1),198(a,1)),flip(b)]. 3213 K(x,(y / z) \ 1) = K(x,z / y). [hyper(30,a,2839,a,b,3210,a(flip))]. 3214 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(58,a,2980,a,b,3213,a)]. 3215 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(95(a,2),3213(a,1,2,1))]. 3216 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(3213(a,1),2931(a,1,1)),flip(a)]. 3218 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(3214(a,1),456(a,1,1))]. 3219 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(518(a,1),3216(a,1,2)),flip(a)]. 3220 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(58,a,3216,a(flip),b,3215,a)]. 3221 K(x,(x * y) / (z * y)) = K(x,x / z). [hyper(58,a,555,a(flip),b,3220,a),flip(a)]. 3222 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),3220(a,2,2,1))]. 3223 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(7(a,1),3220(a,2,2,2))]. 3224 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(73(a,1),3220(a,1,1,2)),flip(a)]. 3225 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(3221(a,1),3220(a,1,1))]. 3226 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(2744(a,1),3223(a,1,1))]. 3227 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(92(a,2),3224(a,1,2))]. 3228 R(K(x,y),T(y,z),u) = K(x,y). [para(2425(a,1),3224(a,1,2)),flip(a)]. 3229 R(K(x,y),y,z) = K(x,y). [para(96(a,1),3228(a,1,2))]. 3230 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(3228(a,1),94(a,1,1)),flip(a)]. 3231 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(58,a,3066,a(flip),b,3227,a)]. 3232 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(58,a,2331,a(flip),b,3227,a),flip(a)]. 3233 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),3227(a,1,2,2)),flip(a)]. 3234 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(17(a,2),3227(a,1,2,2)),flip(a)]. 3235 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(147(a,1),3227(a,1,2,2)),flip(a)]. 3236 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(58,a,2277,a,b,3232,a)]. 3237 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(58,a,2907,a(flip),b,3232,a)]. 3238 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(58,a,2321,a,b,3237,a)]. 3239 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(58,a,2859,a(flip),b,3233,a)]. 3240 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(3233(a,1),22(a,2,1))]. 3241 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(120,a,3231,a),flip(a)]. 3244 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(58,a,555,a(flip),b,3226,a),flip(a)]. 3247 L(x,T(y,z),K(u,y)) = x. [hyper(416,a,3230,a)]. 3248 L(x,y,K(z,y)) = x. [para(96(a,1),3247(a,1,2))]. 3249 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3248(a,1),420(a,1,2))]. 3250 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(268,a,3079,a(flip),b,3249,a),flip(a)]. 3253 R(x,K(y,x),z) = x. [hyper(444,a,3250,a)]. 3254 L(x,K(y,z),z) = x. [hyper(416,a,3250,a)]. 3255 ((x * y) / x) * z = y * (K(x,y) * z). [para(2572(a,2),3250(a,1,1))]. 3256 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3083(a,2),3250(a,1,1))]. 3258 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(3253(a,1),443(a,1,1,1)),flip(a)]. 3259 L(x,K(y,z),z) != u | u = x. [para(3254(a,1),45(a,1)),flip(a)]. 3260 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(3037(a,1),3259(a,1)),flip(b)]. 3261 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(268,a,3094,a(flip),b,3255,a),flip(a)]. 3262 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(104,a,3255,a,b,xx)]. 3263 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(58,a,3084,a(flip),b,3255,a),flip(a)]. 3264 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(3255(a,1),645(a,1,1))]. 3265 ((x * y) / x) \ z = y \ (z * K(y,x)). [hyper(104,a,3003,a(flip),b,3261,a)]. 3266 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(104,a,2562,a(flip),b,3261,a)]. 3267 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(104,a,2478,a(flip),b,3261,a)]. 3268 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(3261(a,1),2959(a,1,1,1)),flip(a)]. 3269 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(268,a,3070,a,b,3262,a),flip(a)]. 3272 (x * K(y,x)) \ z = x \ (z * K(x,y)). [para(2572(a,1),3265(a,1,1))]. 3273 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(2613(a,2),3267(a,1,1))]. 3277 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(58,a,2727,a(flip),b,3266,a),flip(a)]. 3278 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(2704,a,3269,a(flip))]. 3279 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(5(a,1),3278(a,1,2,1,1))]. 3288 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(597,a,3277,a),flip(a)]. 3289 L(x,y \ (y * z),y) = L(x,z,T(y,y * z)). [para(4(a,1),3288(a,1,2)),flip(a)]. 3290 L(x,y \ (y * z),y) = L(x,z,T(y,z * y)). [para(2781(a,2),3289(a,2,3))]. 3291 L(x,y,T(z,y * z)) = L(x,y,z). [para(4(a,1),3290(a,1,2)),flip(a)]. 3293 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(2847(a,1),3263(a,1,2))]. 3294 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(3293(a,1),505(a,1,2))]. 3295 x / (K(y,z) * (((u \ 1) * x) * R(u,u \ 1,x))) = K(z,y) * K(((u \ 1) * x) \ x,(u \ 1) * x). [para(161(a,2),3168(a,1,2,2,2))]. 3297 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(29,a,3238,a,b,3236,a),flip(a)]. 3300 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3297(a,1),214(a,1,2)),flip(b)]. 3301 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [hyper(473,a,3258,a)]. 3302 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(3301(a,1),444(a,1))]. 3303 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(268,a,3195,a(flip),b,3050,a),flip(a)]. 3304 K(x,y) * (K(y,x) * T(K(z,u) \ w,v5)) = T(K(u,z) * w,v5). [hyper(3159,a,3160,a)]. 3305 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(58,a,306,a(flip),b,3197,a)]. 3306 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(3199(a,1),3198(a,1))]. 3307 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(115,a,3044,a),flip(a)]. 3309 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1416(a,1),3044(a,1,1,2))]. 3311 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3001(a,1),3309(a,1,2,2)),flip(a)]. 3312 T(K(x,y) * z,u) != K(w,v5) * v6 | K(v5,w) * T(K(y,x) \ z,u) = v6. [para(3304(a,1),38(a,1))]. 3313 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(378(a,1),3304(a,1,2)),flip(a)]. 3314 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(3313(a,2),38(a,1))]. 3315 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3233(a,1),3128(a,1,1))]. 3316 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(2744(a,1),3225(a,1,1))]. 3317 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(58,a,2907,a(flip),b,3316,a),flip(a)]. 3318 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(5(a,1),3317(a,1,2,1,1)),flip(a)]. 3319 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(3264(a,1),3317(a,1,2,1))]. 3320 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(58,a,2905,a(flip),b,3318,a),flip(a)]. 3321 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(2562(a,1),3129(a,1,2,2)),flip(a)]. 3322 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(58,a,2975,a(flip),b,2913,a),flip(a)]. 3324 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(58,a,2965,a(flip),b,3145,a)]. 3325 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3074(a,1),3324(a,1,2)),flip(a)]. 3326 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(268,a,406,a(flip),b,3325,a),flip(a)]. 3328 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(104,a,2486,a(flip),b,3073,a),flip(a)]. 3329 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(2462(a,2),2489(a,2,2,1,1))]. 3330 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [hyper(116,a,3329,a)]. 3331 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(3330(a,1),39(a,1))]. 3332 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(751(a,1),2960(a,1,1))]. 3333 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1169(a,1),3332(a,1,1)),flip(a)]. 3334 R(K(x,y) * R(K(y,x),z,u),K(w,v5),v6) = K(x,y) * R(K(y,x),z,u). [para(2679(a,1),2688(a,1,1,2,1))]. 3335 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(4(a,1),2993(a,2,1,1))]. 3339 R(x,T(K(y,z),u),T(K(z,y),w)) = (x * T(K(y,z),u)) * T(K(z,y),v5). [para(3112(a,2),3116(a,1,3))]. 3342 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(58,a,885,a(flip),b,3328,a)]. 3343 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(3(a,1),2911(a,1,1))]. 3344 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(2647,a,3343,a),flip(a)]. 3345 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1398(a,1),3344(a,1,1))]. 3346 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2248(a,1),2929(a,1,2,1,1))]. 3347 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(1975(a,1),3346(a,1,2))]. 3348 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3023,a,3347,a)]. 3349 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(280,a,3347,a)]. 3350 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(58,a,3222,a(flip),b,3218,a),flip(a)]. 3351 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(3302,a,3311,a)]. 3352 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(3351(a,1),3231(a,1,1,2)),flip(a)]. 3353 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(268,a,3016,a(flip),b,3352,a),flip(a)]. 3354 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(58,a,3223,a(flip),b,3353,a)]. 3355 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(268,a,2366,a(flip),b,2368,a),flip(a)]. 3356 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(3012(a,1),3075(a,2,2))]. 3357 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(3356(a,2),419(a,1))]. 3359 L(K(x,y),z,T(u,w)) = L(K(x,y),z,u). [hyper(3357,a,810,a),flip(a)]. 3361 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(2353(a,1),2360(a,1,2))]. 3362 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(58,a,2352,a(flip),b,2361,a)]. 3363 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(630,a,3361,a)]. 3364 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(2351,a,3363,a),flip(a)]. 3366 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(703(a,1),3364(a,1,3)),flip(a)]. 3367 L(x,y,1 / z) = L(x,y,z \ 1). [para(928(a,1),3364(a,1,3)),flip(a)]. 3368 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(2168,a,3366,a)]. 3369 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(58,a,1518,a,b,3367,a)]. 3370 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(823,a,3368,a),flip(a)]. 3372 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(58,a,2414,a(flip),b,3369,a),flip(a)]. 3373 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2073(a,1),3372(a,2,1))]. 3374 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(58,a,3326,a(flip),b,3370,a)]. 3376 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(3374(a,1),2184(a,2,2))]. 3377 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(268,a,2983,a(flip),b,3376,a),flip(a)]. 3379 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(58,a,3355,a(flip),b,3377,a)]. 3381 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(268,a,128,a(flip),b,3379,a),flip(a)]. 3383 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(3381(a,1),2048(a,1,2))]. 3385 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(3383(a,1),3362(a,1,2)),flip(a)]. 3386 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(268,a,3003,a(flip),b,3385,a),flip(a)]. 3390 R(x,K(y \ 1,y),z) = x. [para(5(a,1),3386(a,1,3))]. 3393 R(x,K(y,y \ 1),z) = x. [para(1463(a,1),3390(a,1,2))]. 3398 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(3393(a,1),94(a,1,1)),flip(a)]. 3399 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(2377,a,3398,a)]. 3400 L(x,K(y,y \ 1),z) = x. [hyper(416,a,3398,a)]. 3401 (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). [hyper(3038,a,3400,a)]. 3409 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [para(2013(a,1),3399(a,2,2))]. 3410 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(58,a,287,a,b,3401,a)]. 3411 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3019,a,3409,a)]. 3412 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(30,a,720,a,b,3411,a)]. 3413 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(3411(a,2),13(a,2,2,2)),flip(a)]. 3416 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(58,a,2967,a(flip),b,3412,a)]. 3418 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(3412(a,1),87(a,1,2))]. 3421 R(x,y,K(z \ 1,z)) = x. [hyper(444,a,3418,a)]. 3423 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(3418(a,1),2353(a,1,1))]. 3424 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(2378,a,3421,a),flip(a)]. 3425 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(2354,a,3421,a),flip(a)]. 3426 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(58,a,2355,a(flip),b,3421,a)]. 3427 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(3421(a,1),606(a,1,1))]. 3430 T(x,y * K(z,z \ 1)) = T(x,y). [para(1463(a,1),3425(a,1,2,2))]. 3433 K(x,y * K(z,z \ 1)) = x \ T(x,y). [hyper(104,a,3430,a(flip),b,2553,a(flip)),flip(a)]. 3434 K(x * K(y,y \ 1),z) = z / T(z,x). [para(3430(a,1),2462(a,2,2))]. 3436 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(3424(a,1),3138(a,1,2,1))]. 3437 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(268,a,2551,a,b,3433,a),flip(a)]. 3438 K(x,K(y \ 1,y) * z) = K(x,z). [para(2007(a,1),3437(a,1,2)),flip(a)]. 3440 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(422(a,1),3438(a,1,2))]. 3441 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(3410(a,2),3438(a,1,2))]. 3442 K(x * K(y,y \ 1),z) = K(x,z). [hyper(268,a,2462,a,b,3434,a),flip(a)]. 3443 K(K(x \ 1,x) * y,z) = K(y,z). [para(2007(a,1),3442(a,1,1)),flip(a)]. 3444 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2010(a,1),3442(a,1,1))]. 3445 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(3410(a,2),3443(a,1,1))]. 3446 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2002(a,1),3441(a,1,2,1))]. 3448 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(1825(a,1),3445(a,1,1,1)),flip(a)]. 3450 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [hyper(58,a,288,a,b,3426,a)]. 3451 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(929(a,1),3427(a,1,2)),flip(a)]. 3452 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(3411(a,1),3427(a,1,2))]. 3453 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(2362(a,1),3451(a,1,2))]. 3454 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(58,a,3150,a,b,3436,a)]. 3456 T(x * y,z) / y = y \ T(y * x,z). [para(6(a,1),3454(a,1,2,1,2)),flip(a)]. 3457 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(73(a,1),3454(a,1,2,1,2))]. 3458 T((x \ y) * x,z) / x = x \ T(y,z). [para(72(a,1),3454(a,1,2,1)),flip(a)]. 3459 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(3454(a,1),170(a,1,2,2))]. 3462 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(58,a,3268,a,b,3456,a)]. 3464 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(3456(a,1),99(a,1,1))]. 3465 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(3456(a,1),2947(a,1,2))]. 3470 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(2389(a,1),3458(a,1,1,1))]. 3472 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(99(a,1),3459(a,1,2,2,1)),flip(a)]. 3473 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(268,a,1064,a(flip),b,3457,a),flip(a)]. 3474 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(3473(a,1),3333(a,1,2)),flip(a)]. 3475 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(58,a,3213,a(flip),b,3462,a)]. 3476 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(58,a,1164,a,b,3465,a)]. 3477 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(268,a,2618,a,b,3474,a)]. 3478 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(4(a,1),3477(a,2,2,1)),flip(a)]. 3479 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(3004(a,1),3478(a,1,2))]. 3480 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(106,a,3423,a(flip),b,94,a)]. 3481 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(13(a,2),3452(a,2,1))]. 3482 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(58,a,2840,a(flip),b,3453,a)]. 3483 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3300,a,3482,a),flip(a)]. 3486 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(58,a,2249,a(flip),b,3483,a)]. 3487 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3486(a,1),2801(a,1,2,1))]. 3488 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(2392(a,2),3487(a,1,2,1))]. 3489 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(58,a,3413,a(flip),b,3481,a)]. 3490 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(268,a,191,a,b,3489,a),flip(a)]. 3491 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2006(a,1),3490(a,1,1)),flip(a)]. 3492 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(58,a,2155,a(flip),b,3491,a)]. 3494 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(6(a,1),3492(a,1,1,2,1,2))]. 3496 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(72(a,1),3492(a,1,1,2,1)),flip(a)]. 3499 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(154,a,3496,a),flip(a)]. 3500 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(3496(a,1),87(a,1,2))]. 3501 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(510(a,1),3496(a,2,1,2))]. 3502 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(108,a,3499,a)]. 3503 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(58,a,2543,a(flip),b,3500,a),flip(a)]. 3504 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(253(a,1),3500(a,1,2,1,2))]. 3505 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(2541(a,1),3503(a,1,2)),flip(a)]. 3506 R(x,K(y \ 1,z),z) = x. [hyper(633,a,3505,a)]. 3507 R(x,K(y,z),z) = x. [para(76(a,1),3506(a,1,2,1))]. 3508 R(x,y,K(z,y)) = x. [hyper(2921,a,3507,a)]. 3509 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3507(a,1),449(a,1,1)),flip(a)]. 3510 (x * y) * K(z,y) = x * (y * K(z,y)). [para(3508(a,1),94(a,1,1)),flip(a)]. 3511 L(x,K(y,x),z) = x. [hyper(624,a,3509,a)]. 3514 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(3511(a,1),415(a,1,2,1))]. 3515 L(K(x,y),y,z) = K(x,y). [hyper(416,a,3510,a)]. 3516 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(268,a,2610,a,b,3510,a),flip(a)]. 3517 a(x,y,K(z,y)) = 1. [hyper(103,a,3510,a(flip),b,78,a),flip(a)]. 3520 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(3515(a,1),25(a,1,1)),flip(a)]. 3522 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(3032,a,3516,a)]. 3523 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(471,a,3516,a)]. 3528 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(5(a,1),3522(a,1,1,2,1))]. 3531 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(29,a,2760,a,b,3523,a)]. 3532 K(x,y / z) = K(x,z \ y). [hyper(3211,a,3531,a)]. 3536 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(89(a,2),3531(a,1,2,1))]. 3537 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(3531(a,1),2952(a,1,1)),flip(a)]. 3538 K(x,y \ z) != u | K(x,z / y) = u. [para(3531(a,1),3211(a,1))]. 3539 K(x,y / z) * u = u * K(x,z \ y). [para(3531(a,1),3210(a,1,2)),flip(a)]. 3542 K(x,y \ (z * y)) = K(x,z). [para(6(a,1),3532(a,1,2)),flip(a)]. 3543 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [para(9(a,2),3532(a,2,2))]. 3544 K(x,(y \ z) \ z) = K(x,y). [para(73(a,1),3532(a,1,2)),flip(a)]. 3546 K(x,T(y,z)) = K(x,y). [para(17(a,2),3542(a,1,2))]. 3547 K(x,T(y,z)) = K(x,T(y,u)). [hyper(268,a,3546,a,b,3546,a)]. 3548 K(x,T(y \ z,u)) = K(x,z / y). [hyper(268,a,3532,a,b,3546,a),flip(a)]. 3550 K(x \ (x * y),z) = K(y,T(z,u)). [hyper(268,a,557,a,b,3546,a)]. 3551 K(x,T(y,z)) = K(x,y) * K(u,K(w,v5)). [hyper(268,a,204,a,b,3546,a),flip(a)]. 3552 T(K(x,y),z) = K(x,T(y,u)). [hyper(268,a,126,a,b,3546,a)]. 3553 K(x,T(T(y,z),u)) = K(x,y). [hyper(268,a,3546,a(flip),b,3546,a),flip(a)]. 3556 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,x). [hyper(58,a,548,a,b,3546,a)]. 3558 x * K(y,T(z,u)) = K(y,z) * x. [para(3546(a,1),191(a,1,1)),flip(a)]. 3559 K(x,T(y,z)) * u = u * K(x,y). [para(3546(a,1),191(a,2,2))]. 3561 T(K(x,y),z) != u | K(x,T(y,w)) = u. [para(3546(a,1),284(a,1,1))]. 3562 K(x,T(y,z)) != u | T(K(x,y),w) = u. [para(3546(a,2),298(a,1))]. 3563 K(x,y) * z != z * u | K(x,T(y,w)) = u. [para(3546(a,1),293(a,1,1))]. 3564 K(x,T(y,z)) * u != u * w | K(x,y) = w. [para(3546(a,2),293(a,1,1))]. 3566 x * L(K(y,T(z,u)),w,v5) = L(K(y,z),w,v5) * x. [para(3546(a,1),528(a,1,1,1)),flip(a)]. 3567 x * R(K(y,T(z,u)),w,v5) = R(K(y,z),w,v5) * x. [para(3546(a,1),536(a,1,1,1)),flip(a)]. 3568 T(x,T(y,z)) * u = x * (u * K(x,y)). [para(3546(a,1),2669(a,1,2,2)),flip(a)]. 3570 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(3546(a,1),2599(a,1,2))]. 3571 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(3546(a,1),2995(a,1,2))]. 3572 R(x,K(y,z),T(z,u)) = x. [para(3546(a,1),3507(a,1,2))]. 3573 a(x,T(y,z),K(u,y)) = 1. [para(3546(a,1),3517(a,1,3))]. 3574 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(3057,a,3572,a)]. 3575 L(K(x,y),T(y,z),u) = K(x,y). [hyper(47,a,3573,a)]. 3586 K(x,T(L(y,z,u),w)) = K(x,L(T(y,v5),z,u)). [para(20(a,2),3547(a,1,2)),flip(a)]. 3593 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),v5)). [hyper(58,a,3240,a,b,3552,a)]. 3594 K(x,T(y,z)) != u | K(x,y) = u. [para(3552(a,1),198(a,1)),flip(b)]. 3596 L(K(x,T(T(y,z),u)),w,v5) = (v5 * (K(x,y) * w)) / (v5 * w). [para(3553(a,1),730(a,1,1,2,1)),flip(a)]. 3597 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(58,a,2848,a,b,3575,a)]. 3598 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(3575(a,1),415(a,1,2,1))]. 3602 K(x,y) != z | K(x,T(y,u)) = z. [para(3553(a,1),3594(a,1))]. 3603 K(x,y / z) != u | K(x,T(z \ y,w)) = u. [para(3532(a,2),3602(a,1))]. 3604 K(x,T(T(y,z),u)) != w | K(x,T(y,v5)) = w. [para(3553(a,2),3602(a,1))]. 3605 K(x,T(y \ (x * z),u)) = K(x,(y / z) \ x). [hyper(268,a,3244,a(flip),b,3548,a),flip(a)]. 3606 K(x,y / z) != u | K(x,z \ y) = u. [para(3548(a,1),3594(a,1))]. 3607 K(x \ (x * y),z) != u | K(y,z) = u. [para(3550(a,2),3594(a,1))]. 3608 T(x,T(y,z)) = T(x,y). [hyper(30,a,2663,a(flip),b,3558,a),flip(a)]. 3609 L(K(x,y),z,x) * u = u * K(x,T(y,w)). [para(2772(a,2),3558(a,2,1)),flip(a)]. 3612 T(x,T(y,z)) = T(x,T(y,u)). [hyper(268,a,3608,a,b,3608,a)]. 3615 T(x,T(y,z)) = L(T(x,y),u,K(u,w)). [hyper(268,a,328,a,b,3608,a),flip(a)]. 3618 T(x,y) \ (T(x,y) / R(x,z,u)) = T(1 / R(x,z,u),x). [hyper(58,a,1411,a,b,3608,a)]. 3620 x * T(y,T(x,z)) = y * x. [para(3608(a,2),97(a,1,2))]. 3621 T(x,y / z) = T(x,z \ y). [para(99(a,1),3608(a,1,2)),flip(a)]. 3623 T(x,y) * T(z,x) != u | z * T(x,y) = u. [para(3608(a,1),232(a,1,2))]. 3626 K(T(x,y),z) = z / T(z,x). [para(3608(a,1),2462(a,2,2))]. 3631 T(T(T(x,y) / (T(x,y) / z),x),u) = L(T(z,u),z \ T(x,y),z). [para(3608(a,1),3111(a,1,1))]. 3663 T(x,T(y,z)) != x * u | K(x,T(y,w)) = u. [para(3612(a,1),2560(a,1))]. 3665 T(x,T(y,z)) = y \ T(x * y,K(u,w)). [hyper(104,a,187,a,b,3620,a),flip(a)]. 3666 T(T(x,y / z),K(u,w)) = T(x,z \ y). [hyper(365,a,3621,a)]. 3669 K(T(x,y),z) = K(x,z). [hyper(268,a,2462,a,b,3626,a),flip(a)]. 3670 K(T(x,y),T(z,u)) = K(x,z). [hyper(3602,a,3669,a)]. 3671 K(T(x,y),z) = K(x,T(z,u)). [hyper(3594,a,3669,a)]. 3674 K(R(T(x,y),z,u),w) = K(R(x,z,u),w). [para(22(a,2),3669(a,1,1))]. 3675 K(x / y,z) = K(y \ x,z). [para(99(a,1),3669(a,1,1)),flip(a)]. 3676 K((x \ y) \ y,z) = K(x,z). [para(98(a,1),3669(a,1,1))]. 3677 x * K(T(y,z),u) = K(y,u) * x. [para(3669(a,1),191(a,1,1)),flip(a)]. 3680 K(T(x,y),T(z,u)) != w | K(x,z) = w. [para(3669(a,2),3594(a,1))]. 3682 K(L(T(x,y),z,u),T(w,v5)) = K(L(x,z,u),w). [para(20(a,2),3670(a,1,1))]. 3683 K(T(x,y),R(T(z,u),w,v5)) = K(x,R(z,w,v5)). [para(22(a,2),3670(a,1,2))]. 3684 K(x \ y,T(z,u)) = K(y / x,z). [para(99(a,1),3670(a,1,1))]. 3685 K(L(x \ y,z,u),T(w,v5)) = K(L(y / x,z,u),w). [para(182(a,1),3670(a,1,1))]. 3686 x * K(T(x,y),T(z,u)) = T(x,z). [para(3670(a,2),2553(a,2,2)),flip(a)]. 3687 R(K(x,y),T(y,z) * u,w) = K(T(x,v5),R(T(y,z),u,w)). [para(3670(a,1),3233(a,1,1))]. 3688 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,v5)) * v6)) = R(T(y,z),u,w) * v6. [para(3670(a,1),3309(a,1,1))]. 3689 K(x,T(y,z)) = K(y,T(x,u)) \ 1. [hyper(2690,a,3671,a),flip(a)]. 3690 K(T(T(x,y),z),u) = K(x,T(T(u,w),v5)). [hyper(268,a,3671,a(flip),b,3671,a),flip(a)]. 3691 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,v5)). [para(22(a,2),3671(a,1,1))]. 3692 K((x \ y) \ y,z) = K(x,T(z,u)). [para(98(a,1),3671(a,1,1))]. 3693 T(x,T(y,z)) = x / K(y,T(x,u)). [para(3671(a,1),2467(a,2,2))]. 3696 K(x / y,z) * u = u * K(y \ x,z). [para(3675(a,1),191(a,2,2))]. 3698 T(K(x / y,z),u) != w | K(y \ x,z) = w. [para(3675(a,2),284(a,1,1))]. 3704 K(x / y,T(z,u)) != w | K(y \ x,z) = w. [para(3675(a,2),3594(a,1))]. 3709 R(T(K(x,T(y,z)),u * w),u,w) = (u * w) \ ((u * K(x,y)) * w). [para(3559(a,1),532(a,1,2,1)),flip(a)]. 3710 (x * y) * K(T(y,z),u) = T(y,u) * T(x,y). [hyper(268,a,2657,a(flip),b,3677,a),flip(a)]. 3712 (x * (K(y,z) * u)) * L(K(z,T(y,w)),u,x) = x * u. [para(3677(a,1),3194(a,1,1,2))]. 3713 L(K(x,T(y,z)),u,w) = (w * (K(y,x) * u)) \ (w * u). [para(3677(a,1),3195(a,1,1,2)),flip(a)]. 3715 K(a(x,y,z),T(u,w)) = K(((x * y) * z) / (x * (y * z)),u). [para(9(a,2),3684(a,1,1))]. 3717 K(x / y,z) != u | K(y \ x,z) = u. [para(3684(a,1),3594(a,1))]. 3718 (x * K(y,x)) * K(x,T(z,u)) = T(x * K(y,x),z). [para(2600(a,1),3686(a,1,2,1))]. 3719 K((x \ y) \ y,z) != u | K(x,z) = u. [para(3692(a,2),3594(a,1))]. 3720 K(x,T(y \ z,u)) != w | K(x,z / y) = w. [para(3546(a,2),3538(a,1))]. 3721 K(T(x,y),z \ u) != w | K(x,u / z) = w. [para(3669(a,2),3538(a,1))]. 3728 K(K(x,y) \ z,u) != w | K(z * K(y,x),u) = w. [para(3003(a,1),3607(a,1,1,2))]. 3729 T(x,T(y,z)) != u | T(x,y) = u. [para(3615(a,2),330(a,1))]. 3734 K(L(T(x,y),z,u),T(w,v5)) != v6 | K(L(x,z,u),w) = v6. [para(20(a,2),3680(a,1,1))]. 3735 K(T(x,y),R(T(z,u),w,v5)) != v6 | K(x,R(z,w,v5)) = v6. [para(22(a,2),3680(a,1,2))]. 3740 K(x \ y,z) != u | K(y / x,z) = u. [para(76(a,1),3719(a,1,1,1))]. 3742 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(104,a,3010,a(flip),b,3539,a(flip))]. 3743 K(x,(y / z) \ 1) * u = u * K(x,y \ z). [para(3213(a,2),3539(a,1,1))]. 3744 L(K(x,T(y,z)),u,w) = (v5 * L(K(x,y),u,w)) / v5. [para(3551(a,2),2612(a,1,1))]. 3745 R(K(x,y),T(y,T(z,u)) * w,v5) = K(x,R(y,w * K(y,z),v5)). [para(3568(a,2),3233(a,1,2))]. 3746 T(x,y / z) * K(u,w) = K(u,w) * T(x,z \ y). [para(3666(a,1),97(a,1,2)),flip(a)]. 3747 x * T(x \ y,z) = y * K(x \ y,z). [hyper(3119,a,3696,a)]. 3748 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(3696(a,1),3119(a,1))]. 3751 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(681(a,1),3742(a,1,1))]. 3752 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1159(a,1),3742(a,1,1))]. 3753 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1081(a,1),3742(a,1,1))]. 3754 (T(x,y) * z) * ((x * z) \ u) = u * K((z * ((x * z) \ u)) \ u,y). [hyper(2180,a,3747,a)]. 3755 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(58,a,717,a(flip),b,3747,a)]. 3756 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(104,a,1215,a(flip),b,3747,a(flip))]. 3758 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(29,a,2539,a(flip),b,3747,a(flip))]. 3759 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(3747(a,2),214(a,1,2)),flip(b)]. 3760 L(T(x \ y,z) \ u,T(x \ y,z),x) = (y * K(x \ y,z)) \ (x * u). [para(3747(a,1),89(a,2,1))]. 3761 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(3747(a,1),1655(a,2,1))]. 3763 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(58,a,2961,a(flip),b,3758,a)]. 3765 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(17(a,2),3758(a,1,1,1))]. 3767 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(89(a,2),3758(a,1,1,1))]. 3768 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(3758(a,1),2958(a,1,2))]. 3769 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(3758(a,1),2967(a,1,1)),flip(a)]. 3771 T(K(x,y),z) = K(((x \ 1) * u) \ u,y). [hyper(3153,a,3765,a)]. 3773 R(T(L(K(x,y),z,x),u),w,w \ u) = u \ ((w * K(x,T(y,v5))) * (w \ u)). [para(3609(a,1),587(a,1,2,1)),flip(a)]. 3774 K(x,y) * (z * x) = z * T(x,y). [hyper(3623,a,2657,a(flip)),flip(a)]. 3775 (x * T(y,z)) * K(z,y) = x * y. [hyper(3029,a,3774,a)]. 3777 (x * y) * K(y,z) = x * T(y,z). [hyper(301,a,3774,a)]. 3780 T(K(x,y),z) * (u * x) = u * T(x,y). [hyper(58,a,186,a,b,3774,a)]. 3781 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(104,a,3774,a(flip),b,191,a(flip))]. 3782 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [para(278(a,1),3774(a,1,2))]. 3783 K(x,y) * ((y * R(x,z,u)) * x) != w | (x * y) * R(x,z,u) = w. [para(3774(a,2),1448(a,1))]. 3784 K(R(x,y,x),z) * T(x * y,x) = y * T(R(x,y,x),z). [para(2804(a,1),3774(a,1,2))]. 3785 K(x,T(y,z)) * (u * x) = u * T(x,y). [para(3546(a,2),3774(a,1,1))]. 3786 (x / T(y,z)) * y = x * K(z,y). [hyper(272,a,3775,a),flip(a)]. 3788 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(3775(a,1),439(a,1,2)),flip(a)]. 3789 L(K(x,y),x,z) = K(x,y). [hyper(2589,a,3777,a)]. 3790 (x / y) * T(y,z) = x * K(y,z). [hyper(272,a,3777,a),flip(a)]. 3792 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(3777(a,1),463(a,1,2))]. 3793 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(3777(a,1),439(a,1,1))]. 3795 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(3789(a,1),506(a,1,2,1))]. 3798 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(3781(a,1),213(a,1,2))]. 3800 x * K(y,z) != u * z | x / T(z,y) = u. [para(3786(a,1),39(a,1))]. 3802 (x * K(y,z)) * T(z,y) = x * z. [para(3786(a,1),1085(a,1,1))]. 3803 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(3786(a,1),3777(a,1,1)),flip(a)]. 3806 (x * K(y,z)) * y = x * T(y,z). [para(3790(a,1),1086(a,1,1))]. 3807 (x / y) * K(z,y) = x / T(y,z). [hyper(106,a,7,a(flip),b,3802,a),flip(a)]. 3808 (x * K(y \ z,y)) * ((y \ z) \ z) = x * y. [hyper(58,a,265,a(flip),b,3802,a)]. 3810 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(3777(a,1),3802(a,1,1))]. 3812 x * T(y * K(x,z),x) = y * T(x,z). [hyper(233,a,3806,a)]. 3813 T(x * K(y,z),y) = y \ (x * T(y,z)). [hyper(228,a,3806,a)]. 3814 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(108,a,3806,a)]. 3816 (x / T(y,z)) * K(y,z) = x / y. [hyper(106,a,7,a(flip),b,3806,a),flip(a)]. 3818 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(104,a,3790,a(flip),b,3806,a)]. 3819 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [hyper(104,a,3806,a(flip),b,3802,a)]. 3820 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(3806(a,1),9(a,2,1,2)),flip(a)]. 3823 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(2709(a,1),3806(a,1,1))]. 3824 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [para(2710(a,2),3806(a,1,1))]. 3825 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(3806(a,1),2874(a,1,2,1))]. 3826 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(3510(a,1),3806(a,1,1))]. 3827 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(104,a,3807,a(flip),b,3256,a(flip)),flip(a)]. 3830 x / T(y,T(z,u)) = (x / y) * K(z,T(y,w)). [para(3671(a,1),3807(a,1,2)),flip(a)]. 3832 L(x,K(x,y),z) = x. [hyper(2564,a,3814,a)]. 3836 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(3832(a,1),415(a,1,2,1))]. 3838 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(3832(a,1),3494(a,1,1,2)),flip(a)]. 3839 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(99(a,1),3816(a,1,1,2))]. 3842 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(3810(a,1),2635(a,1,2))]. 3845 T(K(R(x,y,(x * y) \ z),u),w) != v5 | K((y * ((x * y) \ z)) \ z,u) = v5. [para(93(a,2),3698(a,1,1,1))]. 3846 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(3204(a,1),3698(a,1))]. 3852 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(3528(a,1),3802(a,1,1))]. 3853 K(x,L(T(y,z),u,w)) = K(x,L(T(y,v5),u,w)). [hyper(58,a,3586,a(flip),b,3586,a)]. 3854 K(x,T(y \ (x * z),u)) * w = w * K(x,T((y / z) \ x,v5)). [para(3605(a,2),3558(a,2,1)),flip(a)]. 3855 K(T(x,L(x,y,z) * u),T(w,v5)) = K(L(x,u,L(x,y,z)),w). [para(1265(a,1),3682(a,1,1))]. 3856 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(58,a,2963,a,b,3710,a)]. 3857 K(x,T((y / z) \ 1,u)) = K(x,y \ z). [hyper(3563,a,3743,a)]. 3859 K(x,T(y \ 1,z)) = K(x,(y * u) \ u). [para(6(a,1),3857(a,1,2,1,1))]. 3860 K(x,T(y \ 1,z)) = K(x,u \ (y \ u)). [para(73(a,1),3857(a,1,2,1,1))]. 3861 K(x,(y * z) \ z) = K(x,u \ (y \ u)). [hyper(58,a,3859,a(flip),b,3860,a)]. 3862 K((x \ 1) \ y,x) = K(x * y,x). [hyper(3133,a,3755,a),flip(a)]. 3863 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(3755(a,1),3464(a,1,1))]. 3864 (K(x \ y,x) * z) * ((x \ y) \ y) = z * x. [hyper(473,a,3808,a)]. 3867 x / T(y / z,T(u,w)) = (x / (y / z)) * K(u,z \ y). [para(99(a,1),3830(a,2,2,2))]. 3869 K(x,L(T(y * K(z,y),u),w,v5)) = K(x,L(L(y,z,y * K(z,y)),w,v5)). [para(2607(a,1),3853(a,1,2,1)),flip(a)]. 3871 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1014(a,1),3759(a,1,2))]. 3872 L(x * y,K(y * x,z),u) = x * y. [para(4(a,1),3838(a,2,1))]. 3873 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(3872(a,1),87(a,1,2))]. 3874 K(x,(y \ z) \ z) = (T(y,y \ u) * x) \ (x * ((y \ u) \ u)). [hyper(268,a,3544,a,b,3556,a)]. 3877 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(2845(a,1),3574(a,1,2)),flip(a)]. 3878 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(2896(a,1),3574(a,1,2)),flip(a)]. 3879 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(3877(a,1),3806(a,1,1)),flip(a)]. 3880 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,v5),u,w)). [para(22(a,2),3593(a,2,2))]. 3881 K(L(x / y,y,z),u) = K((z * y) \ (z * x),T(u,w)). [para(89(a,1),3685(a,1,1)),flip(a)]. 3882 x * (K(y,x) * K(x,T(z,u))) = T(x * K(y,x),z). [hyper(58,a,3250,a(flip),b,3718,a)]. 3883 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(268,a,2841,a(flip),b,3746,a),flip(a)]. 3884 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(3846,a,3763,a),flip(a)]. 3886 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(3768(a,1),3051(a,1,1))]. 3887 (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. [hyper(268,a,438,a,b,3852,a),flip(a)]. 3888 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,v5),u,w)). [para(3552(a,1),3880(a,1,1))]. 3889 R(K(x,T(y,z)),u,w) = K(x,R(T(y,v5),y \ u,w)). [para(5(a,1),3888(a,1,2))]. 3890 K(x,T(y,z)) = K(x,R(T(y,u),y \ 1,w)). [hyper(339,a,3889,a)]. 3891 T(K(x,y),z) = K(x,R(T(y,u),y \ 1,w)). [hyper(3562,a,3890,a)]. 3892 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(58,a,3537,a(flip),b,3536,a)]. 3894 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(5(a,1),3892(a,2,2,1))]. 3895 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(5(a,1),3892(a,2,2,2))]. 3896 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(76(a,1),3892(a,1,1,2)),flip(a)]. 3899 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(3894(a,1),20(a,2,1))]. 3900 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(90(a,2),3896(a,1,2))]. 3901 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),3900(a,1,2,2)),flip(a)]. 3902 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(58,a,3520,a,b,3901,a)]. 3903 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(58,a,3412,a(flip),b,3901,a),flip(a)]. 3904 K(x,L(y,z,y)) = K(x,y). [hyper(58,a,3127,a(flip),b,3901,a),flip(a)]. 3905 K(x,L(y,z,x)) = K(x,y). [hyper(58,a,2772,a(flip),b,3901,a),flip(a)]. 3906 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(58,a,808,a(flip),b,3901,a),flip(a)]. 3907 T(x,L(y,z,y)) = x * K(x,y). [para(3904(a,1),2553(a,2,2))]. 3908 K(x,R(y,z,y)) = K(x,y). [para(3322(a,1),3904(a,1,2)),flip(a)]. 3909 K(x,L(y,z,x)) = 1 / K(y,x). [hyper(268,a,2680,a,b,3905,a),flip(a)]. 3910 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),3905(a,1,2))]. 3911 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(253(a,1),3905(a,1,2))]. 3912 K(x,(x \ 1) \ y) = K(x,x * y). [para(510(a,1),3905(a,1,2)),flip(a)]. 3913 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(3026(a,1),3905(a,1,2))]. 3914 K(x,L(L(y,z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(25(a,1),3906(a,1,2))]. 3915 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(3022(a,1),3906(a,1,2))]. 3916 T(x,L(y,z,y)) = T(x,y). [hyper(2588,a,3907,a),flip(a)]. 3917 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(388,a,3916,a),flip(a)]. 3919 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(3916(a,1),97(a,1,2))]. 3920 T(x,R(y,z,y)) = T(x,y). [para(3322(a,1),3916(a,1,2)),flip(a)]. 3921 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(388,a,3920,a),flip(a)]. 3922 T(x / y,R(y,z,y)) = y \ x. [hyper(384,a,3920,a)]. 3923 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(3920(a,1),97(a,1,2))]. 3924 K(L(x,y,z),z) = K(x,z). [hyper(2689,a,3909,a)]. 3925 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),3924(a,1,1))]. 3926 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(253(a,1),3924(a,1,1))]. 3927 T(x,L(y,z,x)) = K(y,x) \ x. [para(3924(a,1),2459(a,2,1))]. 3928 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(3026(a,1),3924(a,1,1))]. 3929 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(3922(a,1),97(a,1,2))]. 3930 T(x,L(y,z,x)) = T(x,y). [hyper(268,a,2459,a,b,3927,a),flip(a)]. 3931 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(253(a,1),3930(a,1,2))]. 3932 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(426(a,1),3930(a,1,2)),flip(a)]. 3933 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(268,a,3416,a,b,3903,a)]. 3934 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(3903(a,2),1841(a,1,1))]. 3935 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(58,a,3752,a,b,3911,a)]. 3936 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(5(a,1),3911(a,1,2,1)),flip(a)]. 3937 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(406(a,1),3911(a,1,2,1)),flip(a)]. 3938 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(3917(a,1),97(a,1,2)),flip(a)]. 3939 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(99(a,1),3919(a,1,2))]. 3942 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(58,a,3884,a,b,3926,a)]. 3943 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(58,a,2536,a,b,3926,a)]. 3944 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(5(a,1),3926(a,1,1,1)),flip(a)]. 3945 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(97(a,1),3931(a,1,2,1)),flip(a)]. 3946 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(3901(a,1),3902(a,1,1))]. 3947 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(104,a,3570,a(flip),b,2669,a),flip(a)]. 3948 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(104,a,3571,a(flip),b,2669,a),flip(a)]. 3949 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(3571(a,1),13(a,2,2,2)),flip(a)]. 3950 L(K(x,T(T(y,z),u)),w,v5) = (v5 * w) / (v5 * (K(y,x) * w)). [para(3712(a,1),3744(a,2,1))]. 3951 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(58,a,3769,a(flip),b,3767,a)]. 3952 K((K(x,y) * z) \ (K(x,y) * u),w) = K(z \ u,w). [hyper(58,a,808,a(flip),b,3951,a),flip(a)]. 3953 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(5(a,1),3951(a,2,1,1))]. 3954 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(5(a,1),3951(a,2,1,2))]. 3955 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(76(a,1),3951(a,1,1,1)),flip(a)]. 3956 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(89(a,2),3951(a,2,1))]. 3957 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(3862(a,1),3951(a,1,1))]. 3958 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(1514(a,1),3956(a,2,1))]. 3959 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(598(a,2),3956(a,2,1))]. 3960 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(58,a,3946,a(flip),b,3953,a)]. 3961 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(58,a,3894,a(flip),b,3953,a)]. 3962 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(58,a,3515,a(flip),b,3953,a)]. 3963 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(90(a,2),3955(a,1,1))]. 3964 L(K(T(x,y),T(z,u)),w,v5) = K(L(x,w / T(x,y),v5),z). [hyper(3734,a,3963,a),flip(a)]. 3965 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(6(a,1),3963(a,1,1,2)),flip(a)]. 3966 K(L(x,y,z),y * x) = K(x,y * x). [hyper(58,a,3515,a(flip),b,3965,a),flip(a)]. 3967 K(L(x,y,x),z) = K(x,z). [hyper(58,a,2772,a(flip),b,3965,a),flip(a)]. 3968 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(58,a,808,a(flip),b,3965,a),flip(a)]. 3969 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(3965(a,1),508(a,1,2))]. 3970 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(3905(a,1),3965(a,1,1)),flip(a)]. 3971 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(3967(a,1),2555(a,1,1))]. 3972 K(R(x,y,x),z) = K(x,z). [para(3322(a,1),3967(a,1,1)),flip(a)]. 3974 R(K(x,y),z,x) = K(x,y). [hyper(58,a,2905,a(flip),b,3972,a)]. 3975 x * K(R(x,y,x),z) = T(x,z). [para(3972(a,2),2553(a,2,2)),flip(a)]. 3977 K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). [para(3972(a,1),3349(a,1,1))]. 3978 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(58,a,3223,a(flip),b,3974,a)]. 3979 (K(x,y) * z) * x = K(x,y) * (z * x). [para(3974(a,1),94(a,1,1)),flip(a)]. 3980 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(3974(a,1),3128(a,1,1)),flip(a)]. 3981 T(x,L(y,z,K(u,w))) = (K(y,x) / x) \ 1. [para(3968(a,1),2482(a,2,1,1))]. 3982 K(L(x,y,z),y * x) = K(x,x * y). [hyper(268,a,2798,a(flip),b,3966,a),flip(a)]. 3983 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(104,a,3971,a(flip),b,2574,a)]. 3984 L(x,y,K(x,z)) = x. [hyper(416,a,3979,a)]. 3987 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(3984(a,1),414(a,1,2,1))]. 3988 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(268,a,2482,a,b,3981,a),flip(a)]. 3989 T(x,(K(y,z) * u) \ (K(y,z) * w)) = T(x,u \ w). [para(89(a,1),3988(a,1,2))]. 3990 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(3983(a,1),2740(a,1,2))]. 3991 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(268,a,3444,a(flip),b,3958,a),flip(a)]. 3992 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(3031,a,3969,a)]. 3993 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(3969(a,1),3054(a,1)),flip(a)]. 3994 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(268,a,3965,a(flip),b,3970,a),flip(a)]. 3995 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(426(a,1),3994(a,1,2)),flip(a)]. 3997 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(29,a,2674,a,b,3977,a)]. 3998 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(3842(a,1),569(a,1))]. 4001 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(5(a,1),3856(a,1,1,1)),flip(a)]. 4002 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(58,a,3803,a(flip),b,3879,a)]. 4003 R(x,y / z,z) * (u * (u \ y)) = (x * (z \ y)) * T(z,z \ y). [hyper(268,a,128,a,b,3887,a)]. 4004 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(3184(a,1),3895(a,1,1))]. 4005 L(K(x,x * (y \ z)),y \ z,y) = K(x,(y * (x \ 1)) \ z). [para(3912(a,1),3895(a,1,1))]. 4006 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(58,a,2967,a(flip),b,3934,a)]. 4007 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(3954(a,1),408(a,1,2)),flip(a)]. 4008 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(3862(a,1),3954(a,1,1))]. 4009 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(268,a,3933,a(flip),b,4006,a),flip(a)]. 4011 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [hyper(105,a,4009,a(flip),b,3008,a),flip(a)]. 4012 R(x,K(y,z),L(z,u,w)) = x. [hyper(444,a,3514,a)]. 4013 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(3546(a,1),4012(a,1,2))]. 4014 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(4013(a,1),464(a,1,1))]. 4015 T(x,y) \ (R(x,z,u) \ T(x,y)) = T(1 / R(x,z,u),x). [para(3470(a,1),3618(a,1,2))]. 4016 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(268,a,3683,a(flip),b,3687,a),flip(a)]. 4018 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(681(a,1),3751(a,1,1,2))]. 4019 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(1014(a,1),3751(a,1,1,2))]. 4020 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1215(a,1),3751(a,1,1,2))]. 4021 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(104,a,3761,a(flip),b,3747,a(flip))]. 4022 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(76(a,1),4021(a,1,2,1,2,1)),flip(a)]. 4023 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(301,a,3827,a)]. 4024 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(104,a,3883,a(flip),b,2577,a)]. 4026 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(3670(a,1),3964(a,1,1)),flip(a)]. 4027 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(149(a,1),4026(a,1,1,2)),flip(a)]. 4028 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(217(a,1),4026(a,1,1,2))]. 4030 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(58,a,3901,a(flip),b,4027,a),flip(a)]. 4031 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(58,a,3894,a(flip),b,4027,a),flip(a)]. 4032 K(L(x,y,z),x * y) = K(x,x * y). [hyper(58,a,3515,a(flip),b,4027,a),flip(a)]. 4033 K(L(x,x \ 1,y),z) = K(x,z). [hyper(268,a,334,a(flip),b,4028,a),flip(a)]. 4034 K(L(R(1 / x,x,y),x * y,z),u) = L(K(R(1 / x,x,y),u),y,z). [para(350(a,1),4028(a,1,1,2))]. 4035 K(T(x,y),T(z,u)) = K(L(x,T(x,y) \ 1,w),z). [hyper(3734,a,4033,a),flip(a)]. 4036 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(3680,a,4035,a),flip(a)]. 4038 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(2466(a,1),4036(a,1,1,2))]. 4039 L(K(x,y),K(z,x),u) = K(x,y). [hyper(58,a,4028,a(flip),b,4038,a)]. 4041 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(4039(a,1),87(a,1,2))]. 4043 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(4039(a,1),414(a,1,2,1))]. 4044 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(4039(a,1),421(a,1,2))]. 4045 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3032,a,4041,a)]. 4046 R(x,K(y,z),K(z,u)) = x. [hyper(444,a,4041,a)]. 4047 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(58,a,4002,a(flip),b,4041,a),flip(a)]. 4049 T(x * K(y,z),K(u,w)) = K(v5,z) * (x * (K(y,z) * K(z,v5))). [para(4041(a,1),3013(a,2,2))]. 4050 R(x,T(K(y,z),u),K(z,w)) = x. [para(126(a,2),4046(a,1,2))]. 4051 (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(4046(a,1),1863(a,1,1,1))]. 4052 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2970(a,1),4046(a,1,2))]. 4053 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(126(a,2),4050(a,1,3))]. 4054 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(4052(a,1),94(a,1,1)),flip(a)]. 4055 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(4052(a,1),465(a,1,1))]. 4056 x / T(K(y,z),u) = x * T(K(z,y),w). [hyper(106,a,4053,a(flip),b,3339,a(flip))]. 4057 K(x,K(y,z)) * u = (T(K(w,v5),v6) * u) * T(K(v5,w),v7). [hyper(58,a,899,a(flip),b,4056,a)]. 4058 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [hyper(3032,a,4044,a)]. 4059 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(3807(a,1),4044(a,1,1)),flip(a)]. 4060 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(30,a,4045,a,b,4058,a(flip))]. 4062 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(115,a,4060,a)]. 4063 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [hyper(106,a,4060,a(flip),b,282,a)]. 4064 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(2752,a,4062,a),flip(a)]. 4065 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [hyper(268,a,282,a,b,4062,a),flip(a)]. 4068 (x * (K(y,z) * K(z,u))) \ x = K(u,z) * K(z,y). [hyper(150,a,4065,a)]. 4069 T(x * K(y,x),z) \ x = K(T(z,u),x) * K(x,y). [para(3882(a,1),4068(a,1,1))]. 4070 K(T(x * y,z),y) * K(y,x) = L(y,x,y) \ y. [para(2792(a,1),4069(a,1,1)),flip(a)]. 4071 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(96(a,1),4070(a,1,1,1))]. 4072 L(x,y,x) \ x = x \ R(x,y,x). [hyper(58,a,2873,a(flip),b,4071,a),flip(a)]. 4073 (x \ R(x,y,x)) \ x = L(x,y,x). [para(4072(a,1),3502(a,1,1))]. 4074 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(2897(a,1),4047(a,1,2)),flip(a)]. 4075 (1 / R(x,y,x)) * x != z | x \ L(x,y,x) = z. [para(4074(a,2),107(a,1))]. 4076 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(444,a,3987,a)]. 4077 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(3987(a,1),2677(a,1,1,2))]. 4078 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(58,a,3223,a(flip),b,4076,a)]. 4079 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(58,a,2907,a(flip),b,4076,a)]. 4080 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(4079(a,1),3349(a,1,1))]. 4081 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(3795(a,2),3995(a,2,2,2)),flip(a)]. 4082 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(1668,a,4015,a),flip(a)]. 4084 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(58,a,3345,a,b,4082,a)]. 4085 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(58,a,2393,a(flip),b,4084,a)]. 4086 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(228,a,4085,a)]. 4087 (K(x,K(y,z)) * u) * w = ((T(K(v5,v6),v7) * u) * (T(K(v6,v5),v8) * w)) * a(T(K(v5,v6),v7) * u,T(K(v6,v5),v8),w). [para(4057(a,2),78(a,2,1)),flip(a)]. 4088 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(268,a,3878,a(flip),b,4059,a),flip(a)]. 4089 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(268,a,3483,a(flip),b,4086,a),flip(a)]. 4090 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(50,a,4089,a)]. 4091 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(4090(a,1),2608(a,1,1,1))]. 4092 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(4091(a,1),1634(a,1,1)),flip(a)]. 4093 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(104,a,3501,a(flip),b,406,a),flip(a)]. 4094 L(K(x,T(T(y,z),u)),w,v5) = K((v5 * w) / (v5 * (x \ w)),y). [hyper(268,a,2956,a,b,3596,a),flip(a)]. 4095 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,w)). [para(2375(a,2),3715(a,2,1)),flip(a)]. 4097 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(3680,a,3855,a),flip(a)]. 4100 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),v5)). [hyper(268,a,3552,a(flip),b,3899,a),flip(a)]. 4101 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(2681,a,4011,a)]. 4102 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [hyper(268,a,4097,a(flip),b,4101,a),flip(a)]. 4103 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(104,a,4102,a(flip),b,1461,a(flip))]. 4104 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(104,a,4103,a(flip),b,1471,a(flip)),flip(a)]. 4105 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(410(a,1),4031(a,2,2))]. 4106 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(58,a,3950,a(flip),b,4094,a),flip(a)]. 4107 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),u). [hyper(268,a,3546,a(flip),b,4095,a),flip(a)]. 4109 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),w) = K(a(K(y,x),z,u),w). [para(3004(a,1),4107(a,1,1,1))]. 4110 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),v5)). [para(3552(a,1),4100(a,1,1))]. 4111 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),w)). [hyper(58,a,3789,a(flip),b,4110,a)]. 4112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),w)). [hyper(58,a,2772,a(flip),b,4110,a)]. 4113 K(x,T(y \ (x * z),u)) = K(x,z / (x \ y)). [hyper(3720,a,4112,a),flip(a)]. 4114 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(3720,a,4113,a)]. 4115 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(58,a,3605,a(flip),b,4113,a),flip(a)]. 4116 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(5(a,1),4114(a,1,2,1)),flip(a)]. 4117 K(x,((x * y) / z) \ x) = K(x,z / y). [para(4(a,1),4115(a,1,2,2)),flip(a)]. 4118 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(4115(a,1),3222(a,1,1))]. 4119 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(58,a,4016,a(flip),b,3745,a),flip(a)]. 4121 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(191(a,2),4119(a,1,2,2))]. 4122 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(2468(a,1),4119(a,1,2,2)),flip(a)]. 4123 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(58,a,3234,a,b,4122,a)]. 4124 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(58,a,2907,a(flip),b,4123,a)]. 4125 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(5(a,1),4123(a,1,2))]. 4126 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(58,a,4107,a(flip),b,4124,a),flip(a)]. 4127 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(4124(a,2),2553(a,2,2)),flip(a)]. 4128 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(4121(a,1),3016(a,1,1,2)),flip(a)]. 4129 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(2375(a,1),4125(a,2,2))]. 4130 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(268,a,3016,a(flip),b,4128,a),flip(a)]. 4131 K(R(x,y * K(x,z),u),w) = K(R(x,y,u),w). [para(191(a,1),4130(a,1,1,2))]. 4132 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(3001(a,1),4130(a,1,1,2)),flip(a)]. 4133 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(76(a,1),3753(a,1,1,1,2,1))]. 4134 K(x,T((y / z) \ x,u)) = K(x,y \ (x * z)). [hyper(3564,a,3854,a),flip(a)]. 4135 K(x,T(y \ x,z)) = K(x,u \ (x * (y \ u))). [para(73(a,1),4134(a,1,2,1,1))]. 4136 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(3782(a,1),3873(a,2,2))]. 4137 K(K(x \ y,x) * z,(x \ u) \ u) = (x * z) \ ((K(x \ y,x) * z) * ((x \ y) \ y)). [para(3025(a,1),3874(a,2,1))]. 4138 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1424(a,1),3961(a,2,1))]. 4139 x * ((x \ y) * K(z \ (x \ y),u)) = K(y / (x * z),u) * y. [hyper(268,a,3696,a,b,4007,a),flip(a)]. 4140 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(268,a,4023,a(flip),b,4024,a),flip(a)]. 4141 T(L(x,K(y,z),K(z,u)) * K(y,z),K(w,v5)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(268,a,3035,a(flip),b,4049,a),flip(a)]. 4142 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(268,a,3307,a,b,4106,a),flip(a)]. 4143 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(268,a,3001,a(flip),b,4136,a),flip(a)]. 4144 x * (K((x \ y) / z,u) * (x \ y)) = K(y / (x * z),u) * y. [para(3696(a,2),4139(a,1,2))]. 4145 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(58,a,2956,a(flip),b,4142,a),flip(a)]. 4146 T(K(x / (y * z),u),w) = x \ (y * (K((y \ x) / z,u) * (y \ x))). [hyper(104,a,4144,a,b,283,a),flip(a)]. 4148 K(x,(y * z) / (y * (u \ z))) != w | L(K(x,u),z,y) = w. [para(4145(a,2),732(a,1))]. 4150 R(K(x,T(T(y,z),u)),w,v5) = (w * v5) \ ((w * K(x,y)) * v5). [para(3552(a,1),3709(a,1,1))]. 4151 R(K(T(T(x,y),z),u),w,v5) = ((w * v5) \ ((w * K(u,x)) * v5)) \ 1. [para(4150(a,1),3186(a,1,1)),flip(a)]. 4152 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(4046(a,1),3792(a,1,1))]. 4153 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(268,a,191,a,b,4152,a),flip(a)]. 4154 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(268,a,3948,a(flip),b,4152,a),flip(a)]. 4155 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(268,a,3947,a(flip),b,4152,a),flip(a)]. 4156 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(58,a,2761,a(flip),b,4152,a),flip(a)]. 4157 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(4152(a,2),280(a,1))]. 4159 a(x,y / x,x) * K(x,y) = K(x,x \ y). [hyper(3029,a,4156,a)]. 4160 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(58,a,2849,a,b,4156,a)]. 4161 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(4156(a,1),3016(a,1,1))]. 4162 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(4(a,1),4160(a,1,2,2)),flip(a)]. 4163 x \ R(x,T(y,x),x) = a(x,y,x). [para(169(a,1),4162(a,1,2)),flip(a)]. 4164 x \ R(x,y,x) = a(x,y,x). [para(2917(a,1),4163(a,1,2))]. 4165 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2851,a,4164,a)]. 4166 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(2850,a,4164,a)]. 4167 x * a(x,y,x) = R(x,y,x). [hyper(117,a,4164,a)]. 4168 L(x,y,x) \ x = a(x,y,x). [hyper(58,a,4072,a,b,4164,a)]. 4169 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(58,a,3997,a,b,4164,a)]. 4170 R(x,y,x) / x = a(x,y,x). [hyper(58,a,2371,a,b,4164,a)]. 4171 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(58,a,2849,a(flip),b,4164,a)]. 4174 a(x,y,x) * x = R(x,y,x). [para(4164(a,1),2373(a,1,1))]. 4175 a(x,y,x) \ K(x * y,x) = K(y,x). [para(4164(a,1),3065(a,1,1))]. 4176 T(x * y,x) / x = y * a(x,y,x). [para(4164(a,1),3293(a,1,2)),flip(a)]. 4177 a(x,y,x) \ x = L(x,y,x). [para(4164(a,1),4073(a,1,1))]. 4178 x \ R(x,y,x) != z | a(x,y,x) = z. [para(4167(a,1),214(a,1,2)),flip(b)]. 4179 (x * y) \ (x * R(y,z,y)) != u | L(a(y,z,y),y,x) = u. [para(4167(a,1),419(a,1,2,2))]. 4180 x / a(x,y,x) = L(x,y,x). [hyper(153,a,4168,a)]. 4182 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(3023,a,4165,a)]. 4183 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(3019,a,4165,a)]. 4184 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(4165(a,1),3166(a,1,1)),flip(a)]. 4185 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(4166(a,1),3051(a,1,1))]. 4186 (x / y) * a(y,z,y) = x / L(y,z,y). [para(4166(a,1),4088(a,1,2))]. 4187 a(x,y,x) * (y * x) = T(x * y,x). [para(4166(a,1),4143(a,1,1))]. 4188 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(2512(a,1),4175(a,1,2))]. 4189 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(4176(a,1),99(a,1,1))]. 4190 R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). [para(4176(a,1),535(a,1,1,1))]. 4191 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(4176(a,2),173(a,1,2,2))]. 4192 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(4176(a,2),409(a,1,2,2))]. 4193 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(4176(a,2),630(a,1,2,2,2))]. 4195 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(5(a,1),4183(a,1,1,2))]. 4196 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(4183(a,1),13(a,2,2,2))]. 4199 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(4169(a,1),2373(a,1,1))]. 4200 (x * y) / L(y,z,y) = x * a(y,z,y). [para(6(a,1),4186(a,1,1)),flip(a)]. 4201 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(58,a,1360,a(flip),b,4200,a)]. 4202 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(58,a,3938,a(flip),b,4201,a)]. 4203 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(487,a,4202,a),flip(a)]. 4204 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(104,a,4203,a(flip),b,3939,a(flip))]. 4206 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(4153(a,2),280(a,1))]. 4207 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [hyper(58,a,995,a,b,4184,a)]. 4208 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(2798(a,2),4184(a,1,2,1))]. 4209 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(58,a,4002,a(flip),b,4207,a)]. 4210 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(3014(a,2),4207(a,1,1))]. 4211 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(4075,a,4209,a),flip(a)]. 4212 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(58,a,4074,a(flip),b,4209,a)]. 4214 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(58,a,2900,a(flip),b,4208,a)]. 4215 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(104,a,4,a(flip),b,4214,a)]. 4216 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [para(4211(a,2),4215(a,1,1))]. 4217 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [para(4183(a,2),4210(a,1,1,2))]. 4218 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) != v5 | K(u,L(x,y,z)) * K(L(x,y,z),w) = v5. [para(20(a,2),4206(a,1,2,2))]. 4219 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(2784(a,1),4001(a,1,1)),flip(a)]. 4220 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(3623,a,4219,a(flip)),flip(a)]. 4221 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(30,a,3824,a,b,4220,a),flip(a)]. 4222 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(268,a,3272,a,b,4221,a),flip(a)]. 4223 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(2806(a,1),4222(a,1,2))]. 4224 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(150,a,4223,a)]. 4225 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(3272(a,1),4224(a,1,1))]. 4226 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(2572(a,2),4225(a,1,1,2))]. 4227 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(30,a,446,a,b,4003,a)]. 4228 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(58,a,3895,a(flip),b,4004,a),flip(a)]. 4229 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(97(a,1),4228(a,1,2,1)),flip(a)]. 4230 R(K(x,T(T(y,z),u)),w,v5) = ((w * v5) \ ((w * K(y,x)) * v5)) \ 1. [para(3690(a,1),4151(a,1,1))]. 4231 T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. [hyper(268,a,1436,a,b,4190,a)]. 4232 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(58,a,4150,a(flip),b,4230,a),flip(a)]. 4233 R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). [para(4(a,1),4231(a,1,1,2,1)),flip(a)]. 4234 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(13(a,2),3959(a,1,1,1,1))]. 4235 K(L(R(1 / x,x,y),x * y,z),u) = L(K(x \ 1,u),y,z). [para(2822(a,1),4034(a,2,1))]. 4236 K(L(R(1 / x,x,y),x * y,z),u) = K(L(x,y,z) \ 1,u). [hyper(268,a,2967,a(flip),b,4235,a),flip(a)]. 4238 K(L(x / (y * x),y * x,z),u) = K(L(y,x,z) \ 1,u). [para(164(a,1),4236(a,1,1,1))]. 4239 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3008(a,1),4043(a,1,1)),flip(a)]. 4240 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [hyper(268,a,282,a,b,4054,a),flip(a)]. 4241 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(2766,a,4080,a(flip))]. 4242 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(4241(a,1),3980(a,1,1,2)),flip(a)]. 4243 K(a(x,y,z),x) = 1. [hyper(2923,a,4126,a),flip(a)]. 4245 T(a(x,y,z),x) = a(x,y,z). [hyper(51,a,4243,a)]. 4246 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(3790(a,1),4133(a,1,1,1)),flip(a)]. 4247 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(117,a,4246,a(flip))]. 4248 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(3836(a,1),4246(a,2,1))]. 4249 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(4247(a,1),3016(a,1,1)),flip(a)]. 4250 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(3818(a,1),4247(a,1,2,2))]. 4251 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(3008(a,1),4250(a,1,1,1))]. 4252 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(268,a,4044,a(flip),b,4251,a),flip(a)]. 4253 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(268,a,4041,a(flip),b,4251,a),flip(a)]. 4254 K(x,y) * (T(z,K(u,w)) * K(y,v5)) = z * (K(y,v5) * K(x,y)). [hyper(951,a,4252,a)]. 4255 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(104,a,4250,a(flip),b,4252,a(flip))]. 4256 T(x,K(y,z)) * K(u,w) = (K(v5,w) * x) * (K(w,v5) * K(u,w)). [para(3024(a,2),4252(a,1,1))]. 4257 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(4253(a,1),3819(a,1,1))]. 4258 (x * (K(y,L(z,y,u)) * K(z,w))) \ (x * T(z,w)) = T(z,L(y,z,u)). [para(4030(a,1),4257(a,1,1,2,1))]. 4259 T(x * K(y,z),K(u,w)) = (K(v5,z) * x) * (K(z,v5) * K(y,z)). [hyper(2763,a,4256,a)]. 4260 T(K(x / (y * (z \ (y \ x))),u),w) = x \ (y * (K(z,u) * (y \ x))). [para(73(a,1),4146(a,2,2,2,1,1))]. 4261 T(K(x / (y * z),u),w) = x \ (y * (z * T(z \ (y \ x),u))). [para(2676(a,1),4146(a,2,2,2))]. 4262 T(K(R(x,y,(x * y) \ z),u),w) = z \ (y * (((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u))). [para(93(a,2),4261(a,1,1,1))]. 4263 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(268,a,4255,a(flip),b,4196,a),flip(a)]. 4265 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(268,a,4166,a(flip),b,4263,a),flip(a)]. 4266 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(4265(a,1),306(a,1,2)),flip(a)]. 4267 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(4249(a,2),4232(a,1,1))]. 4268 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(106,a,3241,a(flip),b,4239,a)]. 4269 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(3032,a,4240,a)]. 4270 K((x * (y \ (x \ z))) \ z,u) = z \ (x * (K(y,u) * (x \ z))). [hyper(3698,a,4260,a)]. 4272 x / a(y,z,y) = a(y,z,y) \ x. [hyper(58,a,4217,a(flip),b,4266,a),flip(a)]. 4273 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(268,a,4212,a,b,4272,a)]. 4274 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(268,a,4209,a,b,4272,a)]. 4275 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(4272(a,1),4204(a,1,2))]. 4276 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(106,a,6,a(flip),b,4274,a),flip(a)]. 4277 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(116,a,4276,a)]. 4279 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(58,a,3929,a,b,4277,a)]. 4280 (x * y) * a(y,z,y) = x * R(y,z,y). [para(6(a,1),4277(a,1,1)),flip(a)]. 4281 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(4277(a,1),1401(a,1,1))]. 4282 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(2806(a,1),4277(a,1,2))]. 4283 (x * y) * a(x,z,x) = R(x,z,x) * y. [hyper(466,a,4279,a),flip(a)]. 4284 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(108,a,4280,a)]. 4285 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(4280(a,1),2837(a,1,1,1,1)),flip(a)]. 4286 (x * a(y,z,y)) * y = x * R(y,z,y). [hyper(117,a,4281,a)]. 4288 L(a(x,y,x),x,z) = a(x,y,x). [hyper(4179,a,4284,a)]. 4290 x \ (y \ ((a(x,z,x) * y) * x)) = R(T(a(x,z,x),y * x),y,x). [para(4288(a,1),941(a,1,2,2,1,1))]. 4292 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(4267(a,1),2683(a,1))]. 4293 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(3823(a,1),3820(a,1,2))]. 4294 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(3826(a,1),3820(a,1,2))]. 4296 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(4293(a,1),569(a,1))]. 4297 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(4294(a,1),569(a,1))]. 4298 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(2600(a,1),3869(a,1,2,1)),flip(a)]. 4299 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(2797(a,1),4298(a,1,2,1))]. 4300 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(3322(a,1),4299(a,1,2,1)),flip(a)]. 4301 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(3053,a,4055,a)]. 4302 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(268,a,191,a,b,4301,a),flip(a)]. 4303 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3008(a,1),4302(a,1,2)),flip(a)]. 4304 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(3303(a,1),4303(a,1,2))]. 4305 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(301,a,4304,a)]. 4307 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(4304(a,1),2577(a,1,2)),flip(a)]. 4308 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(4304(a,1),3305(a,1,1,2))]. 4309 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(3965(a,1),4304(a,1,2))]. 4310 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(4304(a,1),4269(a,1,1,2))]. 4311 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(3191,a,4305,a)]. 4312 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(4305(a,1),280(a,1))]. 4313 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(3965(a,1),4305(a,1,1))]. 4314 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(545,a,4311,a)]. 4315 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(4311(a,1),39(a,1)),flip(a)]. 4316 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(4234(a,1),4311(a,1,1))]. 4317 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(4309(a,1),3256(a,2,2))]. 4318 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(30,a,4308,a,b,4310,a)]. 4319 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [hyper(30,a,1359,a,b,4310,a),flip(a)]. 4321 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(4318(a,1),246(a,1,1))]. 4322 ((x * y) * K(z,u)) * a(x,y,K(u,z)) != w | x * (y * K(z,u)) = w. [para(4318(a,1),248(a,1))]. 4323 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(264(a,1),4321(a,1))]. 4324 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(3775(a,1),4319(a,1,1)),flip(a)]. 4325 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(58,a,3598,a(flip),b,4324,a)]. 4326 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(4307(a,1),4325(a,1,2)),flip(a)]. 4327 a(x,y,a(z,u,K(y,w))) = 1. [hyper(103,a,4326,a(flip),b,78,a),flip(a)]. 4329 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(3777(a,1),3793(a,1,2)),flip(a)]. 4330 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(268,a,15,a,b,4329,a),flip(a)]. 4331 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(58,a,26,a,b,4330,a)]. 4333 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(2773(a,1),4331(a,1,1)),flip(a)]. 4335 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(4333(a,1),1428(a,1,1))]. 4337 R(T(x,K(y,z)),K(u,w),x) \ T(K(u,w) * x,T(x,K(y,z))) = T(K(u,w),T(x,K(y,z))). [para(403(a,1),4335(a,1,2,1))]. 4339 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(972(a,1),4014(a,1,2)),flip(a)]. 4340 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(97(a,1),4018(a,1,1,2,2))]. 4341 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(3504(a,2),4340(a,1,1))]. 4342 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1233(a,1),4191(a,1,2,2))]. 4343 x / T(x / y,T(L(y,z,u),w)) = y * a(u,z * y,K(y \ x,y)). [hyper(58,a,3867,a,b,4317,a)]. 4344 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(96(a,1),4343(a,1,2,2))]. 4345 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(97(a,1),4342(a,1,2)),flip(a)]. 4346 K(K(x,y) * R(K(y,x),z,u),w) = K(a(K(y,x),z,u),w). [para(3334(a,1),4109(a,1,1))]. 4348 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(3670(a,1),3688(a,1,2,2,1))]. 4350 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(268,a,3575,a(flip),b,3949,a),flip(a)]. 4352 T((K(x,y) * z) * K(y,x),K(u,w)) = z * K(K(v5,x) * K(x,y),z). [hyper(58,a,4259,a,b,4064,a)]. 4354 T(T(x,K(y,z)),K(u,w)) = x * K(K(v5,v6) * K(v6,v7),x). [para(3024(a,2),4352(a,1,1))]. 4355 K(K(x,y) * K(y,z),u) = K(K(w,v5) * K(v5,v6),u). [hyper(29,a,4354,a(flip),b,4354,a(flip))]. 4358 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(v6,v7) * K(v7,v8),v5). [para(2932(a,1),4355(a,1,1,2))]. 4360 K(a(K(x,y),z,u),w) = K(K(v5,v6) * K(v6,v7),w). [hyper(58,a,4346,a(flip),b,4358,a)]. 4362 x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. [para(4154(a,1),4206(a,1))]. 4363 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1406(a,1),4155(a,1,2))]. 4364 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(4155(a,1),4206(a,1))]. 4365 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(569,a,4363,a),flip(a)]. 4366 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(4363(a,1),569(a,1))]. 4367 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(4364,a,4365,a)]. 4368 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(117,a,4365,a)]. 4370 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(4365(a,1),3486(a,1,1)),flip(a)]. 4371 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(4365(a,1),4080(a,1,2)),flip(a)]. 4372 R(x,y,R(x,z,u)) != x * w | a(x,y,R(x,z,u)) = w. [para(4368(a,1),38(a,1))]. 4373 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(3169(a,1),4370(a,2,1))]. 4375 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [hyper(3029,a,4367,a)]. 4376 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(7(a,1),4375(a,1,2,2))]. 4377 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(2720,a,4371,a)]. 4378 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(58,a,885,a(flip),b,4377,a)]. 4379 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(177(a,1),4242(a,2,1))]. 4380 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(3783,a,4379,a),flip(a)]. 4381 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(268,a,3543,a(flip),b,4129,a),flip(a)]. 4382 T(x * K(y,z),K(u,w)) = K(y,z) * T(x,K(z,v5) * K(y,z)). [para(332(a,1),4141(a,1,1,1))]. 4383 T(x * K(y,z),K(u,w)) = K(y,z) * T(x,K(y,z) * K(z,v5)). [para(191(a,1),4382(a,2,2,2))]. 4384 K(K(x,y) * K(y,z),K(x,y) \ u) = T((K(x,y) \ u) * K(x,y),K(w,v5)) \ u. [para(4383(a,2),3742(a,1,1)),flip(a)]. 4386 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(w,v5)),K(v6,v7)) \ u. [para(551(a,2),4384(a,2,1,1))]. 4389 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(58,a,4216,a(flip),b,4285,a),flip(a)]. 4390 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(3775(a,1),3788(a,2,1))]. 4391 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(268,a,15,a,b,4390,a),flip(a)]. 4392 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(4390(a,2),447(a,1))]. 4394 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(167(a,1),4391(a,1,2))]. 4395 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(98(a,1),4392(a,1,1,3))]. 4396 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(4227(a,1),4394(a,1,1))]. 4397 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(3421(a,1),4395(a,1))]. 4398 K(x,y) != z | R(K(x,y),y,u) = z. [para(3229(a,1),4397(a,1))]. 4399 K(K(x \ y,x) * z,(x \ u) \ u) = (x * z) \ (z * x). [para(3864(a,1),4137(a,2,2))]. 4400 K(K(x \ y,x) * z,(x \ u) \ u) = K(z,x). [hyper(268,a,11,a,b,4399,a),flip(a)]. 4404 K(K(x,x \ y) * z,x) = K(z,(x \ u) \ u). [para(3001(a,1),4400(a,1,1)),flip(a)]. 4405 K(K(x,x \ y) * z,x) = K(z,x). [hyper(268,a,3544,a(flip),b,4404,a),flip(a)]. 4407 K(K(x,y) * z,x) = K(z,x). [para(4(a,1),4405(a,1,1,1,2))]. 4408 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(3009(a,1),4405(a,1,1)),flip(a)]. 4409 K(K(x,y) \ z,x) = K(z,x). [para(5(a,1),4407(a,1,1)),flip(a)]. 4410 K(x * K(y,z),y) = K(x,y). [para(191(a,1),4407(a,1,1))]. 4411 K(T(x,y) * z,x) = K(x * z,x). [para(2562(a,1),4407(a,1,1))]. 4412 K(T(x,y) \ z,x) = K(x \ z,x). [para(2674(a,1),4407(a,1,1)),flip(a)]. 4413 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(2932(a,1),4407(a,1,1,1))]. 4414 K(x \ T(y,z),z) = K(x \ y,z). [para(3118(a,1),4407(a,1,1)),flip(a)]. 4415 K(x * T(y,z),y) = K(x * y,y). [para(3774(a,1),4407(a,1,1))]. 4416 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(4407(a,1),3789(a,1,1))]. 4418 K(x * L(K(y,z),u,w),y) = K(x,y). [para(2953(a,1),4410(a,1,1,2))]. 4419 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(4410(a,1),3067(a,1,1,1,2)),flip(a)]. 4420 K(x * T(y,z),z) = K(x * y,z). [para(3775(a,1),4410(a,1,1)),flip(a)]. 4421 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(4411(a,1),2553(a,2,2)),flip(a)]. 4423 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(4412(a,2),257(a,1,2))]. 4424 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(4412(a,1),3096(a,1,1,2))]. 4425 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(17(a,1),4414(a,1,1,2))]. 4426 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4414(a,1),3083(a,2,2))]. 4427 K(x * T(y,z),y) = K(y * x,y). [hyper(268,a,2871,a(flip),b,4415,a),flip(a)]. 4428 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(3921(a,1),4420(a,1,1,2)),flip(a)]. 4429 K(x * (y / T(x,z)),x) = K(y,x). [para(7(a,1),4427(a,1,1)),flip(a)]. 4430 K((K(x,y) * z) * u,x) = K(z * u,x). [para(94(a,1),4413(a,1,1))]. 4431 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(2907(a,1),4413(a,1,1,1))]. 4433 K(x * (y * K(z,u)),z) = K(x * y,z). [para(87(a,1),4418(a,1,1))]. 4434 K(x * K(L(y,z,u),w),y) = K(x,y). [para(3965(a,1),4418(a,1,1,2))]. 4435 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(278(a,1),4431(a,1,1))]. 4436 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(3012(a,1),4431(a,1,1)),flip(a)]. 4437 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(3674(a,1),4431(a,1,1,1))]. 4438 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(256(a,1),4434(a,1,1)),flip(a)]. 4439 K((1 / x) \ y,x) = K(x * y,x). [hyper(268,a,3862,a(flip),b,4408,a),flip(a)]. 4440 x / T(y,T(y,z) \ x) = y \ x. [hyper(3800,a,4423,a)]. 4441 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(3748,a,4423,a)]. 4442 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(31,a,217,a,b,4440,a),flip(a)]. 4443 T(x,x \ (T(x,y) * z)) = T(x,z). [para(4(a,1),4442(a,1,2)),flip(a)]. 4444 T(x,K(x,y) * z) = T(x,z). [para(2672(a,1),4443(a,1,2))]. 4445 K(x,K(x,y) * z) = x \ T(x,z). [hyper(104,a,4444,a(flip),b,2553,a(flip)),flip(a)]. 4447 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(4444(a,1),2700(a,1,1))]. 4448 T(x,K(y,x) * z) = T(x,z). [para(3001(a,1),4444(a,1,2)),flip(a)]. 4449 T(x,T(y,x) \ z) = T(x,y \ z). [para(3011(a,1),4444(a,1,2))]. 4450 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(3009(a,1),4444(a,1,2)),flip(a)]. 4451 T(x,x * (T(x,y) \ z)) = T(x,z). [para(3073(a,2),4448(a,1,2))]. 4453 K(x,K(x,y) * z) = K(x,z). [hyper(268,a,2551,a,b,4445,a),flip(a)]. 4454 K(x,y * K(x,z)) = K(x,y). [para(191(a,1),4453(a,1,2))]. 4455 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(2932(a,1),4453(a,1,2,1))]. 4456 K(x,y \ T(z,x)) = K(x,y \ z). [para(3118(a,1),4453(a,1,2)),flip(a)]. 4457 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(4454(a,1),3825(a,1,1)),flip(a)]. 4458 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(58,a,3945,a(flip),b,4449,a)]. 4459 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(58,a,2781,a,b,4451,a)]. 4460 K(x,y \ (z / x)) = K(x,y \ (x \ z)). [para(99(a,1),4456(a,1,2,2)),flip(a)]. 4461 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4459(a,1),3291(a,1,3))]. 4462 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(2907(a,1),4455(a,1,2,1))]. 4463 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(278(a,1),4462(a,1,2))]. 4464 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(2674(a,1),4462(a,1,2)),flip(a)]. 4465 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(3003(a,1),4462(a,1,2)),flip(a)]. 4466 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(3839(a,1),4465(a,1,2))]. 4467 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(58,a,3944,a(flip),b,4425,a),flip(a)]. 4468 K(x * (K(y,z) * u),y) = K(x * u,y). [para(191(a,2),4433(a,1,1,2))]. 4469 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(3877(a,1),4433(a,1,1,2))]. 4470 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(268,a,3932,a(flip),b,4450,a),flip(a)]. 4471 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(89(a,2),4458(a,1,2))]. 4472 K(x,(x * y) \ z) = K(x,y \ (z / x)). [hyper(268,a,3911,a,b,4460,a)]. 4473 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(58,a,4408,a,b,4467,a)]. 4474 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(58,a,3944,a(flip),b,4467,a),flip(a)]. 4475 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(4468(a,1),2833(a,1,2,1,2)),flip(a)]. 4476 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(4468(a,1),3062(a,1,2,1,2)),flip(a)]. 4477 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(6(a,1),4472(a,2,2,2))]. 4478 K((x * y) \ (z * y),y) = K(x \ z,y). [para(6(a,1),4473(a,1,1,1)),flip(a)]. 4479 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(5(a,1),4477(a,1,2,1)),flip(a)]. 4480 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(58,a,4474,a(flip),b,4478,a)]. 4481 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(58,a,3936,a(flip),b,4479,a),flip(a)]. 4482 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(4(a,1),4479(a,1,2)),flip(a)]. 4483 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(4479(a,1),3895(a,1,1))]. 4484 L(K(x \ y,x),y,z) = K(z \ (x \ (z * y)),x). [hyper(58,a,3951,a,b,4480,a)]. 4485 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(4480(a,1),2909(a,1,1,1,2))]. 4486 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(4480(a,1),3768(a,1,2))]. 4487 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4(a,1),4481(a,1,2,2,1))]. 4488 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(4481(a,1),2553(a,2,2))]. 4489 K(x,T(y \ x,z)) = K(x,u \ ((y \ u) * x)). [hyper(268,a,4135,a,b,4487,a)]. 4490 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(4436(a,1),4367(a,1,1))]. 4491 x / (x / T(y,z)) = T(x / (x / y),z). [para(3083(a,2),4424(a,1,1)),flip(a)]. 4493 T(x / (x / y),z) \ x = x / T(y,z). [hyper(150,a,4491,a)]. 4494 x / T(y \ x,z) = T(x / y,z) \ x. [para(73(a,1),4493(a,1,1,1,2)),flip(a)]. 4496 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4494(a,1),3475(a,1,2))]. 4498 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4426(a,1),3631(a,1,1,1))]. 4499 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(591,a,4441,a),flip(a)]. 4500 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(268,a,2553,a,b,4488,a),flip(a)]. 4502 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4(a,1),4500(a,1,2,2,1))]. 4503 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(268,a,4470,a,b,4502,a)]. 4504 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(4502(a,1),2568(a,1,2,1))]. 4505 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(4503(a,1),2469(a,1,1,1))]. 4506 K(x,T(y \ x,z)) = K(x,u \ (y \ (x * u))). [hyper(268,a,4477,a(flip),b,4489,a),flip(a)]. 4507 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(3331,a,4499,a)]. 4508 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(591,a,4507,a),flip(a)]. 4509 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(4(a,1),4507(a,1,2,1)),flip(a)]. 4510 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(4507(a,1),3304(a,1,2)),flip(a)]. 4513 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(3312,a,4509,a)]. 4514 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(268,a,2841,a(flip),b,4510,a),flip(a)]. 4515 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(20(a,2),4510(a,2,2))]. 4516 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(104,a,4513,a(flip),b,830,a),flip(a)]. 4517 K(x,T(y \ x,z)) = K(x,L(K(u,w),v5,v6) * (y \ (x * L(K(w,u),v5,v6)))). [para(3188(a,1),4506(a,2,2))]. 4518 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(58,a,3965,a(flip),b,4416,a)]. 4519 K(L(x,K(y,z),u),y) = K(x,y). [hyper(268,a,4407,a(flip),b,4518,a),flip(a)]. 4522 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(253(a,1),4519(a,1,1))]. 4524 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(58,a,3143,a(flip),b,4421,a)]. 4525 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(4461(a,1),408(a,1,2)),flip(a)]. 4526 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(22(a,2),4464(a,1,2,1))]. 4527 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(852(a,1),4464(a,1,2)),flip(a)]. 4528 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(52,a,4486,a)]. 4529 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(4(a,1),4486(a,2,2,1,2))]. 4530 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4486(a,1),3016(a,1,1))]. 4531 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(268,a,4022,a,b,4496,a)]. 4532 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(4496(a,2),3479(a,1,1))]. 4533 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(268,a,4409,a(flip),b,4522,a),flip(a)]. 4535 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(191(a,2),4533(a,1,1,1))]. 4536 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3008(a,1),4533(a,1,1,1)),flip(a)]. 4537 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(3992(a,1),4533(a,1,1,1)),flip(a)]. 4538 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(58,a,3952,a(flip),b,4535,a),flip(a)]. 4539 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(4536(a,1),3016(a,1,1,2)),flip(a)]. 4540 K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). [para(3528(a,1),4536(a,1,1,1)),flip(a)]. 4541 K(x \ K(y,z),y) = K(x \ 1,y). [para(3(a,1),4538(a,1,1,2))]. 4542 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(191(a,1),4538(a,1,1,2))]. 4543 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(2497(a,1),4538(a,1,1,2)),flip(a)]. 4544 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(4538(a,1),3607(a,1))]. 4545 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(2953(a,1),4541(a,1,1,2))]. 4546 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(3992(a,1),4542(a,1,1,2)),flip(a)]. 4547 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(4545(a,1),3068(a,1,1,1,2)),flip(a)]. 4548 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(3085(a,2),4524(a,1,2))]. 4549 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(3538,a,4526,a)]. 4550 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(3886,a,4530,a)]. 4551 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(58,a,4341,a(flip),b,4530,a)]. 4552 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [hyper(34,a,3935,a,b,4530,a)]. 4554 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(58,a,3892,a,b,4550,a)]. 4555 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(174(a,1),4550(a,1,2)),flip(a)]. 4556 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(268,a,3936,a(flip),b,4554,a),flip(a)]. 4557 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(268,a,3016,a(flip),b,4539,a),flip(a)]. 4558 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(191(a,2),4557(a,1,2,1))]. 4559 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(4557(a,1),2553(a,2,2))]. 4560 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(3005(a,1),4557(a,1,2,1)),flip(a)]. 4561 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(3546(a,1),4557(a,1,2,1,2))]. 4562 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(3528(a,1),4557(a,1,2,1)),flip(a)]. 4563 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(58,a,3915,a(flip),b,4558,a)]. 4564 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(3044(a,1),4560(a,1,2,1)),flip(a)]. 4565 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(3044(a,1),4563(a,1,2,2)),flip(a)]. 4566 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(268,a,2553,a,b,4559,a),flip(a)]. 4567 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(191(a,2),4566(a,1,2,1))]. 4568 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(58,a,3989,a(flip),b,4567,a),flip(a)]. 4569 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(2721(a,1),4568(a,1,2,2))]. 4570 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [hyper(268,a,3046,a,b,4540,a)]. 4571 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(4543(a,1),3067(a,1,1,1,2))]. 4572 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(410(a,1),4546(a,2,1))]. 4573 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1437(a,1),4548(a,1,2)),flip(a)]. 4574 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1503(a,1),4548(a,1,2)),flip(a)]. 4575 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(7(a,1),4551(a,1,2,1,2)),flip(a)]. 4576 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(4551(a,1),3016(a,1,1,2))]. 4577 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(58,a,2396,a,b,4552,a)]. 4578 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(58,a,3476,a(flip),b,4552,a),flip(a)]. 4579 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(164(a,2),4552(a,1,1,1,2))]. 4580 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4552(a,1),3124(a,1,2))]. 4581 K(T(x,y),z \ u) = K(x,u / (z * K(w,x))). [hyper(3721,a,4561,a),flip(a)]. 4582 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(3721,a,4581,a),flip(a)]. 4584 K(x,y / (z * x)) = K(x,y / (x * z)). [para(81(a,1),4582(a,1,2,2))]. 4585 K(x,y / (z * K(x,u))) = K(x,y / z). [para(3008(a,1),4582(a,1,2,2)),flip(a)]. 4586 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(95(a,2),4584(a,2,2)),flip(a)]. 4587 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(2573(a,1),4585(a,1,2,2))]. 4588 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(4247(a,1),4585(a,1,2,2)),flip(a)]. 4589 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(268,a,4116,a(flip),b,4587,a),flip(a)]. 4590 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(58,a,3978,a,b,4587,a)]. 4591 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(6(a,1),4589(a,1,2,2))]. 4592 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(268,a,4115,a(flip),b,4590,a),flip(a)]. 4593 K(x,T(y \ (z * x),u)) = K(x,(y / z) \ x). [hyper(3603,a,4592,a)]. 4594 K(x,T(y \ (R(y,z,u) * x),w)) = K(x,x * (y \ R(y,z,u))). [hyper(268,a,3488,a(flip),b,4593,a),flip(a)]. 4595 K(x,T((y \ z) \ x,u)) = K(x,(z / y) \ x). [hyper(58,a,4111,a,b,4593,a)]. 4596 K(x,T(y \ x,z)) = K(x,(u / (u / y)) \ x). [para(76(a,1),4595(a,1,2,1,1))]. 4597 K(x,T(y \ x,z)) = K(x,((x * u) / y) / u). [hyper(268,a,4117,a(flip),b,4596,a),flip(a)]. 4598 K(x,T(y \ x,z)) = K(x,R(x,u,w) \ ((x * R(T(x,v5),u,w)) / y)). [hyper(268,a,4549,a(flip),b,4597,a),flip(a)]. 4599 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(58,a,2696,a(flip),b,4586,a)]. 4600 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(4562(a,1),3895(a,1,1))]. 4601 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(410(a,1),4565(a,1,2))]. 4602 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(2497(a,1),4565(a,1,2,2,2)),flip(a)]. 4603 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(4569(a,1),2469(a,1,1,1))]. 4604 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(58,a,4562,a(flip),b,4575,a)]. 4605 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(81(a,1),4588(a,1,2,2,1))]. 4606 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(257(a,1),4588(a,1,2,2,1))]. 4607 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(3005(a,1),4588(a,1,2,2,1)),flip(a)]. 4608 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,w \ (y \ w)). [hyper(58,a,3861,a(flip),b,4602,a),flip(a)]. 4609 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(3(a,1),4604(a,2,2,1))]. 4610 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(58,a,4229,a,b,4609,a)]. 4611 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(58,a,3937,a(flip),b,4610,a)]. 4612 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(3044(a,1),4607(a,1,2,2,1)),flip(a)]. 4614 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(268,a,2693,a(flip),b,4555,a),flip(a)]. 4616 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(58,a,4469,a(flip),b,4428,a),flip(a)]. 4617 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(268,a,4429,a(flip),b,4616,a),flip(a)]. 4618 K(R(x,y,x) * z,x) = K(x * z,x). [para(4(a,1),4617(a,1,1,2)),flip(a)]. 4619 K(x * R(y,z,y),y) = K(y * x,y). [hyper(58,a,4435,a(flip),b,4618,a)]. 4620 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(4619(a,1),2495(a,2,2,2))]. 4621 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(268,a,2495,a,b,4620,a),flip(a)]. 4622 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(268,a,2553,a(flip),b,4621,a),flip(a)]. 4623 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(2560,a,4622,a)]. 4624 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(58,a,4463,a,b,4623,a)]. 4625 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(58,a,3972,a,b,4624,a)]. 4626 x * T(R(y,x,y),R(y,z,y) * u) = K(y,y * u) * T(y * x,y). [para(4625(a,1),3784(a,1,1)),flip(a)]. 4627 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(58,a,4078,a,b,4466,a)]. 4628 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(268,a,4339,a(flip),b,4515,a),flip(a)]. 4629 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(4415(a,1),4457(a,2,2))]. 4631 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(268,a,2874,a(flip),b,4629,a),flip(a)]. 4633 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(4178,a,4631,a)]. 4634 a(x,y * K(x,z),x) = a(x,y,x). [hyper(268,a,4164,a(flip),b,4633,a),flip(a)]. 4635 a(x,y,T(x,z)) = a(x,y,x). [hyper(4296,a,4634,a)]. 4637 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(4635(a,1),3998(a,1))]. 4638 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(2615(a,1),4498(a,1,1)),flip(a)]. 4639 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(268,a,20,a,b,4638,a),flip(a)]. 4640 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(4639(a,1),24(a,1,1)),flip(a)]. 4641 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(2642(a,1),4525(a,1,2,1))]. 4642 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(2642(a,1),4641(a,2,2,2))]. 4643 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(4642(a,1),2643(a,1,1))]. 4644 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(58,a,2665,a(flip),b,4516,a),flip(a)]. 4645 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4093(a,1),4528(a,2,1)),flip(a)]. 4646 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [hyper(481,a,4532,a)]. 4647 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(3051,a,4576,a),flip(a)]. 4648 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(4576(a,1),3051(a,1))]. 4649 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(58,a,4537,a(flip),b,4647,a)]. 4650 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(4649(a,1),2495(a,2,2,2)),flip(a)]. 4651 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(4537(a,1),4648(a,1))]. 4652 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4577(a,1),3125(a,1,2))]. 4653 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(58,a,4580,a(flip),b,4652,a),flip(a)]. 4654 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(58,a,4093,a(flip),b,4578,a),flip(a)]. 4655 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(116,a,4654,a)]. 4656 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4654(a,1),3756(a,1,2))]. 4657 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4654(a,1),4020(a,1,1,2))]. 4658 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(3871,a,4656,a),flip(a)]. 4659 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(58,a,3942,a(flip),b,4658,a),flip(a)]. 4660 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(4658(a,1),3954(a,1,1))]. 4661 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(58,a,3448,a(flip),b,4659,a),flip(a)]. 4662 K(x,T(R(y,z,u) * (y \ x),w)) = K(x,x * (y \ R(y,z,u))). [para(1415(a,1),4594(a,1,2,1))]. 4663 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(2496,a,4650,a),flip(a)]. 4665 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(268,a,3067,a(flip),b,4419,a),flip(a)]. 4666 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(3008(a,1),4665(a,1,2)),flip(a)]. 4667 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(268,a,4562,a,b,4483,a),flip(a)]. 4668 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(58,a,3954,a(flip),b,4660,a),flip(a)]. 4669 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(5(a,1),4668(a,2,1,1))]. 4670 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(58,a,3928,a(flip),b,4669,a),flip(a)]. 4671 K(K(x \ y,x) * z,y) = K(z,y). [hyper(3607,a,4670,a),flip(a)]. 4674 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(4671(a,1),2553(a,2,2)),flip(a)]. 4675 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(3798,a,4674,a),flip(a)]. 4676 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(2591(a,1),4675(a,2,1))]. 4677 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(2591(a,1),4676(a,1,1,1))]. 4678 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(3314,a,4677,a),flip(a)]. 4679 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(4678(a,2),173(a,1,2,2))]. 4680 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ w) \ w,(z * (y / x)) \ u). [hyper(268,a,3676,a,b,4667,a),flip(a)]. 4681 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,w)). [para(3547(a,1),4447(a,1,2)),flip(a)]. 4682 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(268,a,2700,a(flip),b,4681,a),flip(a)]. 4683 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(58,a,2942,a(flip),b,4682,a),flip(a)]. 4684 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(4570(a,1),3105(a,1))]. 4685 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(268,a,2645,a(flip),b,4573,a),flip(a)]. 4686 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(268,a,2644,a(flip),b,4574,a),flip(a)]. 4687 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),4686(a,1,1,2,1)),flip(a)]. 4688 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(4598(a,1),3594(a,1))]. 4689 x * T(R(y,x,y),R(y,z,y) * u) = T(K(y,y * u) * (y * x),y). [hyper(268,a,4510,a,b,4626,a),flip(a)]. 4691 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(268,a,24,a(flip),b,4640,a),flip(a)]. 4692 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(58,a,4655,a(flip),b,4645,a),flip(a)]. 4693 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(4661(a,1),4692(a,1,1,2))]. 4694 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(58,a,4019,a(flip),b,4657,a),flip(a)]. 4695 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(5(a,1),4694(a,2,2,1))]. 4696 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(73(a,1),4694(a,1,2,1,2)),flip(a)]. 4697 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(58,a,3913,a(flip),b,4695,a),flip(a)]. 4699 K(x,K(y \ x,y) * z) = K(x,z). [para(4(a,1),4697(a,1,2)),flip(a)]. 4700 K(x * y,K(y,x) * z) = K(x * y,z). [para(4(a,1),4699(a,1,2,1,1))]. 4701 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(3279(a,1),4699(a,1,2)),flip(a)]. 4702 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(4700(a,1),2600(a,1,1,2))]. 4703 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(315(a,1),4696(a,1,2,1)),flip(a)]. 4704 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(3786(a,1),4703(a,1,2,1))]. 4705 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(2476(a,1),4704(a,1,2,1)),flip(a)]. 4706 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(4702(a,1),3812(a,1,2)),flip(a)]. 4707 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(4706(a,2),734(a,1,1))]. 4708 x * T(R(y,x,y),R(y,z,y) * u) = T(T(y,y * u) * x,y). [para(2562(a,1),4689(a,2,1))]. 4710 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(4504(a,1),2649(a,1))]. 4711 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(2502,a,4505,a),flip(a)]. 4713 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(268,a,3925,a(flip),b,4572,a),flip(a)]. 4714 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(4651,a,4713,a)]. 4716 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(58,a,4514,a(flip),b,4628,a)]. 4717 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),4685(a,1,1,2,1))]. 4718 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,w,u) * x) = T(u * R(x,y,z),u * x). [hyper(58,a,4708,a,b,4717,a)]. 4719 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),4687(a,1,1,2,1)),flip(a)]. 4720 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(268,a,2833,a(flip),b,4475,a),flip(a)]. 4721 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(2558(a,1),4720(a,1,1)),flip(a)]. 4722 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(268,a,3062,a(flip),b,4476,a),flip(a)]. 4723 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3001(a,1),4722(a,1,2)),flip(a)]. 4724 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(2970(a,1),4723(a,1,2,1))]. 4725 K(L(x,y,z),T(u \ L(x,y,z),w)) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,v5),v6,v7))). [hyper(58,a,4517,a,b,4724,a)]. 4726 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(2910,a,4485,a),flip(a)]. 4727 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(89(a,2),4726(a,1,1))]. 4728 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(2387(a,2),4579(a,1,1))]. 4729 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ w) \ w,(z * (L(y,x \ 1,x) / x)) \ u). [para(4611(a,1),4680(a,1,1))]. 4730 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(4430(a,1),4683(a,1,1,2))]. 4731 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(58,a,2942,a(flip),b,4730,a),flip(a)]. 4733 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(4731(a,1),3342(a,2,2,2,1,1))]. 4734 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [hyper(447,a,4707,a)]. 4735 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(231,a,4728,a),flip(a)]. 4736 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(3943(a,1),4735(a,2,1))]. 4737 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(4736(a,1),4652(a,1,2)),flip(a)]. 4738 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(268,a,3007,a(flip),b,4737,a),flip(a)]. 4740 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(58,a,4653,a(flip),b,4738,a)]. 4741 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(58,a,4584,a,b,4740,a)]. 4742 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(7(a,1),4741(a,1,2,2,1)),flip(a)]. 4743 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(2991(a,1),4741(a,1,2,2,1))]. 4744 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(268,a,4742,a(flip),b,4743,a),flip(a)]. 4745 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(58,a,4599,a,b,4744,a)]. 4746 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(76(a,1),4745(a,2,2,2,1))]. 4747 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),4527(a,1,2,2,2,1))]. 4748 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(268,a,3068,a(flip),b,4547,a),flip(a)]. 4749 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4(a,1),4747(a,1,2))]. 4751 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(3546(a,1),4490(a,1,2)),flip(a)]. 4753 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(268,a,4367,a(flip),b,4751,a),flip(a)]. 4754 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(99(a,1),4753(a,1,2)),flip(a)]. 4755 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(337(a,1),4753(a,1,2,2))]. 4756 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(3608(a,1),4755(a,1,2))]. 4757 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(4754(a,1),4376(a,1,1))]. 4758 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(58,a,4365,a,b,4756,a)]. 4759 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(268,a,3532,a(flip),b,4757,a),flip(a)]. 4760 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [hyper(33,a,4365,a,b,4758,a),flip(a)]. 4761 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4760(a,1),4373(a,1,1))]. 4762 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(4603(a,1),2502(a,1))]. 4763 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2787(a,2),4718(a,1,2))]. 4764 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(58,a,3914,a(flip),b,4601,a),flip(a)]. 4766 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(58,a,4564,a(flip),b,4764,a),flip(a)]. 4768 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),4766(a,2,2))]. 4769 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(3001(a,1),4768(a,1,2,2)),flip(a)]. 4770 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(4769(a,1),3046(a,1,2,2)),flip(a)]. 4771 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(268,a,3046,a(flip),b,4770,a),flip(a)]. 4772 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2460(a,1),4771(a,1,1,2)),flip(a)]. 4773 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(2353(a,1),3480(a,1,2))]. 4774 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),4105(a,1,2,1))]. 4776 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),4774(a,1,2))]. 4777 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(58,a,3994,a(flip),b,4776,a)]. 4778 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(268,a,3910,a(flip),b,4777,a),flip(a)]. 4781 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),4778(a,2,2,2))]. 4782 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(2804(a,1),4781(a,1,1,2))]. 4783 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(58,a,3908,a(flip),b,4782,a)]. 4785 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(58,a,4772,a(flip),b,4783,a),flip(a)]. 4786 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [hyper(58,a,4300,a(flip),b,4785,a),flip(a)]. 4790 R(T(x,K(y,z)),K(u,w),x) \ T(K(u,w) * x,x) = T(K(u,w),T(x,K(y,z))). [para(187(a,1),4337(a,1,2,2))]. 4794 K(x,T(y,z)) = R(T(u,K(w,v5)),K(x,y),u) \ T(K(x,y) * u,u). [hyper(268,a,3552,a(flip),b,4790,a)]. 4795 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(97(a,1),4679(a,1,2))]. 4796 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(4292,a,4795,a)]. 4797 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(58,a,4551,a(flip),b,4796,a)]. 4798 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(7(a,1),4797(a,1,2,1)),flip(a)]. 4799 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(268,a,4614,a(flip),b,4798,a),flip(a)]. 4800 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(168(a,1),4799(a,1,2)),flip(a)]. 4801 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(58,a,3450,a(flip),b,4773,a)]. 4802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(2380(a,1),4801(a,1,2))]. 4803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(3107,a,4802,a),flip(a)]. 4805 R(x,1 / y,z) = R(x,y \ 1,z). [para(928(a,1),4803(a,1,2)),flip(a)]. 4806 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(4805(a,1),2295(a,1,2))]. 4807 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2073(a,1),4806(a,1,2,1))]. 4808 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1419(a,1),2866(a,1,1))]. 4809 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(976(a,1),4808(a,1,2))]. 4810 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(569,a,4809,a),flip(a)]. 4811 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(58,a,3169,a,b,4810,a)]. 4812 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(2619(a,1),4811(a,1,1))]. 4814 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(58,a,4756,a(flip),b,4812,a)]. 4815 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(3170,a,4814,a)]. 4816 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(4815(a,1),4761(a,2,1))]. 4817 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(58,a,4370,a(flip),b,4816,a)]. 4818 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(58,a,3334,a(flip),b,3039,a),flip(a)]. 4820 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(268,a,4748,a(flip),b,4081,a),flip(a)]. 4822 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(268,a,3531,a(flip),b,4820,a),flip(a)]. 4823 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(3795(a,1),4822(a,1,2,2))]. 4824 K((x \ y) \ y,(z * (L(u,x \ 1,x) / x)) \ w) = K(x,(z * (x \ u)) \ w). [hyper(58,a,4483,a(flip),b,4729,a),flip(a)]. 4825 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(3719,a,4824,a)]. 4826 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(58,a,4562,a(flip),b,4825,a)]. 4827 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(407(a,1),4826(a,1,2,1,2))]. 4828 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(268,a,4604,a(flip),b,4827,a),flip(a)]. 4829 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(17(a,2),4828(a,1,2,2))]. 4830 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,4456,a(flip),b,4829,a)]. 4831 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,4827,a(flip),b,4830,a)]. 4832 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,4562,a,b,4831,a)]. 4833 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(58,a,4483,a,b,4831,a)]. 4834 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(3(a,1),4831(a,2,2,1))]. 4835 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(4831(a,1),4570(a,1,2,2))]. 4836 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(4831(a,1),4600(a,1,1))]. 4837 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [hyper(58,a,4005,a,b,4834,a)]. 4838 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(3105,a,4835,a),flip(a)]. 4839 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(4684,a,4838,a)]. 4840 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(4838(a,1),4684(a,1))]. 4841 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(3(a,1),4839(a,2,1,1))]. 4842 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(58,a,4008,a,b,4841,a)]. 4843 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(58,a,3957,a,b,4841,a)]. 4844 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [para(2(a,1),4841(a,2,1,2))]. 4845 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(4844(a,1),2937(a,1,2,2))]. 4846 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(4845(a,1),1507(a,2,2,1))]. 4847 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(4843(a,1),4304(a,1,2))]. 4848 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [hyper(3023,a,4847,a)]. 4849 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(4315,a,4848,a)]. 4850 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(2798(a,2),4849(a,1,1))]. 4851 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(250(a,1),4850(a,2,2))]. 4852 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(268,a,3982,a(flip),b,4851,a),flip(a)]. 4854 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(58,a,4833,a(flip),b,4836,a),flip(a)]. 4855 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,w \ (y \ w)). [hyper(58,a,4608,a(flip),b,4854,a),flip(a)]. 4856 K(x,T(y \ 1,z)) = K(x,(y * (u * w)) \ ((u * (x \ w)) * x)). [hyper(268,a,3860,a,b,4855,a)]. 4857 K(x,T((y / (z * u)) \ 1,w)) = K(x,y \ ((z * (x \ u)) * x)). [para(7(a,1),4856(a,2,2,1))]. 4858 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(58,a,3857,a(flip),b,4857,a),flip(a)]. 4859 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(58,a,4482,a(flip),b,4858,a),flip(a)]. 4860 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(58,a,4556,a,b,4859,a)]. 4866 L(K(x,x \ y),y,z) = K(x,x \ y). [para(4(a,1),4860(a,1,3))]. 4868 a(x,y,K(z,z \ y)) = 1. [hyper(105,a,4866,a,b,4314,a),flip(a)]. 4869 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(58,a,3895,a(flip),b,4866,a)]. 4870 a(x,y,K(z \ y,z)) = 1. [para(2695(a,1),4868(a,1,3))]. 4871 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(47,a,4870,a)]. 4872 L(K(x \ y,x),y,z) = ((x \ y) * x) / y. [hyper(268,a,320,a,b,4871,a),flip(a)]. 4873 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(58,a,4484,a(flip),b,4871,a)]. 4874 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(58,a,4550,a(flip),b,4869,a)]. 4876 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(5(a,1),4873(a,1,1,2,2))]. 4877 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(4873(a,1),4529(a,1,2))]. 4878 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(58,a,4604,a(flip),b,4874,a),flip(a)]. 4879 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(58,a,3944,a(flip),b,4876,a),flip(a)]. 4880 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4104(a,1),4879(a,1,1,2,1))]. 4881 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(58,a,1535,a,b,4872,a)]. 4882 L(K(x,y),y * x,z) = ((y \ (y * x)) * y) / (y * x). [para(4(a,1),4872(a,1,1,1))]. 4883 R(x,y,K(z \ y,z)) = x. [hyper(635,a,4877,a)]. 4885 R(x,y / z,z) = R(x,z \ y,z). [hyper(58,a,4396,a(flip),b,4883,a),flip(a)]. 4886 R(x,y * z,K(z,y)) = x. [para(4(a,1),4883(a,1,3,1))]. 4888 (x * (y * z)) * K(z,y) = x * (z * y). [para(4886(a,1),448(a,1,1)),flip(a)]. 4890 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(58,a,4118,a(flip),b,4885,a),flip(a)]. 4891 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(58,a,3222,a(flip),b,4885,a),flip(a)]. 4892 R(x,(y * z) / y,y) = R(x,z,y). [para(4(a,1),4885(a,2,2))]. 4894 R(x,y * K(z,y),z) = R(x,y,z). [para(2572(a,1),4892(a,1,2))]. 4895 K(x,L(y,x,z)) = K(x,y). [hyper(3993,a,4888,a)]. 4896 T(x * (y * z),K(u,w)) = K(y,z) * (x * (z * y)). [para(4888(a,1),285(a,1,1))]. 4897 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(4888(a,1),4566(a,1,2,1))]. 4898 K(L(x,y,z),y) = K(x,y). [hyper(58,a,4030,a,b,4895,a)]. 4899 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(58,a,2906,a,b,4895,a)]. 4900 L(K(x,y),z,y * x) = K(x,y). [hyper(58,a,4800,a(flip),b,4895,a)]. 4903 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(4895(a,1),4258(a,1,1,2,1)),flip(a)]. 4906 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(429(a,1),4898(a,1,1))]. 4908 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(4900(a,1),720(a,1,1))]. 4909 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(4878(a,1),3965(a,1,1)),flip(a)]. 4910 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4104(a,1),4878(a,1,2,2,1,2))]. 4911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(268,a,4663,a(flip),b,4897,a),flip(a)]. 4912 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(4908(a,2),258(a,1,2))]. 4913 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(4911(a,1),2469(a,1,1,1))]. 4914 L(K(x,y),y * x,z) = (x * y) / (y * x). [para(4(a,1),4882(a,2,1,1))]. 4915 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(58,a,3373,a(flip),b,4914,a)]. 4916 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(2500,a,4915,a),flip(a)]. 4918 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4916(a,1),4807(a,1,2,1)),flip(a)]. 4920 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(58,a,2408,a,b,4881,a)]. 4921 T(x,L(y,x,z)) = T(x,y). [hyper(268,a,4257,a(flip),b,4903,a),flip(a)]. 4923 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(58,a,4471,a(flip),b,4921,a)]. 4925 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(4921(a,1),97(a,1,2))]. 4926 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(429(a,1),4921(a,1,2))]. 4928 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(4925(a,1),1005(a,1,2,2))]. 4929 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(629,a,4912,a),flip(a)]. 4930 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [hyper(959,a,4920,a(flip))]. 4931 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(268,a,3965,a(flip),b,4909,a),flip(a)]. 4932 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(58,a,20,a,b,4926,a)]. 4933 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(4911(a,1),4932(a,1,1))]. 4934 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(4923(a,1),4933(a,1,1)),flip(a)]. 4935 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(4934(a,1),2719(a,1,2,1))]. 4937 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(3144(a,1),4846(a,1,1,1))]. 4938 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(58,a,2738,a(flip),b,4935,a),flip(a)]. 4939 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(4938(a,1),4171(a,1,2)),flip(a)]. 4940 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(4913(a,1),2502(a,1))]. 4941 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(4940,a,4906,a)]. 4942 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(97(a,1),4928(a,1,1,1))]. 4943 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1367,a,4942,a),flip(a)]. 4944 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(97(a,1),4943(a,1,2))]. 4945 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(58,a,3982,a(flip),b,4944,a),flip(a)]. 4947 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(4945(a,1),3965(a,1,1))]. 4948 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(58,a,3965,a(flip),b,4947,a),flip(a)]. 4949 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(4948(a,1),4852(a,1,1))]. 4950 L(K(x,x * y),y,z) = K(x,x * y). [para(4032(a,1),4949(a,1,1))]. 4952 L(K(x,x * y),y,z) = K(x,T(x * y,u)). [hyper(268,a,3546,a,b,4950,a),flip(a)]. 4953 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(58,a,4837,a(flip),b,4950,a)]. 4954 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(4950(a,2),2680(a,1,2))]. 4960 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(58,a,4487,a(flip),b,4953,a)]. 4961 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(4953(a,1),3965(a,1,1))]. 4962 K(L(x,y,z),T(u \ L(x,y,z),w)) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,v5),v6,v7))). [hyper(58,a,4725,a,b,4960,a)]. 4963 L(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(4952(a,2),3594(a,1))]. 4964 L(K(x * y,x),y,z) = K(x * y,x). [hyper(3196,a,4954,a)]. 4965 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(58,a,4842,a(flip),b,4964,a)]. 4966 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(4840,a,4965,a)]. 4968 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(58,a,3962,a,b,4965,a)]. 4969 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(58,a,4478,a(flip),b,4965,a),flip(a)]. 4970 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(58,a,4474,a(flip),b,4965,a),flip(a)]. 4971 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(4965(a,1),2909(a,1,1,1,2))]. 4972 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(4837(a,1),4963(a,1))]. 4973 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1003(a,1),4972(a,1,2))]. 4975 K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(4832(a,2),4972(a,1))]. 4976 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(4966(a,1),3068(a,1,1,1,2))]. 4977 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(58,a,3965,a(flip),b,4961,a),flip(a)]. 4978 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(4710,a,4977,a)]. 4979 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(58,a,4823,a(flip),b,4978,a),flip(a)]. 4980 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(2910,a,4971,a),flip(a)]. 4981 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(58,a,3960,a,b,4980,a)]. 4982 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(3542(a,1),4939(a,2,2))]. 4983 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(3110,a,4976,a),flip(a)]. 4985 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4621(a,1),4763(a,1,2,1))]. 4986 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(2781(a,2),4985(a,1,2,1))]. 4988 K(R(x,y,(x * ((x * y) / x)) \ z),T(u,w)) * z = (T(T(x,y),u) * y) * ((T(x,y) * y) \ z). [para(3691(a,1),2977(a,1,1))]. 4990 L(T(K(x * y,x),z) \ 1,K(x * y,x),y) = (x \ T(x * y,x)) \ (y * K(u,K(w,v5))). [para(202(a,1),3134(a,1,2,2)),flip(a)]. 4991 L(K(x * y,T(x,z)) \ 1,K(x * y,x),y) = (x \ T(x * y,x)) \ (y * K(u,K(w,v5))). [para(3552(a,1),4990(a,1,1,1))]. 4992 L(K(x,T(x * y,z)),K(x * y,x),y) = (x \ T(x * y,x)) \ (y * K(u,K(w,v5))). [para(3689(a,2),4991(a,1,1))]. 4993 K(x,T(x * y,z)) = (x \ T(x * y,x)) \ (y * K(u,K(w,v5))). [hyper(58,a,4039,a(flip),b,4992,a)]. 4995 K(x,T(x * K(y,z),u)) = K(y,T(x / z,x) \ x) \ (K(y,z) * K(w,K(v5,v6))). [para(4496(a,2),4993(a,2,1))]. 4996 K(x,T(x * K(y,z),u)) = K(y,T(x / z,x) \ x) \ K(y,z). [para(204(a,1),4995(a,2,2))]. 4997 K(x,T(x * K(y,z),u)) = K(T(x / z,x) \ x,y) * K(y,z). [hyper(268,a,3004,a(flip),b,4996,a),flip(a)]. 4998 K(x,T(x * K(y,z),u)) = K(z,T(x / y,x) \ x) * K(y,z). [para(4531(a,1),4997(a,2,1))]. 4999 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(3594,a,4998,a),flip(a)]. 5000 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(58,a,4646,a(flip),b,4999,a)]. 5001 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5000(a,1),2876(a,1,1,1,2))]. 5002 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(2553(a,2),5001(a,1,1,1))]. 5003 R(T(x,K(y,z)),K(u,w),x) = T(x,x * K(w,u)). [hyper(230,a,5002,a)]. 5004 K(x,T(y,z)) = T(u,u * K(y,x)) \ T(K(x,y) * u,u). [para(5003(a,1),4794(a,2,1))]. 5005 K(x,T((y * (x \ z)) \ u,w)) = T(v5,v5 * K((y * z) \ (u * x),x)) \ T(K(x,(y * (x \ z)) \ u) * v5,v5). [para(4839(a,1),5004(a,2,1,2,2))]. 5008 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(2577(a,1),4077(a,1,1))]. 5009 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(569,a,5008,a),flip(a)]. 5010 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(5008(a,1),569(a,1))]. 5011 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(2674(a,1),5009(a,1,2)),flip(a)]. 5012 L(K(x,T(y,z)),L(y,u,w),v5) = K(x,((v5 / y) * L(y,u,w)) \ (v5 * L(y,u,w))). [hyper(268,a,3713,a,b,4248,a)]. 5013 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(96(a,1),5012(a,1,1,2)),flip(a)]. 5014 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1364(a,1),5013(a,1,2)),flip(a)]. 5015 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(58,a,3991,a(flip),b,5014,a)]. 5016 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(58,a,3953,a(flip),b,5014,a),flip(a)]. 5017 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(58,a,4938,a(flip),b,4910,a)]. 5018 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(58,a,4931,a(flip),b,5017,a)]. 5019 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(4975,a,5018,a)]. 5020 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(3(a,1),5019(a,1,2,2,1))]. 5021 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(268,a,3446,a(flip),b,5020,a),flip(a)]. 5022 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(268,a,4983,a(flip),b,5021,a),flip(a)]. 5023 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(3(a,1),5022(a,2,2,2,1))]. 5024 K(L(x,y,z),T(u \ L(x,y,z),w)) = K(L(x,y,z),x * (u \ L(K(x,v5),v6,v7))). [hyper(58,a,4962,a,b,5023,a)]. 5025 K(L(x,y,z),T(u \ L(x,y,z),w)) = K(L(x,y,z),u \ x). [hyper(268,a,4979,a(flip),b,5024,a),flip(a)]. 5026 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [hyper(3594,a,5025,a)]. 5027 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(5026(a,1),3016(a,1,1,2)),flip(a)]. 5028 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(268,a,3016,a(flip),b,5027,a),flip(a)]. 5029 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(5028(a,1),3863(a,1,1,2))]. 5030 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(4981(a,1),5029(a,1,1,2))]. 5031 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(60(a,1),5030(a,1,1,2,1,2))]. 5032 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(2832(a,1),5031(a,1,1))]. 5033 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(58,a,20,a,b,5032,a)]. 5034 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(2872(a,1),5033(a,1,1)),flip(a)]. 5035 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(2808,a,5034,a)]. 5036 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(124,a,5035,a)]. 5037 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(268,a,2614,a,b,5036,a)]. 5039 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(5036(a,1),4350(a,1,2,2)),flip(a)]. 5040 K(x * L(y,z,u),y) = K(y * x,y). [hyper(268,a,3597,a(flip),b,5039,a),flip(a)]. 5042 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(268,a,4182,a,b,5040,a),flip(a)]. 5043 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(58,a,5015,a(flip),b,5040,a)]. 5044 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(58,a,4438,a(flip),b,5040,a),flip(a)]. 5046 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(58,a,4970,a(flip),b,5044,a)]. 5047 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(3740,a,5046,a)]. 5050 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(268,a,2512,a(flip),b,5043,a),flip(a)]. 5051 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(58,a,5016,a(flip),b,5050,a)]. 5052 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(5050(a,1),4693(a,1,1,2))]. 5054 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(268,a,4968,a(flip),b,5051,a),flip(a)]. 5055 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(87(a,1),5054(a,1,1,2))]. 5056 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(58,a,4480,a(flip),b,5055,a)]. 5057 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(268,a,4969,a(flip),b,5056,a),flip(a)]. 5058 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(58,a,4714,a(flip),b,5057,a)]. 5059 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),5058(a,2,1))]. 5060 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(58,a,4786,a(flip),b,5059,a),flip(a)]. 5061 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(58,a,4028,a(flip),b,5060,a)]. 5063 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(5061(a,1),4311(a,1,1))]. 5064 K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). [hyper(3019,a,5063,a)]. 5065 K(L(x,y,z),u) * K(u,x) != w | a(z,y,K(u,x)) = w. [para(5063(a,1),3036(a,1,2))]. 5066 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(58,a,4313,a(flip),b,5064,a)]. 5067 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(30,a,4305,a,b,5064,a)]. 5069 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(58,a,3946,a(flip),b,5067,a),flip(a)]. 5070 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(510(a,1),5067(a,2,1))]. 5071 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(5066(a,1),4344(a,2,2))]. 5072 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(58,a,4727,a(flip),b,5069,a)]. 5073 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(728(a,1),5069(a,1,1)),flip(a)]. 5074 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(191(a,1),5065(a,1))]. 5075 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(5067(a,2),5074(a,1,2))]. 5076 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(5071(a,1),4140(a,2,2))]. 5078 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(58,a,4941,a(flip),b,5072,a)]. 5080 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(58,a,4880,a(flip),b,5078,a),flip(a)]. 5081 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(2749(a,1),5052(a,1,1,2)),flip(a)]. 5082 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(268,a,3806,a(flip),b,5081,a),flip(a)]. 5084 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1000(a,1),5082(a,1,1))]. 5085 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(5084(a,1),4716(a,2,2))]. 5086 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(268,a,3813,a,b,5085,a),flip(a)]. 5087 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(268,a,3675,a(flip),b,5073,a),flip(a)]. 5088 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(268,a,557,a(flip),b,5087,a),flip(a)]. 5089 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(3717,a,5088,a)]. 5091 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(4762,a,5089,a)]. 5092 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(58,a,5091,a(flip),b,5080,a)]. 5093 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(58,a,4439,a(flip),b,5092,a)]. 5094 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(58,a,2871,a,b,5093,a)]. 5095 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(268,a,4711,a(flip),b,5094,a),flip(a)]. 5096 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(60(a,1),5095(a,2,1))]. 5097 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(5096(a,1),4171(a,1,1))]. 5098 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(5086(a,1),5076(a,1,2))]. 5099 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(58,a,4644,a(flip),b,5098,a),flip(a)]. 5100 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(268,a,5064,a(flip),b,5099,a),flip(a)]. 5101 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(215,a,5100,a)]. 5103 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(4(a,1),5101(a,1,3,1)),flip(a)]. 5104 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(2820(a,1),5101(a,1,3))]. 5105 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(3676(a,1),5101(a,1,3)),flip(a)]. 5106 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(231,a,2395,a),flip(a)]. 5108 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(58,a,3472,a(flip),b,5106,a)]. 5109 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(3472(a,1),5108(a,2,1))]. 5110 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(76(a,1),5109(a,1,1,2)),flip(a)]. 5111 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(76(a,1),5110(a,2,2,2,1,1,2))]. 5112 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [hyper(520,a,5111,a)]. 5113 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(5112(a,1),3350(a,1,1))]. 5114 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(58,a,3214,a(flip),b,5113,a)]. 5115 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,4584,a(flip),b,5114,a),flip(a)]. 5116 K(x,((y * x) * z) / (x * (y * (u \ z)))) = L(K(x,u),z,y * x). [hyper(4148,a,5115,a),flip(a)]. 5117 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,4605,a(flip),b,5115,a)]. 5118 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(5117(a,1),2553(a,2,2)),flip(a)]. 5119 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(5(a,1),5116(a,1,2,2,2)),flip(a)]. 5120 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(15(a,2),5119(a,2,2))]. 5121 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(58,a,4734,a,b,5120,a)]. 5122 K(x,R(y,x,z)) = K(x,y). [hyper(58,a,4900,a(flip),b,5120,a),flip(a)]. 5124 K(R(x,y,z),y) = K(x,y). [hyper(58,a,4124,a,b,5122,a)]. 5125 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(58,a,4746,a(flip),b,5122,a)]. 5126 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(26(a,1),5122(a,1,2))]. 5128 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(268,a,5124,a,b,5124,a)]. 5130 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(5128(a,1),4127(a,1,2)),flip(a)]. 5132 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(58,a,4591,a,b,5125,a)]. 5133 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(58,a,5114,a(flip),b,5125,a)]. 5134 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(58,a,4584,a(flip),b,5125,a)]. 5135 T(x,R(y,x,z)) = T(x,y). [hyper(268,a,3975,a(flip),b,5130,a),flip(a)]. 5136 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(461(a,1),5135(a,1,2))]. 5137 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(4(a,1),5132(a,1,2,1)),flip(a)]. 5138 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(5134(a,1),5118(a,1,2))]. 5139 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(58,a,3235,a,b,5126,a)]. 5140 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(5121(a,1),446(a,1,1))]. 5141 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(58,a,4606,a(flip),b,5133,a),flip(a)]. 5142 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(58,a,5137,a(flip),b,5141,a),flip(a)]. 5143 K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x). [hyper(58,a,3244,a(flip),b,5142,a),flip(a)]. 5144 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(2570,a,5138,a),flip(a)]. 5145 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(5122(a,1),5139(a,1,1))]. 5147 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(58,a,3315,a(flip),b,5140,a),flip(a)]. 5148 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(2558(a,1),5147(a,2,1))]. 5149 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(58,a,4706,a(flip),b,5148,a)]. 5150 L(x,K(y,z),z * y) = x. [hyper(622,a,5149,a)]. 5151 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(58,a,4908,a,b,5149,a)]. 5152 L(x,y * z,K(z,y)) = x. [hyper(58,a,4929,a(flip),b,5150,a)]. 5155 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(58,a,3321,a(flip),b,5152,a),flip(a)]. 5156 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [para(97(a,1),5151(a,1,2))]. 5160 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(117,a,5155,a(flip))]. 5161 (x * y) \ T(z * (x * y),K(u,w)) = T(z,y * x). [hyper(104,a,4896,a,b,5156,a(flip))]. 5162 T(x,T(y * z,u)) = T(x,z * y). [hyper(58,a,3665,a,b,5161,a)]. 5163 T(x,y * z) = T(x,z * y). [hyper(3729,a,5162,a)]. 5164 T(x,T(y * z,u)) = x * K(x,z * y). [hyper(268,a,2553,a(flip),b,5162,a),flip(a)]. 5165 T(x,T(y,z)) = T(x,(u \ y) * u). [para(5(a,1),5162(a,1,2,1))]. 5171 T(x,(y \ z) * y) = x / K(z,T(x,u)). [hyper(58,a,3693,a(flip),b,5165,a),flip(a)]. 5172 K(x,T(y * z,u)) = K(x,z * y). [hyper(3663,a,5164,a)]. 5174 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(58,a,4662,a(flip),b,5172,a),flip(a)]. 5175 K(x,y * z) != u | K(x,z * y) = u. [para(5172(a,1),3594(a,1))]. 5178 K(x,(x / y) * z) != u | K(x,z * (y \ x)) = u. [para(4701(a,2),5175(a,1))]. 5179 K((x \ y) * x,z) = K(y,T(z,u)). [hyper(2490,a,5171,a)]. 5181 K(x * y,T(z,u)) = K(y * x,z). [para(4(a,1),5179(a,1,1,1)),flip(a)]. 5183 K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,w)). [para(3781(a,1),5179(a,1,1,1))]. 5186 K(x * y,z) != u | K(y * x,z) = u. [para(5181(a,1),3594(a,1))]. 5187 K(x * T(R(y,z,u),w),T(T(y,v5),v6)) = K(x * R(y,z,u),T(y,v5)). [hyper(58,a,4437,a(flip),b,5183,a),flip(a)]. 5189 K(x * R(T(y,z),u,w),T(T(y,v5),v6)) = K(x * R(y,u,w),T(y,v5)). [para(22(a,2),5187(a,1,1,2))]. 5190 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v6)). [hyper(3604,a,5189,a)]. 5192 T(T(x,y) * K(z * R(x,u,w),T(x,v5)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(5190(a,1),2942(a,1,1,2))]. 5193 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(58,a,22,a,b,5136,a)]. 5194 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(2700(a,1),5192(a,1,1))]. 5195 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(58,a,3335,a(flip),b,5194,a),flip(a)]. 5196 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(268,a,3621,a(flip),b,5193,a),flip(a)]. 5197 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(268,a,22,a,b,5196,a),flip(a)]. 5198 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(5144(a,1),5197(a,1,1))]. 5199 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(6(a,1),5198(a,1,1,2,2)),flip(a)]. 5200 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(507,a,5199,a),flip(a)]. 5201 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(5199(a,1),3088(a,1,2,1))]. 5202 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(58,a,842,a(flip),b,5200,a)]. 5203 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(4(a,1),5200(a,1,1,2)),flip(a)]. 5204 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(267(a,1),5200(a,1,1)),flip(a)]. 5206 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(3273(a,1),5202(a,2,1))]. 5207 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(5204(a,1),4705(a,1,2,1)),flip(a)]. 5208 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1417(a,1),5203(a,1,1)),flip(a)]. 5209 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(268,a,174,a(flip),b,5208,a),flip(a)]. 5210 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(22(a,2),5209(a,2,1))]. 5211 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(268,a,581,a(flip),b,5210,a),flip(a)]. 5212 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(5211(a,1),2470(a,1,1))]. 5213 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(2503,a,5212,a),flip(a)]. 5214 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(5186,a,5213,a)]. 5215 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(268,a,4721,a,b,5214,a),flip(a)]. 5216 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(5215(a,1),5037(a,1,1,2))]. 5217 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(58,a,3088,a(flip),b,5201,a),flip(a)]. 5218 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(5217(a,1),2615(a,1,1,2))]. 5220 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(2831(a,1),5216(a,1,1))]. 5221 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(2871(a,1),5220(a,1,1,1,2))]. 5222 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(58,a,22,a,b,5221,a)]. 5223 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(2872(a,1),5222(a,1,1)),flip(a)]. 5224 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(58,a,5036,a(flip),b,5223,a)]. 5225 R(x,y,R(x,z,u)) = R(x,y,x). [hyper(125,a,5224,a)]. 5226 R(x,y,R(x,z,u)) = x * a(x,y,x). [hyper(268,a,4167,a,b,5225,a),flip(a)]. 5228 K(x,R(y,z,R(y,u,w))) = K(x,y). [para(5225(a,2),3908(a,1,2))]. 5229 K(T(x,y),T(z,u)) = K(x,R(z,w,R(T(z,u),v5,v6))). [hyper(3735,a,5228,a),flip(a)]. 5230 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(4372,a,5226,a)]. 5232 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(3680,a,5229,a),flip(a)]. 5234 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(5232(a,1),3348(a,1,1))]. 5235 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(3108,a,5234,a)]. 5236 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(5195(a,1),5234(a,1,2,2))]. 5238 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(5235(a,1),4366(a,1))]. 5239 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(4371(a,1),5236(a,1,2))]. 5240 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3036,a,5239,a),flip(a)]. 5241 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(5238,a,5240,a)]. 5244 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(5241(a,1),4817(a,1,1)),flip(a)]. 5245 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(229,a,5244,a),flip(a)]. 5247 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(268,a,4643,a,b,5245,a)]. 5249 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(268,a,4226,a(flip),b,5206,a),flip(a)]. 5250 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(4224(a,1),5249(a,1,1)),flip(a)]. 5251 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(5250(a,1),4282(a,1,2))]. 5252 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(2831(a,1),5218(a,1,1))]. 5253 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(58,a,22,a,b,5252,a)]. 5254 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(2615(a,1),5253(a,1,1)),flip(a)]. 5255 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(268,a,24,a(flip),b,5254,a),flip(a)]. 5256 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(5255(a,1),1657(a,1,1,1)),flip(a)]. 5257 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(2941(a,1),5251(a,1,2,1)),flip(a)]. 5258 x / (T(K(y,z),u) * (((w \ 1) * x) * R(w,w \ 1,x))) = K(z,((y \ 1) * v5) \ v5) * K(((w \ 1) * x) \ x,(w \ 1) * x). [para(3771(a,2),3295(a,1,2,1))]. 5259 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1506(a,2),4192(a,1,2,2))]. 5260 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(3109,a,4571,a),flip(a)]. 5261 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(2611(a,1),5260(a,1,2)),flip(a)]. 5262 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(268,a,1657,a(flip),b,5256,a),flip(a)]. 5263 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(22(a,2),5262(a,2,3))]. 5264 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(87(a,1),5259(a,1,2)),flip(a)]. 5265 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(2287(a,2),2379(a,1,1))]. 5266 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) * (K(x,z) * K(y,x))). [para(4063(a,1),2737(a,2,2))]. 5267 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(58,a,4612,a(flip),b,3319,a),flip(a)]. 5269 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(w,v5)) * K(y,x)). [para(4256(a,2),5266(a,2,2))]. 5270 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * T(u,K(w,v5))) * K(y,x)). [para(565(a,1),5269(a,2,2,1))]. 5272 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * T(T(u,K(w,v5)),K(v6,v7)). [para(3024(a,2),5270(a,2,2))]. 5273 T(K(x,y) * K(z,x),u) * u = K(z,x) * (K(x,y) * T(T(u,K(w,v5)),K(v6,v7))). [hyper(268,a,735,a(flip),b,5272,a),flip(a)]. 5275 T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(w,v5)) * K(x,y)). [para(97(a,1),5273(a,2,2))]. 5276 T(K(x,y) * K(z,x),u) * u = u * (K(x,y) * K(z,x)). [hyper(268,a,4254,a(flip),b,5275,a),flip(a)]. 5277 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(30,a,2571,a,b,5276,a)]. 5278 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(29,a,2553,a(flip),b,5277,a)]. 5279 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(5278(a,2),2553(a,2,2)),flip(a)]. 5280 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(191(a,1),5279(a,1,2,1))]. 5281 T(T(x,K(y,z)),K(u,w)) = T(x,K(v5,v6) * K(v7,v5)). [hyper(58,a,4354,a,b,5280,a)]. 5283 T(T(x,K(y,z)),K(u,w)) = T(x,K(v5,v6) * K(v6,v7)). [hyper(268,a,5163,a,b,5281,a),flip(a)]. 5284 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(w,v5) * K(v6,w)) \ u. [para(5281(a,1),4386(a,2,1))]. 5285 T(x,K(y,z) * K(z,u)) \ x = K(w,K(v5,v6)) * K(v7,K(v8,v9)). [para(5283(a,1),3149(a,1,1))]. 5286 K(K(x,y) * K(y,z),u) = K(w,K(v5,v6)) * K(v7,K(v8,v9)). [hyper(2491,a,5285,a)]. 5289 K(K(x,y) * K(z,x),u) = K(K(w,v5) * K(v5,v6),K(w,v5) \ u). [hyper(268,a,2457,a,b,5284,a)]. 5292 K(K(x,y) * K(z,x),u) = K(K(w,v5) * K(v5,v6),K(v5,w) * u). [para(3004(a,1),5289(a,2,2))]. 5294 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(w,v5) * K(v6,w)). [hyper(58,a,5278,a(flip),b,5292,a),flip(a)]. 5295 K(K(x,y) * K(z,x),u) = K(u,K(w,v5) * K(v6,w)). [hyper(58,a,5292,a,b,5294,a)]. 5297 K(x,K(y,z) * K(u,y)) = K(w,K(v5,v6)) * K(v7,K(v8,v9)). [hyper(58,a,5286,a(flip),b,5294,a),flip(a)]. 5298 K(a(K(x,y),z,u),w) = K(w,K(v5,v6) * K(v7,v5)). [hyper(58,a,4360,a,b,5295,a)]. 5302 K(x,K(y,z) * K(u,y)) = 1. [hyper(268,a,2685,a(flip),b,5297,a),flip(a)]. 5303 K(x,K(y,z) * K(z,u)) = 1. [hyper(5175,a,5302,a)]. 5304 K(a(K(x,y),z,u),w) = 1. [hyper(58,a,5298,a,b,5302,a)]. 5305 K(x,a(y,z,y)) = 1. [para(4166(a,1),5302(a,1,2))]. 5306 T(x,a(y,z,y)) = x. [hyper(51,a,5305,a)]. 5307 x * K(y,a(z,u,z)) != w | x = w. [para(5305(a,2),113(a,1,2))]. 5308 a(x,y,x) * z = z * a(x,y,x). [hyper(1714,a,5306,a),flip(a)]. 5309 T(a(x,y,x),z) = a(x,y,x). [hyper(49,a,5306,a)]. 5310 (x * a(y,z,y)) / x = a(y,z,y). [para(5306(a,1),149(a,1,2))]. 5311 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(5306(a,1),388(a,1))]. 5312 T(x,y \ R(y,z,y)) = x. [para(4162(a,1),5306(a,1,2))]. 5314 K(a(K(x,y),z,u),w) = a(K(v5,K(v6,v7)),v8,v9). [hyper(268,a,326,a,b,5304,a),flip(a)]. 5315 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(5304(a,1),2498(a,1,1))]. 5316 (x * (y \ R(y,z,y))) / x = y \ R(y,z,y). [para(5312(a,1),149(a,1,2))]. 5317 K(x,a(y,z,K(u,w))) = 1. [para(5064(a,1),5303(a,1,2))]. 5318 T(x,a(y,z,K(u,w))) = x. [hyper(51,a,5317,a)]. 5319 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1714,a,5318,a),flip(a)]. 5320 x / a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) \ x = v5. [para(5318(a,1),388(a,1))]. 5322 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(268,a,4283,a(flip),b,5308,a),flip(a)]. 5323 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(5308(a,2),38(a,1))]. 5324 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(5308(a,1),532(a,1,2,1))]. 5325 (a(x,y,x) * z) * x = z * R(x,y,x). [para(5308(a,2),4286(a,1,1))]. 5326 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(5310(a,1),641(a,1,1)),flip(a)]. 5328 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(5322(a,1),447(a,1,1,1))]. 5329 R(T(a(x,y,x),z * x),z,x) = x \ (z \ (z * R(x,y,x))). [para(5325(a,1),4290(a,1,2,2)),flip(a)]. 5330 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(4273(a,2),5311(a,1))]. 5331 a(K(x,K(y,z)),u,w) != v5 | 1 = v5. [para(5314(a,1),226(a,1))]. 5332 a(K(x,y),K(z,u),w) != v5 | 1 = v5. [para(28(a,1),5331(a,1))]. 5333 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(3293(a,1),5316(a,1,1))]. 5334 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(106,a,5333,a(flip),b,4937,a(flip))]. 5335 a(x,y,K(z,u)) \ w = w * a(x,y,K(u,z)). [hyper(5320,a,4318,a)]. 5336 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(268,a,5319,a,b,5335,a),flip(a)]. 5337 a(x,y,K(z * u,z)) \ w = w * a(x,y,K(z,u)). [para(5103(a,2),5335(a,1,1))]. 5338 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(153,a,5336,a)]. 5341 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(33,a,5336,a,b,5337,a),flip(a)]. 5342 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(5(a,1),5341(a,1,3,2)),flip(a)]. 5343 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(58,a,5105,a,b,5342,a)]. 5344 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(2746(a,1),5343(a,1,3)),flip(a)]. 5345 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(58,a,5104,a,b,5344,a)]. 5346 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(4280(a,1),5326(a,1,1,2))]. 5347 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(3294,a,5334,a)]. 5348 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(4164(a,1),5347(a,1,3))]. 5349 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(5348(a,1),371(a,1,1)),flip(a)]. 5350 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(5349(a,1),4189(a,1,1))]. 5351 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(5350(a,1),1634(a,1,1)),flip(a)]. 5352 R(T(a(x,y,x),z * x),z,x) = x \ R(x,y,x). [para(4(a,1),5329(a,2,2))]. 5353 R(T(a(x,y,x),z * x),z,x) = a(x,y,x). [hyper(268,a,4164,a(flip),b,5352,a),flip(a)]. 5355 R(a(x,y,x),z,x) = a(x,y,x). [para(5309(a,1),5353(a,1,1))]. 5356 ((a(L(x,y,z),u,L(x,y,z)) * (z * y)) * L(x,y,z)) / (z * (y * x)) = a(L(x,y,z),u,L(x,y,z)). [hyper(58,a,412,a,b,5355,a)]. 5358 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(4818(a,1),5315(a,1,2))]. 5359 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(107,a,5358,a)]. 5360 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(2931(a,1),5359(a,1,2))]. 5361 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(4123(a,1),5359(a,1,2))]. 5362 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(5309(a,1),5324(a,2,1))]. 5363 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(4176(a,2),5362(a,1,2,1))]. 5365 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(58,a,4345,a,b,5363,a)]. 5366 R(x,y,z) != L(a(u,T(y,z),u),T(y,z),z) | a(u,y,u) = x. [para(5365(a,2),46(a,1)),flip(a)]. 5367 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(2600(a,1),5365(a,1,1,2)),flip(a)]. 5368 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(2600(a,1),5367(a,2,2))]. 5369 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(5325(a,1),5356(a,1,1))]. 5370 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(414(a,1),5369(a,1,1))]. 5371 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(5036(a,1),5370(a,1,1,2,2))]. 5372 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(58,a,5346,a(flip),b,5371,a)]. 5374 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(7(a,1),5372(a,1,2)),flip(a)]. 5375 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(2986(a,1),2988(a,2,2,1,1))]. 5376 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(268,a,2239,a(flip),b,5375,a),flip(a)]. 5377 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1283(a,1),5376(a,2,1))]. 5378 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(2633(a,1),5377(a,1,1,2,1))]. 5379 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(2623(a,1),5378(a,1,1))]. 5380 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(3923(a,1),5379(a,1,1)),flip(a)]. 5381 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(4170(a,1),5380(a,1,1)),flip(a)]. 5382 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(5381(a,1),4389(a,1,1,1)),flip(a)]. 5383 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(268,a,5202,a,b,5382,a),flip(a)]. 5384 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(4(a,1),5261(a,2,1,1))]. 5385 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(268,a,4666,a(flip),b,5384,a),flip(a)]. 5387 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(4(a,1),5385(a,1,1,1))]. 5388 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(4(a,1),5387(a,1,2,2))]. 5389 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(2970(a,1),5388(a,1,2,1,3))]. 5390 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(4091(a,1),4092(a,2,2,1,1))]. 5391 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(76(a,1),5390(a,2,2,1))]. 5393 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(268,a,2369,a(flip),b,5391,a),flip(a)]. 5394 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(76(a,1),5393(a,1,1,2,1))]. 5395 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(2369(a,1),5394(a,1,1))]. 5396 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(58,a,1727,a(flip),b,5395,a)]. 5397 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(5396(a,1),5265(a,1,1,1))]. 5398 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(58,a,970,a(flip),b,5397,a)]. 5399 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(94(a,1),5398(a,1,1,2))]. 5400 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(9(a,2),5399(a,1,1)),flip(a)]. 5401 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(268,a,4245,a(flip),b,5400,a)]. 5402 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(9(a,2),5401(a,2,1,1)),flip(a)]. 5403 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(5402(a,1),5383(a,2,1))]. 5404 R(a(x,y,x),x,z) = a(x,y,x). [hyper(5307,a,5403,a),flip(a)]. 5405 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(58,a,440,a,b,5404,a)]. 5406 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(4174(a,1),5405(a,1,1,1))]. 5407 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(443(a,1),5406(a,1,1))]. 5408 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(5225(a,1),5407(a,1,1,1,1))]. 5409 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(5328,a,5408,a)]. 5411 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(58,a,4378,a(flip),b,4733,a)]. 5412 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(5010,a,5411,a)]. 5415 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(4380(a,1),5412(a,2,2,2))]. 5416 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(5(a,1),5415(a,2,2,2,1))]. 5417 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(4(a,1),5416(a,2,2))]. 5418 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(268,a,4365,a(flip),b,5417,a),flip(a)]. 5419 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(58,a,5011,a(flip),b,5418,a),flip(a)]. 5420 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(5418(a,1),3170(a,1))]. 5422 K(x,T((y * (x \ z)) \ u,w)) = T(v5,v5 * K((y * z) \ (u * x),x)) \ T(K(x,(y * z) \ (u * x)) * v5,v5). [para(4831(a,1),5005(a,2,2,1,1))]. 5423 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),v5)). [hyper(268,a,5004,a,b,5422,a),flip(a)]. 5424 K(x,T((y * z) \ (u * x),w)) = K(x,u / (y * (x \ z))). [hyper(3720,a,5423,a),flip(a)]. 5425 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(58,a,4593,a(flip),b,5424,a),flip(a)]. 5426 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(5425(a,1),4891(a,1,1))]. 5427 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(58,a,4890,a(flip),b,5426,a)]. 5428 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(58,a,5143,a(flip),b,5427,a),flip(a)]. 5429 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(58,a,3320,a(flip),b,5428,a),flip(a)]. 5430 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(15(a,2),5429(a,1,2,1)),flip(a)]. 5431 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(2746(a,1),5430(a,1,1)),flip(a)]. 5432 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(5207(a,1),5430(a,1,1))]. 5433 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(5431(a,1),5432(a,1,1)),flip(a)]. 5434 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(76(a,1),2934(a,1,1,2))]. 5435 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),5434(a,1,1))]. 5436 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(1516(a,1),5435(a,1,1))]. 5437 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(76(a,1),5436(a,1,2,2,2))]. 5438 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(20(a,2),5437(a,1,2,2))]. 5439 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(1516(a,1),5438(a,1,2,2))]. 5440 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(4(a,1),5439(a,1,2))]. 5442 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(5440(a,1),4918(a,1,1)),flip(a)]. 5443 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(150,a,5442,a)]. 5444 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(58,a,2090,a(flip),b,5443,a)]. 5447 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(4691(a,1),5247(a,1,1,2))]. 5448 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(525(a,1),5447(a,1,1))]. 5449 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(177(a,1),5448(a,1,2)),flip(a)]. 5450 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(268,a,1657,a(flip),b,5449,a),flip(a)]. 5451 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(22(a,2),5450(a,2,3))]. 5452 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(58,a,5245,a(flip),b,5451,a)]. 5453 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(58,a,5241,a(flip),b,5452,a)]. 5455 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(58,a,5419,a(flip),b,5453,a),flip(a)]. 5457 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(58,a,5263,a,b,5455,a)]. 5458 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(58,a,4635,a(flip),b,5457,a)]. 5460 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(5458(a,1),5257(a,1,2)),flip(a)]. 5461 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(17(a,2),5460(a,2,2,2))]. 5462 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(4755(a,1),5461(a,2,2))]. 5463 (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(3004(a,1),2992(a,1,1))]. 5464 (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(4348(a,1),5463(a,1,1))]. 5465 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(235,a,5464,a),flip(a)]. 5468 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(58,a,3219,a(flip),b,5465,a)]. 5469 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(268,a,3532,a(flip),b,5468,a),flip(a)]. 5471 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(58,a,4749,a(flip),b,5469,a),flip(a)]. 5473 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(96(a,1),5471(a,1,2,2,1)),flip(a)]. 5474 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(58,a,5471,a,b,5473,a)]. 5475 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(3538,a,5474,a)]. 5478 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(4046(a,1),4051(a,1,1,2,1,1)),flip(a)]. 5479 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),5478(a,2,1,2,1))]. 5481 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(4046(a,1),5479(a,1,1)),flip(a)]. 5482 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [hyper(268,a,282,a,b,5481,a),flip(a)]. 5483 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(58,a,4268,a,b,5482,a)]. 5484 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(209,a,5483,a),flip(a)]. 5485 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(5359(a,1),5484(a,1,1,2))]. 5486 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(5359(a,1),5485(a,1,2))]. 5487 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(104,a,98,a(flip),b,5486,a)]. 5488 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(4(a,1),4138(a,1,1,1)),flip(a)]. 5489 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),v5)). [hyper(268,a,3692,a(flip),b,5488,a),flip(a)]. 5492 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(268,a,3548,a(flip),b,5489,a),flip(a)]. 5493 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(3721,a,5492,a),flip(a)]. 5495 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(58,a,3354,a(flip),b,5493,a)]. 5496 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(3606,a,5495,a),flip(a)]. 5498 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,4627,a,b,5496,a)]. 5499 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(58,a,5267,a,b,5498,a)]. 5500 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(15(a,2),5499(a,2,2,1))]. 5501 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(58,a,4132,a(flip),b,5500,a),flip(a)]. 5503 x / (T(K(y,z),u) * ((w \ x) * w)) = K(z,((y \ 1) * v5) \ v5) * K(((w \ 1) * x) \ x,(w \ 1) * x). [para(4930(a,1),5258(a,1,2,2))]. 5504 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * u) \ u,(y \ 1) * u) = u / ((y \ u) * T(y,x)). [para(3780(a,1),5503(a,1,2)),flip(a)]. 5505 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * (y * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(4(a,1),5504(a,2,2,1))]. 5506 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(5444(a,1),5505(a,1,1,2))]. 5507 T(K(x,y),z) * K(((y \ 1) * (y * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(3891(a,2),5506(a,1,1))]. 5509 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(5444(a,1),5507(a,1,2,1))]. 5510 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(3440(a,1),5509(a,1,2))]. 5511 T(K(x,y),z) * K(R(y,y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(3674(a,1),5510(a,1,2))]. 5513 (x * y) / (y * T(x,z)) = T(K(z,x),u) * K(x,y). [para(4899(a,1),5511(a,1,2)),flip(a)]. 5514 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(268,a,4508,a,b,5513,a),flip(a)]. 5516 x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(6(a,1),1369(a,1,1))]. 5517 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). [para(6(a,1),5516(a,1,2,1,1)),flip(a)]. 5518 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). [para(4(a,1),5517(a,2,2,1))]. 5520 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [hyper(116,a,5518,a)]. 5521 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(472,a,5520,a),flip(a)]. 5522 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(5521(a,1),4154(a,1,2))]. 5523 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(569,a,5522,a),flip(a)]. 5525 K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). [hyper(4362,a,5523,a)]. 5526 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(4894(a,1),5523(a,1,2)),flip(a)]. 5527 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(3023,a,5525,a)]. 5528 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(29,a,5042,a(flip),b,5527,a),flip(a)]. 5530 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(268,a,5230,a,b,5528,a)]. 5531 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(5528(a,2),4277(a,2,2))]. 5533 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(5420,a,5530,a),flip(a)]. 5535 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(17(a,1),5533(a,1,2))]. 5536 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(5224(a,1),5531(a,1,2))]. 5537 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(268,a,5523,a(flip),b,5526,a),flip(a)]. 5538 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(4297,a,5537,a)]. 5539 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(20(a,2),5538(a,1,3))]. 5540 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(58,a,1012,a(flip),b,5539,a)]. 5541 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(4218,a,5540,a)]. 5542 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(58,a,4939,a,b,5541,a)]. 5543 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(268,a,5535,a(flip),b,5542,a),flip(a)]. 5544 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(58,a,4982,a(flip),b,5543,a),flip(a)]. 5546 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(58,a,5462,a(flip),b,5536,a),flip(a)]. 5547 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(322(a,1),5546(a,1,2,3))]. 5548 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(5323,a,5547,a)]. 5549 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(58,a,5409,a,b,5548,a)]. 5550 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(58,a,5458,a(flip),b,5548,a),flip(a)]. 5551 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(5(a,1),5549(a,1,2)),flip(a)]. 5552 R(a(x,y,x),z,u) = a(x,y,x). [hyper(58,a,5230,a(flip),b,5551,a),flip(a)]. 5556 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(58,a,5368,a(flip),b,5552,a),flip(a)]. 5557 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(5552(a,1),94(a,1,1)),flip(a)]. 5560 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(2832(a,1),5556(a,1,2)),flip(a)]. 5561 L(x,y,a(z,u,z)) = x. [hyper(416,a,5557,a)]. 5562 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(5557(a,1),9(a,2,1)),flip(a)]. 5563 L(x,y,a(z,u,z)) != w | x = w. [para(5561(a,1),45(a,2))]. 5564 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(5561(a,1),509(a,1,2))]. 5565 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(5561(a,1),411(a,1,2,1)),flip(a)]. 5566 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(5550(a,1),4759(a,1,1))]. 5567 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(280,a,5566,a)]. 5568 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(5230(a,1),5567(a,1,2)),flip(a)]. 5569 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(268,a,4195,a(flip),b,5568,a),flip(a)]. 5571 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(4688,a,5569,a),flip(a)]. 5572 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(58,a,5137,a(flip),b,5571,a)]. 5573 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(58,a,5475,a(flip),b,5572,a)]. 5575 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(58,a,5501,a(flip),b,5573,a)]. 5577 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(58,a,5389,a(flip),b,5575,a),flip(a)]. 5578 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(58,a,5264,a(flip),b,5560,a)]. 5579 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(58,a,5433,a(flip),b,5577,a)]. 5580 R(K(x,y),z,u) = K(R(x,z,u),y). [para(3229(a,1),5579(a,1,1))]. 5581 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(5580(a,2),2679(a,1,1))]. 5583 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(3187,a,5581,a)]. 5584 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(58,a,5580,a(flip),b,5583,a)]. 5586 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(5583(a,1),5359(a,1,2))]. 5587 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(58,a,5361,a(flip),b,5586,a)]. 5588 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(5557(a,1),5565(a,2,1))]. 5589 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(268,a,5564,a(flip),b,5588,a),flip(a)]. 5590 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(15(a,2),5589(a,2,2))]. 5591 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(5561(a,1),5590(a,1,2))]. 5592 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(5591(a,2),5557(a,1,1))]. 5593 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(5308(a,1),5592(a,1,1,1))]. 5594 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [hyper(58,a,4233,a(flip),b,5593,a),flip(a)]. 5595 a(x,R(y,z,u),x) = a(x,y,x). [hyper(30,a,4187,a,b,5594,a)]. 5596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(5595(a,1),4199(a,1,1)),flip(a)]. 5597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(268,a,4199,a(flip),b,5596,a),flip(a)]. 5598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(5597(a,1),4986(a,1,2))]. 5599 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(692(a,1),5598(a,1,2)),flip(a)]. 5601 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(5599(a,1),2484(a,1,2))]. 5602 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(5601,a,5514,a),flip(a)]. 5603 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(5361(a,1),5602(a,1,1))]. 5604 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(190,a,5603,a)]. 5605 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(4398,a,5604,a)]. 5606 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),5604(a,1,1))]. 5608 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(58,a,4701,a(flip),b,5606,a)]. 5609 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(58,a,5174,a(flip),b,5608,a)]. 5610 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(2592(a,1),5609(a,2,1))]. 5611 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(5604(a,1),5605(a,1,1))]. 5612 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(5557(a,1),5562(a,1,2,1))]. 5613 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(2616(a,1),5578(a,2,2))]. 5614 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(4193,a,5613,a)]. 5615 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(5557(a,1),5612(a,1,2))]. 5616 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(631,a,5615,a)]. 5617 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(5563,a,5616,a),flip(a)]. 5619 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),5617(a,1,1)),flip(a)]. 5620 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(4159(a,1),5617(a,1,1))]. 5621 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(4161(a,1),5619(a,1,1))]. 5622 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(4188(a,1),5619(a,1,1))]. 5623 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(58,a,5610,a,b,5621,a)]. 5624 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(3676(a,1),5621(a,1,1)),flip(a)]. 5625 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(268,a,5620,a(flip),b,5624,a),flip(a)]. 5626 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(2746(a,1),5625(a,1,1)),flip(a)]. 5627 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(58,a,5622,a,b,5626,a)]. 5628 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(1975(a,1),5627(a,1,1)),flip(a)]. 5629 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(5145(a,2),5627(a,2,1)),flip(a)]. 5630 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(58,a,5360,a,b,5628,a)]. 5631 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(5584(a,1),5628(a,2,1))]. 5632 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(58,a,2898,a,b,5623,a)]. 5633 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(58,a,3095,a(flip),b,5623,a)]. 5634 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(3239(a,1),5629(a,2,1))]. 5635 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(268,a,5627,a(flip),b,5634,a),flip(a)]. 5636 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(5145(a,1),5635(a,1,1))]. 5637 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(5584(a,1),5636(a,2,1))]. 5638 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(2535(a,1),2510(a,1,1))]. 5639 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(2535(a,1),5638(a,1,2,1,1)),flip(a)]. 5640 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(2679(a,1),5639(a,2,2,1))]. 5641 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(2931(a,1),5640(a,2,2))]. 5642 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(2528(a,1),5641(a,1,1,1)),flip(a)]. 5643 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(2931(a,1),5642(a,2,1,2))]. 5644 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,5360,a(flip),b,5643,a),flip(a)]. 5645 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(268,a,5631,a(flip),b,5644,a),flip(a)]. 5646 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(5630(a,1),5645(a,1,1)),flip(a)]. 5647 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(268,a,5611,a(flip),b,5646,a),flip(a)]. 5648 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(58,a,5637,a(flip),b,5647,a)]. 5649 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(2692(a,1),5097(a,1,2)),flip(a)]. 5650 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(268,a,5544,a,b,5649,a),flip(a)]. 5653 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(17(a,2),5650(a,1,2))]. 5654 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(4637,a,5653,a)]. 5655 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(268,a,5230,a(flip),b,5654,a),flip(a)]. 5656 L(a(x,y,x),z,u) = a(x,y,x). [hyper(58,a,5374,a(flip),b,5655,a)]. 5658 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(268,a,5552,a,b,5656,a)]. 5664 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(5656(a,1),5614(a,1,1))]. 5665 a(x,T(y,z),x) = a(x,y,x). [hyper(5366,a,5658,a),flip(a)]. 5666 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(5658(a,1),339(a,1))]. 5669 a(x,y / z,x) = a(x,z \ y,x). [para(99(a,1),5665(a,1,2)),flip(a)]. 5670 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(183(a,1),5665(a,1,2)),flip(a)]. 5671 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(458(a,1),5665(a,1,2)),flip(a)]. 5672 L(x,T(y,z),x) = x / a(x,y,x). [para(5665(a,1),4180(a,1,2)),flip(a)]. 5675 L(x,T(y,z),x) = L(x,y,x). [hyper(268,a,4180,a(flip),b,5672,a),flip(a)]. 5676 L(x,y / z,x) = L(x,z \ y,x). [para(99(a,1),5675(a,1,2)),flip(a)]. 5678 L(x,y * K(z,y),x) = L(x,y,x). [para(2600(a,1),5675(a,1,2)),flip(a)]. 5681 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(2375(a,2),5676(a,1,2))]. 5682 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(2601(a,2),5676(a,1,2))]. 5683 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(2831(a,1),5678(a,1,2))]. 5684 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(58,a,5670,a(flip),b,5671,a)]. 5685 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(58,a,5595,a(flip),b,5684,a),flip(a)]. 5687 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(5685(a,1),4275(a,1,2,1)),flip(a)]. 5688 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(268,a,5669,a(flip),b,5664,a),flip(a)]. 5690 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(13(a,2),5688(a,2,2))]. 5691 a(x,L(y,z,u),x) = a(x,y,x). [hyper(5666,a,5690,a),flip(a)]. 5693 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1631(a,2),5691(a,1,2)),flip(a)]. 5694 R(x,L(y,z,u),x) = x * a(x,y,x). [para(5691(a,1),4167(a,1,2)),flip(a)]. 5695 R(x,L(y,z,u),x) = R(x,y,x). [hyper(268,a,4167,a(flip),b,5694,a),flip(a)]. 5696 L(x,y,z) * T(R(u,x,u),R(u,w,u) * v5) = T(T(u,u * v5) * L(x,y,z),u). [para(5695(a,1),4708(a,1,2,1))]. 5697 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(5693(a,1),4177(a,1,1)),flip(a)]. 5698 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(268,a,4177,a(flip),b,5697,a),flip(a)]. 5699 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(268,a,4275,a(flip),b,5687,a),flip(a)]. 5700 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(58,a,5683,a(flip),b,5682,a),flip(a)]. 5702 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(58,a,5699,a(flip),b,5700,a),flip(a)]. 5704 L(x,R(y,z,u),x) = L(x,y,x). [para(4(a,1),5702(a,2,2))]. 5705 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(9(a,2),5681(a,2,2))]. 5706 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(58,a,5704,a(flip),b,5705,a)]. 5708 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(5706(a,1),5632(a,1,2))]. 5709 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(3260,a,5708,a)]. 5710 L(x,y,z) * T(R(u,x,u),w * R(u,v5,u)) = T(T(u,u * w) * L(x,y,z),u). [para(5163(a,1),5696(a,1,2))]. 5711 L(x,y,z) * T(R(u,x,u),w * u) = T(T(u,u * w) * L(x,y,z),u). [para(337(a,1),5710(a,1,2,2,2))]. 5712 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(690(a,1),5711(a,1,2)),flip(a)]. 5713 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(58,a,4719,a(flip),b,5712,a)]. 5714 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(104,a,5713,a(flip),b,2553,a(flip))]. 5715 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(4157,a,5714,a),flip(a)]. 5716 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(5074,a,5715,a(flip)),flip(a)]. 5717 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),5716(a,1,1))]. 5718 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(5178,a,5717,a)]. 5719 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(5047(a,1),5718(a,2,3))]. 5720 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(268,a,5101,a(flip),b,5719,a),flip(a)]. 5722 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(4973,a,5720,a)]. 5723 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(58,a,2898,a,b,5722,a)]. 5724 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(5722(a,1),3007(a,1,2,1)),flip(a)]. 5725 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(268,a,5338,a(flip),b,5724,a),flip(a)]. 5726 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(5725(a,1),5103(a,1,3)),flip(a)]. 5727 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(5726(a,1),4316(a,1,2))]. 5728 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(5698(a,1),5723(a,1,2))]. 5729 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(3260,a,5728,a)]. 5730 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(3990,a,5729,a)]. 5731 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(4327(a,1),5727(a,1,2)),flip(a)]. 5732 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(268,a,3,a(flip),b,5731,a),flip(a)]. 5734 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(5732(a,1),3007(a,1,2,1)),flip(a)]. 5735 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(268,a,3061,a(flip),b,5734,a),flip(a)]. 5736 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(5735(a,1),2553(a,2,2))]. 5737 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(2588,a,5736,a),flip(a)]. 5738 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(5737(a,1),5730(a,1,2,1))]. 5739 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(2650,a,5738,a)]. 5740 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(5350(a,1),5351(a,2,2,1,1))]. 5741 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(268,a,1334,a(flip),b,5740,a),flip(a)]. 5742 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1664(a,1),5741(a,2,2))]. 5743 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(813(a,1),5742(a,2,2,1))]. 5744 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(902(a,1),5743(a,2,2,1,2))]. 5745 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1334(a,1),5744(a,1,1))]. 5746 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(5591(a,2),5745(a,1,1,2))]. 5747 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(5(a,1),5746(a,1,1,2,1)),flip(a)]. 5748 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(5747(a,1),5633(a,1,1))]. 5749 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(4(a,1),5748(a,1,2))]. 5750 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(2491,a,5749,a),flip(a)]. 5752 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(5750(a,2),4381(a,1,1))]. 5753 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(5750(a,2),5709(a,1,1))]. 5754 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,5646,a,b,5752,a)]. 5755 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,5648,a(flip),b,5754,a)]. 5757 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(5330,a,5753,a)]. 5758 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(5755(a,1),5757(a,1,2))]. 5759 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(4185,a,5758,a)]. 5760 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(268,a,5587,a(flip),b,5759,a),flip(a)]. 5761 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(58,a,5739,a(flip),b,5760,a),flip(a)]. 5762 a(x,K(y,z),K(u,w)) = 1. [hyper(5332,a,5761,a),flip(a)]. 5763 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(5761(a,1),5487(a,1,1,2))]. 5764 L(K(x,y),K(z,u),w) = K(x,y). [hyper(47,a,5762,a)]. 5768 L(L(K(x,y),z,u),K(w,v5),v6) = L(K(x,y),z,u). [para(5764(a,1),25(a,1,1)),flip(a)]. 5772 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(5764(a,1),421(a,1,2))]. 5776 (x * K(y,z)) * (K(z,y) * L(K(u,w),v5,v6)) = x * L(K(u,w),v5,v6). [para(5768(a,1),3052(a,1,2)),flip(a)]. 5778 x * (K(x * K(y,z),u) * K(y,z)) = T(x * K(y,z),u). [hyper(2570,a,5772,a),flip(a)]. 5781 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(4323,a,5763,a),flip(a)]. 5782 a(K(x,y),z,u) = a(x,y,K(u,z)). [hyper(58,a,28,a,b,5781,a)]. 5783 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(58,a,5761,a(flip),b,5781,a),flip(a)]. 5784 a(x,x \ 1,K(y,z)) = 1. [hyper(58,a,2347,a(flip),b,5781,a),flip(a)]. 5785 (K(x,y) * (z * u)) * a(x,z,K(u,y)) != w | (K(x,y) * z) * u = w. [para(5781(a,1),239(a,1,2))]. 5786 L(K(x,y),z \ 1,z) = K(x,y). [hyper(47,a,5784,a)]. 5788 K((x \ 1) \ y,z) = K(x * y,z). [hyper(58,a,5070,a(flip),b,5786,a),flip(a)]. 5791 a(x,y,K(z,u)) = a(z,x,K(u,y)). [hyper(58,a,5761,a(flip),b,5782,a)]. 5792 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(4312,a,5783,a)]. 5793 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(268,a,5345,a(flip),b,5783,a),flip(a)]. 5794 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [para(5783(a,2),5335(a,1,1))]. 5799 ((x * y) * K(z,u)) / a(z,y,K(u,T(x,y))) = y * (T(x,y) * K(z,u)). [para(5791(a,1),573(a,1,2))]. 5800 a(x \ 1,y,K(z,u)) = a(x,y,K(u,z)). [hyper(268,a,5783,a(flip),b,5793,a),flip(a)]. 5801 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(5792(a,1),5075(a,1))]. 5803 a(x \ 1,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(5800(a,2),5801(a,1))]. 5805 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(5783(a,1),5803(a,1))]. 5806 (T(x,L(K(y,z),u,w)) * K(v5,v6)) * (K(v6,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(268,a,2715,a(flip),b,5776,a),flip(a)]. 5807 a(x,y,K(z,T(u,y))) \ ((u * y) * K(x,z)) = y * (T(u,y) * K(x,z)). [hyper(5320,a,5799,a)]. 5809 a(x,y,K(z,u)) \ ((u * y) * K(x,z)) = y * (T(u,y) * K(x,z)). [para(3546(a,1),5807(a,1,1,3))]. 5811 ((x * y) * K(z,u)) * a(x,y,K(u,z)) = y * (T(x,y) * K(z,u)). [hyper(58,a,5794,a(flip),b,5809,a)]. 5812 (T(x,K(y,z)) * K(u,w)) * (K(w,u) * L(K(v5,v6),v7,v8)) = x * ((x * L(K(v5,v6),v7,v8)) / x). [para(544(a,1),5806(a,1,1,1))]. 5814 (K(x,y) * z) * (K(y,x) * L(K(u,w),v5,v6)) = z * ((z * L(K(u,w),v5,v6)) / z). [para(403(a,1),5812(a,1,1))]. 5815 (K(x,y) * z) * (K(y,x) * L(K(u,w),v5,v6)) = z * L(K(u,T(w,v7)),v5,v6). [para(3744(a,2),5814(a,2,2))]. 5816 (K(x,y) * z) * (K(y,x) * L(K(u,w),v5,v6)) = L(K(u,w),v5,v6) * z. [hyper(268,a,3566,a(flip),b,5815,a),flip(a)]. 5818 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(5792(a,1),5816(a,1,2))]. 5819 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [hyper(5785,a,5818,a),flip(a)]. 5820 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(30,a,94,a,b,5819,a)]. 5821 R(K(x,y),z,T(u,w)) = L(K(x,y),z,u). [hyper(268,a,3359,a(flip),b,5820,a),flip(a)]. 5822 ((K(x,y) * z) * T(u,w)) / (z * T(u,w)) = L(K(x,y),z,u). [hyper(659,a,5821,a)]. 5824 (K(x,y) * z) * T(u,z) = u * (K(x,y) * z). [hyper(32,a,734,a,b,5822,a),flip(a)]. 5826 T(T(x,K(y,z)),u) = T(x,K(w,v5) * u). [hyper(29,a,380,a(flip),b,5824,a),flip(a)]. 5828 T(x,K(y,z) * u) = T(x,K(w,v5) * u). [hyper(58,a,5826,a(flip),b,5826,a)]. 5837 T(x,L(K(y,z),u,w) \ v5) = T(x,K(v6,v7) * v5). [para(3042(a,1),5828(a,1,2))]. 5842 T(x,L(K(y,z),u,w) \ v5) = T(x,K(v6,v7) \ v5). [para(3004(a,2),5837(a,2,2))]. 5843 K(L(K(x,y),z,u) \ w,v5) = v5 / T(v5,K(v6,v7) \ w). [para(5842(a,1),2462(a,2,2))]. 5844 K(L(K(x,y),z,u) \ w,v5) = K(K(v6,v7) \ w,v5). [hyper(268,a,2462,a,b,5843,a),flip(a)]. 5846 K(K(x,y) \ z,u) = K(K(w,v5) \ z,u). [hyper(58,a,5844,a(flip),b,5844,a)]. 5848 K(K(x,y) \ z,u) = K(z * K(w,v5),u). [hyper(3728,a,5846,a),flip(a)]. 5852 K(x * K(y,z),u) = K(x,u). [hyper(4544,a,5848,a),flip(a)]. 5863 x * (K(x,y) * K(z,u)) = T(x * K(z,u),y). [para(5852(a,1),5778(a,1,2,1))]. 5864 T(x * K(y,z),u) = T(x,u) * K(y,z). [hyper(2716,a,5863,a),flip(a)]. 5874 ((x * y) * K(z,u)) * a(x,y,K(u,z)) = y * T(x * K(z,u),y). [para(5864(a,2),5811(a,2,2))]. 5875 ((x * y) * K(z,u)) * a(x,y,K(u,z)) = (x * K(z,u)) * y. [hyper(268,a,97,a(flip),b,5874,a),flip(a)]. 5876 (x * K(y,z)) * u = x * (u * K(y,z)). [hyper(4322,a,5875,a),flip(a)]. 5879 L(x,K(y,z),u) = x. [hyper(624,a,5876,a)]. 5880 (x * K(y,z)) * u = x * (K(y,z) * u). [hyper(268,a,282,a,b,5876,a),flip(a)]. 5881 a(x,K(y,z),u) = 1. [hyper(103,a,5876,a(flip),b,570,a),flip(a)]. 5886 (x * K(y,z)) \ u = K(z,y) * (x \ u). [hyper(3038,a,5879,a)]. 5894 L(x,K(y,z),u) != w | x = w. [para(5879(a,1),45(a,2))]. 5900 x * (T(K(y,z),x) * u) = (K(y,z) * x) * u. [para(5879(a,1),5160(a,1,2)),flip(a)]. 5901 a(x,T(K(y,z),u),w) = 1. [para(126(a,2),5881(a,1,2))]. 5904 (K(x,K(y,z)) * u) * w = ((T(K(v5,v6),v7) * u) * (T(K(v6,v5),v8) * w)) * 1. [para(5901(a,1),4087(a,2,2))]. 5911 ((x * y) * (K(z,u) * w)) / ((y * K(z,u)) * w) = R(R(x,y,K(z,u)),y * K(z,u),w). [para(5880(a,1),439(a,1,1))]. 5914 (x * T(y,z)) * (K(z,y) * u) = (x * y) * u. [para(3775(a,1),5880(a,1,1)),flip(a)]. 5916 R(T(L(K(x,y),z,x),u),w,w \ u) = u \ (w * (K(x,T(y,v5)) * (w \ u))). [para(5880(a,1),3773(a,2,2))]. 5918 L(T(x \ y,z) \ u,T(x \ y,z),x) = K(z,x \ y) * (y \ (x * u)). [hyper(58,a,3760,a,b,5886,a)]. 5920 K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u. [para(3777(a,1),5886(a,1,1)),flip(a)]. 5922 (x * T(y,z)) * ((u * T(y,z)) \ w) = (x * y) * ((u * y) \ w). [para(5920(a,1),5914(a,1,2))]. 5923 (K(x,y) * (z * x)) * ((u * T(z,x)) \ w) = (T(x,y) * z) * ((u * z) \ w). [para(2657(a,2),5922(a,1,1))]. 5924 K(x,K(y,z)) * (u * w) = (T(K(v5,v6),v7) * u) * (T(K(v6,v5),v8) * w). [hyper(921,a,5904,a)]. 5926 (K(x,y) * z) \ (z * u) = T(K(y,x),w) * u. [hyper(2976,a,5924,a)]. 5927 T(K(x,y),z) * (u \ w) = (K(y,x) * u) \ w. [para(5(a,1),5926(a,1,2)),flip(a)]. 5928 (x * y) \ ((T(x,z) * y) * u) = T(K(x,z),w) * u. [para(3012(a,1),5926(a,1,1))]. 5929 x \ ((y * T(y \ x,z)) * u) = T(K(x / y,z),w) * u. [para(3010(a,1),5926(a,1,1))]. 5930 (K(x,y) * z) * (u \ w) = z * ((K(y,x) * u) \ w). [para(5927(a,1),5900(a,1,2)),flip(a)]. 5931 T(K(x,y),z) * (u \ w) = ((x * u) \ w) * T(((x * u) \ w) \ (u \ w),y). [hyper(58,a,1865,a,b,5928,a),flip(a)]. 5932 R(K(x,y),z,z \ u) * u = z * ((K(y,x) * z) \ u). [hyper(485,a,5930,a)]. 5933 T(K(x / y,z),u) * w = (x \ (y * w)) * T((x \ (y * w)) \ w,z). [hyper(58,a,1181,a,b,5929,a),flip(a)]. 5934 T(K(x / y,z),u) = K(w / (x \ (y * w)),z). [hyper(30,a,2676,a,b,5933,a),flip(a)]. 5935 K(x / (y \ (z * x)),u) = K(z \ y,u). [hyper(3698,a,5934,a),flip(a)]. 5936 K((x \ (y * z)) \ z,u) = K(y \ x,T(u,w)). [hyper(3704,a,5935,a)]. 5937 K(x \ ((x * y) / z),u) = K(y / z,u). [para(76(a,1),5935(a,1,1,2)),flip(a)]. 5938 K((x \ y) / z,u) = K(x \ (y / z),u). [para(249(a,1),5935(a,1,1,2))]. 5939 K(x \ ((x * y) / (z * y)),u) = K(z \ 1,u). [hyper(268,a,2819,a(flip),b,5937,a),flip(a)]. 5941 K((x \ y) \ L(z \ 1,z,y),u) = K((y * z) \ x,T(u,w)). [para(344(a,1),5936(a,1,1,1,2))]. 5942 R(T(L(K(x,y),z,x),u),w,w \ u) = K((w * (x \ (w \ u))) \ u,T(y,v5)). [hyper(268,a,4270,a,b,5916,a),flip(a)]. 5944 (K(x,y) * (z * x)) * ((z * x) \ u) = (T(x,y) * z) * ((x * z) \ u). [para(97(a,1),5923(a,1,2,1))]. 5945 (T(x,T(y,z)) * u) * ((x * u) \ w) = (u * T(x,y)) * ((u * x) \ w). [para(3785(a,1),5944(a,1,1)),flip(a)]. 5947 T(x \ (y * (K(z,u) * (y \ x))),w) = x \ (y * (((z * y) \ x) * T(((z * y) \ x) \ (y \ x),u))). [para(5931(a,1),1259(a,2,2,2))]. 5949 ((x * y) * (K(z,u) * w)) / (y * (K(z,u) * w)) = R(R(x,y,K(z,u)),y * K(z,u),w). [para(5880(a,1),5911(a,1,2))]. 5950 R(R(x,y,K(z,u)),y * K(z,u),w) = R(x,y,K(z,u) * w). [hyper(447,a,5949,a),flip(a)]. 5951 R(x,y * K(z,y),u) = R(x,y,K(z,y) * u). [para(3508(a,1),5950(a,1,1))]. 5952 K(R(x,y,K(x,y) * z),u) = K(R(x,y,z),u). [para(5951(a,1),4131(a,1,1))]. 5953 K(R(x,y,(z * T(y,x)) \ u),w) = K(R(x,y,(z * y) \ u),w). [para(5920(a,1),5952(a,1,1,3))]. 5954 K(R(x,y,(T(x,y) * y) \ z),u) = K(R(x,y,(x * y) \ z),u). [para(2624(a,1),5953(a,1,1,3,1)),flip(a)]. 5955 K(R(x,y,(x * ((x * y) / x)) \ z),u) = K(R(x,y,(x * y) \ z),u). [para(2715(a,1),5954(a,1,1,3,1))]. 5956 K(R(x,y,(x * y) \ z),T(u,w)) * z = (T(T(x,y),u) * y) * ((T(x,y) * y) \ z). [para(5955(a,1),4988(a,1,1))]. 5957 (T(T(x,y),z) * y) * ((T(x,y) * y) \ u) = (T(x,T(z,w)) * y) * ((x * y) \ u). [hyper(58,a,2945,a(flip),b,5956,a),flip(a)]. 5958 (T(T(x,y),z) * y) * ((T(x,y) * y) \ u) = (y * T(x,z)) * ((y * x) \ u). [hyper(268,a,5945,a(flip),b,5957,a),flip(a)]. 5959 T(K(R(x,y,(x * y) \ z),u),w) = T(z \ (y * (K(x,u) * (y \ z))),v5). [hyper(268,a,4262,a,b,5947,a)]. 5960 T(K(R(x,y,(x * y) \ z),u),w) = T(K((y * (x \ (y \ z))) \ z,u),v5). [para(4270(a,2),5959(a,2,1))]. 5961 T(K((x * (y \ (x \ z))) \ z,u),w) = K((x * ((y * x) \ z)) \ z,u). [hyper(3845,a,5960,a),flip(a)]. 5962 K((x * (y \ (x \ z))) \ z,T(u,w)) = K((x * ((y * x) \ z)) \ z,u). [hyper(3561,a,5961,a)]. 5963 R(T(L(K(x,y),z,x),u),w,w \ u) = K((w * ((x * w) \ u)) \ u,y). [hyper(58,a,5942,a,b,5962,a)]. 5964 R(L(T(K(x,y),z),u,x),w,w \ z) = K((w * ((x * w) \ z)) \ z,y). [para(20(a,2),5963(a,1,1))]. 5966 L(R(T(K(x,y),z),u,u \ z),w,x) = K((u * ((x * u) \ z)) \ z,y). [hyper(58,a,24,a(flip),b,5964,a)]. 5969 L(R(K(x,T(y,z)),u,u \ w),v5,x) = K((u * ((x * u) \ w)) \ w,y). [para(3552(a,1),5966(a,1,1,1))]. 5970 R(K(x,T(y,z)),u,u \ w) = K((u * ((x * u) \ w)) \ w,y). [hyper(5894,a,5969,a)]. 5971 (T(x,y) * z) * ((x * z) \ u) = u * R(K(x,T(y,w)),z,z \ u). [para(5970(a,2),3754(a,2,2))]. 5972 R(K(x,y),z,z \ u) * u = (T(x,y) * z) * ((x * z) \ u). [hyper(268,a,3567,a(flip),b,5971,a)]. 5973 (T(x,y) * z) * ((x * z) \ u) = z * ((K(y,x) * z) \ u). [hyper(58,a,5932,a(flip),b,5972,a),flip(a)]. 5974 (x * T(y,z)) * ((x * y) \ u) = x * ((K(z,T(y,x)) * x) \ u). [hyper(58,a,5958,a(flip),b,5973,a)]. 5976 (x * T(y,z)) * ((x * y) \ u) = x * ((x * K(z,y)) \ u). [para(3559(a,1),5974(a,2,2,1))]. 5977 (x * T(y,z)) * ((x * y) \ u) = x * (K(y,z) * (x \ u)). [para(5886(a,1),5976(a,2,2))]. 5978 (x * T(y,z)) \ (x * (K(y,z) * (x \ u))) = (x * y) \ u. [hyper(108,a,5977,a)]. 5979 L(x \ (y \ z),T(x,u),y) = (y * x) \ z. [hyper(2668,a,5978,a)]. 5980 L(x \ (y \ (y * (x * z))),T(x,u),y) = L(z,x,y). [hyper(268,a,13,a,b,5979,a),flip(a)]. 5981 L(x \ (x * y),T(x,z),u) = L(y,x,u). [para(4(a,1),5980(a,1,1,2))]. 5982 L(x,T(y,z),u) = L(x,y,u). [para(4(a,1),5981(a,1,1))]. 5985 L(T(x \ y,z) \ u,x \ y,x) = K(z,x \ y) * (y \ (x * u)). [hyper(58,a,5918,a(flip),b,5982,a),flip(a)]. 5995 T(x \ y,z) * (K(z,x \ y) * (y \ (x * T(u,z)))) = T((x \ y) * (y \ (x * u)),z). [para(5985(a,1),1682(a,1,2))]. 5996 T((x \ y) * (y \ (x * z)),u) = (x \ y) * (y \ (x * T(z,u))). [hyper(3090,a,5995,a),flip(a)]. 5998 T((x \ y) * (y \ (x * (x \ (y * z)))),u) = (x \ y) * ((y \ x) * T((y \ x) \ z,u)). [para(1013(a,1),5996(a,2,2))]. 5999 (x \ y) * ((y \ x) * T((y \ x) \ z,u)) = T((x \ y) * z,u). [para(66(a,1),5998(a,1,1,2)),flip(a)]. 6000 (x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u). [hyper(108,a,5999,a)]. 6002 x \ ((y \ z) * T((y \ z) \ x,u)) = K(((z \ y) \ 1) \ x,u). [hyper(104,a,6000,a(flip),b,3755,a(flip))]. 6003 K(((x \ y) \ 1) \ z,u) = K((y \ x) \ z,u). [hyper(3759,a,6002,a),flip(a)]. 6004 K((x \ y) \ z,u) = K((y \ x) * z,u). [hyper(58,a,5788,a(flip),b,6003,a),flip(a)]. 6005 K((x * y) \ z,T(u,w)) = K((x \ z) * L(y \ 1,y,x),u). [hyper(58,a,5941,a(flip),b,6004,a)]. 6008 K((x \ y) \ z,u) != w | K(z * (y \ x),u) = w. [para(6004(a,2),5186(a,1))]. 6009 K(x / (y \ z),u) = K(x * (z \ y),u). [hyper(6008,a,3675,a(flip)),flip(a)]. 6011 K(x * (T(y * z,K(u,w)) \ T(y,K(v5,v6))),v7) = K(x / z,v7). [para(2655(a,1),6009(a,1,1,2)),flip(a)]. 6012 K(x * L(y \ 1,y,z),u) = K(x / y,u). [para(2764(a,2),6011(a,1,1,2))]. 6013 K((x * y) \ z,T(u,w)) = K((x \ z) / y,u). [hyper(58,a,6005,a,b,6012,a)]. 6015 K((x * y) \ z,T(u,w)) = K(x \ (z / y),u). [hyper(268,a,5938,a(flip),b,6013,a),flip(a)]. 6016 K(L(x / y,y,z),u) = K(z \ ((z * x) / y),u). [hyper(58,a,3881,a,b,6015,a)]. 6017 K(L(x / (y * x),y * x,z),u) = K(y \ 1,u). [hyper(268,a,5939,a(flip),b,6016,a),flip(a)]. 6018 K(L(x,y,z) \ 1,u) = K(x \ 1,u). [hyper(58,a,4238,a(flip),b,6017,a)]. 6019 L(K(x \ 1,y),z,u) = K(x \ 1,y). [hyper(3306,a,6018,a)]. 6024 a(x,y,K(z \ 1,u)) = 1. [hyper(105,a,6019,a,b,4314,a),flip(a)]. 6029 a(x,y,K(z,u)) = 1. [hyper(5805,a,6024,a)]. 6031 a(K(x,y),z,u) = 1. [hyper(58,a,5782,a,b,6029,a)]. 6032 $F # answer("aK1"). [resolve(6031,a,59,a)]. ============================== end of proof ==========================