============================== prooftrans ============================ Prover9 (64) version 2021-dec-16 (stable), March 2022. Process 13365 was started by veroff on b146-08, Wed Jun 15 15:06:58 2022 The command was "prover9 -f osb_Kcom_to_aa1.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 108.63 (+ 6.18) seconds.. % Length of proof: 3209 (0 new hints) % Level of proof: 232 % Maximum clause weight: 1014.000 (53 w/o degradation) % Given clauses in run: 3588 % Given clauses in proof: 3197 (0 new hints) 1 a(a(x,y,z),u,w) = 1 # label("aa1") # 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 a(K(x,y),z,u) = 1 # label("aK1"). [assumption]. 28 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. 29 K(x,y) = K(y,x) # label("Kcom"). [assumption]. 30 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 31 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 32 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 33 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 34 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 35 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 36 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 37 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 39 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 40 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 41 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 42 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 43 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 44 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 45 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 46 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 47 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 48 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 49 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 50 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 51 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 52 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 53 x != y | x * z = y * z # label("Aux 1"). [assumption]. 54 x != y | z * x = z * y # label("Aux 2"). [assumption]. 57 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 59 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 60 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. 61 1 \ x = x. [para(2(a,1),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))]. 67 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 69 x / 1 = x. [para(3(a,1),6(a,1,1))]. 70 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(7(a,2),3(a,1,2))]. 73 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 74 (((x * y) / z) * z) / y = x. [para(7(a,2),6(a,1,1))]. 75 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. 76 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 77 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(7(a,1),9(a,2,1,2)),flip(a)]. 78 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 79 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 80 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. 81 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 82 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 83 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 84 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. 85 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 86 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 87 T(x,x) = x. [para(17(a,2),4(a,1))]. 88 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 89 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 90 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 91 x \ (T(y,z) * x) = T(T(y,x),z). [para(18(a,1),17(a,1)),flip(a)]. 92 x \ (R(y,z,u) * x) = R(T(y,x),z,u). [para(22(a,2),17(a,1)),flip(a)]. 93 x * ((((1 / x) * y) * z) * x) = y * (z * x). [para(4(a,1),28(a,1,1)),flip(a)]. 95 x != y | 1 * z != y | x = z. [para(2(a,1),30(a,1))]. 97 x != y | z * u != y | z \ x = u. [para(5(a,1),30(a,1))]. 98 x != y | z * u != y | x / u = z. [para(7(a,1),31(a,1))]. 99 x != y | z \ u != y | z * x = u. [para(4(a,1),34(a,1))]. 100 1 * x != y | x = y. [para(2(a,1),39(a,2))]. 101 x * y != z | x \ z = y. [para(5(a,1),39(a,1)),flip(a)]. 103 x * 1 != y | y = x. [para(3(a,1),40(a,1)),flip(a)]. 104 x * 1 != y | x = y. [para(3(a,1),40(a,2))]. 105 x * y != z | z / y = x. [para(7(a,1),40(a,1)),flip(a)]. 106 x / y != z | z * y = x. [para(6(a,1),42(a,1)),flip(a)]. 108 x \ y != z | x * z = y. [para(4(a,1),43(a,1)),flip(a)]. 109 T(x,y) != y \ z | x * y = z. [para(17(a,2),43(a,1))]. 110 x \ (y * z) != z | y = x. [para(4(a,1),44(a,1)),flip(a)]. 111 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),45(a,1))]. 113 L(x,y,K(z,u)) = x. [hyper(48,a,27,a)]. 114 ((x / y) * y) * z = x * z. [hyper(53,a,7,a)]. 115 (x * (x \ y)) * z = y * z. [hyper(53,a,5,a)]. 116 x * (y * (y \ z)) = x * z. [hyper(54,a,5,a)]. 117 x * (y \ (y * z)) = x * z. [hyper(54,a,4,a)]. 119 (x * y) / y = (x / z) * z. [hyper(59,a,7,a,b,6,a(flip)),flip(a)]. 120 x \ (x * y) = z * (z \ y). [hyper(59,a,5,a,b,4,a(flip)),flip(a)]. 121 x * (x \ y) = y * 1. [hyper(59,a,5,a,b,3,a(flip))]. 122 x * (x \ y) = 1 * y. [hyper(59,a,5,a,b,2,a(flip))]. 124 1 \ x != y | x = y. [para(61(a,1),43(a,2))]. 125 K(x,x) = 1. [hyper(59,a,11,a,b,62,a)]. 126 x * (y \ y) = x. [para(62(a,2),3(a,1,2))]. 127 x * (((1 / x) * y) * x) = 1 * (y * x). [para(62(a,1),28(a,1,1)),flip(a)]. 128 x / ((1 / y) * y) = x. [para(7(a,2),69(a,1,2))]. 129 T(x,L(x,y,z)) = x. [hyper(37,a,20,a,b,87,a(flip))]. 130 T(x,T(x,y)) = x. [hyper(36,a,18,a,b,87,a(flip))]. 131 T(L(x,y,z),x) = L(x,y,z). [para(87(a,1),20(a,1,1)),flip(a)]. 132 T(R(x,y,z),x) = R(x,y,z). [para(87(a,1),22(a,1,1)),flip(a)]. 133 (x / (y \ x)) * z = y * z. [hyper(53,a,70,a)]. 134 (x * (y * z)) / L(z,y,x) = x * y. [para(13(a,2),70(a,1,2))]. 135 (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). [para(70(a,1),28(a,1,1,1)),flip(a)]. 136 x / y != z | z \ x = y. [para(70(a,1),41(a,1)),flip(a)]. 138 ((x / y) \ x) * z = y * z. [hyper(53,a,73,a)]. 139 x \ y != z | y / z = x. [para(73(a,1),44(a,1)),flip(a)]. 140 x * (y \ y) != z | x = z. [para(126(a,1),40(a,2))]. 142 x * (y * (y \ 1)) != z | x = z. [para(5(a,2),104(a,1,2))]. 143 L(x,y,K(z,u)) != w | x = w. [para(113(a,1),46(a,2))]. 144 T(x,L(L(x,y,z),u,w)) = x. [hyper(37,a,20,a,b,129,a(flip))]. 145 L(x \ 1,x,y) = (y * x) \ y. [para(65(a,1),13(a,2,2))]. 146 R(1 / x,x,y) = y / (x * y). [para(71(a,1),15(a,2,1))]. 147 T((x * y) / x,x) = y. [hyper(30,a,7,a(flip),b,88,a),flip(a)]. 148 (x * T(y,x)) / x = y. [hyper(31,a,7,a,b,88,a(flip))]. 149 x \ (y * T(x,y)) = y. [hyper(30,a,5,a,b,88,a(flip))]. 150 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(88(a,1),13(a,2,1)),flip(a)]. 151 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(88(a,1),13(a,2,2,2)),flip(a)]. 153 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),88(a,1,2))]. 154 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),88(a,1,2))]. 155 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),88(a,1,2))]. 156 x * y != z | y * u != z | T(x,y) = u. [para(88(a,1),30(a,1))]. 157 x * y != z * x | T(z,x) = y. [para(88(a,1),39(a,1)),flip(a)]. 158 L(x,y,z) * x = x * L(x,y,z). [para(129(a,1),88(a,1,2))]. 159 (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). [para(15(a,2),90(a,1,1)),flip(a)]. 160 T(T(x / y,z),y) = T(y \ x,z). [para(90(a,1),18(a,1,1)),flip(a)]. 161 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(90(a,1),20(a,1,1)),flip(a)]. 162 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(90(a,1),22(a,1,1)),flip(a)]. 163 T(x,y) != y \ z | z / y = x. [para(90(a,1),45(a,1)),flip(a)]. 164 x * (x \ y) != z | y = z. [para(121(a,2),104(a,1))]. 165 1 * x != y * z | y \ x = z. [para(122(a,1),39(a,1))]. 166 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(59,a,15,a,b,128,a),flip(a)]. 168 T(T((x * y) / x,z),x) = T(y,z). [para(147(a,1),18(a,1,1)),flip(a)]. 169 T(x,y) != z | (y * z) / y = x. [para(147(a,1),45(a,1)),flip(a)]. 170 (x * T(y,x)) / z != y | x = z. [para(148(a,1),41(a,1)),flip(a)]. 175 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),164(a,1,2))]. 178 L(x \ (y \ z),x,y) = (y * x) \ z. [para(67(a,1),13(a,2,2))]. 179 (R(x,y,z) * (y * z)) / z = x * y. [para(15(a,2),74(a,1,1,1))]. 180 R((x / y) / z,z,y) = x / (z * y). [para(75(a,1),15(a,2,1))]. 181 K(x \ 1,x) = (x \ 1) * x. [hyper(59,a,64,a(flip),b,78,a)]. 183 L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u. [hyper(59,a,20,a,b,89,a)]. 184 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(57,a,89,a)]. 185 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(53,a,89,a)]. 186 x / T(y,y \ x) = y \ x. [hyper(139,a,89,a(flip))]. 187 T(x / y,(x / y) \ x) = y \ x. [para(73(a,1),89(a,2,1))]. 188 T(x,1) = x. [hyper(95,a,148,a(flip),b,69,a(flip)),flip(a)]. 189 x != y | z != y | x = z. [para(2(a,1),95(b,1))]. 191 T(1,x) = 1. [hyper(50,a,188,a)]. 192 T(x,1) != y | x = y. [para(188(a,1),45(a,2))]. 193 K(1,x) = 1. [hyper(51,a,191,a)]. 194 (x * y) / y != z * u | x / u = z. [para(119(a,2),40(a,1))]. 195 x / y != (z / u) * u | z * y = x. [para(119(a,1),42(a,1)),flip(a)]. 196 x \ (x * y) != z * u | z \ y = u. [para(120(a,2),39(a,1))]. 197 x \ y != z * (z \ u) | x * u = y. [para(120(a,1),43(a,1)),flip(a)]. 198 x \ (x * y) != z | y = z. [para(120(a,2),140(a,1))]. 199 x * (y * (y \ z)) != u | x * z = u. [para(120(a,1),164(a,1,2))]. 200 x \ (y * x) != z | T(y,x) = z. [para(88(a,1),198(a,1,2))]. 201 x \ (y * 1) != z | x \ y = z. [para(121(a,1),198(a,1,2))]. 202 K(x \ 1,x) / x = x \ 1. [hyper(105,a,181,a(flip))]. 204 (K(x,y) * z) \ K(x,y) = z \ 1. [hyper(143,a,145,a),flip(a)]. 205 L((x \ y) \ 1,x \ y,x) = y \ x. [para(5(a,1),145(a,2,1))]. 206 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),145(a,2,1))]. 207 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(145(a,1),24(a,1,1))]. 208 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(146(a,1),26(a,1,1)),flip(a)]. 210 1 * (x * y) != y * z | T(x,y) = z. [para(2(a,2),157(a,2)),flip(a)]. 211 K(x,y) * z != x * y | T(y * x,K(x,y)) = z. [para(78(a,1),157(a,2))]. 213 x * (x \ y) != z * u | z \ y = u. [para(122(a,2),165(a,1))]. 214 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(88(a,1),200(a,1,2))]. 216 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(4(a,1),79(a,2,1)),flip(a)]. 217 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(88(a,2),79(a,1,2))]. 218 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(91(a,1),200(a,1))]. 219 x != y | z * u != y | T(z,u) = u \ x. [para(88(a,1),97(b,1)),flip(c)]. 220 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(99,a,25,a,b,13,a(flip))]. 221 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(99,a,24,a,b,13,a(flip))]. 222 (K(x,y) * z) * u = K(x,y) * (z * u). [hyper(99,a,113,a(flip),b,13,a(flip))]. 224 T(x / y,z) * y = y * T(y \ x,z). [para(90(a,1),153(a,1,2,1)),flip(a)]. 225 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(160(a,1),45(a,1))]. 226 (x * T(y,z)) / x = T((x * y) / x,z). [hyper(169,a,168,a)]. 228 (x * y) / L(z \ y,z,x) = x * z. [hyper(98,a,116,a(flip),b,81,a)]. 229 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(59,a,115,a(flip),b,81,a)]. 230 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(59,a,64,a(flip),b,81,a),flip(a)]. 231 x \ (y * L(z,x \ y,x)) = (x \ y) * z. [hyper(97,a,115,a(flip),b,81,a(flip))]. 232 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(97,a,64,a(flip),b,81,a(flip))]. 233 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(81(a,1),13(a,2,2,2)),flip(a)]. 234 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(81(a,1),39(a,1)),flip(a)]. 235 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(81(a,1),198(a,1,2))]. 237 (K(x,y) * z) \ (K(x,y) * u) = z \ u. [hyper(143,a,83,a),flip(a)]. 238 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(5(a,1),83(a,2,1))]. 239 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(7(a,1),83(a,2,1))]. 240 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(88(a,1),83(a,2,1))]. 241 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(81(a,1),83(a,2,1))]. 242 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(142,a,85,a),flip(a)]. 243 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(97,a,115,a(flip),b,85,a)]. 246 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),85(a,1,2))]. 247 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(85(a,1),15(a,2,1,1)),flip(a)]. 248 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(22(a,1),85(a,1,1))]. 249 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),85(a,1,1))]. 250 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),85(a,1,1))]. 253 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(85(a,1),142(a,1))]. 255 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(85(a,1),85(a,1,2))]. 256 R(x / (1 / y),1 / y,y) = x * y. [hyper(189,a,128,a(flip),b,86,a),flip(a)]. 257 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),86(a,2,2))]. 258 T(R((x * y) / x,x,y),x * y) = y. [para(86(a,2),147(a,1,1))]. 259 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(85(a,1),86(a,2,1))]. 260 (x * y) / L(z,y / z,x) = x * (y / z). [para(7(a,1),134(a,1,1,2))]. 261 (K(x,y) * (z * u)) / u = K(x,y) * z. [para(113(a,1),134(a,1,2))]. 262 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(98,a,26,a,b,166,a)]. 266 (x / y) * y != z * u | x / u = z. [para(119(a,1),194(a,1))]. 267 x \ y != (z / u) * u | x * z = y. [para(73(a,1),197(a,2,2))]. 268 x * (y \ (y * z)) != u | x * z = u. [para(120(a,2),199(a,1,2))]. 269 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(206(a,1),20(a,2,1)),flip(a)]. 270 x * (y \ (y * (x \ z))) != u * w | u \ z = w. [para(4(a,2),213(a,1,2))]. 275 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(120(a,1),213(a,1,2))]. 277 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(199,a,230,a),flip(a)]. 278 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(97,a,24,a,b,230,a)]. 279 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(230(a,1),199(a,1))]. 280 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(232(a,1),43(a,1)),flip(a)]. 282 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(59,a,114,a(flip),b,242,a),flip(a)]. 284 R(T((x * y) / x,x * y),x,y) = y. [hyper(59,a,22,a,b,258,a)]. 287 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(119(a,1),266(a,1,1))]. 290 x \ y != ((z / u) * u) * w | x * (z * w) = y. [para(119(a,1),267(a,2,1))]. 291 x \ y != (z * u) / u | x * z = y. [para(119(a,2),267(a,2))]. 297 T(x,y) = ((1 / y) * x) * y. [hyper(210,a,127,a(flip))]. 298 T((1 / x) \ y,x) = y * x. [hyper(189,a,115,a(flip),b,297,a),flip(a)]. 299 T(x,y) / y = (1 / y) * x. [hyper(98,a,297,a,b,xx)]. 300 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(98,a,132,a(flip),b,297,a(flip)),flip(a)]. 301 (1 / x) * (y / x) = (x \ y) / x. [hyper(98,a,90,a(flip),b,297,a(flip)),flip(a)]. 302 ((1 / x) \ y) * x = x * (y * x). [hyper(99,a,298,a(flip),b,17,a(flip)),flip(a)]. 303 T(x,y) != z * y | (1 / y) \ z = x. [para(298(a,1),45(a,1)),flip(a)]. 304 T(x \ y,x \ 1) = y * (x \ 1). [para(70(a,1),298(a,1,1,1))]. 305 ((x \ 1) \ y) / (x \ 1) = x * (y / (x \ 1)). [hyper(59,a,133,a(flip),b,301,a),flip(a)]. 307 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(59,a,81,a(flip),b,154,a)]. 308 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(17(a,1),154(a,1,2,1))]. 309 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(90(a,1),154(a,1,2,1)),flip(a)]. 310 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(147(a,1),154(a,1,2,1)),flip(a)]. 311 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(89(a,1),154(a,1,2,1))]. 312 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(90(a,1),155(a,1,2,1)),flip(a)]. 314 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(156,a,81,a(flip),b,114,a(flip))]. 315 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(169,a,161,a)]. 316 T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w). [para(86(a,2),161(a,1,1,1))]. 317 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(86(a,1),162(a,1,1))]. 318 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(180(a,1),162(a,1,1)),flip(a)]. 319 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(282(a,1),162(a,1,1)),flip(a)]. 320 K(x \ (x * y),x) = K(y,x). [hyper(189,a,79,a(flip),b,216,a)]. 321 K(x \ (x * y),z) = K(y,z). [para(63(a,1),320(a,1,1)),flip(a)]. 323 K(x,y) * (1 / z) = K(x,y) / z. [hyper(98,a,72,a(flip),b,222,a),flip(a)]. 324 (x * y) / ((K(z,u) \ x) * y) = K(z,u). [hyper(98,a,115,a(flip),b,222,a(flip))]. 325 ((K(x,y) * z) * u) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [hyper(97,a,222,a(flip),b,81,a)]. 326 R(K(x,y),z,u) = K(x,y). [hyper(31,a,85,a,b,222,a(flip))]. 327 ((K(x,y) * (z * u)) * w) / (u * w) = R(K(x,y) * z,u,w). [para(222(a,1),15(a,2,1,1)),flip(a)]. 328 K(x,y) * z != (K(x,y) * u) * w | u * w = z. [para(222(a,2),39(a,1)),flip(a)]. 329 K(x,y) * (T(z,K(x,y)) * u) = (z * K(x,y)) * u. [para(88(a,1),222(a,1,1)),flip(a)]. 331 x \ y != (K(z,u) * (w * v5)) / v5 | x * (K(z,u) * w) = y. [para(222(a,1),291(a,2,1))]. 332 R(K(x,y),z,u) = R(K(x,y),w,v5). [hyper(189,a,326,a,b,326,a)]. 333 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,202,a(flip),b,323,a),flip(a)]. 335 (K(x,y) * z) / u = K(x,y) * (z / u). [para(7(a,1),261(a,1,1,2))]. 337 (K(x,y) \ z) * T(K(x,y),z) = z. [hyper(170,a,324,a),flip(a)]. 338 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(76(a,1),198(a,1,2))]. 340 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(82(a,1),124(a,1))]. 342 L(T(x,y),y,x) = T(x,x * y). [hyper(200,a,151,a),flip(a)]. 343 L(T(x,y),y,x) != z | T(x,x * y) = z. [para(151(a,1),200(a,1))]. 344 T(L(x,y,x),y) = T(x,x * y). [hyper(59,a,20,a(flip),b,342,a)]. 345 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(342(a,2),155(a,1,2,1))]. 346 (x * T(y,y * x)) / x = L(y,x,y). [hyper(169,a,344,a)]. 348 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(344(a,1),20(a,1,1)),flip(a)]. 352 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(238(a,1),20(a,2,1))]. 353 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(238(a,1),24(a,1,1)),flip(a)]. 355 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(24(a,1),246(a,1,1))]. 358 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(4(a,1),317(a,2,1)),flip(a)]. 360 T(x * (y \ 1),y) / (y \ 1) = (y \ x) * y. [hyper(98,a,319,a(flip),b,242,a)]. 361 ((x * y) * T(y,x)) / (x * y) = R(y,x,y). [hyper(189,a,226,a,b,358,a)]. 362 T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y). [para(358(a,2),160(a,1,1)),flip(a)]. 363 T(R(x,y,x),y * x) = T(x,y). [para(358(a,2),168(a,1,1))]. 364 R(T(x,y * x),y,x) = T(x,y). [hyper(59,a,22,a,b,363,a)]. 365 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(363(a,1),45(a,1)),flip(a)]. 366 R(T(x,(x \ y) * x),x \ y,x) = (x \ y) \ y. [hyper(189,a,89,a(flip),b,364,a),flip(a)]. 367 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(364(a,1),85(a,1,1)),flip(a)]. 368 (x * y) * T(y,x) = (y * x) * y. [hyper(33,a,15,a(flip),b,361,a),flip(a)]. 369 (x * (y / x)) * x = y * T(x,y / x). [hyper(59,a,114,a(flip),b,368,a),flip(a)]. 370 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(101,a,93,a),flip(a)]. 371 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. [hyper(98,a,93,a(flip),b,302,a),flip(a)]. 373 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(88(a,1),235(a,1,2,2))]. 374 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(81(a,1),235(a,1,2,2))]. 375 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) != v5 | L(w,K(y,z) * u,x) = v5. [para(222(a,1),235(a,1,2,2))]. 376 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(178(a,1),315(a,1,1,2)),flip(a)]. 377 (x \ (y * (z * x))) / x = ((1 / x) * y) * z. [hyper(105,a,370,a)]. 379 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [hyper(59,a,301,a,b,377,a)]. 380 (x * (y * (z \ 1))) / (z \ 1) = z \ (((1 / (z \ 1)) * x) * y). [hyper(97,a,377,a(flip),b,305,a(flip)),flip(a)]. 381 ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. [para(7(a,1),377(a,1,1,2,2)),flip(a)]. 382 ((1 / x) * y) * (1 / x) = (x \ y) / x. [para(72(a,1),377(a,1,1,2)),flip(a)]. 383 x / y != ((1 / y) * z) * (1 / y) | y \ z = x. [para(382(a,2),42(a,1)),flip(a)]. 384 ((1 / x) * y) \ ((x \ (y * z)) / x) = z / x. [hyper(101,a,381,a)]. 385 ((1 / x) * y) \ ((x \ z) / x) = (y \ z) / x. [para(5(a,1),384(a,1,2,1,2))]. 386 ((1 / x) * y) \ (z / x) = (y \ (x * z)) / x. [para(4(a,1),385(a,1,2,1))]. 387 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(369(a,1),77(a,1,2))]. 388 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(99,a,25,a,b,150,a)]. 389 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(99,a,207,a,b,150,a)]. 390 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(99,a,207,a,b,13,a(flip))]. 391 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(208(a,1),85(a,1,1))]. 392 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(99,a,269,a,b,84,a),flip(a)]. 393 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(70(a,1),287(a,1,1,1))]. 395 R(L(x,y,(y * x) / y),y,x) = x. [para(314(a,1),284(a,1,1))]. 396 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(17(a,2),376(a,2,1,2))]. 399 (1 / x) \ (((1 / x) * y) * z) != u | (y * (z * x)) / x = u. [para(379(a,1),198(a,1,2))]. 400 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(178(a,1),220(a,1,2,1))]. 401 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(342(a,1),220(a,1,2,1))]. 402 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(178(a,1),221(a,1,2,1))]. 403 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(86(a,1),249(a,1,1,1))]. 404 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(180(a,1),249(a,1,1,1)),flip(a)]. 405 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(86(a,1),250(a,1,1,1))]. 406 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(256(a,1),262(a,1,1,1)),flip(a)]. 407 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(277(a,1),278(a,1,2,1)),flip(a)]. 408 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(99,a,352,a(flip),b,82,a),flip(a)]. 410 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(101,a,392,a)]. 411 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(59,a,312,a(flip),b,406,a)]. 412 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(3(a,1),407(a,2,2,1))]. 414 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(59,a,217,a(flip),b,410,a)]. 415 (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). [para(222(a,1),327(a,1,1))]. 416 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(59,a,221,a(flip),b,345,a)]. 417 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(155(a,1),416(a,1,2)),flip(a)]. 418 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(275,a,417,a)]. 419 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(97,a,116,a(flip),b,417,a)]. 420 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(418(a,1),201(a,1))]. 421 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [para(353(a,1),231(a,1,2,2))]. 422 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(257(a,1),355(a,1,1,1)),flip(a)]. 423 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(189,a,226,a(flip),b,396,a),flip(a)]. 424 (1 / x) \ T(y,x) != z | (y * (x * x)) / x = z. [para(297(a,2),399(a,1,2))]. 425 K(x,y) * (((z * u) * w) / (u * w)) = R(K(x,y) * z,u,w). [hyper(59,a,335,a(flip),b,415,a)]. 426 R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w). [para(15(a,2),425(a,1,2)),flip(a)]. 427 (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). [para(70(a,1),380(a,2,2,1,1))]. 428 (x * K(y,z)) * u = x * (K(y,z) * u). [hyper(331,a,427,a(flip)),flip(a)]. 429 x \ ((x * y) * x) = y / (x \ 1). [para(65(a,1),427(a,1,1)),flip(a)]. 431 (x * (y * (x \ 1))) * x = x * y. [hyper(291,a,429,a),flip(a)]. 432 T(x * y,x) = y / (x \ 1). [hyper(200,a,429,a)]. 433 x * (y / (x \ 1)) = (x * y) * x. [hyper(108,a,429,a)]. 434 x / (y \ 1) != z | T(y * x,y) = z. [para(429(a,1),200(a,1))]. 435 ((1 / (x \ 1)) * y) * T(x * z,x) = ((x \ 1) \ (y * z)) / (x \ 1). [hyper(99,a,432,a,b,384,a)]. 436 T(x,y) = (y \ x) / (y \ 1). [para(5(a,1),432(a,1,1))]. 437 T(x,y) != z / (y \ 1) | y * z = x. [para(432(a,1),45(a,1)),flip(a)]. 438 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(59,a,130,a(flip),b,436,a),flip(a)]. 439 T(x,y) * (y \ 1) = y \ x. [hyper(106,a,436,a(flip))]. 440 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(129(a,1),439(a,1,1))]. 441 (x \ y) * (x \ 1) = x \ (y / x). [para(90(a,1),439(a,1,1))]. 442 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(131(a,1),439(a,1,1))]. 444 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [hyper(59,a,305,a,b,433,a)]. 445 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(136,a,438,a)]. 447 L(x,K(y,z),u) = x. [hyper(234,a,428,a)]. 448 K(x,y) * ((z * K(x,y)) \ u) = z \ u. [hyper(213,a,428,a),flip(a)]. 449 (x / (K(y,z) * u)) * K(y,z) = x / u. [hyper(98,a,7,a(flip),b,428,a),flip(a)]. 450 K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). [hyper(59,a,329,a,b,428,a)]. 451 (1 / x) \ K(y,z) = x * K(y,z). [hyper(31,a,302,a,b,428,a)]. 452 ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [hyper(97,a,428,a(flip),b,81,a)]. 453 (x * y) * (K(y,x) * z) = (y * x) * z. [para(78(a,1),428(a,1,1)),flip(a)]. 455 T(x,x * K(y,z)) = T(x,K(y,z)). [hyper(343,a,447,a)]. 456 L(x,K(y,z),u) = L(x,K(w,v5),v6). [hyper(189,a,447,a,b,447,a)]. 459 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(108,a,451,a)]. 460 (x \ 1) * K(y,z) = x \ K(y,z). [para(70(a,1),451(a,1,1)),flip(a)]. 461 T(x,x * K(y,z)) = T(x,K(z,y)). [para(29(a,1),455(a,1,2,2))]. 463 (x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u. [para(460(a,1),428(a,1,1)),flip(a)]. 464 T(x,K(y,z)) = T(x,K(z,y)). [hyper(59,a,455,a(flip),b,461,a)]. 465 K(x,y) \ (z * K(x,y)) = T(z,K(y,x)). [hyper(189,a,17,a(flip),b,464,a)]. 466 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(99,a,464,a,b,17,a(flip))]. 467 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [hyper(59,a,311,a,b,442,a)]. 469 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [para(333(a,1),449(a,1,1,2))]. 470 T(x,y) = K(x,y) * x. [hyper(30,a,368,a,b,453,a)]. 471 K(x,y) * (K(y,x) * z) = z. [hyper(30,a,453,a(flip),b,453,a),flip(a)]. 472 K(x,y) * T(y,x) = y. [hyper(30,a,368,a(flip),b,453,a),flip(a)]. 475 (K(x * y,z) * x) \ T(x * y,z) = L(y,x,K(x * y,z)). [hyper(97,a,470,a,b,81,a)]. 476 x * (K(y,x) * y) = y * x. [hyper(99,a,470,a(flip),b,17,a(flip))]. 477 T(x,y) = K(y,x) * x. [para(29(a,1),470(a,2,1))]. 480 K(x,y) * (x * z) = T(x,y) * z. [para(470(a,2),222(a,1,1)),flip(a)]. 481 K(x,y) * (x / z) = T(x,y) / z. [para(470(a,2),335(a,1,1)),flip(a)]. 482 (x * K(y,z)) * y = x * T(y,z). [para(470(a,2),428(a,2,2))]. 483 K(x,y) = y / T(y,x). [hyper(105,a,472,a),flip(a)]. 484 K(x,y) * T(x,y) = x. [para(29(a,1),472(a,1,1))]. 485 x * T(y,z) != y | K(z,y) = x. [para(472(a,1),40(a,1)),flip(a)]. 486 T(x,y) \ 1 = x \ K(y,x). [para(472(a,1),204(a,1,1)),flip(a)]. 487 K(x,y) * (T(y,x) * z) = y * z. [para(472(a,1),222(a,1,1)),flip(a)]. 488 x \ (K(y,x) * z) = T(x,y) \ z. [para(472(a,1),237(a,1,1))]. 490 (x * K(y,z)) * T(z,y) = x * z. [para(472(a,1),428(a,2,2))]. 491 (x / y) * K(z,y) = x / T(y,z). [para(472(a,1),449(a,1,1,2))]. 492 K(K(x,y),z) * z = T(z,K(y,x)). [hyper(59,a,464,a,b,477,a),flip(a)]. 494 K(x,y) * (y * z) = T(y,x) * z. [para(477(a,2),222(a,1,1)),flip(a)]. 495 K(x,y) * (T(x,y) * z) = x * z. [para(484(a,1),222(a,1,1)),flip(a)]. 496 x \ (K(x,y) * z) = T(x,y) \ z. [para(484(a,1),237(a,1,1))]. 497 K(x,y) * ((K(y,x) * z) * u) = z * u. [hyper(328,a,471,a),flip(a)]. 498 K(x,y) \ z = K(y,x) * z. [hyper(199,a,471,a),flip(a)]. 499 K(x,y) \ 1 = K(y,x). [hyper(142,a,471,a),flip(a)]. 500 x / (K(y,z) * x) = K(z,y). [hyper(105,a,471,a)]. 501 1 / K(x,y) = K(y,x). [hyper(31,a,459,a,b,471,a)]. 502 (x * K(y,z)) \ u = K(z,y) * (x \ u). [hyper(30,a,448,a,b,471,a)]. 503 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(30,a,323,a,b,471,a),flip(a)]. 504 K(x,y) * (K(x,y) * z) = z. [para(29(a,1),471(a,1,1))]. 505 K(x,y) * z != u | K(y,x) * u = z. [para(471(a,1),39(a,1)),flip(a)]. 512 (x * K(y,z)) * (K(z,y) * u) = x * u. [para(471(a,1),428(a,2,2))]. 513 x / (K(y,z) * u) = (x / u) * K(z,y). [para(471(a,1),449(a,1,1,2)),flip(a)]. 514 x * (K(y,z) * K(z,y)) = x. [para(499(a,1),65(a,1,2,2))]. 516 T(x * K(y,x),y) = x. [hyper(156,a,428,a,b,476,a(flip))]. 517 (x * y) / x = y * K(x,y). [hyper(98,a,476,a(flip),b,428,a)]. 518 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(365,a,516,a),flip(a)]. 519 (x \ y) * K(x,x \ y) = y / x. [hyper(163,a,516,a),flip(a)]. 520 T(x,y) * K(y,T(x,y)) = x. [hyper(45,a,516,a)]. 521 T(T(x * K(y,x),z),y) = T(x,z). [para(516(a,1),18(a,1,1)),flip(a)]. 522 T(R(x * K(y,x),z,u),y) = R(x,z,u). [para(516(a,1),22(a,1,1)),flip(a)]. 523 T(x,y) != z | z * K(y,z) = x. [para(516(a,1),45(a,1)),flip(a)]. 524 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(516(a,1),154(a,1,2,1)),flip(a)]. 525 K(x,y) = T(y,x) \ y. [hyper(34,a,445,a,b,486,a(flip)),flip(a)]. 526 T(x,y) * K(y,x) = x. [hyper(99,a,525,a,b,xx)]. 527 T(x,y) = x / K(y,x). [hyper(139,a,525,a(flip)),flip(a)]. 528 K(x,y) != z \ y | T(y,x) = z. [para(525(a,2),44(a,1))]. 532 T(x,y) * (K(y,x) * z) = x * z. [para(526(a,1),428(a,1,1)),flip(a)]. 533 K(x,y) * (y \ z) = T(y,x) \ z. [para(526(a,1),448(a,1,2,1))]. 535 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(498(a,1),196(a,1))]. 536 (K(x,y) * z) * T(K(y,x),z) = z. [para(498(a,1),337(a,1,1))]. 540 K(x,y) \ z != u | K(x,y) * z = u. [para(504(a,1),198(a,1,2))]. 542 (x * K(y,z)) * K(z,y) = x. [hyper(59,a,428,a,b,514,a)]. 543 T(x * K(y,z),K(z,y)) = K(z,y) \ x. [hyper(219,a,514,a(flip),b,428,a)]. 544 x / K(y,z) = x * K(z,y). [hyper(98,a,514,a(flip),b,428,a)]. 545 (x * K(y,z)) \ x = K(z,y). [hyper(97,a,514,a(flip),b,428,a)]. 546 K(x,y) = y \ ((x * y) / x). [hyper(97,a,517,a,b,xx),flip(a)]. 547 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(517(a,1),86(a,1,1))]. 548 T(x * K(y * x,x),y) = R(x,y,x). [para(517(a,1),358(a,2,1)),flip(a)]. 549 ((x * y) / x) * z = y * (K(x,y) * z). [para(517(a,2),428(a,1,1))]. 550 K(x,T(y,x)) = K(x,y). [hyper(30,a,526,a,b,520,a),flip(a)]. 551 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),550(a,1,2))]. 552 K(x,y / x) = K(x,x \ y). [para(90(a,1),550(a,1,2)),flip(a)]. 553 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(89(a,1),550(a,1,2))]. 554 K(x,(1 / x) \ y) = K(x,y * x). [para(298(a,1),550(a,1,2)),flip(a)]. 555 T(x,y) = x * K(x,y). [hyper(31,a,526,a,b,542,a)]. 556 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(31,a,460,a,b,542,a),flip(a)]. 557 x * K(y,z) != u | u * K(z,y) = x. [para(542(a,1),40(a,1)),flip(a)]. 560 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [hyper(189,a,453,a,b,555,a)]. 561 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [hyper(99,a,555,a,b,498,a)]. 562 K(x,y) = x \ T(x,y). [hyper(97,a,555,a,b,xx),flip(a)]. 563 T(K(x,y),x) = K(x,y). [hyper(156,a,470,a(flip),b,555,a(flip))]. 564 T(x,K(x,y)) = x. [hyper(156,a,555,a(flip),b,470,a(flip))]. 565 T(x,y) = x * K(y,x). [para(29(a,1),555(a,2,2))]. 566 T(x,y) != x * z | K(x,y) = z. [para(555(a,2),39(a,1))]. 567 x \ T(x,y) != z | K(x,y) = z. [para(555(a,2),198(a,1,2))]. 569 x * (K(x,y) * z) = T(x,y) * z. [para(555(a,2),428(a,1,1)),flip(a)]. 570 K(x,y) * (T(x,y) \ z) = x \ z. [para(555(a,2),448(a,1,2,1))]. 571 x * (T(y,x) \ y) = T(x,y). [para(525(a,1),555(a,2,2)),flip(a)]. 572 T(x,K(T(x,y),z)) = x. [hyper(111,a,564,a)]. 573 T(x,K(y,x)) = x. [hyper(59,a,464,a,b,564,a)]. 574 T(T(x,y),K(x,z)) = T(x,y). [para(564(a,1),18(a,1,1)),flip(a)]. 575 T(K(x,y),y) = K(x,y). [hyper(50,a,573,a)]. 576 T(T(x,y),K(z,x)) = T(x,y). [para(573(a,1),18(a,1,1)),flip(a)]. 578 K(x,y) = y \ T(y,x). [hyper(59,a,29,a,b,562,a)]. 579 K(x,y) != x \ z | T(x,y) = z. [para(562(a,2),43(a,1))]. 580 x * K(x,y) != z | T(x,y) = z. [para(562(a,2),164(a,1,2))]. 581 x * K(x,y) != z * u | z \ T(x,y) = u. [para(562(a,2),213(a,1,2))]. 582 T(x,y) = (y * x) / y. [hyper(189,a,517,a,b,565,a),flip(a)]. 583 T(T(x,y),y) = x. [hyper(189,a,520,a(flip),b,565,a),flip(a)]. 584 x \ T(x,K(y,z)) = K(K(z,y),x). [hyper(97,a,464,a,b,565,a(flip))]. 586 K(x,y) * (T(y,x) \ z) = y \ z. [para(565(a,2),448(a,1,2,1))]. 587 T(x / (y \ 1),y) = y * x. [hyper(437,a,583,a),flip(a)]. 588 T(x * y,y) = (1 / y) \ x. [hyper(303,a,583,a),flip(a)]. 589 T(T(x,y),y) = z \ (z * x). [hyper(189,a,4,a,b,583,a),flip(a)]. 590 T(x \ y,x) = y / x. [hyper(163,a,583,a),flip(a)]. 591 T(T(x \ y,z),x) = T(y / x,z). [hyper(36,a,160,a,b,583,a),flip(a)]. 592 T(x,y) * y = y * x. [hyper(99,a,583,a(flip),b,91,a),flip(a)]. 593 (1 / x) * T(y,x) = y / x. [hyper(98,a,583,a(flip),b,297,a(flip)),flip(a)]. 594 T(x,y) != z | T(z,y) = x. [para(583(a,1),45(a,1)),flip(a)]. 595 T(T(x,y),z) * y = y * T(x,z). [para(583(a,1),153(a,1,2,1)),flip(a)]. 596 L(T(x,y),z,u) * y = y * L(x,z,u). [para(583(a,1),154(a,1,2,1)),flip(a)]. 598 x \ T(y,x) = y * (x \ 1). [para(583(a,1),439(a,1,1)),flip(a)]. 599 x * K(y,x) != z | T(x,y) = z. [para(578(a,2),164(a,1,2))]. 600 (x * y) / x = K(x,y) * y. [hyper(59,a,477,a(flip),b,582,a),flip(a)]. 601 x * ((x * y) / x) = y * x. [hyper(99,a,582,a(flip),b,17,a(flip))]. 605 K(x,y) * ((y * x) / y) = x. [para(582(a,1),484(a,1,2))]. 606 K(x,x \ y) * (x \ y) = y / x. [hyper(59,a,477,a(flip),b,590,a)]. 607 (x \ y) * x = x * (y / x). [hyper(99,a,590,a(flip),b,17,a(flip)),flip(a)]. 608 T(x,y) != z / y | y \ z = x. [para(590(a,1),45(a,1)),flip(a)]. 610 T(x,y) = y * (x * (y \ 1)). [hyper(31,a,431,a,b,592,a),flip(a)]. 611 L(x \ y,x,T(z,x)) = (x * z) \ (T(z,x) * y). [para(592(a,1),83(a,2,1))]. 613 1 / K(x,y) != z | K(y,x) = z. [para(544(a,2),100(a,1))]. 616 x * K(y,y \ x) = y * (x / y). [hyper(99,a,552,a(flip),b,80,a)]. 617 T(x,y) \ (K(z,x) * T(x,y)) = K(z,x). [para(576(a,1),149(a,1,2,2))]. 618 T((x * (1 / y)) * y,y) = T(x,1 / y). [hyper(189,a,17,a,b,588,a),flip(a)]. 619 x * T(y * z,z) = x * ((1 / z) \ y). [hyper(99,a,588,a,b,4,a)]. 620 T(x,y) = (1 / y) \ (x / y). [para(7(a,1),588(a,1,1))]. 621 (1 / x) \ T(y,x) = T(x * y,x). [para(592(a,1),588(a,1,1)),flip(a)]. 623 T(T(x,y),y) != z | x = z. [para(589(a,2),198(a,1))]. 625 T(x \ y,x) != z | y / x = z. [para(90(a,1),623(a,1,1))]. 628 T(K(x,y),y) != z | K(x,y) = z. [para(575(a,1),623(a,1,1))]. 629 T(x / y,y) != z | y \ x = z. [para(590(a,1),623(a,1,1))]. 630 T(x * y,x) != z | y / (x \ 1) = z. [para(587(a,1),623(a,1,1))]. 631 T((1 / x) \ y,x) != z | y * x = z. [para(588(a,1),623(a,1,1))]. 632 L(x \ T(y,z),x,1 / z) = ((1 / z) * x) \ (y / z). [para(593(a,1),83(a,2,2))]. 633 K(x,y) * (y * x) = x * y. [hyper(33,a,261,a,b,600,a)]. 634 K(x,y) * (y * z) = ((x * y) / x) * z. [para(600(a,2),222(a,1,1)),flip(a)]. 635 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(76(a,1),605(a,1,2,1))]. 637 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [para(499(a,1),610(a,2,2,2)),flip(a)]. 638 T(x * y,K(y,x)) = x * y. [hyper(211,a,633,a)]. 639 K(x,y) * (x * y) = y * x. [hyper(30,a,504,a,b,633,a)]. 640 K(x,y) * z != x * y | y * x = z. [para(633(a,1),39(a,1)),flip(a)]. 641 K(x,y) * ((y * x) * z) = (x * y) * z. [para(633(a,1),222(a,1,1)),flip(a)]. 642 (x * y) \ (K(x,y) * z) = (y * x) \ z. [para(633(a,1),237(a,1,1))]. 643 T(x * y,z) * K(y,x) = K(y,x) * T(x * y,z). [para(638(a,1),153(a,1,2,1)),flip(a)]. 644 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(498(a,1),567(a,1))]. 645 K(x,y) != z | K(y,x) = z. [para(578(a,2),567(a,1))]. 646 (x * y) \ (y * x) != z | K(x,y) = z. [para(11(a,1),645(a,1))]. 648 (x * y) / x != z | T(y,x) = z. [para(517(a,2),599(a,1))]. 649 (x \ (x \ y)) / (x \ 1) != z | y / x = z. [para(436(a,1),625(a,1))]. 650 K(x,x \ y) * (x \ y) != z | y / x = z. [para(477(a,1),625(a,1))]. 651 T(x,y) != z | y \ (x * y) = z. [para(6(a,1),629(a,1,1))]. 652 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),629(a,1,1))]. 653 T(T(x * y,x),x \ 1) != z | (x \ 1) \ y = z. [para(432(a,2),629(a,1,1))]. 655 K(x,y) * y != z | T(y,x) = z. [para(600(a,1),648(a,1))]. 657 T(x,y) * (x \ z) = K(x,y) * z. [hyper(199,a,480,a),flip(a)]. 658 (T(x,y) * z) / (x * z) = K(x,y). [hyper(105,a,480,a)]. 659 K(x,y) \ (T(x,y) * z) = x * z. [hyper(101,a,480,a)]. 660 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(97,a,88,a(flip),b,480,a)]. 661 ((x * (x * y)) / x) / y = T(x,x * y). [hyper(98,a,600,a,b,480,a(flip))]. 662 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(480(a,1),15(a,2,1,1)),flip(a)]. 663 K(x,y) * (z * x) = T(x,y) * T(z,x). [para(88(a,1),480(a,1,2))]. 664 K(x * y,z) * (y * x) = T(x * y,z) * K(y,x). [para(78(a,1),480(a,1,2))]. 665 K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. [para(481(a,1),222(a,1,1)),flip(a)]. 666 T(x,y) \ y = x \ T(y,x). [para(470(a,2),488(a,1,2)),flip(a)]. 667 T(x,y) \ y = y * (x \ 1). [hyper(189,a,598,a(flip),b,666,a),flip(a)]. 668 x * (T(x,y) \ y) = T(y,x). [hyper(99,a,666,a,b,xx)]. 669 L(T(x,y),z,u) \ y = y * (L(x,z,u) \ 1). [para(20(a,2),667(a,1,1))]. 670 T(1 / x,y) \ y = y * x. [para(73(a,1),667(a,2,2))]. 671 (x * (y \ 1)) \ (y \ 1) = (y \ 1) * ((y \ x) \ 1). [para(304(a,1),667(a,1,1))]. 672 x * (T(y,x) \ 1) = y \ x. [para(583(a,1),667(a,1,1)),flip(a)]. 673 T(x,y) \ 1 = y \ (x \ y). [hyper(101,a,672,a),flip(a)]. 674 T(x / y,x) \ 1 = x \ y. [hyper(97,a,73,a(flip),b,672,a),flip(a)]. 675 (x \ 1) * ((y * (x \ 1)) \ 1) = (x \ y) \ (x \ 1). [para(304(a,1),672(a,1,2,1))]. 676 T(x,y) = 1 / (y \ (x \ y)). [hyper(139,a,673,a),flip(a)]. 677 R(T(x,y),z,u) \ 1 = y \ (R(x,z,u) \ y). [para(22(a,2),673(a,1,1))]. 678 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(673(a,2),304(a,1,1))]. 679 x \ ((x \ y) \ x) = (y / x) \ 1. [para(590(a,1),673(a,1,1)),flip(a)]. 680 T(x / y,x) = 1 / (x \ y). [hyper(139,a,674,a),flip(a)]. 681 T(x,T(y / z,y)) * (y \ z) = T(y / z,y) \ x. [para(674(a,1),439(a,1,2))]. 682 (x * x) \ 1 = x \ (x \ 1). [para(587(a,1),674(a,1,1))]. 684 T(1 / (x \ y),x) = x / y. [hyper(594,a,680,a)]. 685 T(T(x / y,x) \ z,x \ y) = z * (x \ y). [para(680(a,2),298(a,1,1,1))]. 686 T(1 / (x \ y),x) != z | x / y = z. [para(680(a,1),623(a,1,1))]. 687 T(x / y,x) != z | 1 / (x \ y) = z. [para(684(a,1),623(a,1,1))]. 688 (x * y) / T(y,z) = x * K(z,y). [hyper(105,a,490,a)]. 689 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(101,a,490,a)]. 690 (x / y) * K(y \ x,y) = y \ x. [hyper(189,a,186,a(flip),b,491,a),flip(a)]. 691 K(K(x,y),z) = K(z,K(y,x)). [hyper(31,a,470,a(flip),b,492,a),flip(a)]. 692 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(492(a,1),655(a,1))]. 693 K(x,K(y,z)) = K(x,K(z,y)). [hyper(645,a,691,a)]. 694 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(691(a,1),645(a,1))]. 695 K(x,y) * ((T(x,y) * z) * u) = (x * z) * u. [para(495(a,1),222(a,1,1)),flip(a)]. 696 (x * y) \ (K(x,z) * u) = (T(x,z) * y) \ u. [para(495(a,1),237(a,1,1))]. 697 1 / (x \ K(y,z)) = K(z,y) * x. [para(70(a,1),503(a,1,2)),flip(a)]. 698 K(x,x \ 1) = x * (1 / x). [hyper(99,a,519,a(flip),b,460,a(flip)),flip(a)]. 699 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(519(a,1),428(a,1,1)),flip(a)]. 700 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(519(a,1),448(a,1,2,1))]. 701 K(x \ 1,x) * ((x * (1 / x)) * y) = y. [para(698(a,1),471(a,1,2,1))]. 703 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(521(a,1),45(a,2)),flip(b)]. 704 x / (K(y,x * K(z,u)) * K(u,z)) = T(x * K(z,u),y). [hyper(98,a,542,a(flip),b,532,a)]. 705 T(x,y) * (y * x) = x * (x * y). [para(633(a,1),532(a,1,2))]. 706 T(x,y) * (T(y,x) / z) = x * (y / z). [para(481(a,1),532(a,1,2))]. 707 T(x,y) * (x * z) = x * (T(x,y) * z). [para(487(a,1),532(a,1,2))]. 708 T(x,y) * (y * z) = x * (T(y,x) * z). [para(495(a,1),532(a,1,2))]. 709 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(99,a,533,a,b,488,a)]. 710 K(x,y) * (x \ z) = T(x,y) \ z. [para(29(a,1),533(a,1,1))]. 711 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(536(a,1),39(a,1)),flip(a)]. 712 x \ (T(x,y) * z) = K(x,y) * z. [hyper(101,a,569,a)]. 714 T(x,y) * K(K(x,y),z) = x * T(K(x,y),z). [para(555(a,2),569(a,1,2)),flip(a)]. 715 T(x,y) * (y \ z) = x * (T(y,x) \ z). [para(533(a,1),569(a,1,2)),flip(a)]. 717 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. [para(570(a,1),222(a,1,1)),flip(a)]. 718 (x \ y) \ (K(x,z) * u) = (T(x,z) \ y) \ u. [para(570(a,1),237(a,1,1))]. 719 T(x,y) \ (T(x,y) \ z) = x \ (x \ z). [para(570(a,1),496(a,1,2)),flip(a)]. 720 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(584(a,1),567(a,1))]. 721 x \ y != K(z,x) * u | T(x,z) \ y = u. [para(586(a,1),39(a,1))]. 722 T(T(x \ y,y),x) = 1 / (y \ x). [hyper(189,a,680,a(flip),b,591,a),flip(a)]. 723 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(591(a,1),623(a,1,1))]. 724 x \ T(y,x \ 1) = (x \ 1) * T(y,x). [hyper(59,a,439,a(flip),b,595,a)]. 725 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(606(a,1),204(a,1,1))]. 727 (x * (y * y)) / y = T(y * x,y). [hyper(424,a,621,a)]. 728 (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). [para(85(a,1),658(a,1,2))]. 730 T(x,y) \ (x * y) = T(y,x). [para(555(a,2),689(a,1,1))]. 731 T(x,T(y,x)) = T(x,y). [hyper(214,a,730,a)]. 732 T(x,y) = (x \ (y * x)) \ (y * x). [para(17(a,1),730(a,1,1)),flip(a)]. 733 T(x,y / x) = T(x,x \ y). [para(90(a,1),731(a,1,2)),flip(a)]. 734 T(x,y * K(x,y)) = T(x,y). [para(516(a,1),731(a,1,2)),flip(a)]. 735 T(x,y / x) = (x \ y) \ y. [hyper(189,a,89,a(flip),b,733,a),flip(a)]. 736 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(733(a,1),387(a,1,2,2))]. 737 T(x \ y,x) = ((x \ y) \ y) \ y. [para(70(a,1),735(a,1,2))]. 738 (x * (y / x)) * x = y * ((x \ y) \ y). [para(735(a,1),369(a,2,2))]. 739 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(690(a,1),448(a,1,2,1))]. 740 (x * (x * y)) / x = T(x,y * x) * y. [hyper(98,a,705,a(flip),b,367,a)]. 741 T(x,y) \ (x * z) = K(x,y) * z. [hyper(268,a,710,a),flip(a)]. 742 T(x,x \ y) \ y = y / x. [hyper(59,a,606,a(flip),b,710,a),flip(a)]. 743 ((x * y) / x) \ z = K(y,x) * (y \ z). [para(582(a,1),710(a,2,1)),flip(a)]. 745 ((x \ y) \ y) \ y = y / x. [hyper(59,a,184,a(flip),b,742,a)]. 746 x / (x / y) = (y \ x) \ x. [para(187(a,1),742(a,1,1)),flip(a)]. 748 x \ y != y / z | (z \ y) \ y = x. [para(745(a,1),44(a,1)),flip(a)]. 749 (((x \ 1) \ 1) \ y) * (1 / x) = (1 / x) * (y * (1 / x)). [para(746(a,1),302(a,1,1,1))]. 750 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(189,a,657,a,b,712,a),flip(a)]. 751 x * (y * y) = y * (y * x). [hyper(33,a,582,a(flip),b,727,a),flip(a)]. 752 T(x,y * y) = L(x,y,y). [hyper(156,a,751,a,b,81,a)]. 753 (x * y) / (x * x) = x \ y. [hyper(98,a,116,a(flip),b,751,a)]. 754 x / (y * y) = y \ (y \ x). [hyper(98,a,67,a(flip),b,751,a)]. 755 (x * (y * y)) \ ((y * y) * x) = a(y,y,x). [para(751(a,2),9(a,2,1)),flip(a)]. 757 L(T(x,y * y),y,y) = x. [hyper(623,a,752,a),flip(a)]. 758 x * K(x,y * y) = L(x,y,y). [hyper(59,a,555,a(flip),b,752,a)]. 759 L(L(x,y,y),y,y) = x. [para(752(a,1),757(a,1,1))]. 760 x * (x * L(y,x,x)) = (x * x) * y. [hyper(99,a,759,a(flip),b,13,a(flip)),flip(a)]. 761 L(x,y,y) != z | L(z,y,y) = x. [para(759(a,1),46(a,1)),flip(a)]. 763 T(x \ y,x) != z \ y | (x \ y) \ y = z. [para(737(a,2),44(a,1))]. 764 ((x \ y) \ y) \ y != z | y / x = z. [para(737(a,1),625(a,1))]. 765 (x * y) \ (((1 / y) \ x) * z) = K((1 / y) \ x,y) * z. [para(298(a,1),741(a,1,1))]. 773 L((x * x) * y,x,x) != z | y / ((x * x) \ 1) = z. [para(752(a,1),630(a,1))]. 774 T(x,y / x) != z | (x \ y) \ y = z. [para(733(a,2),652(a,1))]. 775 T(1 / x,y) != z | y / (y * x) = z. [para(4(a,1),686(a,1,1,2))]. 777 K(x,T(y,z)) * y = y * K(x,T(y,z)). [hyper(99,a,572,a(flip),b,465,a)]. 782 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(189,a,691,a(flip),b,561,a),flip(a)]. 783 (x * ((x \ y) * z)) / y = L(T(z,y),x \ y,x). [hyper(98,a,229,a(flip),b,596,a)]. 784 K(x,y) != T(y,z) \ u | K(x,y) * T(y,z) = u. [para(617(a,1),43(a,1))]. 785 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(617(a,1),164(a,1,2))]. 787 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(199,a,641,a),flip(a)]. 788 K(x,y) \ (z * (x * y)) = (y * x) * T(z,x * y). [hyper(97,a,88,a(flip),b,641,a)]. 789 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(189,a,569,a,b,663,a)]. 790 (x * (1 / x)) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(30,a,426,a(flip),b,701,a),flip(a)]. 791 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(7(a,1),707(a,1,2)),flip(a)]. 792 T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). [hyper(99,a,709,a(flip),b,659,a),flip(a)]. 793 L(T(x,y),y \ 1,y) = T(x,y \ 1). [hyper(280,a,724,a)]. 794 T(T(x,y),y \ 1) = L(x,y \ 1,y). [para(583(a,1),793(a,1,1)),flip(a)]. 795 ((x * (x * y)) / x) / y = T(x,y * x). [hyper(98,a,740,a,b,xx)]. 797 T(x,x \ y) * y = x * ((x \ y) * x). [hyper(99,a,592,a(flip),b,750,a),flip(a)]. 799 K(x,y) * ((y * x) * z) != u | (x * y) * z = u. [para(787(a,1),268(a,1))]. 800 T(x,y * x) = T(x,x * y). [hyper(59,a,661,a(flip),b,795,a),flip(a)]. 802 x \ T(x,x * y) = K(x,y * x). [hyper(97,a,800,a(flip),b,555,a(flip))]. 803 T(x,(x \ y) * x) = T(x,y). [para(5(a,1),800(a,2,2))]. 804 (x * T(y,x * y)) / x = L(y,x,y). [para(800(a,2),346(a,1,1,2))]. 805 x / T(x,x * y) = K(y * x,x). [para(800(a,1),483(a,2,2)),flip(a)]. 806 R(T(x,y),x \ y,x) = (x \ y) \ y. [para(803(a,1),366(a,1,1))]. 807 K(x,y * x) = K(x,x * y). [hyper(567,a,802,a),flip(a)]. 808 K(x * y,y) = K(y * x,y). [hyper(59,a,483,a,b,805,a),flip(a)]. 809 T(x * K(x * y,x),y) = R(x,y,x). [para(808(a,1),548(a,1,1,2))]. 810 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(804(a,1),310(a,1,1,1)),flip(a)]. 811 R(x,x \ y,x) * y = y * ((x \ y) \ y). [hyper(99,a,806,a(flip),b,92,a),flip(a)]. 812 T(x,x \ y) * y = x * (x * (y / x)). [para(607(a,1),797(a,2,2))]. 814 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(317(a,1),723(a,1,1))]. 815 K(x,y * y) = a(y,y,x). [hyper(646,a,755,a)]. 817 L(x,a(y,y,z),u) = x. [para(815(a,1),447(a,1,2))]. 818 x * a(y,y,x) = L(x,y,y). [para(815(a,1),758(a,1,2))]. 819 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [hyper(99,a,817,a(flip),b,13,a(flip))]. 820 x \ L(x,y,y) = a(y,y,x). [hyper(101,a,818,a)]. 822 R(x,x \ y,x) * y = (x * (y / x)) * x. [hyper(189,a,738,a,b,811,a),flip(a)]. 823 R(x,y / x,x) = R(x,x \ y,x). [hyper(31,a,246,a,b,822,a)]. 824 R(x,(x * y) / x,x) = R(x,y,x). [para(4(a,1),823(a,2,2))]. 825 R(x,T(y,x),x) = R(x,y,x). [para(148(a,1),824(a,1,2)),flip(a)]. 826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [para(6(a,1),469(a,1,1)),flip(a)]. 827 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(25(a,1),524(a,2,2))]. 829 T(x,y) \ ((T(x,y) * z) * u) = x \ ((x * z) * u). [para(695(a,1),496(a,1,2)),flip(a)]. 830 (T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w). [para(695(a,1),696(a,1,2)),flip(a)]. 831 (x \ 1) * ((x * (1 / x)) * y) = (1 / x) * y. [para(698(a,1),699(a,1,2,1))]. 832 (x * (1 / x)) * ((1 / x) \ y) = (x \ 1) \ y. [para(698(a,1),700(a,1,1))]. 833 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(59,a,663,a(flip),b,717,a)]. 834 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(156,a,222,a,b,789,a)]. 835 K(x,y) * T(x * z,x) = T(T(x,y) * z,x). [para(480(a,1),834(a,1,1)),flip(a)]. 836 x * (a(y,y,x) * z) = L(x,y,y) * z. [para(818(a,1),819(a,1,1)),flip(a)]. 841 K(x,y) * (y * x) != z * u | z \ (x * y) = u. [para(633(a,1),535(a,1,2))]. 842 K(x,y) * (x * y) != z * u | z \ (y * x) = u. [para(639(a,1),535(a,1,2))]. 844 L(x * y,x \ 1,x) = (x \ 1) \ y. [hyper(653,a,794,a),flip(a)]. 845 L(x * y,x \ 1,x) != z | (x \ 1) \ y = z. [para(794(a,1),653(a,1))]. 846 (x \ 1) \ (x \ y) = L(y,x \ 1,x). [para(5(a,1),844(a,1,1)),flip(a)]. 847 L(L(x * y,z,u),x \ 1,x) = L((x \ 1) \ y,z,u). [para(844(a,1),25(a,1,1)),flip(a)]. 849 T(K(x,y),z) * (z * u) = z * (K(x,y) * u). [hyper(59,a,708,a,b,450,a)]. 850 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(189,a,643,a(flip),b,664,a),flip(a)]. 851 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(224(a,1),791(a,1,2))]. 852 (x \ y) \ ((T(y / x,x) * z) * u) = (y / x) \ (((y / x) * z) * u). [para(90(a,1),829(a,1,1))]. 853 K(x / y,z) * x = y * T(y \ x,z). [hyper(30,a,569,a,b,851,a)]. 854 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(853(a,1),157(a,2)),flip(a)]. 855 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(99,a,847,a(flip),b,846,a)]. 856 x / (K(y,T(x,z)) * K(x,z)) = T(x * K(z,x),y). [para(565(a,2),704(a,1,2,1,2))]. 857 T(x * K(y,x),z) \ x = K(z,T(x,y)) * K(x,y). [hyper(136,a,856,a)]. 858 T((x * y) / x,z) \ y = K(z,T(y,x)) * K(y,x). [para(517(a,2),857(a,1,1,1))]. 859 (x * y) \ (((1 / y) \ x) * z) = K(y,(1 / y) \ x) * z. [para(29(a,1),765(a,2,1))]. 860 R((x * (1 / x)) * y,z,u) = (x * (1 / x)) * R(y,z,u). [para(701(a,1),790(a,1,2,1)),flip(a)]. 861 (x * y) \ (((1 / y) \ x) * z) = K(y,x * y) * z. [para(554(a,1),859(a,2,1))]. 862 T(x * y,y) \ (((1 / y) \ x) * z) = z. [hyper(721,a,861,a)]. 863 (x \ 1) * R((x * (1 / x)) * y,z,u) = (1 / x) * R(y,z,u). [para(860(a,2),831(a,1,2))]. 865 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(59,a,312,a(flip),b,391,a)]. 866 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(59,a,154,a(flip),b,401,a),flip(a)]. 867 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(154(a,1),866(a,1,2)),flip(a)]. 868 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(275,a,867,a)]. 869 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(101,a,867,a)]. 870 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(97,a,116,a(flip),b,867,a)]. 871 x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [hyper(97,a,67,a(flip),b,867,a),flip(a)]. 872 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(97,a,867,a(flip),b,78,a)]. 873 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(17(a,2),868(a,2,2))]. 875 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(869(a,1),423(a,1,1,1)),flip(a)]. 877 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(3(a,1),408(a,2,2,1,2))]. 878 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(414(a,2),877(a,1,2)),flip(a)]. 879 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(4(a,1),878(a,1,2,1)),flip(a)]. 880 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(248(a,1),728(a,1,1))]. 881 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(59,a,662,a(flip),b,880,a)]. 882 R(K(x,y),z,u) = K(R(x,w,v5),y). [hyper(59,a,332,a,b,881,a)]. 883 K(R(x,y,z),u) = K(x,u). [hyper(59,a,326,a(flip),b,881,a),flip(a)]. 884 K(x * (y \ 1),z) = K(x / y,z). [para(282(a,1),883(a,1,1))]. 885 K((x * y) / z,u) = K(x / (z / y),u). [para(257(a,1),883(a,1,1))]. 886 K((x \ y) \ y,z) = K(T(x,y),z). [para(806(a,1),883(a,1,1))]. 889 K(x,R(y,z,u)) = R(K(y,x),w,v5) \ 1. [para(882(a,2),499(a,1,1)),flip(a)]. 891 K(x / T(y,x),z) = K(y \ x,z). [para(672(a,1),884(a,1,1)),flip(a)]. 892 K((x \ 1) \ 1,y) = K(x,y). [para(188(a,1),886(a,2,1))]. 893 K(x,R(y,z,u)) = K(x,R(y,w,v5)). [hyper(189,a,889,a,b,889,a)]. 894 a(T(x,y),z,u) = (x * (z * u)) \ ((x * z) * u). [hyper(338,a,830,a)]. 895 ((x \ y) * z) \ ((T(y / x,x) * u) * w) = ((y / x) * z) \ (((y / x) * u) * w). [para(90(a,1),830(a,1,1,1))]. 896 a(T(x,y),z,u) = a(x,z,u). [hyper(189,a,9,a,b,894,a),flip(a)]. 897 a(x / y,z,u) = a(y \ x,z,u). [para(90(a,1),896(a,1,1)),flip(a)]. 898 a((x \ y) \ y,z,u) = a(x,z,u). [para(89(a,1),896(a,1,1))]. 899 a(x * (y \ 1),z,u) = a(y \ x,z,u). [para(304(a,1),896(a,1,1))]. 900 a(L(x,y,y),z,u) = a(x,z,u). [para(752(a,1),896(a,1,1))]. 901 a(x \ (y / x),z,u) = a(x \ (x \ y),z,u). [para(441(a,1),899(a,1,1))]. 902 (1 / x) * R((1 / x) \ y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). [para(832(a,1),863(a,1,2,1)),flip(a)]. 903 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(312(a,1),865(a,2,1))]. 905 T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u). [para(24(a,2),316(a,1,1))]. 906 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(240(a,1),388(a,1,2,1))]. 907 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(6(a,1),875(a,2,1))]. 908 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(99,a,905,a(flip),b,159,a)]. 909 x * ((T(y,x) \ 1) * L((T(y,x) \ 1) \ (x \ z),u,w)) = (y \ x) * L((x * (T(y,x) \ 1)) \ z,u,w). [para(672(a,1),400(a,1,1)),flip(a)]. 910 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(59,a,310,a(flip),b,403,a),flip(a)]. 911 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(310(a,1),910(a,1,1))]. 913 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(101,a,911,a)]. 914 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) = K(y,x * L(y,z,u)). [para(911(a,1),11(a,2,1)),flip(a)]. 915 T(R(x,y,L(x,z,u)),y * L(x,z,u)) = T(x,y). [para(913(a,1),362(a,1,1)),flip(a)]. 916 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [hyper(703,a,915,a)]. 917 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(523,a,915,a)]. 918 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(99,a,915,a(flip),b,159,a)]. 919 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(189,a,309,a(flip),b,404,a),flip(a)]. 920 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(59,a,312,a(flip),b,405,a)]. 921 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(3(a,1),421(a,1,2,2,1,2)),flip(a)]. 922 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(189,a,309,a(flip),b,422,a),flip(a)]. 923 ((1 / (x \ 1)) * y) * T(x * z,x) = (x * (y * z)) * x. [hyper(189,a,444,a(flip),b,435,a),flip(a)]. 924 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(70(a,1),923(a,1,1,1))]. 925 (x * T(y * z,y)) / y = y * ((y \ x) * z). [hyper(393,a,924,a)]. 926 (x * y) \ ((x * (y * z)) * x) = T(x * z,x). [hyper(101,a,924,a)]. 927 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(59,a,115,a(flip),b,924,a),flip(a)]. 928 (x * (y * (x \ z))) * x = (x * y) * T(z,x). [para(5(a,1),924(a,1,2,1)),flip(a)]. 930 (x * (y / (z \ 1))) / z = z * ((z \ x) * y). [para(432(a,1),925(a,1,1,2))]. 932 T(x * (y \ (x \ z)),x) = (x * y) \ (z * x). [para(67(a,1),926(a,1,2,1)),flip(a)]. 933 x * T(y * T(z,y \ x),y) = (y * (z * (y \ x))) * y. [para(88(a,1),927(a,1,1,2)),flip(a)]. 934 ((x * y) * T(z,x)) / x = x * (y * (x \ z)). [hyper(105,a,928,a)]. 935 (1 / x) * (((1 / x) \ y) * z) = (y * (z / x)) / (1 / x). [para(73(a,1),930(a,1,1,2,2)),flip(a)]. 936 (x \ (y \ z)) / (y \ 1) = (y * x) \ (z * y). [hyper(630,a,932,a)]. 937 (x * x) \ (y * x) = y / x. [hyper(649,a,936,a),flip(a)]. 938 (x * y) * y = (y * y) * x. [hyper(291,a,937,a),flip(a)]. 939 (x * x) * (y / x) = y * x. [hyper(108,a,937,a)]. 940 (x / y) / y = (y * y) \ x. [para(7(a,1),937(a,1,2)),flip(a)]. 941 (x * x) \ (x * y) = T(y,x) / x. [para(592(a,1),937(a,1,2))]. 942 x * L(y,x,x) = T(y * x,x). [hyper(156,a,938,a,b,760,a),flip(a)]. 943 (x * x) * y != z * x | y * x = z. [para(938(a,1),40(a,1))]. 945 (x * x) * y != z * x | z / x = y. [para(939(a,1),39(a,1)),flip(a)]. 946 x \ T(y * x,x) = L(y,x,x). [hyper(101,a,942,a)]. 947 x \ ((1 / x) \ y) = L(y,x,x). [hyper(97,a,588,a(flip),b,942,a)]. 948 (x * y) * (y \ 1) = L(x,y,y). [hyper(30,a,610,a(flip),b,942,a)]. 950 x \ T(y * x,x) != z | L(y,x,x) = z. [para(942(a,1),198(a,1,2))]. 951 (1 / x) \ L(y,x,x) = x * y. [hyper(99,a,759,a(flip),b,947,a),flip(a)]. 952 L((1 / x) * y,x,x) = x \ y. [para(4(a,1),947(a,1,2)),flip(a)]. 953 (1 / x) * (x * y) = L(y,x,x). [hyper(108,a,951,a)]. 954 (x * x) \ (x * y) = (1 / x) * y. [hyper(189,a,299,a(flip),b,941,a),flip(a)]. 955 (x * x) * (((1 / x) * y) * z) = x * ((y * (z * x)) / x). [hyper(99,a,379,a(flip),b,954,a)]. 956 (1 / x) * (x \ y) = (x * x) \ y. [para(5(a,1),954(a,1,2)),flip(a)]. 957 (x * x) \ (x * y) != z | (1 / x) * y = z. [para(956(a,1),268(a,1))]. 958 x \ ((1 / x) \ y) != z | L(y,x,x) = z. [para(588(a,1),950(a,1,2))]. 959 T(x,y) / y != z | (1 / y) * x = z. [para(941(a,1),957(a,1))]. 960 x * T(y * T(z,y \ x),y) = (y * z) * T(x,y). [hyper(189,a,928,a(flip),b,933,a),flip(a)]. 961 (x * x) * (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [para(956(a,1),955(a,1,2,1))]. 962 x \ (y * (((y \ x) * (z * y)) / y)) = L(z,(y * y) \ x,y * y). [hyper(97,a,961,a(flip),b,229,a)]. 963 (x / y) \ (((x / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(90(a,1),852(a,1,2,1,1)),flip(a)]. 964 (x \ 1) \ (((x \ 1) * y) * z) = (y * (z * x)) / x. [hyper(399,a,963,a),flip(a)]. 965 (x \ 1) * T(x * y,x) = ((x \ 1) * y) * x. [hyper(99,a,727,a(flip),b,964,a)]. 966 L(x \ ((y * (z * u)) / u),x,u \ 1) = ((u \ 1) * x) \ (((u \ 1) * y) * z). [para(964(a,1),178(a,1,1,2))]. 967 (1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u). [hyper(189,a,407,a(flip),b,902,a),flip(a)]. 968 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(59,a,411,a(flip),b,967,a)]. 969 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [hyper(106,a,968,a)]. 970 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(309(a,1),908(a,2,1))]. 971 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(309(a,1),919(a,1,1))]. 972 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(312(a,1),920(a,2,1))]. 973 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(309(a,1),922(a,1,1))]. 974 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(156,a,970,a(flip),b,400,a(flip)),flip(a)]. 976 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),974(a,1,2,1,2)),flip(a)]. 977 K(x,y) * T(x * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [hyper(99,a,976,a,b,659,a)]. 979 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(156,a,972,a(flip),b,402,a(flip)),flip(a)]. 981 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(972(a,1),421(a,1,2)),flip(a)]. 982 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),979(a,1,2,1,2)),flip(a)]. 983 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(98,a,982,a,b,312,a)]. 984 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(4(a,1),983(a,1,1,1,2,1)),flip(a)]. 985 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(105,a,973,a)]. 986 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(7(a,1),985(a,1,1,2,1,2)),flip(a)]. 987 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(189,a,9,a,b,241,a)]. 988 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(222(a,1),325(a,1,1))]. 989 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(428(a,1),452(a,1,1))]. 990 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(374,a,988,a)]. 991 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(143,a,990,a),flip(a)]. 992 L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. [para(990(a,1),143(a,1))]. 994 L(x,y,(K(z,u) * w) * v5) = L(x,y,w * v5). [para(222(a,2),991(a,1,3))]. 995 L(x,y,T(z,u)) = L(x,y,z). [para(470(a,2),991(a,1,3))]. 996 L(x,y,(z * u) / z) = L(x,y,u). [para(600(a,2),991(a,1,3))]. 997 L(x,y,z * u) = L(x,y,u * z). [para(633(a,1),991(a,1,3))]. 998 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(480(a,1),991(a,1,3))]. 999 L(x,y,T(z,u) \ w) = L(x,y,z \ w). [para(533(a,1),991(a,1,3))]. 1000 L(x,y,z / u) = L(x,y,u \ z). [para(606(a,1),991(a,1,3))]. 1001 L(x,y,(z / u) \ w) = L(x,y,(u \ z) \ w). [para(700(a,1),991(a,1,3)),flip(a)]. 1002 L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5). [para(717(a,1),991(a,1,3)),flip(a)]. 1003 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(189,a,342,a(flip),b,995,a),flip(a)]. 1004 (x * y) \ (T(y,x) * z) = L(x \ z,x,y). [hyper(59,a,611,a(flip),b,995,a)]. 1005 L(x,y,(z \ u) \ u) = L(x,y,z). [para(89(a,1),995(a,1,3))]. 1006 L(x,y,(1 / z) \ u) = L(x,y,u * z). [para(298(a,1),995(a,1,3)),flip(a)]. 1007 L(x,y,z * (u \ 1)) = L(x,y,u \ z). [para(304(a,1),995(a,1,3))]. 1008 R(L(x,y,x),y,x) = x. [para(996(a,1),395(a,1,1))]. 1009 L(R(x,y,x),y,x) = x. [hyper(59,a,24,a(flip),b,1008,a)]. 1010 R(x,y,z) != z | L(z,y,z) = x. [para(1008(a,1),47(a,1)),flip(a)]. 1012 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(189,a,991,a(flip),b,997,a),flip(a)]. 1013 L(x \ T(y,z),x,z \ 1) = ((1 / z) * x) \ (y / z). [hyper(59,a,632,a(flip),b,1000,a),flip(a)]. 1014 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(59,a,239,a(flip),b,1000,a),flip(a)]. 1015 L(x,y,z \ (u * T(z * w,z))) = L(x,y,z * ((z \ u) * w)). [para(925(a,1),1000(a,1,3)),flip(a)]. 1016 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(879(a,1),1012(a,1,3))]. 1017 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [hyper(37,a,1009,a,b,1003,a)]. 1019 L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6). [para(22(a,2),998(a,1,3,1))]. 1020 L(x,y,(T(z / u,z) \ w) * v5) = L(x,y,(w * (z \ u)) * v5). [para(685(a,1),998(a,1,3,1)),flip(a)]. 1022 L(x,y,z \ (u \ z)) = L(x,y,u \ 1). [para(673(a,1),999(a,1,3))]. 1023 L(x,y,T(z * u,w)) = L(x,y,(1 / u) \ z). [hyper(189,a,995,a,b,1006,a)]. 1024 L(x,y,z * (T(u,w) \ 1)) = L(x,y,u \ z). [hyper(189,a,999,a(flip),b,1007,a),flip(a)]. 1025 L(x,y,(z \ 1) * u) = L(x,y,z \ u). [hyper(59,a,997,a,b,1007,a)]. 1026 L(x,y,z * (u / w)) = L(x,y,z * (w \ u)). [para(90(a,1),1016(a,1,3,2)),flip(a)]. 1027 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (w \ u)). [para(304(a,1),1016(a,1,3,2))]. 1028 L(x,y,z * (T(u / w,u) \ v5)) = L(x,y,z * (v5 * (u \ w))). [para(685(a,1),1016(a,1,3,2)),flip(a)]. 1029 L(x,y,(z \ u) * (u \ 1)) = L(x,y,z \ 1). [hyper(59,a,1007,a,b,1022,a)]. 1030 L(x,y,(K(z,u) * w) * v5) != v6 | L(x,y,w * v5) = v6. [para(222(a,2),992(a,1,3))]. 1031 L(x,y,T(z,u)) != w | L(x,y,z) = w. [para(470(a,2),992(a,1,3))]. 1033 L(x,y,z * u) != w | L(x,y,u * z) = w. [para(633(a,1),992(a,1,3))]. 1034 L(x,y,T(z,u) \ w) != v5 | L(x,y,z \ w) = v5. [para(533(a,1),992(a,1,3))]. 1037 L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. [para(997(a,1),992(a,1))]. 1038 L(x,y,L(T(z,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6. [para(20(a,2),1031(a,1,3))]. 1039 L(x,y,(z \ u) \ u) != w | L(x,y,z) = w. [para(89(a,1),1031(a,1,3))]. 1040 L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. [para(304(a,1),1031(a,1,3))]. 1043 L(x,y,z) = (y * z) \ (T(z,y) * (y * x)). [para(4(a,1),1004(a,2,1)),flip(a)]. 1046 L(x,y,z * T(u,w)) != v5 | L(x,y,z * u) = v5. [para(879(a,1),1037(a,1,3))]. 1047 (x * y) * L(z,x,y) = T(y,x) * (x * z). [hyper(99,a,1043,a,b,xx)]. 1049 L(x,y,z * (u \ (w \ u))) = L(x,y,w \ z). [para(673(a,1),1024(a,1,3,2))]. 1050 L(x,y,z * (1 / u)) = L(x,y,u \ z). [para(742(a,1),1024(a,1,3,2))]. 1051 L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). [hyper(1033,a,1049,a)]. 1052 L(x,y,(z / u) \ w) = L(x,y,(z \ u) * w). [para(73(a,1),1051(a,1,3,1,2)),flip(a)]. 1053 L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). [hyper(59,a,1001,a(flip),b,1052,a)]. 1054 L(x,y,(z \ u) \ 1) = L(x,y,u \ z). [para(3(a,1),1053(a,2,3))]. 1055 L(x,y,(z \ 1) \ u) = L(x,y,z * u). [para(61(a,1),1053(a,2,3,1))]. 1056 L(x,y,(z \ (z / u)) * w) = L(x,y,u \ w). [para(73(a,1),1053(a,1,3,1)),flip(a)]. 1057 L(x,y,z * (u \ (u / w))) = L(x,y,w \ z). [hyper(1033,a,1056,a)]. 1058 L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. [para(588(a,1),1034(a,1,3,1))]. 1060 L(x,y,(z \ 1) * u) != w | L(x,y,z \ u) = w. [para(997(a,1),1040(a,1))]. 1061 L(x,y,z * (1 / u)) != w | L(x,y,u \ z) = w. [para(1026(a,2),1040(a,1))]. 1062 L(x,y,(z \ 1) \ (u \ 1)) != w | L(x,y,u \ z) = w. [para(1055(a,2),1040(a,1))]. 1063 L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (w \ u)) = v5. [para(304(a,1),1046(a,1,3,2))]. 1064 L(x,y,z * ((1 / u) \ w)) != v5 | L(x,y,z * (w * u)) = v5. [para(588(a,1),1046(a,1,3,2))]. 1065 L(x,y,z * (T(u,w) \ v5)) = L(x,y,(u \ v5) * z). [hyper(1033,a,1002,a)]. 1066 L(x,y,z * (T(u,w) \ v5)) != v6 | L(x,y,z * (u \ v5)) = v6. [para(1065(a,2),1033(a,1))]. 1067 L(x \ (y / z),x,z \ 1) = ((1 / z) * x) \ ((z \ y) / z). [para(590(a,1),1013(a,1,1,2))]. 1068 L(x,y,(T(z,u) \ w) * v5) != v6 | L(x,y,(z \ w) * v5) = v6. [para(533(a,1),1030(a,1,3,1))]. 1069 L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(606(a,1),1030(a,1,3,1))]. 1070 L(x,y,((z / u) \ w) * v5) != v6 | L(x,y,((u \ z) \ w) * v5) = v6. [para(739(a,1),1030(a,1,3,1))]. 1072 L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(z * u) \ w) = v5. [para(1053(a,1),1058(a,1))]. 1073 L(x,y,z * ((u / w) \ v5)) != v6 | L(x,y,z * ((w \ u) \ v5)) = v6. [para(590(a,1),1066(a,1,3,2,1))]. 1074 L(x \ (y / z),x,z \ 1) = (x \ y) / z. [hyper(189,a,385,a(flip),b,1067,a),flip(a)]. 1075 L(x,y,((z / u) \ w) * v5) = L(x,y,(w * (z \ u)) * v5). [hyper(1068,a,1020,a)]. 1077 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * (v5 * (u \ w))). [hyper(1066,a,1028,a)]. 1078 L(x,y,((z \ u) \ w) * v5) = L(x,y,(w * (u \ z)) * v5). [hyper(1070,a,1075,a)]. 1079 L(x,y,(z * ((u * w) \ u)) * v5) = L(x,y,(w \ z) * v5). [para(4(a,1),1078(a,1,3,1,1)),flip(a)]. 1080 L(x,y,z * (u * (w \ v5))) != v6 | L(x,y,z * ((v5 \ w) \ u)) = v6. [para(1077(a,1),1073(a,1))]. 1081 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [hyper(59,a,835,a(flip),b,977,a)]. 1082 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (y \ (z * (u * x))) / x. [hyper(59,a,1074,a(flip),b,966,a),flip(a)]. 1083 ((x * y) \ (x * (y * z))) / z = a(z \ 1,x,y). [hyper(338,a,1082,a),flip(a)]. 1084 ((x \ 1) * y) \ (((x \ 1) * z) * 1) = (y \ (z * x)) / x. [para(2(a,1),1082(a,2,1,2,2))]. 1085 a(x \ 1,y,z) = L(x,z,y) / x. [para(13(a,2),1083(a,1,1)),flip(a)]. 1086 a(x \ 1,y,z) \ L(x,z,y) = x. [hyper(136,a,1085,a(flip))]. 1087 L(x,y,z \ L(z,u,w)) != v5 | L(x,y,a(z \ 1,w,u)) = v5. [para(1086(a,1),1039(a,1,3,1))]. 1088 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ (z * x)) / x. [hyper(201,a,1084,a)]. 1089 (x \ ((x * y) * z)) / z = L(y,x,z \ 1). [hyper(235,a,1088,a),flip(a)]. 1090 (x \ ((y * x) * z)) / z != u | L(T(y,x),x,z \ 1) = u. [para(1088(a,1),373(a,1))]. 1091 ((((1 / x) * (x * y)) * z) * x) / (z * x) = L(y,x,(z * x) \ 1). [para(370(a,2),1089(a,1,1))]. 1092 ((L(x,y,y) * z) * y) / (z * y) = L(x,y,(z * y) \ 1). [para(953(a,1),1091(a,1,1,1,1))]. 1093 R(L(x,y,y),z,y) = L(x,y,(z * y) \ 1). [hyper(59,a,15,a,b,1092,a)]. 1094 L(R(x,y,z),z,z) = L(x,z,(y * z) \ 1). [hyper(59,a,24,a(flip),b,1093,a)]. 1095 R(x,y,K(z,u)) = x. [hyper(37,a,456,a,b,1094,a),flip(a)]. 1096 R(x,y,K(z,u)) != w | x = w. [para(1095(a,1),47(a,2))]. 1097 (x * y) * K(z,u) = x * (y * K(z,u)). [para(1095(a,1),85(a,1,1)),flip(a)]. 1098 x \ (y * K(z,u)) = (x \ y) * K(z,u). [para(1095(a,1),243(a,1,1))]. 1099 K(x,R(y,z,u)) = K(x,y). [para(1095(a,1),893(a,1,2)),flip(a)]. 1100 T(x,R(y,z,u)) = x * K(x,y). [hyper(99,a,1099,a(flip),b,562,a(flip)),flip(a)]. 1101 K(x,y / (1 / z)) = K(x,y * z). [para(256(a,1),1099(a,1,2)),flip(a)]. 1102 K(x,y * (z \ 1)) = K(x,y / z). [para(282(a,1),1099(a,1,2))]. 1104 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(806(a,1),1099(a,1,2))]. 1105 T(x,R(y,z,u)) = T(x,y). [hyper(189,a,555,a,b,1100,a),flip(a)]. 1106 T(1 / (R(x,y,z) \ u),x) = R(x,y,z) / u. [hyper(686,a,1105,a),flip(a)]. 1107 T(R(x,y,z) \ u,x) = u / R(x,y,z). [hyper(625,a,1105,a),flip(a)]. 1108 T(x / y,R(y,z,u)) = y \ x. [hyper(225,a,1105,a)]. 1109 R(x,y,z) * T(u,x) = u * R(x,y,z). [hyper(99,a,1105,a(flip),b,17,a(flip))]. 1110 T(x,y * (z \ 1)) = T(x,y / z). [para(282(a,1),1105(a,1,2))]. 1111 T(x,y) * (R(y,z,u) \ 1) = R(y,z,u) \ x. [para(1105(a,1),439(a,1,1))]. 1112 T(x,y) * R(y,z,u) = R(y,z,u) * x. [para(1105(a,1),592(a,1,1))]. 1113 R(x,y,z) * (x \ u) = (u / x) * R(x,y,z). [hyper(99,a,1108,a(flip),b,17,a(flip))]. 1114 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(697(a,1),1101(a,1,2,2))]. 1115 K(x,y * (x \ 1)) = y \ (x * (y / x)). [hyper(189,a,80,a,b,1102,a),flip(a)]. 1116 K(x,(y \ x) \ x) = K(x,y). [hyper(189,a,550,a(flip),b,1104,a),flip(a)]. 1117 K(x,T(y / z,y)) = K(x,z \ y). [para(73(a,1),1104(a,1,2,1)),flip(a)]. 1118 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(89(a,2),1104(a,1,2))]. 1119 K(x,x / y) = K(x,y \ x). [para(73(a,1),1116(a,1,2,1)),flip(a)]. 1120 K(x * y,T(y,x)) = K(x * y,y). [para(732(a,2),1116(a,1,2))]. 1121 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(59,a,1102,a,b,1119,a)]. 1122 T(x,1 / y) = T(x,y \ 1). [para(2(a,1),1110(a,1,2)),flip(a)]. 1124 T(x,y / T(z,y)) = T(x,z \ y). [para(672(a,1),1110(a,1,2)),flip(a)]. 1125 L(T(x,y),y \ 1,y) = T(x,1 / y). [hyper(189,a,793,a,b,1122,a)]. 1126 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(99,a,1122,a(flip),b,17,a(flip))]. 1127 T(1 / x,y) \ y = (1 / x) \ T(y,x \ 1). [hyper(97,a,1122,a(flip),b,668,a),flip(a)]. 1128 T(x,(y \ 1) \ 1) = T(x,y). [para(70(a,1),1122(a,1,2)),flip(a)]. 1129 (1 / x) * (T(y,x \ 1) \ 1) = y \ (1 / x). [para(1122(a,1),672(a,1,2,1))]. 1130 T(x,y) * K(y * x,x) = R(x,y,x). [para(1120(a,1),518(a,1,2))]. 1131 T(L(x,y \ 1,y),y) = T(x,1 / y). [hyper(59,a,20,a(flip),b,1125,a)]. 1133 T(x,y) * K(x * y,x) = R(x,y,x). [para(808(a,1),1130(a,1,2))]. 1134 (x * (1 / y)) * y = L(x,y \ 1,y). [hyper(36,a,618,a,b,1131,a)]. 1135 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(785,a,1133,a)]. 1136 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(97,a,1133,a(flip),b,569,a),flip(a)]. 1137 T(x * (1 / y),y) = (y \ 1) * x. [hyper(156,a,1134,a,b,230,a)]. 1138 L(x,y \ 1,y) / y = x * (1 / y). [hyper(105,a,1134,a)]. 1140 (1 / x) * (y * (1 / x)) = ((x \ 1) * y) / x. [hyper(98,a,1137,a(flip),b,297,a(flip)),flip(a)]. 1141 T((1 / x) \ (y * (z * (1 / x))),x) = (x \ 1) * (((1 / (1 / x)) * y) * z). [para(370(a,1),1137(a,1,1))]. 1142 ((x \ 1) * y) * x = x * (y * (1 / x)). [para(1137(a,1),592(a,1,1))]. 1143 T(x * T(y / z,y),y \ z) = ((y \ z) \ 1) * x. [para(680(a,2),1137(a,1,1,2))]. 1144 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(1135(a,1),513(a,1,2)),flip(a)]. 1145 L((1 / x) * y,x \ 1,x) = x \ y. [hyper(383,a,1138,a),flip(a)]. 1146 x \ ((1 / x) \ y) = L(y,x \ 1,x). [para(5(a,1),1145(a,1,1)),flip(a)]. 1147 L(x,y \ 1,y) = L(x,y,y). [hyper(958,a,1146,a),flip(a)]. 1148 L(x * y,x,x) = (x \ 1) \ y. [hyper(845,a,1147,a),flip(a)]. 1149 x * ((x \ 1) * y) = L(y,x,x). [hyper(340,a,1147,a)]. 1150 L((x \ 1) \ y,x,x) = x * y. [hyper(279,a,1147,a),flip(a)]. 1151 (x * y) * (y \ 1) = L(x,y \ 1,y). [hyper(189,a,948,a,b,1147,a)]. 1152 (x * (1 / y)) * y = L(x,y,y). [hyper(59,a,1134,a,b,1147,a)]. 1153 L(T(x,y),y,y) = T(x,y \ 1). [hyper(59,a,793,a(flip),b,1147,a),flip(a)]. 1154 (x \ 1) * L(y,x,x) = x \ y. [hyper(99,a,1147,a(flip),b,846,a)]. 1155 L(x,y,y) / y = x * (1 / y). [hyper(98,a,1147,a(flip),b,1134,a)]. 1156 x \ L(y,x,x) = (x \ 1) * y. [hyper(97,a,1147,a(flip),b,230,a)]. 1158 (x * x) * ((x \ 1) \ y) = x * (x * (x * y)). [hyper(99,a,1148,a(flip),b,13,a(flip))]. 1159 L(x,y,y) * (1 / y) = x / y. [hyper(98,a,759,a(flip),b,1152,a),flip(a)]. 1160 ((x * (y * (1 / z))) * z) / L(y,z,z) = R(x,y * (1 / z),z). [para(1152(a,1),15(a,2,2)),flip(a)]. 1161 x * (L(y,x,x) \ 1) = T(y,x \ 1) \ x. [para(1153(a,1),669(a,1,1)),flip(a)]. 1162 (x \ y) / L(y,x,x) = x \ 1. [hyper(105,a,1154,a)]. 1164 x / y != z * (1 / y) | L(z,y,y) = x. [para(1155(a,1),42(a,1)),flip(a)]. 1165 x \ (y \ L(((y \ 1) \ x) * z,y,y)) = L(z,(y \ 1) \ x,y \ 1). [hyper(97,a,1156,a,b,229,a)]. 1166 L(x * y,y,y) = x / (1 / y). [hyper(98,a,6,a(flip),b,1159,a),flip(a)]. 1167 ((1 / x) \ 1) \ ((((1 / x) \ 1) * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(1159(a,1),964(a,2,1,2))]. 1168 (x \ y) / z != x \ 1 | L(y,x,x) = z. [para(1162(a,1),41(a,1)),flip(a)]. 1169 x * (x * (y / (1 / x))) = (x * x) * (y * x). [para(1166(a,1),760(a,1,2,2))]. 1170 R(x,y,y \ 1) = L(x,y \ 1,y). [hyper(253,a,1151,a)]. 1171 (x \ 1) \ (x \ y) = R(y,x,x \ 1). [hyper(189,a,846,a,b,1170,a)]. 1172 (x \ 1) * (y * (x \ 1)) = x \ (y / x). [hyper(99,a,282,a(flip),b,1171,a)]. 1173 x \ T(x * y,z) = y * K(x * y,z). [hyper(581,a,1097,a)]. 1174 (x * (y * K(z,u))) * K(u,z) = x * y. [hyper(557,a,1097,a)]. 1175 L(K(x,y),z,u) = K(x,y). [hyper(234,a,1097,a)]. 1176 (x * y) / K(z,u) = x * (y * K(u,z)). [hyper(59,a,544,a,b,1097,a)]. 1178 (x * (y * z)) * K(z,y) = x * (z * y). [para(78(a,1),1097(a,2,2))]. 1180 (x * (y \ 1)) * K(z,u) = x * (y \ K(z,u)). [para(460(a,1),1097(a,2,2))]. 1181 (x * T(y,z)) * K(z,y) = x * y. [para(526(a,1),1097(a,2,2))]. 1182 (x * y) * K(y,z) = x * T(y,z). [para(555(a,2),1097(a,2,2))]. 1183 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(519(a,1),1097(a,2,2))]. 1184 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(690(a,1),1097(a,2,2))]. 1185 a(x,y,K(z,u)) = 1. [hyper(49,a,1175,a)]. 1186 (x * y) * K(z,u) != w | x * (y * K(z,u)) = w. [para(1175(a,1),175(a,1,2))]. 1189 a(K(x,y),z,u) = a(w,v5,K(v6,v7)). [hyper(189,a,27,a,b,1185,a)]. 1190 x * a(y,z,K(u,w)) = x. [hyper(99,a,1185,a,b,62,a)]. 1191 a(x,y,K(z,u)) * w = w. [para(1185(a,2),2(a,1,1))]. 1192 K(a(x,y,K(z,u)),w) = 1. [para(1185(a,2),193(a,1,1))]. 1193 L(K(x,y),z,u) = K(x,y) * a(w,v5,K(v6,v7)). [hyper(189,a,1175,a,b,1190,a)]. 1194 L(x,y,K(z,u)) = x * a(w,v5,K(v6,v7)). [hyper(189,a,113,a,b,1190,a)]. 1195 L(K(x,y),z,u) * a(w,v5,K(v6,v7)) = K(x,y). [hyper(189,a,1175,a(flip),b,1190,a),flip(a)]. 1197 K(a(x,y,K(z,u)),w) = a(v5,v6,K(v7,v8)). [hyper(189,a,1185,a,b,1192,a),flip(a)]. 1198 (x * K(y,z)) / z = x / T(z,y). [hyper(287,a,1181,a)]. 1199 (x / T(y,z)) * y = x * K(z,y). [hyper(59,a,114,a(flip),b,1181,a),flip(a)]. 1200 K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u. [para(1181(a,1),502(a,1,1)),flip(a)]. 1202 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [para(1181(a,1),543(a,1,1)),flip(a)]. 1203 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(189,a,482,a,b,1182,a)]. 1204 x * T(x \ y,z) = y * K(x \ y,z). [hyper(59,a,115,a(flip),b,1182,a),flip(a)]. 1205 (x / y) * T(y,z) = x * K(y,z). [hyper(59,a,114,a(flip),b,1182,a),flip(a)]. 1206 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(97,a,1182,a(flip),b,453,a)]. 1209 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(1182(a,1),247(a,1,1))]. 1210 T(x,y) / y = x / T(y,x). [para(555(a,2),1198(a,1,1))]. 1211 x / T(y,x) = (1 / y) * x. [hyper(959,a,1210,a),flip(a)]. 1212 (x / y) * K(x,y) = T(x,y) / y. [hyper(189,a,491,a,b,1210,a)]. 1213 T(x,y) * (y / T(x,y)) = x * (y / x). [para(1210(a,1),706(a,1,2))]. 1215 (1 / T(x,y)) * y = y / x. [para(583(a,1),1211(a,1,2)),flip(a)]. 1216 K((1 / x) * y,z) = K(x \ y,z). [para(1211(a,1),891(a,1,1))]. 1217 T(x,(1 / y) * z) = T(x,y \ z). [para(1211(a,1),1124(a,1,2))]. 1218 1 / T(x \ y,y) = x / y. [hyper(98,a,70,a(flip),b,1215,a),flip(a)]. 1219 T(x \ y,y) = (x / y) \ 1. [hyper(136,a,1218,a),flip(a)]. 1220 1 / x != y / z | T(y \ z,z) = x. [para(1218(a,1),41(a,1)),flip(a)]. 1221 x \ ((y \ x) * x) = (y / x) \ 1. [hyper(651,a,1219,a)]. 1222 T((x / y) \ 1,y) = x \ y. [hyper(594,a,1219,a)]. 1223 x \ ((y / x) \ 1) = (y \ x) * (x \ 1). [hyper(97,a,1219,a(flip),b,610,a(flip))]. 1224 T((x * y) \ x,x) = T(y,x) \ 1. [para(582(a,2),1219(a,2,1))]. 1226 ((x / y) \ 1) \ y = y * ((x \ y) \ 1). [para(1219(a,1),667(a,1,1))]. 1227 T((x / y) \ 1,x) = 1 / (y \ x). [para(1219(a,1),722(a,1,1))]. 1228 a((x / y) \ 1,z,u) = a(x \ y,z,u). [para(1219(a,1),896(a,1,1))]. 1229 T((x / y) \ y,y) = ((y * y) \ x) \ 1. [para(940(a,1),1219(a,2,1))]. 1230 L(x,y,(z / u) \ 1) != w | L(x,y,z \ u) = w. [para(1219(a,1),1031(a,1,3))]. 1231 T((x / R(y,z,u)) \ 1,y) = x \ R(y,z,u). [hyper(59,a,1105,a(flip),b,1222,a)]. 1232 T(x \ 1,y) = (x * y) \ y. [para(6(a,1),1222(a,1,1,1))]. 1233 T(L(x / y,z,u) \ 1,y) = (y * L(y \ x,z,u)) \ y. [para(315(a,1),1222(a,1,1,1))]. 1234 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(436(a,2),1222(a,1,1,1))]. 1235 T(T(x,y) \ 1,y) = (y * x) \ y. [para(582(a,2),1222(a,1,1,1))]. 1236 T(x \ y,y) != z | (x / y) \ 1 = z. [para(1222(a,1),623(a,1,1))]. 1237 (x \ 1) * ((x \ y) \ 1) = T(y \ 1,x \ 1). [hyper(189,a,671,a(flip),b,1232,a)]. 1238 ((x / y) * K(z,y)) * y = x * K(z,y). [para(491(a,2),1199(a,1,1))]. 1239 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(1199(a,1),1182(a,1,1)),flip(a)]. 1240 T(x,y) = (y / x) \ ((x * y) / x). [hyper(97,a,517,a,b,1205,a),flip(a)]. 1242 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(59,a,549,a(flip),b,1212,a)]. 1243 K((x \ 1) \ y,z) = K(x * y,z). [para(70(a,1),1216(a,1,1,1)),flip(a)]. 1244 T(x,(1 / y) / z) = T(x,y \ (z \ 1)). [hyper(59,a,1110,a(flip),b,1217,a)]. 1245 (x \ y) \ x = (y \ x) * x. [hyper(34,a,679,a,b,1221,a)]. 1246 ((x * y) \ x) * x = y \ x. [para(4(a,1),1245(a,1,1)),flip(a)]. 1248 (x \ y) / y = (y * x) \ y. [hyper(105,a,1246,a)]. 1249 (x * (x / y)) \ x = y / x. [hyper(98,a,73,a(flip),b,1246,a),flip(a)]. 1250 a(x \ ((x * y) \ x),z,u) = a(x \ (x \ (y \ x)),z,u). [para(1248(a,1),901(a,1,1,2))]. 1251 ((x * y) \ x) * (x \ 1) = x \ (T(y,x) \ 1). [hyper(97,a,1224,a(flip),b,610,a(flip)),flip(a)]. 1252 T(x,y) != T(z,y) \ 1 | (y * z) \ y = x. [para(1224(a,1),45(a,1)),flip(a)]. 1253 1 / ((x \ y) \ y) = T(x \ 1,y). [para(70(a,1),1227(a,1,1,1)),flip(a)]. 1254 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1240(a,2),986(a,1,2,1)),flip(a)]. 1256 x \ ((y \ 1) \ x) = (y \ x) \ x. [hyper(32,a,676,a(flip),b,1253,a)]. 1257 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(108,a,1256,a)]. 1259 T(T(x * y,y),x) != z | ((1 / y) / x) \ 1 = z. [para(588(a,2),1236(a,1,1))]. 1260 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(78(a,1),1098(a,1,2)),flip(a)]. 1261 (x \ T(y,z)) * K(z,y) = x \ y. [para(526(a,1),1098(a,1,2)),flip(a)]. 1262 (x \ y) * K(y,z) = x \ T(y,z). [para(555(a,2),1098(a,1,2)),flip(a)]. 1263 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(519(a,1),1098(a,1,2)),flip(a)]. 1264 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(616(a,1),1098(a,1,2)),flip(a)]. 1265 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). [para(1097(a,1),1098(a,1,2))]. 1266 (x \ y) \ (x \ T(y,z)) = K(y,z). [para(1261(a,1),545(a,1,1))]. 1267 (x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u. [para(1261(a,1),512(a,1,1))]. 1268 L(x,y,z \ T(u,w)) = L(x,y,z \ u). [para(1261(a,1),1012(a,1,3)),flip(a)]. 1269 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(17(a,2),1262(a,1,1))]. 1270 K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). [para(1262(a,1),637(a,1,2))]. 1271 L(x,y,z \ T(u,w)) != v5 | L(x,y,z \ u) = v5. [para(1262(a,1),1037(a,1,3))]. 1272 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(1266(a,1),164(a,1,2))]. 1274 (x / R(y,z,u)) * y = y * (R(y,z,u) \ x). [para(1107(a,1),592(a,1,1))]. 1275 T((x / R(y,z,u)) \ 1,y) = (y * (R(y,z,u) \ x)) \ y. [para(1107(a,1),1235(a,1,1,1))]. 1276 R(x,y,z) = T(y * z,x) \ ((x * y) * z). [hyper(97,a,85,a(flip),b,1112,a),flip(a)]. 1277 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(99,a,892,a,b,1115,a(flip))]. 1278 L(x * (1 / y),y,y) = y \ T(x,y \ 1). [para(1126(a,1),952(a,1,1))]. 1279 (x \ 1) * T(x * y,x) = x * (y * (1 / x)). [hyper(59,a,965,a,b,1142,a)]. 1280 (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). [hyper(59,a,135,a(flip),b,1172,a)]. 1281 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(1243(a,2),1173(a,2,2))]. 1282 (x * K(y,z)) / u = x / (u * K(z,y)). [hyper(287,a,1174,a)]. 1283 T(x * (y * z),K(y,z)) = K(z,y) \ (x * (z * y)). [hyper(97,a,1178,a(flip),b,466,a),flip(a)]. 1284 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(156,a,1203,a(flip),b,329,a)]. 1286 T(K(x / y,z),x) = K(y \ x,z). [hyper(854,a,1204,a)]. 1287 K(x / y,z) * x = x * K(y \ x,z). [hyper(59,a,853,a,b,1204,a)]. 1288 K(T(x,y) \ z,x) = z \ ((x \ z) * x). [hyper(97,a,833,a(flip),b,1204,a(flip)),flip(a)]. 1291 K(x / y,x) = K(y \ x,x). [hyper(628,a,1286,a)]. 1292 K((x \ y) \ y,z) = T(K(x,z),y). [para(70(a,1),1286(a,1,1,1)),flip(a)]. 1293 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(59,a,885,a,b,1291,a)]. 1294 K(x * (y \ 1),x) = K(y \ x,x). [hyper(59,a,884,a,b,1291,a)]. 1295 K(T(x,y),z) = T(K(x,z),y). [hyper(59,a,886,a(flip),b,1292,a)]. 1296 K(T(x,x \ y),z) = T(K(x,z),y). [para(89(a,2),1292(a,1,1))]. 1297 K(T(x,y),y) = K(x,y). [hyper(189,a,575,a(flip),b,1295,a),flip(a)]. 1298 x \ (K(y,z) * x) = K(T(y,x),z). [hyper(189,a,17,a(flip),b,1295,a)]. 1299 x * K(T(y,x),z) = K(y,z) * x. [hyper(99,a,1295,a,b,17,a(flip))]. 1300 T(K(T(x,y),z),y) = K(x,z). [hyper(594,a,1295,a(flip))]. 1301 T(K(x,y),K(x,z)) = K(x,y). [para(564(a,1),1295(a,1,1)),flip(a)]. 1302 T(K(T(x,y),z),y) != u | K(x,z) = u. [para(1295(a,2),623(a,1,1))]. 1304 K(x / y,y) = K(y \ x,y). [para(90(a,1),1297(a,1,1)),flip(a)]. 1305 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(1297(a,1),524(a,1,1,1,2))]. 1308 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(99,a,1301,a(flip),b,465,a),flip(a)]. 1309 K(x,y) \ K(x,z) = K(x,z) * K(y,x). [hyper(97,a,1301,a(flip),b,637,a)]. 1311 x * K(x / y,y) = (y \ x) * y. [hyper(99,a,1304,a,b,79,a)]. 1312 K(x * (y \ 1),y) = K(y \ x,y). [hyper(59,a,884,a,b,1304,a)]. 1313 T(K(x,y),x * z) = K(T(x,z),y). [para(4(a,1),1296(a,1,1,2)),flip(a)]. 1314 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(35,a,545,a,b,1298,a)]. 1315 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(31,a,1174,a,b,1299,a)]. 1316 K(x,T(y,z)) = T(K(x,y),z). [hyper(711,a,1314,a),flip(a)]. 1317 x * K(y,T(z,x)) = K(y,z) * x. [para(1314(a,1),497(a,1,2)),flip(a)]. 1318 K(T(x,x \ y),z) = K(x,T(z,y)). [hyper(189,a,1296,a,b,1316,a)]. 1319 K(T(x,y),z) = K(x,T(z,y)). [hyper(189,a,1295,a,b,1316,a)]. 1320 K(T(x,y),T(z,y)) = K(x,z). [hyper(189,a,1300,a(flip),b,1316,a),flip(a)]. 1321 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(189,a,565,a(flip),b,1316,a)]. 1322 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(59,a,1118,a,b,1316,a)]. 1323 T(K(x,T(y,z)),z) = K(x,y). [hyper(594,a,1316,a(flip))]. 1324 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(99,a,1316,a(flip),b,562,a(flip))]. 1325 K(x,T(y,z)) * z = z * K(x,y). [para(1316(a,2),592(a,1,1))]. 1327 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(1316(a,2),782(a,1,2))]. 1328 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [para(1316(a,2),849(a,1,1))]. 1330 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,1117,a(flip),b,1319,a),flip(a)]. 1331 x * K(T(x,y),z) = T(x,T(z,y)). [hyper(99,a,1319,a,b,562,a(flip))]. 1332 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(563(a,1),1319(a,2,2))]. 1333 K(x,T(T(y,z),z)) = K(x,y). [hyper(59,a,1319,a(flip),b,1320,a)]. 1335 T(x,T(T(y,z),z)) = x * K(x,y). [hyper(99,a,1333,a(flip),b,562,a(flip)),flip(a)]. 1336 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [para(20(a,2),1333(a,1,2,1))]. 1337 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(30,a,570,a,b,1315,a),flip(a)]. 1338 K(x,T(y,z)) * K(y,u) = K(y,u) * K(x,T(y,z)). [para(574(a,1),1317(a,1,2,2)),flip(a)]. 1339 (x * y) * K(z,T(u,y)) = x * (K(z,u) * y). [para(1317(a,1),1097(a,2,2))]. 1340 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(59,a,1319,a(flip),b,1318,a)]. 1341 T(K(x,y),y * z) = K(x,T(y,z)). [para(4(a,1),1322(a,1,2,2)),flip(a)]. 1342 T(x,y) * K(K(x,y),z) = T(x,T(y,z)). [hyper(59,a,714,a,b,1324,a)]. 1343 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(144(a,1),1330(a,1,1))]. 1344 x * T(K(x,y),x * z) = T(x,T(y,z)). [para(1313(a,2),1331(a,1,2))]. 1345 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [hyper(99,a,1332,a(flip),b,562,a(flip))]. 1346 T(x,T(T(y,z),z)) = T(x,y). [hyper(189,a,555,a,b,1335,a),flip(a)]. 1347 T(x,y * K(z,y)) = T(x,T(y,z)). [para(516(a,1),1346(a,1,2,1)),flip(a)]. 1348 T(K(x,y),y * z) = T(K(x,y),z). [hyper(189,a,1316,a(flip),b,1341,a),flip(a)]. 1349 K(x,y) * T(K(y,x),z) = K(K(y,x),x * z). [para(1348(a,1),561(a,1,2))]. 1350 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(1316(a,2),1302(a,1))]. 1351 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(1323(a,1),1302(a,1))]. 1353 ((x / y) \ y) \ y = (x \ y) \ 1. [hyper(30,a,1257,a,b,1226,a(flip))]. 1355 x / ((y \ x) \ 1) = (y / x) \ x. [hyper(139,a,1353,a)]. 1356 a((x \ y) \ 1,z,u) = a(x / y,z,u). [para(1353(a,1),898(a,1,1))]. 1357 ((x / y) / x) \ x = x / (y \ 1). [para(73(a,1),1355(a,1,2,1)),flip(a)]. 1358 ((x \ 1) \ y) \ y = (y / x) / y. [hyper(748,a,1357,a)]. 1359 (x / (1 / y)) / x = (y \ x) \ x. [para(73(a,1),1358(a,1,1,1)),flip(a)]. 1360 ((x \ y) \ y) * y = y / (1 / x). [hyper(106,a,1359,a)]. 1361 T(x,x \ y) * y = y / (1 / x). [hyper(59,a,185,a,b,1360,a)]. 1362 x * (x * (y / x)) = y / (1 / x). [hyper(59,a,812,a(flip),b,1361,a)]. 1363 x \ (y / (1 / x)) = x * (y / x). [hyper(97,a,1361,a(flip),b,812,a(flip))]. 1365 (x * y) / (1 / y) = y * (y * x). [para(6(a,1),1362(a,1,2,2)),flip(a)]. 1366 (x \ 1) * (y / (x \ 1)) = (x \ 1) \ (y / x). [para(70(a,1),1363(a,1,2,2)),flip(a)]. 1367 a(x \ (y \ x),z,u) = a(y \ 1,z,u). [para(70(a,1),1228(a,1,1,1)),flip(a)]. 1368 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(181(a,1),1238(a,2,2))]. 1370 T(x \ (y * z),K(z,y)) = K(y,z) * (x \ (z * y)). [hyper(156,a,1260,a,b,471,a)]. 1372 L(x,y,z \ (T(u / w,u) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [para(685(a,1),1268(a,1,3,2)),flip(a)]. 1374 x / (K(y,z) * K(u,w)) = x * (K(w,u) * K(z,y)). [hyper(59,a,1176,a(flip),b,1282,a),flip(a)]. 1375 T(x * y,K(z,y)) = T(x,K(y,z)) * y. [hyper(692,a,1284,a)]. 1377 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(189,a,79,a(flip),b,1288,a),flip(a)]. 1378 K(x \ (T(x,y) * z),x) = K(z,x). [hyper(59,a,321,a(flip),b,1377,a),flip(a)]. 1379 K(K(x,y) * z,x) = K(z,x). [para(712(a,1),1378(a,1,1))]. 1381 K(x,K(x,y) * z) = K(z,x) \ 1. [para(1379(a,1),499(a,1,1)),flip(a)]. 1382 K(x * K(y,z),y) = K(x,y). [para(1325(a,1),1379(a,1,1))]. 1383 K(x \ T(y,z),y) = K(x \ y,y). [para(1262(a,1),1382(a,1,1))]. 1384 K(x \ (y * z),z) = K(x \ (z * y),z). [para(1260(a,1),1382(a,1,1)),flip(a)]. 1385 K(x,K(x,y) * z) = K(x,z). [hyper(189,a,499,a(flip),b,1381,a),flip(a)]. 1386 K(x,K(y,x) * z) = K(x,z). [para(29(a,1),1385(a,1,2,1))]. 1387 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(448(a,1),1385(a,1,2)),flip(a)]. 1388 K(x,y * K(x,z)) = K(x,y). [para(1325(a,1),1385(a,1,2))]. 1389 K(x,y \ K(z,x)) = K(x,y \ 1). [para(556(a,1),1388(a,1,2)),flip(a)]. 1390 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(1098(a,2),1388(a,1,2))]. 1391 K(x,y * (z * K(u,x))) = K(x,y * z). [para(1174(a,1),1388(a,1,2)),flip(a)]. 1392 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [hyper(99,a,1308,a(flip),b,712,a)]. 1394 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(1321(a,1),599(a,1))]. 1395 K(x,K(y,T(z,u))) != w | T(K(x,K(y,z)),u) = w. [para(1316(a,2),1394(a,1,2))]. 1396 T(x,y) * K(z,K(x,y)) = T(x,T(y,z)). [para(29(a,1),1342(a,1,2))]. 1398 T(x,T(y,x * z)) = T(x,T(y,z)). [hyper(59,a,1324,a(flip),b,1344,a)]. 1399 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(5(a,1),1398(a,1,2,2)),flip(a)]. 1400 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [hyper(189,a,897,a(flip),b,1356,a),flip(a)]. 1401 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(78(a,1),1387(a,1,2,1)),flip(a)]. 1402 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(1197(a,1),1391(a,1,2,2,2))]. 1405 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(59,a,1308,a(flip),b,1136,a)]. 1406 L(x * (1 / y),y,y) = (y \ 1) * T(x,y). [hyper(189,a,724,a(flip),b,1278,a),flip(a)]. 1407 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(5(a,1),1405(a,1,1,1)),flip(a)]. 1408 L(x,y,y) != (y \ 1) * T(z,y) | z * (1 / y) = x. [para(1406(a,1),46(a,1)),flip(a)]. 1409 x / (x * (R(x,y,z) \ u)) = R(x,y,z) / u. [hyper(775,a,1106,a)]. 1410 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(420,a,1113,a),flip(a)]. 1411 R(x,y,z) / x = x \ R(x,y,z). [hyper(59,a,300,a(flip),b,1410,a)]. 1412 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(106,a,1411,a)]. 1413 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(1411(a,1),259(a,1,1))]. 1414 R(x,y,z) != u * x | x \ R(x,y,z) = u. [para(1412(a,1),40(a,1))]. 1415 (1 / x) \ T(y,x \ 1) = y * x. [hyper(59,a,670,a(flip),b,1127,a),flip(a)]. 1416 T(T(x,y \ 1) \ 1,y) = (x \ (1 / y)) * y. [para(1129(a,1),297(a,2,1))]. 1417 (((x \ 1) \ 1) \ y) * (1 / x) = ((x \ 1) * y) / x. [hyper(59,a,749,a,b,1140,a)]. 1419 (x * x) * ((y * x) * x) = x * (x * (x * (x * y))). [para(1365(a,1),1169(a,1,2,2)),flip(a)]. 1420 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(1184(a,1),40(a,1)),flip(a)]. 1421 a(x,y,K(z,u)) = K(w,v5) * L(K(v5,w),v6,v7). [hyper(99,a,1193,a,b,498,a),flip(a)]. 1423 L(x,y,((z * T(u,w)) \ v5) * v6) = L(x,y,((z * u) \ v5) * v6). [para(1200(a,1),994(a,1,3,1)),flip(a)]. 1424 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(59,a,660,a(flip),b,1202,a),flip(a)]. 1425 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(156,a,1284,a(flip),b,1424,a(flip))]. 1426 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(218,a,1425,a)]. 1427 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(692,a,1426,a)]. 1428 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(59,a,736,a(flip),b,1206,a),flip(a)]. 1429 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(59,a,678,a(flip),b,1234,a),flip(a)]. 1430 ((x * y) \ x) * (x \ 1) = y \ (x \ 1). [para(4(a,1),1429(a,1,1)),flip(a)]. 1432 L(x,y,(z * u) \ 1) = L(x,y,u \ (z \ 1)). [para(1430(a,1),1029(a,1,3)),flip(a)]. 1433 T(x \ y,y \ 1) = (y \ T(x,y)) \ 1. [hyper(156,a,678,a(flip),b,1237,a)]. 1434 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [hyper(30,a,610,a(flip),b,1237,a)]. 1435 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [para(73(a,1),1434(a,1,2,1)),flip(a)]. 1436 ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). [para(745(a,1),1434(a,1,2)),flip(a)]. 1437 (T(x,y \ 1) \ 1) * (y \ 1) = (x * y) \ 1. [para(1415(a,1),1435(a,1,1)),flip(a)]. 1438 (((x \ 1) * y) \ 1) * (1 / x) = y \ 1. [para(4(a,1),1436(a,1,1)),flip(a)]. 1439 (((x \ 1) \ 1) \ y) \ 1 = (y \ 1) * x. [para(70(a,1),1436(a,2,2))]. 1440 (x \ 1) / (1 / y) = ((y \ 1) * x) \ 1. [hyper(105,a,1438,a)]. 1441 (x \ 1) * (((x \ 1) * y) \ 1) = T(y \ 1,x). [para(1438(a,1),1137(a,1,1)),flip(a)]. 1442 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. [hyper(139,a,1439,a)]. 1443 (((x \ 1) \ 1) * y) \ 1 = (y \ 1) / x. [para(70(a,1),1440(a,1,2)),flip(a)]. 1444 ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). [para(73(a,1),1442(a,1,2,1)),flip(a)]. 1445 (x \ 1) / (y \ 1) = ((1 / y) * x) \ 1. [para(745(a,1),1443(a,1,1,1)),flip(a)]. 1446 ((1 / x) * (1 / y)) \ 1 = y / (x \ 1). [para(73(a,1),1445(a,1,1)),flip(a)]. 1447 (((1 / x) * (1 / y)) * (z * (y / (x \ 1)))) * ((1 / x) * (1 / y)) = ((1 / x) * (1 / y)) * z. [para(1446(a,1),431(a,1,1,2,2))]. 1448 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) * (1 / y)). [para(1446(a,1),610(a,2,2,2)),flip(a)]. 1449 x \ (T(y,x) \ 1) = y \ (x \ 1). [hyper(59,a,1430,a(flip),b,1251,a),flip(a)]. 1450 x \ (x \ (y \ x)) = y \ (x \ 1). [para(673(a,1),1449(a,1,2))]. 1451 (x * y) \ ((x * y) \ y) = x \ ((x * y) \ 1). [para(4(a,1),1450(a,1,2,2))]. 1452 L(x,y,z \ (u / w)) != v5 | L(x,y,z \ (w \ u)) = v5. [para(1263(a,1),1037(a,1,3))]. 1454 x * R(y,x,y) = T(y * x,y). [hyper(99,a,1133,a(flip),b,1269,a(flip))]. 1455 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(97,a,1454,a(flip),b,1109,a)]. 1457 x \ T(y * z,y) != T(z,y) | R(y,z,y) = x. [para(1455(a,1),44(a,1)),flip(a)]. 1458 (x \ 1) * (y / (x \ 1)) = x * (y * (1 / x)). [para(432(a,1),1279(a,1,2))]. 1459 x \ ((y * (z * x)) / x) = (x \ y) * L(z,x,x). [para(948(a,1),1280(a,1,2)),flip(a)]. 1460 L(x,y,z \ ((u * w) / z)) = L(x,y,(z \ u) * (z \ w)). [para(1280(a,1),1027(a,1,3))]. 1461 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(98,a,1281,a,b,1287,a)]. 1462 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(470(a,2),1328(a,2,2))]. 1463 L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). [para(1328(a,1),991(a,1,3))]. 1464 K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). [para(129(a,1),1462(a,1,1,2))]. 1465 K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). [para(1301(a,1),1462(a,1,1,2))]. 1466 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [para(20(a,2),1336(a,1,2))]. 1467 (T(x,y) * z) * K(y,T(x,z)) = x * z. [hyper(189,a,532,a(flip),b,1339,a),flip(a)]. 1468 K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). [hyper(97,a,1467,a(flip),b,453,a),flip(a)]. 1469 T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). [hyper(189,a,1426,a(flip),b,1345,a),flip(a)]. 1470 K(x,K(y,z)) = K(z,K(x,y)). [hyper(30,a,1396,a,b,1469,a),flip(a)]. 1471 K(K(x,y),z) = K(x,K(y,z)). [hyper(30,a,1342,a,b,1469,a)]. 1472 K(x,K(y,z)) = K(y,K(x,z)). [hyper(694,a,1470,a)]. 1474 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,693,a,b,1470,a)]. 1475 x * K(y,K(z,x)) = T(x,K(y,z)). [hyper(99,a,1470,a,b,562,a(flip))]. 1476 K(x,K(y,z)) * y = T(y,K(z,x)). [para(1470(a,1),470(a,2,1)),flip(a)]. 1480 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(1470(a,2),694(a,1))]. 1481 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(1470(a,1),1321(a,1,2))]. 1482 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(99,a,1471,a(flip),b,584,a)]. 1483 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(1471(a,1),645(a,1))]. 1484 K(x,K(y,z)) * z = T(z,K(y,x)). [para(1471(a,1),492(a,1,1))]. 1485 (x * K(y,z)) / x = K(y,z) * K(y,K(x,z)). [hyper(99,a,1472,a,b,546,a(flip)),flip(a)]. 1486 K(x,K(y,z)) * y = T(y,K(x,z)). [para(1472(a,1),470(a,2,1)),flip(a)]. 1487 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(1472(a,1),694(a,1))]. 1488 K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). [hyper(189,a,1327,a,b,1474,a)]. 1489 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(1474(a,1),580(a,1,2))]. 1490 K(x,K(y,z)) * (K(y,x) * u) = T(K(y,x),z) * u. [para(1474(a,1),494(a,1,1))]. 1491 K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). [para(1385(a,2),1474(a,1,2))]. 1493 K(x,y) * K(y,T(x,z)) != u | K(y,K(x,z)) = u. [para(1327(a,2),1480(a,1))]. 1494 K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). [para(1481(a,1),490(a,1,1))]. 1495 K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). [para(1491(a,1),1484(a,1,1))]. 1496 K(K(x,y),y * z) = K(K(x,y),z). [hyper(644,a,1349,a),flip(a)]. 1497 K(x * y,K(x,z)) = K(K(z,x),y). [hyper(720,a,1496,a)]. 1498 K(x * y,K(x,z)) = K(z,K(x,y)). [hyper(189,a,1471,a(flip),b,1497,a),flip(a)]. 1499 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(189,a,691,a(flip),b,1497,a),flip(a)]. 1500 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(1480,a,1498,a)]. 1501 K(x,K(y,y \ z)) = K(z,K(y,x)). [para(5(a,1),1498(a,1,1)),flip(a)]. 1502 T(x,K(y,y * z)) = x * K(z,K(y,x)). [para(1499(a,1),1482(a,1,2)),flip(a)]. 1503 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(1121(a,1),1500(a,1,2)),flip(a)]. 1504 K(x,K(x \ y,z)) = K(y,K(x,z)). [hyper(1487,a,1501,a)]. 1505 K(x * y,K(y,z)) = K(z,K(y,x)). [para(551(a,1),1501(a,1,2)),flip(a)]. 1506 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,1472,a,b,1504,a),flip(a)]. 1508 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,1474,a,b,1505,a),flip(a)]. 1510 K(x,K(y \ x,z)) = K(y,K(y \ x,z)). [para(5(a,1),1508(a,1,1))]. 1511 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(189,a,1482,a(flip),b,1502,a),flip(a)]. 1512 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(189,a,1475,a(flip),b,1502,a),flip(a)]. 1513 T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. [para(1502(a,2),1489(a,1))]. 1514 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(692,a,1511,a)]. 1515 T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). [hyper(59,a,1427,a(flip),b,1511,a),flip(a)]. 1516 T(x,K(y,z * y)) = T(x,K(z,y)). [para(807(a,2),1512(a,1,2))]. 1517 T(x * (y * z),K(y,y * z)) = T(x,K(y,z)) * (y * z). [para(1514(a,1),1375(a,2,1))]. 1518 K(x,K(y \ x,z)) = K(y,K(x,z)). [hyper(189,a,1506,a(flip),b,1510,a),flip(a)]. 1519 K(x,K(y \ x,z)) = K(x,K(y,z)). [hyper(189,a,1504,a(flip),b,1510,a),flip(a)]. 1520 K(x,K(y,z \ y)) = K(z,K(y,x)). [hyper(1483,a,1518,a)]. 1521 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(1483,a,1519,a)]. 1522 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(189,a,1474,a,b,1520,a),flip(a)]. 1523 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(59,a,1503,a,b,1522,a)]. 1524 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(1523(a,1),1486(a,1,1)),flip(a)]. 1525 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,1476,a(flip),b,1524,a),flip(a)]. 1527 L(R(x,y,z),z,z) = L(x,z,z \ (y \ 1)). [hyper(59,a,1094,a,b,1432,a)]. 1528 L(R(x,y,z),z,z) = L(x,z,(z \ 1) * (y \ 1)). [hyper(189,a,1025,a,b,1527,a),flip(a)]. 1529 L(R(x,y,z \ 1),z \ 1,z \ 1) != u | L(x,z \ 1,y \ z) = u. [para(1527(a,2),1062(a,1))]. 1530 T(T(x,y \ 1) \ 1,y) = y * ((x * y) \ 1). [hyper(99,a,1437,a(flip),b,598,a),flip(a)]. 1531 (x \ 1) \ (y / x) = x * (y * (1 / x)). [hyper(59,a,1366,a(flip),b,1458,a)]. 1532 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(32,a,500,a,b,1461,a)]. 1533 L(x,y,z * (T(u,w) * v5)) = L(x,y,z * (u * v5)). [para(480(a,1),1463(a,1,3,2))]. 1534 L(x,y,(z \ K(u,w)) * v5) = L(x,y,(z \ 1) * v5). [para(463(a,1),1463(a,1,3))]. 1535 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(1267(a,1),1463(a,1,3))]. 1538 K(x,L(T(y * z,y),u,w)) = K(x,L(z / (y \ 1),u,w)). [para(587(a,1),1466(a,1,2,1,1))]. 1539 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ T(y,z),y)). [para(1261(a,1),1485(a,1,1))]. 1540 (x \ (1 / y)) * y = y * ((x * y) \ 1). [hyper(59,a,1416,a(flip),b,1530,a)]. 1541 T(x \ (1 / y),y) = (x * y) \ 1. [hyper(156,a,1416,a(flip),b,1530,a(flip))]. 1542 T((x * y) \ 1,y) = x \ (1 / y). [hyper(594,a,1541,a)]. 1543 T(x,y) != (z * y) \ 1 | z \ (1 / y) = x. [para(1541(a,1),45(a,1)),flip(a)]. 1544 ((x * y) \ 1) * y = y * (x \ (1 / y)). [para(1541(a,1),592(a,1,1))]. 1545 ((x \ 1) * (y * x)) \ 1 = (x \ 1) \ (y \ (1 / x)). [hyper(97,a,1542,a(flip),b,1441,a),flip(a)]. 1546 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(1144(a,1),482(a,1,1)),flip(a)]. 1548 L(x,y,(z \ u) \ 1) != w | L(x,y,u \ z) = w. [para(1001(a,1),1230(a,1))]. 1552 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(1194(a,2),1402(a,1,2,2))]. 1553 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [para(81(a,1),1552(a,1,2)),flip(a)]. 1554 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(189,a,1428,a(flip),b,1407,a),flip(a)]. 1555 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(4(a,1),1554(a,1,2,2)),flip(a)]. 1556 x \ R(x,T(y,x),x) = a(x,y,x). [para(148(a,1),1555(a,1,2)),flip(a)]. 1557 x \ R(x,y,x) = a(x,y,x). [para(825(a,1),1556(a,1,2))]. 1558 R(x,y,x) / x = a(x,y,x). [hyper(59,a,1411,a,b,1557,a)]. 1559 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(59,a,1405,a,b,1557,a)]. 1560 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(59,a,1136,a,b,1557,a)]. 1562 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(505,a,1559,a)]. 1563 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(1559(a,1),497(a,1,2,1))]. 1564 a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. [para(1559(a,1),512(a,1,1))]. 1565 K(x,x \ y) * K(y,x) = a(x,x \ y,x). [para(5(a,1),1560(a,1,2,1))]. 1566 K(x,y) \ a(x,y,x) != z | K(x * y,x) = z. [para(1560(a,1),198(a,1,2))]. 1567 K(x,y) * (a(y,x,y) * z) = K(y * x,y) * z. [para(1560(a,1),497(a,1,2,1))]. 1568 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [para(1560(a,1),512(a,1,1))]. 1569 (x * y) * a(y,x,y) = T(y * x,y). [para(1560(a,1),560(a,1,2))]. 1570 K(x,x \ (y \ (x * z))) * K(y \ (z * x),x) = a(x,x \ (y \ (x * z)),x). [para(1384(a,2),1565(a,1,2))]. 1571 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ ((x * ((y * z) * x)) / x). [para(28(a,1),1459(a,1,2,1)),flip(a)]. 1572 L(R(x,y,z),z,z) = L(x,z,y \ (z \ 1)). [hyper(189,a,1007,a(flip),b,1528,a),flip(a)]. 1573 L(R(x,y,z),z,z) != u | L(x,z,y \ (z \ 1)) = u. [para(1528(a,2),1040(a,1))]. 1574 L(R(x,y \ z,u),u,u) = L(x,u,(z \ y) * (u \ 1)). [hyper(189,a,1053,a(flip),b,1572,a),flip(a)]. 1575 L(x,y,z \ ((u \ w) \ z)) != v5 | L(x,y,w \ u) = v5. [para(1022(a,2),1548(a,1))]. 1576 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(97,a,471,a(flip),b,1564,a),flip(a)]. 1577 a(x,y,x) * (y * x) = T(x * y,x). [hyper(30,a,850,a(flip),b,1567,a),flip(a)]. 1579 K(x,x * y) * (K(y,x) * z) = a(x,y,x) \ z. [hyper(97,a,471,a(flip),b,1568,a),flip(a)]. 1580 K(x,y) * T(z \ (y * x),K(y,y * x)) = a(y,x,y) \ (z \ T(y * x,y)). [para(1270(a,1),1576(a,1,2))]. 1581 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [para(513(a,1),1114(a,1,2))]. 1582 T(x * y,x) / x = y * a(x,y,x). [para(1560(a,1),1242(a,1,2)),flip(a)]. 1583 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(59,a,984,a,b,1582,a)]. 1584 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(5(a,1),1582(a,1,1,1)),flip(a)]. 1585 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(1582(a,1),90(a,1,1))]. 1586 (x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w). [para(13(a,2),1265(a,2,1))]. 1587 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(189,a,788,a(flip),b,1283,a),flip(a)]. 1588 T((x * y) / x,z) \ y = K(y,x) * K(z,T(y,x)). [hyper(59,a,858,a,b,1338,a)]. 1589 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(31,a,85,a(flip),b,1368,a),flip(a)]. 1590 x * (K(y,z) * K(z,z * y)) = x / a(z,y,z). [para(1559(a,1),1374(a,1,2)),flip(a)]. 1591 L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. [hyper(1164,a,1417,a(flip))]. 1592 ((x \ 1) \ 1) \ T(y,x) = y * (1 / x). [hyper(1408,a,1591,a),flip(a)]. 1593 ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). [para(583(a,1),1592(a,1,2))]. 1594 (x \ 1) \ (x * y) = (y * x) * x. [hyper(30,a,1158,a,b,1419,a)]. 1595 (x \ 1) * (y * x) = x * (y / x). [hyper(290,a,1594,a)]. 1596 (x \ 1) * ((x * x) * y) = x * y. [hyper(99,a,938,a(flip),b,1594,a)]. 1597 (x \ 1) \ (y * x) = (x * y) * x. [hyper(97,a,601,a(flip),b,1595,a)]. 1598 L((x * x) * y,x,x) = x * (x * y). [hyper(99,a,1596,a(flip),b,1156,a),flip(a)]. 1599 x / ((y * y) \ 1) = y * (y * x). [hyper(773,a,1598,a)]. 1600 (x * (x * y)) \ y = (x * x) \ 1. [hyper(136,a,1599,a)]. 1601 (x * (y * y)) \ x = (y * y) \ 1. [para(751(a,2),1600(a,1,1))]. 1602 (x * (y * y)) \ x = y \ (y \ 1). [hyper(189,a,682,a(flip),b,1601,a),flip(a)]. 1603 ((x * x) \ y) / y = (x * x) \ 1. [hyper(59,a,1248,a,b,1601,a)]. 1604 (x \ (x \ 1)) * y = (x * x) \ y. [para(1602(a,1),1246(a,1,1))]. 1605 L(x,y * y,y * y) = x. [hyper(1168,a,1603,a)]. 1606 T(x,(y * y) \ 1) = T(x,y * y). [hyper(59,a,1153,a(flip),b,1605,a)]. 1607 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(97,a,4,a(flip),b,1604,a)]. 1609 T(x,(y * y) \ 1) = L(x,y,y). [hyper(189,a,752,a(flip),b,1606,a),flip(a)]. 1610 T(x,y \ (y \ 1)) = L(x,y,y). [para(682(a,1),1609(a,1,2))]. 1611 (x \ (x \ 1)) \ (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [hyper(189,a,961,a(flip),b,1607,a),flip(a)]. 1612 T(K(x,y),z) * T(y,x) = K(y,K(x,z)) * y. [para(472(a,1),1490(a,1,2)),flip(a)]. 1613 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(189,a,470,a,b,1612,a),flip(a)]. 1614 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [para(1316(a,2),1613(a,1,1))]. 1615 T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). [hyper(59,a,834,a,b,1614,a)]. 1616 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(777(a,1),1615(a,1,1))]. 1617 K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). [para(1316(a,2),1494(a,1,2))]. 1618 L(x,y,z * (T(u,w) * v5)) = L(x,y,(u * v5) * z). [hyper(189,a,997,a,b,1533,a),flip(a)]. 1619 L(x,y,(z \ K(u,w)) * v5) = L(x,y,z \ v5). [hyper(189,a,1025,a(flip),b,1534,a),flip(a)]. 1620 L(x,y,z * (u \ K(w,v5))) = L(x,y,u \ z). [hyper(1033,a,1619,a)]. 1621 L(x,y,z \ (K(u,w) * v5)) = L(x,y,v5 * (z \ K(v6,v7))). [hyper(1030,a,1620,a),flip(a)]. 1622 L(x,y,(z \ (u * (w \ 1))) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(304(a,1),1535(a,1,3,1,2))]. 1624 (x \ 1) \ (y \ (1 / x)) = (x * (y / x)) \ 1. [para(1595(a,1),1545(a,1,1)),flip(a)]. 1625 L((x * (y / x)) \ 1,x,x) = x * (y \ (1 / x)). [para(1624(a,1),1150(a,1,1))]. 1626 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(477(a,2),1553(a,1,2,1)),flip(a)]. 1627 K(x,T(y,z) * z) = K(x,z * y). [para(633(a,1),1626(a,1,2)),flip(a)]. 1628 K(x,((y * z) / y) * u) = K(x,T(z,y) * u). [para(634(a,1),1626(a,1,2))]. 1629 K(x,L(y \ z,u,w) * y) = K(x,y * L(z / y,u,w)). [para(161(a,1),1627(a,1,2,1))]. 1630 K(x,y) * K(L(x,z,u) * y,T(x,y)) = L(x,y,L(x,z,u)) \ x. [para(907(a,1),1588(a,1,1)),flip(a)]. 1631 L(x,y,(z * u) * w) = L(x,y,w * (u * z)). [para(592(a,1),1618(a,1,3,2)),flip(a)]. 1632 L(x,y,z * (((u * w) \ u) * v5)) = L(x,y,(w \ v5) * z). [hyper(59,a,1079,a(flip),b,1631,a),flip(a)]. 1633 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(59,a,1239,a(flip),b,1546,a)]. 1634 L(R(x,y \ z,u),u,u) != w | L(x,u,u \ (z \ y)) = w. [para(1574(a,2),1040(a,1))]. 1635 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1420,a,1589,a),flip(a)]. 1636 R(x / (1 / y),y \ 1,y) = x * y. [hyper(195,a,1635,a),flip(a)]. 1637 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(826(a,1),1636(a,1,1))]. 1638 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(1186,a,1633,a)]. 1639 R(L(x / (y \ 1),z,u) * K(y \ 1,y),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(309(a,1),1637(a,2,1))]. 1640 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(59,a,1590,a(flip),b,1638,a),flip(a)]. 1641 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(98,a,6,a(flip),b,1640,a),flip(a)]. 1642 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(106,a,1641,a)]. 1643 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(59,a,1113,a,b,1642,a)]. 1644 (x * y) * a(y,z,y) = x * R(y,z,y). [para(6(a,1),1642(a,1,1)),flip(a)]. 1646 x \ (R(x,y,x) * z) = z * a(x,y,x). [hyper(59,a,418,a,b,1643,a)]. 1649 a(x \ (x \ (y \ x)),z,u) = a((x * y) \ 1,z,u). [hyper(59,a,1367,a(flip),b,1250,a),flip(a)]. 1651 a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u). [para(1450(a,1),1649(a,1,1)),flip(a)]. 1652 (x * (R(x,y,z) \ u)) \ x = u \ R(x,y,z). [hyper(59,a,1231,a(flip),b,1275,a),flip(a)]. 1653 (R(x,y,z) * u) \ R(x,y,z) = (x * u) \ x. [para(4(a,1),1652(a,1,1,2)),flip(a)]. 1654 ((x * y) \ x) * R(x,z,u) = y \ R(x,z,u). [para(1653(a,1),1246(a,1,1))]. 1655 L(x,y,z \ (z \ (u * w))) = L(x,y,(z \ u) * (z \ w)). [hyper(1452,a,1460,a)]. 1656 K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). [para(1319(a,1),1468(a,1,1))]. 1657 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(59,a,1465,a(flip),b,1495,a),flip(a)]. 1658 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). [hyper(692,a,1657,a)]. 1659 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). [para(29(a,1),1658(a,2,2,2))]. 1660 T(x * (y * z),K(y,z)) = T(x,K(y,z)) * (y * z). [hyper(1513,a,1517,a)]. 1661 T(x,K(y,z)) * (y * z) = (y * z) * T(x,z * y). [hyper(59,a,1587,a(flip),b,1660,a),flip(a)]. 1662 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(31,a,153,a(flip),b,1661,a),flip(a)]. 1663 T(x,T(y * z,y)) = T(x,z * y). [hyper(59,a,1515,a(flip),b,1662,a)]. 1664 K(x,T(y * z,y)) = x \ T(x,z * y). [hyper(97,a,1663,a(flip),b,555,a(flip)),flip(a)]. 1665 T(x,(y \ z) * y) = T(x,T(z,y)). [para(5(a,1),1663(a,1,2,1)),flip(a)]. 1666 T(x,y / (z \ 1)) = T(x,y * z). [para(432(a,1),1663(a,1,2))]. 1667 K(T(x * y,x),z) = z / T(z,y * x). [para(1663(a,1),483(a,2,2))]. 1668 T(x,y * (z / y)) = T(x,T(z,y)). [para(607(a,1),1665(a,1,2))]. 1669 T(x,y * (1 / z)) = T(x,y / z). [para(73(a,1),1666(a,1,2,2)),flip(a)]. 1670 T(x,T(y * z,z)) = T(x,z * y). [para(6(a,1),1668(a,1,2,2)),flip(a)]. 1671 T(x,(1 / y) \ z) = T(x,y * z). [para(588(a,1),1670(a,1,2))]. 1672 T(x,(y \ 1) * z) = T(x,y \ z). [para(70(a,1),1671(a,1,2,1)),flip(a)]. 1673 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(59,a,1110,a(flip),b,1672,a)]. 1674 K(x,T(y * z,y)) = K(x,z * y). [hyper(189,a,562,a,b,1664,a),flip(a)]. 1675 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(1664(a,2),567(a,1))]. 1676 K(x,y * z) * y = y * K(x,z * y). [para(1674(a,1),1317(a,1,2)),flip(a)]. 1677 K(T(x * y,x),z) = K(y * x,z). [hyper(189,a,483,a,b,1667,a),flip(a)]. 1678 K(x * y,T(z,y)) = K(y * x,z). [hyper(1350,a,1677,a),flip(a)]. 1679 K(x * y,z) * x = x * K(y * x,z). [hyper(99,a,1677,a(flip),b,1298,a),flip(a)]. 1680 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(129(a,1),1678(a,1,2)),flip(a)]. 1681 K(x,T(y * z,z)) = K(x,z * y). [hyper(31,a,1325,a,b,1676,a)]. 1683 K(x,y * (z / y)) = K(x,T(z,y)). [para(7(a,1),1681(a,1,2,1)),flip(a)]. 1684 K(x,(1 / y) \ z) = K(x,y * z). [para(588(a,1),1681(a,1,2))]. 1685 T((x * y) * K(z,y * x),z) = T(x * y,K(z,y)). [para(1681(a,1),1616(a,1,1,2))]. 1686 K(x,(y \ 1) * z) = K(x,y \ z). [para(70(a,1),1684(a,1,2,1)),flip(a)]. 1687 (x * K(y * x,z)) \ T(x * y,z) = L(y,x,K(x * y,z)). [para(1679(a,1),475(a,1,1))]. 1688 T((x * y) * K(z,x * y),K(z,y)) = (x * y) * K(z,y * x). [hyper(703,a,1685,a)]. 1689 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [hyper(189,a,1620,a(flip),b,1621,a),flip(a)]. 1690 L(x,y,(K(z,u) * w) \ v5) = L(x,y,w \ v5). [para(237(a,1),1689(a,1,3)),flip(a)]. 1691 L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (u \ v5)). [para(533(a,1),1689(a,1,3,2))]. 1692 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)). [para(700(a,1),1689(a,1,3,2)),flip(a)]. 1693 L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). [para(1462(a,1),1689(a,1,3,2))]. 1694 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,((z / w) * v5) \ v6). [para(665(a,1),1690(a,1,3,1))]. 1695 L(x,y,z \ (u * (z * w))) = L(x,y,z * ((z \ u) * w)). [hyper(59,a,1015,a(flip),b,1693,a),flip(a)]. 1696 L(x,y,z \ (u * (w * (v5 \ 1)))) = L(x,y,z \ (u * (v5 \ w))). [para(304(a,1),1693(a,1,3,2,2))]. 1697 L(x,y,(((z * u) \ z) * w) * v5) = L(x,y,(u \ w) * v5). [hyper(1033,a,1632,a)]. 1698 (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). [hyper(59,a,1617,a(flip),b,1656,a),flip(a)]. 1700 L(x,y,((z \ u) \ w) * v5) = L(x,y,((u \ z) * w) * v5). [para(5(a,1),1697(a,1,3,1,1,1)),flip(a)]. 1701 (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). [para(1097(a,1),1586(a,1,2,2))]. 1702 (x * K(y * x,z)) \ T(x * y,z) = y. [hyper(189,a,113,a(flip),b,1687,a),flip(a)]. 1703 (x * K(y * x,z)) * y = T(x * y,z). [hyper(99,a,113,a(flip),b,1687,a)]. 1705 (x \ T(x * y,z)) \ T(y * x,z) = x. [para(1173(a,2),1702(a,1,1))]. 1706 (x \ T(x * y,z)) * x = T(y * x,z). [para(1173(a,2),1703(a,1,1))]. 1707 T(x * y,z) / y = y \ T(y * x,z). [hyper(139,a,1705,a)]. 1708 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(5(a,1),1706(a,1,1,2,1)),flip(a)]. 1709 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [hyper(59,a,360,a(flip),b,1707,a),flip(a)]. 1710 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(1708(a,2),40(a,1))]. 1711 T((x \ y) * x,K(y,z)) = (x \ y) * x. [para(564(a,1),1708(a,2,1,2))]. 1712 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(99,a,138,a(flip),b,1709,a),flip(a)]. 1713 L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). [hyper(235,a,1701,a)]. 1714 L(T(x,K(y,z)) * K(y,z),u,w) = K(y,z) * L(x,u,w). [hyper(189,a,596,a(flip),b,1713,a),flip(a)]. 1715 L(x \ 1,y,z) * K(u,w) = L(x \ K(u,w),y,z). [para(460(a,1),1713(a,1,1)),flip(a)]. 1716 L(x,y,z) * K(x,u) = L(T(x,u),y,z). [para(555(a,2),1713(a,1,1)),flip(a)]. 1717 L(x,y,z) * K(x,u * u) = L(L(x,u,u),y,z). [para(758(a,1),1713(a,1,1)),flip(a)]. 1718 L(x * y,z,u) * K(y,w) = L(x * T(y,w),z,u). [para(1182(a,1),1713(a,1,1)),flip(a)]. 1720 L(x,y,z) * K(x,u) = T(L(x,y,z),u). [hyper(189,a,20,a(flip),b,1716,a),flip(a)]. 1721 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [para(1716(a,1),1390(a,1,2,2))]. 1722 K(L(x,y,z),u) = K(x,u). [hyper(30,a,555,a(flip),b,1720,a)]. 1723 K(L(x,y,z),u * x) = K(x,x * u). [hyper(189,a,807,a(flip),b,1722,a),flip(a)]. 1724 K((x * y) \ x,z) = K(y \ 1,z). [para(145(a,1),1722(a,1,1))]. 1725 K(x,L(y,z,u)) = 1 / K(y,x). [para(1722(a,1),501(a,1,2)),flip(a)]. 1726 T(x,L(y,z,u)) = x / K(y,x). [para(1722(a,1),527(a,2,2))]. 1730 K(x,L(y,z,u)) = K(x,y). [hyper(189,a,501,a(flip),b,1725,a),flip(a)]. 1731 K(x,L(y,z,u)) != w | K(x,y) = w. [para(1725(a,2),613(a,1))]. 1732 K(x,L(y,z,u)) = a(w,v5,K(v6,v7)) * K(x,y). [hyper(189,a,1191,a,b,1730,a),flip(a)]. 1733 K(x,R(y,z,u)) = K(x,L(y,w,v5)). [hyper(189,a,1099,a,b,1730,a)]. 1734 K(x,L(L(y,z,u),w,v5)) = K(x,y). [hyper(189,a,1730,a(flip),b,1730,a),flip(a)]. 1735 a(x,y,K(z,u)) * K(w,L(v5,v6,v7)) = K(w,v5). [hyper(59,a,1191,a,b,1730,a)]. 1736 K(x,(y * z) \ y) = K(x,z \ 1). [para(145(a,1),1730(a,1,2))]. 1737 K(x,(y * z) \ (y * u)) = K(x,z \ u). [para(83(a,1),1730(a,1,2))]. 1738 K(x,(y * z) \ u) = K(x,z \ (y \ u)). [para(178(a,1),1730(a,1,2))]. 1739 K(x,(y \ z) \ 1) = K(x,z \ y). [para(205(a,1),1730(a,1,2)),flip(a)]. 1740 K(x,(y \ 1) \ z) = K(x,y * z). [para(277(a,1),1730(a,1,2)),flip(a)]. 1741 K(x,(y \ z) \ u) = K(x,z \ (y * u)). [para(238(a,1),1730(a,1,2)),flip(a)]. 1742 K(x,y) * (x * L(y,z,u)) = L(y,z,u) * x. [para(1730(a,1),639(a,1,1))]. 1743 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(793(a,1),1730(a,1,2))]. 1744 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [para(987(a,2),1730(a,1,2)),flip(a)]. 1745 K(x,(y \ z) / u) = K(x,y \ (z / u)). [para(1074(a,1),1730(a,1,2))]. 1746 L(x,y,z) * K(u,L(w,v5,v6)) = L(x * K(u,w),y,z). [para(1730(a,1),1713(a,1,1,2)),flip(a)]. 1747 T(x,L(y,z,u)) = T(x,y). [hyper(189,a,527,a,b,1726,a),flip(a)]. 1749 T(x / L(y,z,u),y) = L(y,z,u) \ x. [hyper(629,a,1747,a),flip(a)]. 1750 x * T(y,L(x,z,u)) = y * x. [hyper(99,a,1747,a,b,17,a(flip))]. 1751 L(x,y,z) * T(u,x) = u * L(x,y,z). [hyper(99,a,1747,a(flip),b,17,a(flip))]. 1752 T(L(x,y,z),u) \ L(x,y,z) = u \ T(u,x). [hyper(97,a,1747,a(flip),b,571,a),flip(a)]. 1753 T(x,(y * z) \ y) = T(x,z \ 1). [para(145(a,1),1747(a,1,2))]. 1755 T(x,(y \ z) \ 1) = T(x,z \ y). [para(205(a,1),1747(a,1,2)),flip(a)]. 1757 T(x,y) * (L(y,z,u) \ 1) = L(y,z,u) \ x. [para(1747(a,1),439(a,1,1))]. 1758 L(x,y,z) * (T(u,x) \ 1) = u \ L(x,y,z). [para(1747(a,1),672(a,1,2,1))]. 1759 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(793(a,1),1747(a,1,2))]. 1760 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [para(987(a,2),1747(a,1,2)),flip(a)]. 1761 T(x,(y \ z) / u) = T(x,y \ (z / u)). [para(1074(a,1),1747(a,1,2))]. 1762 (1 / T(x,y)) * L(y,z,u) = L(y,z,u) / x. [para(1747(a,1),1215(a,1,1,2))]. 1764 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). [para(90(a,1),1750(a,1,2)),flip(a)]. 1765 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [hyper(99,a,1724,a(flip),b,79,a),flip(a)]. 1766 K((x \ y) / y,z) = K(x \ 1,z). [para(1248(a,2),1724(a,1,1))]. 1774 K(x,R(y \ z,u,w)) = K(x,(v5 * y) \ (v5 * z)). [para(83(a,1),1733(a,2,2))]. 1775 K(x,L(y / z,u,w)) = K(x,(y * v5) / (z * v5)). [para(86(a,1),1733(a,1,2)),flip(a)]. 1776 K(x,R(y,z,u)) != w | K(x,y) = w. [para(1733(a,2),1731(a,1))]. 1777 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(1734(a,2),1389(a,1,2,2))]. 1778 K(x,(y / z) \ 1) = K(x,z / y). [para(1249(a,1),1736(a,1,2)),flip(a)]. 1779 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(1739(a,1),1523(a,1,2))]. 1780 T(x,(y \ z) / z) = T(x,y \ 1). [para(1248(a,2),1753(a,1,2))]. 1781 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(1753(a,1),1399(a,1,2))]. 1782 ((x \ y) \ T(z,x \ y)) \ 1 = T(z \ (x \ y),y \ x). [hyper(59,a,1433,a(flip),b,1755,a)]. 1783 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(1755(a,1),1743(a,1,2))]. 1784 K(x / (y * x),z) = K(y \ 1,z). [para(4(a,1),1766(a,1,1,1))]. 1785 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(282(a,1),1776(a,1,2))]. 1786 K(x,y / z) * K(x * ((z / y) \ 1),x) = x \ R(x,(z / y) \ 1,x). [para(1778(a,1),1136(a,1,1))]. 1787 T(x,y / (z * y)) = T(x,z \ 1). [para(4(a,1),1780(a,1,2,1))]. 1788 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(1784(a,1),1311(a,1,2)),flip(a)]. 1789 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(774,a,1787,a),flip(a)]. 1790 K(x,(x * y) \ z) = K(x,x \ (y \ z)). [hyper(59,a,1401,a(flip),b,1738,a)]. 1791 K(x,(y \ z) \ (y \ u)) = K(x,z \ u). [para(5(a,1),1738(a,1,2,1)),flip(a)]. 1792 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(498(a,1),1738(a,2,2))]. 1793 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(526(a,1),1741(a,2,2,2))]. 1794 K(x,(y \ z) \ K(y,u)) = K(x,z \ T(y,u)). [para(555(a,2),1741(a,2,2,2))]. 1795 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(1741(a,1),616(a,1,2))]. 1797 K(x,y \ ((y * z) / u)) = K(x,z / u). [para(4(a,1),1745(a,1,2,1)),flip(a)]. 1799 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [para(1749(a,1),674(a,1,1))]. 1800 L(x,y,z) = (z * (y * x)) / T(z * y,x). [hyper(98,a,81,a(flip),b,1751,a),flip(a)]. 1801 L(x,y,z) * (x \ u) = (u / x) * L(x,y,z). [para(90(a,1),1751(a,1,2))]. 1802 ((x * T(y,x)) * L(x,z,u)) \ (x * (y * L(x,z,u))) = K(L(x,z,u),x * T(y,x)). [para(1751(a,1),872(a,1,2,2))]. 1804 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [hyper(59,a,1673,a(flip),b,1761,a),flip(a)]. 1806 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,1340,a(flip),b,1783,a),flip(a)]. 1807 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(4(a,1),1806(a,1,2,2))]. 1808 (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). [para(1806(a,1),1317(a,1,2))]. 1809 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(59,a,1128,a(flip),b,1789,a)]. 1810 K(x,x \ (y \ (x * z))) = K(x,y \ z). [hyper(59,a,1737,a(flip),b,1790,a),flip(a)]. 1811 a(x,x \ ((x * y) / z),x) = K(x,y / z) * K((x * y) / z,x). [para(1797(a,1),1565(a,1,1)),flip(a)]. 1813 T(x,y \ (1 / y)) = L(x,y,y). [hyper(189,a,1610,a(flip),b,1804,a),flip(a)]. 1814 T(x * y,x \ (1 / x)) = (x \ 1) \ y. [hyper(189,a,1148,a(flip),b,1813,a),flip(a)]. 1815 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(129(a,1),1807(a,1,2)),flip(a)]. 1816 L(x,y,((z \ 1) \ u) \ w) = L(x,y,(z * u) \ w). [para(1814(a,1),999(a,1,3,1))]. 1817 L(x,y,(((z \ 1) \ u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). [para(1814(a,1),1002(a,1,3,1,1))]. 1818 L(x,y,L((z \ 1) \ u,w,v5)) != v6 | L(x,y,L(z * u,w,v5)) = v6. [para(1814(a,1),1038(a,1,3,1))]. 1819 L(x,y,(z \ ((u \ 1) \ w)) * v5) = L(x,y,(z \ (u * w)) * v5). [para(1814(a,1),1535(a,1,3,1,2))]. 1820 L(x,y,z \ (((u \ 1) \ w) \ v5)) = L(x,y,z \ ((u * w) \ v5)). [para(1814(a,1),1691(a,1,3,2,1))]. 1822 a(x,y,K(z,u)) = K(w,L(v5,v6,v7)) * K(v5,w). [hyper(557,a,1732,a(flip)),flip(a)]. 1823 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(1742(a,1),1386(a,1,2))]. 1825 T(x,x * y) \ L(x,y,x) = y \ T(y,x). [para(344(a,1),1752(a,1,1))]. 1826 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(189,a,562,a,b,1825,a)]. 1827 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(99,a,562,a,b,1825,a)]. 1828 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(784,a,1826,a)]. 1830 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(97,a,1827,a(flip),b,1392,a),flip(a)]. 1831 T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. [para(1827(a,1),428(a,1,1)),flip(a)]. 1832 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(1828(a,1),513(a,1,2)),flip(a)]. 1833 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(1830(a,1),1590(a,1,2))]. 1834 x / a(x,y,x) = L(x,y,x). [hyper(164,a,1833,a),flip(a)]. 1835 L(x,y,x) \ x = a(x,y,x). [hyper(136,a,1834,a)]. 1836 L(x,y,x) != x / z | a(x,y,x) = z. [para(1834(a,1),41(a,1))]. 1838 L(L(x,y,L(x,z,u)),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(25(a,1),1835(a,1,1))]. 1840 (x \ y) * (L(x,z,u) \ 1) = L(x,z,u) \ (y / x). [para(90(a,1),1757(a,1,1))]. 1841 L(x,y,z) * (x \ (u \ x)) = u \ L(x,y,z). [para(673(a,1),1758(a,1,2))]. 1842 T(x,x \ L(y,z,u)) = 1 / T(1 / x,y). [hyper(31,a,1361,a,b,1762,a)]. 1844 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(189,a,440,a(flip),b,1764,a),flip(a)]. 1845 (x * L(x \ 1,y,z)) \ x = 1 / L(x \ 1,y,z). [hyper(31,a,1430,a,b,1844,a)]. 1846 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(59,a,1759,a(flip),b,1781,a)]. 1847 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(144(a,1),1846(a,1,2)),flip(a)]. 1848 x \ T(y,T(z,x)) = K(y,z) * (x \ y). [hyper(1272,a,1808,a)]. 1849 L(x,y,z) * (u \ x) = x * (u \ L(x,y,z)). [hyper(99,a,1841,a(flip),b,868,a),flip(a)]. 1850 K(x,T(y / (z * u),z)) = K(x,(w * z) \ (w * (y / u))). [para(318(a,1),1774(a,1,2))]. 1851 K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). [hyper(59,a,792,a(flip),b,1831,a)]. 1852 K(x * y,x) * K(x,y) = x / L(x,y,x). [para(483(a,2),1832(a,1,1))]. 1853 (x * K(y * z,y)) * K(y,z) = (x * y) / L(y,z,y). [para(688(a,1),1832(a,1,1))]. 1854 x / L(x,y,x) = x \ R(x,y,x). [hyper(59,a,1405,a(flip),b,1852,a),flip(a)]. 1855 (x \ R(x,y,x)) \ x = L(x,y,x). [hyper(136,a,1854,a)]. 1856 a(x,y,x) \ x = L(x,y,x). [para(1557(a,1),1855(a,1,1))]. 1857 K(x,(T(L(L(x,y,z),u,w),v5) \ v6) \ 1) = K(x,v6 \ L(L(x,y,z),u,w)). [hyper(59,a,1793,a(flip),b,1777,a),flip(a)]. 1858 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(565(a,2),1792(a,1,2,1)),flip(a)]. 1859 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(743(a,2),1858(a,1,2))]. 1860 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(1815(a,1),917(a,1,2))]. 1861 L(x,y,(z \ (u \ 1)) * w) = L(x,y,(u * z) \ w). [hyper(59,a,1053,a(flip),b,1816,a)]. 1862 (x \ L(x,y,z)) \ (x \ 1) = 1 / L((x \ 1) \ 1,y,z). [para(467(a,1),1845(a,1,1))]. 1863 L(x,y,(z \ T(u \ w,w)) * v5) = L(x,y,((u / w) * z) \ v5). [para(1219(a,2),1861(a,1,3,1,2))]. 1864 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(1746(a,1),827(a,1,1,1))]. 1865 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(59,a,1579,a(flip),b,1851,a),flip(a)]. 1867 a(x,y,x) \ x != z | L(x,y,x) = z. [para(1865(a,1),140(a,1))]. 1868 x * (K(y * z,y) * K(y,z)) = (x * y) / L(y,z,y). [hyper(1186,a,1853,a)]. 1869 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(97,a,1860,a(flip),b,1392,a),flip(a)]. 1870 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(97,a,1860,a(flip),b,569,a),flip(a)]. 1871 (x * y) / L(y,z,y) = x * a(y,z,y). [para(1559(a,1),1868(a,1,2)),flip(a)]. 1872 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7(a,1),1871(a,1,1)),flip(a)]. 1873 L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). [para(592(a,1),1714(a,1,1))]. 1874 K(x,y) * L(y,z,u) = L(T(y,x),z,u). [para(477(a,2),1873(a,1,1)),flip(a)]. 1875 L(x,y,z) / L(K(u,w) * x,y,z) = K(w,u). [para(1873(a,2),500(a,1,2))]. 1876 K(x,y) * L(x * z,u,w) = L(T(x,y) * z,u,w). [para(480(a,1),1873(a,1,1)),flip(a)]. 1877 K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). [para(570(a,1),1873(a,1,1)),flip(a)]. 1878 L(x,y,L(T(z,u),w,v5) * v6) != v7 | L(x,y,L(z,w,v5) * v6) = v7. [para(1874(a,1),1030(a,1,3,1))]. 1879 T(x,y) \ L(T(x,y) * z,u,w) = x \ L(x * z,u,w). [hyper(97,a,1876,a(flip),b,657,a)]. 1880 T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w). [hyper(99,a,1877,a(flip),b,712,a),flip(a)]. 1881 K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / w))) = K(x,T(u / ((z * y) * w),z * y)). [para(1788(a,1),1850(a,2,2,1)),flip(a)]. 1882 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(59,a,1206,a,b,1869,a)]. 1883 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(308(a,1),1254(a,1,1)),flip(a)]. 1884 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(6(a,1),1883(a,1,1)),flip(a)]. 1885 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1884(a,1),90(a,1,1))]. 1886 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [hyper(59,a,1691,a(flip),b,1372,a)]. 1888 L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [hyper(59,a,1692,a(flip),b,1886,a)]. 1889 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [para(1413(a,2),90(a,1,1))]. 1890 L(x,y,((z * u) \ w) * v5) = L(x,y,((u * z) \ w) * v5). [para(88(a,1),1423(a,1,3,1,1))]. 1891 L(x,y,((z * (u / w)) \ v5) * v6) = L(x,y,((z * (w \ u)) \ v5) * v6). [para(90(a,1),1423(a,1,3,1,1,2)),flip(a)]. 1892 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ y,y)). [para(1383(a,1),1539(a,2,2,2))]. 1893 (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(y,x \ y)). [para(29(a,1),1892(a,2,2,2))]. 1895 (x \ y) / (x \ T(y,z)) = K(z,y) * K(y,K(x,z)). [para(1521(a,1),1893(a,2,2))]. 1896 (x \ y) / (x \ T(y,z)) = K(z,T(y,x)). [hyper(189,a,1481,a(flip),b,1895,a),flip(a)]. 1897 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(1582(a,1),1583(a,1,1)),flip(a)]. 1898 R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. [para(1897(a,1),39(a,1))]. 1899 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,R(w,z,u \ 1) * v5). [para(1276(a,2),1622(a,1,3,1)),flip(a)]. 1900 T((x * y) * K(z,x * y),K(z,y)) != (x * y) * u | K(z,y * x) = u. [para(1688(a,2),39(a,1))]. 1901 L(x,y,z * ((z \ u) * (w \ 1))) = L(x,y,z \ (u * (w \ z))). [hyper(59,a,1695,a(flip),b,1696,a)]. 1902 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(59,a,1809,a(flip),b,1712,a)]. 1903 T(((x / y) \ 1) * K(x * ((x / y) \ 1),x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [hyper(219,a,1712,a(flip),b,1703,a)]. 1904 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((u * z) \ w) * v5). [hyper(59,a,1700,a(flip),b,1817,a)]. 1905 L(x,y,z \ (u * (w \ (v5 \ 1)))) = L(x,y,z \ ((v5 * w) \ u)). [hyper(59,a,1888,a(flip),b,1820,a)]. 1906 L(x,y,((z / u) * w) \ v5) = L(x,y,(w \ (z \ u)) * v5). [hyper(59,a,1535,a(flip),b,1863,a),flip(a)]. 1908 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,(v5 \ (z \ w)) * v6). [hyper(59,a,1694,a,b,1906,a)]. 1909 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [hyper(189,a,873,a(flip),b,1885,a),flip(a)]. 1910 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(810(a,1),1909(a,1,1))]. 1911 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(734(a,1),1910(a,2,2))]. 1912 L(x,y,z \ (u * (w \ z))) = L(x,y,z * (w \ (z \ u))). [hyper(1063,a,1901,a),flip(a)]. 1913 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((z * u) \ w) * v5). [hyper(189,a,1890,a,b,1904,a),flip(a)]. 1914 L(x,y,z \ (((1 / u) * w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [para(73(a,1),1905(a,1,3,2,2,2)),flip(a)]. 1915 L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [hyper(59,a,1906,a(flip),b,1908,a)]. 1916 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,((z \ u) * w) * v5). [para(73(a,1),1913(a,1,3,1,1,2)),flip(a)]. 1917 L(x,y,(z \ (((u \ w) \ w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [para(89(a,1),1915(a,1,3,1,2,1))]. 1918 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,v5 * ((z \ u) * w)). [hyper(189,a,997,a,b,1916,a),flip(a)]. 1919 L(x,y,((z * (1 / u)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(1918(a,2),1033(a,1))]. 1920 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ T((y * z) * x,x). [para(582(a,2),1571(a,2,2))]. 1921 (x \ ((1 / x) \ y)) * L(z,x,x) = L(y * z,x,x). [hyper(189,a,946,a(flip),b,1920,a),flip(a)]. 1922 L(x,y,y) * L(z,y,y) = L(x * z,y,y). [para(947(a,1),1921(a,1,1))]. 1923 L(((x \ 1) \ y) * z,x,x) = (x * y) * L(z,x,x). [para(1150(a,1),1922(a,1,1)),flip(a)]. 1924 K(x,y) * K(y * L(x,z,u),x) = L(x,y,L(x,z,u)) \ x. [para(1678(a,1),1630(a,1,2))]. 1925 a(x,x \ ((x * y) / z),x) = K(x,y / z) * K((z / y) \ x,x). [para(1293(a,1),1811(a,2,2))]. 1926 x \ (y \ ((y * x) * L(z,y,y))) = L(z,(y \ 1) \ x,y \ 1). [para(1923(a,1),1165(a,1,2,2))]. 1927 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) / y). [hyper(189,a,1669,a(flip),b,1448,a),flip(a)]. 1928 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,x \ (y \ 1)). [hyper(189,a,1244,a(flip),b,1927,a),flip(a)]. 1929 (x \ (x \ 1)) \ (((x \ (x \ 1)) * y) * z) = x * (((x \ y) * (z * x)) / x). [para(1604(a,2),1611(a,1,2,1))]. 1930 L(x,y,(z \ ((u \ 1) * w)) * v5) = L(x,y,(z \ (u \ w)) * v5). [hyper(59,a,1819,a(flip),b,1917,a)]. 1931 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,L(T(w,u),u,z \ 1) * v5). [para(151(a,1),1930(a,1,3,1)),flip(a)]. 1932 K(x,y / z) * K((z / y) \ x,x) = x \ R(x,(z / y) \ 1,x). [para(1294(a,1),1786(a,1,2))]. 1933 K(x,y / z) * K((z / y) \ x,x) = a(x,(z / y) \ 1,x). [hyper(189,a,1557,a(flip),b,1932,a),flip(a)]. 1934 a(x,x \ ((x * y) / z),x) = a(x,(z / y) \ 1,x). [hyper(59,a,1925,a,b,1933,a)]. 1935 L(x,y,((z * (u \ 1)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(1891(a,1),1919(a,1))]. 1936 L(x,y,(((z \ 1) * u) \ w) * v5) != v6 | L(x,y,((u \ z) * w) * v5) = v6. [para(1890(a,1),1935(a,1))]. 1937 T((1 / x) \ (y * (z * (1 / x))),x) = (x \ 1) * ((((x \ 1) \ 1) * y) * z). [para(746(a,1),1141(a,2,2,1,1))]. 1938 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(1182(a,1),1209(a,1,2)),flip(a)]. 1939 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(189,a,15,a,b,1938,a),flip(a)]. 1940 R(x,y,T(z,u)) = R(x,y,z). [hyper(1096,a,1939,a),flip(a)]. 1942 R(x,y,(z \ u) \ u) = R(x,y,z). [para(89(a,1),1940(a,1,3))]. 1943 R(x,y,(z \ 1) \ u) = R(x,y,z * u). [para(1814(a,1),1940(a,1,3))]. 1944 R(x,y,(z * u) * z) = R(x,y,z * (u * z)). [para(1597(a,1),1943(a,1,3))]. 1945 K(x,y \ T(L(L(x,z,u),w,v5),v6)) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(59,a,1739,a(flip),b,1857,a)]. 1946 K(x,y \ L(T(x,x * z),u,w)) = K(x,y \ L(L(x,z,x),u,w)). [para(348(a,1),1945(a,1,2,2))]. 1947 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(59,a,1721,a(flip),b,1946,a),flip(a)]. 1949 (x * (((x \ y) * (z * x)) / x)) / z = L(y,x \ (x \ 1),z \ 1). [para(1929(a,1),1089(a,1,1))]. 1950 x \ ((((1 / x) \ 1) * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(73(a,1),1167(a,1,1))]. 1951 x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(73(a,1),1950(a,1,2,1,1))]. 1953 x \ ((x * (y / z)) / (1 / z)) = L(y,(z \ 1) \ x,z \ 1). [para(1951(a,1),1926(a,1,2))]. 1954 (x \ 1) * (((x \ 1) \ y) * z) = (y * (z / x)) / (1 / x). [hyper(34,a,82,a,b,1953,a)]. 1955 (1 / x) * (((1 / x) \ y) * z) = (x \ 1) * (((x \ 1) \ y) * z). [hyper(189,a,935,a,b,1954,a)]. 1956 (x \ 1) * (((x \ 1) \ L(y,x,x)) * z) = (1 / x) * ((x * y) * z). [para(951(a,1),1955(a,1,2,1)),flip(a)]. 1957 a(x,x \ (y \ (x * z)),x) = K(x,y \ z) * K(y \ (z * x),x). [para(1810(a,1),1570(a,1,1)),flip(a)]. 1958 a(x,y,x) \ (z \ T(x * y,x)) = K(y,x) * T(z \ (x * y),K(x,y)). [para(1511(a,1),1580(a,1,2)),flip(a)]. 1959 T(K(x,y) * (z \ (y * x)),K(y,x)) = a(y,x,y) \ (z \ T(y * x,y)). [hyper(189,a,1659,a,b,1958,a)]. 1960 T(T(x \ (y * z),K(z,y)),K(z,y)) = a(z,y,z) \ (x \ T(z * y,z)). [para(1370(a,2),1959(a,1,1))]. 1961 a(x,y,x) \ (z \ T(x * y,x)) = z \ (y * x). [hyper(623,a,1960,a),flip(a)]. 1963 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [hyper(375,a,989,a)]. 1964 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(189,a,1012,a(flip),b,1963,a),flip(a)]. 1965 L(x,K(y,z) * u,w) != v5 | L(x,u,w) = v5. [para(1963(a,2),1037(a,1))]. 1967 L(x,T(y,z),u) = L(x,y,u). [para(470(a,2),1964(a,1,2))]. 1969 L(x,y / z,u) = L(x,z \ y,u). [para(606(a,1),1964(a,1,2))]. 1970 L(x,y * K(z,u),w) = L(x,y,w). [para(1325(a,1),1964(a,1,2))]. 1971 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). [para(1328(a,1),1964(a,1,2))]. 1972 L(x,T(y,z),x) = x / a(x,y,x). [hyper(189,a,1834,a,b,1967,a),flip(a)]. 1973 L(x,T(y,z),y) = T(x,y * y). [hyper(189,a,752,a,b,1967,a),flip(a)]. 1974 L(x,y * (z \ 1),u) = L(x,z \ y,u). [para(304(a,1),1967(a,1,2))]. 1975 L(x,R(y * K(z,y),u,w),v5) = L(x,R(y,u,w),v5). [para(522(a,1),1967(a,1,2)),flip(a)]. 1976 L(x,T(y / z,y) \ u,w) = L(x,u * (y \ z),w). [para(685(a,1),1967(a,1,2)),flip(a)]. 1977 L(x,(y * z) \ z,u) = L(x,y \ 1,u). [para(1232(a,1),1967(a,1,2))]. 1978 L(x,R(y * K(z,y),z,u),w) = L(x,(z * u) \ ((z * y) * u),w). [para(547(a,2),1969(a,1,2))]. 1980 L(x,y * (z / u),w) = L(x,y * (u \ z),w). [para(1183(a,1),1970(a,1,2))]. 1981 L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). [para(1263(a,1),1970(a,1,2))]. 1982 a(x,T(y,z),x) = a(x,y,x). [hyper(1836,a,1972,a)]. 1984 a(x,y / z,x) = a(x,z \ y,x). [para(90(a,1),1982(a,1,2)),flip(a)]. 1986 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(59,a,1982,a,b,1984,a)]. 1987 L(x,y \ ((y * z) \ y),u) = L(x,z \ (y \ 1),u). [para(1430(a,1),1974(a,1,2)),flip(a)]. 1988 L(x,y \ (z \ y),u) = L(x,z \ 1,u). [para(5(a,1),1977(a,1,2,1))]. 1989 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(317(a,1),1986(a,1,2))]. 1990 L(x,T(y,z),u) != w | L(x,y,u) = w. [para(470(a,2),1965(a,1,2))]. 1992 L(x,T(y,z) \ u,w) != v5 | L(x,y \ u,w) = v5. [para(533(a,1),1965(a,1,2))]. 1993 L(x,(y / z) \ u,w) != v5 | L(x,(z \ y) \ u,w) = v5. [para(739(a,1),1965(a,1,2))]. 1994 L(x,y \ z,u) != w | L(x,z / y,u) = w. [para(90(a,1),1990(a,1,2))]. 1995 L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. [para(304(a,1),1990(a,1,2))]. 1996 L(x,(y * z) \ z,u) != w | L(x,y \ 1,u) = w. [para(1232(a,1),1990(a,1,2))]. 1997 T(x,y * y) != z | L(x,y,y) = z. [para(1973(a,1),1990(a,1))]. 1998 T(x,y \ (1 / y)) != z | L(x,y \ 1,y \ 1) = z. [para(441(a,1),1997(a,1,2))]. 1999 L(x,y * (T(z,u) * w),v5) = L(x,y * (z * w),v5). [para(480(a,1),1971(a,1,2,2))]. 2000 L(x,y * (T(z,u) \ w),v5) = L(x,y * (z \ w),v5). [para(533(a,1),1971(a,1,2,2))]. 2001 L(x,y * ((z / u) \ w),v5) = L(x,y * ((u \ z) \ w),v5). [para(700(a,1),1971(a,1,2,2)),flip(a)]. 2002 L(x,y * (1 / z),u) = L(x,z \ y,u). [hyper(189,a,1974,a(flip),b,1980,a),flip(a)]. 2003 L(x,(y / z) \ u,w) = L(x,u * (y \ z),w). [hyper(1992,a,1976,a)]. 2004 L(x,(y * z) \ 1,u) = L(x,z \ (y \ 1),u). [hyper(59,a,1988,a(flip),b,1987,a)]. 2006 L(x,y \ 1,y \ 1) = L(x,y,y). [hyper(1998,a,1813,a)]. 2007 L(x,1 / y,y \ 1) = L(x,y,y). [hyper(1994,a,2006,a)]. 2008 L(R(x,y,z \ 1),z,z) = L(x,z \ 1,y \ z). [hyper(1529,a,2006,a),flip(a)]. 2009 (x \ 1) \ L(y,x,x) = ((x \ 1) \ 1) * y. [hyper(97,a,2006,a(flip),b,1149,a)]. 2010 (x \ 1) * ((((x \ 1) \ 1) * y) * z) = (1 / x) * ((x * y) * z). [para(2009(a,1),1956(a,1,2,1))]. 2011 L(L(x,y \ 1,z \ y),y,y) = R(x,z,y \ 1). [hyper(761,a,2008,a)]. 2012 L(x,y * (T(z / u,z) \ w),v5) = L(x,y * (w * (z \ u)),v5). [para(681(a,1),1999(a,1,2,2))]. 2013 L(x,(y \ z) \ u,w) = L(x,u * (z \ y),w). [hyper(1993,a,2003,a)]. 2014 T((1 / x) \ (y * (z * (1 / x))),x) = (1 / x) * ((x * y) * z). [hyper(59,a,1937,a,b,2010,a)]. 2015 L(x,y * ((z / u) \ w),v5) = L(x,y * (w * (z \ u)),v5). [hyper(59,a,2000,a(flip),b,2012,a)]. 2017 L(x,y * ((z \ u) \ w),v5) = L(x,y * (w * (u \ z)),v5). [hyper(59,a,2001,a(flip),b,2015,a)]. 2018 (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). [hyper(631,a,2014,a)]. 2019 ((1 / x) * ((x * y) * z)) / L(z,x,x) = R(y,z * (1 / x),x). [para(2018(a,1),1160(a,1,1))]. 2020 L(x,(y * z) \ ((y * u) * z),w) = L(x,R(u,y,z),w). [hyper(59,a,1975,a(flip),b,1978,a),flip(a)]. 2022 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(88(a,1),389(a,1,2,1,1)),flip(a)]. 2023 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(156,a,903,a(flip),b,2022,a),flip(a)]. 2024 ((x / y) * z) \ (((x / y) * u) * w) = ((y \ x) * z) \ (((y \ x) * u) * w). [para(90(a,1),895(a,1,2,1,1)),flip(a)]. 2025 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(156,a,971,a,b,906,a(flip))]. 2026 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(156,a,970,a(flip),b,906,a(flip)),flip(a)]. 2027 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(666(a,1),2026(a,1,2,1))]. 2028 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(59,a,1081,a,b,2027,a)]. 2029 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),2028(a,1,1,2,1)),flip(a)]. 2030 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(148(a,1),2025(a,1,1,2,1,2)),flip(a)]. 2032 x \ T(x * L(x \ y,z,u),w) = L(x \ T(y,w),z,u). [hyper(97,a,2030,a(flip),b,1880,a(flip))]. 2035 (x \ (x * L(x \ y,z,u))) / L(x \ T(y,w),z,u) = K(w,T(x * L(x \ y,z,u),x)). [para(2032(a,1),1896(a,1,2))]. 2036 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),2029(a,1,1,2,1)),flip(a)]. 2037 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(189,a,17,a,b,981,a),flip(a)]. 2038 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),2037(a,1,1))]. 2039 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),2038(a,1,2,1,1))]. 2040 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(918(a,1),1882(a,1,2))]. 2041 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(338,a,2040,a),flip(a)]. 2042 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(59,a,1870,a,b,2041,a)]. 2043 R(x,y,L(x,z,u)) / x = a(x,y,L(x,z,u)). [hyper(59,a,1411,a,b,2041,a)]. 2044 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(59,a,1924,a(flip),b,2042,a)]. 2045 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). [hyper(814,a,1889,a)]. 2046 a(x,y,z) = T(R(x \ R(x,y,z),x,y * z),x * (y * z)). [hyper(189,a,9,a,b,1889,a)]. 2047 L(x,R(y \ R(y,z,u),y,z * u),w) = L(x,a(y,z,u),w). [para(2046(a,2),1967(a,1,2)),flip(a)]. 2048 T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). [para(85(a,1),2045(a,1,1,2))]. 2049 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). [para(9(a,2),2048(a,1,1)),flip(a)]. 2050 T(a(x,y,z),x) = a(x,y,z). [hyper(338,a,2049,a),flip(a)]. 2051 a(x,y,z) * x = x * a(x,y,z). [hyper(99,a,2050,a(flip),b,17,a(flip)),flip(a)]. 2053 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) = K(L(y,z,u),y * T(x,y)). [para(88(a,1),1802(a,1,1,1))]. 2054 K(L(x,y,z),x * T(u,x)) = K(x,u * L(x,y,z)). [hyper(59,a,914,a(flip),b,2053,a),flip(a)]. 2055 K(L(x,y,z),u * x) = K(x,u * L(x,y,z)). [para(88(a,1),2054(a,1,2))]. 2056 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(59,a,1723,a(flip),b,2055,a),flip(a)]. 2058 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(59,a,1823,a,b,2056,a)]. 2060 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(189,a,562,a(flip),b,2058,a),flip(a)]. 2061 T(x,L(x,y,z) * u) = T(x,x * u). [hyper(579,a,2060,a)]. 2062 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(5(a,1),2061(a,1,2)),flip(a)]. 2063 K(x * (L(x,y,z) \ u),x) = x / T(x,u). [para(2062(a,1),483(a,2,2))]. 2064 T(x,L(x,y,z) \ u) = T(x,x \ u). [para(871(a,1),2062(a,1,2))]. 2065 T(x,L(x,y,z) \ u) = (x \ u) \ u. [hyper(189,a,89,a(flip),b,2064,a),flip(a)]. 2066 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(2065(a,1),183(a,1,1))]. 2067 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(189,a,483,a,b,2063,a),flip(a)]. 2068 K(L(x,y,z) * u,x) = K(x * u,x). [para(4(a,1),2067(a,1,1,2)),flip(a)]. 2069 K(x * L(y,z,u),y) = K(y * x,y). [hyper(59,a,1680,a(flip),b,2068,a)]. 2071 T(x * K(x * y,x),y) = R(x,y,L(x,z,u)). [para(2069(a,1),916(a,1,1,2))]. 2072 x / L((y \ x) \ x,z,u) = L(y,z,u) \ x. [hyper(139,a,2066,a(flip))]. 2073 L(x / (x / y),z,u) = (L(y,z,u) \ x) \ x. [para(746(a,2),2066(a,1,1))]. 2075 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(59,a,809,a(flip),b,2071,a),flip(a)]. 2077 a(x,y,L(x,z,u)) = R(x,y,x) / x. [para(2075(a,1),2043(a,1,1)),flip(a)]. 2078 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(189,a,1558,a(flip),b,2077,a),flip(a)]. 2080 L(x,y,L(x,z,u)) \ x = a(x,y,x). [hyper(59,a,2044,a,b,2078,a)]. 2082 L(x,y,L(x,z,u)) = L(x,y,x). [hyper(35,a,1835,a,b,2080,a),flip(a)]. 2083 L(L(x,y,x),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(2082(a,1),1838(a,1,1,1))]. 2084 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(59,a,1862,a,b,2072,a)]. 2085 x / L(y \ x,z,u) = L(x / y,z,u) \ x. [para(73(a,1),2072(a,1,2,1,1))]. 2086 (L(x,y,z) \ 1) / (x \ 1) = L(x,y,z) \ x. [hyper(98,a,2084,a(flip),b,1429,a(flip))]. 2087 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(59,a,1845,a,b,2085,a)]. 2088 x * ((x \ y) * (L(x,z,u) \ 1)) = (y * (L(x,z,u) \ x)) / x. [para(2086(a,1),930(a,1,1,2)),flip(a)]. 2090 (x * (L(y,z,u) \ y)) / y = y * (L(y,z,u) \ (x / y)). [para(1840(a,1),2088(a,1,2)),flip(a)]. 2091 K(x,T(y * L(y \ z,u,w),y)) = L(y \ z,u,w) / L(y \ T(z,x),u,w). [para(4(a,1),2035(a,1,1)),flip(a)]. 2092 L(x \ y,z,u) / L(x \ T(y,w),z,u) = K(w,L(x \ y,z,u) * x). [hyper(1675,a,2091,a),flip(a)]. 2094 L(x \ y,z,u) / L(x \ T(y,w),z,u) = K(w,x * L(y / x,z,u)). [hyper(189,a,1629,a(flip),b,2092,a),flip(a)]. 2095 K(T(x,y),y * L(z / y,u,w)) = L(y \ z,u,w) / L(K(z,x) * (y \ z),u,w). [para(1848(a,1),2094(a,1,2,1)),flip(a)]. 2096 K(T(x,y),y * L(z / y,u,w)) = K(x,z). [hyper(189,a,1875,a(flip),b,2095,a),flip(a)]. 2097 K(x,T(y * L(z / y,u,w),y)) = K(x,z). [hyper(1351,a,2096,a)]. 2099 K(x,L(y / z,u,w) * z) = K(x,y). [hyper(1675,a,2097,a)]. 2100 K(x,L(y,z,u) * w) = K(x,y * w). [para(6(a,1),2099(a,1,2,1,1))]. 2101 K(x,y * L(z,u,w)) = K(x,y * z). [para(310(a,1),2099(a,1,2))]. 2103 K(x * y,x * L(y,z,u)) = 1. [hyper(189,a,125,a(flip),b,2101,a),flip(a)]. 2105 K(x * y,x * L(y,z,u)) = a(w,v5,K(v6,v7)). [hyper(189,a,1185,a,b,2103,a),flip(a)]. 2106 K(x * L(y,z,u),x * y) = a(w,v5,K(v6,v7)). [hyper(645,a,2105,a)]. 2107 K(x * y,x * L(y,z,u)) = K(w,L(v5,v6,v7)) * K(v5,w). [hyper(189,a,1822,a(flip),b,2105,a),flip(a)]. 2108 K(x,(x / L(y,z,u)) * y) = a(w,v5,K(v6,v7)). [para(7(a,1),2106(a,1,1))]. 2109 K(x,y * (L(y,z,u) \ x)) = a(w,v5,K(v6,v7)). [para(1764(a,1),2108(a,1,2))]. 2111 K(x * y,x * L(y,z,u)) = (L(w,v5,v6) * T(v7,w)) \ (v7 * L(w,v5,v6)). [hyper(189,a,1698,a,b,2107,a),flip(a)]. 2114 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(528,a,2111,a)]. 2115 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [hyper(59,a,2036,a,b,2114,a)]. 2116 K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). [hyper(59,a,835,a,b,2115,a)]. 2117 T(x,y \ (z \ 1)) * ((1 / y) * (1 / z)) = ((1 / y) * (1 / z)) * x. [para(1928(a,1),1447(a,1,1))]. 2118 T(((x / y) \ 1) * K((x / y) \ x,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(1312(a,1),1903(a,1,1,2))]. 2119 T(((x / y) \ 1) * K(y,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(73(a,1),2118(a,1,1,2,1))]. 2120 T(((x / y) \ 1) * K(y,y \ x),x) = x \ (((x / y) \ 1) * (y * (x / y))). [para(552(a,1),2119(a,1,1,2))]. 2121 x \ (((x / y) \ 1) * (y * (x / y))) = T((x / y) \ K(y,y \ x),x). [para(460(a,1),2120(a,1,1)),flip(a)]. 2122 x \ (((x / y) \ 1) * (y * (x / y))) = T((y \ x) \ 1,x). [para(725(a,1),2121(a,2,1))]. 2123 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(34,a,17,a(flip),b,2122,a),flip(a)]. 2124 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [hyper(59,a,1902,a,b,2123,a)]. 2125 R(L((x / (y \ 1)) * K(y \ 1,y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(1713(a,2),1639(a,1,1))]. 2126 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = R(L(y / (1 / x),z,u),x \ 1,x). [para(469(a,1),2125(a,1,1,1)),flip(a)]. 2127 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(R(y / (1 / x),x \ 1,x),z,u). [hyper(189,a,24,a(flip),b,2126,a),flip(a)]. 2128 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(y * x,z,u). [para(1636(a,1),2127(a,2,1))]. 2129 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(855(a,1),2128(a,1,1))]. 2131 K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / ((z * y) \ w)))) = K(x,T(u / w,z * y)). [para(5(a,1),1881(a,2,2,1,2))]. 2132 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(1012(a,1),1911(a,1,1,1,1))]. 2134 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(1864(a,1),2132(a,1,1))]. 2135 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,1305,a(flip),b,2134,a),flip(a)]. 2136 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(25(a,1),2135(a,1,1,2))]. 2137 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(59,a,1347,a(flip),b,2136,a)]. 2138 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(59,a,1847,a(flip),b,2137,a)]. 2139 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(2138(a,1),1532(a,1,2,2))]. 2140 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(712(a,1),2139(a,1,2))]. 2141 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(1343(a,1),2140(a,1,1))]. 2142 K(x,(y \ 1) \ L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(1947(a,1),2141(a,1,1))]. 2143 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(1740(a,1),2142(a,1,1))]. 2145 K(x,x * y) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(2056(a,1),2143(a,1,1))]. 2146 a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). [hyper(59,a,1579,a(flip),b,2145,a)]. 2148 x * ((T(y,x) \ 1) * L((T(y,x) \ 1) \ (x \ z),u,w)) = (y \ x) * L((y \ x) \ z,u,w). [para(672(a,1),909(a,2,2,1,1))]. 2149 x * (T(y,x) \ L(T(y,x) * (x \ z),u,w)) = (y \ x) * L((y \ x) \ z,u,w). [para(855(a,1),2148(a,1,2))]. 2150 (x \ y) * L((x \ y) \ z,u,w) = y * (x \ L(x * (y \ z),u,w)). [para(1879(a,1),2149(a,1,2)),flip(a)]. 2151 x * (y \ L(y * (x \ x),z,u)) = L(y,z,u) * (y \ x). [hyper(59,a,311,a(flip),b,2150,a),flip(a)]. 2153 L(x,y,z) * (x \ u) = u * (x \ L(x,y,z)). [para(126(a,1),2151(a,1,2,2,1)),flip(a)]. 2154 (x * y) * (x \ L(x,z,u)) = L(x,z,u) * y. [hyper(268,a,2153,a),flip(a)]. 2155 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(189,a,1833,a(flip),b,2153,a),flip(a)]. 2156 (x / y) * L(y,z,u) = x * (y \ L(y,z,u)). [hyper(59,a,1801,a(flip),b,2153,a)]. 2157 (x * y) * (x \ L(x,z,u)) != w | L(x,z,u) * y = w. [para(2153(a,1),268(a,1))]. 2158 x / a(y,z,y) = a(y,z,y) \ x. [hyper(59,a,1865,a(flip),b,2155,a),flip(a)]. 2159 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(136,a,2158,a)]. 2160 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(106,a,2158,a)]. 2161 a(x,y,x) * z = z * a(x,y,x). [hyper(291,a,2158,a(flip))]. 2162 T(a(x,y,x),z) = a(x,y,x). [hyper(59,a,732,a,b,2159,a)]. 2163 (x * y) / L(a(z,u,z),a(z,u,z) \ y,x) = x * (a(z,u,z) \ y). [para(2159(a,1),228(a,1,2,1))]. 2164 L(L(x,y,x),z,u) \ L(x,z,u) = a(x,y,x). [para(2146(a,1),2159(a,1,1))]. 2165 T(x,a(y,z,y)) = x. [hyper(50,a,2162,a)]. 2166 a(x,y,x) * (z \ 1) = z \ a(x,y,x). [hyper(97,a,2162,a(flip),b,610,a(flip)),flip(a)]. 2167 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(2165(a,1),608(a,1)),flip(a)]. 2168 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(2165(a,1),1800(a,2,2)),flip(a)]. 2169 x \ (R(x,y,x) * z) = a(x,y,x) * z. [hyper(189,a,1646,a,b,2161,a)]. 2170 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(98,a,1644,a(flip),b,2161,a)]. 2171 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [para(2161(a,1),1563(a,1,2))]. 2172 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(59,a,2161,a(flip),b,2166,a)]. 2173 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [para(5(a,1),2169(a,1,2)),flip(a)]. 2174 ((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(81(a,1),2170(a,1,2))]. 2176 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(2172(a,1),1585(a,1,1))]. 2178 L(x,y,z) / x = x \ L(x,y,z). [hyper(945,a,2154,a)]. 2179 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(943,a,2154,a)]. 2180 a(x \ 1,y,z) = x \ L(x,z,y). [hyper(59,a,1085,a,b,2178,a)]. 2184 (x \ y) \ L(x \ y,z,u) = a(y \ x,u,z). [hyper(59,a,1400,a(flip),b,2180,a),flip(a)]. 2185 (x \ 1) * a(x,y,z) = L(x \ 1,z,y). [hyper(99,a,898,a(flip),b,2180,a(flip))]. 2186 a(x \ 1,y,z) != u \ L(x,z,y) | x = u. [para(2180(a,2),44(a,1))]. 2187 L((x \ L(x,y,z)) \ u,a(x \ 1,z,y),x) = L(x,y,z) \ (x * u). [para(2180(a,2),238(a,1,2))]. 2189 a(x,x,y \ 1) = a(y,x,x). [hyper(30,a,818,a,b,2185,a)]. 2190 L(x \ 1,y,z) != (x \ 1) * u | a(x,z,y) = u. [para(2185(a,1),39(a,1))]. 2191 L(x,a(y,z,z),u) = x. [para(2189(a,1),817(a,1,2))]. 2192 (x * a(y,z,z)) \ u = a(y,z,z) \ (x \ u). [hyper(59,a,178,a(flip),b,2191,a)]. 2193 x != y | L(x,a(z,u,u),w) = y. [para(2191(a,1),992(a,1))]. 2194 (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). [para(6(a,1),2156(a,1,1)),flip(a)]. 2195 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(59,a,2083,a(flip),b,2164,a)]. 2197 ((x * y) * z) \ (x * (y * z)) = z \ L(z,y,x). [hyper(97,a,81,a(flip),b,2194,a)]. 2198 (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). [hyper(99,a,2194,a(flip),b,64,a(flip))]. 2199 K(x,x * y) * ((L(y,z,u) * x) * a(x,y,x)) = L(y,z,u) * T(x,y). [hyper(189,a,1464,a(flip),b,2171,a),flip(a)]. 2200 K(x,y) * (z * a(x,x \ y,x)) = K(x,x \ y) * z. [para(5(a,1),2171(a,1,1,2))]. 2201 a(x,y,z) = x * L(x \ 1,z,y). [hyper(30,a,2185,a,b,2198,a)]. 2202 L(x \ 1,y,z) = x \ a(x,z,y). [hyper(97,a,2201,a,b,xx),flip(a)]. 2203 a(x,T(y,z),u) = x * L(x \ 1,u,y). [para(995(a,1),2201(a,2,2))]. 2204 a(x,y * K(z,u),w) = x * L(x \ 1,w,y). [para(1012(a,1),2201(a,2,2))]. 2205 a(x,y \ (z \ y),u) = x * L(x \ 1,u,z \ 1). [para(1022(a,1),2201(a,2,2))]. 2206 x * L(x \ 1,y,z \ (u \ 1)) = a(x,(u * z) \ 1,y). [para(1432(a,1),2201(a,2,2)),flip(a)]. 2207 x * L(x \ 1,y \ z,u) = a(x,u,z * (y \ 1)). [para(1974(a,1),2201(a,2,2)),flip(a)]. 2208 a(x,y,z * (K(u,w) * v5)) = x * L(x \ 1,z * v5,y). [para(1971(a,1),2201(a,2,2))]. 2209 x * L(x \ 1,y \ (z \ u),w) = a(x,w,y \ (u / z)). [para(1981(a,1),2201(a,2,2)),flip(a)]. 2210 x * L(x \ 1,y * (z \ u),w) = a(x,w,(u \ z) \ y). [para(2013(a,1),2201(a,2,2)),flip(a)]. 2211 x * L(x \ 1,y * (z * (u \ w)),v5) = a(x,v5,y * ((w \ u) \ z)). [para(2017(a,1),2201(a,2,2)),flip(a)]. 2212 L(1 / x,y,z) \ 1 = a(x,z,y) \ x. [para(2201(a,2),2087(a,1,1)),flip(a)]. 2213 x * L(x \ 1,y,z) != u | a(x,z,y) = u. [para(2202(a,2),164(a,1,2))]. 2214 (x \ a(x,y,z)) * K(u,w) = L(x \ K(u,w),z,y). [para(2202(a,1),1715(a,1,1))]. 2215 a(x,T(y,z),u) = a(x,y,u). [hyper(189,a,2201,a,b,2203,a),flip(a)]. 2217 a(1 / x,y,z) \ (1 / x) = ((L(x,z,y) \ 1) \ 1) \ 1. [para(2073(a,1),2212(a,1,1)),flip(a)]. 2220 a(x,y * K(z,u),w) = a(x,y,w). [hyper(189,a,2201,a,b,2204,a),flip(a)]. 2221 a(x,y * K(z,u),w) != v5 | a(x,y,w) = v5. [para(2204(a,2),2213(a,1))]. 2222 a(x,y \ T(z,u),w) = a(x,y \ z,w). [para(1261(a,1),2220(a,1,2)),flip(a)]. 2223 a(x,K(y,z) * u,w) = a(x,u,w). [para(1299(a,1),2220(a,1,2))]. 2224 a(x,y * (z / u),w) = a(x,y * (u \ z),w). [para(1183(a,1),2220(a,1,2))]. 2225 a(x,y \ (z / u),w) = a(x,y \ (u \ z),w). [para(1263(a,1),2220(a,1,2))]. 2226 a(x,T(y,z) \ u,w) = a(x,y \ u,w). [para(1337(a,1),2220(a,1,2))]. 2227 a(x,(y / z) \ u,w) = a(x,(z \ y) \ u,w). [para(700(a,1),2223(a,1,2)),flip(a)]. 2228 a(x,y \ ((z / u) \ 1),w) = a(x,y \ (z \ u),w). [para(1219(a,1),2222(a,1,2,2))]. 2232 a(x,y,K(z,u)) != w | a(K(v5,v6),v7,v8) = w. [para(1189(a,1),2221(a,1))]. 2234 K(x,y * (L(y,z,u) \ x)) != w | a(v5,v6,K(v7,v8)) = w. [para(2109(a,2),2221(a,1))]. 2235 a(x,x \ (y \ (x * z)),x) = a(x,(y / z) \ 1,x). [hyper(59,a,1934,a(flip),b,2225,a),flip(a)]. 2236 a(x,y \ (z \ y),u) != w | a(x,z \ 1,u) = w. [para(2205(a,2),2213(a,1))]. 2237 a(x,y,z * (u \ 1)) = a(x,y,u \ z). [hyper(2213,a,2207,a),flip(a)]. 2238 a(x,y,z * (u \ 1)) != w | a(x,y,u \ z) = w. [para(2207(a,1),2213(a,1))]. 2239 a(x,y,(1 / z) \ u) = a(x,y,u * z). [para(73(a,1),2237(a,1,3,2)),flip(a)]. 2240 a(x,y,K(z,u) * (w * (v5 \ 1))) != v6 | a(x,y,v5 \ (K(z,u) * w)) = v6. [para(222(a,1),2238(a,1,3))]. 2241 a(x,x \ (y \ (x * z)),x) = a(x,(z \ y) \ 1,x). [hyper(189,a,2227,a(flip),b,2235,a),flip(a)]. 2242 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(59,a,1957,a(flip),b,2241,a)]. 2243 x * (y \ L(y,z,u)) != w | L(y,z,u) * (y \ x) = w. [para(5(a,1),2157(a,1,1))]. 2244 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(1644(a,1),2168(a,1,1,2))]. 2245 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(2176(a,1),2023(a,1,1)),flip(a)]. 2246 a(x,(y * z) \ 1,u) = a(x,z \ (y \ 1),u). [hyper(2213,a,2206,a),flip(a)]. 2247 a(x,(y * z) \ 1,u) != w | a(x,z \ (y \ 1),u) = w. [para(2206(a,1),2213(a,1))]. 2248 a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). [hyper(189,a,2201,a,b,2208,a),flip(a)]. 2249 a(x,y,z * (K(u,w) * v5)) != v6 | a(x,y,z * v5) = v6. [para(2208(a,2),2213(a,1))]. 2250 a(x,y,K(z,u) * w) = a(x,y,w). [para(471(a,1),2248(a,1,3)),flip(a)]. 2251 a(x,y,z * u) = a(x,y,u * z). [para(476(a,1),2248(a,1,3))]. 2252 a(x,y,z * K(u,w)) = a(x,y,z). [para(514(a,1),2248(a,1,3)),flip(a)]. 2253 a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). [para(606(a,1),2248(a,1,3,2))]. 2254 a(x,y * K(z,u),w) = a(x,y,K(v5,v6) * w). [hyper(2221,a,2250,a),flip(a)]. 2255 a(x,y,z / u) = a(x,y,u \ z). [para(606(a,1),2250(a,1,3))]. 2256 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). [para(1874(a,1),2250(a,1,3))]. 2257 a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)). [para(1877(a,1),2250(a,1,3)),flip(a)]. 2258 a(x,y,(z \ 1) * u) = a(x,y,z \ u). [hyper(2238,a,2251,a),flip(a)]. 2259 a(x,y,z * u) * 1 = a(x,y,u * z). [hyper(189,a,3,a,b,2251,a)]. 2260 a(x,y,(z \ 1) * u) != w | a(x,y,z \ u) = w. [para(2251(a,1),2238(a,1))]. 2261 a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)). [para(1260(a,1),2252(a,1,3))]. 2262 a(x,y,z \ (u * (w / u))) = a(x,y,z \ w). [para(1264(a,1),2252(a,1,3))]. 2263 a(x,y,L(z * T(u,w),v5,v6)) = a(x,y,L(z * u,v5,v6)). [para(1718(a,1),2252(a,1,3))]. 2264 a(x,y,(z \ u) \ u) = a(x,y,z). [para(70(a,1),2255(a,1,3)),flip(a)]. 2265 a(x,y,z \ (u * T(z * w,z))) = a(x,y,z * ((z \ u) * w)). [para(925(a,1),2255(a,1,3)),flip(a)]. 2266 a(x,y,z \ (u * (((u \ w) * (z * u)) / u))) = a(x,y,L(w,u \ (u \ 1),z \ 1)). [para(1949(a,1),2255(a,1,3)),flip(a)]. 2267 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(2259(a,1),103(a,1)),flip(b)]. 2268 a(x,y,z * ((K(u,w) * v5) / (u * v6))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(696(a,1),2253(a,2,3,2))]. 2269 a(x,y,z * ((u \ 1) \ (w \ (u \ v5)))) = a(x,y,z * ((u * w) \ (v5 * u))). [para(936(a,1),2253(a,1,3,2)),flip(a)]. 2270 a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. [para(2254(a,1),2221(a,1))]. 2271 a(x,y,z / u) != w | a(x,y,u \ z) = w. [para(606(a,1),2270(a,1,3))]. 2272 a(x,y,L(T(z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6. [para(1874(a,1),2270(a,1,3))]. 2274 a(x,y,L(((z \ u) \ 1) * w,v5,v6)) != v7 | a(x,y,L(w * T(z / u,z),v5,v6)) = v7. [para(1143(a,1),2272(a,1,3,1))]. 2275 a(x,y,z \ (u / w)) != v5 | a(x,y,z \ (w \ u)) = v5. [para(2209(a,1),2213(a,1))]. 2276 a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)). [hyper(2213,a,2210,a),flip(a)]. 2277 a(x,y,(z \ u) \ w) != v5 | a(x,y,w * (u \ z)) = v5. [para(2210(a,1),2213(a,1))]. 2278 a(x,y,(z \ u) \ 1) = a(x,y,u \ z). [para(2(a,1),2276(a,2,3))]. 2279 a(x,y,z * ((u * w) \ u)) = a(x,y,w \ z). [para(4(a,1),2276(a,1,3,1)),flip(a)]. 2280 a(x,y,(z \ 1) \ u) = a(x,y,u * z). [para(61(a,1),2276(a,2,3,2))]. 2281 a(x,y,(z \ u) \ 1) = a(x,y,(u \ 1) * z). [hyper(189,a,2258,a,b,2278,a),flip(a)]. 2282 a(x,y,(z \ 1) \ u) != w | a(x,y,z * u) = w. [para(2280(a,2),2267(a,1))]. 2283 a(x,y,(z \ u) \ 1) != w | a(x,y,u \ z) = w. [para(2281(a,2),2260(a,1))]. 2284 a(1 / x,y,z) \ (1 / x) != u | 1 / L(x,z,y) = u. [para(2217(a,2),764(a,1))]. 2285 a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L(z * (w \ u),v5,v6)). [para(90(a,1),2263(a,1,3,1,2)),flip(a)]. 2287 a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))). [hyper(2213,a,2211,a),flip(a)]. 2288 a(x,y,z * ((u \ 1) \ w)) = a(x,y,z * (w * u)). [para(61(a,1),2287(a,2,3,2,2))]. 2289 K(x,x * y) * (L(y,z,u) * R(x,y,x)) = L(y,z,u) * T(x,y). [para(1644(a,1),2199(a,1,2))]. 2290 L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). [hyper(30,a,2116,a,b,2289,a),flip(a)]. 2292 R(x,L(y,z,u),x) = R(x,y,x). [hyper(30,a,1454,a,b,2290,a)]. 2293 a(x,L(y,z,u),x) = x \ R(x,y,x). [para(2292(a,1),1557(a,1,2)),flip(a)]. 2294 a(x,L(y,z,u),x) = a(x,y,x). [hyper(189,a,1557,a(flip),b,2293,a),flip(a)]. 2295 a(x,(y \ z) \ 1,x) = a(x,z \ y,x). [para(205(a,1),2294(a,1,2)),flip(a)]. 2296 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(987(a,2),2294(a,1,2)),flip(a)]. 2297 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [hyper(189,a,1560,a,b,2295,a)]. 2298 K(x,L(y,z,u) \ y) \ a(x,a(u,z,y),x) = K(x * (L(y,z,u) \ y),x). [hyper(97,a,2296,a(flip),b,1560,a)]. 2299 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(30,a,2242,a,b,2297,a)]. 2300 L(K(x * (y \ z),x),u,w) = K(y \ (z * x),x). [hyper(189,a,1175,a,b,2299,a)]. 2301 L(K(x * y,x),z,u) = K(w \ ((w * y) * x),x). [para(4(a,1),2300(a,1,1,1,2))]. 2302 a(x,y,K(z,u)) = K(w,w * v5) * K(v6 \ ((v6 * v5) * w),w). [para(2301(a,1),1421(a,2,2))]. 2303 K(x,y \ ((y * z) * x)) * a(u,w,K(v5,v6)) = K(x,x * z). [hyper(99,a,2302,a,b,1309,a)]. 2304 L(K(x,x * y),z,u) = K(x,w \ ((w * y) * x)). [hyper(31,a,1195,a,b,2303,a)]. 2305 L(K(x,x * (y \ z)),u,w) = K(x,y \ (z * x)). [para(5(a,1),2304(a,2,2,2,1))]. 2306 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(143,a,2305,a),flip(a)]. 2307 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(870(a,1),2306(a,1,2))]. 2308 K(x,x * (L(y,z,u) \ y)) = a(w,v5,K(v6,v7)). [hyper(2234,a,2307,a),flip(a)]. 2309 K(x * (L(y,z,u) \ y),x) = a(w,v5,K(v6,v7)). [hyper(645,a,2308,a)]. 2311 K(x * (L(y,z,u) \ y),x) != w | a(v5,v6,K(v7,v8)) = w. [para(2309(a,2),2221(a,1))]. 2312 a(x,y,z \ (K(u,w) * v5)) = a(x,y,v5 * (z \ 1)). [hyper(2240,a,2250,a)]. 2313 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [hyper(189,a,2237,a(flip),b,2312,a),flip(a)]. 2314 a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). [para(642(a,1),2313(a,1,3))]. 2315 a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). [para(696(a,1),2313(a,1,3))]. 2316 a(x,y,(T(z,u) \ w) \ v5) = a(x,y,(z \ w) \ v5). [para(718(a,1),2313(a,1,3))]. 2317 a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)). [para(1462(a,1),2313(a,1,3,2))]. 2318 a(x,y,(T(z / u,z) \ w) \ v5) = a(x,y,(w * (z \ u)) \ v5). [para(681(a,1),2315(a,1,3,1))]. 2319 a(x,y,(T(z,u) \ w) \ v5) = a(x,y,v5 * (w \ z)). [hyper(189,a,2276,a(flip),b,2316,a),flip(a)]. 2320 a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (v5 * u)). [hyper(59,a,2261,a,b,2317,a)]. 2321 a(x,y,z \ (u * (z * w))) = a(x,y,z * ((z \ u) * w)). [hyper(59,a,2265,a(flip),b,2317,a),flip(a)]. 2322 a(x,y,z * (u \ T(w,v5))) = a(x,y,z * (u \ w)). [hyper(2277,a,2319,a)]. 2323 a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). [para(439(a,1),2320(a,1,3,2)),flip(a)]. 2324 a(x,y,z * (u \ (w / v5))) = a(x,y,z * (u \ (v5 \ w))). [para(90(a,1),2322(a,1,3,2,2)),flip(a)]. 2325 a(x,y,((z \ 1) * u) \ (z \ (w * u))) = a(x,y,L(T(w,u),u,z \ 1)). [para(151(a,1),2323(a,1,3)),flip(a)]. 2327 a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (u / w))). [hyper(59,a,2319,a(flip),b,2318,a),flip(a)]. 2329 a(x,y,(z * (u \ w)) \ v5) = a(x,y,v5 * (z \ (w \ u))). [hyper(189,a,2324,a(flip),b,2327,a),flip(a)]. 2330 a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(59,a,2314,a,b,2329,a)]. 2331 a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z). [para(61(a,1),2329(a,1,3,1,2)),flip(a)]. 2332 a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). [hyper(189,a,2314,a,b,2331,a),flip(a)]. 2333 a(x,y,(z * u) \ 1) = a(x,y,u \ (z \ 1)). [para(2(a,1),2332(a,1,3)),flip(a)]. 2334 a(x,y,((z \ 1) * u) \ w) = a(x,y,w * (u \ z)). [para(61(a,1),2330(a,2,3,2,2))]. 2335 a(x,y,((z \ 1) * u) \ (z \ (w * u))) != v5 | a(x,y,L(w,u,z \ 1)) = v5. [para(2325(a,2),2272(a,1))]. 2336 a(x,y,z * (K(u,w) * (v5 / (u * v6)))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(335(a,1),2268(a,1,3,2))]. 2337 a(x,y,z * ((u * w) \ (v5 * u))) = a(x,y,z * ((w \ (u \ v5)) * u)). [hyper(59,a,2288,a(flip),b,2269,a),flip(a)]. 2338 K(x,a(y,z,u)) \ a(x,a(y,z,u),x) = K(x * (L(u,z,y) \ u),x). [para(1744(a,1),2298(a,1,1))]. 2339 K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x). [hyper(1566,a,2338,a),flip(a)]. 2340 K(x * a(y,z,u),x) = a(w,v5,K(v6,v7)). [hyper(2311,a,2339,a),flip(a)]. 2341 K(x,x * a(y,z,u)) = a(w,v5,K(v6,v7)). [hyper(645,a,2340,a)]. 2344 K(x,x * a(y,z,u)) != w | a(K(v5,v6),v7,v8) = w. [para(2341(a,2),2232(a,1))]. 2345 a(x,y,(z \ (u * w)) * (w \ z)) != v5 | a(x,y,L(u,w,z \ 1)) = v5. [para(2334(a,1),2335(a,1))]. 2346 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * (v6 / (u * v5))). [hyper(2249,a,2336,a),flip(a)]. 2348 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * ((u * v5) \ v6)). [hyper(189,a,2253,a(flip),b,2346,a),flip(a)]. 2349 a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ v5)). [para(592(a,1),2348(a,1,3,2,1))]. 2350 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w \ ((u \ z) * (w * u))). [hyper(59,a,2262,a(flip),b,2266,a),flip(a)]. 2352 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w * ((w \ (u \ z)) * u)). [hyper(189,a,2321,a(flip),b,2350,a),flip(a)]. 2353 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(221(a,1),2174(a,1,1))]. 2354 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(2075(a,1),2353(a,1,1,2,2))]. 2355 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(59,a,2244,a(flip),b,2354,a)]. 2357 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(7(a,1),2355(a,1,2)),flip(a)]. 2358 L(a(x,y,x),z,u) = a(x,y,x). [hyper(59,a,2195,a(flip),b,2357,a),flip(a)]. 2360 a(x,y,a(z,u,z)) = 1. [hyper(49,a,2358,a)]. 2361 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [hyper(99,a,2358,a(flip),b,13,a(flip))]. 2362 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [para(2358(a,1),231(a,1,2,2))]. 2363 (x * y) / a(z,u,z) = x * (a(z,u,z) \ y). [para(2358(a,1),2163(a,1,2))]. 2364 a(x,y,a(z,u,z)) = w \ w. [hyper(189,a,62,a,b,2360,a),flip(a)]. 2365 L(x,a(y,z,y),u) = x. [hyper(2186,a,2364,a),flip(a)]. 2366 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(99,a,2365,a(flip),b,13,a(flip))]. 2368 a(x,y,x) * (z * u) = z * (u * a(x,y,x)). [hyper(59,a,2161,a,b,2361,a)]. 2369 (x * y) * a(z,u,z) = x * (a(z,u,z) * y). [para(2161(a,2),2361(a,2,2))]. 2370 x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y). [hyper(189,a,2161,a,b,2362,a),flip(a)]. 2371 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(2167,a,2363,a)]. 2373 (x * y) \ (x * (a(z,u,z) * (y * w))) = L(w * a(z,u,z),y,x). [para(2368(a,2),13(a,2,2,2)),flip(a)]. 2374 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [para(2161(a,2),2368(a,2,2))]. 2375 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [para(2161(a,2),2370(a,1,2))]. 2376 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). [para(2369(a,1),2370(a,1,2))]. 2377 K(x,y) * (a(z,u,z) \ T(y,x)) = a(z,u,z) \ y. [para(472(a,1),2371(a,1,2)),flip(a)]. 2378 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [hyper(189,a,2366,a,b,2374,a)]. 2379 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(2161(a,2),2378(a,1,1))]. 2380 L(x,y,a(z,u,z)) = x. [hyper(234,a,2379,a)]. 2381 x \ (a(y,z,y) * (u * x)) = T(a(y,z,y) * u,x). [hyper(219,a,xx,b,2379,a),flip(a)]. 2382 ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). [para(2379(a,1),15(a,2,1,1)),flip(a)]. 2383 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(2380(a,1),260(a,1,2))]. 2384 a(x,y,x) * (z \ (u * z)) = T(a(x,y,x) * u,z). [hyper(59,a,2375,a(flip),b,2381,a)]. 2385 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(17(a,2),2384(a,1,2)),flip(a)]. 2386 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(2161(a,1),2385(a,1,1))]. 2387 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(97,a,2386,a,b,xx)]. 2389 T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). [para(2160(a,1),2387(a,1,2,1)),flip(a)]. 2390 K(x,y) * T(a(z,u,z) \ y,x) = a(z,u,z) \ y. [para(2389(a,2),2377(a,1,2))]. 2391 K(x,a(y,z,y) \ u) = K(x,u). [hyper(485,a,2390,a)]. 2392 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [hyper(59,a,1738,a,b,2391,a)]. 2393 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [hyper(59,a,1797,a(flip),b,2391,a),flip(a)]. 2394 K(x,a(y,z,y) * u) = K(x,u). [para(4(a,1),2391(a,1,2)),flip(a)]. 2395 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(1961(a,1),2391(a,1,2)),flip(a)]. 2396 K(x,K(y * z,y) * u) = K(x,K(z,y) * u). [para(1564(a,1),2394(a,1,2))]. 2397 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(2173(a,1),2394(a,1,2)),flip(a)]. 2398 K(x,y * (z * a(u,w,u))) = K(x,y * z). [para(2368(a,1),2394(a,1,2))]. 2399 K(x,y \ (z * a(u,w,u))) = K(x,y \ z). [para(2370(a,2),2394(a,1,2))]. 2400 K(x,(y * a(z,u,z)) * w) = K(x,y * w). [para(2378(a,2),2394(a,1,2))]. 2401 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(1017(a,1),2397(a,1,2,1)),flip(a)]. 2402 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(1569(a,1),2392(a,1,2,1))]. 2403 K(x,T(y * z,y) / u) = K(x,(z * y) / u). [para(1577(a,1),2393(a,1,2,1))]. 2404 K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). [para(2200(a,1),2398(a,1,2))]. 2405 K(x,y \ K(z,z * u)) = K(x,y \ K(z,u)). [para(1562(a,1),2399(a,1,2,2)),flip(a)]. 2406 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [para(1584(a,1),2400(a,1,2,1))]. 2407 K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). [para(1872(a,1),2400(a,1,2,1))]. 2408 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(5(a,1),2395(a,1,2,2,1)),flip(a)]. 2409 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(5(a,1),2396(a,1,2,1,1)),flip(a)]. 2410 K(x,K(y \ 1,z) * u) = K(x,K(y \ z,z) * u). [para(1294(a,1),2396(a,1,2,1)),flip(a)]. 2411 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),2402(a,1,2,1,1)),flip(a)]. 2412 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [para(5(a,1),2403(a,1,2,1,1)),flip(a)]. 2413 K(x,K(y \ z,z) * u) = K(x,K(y \ z,y) * u). [para(553(a,1),2404(a,1,2,1)),flip(a)]. 2414 K(x,(y \ z) \ K(y,u)) = K(x,z \ T(y,y * u)). [hyper(59,a,1794,a(flip),b,2405,a),flip(a)]. 2415 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(1210(a,1),2406(a,1,2,1))]. 2416 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(607(a,1),2408(a,1,2,2))]. 2417 K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,z * u)). [para(1765(a,1),2408(a,1,2,2))]. 2418 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(607(a,1),2411(a,1,2,1))]. 2419 K(x,(y * (z / y)) / u) = K(x,T(z,y) / u). [para(607(a,1),2412(a,1,2,1))]. 2420 K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). [hyper(59,a,1850,a,b,2416,a)]. 2421 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(6(a,1),2418(a,1,2,1,2)),flip(a)]. 2422 K(x,T(y * z,z) / u) = K(x,(z * y) / u). [para(6(a,1),2419(a,1,2,1,2)),flip(a)]. 2423 K(x,(y * ((y \ z) / y)) / u) = K(x,(z / y) / u). [para(590(a,1),2419(a,2,2,1))]. 2424 K(x,((y * (z * y)) / y) \ u) = K(x,(y * z) \ u). [hyper(59,a,1859,a,b,2421,a)]. 2425 K(x,((y * z) / y) * u) = K(x,(y * (z / y)) * u). [para(260(a,1),2407(a,1,2,1)),flip(a)]. 2426 K(x,K(y \ z,z) * u) = K(x,K(z,y) * u). [hyper(189,a,2409,a(flip),b,2413,a),flip(a)]. 2427 K(x,K(y \ 1,z) * u) = K(x,K(z,y) * u). [hyper(59,a,2410,a,b,2426,a)]. 2428 K(x,T(y,z \ 1) \ u) = K(x,K(y,z) * (y \ u)). [para(533(a,1),2427(a,1,2))]. 2429 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [hyper(59,a,1794,a(flip),b,2414,a),flip(a)]. 2430 K(x,T(y / ((z / T(u,z)) * T(u,z)),z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). [para(1213(a,1),2420(a,2,2,1))]. 2431 K(x,T(y \ z,y) / u) = K(x,(z / y) / u). [hyper(59,a,2419,a(flip),b,2423,a)]. 2432 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(59,a,1628,a(flip),b,2425,a),flip(a)]. 2433 K(x,T(y,z \ 1) \ u) = K(x,((z * y) / z) \ u). [para(743(a,2),2428(a,2,2))]. 2434 K(x,T(y * z,z \ 1) \ u) = K(x,(z * y) \ u). [hyper(189,a,2424,a(flip),b,2433,a),flip(a)]. 2435 K(x,T(((y * z) \ y) * (y * z),K(z \ 1,y * z) \ 1) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(1765(a,2),2434(a,1,2,1,1))]. 2436 K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,u)). [hyper(189,a,2429,a(flip),b,2417,a),flip(a)]. 2437 K(x,y \ (z * K(((u \ w) \ 1) \ 1,z * ((u \ w) \ 1)))) = K(x,y \ T(z,w \ u)). [para(1755(a,1),2436(a,2,2,2))]. 2438 a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(x,y,x),u,z). [hyper(59,a,2376,a(flip),b,2373,a)]. 2439 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(2379(a,1),2382(a,1,1))]. 2440 L(x * a(y,z,y),u,w) = a(y,z,y) * L(x,u,w). [para(13(a,2),2438(a,1,2)),flip(a)]. 2441 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(2161(a,2),2440(a,1,1))]. 2442 K(x,L(a(y,z,y) * u,w,v5)) = K(x,L(u,w,v5)). [para(2441(a,2),2394(a,1,2))]. 2444 K(x,L(T(y * z,y),u,w)) = K(x,L(z * y,u,w)). [para(1577(a,1),2442(a,1,2,1))]. 2446 K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). [hyper(59,a,1538,a(flip),b,2444,a)]. 2448 K(x,L(y * z,u,w)) = K(x,(y * v5) / ((z \ 1) * v5)). [hyper(59,a,1775,a(flip),b,2446,a),flip(a)]. 2449 a(x,y,K(z,u)) * K(w,(v5 * v6) / ((v7 \ 1) * v6)) = K(w,v5 * v7). [para(2448(a,1),1735(a,1,2))]. 2450 a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). [hyper(59,a,2383,a(flip),b,2439,a)]. 2451 a(x,y,K(z,u)) * K(w,T(v5,v6) / ((v7 \ 1) * v6)) = K(w,(v6 \ v5) * v7). [para(2412(a,1),2449(a,1,2))]. 2452 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(15(a,2),2450(a,1,2)),flip(a)]. 2453 a(x,y,x) \ R(a(x,y,x) * z,u,w) = R(z,u,w). [hyper(97,a,2452,a,b,xx)]. 2455 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(2453(a,1),969(a,1,1)),flip(a)]. 2456 a(x,R(y,z,u),x) = a(x,y,x). [hyper(1898,a,2455,a)]. 2457 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(59,a,1989,a(flip),b,2456,a)]. 2460 a(x,(y / z) \ u,x) = a(x,y \ (u * z),x). [para(7(a,1),2457(a,1,2,1)),flip(a)]. 2461 a(x,y \ (z * u),x) \ x = L(x,(y / u) \ z,x). [para(2460(a,1),1856(a,1,1))]. 2462 L(x,(y / z) \ u,x) = L(x,y \ (u * z),x). [hyper(1867,a,2461,a),flip(a)]. 2463 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [para(6(a,1),2462(a,1,2,1)),flip(a)]. 2464 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(59,a,2020,a(flip),b,2463,a)]. 2465 L(x,R(y,z,u),x) = L(x,y,x). [para(4(a,1),2464(a,2,2))]. 2466 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(59,a,2047,a(flip),b,2465,a),flip(a)]. 2467 K(x,y \ ((z \ u) * (w / (z \ u)))) = K(x,y \ T(w,u \ z)). [para(1277(a,1),2437(a,1,2,2))]. 2468 K(x,(y * K(z \ 1,z * y)) \ T(u,y \ (z * y))) = K(x,T(u / y,z * y)). [hyper(59,a,2131,a(flip),b,2467,a),flip(a)]. 2469 K(x,(y * K(z \ 1,z * y)) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). [para(17(a,2),2468(a,1,2,2,2))]. 2470 K(x,T(y / z,z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). [para(7(a,1),2430(a,1,2,1,2))]. 2471 K(x,(y * (z / y)) \ T(u,T(y,z))) = K(x,T(u / z,y \ z)). [para(1124(a,1),2470(a,1,2)),flip(a)]. 2472 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(59,a,2418,a(flip),b,2471,a)]. 2473 K(x,T(((y * z) \ y) * (y * z),K(y * z,z \ 1)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(499(a,1),2435(a,1,2,1,2))]. 2474 K(x,T(((y * z) \ y) * (y * z),K(z,y * z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(1525(a,1),2473(a,1,2,1))]. 2475 K(x,T(((y * z) \ y) * (y * z),K(y,z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). [para(1516(a,1),2474(a,1,2,1))]. 2476 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,(((z * y) \ z) * (z * y)) \ u). [para(1711(a,1),2475(a,1,2,1)),flip(a)]. 2477 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,z * y) \ u). [hyper(189,a,2411,a(flip),b,2476,a),flip(a)]. 2479 K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,y) \ u). [hyper(189,a,2401,a(flip),b,2477,a),flip(a)]. 2480 K(x,(y * K(z \ 1,z * y)) \ u) = K(x,T(y,z) \ u). [para(1676(a,1),2479(a,1,2,1))]. 2481 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). [hyper(59,a,2469,a(flip),b,2480,a),flip(a)]. 2482 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [hyper(59,a,2472,a(flip),b,2481,a)]. 2483 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(6(a,1),2482(a,1,2,1)),flip(a)]. 2484 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(6(a,1),2483(a,1,2,1)),flip(a)]. 2485 K(x,y) * K(y,T(x,z * u)) = K(y,K(x,z \ u)). [para(2484(a,1),1488(a,1,2))]. 2486 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(1493,a,2485,a),flip(a)]. 2488 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(59,a,1779,a,b,2486,a)]. 2489 K(x,K(y,z * u)) = K(x,K(y,u * z)). [hyper(59,a,2486,a(flip),b,2488,a)]. 2490 K(x,K(y,z * (u / z))) = K(x,K(y,u)). [para(7(a,1),2489(a,1,2,2)),flip(a)]. 2491 K(x,K(y,T(z,u))) = K(x,K(y,z)). [para(1683(a,1),2490(a,1,2))]. 2492 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(1395,a,2491,a)]. 2495 T(x,K(y,K(z,u))) = x. [hyper(50,a,2492,a)]. 2496 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(1900,a,2495,a)]. 2498 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(189,a,1581,a(flip),b,2496,a),flip(a)]. 2499 K(x,y * (z \ K(y,u))) = K(x,T(y,u) / z). [para(481(a,1),2498(a,1,2)),flip(a)]. 2500 K(x,(y \ z) * (u \ K(z / T(y,z),w))) = K(x,T(z / T(y,z),w) / u). [hyper(59,a,2415,a(flip),b,2499,a)]. 2501 K(x,(y \ z) * (u \ K(y \ z,w))) = K(x,T(z / T(y,z),w) / u). [para(891(a,1),2500(a,1,2,2,2))]. 2502 K(x,T(y / T(z,y),u) / w) = K(x,T(z \ y,u) / w). [hyper(59,a,2499,a(flip),b,2501,a),flip(a)]. 2503 K(x,T(T(y,z) / z,u) / w) = K(x,T(z \ y,u) / w). [para(1210(a,2),2502(a,1,2,1,1))]. 2504 K(x,T(y \ z,y) / u) = K(x,(y \ T(z,y)) / u). [para(90(a,1),2503(a,1,2,1)),flip(a)]. 2505 K(x,(y \ T(z,y)) / u) = K(x,(z / y) / u). [hyper(59,a,2431,a(flip),b,2504,a),flip(a)]. 2506 K(x,(y * (z \ 1)) / u) = K(x,(y / z) / u). [para(598(a,1),2505(a,1,2,1))]. 2507 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(2176(a,1),2245(a,2,2,1,1))]. 2508 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(189,a,921,a(flip),b,2507,a),flip(a)]. 2509 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(2039(a,1),2508(a,2,2))]. 2510 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(390(a,1),2509(a,2,2,1))]. 2511 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(412(a,1),2510(a,2,2,1,2))]. 2512 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(921(a,1),2511(a,1,1))]. 2513 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(2452(a,2),2512(a,1,1,2))]. 2514 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(5(a,1),2513(a,1,1,2,1)),flip(a)]. 2515 R(x,y \ R(y,z,u),x) = x. [hyper(1457,a,2514,a)]. 2516 L(x,y \ R(y,z,u),x) = x. [hyper(1010,a,2515,a)]. 2517 L(x,a(y,z,u),x) = x. [hyper(59,a,2466,a(flip),b,2516,a)]. 2519 a(x,a(y,z,u),x) = 1. [hyper(49,a,2517,a)]. 2520 x * a(y,a(z,u,w),y) = x. [hyper(99,a,2519,a,b,62,a)]. 2521 a(x,a(y,z,u),L(x,w,v5)) = 1. [hyper(59,a,2078,a,b,2519,a)]. 2522 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(59,a,1562,a(flip),b,2520,a),flip(a)]. 2523 K(x,a(y,z,u)) = a(K(w,v5),v6,v7). [hyper(2344,a,2522,a),flip(a)]. 2524 K(a(x,y,z),u) = a(K(w,v5),v6,v7). [hyper(645,a,2523,a)]. 2526 K(a(x,y,z),u) = 1. [hyper(189,a,2521,a(flip),b,2524,a),flip(a)]. 2528 K(a(x,y,z),u) * w = w. [para(2524(a,2),1191(a,1,1))]. 2529 T(a(x,y,z),u) = a(x,y,z). [hyper(52,a,2526,a)]. 2531 a(x,y,z) \ (u * a(x,y,z)) = u. [hyper(842,a,2528,a)]. 2532 x \ (a(y,z,u) * x) = a(y,z,u). [hyper(841,a,2528,a)]. 2533 (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. [hyper(799,a,2528,a)]. 2534 T(x,a(y,z,u)) = x. [hyper(655,a,2528,a)]. 2535 x / a(y,z,u) = a(y,z,u) \ x. [hyper(650,a,2528,a)]. 2536 a(x,y,z) * u = u * a(x,y,z). [hyper(640,a,2528,a),flip(a)]. 2537 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(59,a,635,a(flip),b,2528,a)]. 2538 (a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w. [hyper(97,a,2528,a(flip),b,787,a)]. 2539 a(x,y,z) * u != w | u * a(x,y,z) = w. [para(2528(a,1),640(a,1)),flip(a)]. 2542 (a(x,y,z) \ u) \ u = a(x,y,z). [hyper(763,a,2534,a)]. 2543 1 / (a(x,y,z) \ u) = a(x,y,z) / u. [hyper(687,a,2534,a)]. 2545 T(x,L(y,z,u) \ y) = x. [hyper(59,a,1760,a,b,2534,a)]. 2546 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [hyper(97,a,2534,a(flip),b,610,a(flip)),flip(a)]. 2547 T(x,a(y,z,u)) != w | x = w. [para(2534(a,1),45(a,2))]. 2548 a(x,y,z) \ u != w | w * a(x,y,z) = u. [para(2534(a,1),109(a,1)),flip(a)]. 2550 a(x,y,z) * (u \ 1) = u \ a(x,y,z). [para(2534(a,1),667(a,1,1)),flip(a)]. 2551 (a(x,y,z) / u) \ 1 = a(x,y,z) \ u. [para(2534(a,1),674(a,1,1))]. 2553 (1 / x) * a(y,z,u) = a(y,z,u) / x. [para(2534(a,1),1211(a,1,2)),flip(a)]. 2555 x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. [para(2534(a,1),1757(a,1,1))]. 2557 (L(x,y,z) \ x) * u = u * (L(x,y,z) \ x). [hyper(99,a,2545,a(flip),b,17,a(flip))]. 2559 L(a(x,y,z),u,u) = a(x,y,z). [hyper(1997,a,2529,a)]. 2562 x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. [para(2529(a,1),673(a,1,1)),flip(a)]. 2564 ((x * y) * a(z,u,w)) / x = x * (y * (x \ a(z,u,w))). [para(2529(a,1),934(a,1,1,2))]. 2565 (x * a(y,z,u)) * T(w,x) = w * T(x * a(y,z,u),x). [para(2529(a,1),960(a,1,2,1,2)),flip(a)]. 2566 T(x \ L(x,y,z),u) = a(x \ 1,z,y). [para(2180(a,1),2529(a,1,1))]. 2567 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [hyper(97,a,2559,a(flip),b,1149,a),flip(a)]. 2568 (a(x,y,z) * u) \ a(x,y,z) = u \ 1. [hyper(97,a,2559,a(flip),b,948,a)]. 2569 L(L(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(2559(a,1),25(a,1,1)),flip(a)]. 2570 x * (a(y,z,u) * w) = x * (w * a(y,z,u)). [para(2531(a,1),116(a,1,2,2))]. 2571 (a(x,y,z) * u) \ (T(u,a(x,y,z)) * (w * a(x,y,z))) = L(w,a(x,y,z),u). [para(2531(a,1),1004(a,2,1))]. 2572 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(34,a,9,a(flip),b,2532,a),flip(a)]. 2574 x * (y * a(z,u,w)) != v5 | x * (a(z,u,w) * y) = v5. [para(2532(a,1),199(a,1,2,2))]. 2575 x \ ((x / y) * (a(z,u,w) * y)) = L(a(z,u,w),y,y \ x). [para(2532(a,1),1014(a,1,1)),flip(a)]. 2576 K(x,y) \ (a(z,u,w) * (x * v5)) = (T(x,y) * v5) * a(z,u,w). [hyper(97,a,2536,a,b,695,a)]. 2578 K(x,y) * (a(z,u,w) * y) = T(y,x) * a(z,u,w). [para(2536(a,2),494(a,1,2))]. 2579 T(x * y,a(z,u,w)) \ ((x * a(z,u,w)) * y) = R(a(z,u,w),x,y). [para(2536(a,1),1276(a,2,2,1)),flip(a)]. 2580 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [hyper(99,a,2542,a(flip),b,1256,a),flip(a)]. 2583 T(a(x,y,z) \ u,u) = a(x,y,z) \ u. [hyper(1220,a,2543,a)]. 2584 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [hyper(97,a,2531,a(flip),b,2546,a)]. 2586 (x * (a(y,z,u) \ (x \ w))) * x = w * T(x * (a(y,z,u) \ 1),x). [para(2546(a,1),927(a,1,1,2))]. 2587 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * ((a(y,z,u) \ 1) * x)) / x. [para(2546(a,1),964(a,1,2))]. 2588 (x \ a(y,z,u)) * K(w,v5) = a(y,z,u) * (x \ K(w,v5)). [para(2550(a,1),1180(a,1,1))]. 2589 a(x,y,z) / (u \ 1) = u * a(x,y,z). [hyper(59,a,133,a(flip),b,2553,a),flip(a)]. 2590 (1 / x) \ ((a(y,z,u) / x) * w) = (a(y,z,u) * (w * x)) / x. [para(2553(a,1),371(a,1,2,1))]. 2591 a(x,y,z) \ 1 != u \ w | a(x,y,z) \ u = w. [para(2562(a,1),43(a,1))]. 2592 a(x \ 1,y,z) != u | x \ L(x,z,y) = u. [para(2566(a,1),192(a,1))]. 2593 L(x \ L(x,y,z),u,w) * v5 = v5 * L(a(x \ 1,z,y),u,w). [para(2566(a,1),154(a,1,2,1)),flip(a)]. 2594 L(x \ L(x,y,z),u,w) * (w * u) = w * (u * a(x \ 1,z,y)). [para(2566(a,1),307(a,1,2,2)),flip(a)]. 2595 (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). [hyper(31,a,1245,a(flip),b,2567,a),flip(a)]. 2597 (x \ (y \ x)) * a(z,u,w) = T(y,x) \ a(z,u,w). [para(673(a,1),2567(a,1,1))]. 2598 ((1 / x) * (a(y,z,u) \ 1)) \ (w / x) = ((x * w) * a(y,z,u)) / x. [para(2580(a,1),386(a,2,1))]. 2599 a(x,y,z) \ 1 != u \ w | w * a(x,y,z) = u. [para(2584(a,1),44(a,1))]. 2600 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [para(76(a,1),2584(a,1,1))]. 2601 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [para(2584(a,1),1246(a,1,1))]. 2602 T(x * a(y,z,u),x) = x * a(y,z,u). [hyper(434,a,2589,a)]. 2603 (a(x,y,z) \ u) \ T(w,a(x,y,z) \ u) = w * (u \ a(x,y,z)). [para(2595(a,1),598(a,2,2))]. 2604 T(a(x,y,z) \ u,w) \ w = w * (u \ a(x,y,z)). [para(2595(a,1),667(a,2,2))]. 2605 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = (u \ a(x,y,z)) * (w * (a(x,y,z) \ u)). [para(2595(a,1),1595(a,1,1)),flip(a)]. 2606 T(x,a(y,z,u) \ 1) = x. [hyper(156,a,2546,a,b,2601,a)]. 2607 L(x,a(y,z,u),a(y,z,u)) = x. [hyper(30,a,1154,a,b,2601,a)]. 2608 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((w * (a(x,y,z) \ 1)) * u). [para(2601(a,1),427(a,1,1))]. 2609 (x \ 1) \ (((x \ 1) * (a(y,z,u) \ 1)) * w) = (a(y,z,u) \ (w * x)) / x. [para(2601(a,1),964(a,2,1))]. 2610 T(x,a(y,z,u) \ 1) != w | x = w. [para(2606(a,1),45(a,2))]. 2611 L(x,a(y,z,u),a(y,z,u)) != w | x = w. [para(2607(a,1),46(a,2))]. 2612 x * T(y * a(z,u,w),y) = x * (y * a(z,u,w)). [hyper(99,a,2602,a,b,4,a)]. 2615 ((x * y) * y) / (y * (y * x)) = a(x,y,y). [para(751(a,1),2537(a,2,2)),flip(a)]. 2616 ((x * y) * y) / (y * (y * x)) = a(y,y,x). [para(938(a,2),2537(a,2,1)),flip(a)]. 2617 ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. [hyper(98,a,2572,a(flip),b,81,a)]. 2619 a(x,y,y) = a(y,y,x). [hyper(59,a,2615,a(flip),b,2616,a)]. 2620 K(x,y * y) = a(x,y,y). [hyper(189,a,815,a,b,2619,a)]. 2621 x * (a(x,y,y) * z) = L(x,y,y) * z. [para(2619(a,2),836(a,1,2,1))]. 2622 L(x,y,z) * a(x,u,u) = L(L(x,u,u),y,z). [para(2620(a,1),1717(a,1,2))]. 2623 a(x,y,z * a(u,w,w)) = a(x,y,z). [para(2620(a,1),2252(a,1,3,2))]. 2626 x \ (L(x,y,y) * z) = z * a(x,y,y). [hyper(97,a,2621,a(flip),b,2570,a(flip))]. 2627 x \ (y * L(x,z,z)) = T(y,x) * a(x,z,z). [para(1751(a,1),2626(a,1,2))]. 2628 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(59,a,2197,a(flip),b,2600,a),flip(a)]. 2629 L(x,y,z) * a(z,y,x) = x. [hyper(2599,a,2628,a)]. 2630 L(x,y,z) = a(z,y,x) \ x. [hyper(2591,a,2628,a),flip(a)]. 2631 a(x \ 1,y,z) = a(y,z,x) \ 1. [hyper(189,a,2180,a,b,2628,a)]. 2633 a(x,y,z) = L(z,y,x) \ z. [hyper(35,a,1799,a,b,2628,a),flip(a)]. 2634 x * (y \ L(y,z,u)) = a(u,z,y) \ x. [hyper(99,a,2628,a(flip),b,2562,a)]. 2635 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [para(2628(a,1),2601(a,1,1))]. 2636 L(x,y,z) != L(L(u,y,z),w,v5) * a(v5,w,L(u,y,z)) | u = x. [para(2629(a,2),46(a,1)),flip(a)]. 2638 L(x,y,z) \ x != u | a(z,y,x) = u. [para(2629(a,1),198(a,1,2))]. 2640 L(x,y,a(z,u,(w \ v5) \ v6) \ (v6 * (v5 \ w))) = L(x,y,L((w \ v5) \ v6,u,z)). [para(2630(a,2),1888(a,1,3)),flip(a)]. 2641 a(x,y,z) = z * (L(z,y,x) \ 1). [hyper(189,a,440,a,b,2633,a),flip(a)]. 2643 L(x,y,z) * a(z,y,x) != u | x = u. [para(2633(a,2),164(a,1,2))]. 2644 (x * a(y,z,u)) \ x = a(u \ 1,y,z). [hyper(189,a,2584,a,b,2631,a)]. 2645 x \ (a(y,z,u) \ x) = a(u \ 1,y,z). [hyper(189,a,2562,a,b,2631,a)]. 2646 x * a(y \ 1,z,u) = a(z,u,y) \ x. [hyper(99,a,2631,a,b,2562,a)]. 2647 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(z \ 1,x,y),w,u). [para(2631(a,2),2180(a,1,1)),flip(a)]. 2648 a(x \ 1,y,z) \ u = u * a(y,z,x). [para(2631(a,2),2580(a,1,1))]. 2649 a(x \ 1,y,z) * u = a(y,z,x) \ u. [para(2631(a,2),2601(a,1,1))]. 2652 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [hyper(2243,a,2634,a)]. 2653 a(x,y,z) \ (z * u) = L(z,y,x) * u. [hyper(2157,a,2634,a),flip(a)]. 2655 a(x,y,z) \ (u * z) = u * L(z,y,x). [hyper(59,a,2194,a(flip),b,2634,a),flip(a)]. 2656 a(x,y,z) * (u * L(z,y,x)) = u * z. [hyper(99,a,2194,a(flip),b,2634,a(flip))]. 2657 a(x,y,z) * (L(z,y,x) * u) = z * u. [hyper(99,a,2154,a(flip),b,2634,a(flip))]. 2658 a(x,y,z) \ z != u | L(z,y,x) = u. [para(2634(a,1),164(a,1))]. 2659 (x \ L(x,y,z)) \ u = a(z,y,x) * u. [hyper(97,a,4,a(flip),b,2635,a)]. 2660 a(x,y,z) \ u != (z \ L(z,y,x)) * w | w = u. [para(2635(a,1),39(a,2)),flip(a)]. 2661 L(x,y,z \ 1) = x * a(y,x,z). [hyper(35,a,2633,a(flip),b,2644,a)]. 2662 (x * (L(y,z,u) \ y)) \ x = a(y \ 1,u,z). [para(2633(a,1),2644(a,1,1,2))]. 2663 x * a(y,x,z \ u) = L(x,y,u \ z). [hyper(1548,a,2661,a),flip(a)]. 2664 L(x,y,z) = x * a(y,x,z \ 1). [hyper(1039,a,2661,a)]. 2666 x \ L(x,y,z \ u) = a(y,x,u \ z). [hyper(97,a,1054,a(flip),b,2661,a(flip))]. 2667 a(x,y,z \ 1) = y \ L(y,x,z). [hyper(97,a,1005,a(flip),b,2661,a(flip)),flip(a)]. 2668 x \ L(x,y,z \ 1) != u | a(y,x,z) = u. [para(2661(a,2),198(a,1,2))]. 2669 a(x,y \ 1,z \ 1) = a(y,z,x). [hyper(2190,a,2664,a),flip(a)]. 2670 x \ L(x,y,z) != u | a(y,x,z \ 1) = u. [para(2664(a,2),198(a,1,2))]. 2672 a(x,y,z \ 1) = a(z,x,y) \ 1. [hyper(189,a,2628,a,b,2667,a),flip(a)]. 2673 a(x \ 1,y,z) = a(z,x,y \ 1). [hyper(189,a,2180,a,b,2667,a)]. 2674 a(x,y \ z,u \ 1) = a(z \ y,u,x). [hyper(189,a,2184,a(flip),b,2667,a),flip(a)]. 2675 a(x,y,z \ (u \ 1)) = y \ L(y,x,u * z). [hyper(59,a,2333,a(flip),b,2667,a)]. 2676 x * a(y,z,u \ 1) = a(u,y,z) \ x. [para(2667(a,2),2634(a,1,2))]. 2677 a(x,y,z \ 1) * u = a(z,x,y) \ u. [para(2667(a,2),2635(a,1,1))]. 2678 a(x,y,y) \ 1 = a(x,y,y). [hyper(59,a,2189,a(flip),b,2672,a),flip(a)]. 2679 a(x,y,z \ 1) \ u = u * a(z,x,y). [para(2672(a,2),2580(a,1,1))]. 2680 a(x,y,y) \ 1 = a(y,y,x). [hyper(189,a,2619,a(flip),b,2678,a),flip(a)]. 2681 a(x,y,y) \ z = z * a(x,y,y). [hyper(99,a,2678,a(flip),b,2562,a),flip(a)]. 2682 x \ L(x,x,y) = a(x,x,y). [hyper(59,a,2628,a(flip),b,2680,a)]. 2683 a(x,x,y) != x \ z | L(x,x,y) = z. [para(2682(a,1),43(a,1))]. 2684 a(x \ 1,y \ z,u) = a(u,x,z \ y). [hyper(189,a,2278,a(flip),b,2673,a),flip(a)]. 2685 a(x \ (y \ 1),z,u) = a(u,y * x,z \ 1). [hyper(59,a,1651,a(flip),b,2673,a)]. 2686 a(x \ 1,y \ z,u) != w | a(u,x,z \ y) = w. [para(2673(a,2),2283(a,1))]. 2688 (x * a(y,z,z)) \ u = (x \ u) * a(y,z,z). [hyper(59,a,2192,a,b,2681,a)]. 2690 a(x \ y,z,u) \ w = w * a(z,u,y \ x). [para(1400(a,1),2648(a,1,1))]. 2691 a(x,y,z \ 1) \ u = a(z,x,y) * u. [para(898(a,1),2649(a,1,1)),flip(a)]. 2693 a(x,y,z) \ (u \ z) = u \ L(z,y,x). [hyper(59,a,1841,a(flip),b,2652,a),flip(a)]. 2694 x * (a(y,z,x) \ u) = L(x,z,y) * u. [hyper(99,a,2652,a(flip),b,868,a)]. 2695 (x * L(y,z,u)) * a(u,z,y) = x * y. [hyper(2548,a,2655,a)]. 2696 (x * L(y,z,u)) \ (x * y) = a(u,z,y). [para(2655(a,1),2542(a,1,1))]. 2697 (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. [para(2633(a,1),2659(a,2,1))]. 2698 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(u * (z * w)) \ z). [hyper(97,a,1695,a(flip),b,2663,a)]. 2699 x \ L(x,y,(z \ u) * w) = a(y,x,w \ (u \ z)). [hyper(97,a,1053,a(flip),b,2663,a)]. 2702 (x * a(y,z,u)) \ 1 = x \ a(z,u,y \ 1). [para(2679(a,1),2595(a,1,1))]. 2704 a(x \ 1,y \ (z \ 1),u) != w | a(u,x,z * y) = w. [para(2684(a,2),2282(a,1))]. 2705 a(x,y,z \ u) != w | y \ L(y,x,u \ z) = w. [para(2684(a,1),2592(a,1))]. 2706 a(x,y,z \ 1) \ u != w | u * a(z,x,y) = w. [para(2691(a,2),2539(a,1))]. 2707 a(x,y,z) \ u != w \ L(z,y,x) | w \ z = u. [para(2693(a,1),43(a,1)),flip(a)]. 2708 a(x,y,z) * (z \ u) = L(z,y,x) \ u. [hyper(270,a,2694,a),flip(a)]. 2709 a(x,y,z) \ (L(z,y,x) \ u) = z \ u. [hyper(97,a,5,a(flip),b,2694,a),flip(a)]. 2710 x * (y * a(x \ 1,z,u)) = L(x,u,z) * y. [para(2646(a,2),2694(a,1,2))]. 2711 ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). [hyper(97,a,81,a(flip),b,2695,a)]. 2712 (x / L(y,z,u)) * y = x * a(u,z,y). [hyper(59,a,114,a(flip),b,2695,a),flip(a)]. 2713 L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). [para(2695(a,1),13(a,2,2,2))]. 2714 (x * L(y,z,u)) \ (x * y) != w | a(u,z,y) = w. [para(2695(a,1),198(a,1,2))]. 2716 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [hyper(2539,a,2708,a)]. 2718 (x \ y) \ (L(x,z,u) \ y) = a(u,z,x). [hyper(97,a,2708,a(flip),b,2536,a(flip))]. 2719 a(x,y,L(z,u,w)) * (L(z,u,w) \ v5) = L(L(z,y,x),u,w) \ v5. [para(25(a,1),2708(a,2,1))]. 2721 L(1 / x,y,z) \ L(u,x,x) = a(z,y,1 / x) * (x * u). [para(951(a,1),2708(a,1,2)),flip(a)]. 2722 a(x \ 1,y,z) \ (x \ u) = L(x,z,y) \ u. [hyper(97,a,2709,a(flip),b,2649,a)]. 2724 x * (L(x,y,z) \ u) = u * a(z,y,x). [hyper(59,a,1764,a(flip),b,2712,a)]. 2725 (x \ y) * a(x,x,z) = L(x,x,z) \ y. [para(2619(a,1),2716(a,1,2))]. 2726 (x \ y) * a(x,z,z) = L(x,z,z) \ y. [para(2619(a,2),2716(a,1,2))]. 2727 a(x,y,z) \ (u * a(w,v5,z)) = L(z,y,x) * (L(z,v5,w) \ u). [hyper(97,a,2724,a(flip),b,2657,a)]. 2728 x * (L(y,z,u) \ y) = y * (L(y,z,u) \ x). [para(2633(a,1),2724(a,2,2)),flip(a)]. 2729 L(x,x,y) \ (x * z) = z * a(x,x,y). [para(4(a,1),2725(a,1,1)),flip(a)]. 2730 L((x \ y) * a(x,z,z),a(u,w,w),v5) = L(x,z,z) \ y. [hyper(2193,a,2726,a)]. 2731 L(x \ 1,y,y) = L(x,y,y) \ 1. [hyper(59,a,2185,a(flip),b,2726,a)]. 2732 L(x * (y / x),x,x) \ 1 = x * (y \ (1 / x)). [hyper(59,a,1625,a(flip),b,2731,a),flip(a)]. 2733 x * (L(y,x,x) \ 1) = T((y \ 1) * x,x). [hyper(99,a,2731,a(flip),b,946,a)]. 2734 T(x,y * y) \ 1 = L(x \ 1,y,y). [para(752(a,2),2731(a,2,1)),flip(a)]. 2735 T(x \ 1,y * y) = T(x,y * y) \ 1. [hyper(189,a,752,a,b,2734,a)]. 2736 ((x * x) * y) \ (x * x) = y \ 1. [hyper(1252,a,2735,a)]. 2737 (x * x) / (y \ 1) = (x * x) * y. [hyper(139,a,2736,a)]. 2738 ((x * x) / y) \ 1 = y / (x * x). [hyper(59,a,1249,a(flip),b,2736,a),flip(a)]. 2739 ((x * x) \ y) \ 1 = y \ (x * x). [para(5(a,1),2736(a,1,1)),flip(a)]. 2740 (x * y) \ (y * y) = (x / y) \ 1. [para(939(a,1),2736(a,1,1))]. 2741 (x \ 1) * (y * y) = x \ (y * y). [para(2736(a,1),1246(a,1,1))]. 2742 (x * x) * (1 / y) = (x * x) / y. [para(73(a,1),2737(a,1,2)),flip(a)]. 2743 ((x * x) / y) \ 1 = x \ (x \ y). [hyper(189,a,754,a(flip),b,2738,a),flip(a)]. 2744 T(x / (y * y),x) = (y * y) \ x. [para(2738(a,1),1222(a,1,1))]. 2745 T((x / y) \ y,y) = x \ (y * y). [hyper(59,a,1229,a,b,2739,a)]. 2746 x * (x * (y \ 1)) = y \ (x * x). [hyper(59,a,751,a(flip),b,2741,a)]. 2747 1 / T(x,y * y) = T(1 / x,y * y). [hyper(156,a,1211,a(flip),b,2742,a),flip(a)]. 2749 T(x \ y,x * y) = (x * x) \ (x * y). [para(753(a,1),2744(a,1,1))]. 2750 x * ((y \ (x * x)) \ 1) = ((y / x) \ x) \ x. [para(2745(a,1),672(a,1,2,1))]. 2751 x \ ((y / x) \ 1) = x * ((y * x) \ 1). [hyper(97,a,2740,a(flip),b,2746,a)]. 2752 T(x,y) \ (y * y) = y * (x \ y). [para(672(a,1),2746(a,1,2)),flip(a)]. 2753 1 / T(x,y * y) = L(1 / x,y,y). [hyper(189,a,752,a(flip),b,2747,a),flip(a)]. 2754 L(1 / x,y,y) = 1 / L(x,y,y). [para(752(a,1),2753(a,1,2)),flip(a)]. 2755 (1 / L(x,y,y)) / y = (1 / x) * (1 / y). [hyper(98,a,2754,a(flip),b,1152,a)]. 2756 x \ (1 / L(y,x,x)) = (x \ 1) * (1 / y). [hyper(97,a,2754,a(flip),b,1149,a)]. 2757 T(x \ y,x * y) = (1 / x) * y. [hyper(189,a,954,a(flip),b,2749,a),flip(a)]. 2758 L(x,y,z \ ((1 / u) * w)) != v5 | L(x,y,z \ (u \ w)) = v5. [para(2757(a,1),1271(a,1,3,2))]. 2759 (x \ y) * (y \ 1) = y * ((x * y) \ 1). [hyper(59,a,1223,a(flip),b,2751,a)]. 2760 (x \ y) \ (x \ 1) = x * ((y * x) \ 1). [hyper(59,a,1429,a,b,2759,a)]. 2761 x * (((x * y) * x) \ 1) = y \ (x \ 1). [hyper(59,a,1430,a(flip),b,2759,a),flip(a)]. 2762 (x \ 1) * ((y * (x \ 1)) \ 1) = x * ((y * x) \ 1). [hyper(59,a,675,a,b,2760,a)]. 2765 a(x \ y,z,u) != w | a(u,y \ x,z \ 1) = w. [para(2184(a,1),2670(a,1))]. 2768 T((x \ 1) * y,y) = T(x,y \ 1) \ y. [hyper(59,a,1161,a(flip),b,2733,a),flip(a)]. 2769 a(x,y,L(T(z,u \ 1) \ u,w,v5)) = a(x,y,L((z \ 1) * u,w,v5)). [para(2768(a,1),2256(a,1,3,1))]. 2770 L(x \ y,x,x \ (1 / L(z,x,x))) = (1 / L(z,x,x)) \ (((1 / z) * (1 / x)) * y). [para(2755(a,1),1014(a,2,2,1))]. 2771 ((L(x,y,z) \ x) * u) \ u = a(x \ 1,z,y). [para(2557(a,2),2662(a,1,1))]. 2772 (x * a(y,z,z)) \ u = a(y,z,z) * (x \ u). [hyper(189,a,2536,a,b,2688,a),flip(a)]. 2773 a(x \ y,z,u) \ w != v5 * a(z,u,y \ x) | v5 = w. [para(2690(a,2),40(a,2)),flip(a)]. 2774 L((L(x,y,z) \ x) * u,a(x \ 1,z,y),x) = L(x,y,z) \ (x * u). [para(2697(a,1),2187(a,1,1))]. 2775 x * ((a(y,z,u) * x) \ 1) = a(z,u,y \ 1). [hyper(99,a,2538,a,b,2702,a(flip))]. 2776 a(x,y \ a(z,u,w \ 1),v5) != v6 | a(x,a(w,z,u) \ (y \ 1),v5) = v6. [para(2702(a,1),2247(a,1,2))]. 2777 x * (y \ a(x \ 1,z,u)) = L(x,u,z) * (y \ 1). [para(2567(a,1),2710(a,1,2))]. 2778 (x * (L(y,z,u) \ y)) / y = x / L(y,z,u). [hyper(98,a,2728,a,b,1764,a)]. 2779 (L(x,y,z) \ x) * u = x * (L(x,y,z) \ u). [hyper(59,a,2557,a,b,2728,a)]. 2780 (x \ (y * y)) \ 1 = y \ ((x \ y) \ 1). [hyper(97,a,1353,a(flip),b,2750,a),flip(a)]. 2781 (T(1 / x,y) \ (y * y)) \ 1 = y \ ((y * x) \ 1). [para(670(a,1),2780(a,2,2,1))]. 2782 (L(x,y,z) \ x) * (u * a(x \ 1,z,y)) = u. [hyper(110,a,2771,a),flip(a)]. 2783 a(x \ 1,y,z) * ((L(x,z,y) \ x) * u) = u. [hyper(34,a,2532,a,b,2771,a)]. 2784 a(x,y,y) * (L(x,z,u) \ w) = L(L(x,y,y),z,u) \ w. [para(2622(a,1),2772(a,1,1)),flip(a)]. 2785 x * (L(x,y,z) \ (u / x)) = u / L(x,y,z). [hyper(59,a,2090,a(flip),b,2778,a)]. 2788 ((L(x,y,z) \ x) * u) \ 1 = u \ a(x \ 1,z,y). [para(2783(a,1),2568(a,1,1)),flip(a)]. 2789 (L(x,y,z) \ x) * (u / x) = u / L(x,y,z). [hyper(59,a,2779,a,b,2785,a)]. 2792 a(x,y,z) * (u / z) = u / L(z,y,x). [para(2633(a,2),2789(a,1,1))]. 2793 (x * L(y,z,u)) / y = a(u,z,y) \ x. [hyper(97,a,6,a(flip),b,2792,a),flip(a)]. 2794 a(x,y,y) * (z / x) = z / L(x,y,y). [para(2619(a,2),2792(a,1,1))]. 2795 (a(x,y,z) \ u) * z = u * L(z,y,x). [hyper(106,a,2793,a)]. 2796 (x / y) * a(y,z,z) = x / L(y,z,z). [hyper(2539,a,2794,a)]. 2798 a(x \ 1,y,z) \ u != w | u * a(y,z,x) = w. [para(2673(a,2),2706(a,1,1))]. 2799 ((x \ 1) \ (y / x)) \ 1 = x * (y \ (1 / x)). [para(1148(a,1),2732(a,1,1))]. 2800 (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). [para(1531(a,1),2799(a,1,1))]. 2801 a(x,y \ 1,z) * u != w | u * a(z,x \ 1,y) = w. [para(2691(a,1),2798(a,1))]. 2802 (T(x,y) * a(z,u,w)) \ (K(y,x) * (a(z,u,w) * (x * v5))) = L(L(v5,x,a(z,u,w)),a(z,u,w) * x,K(y,x)). [para(2578(a,1),233(a,1,1))]. 2803 T(x,y) \ a(z,u,y) = L(y,u,z) \ (x \ y). [hyper(59,a,2716,a(flip),b,2597,a),flip(a)]. 2804 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(u,z,y),v5). [para(2803(a,1),2226(a,1,2))]. 2807 (((x \ 1) * y) * x) \ 1 = x \ (y \ ((x \ 1) \ 1)). [hyper(97,a,2761,a(flip),b,2762,a(flip)),flip(a)]. 2808 (x * ((1 / y) \ x)) \ 1 = x \ ((x * y) \ 1). [para(2752(a,1),2781(a,1,1))]. 2809 (x * ((1 / y) \ x)) \ 1 = (x * y) \ ((x * y) \ y). [hyper(189,a,1451,a,b,2808,a),flip(a)]. 2810 (x * (L(x,y,z) \ u)) \ 1 = u \ a(x \ 1,z,y). [para(2779(a,1),2788(a,1,1))]. 2811 (x * (y * (1 / x))) \ 1 = x \ (y \ ((x \ 1) \ 1)). [para(1142(a,1),2807(a,1,1))]. 2812 ((x * y) * (x * y)) / y = x * ((1 / y) \ x). [hyper(35,a,2743,a,b,2809,a)]. 2813 ((x * y) * (x * y)) / y = x * T(x * y,y). [hyper(189,a,619,a,b,2812,a),flip(a)]. 2814 x * ((x * (L(x,y,z) \ u)) \ 1) = L(x,y,z) * (u \ 1). [para(2810(a,2),2777(a,1,2))]. 2815 x * (x * (y \ (1 / x))) = y \ ((x \ 1) \ 1). [hyper(99,a,2800,a(flip),b,2811,a(flip))]. 2817 T(x,y * a(z,u,w)) = T(x,y). [hyper(156,a,2612,a(flip),b,2565,a)]. 2818 T(x,y \ a(z,u,w)) = T(x,y \ 1). [hyper(59,a,1672,a(flip),b,2817,a)]. 2819 T(x,y) * (y * a(z,u,w)) = (y * a(z,u,w)) * x. [para(2817(a,1),592(a,1,1))]. 2820 T(x,a(y,z,u) * w) = T(x,w). [para(2536(a,2),2817(a,1,2))]. 2821 T(x,a(y,z,u) \ w) = T(x,w). [para(2646(a,1),2817(a,1,2))]. 2822 T(x,y * L(z,u,w)) = T(x,y * z). [para(2695(a,1),2817(a,1,2)),flip(a)]. 2825 T(x / (a(y,z,u) * w),w) = (a(y,z,u) * w) \ x. [hyper(629,a,2820,a),flip(a)]. 2827 T(x / (a(y,z,u) \ w),w) = (a(y,z,u) \ w) \ x. [hyper(629,a,2821,a),flip(a)]. 2828 (1 / (a(x,y,z) \ u)) * T(w,u) = w / (a(x,y,z) \ u). [hyper(99,a,2821,a(flip),b,620,a(flip))]. 2829 T(x,y) * (a(z,u,w) \ y) = (a(z,u,w) \ y) * x. [para(2821(a,1),592(a,1,1))]. 2830 T(x,y \ L(z,u,w)) = T(x,y \ z). [para(2693(a,1),2821(a,1,2))]. 2831 T(x,y \ a(z,u,w)) = x * K(x,y \ 1). [hyper(189,a,555,a(flip),b,2818,a),flip(a)]. 2832 ((a(x,y,z) \ u) \ T(w,a(x,y,z) \ u)) \ 1 = T(w \ (a(x,y,z) \ u),u \ 1). [hyper(59,a,1782,a,b,2818,a)]. 2833 T(x,y \ 1) * (y \ a(z,u,w)) = (y \ a(z,u,w)) * x. [para(2818(a,1),592(a,1,1))]. 2834 L(x,L(y,z,u),L(y,z,u)) = T(x,L(y,z,u) * y). [hyper(1997,a,2822,a)]. 2835 T(x,y \ L(y * z,u,w)) = T(x,z). [para(4(a,1),2830(a,2,2))]. 2836 1 / T(1 / x,x * y) = T(x,y). [hyper(59,a,1842,a(flip),b,2835,a)]. 2837 T(1 / x,x * y) = T(x,y) \ 1. [hyper(136,a,2836,a),flip(a)]. 2838 T(x,x \ y) \ 1 = T(1 / x,y). [para(5(a,1),2837(a,1,2)),flip(a)]. 2839 K(x,y \ a(z,u,w)) = K(x,y \ 1). [hyper(566,a,2831,a)]. 2840 K(x,(a(y,z,u) / w) \ 1) = K(x,w). [para(73(a,1),2839(a,1,2)),flip(a)]. 2841 K(x,a(y,z,u) \ w) = K(x,w). [para(2551(a,1),2840(a,1,2))]. 2842 K(x,a(y,z,u) \ w) = K(w,x). [hyper(189,a,29,a,b,2841,a),flip(a)]. 2847 K(a(x,y,z) \ u,w) = K(u,w). [hyper(645,a,2842,a)]. 2849 T(x,y) * (a(z,u,w) * y) = (y * a(z,u,w)) * x. [hyper(2574,a,2819,a)]. 2850 T(x * a(y,z,u),w) = T(x,w) * a(y,z,u). [hyper(156,a,2819,a(flip),b,708,a(flip))]. 2851 (x * y) \ ((x * a(z,u,w)) * y) = L(a(z,u,w),x,y). [hyper(97,a,2819,a(flip),b,1047,a)]. 2853 (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x). [para(590(a,1),2819(a,1,1))]. 2854 T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w). [hyper(1710,a,2850,a),flip(a)]. 2857 (T(x,y) * a(z,u,w)) * y = y * (x * a(z,u,w)). [para(2850(a,1),592(a,1,1))]. 2858 (T(x,y) * a(z,u,w)) \ ((y * x) * a(z,u,w)) = R(y,x,a(z,u,w)). [para(2850(a,1),1276(a,2,1)),flip(a)]. 2859 T(x \ 1,y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(2567(a,1),2850(a,1,1)),flip(a)]. 2860 (a(x,y,z) \ T(u,w)) \ w = w * (u \ a(x,y,z)). [para(2854(a,1),2604(a,1,1))]. 2861 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u). [hyper(1543,a,2825,a),flip(a)]. 2862 L(x,L(y,z,u),L(y,z,u)) = T(x,y * L(y,z,u)). [para(158(a,1),2834(a,2,2))]. 2863 (x \ y) * (a(z,u,w) * x) = (x * a(z,u,w)) * (y / x). [para(90(a,1),2849(a,1,1))]. 2864 ((1 / x) \ T(y,x)) * (a(z,u,w) * x) = x * (x * (y * a(z,u,w))). [para(2857(a,1),28(a,2,2))]. 2865 ((x * y) \ y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(1232(a,1),2859(a,1,1))]. 2866 x * (T(y,x) \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [para(583(a,1),2860(a,1,1,2)),flip(a)]. 2867 (a(x,y,z) \ a(u,w,v5)) \ v6 = v6 * (a(u,w,v5) \ a(x,y,z)). [para(2529(a,1),2860(a,1,1,2))]. 2868 L(x,L(y,z,u),L(y,z,u)) = T(x,y * y). [hyper(189,a,2822,a(flip),b,2862,a),flip(a)]. 2870 L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). [hyper(189,a,752,a(flip),b,2868,a),flip(a)]. 2871 L(x,y,z) * L(u,x,x) = (1 / L(x,y,z)) \ u. [hyper(99,a,2870,a(flip),b,947,a)]. 2872 L(x,y,z) \ L(u,x,x) = (L(x,y,z) \ 1) * u. [hyper(97,a,2870,a(flip),b,1149,a)]. 2873 L(1 / x,y,z) \ L(u,1 / x,1 / x) = (a(x,z,y) \ x) * u. [para(2212(a,1),2872(a,2,1))]. 2874 T(x,y) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [hyper(59,a,715,a,b,2866,a)]. 2875 T((a(x,y,z) \ u) * w,u) = w / (u \ a(x,y,z)). [hyper(98,a,4,a(flip),b,2874,a),flip(a)]. 2876 (x / (y \ 1)) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ (y * x). [para(432(a,1),2874(a,1,1))]. 2877 x / (a(y,z,u) \ a(w,v5,v6)) = (a(w,v5,v6) \ a(y,z,u)) * x. [hyper(2547,a,2875,a),flip(a)]. 2878 a(x,y,z) * (x \ K(u,w)) = L(x \ K(u,w),z,y). [hyper(59,a,2214,a(flip),b,2588,a),flip(a)]. 2879 (x \ K(y,z)) \ L(x \ K(y,z),u,w) = a(x,w,u). [hyper(31,a,2179,a,b,2878,a)]. 2880 L(a(x,y,y) \ (x \ z),a(u,w,w),v5) = L(x,y,y) \ z. [para(2681(a,2),2730(a,1,1))]. 2881 x * (((y / L(x,z,u)) * x) \ 1) = L(x,z,u) * (y \ 1). [para(1764(a,2),2814(a,1,2,1))]. 2882 (a(x,y,z) / u) * T(w,u) = w / (a(x,y,z) \ u). [para(2543(a,1),2828(a,1,1))]. 2883 T(x * (a(y,z,u) \ w),w) = (a(y,z,u) / w) \ x. [hyper(97,a,6,a(flip),b,2882,a),flip(a)]. 2884 T((a(x,y,z) \ u) * w,u) = (a(x,y,z) / u) \ T(w,u). [para(2829(a,1),2883(a,1,1))]. 2885 (x \ a(y,z,u)) * ((x \ 1) \ w) = (w / (x \ 1)) * (x \ a(y,z,u)). [para(590(a,1),2833(a,1,1)),flip(a)]. 2886 (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x). [hyper(189,a,2533,a,b,2853,a),flip(a)]. 2887 L(a(x \ 1,y,y) \ ((z * (u * x)) / x),a(w,v5,v5),v6) = L(x \ 1,y,y) \ (((x \ 1) * z) * u). [para(964(a,1),2880(a,1,1,2))]. 2888 L(x,y,z) * ((u * L(x,y,z)) \ 1) = x * ((u * x) \ 1). [para(6(a,1),2881(a,1,2,1,1)),flip(a)]. 2889 (a(x,y,z) / u) \ T(w,u) = w / (u \ a(x,y,z)). [hyper(59,a,2875,a(flip),b,2884,a),flip(a)]. 2890 T(x * (y \ a(z,u,w)),y) = (a(z,u,w) / y) * x. [hyper(291,a,2889,a),flip(a)]. 2891 ((a(x,y,z) / u) * w) * u = u * (w * (u \ a(x,y,z))). [para(2890(a,1),592(a,1,1))]. 2892 (x / y) * (a(z,u,w) * y) = (a(z,u,w) * y) * (y \ x). [hyper(2574,a,2886,a)]. 2893 (a(x,y,z) * u) * (u \ w) != v5 | (w / u) * (a(x,y,z) * u) = v5. [para(2886(a,1),2574(a,1))]. 2894 T((1 / (a(x,y,z) * u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [hyper(59,a,298,a,b,2892,a)]. 2895 L(1 / x,y,z) \ L(u,x,x) = a(z,y,x \ 1) * (x * u). [para(2255(a,1),2721(a,2,1))]. 2896 L(1 / x,y,z) \ L(u,x,x) = a(x,z,y) \ (x * u). [hyper(189,a,2677,a(flip),b,2895,a),flip(a)]. 2897 L(1 / x,y,x) \ y = x * y. [hyper(2707,a,2896,a(flip))]. 2898 K(x,y) * (a(z,u,w) * (x * v5)) = (T(x,y) * v5) * a(z,u,w). [hyper(540,a,2576,a)]. 2899 a(x,y,z * ((z * u) \ (w \ 1))) = y \ L(y,x,z * ((z \ w) * u)). [hyper(189,a,2332,a,b,2698,a)]. 2900 L(x \ L(x,y,z),u,w) * (w * u) = w * (a(z,y,x) \ u). [para(2646(a,1),2594(a,2,2))]. 2901 a(x,x,L(y,z,u)) = a(y,x,x). [hyper(31,a,2784,a,b,2719,a),flip(a)]. 2903 a(x,x,L(y,z,u)) = a(x,x,y). [hyper(189,a,2619,a(flip),b,2901,a),flip(a)]. 2904 a(x,x,L(y,z,u)) = x \ L(x,x,y). [hyper(189,a,2682,a,b,2903,a),flip(a)]. 2905 L(x,y,z) * a(u,u,x) = L(L(x,y,z),u,u). [hyper(99,a,2903,a(flip),b,820,a)]. 2906 L(x,x,L(y,z,u)) = L(x,x,y). [hyper(2683,a,2904,a)]. 2907 L(x,x,y) * L(L(y,z,u),x,x) = x * L(y,z,u). [hyper(99,a,2905,a(flip),b,2729,a)]. 2908 (1 / L(x,x,y)) \ L(y,z,u) = x * L(y,z,u). [hyper(59,a,2871,a(flip),b,2907,a)]. 2909 (1 / L(x,x,y)) \ L(y,z,u) = (a(u,z,y) \ x) * y. [hyper(189,a,2795,a,b,2908,a),flip(a)]. 2910 L(1 / x,y,z) \ L(u,1 / x,x \ 1) = (a(x,z,y) \ x) * u. [para(1000(a,1),2873(a,1,2))]. 2911 L(1 / x,y,z) \ L(u,x,x) = (a(x,z,y) \ x) * u. [para(2007(a,1),2910(a,1,2))]. 2912 L(1 / x,y,x) = 1 / L(x,x,y). [hyper(35,a,2909,a,b,2911,a),flip(a)]. 2914 (1 / L(x,x,y)) \ y = x * y. [para(2912(a,1),2897(a,1,1))]. 2915 (x * y) \ ((x * a(z,u,w)) * y) = R(a(z,u,w),x,y). [para(2534(a,1),2579(a,1,1))]. 2916 R(a(x,y,z),u,w) = L(a(x,y,z),u,w). [hyper(59,a,2851,a(flip),b,2915,a),flip(a)]. 2918 L(R(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(2916(a,2),2569(a,1,1))]. 2919 L(a(x,y,z),u,w \ (u \ 1)) = L(a(x,y,z),w,u). [hyper(1573,a,2918,a)]. 2920 L(a(x,y,z),u,w) != v5 | R(a(x,y,z),u,w) = v5. [para(2918(a,1),143(a,1))]. 2922 L(a(x,y,z),u \ 1,w) != v5 | L(a(x,y,z),w,w \ u) = v5. [para(2919(a,1),1062(a,1))]. 2923 (x * (a(y,z,u) \ (x \ w))) * x = w * T(a(y,z,u) \ x,x). [para(2546(a,1),2586(a,2,2,1))]. 2924 (x * T(a(y,z,u) \ w,w)) / w = w * (a(y,z,u) \ (w \ x)). [hyper(105,a,2923,a)]. 2925 (x * (a(y,z,u) \ w)) / w = w * (a(y,z,u) \ (w \ x)). [para(2583(a,1),2924(a,1,1,2))]. 2926 (a(x,y,z) \ (1 / u)) \ (w / u) = ((u * w) * a(x,y,z)) / u. [para(2546(a,1),2598(a,1,1))]. 2927 (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(220(a,1),2711(a,1,1))]. 2928 a(x,y,L((z \ 1) * u,w,v5)) = a(x,y,L(z \ u,w,v5)). [hyper(59,a,2257,a(flip),b,2769,a),flip(a)]. 2929 a(x,y,L(z * T(u / w,u),v5,v6)) = a(x,y,L((u \ w) \ z,v5,v6)). [hyper(2274,a,2928,a)]. 2932 L(x,y,z) \ (x * (u * a(x \ 1,z,y))) = L(u,a(x \ 1,z,y),x). [para(2782(a,1),2774(a,1,1)),flip(a)]. 2933 T(x * y,x) * (a(z,u,w) * x) = x * (x * (y * a(z,u,w))). [para(621(a,1),2864(a,1,1))]. 2934 (x * a(y,z,u)) * (x * w) = x * (x * (w * a(y,z,u))). [hyper(59,a,2849,a(flip),b,2933,a)]. 2935 x \ ((x * a(y,z,u)) * w) = x * ((x \ w) * a(y,z,u)). [hyper(275,a,2934,a)]. 2936 (x * ((x \ y) * a(z,u,w))) / y = L(a(z,u,w),x,y \ 1). [para(2935(a,1),1089(a,1,1))]. 2937 L(T(a(x,y,z),u),w \ u,w) = L(a(x,y,z),w,u \ 1). [hyper(59,a,783,a(flip),b,2936,a)]. 2938 L(a(x,y,z),u \ w,u) = L(a(x,y,z),u,w \ 1). [para(2529(a,1),2937(a,1,1))]. 2940 (x \ a(y,z,u)) * ((x \ 1) \ w) = (a(y,z,u) \ x) \ (x * w). [hyper(189,a,2876,a(flip),b,2885,a),flip(a)]. 2941 (a(x,y,z) \ u) \ (u * ((u \ 1) * w)) = (u \ a(x,y,z)) * w. [hyper(268,a,2940,a),flip(a)]. 2942 (a(x,y,z) \ u) \ L(w,u,u) = (u \ a(x,y,z)) * w. [para(1149(a,1),2941(a,1,2))]. 2943 (x \ a(y,z,u)) * L(w,x,x) = (a(y,z,u) \ x) \ w. [para(759(a,1),2942(a,1,2)),flip(a)]. 2944 (a(x,y,z) * (u * w)) / w = w * ((a(x,y,z) \ w) \ u). [hyper(99,a,2943,a(flip),b,1459,a),flip(a)]. 2945 (1 / x) \ ((a(y,z,u) / x) * w) = x * ((a(y,z,u) \ x) \ w). [hyper(59,a,2590,a,b,2944,a)]. 2946 x * ((a(y \ 1,z,u) \ x) \ w) = (a(z,u,y) \ (w * x)) / x. [para(2649(a,1),2944(a,1,1)),flip(a)]. 2947 T(x * ((a(y,z,u) \ x) \ w),x) = ((a(y,z,u) / x) * w) * x. [para(2945(a,1),298(a,1,1))]. 2948 (a(x,y,z) \ (u * w)) / w = w * ((w * a(x,y,z)) \ u). [para(2648(a,1),2946(a,1,2,1)),flip(a)]. 2949 x * ((x * a(y,z,u)) \ (w * a(y,z,u))) = L(T(w,a(y,z,u)),a(y,z,u),x \ 1). [hyper(1090,a,2948,a),flip(a)]. 2950 T(x * ((a(y,z,u) \ x) \ w),x) = x * (w * (x \ a(y,z,u))). [hyper(189,a,2891,a(flip),b,2947,a),flip(a)]. 2951 T(x * ((a(y,z,u) \ x) \ w),x) = ((x * w) * a(y,z,u)) / x. [hyper(189,a,2564,a,b,2950,a),flip(a)]. 2952 x \ ((x * y) * a(z,u,w)) = x * ((a(z,u,w) \ x) \ y). [hyper(608,a,2951,a)]. 2953 x * ((a(y \ 1,z,u) \ x) \ w) = x \ (a(z,u,y) \ (x * w)). [para(2646(a,1),2952(a,1,2)),flip(a)]. 2954 x \ (a(y,z,u) \ (x * w)) = x * ((x * a(y,z,u)) \ w). [para(2648(a,1),2953(a,1,2,1)),flip(a)]. 2955 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (z / u),v5,v6)). [hyper(59,a,2263,a(flip),b,2929,a),flip(a)]. 2957 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (u \ z),v5,v6)). [hyper(189,a,2285,a(flip),b,2955,a),flip(a)]. 2958 L(x,y,z) \ (L(x,y,z) * u) = L(u,a(x \ 1,z,y),x). [para(2710(a,1),2932(a,1,2))]. 2959 L(x,a(y \ 1,z,u),y) = x. [hyper(198,a,2958,a),flip(a)]. 2961 L(x,a(y,z,u),y \ 1) = x. [para(898(a,1),2959(a,1,2))]. 2962 L(x,a(y,z,u),y \ 1) != w | x = w. [para(2961(a,1),46(a,2))]. 2963 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * (a(y,z,u) \ x)) / x. [para(2601(a,1),2587(a,2,1,2))]. 2964 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [hyper(59,a,2954,a(flip),b,2963,a)]. 2965 (x \ 1) * ((x \ a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [para(2567(a,1),2964(a,1,2,1))]. 2966 (x \ 1) * ((x \ a(y,z,u)) \ w) = x * (a(y,z,u) \ (x \ w)). [hyper(189,a,2925,a(flip),b,2965,a),flip(a)]. 2967 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((a(x,y,z) \ w) * u). [para(2546(a,1),2608(a,2,2,1))]. 2968 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [hyper(59,a,2948,a(flip),b,2967,a)]. 2969 (x \ 1) * ((x \ a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [para(2567(a,1),2968(a,1,2,1))]. 2970 x \ ((a(y,z,u) \ x) * w) = x * (a(y,z,u) \ (x \ w)). [hyper(59,a,2966,a(flip),b,2969,a),flip(a)]. 2971 (x \ 1) \ ((a(y,z,u) \ (x \ 1)) * w) = (a(y,z,u) \ (w * x)) / x. [para(2546(a,1),2609(a,1,2,1))]. 2972 L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). [hyper(189,a,2927,a(flip),b,2713,a),flip(a)]. 2973 L(a(x,y,z),L(z,y,x) * ((u * L(z,y,x)) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(1540(a,1),2972(a,1,2))]. 2974 (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u). [para(2534(a,1),2571(a,1,2,1))]. 2975 (a(x,y,z) * (a(x,y,z) \ (u \ 1))) \ ((a(x,y,z) \ (u \ 1)) * (w * a(x,y,z))) = L(R(w,u,a(x,y,z)),a(x,y,z),a(x,y,z)). [hyper(189,a,1527,a,b,2974,a),flip(a)]. 2976 L(x,y,a(z,u,w * (v5 \ v6)) \ (w * (v5 \ v6))) = L(x,y,L((v6 \ v5) \ w,u,z)). [para(2276(a,1),2640(a,1,3,1))]. 2977 L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,L(w * (u \ z),v5,v6)). [para(2630(a,2),2976(a,1,3)),flip(a)]. 2978 L(x,y,L(z * (1 \ u),w,v5)) = L(x,y,L(u * z,w,v5)). [hyper(1818,a,2977,a),flip(a)]. 2979 L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)). [para(61(a,1),2978(a,1,3,1,2))]. 2980 (1 / L(x,y,y)) \ (((1 / x) * (1 / y)) * z) = L(y \ z,y,(y \ 1) * (1 / x)). [para(2756(a,1),2770(a,1,3)),flip(a)]. 2981 (1 / L(x,y,y)) \ (((1 / x) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [hyper(189,a,1050,a(flip),b,2980,a),flip(a)]. 2982 (1 / L((x \ 1) \ 1,y,y)) \ (((1 / ((x \ 1) \ 1)) * (1 / y)) * z) = L(y \ z,y,T(y \ 1,x) * (1 / x)). [para(1593(a,1),2981(a,2,3))]. 2983 T(x \ (a(y,z,u) \ w),w \ 1) = (x * (w \ a(y,z,u))) \ 1. [para(2603(a,1),2832(a,1,1)),flip(a)]. 2984 (x * (a(y,z,u) \ a(w,v5,v6))) \ 1 != v7 | x \ (a(w,v5,v6) \ a(y,z,u)) = v7. [para(2983(a,1),2610(a,1))]. 2985 T((a(x,y,z) \ (1 / u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [para(2861(a,1),2894(a,1,1,1))]. 2986 x * ((x * a(y,z,u)) \ (w * a(y,z,u))) = L(w,a(y,z,u),x \ 1). [para(2534(a,1),2949(a,2,1))]. 2987 T(((x * y) * a(z,u,w)) / x,a(z,u,w) * x) = (a(z,u,w) * x) * (x \ y). [para(2926(a,1),2985(a,1,1))]. 2988 T(((x * y) * a(z,u,w)) / x,x) = (a(z,u,w) * x) * (x \ y). [hyper(59,a,2820,a(flip),b,2987,a)]. 2989 x \ ((x * y) * a(z,u,w)) = (a(z,u,w) * x) * (x \ y). [hyper(629,a,2988,a)]. 2991 (a(x,y,z) * u) * (u \ w) = u * ((a(x,y,z) \ u) \ w). [hyper(59,a,2952,a(flip),b,2989,a),flip(a)]. 2992 (x / y) * (a(z,u,w) * y) = y * ((a(z,u,w) \ y) \ x). [hyper(2893,a,2991,a)]. 2993 (x * a(y,z,u)) * (x \ w) = x * ((a(y,z,u) \ x) \ w). [hyper(59,a,2533,a(flip),b,2991,a)]. 2994 x \ (y * ((a(z,u,w) \ y) \ x)) = L(a(z,u,w),y,y \ x). [para(2992(a,1),2575(a,1,2))]. 2995 x * ((a(y,z,u) \ x) \ (x * w)) = (x * a(y,z,u)) * w. [hyper(268,a,2993,a),flip(a)]. 2996 L(a(x,y,z),z * ((u * z) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(2888(a,1),2973(a,1,2))]. 2997 L(a(x,y,z),(u * z) \ z,w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [hyper(1995,a,2996,a)]. 2999 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),u \ 1,w). [hyper(1996,a,2997,a),flip(a)]. 3001 L(a(x,x,y \ 1) \ ((z * (u * y)) / y),a(w,v5,v5),v6) = L(y \ 1,x,x) \ (((y \ 1) * z) * u). [para(2619(a,1),2887(a,1,1,1))]. 3002 L(((x * (y * z)) / z) * a(z,u,u),a(w,v5,v5),v6) = L(z \ 1,u,u) \ (((z \ 1) * x) * y). [para(2679(a,1),3001(a,1,1))]. 3003 L((x * (y * z)) / L(z,u,u),a(w,v5,v5),v6) = L(z \ 1,u,u) \ (((z \ 1) * x) * y). [para(2796(a,1),3002(a,1,1))]. 3004 L((x * (y * z)) / L(z,u,u),a(w,v5,v5),v6) = (L(z,u,u) \ 1) \ (((z \ 1) * x) * y). [para(2731(a,1),3003(a,2,1))]. 3006 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) != w | (z * (u * x)) / L(x,y,y) = w. [para(3004(a,1),143(a,1))]. 3007 (T(x,y) * a(z,u,w)) \ (K(x,y) * (a(z,u,w) * (x * v5))) = L(L(v5,x,a(z,u,w)),a(z,u,w) * x,K(y,x)). [para(29(a,1),2802(a,1,2,1))]. 3008 (L(x,y,y) \ 1) \ (((1 / ((x \ 1) \ 1)) * (1 / y)) * z) = L(y \ z,y,T(y \ 1,x) * (1 / x)). [para(2072(a,1),2982(a,1,1))]. 3009 (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,T(y \ 1,x) * (1 / x)). [para(70(a,1),3008(a,1,2,1,1))]. 3010 (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ T(y \ 1,x)). [hyper(189,a,1050,a(flip),b,3009,a),flip(a)]. 3012 (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [hyper(189,a,1268,a(flip),b,3010,a),flip(a)]. 3013 ((1 / x) * (y * z)) / L(z,x,x) = L(x \ y,x,z \ (x \ 1)). [hyper(3006,a,3012,a)]. 3015 L(x \ (x * y),x,z \ (x \ 1)) = R(y,z * (1 / x),x). [hyper(59,a,2019,a(flip),b,3013,a),flip(a)]. 3016 R(x,y * (1 / z),z) = L(x,z,y \ (z \ 1)). [para(4(a,1),3015(a,1,1)),flip(a)]. 3017 L(L(x,y,a(z,u,w)),a(z,u,w) * y,K(v5,y)) = (T(y,v5) * a(z,u,w)) \ ((T(y,v5) * x) * a(z,u,w)). [para(2898(a,1),3007(a,1,2)),flip(a)]. 3018 L(L(x,y,a(z,u,w)),a(z,u,w) * y,K(v5,y)) = (y * a(z,u,w)) \ ((y * x) * a(z,u,w)). [hyper(189,a,830,a(flip),b,3017,a),flip(a)]. 3020 (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)). [hyper(143,a,3018,a),flip(a)]. 3022 (T(x,y) * a(z,u,w)) \ ((y * x) * a(z,u,w)) = L(y,T(x,y),a(z,u,w)). [para(592(a,1),3020(a,1,2,1))]. 3023 L(x,T(y,x),a(z,u,w)) = R(x,y,a(z,u,w)). [hyper(59,a,2858,a(flip),b,3022,a),flip(a)]. 3024 R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). [hyper(1990,a,3023,a),flip(a)]. 3025 R(x,y,a(z,u,w)) != v5 | L(x,y,a(z,u,w)) = v5. [para(3023(a,1),1990(a,1))]. 3027 (a(x,y,z) * (a(x,y,z) \ (u \ 1))) \ ((a(x,y,z) \ (u \ 1)) * (w * a(x,y,z))) = R(w,u,a(x,y,z)). [hyper(189,a,2607,a(flip),b,2975,a),flip(a)]. 3029 (x \ 1) \ ((a(y,z,u) \ (x \ 1)) * (w * a(y,z,u))) = R(w,x,a(y,z,u)). [para(5(a,1),3027(a,1,1))]. 3030 (a(x,y,z) \ ((u * a(x,y,z)) * w)) / w = R(u,w,a(x,y,z)). [hyper(59,a,2971,a(flip),b,3029,a)]. 3032 x * ((x * a(y,z,u)) \ (w * a(y,z,u))) = R(w,x,a(y,z,u)). [hyper(59,a,2948,a(flip),b,3030,a)]. 3033 L(x,a(y,z,u),w \ 1) = R(x,w,a(y,z,u)). [hyper(59,a,2986,a(flip),b,3032,a)]. 3034 R(x,y,a(y,z,u)) = x. [hyper(2962,a,3033,a),flip(a)]. 3035 L(x,a(y,z,u),w \ 1) = L(x,w,a(y,z,u)). [hyper(189,a,3024,a(flip),b,3033,a),flip(a)]. 3036 L(x,y,a(y,z,u)) = x. [hyper(3025,a,3034,a)]. 3037 R(x,y,a(z,u,y)) = x. [para(2669(a,1),3034(a,1,3))]. 3038 ((x * y) * z) / (y * z) = a(x,y,z) * x. [para(3036(a,1),2617(a,1,2))]. 3039 R(x,y,z) = a(x,y,z) * x. [hyper(59,a,15,a,b,3038,a)]. 3041 a(x,y,z) = x \ R(x,y,z). [hyper(1414,a,3039,a),flip(a)]. 3042 R(x,y,z) = x * a(x,y,z). [hyper(189,a,2536,a(flip),b,3039,a),flip(a)]. 3043 x * a(y,x \ 1,z) = R(x,z \ 1,y). [hyper(2801,a,3039,a(flip))]. 3044 a(x,T(y,z),u) * x = R(x,y,u). [para(2215(a,2),3039(a,2,1)),flip(a)]. 3045 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ R(L(x,y,y),z,u). [para(3039(a,2),2627(a,1,2)),flip(a)]. 3046 L(x,y,z) \ R(x,u,w) = a(z,y,x) * a(x,u,w). [hyper(99,a,3041,a,b,2709,a),flip(a)]. 3050 R(x,y,z) = x * (1 * a(x,y,z)). [hyper(99,a,2,a,b,3041,a(flip)),flip(a)]. 3051 x * a(x,y * (z \ u),w) = R(x,y * (u / z),w). [hyper(99,a,2224,a(flip),b,3041,a(flip))]. 3053 x * a(x,y,z) != u | R(x,y,z) = u. [para(3041(a,2),164(a,1,2))]. 3055 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). [para(2916(a,1),3041(a,2,2)),flip(a)]. 3057 R(x,y,z) != x * u | a(x,y,z) = u. [para(3042(a,2),39(a,1))]. 3058 x \ R(x,y,z) != u | a(x,y,z) = u. [para(3042(a,2),198(a,1,2))]. 3060 R(x,T(y,z),u) = R(x,y,u). [hyper(59,a,3039,a,b,3044,a)]. 3061 R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5). [para(20(a,2),3060(a,1,2))]. 3064 R(x,y * (z \ 1),u) = R(x,z \ y,u). [para(304(a,1),3060(a,1,2))]. 3065 R(x,y,z) != x * u | 1 * a(x,y,z) = u. [para(3050(a,2),39(a,1))]. 3066 a(x,y,z) * x != u | R(x,y,z) = u. [para(2051(a,2),3053(a,1))]. 3070 R(x,y \ 1,z) != x * u | a(z,x \ 1,y) = u. [para(3043(a,1),39(a,1))]. 3071 L(x,y \ 1,a(z,u,w)) != v5 | L(x,a(z,u,w),y) = v5. [para(3035(a,1),1039(a,1))]. 3073 R(x,y * (z / u),w) = R(x,y * (u \ z),w). [hyper(3053,a,3051,a),flip(a)]. 3074 R(x,y * (1 / z),u) = R(x,z \ y,u). [hyper(189,a,3064,a(flip),b,3073,a),flip(a)]. 3075 L(x,y,z \ (y \ 1)) = R(x,y \ z,y). [hyper(59,a,3016,a(flip),b,3074,a)]. 3076 L(R(x,y,z),z,z) = R(x,z \ y,z). [hyper(59,a,1572,a,b,3075,a)]. 3077 L(R(x,y \ z,y),y,y) = R(x,z,y). [hyper(761,a,3076,a)]. 3078 R(x,y,z) = L(x,z,z \ (y \ z)). [hyper(1634,a,3077,a),flip(a)]. 3079 R(x,y,z) = L(x,z,y \ 1). [hyper(189,a,1022,a(flip),b,3078,a),flip(a)]. 3080 R(x,y \ z,u) = L(x,u,z \ y). [hyper(1575,a,3078,a(flip)),flip(a)]. 3082 R(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(3078(a,2),1575(a,1))]. 3083 R(x,y,z) = x * a(z,x,y). [hyper(189,a,2661,a(flip),b,3079,a),flip(a)]. 3084 L(a(x,y,z),u,w \ 1) = L(a(x,y,z),w,u). [hyper(59,a,2916,a(flip),b,3079,a),flip(a)]. 3085 R(x,y / z,u) = L(x,u,y \ z). [hyper(1230,a,3079,a(flip)),flip(a)]. 3087 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(T(w,u),z,u) * v5). [para(3079(a,2),1931(a,2,3,1))]. 3088 x \ R(x,y,z) != u | a(z,x,y) = u. [para(3079(a,2),2668(a,1,2))]. 3089 a(x,y \ 1,z) = a(x,y,z \ 1). [hyper(3070,a,3083,a)]. 3090 1 * a(x,y,z) = a(z,x,y). [hyper(3065,a,3083,a)]. 3091 a(x,y,z) = a(z,x,y). [hyper(3057,a,3083,a)]. 3092 a(x,y \ z,u \ 1) = a(x,z \ y,u). [hyper(2765,a,3091,a)]. 3093 a(x,y \ z,u \ 1) = a(u,x,z \ y). [hyper(189,a,2674,a,b,3091,a)]. 3094 x \ (a(y,z,u) \ x) = a(y,z,u \ 1). [hyper(189,a,2645,a,b,3091,a)]. 3095 a(x,y,z) = z \ R(z,x,y). [hyper(189,a,3041,a(flip),b,3091,a),flip(a)]. 3096 a(x,y * z,u \ 1) = a(u,x,z \ (y \ 1)). [hyper(189,a,2685,a(flip),b,3091,a)]. 3097 a(x,y \ 1,z) = a(y,z,x) \ 1. [hyper(189,a,2672,a(flip),b,3091,a),flip(a)]. 3100 x * a(x,y \ z,u) = L(x,u,z \ y). [hyper(99,a,3091,a,b,2666,a)]. 3101 L(x,y,z) \ 1 = x \ a(y,x,z). [hyper(97,a,3091,a,b,2641,a(flip)),flip(a)]. 3102 a(x,y,z) \ u = a(z,x,y) \ u. [hyper(57,a,3091,a)]. 3104 L(x,y,z) = a(x,z,y) \ x. [para(3091(a,1),2630(a,2,1))]. 3105 L(x,y,z) = a(y,x,z) \ x. [para(3091(a,2),2630(a,2,1))]. 3106 a(x,y,z) \ x != u | L(x,z,y) = u. [para(3091(a,1),2658(a,1,1))]. 3107 L(x,y,z) * (x \ u) = a(x,z,y) \ u. [para(3091(a,1),2652(a,2,1))]. 3108 a(x,y,z) \ (x * u) = L(x,z,y) * u. [para(3091(a,1),2653(a,1,1))]. 3109 (x \ L(x,y,z)) \ u = a(x,z,y) * u. [para(3091(a,1),2659(a,2,1))]. 3110 a(x,y,z \ 1) \ u = a(x,y,z) * u. [para(3091(a,2),2691(a,2,1))]. 3111 x * (a(x,y,z) \ u) = L(x,z,y) * u. [para(3091(a,1),2694(a,1,2,1))]. 3112 x * (a(y,x,z) \ u) = L(x,y,z) * u. [para(3091(a,2),2694(a,1,2,1))]. 3113 (x / L(y,z,u)) * y = x * a(y,u,z). [para(3091(a,1),2712(a,2,2))]. 3115 (a(x,y,z) \ u) * x = u * L(x,z,y). [para(3091(a,1),2795(a,1,1,1))]. 3116 a(x,y,z) \ (u * a(z,w,v5)) = L(z,y,x) * (L(z,v5,w) \ u). [para(3091(a,1),2727(a,1,2,2))]. 3118 a(x,y,z) * z != u | R(z,x,y) = u. [para(3091(a,2),3066(a,1,1))]. 3119 L(x,y,z) \ R(x,u,w) = a(x,z,y) * a(x,u,w). [para(3091(a,1),3046(a,2,1))]. 3120 a(x,y,z) != u | a(y,z,x) = u. [para(3090(a,1),100(a,1))]. 3122 a(x,y,z) != u | a(z,x,y) = u. [para(3095(a,2),3058(a,1))]. 3123 L(x \ 1,y,z) = L(x,y,z) \ 1. [hyper(189,a,2722,a(flip),b,3104,a),flip(a)]. 3124 L(x,y,x * z) * z = L(x * z,x,y). [hyper(189,a,2653,a(flip),b,3104,a)]. 3125 L(1 / x,y,z) = 1 / L(x,y,z). [hyper(2284,a,3104,a(flip)),flip(a)]. 3128 a(x,y \ z,u \ 1) != w | a(u,x,z \ y) = w. [para(2674(a,2),3120(a,1))]. 3129 (x \ y) \ (L(x,z,u) \ y) != w | a(x,u,z) = w. [para(2718(a,2),3122(a,1))]. 3130 L(R(x,y,z),z,z) = L(x,z,y \ z). [hyper(59,a,3076,a,b,3080,a)]. 3131 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(T(u,w),w,z),y). [para(151(a,1),3080(a,1,2)),flip(a)]. 3132 L(x,y,(z / u) \ ((1 / u) * w)) = R(x,(w \ (u * z)) / u,y). [para(386(a,1),3080(a,1,2)),flip(a)]. 3133 L(x,y,((z * u) * w) \ (u * w)) = R(x,R(z,u,w),y). [para(15(a,2),3085(a,1,2)),flip(a)]. 3134 L(T(x \ 1,y),z,u) = T(L(x,z,u) \ 1,y). [para(3123(a,1),20(a,2,1))]. 3135 L(a(x \ 1,y,z),u,w) = L(a(y,z,x),u,w) \ 1. [para(2631(a,2),3123(a,1,1))]. 3136 L(a(x,y,z \ 1),u,w) = L(a(z,x,y),u,w) \ 1. [para(2672(a,2),3123(a,1,1))]. 3140 a(x,y \ z,u) \ w = w * a(x,z \ y,u). [hyper(99,a,3092,a(flip),b,3094,a),flip(a)]. 3141 x \ y != a(z,u,w) * y | z \ L(z,w,u) = x. [para(3109(a,1),44(a,1)),flip(a)]. 3142 a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). [hyper(189,a,3108,a,b,3111,a)]. 3143 x \ (a(x,y,z) \ (x * u)) = a(x,y,z) \ u. [hyper(97,a,3108,a,b,3111,a)]. 3144 a(x,y,z) \ K(x,u) = x \ L(T(x,u),z,y). [hyper(97,a,1716,a(flip),b,3111,a),flip(a)]. 3145 a(x,y,z) \ (L(x,u,w) * v5) = L(x,z,y) * (a(x,w,u) \ v5). [para(3111(a,1),3108(a,1,2))]. 3146 a(x,y,z) \ (u * a(z,w,v5)) = (u / L(z,v5,w)) * L(z,y,x). [hyper(97,a,3113,a(flip),b,2656,a)]. 3147 x * L(y,z,u) != w * y | a(y,u,z) \ x = w. [para(3115(a,1),40(a,1))]. 3148 x \ L(x * y,y,z) = L(y,z,y * x). [hyper(31,a,2129,a,b,3124,a)]. 3149 R(x,L(y \ 1,z,u),w) != v5 | L(x,w,a(y,u,z) \ y) = v5. [para(2202(a,2),3082(a,1,2))]. 3150 x * a(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(3042(a,1),3082(a,1))]. 3152 L(a(x,y,z),u \ 1,w) = L(a(x,y,z),w,u). [hyper(1039,a,3084,a),flip(a)]. 3153 L(a(x,y,z),u \ w,u) = L(a(x,y,z),w,u). [hyper(59,a,2938,a,b,3084,a)]. 3154 L(a(x,y,z),u,w * L(z,y,x)) = a(x,y,L(z,w,u \ 1)). [hyper(59,a,2972,a(flip),b,3084,a),flip(a)]. 3155 L(T((x / y) \ 1,y),z,u) = (y * L(y \ x,z,u)) \ y. [hyper(189,a,1233,a(flip),b,3134,a),flip(a)]. 3156 x \ y != y * a(z,u \ w,v5) | a(z,w \ u,v5) = x. [para(3140(a,1),44(a,1)),flip(a)]. 3157 x \ (y * z) != y * (a(y,u,w) \ z) | a(y,u,w) = x. [para(3142(a,1),44(a,1)),flip(a)]. 3159 x * ((x * a(x,y,z)) \ u) = a(x,y,z) \ u. [hyper(59,a,2954,a(flip),b,3143,a)]. 3160 L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w). [hyper(2922,a,3152,a)]. 3161 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),w,u). [hyper(59,a,2999,a,b,3152,a)]. 3162 x \ (y * (((y \ x) * (a(z,u,w) * y)) / y)) = L(a(z,u,w),x,y * y). [hyper(59,a,962,a,b,3153,a)]. 3163 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [para(3042(a,2),3159(a,1,2,1))]. 3164 R(x,y,z) \ (u * a(x,y,z)) = x \ u. [hyper(97,a,2531,a(flip),b,3163,a),flip(a)]. 3165 (x / R(y,z,u)) * y = a(y,z,u) \ x. [hyper(59,a,1274,a,b,3163,a)]. 3166 R(x,y,z) \ (x * u) = a(x,y,z) \ u. [hyper(59,a,419,a,b,3163,a)]. 3167 a(x,y,z) * (x * u) = R(x,y,z) * u. [hyper(99,a,117,a(flip),b,3163,a(flip))]. 3168 x / (a(x,y,z) \ u) = R(x,y,z) / u. [para(3163(a,1),1409(a,1,2))]. 3169 (a(x,y,z) \ u) \ x = u \ R(x,y,z). [para(3163(a,1),1652(a,1,1))]. 3170 R(x,y,z) * (x \ u) = u * a(x,y,z). [hyper(108,a,3164,a)]. 3174 a(x,y,z) \ (u * R(x,y,z)) = u * x. [para(6(a,1),3165(a,1,1)),flip(a)]. 3175 a(x,y,z) \ (x \ u) = R(x,y,z) \ u. [para(5(a,1),3166(a,1,2)),flip(a)]. 3176 (R(x,y,z) / u) \ x = a(x,y,z) \ u. [hyper(136,a,3168,a)]. 3177 x * (a(y,z,u) \ a(x,w,v5)) = a(y,z,u) \ R(x,w,v5). [hyper(59,a,2867,a(flip),b,3169,a)]. 3178 x \ (a(y,z,u) \ R(x,w,v5)) = a(y,z,u) \ a(x,w,v5). [hyper(97,a,3169,a(flip),b,2867,a(flip))]. 3179 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,w,a(x,y,z)) \ x. [para(3095(a,2),3169(a,1,1)),flip(a)]. 3181 (x / y) * R(y,z,u) = x * a(y,z,u). [hyper(59,a,1113,a(flip),b,3170,a)]. 3184 a(x,y,z) * (u * x) = u * R(x,y,z). [hyper(108,a,3174,a)]. 3185 a(x,y,z) * (u * z) = u * R(z,x,y). [hyper(99,a,3174,a(flip),b,3102,a)]. 3186 a(x,y,z) * (R(x,y,z) \ u) = x \ u. [hyper(108,a,3175,a)]. 3188 R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u). [hyper(97,a,3175,a(flip),b,3163,a),flip(a)]. 3189 (x \ y) \ (R(x,z,u) \ y) = a(z,u,x \ 1). [hyper(97,a,3175,a(flip),b,2676,a)]. 3190 a(x,y,z) \ a(x \ 1,u,w) = R(x,y,z) \ L(x,w,u). [para(2180(a,2),3175(a,1,2))]. 3192 a(x,y,z) \ (u \ R(x,y,z)) = u \ x. [para(70(a,1),3176(a,1,1)),flip(a)]. 3193 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,(w * a(y,z,u)) \ 1,v5). [para(3181(a,1),2246(a,1,2,1)),flip(a)]. 3194 a(x,y,z \ u) * u = z * R(z \ u,x,y). [hyper(199,a,3185,a)]. 3196 (R(x,y,z) \ u) * ((x \ u) \ 1) = a(y,z,x \ 1). [para(3186(a,1),2775(a,1,2,1))]. 3197 (x \ y) * a(y,z,u) = x \ R(y,z,u). [hyper(2548,a,3192,a)]. 3198 a(x,y,z) * (u \ x) = u \ R(x,y,z). [hyper(108,a,3192,a)]. 3199 a(x,y,z) \ R(x,u,w) = a(x,u,w) * L(x,z,y). [hyper(99,a,3104,a,b,3192,a),flip(a)]. 3200 T(x \ a(y,z,u),y) = (x * y) \ R(y,z,u). [hyper(59,a,2865,a(flip),b,3197,a)]. 3201 a(x,y,z) \ R(y,u,w) = L(y,x,z) * a(y,u,w). [para(3105(a,2),3197(a,1,1)),flip(a)]. 3202 a(x,y,(z * u) \ R(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [para(3198(a,1),2279(a,1,3))]. 3203 x \ (y * ((a(z,u,w) \ y) \ x)) = L(a(z,u,w),y,x). [hyper(59,a,2994,a,b,3160,a)]. 3204 L(a(x,y,z),u,u * w) = L(a(x,y,z),u,w). [para(4(a,1),3160(a,1,3)),flip(a)]. 3205 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(x,x \ y),z,u) \ 1. [para(3188(a,1),677(a,2,2)),flip(a)]. 3206 L(x,y,((z \ u) \ (z \ (R(z,w,v5) \ u))) * v6) = L(x,y,R(z,w,v5) \ v6). [para(3188(a,1),1051(a,1,3,1,2))]. 3207 R(x \ 1,y,z) = R(x,y,z) \ 1. [hyper(34,a,3095,a(flip),b,3189,a)]. 3208 R(T(x,x \ y),z,u) \ 1 = R(T(1 / x,y),z,u). [para(2838(a,1),3207(a,1,1)),flip(a)]. 3209 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ T(a(u,w,v5),u). [hyper(59,a,2854,a(flip),b,3200,a),flip(a)]. 3210 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = L(a(x,y,z),u * L(z,y,x),w). [hyper(59,a,2972,a(flip),b,3204,a)]. 3211 L(x \ L(x,y,z),u,w) * v5 = v5 * (L(a(z,y,x),u,w) \ 1). [para(3135(a,1),2593(a,2,2))]. 3212 a(x,y,z) \ a(u,a(x,y,z),w) = L(a(y,z,x \ 1),u,w). [hyper(189,a,3101,a(flip),b,3136,a)]. 3213 R(x,y,z) = L(x,z \ 1,y). [hyper(34,a,3110,a,b,3199,a),flip(a)]. 3214 R(x,y,z) = L(x,1 / z,y). [hyper(189,a,1969,a,b,3213,a),flip(a)]. 3215 L(x,y \ (z \ 1),u) = R(x,u,z * y). [hyper(189,a,2004,a(flip),b,3213,a)]. 3216 L(R(x,y \ z,z),z,z) = R(x,y,z \ 1). [para(3213(a,2),2011(a,1,1))]. 3217 L(x,y,z) = R(x,z,y \ 1). [para(70(a,1),3214(a,2,2)),flip(a)]. 3218 L(x,y \ 1,z \ 1) = L(x,y,z). [hyper(189,a,3079,a(flip),b,3217,a)]. 3219 L(L(x,y,z),y,y) = L(x,y \ 1,z \ y). [para(3217(a,2),2008(a,1,1))]. 3220 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [para(3217(a,2),1899(a,2,3,1))]. 3221 L(x,1 / y,z \ 1) = L(x,y,z). [hyper(1994,a,3218,a)]. 3222 L(x,y \ (z \ 1),u \ 1) = L(x,z * y,u). [hyper(59,a,2004,a(flip),b,3218,a)]. 3223 L(x,y,y \ (y \ z)) = R(x,z,y \ 1). [hyper(1634,a,3216,a)]. 3224 L(x,y,y \ (y \ z)) = L(x,y,z). [hyper(189,a,3217,a,b,3223,a),flip(a)]. 3225 L(x,y,y \ z) = L(x,y,y * z). [para(4(a,1),3224(a,1,3,2))]. 3226 L(x,T(y,z),y \ (y \ u)) = L(x,T(y,z),u). [para(719(a,1),3224(a,1,3))]. 3227 R(x,y,z) = L(x,z,z * (y \ z)). [hyper(59,a,3078,a,b,3225,a)]. 3228 x \ L(x,y,y * z) = a(y,x,z \ y). [hyper(97,a,3225,a(flip),b,2663,a)]. 3229 a(x,y,z \ (x \ 1)) = a(x,y,z \ x). [hyper(59,a,2675,a,b,3228,a)]. 3230 a(x,y * z,y \ 1) = a(y,x,z \ y). [hyper(59,a,3096,a,b,3229,a)]. 3231 a(x,y * z,y \ 1) = a(x,z \ y,y). [hyper(189,a,3091,a,b,3230,a),flip(a)]. 3232 a(x,y * z,y) \ u = u * a(x,z \ y,y). [hyper(99,a,3231,a(flip),b,3094,a),flip(a)]. 3233 L(L(x,y,z),y,y) = R(x,z \ y,y). [hyper(189,a,3213,a,b,3219,a),flip(a)]. 3234 L(L(x,y,z),y,y) = L(x,y,y \ z). [hyper(189,a,3080,a(flip),b,3233,a),flip(a)]. 3235 L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(y,z,u),w). [hyper(2611,a,3234,a),flip(a)]. 3236 L(L(x,y,y),y,z) = L(x,y,y \ z). [hyper(59,a,25,a,b,3234,a)]. 3237 x \ L(L(x,y,y),y,z) = a(x,z \ y,y). [hyper(97,a,3236,a,b,3100,a)]. 3238 L(x,T(y,z),(y \ u) * (y \ w)) = L(x,T(y,z),u * w). [hyper(59,a,1655,a(flip),b,3226,a)]. 3239 x \ L(x,y,z \ y) = a(x,y * z,y). [hyper(3141,a,3232,a)]. 3240 x \ L(x,x * y,z) = a(z,y \ x,x). [hyper(2660,a,3232,a),flip(a)]. 3241 a(x,y \ z,y) = a(x,y * z,y). [hyper(35,a,3140,a,b,3232,a)]. 3242 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(T(a(x,z * y,z),v5),w,u),a(x,y \ z,z)). [hyper(219,a,3144,a,b,3232,a(flip)),flip(a)]. 3244 a(x,1 * a(y,z \ u,u),w) = a(x,a(y,u * z,u),w \ 1). [para(3232(a,1),3089(a,1,2))]. 3245 (R(a(x,y * z,y),u,w) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(3232(a,1),3196(a,1,2,1))]. 3246 a(x,y * (z \ y),y) = a(x,z \ 1,y). [hyper(2236,a,3241,a),flip(a)]. 3247 a(x,y \ z,y) = a(y,x,y * z). [hyper(189,a,3091,a(flip),b,3241,a),flip(a)]. 3248 a(x,y,x \ z) = a(x,y,x * z). [hyper(3122,a,3247,a)]. 3249 R(x,y * z,y) = L(x,y,z \ y). [hyper(34,a,3041,a(flip),b,3239,a)]. 3250 R(x,y,z \ x) = L(x,x * z,y). [hyper(34,a,3095,a(flip),b,3240,a)]. 3252 R(x,y,z) = L(x,x * (z \ x),y). [hyper(59,a,1942,a(flip),b,3250,a)]. 3253 L(L(x,y,z),x * (u \ x),w) = L(R(x,w,u),y,z). [para(3252(a,2),25(a,1,1)),flip(a)]. 3254 a(x,y * (z \ y),y) = a(x,z,y \ 1). [hyper(189,a,3089,a(flip),b,3246,a),flip(a)]. 3255 a(x,y,x * (z \ x)) = a(y,z,x \ 1). [hyper(3122,a,3254,a)]. 3256 a(x,y,a(z,u,x) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(2657(a,2),3255(a,1,3))]. 3257 R(x,y,z \ u) = L(x,u \ z,y). [hyper(2773,a,3201,a),flip(a)]. 3258 a(x,a(y,z,u),w \ 1) = a(a(y,z,u),x,w). [hyper(2670,a,3055,a)]. 3259 a(a(x \ 1,y,z),u,w) = a(a(y,z,x),w,u). [hyper(59,a,2647,a(flip),b,3055,a)]. 3261 a(x,y,a(z,u,w)) \ v5 = a(a(z,u,w),y,x) * v5. [para(3055(a,1),2635(a,1,1)),flip(a)]. 3262 a(a(x,y,z),u,w \ 1) != v5 | a(u,a(x,y,z),w) = v5. [para(3055(a,1),2668(a,1))]. 3263 a(x,a(y,z,u),w \ 1) != v5 | a(x,w,a(y,z,u)) = v5. [para(3258(a,2),3120(a,1))]. 3264 L(x,y,a(z \ 1,u,w)) = a(a(u,w,z),x,y) \ x. [para(3259(a,1),2630(a,2,1))]. 3265 a(x,y,a(z,u,w)) \ v5 = a(x,a(z,u,w),y) * v5. [para(3091(a,1),3261(a,2,1))]. 3266 L(a(x,y,z) \ u,a(x,y,z),w) = w \ ((w / a(x,y,z)) * u). [hyper(59,a,1014,a(flip),b,3235,a),flip(a)]. 3267 a(a(x,y,z),u \ 1,w) != v5 | a(w,u,a(x,y,z)) = v5. [para(3091(a,2),3263(a,1))]. 3268 (x * L(x \ y,z,u)) \ x = L(y \ x,z,u). [para(1222(a,1),3155(a,1,1)),flip(a)]. 3269 a(x,y,L(z \ u,w,v5) \ v6) = a(x,y,v6 * L(u \ z,w,v5)). [para(3268(a,1),2279(a,1,3,2)),flip(a)]. 3270 x * (a(y,z,u) \ a(x,w,v5 \ 1)) = a(y,z,u) \ L(x,v5,w). [para(3217(a,2),3177(a,2,2))]. 3271 x * (a(y,z,u) \ a(x,w,v5)) != v6 | a(y,z,u) \ R(x,w,v5) = v6. [para(3178(a,1),164(a,1,2))]. 3272 a(x,y,z) \ a(u,w,x \ 1) = R(x,y,z) \ L(x,w,u). [para(3091(a,2),3190(a,1,2))]. 3273 L(x,T(y,z),(y * u) * w) = L(x,T(y,z),u * (y \ w)). [para(4(a,1),3238(a,1,3,1)),flip(a)]. 3274 L(x,T(y,z),(y * u) * w) = L(x,y,u * (y \ w)). [hyper(189,a,1967,a(flip),b,3273,a),flip(a)]. 3275 L(x,y,(y * z) * u) = L(x,y,z * (y \ u)). [hyper(1990,a,3274,a)]. 3277 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(u,w,z),y). [hyper(189,a,3061,a(flip),b,3131,a),flip(a)]. 3279 R(x,R(y \ 1,z,u),w) != v5 | L(x,w,a(y,z \ 1,u) \ y) = v5. [para(3079(a,2),3149(a,1,2))]. 3280 L(a(x,y,z),u,w * L(z,y,x)) = a(x,y,R(z,u,w)). [para(3079(a,2),3154(a,2,3))]. 3281 a(x,y,L(z,u \ (L(z,y,x) \ 1),w)) = L(a(x,y,z),w,u). [para(1981(a,1),3161(a,1,3))]. 3282 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [hyper(189,a,3265,a(flip),b,3179,a),flip(a)]. 3283 a(x,y,R(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [para(3215(a,1),3281(a,1,3))]. 3284 a(x,y,z) \ (u * a(x,w,v5)) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(59,a,3102,a(flip),b,3116,a)]. 3285 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,(w \ (u * z)) \ u). [hyper(189,a,3085,a(flip),b,3132,a),flip(a)]. 3286 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(1 / x,y),z,u). [hyper(189,a,3208,a(flip),b,3205,a),flip(a)]. 3287 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ a(u,w,v5). [para(2050(a,1),3209(a,2,2))]. 3288 (x * a(y,z,u)) \ R(x,w,v5) = a(y,z,u) \ a(x,w,v5). [hyper(59,a,2538,a(flip),b,3287,a)]. 3290 L(x \ L(x,y,z),u,w) * v5 = L(a(z,y,x),u,w) \ v5. [hyper(189,a,2555,a(flip),b,3211,a),flip(a)]. 3291 L(a(x,y,z),u,w) \ (w * u) = w * (a(x,y,z) \ u). [hyper(59,a,2900,a(flip),b,3290,a),flip(a)]. 3292 L(a(x,y,z),u,x) = a(x,y,z). [hyper(3157,a,3291,a),flip(a)]. 3293 R(a(x,y,z),u,x) = a(x,y,z). [hyper(2920,a,3292,a)]. 3294 L(a(x,y,z),u,x) = a(z,x,y). [hyper(189,a,3091,a(flip),b,3292,a),flip(a)]. 3295 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(59,a,2972,a(flip),b,3292,a)]. 3296 (a(x,y,z) * u) * x = a(x,y,z) * (u * x). [para(3293(a,1),85(a,1,1)),flip(a)]. 3297 L(a(x,y,z),u,y) = a(x,y,z). [para(3091(a,1),3294(a,1,1))]. 3298 a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)). [para(238(a,1),3295(a,1,3)),flip(a)]. 3299 a(x \ 1,y,(z \ u) / x) = a(x \ 1,y,z \ (u / x)). [para(1074(a,1),3295(a,1,3))]. 3300 a(x,y,z) \ L(z,u,x) = L(L(z,u,x),y,x). [para(3295(a,1),2630(a,2,1)),flip(a)]. 3301 a(x,y,L(z,u,y)) = a(x,y,z). [hyper(59,a,2972,a(flip),b,3297,a)]. 3302 L(x,y,a(x,z,u)) = x. [hyper(234,a,3296,a)]. 3303 (a(x,y,z) * u) * x = u * R(x,y,z). [hyper(189,a,3184,a(flip),b,3296,a),flip(a)]. 3304 L(x,a(x,y,z),u) = x. [hyper(3071,a,3302,a)]. 3305 (x \ R(y,z,u)) * y = (x \ y) * R(y,z,u). [para(3198(a,1),3303(a,1,1))]. 3306 a(x,y,z \ (x * u)) = a(x,y,u * (z \ x)). [hyper(2277,a,3298,a),flip(a)]. 3307 a(x,y,z) \ L(x,u,y) = L(L(x,u,y),z,y). [hyper(59,a,3102,a(flip),b,3300,a)]. 3308 (x \ R(y,z,u)) / y = (y * x) \ R(y,z,u). [hyper(98,a,1654,a(flip),b,3305,a)]. 3309 x \ L(x,y,(y * z) \ u) = a(y,x,z * (u \ y)). [hyper(2705,a,3306,a)]. 3310 a(x,y,x * (z \ x)) \ L(x,u,y) = L(R(x,y,z),u,y). [hyper(189,a,3253,a(flip),b,3307,a),flip(a)]. 3311 R(x,y,z) \ L(x,u,y) = x \ L(L(x,u,y),z,y). [hyper(97,a,3307,a(flip),b,3163,a),flip(a)]. 3312 L(L(x,y,z),u,z) \ x = L(x,y,z) \ R(x,z,u). [para(3307(a,1),3169(a,1,1))]. 3314 R(x,y,z) \ L(x,u,y) = x \ L(L(x,z,y),u,y). [para(25(a,1),3311(a,2,2))]. 3315 L(L(x,y,z),u,z) \ x = a(x,z,y) * a(x,z,u). [hyper(189,a,3119,a(flip),b,3312,a),flip(a)]. 3316 1 * (a(x,y,z) * a(x,y,u)) = L(L(x,z,y),u,y) \ x. [hyper(189,a,2,a,b,3315,a)]. 3317 a(x \ 1,y,z \ (u / x)) = a(x \ 1,y,x \ (z \ u)). [hyper(2271,a,3299,a),flip(a)]. 3318 a(x,y,z \ 1) \ L(z,u,x) = L(R(z,x,y),u,x). [para(3255(a,1),3310(a,1,1))]. 3319 L(x,y,z) * a(x,z,u) = L(R(x,z,u),y,z). [hyper(2706,a,3318,a)]. 3320 a(x,y,z) \ a(y,z,u) = y \ L(R(y,z,u),x,z). [hyper(97,a,3319,a(flip),b,3112,a),flip(a)]. 3321 a(x,y,z) \ a(x,y,u) = x \ L(R(x,y,u),z,y). [hyper(97,a,3319,a(flip),b,3111,a),flip(a)]. 3322 L(x,y,z) * a(z,u,x) = L(R(x,z,u),y,z). [para(3091(a,2),3319(a,1,2))]. 3323 L(R(x,y,z),z,y) = x. [hyper(2643,a,3322,a),flip(a)]. 3324 R(L(x,y,z),z,y) = x. [hyper(2636,a,3322,a(flip)),flip(a)]. 3325 a(x,y,z) \ a(x,u,z) = z \ L(R(z,x,u),y,x). [hyper(97,a,3322,a(flip),b,2694,a),flip(a)]. 3326 L(x,y,z) != u | R(u,z,y) = x. [para(3323(a,1),46(a,1)),flip(a)]. 3327 (L(x,y,z) * z) * y = x * (z * y). [para(3323(a,1),249(a,1,1)),flip(a)]. 3328 L(x,a(y,z,u),u) = x. [para(3037(a,1),3323(a,1,1))]. 3330 (x * (y * z)) / z = L(x,z,y) * y. [para(3324(a,1),179(a,1,1,1))]. 3332 (L(x,y,z) * z) * y != u * (z * y) | x = u. [para(3327(a,2),40(a,1))]. 3333 (x * (a(x,y,z) \ y)) * z = x * (y * z). [para(3111(a,2),3327(a,1,1))]. 3334 L(x,y,z) = ((x * (z * y)) / y) / z. [hyper(98,a,3330,a,b,xx),flip(a)]. 3335 (x * T(x * y,y)) / x = L(x * y,y,x). [hyper(98,a,2813,a(flip),b,3330,a(flip))]. 3337 (x * L(y,x,z)) * z = x * (y * z). [para(3105(a,2),3333(a,1,1,2))]. 3338 (x * (y * L(z,x * y,u))) * u = (x * y) * (L(z,y,x) * u). [para(220(a,1),3337(a,1,1))]. 3339 T(T(x * y,y),x) = L(x * y,y,x). [hyper(648,a,3335,a)]. 3340 L(x * y,y,x) = ((1 / y) / x) \ 1. [hyper(1259,a,3339,a),flip(a)]. 3341 x \ L(x * y,y,x) = x * (((1 / y) * x) \ 1). [para(3340(a,2),2751(a,1,2))]. 3342 L(x,y,x * y) = y * (((1 / x) * y) \ 1). [hyper(59,a,3148,a(flip),b,3341,a)]. 3343 R(x,y,L(z,u,z * u) * u) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(3342(a,2),1944(a,1,3,1))]. 3344 x * (y \ L(R(y,x,z),u,x)) = a(x,u,y) \ R(x,z,y). [hyper(99,a,3325,a(flip),b,3178,a)]. 3345 a(x \ 1,y,z \ (x \ u)) = a(x \ 1,y,x \ (z \ u)). [hyper(2275,a,3317,a)]. 3346 x * (y \ L(R(y,x,z),u,x)) = a(x,z,y) * L(x,y,u). [hyper(189,a,3199,a(flip),b,3344,a),flip(a)]. 3347 a(x \ 1,y,x \ (z \ u)) = a(y,z \ (x \ u),x \ 1). [hyper(3120,a,3345,a),flip(a)]. 3348 a(x \ 1,y,x \ (z \ u)) = a(x,y,(x \ u) \ z). [hyper(189,a,3093,a(flip),b,3347,a),flip(a)]. 3349 a(x \ 1,y,x \ (z \ u)) = a(x,y,z * (u \ x)). [hyper(189,a,2276,a(flip),b,3348,a),flip(a)]. 3350 a(x,y \ (z \ u),y \ 1) = a(y,x,z * (u \ y)). [hyper(3120,a,3349,a)]. 3351 a(x,y,(z \ u) \ x) = a(x,y,z * (u \ x)). [hyper(3128,a,3350,a)]. 3352 x \ L(x,y,y * (z \ u)) = a(y,x,z * (u \ y)). [hyper(59,a,3228,a,b,3351,a)]. 3353 L(x,y,(y * z) \ u) = L(x,y,y * (z \ u)). [hyper(34,a,3309,a,b,3352,a)]. 3354 a(x,y,x * (z \ u)) \ y = L(y,x,(x * z) \ u). [hyper(189,a,3105,a(flip),b,3353,a)]. 3355 a(x,y,(x * z) \ u) = a(x,y,x * (z \ u)). [hyper(35,a,3105,a(flip),b,3354,a)]. 3356 a(x,a(y,z * u,z),w \ 1) = a(x,a(y,u \ z,z),w). [para(2(a,1),3244(a,1,2)),flip(a)]. 3357 a(x,a(y,z \ u,u),w) = a(x,w,a(y,u * z,u)). [hyper(3263,a,3356,a),flip(a)]. 3358 a(x,y,a(x,z,u) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(3091(a,1),3256(a,1,3,1))]. 3359 x * (R(y,z,u) \ L(y,w,x)) = a(y,z,u) \ L(x,y,w). [para(3272(a,1),3270(a,1,2))]. 3360 x * (y \ L(L(y,z,x),u,x)) = a(y,x,z) \ L(x,y,u). [para(3314(a,1),3359(a,1,2))]. 3361 (L(x,y,z) * (L(x,u,w) \ v5)) \ 1 = (v5 * a(x,w,u)) \ a(x,z,y). [para(3284(a,1),2595(a,1,1))]. 3362 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,((u * z) \ w) * u). [hyper(189,a,1053,a(flip),b,3285,a),flip(a)]. 3363 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,1 / x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [hyper(219,a,3338,a,b,2117,a),flip(a)]. 3364 a(x,y,a(x,z,u) * (x * (w \ L(x,u,z)))) = a(y,w,x \ 1). [para(1849(a,1),3358(a,1,3,2))]. 3365 L(x,y,(z / u) \ (u \ w)) = L(x,y,((u * z) \ w) * u). [hyper(2758,a,3362,a)]. 3366 L(x,y,((z * u) \ w) * z) = L(x,y,(u \ z) * (z \ w)). [hyper(59,a,1052,a(flip),b,3365,a),flip(a)]. 3367 L(x,y,(z \ u) * (u \ w)) = L(x,y,u * ((u * z) \ w)). [hyper(1033,a,3366,a),flip(a)]. 3368 L(x,y,(((1 / z) * u) \ w) * (1 / z)) = L(x,y,(u \ (1 / z)) * T(w * z,z)). [para(588(a,2),3366(a,2,3,2))]. 3369 (x * L(y,z,u * ((u * w) \ v5))) \ (x * y) = a((w \ u) * (u \ v5),z,y). [para(3367(a,1),2696(a,1,1,2))]. 3370 a(x,y,R(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [para(3167(a,1),3364(a,1,3))]. 3371 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ L(R(x,z,u),y,y). [para(24(a,1),3045(a,2,2))]. 3372 T(a(x,y,z),x) * a(x,u,u) = x \ L(R(x,y,z),u,u). [para(900(a,1),3371(a,1,1,1))]. 3374 T(a(x,y,z),y) * a(y,u,u) = y \ L(R(y,z,x),u,u). [para(3091(a,1),3372(a,1,1,1))]. 3375 T(a(x,y,z),y) * a(y,x,x) = y \ L(y,x,z \ x). [para(3130(a,1),3374(a,2,2))]. 3376 T(a(x,y,z),y) * a(y,x,x) = a(y,x * z,x). [hyper(189,a,3239,a(flip),b,3375,a),flip(a)]. 3377 T(a(x,y,z),x) * a(x,z,z) = a(x,z * y,z). [para(3091(a,2),3376(a,1,1,1))]. 3378 a(x,y,z) * a(x,z,z) = a(x,z * y,z). [para(2050(a,1),3377(a,1,1))]. 3380 a(x,y,a(z,u * w,u)) = a(x,y,a(z,w,u)). [para(3378(a,1),2623(a,1,3))]. 3381 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,w \ a(z,u,y \ 1),v5). [para(2702(a,1),3193(a,2,2))]. 3382 a(x,R(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(59,a,2228,a(flip),b,3381,a)]. 3383 R(x,y,L(z * u,z,u)) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(3124(a,1),3343(a,1,3))]. 3384 R(x,y,L(z * u,z,u)) = R(x,y,u * (u * ((1 / z) \ (1 / u)))). [para(1544(a,1),3383(a,2,3,2))]. 3385 R(x,y,L(z * u,z,u)) = R(x,y,(1 / z) \ ((u \ 1) \ 1)). [para(2815(a,1),3384(a,2,3))]. 3386 R(x,y,L(z * u,z,u)) = L(x,((u \ 1) \ 1) \ (1 / z),y). [hyper(189,a,3257,a(flip),b,3385,a),flip(a)]. 3387 R(x,y,L(z * u,z,u)) = L(x,1 / (z * u),y). [para(1444(a,1),3386(a,2,2))]. 3388 R(x,y,L(z * u,z,u)) = R(x,y,z * u). [hyper(189,a,3214,a,b,3387,a),flip(a)]. 3389 L(x,y,R(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [para(3286(a,1),3206(a,1,3,1))]. 3390 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = a(x,y,L(z,u,w)). [hyper(189,a,2972,a(flip),b,3210,a),flip(a)]. 3391 a(x,y,L(z,u,L(z,y,x) * (u \ w))) = a(x,y,L(z,u,w)). [para(3275(a,1),3390(a,1,3))]. 3392 a((x \ y) * (y \ z),u,w) = a(y * ((y * x) \ z),u,w). [hyper(2714,a,3369,a),flip(a)]. 3393 a(x * ((x * y) \ z),u,w) = a(u,w,(y \ x) * (x \ z)). [hyper(3120,a,3392,a),flip(a)]. 3394 a(x,y,(z \ u) * (u \ w)) = a(x,y,u * ((u * z) \ w)). [hyper(3120,a,3393,a),flip(a)]. 3395 a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((z * w) \ u)). [hyper(2267,a,3394,a)]. 3396 a(x,y,z * ((z * u) \ (w \ 1))) = a(x,y,(z * w) \ (u \ z)). [hyper(59,a,2331,a(flip),b,3394,a),flip(a)]. 3397 a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((w * z) \ u)). [hyper(189,a,2349,a,b,3395,a),flip(a)]. 3398 a(x,y,z * ((u * z) \ (w * u))) = a(x,y,L(w,u,z \ 1)). [hyper(2345,a,3397,a),flip(a)]. 3399 a(x,y,z * ((z \ (u \ w)) * u)) = a(x,y,L(w,u,z \ 1)). [hyper(59,a,2337,a(flip),b,3398,a)]. 3400 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,L(z,u,w \ 1)). [hyper(59,a,2352,a,b,3399,a)]. 3401 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(z * u) \ (w \ z)). [hyper(59,a,2899,a(flip),b,3396,a)]. 3402 a(x,y,L(z,u * u,w)) = a(x,y,L(z,u,w \ 1)). [para(3222(a,1),3400(a,1,3))]. 3403 a(x,y,L(z,u * u,w)) = a(x,y,R(z,w,u)). [para(3079(a,2),3402(a,2,3))]. 3404 L(x,y,(z \ u) * (z * w)) = L(x,y,z * ((z \ w) * u)). [hyper(34,a,2699,a,b,3401,a)]. 3405 L(x,y,z * ((z \ u) * (w \ z))) = L(x,y,w \ (z * u)). [hyper(59,a,1051,a(flip),b,3404,a),flip(a)]. 3406 L(x,y,z * ((z \ u) \ (z \ w))) = L(x,y,u \ (z * w)). [hyper(1080,a,3405,a)]. 3407 L(x,y,(z * u) \ (z * w)) = L(x,y,z * (u \ (z \ w))). [para(4(a,1),3406(a,1,3,2,1)),flip(a)]. 3408 L(x,y,(z * u) \ (z * w)) = L(x,y,z \ (w * (u \ z))). [hyper(189,a,1912,a,b,3407,a),flip(a)]. 3409 L(x,y,z \ (u * ((w * u) \ z))) = R(x,L(w,u,z),y). [hyper(59,a,3277,a(flip),b,3408,a),flip(a)]. 3410 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(w,z,u) * v5). [hyper(189,a,1019,a(flip),b,3087,a),flip(a)]. 3411 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,R(w,u,z) * v5). [hyper(1936,a,3410,a)]. 3413 L(x,y,((z * (u \ 1)) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(1068,a,3220,a)]. 3414 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(1935,a,3413,a)]. 3416 L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). [hyper(59,a,3411,a(flip),b,3414,a)]. 3417 L(x,y,R(z,u,w) * (v5 \ (v5 / v6))) = L(x,y,v6 \ L(z,u,w)). [hyper(189,a,1057,a(flip),b,3416,a),flip(a)]. 3418 L(x,y,L(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [hyper(59,a,3389,a(flip),b,3416,a),flip(a)]. 3419 L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). [hyper(59,a,1057,a(flip),b,3417,a)]. 3420 L(x,y,z \ L(z,u,w)) = L(x,y,a(z,u,w)). [para(3041(a,2),3419(a,1,3)),flip(a)]. 3421 L(x,y,a(z \ 1,u,w)) = L(x,y,a(z,w,u)). [hyper(1087,a,3420,a)]. 3422 a(a(x,y,z),u,w) \ u = L(u,w,a(z,y,x)). [hyper(59,a,3264,a(flip),b,3421,a)]. 3423 a(a(x,y,z),u,w) = a(a(z,y,x),w,u). [hyper(35,a,2630,a(flip),b,3422,a)]. 3424 a(a(x,y,z),u \ 1,w) = a(w,a(z,y,x),u). [hyper(3262,a,3423,a),flip(a)]. 3425 a(x,a(y,z,u),w) = a(x,w,a(u,z,y)). [hyper(3267,a,3424,a),flip(a)]. 3426 a(x,a(y,z,u),w) = a(x,w,a(y,u,z)). [para(3091(a,1),3425(a,1,2))]. 3427 a(x,y,a(z,u * w,u)) = a(x,a(z,u,w),y). [hyper(189,a,3380,a,b,3426,a)]. 3428 a(x,a(y,z \ u,u),w) = a(x,a(y,u,z),w). [hyper(59,a,3357,a,b,3427,a)]. 3429 L(x,y,L(1 / z,u,w) * v5) = L(x,y,R(z,u,w) \ v5). [hyper(1878,a,3418,a)]. 3430 L(x,y,(1 / L(z,u,w)) * v5) = L(x,y,R(z,u,w) \ v5). [para(3125(a,1),3429(a,1,3,1))]. 3431 L(x,y,(L(z,u,w) \ 1) * v5) = L(x,y,R(z,u,w) \ v5). [hyper(1069,a,3430,a)]. 3432 L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [hyper(1060,a,3431,a),flip(a)]. 3433 x * a(y,x,z \ L(u,w,v5)) = L(x,y,R(u,w,v5) \ z). [hyper(189,a,2663,a,b,3432,a)]. 3434 a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)). [hyper(30,a,2663,a,b,3433,a)]. 3435 a(x,y,(z * u) \ L(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [hyper(59,a,3202,a(flip),b,3434,a),flip(a)]. 3436 a(x,y,(1 / z) \ L(u,w,v5)) = a(x,y,R(u,w,v5) * z). [hyper(59,a,2239,a(flip),b,3434,a),flip(a)]. 3437 x * a(x,y,z \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). [hyper(99,a,3434,a(flip),b,3041,a(flip))]. 3438 a(x,y,(1 / L(z,z,R(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(2914(a,1),3434(a,1,3)),flip(a)]. 3439 a(x,y,x * (z \ L(x,u,w))) = a(x,y,z \ a(x,u,w)). [hyper(59,a,3355,a(flip),b,3435,a)]. 3440 a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5). [hyper(59,a,2239,a(flip),b,3436,a),flip(a)]. 3441 a(x,y,L(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [hyper(59,a,3370,a(flip),b,3440,a),flip(a)]. 3442 R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)). [hyper(3053,a,3437,a),flip(a)]. 3443 R(x,y,z \ R(u,w,v5)) = L(x,L(u,w,v5) \ z,y). [hyper(189,a,3257,a(flip),b,3442,a),flip(a)]. 3444 L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). [hyper(59,a,3257,a(flip),b,3443,a)]. 3445 L(x,L(y,z,u) \ w,v5) \ x = a(v5,R(y,z,u) \ w,x). [para(3444(a,1),2633(a,2,1)),flip(a)]. 3446 (x \ K(y,z)) \ L(x \ K(y,z),L(u,w,v5) \ v6,v7) = a(x,v7,R(u,w,v5) \ v6). [para(3444(a,1),2879(a,1,2))]. 3448 a(x,y,x * (z \ L(x,u,w))) != v5 | a(y,z \ a(x,u,w),x) = v5. [para(3439(a,2),3120(a,1))]. 3449 a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). [hyper(2638,a,3445,a),flip(a)]. 3450 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(59,a,3382,a(flip),b,3449,a),flip(a)]. 3451 a(x,y \ a(z,u,w \ 1),v5) = a(x,y \ a(u,z,w),v5). [hyper(59,a,2804,a(flip),b,3450,a),flip(a)]. 3452 a(x,a(y,z,u) \ (w \ 1),v5) = a(x,w \ a(u,z,y),v5). [hyper(2776,a,3451,a)]. 3453 a(x \ 1,y \ a(z,u,w),v5) = a(v5,x,y * a(w,u,z)). [hyper(2704,a,3452,a),flip(a)]. 3454 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(w,u,z)). [hyper(2686,a,3453,a)]. 3455 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(z,w,u)). [para(3091(a,1),3454(a,1,3,1))]. 3456 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (((1 / u) * z) \ w)). [hyper(1061,a,3368,a),flip(a)]. 3457 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (w * (z \ u))). [hyper(189,a,1914,a(flip),b,3456,a),flip(a)]. 3458 L(x,y,(z \ (1 / u)) * (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(1046,a,3457,a)]. 3459 L(x,y,(z * u) \ (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(1072,a,3458,a)]. 3461 L(x,y,z \ (u * ((w * u) \ z))) = R(x,R(w,u,z),y). [hyper(59,a,3133,a(flip),b,3459,a),flip(a)]. 3462 R(x,R(y,z,u),w) = R(x,L(y,z,u),w). [hyper(59,a,3409,a(flip),b,3461,a),flip(a)]. 3463 L(x,y,a(z,u \ 1,w) \ z) = R(x,L(z \ 1,u,w),y). [hyper(3279,a,3462,a)]. 3464 x \ R(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(97,a,3462,a,b,3083,a(flip))]. 3465 a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). [hyper(3088,a,3464,a)]. 3466 a(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(3058,a,3464,a)]. 3467 a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u)). [hyper(59,a,3403,a,b,3465,a)]. 3468 a(x,y,L(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [hyper(59,a,3283,a(flip),b,3465,a),flip(a)]. 3469 a(x,y,L(L(z,u,w),w,u)) = a(x,y,z). [para(3324(a,1),3465(a,1,3)),flip(a)]. 3470 a(x,R(y,z,u),w) = a(x,L(y,z,u),w). [hyper(189,a,3091,a,b,3466,a),flip(a)]. 3471 a(x,y,L(z,y,u)) = a(x,y,z). [hyper(59,a,3301,a(flip),b,3469,a)]. 3472 a(x,y,z) \ L(z,y,u) = L(L(z,y,u),y,x). [para(3471(a,1),2630(a,2,1)),flip(a)]. 3473 a(x,L(y,z,u),w) \ w = L(w,R(y,z,u),x). [para(3470(a,1),2630(a,2,1)),flip(a)]. 3474 a(x * (y \ x),x,z) \ L(z,x,u) = R(L(z,x,u),y,x). [hyper(189,a,3227,a,b,3472,a),flip(a)]. 3475 a(x,y,z) \ L(y,x,u) = L(L(y,x,u),x,z). [hyper(59,a,3102,a,b,3472,a)]. 3476 L(x,R(y,z,u),w) = L(x,L(y,z,u),w). [hyper(2658,a,3473,a),flip(a)]. 3477 x * (y \ L(L(y,z,x),u,x)) = L(L(x,y,u),y,z). [hyper(59,a,3360,a,b,3475,a)]. 3478 x \ L(L(x,y,z),u,z) = z \ L(L(z,x,y),x,u). [hyper(97,a,25,a,b,3477,a),flip(a)]. 3479 x \ L(L(x,x,y),z,y) = a(y,z \ x,x). [hyper(189,a,3237,a(flip),b,3478,a),flip(a)]. 3480 x \ L(L(x,x,y),z,y) = a(x,y,z \ x). [hyper(189,a,3091,a(flip),b,3479,a),flip(a)]. 3481 L(L(x,x,y),z,y) = L(x,x * z,y). [hyper(34,a,3240,a,b,3479,a),flip(a)]. 3482 L(L(x,x,y),z,L(y,u,w)) = L(x,x * z,L(y,u,w)). [para(2906(a,1),3481(a,1,1))]. 3483 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),R(z,u,w),y). [para(1111(a,2),3480(a,2,3)),flip(a)]. 3484 L(a(x,y,z),u,u \ w) = a(x,y,L(z,u,w)). [hyper(59,a,3391,a(flip),b,3468,a),flip(a)]. 3485 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [hyper(59,a,3160,a(flip),b,3484,a),flip(a)]. 3486 a(x,L(y,z,u),w) = L(a(w,x,y),z,u). [hyper(3120,a,3485,a)]. 3487 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x \ 1,u,w)). [hyper(189,a,3212,a,b,3485,a)]. 3488 a(x,y,L(z,u,w)) = R(a(x,y,z),u,w). [hyper(189,a,2916,a,b,3485,a),flip(a)]. 3489 (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). [hyper(99,a,3485,a,b,13,a(flip))]. 3490 L(a(x,y,L(z,u,w)),w,u) = a(x,y,z). [hyper(59,a,3469,a(flip),b,3485,a),flip(a)]. 3491 a(x,y,L(z,u,w)) \ (w * u) = w * (a(x,y,z) \ u). [para(3485(a,2),3291(a,1,1))]. 3492 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = L(a(x,y,L(z,w,u)),v5,u) \ a(x,y,z). [para(3485(a,2),3316(a,2,1,1))]. 3493 a(x,L(y,z,u),w) = L(a(x,y,w),z,u). [para(3091(a,2),3486(a,2,1))]. 3494 L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. [para(3486(a,1),3122(a,1))]. 3495 a(x,y,L(z,u,w)) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [para(3488(a,2),3282(a,1,1))]. 3496 a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). [hyper(189,a,3485,a,b,3493,a),flip(a)]. 3497 x * a(x,y,L(z,u,w)) = R(x,L(y,u,w),z). [hyper(99,a,3496,a(flip),b,3041,a(flip))]. 3498 a(x,y,L(z,u,w)) \ x = L(x,z,L(y,u,w)). [para(3496(a,1),3104(a,2,1)),flip(a)]. 3499 a(x,L(y \ z,u,w),v5) \ v6 = v6 * a(x,z \ y,L(v5,u,w)). [para(3496(a,2),3140(a,1,1))]. 3500 L(x,a(y,z,L(u,w,v5)),u) = x. [para(3496(a,1),3328(a,1,2))]. 3501 L(x,a(y,z,u),L(u,w,v5)) = x. [para(3469(a,1),3500(a,1,2))]. 3502 L(x,a(y,z,u),L(y,w,v5)) = x. [para(3091(a,1),3501(a,1,2))]. 3503 L(x,y,z) \ ((L(x,y,z) / a(x,u,w)) * v5) = a(x,u,w) \ v5. [hyper(59,a,3266,a(flip),b,3502,a)]. 3505 R(x,L(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(3053,a,3497,a),flip(a)]. 3506 R(x,R(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(59,a,3462,a,b,3505,a)]. 3508 R(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(3506(a,1),255(a,1,1))]. 3509 L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(3106,a,3498,a)]. 3510 L(x,R(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(59,a,3476,a,b,3509,a)]. 3512 a(x,L(y,z,u),w) != v5 | a(x,y,L(w,z,u)) = v5. [para(3493(a,2),3494(a,1))]. 3513 (x * y) \ a(z,u,L(w,y,x)) = (x * (a(z,u,w) \ y)) \ 1. [para(3491(a,1),2595(a,1,1)),flip(a)]. 3514 K(x,y * (a(z,u,w) \ v5)) = K(x,y * v5). [para(3491(a,1),2841(a,1,2))]. 3515 a(x,y,z) \ (u * a(z,w,v5)) = u * (a(x,y,z) \ a(z,w,v5)). [para(3304(a,1),3491(a,1,1,3))]. 3517 R(x,L(y \ 1,z,u),w) = L(x,w,L(y,u,z \ 1)). [para(3104(a,2),3463(a,1,3)),flip(a)]. 3518 R(x,L(y \ 1,z,u),w) = L(x,w,R(y,z,u)). [para(3079(a,2),3517(a,2,3))]. 3519 L(x,y,a(z,u,w) \ z) = L(x,y,R(z,w,u)). [hyper(3149,a,3518,a)]. 3520 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [para(3104(a,2),3519(a,1,3)),flip(a)]. 3521 a(x,y,(1 / L(z,z,L(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(3520(a,1),3438(a,1,3,1,2))]. 3522 a(x * (y \ x),x,z) \ L(z,x,u) = L(R(z,y,x),x,u). [hyper(189,a,24,a(flip),b,3474,a),flip(a)]. 3523 a(x,y * (z \ y),y) \ L(x,y,u) = L(R(x,z,y),y,u). [hyper(59,a,3102,a(flip),b,3522,a)]. 3524 a(x,y,z \ 1) \ L(x,z,u) = L(R(x,y,z),z,u). [para(3254(a,1),3523(a,1,1))]. 3525 a(x,y,z) * L(x,z,u) = L(R(x,y,z),z,u). [hyper(59,a,3110,a(flip),b,3524,a)]. 3526 x * (y \ L(R(y,x,z),u,x)) = L(R(x,z,y),y,u). [hyper(59,a,3346,a,b,3525,a)]. 3527 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x,u,w) \ 1). [para(3123(a,1),3487(a,2,3))]. 3528 a(x,y,z) * L(x,L(z,u,w),y) = a(u,a(x,y,z),w) * x. [hyper(59,a,3199,a(flip),b,3495,a)]. 3529 a(x,y,L(z,u,w)) \ a(x,y,z) = a(u,a(x,y,z),w). [hyper(3147,a,3528,a)]. 3530 a(x,y,L(z \ u,w,v5)) \ v6 = v6 * a(y,u \ z,L(x,w,v5)). [hyper(59,a,3102,a(flip),b,3499,a)]. 3531 L(x,y,z) \ ((a(x,u,w) \ L(x,y,z)) * v5) = a(x,u,w) \ v5. [para(2535(a,1),3503(a,1,2,1))]. 3532 (x / L(y,z,u)) * L(y,w,v5) = x * (a(v5,w,y) \ a(y,u,z)). [hyper(59,a,3146,a(flip),b,3515,a)]. 3533 L(x,y,z) * (L(x,u,w) \ v5) = v5 * (a(z,y,x) \ a(x,w,u)). [hyper(59,a,3116,a(flip),b,3515,a)]. 3534 a(x,L(y,z,u),w \ v5) \ v6 = v6 * a(y,v5 \ w,L(x,z,u)). [para(3496(a,2),3530(a,1,1))]. 3535 L(x,y,z) * (a(x,u,w) \ (L(x,y,z) \ v5)) = a(x,u,w) \ v5. [hyper(59,a,2970,a(flip),b,3531,a)]. 3536 (x / L(y,z,u)) * L(y,w,v5) = x * (a(y,v5,w) \ a(y,u,z)). [para(3091(a,1),3532(a,2,2,1))]. 3537 (x * (a(y,z,u) \ a(u,w,v5))) \ 1 = (x * a(u,w,v5)) \ a(u,y,z). [para(3533(a,1),3361(a,1,1))]. 3538 a(x,L(y,z,u),w \ 1) \ v5 = v5 * a(y,w,L(x,z,u)). [para(61(a,1),3534(a,2,2,2))]. 3539 a(x,L(y,z,u) \ 1,w) \ v5 = v5 * a(y,w,L(x,z,u)). [para(3089(a,2),3538(a,1,1))]. 3540 a(x,y,L(z,u,w) \ 1) \ v5 = v5 * a(z,x,L(y,u,w)). [hyper(59,a,3102,a(flip),b,3539,a)]. 3541 ((a(x,y,z) \ a(x,u,w)) \ 1) * ((((a(x,y,z) \ a(x,u,w)) * v5) / L(x,w,u)) * L(x,z,y)) = v5 * (a(x,y,z) \ a(x,u,w)). [hyper(99,a,3536,a,b,1597,a)]. 3542 (x * (a(y,z,u) \ a(y,w,v5))) \ 1 = (x * a(y,w,v5)) \ a(y,z,u). [para(3091(a,1),3537(a,1,1,2,1))]. 3543 (x * a(y,z,u)) \ a(y,w,v5) = x \ (a(y,z,u) \ a(y,w,v5)). [hyper(2984,a,3542,a),flip(a)]. 3544 a(x,y,L(z,a(x,u,w),v5)) = a(x,y,z). [hyper(34,a,3513,a,b,3542,a(flip))]. 3546 (x * a(y,z,u)) * a(y,w,v5) = x * (a(y,z,u) * a(y,w,v5)). [para(3544(a,1),3489(a,1,2))]. 3547 L(x,a(y,z,u),a(y,w,v5)) = x. [hyper(3332,a,3546,a),flip(a)]. 3548 a(x,y,z) \ (u * (a(x,w,v5) * a(x,y,z))) = u * a(x,w,v5). [hyper(97,a,3546,a(flip),b,2536,a)]. 3551 (a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)). [para(3547(a,1),3337(a,1,1,2))]. 3552 a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5). [hyper(97,a,115,a(flip),b,3551,a(flip))]. 3553 (a(x,y,z) \ u) * a(x,w,v5) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(59,a,3284,a(flip),b,3552,a),flip(a)]. 3554 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),z,L(y,u,w)). [para(3510(a,1),3483(a,2,2))]. 3555 R(x,y,z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(3388(a,1),3508(a,1,1))]. 3556 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(x,x * z,L(y,u,w)). [para(3482(a,1),3554(a,2,2))]. 3557 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(L(y,u,w),z \ x,x). [hyper(189,a,3240,a(flip),b,3556,a),flip(a)]. 3558 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,L(y,u,w),z \ x). [hyper(189,a,3091,a(flip),b,3557,a),flip(a)]. 3559 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,y,L(z \ x,u,w)). [hyper(189,a,3496,a(flip),b,3558,a),flip(a)]. 3560 a(x,y,L(z \ x,u,w)) = a(x,y,R(z,u,w) \ x). [para(1111(a,1),3559(a,1,3)),flip(a)]. 3561 a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)). [para(2914(a,1),3521(a,1,3)),flip(a)]. 3562 a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). [hyper(59,a,2879,a(flip),b,3446,a),flip(a)]. 3563 a(x,y,L(z \ x,u,w)) = a(x,y,L(z,u,w) \ x). [hyper(59,a,3560,a,b,3562,a)]. 3564 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,L(u \ z,w,v5) \ x). [hyper(59,a,2957,a(flip),b,3563,a)]. 3565 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,x * L(z \ u,w,v5)). [hyper(189,a,3269,a(flip),b,3564,a),flip(a)]. 3566 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = a(x,y,L(L(z,w,u),v5,u)) \ a(x,y,z). [para(3485(a,2),3492(a,2,1))]. 3567 (a(x,y * z,L(y,u,w)) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(3488(a,2),3245(a,1,1,1))]. 3568 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(a(x,z * y,z),w,u),a(x,y \ z,z)). [para(2529(a,1),3242(a,2,1,1))]. 3570 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(a(x,z * y,L(z,w,u)),a(x,y \ z,z)). [para(3485(a,2),3568(a,2,1))]. 3571 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,w,u)). [hyper(189,a,2534,a(flip),b,3570,a),flip(a)]. 3574 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,u,w)). [para(3091(a,1),3571(a,1,2,1))]. 3575 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ 1) = a(x,z * y,L(z,u,w)). [para(125(a,1),3574(a,1,2,2))]. 3577 a(x,y \ z,z) \ a(u,w \ 1,a(x,z * y,z)) = a(x,z * y,L(z,w,u)). [para(3097(a,2),3575(a,1,2))]. 3578 a(x,y \ z,z) \ a(u,w,a(x,z * y,z) \ 1) = a(x,z * y,L(z,w,u)). [para(3089(a,1),3577(a,1,2))]. 3579 a(x,y \ z,z) \ a(u,w,a(z,x \ 1,z * y)) = a(x,z * y,L(z,w,u)). [para(3097(a,2),3578(a,1,2,3))]. 3580 a(x,y \ z,z) \ a(u,w,a(z,x,(z * y) \ 1)) = a(x,z * y,L(z,w,u)). [para(3089(a,1),3579(a,1,2,3))]. 3581 a(x,y \ z,z) \ a(u,w,a(z,x,y \ (z \ 1))) = a(x,z * y,L(z,w,u)). [para(2333(a,1),3580(a,1,2,3))]. 3582 a(x,y \ z,z) \ a(u,w,a(z,x,y \ z)) = a(x,z * y,L(z,w,u)). [para(3229(a,1),3581(a,1,2,3))]. 3583 a(x,y \ z,z) \ a(u,w,a(x,y \ z,z)) = a(x,z * y,L(z,w,u)). [para(3091(a,2),3582(a,1,2,3))]. 3584 a(x,y \ z,z) \ a(u,a(x,y \ z,z),w) = a(x,z * y,L(z,u,w)). [para(3091(a,2),3583(a,1,2))]. 3585 a(x \ y,y,L(z,u,w) \ 1) = a(z,y * x,L(y,u,w)). [hyper(59,a,3527,a(flip),b,3584,a)]. 3586 a(x,y * z,L(y,u,w)) \ v5 = v5 * a(x,z \ y,L(y,u,w)). [para(3585(a,1),3540(a,1,1))]. 3587 a(x,y \ z,L(y,u,w)) = a(x,y * z,L(y,u,w)). [hyper(3156,a,3586,a)]. 3588 (x * a(y,z \ u,L(u,w,v5))) * ((x * a(y,z \ u,u)) \ 1) = a(w,v5,a(y,u * z,u) \ 1). [para(3586(a,1),3567(a,1,1))]. 3589 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(z \ u,u,y \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(2702(a,1),3588(a,1,2))]. 3590 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y \ 1,z \ u)) = a(w,v5,a(y,u * z,u) \ 1). [para(3091(a,2),3589(a,1,2,2))]. 3591 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,(z \ u) \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(3089(a,1),3590(a,1,2,2))]. 3592 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u \ z)) = a(w,v5,a(y,u * z,u) \ 1). [para(2278(a,1),3591(a,1,2,2))]. 3593 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u * z)) = a(w,v5,a(y,u * z,u) \ 1). [para(3248(a,1),3592(a,1,2,2))]. 3594 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [para(3091(a,2),3593(a,1,2,2))]. 3595 x * ((a(y,z \ u,L(u,w,v5)) \ x) \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [hyper(59,a,2993,a(flip),b,3594,a)]. 3596 x * ((x * a(y,z \ u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(3140(a,1),3595(a,1,2,1))]. 3597 x * ((x * a(y,z * u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(3587(a,1),3596(a,1,2,1,2))]. 3598 x * (x \ (a(y,z * u,L(z,w,v5)) \ a(y,z * u,z))) = a(w,v5,a(y,z * u,z) \ 1). [para(3543(a,1),3597(a,1,2))]. 3599 x * (x \ (y \ L(R(y,z * u,z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(3321(a,1),3598(a,1,2,2))]. 3600 x * (x \ (y \ L(L(y,z,u \ z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(3249(a,1),3599(a,1,2,2,2,1))]. 3601 x * (x \ (y \ L(L(y,z,u \ z),z,L(z * u,w,v5)))) = a(w,v5,a(y,z * u,z) \ 1). [para(3509(a,1),3600(a,1,2,2,2))]. 3602 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y * z,y) \ 1). [hyper(164,a,3601,a)]. 3603 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x \ 1,y * z)). [para(3097(a,2),3602(a,2,3))]. 3604 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,(y * z) \ 1)). [para(3089(a,1),3603(a,2,3))]. 3605 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,y * (z \ 1))). [para(3355(a,1),3604(a,2,3))]. 3606 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,z \ y)). [para(2237(a,1),3605(a,2,3))]. 3607 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,z \ y,y)). [para(3091(a,2),3606(a,2,3))]. 3608 (a(x,y,z) \ a(x,u,w)) * ((((a(x,u,w) \ a(x,y,z)) * v5) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(2595(a,1),3541(a,1,1))]. 3609 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,x \ 1) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(1000(a,1),3363(a,2,1,1,1))]. 3610 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(3221(a,1),3609(a,2,1,1,1))]. 3611 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) / y). [hyper(189,a,1669,a(flip),b,3610,a),flip(a)]. 3612 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),x \ (y \ 1)). [hyper(189,a,1244,a(flip),b,3611,a),flip(a)]. 3613 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = L(z,y,x) * u. [hyper(189,a,583,a(flip),b,3612,a),flip(a)]. 3615 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (1 / x),u))) * u) = L(z,y,x) * u. [para(2002(a,1),3613(a,1,2,1,2,2))]. 3616 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (x \ 1),u))) * u) = L(z,y,x) * u. [para(1981(a,1),3615(a,1,2,1,2,2))]. 3617 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [para(3215(a,1),3616(a,1,2,1,2,2))]. 3618 ((x \ 1) * (1 / y)) \ (((x \ 1) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [hyper(59,a,2024,a(flip),b,3617,a)]. 3619 ((1 / x) \ (((1 / x) * R(y,z,u * x)) * (z * u))) / u = L(y,x,u) * z. [hyper(59,a,1082,a(flip),b,3618,a)]. 3620 ((R(x,y,z * u) * ((y * z) * u)) / u) / z = L(x,u,z) * y. [para(371(a,1),3619(a,1,1))]. 3621 (((x * R(y,z,u)) * (z * u)) / u) / z = L(x,u,z) * y. [para(3555(a,1),3620(a,1,1,1))]. 3622 L(x * R(y,z,u),u,z) = L(x,u,z) * y. [hyper(59,a,3334,a,b,3621,a)]. 3623 R(L(x,y,z) * u,z,y) = x * R(u,z,y). [hyper(3326,a,3622,a)]. 3625 a(x,L(y,z,u),w * R(v5,u,z)) = a(x,y,L(w,z,u) * v5). [para(3622(a,1),3496(a,2,3))]. 3626 R(L(x,y,z) * (x \ u),z,y) / u = a(z,y,x \ u). [hyper(98,a,3623,a,b,3194,a)]. 3627 R(a(x,y,z) \ u,y,z) / u = a(y,z,x \ u). [para(3107(a,1),3626(a,1,1,1))]. 3628 R(a(x,y,z) \ u,y,z) / u = a(z,x \ u,y). [hyper(189,a,3091,a,b,3627,a),flip(a)]. 3629 a(x,L(y,z,u),w * L(v5,u,z)) = a(x,y,L(w,z,u) * v5). [hyper(59,a,3561,a(flip),b,3625,a)]. 3630 a(x,y,L(z * L(u,w,v5),v5,w)) = a(x,y,L(z,v5,w) * u). [hyper(3512,a,3629,a)]. 3642 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(342(a,1),2100(a,1,2,1))]. 3643 K(x,T(y,y \ z) * u) = K(x,T(y,z) * u). [para(5(a,1),3642(a,1,2,1,2)),flip(a)]. 3644 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(89(a,1),3643(a,1,2,1))]. 3645 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [para(745(a,1),3644(a,1,2,1)),flip(a)]. 3646 K(x,(y * ((z \ y) / y)) * u) = K(x,(y / z) * u). [hyper(59,a,2432,a,b,3645,a)]. 3647 K(x,(y * ((z \ y) / y)) / u) = K(x,(y / z) * (u \ 1)). [hyper(1785,a,3646,a)]. 3648 K(x,(y * ((z \ y) / y)) / u) = K(x,(y / z) / u). [hyper(189,a,1102,a(flip),b,3647,a),flip(a)]. 3649 K(x,T(y \ z,z) / u) = K(x,(z / y) / u). [hyper(59,a,2419,a(flip),b,3648,a)]. 3650 K(x,(y / (y / z)) / u) = K(x,T(z,y) / u). [para(73(a,1),3649(a,1,2,1,1)),flip(a)]. 3651 K(x,((y \ z) \ z) / u) = K(x,T(y,z) / u). [para(746(a,1),3650(a,1,2,1))]. 3652 K(x,T(((y / z) \ 1) * y,y) / u) = K(x,(((z \ y) \ 1) * y) / u). [para(2124(a,1),3651(a,1,2,1)),flip(a)]. 3653 K(x,(((y \ z) \ 1) * z) / u) = K(x,(z * ((z / y) \ 1)) / u). [hyper(59,a,2422,a(flip),b,3652,a),flip(a)]. 3654 a(x,y,K(z,u)) * K(w,(v5 * ((v5 / v6) \ 1)) / ((v7 \ 1) * v5)) = K(w,((v6 \ v5) \ 1) * v7). [para(3653(a,1),2449(a,1,2))]. 3655 a(x,y,K(z,u)) * K(w,(v5 * ((v5 / v6) \ 1)) / ((v7 \ 1) * v5)) = K(w,(v6 \ v5) \ v7). [hyper(189,a,1686,a(flip),b,3654,a),flip(a)]. 3656 a(x,y,K(z,u)) * K(w,(v5 / (v5 / v6)) / ((v7 \ 1) * v5)) = K(w,(v6 \ v5) \ v7). [para(2506(a,1),3655(a,1,2))]. 3657 a(x,y,K(z,u)) * K(w,T(v5,v6) / ((v7 \ 1) * v6)) = K(w,(v5 \ v6) \ v7). [para(3650(a,1),3656(a,1,2))]. 3658 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(59,a,2451,a(flip),b,3657,a),flip(a)]. 3659 K(x,(y \ z) * (z \ u)) = K(x,y \ u). [hyper(59,a,1791,a(flip),b,3658,a),flip(a)]. 3660 K(x,y \ (z * u)) = K(x,(y \ z) * u). [hyper(59,a,1741,a(flip),b,3658,a)]. 3661 K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). [hyper(59,a,3514,a(flip),b,3659,a)]. 3662 K(x,y \ (a(z,u,w) * v5)) = K(x,y \ v5). [hyper(59,a,3660,a,b,3661,a)]. 3663 K(a(x,y,z) \ u,w \ (a(v5,v6,v7) * v8)) = K(u,w \ v8). [hyper(189,a,2847,a(flip),b,3662,a),flip(a)]. 3665 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = w * K(u,u \ w). [para(3663(a,1),1795(a,1,2)),flip(a)]. 3666 (a(x,y,z) \ u) \ (u * (w / u)) = w / (a(x,y,z) \ u). [hyper(97,a,616,a(flip),b,3665,a)]. 3667 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) != v5 | u * (w / u) = v5. [para(3666(a,1),164(a,1,2))]. 3668 (x * a(y,z,u)) * (w / x) = x * (w / (a(y,z,u) \ x)). [para(3666(a,1),2995(a,1,2)),flip(a)]. 3669 (x \ y) * (a(z,u,w) * x) = x * (y / (a(z,u,w) \ x)). [hyper(59,a,2863,a,b,3668,a)]. 3670 x \ (y * ((y * (x / (a(z,u,w) \ y))) / y)) = L(a(z,u,w),x,y * y). [para(3669(a,1),3162(a,1,2,2,1))]. 3671 a(x,y,z) \ (a(x,y,z) * (u / (a(x,w,v5) \ a(x,y,z)))) = (a(x,y,z) \ u) * a(x,w,v5). [para(3669(a,1),3548(a,1,2))]. 3672 (x \ a(y,z,u)) * (w * (a(y,z,u) \ x)) != v5 | x * (w / x) = v5. [para(2605(a,1),3667(a,1))]. 3673 x \ (y * T(x / (a(z,u,w) \ y),y)) = L(a(z,u,w),x,y * y). [para(582(a,2),3670(a,1,2,2))]. 3674 x \ (y * ((a(z,u,w) \ y) \ x)) = L(a(z,u,w),x,y * y). [para(2827(a,1),3673(a,1,2,2))]. 3675 L(a(x,y,z),u,w * w) = L(a(x,y,z),w,u). [hyper(59,a,3203,a(flip),b,3674,a),flip(a)]. 3676 L(a(x,y,z),u,w * L(z,y,x)) = a(x,y,L(z,w,u * u)). [hyper(59,a,2972,a(flip),b,3675,a),flip(a)]. 3677 a(x,y,L(z,u,w * w)) = a(x,y,R(z,w,u)). [hyper(59,a,3280,a(flip),b,3676,a),flip(a)]. 3678 a(x,y,L(z,u,w * w)) = a(x,y,L(z,w,u)). [hyper(189,a,3465,a(flip),b,3677,a),flip(a)]. 3679 L(a(x,y,L(z,u,w)),u * u,w) = a(x,y,z). [para(3678(a,1),3490(a,1,1))]. 3680 L(a(x,y,x * L(z \ u,w,v5)),w * w,v5) = a(x,y,x * (z \ u)). [para(3565(a,1),3679(a,1,1))]. 3681 a(x,y,L(x * L(z \ u,w,v5),w * w,v5)) = a(x,y,x * (z \ u)). [hyper(3494,a,3680,a)]. 3682 a(x,y,L(x * L(z \ u,w,v5),v5,w)) = a(x,y,x * (z \ u)). [hyper(59,a,3467,a(flip),b,3681,a)]. 3683 a(x,y,L(x,z,u) * (w \ v5)) = a(x,y,x * (w \ v5)). [hyper(59,a,3630,a(flip),b,3682,a)]. 3684 a(x,y,x * (z \ L(x,u,w))) = a(y,z,x \ 1). [hyper(59,a,3441,a(flip),b,3683,a),flip(a)]. 3685 a(x,y \ a(z,u,w),z) = a(x,y,z \ 1). [hyper(3448,a,3684,a)]. 3688 (x \ y) \ (R(x,z,u \ a(x \ 1,w,v5)) \ y) = a(z,u,(x \ 1) \ 1). [hyper(59,a,3189,a,b,3685,a)]. 3689 (x \ y) \ (R(x,z,u \ a(w,v5,x \ 1)) \ y) = a(z,u,(x \ 1) \ 1). [para(2669(a,1),3688(a,1,2,1,3,2))]. 3690 (x \ y) \ (L(x,a(z,u,x \ 1) \ w,v5) \ y) = a(v5,w,(x \ 1) \ 1). [para(3257(a,1),3689(a,1,2,1))]. 3691 (x \ y) \ (L(x,z * a(x,u,w),v5) \ y) = a(v5,z,(x \ 1) \ 1). [para(2679(a,1),3690(a,1,2,1,2))]. 3692 a(x,y,z * a(x,u,w)) = a(y,z,(x \ 1) \ 1). [hyper(3129,a,3691,a)]. 3693 a(x,y,z * a(x,u,w)) = a(y,z,x). [hyper(189,a,2264,a(flip),b,3692,a),flip(a)]. 3695 a(x,y,z * a(x,u,w)) = a(x,y,z). [hyper(189,a,3091,a(flip),b,3693,a),flip(a)]. 3696 a(x,y,z) \ (a(x,y,z) * ((a(x,y,z) \ a(x,u,w)) * v5)) = (a(x,y,z) \ v5) * a(x,u,w). [para(2877(a,1),3671(a,1,2,2))]. 3697 (a(x,y,z) \ a(x,u,w)) * v5 = (a(x,y,z) \ v5) * a(x,u,w). [hyper(198,a,3696,a)]. 3698 (a(x,y,z) \ a(x,u,w)) * v5 = L(x,z,y) * (L(x,w,u) \ v5). [hyper(189,a,3553,a(flip),b,3697,a),flip(a)]. 3700 (a(x,y,z) \ a(x,u,w)) * (((L(x,w,u) * (L(x,z,y) \ v5)) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(3698(a,1),3608(a,1,2,1,1))]. 3701 (a(x,y,z) \ a(x,u,w)) * ((L(x,w,u) * (L(x,z,y) \ v5)) * (a(x,u,w) \ a(x,y,z))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(3536(a,1),3700(a,1,2))]. 3702 a(x,y,z) * ((L(x,u,w) * (L(x,z,y) \ v5)) / a(x,y,z)) = v5 * (a(x,w,u) \ a(x,y,z)). [hyper(3672,a,3701,a)]. 3703 a(x,y,z) * (a(x,y,z) \ (L(x,u,w) * (L(x,z,y) \ v5))) = v5 * (a(x,w,u) \ a(x,y,z)). [para(2535(a,1),3702(a,1,2))]. 3704 a(x,y,z) * (L(x,z,y) * (a(x,u,w) \ (L(x,z,y) \ v5))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(3145(a,1),3703(a,1,2))]. 3705 a(x,y,z) * (a(x,u,w) \ v5) = v5 * (a(x,u,w) \ a(x,y,z)). [para(3535(a,1),3704(a,1,2))]. 3706 x * (a(y,z,u) \ a(y,w,a(y,z,u) \ x)) = R(a(y,z,u) \ x,y,w). [hyper(3118,a,3705,a),flip(a)]. 3708 x * (a(y,z,u) \ a(y,w,x * a(y,u,z))) = R(a(y,z,u) \ x,y,w). [para(3455(a,1),3706(a,1,2,2))]. 3709 x * (a(y,z,u) \ a(y,w,x)) = R(a(y,z,u) \ x,y,w). [para(3695(a,1),3708(a,1,2,2))]. 3710 x * (a(y,z,u) \ a(x,y,w)) = R(a(y,z,u) \ x,y,w). [para(3091(a,1),3709(a,1,2,2))]. 3712 R(a(x,y,z) \ u,x,w) = a(x,y,z) \ R(u,x,w). [hyper(3271,a,3710,a),flip(a)]. 3713 R(a(x,y,z) \ u,y,w) = a(y,z,x) \ R(u,y,w). [para(3091(a,1),3712(a,1,1,1))]. 3714 R(a(x,y,z) \ u,y,w) = a(x,y,z) \ R(u,y,w). [hyper(189,a,3102,a(flip),b,3713,a),flip(a)]. 3715 (a(x,y,z) \ R(u,y,z)) / u = a(z,x \ u,y). [para(3714(a,1),3628(a,1,1))]. 3716 (x * a(y,z,u)) \ R(x,z,u) = a(u,y \ x,z). [hyper(59,a,3308,a(flip),b,3715,a)]. 3717 a(x,y,z) \ a(u,y,z) = a(z,x \ u,y). [hyper(59,a,3288,a(flip),b,3716,a)]. 3718 a(x,y,z) \ a(y,z,u) = a(z,x \ u,y). [para(3091(a,2),3717(a,1,2))]. 3719 x \ L(R(x,y,z),u,y) = a(y,u \ z,x). [hyper(59,a,3320,a(flip),b,3718,a)]. 3720 L(R(x,y,z),z,u) = x * a(x,u \ y,z). [para(3719(a,1),3526(a,1,2)),flip(a)]. 3722 L(R(x,y,z),z,u) = L(x,z,y \ u). [hyper(189,a,3100,a(flip),b,3720,a),flip(a)]. 3723 L(R(x,y,z),z,u) != w | L(x,z,y \ u) = w. [para(3720(a,2),3150(a,1))]. 3724 L(R(x,1 / y,z),z,u) = L(x,z,T(u * y,w)). [hyper(189,a,1023,a,b,3722,a),flip(a)]. 3725 L(R(x,T(y * z,z),u),u,((1 / z) \ y) * w) = L(x,u,w). [para(862(a,1),3722(a,2,3))]. 3726 L(L(x,y,1 \ z),y,u) = L(x,y,T(u * z,w)). [para(3085(a,1),3724(a,1,1))]. 3727 L(L(x,y,z),y,u) = L(x,y,T(u * z,w)). [para(61(a,1),3726(a,1,1,3))]. 3728 L(L(x,y,z),y,u) = L(x,y,u * z). [hyper(189,a,995,a(flip),b,3727,a),flip(a)]. 3729 L(L(x,y,z),y,u) != w | L(x,y,u * z) = w. [para(3727(a,2),1031(a,1))]. 3731 L(R(L(x,y,z),u,y),y,w) = L(x,y,(u \ w) * z). [hyper(59,a,3722,a,b,3728,a)]. 3732 L(L(x,y,z),y,u) != w | L(x,y,z * u) = w. [para(3728(a,2),1033(a,1))]. 3733 a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,w,u)). [para(3728(a,2),3678(a,1,3))]. 3734 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(x,y,L(z,u,w)) \ a(x,y,z). [para(3733(a,1),3566(a,2,1))]. 3735 L(L(R(x,y,z),z,u),z,w) = L(x,z,(y \ w) * u). [para(24(a,1),3731(a,1,1))]. 3736 L(L(x,y,z \ u),y,w) = L(x,y,(z \ w) * u). [para(3722(a,1),3735(a,1,1))]. 3737 L(x,y,(z \ u) * w) = L(x,y,u * (z \ w)). [hyper(3729,a,3736,a),flip(a)]. 3740 L(R(x,y * z,u),u,((1 / z) \ y) * w) = L(x,u,w). [para(3060(a,1),3725(a,1,1))]. 3741 L(R(x,y * z,u),u,y * ((1 / z) \ w)) = L(x,u,w). [hyper(59,a,3737,a(flip),b,3740,a)]. 3743 L(R(x,y * z,u),u,y * (w * z)) = L(x,u,w). [hyper(1064,a,3741,a)]. 3744 L(x,y,(z * u) \ (z * (w * u))) = L(x,y,w). [hyper(3723,a,3743,a)]. 3745 L(x,y,L(T(z,u),u,w)) = L(x,y,z). [para(151(a,1),3744(a,1,3))]. 3746 L(x,y,L(z,u,w)) = L(x,y,z). [hyper(1038,a,3745,a)]. 3748 L(L(x,y,z),y,u) = L(x,y,z * L(u,w,v5)). [hyper(3732,a,3746,a),flip(a)]. 3753 L(x,y,z * L(u,w,v5)) = L(x,y,u * z). [hyper(3729,a,3748,a),flip(a)]. 3754 L(x,y,L(z * u,w,v5)) = L(x,y,u * L(z,v6,v7)). [hyper(189,a,3746,a,b,3753,a)]. 3755 L(x,y,L(z * u,w,v5)) = L(x,y,z * L(u,v6,v7)). [hyper(59,a,2979,a,b,3754,a)]. 3757 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(u,a(x,y,z),w). [hyper(189,a,3529,a(flip),b,3734,a),flip(a)]. 3758 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(w,u,a(x,y,z)). [hyper(189,a,3091,a(flip),b,3757,a),flip(a)]. 3759 1 * (a(x,a(y,z,u),w) * a(a(y,z,u),w,x)) = a(x,w,a(y,z,u)). [para(3091(a,1),3758(a,1,2,1))]. 3760 1 * (a(x,a(y,z,u),w) * a(x,a(y,z,u),w)) = a(x,w,a(y,z,u)). [para(3091(a,1),3759(a,1,2,2))]. 3761 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,z,u)). [hyper(100,a,3760,a)]. 3762 a(x,a(y,z,u),w) * a(x,a(y,u \ z,z),w) = a(x,w,a(y,u \ z,z)). [para(3428(a,1),3761(a,1,1))]. 3763 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,u \ z,z)). [para(3428(a,1),3762(a,1,2))]. 3764 a(x,y,a(z,u \ w,w)) = a(x,y,a(z,w,u)). [hyper(59,a,3761,a(flip),b,3763,a),flip(a)]. 3765 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y,z)). [hyper(59,a,3607,a,b,3764,a)]. 3766 a(x,y,a(z,u,w)) = z \ L(L(z,u,w \ u),u,u * L(w,v5,v6)). [para(3755(a,1),3765(a,1,2)),flip(a)]. 3767 a(x,y,a(z,u,w)) = a(v5,v6,a(z,u,w)). [hyper(189,a,3766,a,b,3766,a)]. 3787 a(x,y,a(z,u,w)) = 1. [hyper(189,a,2519,a(flip),b,3767,a),flip(a)]. 3797 a(a(x,y,z),u,w) = 1. [hyper(3122,a,3787,a)]. 3798 $F. [resolve(3797,a,60,a)]. ============================== end of proof ==========================