============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 9688 was started by veroff on theorem, Thu Jan 16 10:29:02 2020 The command was "prover9 -f aa_instances_4.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 3050.63 (+ 84.48) seconds: "aa1{x1/x3}". % Length of proof is 5435. % Level of proof is 362. % Maximum clause weight is 513.000 (53 w/o degradation). % Given clauses 11397 (31.483 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(a(x,y,x),z,u) = 1 # label("aa1{x1/x3}") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 a(a(c1,c2,c1),c3,c4) != 1 # label("aa1{x1/x3}") # answer("aa1{x1/x3}"). [deny(10)]. 54 1 \ x = x. [para(14(a,1),16(a,1,2))]. 55 x \ x = 1. [para(15(a,1),16(a,1,2))]. 56 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 57 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 58 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 59 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 60 x / x = 1. [para(14(a,1),18(a,1,1))]. 61 x / 1 = x. [para(15(a,1),18(a,1,1))]. 62 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 63 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 64 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 65 x * ((1 / y) * y) = x. [para(19(a,2),15(a,1,2))]. 66 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 67 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 68 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 71 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 72 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 73 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 76 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 78 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 79 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 80 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 81 ((x * y) / z) * z != x * u | u = y. [para(19(a,2),22(a,2)),flip(a)]. 82 1 * (x * y) != z * y | z = x. [para(14(a,2),23(a,2)),flip(a)]. 83 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 84 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 85 x \ (x * (y * z)) != u * z | u = y. [para(16(a,2),23(a,2)),flip(a)]. 86 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 87 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 88 ((x * y) / z) * z != u * y | u = x. [para(19(a,2),23(a,2)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * y) \ ((x * 1) * y) = a(x,1,y). [para(14(a,1),27(a,2,1,2)),flip(a)]. 93 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(15(a,1),27(a,2,1,2)),flip(a)]. 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 96 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 98 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 99 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 100 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 101 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 102 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(19(a,1),31(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 109 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 110 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 112 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 113 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 114 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 115 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 117 T(x,x) = x. [para(35(a,2),16(a,1))]. 118 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 119 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 120 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 122 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 124 (x * (x \ 1)) \ y = y. [para(17(a,2),54(a,1,1))]. 125 ((1 / x) * x) \ y = y. [para(19(a,2),54(a,1,1))]. 126 T(x,1) = x * 1. [para(54(a,1),35(a,2))]. 128 x / (y * (y \ 1)) = x. [para(17(a,2),61(a,1,2))]. 129 x / ((1 / y) * y) = x. [para(19(a,2),61(a,1,2))]. 130 T(T(x,y),x) = T(x,y). [para(117(a,1),41(a,1,1)),flip(a)]. 131 T(L(x,y,z),x) = L(x,y,z). [para(117(a,1),43(a,1,1)),flip(a)]. 134 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),63(a,1,2))]. 135 (x * y) / T(x,y) = y. [para(35(a,2),63(a,1,2))]. 136 x / (y / ((z \ x) \ y)) = z. [para(63(a,2),63(a,1,2))]. 137 ((x / y) \ x) * z = y * z. [hyper(25,a,66,a)]. 138 x * ((y / (x \ z)) \ y) = z. [para(66(a,2),17(a,1,2))]. 139 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),66(a,1,1))]. 140 ((x / (y / z)) \ x) \ y = z. [para(66(a,2),66(a,1,1))]. 141 T(x,1) = x. [hyper(21,a,15,a,b,126,a(flip)),flip(a)]. 142 K(x,1) = 1. [hyper(39,a,141,a)]. 143 T(1,x) = 1. [hyper(38,a,141,a)]. 146 T(x,1) != y | y = x. [para(126(a,2),83(a,1))]. 147 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),84(a,1,2))]. 148 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(57(a,1),33(a,2,1))]. 149 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(58(a,1),27(a,2,1)),flip(a)]. 150 L(x \ 1,x,y) = (y * x) \ y. [para(58(a,1),31(a,2,2))]. 151 R(1 / x,x,y) = y / (x * y). [para(64(a,1),33(a,2,1))]. 152 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(65(a,1),27(a,2,1)),flip(a)]. 153 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(65(a,1),31(a,2,2))]. 154 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,118,a)]. 155 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,118,a(flip)),flip(a)]. 156 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,118,a(flip)),flip(a)]. 157 (x \ y) * T(x,x \ y) = y. [para(118(a,2),17(a,1))]. 158 x * (y * (y \ T(z,x))) = z * x. [para(17(a,2),118(a,1,2))]. 159 x * T(y / x,x) = y. [para(118(a,2),19(a,1))]. 160 x * y != z | y * u != z | T(x,y) = u. [para(118(a,1),20(a,1)),flip(c)]. 161 x * y != z * x | T(z,x) = y. [para(118(a,1),22(a,1)),flip(a)]. 162 x * T(y,x) != z * x | z = y. [para(118(a,2),23(a,2)),flip(a)]. 164 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(118(a,1),27(a,2,2,1)),flip(a)]. 165 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(118(a,1),29(a,2,1)),flip(a)]. 166 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(118(a,1),31(a,2,1)),flip(a)]. 167 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(118(a,1),31(a,2,2,2)),flip(a)]. 169 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(118(a,1),33(a,2,1)),flip(a)]. 170 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(118(a,1),33(a,2,2)),flip(a)]. 171 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),118(a,1,2))]. 172 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),118(a,1,2))]. 173 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),118(a,1,2))]. 174 x / 1 = 1 \ x. [hyper(146,a,120,a),flip(a)]. 175 T(T(x / y,z),y) = T(y \ x,z). [para(120(a,1),41(a,1,1)),flip(a)]. 176 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(120(a,1),43(a,1,1)),flip(a)]. 177 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(120(a,1),45(a,1,1)),flip(a)]. 178 T(x / (x / y),x / y) = y. [para(120(a,2),66(a,1))]. 179 K(x \ 1,x) = (x \ 1) * x. [para(124(a,1),29(a,2))]. 180 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(124(a,1),31(a,2)),flip(a)]. 182 K(x,1 / x) = x * (1 / x). [para(125(a,1),29(a,2))]. 183 (1 / x) * (x * y) = L(y,x,1 / x). [para(125(a,1),31(a,2)),flip(a)]. 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(128(a,1),33(a,2)),flip(a)]. 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(129(a,1),33(a,2)),flip(a)]. 186 T(x,T(x,y)) = x. [hyper(38,a,130,a)]. 187 T(T(T(x,y),z),x) = T(T(x,y),z). [para(130(a,1),41(a,1,1)),flip(a)]. 188 T(x,y) * x = x * T(x,y). [para(130(a,1),118(a,1,2)),flip(a)]. 189 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),41(a,1,1)),flip(a)]. 191 x / T(y,y \ x) = y \ x. [para(17(a,1),135(a,1,1))]. 192 (T(x,y) * z) / T(T(x,z),y) = z. [para(41(a,1),135(a,1,2))]. 193 (x * y) / T(y,T(x,y)) = T(x,y). [para(118(a,1),135(a,1,1))]. 194 T(T((x * y) / x,z),x) = T(y,z). [para(154(a,1),41(a,1,1)),flip(a)]. 195 T((x * y) / x,y) = (x * y) / x. [para(154(a,1),186(a,1,2))]. 196 x * y != z | T(z / x,x) = y. [para(159(a,1),22(a,1)),flip(a)]. 198 x != y | y / 1 = x. [para(15(a,1),87(a,1))]. 199 (x / y) \ x = y / 1. [hyper(198,a,66,a),flip(a)]. 200 x * (x \ y) = y / 1. [hyper(198,a,17,a),flip(a)]. 201 x / 1 = 1 * x. [hyper(198,a,14,a)]. 202 x / 1 != y | y = x. [para(201(a,2),73(a,1))]. 204 x / (y * (y \ 1)) != z | z = x. [para(17(a,2),202(a,1,2))]. 205 1 \ x != y | y = x. [para(174(a,1),202(a,1))]. 207 (x / y) \ x != z | z = y. [para(199(a,2),202(a,1))]. 208 x * (x \ y) != z | z = y. [para(200(a,2),202(a,1))]. 209 x \ (x * y) != z | z = y. [para(18(a,1),207(a,1,1))]. 210 x \ x != y | 1 = y. [para(61(a,1),207(a,1,1)),flip(b)]. 211 x \ (y * x) != z | T(y,x) = z. [para(135(a,1),207(a,1,1)),flip(b)]. 212 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),208(a,1,2)),flip(b)]. 213 x * T(y,x) != z | y * x = z. [para(35(a,2),208(a,1,2)),flip(b)]. 214 (x / y) * y != z | z = x. [para(66(a,1),208(a,1,2))]. 216 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),214(a,1,1)),flip(b)]. 217 L(x \ (y \ z),x,y) = (y * x) \ z. [para(59(a,1),31(a,2,2))]. 218 ((x / y) * y) / z = x / z. [para(19(a,1),68(a,1,1,1,1))]. 219 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),33(a,2,1))]. 220 x != y | z != y | z = x. [para(14(a,1),70(b,1))]. 221 (x * y) / y = z / (x \ z). [hyper(220,a,63,a,b,18,a)]. 223 (x * y) / y = (x / z) * z. [hyper(220,a,19,a,b,18,a)]. 224 x * (x \ y) = y * 1. [hyper(220,a,17,a,b,15,a),flip(a)]. 225 x \ (y * (y \ x)) = 1. [hyper(78,a,224,a(flip))]. 226 x * 1 != y * z | y \ x = z. [para(224(a,1),22(a,1))]. 229 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(220,a,17,a,b,89,a),flip(a)]. 230 (x / (y * (y \ z))) * z = x. [hyper(214,a,89,a)]. 232 (x * (x \ y)) * z != y * u | u = z. [para(91(a,1),22(a,1)),flip(a)]. 233 ((x \ y) * x) * K(x,x \ y) = y. [hyper(220,a,17,a(flip),b,98,a)]. 234 x * K(y \ x,y) = (y \ x) * y. [hyper(220,a,91,a(flip),b,98,a(flip)),flip(a)]. 235 x * K(y,x / y) = y * (x / y). [hyper(220,a,90,a(flip),b,98,a(flip)),flip(a)]. 236 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),22(a,1)),flip(a)]. 237 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),31(a,2,2,2)),flip(a)]. 238 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),33(a,2,1)),flip(a)]. 239 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),209(a,1,2)),flip(b)]. 240 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,119,a)]. 241 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,119,a)]. 242 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(220,a,17,a,b,119,a(flip))]. 243 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(119(a,1),41(a,1,1)),flip(a)]. 246 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(119(a,2),119(a,1,2))]. 248 T(x,L(x,y,z)) = x. [hyper(38,a,131,a)]. 250 ((x / y) \ x) * (y \ z) = z. [hyper(220,a,17,a(flip),b,137,a)]. 251 x * (((y / x) \ y) \ z) = z. [hyper(208,a,137,a)]. 252 (x / y) * ((z / y) \ z) = x. [para(66(a,1),138(a,1,2,1,2))]. 253 (x \ y) * z != y | T(x,x \ y) = z. [para(157(a,1),22(a,1)),flip(a)]. 254 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(157(a,1),31(a,2,2,2))]. 255 (x \ y) \ y != z | T(x,x \ y) = z. [para(157(a,1),209(a,1,2)),flip(b)]. 256 T(x / (x / y),(z / (x / y)) \ z) = y. [para(66(a,2),178(a,1,2))]. 257 x * T(x \ 1,x) = K(x \ 1,x). [hyper(220,a,118,a,b,179,a),flip(a)]. 258 K(x \ 1,x) / x = x \ 1. [hyper(87,a,179,a(flip))]. 259 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,179,a(flip))]. 263 x \ K(x,1 / x) = 1 / x. [hyper(78,a,182,a(flip))]. 264 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(182(a,2),31(a,2,1)),flip(a)]. 266 x / (y \ ((x / z) * z)) = y. [hyper(220,a,63,a(flip),b,218,a(flip))]. 267 (((x / y) * y) / z) \ x = z. [para(218(a,2),66(a,1,1))]. 269 (x / (y \ x)) * z != u | y * z = u. [para(221(a,1),214(a,1,1)),flip(b)]. 270 (x * y) / y != z * u | x / u = z. [para(223(a,2),23(a,1))]. 271 ((x / y) * y) * z != u | x * z = u. [para(223(a,1),214(a,1,1)),flip(b)]. 272 (x * y) / y != z | z = x. [para(223(a,2),214(a,1))]. 273 x / x != y | 1 = y. [para(14(a,1),272(a,1,1)),flip(b)]. 274 x / (y \ x) != z | z = y. [para(17(a,1),272(a,1,1))]. 275 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),230(a,1,1))]. 276 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(191(a,1),250(a,1,1,1))]. 277 x * ((y / z) \ y) != u | u / z = x. [para(252(a,1),23(a,1)),flip(a)]. 279 (x \ 1) * x != y | K(x \ 1,x) = y. [para(258(a,1),214(a,1,1)),flip(b)]. 281 ((x * (x \ y)) / z) \ y = z. [para(63(a,1),267(a,1,1,1,1))]. 282 x * y != x * z | z = y. [para(15(a,1),76(a,1))]. 283 1 * x != y * z | x / z = y. [para(19(a,1),82(a,1,2)),flip(b)]. 284 R(1,x,y) = 1. [hyper(273,a,109,a),flip(a)]. 287 (x * y) / y = R(x,1,y). [para(15(a,1),110(a,1,1,1))]. 288 R(x,1,y) = x. [hyper(272,a,287,a)]. 294 L(x \ 1,x,1 / x) = 1 / x. [hyper(220,a,125,a(flip),b,150,a)]. 295 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(25,a,150,a)]. 296 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(24,a,150,a)]. 297 (x * y) * L(y \ 1,y,x) = x. [para(150(a,2),17(a,1,2))]. 298 L((x \ y) \ 1,x \ y,x) = y \ x. [para(17(a,1),150(a,2,1))]. 299 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),150(a,2,1))]. 300 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(150(a,1),43(a,2,1)),flip(a)]. 301 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(150(a,1),48(a,1,1)),flip(a)]. 302 x / L(y \ 1,y,x) = x * y. [para(150(a,2),63(a,1,2))]. 303 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),151(a,2,2))]. 304 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),151(a,2,2))]. 305 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(151(a,1),45(a,2,1)),flip(a)]. 306 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(151(a,1),49(a,1,1)),flip(a)]. 307 R(1 / x,x,y) \ y = x * y. [para(151(a,2),66(a,1,1))]. 312 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(41(a,1),162(a,1,2)),flip(b)]. 314 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),213(a,1,2))]. 315 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),213(a,1,2))]. 316 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),213(a,1,2))]. 317 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),226(a,1,2))]. 318 x * (x \ y) != z * u | z \ y = u. [para(224(a,2),226(a,1))]. 320 ((1 / x) * x) * y != z * u | y / u = z. [para(19(a,2),283(a,1,1))]. 321 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(297(a,1),31(a,2,2,2))]. 322 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(297(a,1),209(a,1,2)),flip(b)]. 323 x / L(y,1 / y,x) = x * (1 / y). [para(66(a,1),302(a,1,2,1))]. 325 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(302(a,1),251(a,1,2,1,1))]. 326 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(63(a,1),307(a,1,1,1))]. 327 x / (y * x) != z | R(1 / y,y,x) = z. [para(307(a,1),274(a,1,2)),flip(b)]. 328 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,119,a,b,17,a)]. 330 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,31,a,b,125,a(flip))]. 331 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,31,a,b,124,a(flip))]. 333 (x * (x \ y)) \ z = y \ z. [hyper(71,a,17,a(flip),b,91,a)]. 334 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,33,a,b,128,a(flip))]. 335 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(16(a,1),99(a,2,1)),flip(a)]. 337 x * K(y \ x,y) != z | (y \ x) * y = z. [para(99(a,1),208(a,1,2)),flip(b)]. 339 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(179(a,2),100(a,1,1))]. 340 K(x,1 / x) != y | x * (1 / x) = y. [para(101(a,1),205(a,1)),flip(b)]. 341 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(158(a,1),31(a,2,2))]. 342 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),171(a,1,2,1))]. 344 T(x / y,z) * y = y * T(y \ x,z). [para(120(a,1),171(a,1,2,1)),flip(a)]. 345 T((x * y) / x,z) * x = x * T(y,z). [para(154(a,1),171(a,1,2,1)),flip(a)]. 346 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(119(a,1),171(a,1,2,1))]. 347 T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z). [para(119(a,1),171(a,1,2)),flip(a)]. 349 (x * T(x \ y,z)) / x = T(y / x,z). [para(175(a,1),155(a,1,1,2))]. 351 T(x,T(T(x,y),z)) = x. [hyper(38,a,187,a)]. 353 T((x * y) / x,T(y,z)) = (x * y) / x. [para(154(a,1),351(a,1,2,1))]. 354 (x * T(y,z)) / x = T((x * y) / x,z). [para(194(a,1),155(a,1,1,2))]. 356 T(x,(y * x) / y) = x. [hyper(38,a,195,a)]. 357 K(x \ 1,x) * K(x,x \ 1) = 1. [para(179(a,2),233(a,1,1))]. 358 (x \ y) * x != y * z | K(x \ y,x) = z. [para(234(a,1),22(a,1))]. 359 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(234(a,1),209(a,1,2)),flip(b)]. 361 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(235(a,1),209(a,1,2)),flip(b)]. 364 1 / K(x,x \ 1) = K(x \ 1,x). [para(339(a,1),63(a,1,2))]. 368 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),79(a,1,2)),flip(b)]. 371 (x / y) * y != z * u | z \ x = u. [para(17(a,1),81(a,1,1,1)),flip(b)]. 372 x \ (x * y) != z * u | y / u = z. [para(19(a,1),85(a,1,2,2)),flip(b)]. 373 (x / y) * y != z * u | x / u = z. [para(19(a,1),88(a,1,1,1)),flip(b)]. 374 R(x,y,z) * (y * z) != u * z | x * y = u. [para(33(a,2),88(a,1,1)),flip(b)]. 375 (x * y) \ (x * y) = a(x,1,y). [para(15(a,1),92(a,1,2,1))]. 376 a(x,1,y) = 1. [hyper(210,a,375,a),flip(a)]. 378 L(x,1,y) = x. [hyper(36,a,376,a)]. 379 a(x,y,1) = 1. [hyper(209,a,93,a)]. 381 L(1,x,y) = 1. [hyper(36,a,379,a)]. 382 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,89,a(flip),b,103,a)]. 383 L(x \ T(y * x,y),x,y) = y. [hyper(20,a,158,a(flip),b,103,a)]. 384 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(220,a,91,a(flip),b,103,a(flip)),flip(a)]. 385 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(220,a,90,a(flip),b,103,a(flip)),flip(a)]. 388 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),22(a,1)),flip(a)]. 390 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),31(a,2,2,2)),flip(a)]. 392 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),103(a,1,2))]. 393 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),103(a,1,2))]. 394 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),103(a,1,2))]. 395 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(118(a,1),103(a,1,1))]. 396 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),209(a,1,2)),flip(b)]. 397 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(103(a,1),98(a,1,1))]. 398 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(179(a,2),103(a,1,1))]. 400 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(220,a,333,a(flip),b,105,a)]. 401 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(220,a,125,a(flip),b,105,a)]. 402 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(220,a,124,a(flip),b,105,a)]. 403 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(220,a,101,a(flip),b,105,a)]. 404 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),105(a,2,1))]. 407 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),43(a,2,1)),flip(a)]. 408 R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x). [para(105(a,1),47(a,1,1))]. 409 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(118(a,1),105(a,2,1))]. 411 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 414 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,91,a(flip),b,114,a)]. 417 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),114(a,1,2))]. 418 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(114(a,1),23(a,1))]. 421 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(114(a,1),33(a,2,1,1)),flip(a)]. 423 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),114(a,1,1))]. 424 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),114(a,1,1))]. 425 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),114(a,1,1))]. 426 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(118(a,1),114(a,1,2))]. 427 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),114(a,1,2))]. 428 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(179(a,2),114(a,1,2))]. 429 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(114(a,1),272(a,1,1)),flip(b)]. 430 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(114(a,2),272(a,1,1)),flip(b)]. 431 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(114(a,1),147(a,1))]. 433 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(114(a,1),103(a,1,1))]. 434 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(114(a,1),114(a,1,2))]. 435 R(x / (1 / y),1 / y,y) = x * y. [hyper(220,a,129,a(flip),b,115,a)]. 436 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(220,a,128,a(flip),b,115,a)]. 437 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),115(a,2,1))]. 438 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(17(a,1),115(a,2,2))]. 439 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),115(a,2,2))]. 440 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(115(a,1),45(a,2,1)),flip(a)]. 441 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(115(a,2),120(a,1,1))]. 442 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(188(a,1),115(a,2,2))]. 443 R(x / y,y,x \ z) \ z = y * (x \ z). [para(115(a,2),281(a,1,1))]. 445 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(114(a,1),115(a,2,1))]. 446 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(114(a,1),115(a,2,2))]. 448 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),134(a,1,1,2))]. 449 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(118(a,1),134(a,1,1,2))]. 451 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(118(a,1),139(a,1,2,1))]. 452 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),139(a,1,2,1))]. 455 K(x,1 / x) \ x = L(x,1 / x,x). [para(182(a,2),153(a,2,1)),flip(a)]. 456 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,48,a,b,180,a)]. 457 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,43,a(flip),b,180,a)]. 459 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(118(a,1),180(a,1,2)),flip(a)]. 460 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,48,a,b,183,a)]. 461 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(118(a,1),183(a,1,2)),flip(a)]. 462 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(183(a,1),209(a,1,2)),flip(b)]. 463 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,45,a(flip),b,184,a)]. 464 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(71,a,184,a(flip),b,118,a)]. 469 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,49,a,b,185,a)]. 470 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,47,a(flip),b,185,a)]. 471 K(x,1 / x) * x = R(x,1 / x,x). [para(182(a,2),185(a,1,1))]. 472 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(217(a,1),43(a,2,1))]. 474 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(103(a,1),232(a,1)),flip(b)]. 476 x * 1 != y * z | x / z = y. [para(61(a,1),270(a,1))]. 478 x * (x \ y) != z * u | y / u = z. [para(224(a,2),476(a,1))]. 479 (x * (x \ y)) * z != u | y * z = u. [para(63(a,1),271(a,1,1,1))]. 480 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(298(a,1),248(a,1,2))]. 481 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(299(a,1),43(a,2,1)),flip(a)]. 482 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(303(a,1),45(a,2,1)),flip(a)]. 484 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(303(a,2),115(a,1,1))]. 485 x * y != z * u | z \ (x * y) = u. [para(16(a,1),318(a,1,2))]. 486 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),318(a,1,2))]. 492 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(330(a,1),208(a,1,2)),flip(b)]. 493 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(331(a,1),208(a,1,2)),flip(b)]. 496 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(223(a,1),371(a,1,1))]. 497 (x * y) / y != z * u | z \ x = u. [para(223(a,2),371(a,1))]. 500 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(297(a,1),372(a,1,2))]. 506 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(223(a,1),373(a,1,1))]. 508 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(220,a,179,a,b,382,a)]. 509 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(401(a,1),43(a,2,1))]. 510 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(402(a,1),43(a,2,1))]. 511 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(402(a,1),47(a,1,1)),flip(a)]. 513 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(435(a,1),45(a,2,1))]. 516 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 517 K(x,1 / x) * L(x,1 / x,x) = x. [para(455(a,1),17(a,1,2))]. 520 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(89(a,2),485(a,1))]. 522 (x * T(y,x)) / x != z * u | z \ y = u. [para(118(a,2),497(a,1,1))]. 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(517(a,1),22(a,1)),flip(a)]. 524 T(x / y,(z / y) \ z) = y \ x. [hyper(160,a,252,a,b,250,a)]. 525 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(160,a,103,a(flip),b,90,a(flip))]. 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(220,a,103,a(flip),b,172,a(flip)),flip(a)]. 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),172(a,1,2,1))]. 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),172(a,1,2,1))]. 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(120(a,1),172(a,1,2,1)),flip(a)]. 533 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(154(a,1),172(a,1,2,1)),flip(a)]. 534 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(119(a,1),172(a,1,2,1))]. 536 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(220,a,114,a(flip),b,173,a)]. 537 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,114,a(flip),b,173,a)]. 538 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(173(a,1),22(a,1))]. 541 R(x,y,z) * x = x * R(x,y,z). [para(117(a,1),173(a,1,2,1)),flip(a)]. 542 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(120(a,1),173(a,1,2,1)),flip(a)]. 543 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(130(a,1),173(a,1,2,1)),flip(a)]. 544 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(154(a,1),173(a,1,2,1)),flip(a)]. 545 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(119(a,1),173(a,1,2,1))]. 546 T(x,R(x,y,z)) = x. [hyper(161,a,541,a)]. 547 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(176(a,1),155(a,1,1,2))]. 548 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(177(a,1),155(a,1,1,2))]. 549 T(x / (y * x),y) = R(y \ 1,y,x). [para(151(a,1),177(a,1,1))]. 550 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(115(a,1),177(a,1,1))]. 551 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(219(a,1),177(a,1,1)),flip(a)]. 553 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(436(a,1),177(a,1,1)),flip(a)]. 554 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(549(a,1),118(a,1,2)),flip(a)]. 555 x * (y * (y \ z)) != u | x * z = u. [para(229(a,1),208(a,1)),flip(b)]. 556 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(229(a,1),478(a,1))]. 557 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(180(a,1),555(a,1))]. 559 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(318,a,240,a),flip(a)]. 560 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(160,a,240,a,b,118,a)]. 561 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(79,a,240,a)]. 564 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(240(a,2),29(a,2,1)),flip(a)]. 565 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(240(a,2),31(a,2,1)),flip(a)]. 567 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(373,a,241,a),flip(a)]. 568 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,241,a,b,xx)]. 573 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(242(a,2),555(a,1,2))]. 574 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),322(a,1,1))]. 576 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(118(a,1),327(a,1,2))]. 577 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(182(a,2),327(a,1,2))]. 578 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(328(a,2),191(a,1,2,2))]. 579 K(x \ (x * y),x) = K(y,x). [hyper(220,a,99,a(flip),b,335,a),flip(a)]. 580 K(x \ (x * y),z) = K(y,z). [para(56(a,1),579(a,1,1)),flip(a)]. 581 K((x / y) \ x,z) = K(y,z). [para(19(a,1),580(a,1,1,2))]. 583 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(344(a,1),272(a,1,1)),flip(b)]. 584 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(220,a,240,a(flip),b,345,a(flip)),flip(a)]. 585 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(345(a,1),272(a,1,1)),flip(b)]. 586 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(66(a,1),349(a,1,1,2,1))]. 587 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(349(a,1),214(a,1,1)),flip(b)]. 588 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(120(a,1),354(a,1,1,2)),flip(a)]. 589 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(354(a,1),214(a,1,1)),flip(b)]. 590 K((x \ y) \ 1,y \ x) = 1. [hyper(39,a,480,a)]. 591 K(((x * y) \ x) \ 1,y) = 1. [para(16(a,1),590(a,1,2))]. 592 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(561(a,1),208(a,1,2)),flip(b)]. 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,91,a(flip),b,94,a)]. 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(17(a,1),94(a,1,1,2))]. 595 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(19(a,1),94(a,1,1,2))]. 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),209(a,1,2)),flip(b)]. 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(114(a,1),94(a,1,1))]. 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(118(a,1),104(a,1,2,2)),flip(a)]. 602 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),205(a,1)),flip(b)]. 606 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(112(a,2),267(a,1,1))]. 608 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(184(a,1),149(a,1,2))]. 609 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),152(a,1,2))]. 610 L(T(x,y),y,x) = T(x,x * y). [hyper(211,a,167,a),flip(a)]. 612 T(L(x,y,x),y) = T(x,x * y). [hyper(220,a,43,a(flip),b,610,a(flip)),flip(a)]. 613 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(610(a,1),47(a,1,1)),flip(a)]. 614 x * T(y,y * x) = L(y,x,y) * x. [para(610(a,1),172(a,1,2))]. 615 (x * T(y,y * x)) / x = L(y,x,y). [para(612(a,1),155(a,1,1,2))]. 617 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,345,a,b,614,a(flip)),flip(a)]. 618 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(17(a,1),614(a,1,2,2)),flip(a)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),617(a,1,2))]. 624 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(47(a,1),275(a,1,1))]. 626 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(71,a,118,a(flip),b,295,a)]. 627 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(295(a,2),78(a,1))]. 628 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(300(a,2),103(a,1,2))]. 629 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(119(a,1),312(a,1,2))]. 631 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),314(a,1,2,1))]. 633 K(x,y) = L(x \ T(x,y),x,y). [hyper(220,a,29,a,b,341,a),flip(a)]. 634 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(341(a,1),43(a,2,1))]. 636 (x / y) \ (L(y \ 1,y,x / y) * x) != z | K(x \ (x / y),x) = z. [para(299(a,2),359(a,1,2,1))]. 637 (x \ y) \ (y * R(1 / x,x,x \ y)) != z | K(y,(x \ y) / y) = z. [para(303(a,2),361(a,1,2,2))]. 638 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(220,a,172,a(flip),b,384,a(flip))]. 639 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,172,a(flip),b,384,a(flip))]. 640 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),384(a,1,2))]. 641 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(384(a,1),209(a,1,2)),flip(b)]. 642 L(x \ y,x,y / x) = T(y / x,y). [hyper(160,a,89,a(flip),b,385,a),flip(a)]. 644 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,172,a(flip),b,385,a(flip))]. 647 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(400(a,1),43(a,2,1))]. 648 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(400(a,1),47(a,1,1)),flip(a)]. 649 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(404(a,2),211(a,1))]. 650 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(414(a,1),274(a,1,2)),flip(b)]. 651 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(439(a,1),45(a,2,1))]. 652 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 653 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(439(a,1),177(a,1,1)),flip(a)]. 654 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(449(a,1),207(a,1,1)),flip(b)]. 656 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),550(a,2,1)),flip(a)]. 657 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(550(a,1),175(a,1,1))]. 658 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(551(a,1),114(a,1,1))]. 659 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(16(a,1),553(a,1,1)),flip(a)]. 660 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(19(a,1),554(a,1,1,2)),flip(a)]. 662 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(656(a,2),118(a,1,2)),flip(a)]. 664 T(R(x,y,x),y * x) = T(x,y). [para(656(a,2),194(a,1,1))]. 665 R(T(x,y * x),y,x) = T(x,y). [hyper(220,a,45,a,b,664,a(flip)),flip(a)]. 667 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(664(a,1),173(a,1,2,1)),flip(a)]. 668 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),665(a,1,1,2))]. 669 R(x,1 / x,x) = T(x,1 / x). [para(141(a,1),668(a,1,1))]. 670 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(669(a,1),49(a,1,1)),flip(a)]. 671 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(659(a,1),155(a,1,1,2))]. 672 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(220,a,45,a,b,122,a),flip(a)]. 679 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),388(a,1,1)),flip(a)]. 681 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(118(a,1),396(a,1,1))]. 682 (x * y) \ (x * ((z \ y) * z)) != u | L(K(z \ y,z),y,x) = u. [para(234(a,1),396(a,1,2,2))]. 688 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(69(a,1),429(a,1,1))]. 691 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(118(a,1),492(a,1,2))]. 692 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(179(a,2),493(a,1,2))]. 694 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(298(a,1),531(a,2,2))]. 695 L(R(x / y,y,y \ z),u,w) * z = z * L(z \ (x * (y \ z)),u,w). [para(438(a,2),531(a,1,1,1))]. 697 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,533,a),flip(a)]. 698 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,103,a(flip),b,533,a),flip(a)]. 701 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(542(a,1),184(a,1,1))]. 702 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(238(a,1),542(a,1,1,1)),flip(a)]. 703 T(x,R(T(x,y),z,u)) = x. [hyper(161,a,543,a)]. 704 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(216,a,544,a)]. 705 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,544,a),flip(a)]. 708 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,544,a(flip),b,275,a(flip))]. 713 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(217(a,1),547(a,1,1,2)),flip(a)]. 714 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(298(a,1),547(a,1,1,2))]. 716 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(633(a,2),547(a,1,1,2)),flip(a)]. 718 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(66(a,1),548(a,1,1,2,1))]. 719 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(548(a,1),214(a,1,1)),flip(b)]. 720 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(588(a,1),118(a,1,2)),flip(a)]. 721 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(588(a,1),155(a,1,1,2))]. 723 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(120(a,1),672(a,1,1,1)),flip(a)]. 724 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),697(a,2,1,2))]. 725 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(217(a,1),697(a,2,1,2))]. 726 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(299(a,1),697(a,2,1,2))]. 727 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(400(a,1),697(a,2,1,2))]. 729 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(151(a,1),705(a,2,1,2))]. 730 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(219(a,1),705(a,2,1,2))]. 732 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(435(a,1),705(a,2,1,2))]. 733 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(436(a,1),705(a,2,1,2))]. 734 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(705(a,1),216(a,1,1))]. 736 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(220,a,354,a(flip),b,170,a(flip)),flip(a)]. 737 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(220,a,105,a(flip),b,301,a)]. 738 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(294(a,1),301(a,1,1)),flip(a)]. 739 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(301(a,1),103(a,1,2))]. 740 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(17(a,1),738(a,1,1,1))]. 741 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),392(a,1,2,1))]. 742 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(217(a,1),392(a,1,2,1))]. 743 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(610(a,1),392(a,1,2,1))]. 745 (x * y) * L(R(T(x,y) \ z,u,w),T(x,y),y) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(542(a,2),395(a,2,2))]. 746 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(118(a,1),407(a,1,1,1)),flip(a)]. 747 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(407(a,2),212(a,1,2))]. 748 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(409(a,1),47(a,1,1)),flip(a)]. 749 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(409(a,1),48(a,1,1)),flip(a)]. 750 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(115(a,1),423(a,1,1,1))]. 751 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(20,a,173,a,b,426,a(flip)),flip(a)]. 752 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(751(a,1),426(a,1,1)),flip(a)]. 753 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(220,a,120,a(flip),b,440,a(flip))]. 754 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(118(a,1),451(a,1,2))]. 755 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(402(a,1),457(a,1,2,1)),flip(a)]. 756 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(220,a,344,a(flip),b,463,a)]. 757 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(472(a,1),212(a,1,2))]. 758 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(481(a,2),385(a,1,2)),flip(a)]. 759 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(482(a,2),275(a,1,1))]. 760 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(602,a,509,a)]. 761 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(220,a,461,a(flip),b,509,a(flip)),flip(a)]. 762 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,509,a(flip),b,183,a)]. 764 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(220,a,459,a(flip),b,510,a(flip)),flip(a)]. 765 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(71,a,510,a(flip),b,459,a(flip))]. 766 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(72,a,513,a(flip),b,185,a),flip(a)]. 769 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(525(a,1),345(a,1,1))]. 770 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(220,a,295,a(flip),b,526,a),flip(a)]. 772 R(T(x,(x \ y) * z),x \ y,z) = ((x \ y) * z) \ (y * z). [hyper(71,a,91,a(flip),b,536,a),flip(a)]. 773 (x * y) * T(y,x) = (y * x) * y. [para(665(a,1),536(a,1,2))]. 774 (x * (y / x)) * x = y * T(x,y / x). [hyper(271,a,773,a),flip(a)]. 775 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(71,a,57,a(flip),b,773,a)]. 777 K(x \ 1,x) \ x = T(x,x \ 1). [para(179(a,2),775(a,1,1))]. 778 K(x \ 1,x) * T(x,x \ 1) = x. [para(777(a,1),17(a,1,2))]. 779 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(220,a,241,a(flip),b,778,a(flip)),flip(a)]. 781 R(x,y \ 1,(y \ 1) \ 1) != z | (x * (y \ 1)) * T(y,y \ 1) = z. [para(184(a,1),573(a,1))]. 782 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(63(a,1),587(a,1,1,1))]. 783 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(155(a,1),589(a,1,1,1))]. 784 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(118(a,1),593(a,1,1))]. 786 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [hyper(71,a,774,a(flip),b,595,a)]. 788 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(220,a,353,a(flip),b,621,a(flip)),flip(a)]. 792 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(298(a,1),639(a,1,2,1)),flip(a)]. 793 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(400(a,1),639(a,1,2,1)),flip(a)]. 795 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(19(a,1),713(a,2,1,2,1))]. 796 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(165(a,1),713(a,2,1,2))]. 797 (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). [para(17(a,1),753(a,1,1,2)),flip(a)]. 798 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(769(a,1),23(a,1))]. 800 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(220,a,334,a,b,720,a(flip)),flip(a)]. 801 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(63(a,1),720(a,1,1,1,2)),flip(a)]. 802 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(115(a,2),720(a,1,1,1,2))]. 804 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(721(a,1),214(a,1,1)),flip(b)]. 805 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(115(a,1),723(a,1,1,1))]. 806 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(441(a,1),723(a,1,1)),flip(a)]. 807 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(160,a,752,a,b,xx)]. 810 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),755(a,2,2,1))]. 811 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),755(a,2,2,1))]. 812 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(220,a,346,a(flip),b,810,a(flip)),flip(a)]. 813 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(812(a,1),166(a,1,2,2))]. 814 T((1 / x) * y,z) != (1 / x) * u | x * T(x \ y,z) = u. [para(760(a,1),22(a,1))]. 815 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),762(a,1,2,1))]. 816 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),762(a,1,2,1)),flip(a)]. 818 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),765(a,1,2,1)),flip(a)]. 819 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(19(a,1),765(a,1,2,1))]. 820 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(589,a,766,a),flip(a)]. 821 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(587,a,766,a)]. 822 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,766,a(flip),b,344,a(flip))]. 823 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(120(a,1),766(a,1,1)),flip(a)]. 824 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(766(a,1),587(a,1))]. 825 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(220,a,335,a,b,792,a),flip(a)]. 826 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,335,a,b,792,a),flip(a)]. 828 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(78,a,811,a)]. 829 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,811,a(flip),b,344,a)]. 831 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(213,a,816,a)]. 832 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(820(a,1),19(a,1,1)),flip(a)]. 833 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(57(a,1),820(a,1,1,1)),flip(a)]. 834 (1 / x) * T(x,y) = T(x,y) / x. [para(64(a,1),820(a,1,1,1)),flip(a)]. 835 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(269,a,834,a),flip(a)]. 836 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(160,a,834,a,b,17,a),flip(a)]. 837 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,834,a)]. 838 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(78,a,834,a)]. 839 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(220,a,241,a(flip),b,834,a(flip))]. 841 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(834(a,1),269(a,1))]. 842 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(834(a,1),617(a,1,2))]. 843 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(220,a,344,a,b,835,a)]. 844 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(574,a,836,a)]. 845 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(119(a,1),839(a,1,1)),flip(a)]. 846 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(19(a,1),821(a,2,1,1))]. 847 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(19(a,1),822(a,1,2,1,1))]. 849 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),823(a,1,1,1)),flip(a)]. 851 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(150(a,2),826(a,1,1,1))]. 853 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z * u | K(y,x) / u = z. [para(826(a,2),478(a,1,2))]. 854 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(828(a,1),208(a,1,2)),flip(b)]. 856 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(832(a,2),23(a,1))]. 859 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(834(a,1),264(a,1,2,2))]. 860 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(150(a,1),393(a,1,2,1))]. 861 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),393(a,1,2,1))]. 862 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(217(a,1),393(a,1,2,1))]. 863 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),394(a,1,2,1))]. 864 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(217(a,1),394(a,1,2,1))]. 865 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,398,a)]. 867 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(408(a,2),212(a,1,2))]. 871 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(812(a,1),452(a,1,1,1))]. 872 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(456(a,2),22(a,1))]. 873 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(402(a,1),456(a,1,2,1)),flip(a)]. 874 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(294(a,1),460(a,1,2,1))]. 876 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(469(a,2),23(a,1))]. 877 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(435(a,1),469(a,1,1,1)),flip(a)]. 879 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(669(a,1),470(a,1,1,1))]. 880 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(508(a,1),80(a,1,1)),flip(b)]. 881 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,511,a(flip),b,180,a),flip(a)]. 882 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(647(a,1),384(a,1,2)),flip(a)]. 883 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(651(a,1),417(a,1,1)),flip(a)]. 884 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(303(a,1),708(a,1,1,2))]. 886 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),806(a,1,1,1)),flip(a)]. 887 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(851(a,2),325(a,1,2)),flip(a)]. 889 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,173,a,b,545,a),flip(a)]. 890 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(71,a,889,a,b,17,a)]. 891 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,889,a(flip),b,276,a),flip(a)]. 893 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(587,a,658,a)]. 894 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(314,a,743,a),flip(a)]. 895 T(x,y) * (x * z) = x * (T(x,y) * z). [para(171(a,1),894(a,1,2)),flip(a)]. 896 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(555,a,895,a),flip(a)]. 897 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(520,a,895,a)]. 898 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(486,a,895,a),flip(a)]. 899 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(220,a,89,a(flip),b,895,a)]. 900 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(160,a,895,a,b,229,a)]. 905 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,58,a(flip),b,895,a),flip(a)]. 906 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(19(a,1),895(a,1,2)),flip(a)]. 907 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(118(a,1),895(a,1,2)),flip(a)]. 908 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),895(a,1,1)),flip(a)]. 911 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(196,a,905,a)]. 912 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(160,a,905,a,b,17,a),flip(a)]. 913 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,905,a)]. 914 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(78,a,905,a)]. 915 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(905(a,1),209(a,1,2)),flip(b)]. 917 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(905(a,1),183(a,1,2)),flip(a)]. 918 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(913(a,1),829(a,2,1))]. 919 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(914(a,1),761(a,1,2,1)),flip(a)]. 920 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(896(a,1),22(a,1))]. 921 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,898,a)]. 922 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(160,a,118,a,b,899,a),flip(a)]. 923 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,384,a,b,899,a)]. 924 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,235,a,b,899,a)]. 925 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(120(a,1),922(a,1,2,1))]. 926 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(921(a,1),208(a,1,2)),flip(b)]. 927 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(921(a,2),208(a,1,2)),flip(b)]. 929 x * (T(x,y) \ (x \ z)) != u * w | (T(x,y) \ z) / w = u. [para(921(a,2),478(a,1,2))]. 930 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,384,a,b,907,a)]. 931 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(918(a,1),19(a,1,1))]. 932 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(120(a,1),925(a,2,2))]. 933 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),932(a,1,2,1))]. 935 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),933(a,2,2)),flip(a)]. 936 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,935,a,b,xx)]. 939 T(x,x / y) / y = (x * (x / y)) / x. [hyper(277,a,935,a(flip))]. 940 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),935(a,2,1,1)),flip(a)]. 941 ((x * (x / y)) / x) * y = T(x,x / y). [para(66(a,1),935(a,2,2)),flip(a)]. 944 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(326(a,1),935(a,2,2)),flip(a)]. 945 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),936(a,1,2)),flip(a)]. 947 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(939(a,1),214(a,1,1)),flip(b)]. 948 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(220,a,720,a(flip),b,941,a(flip)),flip(a)]. 949 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(71,a,941,a(flip),b,720,a(flip))]. 950 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(66(a,1),948(a,1,2,1,2))]. 951 T(x \ T(y,y / x),y) = x \ y. [para(949(a,2),154(a,1,1))]. 952 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(949(a,1),318(a,1,2))]. 953 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(63(a,1),951(a,1,1,2,2))]. 954 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,154,a(flip),b,940,a),flip(a)]. 955 T(T(x * y,x) / y,x * y) = x. [para(945(a,1),154(a,1,1))]. 956 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(945(a,1),736(a,1,1))]. 957 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(184(a,1),955(a,1,1,1,1))]. 958 ((x * y) * x) / (x * y) != z * u | z \ (T(x * y,x) / y) = u. [para(955(a,1),522(a,1,1,2))]. 960 x * R(y,x,T(y,x)) = T(y * x,y). [para(956(a,1),159(a,1,2))]. 962 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(155(a,1),950(a,1,2)),flip(a)]. 964 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(55(a,1),926(a,1,2,2))]. 965 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(346(a,2),964(a,1))]. 966 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(16(a,1),927(a,1,2,2))]. 968 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(344(a,1),906(a,1,2))]. 969 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(836(a,1),924(a,1,2))]. 971 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(968(a,2),22(a,2))]. 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(257(a,1),758(a,1,2))]. 974 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(587,a,759,a),flip(a)]. 975 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(358,a,770,a)]. 976 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(72,a,975,a,b,344,a)]. 977 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),873(a,2,2,1))]. 979 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(220,a,534,a(flip),b,977,a(flip)),flip(a)]. 980 ((x \ y) \ 1) \ L((x \ y) \ 1,x \ y,x) = (y \ x) * (((x \ y) \ 1) \ 1). [para(298(a,1),979(a,1,1)),flip(a)]. 981 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(979(a,1),554(a,1,1,2)),flip(a)]. 983 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(719,a,877,a)]. 984 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(877(a,1),23(a,1))]. 985 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),881(a,2,2,1))]. 987 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(220,a,545,a(flip),b,985,a(flip)),flip(a)]. 988 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,985,a(flip),b,545,a(flip))]. 989 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(72,a,987,a(flip),b,173,a)]. 990 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(66(a,1),987(a,1,2)),flip(a)]. 991 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(987(a,1),98(a,1,1))]. 992 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(987(a,1),554(a,1,1,2)),flip(a)]. 993 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),588(a,2,1))]. 995 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(220,a,542,a(flip),b,990,a)]. 997 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(220,a,608,a(flip),b,995,a(flip))]. 998 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(995(a,1),17(a,1,2))]. 999 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(304(a,1),995(a,1,2)),flip(a)]. 1000 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(554(a,2),998(a,1,2))]. 1001 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(220,a,151,a(flip),b,1000,a)]. 1002 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(160,a,1001,a,b,297,a)]. 1004 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(220,a,720,a(flip),b,884,a)]. 1005 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(220,a,628,a(flip),b,893,a(flip))]. 1007 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(63(a,1),1005(a,1,1,1,2)),flip(a)]. 1009 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),908(a,1,2,1))]. 1010 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(154(a,1),908(a,1,2,1)),flip(a)]. 1011 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(178(a,1),908(a,1,2,1)),flip(a)]. 1012 (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. [hyper(555,a,1009,a),flip(a)]. 1014 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(317,a,1009,a),flip(a)]. 1015 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(220,a,65,a(flip),b,1009,a)]. 1018 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(71,a,58,a(flip),b,1009,a),flip(a)]. 1019 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(691,a,1015,a)]. 1020 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(66(a,1),1015(a,1,2,1))]. 1021 (1 / x) * K(x \ 1,x) = x \ 1. [para(179(a,2),1015(a,1,2))]. 1022 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1021(a,1),418(a,2,2))]. 1023 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1019(a,1),460(a,1,2,1))]. 1024 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(220,a,845,a(flip),b,1014,a(flip)),flip(a)]. 1025 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(16(a,1),1014(a,1,2,1)),flip(a)]. 1026 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1018(a,1),22(a,1))]. 1027 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(220,a,66,a(flip),b,1020,a)]. 1029 (1 / (1 / x)) * K(x,1 / x) = x. [para(182(a,2),1027(a,1,2))]. 1031 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(120(a,1),974(a,1,1,1))]. 1032 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(344(a,1),974(a,1,1))]. 1033 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(179(a,2),1031(a,1,1))]. 1035 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),983(a,2,1,1))]. 1036 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(66(a,1),1035(a,1,2,1))]. 1037 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(160,a,1036,a,b,17,a),flip(a)]. 1038 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(78,a,1036,a)]. 1039 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1036(a,2),19(a,1,1))]. 1040 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1036(a,1),161(a,2)),flip(a)]. 1041 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1036(a,1),105(a,2,1))]. 1042 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1038(a,1),208(a,1,2)),flip(b)]. 1043 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1037(a,1),606(a,1,1,2))]. 1044 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(220,a,172,a(flip),b,1023,a)]. 1045 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(298(a,1),1044(a,1,2)),flip(a)]. 1046 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(16(a,1),1025(a,1,1)),flip(a)]. 1047 (1 / x) \ ((y * (1 / x)) / y) = ((y * (1 / x)) / y) * x. [para(66(a,1),1046(a,1,2)),flip(a)]. 1048 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1032(a,1),272(a,1,1)),flip(b)]. 1049 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(810(a,1),1032(a,1,1))]. 1052 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(400(a,1),640(a,1,2,1)),flip(a)]. 1053 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(648(a,1),384(a,1,2)),flip(a)]. 1054 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(652(a,1),417(a,1,1)),flip(a)]. 1056 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(220,a,425,a(flip),b,667,a(flip))]. 1057 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(118(a,1),698(a,2,1,2))]. 1059 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,724,a(flip),b,183,a)]. 1060 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(724(a,1),103(a,1,2))]. 1061 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(725(a,1),103(a,1,2))]. 1062 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(725(a,1),212(a,1,2))]. 1063 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(726(a,1),385(a,1,2)),flip(a)]. 1064 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,732,a(flip),b,185,a),flip(a)]. 1065 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(746(a,1),395(a,1,2))]. 1066 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(436(a,1),756(a,1,1,1))]. 1067 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(220,a,755,a(flip),b,1066,a)]. 1068 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1066(a,1),19(a,1,1))]. 1075 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(220,a,638,a(flip),b,784,a)]. 1076 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1075(a,1),66(a,1,1))]. 1078 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(897(a,1),796(a,1,1,1))]. 1079 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(220,a,333,a(flip),b,797,a(flip))]. 1081 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(1079(a,1),275(a,1,1))]. 1082 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(344(a,1),1081(a,2,1))]. 1083 (1 / x) \ ((y * (1 / x)) / y) != z | x * ((y * (x \ 1)) / y) = z. [para(1047(a,2),804(a,1))]. 1084 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(14(a,1),824(a,1,1,1))]. 1085 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(16(a,1),854(a,1,2,1,2))]. 1087 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(584(a,2),22(a,1))]. 1089 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(740(a,1),979(a,1,1)),flip(a)]. 1090 x * (y * T(y \ (x \ (z * (x * y))),u)) = T(z,u) * (x * y). [hyper(631,a,742,a),flip(a)]. 1091 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(220,a,893,a(flip),b,742,a(flip))]. 1092 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(755(a,1),1091(a,1,2)),flip(a)]. 1093 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(821(a,1),1091(a,1,2)),flip(a)]. 1094 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1033(a,2),1091(a,1,2)),flip(a)]. 1095 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(60(a,1),1094(a,1,1,1,2)),flip(a)]. 1097 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(179(a,2),1095(a,2,1))]. 1098 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1097(a,1,2,2)),flip(a)]. 1099 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1097(a,1,2,2))]. 1100 K(x \ 1,x) * K(x,1 / x) = x * (K(x \ 1,x) * (1 / x)). [para(263(a,1),1097(a,1,2,2)),flip(a)]. 1101 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1098(a,1),167(a,1,2))]. 1102 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(589,a,750,a),flip(a)]. 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(345(a,1),1102(a,1,1))]. 1104 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(506,a,1103,a)]. 1105 (1 / T(x,y)) * x = x / T(x,y). [hyper(320,a,1103,a),flip(a)]. 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(271,a,1103,a),flip(a)]. 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(220,a,118,a(flip),b,1103,a)]. 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(220,a,90,a(flip),b,1103,a)]. 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,1103,a)]. 1110 (x * (y * x)) / x = y * T(x,y * x). [hyper(72,a,118,a(flip),b,1103,a)]. 1112 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,69,a(flip),b,1103,a),flip(a)]. 1115 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(118(a,1),1103(a,2,1))]. 1116 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(120(a,1),1103(a,1,1,2)),flip(a)]. 1118 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(78,a,1105,a)]. 1120 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1118(a,1),208(a,1,2)),flip(b)]. 1121 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1118(a,1),847(a,2,1))]. 1122 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1118(a,1),849(a,1,1)),flip(a)]. 1126 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1104(a,2),161(a,2)),flip(a)]. 1127 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),23(a,1)),flip(a)]. 1128 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),272(a,1,1)),flip(b)]. 1129 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(962(a,2),1106(a,1,1))]. 1132 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,118,a(flip),b,1108,a),flip(a)]. 1133 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(269,a,1132,a),flip(a)]. 1135 (T(x,y) / y) \ x = T(y,T(x,y)). [hyper(71,a,155,a(flip),b,1132,a)]. 1139 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(302(a,1),1132(a,1,1)),flip(a)]. 1140 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(323(a,1),1132(a,1,1)),flip(a)]. 1141 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),886(a,1,1)),flip(a)]. 1145 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1121(a,1),63(a,1,2))]. 1148 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1129(a,1),907(a,1,2)),flip(a)]. 1150 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1148,a),flip(a)]. 1151 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(220,a,962,a(flip),b,1150,a(flip))]. 1152 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(688,a,1151,a)]. 1153 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(171(a,1),1115(a,1,1))]. 1154 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,57,a(flip),b,1153,a)]. 1155 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(120(a,1),1116(a,1,2))]. 1156 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(154(a,1),1116(a,1,2)),flip(a)]. 1157 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(506,a,1155,a)]. 1159 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(320,a,1155,a),flip(a)]. 1160 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(72,a,90,a(flip),b,1155,a)]. 1164 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(220,a,812,a(flip),b,1154,a)]. 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(220,a,1046,a(flip),b,801,a)]. 1166 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),860(a,1,1))]. 1167 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,882,a)]. 1168 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),882(a,2,2,1,2))]. 1169 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,1168,a),flip(a)]. 1170 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(257(a,1),1168(a,1,2)),flip(a)]. 1171 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(220,a,975,a,b,1169,a(flip)),flip(a)]. 1172 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(16(a,1),1170(a,1,2,1)),flip(a)]. 1173 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(220,a,344,a(flip),b,883,a)]. 1176 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(792(a,1),1007(a,1,2)),flip(a)]. 1177 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(99(a,1),1176(a,2,2))]. 1178 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1177(a,1,1,1))]. 1180 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1178(a,2,2,1))]. 1181 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(220,a,296,a,b,1180,a(flip)),flip(a)]. 1183 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1010(a,1,1)),flip(a)]. 1184 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(555,a,1183,a),flip(a)]. 1185 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,89,a(flip),b,1183,a)]. 1186 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,58,a(flip),b,1183,a),flip(a)]. 1187 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(586(a,1),1186(a,1,2,1)),flip(a)]. 1188 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(20,a,384,a,b,1184,a)]. 1189 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(220,a,137,a(flip),b,1011,a(flip))]. 1190 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(317,a,1189,a),flip(a)]. 1192 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(220,a,1159,a(flip),b,1190,a(flip)),flip(a)]. 1195 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(947,a,1064,a),flip(a)]. 1196 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(804,a,1064,a)]. 1197 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1195(a,1,1,1,2)),flip(a)]. 1198 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1195(a,1),1152(a,1,1))]. 1199 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1156(a,1,1,2)),flip(a)]. 1201 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(320,a,1199,a),flip(a)]. 1202 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,64,a(flip),b,1199,a),flip(a)]. 1203 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(950(a,1),1199(a,1,1)),flip(a)]. 1204 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(271,a,1203,a),flip(a)]. 1205 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(920,a,1204,a)]. 1207 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1205,a)]. 1209 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(220,a,1197,a,b,1207,a(flip)),flip(a)]. 1210 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1209(a,1,2,2,2)),flip(a)]. 1211 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(17(a,1),1167(a,1,2,2,1,2)),flip(a)]. 1212 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(344(a,1),1173(a,1,1))]. 1213 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1196(a,2,1,1,2))]. 1214 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(35(a,2),1211(a,1,1))]. 1217 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,742,a(flip),b,1212,a)]. 1218 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(72,a,741,a(flip),b,1212,a),flip(a)]. 1219 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,118,a(flip),b,1212,a),flip(a)]. 1220 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(14(a,1),1212(a,2,2,1,2))]. 1221 (x * T(((x * y) / y) \ z,u)) * y = (x * y) * T((x * y) \ (z * y),u). [para(18(a,1),1212(a,1,1,1))]. 1222 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(87,a,1220,a),flip(a)]. 1223 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(257(a,1),1220(a,1,1))]. 1224 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(220,a,975,a,b,1222,a(flip)),flip(a)]. 1225 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(220,a,342,a(flip),b,1223,a)]. 1227 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(72,a,516,a(flip),b,701,a)]. 1228 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1227(a,1,1,1)),flip(a)]. 1230 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(727(a,1),384(a,1,2)),flip(a)]. 1231 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(749(a,1),395(a,1,2))]. 1232 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(220,a,660,a(flip),b,999,a(flip))]. 1234 ((x \ y) / y) * (y / (x \ y)) = (1 / x) \ ((x \ y) / y). [para(63(a,1),1232(a,1,1,2)),flip(a)]. 1237 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(63(a,1),1234(a,1,2)),flip(a)]. 1238 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(298(a,1),1045(a,1,1)),flip(a)]. 1239 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(16(a,1),1238(a,1,2)),flip(a)]. 1240 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1238(a,1),17(a,1,2))]. 1241 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(160,a,1240,a,b,17,a)]. 1243 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(16(a,1),1239(a,1,1)),flip(a)]. 1244 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1243(a,1),17(a,1,2))]. 1245 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(354(a,1),1057(a,1,1))]. 1246 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(636,a,644,a)]. 1247 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(644(a,1),636(a,1))]. 1248 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(220,a,1222,a(flip),b,1246,a)]. 1249 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(220,a,1169,a(flip),b,1246,a)]. 1250 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(220,a,833,a(flip),b,1246,a)]. 1251 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(220,a,810,a(flip),b,1246,a)]. 1252 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,1246,a,b,344,a)]. 1253 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(836(a,1),1246(a,1,1))]. 1254 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1246(a,2),907(a,1,2)),flip(a)]. 1255 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1246(a,2),1168(a,1,2)),flip(a)]. 1256 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1250(a,2),19(a,1,1)),flip(a)]. 1257 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (T(y / z,x) * z) / y. [para(1250(a,2),439(a,1,1))]. 1259 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(120(a,1),1251(a,2,2))]. 1260 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(154(a,1),1251(a,2,2))]. 1262 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(a,2),1248(a,1,1,2,2))]. 1263 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [para(628(a,1),1248(a,2,1))]. 1264 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(953(a,1),1248(a,2,1,2))]. 1265 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(66(a,1),1249(a,2,2,2,1))]. 1267 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(854,a,1255,a),flip(a)]. 1269 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1255(a,2,2,1,2,2))]. 1270 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1255(a,2,2,1,2,2))]. 1271 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(988(a,1),1259(a,2,2))]. 1272 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1260(a,2),119(a,1,2))]. 1273 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(586(a,1),1260(a,1,1,2,2,1))]. 1274 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1132(a,1),1265(a,2,2))]. 1275 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(493,a,1254,a)]. 1276 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(257(a,1),1263(a,2,1,2))]. 1278 (x * y) * R(T(x,x * y),z,u) = x * (y * R(y \ (x * y),z,u)). [para(35(a,2),861(a,1,2,1))]. 1279 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),864(a,1,1))]. 1280 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(734,a,944,a)]. 1281 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1046(a,1),1280(a,1,1))]. 1282 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(87,a,1281,a)]. 1284 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(155(a,1),1281(a,1,1,2)),flip(a)]. 1285 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(66(a,1),1282(a,1,1,2,2)),flip(a)]. 1286 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1282(a,1),844(a,1,3)),flip(a)]. 1287 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(1083,a,1285,a),flip(a)]. 1288 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1287(a,1),19(a,1,1))]. 1289 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(905(a,1),1288(a,1,1,2,1))]. 1293 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,1052,a)]. 1294 (x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y). [hyper(71,a,529,a(flip),b,1052,a),flip(a)]. 1296 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(220,a,534,a(flip),b,1294,a(flip))]. 1297 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,225,a(flip),b,1296,a(flip)),flip(a)]. 1298 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(1296(a,1),17(a,1,2))]. 1300 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(1297(a,1),17(a,1,2))]. 1301 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1297(a,1),401(a,1,1))]. 1302 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1297(a,1),761(a,1,2,1)),flip(a)]. 1303 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1300(a,1),29(a,2,1)),flip(a)]. 1306 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(16(a,1),1298(a,1,2,2)),flip(a)]. 1310 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,89,a(flip),b,1306,a)]. 1312 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1306(a,1),167(a,1,2))]. 1313 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(179(a,2),1310(a,1,2))]. 1315 (R(x / (y / z),u,w) * (y / z)) * z = y * R(y \ (x * z),u,w). [hyper(220,a,542,a(flip),b,1054,a)]. 1319 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,1063,a)]. 1322 x * (y * R(y \ (x * y),z,u)) = R(x,z,u) * (x * y). [hyper(316,a,1278,a),flip(a)]. 1323 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(35(a,2),1322(a,1,2,2,1))]. 1324 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(173(a,1),1323(a,1,2)),flip(a)]. 1325 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(556,a,1324,a)]. 1326 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(555,a,1324,a),flip(a)]. 1329 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,1324,a)]. 1330 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,58,a(flip),b,1324,a),flip(a)]. 1333 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(118(a,1),1324(a,1,2)),flip(a)]. 1334 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(220,a,118,a,b,1330,a(flip)),flip(a)]. 1335 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1330(a,1),183(a,1,2)),flip(a)]. 1343 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(160,a,114,a(flip),b,1333,a),flip(a)]. 1346 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1293(a,1,2,2,1,2)),flip(a)]. 1347 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1346(a,1,1)),flip(a)]. 1348 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(211,a,1312,a),flip(a)]. 1349 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1348(a,1),172(a,1,2))]. 1351 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(542(a,1),1315(a,1,1))]. 1352 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1319(a,1,2,2,1))]. 1353 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(361,a,1352,a)]. 1354 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1352(a,1),361(a,1))]. 1355 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(220,a,1165,a(flip),b,1353,a)]. 1357 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(837(a,1),1353(a,1,2)),flip(a)]. 1358 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1145(a,1),1353(a,1,2)),flip(a)]. 1359 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(905(a,1),1355(a,2,2,1))]. 1360 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(987(a,1),1355(a,2,2,1))]. 1361 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(346(a,2),1357(a,1,2,1))]. 1362 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(14(a,1),1351(a,2,2,1,2))]. 1363 (x * R(((x * y) / y) \ z,u,w)) * y = (x * y) * R((x * y) \ (z * y),u,w). [para(18(a,1),1351(a,1,1,1))]. 1364 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1362,a),flip(a)]. 1365 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1364(a,1,1)),flip(a)]. 1368 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(729(a,1),434(a,1,1))]. 1370 (L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u). [hyper(220,a,624,a(flip),b,695,a(flip)),flip(a)]. 1371 (x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u). [para(531(a,1),1370(a,1,1))]. 1372 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(14(a,1),1371(a,2,2,1,2))]. 1373 (x * y) * L((x * y) \ (z * (x \ (x * y))),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1371(a,1,2)),flip(a)]. 1374 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(733(a,1),800(a,1,1))]. 1375 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(779(a,1),1374(a,1,1,1,2)),flip(a)]. 1378 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(184(a,1),957(a,1,2))]. 1379 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(463(a,1),1378(a,1,1))]. 1380 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1379(a,1),41(a,1,1)),flip(a)]. 1381 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(807(a,1),1380(a,1,1))]. 1382 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1381(a,1,1)),flip(a)]. 1383 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(436(a,1),1382(a,2,2))]. 1384 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1383(a,1,1))]. 1385 T(x,x * (y \ 1)) = T(x,y \ x). [para(120(a,1),1384(a,1,2)),flip(a)]. 1387 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (z * T(z \ y,x)) / y. [para(344(a,1),1257(a,2,1))]. 1388 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(442(a,1),1289(a,2,2))]. 1389 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1388(a,2,2,1))]. 1390 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(15(a,1),1060(a,1,2,1,2,2))]. 1391 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(952,a,1390,a)]. 1392 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1390,a(flip))]. 1393 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1390(a,1,1))]. 1394 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(220,a,1353,a,b,1391,a)]. 1395 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1391,a(flip),b,812,a)]. 1396 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1391(a,2),1288(a,1,1)),flip(a)]. 1397 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1394(a,1),17(a,1,2))]. 1398 x * K(x,(x / y) / x) != z | T(x,x / (x * y)) = z. [para(1394(a,1),208(a,1,2)),flip(b)]. 1399 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(63(a,1),1397(a,1,2,2,1)),flip(a)]. 1400 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(113(a,2),1399(a,1,2))]. 1402 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1400(a,2,2,2))]. 1403 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1402(a,1),897(a,1,2,1)),flip(a)]. 1404 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(987(a,1),1395(a,1,1,2,1))]. 1405 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1402(a,1),1403(a,1,1)),flip(a)]. 1406 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(15(a,1),1405(a,1,2)),flip(a)]. 1407 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,16,a(flip),b,1406,a)]. 1408 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(29(a,2),1065(a,1,2,1)),flip(a)]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(930(a,1),1408(a,1,2))]. 1410 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(18(a,1),1221(a,1,1,2,1,1)),flip(a)]. 1411 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(757,a,1410,a)]. 1413 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(160,a,1410,a(flip),b,742,a(flip)),flip(a)]. 1414 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1410(a,1,2,1,2))]. 1416 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1413(a,1,2,1,2)),flip(a)]. 1417 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1416,a,b,xx)]. 1418 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [para(118(a,1),1416(a,1,1)),flip(a)]. 1419 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(213,a,1418,a),flip(a)]. 1420 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1418,a(flip),b,118,a(flip))]. 1421 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1419(a,2),62(a,1,2,1))]. 1422 x \ T(x * (y / x),x) = T(y,x) / x. [para(67(a,1),1420(a,1,1,1)),flip(a)]. 1425 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1421(a,1,2,1,1,1))]. 1426 T(x * (y / x),x) = x * (T(y,x) / x). [para(67(a,1),1421(a,1,2,1,1)),flip(a)]. 1429 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(820(a,1),1425(a,1,2)),flip(a)]. 1430 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1417(a,1,2,1,2,1))]. 1431 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * (x * (1 / x)). [hyper(220,a,1090,a(flip),b,1429,a)]. 1432 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1422(a,1),1430(a,2,1))]. 1433 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1432(a,1),17(a,1,2)),flip(a)]. 1434 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(143(a,1),1433(a,2,2,1,1))]. 1435 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(757,a,1414,a)]. 1436 T(x,x * T(x \ 1,y)) = x. [hyper(160,a,628,a(flip),b,1414,a(flip))]. 1437 T(x,(x \ 1) * x) = x. [para(118(a,1),1436(a,1,2))]. 1438 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1436(a,1),668(a,1,1))]. 1439 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(346(a,1),1436(a,1,2))]. 1440 T(x \ 1,x \ T(x,y)) = x \ 1. [para(810(a,1),1436(a,1,2))]. 1441 T(1 / x,T(x,y) / x) = 1 / x. [para(833(a,1),1436(a,1,2))]. 1442 R(x,x \ 1,x) = T(x,x \ 1). [para(1437(a,1),665(a,1,1))]. 1443 T(x,x \ 1) \ x = (x \ 1) * x. [para(1442(a,1),326(a,1,1))]. 1444 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1440,a)]. 1445 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1440(a,1),118(a,1,2))]. 1446 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1441(a,1),354(a,1,1,2)),flip(a)]. 1448 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(160,a,1443,a(flip),b,905,a),flip(a)]. 1452 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [hyper(220,a,559,a(flip),b,1448,a(flip))]. 1453 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(220,a,246,a,b,1452,a),flip(a)]. 1454 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(220,a,119,a,b,1452,a),flip(a)]. 1455 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(66(a,1),1452(a,2,1,1))]. 1456 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1439(a,1),665(a,1,1))]. 1457 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1444(a,1),634(a,1,1)),flip(a)]. 1458 T(x,1 / x) = (x \ 1) \ 1. [para(66(a,1),1455(a,1,1))]. 1459 T(x,1 / x) = T(x,x \ 1). [hyper(220,a,119,a,b,1458,a)]. 1460 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(220,a,669,a,b,1458,a(flip)),flip(a)]. 1461 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1458(a,1),879(a,1,1,1))]. 1462 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1459(a,1),354(a,1,1,2))]. 1463 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1459(a,1),670(a,2,1))]. 1464 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(220,a,471,a,b,1460,a(flip)),flip(a)]. 1465 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(72,a,1460,a(flip),b,471,a)]. 1466 K(x,1 / x) * x = T(x,x \ 1). [hyper(220,a,119,a,b,1464,a)]. 1468 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(220,a,1024,a(flip),b,1465,a(flip)),flip(a)]. 1469 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(66(a,1),1465(a,1,1,1)),flip(a)]. 1470 (x \ 1) * K(x,1 / x) = 1 / x. [para(1468(a,1),17(a,1,2))]. 1471 (1 / x) / K(x,1 / x) = x \ 1. [para(1468(a,1),63(a,1,2))]. 1473 R(1 / x,x,1 / x) = x \ 1. [hyper(577,a,1471,a)]. 1474 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1473(a,1),306(a,1,1)),flip(a)]. 1475 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1474(a,1),139(a,1,1))]. 1476 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1463(a,1),609(a,1,2))]. 1477 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(66(a,1),1461(a,1,1,1,1)),flip(a)]. 1479 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(585,a,1462,a),flip(a)]. 1480 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(155(a,1),1479(a,1,1)),flip(a)]. 1481 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(220,a,633,a,b,1457,a),flip(a)]. 1482 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1481(a,2,1)),flip(a)]. 1483 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1482,a)]. 1485 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1482(a,1),213(a,1,2))]. 1486 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1483(a,1),346(a,1,2)),flip(a)]. 1487 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(118(a,1),1435(a,1,2)),flip(a)]. 1488 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(87,a,1487,a)]. 1490 (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. [para(119(a,2),1487(a,2,2,1,2)),flip(a)]. 1491 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(988(a,1),1488(a,1,1,2,1))]. 1492 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(155(a,1),1480(a,1,1)),flip(a)]. 1493 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1492(a,1),1122(a,1,1))]. 1494 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1493(a,1),1112(a,1,1,1))]. 1495 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(220,a,17,a(flip),b,1486,a)]. 1497 T(x,K(x \ 1,y)) = x. [hyper(86,a,1495,a)]. 1498 T(1 / x,K(x,y)) = 1 / x. [para(66(a,1),1497(a,1,2,1))]. 1502 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1498(a,1),651(a,1,1)),flip(a)]. 1503 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(220,a,304,a(flip),b,1502,a)]. 1504 T(x / y,K(y / x,z)) = x / y. [para(14(a,1),1503(a,1,1,1))]. 1505 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1504(a,1),175(a,1,1)),flip(a)]. 1506 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(220,a,1429,a,b,1411,a(flip)),flip(a)]. 1507 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1411(a,1,2,2,1,2,2))]. 1508 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1411(a,1,2,2,1,2,2)),flip(a)]. 1509 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(259(a,1),1411(a,2,1,2,1))]. 1510 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1411(a,1,2,2,1,2)),flip(a)]. 1512 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(804,a,1494,a)]. 1513 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(160,a,1508,a,b,17,a),flip(a)]. 1515 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(755(a,1),1508(a,1,1)),flip(a)]. 1516 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1508(a,1,1))]. 1517 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(905(a,1),1512(a,1,2,1))]. 1518 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1512(a,1),1392(a,1,2))]. 1519 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1517(a,1),1389(a,1,1))]. 1520 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(214,a,1519,a)]. 1522 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(220,a,1518,a,b,1520,a(flip)),flip(a)]. 1523 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1517(a,2),1522(a,1,2))]. 1524 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(55(a,1),1516(a,2,2,2,1,2))]. 1526 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(118(a,1),1524(a,2,2))]. 1527 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(257(a,1),1524(a,2,2))]. 1528 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,114,a(flip),b,1526,a)]. 1529 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(18(a,1),1527(a,1,1,1))]. 1531 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1528(a,1),23(a,1)),flip(a)]. 1532 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(349(a,1),1438(a,1,2)),flip(a)]. 1533 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(349(a,1),1532(a,1,2)),flip(a)]. 1534 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1533(a,1),49(a,1,1)),flip(a)]. 1535 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1533(a,1),1343(a,1,1))]. 1536 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(175(a,1),1535(a,1,2))]. 1537 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(220,a,1434,a(flip),b,1536,a)]. 1538 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(180(a,1),1491(a,1,1))]. 1540 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1230(a,2,2,1,2,2))]. 1542 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1353(a,2),1540(a,1,2))]. 1543 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1542(a,1,2,2,1,2)),flip(a)]. 1544 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1264(a,2,1))]. 1545 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1269(a,1,2,1)),flip(a)]. 1546 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1246(a,1),1545(a,1,2))]. 1547 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(78,a,1546,a)]. 1552 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(931(a,1),1358(a,1,2,1))]. 1553 (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. [para(792(a,1),1490(a,2,1))]. 1554 (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. [para(99(a,1),1553(a,2,1))]. 1555 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(118(a,1),1515(a,1,2)),flip(a)]. 1556 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1049(a,2),1515(a,1,2)),flip(a)]. 1557 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(220,a,1419,a,b,1555,a(flip)),flip(a)]. 1558 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(67(a,1),1557(a,1,1))]. 1560 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(16(a,1),1558(a,2,2,1,2)),flip(a)]. 1561 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1560(a,1,2,1)),flip(a)]. 1563 ((x \ 1) * y) \ T((x \ 1) * y,x) != z | L(K(x \ y,x),y,x \ 1) = z. [para(1560(a,1),682(a,1,2))]. 1564 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1561(a,1),118(a,1,2)),flip(a)]. 1565 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(220,a,180,a(flip),b,1564,a)]. 1567 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(60(a,1),1556(a,1,1,2,1,2)),flip(a)]. 1568 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(15(a,1),1567(a,2,1,2,1))]. 1570 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(20,a,224,a(flip),b,1568,a)]. 1572 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(220,a,1446,a(flip),b,842,a(flip)),flip(a)]. 1574 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1572(a,1),588(a,1,1))]. 1575 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(220,a,176,a(flip),b,1574,a(flip))]. 1576 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1575(a,1),1357(a,1,2))]. 1577 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(298(a,1),980(a,1,2)),flip(a)]. 1578 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1577(a,1),801(a,1,2,1))]. 1579 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1577(a,1),1353(a,2,2,1)),flip(a)]. 1580 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1101(a,1),211(a,1))]. 1581 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(220,a,392,a(flip),b,1139,a)]. 1582 T(x,x * (y * T(y \ 1,x))) = x. [para(1581(a,1),356(a,1,2))]. 1583 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1581(a,1),1046(a,1,1)),flip(a)]. 1585 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1169(a,1),1582(a,1,2,2))]. 1586 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(953(a,1),1585(a,1,2,2,2,2))]. 1587 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1586(a,1,2,2,2))]. 1588 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1587(a,1),41(a,1,1)),flip(a)]. 1589 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(220,a,900,a(flip),b,1588,a(flip)),flip(a)]. 1590 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1589(a,1),63(a,1,2))]. 1591 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1284(a,1),1589(a,1,1,2,1))]. 1592 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1128,a,1590,a)]. 1593 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1126,a,1590,a)]. 1594 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1590(a,2),617(a,1,2))]. 1595 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1593(a,1),344(a,1,1)),flip(a)]. 1596 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(220,a,1284,a(flip),b,1591,a)]. 1604 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(125(a,1),1059(a,1,2,1,2))]. 1606 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(586(a,1),1187(a,1,1)),flip(a)]. 1607 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(35(a,2),1214(a,1,2,1,1)),flip(a)]. 1608 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(742(a,1),1607(a,1,2))]. 1609 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(220,a,1513,a(flip),b,1608,a(flip))]. 1610 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(16(a,1),1609(a,1,2,1,2)),flip(a)]. 1611 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(155(a,1),1610(a,1,1,2,1,2)),flip(a)]. 1612 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(143(a,1),1611(a,1,2,1,2))]. 1613 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1247,a,1612,a),flip(a)]. 1614 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(213,a,1612,a),flip(a)]. 1615 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(78,a,1612,a)]. 1618 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(191(a,1),1613(a,2,1,2))]. 1619 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(257(a,1),1613(a,1,1)),flip(a)]. 1620 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(810(a,1),1613(a,1,1))]. 1621 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(887(a,2),1613(a,1,1)),flip(a)]. 1622 L(x,T(x,y) \ 1,T(x,y)) = x * T(K(x \ 1,x),y). [para(1619(a,1),1275(a,2,2))]. 1623 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,2),1618(a,1,2))]. 1624 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1453(a,1),1620(a,2,1,2,2))]. 1625 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1440(a,1),1615(a,1,2,1,2)),flip(a)]. 1626 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(220,a,1620,a,b,1624,a)]. 1627 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1626(a,1),634(a,1,1)),flip(a)]. 1628 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1625(a,2,2,1))]. 1630 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(143(a,1),1628(a,2,2))]. 1632 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(220,a,634,a(flip),b,1627,a)]. 1633 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),1632(a,2,1))]. 1634 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),1633(a,1,1))]. 1636 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [hyper(220,a,864,a(flip),b,1231,a(flip))]. 1637 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(15(a,1),1231(a,1,2,1,2)),flip(a)]. 1643 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(18(a,1),1363(a,1,1,2,1,1)),flip(a)]. 1645 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(160,a,1643,a(flip),b,862,a(flip)),flip(a)]. 1646 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1643,a(flip),b,1053,a),flip(a)]. 1647 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1643(a,1,2,1,2))]. 1648 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1643(a,1,2,1)),flip(a)]. 1651 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1648(a,1,1,2,1))]. 1653 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(496,a,1651,a)]. 1654 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(320,a,1651,a),flip(a)]. 1655 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,1651,a)]. 1656 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(72,a,90,a(flip),b,1651,a)]. 1657 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1654,a)]. 1658 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1657(a,1),214(a,1,1)),flip(b)]. 1659 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1653(a,1),274(a,1,2)),flip(b)]. 1660 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1655(a,1),886(a,1,1)),flip(a)]. 1661 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(220,a,753,a(flip),b,1660,a(flip)),flip(a)]. 1662 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1660(a,1),536(a,1,2))]. 1663 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,57,a(flip),b,1662,a)]. 1665 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(220,a,567,a(flip),b,1663,a(flip)),flip(a)]. 1666 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1645(a,1,2,1,2)),flip(a)]. 1669 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(143(a,1),1666(a,2,2,1,2))]. 1670 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1669,a)]. 1671 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1669(a,1),1426(a,2,2,1))]. 1672 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(66(a,1),1670(a,1,2,2,1))]. 1673 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(545(a,1),1670(a,1,2))]. 1674 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(985(a,1),1670(a,1,2))]. 1675 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1674(a,1),41(a,1,1)),flip(a)]. 1676 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1672(a,1),615(a,1,1,2))]. 1677 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1673(a,1),665(a,1,1))]. 1680 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(867,a,1647,a)]. 1684 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(220,a,120,a(flip),b,1661,a)]. 1685 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1684(a,1),17(a,1,2))]. 1686 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(72,a,14,a(flip),b,1685,a)]. 1687 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(304(a,1),1686(a,1,1)),flip(a)]. 1688 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(304(a,1),1687(a,1,2)),flip(a)]. 1690 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(63(a,1),1688(a,1,1)),flip(a)]. 1693 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(63(a,1),1690(a,1,2)),flip(a)]. 1694 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1693(a,1),1228(a,1,2,1,2))]. 1699 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1676(a,1),993(a,1,1))]. 1700 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(220,a,176,a(flip),b,1699,a(flip)),flip(a)]. 1704 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(548(a,1),1671(a,2,2))]. 1705 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(548(a,1),1704(a,1,1,2))]. 1706 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(151(a,1),1705(a,1,1,2))]. 1707 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(151(a,1),1706(a,2,2))]. 1708 T(x,x * (y / (x * y))) = x. [hyper(38,a,1707,a)]. 1709 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1708(a,1,2,2,2))]. 1710 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1709(a,1),175(a,1,1)),flip(a)]. 1711 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(220,a,120,a(flip),b,1710,a)]. 1712 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1711(a,1),1224(a,2,1,2))]. 1713 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1647(a,1),1680(a,1,2)),flip(a)]. 1714 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(985(a,1),1713(a,1,1)),flip(a)]. 1715 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1712(a,2,1))]. 1716 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(220,a,60,a(flip),b,1715,a)]. 1718 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1716(a,1),976(a,1,1)),flip(a)]. 1719 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(39,a,1718,a)]. 1721 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1719(a,1,1,2))]. 1722 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1721(a,1,2,2))]. 1723 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1722,a)]. 1724 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(220,a,1002,a(flip),b,1723,a(flip)),flip(a)]. 1727 L(x \ 1,x,x \ 1) = 1 / x. [para(128(a,1),1724(a,1,3))]. 1728 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(151(a,2),1724(a,1,3))]. 1729 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1724(a,1),297(a,1,2))]. 1730 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1727(a,1),302(a,1,2))]. 1731 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1727(a,1),1372(a,1,1,2)),flip(a)]. 1732 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(220,a,179,a,b,1730,a)]. 1733 T(1 / (1 / x),x \ 1) = x. [hyper(160,a,1159,a,b,1730,a(flip))]. 1735 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1733(a,1),41(a,1,1)),flip(a)]. 1736 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1469,a,b,1732,a(flip)),flip(a)]. 1737 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1192,a(flip),b,1732,a(flip)),flip(a)]. 1738 K(x \ 1,x) * (1 / x) = x \ 1. [para(1732(a,1),19(a,1,1))]. 1740 x * K(x \ 1,x) = 1 / (1 / x). [para(1737(a,1),17(a,1,2))]. 1742 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1738(a,1),103(a,1,1))]. 1743 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1738(a,1),105(a,2,1))]. 1744 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1738(a,1),114(a,1,2))]. 1745 K(x \ 1,x) * K(x,1 / x) = x * (x \ 1). [para(1738(a,1),1100(a,2,2))]. 1746 L(x,x \ 1,x) = 1 / (1 / x). [hyper(692,a,1740,a)]. 1750 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1746(a,1),47(a,1,1)),flip(a)]. 1751 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1746(a,1),697(a,2,1,2))]. 1753 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1728(a,1),302(a,1,2))]. 1756 K(x \ 1,x) * K(x,1 / x) = 1. [hyper(220,a,17,a(flip),b,1745,a)]. 1758 K(x,1 / x) = K(x,x \ 1). [hyper(20,a,357,a,b,1756,a)]. 1760 K(x,x \ 1) = x * (1 / x). [hyper(340,a,1758,a),flip(a)]. 1761 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(220,a,1465,a,b,1758,a(flip)),flip(a)]. 1762 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(220,a,581,a,b,1758,a(flip)),flip(a)]. 1763 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(220,a,1736,a(flip),b,1758,a(flip))]. 1764 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1758,a(flip),b,182,a(flip))]. 1765 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(63(a,1),1758(a,1,2)),flip(a)]. 1766 K(x,x \ 1) != y | x * (1 / x) = y. [para(1758(a,1),340(a,1))]. 1768 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1758(a,1),1464(a,1,1))]. 1769 K(x,x \ 1) * x = T(x,x \ 1). [para(1758(a,1),1466(a,1,1))]. 1770 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1758(a,1),1470(a,1,2))]. 1771 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(220,a,1475,a,b,1760,a),flip(a)]. 1772 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1760,a,b,899,a)]. 1774 x \ K(x,x \ 1) != y | 1 / x = y. [para(1760(a,2),209(a,1,2)),flip(b)]. 1775 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1760(a,2),1306(a,1,2))]. 1776 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1760(a,2),1310(a,1,2))]. 1777 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)). [para(1764(a,1),1053(a,1,2,1)),flip(a)]. 1782 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1769(a,1),103(a,1,1))]. 1783 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1769(a,1),396(a,1,2,2))]. 1784 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1485,a,1770,a)]. 1785 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1784(a,1),448(a,1,1))]. 1786 K(1 / x,x) = K(x \ 1,x). [para(66(a,1),1763(a,1,2))]. 1787 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(63(a,1),1786(a,1,1)),flip(a)]. 1789 K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1. [para(1787(a,1),339(a,1,1)),flip(a)]. 1790 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1787(a,1),1097(a,1,2,1))]. 1791 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(220,a,1765,a(flip),b,1789,a(flip))]. 1793 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1750(a,1),1538(a,1,1))]. 1794 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1040,a,1753,a)]. 1795 T(1 / (1 / x),y / (x * y)) = x. [para(151(a,1),1794(a,1,2))]. 1796 T(x,y / (x * y)) = T(x,x \ 1). [para(1795(a,1),1735(a,1,1)),flip(a)]. 1797 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(220,a,119,a(flip),b,1796,a)]. 1798 T(x,(x \ y) / y) = T(x,x \ 1). [para(17(a,1),1796(a,1,2,2))]. 1799 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1796(a,1),1225(a,2,1))]. 1800 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1797(a,1,2,2))]. 1801 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(1798(a,1),118(a,1,2))]. 1803 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),1800(a,1,2))]. 1804 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1800(a,1),345(a,1,1))]. 1805 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,549,a(flip),b,1803,a(flip)),flip(a)]. 1806 L(x,T(x,y) \ 1,T(x,y)) = (y * (1 / (1 / T(x,y)))) / y. [para(155(a,1),1751(a,1,1))]. 1807 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1087,a,1804,a)]. 1809 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1760(a,2),1731(a,2,1))]. 1810 (x * (1 / (1 / T(y,x)))) / x = y * T(K(y \ 1,y),x). [hyper(220,a,1622,a(flip),b,1806,a(flip))]. 1811 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * ((1 / (1 / T(y,x))) \ 1). [para(1810(a,1),1025(a,1,2))]. 1812 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1729(a,1),1771(a,1,2))]. 1813 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1812(a,1),17(a,1,2)),flip(a)]. 1816 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(880,a,1742,a(flip))]. 1817 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1787(a,1),1790(a,2,1))]. 1818 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,1817,a)]. 1819 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1373(a,1,2,1,2,2))]. 1820 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(((x / y) * y) \ (z * y),u,w). [hyper(271,a,1819,a),flip(a)]. 1821 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(220,a,864,a(flip),b,1819,a(flip)),flip(a)]. 1822 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(220,a,739,a(flip),b,1819,a(flip))]. 1824 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(160,a,1819,a(flip),b,864,a(flip)),flip(a)]. 1825 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(14(a,1),1819(a,1,2,1,2))]. 1827 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1824(a,1,2,1,2)),flip(a)]. 1828 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1827,a,b,xx)]. 1829 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1828(a,1,2,1,2,1)),flip(a)]. 1832 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(220,a,864,a(flip),b,1825,a(flip)),flip(a)]. 1834 T(x,x * L(x \ 1,y,z)) = x. [hyper(160,a,739,a(flip),b,1825,a(flip))]. 1835 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(160,a,1825,a(flip),b,1637,a),flip(a)]. 1836 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(160,a,1825,a(flip),b,395,a(flip))]. 1838 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1834,a)]. 1839 T(x,x * ((y * x) \ y)) = x. [para(150(a,1),1834(a,1,2,2))]. 1840 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(298(a,1),1834(a,1,2,2))]. 1841 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(534(a,1),1834(a,1,2))]. 1842 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(834(a,1),1839(a,1,2,2,1))]. 1843 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1840(a,1),614(a,1,2)),flip(a)]. 1844 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1840(a,1),1171(a,2,2,2))]. 1845 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1841(a,1),665(a,1,1))]. 1846 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(38,a,1842,a)]. 1848 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1727(a,1),1832(a,2,1,2))]. 1849 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1809(a,1),1848(a,1,2))]. 1850 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(20,a,103,a(flip),b,1849,a)]. 1851 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1760(a,2),1849(a,2,1))]. 1852 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1851(a,1,2,2)),flip(a)]. 1853 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),22(a,1))]. 1854 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(35(a,2),1851(a,1,2,2))]. 1855 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),209(a,1,2)),flip(b)]. 1856 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1763(a,1),1851(a,1,2,1))]. 1857 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1765(a,1),1851(a,1,2,1))]. 1858 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1852(a,1),22(a,1)),flip(a)]. 1859 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1850(a,1),22(a,1)),flip(a)]. 1860 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,1835,a)]. 1861 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(220,a,296,a(flip),b,1835,a(flip))]. 1862 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1835(a,1),22(a,1))]. 1863 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(642(a,1),1835(a,2,1,2))]. 1865 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(298(a,1),1860(a,1,2,1,2))]. 1866 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(834(a,1),1861(a,2,2,1))]. 1867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(917(a,1),1863(a,1,2))]. 1868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(141(a,1),1867(a,2,1,2))]. 1869 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(739(a,1),1822(a,1,1))]. 1870 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(72,a,90,a(flip),b,1869,a)]. 1871 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(294(a,1),1869(a,1,1,2,2)),flip(a)]. 1872 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(294(a,1),1871(a,1,2,2)),flip(a)]. 1873 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1760(a,2),1872(a,1,1,2))]. 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1760(a,2),1873(a,2,2))]. 1875 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,90,a(flip),b,1874,a)]. 1876 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1875(a,1),120(a,1,1))]. 1880 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(220,a,225,a(flip),b,1844,a)]. 1882 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1880(a,1),976(a,1,1)),flip(a)]. 1883 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(220,a,1241,a(flip),b,1882,a(flip)),flip(a)]. 1884 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(322,a,1883,a)]. 1885 L(x \ 1,y \ (y * x),(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1884(a,1,1,1))]. 1886 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1884(a,1,3))]. 1887 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1884(a,1),1346(a,1,2)),flip(a)]. 1888 L(x \ 1,x,(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1885(a,1,2))]. 1889 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(16(a,1),1888(a,2,2))]. 1890 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1889(a,1),297(a,1,2))]. 1891 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1889(a,1),302(a,1,2))]. 1893 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(150(a,2),1890(a,1,1,1)),flip(a)]. 1894 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1891(a,1),1256(a,2,1,1,2)),flip(a)]. 1895 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(500,a,1893,a)]. 1896 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(220,a,150,a(flip),b,1886,a(flip)),flip(a)]. 1897 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(220,a,1760,a,b,1887,a)]. 1898 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1897(a,1),17(a,1,2)),flip(a)]. 1899 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(330(a,1),1856(a,1,2,2)),flip(a)]. 1900 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1765(a,1),1857(a,2,1))]. 1901 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,1900,a)]. 1902 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(220,a,1743,a,b,1901,a(flip)),flip(a)]. 1903 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1576(a,1),1866(a,1,1)),flip(a)]. 1904 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(259(a,1),1375(a,1,2,1,2)),flip(a)]. 1905 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(155(a,1),1904(a,1,1)),flip(a)]. 1906 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(155(a,1),1905(a,1,2)),flip(a)]. 1907 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1906(a,1),1359(a,1,2,1)),flip(a)]. 1908 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(18(a,1),1907(a,2,2))]. 1909 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1908(a,1),17(a,1,2))]. 1912 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(545(a,1),1646(a,2,2,1))]. 1913 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(19(a,1),1820(a,2,2,1,1))]. 1914 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(87,a,1913,a)]. 1915 ((x / y) * L((x / y) \ x,z,u)) * y = x * L(y,z,u). [para(16(a,1),1913(a,2,2,1))]. 1916 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1915,a),flip(a)]. 1917 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [para(66(a,1),1915(a,1,1,2,1))]. 1918 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(78,a,1917,a)]. 1920 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1917,a),flip(a)]. 1921 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(18(a,1),1917(a,1,1,1))]. 1922 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(269,a,1920,a),flip(a)]. 1923 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1920,a)]. 1924 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1920(a,1),105(a,2,1))]. 1925 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1920(a,1),617(a,1,2))]. 1926 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1923(a,1),1353(a,1,2)),flip(a)]. 1927 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [para(18(a,1),1918(a,1,1,1))]. 1929 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(496,a,1921,a)]. 1930 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(320,a,1921,a),flip(a)]. 1931 ((x * y) * L(y,z,u)) / y = x * L(y,z,u). [hyper(87,a,1921,a)]. 1932 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(160,a,1930,a,b,17,a)]. 1934 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1927(a,1),886(a,1,1)),flip(a)]. 1935 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1929(a,1),274(a,1,2)),flip(b)]. 1936 ((x * y) * (1 / (1 / y))) / y = x * L(y,y \ 1,y). [para(1746(a,1),1931(a,1,1,2))]. 1938 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1934(a,1),536(a,1,2))]. 1940 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1916(a,1),1834(a,1,2))]. 1941 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1940(a,1),354(a,1,1,2)),flip(a)]. 1942 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(220,a,296,a(flip),b,1922,a)]. 1943 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1942(a,1),19(a,1,1))]. 1944 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1942(a,1),66(a,1,1))]. 1945 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(220,a,150,a(flip),b,1943,a)]. 1946 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1943(a,1),29(a,2,1)),flip(a)]. 1947 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1945(a,1),236(a,1,1))]. 1948 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(17(a,1),1944(a,1,1,2,1))]. 1949 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(298(a,1),1948(a,1,2))]. 1950 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1949(a,1),63(a,1,2))]. 1951 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(14(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1952 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(19(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1953 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1951(a,1,1)),flip(a)]. 1954 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(((x * y) / y) \ (z / y),u,w). [para(18(a,1),1952(a,1,1)),flip(a)]. 1955 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1894(a,1,1,1))]. 1957 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(x \ (z / y),u,w). [para(18(a,1),1954(a,2,2,1,1))]. 1958 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [para(864(a,1),1957(a,1,1))]. 1959 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1958(a,1),120(a,1,1)),flip(a)]. 1960 x \ (x * (T(y,x) * L(T(y,x) \ z,u,w))) = T(y * L(y \ ((x * z) / x),u,w),x). [para(1636(a,2),1959(a,1,2))]. 1961 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(734,a,802,a),flip(a)]. 1963 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1961(a,1,2,1,2,2)),flip(a)]. 1964 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(720(a,1),1961(a,2,1))]. 1965 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(271,a,1963,a),flip(a)]. 1966 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1963(a,1),271(a,1))]. 1967 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(220,a,1061,a(flip),b,1965,a(flip)),flip(a)]. 1968 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1965,a(flip))]. 1969 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(160,a,1968,a,b,17,a),flip(a)]. 1971 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(437(a,2),1967(a,2,1,2,1)),flip(a)]. 1972 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(948(a,1),1966(a,1))]. 1973 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(271,a,1964,a),flip(a)]. 1974 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(220,a,1390,a(flip),b,1964,a(flip))]. 1977 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1964(a,1,2,1,2,2))]. 1979 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(220,a,1390,a(flip),b,1977,a(flip))]. 1980 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(220,a,1061,a(flip),b,1977,a(flip)),flip(a)]. 1981 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(220,a,1060,a(flip),b,1977,a(flip)),flip(a)]. 1982 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(160,a,1977,a(flip),b,1543,a(flip))]. 1985 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1977(a,1),1967(a,1,2)),flip(a)]. 1986 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(220,a,1353,a(flip),b,1982,a),flip(a)]. 1987 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1213(a,1),1979(a,1,1)),flip(a)]. 1988 (x * ((y * (x \ 1)) / y)) * y = x * (y * ((x \ y) / y)). [para(17(a,1),1980(a,1,2,2,1)),flip(a)]. 1989 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1986(a,2,1,2,1))]. 1990 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(346(a,2),1986(a,2,1,2,1)),flip(a)]. 1991 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(905(a,1),1989(a,1,2,1))]. 1992 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(20,a,1868,a,b,1991,a),flip(a)]. 1994 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1760(a,2),1991(a,2,1))]. 1995 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1992(a,1),919(a,1,1))]. 1996 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1994(a,1),1523(a,1,2))]. 1997 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1996(a,1),22(a,1))]. 1998 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(220,a,911,a(flip),b,1995,a(flip))]. 1999 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(220,a,120,a(flip),b,1995,a(flip))]. 2000 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(1999(a,2),915(a,1))]. 2005 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1977(a,1),1981(a,1,2)),flip(a)]. 2006 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1353(a,2),2005(a,1,1))]. 2007 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1213(a,1),1987(a,1,2)),flip(a)]. 2008 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2007,a)]. 2009 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2008(a,1),730(a,1,1))]. 2010 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(220,a,219,a(flip),b,2009,a(flip))]. 2011 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2010(a,1),588(a,1,1))]. 2012 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(220,a,120,a(flip),b,2011,a(flip))]. 2013 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(220,a,29,a,b,2012,a),flip(a)]. 2014 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),2013(a,2,1,2)),flip(a)]. 2015 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2014(a,1),19(a,1,1))]. 2017 x / (1 / (1 / x)) = K(x,1 / x). [para(1029(a,1),2014(a,1,1))]. 2018 K(x,1 / x) * (1 / (1 / x)) = x. [para(2017(a,1),19(a,1,1))]. 2019 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,2018,a)]. 2020 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1758(a,1),2018(a,1,1))]. 2021 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2019(a,1),43(a,2,1))]. 2022 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(78,a,2020,a)]. 2023 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(2020(a,1),31(a,2,2,2))]. 2024 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2020(a,1),105(a,2,1))]. 2025 T(1 / x,K(y,x)) = 1 / x. [hyper(161,a,2015,a)]. 2026 K(1 / x,K(y,x)) = 1. [hyper(39,a,2025,a)]. 2027 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2025(a,1),175(a,1,1)),flip(a)]. 2028 K(x,K(y,x \ 1)) = 1. [para(63(a,1),2026(a,1,1))]. 2029 T(x,K(y,x \ 1)) = x. [hyper(40,a,2028,a)]. 2030 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2029(a,1),172(a,1,2,1)),flip(a)]. 2031 T(x \ 1,K(y,x)) = x \ 1. [hyper(220,a,120,a(flip),b,2027,a)]. 2033 ((x \ 1) * K(y,x)) / (x \ 1) = K(y,x). [para(2031(a,1),135(a,1,2))]. 2034 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2031(a,1),300(a,2,1))]. 2035 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2031(a,1),1612(a,1,1)),flip(a)]. 2037 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(220,a,859,a,b,2021,a(flip)),flip(a)]. 2038 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(17(a,1),2034(a,1,1,1))]. 2039 T(x \ y,K(z,y \ x)) = x \ y. [hyper(220,a,298,a(flip),b,2038,a)]. 2040 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2039(a,1),118(a,1,2))]. 2041 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(220,a,1775,a(flip),b,2030,a(flip))]. 2045 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2037(a,1),17(a,1,2))]. 2046 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1853,a,2041,a)]. 2047 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1758(a,1),2045(a,1,1))]. 2048 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(220,a,1477,a(flip),b,2046,a)]. 2049 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2022(a,2),2047(a,1,2,1))]. 2050 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2049(a,1),1068(a,1,1))]. 2051 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1791(a,1),2050(a,1,2))]. 2052 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1791(a,1),2051(a,2,1,2))]. 2053 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1740(a,1),2052(a,2,1))]. 2055 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(220,a,392,a(flip),b,1140,a)]. 2056 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(834(a,1),2055(a,2,2))]. 2057 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2056(a,1),1185(a,1,1)),flip(a)]. 2058 ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). [para(118(a,1),1510(a,2,2))]. 2059 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(628(a,1),1510(a,1,1)),flip(a)]. 2060 ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). [para(119(a,2),2058(a,2,2,1,2,1))]. 2061 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1133(a,1),1594(a,1,1))]. 2062 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(930(a,1),2061(a,1,1))]. 2063 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1590(a,1),2062(a,1,2))]. 2064 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(220,a,43,a,b,2063,a(flip)),flip(a)]. 2065 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1587(a,1),2064(a,1,1))]. 2066 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(220,a,930,a,b,2065,a(flip)),flip(a)]. 2067 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2065(a,1),1409(a,1,2))]. 2068 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(220,a,1595,a(flip),b,2066,a(flip))]. 2069 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1098(a,1),1899(a,2,2))]. 2070 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(220,a,1310,a(flip),b,1946,a(flip)),flip(a)]. 2071 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(220,a,183,a(flip),b,2069,a)]. 2072 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1763(a,1),2071(a,1,1)),flip(a)]. 2073 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(118(a,1),2072(a,1,1)),flip(a)]. 2074 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(626(a,1),2070(a,1,2)),flip(a)]. 2077 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(35(a,2),1217(a,1,1,2,2,1,2)),flip(a)]. 2079 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),1431(a,2,2))]. 2080 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(59(a,1),1506(a,1,1)),flip(a)]. 2081 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(118(a,1),2080(a,1,1))]. 2083 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),2081(a,1,1,1)),flip(a)]. 2085 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2083(a,2),23(a,1))]. 2086 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1581(a,1),1583(a,1,2)),flip(a)]. 2087 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(220,a,16,a(flip),b,2086,a)]. 2089 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(810(a,1),2087(a,1,1,2)),flip(a)]. 2090 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(825(a,2),2087(a,1,1,2)),flip(a)]. 2091 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(965,a,2089,a),flip(a)]. 2092 K(x,y) / (y \ 1) = y * K(x,y). [hyper(853,a,2090,a)]. 2095 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(66(a,1),2092(a,1,2)),flip(a)]. 2103 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(985(a,1),1714(a,1,2,1)),flip(a)]. 2104 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(71,a,58,a(flip),b,2103,a),flip(a)]. 2106 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1250(a,2),1846(a,2,2,1))]. 2109 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(209,a,1960,a)]. 2111 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(19(a,1),1973(a,2,2,1,2,1))]. 2112 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2111,a)]. 2113 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(14(a,1),2112(a,1,1,2,1,2,2)),flip(a)]. 2114 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2031(a,1),2035(a,2,2,1,1))]. 2115 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(220,a,810,a(flip),b,2114,a)]. 2117 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(810(a,1),2115(a,1,1))]. 2118 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2117(a,1),634(a,1,1)),flip(a)]. 2119 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(220,a,633,a,b,2118,a)]. 2120 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),2119(a,1,1))]. 2121 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,2120,a)]. 2122 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2120(a,1),118(a,1,2)),flip(a)]. 2124 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2120(a,1),213(a,1,2))]. 2126 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2121(a,1),213(a,1,2))]. 2127 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2121(a,1),171(a,1,2,1)),flip(a)]. 2132 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1763(a,1),2048(a,1,1))]. 2133 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(874(a,1),2132(a,1,2))]. 2134 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2056(a,1),2057(a,1,2,1)),flip(a)]. 2135 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(315,a,2073,a),flip(a)]. 2137 T(x * ((1 / x) * ((1 / x) \ (x \ (y * K(x,x \ 1))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),2079(a,1,1,2,2,2,2,2))]. 2138 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(59(a,1),2137(a,1,1))]. 2139 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(856,a,2138,a),flip(a)]. 2140 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(120(a,1),2138(a,2,1))]. 2142 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(220,a,1876,a(flip),b,2140,a(flip)),flip(a)]. 2144 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(66(a,1),2142(a,1,2,2,2)),flip(a)]. 2145 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(814,a,2139,a)]. 2146 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(364(a,1),2139(a,1,1,1)),flip(a)]. 2147 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(16(a,1),2145(a,1,2,1)),flip(a)]. 2148 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2147(a,2),1854(a,1,2))]. 2149 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(364(a,1),2146(a,1,1)),flip(a)]. 2150 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2149(a,2),1099(a,1,2))]. 2151 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(213,a,2148,a)]. 2153 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2151(a,2),22(a,1)),flip(a)]. 2156 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(213,a,2150,a)]. 2157 L(x,y,K(x \ 1,x)) = x. [hyper(388,a,2156,a)]. 2158 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2157(a,1),43(a,2,1))]. 2159 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1580,a,2158,a)]. 2160 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(865(a,1),2159(a,1,2)),flip(a)]. 2161 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(330(a,1),2144(a,1,1)),flip(a)]. 2162 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1786(a,1),2161(a,1,2,2))]. 2163 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2135(a,2),2162(a,1,2))]. 2164 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(462,a,2163,a),flip(a)]. 2165 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1763(a,1),2164(a,1,2))]. 2166 R(x,y,K(x \ 1,x)) = x. [hyper(418,a,2165,a)]. 2167 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2166(a,1),216(a,1,1))]. 2170 (x * y) * R((x * y) \ (y * z),u,w) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(748(a,1),745(a,1,2))]. 2171 x * (R(1 / T(y,x),z,u) * T(y,x)) = (y * x) * R((y * x) \ x,z,u). [para(15(a,1),2170(a,1,2,1,2)),flip(a)]. 2172 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(542(a,1),2171(a,1,2))]. 2173 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(160,a,1647,a(flip),b,2172,a),flip(a)]. 2174 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(220,a,554,a,b,2173,a(flip))]. 2175 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(812(a,1),2174(a,2,1,2))]. 2176 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1456(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(21,a,1614,a(flip),b,2176,a)]. 2179 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2177(a,1),120(a,1,1))]. 2180 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(220,a,1630,a(flip),b,2179,a(flip))]. 2182 (x \ T(x,y)) * (T(x,y) \ 1) = x \ 1. [para(2180(a,1),17(a,1,2))]. 2183 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(815(a,1),2180(a,1,1))]. 2184 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2180(a,1),1570(a,1,2,2))]. 2185 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(2182(a,1),209(a,1,2)),flip(b)]. 2186 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(78,a,2184,a),flip(a)]. 2188 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(66(a,1),2183(a,1,2))]. 2189 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2188(a,1),63(a,1,2))]. 2190 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1246(a,2),2188(a,1,1))]. 2191 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1410(a,1),1262(a,2,1))]. 2192 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1414(a,1),2191(a,2,1,1))]. 2193 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(220,a,33,a,b,2192,a),flip(a)]. 2194 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2192(a,2),429(a,1))]. 2195 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2193,a),flip(a)]. 2196 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(60(a,1),2193(a,2,1,2))]. 2197 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(989(a,1),2193(a,2,1,2))]. 2198 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1246(a,1),2194(a,1))]. 2199 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(213,a,2195,a),flip(a)]. 2200 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2196(a,1),114(a,1,1))]. 2201 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(747,a,1270,a),flip(a)]. 2202 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(628(a,1),2201(a,2,2))]. 2203 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(388,a,2202,a)]. 2205 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2203,a),flip(a)]. 2206 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(60(a,1),2203(a,2,1,2))]. 2207 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(257(a,1),2203(a,1,1)),flip(a)]. 2208 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(810(a,1),2203(a,1,1))]. 2209 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1932(a,2),2207(a,1,1))]. 2210 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2157(a,1),2209(a,1,1,1,2)),flip(a)]. 2211 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(120(a,1),2210(a,2,1))]. 2212 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2211(a,1),103(a,1,2))]. 2213 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(18(a,1),2208(a,2,1,2))]. 2215 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(160,a,2212,a,b,xx)]. 2217 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(220,a,1941,a(flip),b,1925,a(flip)),flip(a)]. 2219 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2217(a,1),720(a,1,1)),flip(a)]. 2220 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(220,a,531,a(flip),b,2219,a)]. 2221 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(220,a,1926,a(flip),b,2220,a(flip))]. 2223 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1534(a,1),1043(a,1,1))]. 2224 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(740(a,1),1089(a,1,2)),flip(a)]. 2225 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),1279(a,1,2,1,1))]. 2226 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2205(a,1),1623(a,1,1))]. 2227 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(257(a,1),2226(a,1,1,1))]. 2228 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,1),2227(a,1,2))]. 2229 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(220,a,43,a,b,2228,a(flip)),flip(a)]. 2230 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1297(a,1),2229(a,2,1))]. 2231 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1912(a,1,1))]. 2232 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2231(a,1,2,1,1))]. 2235 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(220,a,1821,a(flip),b,2225,a)]. 2236 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(873(a,1),2235(a,2,1))]. 2237 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(220,a,425,a(flip),b,702,a)]. 2238 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(867,a,2237,a)]. 2239 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1442(a,1),2238(a,2,1,1))]. 2242 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),1694(a,1,2,1)),flip(a)]. 2246 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(220,a,1846,a(flip),b,2106,a(flip))]. 2247 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2190(a,1),2246(a,1,2))]. 2248 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(220,a,1606,a(flip),b,2247,a(flip))]. 2249 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1834(a,1),2213(a,1,1,2)),flip(a)]. 2250 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(55(a,1),2249(a,2,1))]. 2251 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(220,a,381,a(flip),b,2250,a)]. 2254 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2251(a,1),234(a,1,2)),flip(a)]. 2255 ((x * L(x \ 1,y,z)) \ x) \ x = x * L(x \ 1,y,z). [hyper(71,a,15,a(flip),b,2254,a)]. 2256 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2255(a,1),86(a,1,2)),flip(b)]. 2257 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1665(a,1),1360(a,1,2,1))]. 2258 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(18(a,1),2257(a,1,2)),flip(a)]. 2260 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2189(a,1),1273(a,1,1,2))]. 2261 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(833(a,1),2260(a,1,1,2)),flip(a)]. 2262 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(838(a,1),2261(a,2,1))]. 2263 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(586(a,1),2262(a,1,1))]. 2264 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(714(a,1),1578(a,2,1))]. 2265 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(220,a,2224,a(flip),b,2264,a)]. 2266 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1950(a,1),1579(a,2,2,1))]. 2267 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(18(a,1),2266(a,2,2))]. 2268 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(220,a,2265,a(flip),b,2267,a(flip)),flip(a)]. 2270 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2268(a,1),17(a,1,2))]. 2271 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((1 / x) \ y,z,u)). [para(1764(a,1),1777(a,2,2,2,1,1))]. 2272 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * (R(y * x,z,u) / x). [para(983(a,1),2271(a,2,2))]. 2273 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(931(a,1),1990(a,2,2,1))]. 2274 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1361(a,1),2273(a,1,1)),flip(a)]. 2275 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(220,a,1552,a(flip),b,2274,a(flip)),flip(a)]. 2276 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(220,a,1758,a(flip),b,2275,a(flip)),flip(a)]. 2277 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,1903,a,b,2276,a),flip(a)]. 2278 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1760,a(flip),b,2277,a)]. 2279 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,2248,a(flip),b,2277,a(flip)),flip(a)]. 2280 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2278(a,1),17(a,1,2))]. 2281 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(191(a,1),2278(a,1,2))]. 2282 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(220,a,2263,a(flip),b,2279,a(flip))]. 2283 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1164(a,1),2281(a,1,1))]. 2284 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(2185,a,2283,a),flip(a)]. 2285 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2284(a,1),66(a,1,1)),flip(a)]. 2287 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(256(a,1),2284(a,1,2,1)),flip(a)]. 2288 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(220,a,560,a(flip),b,2285,a(flip))]. 2290 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2287(a,1),63(a,1,2))]. 2291 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(66(a,1),2288(a,2,1,1))]. 2292 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2288(a,2),118(a,1,2))]. 2293 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(120(a,1),2288(a,1,1,1)),flip(a)]. 2295 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(220,a,1740,a,b,2290,a(flip)),flip(a)]. 2297 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(629,a,2292,a)]. 2298 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(120(a,1),2292(a,1,2,1,1)),flip(a)]. 2299 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(441(a,1),2292(a,1,2,1,1)),flip(a)]. 2300 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(220,a,119,a,b,2297,a)]. 2301 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(220,a,912,a,b,2297,a(flip)),flip(a)]. 2302 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2293(a,1),155(a,1,1,2))]. 2306 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2301(a,1),17(a,1,2))]. 2308 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(573,a,2306,a)]. 2309 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1087,a,2298,a)]. 2312 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2309(a,2,1,1))]. 2313 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2312(a,2),255(a,1))]. 2314 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2313,a,1807,a),flip(a)]. 2315 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2314(a,1),118(a,1,2))]. 2318 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. [para(628(a,1),2060(a,1,1)),flip(a)]. 2319 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. [para(792(a,1),2318(a,2,1,2))]. 2320 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. [para(99(a,1),2319(a,2,1,2))]. 2321 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1166(a,1,2,1,1))]. 2322 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(867,a,2321,a),flip(a)]. 2323 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(860(a,1),2322(a,2,2))]. 2324 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(388,a,2323,a),flip(a)]. 2325 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(220,a,981,a(flip),b,2324,a(flip))]. 2326 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1845(a,1),2325(a,1,1,2)),flip(a)]. 2327 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(220,a,2206,a(flip),b,2326,a)]. 2328 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,179,a(flip),b,2327,a)]. 2330 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(66(a,1),2328(a,1,1))]. 2331 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(874(a,1),2330(a,1,2))]. 2332 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2331(a,1),19(a,1,1))]. 2333 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2256,a,2332,a)]. 2334 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1916(a,1),2333(a,1,1)),flip(a)]. 2335 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(220,a,1967,a(flip),b,1971,a)]. 2336 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1448(a,1),2197(a,1,1,2,1))]. 2337 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1675(a,1),2336(a,1,1,2)),flip(a)]. 2339 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(31(a,2),1347(a,2,2,1,1))]. 2340 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(863(a,1),2339(a,1,2))]. 2341 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(739(a,1),2340(a,1,2,2))]. 2342 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(396,a,2341,a),flip(a)]. 2344 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(642(a,1),2342(a,2,1,2))]. 2345 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1924(a,1),2342(a,1,2))]. 2346 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1301(a,1),2344(a,1,2))]. 2347 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(141(a,1),2346(a,2,1,2))]. 2348 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1760(a,2),2347(a,2,1))]. 2350 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(15(a,1),2345(a,1,2,2)),flip(a)]. 2351 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2221(a,1),2350(a,1,1)),flip(a)]. 2352 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(33(a,2),1365(a,2,2,1,1))]. 2353 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1643(a,1),2352(a,1,1))]. 2354 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1647(a,1),2353(a,1,1,1))]. 2355 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(429,a,2354,a),flip(a)]. 2356 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(220,a,992,a(flip),b,2355,a(flip))]. 2357 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(553(a,1),2355(a,2,1,2))]. 2358 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,2357,a(flip))]. 2359 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(14(a,1),2358(a,1,1,2,1)),flip(a)]. 2360 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1677(a,1),2356(a,1,1,2)),flip(a)]. 2361 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,2199,a(flip),b,2360,a)]. 2363 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(114(a,1),1368(a,1,1,1,2,2)),flip(a)]. 2364 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(220,a,720,a(flip),b,2363,a)]. 2365 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(220,a,1964,a(flip),b,2364,a)]. 2366 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(720(a,1),2365(a,1,1))]. 2367 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1977(a,1),2366(a,2,1))]. 2368 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,114,a,b,2367,a)]. 2369 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1354,a,2368,a),flip(a)]. 2370 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2368(a,1,2,1)),flip(a)]. 2371 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,1760,a,b,2370,a)]. 2372 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(987(a,1),2371(a,1,1,2,1))]. 2373 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1393(a,1,2,1,2,1))]. 2374 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(220,a,1060,a(flip),b,2373,a(flip))]. 2375 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1390(a,1),2374(a,2,2))]. 2376 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(388,a,2375,a),flip(a)]. 2377 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,2375,a)]. 2378 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2376(a,1,2,1)),flip(a)]. 2379 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,1760,a,b,2378,a)]. 2380 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1926(a,1),2379(a,1,1))]. 2381 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,2351,a,b,2380,a(flip)),flip(a)]. 2382 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1760,a(flip),b,2381,a)]. 2383 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(220,a,2334,a,b,2382,a(flip)),flip(a)]. 2384 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2383(a,1),63(a,1,2)),flip(a)]. 2385 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(63(a,1),2383(a,1,1,1,2)),flip(a)]. 2387 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(217(a,1),2384(a,2,2,2))]. 2389 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2385(a,1),66(a,1,1))]. 2390 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(150(a,1),2385(a,1,2)),flip(a)]. 2391 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2390(a,1),63(a,1,2)),flip(a)]. 2392 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(17(a,1),2391(a,2,2,2,1))]. 2393 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(63(a,1),2391(a,1,1))]. 2395 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(220,a,2270,a,b,2392,a(flip)),flip(a)]. 2396 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2392(a,1),694(a,1,1))]. 2397 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(20,a,1740,a,b,2395,a),flip(a)]. 2398 (x \ (x * y)) * K(L(y \ 1,y,x),x \ (x * y)) = 1 / (1 / (x \ (x * y))). [para(150(a,2),2395(a,1,2,1))]. 2399 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(220,a,580,a(flip),b,2397,a)]. 2400 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(160,a,2396,a,b,xx)]. 2401 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(21,a,1843,a,b,2396,a),flip(a)]. 2403 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1251(a,2),2400(a,1,1,2,2))]. 2404 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2400(a,1),2287(a,1,1)),flip(a)]. 2405 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),2404(a,1,2,2))]. 2406 1 / T(K(x,y),(x * y) \ (y * x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2404(a,1,2,1))]. 2407 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(2404(a,1),66(a,1,1)),flip(a)]. 2408 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(66(a,1),2404(a,1,2,2))]. 2409 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2407(a,1),1170(a,1,2)),flip(a)]. 2410 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1251(a,2),2407(a,1,1))]. 2411 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2407(a,2),2302(a,1,1,2))]. 2412 ((x \ (x / y)) \ 1) \ 1 != z | T(x \ (x / y),y) = z. [para(2408(a,1),207(a,1,1)),flip(b)]. 2413 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2401(a,1),1898(a,1,2)),flip(a)]. 2414 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(583,a,2411,a)]. 2415 T(x / y,y / x) = T(x / y,x \ y). [hyper(220,a,1800,a,b,2414,a),flip(a)]. 2418 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2415(a,1),175(a,1,1))]. 2419 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(220,a,175,a(flip),b,2418,a(flip))]. 2420 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(220,a,2407,a(flip),b,2419,a)]. 2421 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(63(a,1),2420(a,1,2))]. 2425 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2399(a,1),1172(a,1,2))]. 2427 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2397(a,1),2409(a,1,2))]. 2428 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2387(a,1),103(a,1,2))]. 2429 1 / T(K(x,y),K(y,x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2406(a,1,2,2))]. 2430 1 / T(K(x,y),K(y,x)) = K(x,y) \ 1. [para(29(a,2),2429(a,2,1))]. 2432 1 / K(x,y) = K(x,y) \ 1. [para(2120(a,1),2430(a,1,2))]. 2433 (K(x,y) \ 1) * K(x,y) = 1. [para(2432(a,1),19(a,1,1))]. 2434 1 / (1 / K(x,y)) = K(x,y). [para(2432(a,2),63(a,1,2))]. 2435 (K(x,y) \ 1) \ 1 = K(x,y). [para(2432(a,1),66(a,1,1))]. 2439 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2434(a,1),2287(a,1,1,1)),flip(a)]. 2442 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2434(a,1),2403(a,1,1))]. 2443 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(220,a,2442,a(flip),b,2410,a(flip))]. 2444 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2443(a,1),63(a,1,2))]. 2445 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(220,a,2186,a,b,2444,a),flip(a)]. 2446 x * K(L(x \ 1,x,y),y \ (y * x)) = 1 / (1 / (y \ (y * x))). [para(16(a,1),2398(a,1,1))]. 2447 1 / (1 / (x \ (x * y))) = y * K(L(y \ 1,y,x),y). [para(16(a,1),2446(a,1,2,2)),flip(a)]. 2448 x * K(L(x \ 1,x,y),x) = 1 / (1 / x). [para(16(a,1),2447(a,1,2,2)),flip(a)]. 2449 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(20,a,1740,a,b,2448,a)]. 2450 K((x * y) \ x,y) = K(y \ 1,y). [para(150(a,1),2449(a,1,1))]. 2452 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(118(a,1),2450(a,1,1,1)),flip(a)]. 2453 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [para(2450(a,1),98(a,1,2))]. 2455 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(35(a,1),2452(a,2,2)),flip(a)]. 2456 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(220,a,295,a,b,2453,a)]. 2458 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2455(a,1),2427(a,1,2)),flip(a)]. 2459 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(220,a,1895,a,b,2456,a)]. 2460 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,2133,a,b,2459,a),flip(a)]. 2461 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(179(a,1),2460(a,1,1))]. 2462 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,1869,a,b,2461,a(flip)),flip(a)]. 2463 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(21,a,2453,a(flip),b,2462,a),flip(a)]. 2464 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(150(a,1),2463(a,2,2,2)),flip(a)]. 2465 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(220,a,15,a,b,2464,a)]. 2467 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1947,a,2465,a(flip))]. 2468 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2467,a(flip),b,2074,a(flip)),flip(a)]. 2470 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(220,a,119,a,b,2468,a)]. 2471 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2468,a(flip),b,1955,a),flip(a)]. 2474 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(220,a,1761,a(flip),b,2471,a)]. 2476 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),2474(a,1,2,1)),flip(a)]. 2477 K(x,y \ (y / x)) = K(x,x \ 1). [para(19(a,1),2474(a,1,2,1))]. 2479 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2474(a,1),2425(a,1,2))]. 2481 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(220,a,581,a,b,2477,a(flip)),flip(a)]. 2483 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2476(a,1),2413(a,1,2))]. 2484 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2468(a,1),2479(a,2,2))]. 2485 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2470(a,1),2479(a,2,2))]. 2487 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(271,a,2484,a),flip(a)]. 2488 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(220,a,1874,a,b,2484,a(flip)),flip(a)]. 2489 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(118(a,1),2484(a,1,1))]. 2491 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(271,a,2485,a),flip(a)]. 2492 x * K(x,x \ 1) = T(x,x \ 1). [hyper(2153,a,2485,a(flip))]. 2493 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(71,a,2485,a(flip),b,1874,a)]. 2494 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(220,a,2300,a,b,2492,a),flip(a)]. 2495 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2492(a,1),33(a,2,1,1)),flip(a)]. 2496 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1997,a,2494,a)]. 2497 T(x,K(y,y \ 1)) = x. [hyper(38,a,2496,a)]. 2498 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2496,a(flip),b,1994,a)]. 2499 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2496(a,1),118(a,1,2)),flip(a)]. 2501 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2496(a,1),213(a,1,2))]. 2505 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2497(a,1),162(a,1,2))]. 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2497(a,1),213(a,1,2))]. 2508 T(x,K(y \ 1,y)) = x. [para(1763(a,1),2497(a,1,2))]. 2513 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2085,a,2508,a),flip(a)]. 2515 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(38,a,2508,a)]. 2516 (x * K(y \ 1,y)) / x = K(y \ 1,y). [hyper(72,a,2215,a(flip),b,2508,a(flip))]. 2518 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2508(a,1),213(a,1,2))]. 2521 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(220,a,1619,a,b,2515,a(flip)),flip(a)]. 2522 T((x \ 1) * x,y) = K(x \ 1,x). [para(179(a,1),2515(a,1,1))]. 2523 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2515(a,1),213(a,1,2))]. 2525 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2515(a,1),2230(a,1,1))]. 2526 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(220,a,2485,a(flip),b,2499,a)]. 2527 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(220,a,2484,a(flip),b,2499,a)]. 2528 (K(x,x \ 1) * y) / z = (y * K(x,x \ 1)) / z. [hyper(72,a,2499,a,b,19,a)]. 2530 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2499(a,2),33(a,2,2)),flip(a)]. 2531 R(x,K(y,y \ 1),z) * (K(y,y \ 1) * z) = (K(y,y \ 1) * x) * z. [para(2499(a,2),114(a,2,1))]. 2534 (K(x \ 1,x) * y) * z = (y * K(x \ 1,x)) * z. [hyper(25,a,2513,a)]. 2535 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(24,a,2513,a)]. 2537 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2513(a,1),22(a,2))]. 2539 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2513(a,2),537(a,1,1))]. 2540 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2513(a,1),654(a,1,2))]. 2543 K(x \ (x / ((y * x) / y)),x) = K(x \ 1,x). [hyper(220,a,1276,a,b,2516,a(flip)),flip(a)]. 2544 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2516(a,1),271(a,1,1,1))]. 2547 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2521(a,1),1252(a,1,1))]. 2548 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2521(a,2),1740(a,1,2))]. 2549 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2288(a,1),2487(a,1,2))]. 2550 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2306,a(flip),b,2488,a),flip(a)]. 2552 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2488(a,1),23(a,1))]. 2554 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1768(a,2),2488(a,2,2))]. 2555 L(x,K(x,x \ 1),y) = x. [hyper(1783,a,2493,a)]. 2557 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2555(a,1),2384(a,2,2,2))]. 2559 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(220,a,1801,a(flip),b,2526,a)]. 2562 K(x,x \ 1) * (y * x) != z | y * T(x,x \ 1) = z. [para(2527(a,2),573(a,1))]. 2567 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(220,a,2023,a(flip),b,2557,a(flip)),flip(a)]. 2569 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2567(a,1),266(a,1,2)),flip(a)]. 2572 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2481(a,1),2483(a,1,2))]. 2580 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(20,a,1909,a,b,2550,a),flip(a)]. 2581 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(220,a,2496,a,b,2580,a),flip(a)]. 2583 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2581(a,1),146(a,1)),flip(b)]. 2584 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2282(a,1),2581(a,1,1))]. 2585 R(x,K(y,y \ 1),y) = x. [hyper(418,a,2554,a)]. 2586 R(x,K(y \ 1,y),1 / y) = x. [para(1763(a,1),2585(a,1,2))]. 2587 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2586(a,1),1744(a,1,1)),flip(a)]. 2588 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(72,a,19,a(flip),b,2587,a),flip(a)]. 2589 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,1155,a(flip),b,2587,a)]. 2591 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2523,a,2588,a)]. 2593 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1531,a,2589,a)]. 2594 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1022,a,2589,a)]. 2596 R(x / (1 / y),y \ 1,y) = x * y. [hyper(984,a,2593,a)]. 2597 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(876,a,2593,a),flip(a)]. 2598 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2593(a,1),19(a,1,1))]. 2599 R((x * (y / (1 / z))) / x,z \ 1,z) = (x * (y * z)) / x. [hyper(220,a,732,a(flip),b,2597,a(flip))]. 2603 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2014(a,1),2596(a,1,1)),flip(a)]. 2605 R(x / (1 / y),y \ 1,y) != z | x * y = z. [para(2598(a,1),271(a,1))]. 2606 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2587(a,1),2598(a,1,1)),flip(a)]. 2608 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1005(a,1),2606(a,2,1))]. 2610 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(220,a,2569,a(flip),b,2572,a(flip))]. 2611 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2569,a(flip),b,2572,a(flip)),flip(a)]. 2613 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(63(a,1),2610(a,1,2,2,2,2)),flip(a)]. 2614 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(63(a,1),2611(a,2,2,2,2))]. 2615 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2611(a,1),66(a,1,1))]. 2618 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2613(a,2,2,2,2))]. 2620 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(136(a,1),2615(a,1,1,2,2)),flip(a)]. 2622 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2393(a,2),2618(a,1,2))]. 2623 x / L(y,y \ 1,x) = x * (1 / y). [para(63(a,1),2622(a,2,2,2))]. 2625 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2623(a,1),66(a,1,1)),flip(a)]. 2626 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2623(a,2),580(a,1,1,2))]. 2628 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(220,a,153,a,b,2625,a),flip(a)]. 2629 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(220,a,2203,a,b,2626,a(flip)),flip(a)]. 2630 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(66(a,1),2629(a,1,2))]. 2632 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2620(a,1),66(a,1,1))]. 2633 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(2412,a,2632,a)]. 2634 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2633(a,2),17(a,1,2))]. 2637 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(220,a,973,a,b,2634,a(flip)),flip(a)]. 2638 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2637(a,1),1527(a,1,1))]. 2639 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2638(a,1,1)),flip(a)]. 2640 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(568(a,1),2638(a,1,1)),flip(a)]. 2641 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1067(a,1),2638(a,1,1)),flip(a)]. 2642 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(21,a,428,a,b,2639,a)]. 2643 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(21,a,1529,a(flip),b,2639,a)]. 2644 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2523,a,2640,a)]. 2645 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2640(a,1),23(a,1)),flip(a)]. 2646 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2640(a,1),2587(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2552,a,2643,a)]. 2648 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2488,a(flip),b,2643,a)]. 2649 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [hyper(220,a,2534,a,b,2643,a(flip)),flip(a)]. 2650 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2501,a,2647,a)]. 2652 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(21,a,2569,a,b,2647,a)]. 2653 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(21,a,2499,a(flip),b,2647,a)]. 2655 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(220,a,2534,a,b,2647,a(flip)),flip(a)]. 2656 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(71,a,2647,a(flip),b,2534,a)]. 2657 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(21,a,2534,a,b,2647,a(flip)),flip(a)]. 2660 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2589(a,1),2647(a,1,1))]. 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2648(a,1),2537(a,2)),flip(b)]. 2666 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(220,a,2535,a,b,2650,a(flip)),flip(a)]. 2667 K(x \ 1,x) * (y * K(x,x \ 1)) = T(y,K(x,x \ 1)). [hyper(160,a,2650,a(flip),b,2535,a),flip(a)]. 2668 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(71,a,2650,a(flip),b,2535,a)]. 2669 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(20,a,2535,a,b,2650,a(flip)),flip(a)]. 2671 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2650(a,1),105(a,2,2))]. 2673 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2589(a,1),2650(a,1,2))]. 2674 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(71,a,2653,a(flip),b,2513,a)]. 2675 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2653(a,1),23(a,1)),flip(a)]. 2677 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2653(a,1),2537(a,2)),flip(b)]. 2678 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2653(a,1),2587(a,1,1)),flip(a)]. 2679 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(21,a,1813,a(flip),b,2655,a)]. 2683 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2655(a,1),2505(a,2))]. 2688 K(x,x \ 1) * R(K(x \ 1,x) * (x * y),z,u) = x * (R(y * x,z,u) / x). [para(2668(a,1),2272(a,1,2,1))]. 2690 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2674(a,1),2236(a,1,2,1))]. 2693 (x * (1 / (1 / y))) / y = x * K(y \ 1,y). [para(18(a,1),2652(a,1,1)),flip(a)]. 2697 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2660(a,1),421(a,1,1))]. 2699 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(19(a,1),2673(a,1,2)),flip(a)]. 2700 (x * y) * K(y \ 1,y) = x * L(y,y \ 1,y). [hyper(220,a,1936,a(flip),b,2693,a(flip))]. 2701 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(431,a,2642,a)]. 2703 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(220,a,2597,a,b,2701,a)]. 2704 (x * (y \ 1)) * T(y,y \ 1) = R(x,1 / y,y). [hyper(781,a,2703,a)]. 2705 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1452(a,2),2703(a,1,3))]. 2707 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,1805,a(flip),b,2679,a)]. 2708 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1746(a,1),2700(a,2,2))]. 2711 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2523,a,2708,a)]. 2713 R(x / (y \ 1),1 / y,y) = x * T(y,y \ 1). [hyper(271,a,2704,a),flip(a)]. 2714 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2713(a,1),177(a,1,1))]. 2715 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2315(a,1),2646(a,1,1)),flip(a)]. 2717 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(220,a,2275,a,b,2584,a(flip))]. 2720 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(21,a,1768,a,b,2707,a),flip(a)]. 2721 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y \ 1,y) \ 1. [para(2720(a,1),1789(a,2,1))]. 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2583,a,2717,a)]. 2724 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(191(a,1),2722(a,2,2))]. 2725 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(220,a,2282,a(flip),b,2724,a(flip)),flip(a)]. 2732 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(833(a,1),2630(a,1,1))]. 2733 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(220,a,716,a(flip),b,2732,a(flip))]. 2734 T(K(1 / (1 / x),y),x) = K(x,y). [para(2733(a,2),154(a,1,1))]. 2736 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(191(a,1),2734(a,1,1,1,2))]. 2737 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(63(a,1),2736(a,1,1,1))]. 2738 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(220,a,1634,a(flip),b,2737,a(flip))]. 2739 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(119(a,1),2738(a,1,1)),flip(a)]. 2744 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2282(a,1),2489(a,1,2))]. 2745 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(220,a,2292,a(flip),b,2744,a)]. 2746 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2725(a,1),2745(a,1,2))]. 2747 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(63(a,1),2705(a,2,2))]. 2748 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(119(a,2),2747(a,1,2))]. 2750 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(192(a,1),2549(a,1,1)),flip(a)]. 2751 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y,y \ 1). [hyper(220,a,339,a(flip),b,2721,a)]. 2752 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(220,a,1765,a(flip),b,2751,a(flip)),flip(a)]. 2753 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2752(a,1),1799(a,1,1))]. 2754 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(555,a,2753,a),flip(a)]. 2755 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(220,a,240,a(flip),b,2753,a)]. 2756 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(220,a,1852,a(flip),b,2753,a(flip)),flip(a)]. 2757 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2753,a(flip),b,1852,a(flip))]. 2758 L(x,y,K(y,y \ 1)) = x. [hyper(20,a,1782,a,b,2753,a(flip)),flip(a)]. 2761 K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x). [para(118(a,1),2753(a,1,2))]. 2765 L(x,1 / y,K(y \ 1,y)) = x. [para(1763(a,1),2758(a,1,3))]. 2766 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(220,a,1902,a(flip),b,2765,a(flip)),flip(a)]. 2767 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(220,a,1743,a(flip),b,2765,a(flip)),flip(a)]. 2768 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1762(a,1),2765(a,1,3))]. 2769 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2765(a,1),1742(a,1,2)),flip(a)]. 2770 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2765(a,1),1816(a,1,1,2))]. 2771 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(220,a,2024,a(flip),b,2768,a(flip)),flip(a)]. 2773 (1 / x) * (x * y) = L(y,x,x \ 1). [para(16(a,1),2770(a,1,1)),flip(a)]. 2774 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(35(a,2),2770(a,1,1))]. 2775 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(331(a,1),2770(a,1,1))]. 2776 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2770(a,1),529(a,1,2))]. 2777 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(2770(a,1),508(a,1,2))]. 2778 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2770(a,1),2160(a,1,2))]. 2780 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,2773,a)]. 2781 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2773(a,1),237(a,1,1))]. 2784 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(926,a,2754,a),flip(a)]. 2785 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(592,a,2754,a)]. 2786 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(71,a,2650,a(flip),b,2754,a),flip(a)]. 2787 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2683,a,2755,a)]. 2788 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2506,a,2755,a)]. 2795 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2499(a,1),2756(a,1,2))]. 2796 R(x,K(x,x \ 1),y) = x. [hyper(220,a,2495,a(flip),b,2757,a(flip)),flip(a)]. 2798 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1763(a,1),2796(a,1,2))]. 2799 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2798(a,1),2195(a,1,1)),flip(a)]. 2800 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2677,a,2766,a)]. 2803 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2766(a,1),1900(a,1,2))]. 2806 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y. [para(2767(a,2),17(a,1,2))]. 2807 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2767(a,1),1509(a,1,2,2,1,2))]. 2808 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2677,a,2769,a)]. 2809 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2518,a,2769,a)]. 2810 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2769(a,1),33(a,2,2)),flip(a)]. 2812 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2769(a,1),390(a,1,1))]. 2815 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1855,a,2771,a)]. 2817 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2771(a,1),17(a,1,2))]. 2818 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1435(a,1),2777(a,1,2))]. 2819 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2683,a,2784,a)]. 2822 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(71,a,2666,a(flip),b,2785,a),flip(a)]. 2823 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(20,a,1098,a,b,2787,a)]. 2826 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(20,a,2746,a,b,2788,a),flip(a)]. 2828 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(220,a,2724,a,b,2826,a(flip)),flip(a)]. 2832 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(71,a,2828,a(flip),b,1760,a(flip))]. 2835 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(220,a,2498,a(flip),b,2832,a(flip)),flip(a)]. 2836 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(220,a,1772,a(flip),b,2832,a(flip)),flip(a)]. 2837 (1 / T(x,y)) * x = T(x,y) \ x. [para(2835(a,1),19(a,1,1))]. 2839 T(1 / T(x,y),x) = T(x,y) \ 1. [para(2835(a,1),911(a,1,1))]. 2840 x / T(x,y) = T(x,y) \ x. [hyper(1120,a,2837,a)]. 2842 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(71,a,2840,a,b,905,a)]. 2843 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(220,a,1544,a,b,2840,a(flip)),flip(a)]. 2844 (T(x,y) \ x) * T(x,y) = x. [para(2840(a,1),19(a,1,1))]. 2845 (T(x,y) \ x) \ x = T(x,y). [para(2840(a,1),66(a,1,1))]. 2847 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2840(a,1),1592(a,1,1))]. 2848 L(x,T(x,y) \ x,x) = x. [hyper(220,a,2068,a,b,2844,a(flip)),flip(a)]. 2849 x / T(x,y) != z | T(x,y) \ x = z. [para(2844(a,1),272(a,1,1)),flip(b)]. 2851 (x * y) * T(K(y,x),x) = y * x. [para(2848(a,1),2067(a,1,2)),flip(a)]. 2852 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(220,a,2547,a,b,2839,a(flip)),flip(a)]. 2854 K(T(x,y) \ 1,x) = T(K(x \ 1,x),y). [para(2842(a,1),1619(a,1,1))]. 2855 x * K(T(x,y) \ 1,x) = 1 / (1 / x). [para(2842(a,1),2548(a,1,2,1))]. 2856 T(K(x,y),y) = K(x,y). [hyper(236,a,2851,a),flip(a)]. 2857 T(x,K(y,x)) = x. [hyper(38,a,2856,a)]. 2858 K(x,y) * y = y * K(x,y). [para(2856(a,1),118(a,1,2)),flip(a)]. 2859 (x * K(y,x)) / x = K(y,x). [para(2856(a,1),155(a,1,1,2))]. 2862 K(x,y) * y != z | y * K(x,y) = z. [para(2857(a,1),213(a,1,2))]. 2863 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2857(a,1),171(a,1,2,1)),flip(a)]. 2865 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2857(a,1),173(a,1,2,1)),flip(a)]. 2870 T(x,y \ T(y,x)) = x. [para(1251(a,1),2857(a,1,2))]. 2871 T(x,x \ ((y * x) / y)) = x. [para(1274(a,1),2857(a,1,2))]. 2874 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2870(a,1),118(a,1,2))]. 2875 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2870(a,1),171(a,1,2,1)),flip(a)]. 2876 (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). [hyper(220,a,1554,a,b,2858,a(flip)),flip(a)]. 2879 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2858(a,1),418(a,2,2))]. 2881 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(220,a,1078,a,b,2859,a(flip)),flip(a)]. 2884 ((x * y) / x) / y = y \ ((x * y) / x). [para(2871(a,1),191(a,1,2))]. 2888 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2852(a,1),19(a,1,1))]. 2890 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(220,a,1202,a,b,2884,a(flip)),flip(a)]. 2891 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(718(a,1),2884(a,1,1)),flip(a)]. 2892 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(279,a,2888,a)]. 2893 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2888(a,1),1015(a,1,2))]. 2894 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2892(a,1),2295(a,1,2))]. 2895 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2892(a,1),2458(a,2,2))]. 2896 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2892(a,1),2711(a,1,1))]. 2901 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1237(a,1),2800(a,1,2))]. 2904 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(220,a,2513,a(flip),b,2803,a)]. 2906 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1604(a,1),2803(a,1,2)),flip(a)]. 2907 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2806(a,1),1012(a,1,2)),flip(a)]. 2909 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1859,a,2808,a)]. 2910 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,2808,a(flip),b,2699,a)]. 2911 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2808(a,1),134(a,1,1,2))]. 2912 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2808(a,1),396(a,1,2,2))]. 2914 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(872,a,2909,a)]. 2915 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(63(a,1),2914(a,1,2)),flip(a)]. 2917 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2506,a,2815,a)]. 2919 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(16(a,1),2817(a,1,2)),flip(a)]. 2921 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(220,a,559,a(flip),b,2819,a)]. 2922 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [para(139(a,1),2819(a,1,2)),flip(a)]. 2927 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1787(a,1),2822(a,1,2,1))]. 2928 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(71,a,2823,a(flip),b,2535,a(flip))]. 2929 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2823(a,1),29(a,2,1)),flip(a)]. 2931 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2865(a,1),22(a,1)),flip(a)]. 2933 (x \ 1) \ ((y * (x \ 1)) / y) = x * ((y * (x \ 1)) / y). [hyper(269,a,2890,a),flip(a)]. 2936 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2893(a,2),905(a,1,2))]. 2937 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2053,a,b,2894,a),flip(a)]. 2939 T(x,y) / x = x \ T(x,y). [hyper(78,a,2937,a),flip(a)]. 2940 (x \ T(x,y)) * x = T(x,y). [para(2937(a,1),67(a,1,1,2))]. 2941 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1084,a,2939,a)]. 2942 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(841,a,2939,a),flip(a)]. 2943 K(x \ (x / (1 / y)),x) = y \ T(y,x). [hyper(220,a,1250,a,b,2939,a(flip)),flip(a)]. 2944 (1 / x) * T(x,y) = x \ T(x,y). [hyper(220,a,834,a,b,2939,a(flip)),flip(a)]. 2945 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(220,a,1282,a(flip),b,2939,a(flip))]. 2946 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2939(a,1),214(a,1,1)),flip(b)]. 2947 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2939(a,1),115(a,1,1))]. 2948 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2939(a,1),2056(a,2,2))]. 2949 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2939(a,1),2134(a,1,1,2))]. 2950 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2939(a,1),2280(a,1,1))]. 2951 T(x,x \ T(x,y)) = x. [hyper(253,a,2940,a)]. 2952 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(220,a,1396,a,b,2940,a(flip)),flip(a)]. 2953 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2940(a,1),31(a,2,1)),flip(a)]. 2954 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(119(a,1),2940(a,1,1,2))]. 2955 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2940(a,1),103(a,1,1))]. 2956 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2940(a,1),429(a,1,1,1))]. 2957 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2940(a,1),788(a,1,1)),flip(a)]. 2958 K(x,x \ T(x,y)) = 1. [hyper(39,a,2951,a)]. 2959 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1251(a,2),2951(a,1,2))]. 2960 K(x,T(x,y) / x) = 1. [para(2939(a,2),2958(a,1,2))]. 2961 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2960,a(flip),b,969,a),flip(a)]. 2962 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(220,a,66,a(flip),b,2961,a)]. 2963 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(220,a,1286,a(flip),b,2961,a(flip)),flip(a)]. 2964 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2961(a,1),175(a,1,1)),flip(a)]. 2965 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2961(a,1),305(a,2,1))]. 2966 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2961(a,1),1253(a,1,1)),flip(a)]. 2967 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(220,a,1272,a(flip),b,2959,a(flip)),flip(a)]. 2968 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2962(a,1),1735(a,1,1)),flip(a)]. 2971 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2968(a,1),1537(a,1,1))]. 2972 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2968(a,1),2223(a,1,1,1))]. 2973 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(2943(a,1),1387(a,1,1))]. 2975 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2967(a,1),17(a,1,2))]. 2976 x / ((y * x) / y) = ((y * x) / y) \ x. [para(2967(a,1),63(a,1,2))]. 2977 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(987(a,1),2967(a,1,1,1,1))]. 2979 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(72,a,2976,a(flip),b,1201,a)]. 2980 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [para(2976(a,1),2543(a,1,1,2))]. 2983 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(155(a,1),2963(a,1,3,2))]. 2988 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(220,a,2535,a(flip),b,2907,a(flip)),flip(a)]. 2989 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2591(a,1),2907(a,1,2))]. 2992 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2644(a,1),2907(a,1,2)),flip(a)]. 2995 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(557,a,2915,a),flip(a)]. 2997 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2917(a,1),2488(a,1,1))]. 2998 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1858,a,2919,a),flip(a)]. 2999 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(20,a,2650,a,b,2919,a),flip(a)]. 3001 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2919(a,1),2678(a,1,1)),flip(a)]. 3002 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(220,a,1033,a(flip),b,2921,a(flip)),flip(a)]. 3003 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2921(a,1),2518(a,1))]. 3004 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2921(a,1),2649(a,1,1))]. 3005 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(220,a,887,a,b,2942,a),flip(a)]. 3006 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2942(a,1),633(a,2,1)),flip(a)]. 3008 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2964(a,1),2966(a,1,2)),flip(a)]. 3009 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(220,a,257,a(flip),b,3008,a)]. 3012 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3009(a,1),871(a,1,1,2))]. 3018 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2666(a,1),2998(a,1,2)),flip(a)]. 3020 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2397(a,1),2999(a,1,2))]. 3021 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2421(a,1),3002(a,1,2))]. 3026 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2892(a,1),3018(a,1,2,1))]. 3027 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2776(a,1),2975(a,1,1,1,1))]. 3029 T(x,y \ ((x * y) / x)) = x. [para(2945(a,1),2951(a,1,2))]. 3030 T(x,T(y,x) \ y) = x. [para(155(a,1),3029(a,1,2,2))]. 3031 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3030(a,1),118(a,1,2))]. 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(220,a,1284,a,b,3031,a(flip)),flip(a)]. 3034 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3031(a,1),1596(a,1,1,2,1))]. 3035 L(x,x \ T(x,y),x) = x. [hyper(220,a,63,a(flip),b,2957,a)]. 3037 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2928(a,1),2995(a,1,1))]. 3038 K(1 / x,y) = K(x \ 1,y). [hyper(220,a,2629,a(flip),b,3006,a(flip)),flip(a)]. 3039 K(1 / (1 / x),y) = K(x,y). [hyper(220,a,581,a(flip),b,3038,a)]. 3040 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(220,a,29,a(flip),b,3038,a),flip(a)]. 3041 K((x \ 1) \ 1,y) = K(x,y). [para(63(a,1),3038(a,1,1)),flip(a)]. 3043 T(K(x,y),x) = K(x,y). [para(3039(a,1),2734(a,1,1))]. 3044 T(x,K(x,y)) = x. [hyper(38,a,3043,a)]. 3046 K(x,y) * x = x * K(x,y). [para(3043(a,1),118(a,1,2)),flip(a)]. 3049 T(T(x,y),K(x,z)) = T(x,y). [para(3044(a,1),41(a,1,1)),flip(a)]. 3050 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3044(a,1),171(a,1,2,1)),flip(a)]. 3052 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3044(a,1),173(a,1,2,1)),flip(a)]. 3053 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(3044(a,1),243(a,1,1)),flip(a)]. 3056 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2389(a,1),3041(a,1,1)),flip(a)]. 3068 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3040(a,1),239(a,1))]. 3076 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(161,a,3052,a)]. 3078 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(2562,a,2761,a),flip(a)]. 3079 T(x,T(y,y \ 1)) = T(x,y). [hyper(160,a,2526,a(flip),b,2761,a(flip))]. 3083 T(x,(y \ 1) \ 1) = T(x,y). [para(119(a,1),3079(a,1,2))]. 3085 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1454(a,1),3079(a,1,2))]. 3087 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3083(a,1),118(a,1,2))]. 3091 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(592,a,3078,a)]. 3092 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3078(a,1),2337(a,2,1))]. 3093 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(220,a,2306,a(flip),b,3087,a)]. 3096 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3091(a,2),464(a,2,1))]. 3098 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2843(a,1),2031(a,1,2))]. 3099 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2843(a,1),2603(a,1,1,2)),flip(a)]. 3100 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,3098,a)]. 3101 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(161,a,2875,a)]. 3104 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2167,a,2936,a)]. 3105 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(592,a,2971,a)]. 3107 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2971(a,1),565(a,1,1))]. 3111 R(((x \ 1) * (y / (x \ 1))) / (1 / x),x \ 1,x) = ((1 / x) * (y * x)) / (1 / x). [para(2989(a,1),2599(a,1,1,1))]. 3112 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2308(a,1),2992(a,1,2)),flip(a)]. 3113 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2715,a,b,3001,a)]. 3116 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3004(a,2),358(a,1))]. 3118 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(66(a,1),3021(a,1,2,1,1,2)),flip(a)]. 3119 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(139(a,1),3021(a,1,2,1,1,2))]. 3121 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3104(a,1),2988(a,1,2)),flip(a)]. 3122 T(1 / (1 / x),y / (y * x)) = x. [hyper(160,a,3113,a,b,xx)]. 3124 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),3122(a,1,2,2))]. 3125 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3124(a,1),156(a,1,2,2))]. 3126 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3118(a,1),63(a,1,2))]. 3128 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1870(a,2),3125(a,1,2))]. 3130 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2298(a,2),3126(a,1,2))]. 3134 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),3130(a,1,2,1,1,1))]. 3135 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(220,a,1805,a,b,3134,a),flip(a)]. 3136 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(220,a,148,a,b,3135,a),flip(a)]. 3139 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2904(a,2),3037(a,1,1))]. 3140 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2775(a,2),2109(a,1,1))]. 3143 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [hyper(220,a,2513,a,b,2895,a)]. 3145 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2290(a,1),2896(a,2,2))]. 3146 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(2933(a,1),17(a,1,2))]. 3147 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(2933(a,1),1281(a,1,1)),flip(a)]. 3148 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2290(a,1),3026(a,2,1))]. 3151 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2000,a,3112,a),flip(a)]. 3152 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,1998,a(flip),b,3112,a(flip))]. 3153 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(20,a,250,a,b,3151,a)]. 3154 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(220,a,2445,a(flip),b,3152,a(flip)),flip(a)]. 3155 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(220,a,2186,a(flip),b,3152,a(flip)),flip(a)]. 3156 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3154(a,1),138(a,1,2,1))]. 3157 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2945(a,1),3154(a,1,2)),flip(a)]. 3158 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),3155(a,1,1,2))]. 3159 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(120(a,1),3155(a,1,1,2)),flip(a)]. 3160 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1402(a,1),3155(a,1,1,2)),flip(a)]. 3161 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2942(a,1),3155(a,1,1))]. 3162 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(120(a,1),3159(a,1,1)),flip(a)]. 3163 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),3162(a,1,1,2)),flip(a)]. 3164 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(887(a,2),3161(a,1,1)),flip(a)]. 3167 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3121(a,1),1565(a,1,1)),flip(a)]. 3168 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(119(a,1),3145(a,1,2,2))]. 3170 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,17,a(flip),b,3148,a),flip(a)]. 3171 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),3163(a,1,1)),flip(a)]. 3172 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3171(a,1),63(a,1,2))]. 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(220,a,3157,a,b,3172,a(flip)),flip(a)]. 3176 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(155(a,1),3174(a,2,1))]. 3179 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3176(a,1,1))]. 3180 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3170,a)]. 3182 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1765(a,1),3180(a,1,2))]. 3183 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2953(a,1),923(a,1,2)),flip(a)]. 3184 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),3183(a,1,1)),flip(a)]. 3185 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(220,a,2109,a,b,2955,a(flip)),flip(a)]. 3186 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),3160(a,2,1))]. 3188 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(220,a,2559,a(flip),b,2901,a(flip))]. 3189 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3188,a(flip))]. 3190 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3189(a,1),1404(a,1,1)),flip(a)]. 3191 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3189(a,1),2372(a,1,1))]. 3192 (L(x,x \ 1,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2628(a,1),2948(a,1,1,1))]. 3193 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2939(a,1),2949(a,2,2,1,2))]. 3205 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2481(a,1),3020(a,1,2))]. 3206 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(220,a,3031,a(flip),b,3034,a)]. 3209 (L(x,x \ 1,y) * y) / L(x,x \ 1,y) = y * (x \ T(x,y)). [para(2628(a,1),3192(a,1,2))]. 3211 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3179(a,1),3206(a,1,1,2))]. 3212 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,3193,a(flip),b,3211,a(flip)),flip(a)]. 3213 ((L(x,x \ 1,y) * y) / L(x,x \ 1,y)) \ y = T(x,y) \ x. [para(3209(a,2),3212(a,1,1))]. 3214 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3213(a,1),2980(a,1,1,2))]. 3216 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3116,a,234,a(flip)),flip(a)]. 3217 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [para(3136(a,1),3147(a,1,2)),flip(a)]. 3219 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(220,a,1988,a(flip),b,3217,a(flip)),flip(a)]. 3220 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(16(a,1),3219(a,1,2,2,1)),flip(a)]. 3221 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2837(a,1),3167(a,1,1)),flip(a)]. 3223 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),3158(a,2,1))]. 3224 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3164(a,1),2983(a,1,3))]. 3225 T(x,K(y,x) \ 1) = x. [para(3164(a,1),3030(a,1,2))]. 3226 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3225(a,1),118(a,1,2))]. 3227 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3226(a,1),150(a,2,1)),flip(a)]. 3228 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(220,a,3224,a(flip),b,3227,a)]. 3230 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(63(a,1),3182(a,2,1,1,2))]. 3231 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2675,a,3230,a)]. 3232 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(16(a,1),3231(a,1,2)),flip(a)]. 3233 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3232(a,1),17(a,1,2))]. 3234 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1818(a,2),3233(a,1,2))]. 3235 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2800(a,1),3233(a,1,2)),flip(a)]. 3236 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3235(a,1),896(a,1,2))]. 3238 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1765(a,1),3205(a,1,2))]. 3239 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [hyper(220,a,2528,a,b,2530,a(flip)),flip(a)]. 3251 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1037(a,1),2972(a,2,1))]. 3254 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3251(a,2),587(a,1))]. 3255 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = x * (R((x \ y) * x,z,u) / x). [para(17(a,1),2688(a,1,2,1,2))]. 3256 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2526(a,1),2690(a,1,2,1))]. 3257 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2491(a,1),3256(a,1,2,1))]. 3263 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2927(a,1),3234(a,1,2))]. 3264 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(119(a,2),3263(a,1,2,1))]. 3265 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2614(a,1),3238(a,2,1))]. 3267 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(157(a,1),3092(a,2,1))]. 3268 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(220,a,284,a(flip),b,3267,a)]. 3271 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3268(a,1),234(a,1,2)),flip(a)]. 3272 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,15,a(flip),b,3271,a)]. 3273 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,2361,a(flip),b,3272,a(flip))]. 3274 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(71,a,3273,a(flip),b,2104,a)]. 3275 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(66(a,1),3273(a,1,2))]. 3276 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(995(a,1),3275(a,1,1))]. 3277 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1035(a,1),3276(a,1,1)),flip(a)]. 3278 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(220,a,3221,a(flip),b,3099,a)]. 3279 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2843(a,1),3278(a,1,1))]. 3280 ((1 / x) * (y * x)) / (1 / x) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(2605,a,3111,a),flip(a)]. 3281 ((x \ 1) * (y * x)) / (x \ 1) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(220,a,2910,a(flip),b,3280,a(flip)),flip(a)]. 3282 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2288(a,1),2750(a,2,2,1))]. 3283 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(718(a,1),2891(a,1,2)),flip(a)]. 3284 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(220,a,1793,a(flip),b,3283,a(flip))]. 3285 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2649(a,1),2929(a,1,2)),flip(a)]. 3286 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(220,a,29,a,b,3285,a)]. 3287 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2669(a,1),3286(a,1,1)),flip(a)]. 3289 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(220,a,171,a(flip),b,3282,a)]. 3290 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3289(a,1,2))]. 3291 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3290(a,1,2))]. 3294 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3291(a,1),2795(a,1,2)),flip(a)]. 3300 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3184(a,1),3185(a,1,1))]. 3301 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(220,a,176,a(flip),b,3300,a(flip)),flip(a)]. 3302 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),3301(a,1,1)),flip(a)]. 3303 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,3035,a(flip),b,3302,a)]. 3304 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2836(a,1),3302(a,1,2)),flip(a)]. 3305 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1402(a,1),3303(a,1,1,2)),flip(a)]. 3306 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2945(a,1),3303(a,1,1)),flip(a)]. 3307 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(220,a,2950,a(flip),b,3304,a)]. 3309 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3307(a,1),526(a,2,1))]. 3310 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3306(a,1,2)),flip(a)]. 3311 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(155(a,1),3310(a,1,1,2)),flip(a)]. 3312 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(155(a,1),3311(a,1,2,1)),flip(a)]. 3313 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3312(a,1),17(a,1,2))]. 3314 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),3305(a,2,1))]. 3316 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3186(a,1),3314(a,1,2))]. 3317 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3316(a,1),22(a,1))]. 3318 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(17(a,1),3309(a,1,2,2,2))]. 3320 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2961(a,1),3318(a,1,2,2)),flip(a)]. 3321 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1445(a,1),3320(a,2,2))]. 3323 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(220,a,180,a(flip),b,3321,a)]. 3324 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(555,a,3323,a),flip(a)]. 3326 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(220,a,2944,a(flip),b,3324,a)]. 3327 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1402(a,1),3326(a,1,1,2))]. 3328 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(16(a,1),3327(a,1,1)),flip(a)]. 3330 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1402(a,1),3328(a,1,2)),flip(a)]. 3331 L(K(x,y),x \ 1,x) = K(x,y). [hyper(220,a,16,a(flip),b,3330,a)]. 3334 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,3331,a(flip),b,180,a),flip(a)]. 3340 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,1407,a(flip),b,3190,a)]. 3341 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(541(a,1),3340(a,1,2,2))]. 3342 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,45,a,b,3341,a(flip)),flip(a)]. 3343 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1797(a,1),3342(a,1,1)),flip(a)]. 3344 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,889,a,b,3343,a)]. 3346 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(220,a,1476,a(flip),b,3344,a(flip)),flip(a)]. 3347 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3344(a,1),3223(a,1,1)),flip(a)]. 3348 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(220,a,3189,a,b,3346,a),flip(a)]. 3349 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1700(a,2),3348(a,1,2))]. 3350 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [hyper(3254,a,3347,a),flip(a)]. 3351 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2377(a,1),396(a,1))]. 3359 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),2977(a,2,1))]. 3360 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2540,a,2539,a),flip(a)]. 3367 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(833(a,1),2818(a,1,2,1))]. 3368 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2807(a,1),3367(a,1,1))]. 3369 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(3368(a,1),19(a,1,1))]. 3370 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3265(a,1),2608(a,1,1))]. 3371 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(810(a,1),3370(a,2,1,2))]. 3372 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2660(a,1),2697(a,1,2)),flip(a)]. 3373 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(220,a,33,a,b,3372,a)]. 3376 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(119(a,2),3373(a,1,2,2))]. 3377 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1765(a,1),3376(a,1,3))]. 3378 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(63(a,1),3377(a,2,3))]. 3379 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2798(a,1),2799(a,2,2,1,1))]. 3380 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(220,a,2941,a(flip),b,3379,a)]. 3382 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2941(a,1),3380(a,1,1))]. 3383 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3382(a,1),3012(a,1,1))]. 3384 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3009(a,1),3383(a,2,1))]. 3386 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3384(a,1),17(a,1,2))]. 3388 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,2535,a(flip),b,3386,a(flip)),flip(a)]. 3389 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2769(a,1),2812(a,1,2)),flip(a)]. 3390 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3389(a,2),396(a,1))]. 3391 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),3027(a,1,1,1))]. 3393 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3391(a,1),23(a,1)),flip(a)]. 3398 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3139(a,1),3140(a,1,1))]. 3402 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3096(a,1,1))]. 3403 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3402(a,1,2,3))]. 3404 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2748(a,1),3403(a,1,2)),flip(a)]. 3405 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3091(a,1),3404(a,1,1))]. 3406 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3093(a,1),3404(a,1,1)),flip(a)]. 3407 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1448(a,1),3405(a,1,2))]. 3408 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(220,a,3085,a(flip),b,3407,a(flip))]. 3409 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(220,a,2714,a(flip),b,3408,a)]. 3410 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(220,a,2597,a(flip),b,3409,a)]. 3411 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(220,a,3410,a(flip),b,3406,a(flip)),flip(a)]. 3412 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1448(a,1),3411(a,2,2))]. 3413 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(220,a,3085,a(flip),b,3412,a)]. 3414 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(220,a,3100,a(flip),b,3413,a)]. 3415 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3152(a,1),3414(a,1,1))]. 3416 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(220,a,3279,a(flip),b,3415,a(flip)),flip(a)]. 3417 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3416(a,1),749(a,1,1))]. 3418 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(220,a,409,a(flip),b,3417,a(flip))]. 3419 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(220,a,29,a,b,3418,a),flip(a)]. 3420 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3419(a,2,1)),flip(a)]. 3421 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3420,a(flip),b,180,a),flip(a)]. 3422 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3421(a,1),33(a,2,2)),flip(a)]. 3424 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(33(a,2),1953(a,2,2,1,1))]. 3425 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1819(a,1),3424(a,1,1))]. 3426 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1825(a,1),3425(a,1,1,1))]. 3427 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(429,a,3426,a),flip(a)]. 3429 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(642(a,1),3427(a,2,1,2))]. 3430 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1041(a,1),3427(a,1,2))]. 3431 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1335(a,1),3429(a,1,2))]. 3432 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(141(a,1),3431(a,2,1,2))]. 3433 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1760(a,2),3432(a,2,1))]. 3434 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(15(a,1),3430(a,1,2,2)),flip(a)]. 3435 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3349(a,1),3434(a,1,1)),flip(a)]. 3436 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3346(a,1),3435(a,2,1))]. 3437 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,3191,a(flip),b,3436,a)]. 3438 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1760,a(flip),b,3437,a)]. 3439 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(220,a,3277,a,b,3438,a(flip)),flip(a)]. 3440 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3439(a,1),63(a,1,2)),flip(a)]. 3441 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(63(a,1),3439(a,1,1,1,2)),flip(a)]. 3442 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3441(a,1),66(a,1,1))]. 3443 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(63(a,1),3442(a,1,1,1,1)),flip(a)]. 3444 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3442(a,1),3083(a,1,2)),flip(a)]. 3446 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3443(a,2),2299(a,1,1))]. 3449 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(220,a,2952,a(flip),b,3444,a(flip))]. 3451 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(216,a,3446,a),flip(a)]. 3452 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2298(a,1),3451(a,2,1))]. 3453 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(220,a,3119,a(flip),b,3452,a(flip)),flip(a)]. 3454 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(3143(a,1),3453(a,2,1))]. 3456 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3454(a,2),23(a,1))]. 3462 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * (1 / T(y,x)). [para(66(a,1),1811(a,2,2))]. 3463 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * ((1 / T(y,x)) \ 1)) / x). [hyper(220,a,720,a(flip),b,3462,a)]. 3465 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * T(y,x)) / x). [para(66(a,1),3463(a,2,2,1,2))]. 3467 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * y. [para(155(a,1),3465(a,2,2))]. 3468 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = y / T(y,x). [hyper(220,a,1105,a(flip),b,3467,a)]. 3469 (1 / (1 / T(x,y))) \ (x * T(K(x \ 1,x),y)) = x / T(x,y). [para(16(a,1),3468(a,1,1))]. 3471 (1 / (1 / T(x,y))) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2854(a,2),3469(a,1,2,2))]. 3472 T(1 / (1 / x),y) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2290(a,1),3471(a,1,1))]. 3473 T(1 / (1 / x),y) \ (1 / (1 / x)) = x / T(x,y). [para(2855(a,1),3472(a,1,2))]. 3474 T(1 / x,y) \ (1 / (1 / (x \ 1))) = (x \ 1) / T(x \ 1,y). [para(63(a,1),3473(a,1,1,1,2))]. 3476 (x \ 1) / T(x \ 1,y) = T(1 / x,y) \ (1 / x). [para(63(a,1),3474(a,1,2,2)),flip(a)]. 3477 (x \ 1) / T(x \ 1,y) = x \ (T(1 / x,y) \ 1). [hyper(220,a,3153,a(flip),b,3476,a)]. 3478 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(2849,a,3477,a)]. 3479 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2242(a,1),1271(a,1,1,2))]. 3480 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(19(a,1),3479(a,1,1,2))]. 3482 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(988(a,1),3480(a,1,1)),flip(a)]. 3484 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3482(a,1),3359(a,1,1))]. 3485 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3484,a(flip),b,3316,a)]. 3486 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3485,a(flip))]. 3487 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3486(a,1),2435(a,1,1))]. 3488 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(220,a,3350,a(flip),b,3487,a(flip)),flip(a)]. 3489 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(220,a,3284,a,b,3488,a(flip)),flip(a)]. 3490 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3488(a,1),2200(a,2,1,1))]. 3491 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3489(a,1),17(a,1,2))]. 3492 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(220,a,3440,a(flip),b,3491,a)]. 3493 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(20,a,1740,a,b,3492,a),flip(a)]. 3494 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,2922,a,b,3490,a(flip)),flip(a)]. 3495 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,559,a(flip),b,3494,a(flip)),flip(a)]. 3496 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3456,a,3495,a),flip(a)]. 3499 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3496,a)]. 3501 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,x) * y) * z. [para(3496(a,1),3490(a,2,1))]. 3503 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(220,a,3493,a,b,3499,a(flip)),flip(a)]. 3504 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3499(a,1),991(a,1,2))]. 3507 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3503(a,1),1738(a,1,1))]. 3508 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3503(a,1),2656(a,1,1,1)),flip(a)]. 3509 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3507,a(flip),b,2803,a),flip(a)]. 3510 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3507(a,1),2649(a,1,1))]. 3511 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2809,a,b,3504,a),flip(a)]. 3513 R(x,y,z) / x = x \ R(x,y,z). [hyper(1042,a,3511,a)]. 3516 (x \ R(x,y,z)) * x = R(x,y,z). [para(3511(a,1),1039(a,1,1))]. 3519 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3513(a,1),445(a,1,1))]. 3520 T(x,x \ R(x,y,z)) = x. [hyper(253,a,3516,a)]. 3530 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(220,a,2656,a(flip),b,3508,a)]. 3531 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1766,a,3530,a)]. 3532 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(220,a,3274,a(flip),b,3509,a)]. 3533 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3519(a,2),2293(a,1,1,1,1))]. 3553 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3503(a,1),3501(a,1,1)),flip(a)]. 3554 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2544,a,3553,a)]. 3555 L(x,y,K(z \ 1,z)) = x. [hyper(388,a,3553,a)]. 3556 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(71,a,89,a(flip),b,3553,a)]. 3557 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [hyper(2677,a,3553,a(flip))]. 3559 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),33(a,2,1,1)),flip(a)]. 3569 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3390,a,3555,a),flip(a)]. 3572 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(220,a,3360,a,b,3555,a(flip)),flip(a)]. 3575 L(x,y,1) = x. [para(142(a,1),3555(a,1,3))]. 3576 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3555(a,1),448(a,1,2))]. 3577 L(x,y,K(z,z \ 1)) = x. [para(1762(a,1),3555(a,1,3))]. 3581 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3555(a,1),3390(a,1))]. 3582 L(x,y,1) = x / 1. [hyper(220,a,61,a,b,3575,a)]. 3583 L(x,y,1) != z | z = x. [para(3582(a,2),202(a,1))]. 3587 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(220,a,2671,a(flip),b,3577,a(flip)),flip(a)]. 3589 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3577(a,1),103(a,1,2))]. 3590 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3577(a,1),323(a,1,2)),flip(a)]. 3591 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3577(a,1),448(a,1,2))]. 3595 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3577(a,1),1785(a,1,2)),flip(a)]. 3597 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(63(a,1),3569(a,1,3)),flip(a)]. 3601 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2781(a,2),3581(a,1))]. 3603 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2506,a,3590,a)]. 3605 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3590(a,1),2506(a,1))]. 3606 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2506,a,3595,a)]. 3607 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(578(a,1),3606(a,1,1)),flip(a)]. 3614 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3554(a,1),2810(a,1,1))]. 3615 K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w. [para(3499(a,2),3554(a,2,1)),flip(a)]. 3618 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2657(a,1),3556(a,1,1)),flip(a)]. 3623 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2657(a,1),3557(a,1,2,1)),flip(a)]. 3625 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3576(a,1),120(a,1,1))]. 3626 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(779(a,1),3576(a,1,1)),flip(a)]. 3628 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2665,a,3626,a)]. 3632 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(14(a,1),3587(a,2,2))]. 3633 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2499(a,1),3632(a,1,1))]. 3636 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(418,a,3589,a)]. 3638 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3589,a(flip),b,2531,a)]. 3640 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(220,a,3433,a,b,3636,a(flip)),flip(a)]. 3642 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1738(a,1),3618(a,2,2))]. 3643 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3618(a,1),2912(a,1))]. 3646 (K(x,x \ 1) * ((y * z) * u)) / ((z * K(x,x \ 1)) * u) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),421(a,1,1))]. 3650 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(220,a,772,a(flip),b,3572,a(flip))]. 3651 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2588(a,1),3572(a,1,1,2))]. 3654 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2906(a,1),3625(a,1,1))]. 3656 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3531,a,b,3640,a)]. 3658 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3656(a,1),209(a,1,2)),flip(b)]. 3659 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(3658,a,3532,a),flip(a)]. 3660 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3658,a,3509,a),flip(a)]. 3661 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3660(a,1),17(a,1,2))]. 3662 K(x,R(x \ 1,y,z)) * (u * w) = (u * K((x \ 1) \ 1,x \ 1)) * w. [para(3041(a,1),3615(a,1,1))]. 3665 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),3559(a,1,1))]. 3666 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(220,a,3591,a(flip),b,3638,a(flip)),flip(a)]. 3667 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(220,a,3239,a(flip),b,3638,a(flip))]. 3668 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1765(a,1),3667(a,1,2)),flip(a)]. 3669 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1765(a,1),3668(a,1,3)),flip(a)]. 3670 K(x,R(x \ 1,y,z)) * (u * w) = (u * K(x,x \ 1)) * w. [para(1787(a,1),3662(a,2,1,2))]. 3671 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(21,a,2499,a,b,3670,a)]. 3672 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(220,a,3576,a(flip),b,3665,a(flip)),flip(a)]. 3673 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3672(a,1,2)),flip(a)]. 3674 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2677,a,3673,a(flip))]. 3677 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(71,a,3674,a(flip),b,3255,a(flip)),flip(a)]. 3678 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(3677(a,1),19(a,1,1)),flip(a)]. 3679 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(67(a,1),3677(a,1,1,1)),flip(a)]. 3680 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(436(a,1),3678(a,2,1,2))]. 3682 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2596(a,1),3678(a,2,1,2))]. 3683 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3679(a,1),17(a,1,2)),flip(a)]. 3684 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3683(a,2),2335(a,1,1))]. 3686 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3680,a(flip),b,184,a)]. 3687 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(220,a,3371,a(flip),b,3682,a(flip))]. 3688 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3682,a(flip),b,2598,a),flip(a)]. 3690 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3687(a,1,1)),flip(a)]. 3691 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3690,a),flip(a)]. 3692 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,17,a(flip),b,3690,a),flip(a)]. 3693 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,3691,a)]. 3694 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,218,a(flip),b,3691,a),flip(a)]. 3695 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,155,a(flip),b,3691,a)]. 3696 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,3146,a,b,3691,a),flip(a)]. 3697 (x \ T(x,y)) * y = (x * y) / x. [hyper(220,a,2874,a,b,3691,a(flip)),flip(a)]. 3698 ((x * y) / x) / y = x \ T(x,y). [hyper(72,a,3691,a(flip),b,2874,a)]. 3699 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3691(a,1),813(a,1,2))]. 3700 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3691(a,1),2091(a,1,1))]. 3701 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2942(a,1),3691(a,1,2)),flip(a)]. 3702 ((x * y) / x) \ y = T(x,y) \ x. [para(3691(a,1),3212(a,1,1))]. 3703 (T(x,y) \ x) * ((x * y) / x) = y. [para(3691(a,1),3313(a,1,2))]. 3705 x * (y \ T(y,x)) != z | (y * x) / y = z. [para(3693(a,1),208(a,1,2)),flip(b)]. 3706 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3693(a,1),403(a,1,1))]. 3707 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3693(a,1),1281(a,1,1)),flip(a)]. 3708 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3695(a,2),17(a,1,2))]. 3709 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3695(a,2),2947(a,1,1))]. 3710 (x * y) / x != z * y | x \ T(x,y) = z. [para(3697(a,1),23(a,1))]. 3712 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3698(a,1),443(a,1,1,1))]. 3713 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3702(a,1,1,1)),flip(a)]. 3714 T(x,T(y,x)) \ x = y \ T(y,x). [para(155(a,1),3702(a,1,1)),flip(a)]. 3715 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),1082(a,1,1,2,2)),flip(a)]. 3716 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3702(a,1),1188(a,1,2,2,1))]. 3717 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3393,a,3703,a)]. 3718 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3714(a,1),2845(a,1,1))]. 3719 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2942(a,1),3718(a,1,1))]. 3720 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(3005(a,2),3718(a,1,1)),flip(a)]. 3721 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(119(a,1),3692(a,1,2,2))]. 3722 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,3721,a)]. 3723 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(155(a,1),3706(a,2,2)),flip(a)]. 3724 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3707(a,2),2946(a,1))]. 3725 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(120(a,1),3694(a,1,2))]. 3726 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(220,a,3713,a,b,3725,a(flip)),flip(a)]. 3727 x / (x / y) = y * (T(y,y \ x) \ y). [para(3726(a,2),17(a,1,2)),flip(a)]. 3729 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3727(a,2,2,1,2))]. 3730 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1354,a,3696,a)]. 3732 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(220,a,1004,a,b,3696,a(flip)),flip(a)]. 3733 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3696(a,1),1982(a,1,1))]. 3734 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3696(a,1),2006(a,2,2,1))]. 3735 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3696(a,1),1985(a,2,2,1))]. 3736 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3696(a,1),2369(a,1,1))]. 3737 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3730(a,2),17(a,1,2))]. 3738 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1398,a,3737,a)]. 3739 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(63(a,1),3737(a,1,2,2,1)),flip(a)]. 3740 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(191(a,1),3737(a,1,2,2,1)),flip(a)]. 3741 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1972,a,3738,a)]. 3744 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(220,a,3449,a,b,3738,a(flip)),flip(a)]. 3745 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3738,a(flip),b,1968,a)]. 3746 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3738(a,1),1969(a,1,2)),flip(a)]. 3747 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(220,a,3220,a(flip),b,3744,a(flip)),flip(a)]. 3748 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3744,a(flip),b,3219,a)]. 3751 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3745(a,2),150(a,2,1))]. 3752 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3748,a,b,xx)]. 3753 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3748(a,2),22(a,1))]. 3754 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(66(a,1),3748(a,2,2,1))]. 3755 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(303(a,2),3748(a,2,2)),flip(a)]. 3759 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(220,a,954,a(flip),b,3729,a(flip)),flip(a)]. 3760 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3746(a,1),2641(a,2,1,2))]. 3762 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(220,a,819,a(flip),b,3754,a(flip)),flip(a)]. 3763 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3759(a,1),66(a,1,1))]. 3764 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3759(a,1),1255(a,2,2,1,2))]. 3766 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [hyper(220,a,3708,a,b,3720,a(flip)),flip(a)]. 3767 ((x \ 1) \ (x \ y)) * (x \ 1) = y * R(1 / x,x,x \ y). [hyper(220,a,818,a,b,3755,a),flip(a)]. 3769 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(893(a,1),3701(a,2,2))]. 3770 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(220,a,3730,a(flip),b,3733,a),flip(a)]. 3771 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3740(a,2),22(a,1))]. 3772 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(20,a,764,a,b,3747,a),flip(a)]. 3773 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2965(a,1),3770(a,1,2,2,1)),flip(a)]. 3774 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(220,a,3004,a(flip),b,3772,a(flip))]. 3775 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(148(a,2),3774(a,1,2))]. 3776 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3775,a(flip),b,704,a),flip(a)]. 3777 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3709(a,1),748(a,1,1))]. 3778 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(220,a,3730,a(flip),b,3736,a)]. 3779 (x \ y) \ (y * R(1 / x,x,x \ y)) = K((x \ 1) \ (x \ y),x \ 1). [hyper(71,a,3767,a(flip),b,234,a)]. 3781 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(220,a,1093,a(flip),b,3688,a(flip)),flip(a)]. 3782 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3730(a,1),3734(a,1,1))]. 3784 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3769(a,2),22(a,1))]. 3785 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(220,a,3700,a(flip),b,3776,a(flip)),flip(a)]. 3786 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(1563,a,3785,a)]. 3787 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3786(a,1,1,1)),flip(a)]. 3788 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3787(a,1,1,1)),flip(a)]. 3789 K((x \ 1) \ (x \ y),x \ 1) = K(y,(x \ y) / y). [hyper(637,a,3779,a),flip(a)]. 3790 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(220,a,3216,a(flip),b,3789,a(flip)),flip(a)]. 3792 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3164(a,1),3766(a,1,2))]. 3793 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(71,a,3792,a(flip),b,3226,a)]. 3794 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3792(a,1),22(a,1))]. 3795 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3792(a,1),3228(a,1,1))]. 3796 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3793(a,1),811(a,1,2,1))]. 3797 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3795(a,1),17(a,1,2))]. 3798 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3797(a,1),2642(a,1,1)),flip(a)]. 3799 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(220,a,241,a(flip),b,3796,a(flip))]. 3800 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(220,a,328,a(flip),b,3799,a(flip))]. 3801 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(220,a,3800,a(flip),b,3798,a)]. 3802 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3801(a,1),2239(a,1,2,2))]. 3803 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3777(a,2,1))]. 3805 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(520,a,3802,a),flip(a)]. 3806 K(x,(y \ 1) \ 1) = K(x,y). [hyper(220,a,564,a(flip),b,3805,a),flip(a)]. 3809 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(220,a,3287,a,b,3806,a(flip)),flip(a)]. 3811 K(x,1 / y) = K(x,y \ 1). [para(66(a,1),3806(a,1,2,1)),flip(a)]. 3823 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3811(a,1),2095(a,2,1))]. 3828 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2147(a,2),3809(a,1,1))]. 3829 K((1 / x) \ y,x) = K((x \ 1) \ y,x). [para(2800(a,1),3809(a,1,1)),flip(a)]. 3830 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2808(a,1),3809(a,1,1))]. 3834 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2808(a,1),3828(a,1,1,1))]. 3836 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3601,a,3717,a)]. 3837 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2778(a,1),3836(a,2,1))]. 3838 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(220,a,3788,a(flip),b,3837,a(flip))]. 3839 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3838(a,1),3156(a,1,2,1))]. 3843 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(220,a,3778,a,b,3773,a)]. 3844 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3083(a,1),3843(a,2,1,2))]. 3847 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(220,a,1218,a(flip),b,3764,a(flip))]. 3848 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(118(a,1),3847(a,2,1,2))]. 3849 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3702(a,1),3716(a,2,2))]. 3855 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3654(a,2),3643(a,1))]. 3856 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2487(a,1),3760(a,1,1,1))]. 3857 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3628(a,1),3856(a,1,1,1))]. 3858 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(120(a,1),3857(a,1,1))]. 3859 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3752(a,1),3858(a,2,1))]. 3861 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3859(a,2),214(a,1)),flip(b)]. 3867 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(220,a,3576,a(flip),b,3614,a(flip)),flip(a)]. 3876 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1765(a,1),3607(a,2,2))]. 3877 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(63(a,1),3876(a,1,1))]. 3878 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(3861,a,3877,a(flip)),flip(a)]. 3906 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2077(a,1),3715(a,1,1))]. 3907 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(118(a,1),3906(a,1,1,1,2))]. 3908 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),3907(a,1,2))]. 3909 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3684(a,1),216(a,1))]. 3910 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3909,a,3735,a)]. 3911 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3741(a,1),3910(a,1,1)),flip(a)]. 3912 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3083(a,1),3911(a,1,2,1,2)),flip(a)]. 3913 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3083(a,1),3912(a,1,1)),flip(a)]. 3914 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3913(a,1,2,2)),flip(a)]. 3915 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3914(a,1,2)),flip(a)]. 3917 L(x,y \ T(y,z),y) = x. [hyper(474,a,3915,a)]. 3918 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3915,a)]. 3920 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,896,a,b,3915,a)]. 3922 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3695(a,2),3915(a,1,2,1))]. 3923 T(x,y) * y = x * ((x * y) / x). [para(3697(a,1),3915(a,1,2)),flip(a)]. 3927 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3917,a(flip),b,3302,a)]. 3929 L(x,T(y,T(z,y)) \ y,z) = x. [para(3714(a,2),3917(a,1,2))]. 3930 L(x,T(y,z) \ y,(y * z) / y) = x. [para(154(a,1),3929(a,1,2,1,2))]. 3931 T(x,y) * (x \ y) = (x * y) / x. [hyper(920,a,3923,a)]. 3933 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1204,a,b,3923,a),flip(a)]. 3934 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3923(a,2,2,1))]. 3937 T(x,x / (1 / y)) = T(x,x * y). [hyper(220,a,1210,a(flip),b,3933,a(flip)),flip(a)]. 3938 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(220,a,962,a(flip),b,3933,a(flip)),flip(a)]. 3939 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3933,a(flip),b,950,a)]. 3940 T(x,x / y) = T(x,y \ x). [para(63(a,1),3933(a,1,2,2))]. 3943 T(x / y,T(y,x)) = y \ x. [hyper(160,a,1132,a,b,3931,a)]. 3945 T(x,T(y,x * y)) = y \ (x * y). [hyper(160,a,1110,a(flip),b,3931,a)]. 3947 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),3931(a,1,2))]. 3949 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3931(a,1),396(a,1,1))]. 3950 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3931(a,1),2881(a,1,1,1))]. 3951 T(x \ y,T(x,y)) = T(x \ y,x). [para(3943(a,1),175(a,1,1)),flip(a)]. 3956 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3937(a,1),1198(a,1,1))]. 3957 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3939(a,1,1)),flip(a)]. 3960 T(x,T(y,x * y)) = T(x,y). [hyper(220,a,35,a,b,3945,a)]. 3962 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3951(a,1),118(a,1,2))]. 3964 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3930,a(flip),b,3849,a),flip(a)]. 3965 R(x,x \ T(x,y),z) = x. [hyper(650,a,3918,a)]. 3966 R(x,T(y,x) \ y,z) = x. [para(3695(a,2),3965(a,1,2))]. 3967 R(x,K(y,x) \ 1,z) = x. [para(3164(a,1),3966(a,1,2))]. 3968 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(220,a,3782,a(flip),b,3920,a(flip))]. 3969 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,3388,a(flip),b,3920,a(flip))]. 3970 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(16(a,1),3927(a,2,2))]. 3974 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3748,a,b,3934,a)]. 3975 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(220,a,3920,a,b,3934,a(flip)),flip(a)]. 3980 (T(x,y) * z) / (x * z) = x \ T(x,y). [para(3970(a,1),63(a,1,2))]. 3981 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2956,a,3980,a)]. 3982 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3980(a,1),207(a,1,1)),flip(b)]. 3983 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3980(a,1),3803(a,1,1)),flip(a)]. 3985 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(220,a,2973,a(flip),b,3981,a(flip)),flip(a)]. 3986 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3698(a,1),3950(a,1,1))]. 3988 K(T(x,y),y) = K(x,(x * y) / x). [hyper(220,a,3706,a(flip),b,3986,a(flip))]. 3989 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(220,a,3938,a(flip),b,3956,a)]. 3990 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3922(a,2),23(a,1))]. 3993 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3957(a,1),662(a,1,1))]. 3994 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3964(a,1),17(a,1,2))]. 3996 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2847(a,1),3964(a,1,2))]. 3998 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(220,a,3712,a,b,3994,a(flip)),flip(a)]. 3999 (T(x,y) \ x) * (x * y) = y * x. [para(66(a,1),3994(a,1,2)),flip(a)]. 4000 K(x,y) = T(T(y,x) \ y,y * x). [hyper(160,a,3999,a,b,98,a),flip(a)]. 4001 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,3999,a)]. 4003 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),4001(a,1,2)),flip(a)]. 4004 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4001(a,2),3156(a,1,2,1)),flip(a)]. 4005 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(220,a,3839,a(flip),b,4004,a),flip(a)]. 4006 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1560(a,1),4005(a,1,2))]. 4007 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3996(a,1),3848(a,1,2,1))]. 4008 (x * (y / x)) / y = (x \ y) \ (y / x). [para(120(a,1),4003(a,1,1)),flip(a)]. 4009 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(220,a,3722,a(flip),b,4008,a)]. 4010 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(220,a,3732,a(flip),b,4009,a(flip))]. 4012 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3982(a,1,2))]. 4014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3718(a,1),4012(a,1))]. 4015 R(K(x,y),x,z) = K(x,y). [hyper(220,a,3723,a,b,3983,a)]. 4017 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4015(a,1),114(a,1,1)),flip(a)]. 4018 L(x,y,K(y,z)) = x. [hyper(388,a,4017,a)]. 4020 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3046(a,1),4017(a,1,1))]. 4021 L(x,y,K(y,z)) = 1 * x. [hyper(220,a,14,a,b,4018,a)]. 4026 L(x,y,K(y,z)) != u | u = x. [para(4021(a,2),73(a,1))]. 4028 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1048,a,3985,a),flip(a)]. 4030 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4010(a,1),2954(a,1,1))]. 4031 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2946,a,4030,a),flip(a)]. 4033 T(x,(x / y) \ 1) = T(x,x \ y). [para(66(a,1),4031(a,1,2,2)),flip(a)]. 4034 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4031(a,1),157(a,1,2))]. 4036 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4031(a,1),3726(a,1,1)),flip(a)]. 4037 (x / y) \ T(x,x \ y) = x * (y / x). [para(4033(a,1),3754(a,1,2))]. 4038 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(66(a,1),4034(a,1,2,2))]. 4039 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(18(a,1),4037(a,2,2))]. 4044 ((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y). [hyper(87,a,4038,a)]. 4045 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(35(a,2),4039(a,1,2,2))]. 4047 (x \ ((1 / y) \ x)) * T(x,y) != z | (1 / y) \ x = z. [para(4044(a,1),214(a,1,1)),flip(b)]. 4048 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4031(a,1),3974(a,1,1))]. 4049 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2780(a,1),4048(a,2,2))]. 4050 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(4007(a,1),22(a,1))]. 4051 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(220,a,3694,a(flip),b,4028,a(flip)),flip(a)]. 4052 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4028(a,1),3718(a,1,1)),flip(a)]. 4053 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(220,a,4036,a(flip),b,4051,a(flip)),flip(a)]. 4054 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(220,a,1246,a,b,4053,a),flip(a)]. 4055 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(220,a,810,a(flip),b,4053,a)]. 4058 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4053(a,2),396(a,1,1))]. 4059 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4054(a,2),2845(a,1,1))]. 4060 T(x,y) \ x = y \ T(y,x). [para(3083(a,1),4055(a,1,1))]. 4062 (x * y) / x = y * (T(y,x) \ y). [para(4060(a,2),3691(a,1,2)),flip(a)]. 4063 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4060(a,2),3915(a,1,2,1))]. 4064 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4060(a,2),3920(a,1,1)),flip(a)]. 4065 K(x,y) = T(x \ T(x,y),y * x). [para(4060(a,1),4000(a,2,1))]. 4066 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(220,a,3727,a,b,4062,a)]. 4068 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4062(a,2),3763(a,1,1))]. 4069 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(220,a,3770,a,b,4065,a),flip(a)]. 4070 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(63(a,1),4059(a,1,1,1,2)),flip(a)]. 4072 T(x,T(y,x)) = T(x,y). [hyper(3990,a,4063,a)]. 4073 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,968,a,b,4063,a)]. 4074 T(x,y) * T(y,x) = x * y. [para(2844(a,1),4063(a,1,2)),flip(a)]. 4075 x * (T(x,y) \ y) = T(y,x). [hyper(4014,a,4072,a)]. 4077 R(T(x,x * y),y,x) = T(x,y). [hyper(220,a,3989,a,b,4072,a(flip)),flip(a)]. 4078 (x / T(y,x)) * y = T(x,y). [hyper(220,a,3938,a,b,4072,a(flip)),flip(a)]. 4079 (T(x,y) / y) \ x = T(y,x). [hyper(220,a,1135,a,b,4072,a(flip)),flip(a)]. 4080 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(220,a,4006,a(flip),b,4072,a(flip))]. 4081 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(220,a,246,a(flip),b,4072,a(flip))]. 4082 T(x,y) / y = x / T(y,x). [hyper(72,a,4072,a(flip),b,3938,a)]. 4083 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,4072,a(flip),b,922,a)]. 4084 T(x,y) \ y = x \ T(y,x). [hyper(71,a,4072,a(flip),b,922,a),flip(a)]. 4085 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),4072(a,1,2))]. 4087 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(43(a,2),4072(a,1,2))]. 4088 T(x,y / x) = T(x,x \ y). [para(120(a,1),4072(a,1,2)),flip(a)]. 4089 T(x,(x * y) / x) = T(x,y). [para(154(a,1),4072(a,1,2)),flip(a)]. 4091 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4072(a,1),171(a,1,2,1))]. 4092 (x * y) / T(y,x) = T(x,y). [para(4072(a,1),193(a,1,2))]. 4093 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4072(a,1),172(a,1,2,1))]. 4094 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4072(a,1),173(a,1,2,1))]. 4095 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(612(a,1),4072(a,1,2))]. 4100 (x / (y * x)) \ T(x,y) = x * y. [para(4072(a,1),4045(a,1,2))]. 4101 T(x,y) * (x \ T(y,x)) = y. [hyper(920,a,4074,a)]. 4103 x * T(y,z) != z * y | T(z,y) = x. [para(4074(a,1),23(a,1)),flip(a)]. 4105 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4074(a,1),27(a,2,2,1)),flip(a)]. 4108 K(T(x,y) \ y,z) = K(x \ T(y,x),z). [para(4075(a,1),580(a,1,1,2)),flip(a)]. 4110 T(x,y) = (x * (x * y)) / (y * x). [hyper(220,a,1151,a,b,4078,a(flip))]. 4113 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(41(a,1),4083(a,1,2,1))]. 4115 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4084(a,1),96(a,1,1,2,1))]. 4116 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4084(a,2),1419(a,2,1))]. 4119 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(220,a,668,a,b,4088,a(flip)),flip(a)]. 4123 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4088(a,1),786(a,1,2,2))]. 4125 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4092(a,1),1132(a,1,1)),flip(a)]. 4126 T(x,y) \ y != z * u | (x \ T(y,x)) / u = z. [para(4101(a,1),372(a,1,2))]. 4127 R(T(x,y),x \ y,x) = T(x,x \ y). [para(17(a,1),4077(a,1,1,2))]. 4135 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4072(a,1),4085(a,1,2)),flip(a)]. 4136 T(x,y) / (x * y) = x / (y * x). [para(4100(a,1),63(a,1,2))]. 4138 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(220,a,151,a,b,4136,a)]. 4139 T(x,x \ y) / y = x / ((x \ y) * x). [para(17(a,1),4136(a,1,2))]. 4141 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(576,a,4138,a)]. 4142 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(220,a,3994,a,b,4064,a),flip(a)]. 4143 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4066(a,1),19(a,1,1))]. 4144 T(x / (x / y),y \ x) = y. [para(4066(a,1),154(a,1,1))]. 4146 T(x / (x / y),x) = L(y,y \ x,y). [para(4066(a,1),621(a,1,1))]. 4149 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4146(a,2),43(a,2,1)),flip(a)]. 4150 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4146(a,2),384(a,1,2))]. 4151 K(x \ y,x) \ x = x * K(x,y / x). [hyper(220,a,3739,a(flip),b,4070,a(flip))]. 4154 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4116(a,2),4110(a,2,2)),flip(a)]. 4156 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4031(a,1),4139(a,1,1))]. 4158 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(120(a,1),4141(a,1,3)),flip(a)]. 4159 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(220,a,1157,a,b,4143,a(flip)),flip(a)]. 4161 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3794,a,4151,a)]. 4162 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),4161(a,1,1,1)),flip(a)]. 4164 K(T(x,y),y) = K(y,x) \ 1. [hyper(220,a,3988,a,b,4162,a(flip)),flip(a)]. 4165 K(T(x,y),y) \ 1 = K(y,x). [para(155(a,1),4162(a,1,2)),flip(a)]. 4167 K(T(x,y),y) * K(y,x) = 1. [para(4164(a,2),2433(a,1,1))]. 4168 x * K(T(y,x),x) = K(x,y) \ x. [para(4164(a,2),3316(a,1,2))]. 4169 R(x,K(x,y),z) = x. [para(4165(a,1),3967(a,1,2))]. 4172 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4169(a,1),114(a,1,1)),flip(a)]. 4173 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4169(a,1),424(a,1,1,1)),flip(a)]. 4176 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4167(a,1),22(a,1)),flip(a)]. 4177 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4167(a,1),209(a,1,2)),flip(b)]. 4179 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4168(a,1),22(a,1))]. 4181 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4164(a,2),4177(a,1))]. 4184 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4159(a,1),19(a,1,1))]. 4186 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(220,a,4020,a(flip),b,4172,a(flip)),flip(a)]. 4188 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(66(a,1),4184(a,1,1,1))]. 4189 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(555,a,4186,a),flip(a)]. 4198 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(220,a,846,a(flip),b,4073,a)]. 4200 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4072(a,1),4113(a,1,2,1))]. 4201 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(220,a,4085,a(flip),b,4135,a)]. 4202 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(220,a,1185,a,b,4142,a(flip)),flip(a)]. 4204 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(213,a,4150,a)]. 4206 T(x,((y / (y / x)) * y) / x) = T(x,(x \ y) * x). [para(4204(a,2),4089(a,1,2,1))]. 4207 R(1 / x,x,y / x) = (x \ y) / y. [hyper(220,a,303,a(flip),b,4158,a)]. 4208 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(220,a,151,a(flip),b,4207,a(flip)),flip(a)]. 4209 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4208(a,1),19(a,1,1))]. 4212 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(220,a,3719,a(flip),b,4052,a)]. 4213 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(220,a,4072,a(flip),b,4212,a(flip))]. 4214 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(220,a,4072,a(flip),b,4213,a(flip))]. 4216 T(x,(y / z) \ 1) = T(x,z / y). [para(66(a,1),4214(a,1,2,1)),flip(a)]. 4219 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4216(a,1),3844(a,1,1,2))]. 4220 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4080(a,1),4069(a,1,2,2,1))]. 4221 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4220(a,1),17(a,1,2)),flip(a)]. 4222 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3771,a,4221,a)]. 4223 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(220,a,3790,a,b,4222,a(flip)),flip(a)]. 4224 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(220,a,3806,a(flip),b,4223,a)]. 4225 K((x \ 1) * y,x) = K(x \ y,x). [para(16(a,1),4224(a,1,1,2)),flip(a)]. 4226 K((1 / x) * y,x) = K(x \ y,x). [hyper(220,a,3830,a,b,4225,a(flip)),flip(a)]. 4227 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(35(a,2),4226(a,2,1))]. 4228 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(63(a,1),4226(a,1,1,1)),flip(a)]. 4229 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(761(a,1),4227(a,1,1))]. 4230 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(220,a,3834,a(flip),b,4229,a(flip)),flip(a)]. 4231 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4230(a,1),4165(a,1,1))]. 4232 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4177,a,4231,a),flip(a)]. 4234 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(610(a,1),4093(a,1,2))]. 4235 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4094(a,1),164(a,1,1,2))]. 4236 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4077(a,1),4094(a,1,2)),flip(a)]. 4237 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4119(a,1),4094(a,1,2)),flip(a)]. 4238 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4127(a,1),4094(a,1,2)),flip(a)]. 4239 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3083(a,1),4156(a,1,1))]. 4240 (x * (y / x)) * (y / (y / x)) = y * x. [para(66(a,1),4188(a,2,2))]. 4241 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(18(a,1),4240(a,1,1,2))]. 4243 (x * y) * ((y * x) / y) = (y * x) * x. [para(18(a,1),4241(a,1,2,2))]. 4245 (x * y) \ ((y * x) * x) != z | (y * x) / y = z. [para(4243(a,1),209(a,1,2)),flip(b)]. 4246 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,4237,a,b,4238,a),flip(a)]. 4248 L(x,K(y,z),L(y,u,w)) = x. [hyper(388,a,4173,a)]. 4250 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4239(a,2),66(a,1,1))]. 4251 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),4219(a,1,1,2,2))]. 4252 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(220,a,3101,a(flip),b,4251,a(flip))]. 4253 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3920(a,1),3968(a,2,2))]. 4254 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2786(a,1),3969(a,1,2))]. 4255 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(220,a,3264,a(flip),b,4254,a(flip))]. 4256 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(220,a,4091,a(flip),b,4125,a)]. 4261 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4252(a,1),3998(a,1,1))]. 4262 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4012,a,4261,a),flip(a)]. 4263 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3982,a,4261,a),flip(a)]. 4265 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(220,a,4198,a(flip),b,4262,a(flip))]. 4266 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(220,a,4073,a(flip),b,4262,a(flip)),flip(a)]. 4269 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,17,a(flip),b,4263,a)]. 4270 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(220,a,4064,a,b,4263,a(flip)),flip(a)]. 4272 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4263,a(flip),b,3994,a),flip(a)]. 4275 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4263(a,1),4063(a,1,2)),flip(a)]. 4279 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(220,a,103,a,b,4275,a)]. 4283 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4266(a,1),1085(a,1))]. 4284 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(317,a,4279,a),flip(a)]. 4289 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4275(a,1),4105(a,1,1))]. 4290 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4289,a),flip(a)]. 4291 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4289(a,1),597(a,1))]. 4296 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4075(a,1),4154(a,1,1,2))]. 4297 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(118(a,1),4296(a,1,1))]. 4298 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4201(a,1),4200(a,1,1))]. 4299 T(x,T(y,T(x,z))) = T(x,y). [hyper(220,a,4113,a(flip),b,4298,a(flip))]. 4302 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(178(a,1),4299(a,1,2,2))]. 4306 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4302(a,1),4149(a,1,1))]. 4307 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3105(a,1),4255(a,1,1)),flip(a)]. 4308 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3949,a,4272,a),flip(a)]. 4309 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(641,a,4308,a),flip(a)]. 4316 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4058,a,4269,a),flip(a)]. 4317 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(220,a,4253,a(flip),b,4316,a(flip)),flip(a)]. 4318 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4270(a,1),4317(a,1,2)),flip(a)]. 4319 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(220,a,180,a(flip),b,4318,a)]. 4321 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1333(a,1),4235(a,1,1))]. 4322 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1056(a,1),4321(a,1,2))]. 4323 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4322,a),flip(a)]. 4325 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4290,a,b,4323,a(flip)),flip(a)]. 4326 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4072(a,1),4325(a,1,1))]. 4327 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3443(a,2),3533(a,1,1))]. 4333 (K(x,x \ 1) * ((y * z) * u)) / (K(x,x \ 1) * (z * u)) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),3646(a,1,2))]. 4337 K(x,x \ 1) * (((y * z) * u) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [hyper(220,a,3591,a(flip),b,4333,a(flip)),flip(a)]. 4338 K(x,x \ 1) * ((R(y,z,u) * (z * u)) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(114(a,2),4337(a,1,2,1))]. 4342 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(66(a,1),4049(a,1,1,2))]. 4343 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(43(a,2),4342(a,1,1))]. 4344 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4343(a,1,1))]. 4345 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(66(a,1),4344(a,1,2,2,2))]. 4346 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(43(a,2),4345(a,1,2,2))]. 4347 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4346(a,1,2,2))]. 4348 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(16(a,1),4347(a,1,2))]. 4350 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = ((1 / x) * ((1 / x) \ T(y,x))) \ ((x \ ((1 / x) \ y)) * x). [para(831(a,1),4348(a,1,1,2)),flip(a)]. 4354 R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(R(x,y,u),K(z,z \ 1),y * u). [hyper(220,a,3666,a(flip),b,4338,a(flip))]. 4355 R(R(x,1 / y,K(z,z \ 1)),K(z,z \ 1) / y,u) = R(R(x,1 / y,u),K(z,z \ 1),(1 / y) * u). [para(3603(a,1),4354(a,1,2))]. 4356 R(R(x,1 / y,K(z \ 1,z)),K(z \ 1,(z \ 1) \ 1) / y,u) = R(R(x,1 / y,u),K(z \ 1,(z \ 1) \ 1),(1 / y) * u). [para(1765(a,1),4355(a,1,1,3))]. 4357 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((x \ ((1 / x) \ y)) * x). [hyper(220,a,333,a(flip),b,4350,a)]. 4359 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(831(a,1),4357(a,2,2))]. 4360 ((1 / x) * ((1 / x) \ y)) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(2770(a,1),4359(a,1,1))]. 4361 T(x,y) \ ((1 / y) \ T(x,y)) = x \ (y * (y \ ((1 / y) \ x))). [hyper(220,a,333,a(flip),b,4360,a(flip))]. 4363 T(x,y) \ ((1 / y) \ T(x,y)) = x \ ((1 / y) \ x). [para(17(a,1),4361(a,2,2))]. 4365 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,(y \ 1) \ 1) / y,z). [para(2594(a,1),4356(a,1,1)),flip(a)]. 4366 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,y) / y,z). [para(1765(a,1),4365(a,2,2,1))]. 4367 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,y \ 1,z). [para(258(a,1),4366(a,2,2))]. 4368 R(R(x,1 / y,z),K(y \ 1,y),(1 / y) * z) = R(x,y \ 1,z). [para(1765(a,1),4367(a,1,2))]. 4369 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),3128(a,1,2,1))]. 4370 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(60(a,1),4369(a,1,2))]. 4372 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(207,a,4370,a)]. 4375 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2331(a,1),4372(a,1,1))]. 4377 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(524(a,1),3294(a,1,1)),flip(a)]. 4378 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(524(a,1),3878(a,1,2,2,2))]. 4379 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(66(a,1),4377(a,1,2,1,1,1))]. 4380 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2907,a,b,4379,a),flip(a)]. 4381 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3236,a(flip),b,4379,a(flip))]. 4382 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(4380(a,1),2823(a,1,2))]. 4383 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4307(a,1),4381(a,1,2))]. 4384 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4383(a,1),230(a,1,1)),flip(a)]. 4385 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4382(a,1),3107(a,1,2))]. 4386 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(4385(a,1),396(a,1))]. 4387 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(4386,a,3597,a)]. 4388 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,105,a(flip),b,4387,a(flip))]. 4389 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,4319,a(flip),b,4388,a(flip)),flip(a)]. 4391 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4389(a,1),3398(a,2,2))]. 4392 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(220,a,4384,a(flip),b,4391,a)]. 4393 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3855,a,4392,a)]. 4395 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,4393,a)]. 4397 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4395(a,1),2911(a,1,2))]. 4398 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4397(a,1),3867(a,1,2)),flip(a)]. 4400 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(220,a,2657,a(flip),b,4398,a)]. 4404 R(x,1 / y,z) = R(x,y \ 1,z). [hyper(220,a,4368,a(flip),b,4400,a(flip))]. 4405 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4400(a,1,3))]. 4408 R(x,y,K(z \ 1,z)) = x. [hyper(220,a,3669,a(flip),b,4405,a(flip)),flip(a)]. 4414 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(220,a,3651,a(flip),b,4408,a(flip))]. 4417 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(220,a,3378,a(flip),b,4408,a(flip))]. 4420 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4408(a,1),114(a,1,1)),flip(a)]. 4421 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4408(a,1),326(a,1,1)),flip(a)]. 4422 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4408(a,1),414(a,1,1))]. 4424 x * K(y \ 1,y) != z * (u * K(y \ 1,y)) | z * u = x. [para(4408(a,1),374(a,1,1)),flip(a)]. 4432 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(63(a,1),4404(a,1,2)),flip(a)]. 4445 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4417(a,1),114(a,1,1))]. 4446 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4432(a,1),114(a,1,1))]. 4452 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4414(a,1),4265(a,1,2,1))]. 4455 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2523,a,4421,a)]. 4461 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(388,a,4420,a)]. 4466 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4461,a)]. 4467 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(220,a,2525,a(flip),b,4461,a(flip)),flip(a)]. 4473 a(x,y,K(z,z \ 1)) = 1. [para(1762(a,1),4466(a,1,3))]. 4474 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4473,a)]. 4476 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(220,a,1303,a,b,4467,a(flip)),flip(a)]. 4479 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(220,a,2513,a,b,4422,a)]. 4500 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = K(u \ 1,u) * L(z,y,x). [para(31(a,2),4479(a,2,2))]. 4536 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4283,a,4452,a)]. 4537 T(x * (y / x),z) = x * (T(y,z) / x). [para(4536(a,1),17(a,1,2)),flip(a)]. 4538 T(x * y,z) / y = y \ T(y * x,z). [para(18(a,1),4536(a,1,2,1,2)),flip(a)]. 4539 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4536(a,2),19(a,1,1))]. 4542 T((x \ y) * x,z) / x = x \ T(y,z). [para(62(a,1),4536(a,1,2,1)),flip(a)]. 4547 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(120(a,1),4537(a,2,2,1))]. 4552 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4088(a,1),4537(a,2,2,1))]. 4554 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(220,a,755,a,b,4538,a),flip(a)]. 4555 T(x * (1 / y),z) / (1 / y) = y * T(y \ x,z). [hyper(220,a,762,a(flip),b,4538,a)]. 4556 (x \ T(x * y,z)) * x = T(y * x,z). [para(4538(a,1),19(a,1,1))]. 4559 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4538(a,1),3781(a,1,2))]. 4562 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(62(a,1),4539(a,1,1,2,1)),flip(a)]. 4565 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4542(a,1),214(a,1,1)),flip(b)]. 4572 x * R(y,x,y) = T(y * x,y). [hyper(220,a,3993,a(flip),b,4556,a(flip)),flip(a)]. 4573 x \ T(y * x,y) = R(y,x,y). [hyper(71,a,4556,a(flip),b,3993,a(flip))]. 4576 R(x,y,T(x,y)) = R(x,y,x). [hyper(20,a,960,a,b,4572,a),flip(a)]. 4577 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4572(a,1),31(a,2,2,2)),flip(a)]. 4578 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4572(a,1),1662(a,1,1))]. 4579 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4572(a,1),2324(a,2,1))]. 4580 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(220,a,170,a,b,4576,a(flip)),flip(a)]. 4581 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),4573(a,1,2,1)),flip(a)]. 4582 L(R(x,y,x),y,x) = x. [para(4573(a,1),383(a,1,1))]. 4583 (L(x,y,x) * y) * x = x * (y * x). [para(4582(a,1),424(a,1,1)),flip(a)]. 4584 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(220,a,4246,a,b,4581,a(flip)),flip(a)]. 4586 (x * (y * x)) / x = L(x,y,x) * y. [hyper(87,a,4583,a)]. 4587 x * T(y,x * y) = L(y,x,y) * x. [hyper(21,a,1107,a,b,4583,a),flip(a)]. 4589 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(18(a,1),4584(a,1,2)),flip(a)]. 4591 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(220,a,618,a(flip),b,4586,a)]. 4594 L(x,y,(y * x) / y) = L(x,y,x). [hyper(798,a,4587,a)]. 4595 T(x,y * x) = T(x,x * y). [hyper(20,a,614,a,b,4587,a)]. 4596 T(x,(x \ y) * x) = T(x,y). [hyper(20,a,618,a(flip),b,4587,a)]. 4601 T(x,T(y,y * x)) = T(x,y). [para(4595(a,1),3960(a,1,2))]. 4602 T(x,((y / (y / x)) * y) / x) = T(x,y). [hyper(220,a,4206,a,b,4596,a(flip)),flip(a)]. 4603 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4596(a,1),4078(a,1,1,2))]. 4607 T(x,L(y,x,y)) = T(x,y). [hyper(220,a,4095,a(flip),b,4601,a(flip)),flip(a)]. 4609 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4607(a,1),118(a,1,2))]. 4611 L(x \ y,x,y / x) = L(x \ y,x,x \ y). [para(17(a,1),4594(a,1,3,1))]. 4614 T((x \ y) * x,y) = (x \ y) * x. [para(117(a,1),4562(a,2,1,2))]. 4615 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4562(a,1),118(a,1,2))]. 4616 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(120(a,1),4562(a,2,1,2))]. 4617 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4562(a,2),3908(a,1,1,1,2))]. 4618 T(x,(y \ x) * y) = x. [hyper(38,a,4614,a)]. 4619 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4618(a,1),3947(a,1,1)),flip(a)]. 4622 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(220,a,4234,a,b,4609,a(flip)),flip(a)]. 4628 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4547(a,1),118(a,1,2)),flip(a)]. 4629 ((x / (x / y)) * x) / y = (y \ x) * T(y,x). [para(4204(a,2),4591(a,1,1))]. 4630 L(x \ y,x,x \ y) = T(y / x,y). [hyper(649,a,4611,a),flip(a)]. 4631 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(120(a,1),4615(a,1,2,1,2)),flip(a)]. 4633 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4616(a,1),155(a,1,1,2))]. 4635 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(4050,a,4619,a)]. 4636 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(4068(a,1),4635(a,1,1))]. 4637 K(x \ T(y,x),x) = K(x \ y,x). [para(155(a,1),4636(a,1,1,2)),flip(a)]. 4639 K(T(x,y) \ y,x) = K(x \ y,x). [hyper(220,a,4108,a,b,4637,a(flip)),flip(a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [para(4629(a,1),4602(a,1,2))]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1141(a,1,1))]. 4645 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(220,a,4236,a,b,4578,a(flip)),flip(a)]. 4646 T(x * y,x) * T(x,y) != z * u | z \ ((x * y) * R(x,y,x)) = u. [para(4578(a,2),485(a,1))]. 4649 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(220,a,4537,a,b,4552,a)]. 4651 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1244(a,1),4554(a,2,1,1))]. 4657 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(21,a,4562,a(flip),b,4603,a)]. 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3909,a,4628,a),flip(a)]. 4662 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(150(a,2),4628(a,2,2,2,1))]. 4663 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(220,a,3686,a,b,4631,a(flip)),flip(a)]. 4664 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(151(a,2),4631(a,1,1,1,2))]. 4665 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4633(a,1),214(a,1,1)),flip(b)]. 4666 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4645(a,1),4577(a,1,2))]. 4667 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(220,a,4216,a,b,4649,a(flip)),flip(a)]. 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4476(a,1),17(a,1,2))]. 4683 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(220,a,1092,a,b,4559,a(flip)),flip(a)]. 4684 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2645,a,4682,a)]. 4685 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(160,a,1300,a,b,4684,a)]. 4687 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4445(a,1),23(a,1))]. 4688 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4446(a,1),23(a,1))]. 4696 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4665,a,4683,a)]. 4706 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4500(a,1,2))]. 4707 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4706(a,1,2,2))]. 4708 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(396,a,4707,a)]. 4709 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(220,a,2513,a(flip),b,4708,a)]. 4711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2648(a,1),4708(a,1,1)),flip(a)]. 4715 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4711,a),flip(a)]. 4716 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(220,a,3257,a(flip),b,4711,a(flip)),flip(a)]. 4721 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4716(a,1),62(a,1,2,1)),flip(a)]. 4722 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(62(a,1),4716(a,1,1,2,1)),flip(a)]. 4724 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(4722(a,1),43(a,2,1))]. 4725 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(217(a,1),4722(a,2,1,2))]. 4726 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(400(a,1),4722(a,2,1,2))]. 4727 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4722(a,1),212(a,1,2))]. 4738 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1770(a,1),4715(a,1,1)),flip(a)]. 4739 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4738(a,1),3633(a,1,1)),flip(a)]. 4740 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4738(a,1),3642(a,1,1))]. 4741 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(220,a,1313,a(flip),b,4739,a(flip)),flip(a)]. 4742 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4725(a,1),103(a,1,2))]. 4747 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y). [hyper(71,a,4726,a(flip),b,180,a),flip(a)]. 4750 x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. [hyper(4727,a,2320,a)]. 4751 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(54(a,1),4747(a,2,2,1,2))]. 4752 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(220,a,4696,a(flip),b,4751,a(flip)),flip(a)]. 4754 (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). [para(2876(a,1),4750(a,1,2)),flip(a)]. 4755 x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. [para(16(a,1),4754(a,1,1,2,1)),flip(a)]. 4756 (x * K(y,z)) * z = x * (z * K(y,z)). [para(16(a,1),4755(a,1,2,2,1)),flip(a)]. 4757 R(x,K(y,z),z) = x. [hyper(2879,a,4756,a)]. 4759 (x * (y * K(z,y))) / y = x * K(z,y). [hyper(87,a,4756,a)]. 4760 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(78,a,4756,a)]. 4763 (x * y) \ ((y * x) * x) = K(y,x) * x. [para(4757(a,1),452(a,1,1))]. 4764 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(4759(a,1),214(a,1,1)),flip(b)]. 4766 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(654,a,4760,a)]. 4767 L(x,K(y,x),z) = x. [para(2857(a,1),4766(a,1,1))]. 4769 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(4767(a,1),392(a,1,2,1))]. 4770 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(4767(a,1),393(a,1,2,1))]. 4776 (x * y) / x = K(x,y) * y. [hyper(4245,a,4763,a)]. 4777 K(x,y) = x \ T(x,y). [hyper(3710,a,4776,a),flip(a)]. 4778 (x * y) / x = y * K(x,y). [hyper(220,a,2858,a(flip),b,4776,a)]. 4782 T(K(x,y) * y,x) = y. [para(4776(a,1),154(a,1,1))]. 4784 (x * y) / x != z | y * K(x,y) = z. [para(4776(a,2),2862(a,1))]. 4785 K(x,y) = T(y,x) \ y. [hyper(220,a,4060,a,b,4777,a)]. 4786 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(220,a,3985,a,b,4777,a),flip(a)]. 4787 (T(x,y) * z) / (x * z) = K(x,y). [hyper(220,a,3980,a,b,4777,a),flip(a)]. 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(220,a,3696,a,b,4777,a),flip(a)]. 4791 K(x,y) = T(x,y) / x. [hyper(220,a,2939,a,b,4777,a)]. 4792 K(x,y) = T(x,y) * (x \ 1). [hyper(220,a,812,a,b,4777,a)]. 4793 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(220,a,3770,a(flip),b,4777,a),flip(a)]. 4794 x * T(x \ 1,y) = K(x \ 1,y). [hyper(220,a,2942,a(flip),b,4777,a),flip(a)]. 4795 x * T(x \ 1,y) = K(1 / x,y). [hyper(220,a,815,a(flip),b,4777,a),flip(a)]. 4800 x \ T(x,y) = T(K(x,y),x). [hyper(220,a,3043,a,b,4777,a(flip))]. 4801 T(x,y) = x * K(x,y). [para(4777(a,2),17(a,1,2)),flip(a)]. 4802 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4777(a,2,2)),flip(a)]. 4803 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4777(a,2,2)),flip(a)]. 4804 x * K(x,y) != z | T(x,y) = z. [para(4777(a,2),208(a,1,2)),flip(b)]. 4805 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4777(a,2),105(a,1,1)),flip(a)]. 4809 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4777(a,2),1049(a,1,1))]. 4810 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1385(a,1),4777(a,2,2))]. 4812 T(x,y) = K(x,y) * x. [para(4777(a,2),2940(a,1,1)),flip(a)]. 4813 K(x,y) * x != z | T(x,y) = z. [para(4777(a,2),2946(a,1,1))]. 4815 (x * K(y,x)) * y = y * x. [para(4777(a,2),3690(a,1,1,2))]. 4816 (x \ y) * K(x,x \ y) = y / x. [para(4777(a,2),3692(a,1,2))]. 4817 x * K(y,x) != z | (y * x) / y = z. [para(4777(a,2),3705(a,1,2))]. 4818 x * (K(x,y) * z) = T(x,y) * z. [para(4777(a,2),3915(a,1,2,1))]. 4819 x \ T(x,y \ x) = K(x,x / y). [para(3940(a,1),4777(a,2,2)),flip(a)]. 4821 T(x,y) * (x \ z) = K(x,y) * z. [para(4777(a,2),3920(a,1,1)),flip(a)]. 4822 K(x,x \ y) * y = x * (y / x). [para(4777(a,2),3975(a,1,1))]. 4824 T(x * K(y,x),y) = x. [para(2858(a,1),4782(a,1,1))]. 4825 K(x,y) = ((y * x) / y) \ x. [hyper(220,a,3702,a,b,4785,a)]. 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(220,a,2837,a,b,4785,a)]. 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(220,a,905,a,b,4785,a)]. 4830 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(220,a,3478,a(flip),b,4785,a),flip(a)]. 4834 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4785,a,b,905,a),flip(a)]. 4835 T(x,y) * K(y,x) = x. [para(4785(a,2),17(a,1,2))]. 4836 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(43(a,2),4785(a,2,1)),flip(a)]. 4837 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4785(a,2,1)),flip(a)]. 4844 K(x,y) * T(y,x) = y. [para(4785(a,2),2844(a,1,1))]. 4845 T(x,y) = K(y,x) \ x. [para(4785(a,2),2845(a,1,1)),flip(a)]. 4847 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4785(a,2),3151(a,1,2))]. 4848 K(x \ K(x,y),x) = K(x \ 1,x). [para(4785(a,2),3214(a,1,1,2))]. 4849 K(x,y) * ((y * x) / y) = x. [para(4785(a,2),3703(a,1,1))]. 4850 x / (x / y) = y * K(y \ x,y). [para(4785(a,2),3727(a,2,2))]. 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4785(a,2),3994(a,2,1))]. 4853 K(x,y) * (y * x) = x * y. [para(4785(a,2),3999(a,1,1))]. 4856 x * (T(x,y) \ z) = K(y,x) * z. [para(4785(a,2),4262(a,1,1)),flip(a)]. 4857 K(x,y) * (T(y,x) * z) = y * z. [para(4785(a,2),4263(a,1,1))]. 4858 K(x \ 1,y) / x = T(1 / x,y). [hyper(72,a,4791,a,b,843,a(flip))]. 4861 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4791(a,2),841(a,1))]. 4862 K(x \ 1,x) * (K(x,y) * z) = ((x \ 1) * T(x,y)) * z. [para(4791(a,2),3369(a,1,2,1))]. 4866 T(x,y) != x * z | K(x,y) = z. [para(4801(a,2),22(a,1))]. 4869 x \ T(x,y) != z | K(x,y) = z. [para(4801(a,2),209(a,1,2)),flip(b)]. 4870 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4801(a,2),115(a,2,1))]. 4872 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4801(a,2),1310(a,1,2)),flip(a)]. 4873 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3038(a,1),4801(a,2,2)),flip(a)]. 4875 K(x,y) * (x * z) = T(x,y) * z. [para(4801(a,2),4020(a,1,1)),flip(a)]. 4876 x * (y * K(x,y)) = T(x,y) * y. [para(4801(a,2),4756(a,1,1)),flip(a)]. 4878 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(220,a,41,a,b,4812,a(flip))]. 4883 x * (K(y,x) * y) = y * x. [para(4812(a,1),118(a,1,2))]. 4897 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4824(a,1),173(a,1,2,1)),flip(a)]. 4898 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4824(a,1),354(a,1,1,2)),flip(a)]. 4899 (x * (y * K(z,y))) * T(y * K(z,y),z) = (x * y) * (y * K(z,y)). [para(4824(a,1),1103(a,1,1,2)),flip(a)]. 4904 T(K(x,y \ 1) / y,x) = 1 / y. [para(3823(a,1),4824(a,1,1))]. 4905 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4824(a,1),4087(a,1,2,1)),flip(a)]. 4909 T(x,y) \ x != z | K(y,x) = z. [para(4835(a,1),209(a,1,2)),flip(b)]. 4915 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4845(a,2),2232(a,1,2,1))]. 4916 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3784,a,4778,a)]. 4917 x \ (T(x * y,x) / y) = K(x * y,x). [hyper(958,a,4778,a)]. 4921 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4778,a,b,1181,a)]. 4922 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(25,a,4778,a)]. 4925 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(220,a,4256,a(flip),b,4778,a(flip))]. 4926 x \ T(x * y,y) = y * K(x * y,y). [hyper(220,a,3957,a(flip),b,4778,a(flip)),flip(a)]. 4928 T(x,y) * K(y,T(x,y)) = x. [hyper(220,a,155,a(flip),b,4778,a(flip))]. 4929 ((x * y) * K(y \ 1,x * y)) / y = (y \ 1) * (x / (y \ 1)). [hyper(72,a,4778,a(flip),b,3281,a(flip))]. 4930 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(114(a,1),4778(a,1,1))]. 4933 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4778(a,1),354(a,2,1)),flip(a)]. 4934 T(x * K(y * x,x),y) = R(x,y,x). [para(4778(a,1),656(a,2,1)),flip(a)]. 4935 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4778(a,1),697(a,1,1))]. 4936 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4778(a,1),705(a,1,1))]. 4938 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4778(a,1),621(a,1,1))]. 4944 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1651(a,1),4778(a,1,1))]. 4945 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1921(a,1),4778(a,1,1))]. 4948 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x * K(z,y),y). [para(4756(a,1),4778(a,1,1))]. 4952 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4792(a,2),396(a,1,2,2))]. 4953 T(x,L(x,y,z) * u) * K(u,T(x,L(x,y,z) * u)) = L(x,u,L(x,y,z)). [hyper(21,a,1349,a(flip),b,4815,a)]. 4955 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4815(a,1),429(a,1,1,1))]. 4960 K(x,y) / x = 1 / ((y * x) / y). [para(4825(a,2),2979(a,1,1))]. 4961 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(72,a,2474,a(flip),b,4827,a(flip))]. 4963 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3520(a,1),4827(a,2,1,2))]. 4965 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. 4968 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(220,a,559,a(flip),b,4834,a(flip)),flip(a)]. 4969 T(x,y) = 1 / (x \ K(y,x)). [para(4834(a,1),63(a,1,2)),flip(a)]. 4972 K(x \ y,x) * (y / x) = x \ y. [para(17(a,1),4849(a,1,2,1))]. 4976 K(x \ y,x) * y = (x \ y) * x. [hyper(555,a,4853,a)]. 4980 ((x * K(y,z)) * (z * y)) / (y * z) = R(x,K(y,z),z * y). [para(4853(a,1),33(a,2,2)),flip(a)]. 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4853(a,1,2))]. 4983 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4853(a,1),390(a,1,1))]. 4986 K(x,T(y,x)) = K(x,y). [hyper(20,a,4835,a,b,4928,a)]. 4987 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),4986(a,1,2))]. 4989 K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)). [para(45(a,2),4986(a,1,2))]. 4990 K(x,y / x) = K(x,x \ y). [para(120(a,1),4986(a,1,2)),flip(a)]. 4992 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(177(a,1),4986(a,1,2)),flip(a)]. 4993 K(x,y * K(x,y)) = K(x,y). [para(4824(a,1),4986(a,1,2)),flip(a)]. 5000 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(220,a,4222,a(flip),b,4990,a(flip))]. 5001 x * K(y,y \ x) = y * (x / y). [para(4990(a,1),235(a,1,2))]. 5002 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3038(a,1),4804(a,1,2))]. 5008 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3985(a,2),4869(a,1))]. 5009 T(K(x,y),x) != z | K(x,y) = z. [para(4800(a,1),4869(a,1))]. 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(43(a,2),4909(a,1,1))]. 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(45(a,2),4909(a,1,1))]. 5016 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4054(a,2),4909(a,1))]. 5018 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(2738(a,2),5009(a,1))]. 5019 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2739(a,1),5009(a,1))]. 5022 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4787(a,1),214(a,1,1)),flip(b)]. 5027 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2198,a,4794,a)]. 5030 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(220,a,2205,a(flip),b,4794,a(flip)),flip(a)]. 5031 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(220,a,1222,a(flip),b,4794,a(flip)),flip(a)]. 5032 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(220,a,1169,a(flip),b,4794,a(flip)),flip(a)]. 5035 L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x). [para(4794(a,1),526(a,1,2)),flip(a)]. 5037 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4794(a,1),758(a,1,2))]. 5039 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4794(a,1),1032(a,1,1))]. 5040 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4794(a,1),1168(a,1,2)),flip(a)]. 5043 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4794(a,1),1435(a,2,1))]. 5044 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4794(a,1),1613(a,1,1)),flip(a)]. 5045 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4794(a,1),2059(a,2,1,2))]. 5046 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4794(a,1),2203(a,1,1)),flip(a)]. 5052 (x * y) * T((x * y) \ y,z) = K(1 / x,z) * y. [para(4795(a,1),1414(a,2,1))]. 5059 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [para(4816(a,1),4759(a,1,1,2))]. 5061 x \ (T(x,y) * z) = K(x,y) * z. [hyper(78,a,4818,a)]. 5062 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,17,a(flip),b,4818,a),flip(a)]. 5063 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(20,a,4142,a,b,4818,a),flip(a)]. 5064 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,907,a,b,4818,a)]. 5066 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,4622,a(flip),b,4818,a)]. 5070 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4818(a,1),27(a,2,2,1)),flip(a)]. 5071 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(118(a,1),4818(a,1,2)),flip(a)]. 5072 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4818(a,1),209(a,1,2)),flip(b)]. 5074 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,K(x,y) * z,x). [para(4818(a,1),4573(a,1,2,1))]. 5075 K(x,x / y) = K(x,y \ x). [hyper(4869,a,4819,a),flip(a)]. 5076 K(x,(y \ x) \ x) = K(x,y). [para(63(a,1),5075(a,1,2)),flip(a)]. 5077 K(x,T(y,y \ x)) = K(x,y). [para(119(a,2),5076(a,1,2))]. 5078 K(x * y,T(x,y)) = K(x * y,x). [para(16(a,1),5077(a,1,2,2))]. 5082 (x \ y) * T(T(x,x \ y),z) = K(x,z) * y. [hyper(783,a,4821,a)]. 5083 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(782,a,4821,a)]. 5085 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(220,a,3052,a,b,4821,a)]. 5086 T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)). [hyper(71,a,118,a(flip),b,4821,a)]. 5087 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(220,a,4202,a,b,4821,a(flip)),flip(a)]. 5088 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4270,a(flip),b,4821,a(flip))]. 5090 K(x,y) * ((z \ x) * z) = T(x,y) * K(z \ x,z). [para(99(a,1),4821(a,1,2)),flip(a)]. 5092 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4777(a,2),4821(a,1,2)),flip(a)]. 5095 R(x,K(y,y \ z),z) * (y * (z / y)) = (x * K(y,y \ z)) * z. [para(4822(a,1),114(a,1,2))]. 5096 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4822(a,1),396(a,1,1))]. 5102 K(x,y) * K(x \ 1,x) != z | (x \ K(x,y)) * x = z. [para(4848(a,1),337(a,1,2))]. 5107 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4082(a,2),4850(a,1,2)),flip(a)]. 5108 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4637(a,1),4850(a,2,2))]. 5112 T(x,y) \ (x * z) = K(y,x) * z. [hyper(966,a,4856,a)]. 5113 (T(x,y) \ z) / (x \ z) = K(y,x). [hyper(929,a,4856,a)]. 5114 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(927,a,4856,a),flip(a)]. 5115 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(78,a,4856,a)]. 5120 T(x,y) * (K(y,x) * z) = x * z. [para(4856(a,1),899(a,1,2))]. 5122 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4856(a,1),927(a,1))]. 5124 T(K(x,y),T(y,x) * z) = (T(y,x) * z) \ (y * z). [hyper(160,a,4857,a,b,17,a)]. 5127 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4857(a,1),555(a,1))]. 5128 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4857(a,1),390(a,1,1)),flip(a)]. 5130 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(591(a,1),4858(a,1,1)),flip(a)]. 5132 K(x,y) \ x = x * K(y,x). [hyper(71,a,4835,a(flip),b,4875,a)]. 5133 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(45(a,2),4875(a,2,1))]. 5137 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4875(a,1),555(a,1))]. 5141 K(T(x,y),y) = K(x,y). [hyper(4179,a,5132,a)]. 5142 K(x,y) \ 1 = K(y,x). [hyper(3317,a,5132,a)]. 5147 K(x / y,y) = K(y \ x,y). [para(120(a,1),5141(a,1,1)),flip(a)]. 5148 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(119(a,1),5141(a,1,1))]. 5150 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(664(a,1),5141(a,1,1)),flip(a)]. 5151 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(659(a,1),5141(a,1,1)),flip(a)]. 5153 K(x,y) * K(y,x) = 1. [para(5141(a,1),4167(a,1,1))]. 5154 K(x,y) * z != 1 | K(y,x) = z. [para(5141(a,1),4176(a,1,1))]. 5155 K(x,y) \ 1 != z | K(y,x) = z. [para(5141(a,1),4177(a,1,1))]. 5156 K(x,T(y,x)) != z | K(x,y) = z. [para(5141(a,1),4181(a,1))]. 5161 1 / K(x,y) = K(y,x). [hyper(220,a,2432,a,b,5142,a(flip)),flip(a)]. 5163 1 / K(x,y) != z | K(y,x) = z. [para(5142(a,1),274(a,1,2)),flip(b)]. 5165 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5142(a,1),1547(a,2,2,1))]. 5167 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5142(a,1),4792(a,2,2)),flip(a)]. 5168 K(x,x \ y) \ 1 = K(y / x,x). [para(4990(a,1),5142(a,1,1))]. 5172 (x * (y / x)) \ y = K(x \ y,x). [hyper(220,a,102,a,b,5147,a(flip)),flip(a)]. 5183 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(886(a,1),5156(a,1,2))]. 5193 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(671(a,1),4960(a,2,2))]. 5194 1 / (x * K(y,x)) = K(x,y) / x. [para(4778(a,1),4960(a,2,2)),flip(a)]. 5199 (x * K(y \ z,y)) * z != u * ((y \ z) * y) | R(x,K(y \ z,y),z) = u. [para(4976(a,1),418(a,2,2))]. 5203 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5000(a,1),4822(a,1,1))]. 5206 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5001(a,1),31(a,2,1)),flip(a)]. 5212 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5062(a,1),22(a,1))]. 5213 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(119(a,1),5062(a,1,2,1))]. 5217 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),5088(a,1,2,1))]. 5219 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(4126,a,5112,a)]. 5221 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5112(a,1),208(a,1,2)),flip(b)]. 5228 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4835(a,1),5112(a,1,2)),flip(a)]. 5229 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5112(a,1),4856(a,1,2)),flip(a)]. 5237 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(971,a,5120,a)]. 5238 K(x,y) * (K(y,x) * z) = z. [hyper(20,a,4818,a(flip),b,5120,a)]. 5242 K(x,y) \ z = K(y,x) * z. [hyper(555,a,5238,a),flip(a)]. 5244 x / (K(y,z) * x) = K(z,y). [hyper(87,a,5238,a)]. 5245 K(x \ y,x) * (x * (y / x)) = y. [hyper(20,a,4822,a,b,5238,a)]. 5249 K(x,y) * z != u | K(y,x) * u = z. [para(5238(a,1),22(a,1)),flip(a)]. 5252 K(x,y) \ z != u | K(y,x) * z = u. [para(5238(a,1),209(a,1,2)),flip(b)]. 5253 x / (K(y,z) * x) != u | K(z,y) = u. [para(5238(a,1),272(a,1,1)),flip(b)]. 5255 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5238(a,1),105(a,2,1))]. 5256 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5238(a,1),105(a,2,2))]. 5258 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5238(a,1),390(a,1,1)),flip(a)]. 5265 K(x,y) * (K(y,x) * z) != u | u = z. [para(5242(a,1),208(a,1,2))]. 5267 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5242(a,1),217(a,1,1))]. 5273 K(x,y) != z | K(y,x) \ 1 = z. [para(5244(a,1),204(a,1)),flip(b)]. 5276 K(x / y,y) != z | K(y \ x,y) = z. [para(5168(a,1),5155(a,1))]. 5277 (x * (y / x)) * K(x \ y,x) = y. [para(5172(a,1),17(a,1,2))]. 5279 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4537(a,2),5172(a,1,1))]. 5281 (K(x,y) / x) \ 1 = x * K(y,x). [para(5194(a,1),66(a,1,1))]. 5286 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5245(a,1),4556(a,2,1))]. 5293 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1764(a,2),4963(a,2,1))]. 5295 K(x \ 1,y) != z | K(1 / x,y) = z. [para(524(a,1),5018(a,1,1))]. 5298 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2499(a,1),5265(a,1,2))]. 5305 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(755(a,1),4786(a,1,1))]. 5306 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(3351,a,4790,a)]. 5307 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1062,a,4790,a)]. 5309 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(220,a,2113,a(flip),b,4790,a(flip)),flip(a)]. 5310 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1390(a,2,2))]. 5312 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1540(a,1,2))]. 5314 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1977(a,2,1))]. 5316 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),1974(a,2,2))]. 5317 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2366(a,1,1))]. 5318 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(220,a,4777,a,b,4810,a)]. 5345 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4830(a,1),17(a,1,2)),flip(a)]. 5353 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(615(a,1),4852(a,1,2,1))]. 5355 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4778(a,1),4852(a,1,2,1))]. 5356 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4878(a,1),4813(a,1))]. 5358 x \ (y * T(y \ x,x)) = K(x * (1 / y),x). [para(4555(a,1),4917(a,1,2))]. 5362 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(220,a,4778,a(flip),b,4933,a),flip(a)]. 5364 T(x * K(x * y,x),y) = R(x,y,x). [hyper(220,a,4580,a(flip),b,4933,a)]. 5365 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4933,a,b,4778,a(flip))]. 5370 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4933(a,2),4784(a,1))]. 5374 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(17(a,1),5063(a,1,1,1)),flip(a)]. 5377 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(220,a,4091,a,b,5064,a),flip(a)]. 5380 ((x * y) / x) * (K(y,x) * z) = y * z. [para(5087(a,1),17(a,1,2))]. 5381 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(220,a,3050,a(flip),b,5092,a)]. 5390 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5229(a,1),114(a,2,1))]. 5391 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5229(a,1),555(a,1))]. 5394 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(87,a,5237,a)]. 5396 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(254(a,2),5237(a,1,2,2,1))]. 5407 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(71,a,2858,a(flip),b,5355,a),flip(a)]. 5412 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4857(a,1),5380(a,1,2))]. 5413 ((x * y) / x) * z = y * (K(x,y) * z). [para(5238(a,1),5380(a,1,2))]. 5415 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(893(a,1),5394(a,1,2))]. 5416 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1219(a,1),5394(a,1,2))]. 5429 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(220,a,4922,a(flip),b,5413,a(flip)),flip(a)]. 5430 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(17(a,1),5413(a,1,1,1)),flip(a)]. 5431 T(x,y) * (K(x * y,T(x,y)) * z) = R(x,y,T(x,y)) * z. [para(170(a,1),5413(a,1,1)),flip(a)]. 5439 R(x,K(y,x),z) = x. [hyper(4687,a,5429,a)]. 5442 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5439(a,1),423(a,1,1,1)),flip(a)]. 5446 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(220,a,3699,a(flip),b,4921,a(flip)),flip(a)]. 5447 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5446(a,1),1836(a,1,1,2))]. 5452 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(118(a,1),5022(a,1,2))]. 5456 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(5112(a,1),5127(a,1,2))]. 5458 (x \ y) * T(T(x,x \ y),z) != u | K(x,z) * y = u. [para(171(a,2),5137(a,1))]. 5459 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5115(a,1),5137(a,1,2))]. 5464 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2040(a,1),5221(a,1,2))]. 5467 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4777(a,2),4793(a,1,1)),flip(a)]. 5468 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(66(a,1),5467(a,2,1,2))]. 5469 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5467(a,2),118(a,1,2))]. 5470 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3806(a,1),5467(a,2,1))]. 5477 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5345(a,1),5468(a,1,2))]. 5480 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4815,a,b,4897,a),flip(a)]. 5486 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(220,a,4778,a(flip),b,4935,a),flip(a)]. 5487 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4935,a,b,4776,a(flip))]. 5489 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4936,a,b,4778,a(flip))]. 5490 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4936(a,2),4068(a,1,1))]. 5491 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4936(a,2),4825(a,2,1)),flip(a)]. 5492 K((x / y) \ 1,z) = K(y / x,z). [hyper(220,a,4786,a(flip),b,5031,a(flip))]. 5496 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(741(a,1),5031(a,1,1))]. 5497 K(1 / (x / y),z) = K(y / x,z). [hyper(5295,a,5492,a)]. 5502 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5492(a,1),5142(a,1,1)),flip(a)]. 5503 K(x / (y * x),z) = K(1 / y,z). [para(18(a,1),5497(a,1,1,2)),flip(a)]. 5504 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5497(a,1),3068(a,1))]. 5509 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5503(a,2),3068(a,1))]. 5510 K(x,(y / z) \ 1) = K(x,z / y). [hyper(220,a,5142,a(flip),b,5502,a)]. 5511 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5502(a,2),5155(a,1))]. 5514 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),5510(a,1,2,1)),flip(a)]. 5516 K(x,(y \ z) / z) = K(x,y \ 1). [para(63(a,1),5510(a,1,2,1)),flip(a)]. 5517 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(115(a,2),5510(a,1,2,1))]. 5523 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(17(a,1),5509(a,1,1,2))]. 5529 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1219(a,1),5032(a,1,2))]. 5531 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1085,a,5040,a)]. 5533 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(854,a,5040,a),flip(a)]. 5534 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(757,a,5040,a),flip(a)]. 5535 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(631,a,5040,a),flip(a)]. 5536 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(220,a,893,a(flip),b,5040,a(flip)),flip(a)]. 5547 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5016,a,5044,a)]. 5549 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(66(a,1),5547(a,2,1,1))]. 5551 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3041(a,1),5547(a,2,1))]. 5554 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5551(a,1),5161(a,1,2)),flip(a)]. 5559 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(220,a,1160,a(flip),b,5059,a(flip)),flip(a)]. 5560 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5083(a,2),161(a,2)),flip(a)]. 5563 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5108(a,1),4306(a,1,1,1))]. 5568 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5130(a,1),41(a,1,1)),flip(a)]. 5571 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(220,a,3748,a,b,5203,a)]. 5576 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5213(a,1),5265(a,1,2)),flip(b)]. 5577 K(x / (y \ 1),y) = K(y * x,y). [hyper(220,a,5219,a(flip),b,5305,a(flip))]. 5578 K(x * (y \ (x \ 1)),x) = K(y \ 1,x). [hyper(5523,a,5577,a),flip(a)]. 5589 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5365(a,1),208(a,1,2)),flip(b)]. 5596 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5249,a,5374,a)]. 5617 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(120(a,1),5469(a,1,2,2,1)),flip(a)]. 5621 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(220,a,5470,a(flip),b,5554,a(flip))]. 5622 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(220,a,2439,a(flip),b,5621,a(flip)),flip(a)]. 5623 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5621(a,1),4827(a,2,1)),flip(a)]. 5624 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5622(a,1),184(a,1,2)),flip(a)]. 5625 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5622(a,1),4828(a,2,2)),flip(a)]. 5626 K(K(x,y),z) = K(z,K(y,x)). [hyper(220,a,5167,a(flip),b,5623,a(flip)),flip(a)]. 5627 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5626(a,1),4801(a,2,2)),flip(a)]. 5628 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5626(a,1),4812(a,2,1)),flip(a)]. 5629 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5626(a,1),4875(a,1,1))]. 5631 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5625(a,1),5430(a,1,2)),flip(a)]. 5632 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5627(a,1),5265(a,1,2)),flip(b)]. 5634 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(18(a,1),5559(a,1,1)),flip(a)]. 5636 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5571(a,1),5244(a,1,2))]. 5643 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3520(a,1),4803(a,1,2,1)),flip(a)]. 5644 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3520(a,1),4837(a,1,1,1)),flip(a)]. 5654 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5031(a,1),5008(a,1))]. 5658 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3671(a,2),5293(a,2,1,2))]. 5659 T(x,K(y,y \ 1)) != z | z = x. [para(2667(a,1),5298(a,1))]. 5661 T(x / y,y) != z | y \ x = z. [para(1505(a,1),5659(a,1)),flip(b)]. 5662 T(x,x \ y) != z | (x \ y) \ y = z. [para(3053(a,1),5659(a,1)),flip(b)]. 5667 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(45(a,2),5662(a,1))]. 5677 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(2127(a,2),5632(a,1))]. 5678 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5167(a,1),5677(a,1))]. 5679 R(x,K(y,z),T(z,u)) = x. [hyper(418,a,4769,a)]. 5680 (x * K(y,z)) * T(z,y) = x * z. [para(4844(a,1),4769(a,2,2))]. 5681 (x / T(y,z)) * y = x * K(z,y). [hyper(1127,a,5680,a)]. 5683 (x * y) / T(y,z) = x * K(z,y). [hyper(87,a,5680,a)]. 5684 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,5680,a)]. 5685 (x / y) * K(z,y) = x / T(y,z). [hyper(72,a,19,a(flip),b,5680,a),flip(a)]. 5686 (x * T(y,z)) * K(z,y) = x * y. [hyper(21,a,1103,a(flip),b,5680,a)]. 5702 (x \ y) * K(y,x) = x \ T(y,x). [hyper(220,a,4657,a(flip),b,5683,a(flip))]. 5710 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(5685(a,1),269(a,1))]. 5713 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(160,a,5686,a,b,5238,a)]. 5717 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(71,a,17,a(flip),b,5686,a)]. 5719 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(5686(a,1),209(a,1,2)),flip(b)]. 5726 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5702(a,1,1)),flip(a)]. 5732 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(893(a,1),5717(a,1,1))]. 5733 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(742(a,1),5717(a,1,1))]. 5734 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1410(a,1),5717(a,1,1))]. 5740 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(17(a,1),5719(a,1,2))]. 5745 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(742(a,1),5740(a,1,1))]. 5751 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(220,a,2359,a,b,5027,a(flip)),flip(a)]. 5753 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4794(a,1),5027(a,1,1))]. 5754 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(66(a,1),5753(a,1,1,1)),flip(a)]. 5755 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5753(a,1),114(a,1,1))]. 5756 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3041(a,1),5753(a,1,1)),flip(a)]. 5757 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5754(a,1),5753(a,1,1)),flip(a)]. 5763 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4794(a,1),5030(a,1,1))]. 5765 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3041(a,1),5763(a,1,1)),flip(a)]. 5767 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5549(a,1),5763(a,1,1)),flip(a)]. 5769 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5765(a,1),5142(a,1,1)),flip(a)]. 5770 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5765(a,1),5242(a,1,1)),flip(a)]. 5772 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5037(a,2),1508(a,1,1))]. 5775 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5039(a,2),5043(a,1,2))]. 5776 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5046(a,1),5016(a,1))]. 5778 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(3039(a,1),5052(a,2,1))]. 5779 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(5085(a,1),22(a,1)),flip(a)]. 5788 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1061(a,1),5309(a,1,1))]. 5794 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4631(a,1),5415(a,1,2))]. 5795 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4663(a,1),5416(a,1,2))]. 5796 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5531(a,1),17(a,1,2))]. 5803 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5510(a,1),5617(a,1,1)),flip(a)]. 5806 T(T(x,K(y,z)),K(z,y)) = x. [hyper(20,a,5377,a,b,5629,a(flip)),flip(a)]. 5808 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5806(a,1),118(a,1,2)),flip(a)]. 5827 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(66(a,1),5775(a,1,2,1,1))]. 5829 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3041(a,1),5775(a,1,2,1))]. 5830 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5142(a,1),5796(a,1,2,2,1,1,2))]. 5831 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(21,a,5681,a,b,5035,a),flip(a)]. 5833 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4667(a,1),5831(a,1,2))]. 5838 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5242(a,1),5256(a,1,1))]. 5839 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(220,a,4248,a(flip),b,5267,a(flip))]. 5840 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1862,a,5447,a)]. 5841 (x * y) \ T(x,y) = (y * x) \ x. [hyper(220,a,4284,a(flip),b,5840,a(flip)),flip(a)]. 5842 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(220,a,333,a(flip),b,5841,a(flip))]. 5853 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(20,a,4715,a(flip),b,5486,a)]. 5854 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(20,a,4709,a(flip),b,5486,a)]. 5857 L(K(x,x \ 1),y,z) = K(x,L(x \ 1,u,w)). [hyper(220,a,4474,a,b,5853,a),flip(a)]. 5859 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(220,a,4467,a,b,5854,a),flip(a)]. 5860 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5854(a,2),2525(a,1,1))]. 5867 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5114(a,1),5576(a,1))]. 5868 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(890(a,2),5867(a,1))]. 5876 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5751(a,1),594(a,1,2))]. 5877 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(5776,a,5860,a)]. 5878 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(220,a,5859,a(flip),b,5877,a)]. 5880 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5878(a,2),5153(a,1,1))]. 5881 R(x,K(y,z),R(z,u,w)) = x. [hyper(418,a,4770,a)]. 5883 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [hyper(2537,a,4862,a)]. 5884 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5102,a,5883,a)]. 5885 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(220,a,2405,a(flip),b,4961,a)]. 5886 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3605,a,5885,a)]. 5887 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5589,a,5107,a)]. 5888 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4639(a,1),5887(a,1,1,2))]. 5889 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(220,a,4938,a(flip),b,5888,a(flip)),flip(a)]. 5890 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(5889(a,2),4616(a,1,1,1,2))]. 5899 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4790(a,1),5306(a,1,1))]. 5901 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3806(a,1),5899(a,1,1)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(220,a,5769,a(flip),b,5901,a(flip)),flip(a)]. 5907 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(298(a,1),5901(a,1,2,1)),flip(a)]. 5914 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(17(a,1),5307(a,1,2,2,1))]. 5925 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),5533(a,2,2))]. 5926 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4665,a,5536,a),flip(a)]. 5927 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(220,a,55,a(flip),b,5643,a)]. 5930 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5644(a,2),210(a,1))]. 5932 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(220,a,5884,a(flip),b,5658,a)]. 5933 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(118(a,1),5733(a,1,1,2))]. 5934 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(742(a,1),5733(a,1,1,2))]. 5935 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1219(a,1),5733(a,1,1,2))]. 5941 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5901(a,1),5770(a,1,1)),flip(a)]. 5943 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5941(a,2),83(a,1)),flip(b)]. 5946 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5769(a,2),5943(a,1))]. 5949 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(220,a,5794,a(flip),b,5795,a(flip))]. 5951 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(72,a,5886,a(flip),b,2487,a)]. 5955 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(220,a,1865,a,b,4965,a(flip)),flip(a)]. 5957 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5133(a,1),5253(a,1,2))]. 5959 T(x,y) * (K(x * y,x) * z) = R(x,y,T(x,y)) * z. [para(5078(a,1),5431(a,1,2,1))]. 5960 T(x,y) * K(x * y,x) = R(x,y,T(x,y)). [hyper(4424,a,5959,a(flip))]. 5961 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(220,a,4576,a(flip),b,5960,a)]. 5963 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5961,a(flip),b,4818,a),flip(a)]. 5964 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5961(a,1),5072(a,1,2))]. 5965 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2126,a,5963,a)]. 5967 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5963(a,1),2126(a,1))]. 5969 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(17(a,1),5965(a,1,1,1)),flip(a)]. 5975 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4938(a,1),5563(a,1,1)),flip(a)]. 5976 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(220,a,43,a,b,5975,a)]. 5977 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5976(a,1),47(a,1,1)),flip(a)]. 5980 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(66(a,1),5833(a,1,2,2)),flip(a)]. 5983 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5154,a,5880,a)]. 5984 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [para(378(a,1),5983(a,2,1))]. 5985 L(x,y,z) \ K(L(x,u,w),x \ 1) != v5 | 1 / L(x,y,z) = v5. [para(5983(a,1),1774(a,1,2))]. 5987 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,5984,a(flip),b,1760,a(flip))]. 5989 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,5987,a(flip),b,1776,a(flip)),flip(a)]. 5990 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(5987(a,1),4872(a,1,2)),flip(a)]. 5991 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(4685(a,2),5990(a,1,2))]. 5994 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3753,a,5991,a)]. 5995 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5994(a,1),19(a,1,1))]. 5996 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(160,a,5995,a,b,1300,a)]. 5999 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1659,a,4930,a),flip(a)]. 6000 (x * (y * K(z,y))) / (x * K(z,y)) != y * u | K(x * K(z,y),y) = u. [para(4948(a,2),22(a,1))]. 6005 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(118(a,1),5534(a,2,2))]. 6009 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(66(a,1),5734(a,1,1,1,2,1))]. 6011 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(484(a,1),5757(a,1,1,1)),flip(a)]. 6012 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(55(a,1),5772(a,2,2,2,1,2))]. 6014 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4794(a,1),6012(a,2,2))]. 6015 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(18(a,1),6014(a,1,1,1))]. 6018 ((x * y) * K(y \ 1,z)) / y != u | x * K(y \ 1,z) = u. [para(6015(a,1),272(a,1,1)),flip(b)]. 6019 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(6018,a,4929,a),flip(a)]. 6022 (x * K(y \ 1,x * y)) \ x = K(x / (y \ 1),y \ 1). [para(6019(a,1),102(a,1,1))]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(66(a,1),5827(a,2,1,1))]. 6041 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),6040(a,1,2,2)),flip(a)]. 6043 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(72,a,6041,a,b,xx)]. 6044 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6041,a,b,118,a)]. 6047 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3041(a,1),5829(a,2,1))]. 6049 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(16(a,1),6047(a,1,2,2)),flip(a)]. 6051 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(118(a,1),6049(a,2,2))]. 6059 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5040(a,2),5830(a,1,2))]. 6065 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5150(a,1),5999(a,1,2)),flip(a)]. 6066 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(220,a,4925,a(flip),b,6065,a)]. 6067 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),6066(a,1,1,1)),flip(a)]. 6069 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,6059,a)]. 6071 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6059(a,1),22(a,1))]. 6074 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6069(a,1),4556(a,1,1))]. 6075 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(16(a,1),6074(a,1,1,2,1)),flip(a)]. 6077 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6075(a,2),23(a,1))]. 6087 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5238(a,1),5206(a,1,2,2)),flip(a)]. 6088 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(118(a,1),5745(a,1,1,2))]. 6089 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(793(a,1),5745(a,1,1,2))]. 6091 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4596(a,1),6067(a,1,1)),flip(a)]. 6092 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(220,a,3962,a(flip),b,6091,a)]. 6094 (x * (y * K(z,y))) * y = (x * y) * (y * K(z,y)). [para(4824(a,1),4899(a,1,2))]. 6095 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(21,a,4756,a,b,6094,a),flip(a)]. 6097 L(K(x,y),y,z) = K(x,y). [hyper(388,a,6095,a)]. 6098 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(271,a,6095,a),flip(a)]. 6107 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(220,a,5907,a(flip),b,6097,a(flip)),flip(a)]. 6110 L(K(x,y),x,z) = K(y,x) \ 1. [para(6097(a,1),5906(a,1,1)),flip(a)]. 6111 L(K(x,y),x,z) = K(x,y). [hyper(220,a,5142,a(flip),b,6110,a)]. 6112 L(K(x,y),x,z) != u | K(x,y) = u. [para(6110(a,2),5155(a,1))]. 6115 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(220,a,5765,a,b,6111,a(flip)),flip(a)]. 6116 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(220,a,4805,a,b,6111,a(flip)),flip(a)]. 6121 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [hyper(220,a,5717,a,b,6107,a),flip(a)]. 6126 K(x,y \ (y / z)) = K(x,z \ 1). [para(66(a,1),6107(a,1,2,1)),flip(a)]. 6133 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6107(a,1),5312(a,1,2))]. 6134 K(x,y / z) * y = y * K(x,z \ y). [para(6107(a,1),5803(a,1,2)),flip(a)]. 6136 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6107(a,1),5899(a,1,1)),flip(a)]. 6137 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4777(a,1),6112(a,1,1))]. 6139 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(220,a,333,a(flip),b,6116,a(flip)),flip(a)]. 6140 (x * y) * K(y,z) = x * T(y,z). [para(6116(a,1),17(a,1,2))]. 6141 ((x / T(y,z)) * y) \ x = K(y,z). [para(19(a,1),6116(a,1,2))]. 6142 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6116(a,1),208(a,1,2)),flip(b)]. 6152 (x * K(y,z)) / T(y,z) = x / y. [hyper(506,a,6140,a)]. 6153 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(496,a,6140,a)]. 6154 x * T(x \ y,z) = y * K(x \ y,z). [hyper(479,a,6140,a),flip(a)]. 6155 (x / y) * T(y,z) = x * K(y,z). [hyper(271,a,6140,a),flip(a)]. 6157 (x \ y) * T(T(x,x \ y),z) = y * K(T(x,x \ y),z). [para(157(a,1),6140(a,1,1)),flip(a)]. 6160 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6140(a,1),452(a,1,2))]. 6161 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6140(a,1),421(a,1,1))]. 6164 (x * K(y,z)) * K(u,K(z,y)) = x * T(K(y,z),u). [para(5626(a,1),6140(a,1,2))]. 6165 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6140(a,1),5680(a,1,1))]. 6169 (x * K(y,z)) \ x = K(z,y). [para(5681(a,1),6141(a,1,1))]. 6171 K(x / (y \ 1),y \ 1) = K(x * y,y \ 1). [hyper(220,a,6022,a(flip),b,6169,a(flip)),flip(a)]. 6172 (x * K(y,z)) * K(z,y) = x. [para(6169(a,1),17(a,1,2))]. 6173 x / K(y,z) = x * K(z,y). [para(6169(a,1),63(a,1,2))]. 6174 x * K(y,z) != u | u * K(z,y) = x. [para(6169(a,1),86(a,1,2)),flip(b)]. 6175 (x * K(y,z)) * K(z,y) != u | u = x. [para(6169(a,1),208(a,1,2))]. 6176 x / K(y,z) != u | x * K(z,y) = u. [para(6169(a,1),274(a,1,2)),flip(b)]. 6179 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6169(a,2),5242(a,1,1))]. 6182 K(x,L(y \ 1,z,u) \ 1) = (w * L(K(y,x),z,u)) \ w. [para(5765(a,1),6169(a,1,1,2)),flip(a)]. 6187 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(160,a,6172,a,b,5238,a)]. 6190 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(21,a,5808,a,b,6172,a)]. 6192 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(21,a,5634,a,b,6172,a)]. 6194 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(21,a,2122,a,b,6172,a)]. 6197 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6172(a,1),209(a,1,2)),flip(b)]. 6205 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6172(a,1),4756(a,1,1)),flip(a)]. 6206 (x * K(y,z)) * y = x * T(y,z). [para(6172(a,1),5680(a,1,1)),flip(a)]. 6207 R(x * K(y,z),K(z,y),y * z) = (x * (y * z)) / (z * y). [para(6172(a,1),4980(a,1,1,1)),flip(a)]. 6208 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6173(a,1),219(a,1,1))]. 6212 T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)). [para(6152(a,1),120(a,1,1)),flip(a)]. 6213 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6152(a,1),207(a,1,1)),flip(b)]. 6215 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6153(a,1),818(a,1,1,2)),flip(a)]. 6218 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6153(a,1),5636(a,1,1))]. 6219 T(x,y \ (y / z)) = (u / x) \ (u * K(x,z \ 1)). [para(6126(a,1),6153(a,1,2,2)),flip(a)]. 6224 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(6155(a,1),161(a,2))]. 6231 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,6155,a(flip),b,6206,a)]. 6232 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1153,a,b,6206,a)]. 6233 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,118,a,b,6206,a(flip)),flip(a)]. 6234 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [hyper(71,a,6206,a(flip),b,5680,a)]. 6236 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6206(a,1),27(a,2,1,2)),flip(a)]. 6237 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6206(a,1),150(a,2,1))]. 6259 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4861,a,6115,a)]. 6260 K(((x * y) \ x) \ 1,z) = K(y,z). [para(150(a,1),6115(a,1,1,1))]. 6261 K((x \ y) \ 1,z) = K(y \ x,z). [para(298(a,1),6115(a,1,1,1))]. 6267 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6260(a,1),4873(a,1,2))]. 6270 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(220,a,5529,a,b,6261,a(flip)),flip(a)]. 6275 K(x \ (x / y),z) = K(y \ 1,z). [para(66(a,1),6261(a,1,1,1)),flip(a)]. 6281 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6261(a,1),5531(a,2,2))]. 6283 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6261(a,1),5926(a,1,2))]. 6284 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6261(a,1),6005(a,1,2))]. 6299 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(4921(a,1),6275(a,1,1))]. 6311 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(220,a,3056,a,b,6299,a(flip)),flip(a)]. 6312 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(220,a,3038,a,b,6311,a)]. 6313 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(63(a,1),6312(a,1,1,1))]. 6316 x * (T(y,x) * K(z,y)) = (y * x) * K(z,y). [hyper(220,a,5412,a(flip),b,6098,a(flip)),flip(a)]. 6321 T(K(x,y / z),y) = K(x,z \ y). [hyper(160,a,6134,a,b,xx)]. 6324 x * K(y,(z * x) \ x) = K(y,z \ 1) * x. [para(5514(a,1),6134(a,1,1)),flip(a)]. 6325 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(6321(a,1),4072(a,1,2)),flip(a)]. 6327 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(400(a,1),6137(a,1))]. 6328 K(x * (1 / y),x) = K(y \ x,x). [hyper(220,a,5358,a(flip),b,6139,a(flip)),flip(a)]. 6329 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K((x * y) \ (x * (y * z)),u). [para(31(a,2),6139(a,1,2,2,1))]. 6330 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6139(a,1),400(a,1,1))]. 6332 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [para(742(a,1),6139(a,1,2))]. 6333 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * (1 / (1 / K(z \ (x * y),u))). [para(6139(a,1),2428(a,1,2,2,2)),flip(a)]. 6335 K((x \ 1) \ y,y) = K(y * x,y). [para(63(a,1),6328(a,1,1,2)),flip(a)]. 6336 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5560,a,6154,a),flip(a)]. 6341 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6154(a,1),5745(a,1,1,2))]. 6342 K((x \ y) \ y,y) = K(x,y). [hyper(220,a,2856,a(flip),b,6336,a)]. 6343 T(K(x / y,z),x) = K(y \ x,z). [para(66(a,1),6336(a,1,1,1)),flip(a)]. 6344 K(x / y,x) = K(y \ x,x). [para(66(a,1),6342(a,1,1,1)),flip(a)]. 6348 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,103,a(flip),b,6165,a)]. 6349 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1343(a,1),6165(a,1,1))]. 6359 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6187(a,1),5806(a,1,1))]. 6362 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(72,a,4756,a(flip),b,6205,a)]. 6364 ((x / y) * K(y,z)) \ x = y * K(z,y). [hyper(71,a,19,a(flip),b,6205,a)]. 6371 T(K(x,y),x * z) = K(T(x,z),y). [hyper(160,a,4875,a,b,6232,a)]. 6373 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6232(a,1),6169(a,1,1))]. 6397 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6364(a,1),269(a,1,1,2))]. 6398 T(K(x,y),T(y,x) * z) = K(x,T(y,z)). [hyper(220,a,5124,a,b,6373,a(flip)),flip(a)]. 6400 K(x,T(y,T(y,x) \ z)) = T(K(x,y),z). [para(17(a,1),6398(a,1,2)),flip(a)]. 6412 K(L(x,x \ 1,y),z) = K(x,z). [para(63(a,1),6313(a,2,1))]. 6418 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6121(a,1),5740(a,1))]. 6420 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6418(a,1,2,1))]. 6423 (x * y) * L((x \ z) / y,y,x) = z * K(y,(x * y) \ z). [para(713(a,2),6133(a,2,2)),flip(a)]. 6426 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5276,a,6171,a)]. 6429 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(220,a,5086,a(flip),b,6212,a(flip)),flip(a)]. 6430 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(6429(a,1),17(a,1,2))]. 6431 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(18(a,1),6430(a,1,2,1)),flip(a)]. 6436 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5726,a(flip),b,6281,a(flip))]. 6437 K((x \ 1) \ y,y) = K(x * y,y). [hyper(20,a,4926,a(flip),b,6281,a(flip))]. 6440 K((1 / x) \ y,x) = K(x * y,x). [hyper(220,a,3829,a,b,6436,a(flip)),flip(a)]. 6442 K(x * y,y) = K(y * x,y). [hyper(220,a,6335,a(flip),b,6437,a(flip))]. 6448 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6442(a,2),5963(a,1,2))]. 6451 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6206(a,1),6448(a,1,2,1))]. 6452 x * (K(y,z) * T(z,x)) = (z * x) * K(y,z). [para(2863(a,1),6316(a,1,2))]. 6462 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(220,a,4228,a(flip),b,6426,a(flip))]. 6463 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(6426(a,1),234(a,1,2)),flip(a)]. 6464 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6462(a,1),5477(a,1,2,2))]. 6471 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(793(a,1),6327(a,1,2))]. 6473 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(742(a,1),6327(a,1,2))]. 6479 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(4646,a,6349,a)]. 6480 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(220,a,4666,a(flip),b,6479,a(flip)),flip(a)]. 6486 (x * K(y,z)) * T(K(z,y),u) = x * K(u,K(y,z)). [para(6172(a,1),6164(a,1,1)),flip(a)]. 6490 T(x,y \ (y / z)) = T(x,z \ 1). [hyper(220,a,6153,a(flip),b,6219,a)]. 6492 T(x,(y \ z) \ 1) = T(x,z \ y). [para(63(a,1),6490(a,1,2,2)),flip(a)]. 6498 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6492(a,1),5662(a,1))]. 6500 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4752(a,1),6270(a,1,2))]. 6505 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(20,a,6283,a,b,6284,a)]. 6514 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = z * K(z * (x \ y),y \ x). [para(6107(a,1),6463(a,2,2))]. 6515 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(220,a,5477,a(flip),b,6464,a(flip))]. 6516 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6515(a,2),5167(a,1,1))]. 6518 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5677,a,6516,a),flip(a)]. 6519 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5678,a,6518,a),flip(a)]. 6521 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(220,a,5881,a(flip),b,6208,a(flip))]. 6522 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(220,a,5679,a(flip),b,6208,a(flip))]. 6524 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5066(a,1),6522(a,1,2)),flip(a)]. 6530 x * K(T(y,y \ x),z) = K(y,z) * x. [hyper(5458,a,6157,a),flip(a)]. 6531 K(x,T(y,y \ z)) = (K(y,x) * z) \ z. [para(6530(a,1),6169(a,1,1)),flip(a)]. 6532 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(5946,a,6182,a),flip(a)]. 6533 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6532(a,1),17(a,1,2))]. 6537 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),6532(a,1,1))]. 6538 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(384(a,1),6532(a,1,1))]. 6539 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(21,a,103,a,b,6533,a)]. 6541 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6539(a,1),209(a,1,2)),flip(b)]. 6542 (x * (y \ K(y,z))) * L(K(z,y),y \ 1,x) = x * (y \ 1). [para(3334(a,1),6539(a,1,1,2))]. 6544 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(627,a,6259,a),flip(a)]. 6547 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1838(a,1),6544(a,2,2))]. 6552 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(220,a,43,a,b,6348,a)]. 6558 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4824(a,1),6552(a,2,1))]. 6560 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6237(a,2),4952(a,1))]. 6561 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6471,a,6500,a),flip(a)]. 6568 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(6420,a,6136,a),flip(a)]. 6569 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(17(a,1),6568(a,2,2,1))]. 6570 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(17(a,1),6568(a,2,2,2))]. 6571 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(66(a,1),6568(a,1,1,2)),flip(a)]. 6572 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(105(a,2),6568(a,2,2))]. 6573 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6112,a,6572,a),flip(a)]. 6576 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(400(a,1),6573(a,1,2)),flip(a)]. 6584 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6569(a,1),43(a,2,1))]. 6585 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6569(a,1),103(a,1,2))]. 6587 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6571(a,1,2))]. 6588 K(x,L(y,z / y,u)) = (u * (z * K(y,x))) \ (u * z). [hyper(220,a,6537,a,b,6587,a)]. 6589 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),6587(a,1,2,2)),flip(a)]. 6590 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6587(a,2),103(a,1,2))]. 6596 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6588(a,2),6541(a,1))]. 6597 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6596(a,1,2))]. 6600 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(63(a,1),6597(a,1,2,1,2))]. 6606 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6585(a,1),22(a,1)),flip(a)]. 6619 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5229(a,1),4983(a,1,2))]. 6620 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5310(a,1),5316(a,1,1))]. 6623 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3806(a,1),6620(a,1,1,2)),flip(a)]. 6625 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3806(a,1),6623(a,1,2)),flip(a)]. 6626 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(485,a,6625,a)]. 6627 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = ((z \ 1) * K(y,z)) / (z \ 1). [para(6626(a,1),713(a,2,1,2))]. 6628 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6043(a,1),5496(a,2,1,1))]. 6646 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(17(a,1),5788(a,1,1,2,2,1))]. 6647 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(220,a,5510,a(flip),b,6646,a)]. 6648 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6646(a,2),5511(a,1))]. 6649 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6647(a,1),439(a,1,1))]. 6652 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4752(a,1),5935(a,1,1,2))]. 6656 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5955(a,1),17(a,1,2))]. 6657 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(220,a,47,a(flip),b,5977,a)]. 6662 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6155(a,1),6009(a,1,1,1)),flip(a)]. 6663 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6662(a,2),17(a,1,2))]. 6667 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6231(a,1),6663(a,1,2,2))]. 6670 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6667(a,2),485(a,1))]. 6671 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6172(a,1),6667(a,1,1,1))]. 6673 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(6174,a,6671,a(flip))]. 6675 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6671(a,2),6206(a,1,1))]. 6678 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(4764,a,6675,a)]. 6683 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(220,a,4769,a(flip),b,6678,a)]. 6684 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2863(a,2),6683(a,2,2))]. 6698 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4015(a,1),6011(a,1,1)),flip(a)]. 6699 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5654,a,6698,a)]. 6701 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(66(a,1),6699(a,1,1,2,1)),flip(a)]. 6702 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(112(a,2),6699(a,1,1))]. 6704 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(16(a,1),6702(a,1,1,2)),flip(a)]. 6705 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6702(a,2),114(a,1,1))]. 6713 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(654,a,6044,a)]. 6714 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6713(a,1),5767(a,1,1,1)),flip(a)]. 6715 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(220,a,5549,a(flip),b,6714,a)]. 6722 x * K(x * (y \ 1),1 \ y) = (y \ x) * y. [hyper(220,a,3004,a(flip),b,6514,a(flip))]. 6723 x * K(x * (y \ 1),y) = (y \ x) * y. [para(54(a,1),6722(a,1,2,2))]. 6724 K(x * (y \ 1),y) = K(y \ x,y). [hyper(20,a,234,a,b,6723,a)]. 6726 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(220,a,5151,a(flip),b,6724,a(flip)),flip(a)]. 6733 K(R(x,y,y \ 1),y) = K(x,y). [hyper(220,a,580,a(flip),b,6726,a)]. 6735 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6733(a,1),5193(a,1,1))]. 6736 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4875(a,1),6619(a,1,2,2)),flip(a)]. 6737 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6736(a,2),681(a,1))]. 6740 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [para(4944(a,1),656(a,2,1)),flip(a)]. 6741 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4944(a,1),805(a,1,1,1))]. 6742 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(5370,a,6740,a)]. 6744 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4955,a,4945,a)]. 6745 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4945(a,1),656(a,2,1)),flip(a)]. 6746 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5370,a,6745,a)]. 6747 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6744(a,1),1656(a,1,1,2)),flip(a)]. 6748 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(755(a,1),5045(a,1,2))]. 6754 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3746(a,1),5980(a,2,2))]. 6755 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(220,a,3751,a(flip),b,6754,a(flip))]. 6756 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3083(a,1),6755(a,1,2,2)),flip(a)]. 6757 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3083(a,1),6756(a,1,1,1)),flip(a)]. 6758 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6757(a,1),66(a,1,1))]. 6759 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(120(a,1),6758(a,1,1,1,1))]. 6760 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(120(a,1),6759(a,2,2))]. 6765 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(220,a,6332,a(flip),b,6330,a)]. 6766 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6330(a,2),6473(a,1))]. 6768 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6561(a,1),6765(a,1,1))]. 6770 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6766,a,6768,a),flip(a)]. 6771 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(17(a,1),6770(a,2,1,1))]. 6772 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(63(a,1),6771(a,1,1,1,2))]. 6773 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6772(a,1),5684(a,1,1,2)),flip(a)]. 6774 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(220,a,5684,a(flip),b,6773,a)]. 6776 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5842(a,1),6774(a,1,2))]. 6778 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,(x / y) \ x). [para(6490(a,1),6776(a,1,2,2))]. 6781 T(x / (y \ 1),(x / (y \ 1)) \ T(x,y)) = T(x / (y \ 1),(x / (y \ 1)) \ x). [para(3083(a,1),6778(a,1,2,2))]. 6782 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6538(a,1),6341(a,1))]. 6798 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4915,a(flip),b,4856,a),flip(a)]. 6805 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(118(a,1),5934(a,1,1,2,2))]. 6806 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4742(a,2),6805(a,1,1))]. 6818 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6140(a,1),6161(a,1,2)),flip(a)]. 6819 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6818(a,2),429(a,1))]. 6824 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4905(a,1),6558(a,1,1,2))]. 6825 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4876(a,1),6824(a,1,2,2))]. 6830 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(220,a,4628,a(flip),b,4662,a(flip))]. 6831 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3678(a,2),4664(a,1,1))]. 6837 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5314(a,1),5317(a,2,1))]. 6838 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,114,a,b,6837,a),flip(a)]. 6840 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(21,a,3589,a(flip),b,6837,a)]. 6843 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6840(a,2),5293(a,2,1,2))]. 6845 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3806(a,1),6838(a,1,1)),flip(a)]. 6846 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5510(a,1),6838(a,1,1)),flip(a)]. 6860 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(220,a,5517,a(flip),b,6846,a(flip))]. 6862 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),6860(a,2,2,1))]. 6864 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(63(a,1),6860(a,1,1,2)),flip(a)]. 6867 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(112(a,2),6864(a,1,2))]. 6872 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(220,a,4989,a(flip),b,6867,a(flip)),flip(a)]. 6873 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),6867(a,1,2,2)),flip(a)]. 6874 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(35(a,2),6867(a,1,2,2)),flip(a)]. 6882 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6873(a,1),5390(a,1,1))]. 6890 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4986(a,1),6872(a,2,1))]. 6895 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(220,a,5884,a(flip),b,6843,a)]. 6900 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(20,a,5932,a(flip),b,6895,a(flip)),flip(a)]. 6902 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3724,a,6900,a),flip(a)]. 6903 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6902(a,1),1334(a,1,2))]. 6904 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(220,a,241,a(flip),b,6903,a(flip)),flip(a)]. 6906 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(220,a,3510,a(flip),b,6904,a(flip)),flip(a)]. 6907 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1658,a,6906,a)]. 6908 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(160,a,6906,a,b,1330,a)]. 6910 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(25,a,6907,a)]. 6931 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5622(a,1),5624(a,1,3)),flip(a)]. 6932 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6931(a,1),23(a,1))]. 6934 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4079(a,1),5890(a,2,1,2))]. 6935 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(6934(a,2),4565(a,1))]. 6937 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(6089,a,6652,a),flip(a)]. 6938 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(17(a,1),6937(a,2,2,1))]. 6943 (x * (y * z)) \ (x * (y * T(z,u))) = K((x * y) \ (x * (y * z)),u). [para(392(a,1),6329(a,1,2))]. 6944 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(31(a,2),6943(a,2,1))]. 6945 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(6944(a,1),17(a,1,2))]. 6946 (x * (y * z)) \ (x * (z * y)) = K(L(z,y,x),y). [para(118(a,1),6944(a,1,2,2))]. 6947 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6946(a,1),63(a,1,2))]. 6949 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6176,a,6947,a)]. 6950 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(71,a,6947,a(flip),b,6173,a(flip))]. 6951 (x * (y * z)) \ (x * (z * y)) != u | K(L(z,y,x),y) = u. [para(6947(a,1),207(a,1,1)),flip(b)]. 6954 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(6945(a,1),6169(a,1,1))]. 6958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6950(a,1),6951(a,1))]. 6964 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),6741(a,2,1,1))]. 6965 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4721(a,2),6830(a,1,2))]. 6966 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(216,a,6831,a),flip(a)]. 6976 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(212,a,6965,a),flip(a)]. 6977 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,4579,a(flip))]. 6978 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2522(a,1),6977(a,1,1)),flip(a)]. 6979 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(72,a,6978,a(flip),b,997,a)]. 6981 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2525(a,1),6979(a,1,1))]. 6982 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(220,a,6735,a(flip),b,6981,a(flip)),flip(a)]. 6983 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1300(a,1),6982(a,1,2,1))]. 6984 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6983(a,1),66(a,1,1)),flip(a)]. 6985 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(277,a,6984,a)]. 6986 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(78,a,6984,a)]. 6987 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6984(a,1),3168(a,1,2)),flip(a)]. 6988 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(220,a,4375,a(flip),b,6985,a(flip)),flip(a)]. 6989 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(220,a,4740,a(flip),b,6988,a)]. 6990 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(6989(a,2),6986(a,1,1))]. 6991 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(155(a,1),4617(a,1,1)),flip(a)]. 6993 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4785(a,2),6991(a,1,1,2,2)),flip(a)]. 6994 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4785(a,2),6993(a,1,2)),flip(a)]. 6995 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [hyper(220,a,6140,a(flip),b,6994,a)]. 6996 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(21,a,6206,a,b,6995,a)]. 6997 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,6092,a,b,6995,a),flip(a)]. 6998 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6996(a,1),17(a,1,2))]. 7000 (x * y) * K(x,z) = x * (y * K(x,z)). [para(16(a,1),6998(a,1,2,1)),flip(a)]. 7001 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6606,a,7000,a),flip(a)]. 7002 R(x,y,K(x,z)) = x. [hyper(4688,a,7000,a)]. 7003 L(K(x,y),z,x) = K(x,y). [hyper(388,a,7000,a)]. 7004 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(220,a,5071,a,b,7000,a),flip(a)]. 7006 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7000(a,1),6206(a,1,1))]. 7007 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7002(a,1),49(a,1,1)),flip(a)]. 7009 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7002(a,1),424(a,1,1,1)),flip(a)]. 7013 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7002(a,1),6705(a,1,1,1)),flip(a)]. 7014 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6782,a,7003,a)]. 7015 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(220,a,16,a,b,7003,a)]. 7026 R(x,y,T(x,z)) = R(x,y,x). [hyper(6819,a,7007,a)]. 7027 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7007(a,1),326(a,1,1)),flip(a)]. 7031 R(x,y,T(x,z)) * u = u * R(T(x,u),y,x). [para(7026(a,2),173(a,2,1)),flip(a)]. 7035 L(K(x,y),z,x) != u | K(x,y) = u. [para(7015(a,2),209(a,1)),flip(b)]. 7039 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6589(a,1),7035(a,1))]. 7040 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6570(a,1),7035(a,1))]. 7042 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6087(a,1),7039(a,1,2))]. 7043 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(17(a,1),7001(a,2,2,2))]. 7044 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(220,a,5732,a,b,7014,a(flip)),flip(a)]. 7045 (x / y) \ (x * K(y,z \ (y \ u))) = T(y,(y * z) \ u). [para(7014(a,1),6153(a,1,2,2))]. 7046 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(220,a,5407,a,b,6997,a)]. 7047 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4581(a,1),7046(a,1,2))]. 7048 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(6224,a,7004,a)]. 7052 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(17(a,1),7048(a,1,1,1))]. 7053 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(155(a,1),7048(a,1,1)),flip(a)]. 7064 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(220,a,6429,a,b,7052,a(flip)),flip(a)]. 7065 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(331(a,1),7064(a,2,1))]. 7068 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7006(a,1),6236(a,1,2))]. 7071 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(538,a,7031,a)]. 7072 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(220,a,4127,a(flip),b,7071,a)]. 7075 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(220,a,119,a(flip),b,7072,a)]. 7076 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7047(a,1),66(a,1,1))]. 7077 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5407(a,1),7076(a,1,1))]. 7078 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4778(a,2),7077(a,1,1,2))]. 7081 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(388,a,7013,a)]. 7084 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(220,a,6589,a(flip),b,7081,a(flip)),flip(a)]. 7085 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7081(a,1),43(a,2,1))]. 7087 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5255(a,1),7084(a,1,2)),flip(a)]. 7088 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(220,a,6715,a(flip),b,7085,a(flip)),flip(a)]. 7090 T(K(x,y),z * x) = T(K(x,y),x * z). [para(4853(a,1),7088(a,1,2)),flip(a)]. 7092 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5238(a,1),7088(a,1,2)),flip(a)]. 7095 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(78,a,7027,a)]. 7097 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(18(a,1),7044(a,1,1,1,1,2))]. 7098 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4631(a,1),7044(a,1,1))]. 7100 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(6088,a,7098,a)]. 7101 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(220,a,6806,a(flip),b,7098,a(flip)),flip(a)]. 7102 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6600,a,7100,a)]. 7103 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(220,a,5914,a,b,7100,a(flip)),flip(a)]. 7104 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(31(a,2),7100(a,1,2)),flip(a)]. 7105 (x * y) * L((x \ z) / y,y,x) = z * K(y,x \ (y \ z)). [para(7100(a,1),6423(a,2,2))]. 7106 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7103(a,1),6976(a,2,2))]. 7107 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(220,a,7043,a(flip),b,7102,a)]. 7108 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(19(a,1),7101(a,1,2,1,2)),flip(a)]. 7110 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(7101(a,1),6169(a,1,1,2))]. 7111 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(388,a,7009,a)]. 7112 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7009(a,1),6197(a,1,1))]. 7114 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [hyper(6213,a,7045,a),flip(a)]. 7116 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(118(a,1),7114(a,1,2,1)),flip(a)]. 7118 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(16(a,1),7097(a,1,1,1,1)),flip(a)]. 7119 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(220,a,457,a(flip),b,7065,a(flip))]. 7120 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(7119(a,2),6051(a,1,2))]. 7122 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(212,a,7105,a),flip(a)]. 7123 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(16(a,1),7122(a,2,2,2,1))]. 7124 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(7122(a,1),6169(a,1,1))]. 7125 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(321(a,2),7124(a,1,1,2,2,1))]. 7129 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(20,a,7122,a,b,7106,a(flip)),flip(a)]. 7131 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(7129(a,1),6169(a,1,1,2)),flip(a)]. 7132 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(220,a,6169,a(flip),b,7131,a)]. 7133 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(17(a,1),7132(a,1,1,1)),flip(a)]. 7134 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),7132(a,1,1,1))]. 7135 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6197,a,7110,a),flip(a)]. 7137 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(7135(a,1),5487(a,1,1,1,2))]. 7138 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(213,a,7120,a)]. 7139 L(K(x,y),z,x \ 1) = K(x,y). [hyper(388,a,7138,a)]. 7140 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(220,a,3597,a(flip),b,7139,a(flip)),flip(a)]. 7141 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5776,a,7140,a)]. 7143 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(7140(a,1),384(a,1,2)),flip(a)]. 7145 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(6480(a,1),7141(a,1,1,1)),flip(a)]. 7146 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(7145(a,1),5755(a,1,1)),flip(a)]. 7149 L(x,y,K(x \ 1,z)) = x. [hyper(388,a,7146,a)]. 7152 L(x \ 1,y,K(x,z)) = x \ 1. [para(3041(a,1),7149(a,1,3))]. 7155 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7152(a,1),737(a,1,1)),flip(a)]. 7164 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7042,a,6938,a),flip(a)]. 7165 K(x,K(y \ x,y) * z) = K(x,z). [para(16(a,1),7164(a,1,2)),flip(a)]. 7166 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7165(a,1,2,1,1))]. 7167 K(x,K(y,y \ x) * z) = K(x,z). [para(5238(a,1),7165(a,1,2)),flip(a)]. 7169 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7167(a,1),4853(a,1,1))]. 7170 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7166(a,1),4824(a,1,1,2))]. 7171 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7170(a,1),6233(a,1,2)),flip(a)]. 7172 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5452,a,7169,a)]. 7173 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4103,a,7172,a)]. 7174 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7173(a,1),169(a,1,2,2)),flip(a)]. 7176 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7068(a,1),597(a,1))]. 7177 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7112,a,6537,a),flip(a)]. 7178 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6537(a,1),7112(a,1))]. 7180 L(K(x,y),z,y) = K(x,y). [para(378(a,1),7177(a,1,3))]. 7181 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7177(a,1),103(a,1,2))]. 7182 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6766,a,7180,a)]. 7183 K(x,L(y,z,y)) = K(x,y). [hyper(220,a,6589,a(flip),b,7180,a(flip)),flip(a)]. 7184 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7180(a,1),103(a,1,2))]. 7186 (x * y) * T(K(z,x),u) = x * (y * T(K(z,x),u)). [para(7180(a,1),392(a,1,2,1))]. 7187 (x \ y) * T(K(z,x),y) = x \ (K(z,x) * y). [para(7180(a,1),639(a,1,2,1)),flip(a)]. 7192 K(x,T(y / z,y)) = K(x,z \ y). [para(4630(a,1),7183(a,1,2))]. 7193 T(x,L(y,z,y)) = x * K(x,y). [para(7183(a,1),4801(a,2,2))]. 7194 K(x,R(y,z,y)) = K(x,y). [para(6480(a,1),7183(a,1,2)),flip(a)]. 7195 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(220,a,5161,a,b,7194,a)]. 7196 R(K(x,y),z,y) = K(x,y). [hyper(220,a,6890,a(flip),b,7194,a(flip)),flip(a)]. 7197 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7194(a,1,2))]. 7199 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(7075(a,1),7194(a,1,2))]. 7201 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7196(a,1),114(a,1,1)),flip(a)]. 7202 T(x,L(y,z,y)) = T(x,y). [hyper(220,a,4801,a,b,7193,a)]. 7204 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(5661,a,7202,a),flip(a)]. 7210 T(x,R(y,z,y)) = T(x,y). [para(6480(a,1),7202(a,1,2)),flip(a)]. 7212 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7210(a,1),118(a,1,2))]. 7215 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7195(a,2),5163(a,1))]. 7217 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(220,a,6531,a(flip),b,7197,a(flip)),flip(a)]. 7218 K(x,T(y,y * z)) = K(x,T(y,z)). [para(16(a,1),7197(a,1,2,2)),flip(a)]. 7219 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4031(a,1),7197(a,1,2))]. 7221 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(220,a,564,a,b,7199,a(flip)),flip(a)]. 7224 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(6179(a,1),7199(a,1,2)),flip(a)]. 7231 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7215(a,1,2))]. 7232 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7217(a,1),17(a,1,2))]. 7233 L(K(x,T(y,z)),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(7217(a,1),105(a,1,1))]. 7235 K(x,T(y,K(x,z))) = K(x,y). [hyper(20,a,6194,a,b,7232,a)]. 7236 (K(x,y) * z) * u != z | K(y,T(x,z)) = u. [para(7232(a,1),22(a,1)),flip(a)]. 7237 K(x,T(y,K(z,x))) = K(x,y). [para(5806(a,1),7235(a,1,2)),flip(a)]. 7246 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(220,a,6505,a,b,7182,a(flip)),flip(a)]. 7248 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(220,a,4916,a,b,7182,a(flip)),flip(a)]. 7249 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),7182(a,1,1,1)),flip(a)]. 7251 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7182(a,1),6283(a,1,2))]. 7254 x * (K(y,z) * T(z,x)) = z * (x * K(y,z)). [hyper(220,a,6452,a,b,7184,a(flip)),flip(a)]. 7268 L(x,y,K(z,x)) = x. [hyper(388,a,7201,a)]. 7272 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7268(a,1),48(a,1,1)),flip(a)]. 7277 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * T(L(y,u,w),v5)). [para(7272(a,1),392(a,1,2,1))]. 7278 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7204(a,1),118(a,1,2)),flip(a)]. 7282 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(120(a,1),7212(a,1,2))]. 7284 (x * K(y,T(z,u \ z))) \ x = K(T(z,u \ 1),y). [para(7219(a,1),6169(a,1,1,2))]. 7285 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(7246(a,1),5763(a,1,1))]. 7290 L(K(x,y),z,y) != u | K(x,y) = u. [para(378(a,1),7178(a,1,3))]. 7295 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6765(a,1),7290(a,1))]. 7299 (x \ y) * T(K(z,x),y) = T(x,z) \ y. [hyper(220,a,5115,a(flip),b,7187,a)]. 7304 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7248(a,1),6966(a,2,1))]. 7305 T(x,y * K(z,x)) = T(x,y). [hyper(160,a,7254,a(flip),b,4769,a)]. 7308 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(7305(a,1),4562(a,2,1,2))]. 7309 T(x,y * K(x,z)) = T(x,y). [para(6172(a,1),7305(a,1,2)),flip(a)]. 7311 T(x,K(y,x) * z) = T(x,z). [para(6530(a,1),7305(a,1,2))]. 7315 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5901(a,1),7309(a,1,2,2))]. 7318 (K(x,y) * z) * L(T(y,z),u,w) != v5 | L(y,u,w) * (K(x,y) * z) = v5. [para(7311(a,1),315(a,1,2,1))]. 7319 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7311(a,1),4309(a,1,3))]. 7320 T(x,T(x,y) \ z) = T(x,x \ z). [para(5114(a,1),7311(a,1,2))]. 7321 T(x,K(x,y) * z) = T(x,z). [para(5238(a,1),7311(a,1,2)),flip(a)]. 7325 K(x,K(x,y) * z) = x \ T(x,z). [hyper(71,a,7321,a(flip),b,4801,a(flip)),flip(a)]. 7326 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7321(a,1),5362(a,1,1))]. 7328 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(220,a,119,a(flip),b,7320,a)]. 7329 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(220,a,4297,a,b,7320,a(flip)),flip(a)]. 7330 K(x,T(y,y \ z)) = T(K(x,y),z). [para(7320(a,1),6400(a,1,2))]. 7331 K(x,K(x,y) * z) = K(x,z). [hyper(220,a,4777,a,b,7325,a)]. 7332 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7325(a,2),4869(a,1))]. 7333 K(x,y * x) = K(x,x * y). [para(4853(a,1),7331(a,1,2)),flip(a)]. 7337 K(x,K(y,x) * z) = K(x,z). [para(5238(a,1),7331(a,1,2)),flip(a)]. 7344 x * ((T(y,x) \ z) \ z) = ((y \ z) \ z) * x. [para(7328(a,1),347(a,1,1)),flip(a)]. 7345 K(x,T(y,z)) = T(K(x,y),z). [hyper(7231,a,7330,a)]. 7347 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7330(a,1),7231(a,1))]. 7351 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(220,a,6584,a,b,7345,a),flip(a)]. 7352 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(220,a,6336,a,b,7345,a),flip(a)]. 7353 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(220,a,5628,a,b,7345,a),flip(a)]. 7354 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(220,a,5627,a,b,7345,a),flip(a)]. 7358 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(220,a,7092,a(flip),b,7345,a)]. 7360 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(220,a,6371,a(flip),b,7345,a)]. 7361 K(x / y,T(z,x)) = K(y \ x,z). [hyper(220,a,6343,a(flip),b,7345,a)]. 7362 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(220,a,3076,a(flip),b,7345,a)]. 7367 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(41(a,1),7345(a,1,2))]. 7368 x * K(y,T(z,x)) = K(y,z) * x. [para(7345(a,2),118(a,1,2))]. 7376 x * T(K(x,y),z) = T(x,T(y,z)). [para(7345(a,1),4801(a,2,2)),flip(a)]. 7377 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7345(a,1),4804(a,1,2))]. 7379 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7345(a,2),5625(a,1,2))]. 7387 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(7345(a,2),7299(a,1,2))]. 7396 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7361(a,1),6701(a,1,1)),flip(a)]. 7398 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6174,a,7368,a)]. 7400 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(20,a,5617,a(flip),b,7368,a)]. 7401 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5249,a,7368,a(flip))]. 7402 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7368(a,1),22(a,1))]. 7404 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(41(a,1),7368(a,1,2,2))]. 7406 K(x,y / z) * z = z * K(x,z \ y). [para(120(a,1),7368(a,1,2,2)),flip(a)]. 7411 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(220,a,7053,a,b,7376,a),flip(a)]. 7412 K(T(x,y),z) = K(x,T(z,y)). [hyper(7236,a,7398,a),flip(a)]. 7414 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5273,a,7412,a)]. 7417 K(T(x,y),z) = T(K(x,z),y). [hyper(220,a,7345,a(flip),b,7412,a)]. 7420 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,7412,a)]. 7421 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(220,a,7360,a,b,7412,a(flip)),flip(a)]. 7422 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(220,a,6371,a,b,7412,a(flip)),flip(a)]. 7429 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),7412(a,1,1))]. 7430 K(x / y,T(z,y)) = K(y \ x,z). [para(120(a,1),7412(a,1,1)),flip(a)]. 7431 K(T(x,y),z / y) = K(x,y \ z). [para(120(a,1),7412(a,2,2))]. 7432 K((x * y) / x,T(z,x)) = K(y,z). [para(154(a,1),7412(a,1,1)),flip(a)]. 7436 K(T(x,R(y,z,u)),y) = K(x,y). [para(546(a,1),7412(a,2,2))]. 7444 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7412(a,1),5252(a,1,1))]. 7448 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7412(a,1),5353(a,2,1))]. 7451 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7412(a,1),6176(a,1,2))]. 7452 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7412(a,1),6197(a,1,1,2))]. 7457 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7414(a,1),5155(a,1))]. 7465 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(17(a,1),7421(a,1,2,2)),flip(a)]. 7469 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(220,a,7090,a,b,7422,a(flip)),flip(a)]. 7474 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(131(a,1),7430(a,1,2))]. 7475 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(7430(a,1),4801(a,2,2)),flip(a)]. 7480 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(131(a,1),7431(a,1,1))]. 7484 K((x * y) / x,z) * x = x * K(y,z). [para(7432(a,1),7368(a,1,2)),flip(a)]. 7486 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(45(a,2),7465(a,1,2))]. 7487 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7465(a,1),6704(a,1,1))]. 7489 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(220,a,7345,a,b,7469,a(flip)),flip(a)]. 7490 K(x,T(y,z / x)) = T(K(x,y),z). [para(19(a,1),7469(a,1,2)),flip(a)]. 7491 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7469(a,1),118(a,1,2))]. 7496 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(7490(a,1),4801(a,2,2))]. 7503 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7417(a,2),7347(a,1))]. 7504 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7345(a,1),7457(a,1))]. 7513 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7360(a,2),7503(a,1))]. 7517 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(220,a,7345,a,b,7358,a)]. 7519 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(7218(a,1),7379(a,1,2))]. 7522 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5510(a,2),7406(a,1,1))]. 7523 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5516(a,1),7406(a,1,1)),flip(a)]. 7529 K(x,y * K(z,x)) = K(x,y). [para(7484(a,1),7337(a,1,2))]. 7534 K(x,y * K(x,z)) = K(x,y). [para(6172(a,1),7529(a,1,2)),flip(a)]. 7537 K(x,K(x,y) * z) = K(x,z * K(x,u)). [hyper(220,a,7331,a,b,7534,a),flip(a)]. 7543 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7534(a,1),6451(a,1,1)),flip(a)]. 7548 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7484(a,1),7517(a,1,2,2))]. 7549 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7537(a,1),7332(a,1))]. 7556 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6172(a,1),7548(a,1,2,2)),flip(a)]. 7559 K(x,T(y,z * (u * K(x,w)))) = K(x,T(y,z * u)). [para(6590(a,1),7556(a,1,2,2))]. 7563 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7411(a,2),7377(a,1))]. 7564 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7496(a,2),7377(a,1))]. 7576 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(161,a,7344,a),flip(a)]. 7581 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(7576(a,1),63(a,1,2))]. 7586 x / T(y \ x,z) = T(x / y,z) \ x. [para(66(a,1),7581(a,1,2,1,1))]. 7588 T(x / (x / y),z) \ x = x / T(y,z). [para(140(a,1),7581(a,1,2,1)),flip(a)]. 7590 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7586,a),flip(a)]. 7596 x / (y * K(z,y \ x)) = T(x / y,z). [para(7590(a,1),63(a,1,2))]. 7597 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(16(a,1),7596(a,1,2,2,2))]. 7599 T(x,y) * K(z,T(T(x,u),w)) = K(z,T(T(x,u),w)) * T(x,y). [para(189(a,1),7404(a,1,2,2,1))]. 7602 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1660(a,1),7429(a,1,1)),flip(a)]. 7603 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2857(a,1),7429(a,2,2))]. 7606 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(130(a,1),7475(a,2,2))]. 7608 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6142,a,7491,a),flip(a)]. 7610 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(7608(a,2),22(a,1))]. 7611 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(220,a,7379,a(flip),b,7519,a(flip))]. 7612 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(220,a,6519,a,b,7611,a(flip)),flip(a)]. 7613 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(17(a,1),7611(a,1,1)),flip(a)]. 7615 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7402,a,7522,a)]. 7617 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(63(a,1),7615(a,1,2,1,1))]. 7618 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(20,a,6324,a,b,7523,a),flip(a)]. 7619 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(220,a,4898,a(flip),b,7597,a)]. 7620 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6359(a,1),7603(a,1,1,1)),flip(a)]. 7622 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6505(a,2),7295(a,1))]. 7623 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5242(a,1),7444(a,1))]. 7624 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6173(a,1),7451(a,1))]. 7638 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7417(a,1),7624(a,1,2))]. 7640 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [hyper(7638,a,7186,a)]. 7641 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(7186(a,1),5165(a,1,2))]. 7645 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7251(a,1),6197(a,1,1))]. 7647 K(T(x,y \ 1),z) = K(x,T(z,y \ x)). [hyper(7452,a,7284,a),flip(a)]. 7648 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [hyper(7503,a,7647,a)]. 7649 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(16(a,1),7648(a,2,2,2))]. 7650 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,7308,a)]. 7657 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(45(a,2),7486(a,2,2))]. 7662 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7232(a,1),7559(a,1,2,2,2)),flip(a)]. 7673 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(7345(a,2),7640(a,2,2,2))]. 7675 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1267(a,1),7650(a,1,2))]. 7677 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(16(a,1),7657(a,1,2,1,2)),flip(a)]. 7679 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(7673(a,1),23(a,1)),flip(a)]. 7681 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5183,a,7677,a)]. 7685 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7040,a,7681,a)]. 7686 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(220,a,7118,a(flip),b,7685,a(flip)),flip(a)]. 7687 K(L((x \ y) * z,u,w) \ 1,z) = L(K(y \ (z \ x),z),u,w). [para(7133(a,1),7285(a,1,1)),flip(a)]. 7690 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(220,a,6704,a(flip),b,7487,a(flip))]. 7698 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7345(a,2),7351(a,1,1))]. 7701 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,y)) * z. [para(7421(a,1),7448(a,2,1))]. 7702 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(117(a,1),7701(a,2,1,2))]. 7704 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(7702(a,1),4857(a,1,2))]. 7706 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(7602(a,2),7503(a,1))]. 7708 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(5933(a,1),7645(a,1))]. 7709 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6568(a,2),7708(a,1))]. 7711 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6112,a,7698,a)]. 7721 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7304(a,1),5795(a,1,2)),flip(a)]. 7724 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5115(a,1),7319(a,1,2))]. 7725 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5115(a,1),7724(a,2,2))]. 7726 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7725(a,1),384(a,1,2)),flip(a)]. 7727 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4084(a,1),7726(a,1,2,1))]. 7728 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4084(a,1),7727(a,2,2,2))]. 7729 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7728(a,1),4115(a,1,1))]. 7737 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4993(a,1),7619(a,1,2,2))]. 7738 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x,y). [hyper(220,a,4778,a(flip),b,7737,a)]. 7740 K(x * K(y,z),z) = K(x,z). [hyper(6000,a,7738,a)]. 7742 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7740(a,1),4015(a,1,1))]. 7744 K(x * T(y,z),y) = K(x * y,y). [para(5686(a,1),7740(a,1,1)),flip(a)]. 7746 K(x * K(y,z),y) = K(x,y). [para(6172(a,1),7740(a,1,1)),flip(a)]. 7748 K(K(x,y) * z,y) = K(z,y). [para(6530(a,1),7740(a,1,1))]. 7749 K(x * K(y,T(z,u)),z) = K(x,z). [para(7352(a,1),7740(a,1,1,2))]. 7750 K(K(x,y) * z,x) = K(z,x). [para(7398(a,1),7740(a,1,1)),flip(a)]. 7751 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7432(a,1),7740(a,1,1,2))]. 7753 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7746(a,1),5491(a,1,1,1,2)),flip(a)]. 7754 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5901(a,1),7746(a,1,1,2))]. 7755 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6590(a,1),7746(a,1,1))]. 7760 K(K(x,y) \ z,x) = K(z,x). [para(5242(a,2),7748(a,1,1))]. 7770 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7750(a,1),6111(a,1,1))]. 7771 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6845(a,1),7750(a,1,1,1))]. 7775 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7744(a,1),7543(a,2,2))]. 7777 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5535(a,1),7749(a,1,1))]. 7780 K((K(x,y) * z) * u,x) = K(z * u,x). [para(114(a,1),7771(a,1,1))]. 7781 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6704(a,1),7771(a,1,1,1))]. 7783 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4857(a,1),7781(a,1,1)),flip(a)]. 7787 K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). [para(7398(a,1),7751(a,1,1)),flip(a)]. 7791 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7368(a,1),7755(a,1,1,2))]. 7797 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7777(a,1),6740(a,1,1,2))]. 7798 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6845(a,1),7787(a,1,1,1))]. 7801 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7791(a,1),5489(a,1,2,1,2)),flip(a)]. 7806 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(220,a,6704,a(flip),b,7742,a(flip)),flip(a)]. 7807 K(R(x,K(y,z),u),z) = K(x,z). [hyper(220,a,7740,a(flip),b,7806,a)]. 7809 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(49(a,1),7807(a,1,1))]. 7810 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7770(a,1),3583(a,1)),flip(b)]. 7813 K(x * y,x) != z | K(y * x,x) = z. [para(4853(a,1),7810(a,1,1))]. 7818 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6704(a,1),7798(a,1,1,1))]. 7820 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,6448,a(flip),b,7775,a)]. 7832 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(220,a,5625,a(flip),b,7641,a)]. 7833 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7376(a,1),7832(a,1,2,2))]. 7834 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6431(a,2),7833(a,1,2))]. 7835 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4869,a,7834,a)]. 7836 K(x,K(y,z)) = K(z,K(y,x)). [hyper(220,a,7612,a(flip),b,7835,a(flip))]. 7837 K(K(x,y),z) = K(x,K(y,z)). [hyper(220,a,5626,a,b,7836,a),flip(a)]. 7838 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(220,a,7835,a(flip),b,7836,a)]. 7842 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7836(a,1),4801(a,2,2)),flip(a)]. 7845 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7836(a,1),5627(a,1,2))]. 7846 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7836(a,1),5628(a,1,1))]. 7847 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7836(a,1),5629(a,1,1))]. 7849 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7836(a,1),6486(a,2,2))]. 7850 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7836(a,1),7354(a,1,2))]. 7852 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(220,a,5756,a(flip),b,7837,a)]. 7853 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(220,a,6838,a,b,7837,a(flip)),flip(a)]. 7856 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7837(a,1),5142(a,1,1))]. 7868 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7750(a,1),7837(a,1,1)),flip(a)]. 7870 K(x,K(y,y * z)) = K(x,K(y,z)). [para(7333(a,1),7838(a,1,2))]. 7872 K(K(x,y),z) = K(y,K(z,x)). [hyper(5155,a,7856,a)]. 7873 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5678,a,7872,a)]. 7874 K(K(x,y),z) = K(x,K(z,y)). [hyper(220,a,7836,a,b,7872,a)]. 7875 K(x,K(y,z)) = K(z,K(x,y)). [hyper(220,a,7837,a(flip),b,7872,a(flip))]. 7876 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7872(a,1),4801(a,2,2)),flip(a)]. 7879 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7872(a,1),5678(a,1))]. 7880 K(K(x,y),z) = K(y,K(x,z)). [hyper(220,a,7837,a,b,7873,a),flip(a)]. 7881 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(220,a,7613,a,b,7873,a),flip(a)]. 7883 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7873(a,1),4801(a,2,2)),flip(a)]. 7884 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7873(a,1),4812(a,2,1)),flip(a)]. 7885 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7873(a,1),4804(a,1,2))]. 7886 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7873(a,1),5022(a,1,1))]. 7891 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7873(a,1),7842(a,1,2))]. 7892 K(K(x,y),z) = K(z,K(x,y)). [hyper(220,a,7873,a,b,7874,a)]. 7893 K(x,K(y,z)) = K(x,K(z,y)). [hyper(220,a,7837,a(flip),b,7874,a(flip))]. 7897 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7874(a,1),5678(a,1))]. 7900 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(220,a,7379,a,b,7875,a),flip(a)]. 7905 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7875(a,2),4812(a,2,1)),flip(a)]. 7907 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7875(a,2),4875(a,1,1))]. 7909 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7875(a,2),5022(a,1,1))]. 7919 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7875(a,2),7353(a,1,1))]. 7920 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7875(a,1),7354(a,1,2))]. 7921 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7875(a,1),7842(a,1,2))]. 7922 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7880(a,1),4853(a,1,1))]. 7924 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5756(a,1),7880(a,1,1)),flip(a)]. 7928 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7892(a,1),4801(a,2,2)),flip(a)]. 7941 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7892(a,1),5678(a,1))]. 7946 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7893(a,1),4812(a,2,1)),flip(a)]. 7952 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),7870(a,1,2,2)),flip(a)]. 7953 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5318(a,1),7870(a,1,2)),flip(a)]. 7956 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(220,a,7873,a,b,7881,a(flip)),flip(a)]. 7959 T(x,K(y,z)) = T(x,K(z,y)). [hyper(220,a,7842,a(flip),b,7891,a(flip))]. 7961 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7563,a,7959,a),flip(a)]. 7963 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(220,a,6190,a,b,7959,a),flip(a)]. 7970 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(220,a,5713,a(flip),b,7959,a)]. 7983 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7921(a,1),4804(a,1))]. 7984 T(x,K(y * z,y)) = x * K(x,K(y,z)). [para(7870(a,1),7921(a,1,2)),flip(a)]. 7986 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7952(a,1),5631(a,2,2))]. 7987 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(4986(a,1),7956(a,2,2))]. 8006 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7845(a,2),7347(a,1))]. 8009 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7850(a,1),22(a,1))]. 8011 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(220,a,7880,a(flip),b,7868,a)]. 8012 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(220,a,7872,a(flip),b,7868,a)]. 8013 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(220,a,7837,a(flip),b,7868,a)]. 8016 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2124,a,7900,a)]. 8023 (x * K(y,z)) / x = T(K(y,z),x). [hyper(4817,a,7928,a)]. 8028 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(220,a,7345,a,b,8023,a)]. 8030 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6154(a,2),8023(a,1,1))]. 8034 K(x,T(y,z)) * z = z * K(x,y). [para(8028(a,1),19(a,1,1))]. 8035 T(K(x,T(y,z)),z) = K(x,y). [para(8028(a,1),154(a,1,1))]. 8038 L(K(x,T(y,z)),u,w) * z = z * L(K(x,y),u,w). [para(8028(a,1),533(a,1,1,1))]. 8043 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8028(a,1),704(a,1,1,1))]. 8044 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(8028(a,1),1245(a,1,1,1))]. 8048 K(T(x,y),T(z,y)) = K(x,z). [hyper(7504,a,8035,a)]. 8049 K(x,T(T(y,z),z)) = K(x,y). [hyper(7347,a,8035,a)]. 8054 T(K(x,y \ z),z) = K(x,z / y). [para(7192(a,1),8035(a,1,1))]. 8060 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(41(a,1),8048(a,1,2))]. 8061 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),8048(a,1,1))]. 8063 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(45(a,2),8048(a,1,1))]. 8064 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(45(a,2),8048(a,1,2))]. 8065 K(x \ y,T(z,x)) = K(y / x,z). [para(120(a,1),8048(a,1,1))]. 8071 x * K(T(x,y),T(z,y)) = T(x,z). [para(8048(a,2),4801(a,2,2)),flip(a)]. 8072 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8048(a,1),4812(a,2,1))]. 8073 K(x * K(y,x),z) = K(x,T(z,y)). [para(4824(a,1),8048(a,1,1)),flip(a)]. 8075 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8048(a,1),5228(a,1,1)),flip(a)]. 8077 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8048(a,1),6873(a,1,1))]. 8079 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8048(a,1),7401(a,1,2,2))]. 8082 K(x,T(y \ z,y)) = K(x,z / y). [para(120(a,1),8049(a,1,2,1))]. 8086 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8049(a,1),7491(a,1,2)),flip(a)]. 8094 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8034(a,1),4818(a,1,2)),flip(a)]. 8106 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(220,a,7224,a(flip),b,8065,a(flip))]. 8107 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),8065(a,1,1)),flip(a)]. 8118 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(4953(a,1),8073(a,1,1)),flip(a)]. 8119 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7436(a,1),8073(a,1,1,2)),flip(a)]. 8127 K(x,T((y * (z * K(x,u))) \ w,y * z)) = K(x,w / (y * (z * K(x,u)))). [hyper(220,a,7559,a(flip),b,8082,a(flip)),flip(a)]. 8150 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(220,a,4801,a,b,7984,a)]. 8151 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(7983,a,8150,a)]. 8154 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(17(a,1),8151(a,1,2,2)),flip(a)]. 8160 K(x,T(y,K(z,z \ x))) = K(x,y). [para(8154(a,2),7237(a,1,2))]. 8162 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6187(a,1),8160(a,1,2))]. 8168 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7897,a,8012,a)]. 8169 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5238(a,1),8013(a,1,1)),flip(a)]. 8171 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8034(a,1),8013(a,1,1))]. 8174 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8016(a,1),6175(a,1,1)),flip(b)]. 8177 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(220,a,5381,a,b,8072,a)]. 8185 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8094(a,2),6873(a,1,2))]. 8194 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5596(a,1),8168(a,1,2,2)),flip(a)]. 8195 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8079(a,1),8168(a,1,2,2)),flip(a)]. 8196 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(220,a,8011,a(flip),b,8169,a)]. 8202 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8195(a,1),7905(a,1,1))]. 8211 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4986(a,1),7907(a,1,1,2))]. 8213 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6173(a,2),7922(a,1,2))]. 8214 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7987(a,1),7922(a,1,1))]. 8222 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7970(a,1),7503(a,1,1))]. 8224 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8030(a,1),5008(a,1))]. 8225 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6336(a,2),8224(a,1))]. 8232 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(220,a,6412,a(flip),b,8061,a(flip)),flip(a)]. 8234 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4144(a,1),8063(a,1,1,1)),flip(a)]. 8236 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8177(a,1),8075(a,1,1))]. 8237 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(220,a,6140,a(flip),b,8086,a)]. 8238 T(x,T(T(y,z),z)) = T(x,y). [hyper(7610,a,8237,a)]. 8241 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5452,a,8237,a)]. 8245 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(220,a,8177,a(flip),b,8238,a(flip)),flip(a)]. 8258 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,241,a(flip),b,8241,a)]. 8266 K(x,y) * T(T(y,x),z) = T(y,T(z,x)). [hyper(5249,a,8245,a)]. 8269 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(175(a,1),8266(a,1,2))]. 8282 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5927(a,1),8213(a,1,1,2))]. 8286 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7837(a,1),8236(a,2,1))]. 8299 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,8119,a)]. 8300 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(120(a,1),8299(a,1,2,2)),flip(a)]. 8302 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4081(a,2),8225(a,1,1))]. 8303 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7412(a,1),8302(a,1))]. 8306 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(7309(a,1),8303(a,1,2))]. 8307 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(220,a,8048,a(flip),b,8232,a(flip))]. 8309 T(K(x,y),z) * (T(y,x) * u) = K(x,K(y,z)) * (y * u). [para(4857(a,1),7847(a,1,2)),flip(a)]. 8332 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(5504,a,8106,a)]. 8338 K(x,y * K(z \ x,z)) = K(x,y). [hyper(220,a,7165,a(flip),b,8162,a(flip))]. 8340 K(x,y) * ((y * K(z \ x,z)) * x) = x * (y * K(z \ x,z)). [para(8338(a,1),4853(a,1,1))]. 8349 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8258(a,1),6141(a,1,1,1))]. 8371 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5756(a,1),7852(a,1,1)),flip(a)]. 8372 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7837(a,1),7853(a,1,1))]. 8373 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5756(a,1),7924(a,1,2)),flip(a)]. 8374 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(220,a,8371,a,b,8373,a(flip)),flip(a)]. 8375 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7873(a,1),8374(a,1,1))]. 8376 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8375(a,2),4804(a,1,2))]. 8381 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(7638,a,7986,a)]. 8391 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(220,a,8064,a(flip),b,8077,a)]. 8400 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7909,a,8202,a),flip(a)]. 8401 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6077,a,8400,a),flip(a)]. 8404 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8400(a,2),6169(a,1,1))]. 8407 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7884(a,1),8401(a,1,1)),flip(a)]. 8410 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7961(a,1),8211(a,2,1))]. 8419 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(220,a,7690,a(flip),b,8234,a)]. 8420 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(115(a,1),8419(a,1,1)),flip(a)]. 8423 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7872(a,1),8286(a,2,2))]. 8425 T(K(x,y),z) * (T(y,x) * u) = T(y,K(x,z)) * u. [hyper(7886,a,8309,a(flip)),flip(a)]. 8426 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(7679,a,8425,a(flip))]. 8427 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8054(a,1),8426(a,1,1))]. 8428 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(220,a,8269,a(flip),b,8427,a(flip))]. 8433 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8372(a,2),7946(a,1,1))]. 8434 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(220,a,7606,a(flip),b,8381,a(flip))]. 8435 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7875(a,2),8434(a,1,2))]. 8436 (x \ y) * K(x,K(y,z)) = T(x \ y,K(z,y)). [hyper(220,a,8428,a,b,8435,a)]. 8437 (x \ y) * K(y,K(x,z)) = T(x \ y,K(z,y)). [para(7873(a,1),8436(a,1,2))]. 8438 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(20,a,7891,a,b,8437,a),flip(a)]. 8439 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8438,a)]. 8440 x * K(y,K(x,z \ x)) = T(x,K(y,z)). [para(8438(a,2),7921(a,1,2))]. 8441 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(220,a,7953,a,b,8439,a(flip)),flip(a)]. 8443 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(7941,a,8441,a)]. 8446 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(220,a,7893,a,b,8441,a)]. 8447 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(220,a,7875,a(flip),b,8441,a)]. 8448 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(220,a,8372,a,b,8441,a(flip)),flip(a)]. 8457 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6261(a,1),8443(a,1,2))]. 8464 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8446(a,2),7941(a,1))]. 8466 T(x,K(y,z \ 1)) = x * K(z,K(y,x)). [para(8447(a,1),7883(a,1,2)),flip(a)]. 8478 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7885,a,8440,a)]. 8479 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(220,a,6325,a,b,8478,a(flip)),flip(a)]. 8482 x * K(y,K(x / z,x)) = T(x,K(y,z)). [hyper(220,a,7891,a,b,8479,a(flip)),flip(a)]. 8484 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8457(a,1),7941(a,1))]. 8485 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(220,a,7891,a(flip),b,8466,a)]. 8486 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(220,a,7842,a(flip),b,8466,a)]. 8487 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7983,a,8485,a)]. 8490 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7563,a,8486,a),flip(a)]. 8494 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8487(a,2),7983(a,1))]. 8499 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(20,a,4801,a(flip),b,8482,a)]. 8502 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(6344(a,1),8499(a,1,2))]. 8505 K(x,y \ x) * K(x,K(z,y)) = K(x,T(y \ x,z)). [para(8502(a,1),7354(a,1,2))]. 8508 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7563,a,8490,a),flip(a)]. 8510 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(220,a,4801,a(flip),b,8508,a)]. 8513 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4866,a,8510,a)]. 8516 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(220,a,7649,a(flip),b,8513,a(flip)),flip(a)]. 8521 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6492(a,1),8513(a,1,2))]. 8525 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(248(a,1),8516(a,1,2)),flip(a)]. 8526 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(546(a,1),8516(a,1,2)),flip(a)]. 8529 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8521(a,1),7231(a,1))]. 8534 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5514(a,2),8464(a,1,2))]. 8537 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7219(a,2),8529(a,1))]. 8540 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6492(a,1),8537(a,1,2))]. 8555 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8441(a,1),8448(a,1,1))]. 8558 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8555(a,2),4801(a,2,2)),flip(a)]. 8580 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T((z \ y) \ x,u)). [para(6576(a,1),8505(a,1,1))]. 8581 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8525(a,1),6746(a,1,2))]. 8582 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8526(a,1),6742(a,1,2))]. 8583 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8526(a,2),7876(a,2,1))]. 8592 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8581,a(flip),b,4818,a),flip(a)]. 8593 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8582(a,1),5442(a,1,1)),flip(a)]. 8603 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(220,a,8060,a(flip),b,8118,a(flip))]. 8606 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8376,a,8558,a)]. 8620 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(220,a,8049,a(flip),b,8420,a(flip)),flip(a)]. 8622 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(2126,a,8592,a)]. 8624 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(220,a,7396,a(flip),b,8620,a),flip(a)]. 8625 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(66(a,1),8624(a,1,1,1)),flip(a)]. 8626 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(18(a,1),8625(a,1,1,2)),flip(a)]. 8628 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(220,a,6873,a(flip),b,8626,a(flip))]. 8629 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7748(a,1),8626(a,1,1))]. 8630 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(8628(a,2),4801(a,2,2)),flip(a)]. 8640 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(220,a,5244,a(flip),b,7721,a)]. 8642 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(220,a,5949,a(flip),b,8640,a(flip)),flip(a)]. 8682 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(220,a,8391,a(flip),b,8185,a(flip))]. 8684 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4835(a,1),8682(a,1,2,2)),flip(a)]. 8685 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7368(a,1),8682(a,1,2,2))]. 8686 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(220,a,6874,a,b,8684,a(flip)),flip(a)]. 8688 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(5681(a,1),8686(a,1,2))]. 8689 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(6206(a,1),8686(a,1,2))]. 8691 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8685(a,1),6169(a,1,1,2)),flip(a)]. 8693 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(220,a,8682,a(flip),b,8689,a)]. 8695 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(19(a,1),8693(a,1,2)),flip(a)]. 8696 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(220,a,8688,a,b,8695,a(flip)),flip(a)]. 8699 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7398(a,1),8696(a,1,2)),flip(a)]. 8702 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8691(a,2),6197(a,1))]. 8720 K(x,y) * z != x * (y * K(u \ x,u)) | (y * K(u \ x,u)) * x = z. [para(8340(a,1),22(a,1)),flip(a)]. 8728 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8446(a,1),8433(a,1,1,1)),flip(a)]. 8729 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8375(a,1),8728(a,2,1))]. 8730 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(220,a,4812,a,b,8729,a)]. 8731 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8494,a,8730,a),flip(a)]. 8732 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(220,a,8606,a(flip),b,8731,a(flip))]. 8733 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [hyper(220,a,3049,a(flip),b,8732,a)]. 8747 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(220,a,5491,a(flip),b,7753,a)]. 8751 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7367(a,2),8044(a,1,1))]. 8753 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(8222,a,7818,a)]. 8755 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(5779,a,8593,a),flip(a)]. 8775 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * L(T(y,v5),u,w)). [para(43(a,2),7277(a,2,2,2))]. 8776 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7321(a,1),7326(a,1,2,2)),flip(a)]. 8777 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(220,a,5362,a(flip),b,8776,a)]. 8779 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8777,a(flip))]. 8801 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(220,a,8410,a(flip),b,8214,a(flip)),flip(a)]. 8802 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(21,a,7599,a,b,8801,a)]. 8803 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4824(a,1),8802(a,1,2,2,1))]. 8830 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7875(a,1),8423(a,1,1,1))]. 8831 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T(y \ (z * x),u)). [hyper(220,a,7711,a(flip),b,8580,a)]. 8835 (K(x,y) * z) * L(T(y,u),w,v5) = K(x,y) * (z * L(T(y,u),w,v5)). [para(43(a,2),8775(a,1,2))]. 8841 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8407(a,1),8830(a,1,1))]. 8842 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7875(a,1),8841(a,2,1))]. 8843 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7873(a,1),8842(a,2,2))]. 8844 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(20,a,7920,a,b,8831,a),flip(a)]. 8845 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(8484,a,8844,a)]. 8847 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(19(a,1),8845(a,1,2,2,1)),flip(a)]. 8850 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(220,a,8194,a(flip),b,8847,a(flip)),flip(a)]. 8853 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8850(a,1),7850(a,1,2))]. 8855 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8006,a,8853,a),flip(a)]. 8856 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(16(a,1),8855(a,1,2,2,1)),flip(a)]. 8857 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),8856(a,1,2,2)),flip(a)]. 8858 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(537(a,1),8857(a,1,2,2))]. 8878 K(x,y) * (z * L(T(y,z),u,w)) = L(y,u,w) * (K(x,y) * z). [hyper(7318,a,8835,a),flip(a)]. 8879 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(172(a,1),8878(a,1,2)),flip(a)]. 8880 (L(x,y,z) * (K(u,x) * w)) \ ((L(x,y,z) * w) * K(u,x)) = K(L(x,y,z) * w,K(u,x)). [para(8879(a,2),29(a,2,1)),flip(a)]. 8893 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3519(a,2),8107(a,1,1))]. 8901 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(220,a,8628,a(flip),b,8893,a(flip)),flip(a)]. 8944 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(220,a,8803,a(flip),b,7797,a(flip)),flip(a)]. 8946 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8944,a(flip))]. 8947 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8238(a,1),8946(a,1,2))]. 8949 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(220,a,5489,a(flip),b,7801,a)]. 8950 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4883(a,1),8949(a,1,1)),flip(a)]. 8954 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7780(a,1),8779(a,1,1,2))]. 8955 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8954,a(flip))]. 8973 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5238(a,1),5258(a,2,2))]. 8974 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(220,a,16,a(flip),b,8973,a)]. 8978 L(x,y,K(x,z)) = x. [hyper(220,a,7272,a(flip),b,8974,a(flip)),flip(a)]. 8979 (K(R(x,y,x),z) * y) \ (K(R(x,y,x),z) * T(x * y,x)) = R(x,y,x). [hyper(220,a,4577,a,b,8978,a(flip)),flip(a)]. 8981 (K(x,y) * z) * x = K(x,y) * (z * x). [para(8978(a,1),103(a,1,2))]. 8984 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(8978(a,1),393(a,1,2,1))]. 8988 L(K(x,y),z,K(y,u)) = K(x,y). [para(8978(a,1),6587(a,1,2)),flip(a)]. 8991 R(K(x,y),z,x) = K(x,y). [hyper(4688,a,8981,a)]. 8992 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(220,a,5064,a(flip),b,8981,a)]. 8995 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(8981(a,1),322(a,1,1))]. 8996 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5229(a,1),8981(a,1,1))]. 8998 K(x,R(y,z,x)) = K(x,y). [hyper(220,a,8693,a(flip),b,8991,a(flip)),flip(a)]. 8999 K(R(x,y,x),z) = K(x,z). [hyper(220,a,8626,a(flip),b,8991,a(flip)),flip(a)]. 9002 T(x,R(y,z,x)) = x * K(x,y). [para(8998(a,1),4801(a,2,2))]. 9005 x * K(R(x,y,x),z) = T(x,z). [para(8999(a,2),4801(a,2,2)),flip(a)]. 9008 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8999(a,1),5133(a,1,1))]. 9010 T(x,R(y,z,x)) = T(x,y). [hyper(220,a,4801,a,b,9002,a)]. 9019 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(653(a,1),9010(a,1,2))]. 9025 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(160,a,8992,a,b,4818,a)]. 9032 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6071,a,9025,a)]. 9034 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(17(a,1),9025(a,1,1)),flip(a)]. 9041 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9032(a,1),1508(a,1,1)),flip(a)]. 9042 K(x,(y * K(z,x)) \ u) = (y * T(y \ u,x)) \ u. [para(9032(a,1),5733(a,1,1,2)),flip(a)]. 9043 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9032(a,1),6074(a,1,1)),flip(a)]. 9044 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(220,a,4809,a,b,9034,a(flip)),flip(a)]. 9051 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(220,a,6155,a,b,9043,a),flip(a)]. 9059 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5130(a,1),9051(a,1,1,1)),flip(a)]. 9061 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7564,a,9019,a)]. 9062 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(120(a,1),9061(a,1,2)),flip(a)]. 9064 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9062(a,1),4836(a,1,1,1))]. 9065 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(220,a,5717,a(flip),b,9042,a)]. 9070 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5765(a,1),9065(a,1,2,1,2))]. 9071 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6192(a,1),9065(a,1,2,1)),flip(a)]. 9072 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(6530(a,1),9065(a,1,2,1))]. 9074 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(220,a,7087,a(flip),b,9072,a(flip)),flip(a)]. 9080 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4853(a,1),9074(a,1,2,2)),flip(a)]. 9084 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9074(a,1),6153(a,1,2,2)),flip(a)]. 9089 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(220,a,7001,a,b,9080,a),flip(a)]. 9095 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(16(a,1),9089(a,1,2)),flip(a)]. 9096 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9089(a,1),6570(a,1,1))]. 9118 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = T(K(x,y \ v5),v6). [para(9070(a,1),7345(a,2,1))]. 9127 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(220,a,7108,a(flip),b,9071,a(flip))]. 9132 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(16(a,1),9127(a,1,2,2))]. 9134 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9080,a,b,9132,a)]. 9137 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9071,a,b,9134,a(flip)),flip(a)]. 9141 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9137(a,1),6570(a,1,1))]. 9151 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4688,a,8984,a)]. 9152 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4853(a,1),8984(a,1,1)),flip(a)]. 9153 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(8984(a,1),5070(a,1,1,2))]. 9155 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(220,a,8626,a(flip),b,9151,a(flip)),flip(a)]. 9158 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(7706,a,9155,a),flip(a)]. 9159 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9155(a,1),4812(a,2,1)),flip(a)]. 9160 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9155(a,1),5281(a,1,1,1)),flip(a)]. 9161 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(19(a,1),9158(a,1,2,2)),flip(a)]. 9162 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(220,a,8300,a(flip),b,9161,a(flip)),flip(a)]. 9164 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(16(a,1),9162(a,1,2,2)),flip(a)]. 9166 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(220,a,7850,a,b,9164,a)]. 9169 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8009,a,9166,a)]. 9171 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),9169(a,1,2,2)),flip(a)]. 9172 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(114(a,1),9169(a,1,2,2))]. 9173 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8484,a,9171,a)]. 9174 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(66(a,1),9173(a,1,2,2)),flip(a)]. 9175 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8534,a,9174,a),flip(a)]. 9177 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9172(a,1),7919(a,1,1))]. 9182 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9044(a,2),1507(a,2,1,2))]. 9183 T(x,y \ (K(x,z) * u)) = T(x,y \ u). [hyper(220,a,6153,a(flip),b,9084,a)]. 9184 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9084(a,2),6213(a,1))]. 9187 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5596(a,1),9183(a,1,2,2)),flip(a)]. 9190 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5115(a,1),9184(a,1,2))]. 9191 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(9190,a,7116,a),flip(a)]. 9192 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9191(a,1,2))]. 9193 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9187(a,1),4836(a,1,1,1))]. 9195 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1651(a,2),9152(a,1,2))]. 9197 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,45,a,b,9159,a)]. 9198 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8174,a,9177,a),flip(a)]. 9199 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(17(a,1),9198(a,1,2,2,1)),flip(a)]. 9200 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7513,a,9199,a),flip(a)]. 9202 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9200(a,1),8044(a,1,1,1))]. 9203 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(71,a,9197,a(flip),b,4189,a),flip(a)]. 9204 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9197(a,1),8996(a,1,1,2)),flip(a)]. 9214 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = K(x,T(y \ v5,v6)). [hyper(220,a,7345,a,b,9118,a)]. 9215 K(x,T((y * (z * K(x,u))) \ w,v5)) = K(x,T((y * z) \ w,v5)). [para(6539(a,1),9214(a,1,2,1,1)),flip(a)]. 9216 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(220,a,344,a(flip),b,9041,a)]. 9227 K(x,T((y * z) \ u,y * z)) = K(x,u / (y * (z * K(x,w)))). [hyper(220,a,8127,a(flip),b,9215,a(flip))]. 9229 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [hyper(220,a,8082,a(flip),b,9227,a(flip))]. 9231 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7401(a,1),9229(a,1,2,2)),flip(a)]. 9232 K(x,y / (z * (T(u,x) \ w))) = K(x,y / (z * (u \ w))). [para(7387(a,1),9229(a,1,2,2,2))]. 9233 K(x,y / (z * x)) = K(x,y / (x * z)). [para(4853(a,1),9231(a,1,2,2))]. 9236 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6705(a,1),9231(a,1,2,2))]. 9237 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(220,a,8642,a(flip),b,9233,a)]. 9238 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(115(a,2),9233(a,2,2)),flip(a)]. 9240 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),9237(a,1,2,2,1)),flip(a)]. 9241 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4209(a,1),9237(a,1,2,2,1))]. 9242 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(220,a,4992,a(flip),b,9238,a(flip)),flip(a)]. 9244 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4853(a,1),9236(a,1,2,2,1))]. 9255 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(220,a,9134,a(flip),b,9096,a)]. 9262 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9240,a(flip),b,9241,a)]. 9263 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9242,a,b,9262,a(flip)),flip(a)]. 9264 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(66(a,1),9263(a,2,2,2,1))]. 9269 (K(x,y) * z) \ (K(R(x,z,x),y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),8979(a,1,1,1))]. 9270 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),9269(a,1,2,1))]. 9273 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(9025(a,2),9270(a,1,2))]. 9274 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4875(a,1),9273(a,1,2,1))]. 9275 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(220,a,5074,a(flip),b,9274,a(flip)),flip(a)]. 9277 R(x,T(y,x),x) = R(x,y,x). [para(4844(a,1),9275(a,1,2)),flip(a)]. 9280 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,9064,a),flip(a)]. 9284 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8035(a,1),9202(a,1,1)),flip(a)]. 9285 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9284(a,1),19(a,1,1))]. 9287 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(16(a,1),9285(a,1,1,1,1))]. 9288 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(8995,a,7155,a)]. 9289 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8034(a,1),9288(a,1,3))]. 9290 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6560,a,9289,a)]. 9292 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9290(a,1),1861(a,1,1,2))]. 9299 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(220,a,9255,a(flip),b,9141,a(flip))]. 9305 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(16(a,1),9287(a,2,2,1,1))]. 9306 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,9305,a)]. 9307 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9305(a,1),272(a,1,1)),flip(b)]. 9309 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(118(a,2),9306(a,1,2))]. 9310 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(7171(a,2),9309(a,1,1))]. 9311 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9310(a,1),429(a,1))]. 9312 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5277(a,1),5286(a,1,1,2,1))]. 9313 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(87,a,9312,a)]. 9314 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(9313(a,2),63(a,1,2))]. 9315 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(9314(a,1),7588(a,1,1,1)),flip(a)]. 9330 T(x / (y \ 1),(x / (y \ 1)) \ x) = ((x / (y \ 1)) \ T(x,y)) \ T(x,y). [hyper(5662,a,6781,a),flip(a)]. 9331 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [hyper(220,a,524,a(flip),b,9330,a(flip))]. 9333 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(9331(a,1),63(a,1,2))]. 9339 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(220,a,891,a(flip),b,6798,a(flip)),flip(a)]. 9347 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(173(a,1),9204(a,2,1))]. 9348 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(220,a,9195,a(flip),b,9347,a(flip))]. 9350 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8955(a,1),9339(a,2,2,2,1,1))]. 9356 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(15(a,1),5876(a,1,1))]. 9357 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5002,a,9356,a),flip(a)]. 9358 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1654(a,1),9357(a,1,1))]. 9359 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6908,a(flip),b,9358,a)]. 9360 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6910,a(flip),b,9359,a(flip)),flip(a)]. 9361 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(160,a,9360,a,b,3661,a)]. 9363 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(39,a,9361,a)]. 9364 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9363(a,1),4904(a,1,1,1))]. 9365 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9364(a,1),2173(a,1,1)),flip(a)]. 9366 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3273(a,1),5925(a,1,2,1,1))]. 9367 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3041(a,1),9366(a,1,2))]. 9368 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(220,a,6862,a(flip),b,6649,a(flip))]. 9369 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1829(a,2),6748(a,1,2))]. 9379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(45(a,2),8753(a,1,1,2))]. 9388 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9193(a,1),5012(a,1))]. 9464 (x * y) * L((y \ (z \ 1)) * K(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5726(a,1),9369(a,1,2,1))]. 9474 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7959(a,1),9379(a,1,2))]. 9475 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8733(a,1),9474(a,1,2))]. 9476 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(9475(a,1),6740(a,1,1,2))]. 9478 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5362(a,1),9476(a,1,1))]. 9479 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,6964,a(flip),b,9478,a(flip))]. 9480 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9479(a,1),8593(a,2,1))]. 9481 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4628(a,1),4661(a,2,1))]. 9489 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4857(a,1),5128(a,2,2))]. 9490 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(9489(a,2),396(a,1))]. 9492 L(x,y,T(x,z)) = L(x,y,x). [hyper(9490,a,7272,a),flip(a)]. 9494 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9492(a,1),43(a,2,1))]. 9497 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(220,a,43,a,b,9494,a)]. 9530 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(220,a,4562,a,b,6215,a),flip(a)]. 9550 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(142(a,1),8282(a,1,1))]. 9552 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6173(a,1),9550(a,1,2))]. 9553 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(9367(a,1),9552(a,1,2)),flip(a)]. 9554 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(220,a,14,a(flip),b,9553,a)]. 9555 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5249,a,9554,a)]. 9562 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(66(a,1),9481(a,1,1,2)),flip(a)]. 9563 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3762(a,1),9530(a,1,1)),flip(a)]. 9565 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(9563(a,1),6218(a,1,2)),flip(a)]. 9568 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(220,a,9315,a(flip),b,9565,a)]. 9569 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(220,a,5279,a(flip),b,9568,a)]. 9570 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(220,a,8332,a(flip),b,9569,a(flip)),flip(a)]. 9580 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = K(y,z). [hyper(220,a,2033,a(flip),b,6627,a)]. 9584 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(220,a,5487,a(flip),b,7137,a(flip))]. 9585 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(118(a,1),7174(a,2,2))]. 9591 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9175(a,1),8583(a,1,2))]. 9592 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7875(a,1),9591(a,1,2))]. 9594 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8526(a,1),9592(a,2,1))]. 9595 (L(x,y,z) * (K(u,x) * w)) \ (L(x,y,z) * (w * K(u,x))) = K(L(x,y,z) * w,K(u,x)). [para(7181(a,1),8880(a,1,2))]. 9599 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9475(a,1),9480(a,1,2,1))]. 9600 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5114(a,1),9599(a,1,2))]. 9603 K(L(x,K(y,z),L(z,u,w)),K(y,z)) = K(L(z,u,w) * x,K(y,z)). [hyper(6951,a,9595,a)]. 9604 K(x,K(L(y,K(x,z),L(z,u,w)),z)) = K(L(z,u,w) * y,K(x,z)). [hyper(7879,a,9603,a)]. 9618 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5778(a,1),6628(a,1,1,2))]. 9619 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(220,a,581,a(flip),b,9618,a)]. 9621 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(9619(a,1),19(a,1,1))]. 9622 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5249,a,9621,a)]. 9623 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7875(a,2),9621(a,1,1))]. 9624 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5238(a,1),9622(a,1,2,2)),flip(a)]. 9625 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(220,a,7704,a(flip),b,9624,a)]. 9629 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(9625(a,1),4818(a,1,2)),flip(a)]. 9630 R(x,y,T(x,y)) * z = x * (x * (L(x,y,x) \ z)). [hyper(220,a,5959,a(flip),b,9629,a(flip)),flip(a)]. 9631 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [para(4576(a,1),9630(a,1,1)),flip(a)]. 9632 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [hyper(20,a,1326,a,b,9631,a),flip(a)]. 9634 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7875(a,2),9623(a,2,2,1))]. 9635 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(555,a,9634,a),flip(a)]. 9636 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7875(a,2),9635(a,1,2,1))]. 9695 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(392(a,1),5396(a,1,2))]. 9696 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(5082(a,1),9695(a,1,2,2))]. 9697 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(87,a,9696,a),flip(a)]. 9698 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(9696(a,1),272(a,1,1)),flip(b)]. 9699 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1325(a,1),9696(a,1,1,2))]. 9700 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9696(a,1),8699(a,1,2)),flip(a)]. 9702 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9696(a,1),9074(a,1,2,2)),flip(a)]. 9704 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4972(a,1),9702(a,1,2,2,2)),flip(a)]. 9707 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(220,a,7618,a(flip),b,9704,a(flip))]. 9710 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5249,a,9699,a),flip(a)]. 9711 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5238(a,1),9699(a,1,2,2)),flip(a)]. 9714 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(71,a,58,a(flip),b,9710,a),flip(a)]. 9715 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(71,a,9714,a,b,1240,a)]. 9718 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7282(a,1),9711(a,2,2))]. 9741 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5114(a,1),9718(a,1,2)),flip(a)]. 9755 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(220,a,9299,a(flip),b,9707,a(flip))]. 9764 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(220,a,7617,a,b,9755,a(flip))]. 9772 (x * y) * L((y \ (z \ 1)) * K(y \ 1,z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5578(a,1),9464(a,1,2,1,2))]. 9773 x * (y * ((y \ (z \ 1)) * K(y \ 1,z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(212,a,9772,a)]. 9774 (x * K(y \ 1,z)) * (z \ 1) = x * ((z \ 1) * K(y \ 1,z)). [para(7143(a,1),9773(a,1,2)),flip(a)]. 9775 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4847(a,1),9774(a,2,2))]. 9776 (x * K(y,z)) * (z \ 1) = x * (T(z,(y \ 1) \ 1) \ 1). [para(3041(a,1),9775(a,1,1,2))]. 9777 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(3083(a,1),9776(a,2,2,1))]. 9778 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4834(a,1),9777(a,2,2))]. 9781 L((x \ (x * (T(y,z) \ 1))) / (y \ 1),y \ 1,x) = K(z,y). [para(9777(a,1),9580(a,1,1,1,2))]. 9782 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(220,a,6625,a(flip),b,9778,a(flip)),flip(a)]. 9785 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(9782(a,1),3422(a,1,1))]. 9787 L((T(x,y) \ 1) / (x \ 1),x \ 1,z) = K(y,x). [para(16(a,1),9781(a,1,1,1))]. 9789 L(K(x,y),y \ 1,z) = K(x,y). [para(5113(a,1),9787(a,1,1))]. 9791 (x * (y \ K(y,z))) * K(z,y) = x * (y \ 1). [para(9789(a,1),6542(a,1,2))]. 9792 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(506,a,9791,a)]. 9794 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4801(a,2),9792(a,1,1))]. 9795 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9794(a,2),66(a,1,1))]. 9796 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4990(a,1),9795(a,2,2))]. 9797 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(120(a,1),9796(a,1,1,1))]. 9798 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9797(a,1),6760(a,1,1))]. 9799 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4232(a,2),9798(a,1,1,2))]. 9800 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(8747(a,1),9799(a,1,1,2))]. 9801 R(x,y \ 1,K(z,y)) = x. [hyper(272,a,9785,a)]. 9804 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(220,a,4870,a(flip),b,9801,a(flip)),flip(a)]. 9805 R(x,y,K(z,y \ 1)) = x. [hyper(220,a,4432,a(flip),b,9801,a(flip)),flip(a)]. 9806 R(x,y \ z,K(u,z \ y)) = x. [para(6107(a,1),9805(a,1,3))]. 9807 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(9806(a,1),414(a,1,1))]. 9808 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4847(a,1),9804(a,1,2))]. 9809 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(9808(a,1),66(a,1,1))]. 9811 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(220,a,9333,a,b,9809,a(flip)),flip(a)]. 9813 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(9811(a,1),4250(a,1,1)),flip(a)]. 9814 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(66(a,1),9813(a,1,1,2,1)),flip(a)]. 9815 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),T(x,y)) \ 1) \ T(x,y). [para(831(a,2),9814(a,2,1,2)),flip(a)]. 9816 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(9807(a,1),6656(a,1,2))]. 9832 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5464,a,9816,a),flip(a)]. 9833 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,9832,a)]. 9836 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),9833(a,1,2,1))]. 9837 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(5661,a,9836,a),flip(a)]. 9839 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,9836,a)]. 9840 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(9836(a,1),5661(a,1))]. 9842 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(150(a,2),9839(a,1,1,2))]. 9843 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(220,a,9292,a(flip),b,9842,a(flip)),flip(a)]. 9848 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9843(a,1),1896(a,1,1))]. 9849 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),x) \ 1) \ T(x,y). [para(4302(a,1),9815(a,2,1,1))]. 9850 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(2287(a,1),9849(a,2,1))]. 9851 (T(x,y) \ ((1 / y) \ T(x,y))) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(831(a,1),9850(a,1,1,2))]. 9852 (x \ ((1 / y) \ x)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(4363(a,1),9851(a,1,1))]. 9853 (1 / T(x,y)) \ T(y,x) = (1 / x) \ y. [hyper(4047,a,9852,a),flip(a)]. 9854 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [para(9853(a,1),63(a,1,2))]. 9855 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(9842(a,1),9854(a,2,2))]. 9856 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6547(a,1),9855(a,1,1))]. 9857 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5459,a,9600,a)]. 9861 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(7623,a,9857,a)]. 9894 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(220,a,4455,a(flip),b,6987,a)]. 9895 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(220,a,1313,a(flip),b,9894,a)]. 9896 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1733(a,1),9895(a,1,2))]. 9897 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4741,a(flip),b,9896,a)]. 9907 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(4818(a,1),9153(a,1,1))]. 9908 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,9907,a),flip(a)]. 9909 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(9907(a,1),597(a,1))]. 9910 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5062(a,1),9908(a,1,2)),flip(a)]. 9912 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9562(a,2,2,2,1,1,2))]. 9913 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9912(a,1,2))]. 9914 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(9913(a,1),9368(a,1,1))]. 9915 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6648,a,9914,a)]. 9916 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9233,a(flip),b,9915,a(flip))]. 9918 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9244,a(flip),b,9916,a(flip)),flip(a)]. 9919 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(9918(a,1),4801(a,2,2)),flip(a)]. 9975 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * K(z \ (x * y),u). [para(2434(a,1),6333(a,2,2))]. 9976 x * (y * (1 / (1 / (y \ ((x \ z) * T((x \ z) \ y,u)))))) = (x * y) * K(z \ (x * y),u). [para(1167(a,1),9975(a,1,2,2,2,2,2))]. 9977 x * (y * (1 / (1 / K((x \ z) \ y,u)))) = (x * y) * K(z \ (x * y),u). [para(6139(a,1),9976(a,1,2,2,2,2))]. 9978 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(2434(a,1),9977(a,1,2,2)),flip(a)]. 9982 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [hyper(388,a,9978,a)]. 9991 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(16(a,1),9982(a,1,1,1,1))]. 9992 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5242(a,1),9982(a,1,1,1,1))]. 9995 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(66(a,1),9991(a,1,1,1)),flip(a)]. 9996 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),9991(a,2,1))]. 10000 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(9991(a,2),7622(a,1))]. 10001 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4026,a,9996,a)]. 10004 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(10001(a,1),4982(a,1,1))]. 10005 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(107(a,2),9995(a,1,1))]. 10006 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(220,a,31,a(flip),b,10005,a)]. 10007 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(220,a,8061,a(flip),b,10005,a(flip))]. 10008 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),10005(a,1,1,2)),flip(a)]. 10010 L(K(x,y),z,K(u,x)) = K(x,y). [para(7268(a,1),10005(a,1,1)),flip(a)]. 10012 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(10010(a,1),103(a,1,2))]. 10013 K(L(x,y,z),z) = K(x,z). [hyper(7290,a,10008,a),flip(a)]. 10014 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(7178,a,10008,a),flip(a)]. 10015 K(L(x,y,x),z) = K(x,z). [hyper(7035,a,10008,a),flip(a)]. 10016 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(220,a,3041,a,b,10008,a)]. 10017 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(220,a,7770,a(flip),b,10008,a(flip))]. 10018 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(220,a,7111,a(flip),b,10008,a(flip))]. 10019 K(L(x,y,z),x \ 1) = K(x,L(x \ 1,u,w)). [hyper(220,a,5857,a(flip),b,10008,a(flip))]. 10022 K(L(x,y,x),z) != u | K(x,z) = u. [para(10008(a,1),7035(a,1))]. 10024 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10008(a,1),7315(a,1,2,2))]. 10025 K(x * K(L(y,z,u),w),y) = K(x,y). [para(10008(a,1),7754(a,1,1,2))]. 10028 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(10013(a,1),8073(a,1,1,2)),flip(a)]. 10030 L(x,y,x) \ L(T(x,z),y,x) = K(x,z). [hyper(220,a,4802,a,b,10015,a(flip)),flip(a)]. 10033 K(L(x,y,z) * u,K(w,x)) = K(w,K(u,x)). [para(10014(a,1),9604(a,1,2)),flip(a)]. 10034 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(220,a,8603,a(flip),b,10018,a(flip))]. 10035 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(8232(a,2),10022(a,1))]. 10036 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(397(a,1),10024(a,1,2))]. 10038 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7368(a,1),10025(a,1,1))]. 10043 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(703(a,1),10035(a,1,1))]. 10046 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10038(a,1),8073(a,1,1,2)),flip(a)]. 10051 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(10030(a,1),17(a,1,2))]. 10055 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(10051(a,1),5839(a,1,1)),flip(a)]. 10058 K(L(x,K(y,z),u),y) = K(x,y). [hyper(220,a,7750,a(flip),b,10017,a)]. 10060 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(217(a,1),10058(a,1,1))]. 10067 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,10028,a)]. 10068 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(400(a,1),10067(a,1,2,2)),flip(a)]. 10072 K(L(x,y,z) * u,K(w,x)) = K(x,K(w,u)). [hyper(220,a,7875,a(flip),b,10033,a)]. 10083 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(7897,a,10072,a)]. 10090 T(K(x,y),L(y,z,u) * w) = K(y,K(x,w)) * K(x,y). [para(10083(a,1),7846(a,1,1)),flip(a)]. 10091 L(K(x,x \ 1),y,z) = K(L(x,u,w),x \ 1). [hyper(220,a,5857,a,b,10019,a),flip(a)]. 10092 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(10043,a,8858,a),flip(a)]. 10094 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(10092(a,1),4801(a,2,2))]. 10095 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(220,a,4801,a,b,10094,a)]. 10096 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10095(a,1),8349(a,1,1,1))]. 10097 L(x,y,z) \ K(L(x,u,w),x \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(71,a,10091,a(flip),b,2348,a)]. 10109 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(10012(a,1),886(a,1,1,2))]. 10110 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(10016(a,2),5019(a,1))]. 10111 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(6206(a,1),10110(a,1,2))]. 10113 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(10055(a,1),5120(a,1,2))]. 10114 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(220,a,7760,a(flip),b,10060,a)]. 10117 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7232(a,1),10114(a,1,1,1)),flip(a)]. 10118 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8048(a,1),10114(a,1,1,1,2))]. 10120 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(220,a,8855,a(flip),b,10068,a(flip))]. 10121 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),10120(a,1,2,2,2)),flip(a)]. 10145 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(8306,a,10118,a),flip(a)]. 10146 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8303,a,10145,a),flip(a)]. 10148 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6663(a,1),10146(a,1,1,2)),flip(a)]. 10157 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(6530(a,1),10148(a,1,1,2,1))]. 10162 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(421(a,1),10157(a,1,1))]. 10170 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(10006(a,2),396(a,1))]. 10171 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(63(a,1),10170(a,1,1,2))]. 10174 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(220,a,8073,a(flip),b,10046,a)]. 10175 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),10174(a,1,2,2))]. 10176 T(K(x,y),L(y,z,u) * w) != v5 | K(x,T(y,w)) = v5. [para(10090(a,2),8174(a,1))]. 10177 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10176,a,7345,a(flip)),flip(a)]. 10180 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(10036(a,1),10177(a,1,2))]. 10186 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(17(a,1),10180(a,1,2,2,2))]. 10192 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(220,a,7489,a(flip),b,10186,a)]. 10193 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10192(a,1),8043(a,1,1,1)),flip(a)]. 10196 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(411(a,1),10171(a,1,1))]. 10204 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8048(a,1),10007(a,1,1)),flip(a)]. 10206 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(18(a,1),10204(a,1,1,2)),flip(a)]. 10207 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(135(a,1),10204(a,1,1,2)),flip(a)]. 10213 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4828(a,2),10207(a,1,2)),flip(a)]. 10214 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4856(a,1),10207(a,1,2))]. 10215 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8048(a,1),10207(a,1,1))]. 10216 L(K(x,y),K(z,x),u) = K(x,y). [hyper(220,a,8307,a(flip),b,10213,a(flip))]. 10219 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(10216(a,1),212(a,1,2))]. 10221 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5765(a,1),10216(a,1,2))]. 10222 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10221(a,1),103(a,1,2))]. 10223 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(220,a,8061,a(flip),b,10215,a)]. 10225 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(17(a,1),10223(a,1,2)),flip(a)]. 10226 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(220,a,10214,a,b,10225,a(flip)),flip(a)]. 10228 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [hyper(220,a,7233,a(flip),b,10226,a(flip)),flip(a)]. 10233 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(10228(a,1),478(a,1,2))]. 10234 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(220,a,10034,a(flip),b,10175,a(flip))]. 10237 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(19(a,1),10234(a,1,2,2,2)),flip(a)]. 10239 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(220,a,9764,a,b,10237,a(flip)),flip(a)]. 10243 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(10219,a,6671,a(flip)),flip(a)]. 10244 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(2122(a,2),10243(a,2,2))]. 10245 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(10243(a,1),6234(a,1,1))]. 10246 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [para(10243(a,1),6673(a,1,1))]. 10247 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6670,a,10244,a)]. 10249 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(220,a,6671,a(flip),b,10244,a(flip)),flip(a)]. 10250 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(2997(a,1),10244(a,1,1))]. 10251 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(10244(a,1),6673(a,1,1))]. 10259 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7368(a,1),10247(a,1,1))]. 10262 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5685(a,1),10249(a,1,1)),flip(a)]. 10263 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,10246,a,b,10251,a(flip)),flip(a)]. 10267 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(78,a,10263,a)]. 10268 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10263(a,1),272(a,1,1)),flip(b)]. 10272 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(220,a,2122,a,b,10267,a)]. 10280 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(220,a,7420,a(flip),b,10259,a)]. 10281 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(220,a,6524,a(flip),b,10262,a)]. 10282 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7368(a,1),10280(a,1,2))]. 10298 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(220,a,8988,a(flip),b,9992,a(flip)),flip(a)]. 10299 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(220,a,10117,a(flip),b,10298,a(flip))]. 10305 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8034(a,1),10299(a,1,1,2))]. 10315 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8071(a,1),10305(a,1,1,2))]. 10317 T(T(x,y),z \ T(x,u)) = 1 / (T(x,y) \ K(z \ x,T(x,y))). [para(10315(a,1),4969(a,2,2,2))]. 10336 T(T(x,y),z \ T(x,u)) = T(T(x,y),z \ x). [hyper(220,a,4969,a,b,10317,a)]. 10337 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(10336(a,1),8529(a,1,2))]. 10338 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(10337,a,10121,a),flip(a)]. 10339 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(8540,a,10338,a)]. 10340 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),10339(a,1,2,2)),flip(a)]. 10341 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10340(a,1),8751(a,1,1))]. 10348 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(5985,a,10097,a),flip(a)]. 10349 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(10348(a,1),1302(a,1,1)),flip(a)]. 10350 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(71,a,10349,a(flip),b,2992,a)]. 10351 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(10111,a,10206,a)]. 10353 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(10351(a,1),8404(a,1,1,1,2)),flip(a)]. 10355 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(8034(a,1),10193(a,2,1))]. 10365 R(x,L(K(y,z),u,w),K(z,v5)) = x. [hyper(418,a,10222,a)]. 10367 R(x,K(y,z),K(z,u)) = x. [para(378(a,1),10365(a,1,2))]. 10369 R(x,T(K(y,z),u),K(z,w)) = x. [para(1621(a,1),10367(a,1,2))]. 10371 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(10367(a,1),6160(a,1,1))]. 10372 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5468(a,1),10369(a,1,3))]. 10374 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10372(a,1),754(a,1,1)),flip(a)]. 10375 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10372(a,1),6932(a,1)),flip(a)]. 10378 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(220,a,8622,a(flip),b,10371,a)]. 10379 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(220,a,4123,a(flip),b,10371,a(flip))]. 10381 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1662(a,1),10371(a,1,2))]. 10384 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(220,a,5969,a,b,10379,a(flip)),flip(a)]. 10386 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(16(a,1),10384(a,1,2,2)),flip(a)]. 10387 x \ R(x,T(y,x),x) = a(x,y,x). [para(155(a,1),10386(a,1,2)),flip(a)]. 10388 x \ R(x,y,x) = a(x,y,x). [para(9277(a,1),10387(a,1,2))]. 10392 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5967,a,10388,a)]. 10393 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5964,a,10388,a)]. 10394 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,7820,a(flip),b,10388,a(flip))]. 10395 x * a(x,y,x) = R(x,y,x). [para(10388(a,1),17(a,1,2))]. 10402 x \ R(x,y,x) != z | a(x,y,x) = z. [para(10395(a,1),209(a,1,2)),flip(b)]. 10414 (x / y) * a(y,z,y) = x / L(y,z,y). [para(10393(a,1),10281(a,1,2))]. 10429 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(7176,a,10394,a)]. 10433 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10429(a,2),10402(a,1))]. 10435 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),10414(a,1,1)),flip(a)]. 10436 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1935,a,10435,a)]. 10438 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(220,a,7278,a(flip),b,10436,a(flip)),flip(a)]. 10442 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(220,a,10113,a,b,10438,a(flip)),flip(a)]. 10443 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(220,a,9632,a,b,10438,a(flip)),flip(a)]. 10445 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(10438(a,1),4875(a,1,2))]. 10446 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9497(a,1),10438(a,1,2,1))]. 10447 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10438(a,1),9631(a,1,2))]. 10448 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(220,a,7282,a(flip),b,10443,a(flip)),flip(a)]. 10449 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(16(a,1),10443(a,1,2)),flip(a)]. 10454 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [hyper(71,a,10447,a(flip),b,433,a)]. 10455 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,10447,a(flip),b,103,a)]. 10459 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4581(a,1),10448(a,1,2))]. 10461 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10449(a,1),209(a,1,2)),flip(b)]. 10465 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10455(a,1),10461(a,1))]. 10466 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10442(a,1),4857(a,1,2))]. 10477 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(220,a,7702,a(flip),b,10445,a)]. 10478 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10448(a,2),10466(a,1,2))]. 10481 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(20,a,10442,a(flip),b,10446,a(flip))]. 10484 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(220,a,9741,a(flip),b,10478,a(flip)),flip(a)]. 10486 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10484(a,1),9008(a,1,2))]. 10490 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(19(a,1),10239(a,1,2,1)),flip(a)]. 10494 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5996(a,1),10350(a,1,2)),flip(a)]. 10495 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(220,a,4684,a(flip),b,10494,a(flip))]. 10496 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3003,a,10495,a)]. 10502 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(220,a,7400,a(flip),b,10490,a(flip))]. 10503 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(220,a,6107,a(flip),b,10502,a)]. 10505 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(220,a,9095,a(flip),b,10503,a(flip))]. 10506 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(220,a,7107,a,b,10505,a(flip)),flip(a)]. 10508 L(K(x,x \ y),y,z) = K(x,x \ y). [para(16(a,1),10506(a,1,3))]. 10509 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7709,a,10508,a)]. 10514 K(x,L(y,x,z)) = K(x,x \ (x * y)). [hyper(220,a,7104,a(flip),b,10509,a(flip)),flip(a)]. 10516 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10509(a,1),7123(a,1,2))]. 10518 K(x,L(y,x,z)) = K(x,y). [para(16(a,1),10514(a,2,2))]. 10519 K(L(x,y,z),y) = K(x,y). [hyper(6958,a,10518,a)]. 10521 (x * (y * z)) * K(z,y) = x * (z * y). [para(10518(a,1),6949(a,1,2))]. 10522 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(10171,a,10519,a)]. 10525 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10519(a,1),10245(a,1,1,2,1)),flip(a)]. 10526 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10000,a,10522,a)]. 10527 L(K(x \ y,x),y,z) = K(y / x,x). [hyper(220,a,5147,a,b,10522,a)]. 10528 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(10527(a,2),5276(a,1))]. 10531 R(x,y * z,K(z,y)) = x. [hyper(21,a,427,a,b,10521,a(flip)),flip(a)]. 10535 R(x,y,T(z,y)) = R(x,y,z). [hyper(6819,a,10531,a)]. 10548 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(17(a,1),10526(a,1,1,2,2))]. 10550 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(220,a,7249,a(flip),b,10548,a(flip))]. 10552 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(5989(a,1),10550(a,1,1,2,1))]. 10557 T(x,L(y,x,z)) = T(x,y). [hyper(220,a,10245,a(flip),b,10525,a)]. 10561 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(220,a,9192,a(flip),b,10557,a(flip)),flip(a)]. 10565 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10557(a,1),6825(a,1,1,2)),flip(a)]. 10567 K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). [para(10561(a,1),6954(a,1,1,2,2)),flip(a)]. 10568 L(x,T(y,x),z) = L(x,y,z). [hyper(220,a,31,a,b,10565,a),flip(a)]. 10571 L(x,y / x,z) = L(x,x \ y,z). [para(120(a,1),10568(a,1,2)),flip(a)]. 10574 K(x,L(y,y \ z,u)) != w | L(K(x,y),z,u) = w. [para(10571(a,1),6596(a,1,2))]. 10577 K(x,L(y,K(y,z) * u,w)) != v5 | L(K(x,y),T(y,z) * u,w) = v5. [para(5061(a,1),10574(a,1,2,2))]. 10592 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(8049(a,1),10341(a,1,1)),flip(a)]. 10659 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(10233,a,8038,a(flip)),flip(a)]. 10660 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7092(a,1),10374(a,1,2)),flip(a)]. 10668 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5022,a,10486,a),flip(a)]. 10669 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(10496(a,1),3650(a,2,1)),flip(a)]. 10683 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(220,a,7221,a(flip),b,10096,a(flip)),flip(a)]. 10684 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(220,a,8901,a,b,10683,a(flip)),flip(a)]. 10685 K(a(x,y,z),x) = 1. [hyper(5930,a,10684,a),flip(a)]. 10688 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,10685,a)]. 10700 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(220,a,6954,a(flip),b,10567,a)]. 10701 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7662(a,1),10659(a,1,1))]. 10702 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(u * z) / (u * (y \ z))). [hyper(220,a,9697,a,b,10701,a)]. 10704 L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(10701(a,2),9698(a,1))]. 10706 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(220,a,8751,a(flip),b,10702,a(flip))]. 10708 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(220,a,9585,a,b,10706,a),flip(a)]. 10709 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(220,a,10592,a(flip),b,10706,a)]. 10710 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(220,a,9306,a(flip),b,10706,a)]. 10711 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10706(a,2),9307(a,1))]. 10712 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(220,a,9916,a(flip),b,10710,a(flip)),flip(a)]. 10713 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),10712(a,1,2,2,2)),flip(a)]. 10714 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),10713(a,2,2))]. 10716 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9311,a,10714,a)]. 10717 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10716(a,1),426(a,1,1))]. 10718 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(220,a,6882,a(flip),b,10717,a(flip))]. 10719 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4883(a,1),10718(a,2,1))]. 10720 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(220,a,7171,a(flip),b,10719,a(flip)),flip(a)]. 10722 L(x,K(y,z),z * y) = x. [hyper(679,a,10720,a)]. 10723 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(479,a,10720,a)]. 10730 L(x,K(y \ z,y),z) = x. [para(17(a,1),10722(a,1,3))]. 10731 L(x,K(y,y \ z),z) = x. [para(5148(a,1),10730(a,1,2))]. 10732 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(220,a,6087,a(flip),b,10731,a(flip)),flip(a)]. 10733 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(220,a,9285,a,b,10723,a(flip)),flip(a)]. 10736 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),10732(a,1,2)),flip(a)]. 10737 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10736(a,1),10723(a,1,2)),flip(a)]. 10742 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(8751(a,1),10704(a,1))]. 10743 L(K(x,x \ y),z,y) != u | K(x,(y * z) / (y * ((x \ y) \ z))) = u. [para(10592(a,1),10742(a,1))]. 10754 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(220,a,8404,a(flip),b,10353,a)]. 10755 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7368(a,1),10754(a,1,2,2))]. 10756 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(10577,a,10755,a)]. 10757 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10519(a,1),10756(a,1,1))]. 10758 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(220,a,10756,a(flip),b,10757,a(flip))]. 10760 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(795(a,1),10758(a,1,1)),flip(a)]. 10761 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(220,a,7474,a(flip),b,10760,a)]. 10762 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(220,a,580,a(flip),b,10761,a)]. 10764 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(220,a,7474,a(flip),b,10762,a(flip)),flip(a)]. 10765 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9388,a,10764,a)]. 10766 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1938(a,1),10378(a,1,2))]. 10767 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,10766,a),flip(a)]. 10769 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(220,a,8592,a,b,10767,a(flip)),flip(a)]. 10796 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(10196,a,9584,a)]. 10797 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(597,a,10381,a),flip(a)]. 10799 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(220,a,8755,a(flip),b,10797,a(flip)),flip(a)]. 10801 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7783(a,1),10797(a,1,1))]. 10803 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10797(a,1),7849(a,1,1)),flip(a)]. 10804 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10799(a,1),17(a,1,2))]. 10805 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10799(a,1),3659(a,1,1)),flip(a)]. 10806 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8947(a,2),10799(a,1,2))]. 10807 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10799(a,1),9203(a,1,2)),flip(a)]. 10808 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10804(a,1),209(a,1,2)),flip(b)]. 10809 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4290(a,1),10805(a,2,1))]. 10812 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5212,a,10807,a)]. 10813 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5868,a,10812,a)]. 10814 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10812(a,1),17(a,1,2))]. 10815 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(220,a,9594,a(flip),b,10803,a(flip))]. 10816 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10375,a,10815,a)]. 10817 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10808,a,10806,a)]. 10818 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4326,a(flip),b,10817,a(flip))]. 10819 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4291,a,10818,a)]. 10820 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8947(a,1),10809(a,1,1))]. 10821 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10819(a,1),10820(a,2,1))]. 10822 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(220,a,10805,a(flip),b,10821,a(flip)),flip(a)]. 10825 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7173(a,1),10708(a,1,3)),flip(a)]. 10826 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(220,a,10709,a(flip),b,10825,a(flip))]. 10828 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(220,a,10535,a(flip),b,10826,a(flip)),flip(a)]. 10829 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(10828(a,1),10355(a,1,2))]. 10830 (x * K(y,y \ z)) * z != (x * z) * u | L(K(y,y \ z),x,z) = u. [para(10829(a,1),22(a,1))]. 10831 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7362(a,1),10801(a,1,2)),flip(a)]. 10832 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(220,a,10797,a(flip),b,10831,a)]. 10835 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(288(a,1),10832(a,1,2,2))]. 10838 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(220,a,7809,a(flip),b,10162,a(flip))]. 10840 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(33(a,2),10838(a,1,1))]. 10841 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(220,a,7620,a,b,10840,a(flip)),flip(a)]. 10842 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(220,a,8629,a,b,10841,a(flip)),flip(a)]. 10843 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(220,a,9700,a(flip),b,10842,a(flip)),flip(a)]. 10846 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10843(a,2),8702(a,1))]. 10848 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6873(a,1),10846(a,1))]. 10970 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10796(a,1),10528(a,1))]. 10971 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(10970,a,10700,a)]. 10972 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10552,a(flip),b,10971,a(flip))]. 10974 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10765,a(flip),b,10972,a(flip)),flip(a)]. 10975 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,6440,a(flip),b,10974,a(flip)),flip(a)]. 10976 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7813,a,10975,a)]. 10977 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(220,a,9280,a(flip),b,10976,a)]. 10978 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(54(a,1),10977(a,2,1))]. 10979 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10978(a,1),4934(a,1,1,2))]. 10981 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5486(a,1),10979(a,1,1))]. 10982 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6442(a,1),10981(a,1,1,1,2))]. 10983 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(220,a,43,a,b,10982,a(flip))]. 10984 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5364(a,1),10983(a,2,1))]. 10985 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10984(a,1),393(a,1,2))]. 10989 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(368,a,10985,a),flip(a)]. 10991 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(282,a,10989,a),flip(a)]. 10993 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(220,a,4934,a,b,10991,a),flip(a)]. 11005 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(9570(a,1),10004(a,1,1))]. 11006 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),11005(a,1,2,2)),flip(a)]. 11008 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4812(a,2),11006(a,2,2))]. 11009 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(220,a,4976,a(flip),b,11008,a)]. 11010 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,11009,a)]. 11011 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(11009(a,2),4565(a,1))]. 11012 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11010(a,1,1,3))]. 11040 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5242(a,1),10250(a,1,1,1))]. 11044 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2435(a,1),11040(a,1,1,2)),flip(a)]. 11045 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6190(a,1),11044(a,2,1))]. 11046 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(220,a,8400,a,b,11045,a)]. 11047 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2434(a,1),11046(a,1,1,1))]. 11048 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5242(a,1),11047(a,1,1))]. 11049 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(220,a,7959,a,b,11048,a)]. 11050 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2122(a,1),11049(a,1,2))]. 11051 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(72,a,11050,a(flip),b,4815,a)]. 11064 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(6990(a,1),9856(a,1,2))]. 11065 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(220,a,5951,a(flip),b,11064,a(flip)),flip(a)]. 11066 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(220,a,9837,a(flip),b,11065,a)]. 11067 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(11065(a,2),9840(a,1))]. 11068 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(11066(a,1),66(a,1,1))]. 11071 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7959(a,1),11051(a,1,1))]. 11092 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(220,a,6362,a(flip),b,6747,a)]. 11093 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(220,a,10249,a(flip),b,11092,a)]. 11094 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10769(a,1),11093(a,2,2))]. 11095 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6397,a,11094,a)]. 11096 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6744(a,1),11095(a,1,2))]. 11097 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(220,a,6684,a(flip),b,11096,a(flip)),flip(a)]. 11098 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8581(a,1),11097(a,1,2))]. 11244 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(167(a,1),10109(a,1,1)),flip(a)]. 11250 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4421(a,1),10669(a,1,2))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4739(a,1),11250(a,1,2))]. 11252 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(220,a,9897,a(flip),b,11251,a(flip))]. 11254 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(150(a,1),11252(a,1,2,2,1))]. 11255 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11254(a,1),4378(a,1,2))]. 11256 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(11067,a,11255,a)]. 11257 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11255(a,1),9059(a,2,1))]. 11283 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),7125(a,1,1,2))]. 11298 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(220,a,10813,a(flip),b,9350,a(flip)),flip(a)]. 11299 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(9909,a,11298,a)]. 11302 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9348(a,1),11299(a,2,2,2))]. 11303 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),11302(a,2,2,2,1))]. 11304 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),11303(a,2,2))]. 11306 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(220,a,10799,a(flip),b,11304,a)]. 11307 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(220,a,9910,a(flip),b,11306,a(flip))]. 11310 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9364(a,1),9365(a,2,2,1,1))]. 11311 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(66(a,1),11310(a,2,2,1))]. 11313 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(220,a,3511,a(flip),b,11311,a)]. 11314 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(66(a,1),11313(a,1,1,2,1))]. 11315 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3511(a,1),11314(a,1,1))]. 11316 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6498,a,11315,a)]. 11317 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11316(a,1),4327(a,1,1,1))]. 11318 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,657,a(flip),b,11317,a(flip)),flip(a)]. 11319 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(114(a,1),11318(a,1,1,2))]. 11320 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(27(a,2),11319(a,1,1)),flip(a)]. 11321 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,10688,a(flip),b,11320,a),flip(a)]. 11322 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(27(a,2),11321(a,2,1,1)),flip(a)]. 11323 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5242(a,1),9715(a,1,1,2))]. 11324 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(425(a,1),10454(a,1,2)),flip(a)]. 11325 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(10465,a,11324,a),flip(a)]. 11328 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),11283(a,1,1,2,1))]. 11329 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(6521(a,1),11323(a,1,1))]. 11368 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11328(a,1,1))]. 11369 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11368(a,1,1,2))]. 11370 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(7103(a,1),11369(a,1,1,2,2))]. 11371 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(6541,a,11370,a),flip(a)]. 11372 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(220,a,7285,a(flip),b,11371,a)]. 11373 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(220,a,7134,a(flip),b,11372,a(flip))]. 11374 K(L(x \ y,z,u) \ (w \ 1),w) = L(K(y \ (w \ x),w),z,u). [hyper(220,a,7687,a(flip),b,11373,a(flip))]. 11375 L(K(1 \ (x \ y),x),T(y,z),u) = K(L(y \ 1,y,u) \ (x \ 1),x). [para(9290(a,1),11374(a,1,1,1)),flip(a)]. 11376 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(1 \ (x \ y),x),y,u). [hyper(220,a,11374,a(flip),b,11375,a)]. 11377 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11376(a,2,1,1))]. 11378 L(K(x \ y,x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11377(a,1,1,1))]. 11379 (x * y) * L(K(z \ x,z),x,y) = y * (T(x,y) * K(z \ x,z)). [para(11378(a,1),395(a,1,2))]. 11380 (x * y) * L(K(z \ x,z),x,y) = y * (K(x,y) * ((z \ x) * z)). [para(5090(a,2),11379(a,2,2))]. 11402 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11012(a,1,2,1))]. 11419 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(11011,a,11402,a),flip(a)]. 11420 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(6935,a,11419,a),flip(a)]. 11421 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(220,a,4724,a,b,11420,a(flip)),flip(a)]. 11422 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(7675(a,1),11421(a,1,1))]. 11423 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(220,a,599,a(flip),b,11422,a(flip)),flip(a)]. 11424 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(11423(a,1),17(a,1,2))]. 11425 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(213,a,11424,a),flip(a)]. 11426 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,10723,a,b,11425,a)]. 11428 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(220,a,10737,a(flip),b,11426,a(flip)),flip(a)]. 11429 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),11426(a,1,2)),flip(a)]. 11430 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,5238,a(flip),b,11428,a)]. 11431 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,10733,a,b,11429,a),flip(a)]. 11434 (x * y) * K(z \ x,z) = x * (y * K(z \ x,z)). [para(11431(a,1),103(a,1,2))]. 11436 L(x,y,K(z,z \ y)) = x. [hyper(5096,a,11430,a)]. 11437 L(x,y * z,K(z,y)) = x. [para(4987(a,1),11436(a,1,3))]. 11438 L(x,T(y,z),z) = L(x,y,z). [hyper(6737,a,11437,a)]. 11446 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11438(a,1),395(a,1,2))]. 11459 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11446,a)]. 11461 (x * y) * L(K(z \ x,z),x,u) = x * (y * K(z \ x,z)). [para(10522(a,2),11434(a,1,2))]. 11481 x * (K(y,x) * ((z \ y) * z)) = y * (x * K(z \ y,z)). [hyper(220,a,11380,a(flip),b,11461,a(flip)),flip(a)]. 11482 K(x,y) * (y * ((z \ x) * z)) = x * (y * K(z \ x,z)). [hyper(5456,a,11481,a)]. 11484 (x * K(y \ z,y)) * z = x * ((y \ z) * y). [hyper(8720,a,11482,a)]. 11485 R(x,K(y \ z,y),z) = x. [hyper(5199,a,11484,a)]. 11487 R(x,K(y,z),z * y) = x. [para(16(a,1),11485(a,1,2,1))]. 11488 R(x,K(y,y \ z),z) = x. [para(5148(a,1),11485(a,1,2))]. 11489 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(220,a,6207,a(flip),b,11487,a(flip)),flip(a)]. 11490 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(11488(a,1),5095(a,1,1)),flip(a)]. 11493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(220,a,218,a(flip),b,11489,a(flip))]. 11496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(11493(a,1),7549(a,1,2))]. 11498 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [hyper(220,a,10516,a,b,11490,a)]. 11501 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(10830,a,11498,a)]. 11502 K(x,(y * z) / (y * ((x \ y) \ z))) = K(x,x \ y). [hyper(10743,a,11501,a)]. 11507 K(x,((y * x) * z) / ((y * x) * (T(y,x) \ z))) = K(x,x \ (y * x)). [para(35(a,2),11502(a,1,2,2,2,1))]. 11512 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,x \ (y * x)). [hyper(220,a,9232,a(flip),b,11507,a(flip)),flip(a)]. 11513 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,y). [hyper(220,a,4987,a(flip),b,11512,a)]. 11514 L(K(x,y),z,y * x) = K(x,y). [hyper(10711,a,11513,a)]. 11517 K(x,R(y,x,z)) = K(x,y). [hyper(220,a,10714,a(flip),b,11514,a(flip)),flip(a)]. 11518 K(R(x,y,z),y) = K(x,y). [hyper(10848,a,11517,a)]. 11520 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(220,a,7686,a,b,11517,a(flip)),flip(a)]. 11521 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(220,a,9264,a(flip),b,11517,a(flip)),flip(a)]. 11525 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(220,a,11518,a,b,11518,a)]. 11535 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11525(a,1),8630(a,1,2)),flip(a)]. 11537 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(11496,a,11521,a)]. 11542 T(x,R(y,x,z)) = T(x,y). [hyper(220,a,9005,a(flip),b,11535,a)]. 11543 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(446(a,1),11542(a,1,2))]. 11544 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11537(a,1),9919(a,1,2))]. 11554 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4804,a,11544,a),flip(a)]. 11576 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(220,a,45,a,b,11543,a(flip)),flip(a)]. 11577 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(220,a,4088,a(flip),b,11576,a)]. 11578 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(220,a,45,a,b,11577,a)]. 11579 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11554(a,1),11578(a,1,1))]. 11580 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),11579(a,1,1,2,2)),flip(a)]. 11581 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(5667,a,11580,a),flip(a)]. 11582 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11580(a,1),5217(a,1,2,1))]. 11583 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(220,a,889,a(flip),b,11581,a(flip)),flip(a)]. 11584 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(16(a,1),11581(a,1,1,2)),flip(a)]. 11588 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5490(a,1),11583(a,2,1))]. 11591 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1329(a,1),11584(a,1,1)),flip(a)]. 11593 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(220,a,167,a(flip),b,11591,a)]. 11594 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(45(a,2),11593(a,2,1))]. 11595 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(220,a,613,a(flip),b,11594,a)]. 11596 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11595(a,1),4837(a,1,1))]. 11597 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,11596,a),flip(a)]. 11598 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7813,a,11597,a)]. 11599 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(220,a,8950,a,b,11598,a)]. 11600 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11599(a,1),10993(a,1,1,2))]. 11603 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5957,a,11582,a),flip(a)]. 11605 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11603(a,1),4938(a,1,1,2))]. 11606 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5480(a,1),11600(a,1,1))]. 11607 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6442(a,1),11606(a,1,1,1,2))]. 11608 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(220,a,45,a,b,11607,a(flip)),flip(a)]. 11609 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5364(a,1),11608(a,1,1)),flip(a)]. 11610 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(220,a,10991,a(flip),b,11609,a(flip)),flip(a)]. 11611 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11609(a,1),11098(a,1,2))]. 11612 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11610(a,1),425(a,1,1)),flip(a)]. 11613 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(220,a,114,a(flip),b,11612,a)]. 11614 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9479(a,1),11613(a,1,1,1)),flip(a)]. 11615 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11613(a,1),11325(a,1,2))]. 11616 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(220,a,7078,a(flip),b,11588,a)]. 11617 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7076(a,1),11616(a,1,1)),flip(a)]. 11618 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11617(a,1),10459(a,1,2))]. 11619 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5480(a,1),11605(a,1,1))]. 11620 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(220,a,45,a,b,11619,a(flip)),flip(a)]. 11621 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4938(a,1),11620(a,1,1)),flip(a)]. 11622 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(220,a,47,a(flip),b,11621,a)]. 11623 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11622(a,1),1076(a,1,1,1)),flip(a)]. 11624 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4589(a,1),11618(a,1,2,1)),flip(a)]. 11625 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(220,a,1076,a(flip),b,11623,a)]. 11626 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(45(a,2),11625(a,2,3))]. 11628 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(11068(a,1),4651(a,1,2,1))]. 11629 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(220,a,9837,a(flip),b,11628,a)]. 11630 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11256(a,1),11629(a,1,1))]. 11631 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(220,a,11257,a,b,11630,a(flip)),flip(a)]. 11632 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6267(a,1),11631(a,1,1))]. 11633 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(220,a,5568,a(flip),b,11632,a(flip))]. 11634 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(220,a,9848,a(flip),b,11633,a(flip)),flip(a)]. 11635 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11634(a,1),66(a,1,1))]. 11636 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11635(a,1),2291(a,1,1))]. 11637 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(118(a,1),11636(a,1,1,1)),flip(a)]. 11640 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10272(a,1),11637(a,1,1,1)),flip(a)]. 11716 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1764(a,1),9800(a,1,1))]. 11717 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(220,a,7095,a(flip),b,11716,a)]. 11719 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11717(a,1),17(a,1,2))]. 11720 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11719(a,1),11329(a,1,1))]. 11721 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(9714(a,1),11720(a,1,2))]. 11722 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1026,a,11721,a)]. 11723 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(220,a,5242,a(flip),b,11722,a)]. 11724 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(220,a,9160,a,b,11723,a(flip)),flip(a)]. 11725 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2931,a,11724,a),flip(a)]. 11726 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(220,a,8064,a(flip),b,11725,a(flip))]. 11728 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10035,a,11726,a),flip(a)]. 11730 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11728(a,1),9555(a,1,1))]. 11731 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5122,a,11730,a)]. 11732 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9479(a,1),11730(a,1,2,2))]. 11733 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11731(a,1),10808(a,1))]. 11734 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10807(a,1),11732(a,1,2))]. 11735 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5265,a,11734,a)]. 11736 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11733,a,11735,a)]. 11738 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11736(a,1),10822(a,1,1)),flip(a)]. 11739 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11738(a,1),11322(a,1,1))]. 11741 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(220,a,11322,a(flip),b,11739,a(flip))]. 11742 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(220,a,7729,a,b,11741,a),flip(a)]. 11743 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6657(a,1),11742(a,1,1,2))]. 11744 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(530(a,1),11743(a,1,1))]. 11745 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(173(a,1),11744(a,1,2)),flip(a)]. 11746 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(220,a,1076,a(flip),b,11745,a)]. 11747 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(45(a,2),11746(a,2,3))]. 11748 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11741,a(flip),b,11747,a(flip)),flip(a)]. 11749 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11736,a(flip),b,11748,a(flip)),flip(a)]. 11751 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(220,a,11307,a(flip),b,11749,a(flip))]. 11753 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(220,a,11626,a,b,11751,a(flip)),flip(a)]. 11754 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10433,a,11753,a)]. 11756 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11754(a,1),11624(a,1,2)),flip(a)]. 11757 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),11756(a,2,2,2))]. 11758 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10835(a,1),11757(a,2,2))]. 11759 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(220,a,11611,a(flip),b,11758,a(flip)),flip(a)]. 11760 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(378(a,1),11759(a,1,2,3))]. 11761 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(282,a,11760,a),flip(a)]. 11952 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),9182(a,1,2,1))]. 11953 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),11952(a,1,2,2,1,1))]. 11954 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(742(a,1),11953(a,1,2))]. 11955 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9216(a,1),11954(a,1,2))]. 11956 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(220,a,5043,a(flip),b,11955,a(flip))]. 11958 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3041(a,1),11956(a,2,1))]. 11959 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6047(a,1),11958(a,1,1))]. 11961 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),11959(a,1,2))]. 11963 L(x,K(y,z),K(u,y)) = x. [hyper(388,a,11961,a)]. 11965 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(72,a,11961,a(flip),b,4815,a)]. 11966 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2122(a,2),11961(a,1,1))]. 11967 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(10392(a,1),11961(a,1,1)),flip(a)]. 11970 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(11963(a,1),11244(a,2,1))]. 11971 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(5249,a,11967,a)]. 11975 a(x,y,x) * z = z * a(x,y,x). [hyper(20,a,10477,a,b,11971,a)]. 11982 T(x,a(y,z,y)) = x. [hyper(162,a,11975,a)]. 11983 T(a(x,y,x),z) = a(x,y,x). [hyper(160,a,11975,a,b,xx)]. 11992 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(11975(a,1),537(a,1,2,1))]. 11997 K(x,a(y,z,y)) = 1. [hyper(39,a,11982,a)]. 12006 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(11983(a,1),173(a,1,2,1)),flip(a)]. 12029 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(220,a,9624,a,b,11966,a)]. 12030 T(x,R(a(y,z,y),u,w)) = x. [hyper(162,a,12006,a)]. 12032 L(x,K(y,z),K(z,u)) = x. [hyper(388,a,12029,a)]. 12033 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(160,a,12029,a,b,17,a),flip(a)]. 12037 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(12029(a,1),11640(a,1,1,1))]. 12039 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(220,a,5838,a(flip),b,12032,a(flip)),flip(a)]. 12040 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7352(a,1),12032(a,1,2))]. 12042 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12040(a,1),103(a,1,2))]. 12090 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(220,a,9624,a(flip),b,12039,a)]. 12108 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(220,a,10660,a(flip),b,12033,a(flip)),flip(a)]. 12109 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5238(a,1),12033(a,1,2,2)),flip(a)]. 12115 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(220,a,10816,a(flip),b,12108,a(flip))]. 12124 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(11983(a,1),11992(a,2,1))]. 12126 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10449(a,1),12124(a,1,2,1))]. 12140 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(220,a,11615,a(flip),b,12126,a(flip))]. 12141 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(220,a,11761,a(flip),b,12140,a)]. 12142 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),12141(a,1,2)),flip(a)]. 12143 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12142(a,1),10804(a,1,2)),flip(a)]. 12144 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12142(a,1),10814(a,1,2)),flip(a)]. 12145 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(220,a,9479,a(flip),b,12143,a(flip))]. 12149 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(12039(a,1),12037(a,2,1))]. 12151 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(15(a,1),12149(a,2,1,2))]. 12152 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(9624(a,1),12151(a,1,1,1))]. 12153 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(220,a,7959,a,b,11970,a)]. 12157 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(220,a,10367,a(flip),b,12153,a(flip))]. 12160 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12157(a,2,2))]. 12161 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12157(a,1),8843(a,1,1))]. 12164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5356,a,12160,a)]. 12168 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(220,a,12160,a(flip),b,12164,a(flip))]. 12169 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(220,a,4824,a(flip),b,12168,a)]. 12170 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12168(a,1),4866(a,1))]. 12171 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12168(a,1),7329(a,1,2))]. 12176 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4909,a,12161,a),flip(a)]. 12189 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10268,a,11965,a)]. 12197 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10481(a,1),12145(a,1,2,1)),flip(a)]. 12198 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(220,a,12144,a,b,12197,a)]. 12200 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12198(a,1),11614(a,2,1,1))]. 12201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(220,a,11048,a(flip),b,12189,a(flip)),flip(a)]. 12202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7963(a,1),12201(a,1,1)),flip(a)]. 12203 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(220,a,12160,a(flip),b,12202,a)]. 12204 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12170,a,12203,a(flip)),flip(a)]. 12205 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12203(a,1,2,1))]. 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(220,a,12176,a,b,12204,a(flip)),flip(a)]. 12207 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2122(a,2),12204(a,1,1))]. 12208 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2122(a,1),12207(a,2,2))]. 12209 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4801,a(flip),b,12205,a)]. 12210 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12205(a,1),12169(a,1,1))]. 12212 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(220,a,12208,a(flip),b,12209,a(flip))]. 12213 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12209(a,1),4801(a,2,2)),flip(a)]. 12216 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(220,a,9636,a,b,12206,a(flip)),flip(a)]. 12217 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12206(a,2),4968(a,2,2)),flip(a)]. 12218 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8171(a,1),12206(a,1,1))]. 12222 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4817,a,12213,a)]. 12223 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11048(a,1),12222(a,1,1))]. 12224 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7873(a,1),12216(a,1,2,2,2))]. 12225 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8171(a,1),12218(a,1,2)),flip(a)]. 12226 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(220,a,12206,a(flip),b,12225,a)]. 12229 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7232(a,1),12226(a,1,1)),flip(a)]. 12230 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(220,a,12212,a(flip),b,12229,a(flip)),flip(a)]. 12232 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12230(a,1),11071(a,2,2))]. 12236 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5391,a,12224,a)]. 12284 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(220,a,11961,a(flip),b,12232,a)]. 12374 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12090(a,1),12217(a,2,1,1))]. 12378 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(220,a,12152,a(flip),b,12374,a)]. 12379 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12378(a,1,2,1,1))]. 12380 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12379(a,1,2,1))]. 12381 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7893(a,1),12380(a,1,2,1))]. 12383 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12381(a,1,2,2,1))]. 12384 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12383(a,1,2,2))]. 12386 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12236(a,1),12384(a,1,2))]. 12387 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(220,a,12090,a(flip),b,12386,a(flip)),flip(a)]. 12388 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(220,a,12284,a,b,12387,a(flip)),flip(a)]. 12389 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12223,a(flip),b,12388,a(flip)),flip(a)]. 12513 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12090(a,1),12171(a,1,2,1,1))]. 12514 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11048(a,1),12513(a,1,2,1))]. 12515 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7963(a,1),12514(a,1,2,1,1))]. 12516 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12164(a,1),12515(a,1,2,1))]. 12517 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12210(a,1),12516(a,1,2)),flip(a)]. 12518 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12222,a(flip),b,12517,a)]. 12519 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12090(a,1),12518(a,1,2))]. 12520 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12389,a(flip),b,12519,a(flip)),flip(a)]. 12521 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(220,a,12109,a(flip),b,12520,a(flip)),flip(a)]. 12522 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(220,a,10282,a(flip),b,12521,a(flip)),flip(a)]. 12523 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12522(a,1),12042(a,1,1)),flip(a)]. 12524 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(220,a,9861,a(flip),b,12523,a(flip))]. 12525 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12115(a,1),12524(a,1,1)),flip(a)]. 12527 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12525(a,1),12200(a,2,1))]. 12528 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12142(a,1),12527(a,2,1,1))]. 12530 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7071(a,1),12528(a,1,1,1))]. 12532 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10668(a,1),12530(a,1,1))]. 12533 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10442(a,1),12532(a,1,1)),flip(a)]. 12534 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12533,a(flip),b,598,a)]. 12536 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(220,a,11520,a(flip),b,12534,a(flip))]. 12537 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(11983(a,1),12536(a,2,2))]. 12538 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(220,a,11997,a(flip),b,12537,a)]. 12541 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,12538,a)]. 12542 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12541(a,1),11459(a,1,2))]. 12543 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12030(a,1),12542(a,1,1,2,1))]. 12544 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(430,a,12543,a),flip(a)]. 12545 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,11975,a(flip),b,12544,a)]. 12553 a(a(x,y,x),z,u) = 1. [para(12545(a,1),12538(a,1,1))]. 12554 $F # answer("aa1{x1/x3}"). [resolve(12553,a,50,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 2 at 3113.60 (+ 86.22) seconds: "aa3{x3/x5}". % Length of proof is 5566. % Level of proof is 377. % Maximum clause weight is 513.000 (53 w/o degradation). % Given clauses 11535 (30.597 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 13 a(x,y,a(z,u,z)) = 1 # label("aa3{x3/x5}") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 53 a(c13,c14,a(c15,c16,c15)) != 1 # label("aa3{x3/x5}") # answer("aa3{x3/x5}"). [deny(13)]. 54 1 \ x = x. [para(14(a,1),16(a,1,2))]. 55 x \ x = 1. [para(15(a,1),16(a,1,2))]. 56 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 57 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 58 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 59 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 60 x / x = 1. [para(14(a,1),18(a,1,1))]. 61 x / 1 = x. [para(15(a,1),18(a,1,1))]. 62 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 63 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 64 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 65 x * ((1 / y) * y) = x. [para(19(a,2),15(a,1,2))]. 66 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 67 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 68 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 71 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 72 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 73 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 76 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 78 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 79 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 80 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 81 ((x * y) / z) * z != x * u | u = y. [para(19(a,2),22(a,2)),flip(a)]. 82 1 * (x * y) != z * y | z = x. [para(14(a,2),23(a,2)),flip(a)]. 83 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 84 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 85 x \ (x * (y * z)) != u * z | u = y. [para(16(a,2),23(a,2)),flip(a)]. 86 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 87 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 88 ((x * y) / z) * z != u * y | u = x. [para(19(a,2),23(a,2)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * y) \ ((x * 1) * y) = a(x,1,y). [para(14(a,1),27(a,2,1,2)),flip(a)]. 93 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(15(a,1),27(a,2,1,2)),flip(a)]. 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 96 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 98 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 99 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 100 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 101 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 102 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(19(a,1),31(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 109 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 110 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 112 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 113 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 114 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 115 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 117 T(x,x) = x. [para(35(a,2),16(a,1))]. 118 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 119 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 120 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 122 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 124 (x * (x \ 1)) \ y = y. [para(17(a,2),54(a,1,1))]. 125 ((1 / x) * x) \ y = y. [para(19(a,2),54(a,1,1))]. 126 T(x,1) = x * 1. [para(54(a,1),35(a,2))]. 128 x / (y * (y \ 1)) = x. [para(17(a,2),61(a,1,2))]. 129 x / ((1 / y) * y) = x. [para(19(a,2),61(a,1,2))]. 130 T(T(x,y),x) = T(x,y). [para(117(a,1),41(a,1,1)),flip(a)]. 131 T(L(x,y,z),x) = L(x,y,z). [para(117(a,1),43(a,1,1)),flip(a)]. 134 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),63(a,1,2))]. 135 (x * y) / T(x,y) = y. [para(35(a,2),63(a,1,2))]. 136 x / (y / ((z \ x) \ y)) = z. [para(63(a,2),63(a,1,2))]. 137 ((x / y) \ x) * z = y * z. [hyper(25,a,66,a)]. 138 x * ((y / (x \ z)) \ y) = z. [para(66(a,2),17(a,1,2))]. 139 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),66(a,1,1))]. 140 ((x / (y / z)) \ x) \ y = z. [para(66(a,2),66(a,1,1))]. 141 T(x,1) = x. [hyper(21,a,15,a,b,126,a(flip)),flip(a)]. 142 K(x,1) = 1. [hyper(39,a,141,a)]. 143 T(1,x) = 1. [hyper(38,a,141,a)]. 146 T(x,1) != y | y = x. [para(126(a,2),83(a,1))]. 147 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),84(a,1,2))]. 148 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(57(a,1),33(a,2,1))]. 149 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(58(a,1),27(a,2,1)),flip(a)]. 150 L(x \ 1,x,y) = (y * x) \ y. [para(58(a,1),31(a,2,2))]. 151 R(1 / x,x,y) = y / (x * y). [para(64(a,1),33(a,2,1))]. 152 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(65(a,1),27(a,2,1)),flip(a)]. 153 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(65(a,1),31(a,2,2))]. 154 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,118,a)]. 155 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,118,a(flip)),flip(a)]. 156 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,118,a(flip)),flip(a)]. 157 (x \ y) * T(x,x \ y) = y. [para(118(a,2),17(a,1))]. 158 x * (y * (y \ T(z,x))) = z * x. [para(17(a,2),118(a,1,2))]. 159 x * T(y / x,x) = y. [para(118(a,2),19(a,1))]. 160 x * y != z | y * u != z | T(x,y) = u. [para(118(a,1),20(a,1)),flip(c)]. 161 x * y != z * x | T(z,x) = y. [para(118(a,1),22(a,1)),flip(a)]. 162 x * T(y,x) != z * x | z = y. [para(118(a,2),23(a,2)),flip(a)]. 163 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(118(a,1),27(a,2,1,2)),flip(a)]. 164 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(118(a,1),27(a,2,2,1)),flip(a)]. 165 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(118(a,1),29(a,2,1)),flip(a)]. 166 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(118(a,1),31(a,2,1)),flip(a)]. 167 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(118(a,1),31(a,2,2,2)),flip(a)]. 169 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(118(a,1),33(a,2,1)),flip(a)]. 170 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(118(a,1),33(a,2,2)),flip(a)]. 171 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),118(a,1,2))]. 172 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),118(a,1,2))]. 173 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),118(a,1,2))]. 174 x / 1 = 1 \ x. [hyper(146,a,120,a),flip(a)]. 175 T(T(x / y,z),y) = T(y \ x,z). [para(120(a,1),41(a,1,1)),flip(a)]. 176 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(120(a,1),43(a,1,1)),flip(a)]. 177 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(120(a,1),45(a,1,1)),flip(a)]. 178 T(x / (x / y),x / y) = y. [para(120(a,2),66(a,1))]. 179 K(x \ 1,x) = (x \ 1) * x. [para(124(a,1),29(a,2))]. 180 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(124(a,1),31(a,2)),flip(a)]. 182 K(x,1 / x) = x * (1 / x). [para(125(a,1),29(a,2))]. 183 (1 / x) * (x * y) = L(y,x,1 / x). [para(125(a,1),31(a,2)),flip(a)]. 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(128(a,1),33(a,2)),flip(a)]. 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(129(a,1),33(a,2)),flip(a)]. 186 T(x,T(x,y)) = x. [hyper(38,a,130,a)]. 187 T(T(T(x,y),z),x) = T(T(x,y),z). [para(130(a,1),41(a,1,1)),flip(a)]. 188 T(x,y) * x = x * T(x,y). [para(130(a,1),118(a,1,2)),flip(a)]. 189 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),41(a,1,1)),flip(a)]. 191 x / T(y,y \ x) = y \ x. [para(17(a,1),135(a,1,1))]. 192 (T(x,y) * z) / T(T(x,z),y) = z. [para(41(a,1),135(a,1,2))]. 193 (x * y) / T(y,T(x,y)) = T(x,y). [para(118(a,1),135(a,1,1))]. 194 T(T((x * y) / x,z),x) = T(y,z). [para(154(a,1),41(a,1,1)),flip(a)]. 195 T((x * y) / x,y) = (x * y) / x. [para(154(a,1),186(a,1,2))]. 196 x * y != z | T(z / x,x) = y. [para(159(a,1),22(a,1)),flip(a)]. 198 x != y | y / 1 = x. [para(15(a,1),87(a,1))]. 199 (x / y) \ x = y / 1. [hyper(198,a,66,a),flip(a)]. 200 x * (x \ y) = y / 1. [hyper(198,a,17,a),flip(a)]. 201 x / 1 = 1 * x. [hyper(198,a,14,a)]. 202 x / 1 != y | y = x. [para(201(a,2),73(a,1))]. 204 x / (y * (y \ 1)) != z | z = x. [para(17(a,2),202(a,1,2))]. 205 1 \ x != y | y = x. [para(174(a,1),202(a,1))]. 207 (x / y) \ x != z | z = y. [para(199(a,2),202(a,1))]. 208 x * (x \ y) != z | z = y. [para(200(a,2),202(a,1))]. 209 x \ (x * y) != z | z = y. [para(18(a,1),207(a,1,1))]. 210 x \ x != y | 1 = y. [para(61(a,1),207(a,1,1)),flip(b)]. 211 x \ (y * x) != z | T(y,x) = z. [para(135(a,1),207(a,1,1)),flip(b)]. 212 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),208(a,1,2)),flip(b)]. 213 x * T(y,x) != z | y * x = z. [para(35(a,2),208(a,1,2)),flip(b)]. 214 (x / y) * y != z | z = x. [para(66(a,1),208(a,1,2))]. 216 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),214(a,1,1)),flip(b)]. 217 L(x \ (y \ z),x,y) = (y * x) \ z. [para(59(a,1),31(a,2,2))]. 218 ((x / y) * y) / z = x / z. [para(19(a,1),68(a,1,1,1,1))]. 219 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),33(a,2,1))]. 220 x != y | z != y | z = x. [para(14(a,1),70(b,1))]. 221 (x * y) / y = z / (x \ z). [hyper(220,a,63,a,b,18,a)]. 223 (x * y) / y = (x / z) * z. [hyper(220,a,19,a,b,18,a)]. 224 x * (x \ y) = y * 1. [hyper(220,a,17,a,b,15,a),flip(a)]. 225 x \ (y * (y \ x)) = 1. [hyper(78,a,224,a(flip))]. 226 x * 1 != y * z | y \ x = z. [para(224(a,1),22(a,1))]. 229 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(220,a,17,a,b,89,a),flip(a)]. 230 (x / (y * (y \ z))) * z = x. [hyper(214,a,89,a)]. 232 (x * (x \ y)) * z != y * u | u = z. [para(91(a,1),22(a,1)),flip(a)]. 233 ((x \ y) * x) * K(x,x \ y) = y. [hyper(220,a,17,a(flip),b,98,a)]. 234 x * K(y \ x,y) = (y \ x) * y. [hyper(220,a,91,a(flip),b,98,a(flip)),flip(a)]. 235 x * K(y,x / y) = y * (x / y). [hyper(220,a,90,a(flip),b,98,a(flip)),flip(a)]. 236 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),22(a,1)),flip(a)]. 237 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),31(a,2,2,2)),flip(a)]. 238 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),33(a,2,1)),flip(a)]. 239 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),209(a,1,2)),flip(b)]. 240 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,119,a)]. 241 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,119,a)]. 242 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(220,a,17,a,b,119,a(flip))]. 243 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(119(a,1),41(a,1,1)),flip(a)]. 246 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(119(a,2),119(a,1,2))]. 248 T(x,L(x,y,z)) = x. [hyper(38,a,131,a)]. 250 ((x / y) \ x) * (y \ z) = z. [hyper(220,a,17,a(flip),b,137,a)]. 251 x * (((y / x) \ y) \ z) = z. [hyper(208,a,137,a)]. 252 (x / y) * ((z / y) \ z) = x. [para(66(a,1),138(a,1,2,1,2))]. 253 (x \ y) * z != y | T(x,x \ y) = z. [para(157(a,1),22(a,1)),flip(a)]. 254 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(157(a,1),31(a,2,2,2))]. 255 (x \ y) \ y != z | T(x,x \ y) = z. [para(157(a,1),209(a,1,2)),flip(b)]. 256 T(x / (x / y),(z / (x / y)) \ z) = y. [para(66(a,2),178(a,1,2))]. 257 x * T(x \ 1,x) = K(x \ 1,x). [hyper(220,a,118,a,b,179,a),flip(a)]. 258 K(x \ 1,x) / x = x \ 1. [hyper(87,a,179,a(flip))]. 259 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,179,a(flip))]. 263 x \ K(x,1 / x) = 1 / x. [hyper(78,a,182,a(flip))]. 264 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(182(a,2),31(a,2,1)),flip(a)]. 266 x / (y \ ((x / z) * z)) = y. [hyper(220,a,63,a(flip),b,218,a(flip))]. 267 (((x / y) * y) / z) \ x = z. [para(218(a,2),66(a,1,1))]. 269 (x / (y \ x)) * z != u | y * z = u. [para(221(a,1),214(a,1,1)),flip(b)]. 270 (x * y) / y != z * u | x / u = z. [para(223(a,2),23(a,1))]. 271 ((x / y) * y) * z != u | x * z = u. [para(223(a,1),214(a,1,1)),flip(b)]. 272 (x * y) / y != z | z = x. [para(223(a,2),214(a,1))]. 273 x / x != y | 1 = y. [para(14(a,1),272(a,1,1)),flip(b)]. 274 x / (y \ x) != z | z = y. [para(17(a,1),272(a,1,1))]. 275 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),230(a,1,1))]. 276 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(191(a,1),250(a,1,1,1))]. 277 x * ((y / z) \ y) != u | u / z = x. [para(252(a,1),23(a,1)),flip(a)]. 279 (x \ 1) * x != y | K(x \ 1,x) = y. [para(258(a,1),214(a,1,1)),flip(b)]. 281 ((x * (x \ y)) / z) \ y = z. [para(63(a,1),267(a,1,1,1,1))]. 282 x * y != x * z | z = y. [para(15(a,1),76(a,1))]. 283 1 * x != y * z | x / z = y. [para(19(a,1),82(a,1,2)),flip(b)]. 284 R(1,x,y) = 1. [hyper(273,a,109,a),flip(a)]. 287 (x * y) / y = R(x,1,y). [para(15(a,1),110(a,1,1,1))]. 288 R(x,1,y) = x. [hyper(272,a,287,a)]. 294 L(x \ 1,x,1 / x) = 1 / x. [hyper(220,a,125,a(flip),b,150,a)]. 295 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(25,a,150,a)]. 296 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(24,a,150,a)]. 297 (x * y) * L(y \ 1,y,x) = x. [para(150(a,2),17(a,1,2))]. 298 L((x \ y) \ 1,x \ y,x) = y \ x. [para(17(a,1),150(a,2,1))]. 299 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),150(a,2,1))]. 300 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(150(a,1),43(a,2,1)),flip(a)]. 301 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(150(a,1),48(a,1,1)),flip(a)]. 302 x / L(y \ 1,y,x) = x * y. [para(150(a,2),63(a,1,2))]. 303 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),151(a,2,2))]. 304 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),151(a,2,2))]. 305 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(151(a,1),45(a,2,1)),flip(a)]. 306 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(151(a,1),49(a,1,1)),flip(a)]. 307 R(1 / x,x,y) \ y = x * y. [para(151(a,2),66(a,1,1))]. 312 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(41(a,1),162(a,1,2)),flip(b)]. 314 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),213(a,1,2))]. 315 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),213(a,1,2))]. 316 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),213(a,1,2))]. 317 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),226(a,1,2))]. 318 x * (x \ y) != z * u | z \ y = u. [para(224(a,2),226(a,1))]. 320 ((1 / x) * x) * y != z * u | y / u = z. [para(19(a,2),283(a,1,1))]. 321 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(297(a,1),31(a,2,2,2))]. 322 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(297(a,1),209(a,1,2)),flip(b)]. 323 x / L(y,1 / y,x) = x * (1 / y). [para(66(a,1),302(a,1,2,1))]. 325 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(302(a,1),251(a,1,2,1,1))]. 326 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(63(a,1),307(a,1,1,1))]. 327 x / (y * x) != z | R(1 / y,y,x) = z. [para(307(a,1),274(a,1,2)),flip(b)]. 328 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,119,a,b,17,a)]. 330 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,31,a,b,125,a(flip))]. 331 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,31,a,b,124,a(flip))]. 333 (x * (x \ y)) \ z = y \ z. [hyper(71,a,17,a(flip),b,91,a)]. 334 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,33,a,b,128,a(flip))]. 335 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(16(a,1),99(a,2,1)),flip(a)]. 337 x * K(y \ x,y) != z | (y \ x) * y = z. [para(99(a,1),208(a,1,2)),flip(b)]. 339 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(179(a,2),100(a,1,1))]. 340 K(x,1 / x) != y | x * (1 / x) = y. [para(101(a,1),205(a,1)),flip(b)]. 341 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(158(a,1),31(a,2,2))]. 342 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),171(a,1,2,1))]. 344 T(x / y,z) * y = y * T(y \ x,z). [para(120(a,1),171(a,1,2,1)),flip(a)]. 345 T((x * y) / x,z) * x = x * T(y,z). [para(154(a,1),171(a,1,2,1)),flip(a)]. 346 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(119(a,1),171(a,1,2,1))]. 347 T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z). [para(119(a,1),171(a,1,2)),flip(a)]. 349 (x * T(x \ y,z)) / x = T(y / x,z). [para(175(a,1),155(a,1,1,2))]. 351 T(x,T(T(x,y),z)) = x. [hyper(38,a,187,a)]. 353 T((x * y) / x,T(y,z)) = (x * y) / x. [para(154(a,1),351(a,1,2,1))]. 354 (x * T(y,z)) / x = T((x * y) / x,z). [para(194(a,1),155(a,1,1,2))]. 356 T(x,(y * x) / y) = x. [hyper(38,a,195,a)]. 357 K(x \ 1,x) * K(x,x \ 1) = 1. [para(179(a,2),233(a,1,1))]. 358 (x \ y) * x != y * z | K(x \ y,x) = z. [para(234(a,1),22(a,1))]. 359 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(234(a,1),209(a,1,2)),flip(b)]. 361 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(235(a,1),209(a,1,2)),flip(b)]. 364 1 / K(x,x \ 1) = K(x \ 1,x). [para(339(a,1),63(a,1,2))]. 368 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),79(a,1,2)),flip(b)]. 371 (x / y) * y != z * u | z \ x = u. [para(17(a,1),81(a,1,1,1)),flip(b)]. 372 x \ (x * y) != z * u | y / u = z. [para(19(a,1),85(a,1,2,2)),flip(b)]. 373 (x / y) * y != z * u | x / u = z. [para(19(a,1),88(a,1,1,1)),flip(b)]. 374 R(x,y,z) * (y * z) != u * z | x * y = u. [para(33(a,2),88(a,1,1)),flip(b)]. 375 (x * y) \ (x * y) = a(x,1,y). [para(15(a,1),92(a,1,2,1))]. 376 a(x,1,y) = 1. [hyper(210,a,375,a),flip(a)]. 378 L(x,1,y) = x. [hyper(36,a,376,a)]. 379 a(x,y,1) = 1. [hyper(209,a,93,a)]. 381 L(1,x,y) = 1. [hyper(36,a,379,a)]. 382 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,89,a(flip),b,103,a)]. 383 L(x \ T(y * x,y),x,y) = y. [hyper(20,a,158,a(flip),b,103,a)]. 384 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(220,a,91,a(flip),b,103,a(flip)),flip(a)]. 385 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(220,a,90,a(flip),b,103,a(flip)),flip(a)]. 387 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(71,a,103,a(flip),b,118,a)]. 388 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),22(a,1)),flip(a)]. 389 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),31(a,2,1)),flip(a)]. 390 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),31(a,2,2,2)),flip(a)]. 392 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),103(a,1,2))]. 393 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),103(a,1,2))]. 394 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),103(a,1,2))]. 395 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(118(a,1),103(a,1,1))]. 396 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),209(a,1,2)),flip(b)]. 397 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(103(a,1),98(a,1,1))]. 398 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(179(a,2),103(a,1,1))]. 400 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(220,a,333,a(flip),b,105,a)]. 401 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(220,a,125,a(flip),b,105,a)]. 402 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(220,a,124,a(flip),b,105,a)]. 403 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(220,a,101,a(flip),b,105,a)]. 404 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),105(a,2,1))]. 407 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),43(a,2,1)),flip(a)]. 408 R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x). [para(105(a,1),47(a,1,1))]. 409 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(118(a,1),105(a,2,1))]. 411 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 414 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,91,a(flip),b,114,a)]. 417 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),114(a,1,2))]. 418 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(114(a,1),23(a,1))]. 421 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(114(a,1),33(a,2,1,1)),flip(a)]. 423 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),114(a,1,1))]. 424 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),114(a,1,1))]. 425 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),114(a,1,1))]. 426 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(118(a,1),114(a,1,2))]. 427 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),114(a,1,2))]. 428 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(179(a,2),114(a,1,2))]. 429 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(114(a,1),272(a,1,1)),flip(b)]. 430 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(114(a,2),272(a,1,1)),flip(b)]. 431 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(114(a,1),147(a,1))]. 433 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(114(a,1),103(a,1,1))]. 434 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(114(a,1),114(a,1,2))]. 435 R(x / (1 / y),1 / y,y) = x * y. [hyper(220,a,129,a(flip),b,115,a)]. 436 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(220,a,128,a(flip),b,115,a)]. 437 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),115(a,2,1))]. 438 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(17(a,1),115(a,2,2))]. 439 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),115(a,2,2))]. 440 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(115(a,1),45(a,2,1)),flip(a)]. 441 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(115(a,2),120(a,1,1))]. 442 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(188(a,1),115(a,2,2))]. 443 R(x / y,y,x \ z) \ z = y * (x \ z). [para(115(a,2),281(a,1,1))]. 445 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(114(a,1),115(a,2,1))]. 446 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(114(a,1),115(a,2,2))]. 448 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),134(a,1,1,2))]. 449 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(118(a,1),134(a,1,1,2))]. 451 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(118(a,1),139(a,1,2,1))]. 452 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),139(a,1,2,1))]. 455 K(x,1 / x) \ x = L(x,1 / x,x). [para(182(a,2),153(a,2,1)),flip(a)]. 456 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,48,a,b,180,a)]. 457 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,43,a(flip),b,180,a)]. 459 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(118(a,1),180(a,1,2)),flip(a)]. 460 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,48,a,b,183,a)]. 461 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(118(a,1),183(a,1,2)),flip(a)]. 462 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(183(a,1),209(a,1,2)),flip(b)]. 463 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,45,a(flip),b,184,a)]. 464 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(71,a,184,a(flip),b,118,a)]. 469 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,49,a,b,185,a)]. 470 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,47,a(flip),b,185,a)]. 471 K(x,1 / x) * x = R(x,1 / x,x). [para(182(a,2),185(a,1,1))]. 472 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(217(a,1),43(a,2,1))]. 474 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(103(a,1),232(a,1)),flip(b)]. 476 x * 1 != y * z | x / z = y. [para(61(a,1),270(a,1))]. 478 x * (x \ y) != z * u | y / u = z. [para(224(a,2),476(a,1))]. 479 (x * (x \ y)) * z != u | y * z = u. [para(63(a,1),271(a,1,1,1))]. 480 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(298(a,1),248(a,1,2))]. 481 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(299(a,1),43(a,2,1)),flip(a)]. 482 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(303(a,1),45(a,2,1)),flip(a)]. 484 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(303(a,2),115(a,1,1))]. 485 x * y != z * u | z \ (x * y) = u. [para(16(a,1),318(a,1,2))]. 486 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),318(a,1,2))]. 492 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(330(a,1),208(a,1,2)),flip(b)]. 493 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(331(a,1),208(a,1,2)),flip(b)]. 496 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(223(a,1),371(a,1,1))]. 497 (x * y) / y != z * u | z \ x = u. [para(223(a,2),371(a,1))]. 500 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(297(a,1),372(a,1,2))]. 506 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(223(a,1),373(a,1,1))]. 508 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(220,a,179,a,b,382,a)]. 509 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(401(a,1),43(a,2,1))]. 510 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(402(a,1),43(a,2,1))]. 511 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(402(a,1),47(a,1,1)),flip(a)]. 513 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(435(a,1),45(a,2,1))]. 516 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 517 K(x,1 / x) * L(x,1 / x,x) = x. [para(455(a,1),17(a,1,2))]. 520 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(89(a,2),485(a,1))]. 522 (x * T(y,x)) / x != z * u | z \ y = u. [para(118(a,2),497(a,1,1))]. 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(517(a,1),22(a,1)),flip(a)]. 524 T(x / y,(z / y) \ z) = y \ x. [hyper(160,a,252,a,b,250,a)]. 525 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(160,a,103,a(flip),b,90,a(flip))]. 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(220,a,103,a(flip),b,172,a(flip)),flip(a)]. 528 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(172(a,1),27(a,2,1,2)),flip(a)]. 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),172(a,1,2,1))]. 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),172(a,1,2,1))]. 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(120(a,1),172(a,1,2,1)),flip(a)]. 533 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(154(a,1),172(a,1,2,1)),flip(a)]. 534 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(119(a,1),172(a,1,2,1))]. 536 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(220,a,114,a(flip),b,173,a)]. 537 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,114,a(flip),b,173,a)]. 538 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(173(a,1),22(a,1))]. 541 R(x,y,z) * x = x * R(x,y,z). [para(117(a,1),173(a,1,2,1)),flip(a)]. 542 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(120(a,1),173(a,1,2,1)),flip(a)]. 543 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(130(a,1),173(a,1,2,1)),flip(a)]. 544 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(154(a,1),173(a,1,2,1)),flip(a)]. 545 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(119(a,1),173(a,1,2,1))]. 546 T(x,R(x,y,z)) = x. [hyper(161,a,541,a)]. 547 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(176(a,1),155(a,1,1,2))]. 548 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(177(a,1),155(a,1,1,2))]. 549 T(x / (y * x),y) = R(y \ 1,y,x). [para(151(a,1),177(a,1,1))]. 550 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(115(a,1),177(a,1,1))]. 551 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(219(a,1),177(a,1,1)),flip(a)]. 553 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(436(a,1),177(a,1,1)),flip(a)]. 554 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(549(a,1),118(a,1,2)),flip(a)]. 555 x * (y * (y \ z)) != u | x * z = u. [para(229(a,1),208(a,1)),flip(b)]. 556 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(229(a,1),478(a,1))]. 557 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(180(a,1),555(a,1))]. 559 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(318,a,240,a),flip(a)]. 560 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(160,a,240,a,b,118,a)]. 561 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(79,a,240,a)]. 564 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(240(a,2),29(a,2,1)),flip(a)]. 565 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(240(a,2),31(a,2,1)),flip(a)]. 567 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(373,a,241,a),flip(a)]. 568 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,241,a,b,xx)]. 573 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(242(a,2),555(a,1,2))]. 574 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),322(a,1,1))]. 576 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(118(a,1),327(a,1,2))]. 577 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(182(a,2),327(a,1,2))]. 578 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(328(a,2),191(a,1,2,2))]. 579 K(x \ (x * y),x) = K(y,x). [hyper(220,a,99,a(flip),b,335,a),flip(a)]. 580 K(x \ (x * y),z) = K(y,z). [para(56(a,1),579(a,1,1)),flip(a)]. 581 K((x / y) \ x,z) = K(y,z). [para(19(a,1),580(a,1,1,2))]. 583 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(344(a,1),272(a,1,1)),flip(b)]. 584 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(220,a,240,a(flip),b,345,a(flip)),flip(a)]. 585 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(345(a,1),272(a,1,1)),flip(b)]. 586 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(66(a,1),349(a,1,1,2,1))]. 587 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(349(a,1),214(a,1,1)),flip(b)]. 588 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(120(a,1),354(a,1,1,2)),flip(a)]. 589 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(354(a,1),214(a,1,1)),flip(b)]. 590 K((x \ y) \ 1,y \ x) = 1. [hyper(39,a,480,a)]. 591 K(((x * y) \ x) \ 1,y) = 1. [para(16(a,1),590(a,1,2))]. 592 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(561(a,1),208(a,1,2)),flip(b)]. 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,91,a(flip),b,94,a)]. 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(17(a,1),94(a,1,1,2))]. 595 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(19(a,1),94(a,1,1,2))]. 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),209(a,1,2)),flip(b)]. 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(114(a,1),94(a,1,1))]. 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(118(a,1),104(a,1,2,2)),flip(a)]. 602 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),205(a,1)),flip(b)]. 606 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(112(a,2),267(a,1,1))]. 608 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(184(a,1),149(a,1,2))]. 609 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),152(a,1,2))]. 610 L(T(x,y),y,x) = T(x,x * y). [hyper(211,a,167,a),flip(a)]. 612 T(L(x,y,x),y) = T(x,x * y). [hyper(220,a,43,a(flip),b,610,a(flip)),flip(a)]. 613 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(610(a,1),47(a,1,1)),flip(a)]. 614 x * T(y,y * x) = L(y,x,y) * x. [para(610(a,1),172(a,1,2))]. 615 (x * T(y,y * x)) / x = L(y,x,y). [para(612(a,1),155(a,1,1,2))]. 617 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,345,a,b,614,a(flip)),flip(a)]. 618 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(17(a,1),614(a,1,2,2)),flip(a)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),617(a,1,2))]. 624 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(47(a,1),275(a,1,1))]. 626 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(71,a,118,a(flip),b,295,a)]. 627 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(295(a,2),78(a,1))]. 628 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(300(a,2),103(a,1,2))]. 629 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(119(a,1),312(a,1,2))]. 631 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),314(a,1,2,1))]. 633 K(x,y) = L(x \ T(x,y),x,y). [hyper(220,a,29,a,b,341,a),flip(a)]. 634 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(341(a,1),43(a,2,1))]. 636 (x / y) \ (L(y \ 1,y,x / y) * x) != z | K(x \ (x / y),x) = z. [para(299(a,2),359(a,1,2,1))]. 637 (x \ y) \ (y * R(1 / x,x,x \ y)) != z | K(y,(x \ y) / y) = z. [para(303(a,2),361(a,1,2,2))]. 638 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(220,a,172,a(flip),b,384,a(flip))]. 639 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,172,a(flip),b,384,a(flip))]. 640 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),384(a,1,2))]. 641 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(384(a,1),209(a,1,2)),flip(b)]. 642 L(x \ y,x,y / x) = T(y / x,y). [hyper(160,a,89,a(flip),b,385,a),flip(a)]. 644 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,172,a(flip),b,385,a(flip))]. 647 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(400(a,1),43(a,2,1))]. 648 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(400(a,1),47(a,1,1)),flip(a)]. 649 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(404(a,2),211(a,1))]. 650 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(414(a,1),274(a,1,2)),flip(b)]. 651 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(439(a,1),45(a,2,1))]. 652 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 653 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(439(a,1),177(a,1,1)),flip(a)]. 654 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(449(a,1),207(a,1,1)),flip(b)]. 656 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),550(a,2,1)),flip(a)]. 657 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(550(a,1),175(a,1,1))]. 658 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(551(a,1),114(a,1,1))]. 659 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(16(a,1),553(a,1,1)),flip(a)]. 660 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(19(a,1),554(a,1,1,2)),flip(a)]. 662 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(656(a,2),118(a,1,2)),flip(a)]. 664 T(R(x,y,x),y * x) = T(x,y). [para(656(a,2),194(a,1,1))]. 665 R(T(x,y * x),y,x) = T(x,y). [hyper(220,a,45,a,b,664,a(flip)),flip(a)]. 667 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(664(a,1),173(a,1,2,1)),flip(a)]. 668 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),665(a,1,1,2))]. 669 R(x,1 / x,x) = T(x,1 / x). [para(141(a,1),668(a,1,1))]. 670 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(669(a,1),49(a,1,1)),flip(a)]. 671 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(659(a,1),155(a,1,1,2))]. 672 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(220,a,45,a,b,122,a),flip(a)]. 674 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),212(a,1,2))]. 679 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),388(a,1,1)),flip(a)]. 681 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(118(a,1),396(a,1,1))]. 682 (x * y) \ (x * ((z \ y) * z)) != u | L(K(z \ y,z),y,x) = u. [para(234(a,1),396(a,1,2,2))]. 683 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),396(a,1,2,2))]. 688 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(69(a,1),429(a,1,1))]. 691 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(118(a,1),492(a,1,2))]. 692 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(179(a,2),493(a,1,2))]. 694 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(298(a,1),531(a,2,2))]. 695 L(R(x / y,y,y \ z),u,w) * z = z * L(z \ (x * (y \ z)),u,w). [para(438(a,2),531(a,1,1,1))]. 697 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,533,a),flip(a)]. 698 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,103,a(flip),b,533,a),flip(a)]. 701 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(542(a,1),184(a,1,1))]. 702 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(238(a,1),542(a,1,1,1)),flip(a)]. 703 T(x,R(T(x,y),z,u)) = x. [hyper(161,a,543,a)]. 704 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(216,a,544,a)]. 705 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,544,a),flip(a)]. 708 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,544,a(flip),b,275,a(flip))]. 713 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(217(a,1),547(a,1,1,2)),flip(a)]. 714 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(298(a,1),547(a,1,1,2))]. 716 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(633(a,2),547(a,1,1,2)),flip(a)]. 718 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(66(a,1),548(a,1,1,2,1))]. 719 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(548(a,1),214(a,1,1)),flip(b)]. 720 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(588(a,1),118(a,1,2)),flip(a)]. 721 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(588(a,1),155(a,1,1,2))]. 723 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(120(a,1),672(a,1,1,1)),flip(a)]. 724 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),697(a,2,1,2))]. 725 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(217(a,1),697(a,2,1,2))]. 726 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(299(a,1),697(a,2,1,2))]. 727 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(400(a,1),697(a,2,1,2))]. 729 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(151(a,1),705(a,2,1,2))]. 730 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(219(a,1),705(a,2,1,2))]. 732 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(435(a,1),705(a,2,1,2))]. 733 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(436(a,1),705(a,2,1,2))]. 734 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(705(a,1),216(a,1,1))]. 736 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(220,a,354,a(flip),b,170,a(flip)),flip(a)]. 737 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(220,a,105,a(flip),b,301,a)]. 738 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(294(a,1),301(a,1,1)),flip(a)]. 739 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(301(a,1),103(a,1,2))]. 740 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(17(a,1),738(a,1,1,1))]. 741 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),392(a,1,2,1))]. 742 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(217(a,1),392(a,1,2,1))]. 743 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(610(a,1),392(a,1,2,1))]. 745 (x * y) * L(R(T(x,y) \ z,u,w),T(x,y),y) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(542(a,2),395(a,2,2))]. 746 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(118(a,1),407(a,1,1,1)),flip(a)]. 747 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(407(a,2),212(a,1,2))]. 748 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(409(a,1),47(a,1,1)),flip(a)]. 749 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(409(a,1),48(a,1,1)),flip(a)]. 750 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(115(a,1),423(a,1,1,1))]. 751 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(20,a,173,a,b,426,a(flip)),flip(a)]. 752 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(751(a,1),426(a,1,1)),flip(a)]. 753 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(220,a,120,a(flip),b,440,a(flip))]. 754 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(118(a,1),451(a,1,2))]. 755 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(402(a,1),457(a,1,2,1)),flip(a)]. 756 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(220,a,344,a(flip),b,463,a)]. 757 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(472(a,1),212(a,1,2))]. 758 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(481(a,2),385(a,1,2)),flip(a)]. 759 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(482(a,2),275(a,1,1))]. 760 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(602,a,509,a)]. 761 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(220,a,461,a(flip),b,509,a(flip)),flip(a)]. 762 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,509,a(flip),b,183,a)]. 764 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(220,a,459,a(flip),b,510,a(flip)),flip(a)]. 765 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(71,a,510,a(flip),b,459,a(flip))]. 766 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(72,a,513,a(flip),b,185,a),flip(a)]. 769 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(525(a,1),345(a,1,1))]. 770 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(220,a,295,a(flip),b,526,a),flip(a)]. 772 R(T(x,(x \ y) * z),x \ y,z) = ((x \ y) * z) \ (y * z). [hyper(71,a,91,a(flip),b,536,a),flip(a)]. 773 (x * y) * T(y,x) = (y * x) * y. [para(665(a,1),536(a,1,2))]. 774 (x * (y / x)) * x = y * T(x,y / x). [hyper(271,a,773,a),flip(a)]. 775 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(71,a,57,a(flip),b,773,a)]. 777 K(x \ 1,x) \ x = T(x,x \ 1). [para(179(a,2),775(a,1,1))]. 778 K(x \ 1,x) * T(x,x \ 1) = x. [para(777(a,1),17(a,1,2))]. 779 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(220,a,241,a(flip),b,778,a(flip)),flip(a)]. 781 R(x,y \ 1,(y \ 1) \ 1) != z | (x * (y \ 1)) * T(y,y \ 1) = z. [para(184(a,1),573(a,1))]. 782 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(63(a,1),587(a,1,1,1))]. 783 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(155(a,1),589(a,1,1,1))]. 784 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(118(a,1),593(a,1,1))]. 786 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [hyper(71,a,774,a(flip),b,595,a)]. 788 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(220,a,353,a(flip),b,621,a(flip)),flip(a)]. 792 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(298(a,1),639(a,1,2,1)),flip(a)]. 793 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(400(a,1),639(a,1,2,1)),flip(a)]. 795 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(19(a,1),713(a,2,1,2,1))]. 796 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(165(a,1),713(a,2,1,2))]. 797 (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). [para(17(a,1),753(a,1,1,2)),flip(a)]. 798 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(769(a,1),23(a,1))]. 800 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(220,a,334,a,b,720,a(flip)),flip(a)]. 801 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(63(a,1),720(a,1,1,1,2)),flip(a)]. 802 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(115(a,2),720(a,1,1,1,2))]. 804 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(721(a,1),214(a,1,1)),flip(b)]. 805 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(115(a,1),723(a,1,1,1))]. 806 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(441(a,1),723(a,1,1)),flip(a)]. 807 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(160,a,752,a,b,xx)]. 810 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),755(a,2,2,1))]. 811 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),755(a,2,2,1))]. 812 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(220,a,346,a(flip),b,810,a(flip)),flip(a)]. 813 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(812(a,1),166(a,1,2,2))]. 814 T((1 / x) * y,z) != (1 / x) * u | x * T(x \ y,z) = u. [para(760(a,1),22(a,1))]. 815 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),762(a,1,2,1))]. 816 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),762(a,1,2,1)),flip(a)]. 818 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),765(a,1,2,1)),flip(a)]. 819 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(19(a,1),765(a,1,2,1))]. 820 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(589,a,766,a),flip(a)]. 821 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(587,a,766,a)]. 822 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,766,a(flip),b,344,a(flip))]. 823 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(120(a,1),766(a,1,1)),flip(a)]. 824 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(766(a,1),587(a,1))]. 825 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(220,a,335,a,b,792,a),flip(a)]. 826 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,335,a,b,792,a),flip(a)]. 828 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(78,a,811,a)]. 829 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,811,a(flip),b,344,a)]. 831 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(213,a,816,a)]. 832 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(820(a,1),19(a,1,1)),flip(a)]. 833 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(57(a,1),820(a,1,1,1)),flip(a)]. 834 (1 / x) * T(x,y) = T(x,y) / x. [para(64(a,1),820(a,1,1,1)),flip(a)]. 835 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(269,a,834,a),flip(a)]. 836 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(160,a,834,a,b,17,a),flip(a)]. 837 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,834,a)]. 838 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(78,a,834,a)]. 839 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(220,a,241,a(flip),b,834,a(flip))]. 841 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(834(a,1),269(a,1))]. 842 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(834(a,1),617(a,1,2))]. 843 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(220,a,344,a,b,835,a)]. 844 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(574,a,836,a)]. 845 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(119(a,1),839(a,1,1)),flip(a)]. 846 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(19(a,1),821(a,2,1,1))]. 847 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(19(a,1),822(a,1,2,1,1))]. 849 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),823(a,1,1,1)),flip(a)]. 851 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(150(a,2),826(a,1,1,1))]. 853 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z * u | K(y,x) / u = z. [para(826(a,2),478(a,1,2))]. 854 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(828(a,1),208(a,1,2)),flip(b)]. 856 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(832(a,2),23(a,1))]. 859 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(834(a,1),264(a,1,2,2))]. 860 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(150(a,1),393(a,1,2,1))]. 861 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),393(a,1,2,1))]. 862 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(217(a,1),393(a,1,2,1))]. 863 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),394(a,1,2,1))]. 864 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(217(a,1),394(a,1,2,1))]. 865 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,398,a)]. 867 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(408(a,2),212(a,1,2))]. 871 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(812(a,1),452(a,1,1,1))]. 872 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(456(a,2),22(a,1))]. 873 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(402(a,1),456(a,1,2,1)),flip(a)]. 874 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(294(a,1),460(a,1,2,1))]. 876 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(469(a,2),23(a,1))]. 877 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(435(a,1),469(a,1,1,1)),flip(a)]. 879 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(669(a,1),470(a,1,1,1))]. 880 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(508(a,1),80(a,1,1)),flip(b)]. 881 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,511,a(flip),b,180,a),flip(a)]. 882 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(647(a,1),384(a,1,2)),flip(a)]. 883 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(651(a,1),417(a,1,1)),flip(a)]. 884 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(303(a,1),708(a,1,1,2))]. 886 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),806(a,1,1,1)),flip(a)]. 887 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(851(a,2),325(a,1,2)),flip(a)]. 889 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,173,a,b,545,a),flip(a)]. 890 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(71,a,889,a,b,17,a)]. 891 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,889,a(flip),b,276,a),flip(a)]. 893 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(587,a,658,a)]. 894 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(314,a,743,a),flip(a)]. 895 T(x,y) * (x * z) = x * (T(x,y) * z). [para(171(a,1),894(a,1,2)),flip(a)]. 896 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(555,a,895,a),flip(a)]. 897 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(520,a,895,a)]. 898 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(486,a,895,a),flip(a)]. 899 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(220,a,89,a(flip),b,895,a)]. 900 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(160,a,895,a,b,229,a)]. 905 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,58,a(flip),b,895,a),flip(a)]. 906 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(19(a,1),895(a,1,2)),flip(a)]. 907 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(118(a,1),895(a,1,2)),flip(a)]. 908 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),895(a,1,1)),flip(a)]. 911 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(196,a,905,a)]. 912 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(160,a,905,a,b,17,a),flip(a)]. 913 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,905,a)]. 914 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(78,a,905,a)]. 915 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(905(a,1),209(a,1,2)),flip(b)]. 917 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(905(a,1),183(a,1,2)),flip(a)]. 918 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(913(a,1),829(a,2,1))]. 919 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(914(a,1),761(a,1,2,1)),flip(a)]. 920 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(896(a,1),22(a,1))]. 921 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,898,a)]. 922 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(160,a,118,a,b,899,a),flip(a)]. 923 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,384,a,b,899,a)]. 924 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,235,a,b,899,a)]. 925 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(120(a,1),922(a,1,2,1))]. 926 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(921(a,1),208(a,1,2)),flip(b)]. 927 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(921(a,2),208(a,1,2)),flip(b)]. 928 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(921(a,1),478(a,1,2))]. 929 x * (T(x,y) \ (x \ z)) != u * w | (T(x,y) \ z) / w = u. [para(921(a,2),478(a,1,2))]. 930 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,384,a,b,907,a)]. 931 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(918(a,1),19(a,1,1))]. 932 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(120(a,1),925(a,2,2))]. 933 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),932(a,1,2,1))]. 935 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),933(a,2,2)),flip(a)]. 936 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,935,a,b,xx)]. 939 T(x,x / y) / y = (x * (x / y)) / x. [hyper(277,a,935,a(flip))]. 940 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),935(a,2,1,1)),flip(a)]. 941 ((x * (x / y)) / x) * y = T(x,x / y). [para(66(a,1),935(a,2,2)),flip(a)]. 944 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(326(a,1),935(a,2,2)),flip(a)]. 945 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),936(a,1,2)),flip(a)]. 947 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(939(a,1),214(a,1,1)),flip(b)]. 948 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(220,a,720,a(flip),b,941,a(flip)),flip(a)]. 949 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(71,a,941,a(flip),b,720,a(flip))]. 950 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(66(a,1),948(a,1,2,1,2))]. 951 T(x \ T(y,y / x),y) = x \ y. [para(949(a,2),154(a,1,1))]. 952 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(949(a,1),318(a,1,2))]. 953 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(63(a,1),951(a,1,1,2,2))]. 954 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,154,a(flip),b,940,a),flip(a)]. 955 T(T(x * y,x) / y,x * y) = x. [para(945(a,1),154(a,1,1))]. 956 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(945(a,1),736(a,1,1))]. 957 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(184(a,1),955(a,1,1,1,1))]. 958 ((x * y) * x) / (x * y) != z * u | z \ (T(x * y,x) / y) = u. [para(955(a,1),522(a,1,1,2))]. 960 x * R(y,x,T(y,x)) = T(y * x,y). [para(956(a,1),159(a,1,2))]. 962 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(155(a,1),950(a,1,2)),flip(a)]. 964 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(55(a,1),926(a,1,2,2))]. 965 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(346(a,2),964(a,1))]. 966 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(16(a,1),927(a,1,2,2))]. 968 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(344(a,1),906(a,1,2))]. 969 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(836(a,1),924(a,1,2))]. 971 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(968(a,2),22(a,2))]. 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(257(a,1),758(a,1,2))]. 974 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(587,a,759,a),flip(a)]. 975 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(358,a,770,a)]. 976 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(72,a,975,a,b,344,a)]. 977 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),873(a,2,2,1))]. 979 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(220,a,534,a(flip),b,977,a(flip)),flip(a)]. 980 ((x \ y) \ 1) \ L((x \ y) \ 1,x \ y,x) = (y \ x) * (((x \ y) \ 1) \ 1). [para(298(a,1),979(a,1,1)),flip(a)]. 981 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(979(a,1),554(a,1,1,2)),flip(a)]. 983 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(719,a,877,a)]. 984 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(877(a,1),23(a,1))]. 985 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),881(a,2,2,1))]. 987 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(220,a,545,a(flip),b,985,a(flip)),flip(a)]. 988 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,985,a(flip),b,545,a(flip))]. 989 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(72,a,987,a(flip),b,173,a)]. 990 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(66(a,1),987(a,1,2)),flip(a)]. 991 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(987(a,1),98(a,1,1))]. 992 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(987(a,1),554(a,1,1,2)),flip(a)]. 993 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),588(a,2,1))]. 995 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(220,a,542,a(flip),b,990,a)]. 997 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(220,a,608,a(flip),b,995,a(flip))]. 998 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(995(a,1),17(a,1,2))]. 999 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(304(a,1),995(a,1,2)),flip(a)]. 1000 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(554(a,2),998(a,1,2))]. 1001 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(220,a,151,a(flip),b,1000,a)]. 1002 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(160,a,1001,a,b,297,a)]. 1004 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(220,a,720,a(flip),b,884,a)]. 1005 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(220,a,628,a(flip),b,893,a(flip))]. 1007 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(63(a,1),1005(a,1,1,1,2)),flip(a)]. 1009 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),908(a,1,2,1))]. 1010 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(154(a,1),908(a,1,2,1)),flip(a)]. 1011 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(178(a,1),908(a,1,2,1)),flip(a)]. 1012 (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. [hyper(555,a,1009,a),flip(a)]. 1014 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(317,a,1009,a),flip(a)]. 1015 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(220,a,65,a(flip),b,1009,a)]. 1018 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(71,a,58,a(flip),b,1009,a),flip(a)]. 1019 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(691,a,1015,a)]. 1020 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(66(a,1),1015(a,1,2,1))]. 1021 (1 / x) * K(x \ 1,x) = x \ 1. [para(179(a,2),1015(a,1,2))]. 1022 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1021(a,1),418(a,2,2))]. 1023 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1019(a,1),460(a,1,2,1))]. 1024 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(220,a,845,a(flip),b,1014,a(flip)),flip(a)]. 1025 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(16(a,1),1014(a,1,2,1)),flip(a)]. 1026 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1018(a,1),22(a,1))]. 1027 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(220,a,66,a(flip),b,1020,a)]. 1029 (1 / (1 / x)) * K(x,1 / x) = x. [para(182(a,2),1027(a,1,2))]. 1031 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(120(a,1),974(a,1,1,1))]. 1032 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(344(a,1),974(a,1,1))]. 1033 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(179(a,2),1031(a,1,1))]. 1035 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),983(a,2,1,1))]. 1036 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(66(a,1),1035(a,1,2,1))]. 1037 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(160,a,1036,a,b,17,a),flip(a)]. 1038 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(78,a,1036,a)]. 1039 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1036(a,2),19(a,1,1))]. 1040 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1036(a,1),161(a,2)),flip(a)]. 1041 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1036(a,1),105(a,2,1))]. 1042 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1038(a,1),208(a,1,2)),flip(b)]. 1043 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1037(a,1),606(a,1,1,2))]. 1044 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(220,a,172,a(flip),b,1023,a)]. 1045 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(298(a,1),1044(a,1,2)),flip(a)]. 1046 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(16(a,1),1025(a,1,1)),flip(a)]. 1047 (1 / x) \ ((y * (1 / x)) / y) = ((y * (1 / x)) / y) * x. [para(66(a,1),1046(a,1,2)),flip(a)]. 1048 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1032(a,1),272(a,1,1)),flip(b)]. 1049 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(810(a,1),1032(a,1,1))]. 1052 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(400(a,1),640(a,1,2,1)),flip(a)]. 1053 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(648(a,1),384(a,1,2)),flip(a)]. 1054 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(652(a,1),417(a,1,1)),flip(a)]. 1056 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(220,a,425,a(flip),b,667,a(flip))]. 1057 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(118(a,1),698(a,2,1,2))]. 1059 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,724,a(flip),b,183,a)]. 1060 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(724(a,1),103(a,1,2))]. 1061 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(725(a,1),103(a,1,2))]. 1062 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(725(a,1),212(a,1,2))]. 1063 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(726(a,1),385(a,1,2)),flip(a)]. 1064 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,732,a(flip),b,185,a),flip(a)]. 1065 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(746(a,1),395(a,1,2))]. 1066 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(436(a,1),756(a,1,1,1))]. 1067 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(220,a,755,a(flip),b,1066,a)]. 1068 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1066(a,1),19(a,1,1))]. 1075 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(220,a,638,a(flip),b,784,a)]. 1076 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1075(a,1),66(a,1,1))]. 1078 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(897(a,1),796(a,1,1,1))]. 1079 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(220,a,333,a(flip),b,797,a(flip))]. 1081 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(1079(a,1),275(a,1,1))]. 1082 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(344(a,1),1081(a,2,1))]. 1083 (1 / x) \ ((y * (1 / x)) / y) != z | x * ((y * (x \ 1)) / y) = z. [para(1047(a,2),804(a,1))]. 1084 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(14(a,1),824(a,1,1,1))]. 1085 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(16(a,1),854(a,1,2,1,2))]. 1087 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(584(a,2),22(a,1))]. 1089 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(740(a,1),979(a,1,1)),flip(a)]. 1090 x * (y * T(y \ (x \ (z * (x * y))),u)) = T(z,u) * (x * y). [hyper(631,a,742,a),flip(a)]. 1091 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(220,a,893,a(flip),b,742,a(flip))]. 1092 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(755(a,1),1091(a,1,2)),flip(a)]. 1093 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(821(a,1),1091(a,1,2)),flip(a)]. 1094 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1033(a,2),1091(a,1,2)),flip(a)]. 1095 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(60(a,1),1094(a,1,1,1,2)),flip(a)]. 1097 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(179(a,2),1095(a,2,1))]. 1098 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1097(a,1,2,2)),flip(a)]. 1099 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1097(a,1,2,2))]. 1100 K(x \ 1,x) * K(x,1 / x) = x * (K(x \ 1,x) * (1 / x)). [para(263(a,1),1097(a,1,2,2)),flip(a)]. 1101 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1098(a,1),167(a,1,2))]. 1102 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(589,a,750,a),flip(a)]. 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(345(a,1),1102(a,1,1))]. 1104 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(506,a,1103,a)]. 1105 (1 / T(x,y)) * x = x / T(x,y). [hyper(320,a,1103,a),flip(a)]. 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(271,a,1103,a),flip(a)]. 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(220,a,118,a(flip),b,1103,a)]. 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(220,a,90,a(flip),b,1103,a)]. 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,1103,a)]. 1110 (x * (y * x)) / x = y * T(x,y * x). [hyper(72,a,118,a(flip),b,1103,a)]. 1112 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,69,a(flip),b,1103,a),flip(a)]. 1115 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(118(a,1),1103(a,2,1))]. 1116 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(120(a,1),1103(a,1,1,2)),flip(a)]. 1118 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(78,a,1105,a)]. 1120 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1118(a,1),208(a,1,2)),flip(b)]. 1121 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1118(a,1),847(a,2,1))]. 1122 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1118(a,1),849(a,1,1)),flip(a)]. 1126 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1104(a,2),161(a,2)),flip(a)]. 1127 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),23(a,1)),flip(a)]. 1128 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),272(a,1,1)),flip(b)]. 1129 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(962(a,2),1106(a,1,1))]. 1132 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,118,a(flip),b,1108,a),flip(a)]. 1133 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(269,a,1132,a),flip(a)]. 1135 (T(x,y) / y) \ x = T(y,T(x,y)). [hyper(71,a,155,a(flip),b,1132,a)]. 1139 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(302(a,1),1132(a,1,1)),flip(a)]. 1140 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(323(a,1),1132(a,1,1)),flip(a)]. 1141 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),886(a,1,1)),flip(a)]. 1145 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1121(a,1),63(a,1,2))]. 1148 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1129(a,1),907(a,1,2)),flip(a)]. 1150 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1148,a),flip(a)]. 1151 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(220,a,962,a(flip),b,1150,a(flip))]. 1152 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(688,a,1151,a)]. 1153 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(171(a,1),1115(a,1,1))]. 1154 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,57,a(flip),b,1153,a)]. 1155 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(120(a,1),1116(a,1,2))]. 1156 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(154(a,1),1116(a,1,2)),flip(a)]. 1157 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(506,a,1155,a)]. 1159 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(320,a,1155,a),flip(a)]. 1160 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(72,a,90,a(flip),b,1155,a)]. 1164 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(220,a,812,a(flip),b,1154,a)]. 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(220,a,1046,a(flip),b,801,a)]. 1166 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),860(a,1,1))]. 1167 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,882,a)]. 1168 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),882(a,2,2,1,2))]. 1169 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,1168,a),flip(a)]. 1170 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(257(a,1),1168(a,1,2)),flip(a)]. 1171 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(220,a,975,a,b,1169,a(flip)),flip(a)]. 1172 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(16(a,1),1170(a,1,2,1)),flip(a)]. 1173 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(220,a,344,a(flip),b,883,a)]. 1176 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(792(a,1),1007(a,1,2)),flip(a)]. 1177 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(99(a,1),1176(a,2,2))]. 1178 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1177(a,1,1,1))]. 1180 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1178(a,2,2,1))]. 1181 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(220,a,296,a,b,1180,a(flip)),flip(a)]. 1183 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1010(a,1,1)),flip(a)]. 1184 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(555,a,1183,a),flip(a)]. 1185 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,89,a(flip),b,1183,a)]. 1186 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,58,a(flip),b,1183,a),flip(a)]. 1187 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(586(a,1),1186(a,1,2,1)),flip(a)]. 1188 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(20,a,384,a,b,1184,a)]. 1189 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(220,a,137,a(flip),b,1011,a(flip))]. 1190 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(317,a,1189,a),flip(a)]. 1192 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(220,a,1159,a(flip),b,1190,a(flip)),flip(a)]. 1195 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(947,a,1064,a),flip(a)]. 1196 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(804,a,1064,a)]. 1197 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1195(a,1,1,1,2)),flip(a)]. 1198 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1195(a,1),1152(a,1,1))]. 1199 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1156(a,1,1,2)),flip(a)]. 1201 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(320,a,1199,a),flip(a)]. 1202 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,64,a(flip),b,1199,a),flip(a)]. 1203 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(950(a,1),1199(a,1,1)),flip(a)]. 1204 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(271,a,1203,a),flip(a)]. 1205 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(920,a,1204,a)]. 1207 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1205,a)]. 1209 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(220,a,1197,a,b,1207,a(flip)),flip(a)]. 1210 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1209(a,1,2,2,2)),flip(a)]. 1211 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(17(a,1),1167(a,1,2,2,1,2)),flip(a)]. 1212 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(344(a,1),1173(a,1,1))]. 1213 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1196(a,2,1,1,2))]. 1214 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(35(a,2),1211(a,1,1))]. 1217 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,742,a(flip),b,1212,a)]. 1218 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(72,a,741,a(flip),b,1212,a),flip(a)]. 1219 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,118,a(flip),b,1212,a),flip(a)]. 1220 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(14(a,1),1212(a,2,2,1,2))]. 1221 (x * T(((x * y) / y) \ z,u)) * y = (x * y) * T((x * y) \ (z * y),u). [para(18(a,1),1212(a,1,1,1))]. 1222 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(87,a,1220,a),flip(a)]. 1223 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(257(a,1),1220(a,1,1))]. 1224 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(220,a,975,a,b,1222,a(flip)),flip(a)]. 1225 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(220,a,342,a(flip),b,1223,a)]. 1227 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(72,a,516,a(flip),b,701,a)]. 1228 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1227(a,1,1,1)),flip(a)]. 1230 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(727(a,1),384(a,1,2)),flip(a)]. 1231 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(749(a,1),395(a,1,2))]. 1232 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(220,a,660,a(flip),b,999,a(flip))]. 1234 ((x \ y) / y) * (y / (x \ y)) = (1 / x) \ ((x \ y) / y). [para(63(a,1),1232(a,1,1,2)),flip(a)]. 1237 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(63(a,1),1234(a,1,2)),flip(a)]. 1238 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(298(a,1),1045(a,1,1)),flip(a)]. 1239 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(16(a,1),1238(a,1,2)),flip(a)]. 1240 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1238(a,1),17(a,1,2))]. 1241 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(160,a,1240,a,b,17,a)]. 1243 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(16(a,1),1239(a,1,1)),flip(a)]. 1244 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1243(a,1),17(a,1,2))]. 1245 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(354(a,1),1057(a,1,1))]. 1246 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(636,a,644,a)]. 1247 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(644(a,1),636(a,1))]. 1248 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(220,a,1222,a(flip),b,1246,a)]. 1249 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(220,a,1169,a(flip),b,1246,a)]. 1250 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(220,a,833,a(flip),b,1246,a)]. 1251 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(220,a,810,a(flip),b,1246,a)]. 1252 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,1246,a,b,344,a)]. 1253 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(836(a,1),1246(a,1,1))]. 1254 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1246(a,2),907(a,1,2)),flip(a)]. 1255 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1246(a,2),1168(a,1,2)),flip(a)]. 1256 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1250(a,2),19(a,1,1)),flip(a)]. 1257 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (T(y / z,x) * z) / y. [para(1250(a,2),439(a,1,1))]. 1259 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(120(a,1),1251(a,2,2))]. 1260 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(154(a,1),1251(a,2,2))]. 1262 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(a,2),1248(a,1,1,2,2))]. 1263 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [para(628(a,1),1248(a,2,1))]. 1264 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(953(a,1),1248(a,2,1,2))]. 1265 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(66(a,1),1249(a,2,2,2,1))]. 1267 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(854,a,1255,a),flip(a)]. 1269 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1255(a,2,2,1,2,2))]. 1270 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1255(a,2,2,1,2,2))]. 1271 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(988(a,1),1259(a,2,2))]. 1272 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1260(a,2),119(a,1,2))]. 1273 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(586(a,1),1260(a,1,1,2,2,1))]. 1274 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1132(a,1),1265(a,2,2))]. 1275 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(493,a,1254,a)]. 1276 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(257(a,1),1263(a,2,1,2))]. 1278 (x * y) * R(T(x,x * y),z,u) = x * (y * R(y \ (x * y),z,u)). [para(35(a,2),861(a,1,2,1))]. 1279 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),864(a,1,1))]. 1280 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(734,a,944,a)]. 1281 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1046(a,1),1280(a,1,1))]. 1282 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(87,a,1281,a)]. 1284 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(155(a,1),1281(a,1,1,2)),flip(a)]. 1285 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(66(a,1),1282(a,1,1,2,2)),flip(a)]. 1286 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1282(a,1),844(a,1,3)),flip(a)]. 1287 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(1083,a,1285,a),flip(a)]. 1288 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1287(a,1),19(a,1,1))]. 1289 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(905(a,1),1288(a,1,1,2,1))]. 1293 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,1052,a)]. 1294 (x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y). [hyper(71,a,529,a(flip),b,1052,a),flip(a)]. 1296 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(220,a,534,a(flip),b,1294,a(flip))]. 1297 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,225,a(flip),b,1296,a(flip)),flip(a)]. 1298 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(1296(a,1),17(a,1,2))]. 1300 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(1297(a,1),17(a,1,2))]. 1301 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1297(a,1),401(a,1,1))]. 1302 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1297(a,1),761(a,1,2,1)),flip(a)]. 1303 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1300(a,1),29(a,2,1)),flip(a)]. 1306 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(16(a,1),1298(a,1,2,2)),flip(a)]. 1310 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,89,a(flip),b,1306,a)]. 1312 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1306(a,1),167(a,1,2))]. 1313 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(179(a,2),1310(a,1,2))]. 1315 (R(x / (y / z),u,w) * (y / z)) * z = y * R(y \ (x * z),u,w). [hyper(220,a,542,a(flip),b,1054,a)]. 1319 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,1063,a)]. 1322 x * (y * R(y \ (x * y),z,u)) = R(x,z,u) * (x * y). [hyper(316,a,1278,a),flip(a)]. 1323 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(35(a,2),1322(a,1,2,2,1))]. 1324 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(173(a,1),1323(a,1,2)),flip(a)]. 1325 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(556,a,1324,a)]. 1326 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(555,a,1324,a),flip(a)]. 1329 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,1324,a)]. 1330 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,58,a(flip),b,1324,a),flip(a)]. 1333 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(118(a,1),1324(a,1,2)),flip(a)]. 1334 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(220,a,118,a,b,1330,a(flip)),flip(a)]. 1335 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1330(a,1),183(a,1,2)),flip(a)]. 1343 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(160,a,114,a(flip),b,1333,a),flip(a)]. 1346 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1293(a,1,2,2,1,2)),flip(a)]. 1347 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1346(a,1,1)),flip(a)]. 1348 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(211,a,1312,a),flip(a)]. 1349 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1348(a,1),172(a,1,2))]. 1351 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(542(a,1),1315(a,1,1))]. 1352 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1319(a,1,2,2,1))]. 1353 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(361,a,1352,a)]. 1354 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1352(a,1),361(a,1))]. 1355 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(220,a,1165,a(flip),b,1353,a)]. 1357 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(837(a,1),1353(a,1,2)),flip(a)]. 1358 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1145(a,1),1353(a,1,2)),flip(a)]. 1359 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(905(a,1),1355(a,2,2,1))]. 1360 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(987(a,1),1355(a,2,2,1))]. 1361 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(346(a,2),1357(a,1,2,1))]. 1362 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(14(a,1),1351(a,2,2,1,2))]. 1363 (x * R(((x * y) / y) \ z,u,w)) * y = (x * y) * R((x * y) \ (z * y),u,w). [para(18(a,1),1351(a,1,1,1))]. 1364 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1362,a),flip(a)]. 1365 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1364(a,1,1)),flip(a)]. 1368 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(729(a,1),434(a,1,1))]. 1370 (L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u). [hyper(220,a,624,a(flip),b,695,a(flip)),flip(a)]. 1371 (x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u). [para(531(a,1),1370(a,1,1))]. 1372 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(14(a,1),1371(a,2,2,1,2))]. 1373 (x * y) * L((x * y) \ (z * (x \ (x * y))),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1371(a,1,2)),flip(a)]. 1374 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(733(a,1),800(a,1,1))]. 1375 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(779(a,1),1374(a,1,1,1,2)),flip(a)]. 1378 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(184(a,1),957(a,1,2))]. 1379 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(463(a,1),1378(a,1,1))]. 1380 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1379(a,1),41(a,1,1)),flip(a)]. 1381 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(807(a,1),1380(a,1,1))]. 1382 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1381(a,1,1)),flip(a)]. 1383 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(436(a,1),1382(a,2,2))]. 1384 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1383(a,1,1))]. 1385 T(x,x * (y \ 1)) = T(x,y \ x). [para(120(a,1),1384(a,1,2)),flip(a)]. 1387 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (z * T(z \ y,x)) / y. [para(344(a,1),1257(a,2,1))]. 1388 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(442(a,1),1289(a,2,2))]. 1389 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1388(a,2,2,1))]. 1390 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(15(a,1),1060(a,1,2,1,2,2))]. 1391 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(952,a,1390,a)]. 1392 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1390,a(flip))]. 1393 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1390(a,1,1))]. 1394 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(220,a,1353,a,b,1391,a)]. 1395 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1391,a(flip),b,812,a)]. 1396 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1391(a,2),1288(a,1,1)),flip(a)]. 1397 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1394(a,1),17(a,1,2))]. 1398 x * K(x,(x / y) / x) != z | T(x,x / (x * y)) = z. [para(1394(a,1),208(a,1,2)),flip(b)]. 1399 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(63(a,1),1397(a,1,2,2,1)),flip(a)]. 1400 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(113(a,2),1399(a,1,2))]. 1402 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1400(a,2,2,2))]. 1403 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1402(a,1),897(a,1,2,1)),flip(a)]. 1404 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(987(a,1),1395(a,1,1,2,1))]. 1405 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1402(a,1),1403(a,1,1)),flip(a)]. 1406 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(15(a,1),1405(a,1,2)),flip(a)]. 1407 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,16,a(flip),b,1406,a)]. 1408 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(29(a,2),1065(a,1,2,1)),flip(a)]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(930(a,1),1408(a,1,2))]. 1410 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(18(a,1),1221(a,1,1,2,1,1)),flip(a)]. 1411 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(757,a,1410,a)]. 1413 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(160,a,1410,a(flip),b,742,a(flip)),flip(a)]. 1414 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1410(a,1,2,1,2))]. 1416 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1413(a,1,2,1,2)),flip(a)]. 1417 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1416,a,b,xx)]. 1418 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [para(118(a,1),1416(a,1,1)),flip(a)]. 1419 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(213,a,1418,a),flip(a)]. 1420 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1418,a(flip),b,118,a(flip))]. 1421 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1419(a,2),62(a,1,2,1))]. 1422 x \ T(x * (y / x),x) = T(y,x) / x. [para(67(a,1),1420(a,1,1,1)),flip(a)]. 1425 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1421(a,1,2,1,1,1))]. 1426 T(x * (y / x),x) = x * (T(y,x) / x). [para(67(a,1),1421(a,1,2,1,1)),flip(a)]. 1429 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(820(a,1),1425(a,1,2)),flip(a)]. 1430 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1417(a,1,2,1,2,1))]. 1431 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * (x * (1 / x)). [hyper(220,a,1090,a(flip),b,1429,a)]. 1432 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1422(a,1),1430(a,2,1))]. 1433 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1432(a,1),17(a,1,2)),flip(a)]. 1434 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(143(a,1),1433(a,2,2,1,1))]. 1435 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(757,a,1414,a)]. 1436 T(x,x * T(x \ 1,y)) = x. [hyper(160,a,628,a(flip),b,1414,a(flip))]. 1437 T(x,(x \ 1) * x) = x. [para(118(a,1),1436(a,1,2))]. 1438 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1436(a,1),668(a,1,1))]. 1439 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(346(a,1),1436(a,1,2))]. 1440 T(x \ 1,x \ T(x,y)) = x \ 1. [para(810(a,1),1436(a,1,2))]. 1441 T(1 / x,T(x,y) / x) = 1 / x. [para(833(a,1),1436(a,1,2))]. 1442 R(x,x \ 1,x) = T(x,x \ 1). [para(1437(a,1),665(a,1,1))]. 1443 T(x,x \ 1) \ x = (x \ 1) * x. [para(1442(a,1),326(a,1,1))]. 1444 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1440,a)]. 1445 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1440(a,1),118(a,1,2))]. 1446 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1441(a,1),354(a,1,1,2)),flip(a)]. 1448 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(160,a,1443,a(flip),b,905,a),flip(a)]. 1452 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [hyper(220,a,559,a(flip),b,1448,a(flip))]. 1453 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(220,a,246,a,b,1452,a),flip(a)]. 1454 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(220,a,119,a,b,1452,a),flip(a)]. 1455 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(66(a,1),1452(a,2,1,1))]. 1456 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1439(a,1),665(a,1,1))]. 1457 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1444(a,1),634(a,1,1)),flip(a)]. 1458 T(x,1 / x) = (x \ 1) \ 1. [para(66(a,1),1455(a,1,1))]. 1459 T(x,1 / x) = T(x,x \ 1). [hyper(220,a,119,a,b,1458,a)]. 1460 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(220,a,669,a,b,1458,a(flip)),flip(a)]. 1461 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1458(a,1),879(a,1,1,1))]. 1462 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1459(a,1),354(a,1,1,2))]. 1463 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1459(a,1),670(a,2,1))]. 1464 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(220,a,471,a,b,1460,a(flip)),flip(a)]. 1465 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(72,a,1460,a(flip),b,471,a)]. 1466 K(x,1 / x) * x = T(x,x \ 1). [hyper(220,a,119,a,b,1464,a)]. 1468 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(220,a,1024,a(flip),b,1465,a(flip)),flip(a)]. 1469 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(66(a,1),1465(a,1,1,1)),flip(a)]. 1470 (x \ 1) * K(x,1 / x) = 1 / x. [para(1468(a,1),17(a,1,2))]. 1471 (1 / x) / K(x,1 / x) = x \ 1. [para(1468(a,1),63(a,1,2))]. 1473 R(1 / x,x,1 / x) = x \ 1. [hyper(577,a,1471,a)]. 1474 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1473(a,1),306(a,1,1)),flip(a)]. 1475 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1474(a,1),139(a,1,1))]. 1476 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1463(a,1),609(a,1,2))]. 1477 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(66(a,1),1461(a,1,1,1,1)),flip(a)]. 1479 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(585,a,1462,a),flip(a)]. 1480 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(155(a,1),1479(a,1,1)),flip(a)]. 1481 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(220,a,633,a,b,1457,a),flip(a)]. 1482 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1481(a,2,1)),flip(a)]. 1483 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1482,a)]. 1485 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1482(a,1),213(a,1,2))]. 1486 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1483(a,1),346(a,1,2)),flip(a)]. 1487 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(118(a,1),1435(a,1,2)),flip(a)]. 1488 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(87,a,1487,a)]. 1490 (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. [para(119(a,2),1487(a,2,2,1,2)),flip(a)]. 1491 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(988(a,1),1488(a,1,1,2,1))]. 1492 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(155(a,1),1480(a,1,1)),flip(a)]. 1493 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1492(a,1),1122(a,1,1))]. 1494 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1493(a,1),1112(a,1,1,1))]. 1495 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(220,a,17,a(flip),b,1486,a)]. 1497 T(x,K(x \ 1,y)) = x. [hyper(86,a,1495,a)]. 1498 T(1 / x,K(x,y)) = 1 / x. [para(66(a,1),1497(a,1,2,1))]. 1502 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1498(a,1),651(a,1,1)),flip(a)]. 1503 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(220,a,304,a(flip),b,1502,a)]. 1504 T(x / y,K(y / x,z)) = x / y. [para(14(a,1),1503(a,1,1,1))]. 1505 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1504(a,1),175(a,1,1)),flip(a)]. 1506 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(220,a,1429,a,b,1411,a(flip)),flip(a)]. 1507 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1411(a,1,2,2,1,2,2))]. 1508 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1411(a,1,2,2,1,2,2)),flip(a)]. 1509 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(259(a,1),1411(a,2,1,2,1))]. 1510 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1411(a,1,2,2,1,2)),flip(a)]. 1512 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(804,a,1494,a)]. 1513 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(160,a,1508,a,b,17,a),flip(a)]. 1515 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(755(a,1),1508(a,1,1)),flip(a)]. 1516 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1508(a,1,1))]. 1517 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(905(a,1),1512(a,1,2,1))]. 1518 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1512(a,1),1392(a,1,2))]. 1519 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1517(a,1),1389(a,1,1))]. 1520 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(214,a,1519,a)]. 1522 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(220,a,1518,a,b,1520,a(flip)),flip(a)]. 1523 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1517(a,2),1522(a,1,2))]. 1524 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(55(a,1),1516(a,2,2,2,1,2))]. 1526 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(118(a,1),1524(a,2,2))]. 1527 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(257(a,1),1524(a,2,2))]. 1528 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,114,a(flip),b,1526,a)]. 1529 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(18(a,1),1527(a,1,1,1))]. 1531 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1528(a,1),23(a,1)),flip(a)]. 1532 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(349(a,1),1438(a,1,2)),flip(a)]. 1533 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(349(a,1),1532(a,1,2)),flip(a)]. 1534 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1533(a,1),49(a,1,1)),flip(a)]. 1535 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1533(a,1),1343(a,1,1))]. 1536 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(175(a,1),1535(a,1,2))]. 1537 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(220,a,1434,a(flip),b,1536,a)]. 1538 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(180(a,1),1491(a,1,1))]. 1540 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1230(a,2,2,1,2,2))]. 1542 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1353(a,2),1540(a,1,2))]. 1543 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1542(a,1,2,2,1,2)),flip(a)]. 1544 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1264(a,2,1))]. 1545 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1269(a,1,2,1)),flip(a)]. 1546 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1246(a,1),1545(a,1,2))]. 1547 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(78,a,1546,a)]. 1552 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(931(a,1),1358(a,1,2,1))]. 1553 (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. [para(792(a,1),1490(a,2,1))]. 1554 (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. [para(99(a,1),1553(a,2,1))]. 1555 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(118(a,1),1515(a,1,2)),flip(a)]. 1556 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1049(a,2),1515(a,1,2)),flip(a)]. 1557 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(220,a,1419,a,b,1555,a(flip)),flip(a)]. 1558 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(67(a,1),1557(a,1,1))]. 1560 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(16(a,1),1558(a,2,2,1,2)),flip(a)]. 1561 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1560(a,1,2,1)),flip(a)]. 1563 ((x \ 1) * y) \ T((x \ 1) * y,x) != z | L(K(x \ y,x),y,x \ 1) = z. [para(1560(a,1),682(a,1,2))]. 1564 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1561(a,1),118(a,1,2)),flip(a)]. 1565 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(220,a,180,a(flip),b,1564,a)]. 1567 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(60(a,1),1556(a,1,1,2,1,2)),flip(a)]. 1568 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(15(a,1),1567(a,2,1,2,1))]. 1570 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(20,a,224,a(flip),b,1568,a)]. 1572 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(220,a,1446,a(flip),b,842,a(flip)),flip(a)]. 1574 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1572(a,1),588(a,1,1))]. 1575 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(220,a,176,a(flip),b,1574,a(flip))]. 1576 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1575(a,1),1357(a,1,2))]. 1577 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(298(a,1),980(a,1,2)),flip(a)]. 1578 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1577(a,1),801(a,1,2,1))]. 1579 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1577(a,1),1353(a,2,2,1)),flip(a)]. 1580 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1101(a,1),211(a,1))]. 1581 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(220,a,392,a(flip),b,1139,a)]. 1582 T(x,x * (y * T(y \ 1,x))) = x. [para(1581(a,1),356(a,1,2))]. 1583 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1581(a,1),1046(a,1,1)),flip(a)]. 1585 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1169(a,1),1582(a,1,2,2))]. 1586 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(953(a,1),1585(a,1,2,2,2,2))]. 1587 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1586(a,1,2,2,2))]. 1588 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1587(a,1),41(a,1,1)),flip(a)]. 1589 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(220,a,900,a(flip),b,1588,a(flip)),flip(a)]. 1590 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1589(a,1),63(a,1,2))]. 1591 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1284(a,1),1589(a,1,1,2,1))]. 1592 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1128,a,1590,a)]. 1593 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1126,a,1590,a)]. 1594 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1590(a,2),617(a,1,2))]. 1595 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1593(a,1),344(a,1,1)),flip(a)]. 1596 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(220,a,1284,a(flip),b,1591,a)]. 1597 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1298(a,1),528(a,1,1))]. 1604 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(125(a,1),1059(a,1,2,1,2))]. 1606 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(586(a,1),1187(a,1,1)),flip(a)]. 1607 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(35(a,2),1214(a,1,2,1,1)),flip(a)]. 1608 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(742(a,1),1607(a,1,2))]. 1609 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(220,a,1513,a(flip),b,1608,a(flip))]. 1610 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(16(a,1),1609(a,1,2,1,2)),flip(a)]. 1611 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(155(a,1),1610(a,1,1,2,1,2)),flip(a)]. 1612 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(143(a,1),1611(a,1,2,1,2))]. 1613 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1247,a,1612,a),flip(a)]. 1614 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(213,a,1612,a),flip(a)]. 1615 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(78,a,1612,a)]. 1618 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(191(a,1),1613(a,2,1,2))]. 1619 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(257(a,1),1613(a,1,1)),flip(a)]. 1620 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(810(a,1),1613(a,1,1))]. 1621 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(887(a,2),1613(a,1,1)),flip(a)]. 1622 L(x,T(x,y) \ 1,T(x,y)) = x * T(K(x \ 1,x),y). [para(1619(a,1),1275(a,2,2))]. 1623 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,2),1618(a,1,2))]. 1624 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1453(a,1),1620(a,2,1,2,2))]. 1625 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1440(a,1),1615(a,1,2,1,2)),flip(a)]. 1626 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(220,a,1620,a,b,1624,a)]. 1627 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1626(a,1),634(a,1,1)),flip(a)]. 1628 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1625(a,2,2,1))]. 1630 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(143(a,1),1628(a,2,2))]. 1632 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(220,a,634,a(flip),b,1627,a)]. 1633 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),1632(a,2,1))]. 1634 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),1633(a,1,1))]. 1636 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [hyper(220,a,864,a(flip),b,1231,a(flip))]. 1637 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(15(a,1),1231(a,1,2,1,2)),flip(a)]. 1643 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(18(a,1),1363(a,1,1,2,1,1)),flip(a)]. 1645 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(160,a,1643,a(flip),b,862,a(flip)),flip(a)]. 1646 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1643,a(flip),b,1053,a),flip(a)]. 1647 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1643(a,1,2,1,2))]. 1648 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1643(a,1,2,1)),flip(a)]. 1651 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1648(a,1,1,2,1))]. 1653 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(496,a,1651,a)]. 1654 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(320,a,1651,a),flip(a)]. 1655 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,1651,a)]. 1656 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(72,a,90,a(flip),b,1651,a)]. 1657 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1654,a)]. 1658 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1657(a,1),214(a,1,1)),flip(b)]. 1659 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1653(a,1),274(a,1,2)),flip(b)]. 1660 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1655(a,1),886(a,1,1)),flip(a)]. 1661 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(220,a,753,a(flip),b,1660,a(flip)),flip(a)]. 1662 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1660(a,1),536(a,1,2))]. 1663 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,57,a(flip),b,1662,a)]. 1665 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(220,a,567,a(flip),b,1663,a(flip)),flip(a)]. 1666 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1645(a,1,2,1,2)),flip(a)]. 1669 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(143(a,1),1666(a,2,2,1,2))]. 1670 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1669,a)]. 1671 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1669(a,1),1426(a,2,2,1))]. 1672 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(66(a,1),1670(a,1,2,2,1))]. 1673 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(545(a,1),1670(a,1,2))]. 1674 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(985(a,1),1670(a,1,2))]. 1675 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1674(a,1),41(a,1,1)),flip(a)]. 1676 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1672(a,1),615(a,1,1,2))]. 1677 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1673(a,1),665(a,1,1))]. 1680 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(867,a,1647,a)]. 1684 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(220,a,120,a(flip),b,1661,a)]. 1685 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1684(a,1),17(a,1,2))]. 1686 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(72,a,14,a(flip),b,1685,a)]. 1687 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(304(a,1),1686(a,1,1)),flip(a)]. 1688 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(304(a,1),1687(a,1,2)),flip(a)]. 1690 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(63(a,1),1688(a,1,1)),flip(a)]. 1693 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(63(a,1),1690(a,1,2)),flip(a)]. 1694 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1693(a,1),1228(a,1,2,1,2))]. 1699 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1676(a,1),993(a,1,1))]. 1700 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(220,a,176,a(flip),b,1699,a(flip)),flip(a)]. 1704 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(548(a,1),1671(a,2,2))]. 1705 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(548(a,1),1704(a,1,1,2))]. 1706 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(151(a,1),1705(a,1,1,2))]. 1707 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(151(a,1),1706(a,2,2))]. 1708 T(x,x * (y / (x * y))) = x. [hyper(38,a,1707,a)]. 1709 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1708(a,1,2,2,2))]. 1710 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1709(a,1),175(a,1,1)),flip(a)]. 1711 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(220,a,120,a(flip),b,1710,a)]. 1712 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1711(a,1),1224(a,2,1,2))]. 1713 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1647(a,1),1680(a,1,2)),flip(a)]. 1714 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(985(a,1),1713(a,1,1)),flip(a)]. 1715 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1712(a,2,1))]. 1716 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(220,a,60,a(flip),b,1715,a)]. 1718 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1716(a,1),976(a,1,1)),flip(a)]. 1719 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(39,a,1718,a)]. 1721 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1719(a,1,1,2))]. 1722 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1721(a,1,2,2))]. 1723 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1722,a)]. 1724 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(220,a,1002,a(flip),b,1723,a(flip)),flip(a)]. 1727 L(x \ 1,x,x \ 1) = 1 / x. [para(128(a,1),1724(a,1,3))]. 1728 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(151(a,2),1724(a,1,3))]. 1729 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1724(a,1),297(a,1,2))]. 1730 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1727(a,1),302(a,1,2))]. 1731 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1727(a,1),1372(a,1,1,2)),flip(a)]. 1732 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(220,a,179,a,b,1730,a)]. 1733 T(1 / (1 / x),x \ 1) = x. [hyper(160,a,1159,a,b,1730,a(flip))]. 1735 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1733(a,1),41(a,1,1)),flip(a)]. 1736 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1469,a,b,1732,a(flip)),flip(a)]. 1737 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1192,a(flip),b,1732,a(flip)),flip(a)]. 1738 K(x \ 1,x) * (1 / x) = x \ 1. [para(1732(a,1),19(a,1,1))]. 1740 x * K(x \ 1,x) = 1 / (1 / x). [para(1737(a,1),17(a,1,2))]. 1742 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1738(a,1),103(a,1,1))]. 1743 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1738(a,1),105(a,2,1))]. 1744 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1738(a,1),114(a,1,2))]. 1745 K(x \ 1,x) * K(x,1 / x) = x * (x \ 1). [para(1738(a,1),1100(a,2,2))]. 1746 L(x,x \ 1,x) = 1 / (1 / x). [hyper(692,a,1740,a)]. 1750 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1746(a,1),47(a,1,1)),flip(a)]. 1751 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1746(a,1),697(a,2,1,2))]. 1753 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1728(a,1),302(a,1,2))]. 1756 K(x \ 1,x) * K(x,1 / x) = 1. [hyper(220,a,17,a(flip),b,1745,a)]. 1758 K(x,1 / x) = K(x,x \ 1). [hyper(20,a,357,a,b,1756,a)]. 1760 K(x,x \ 1) = x * (1 / x). [hyper(340,a,1758,a),flip(a)]. 1761 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(220,a,1465,a,b,1758,a(flip)),flip(a)]. 1762 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(220,a,581,a,b,1758,a(flip)),flip(a)]. 1763 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(220,a,1736,a(flip),b,1758,a(flip))]. 1764 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1758,a(flip),b,182,a(flip))]. 1765 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(63(a,1),1758(a,1,2)),flip(a)]. 1766 K(x,x \ 1) != y | x * (1 / x) = y. [para(1758(a,1),340(a,1))]. 1768 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1758(a,1),1464(a,1,1))]. 1769 K(x,x \ 1) * x = T(x,x \ 1). [para(1758(a,1),1466(a,1,1))]. 1770 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1758(a,1),1470(a,1,2))]. 1771 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(220,a,1475,a,b,1760,a),flip(a)]. 1772 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1760,a,b,899,a)]. 1774 x \ K(x,x \ 1) != y | 1 / x = y. [para(1760(a,2),209(a,1,2)),flip(b)]. 1775 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1760(a,2),1306(a,1,2))]. 1776 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1760(a,2),1310(a,1,2))]. 1777 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)). [para(1764(a,1),1053(a,1,2,1)),flip(a)]. 1782 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1769(a,1),103(a,1,1))]. 1783 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1769(a,1),396(a,1,2,2))]. 1784 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1485,a,1770,a)]. 1785 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1784(a,1),448(a,1,1))]. 1786 K(1 / x,x) = K(x \ 1,x). [para(66(a,1),1763(a,1,2))]. 1787 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(63(a,1),1786(a,1,1)),flip(a)]. 1789 K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1. [para(1787(a,1),339(a,1,1)),flip(a)]. 1790 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1787(a,1),1097(a,1,2,1))]. 1791 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(220,a,1765,a(flip),b,1789,a(flip))]. 1793 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1750(a,1),1538(a,1,1))]. 1794 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1040,a,1753,a)]. 1795 T(1 / (1 / x),y / (x * y)) = x. [para(151(a,1),1794(a,1,2))]. 1796 T(x,y / (x * y)) = T(x,x \ 1). [para(1795(a,1),1735(a,1,1)),flip(a)]. 1797 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(220,a,119,a(flip),b,1796,a)]. 1798 T(x,(x \ y) / y) = T(x,x \ 1). [para(17(a,1),1796(a,1,2,2))]. 1799 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1796(a,1),1225(a,2,1))]. 1800 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1797(a,1,2,2))]. 1801 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(1798(a,1),118(a,1,2))]. 1803 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),1800(a,1,2))]. 1804 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1800(a,1),345(a,1,1))]. 1805 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,549,a(flip),b,1803,a(flip)),flip(a)]. 1806 L(x,T(x,y) \ 1,T(x,y)) = (y * (1 / (1 / T(x,y)))) / y. [para(155(a,1),1751(a,1,1))]. 1807 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1087,a,1804,a)]. 1809 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1760(a,2),1731(a,2,1))]. 1810 (x * (1 / (1 / T(y,x)))) / x = y * T(K(y \ 1,y),x). [hyper(220,a,1622,a(flip),b,1806,a(flip))]. 1811 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * ((1 / (1 / T(y,x))) \ 1). [para(1810(a,1),1025(a,1,2))]. 1812 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1729(a,1),1771(a,1,2))]. 1813 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1812(a,1),17(a,1,2)),flip(a)]. 1816 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(880,a,1742,a(flip))]. 1817 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1787(a,1),1790(a,2,1))]. 1818 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,1817,a)]. 1819 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1373(a,1,2,1,2,2))]. 1820 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(((x / y) * y) \ (z * y),u,w). [hyper(271,a,1819,a),flip(a)]. 1821 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(220,a,864,a(flip),b,1819,a(flip)),flip(a)]. 1822 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(220,a,739,a(flip),b,1819,a(flip))]. 1824 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(160,a,1819,a(flip),b,864,a(flip)),flip(a)]. 1825 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(14(a,1),1819(a,1,2,1,2))]. 1827 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1824(a,1,2,1,2)),flip(a)]. 1828 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1827,a,b,xx)]. 1829 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1828(a,1,2,1,2,1)),flip(a)]. 1832 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(220,a,864,a(flip),b,1825,a(flip)),flip(a)]. 1834 T(x,x * L(x \ 1,y,z)) = x. [hyper(160,a,739,a(flip),b,1825,a(flip))]. 1835 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(160,a,1825,a(flip),b,1637,a),flip(a)]. 1836 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(160,a,1825,a(flip),b,395,a(flip))]. 1838 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1834,a)]. 1839 T(x,x * ((y * x) \ y)) = x. [para(150(a,1),1834(a,1,2,2))]. 1840 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(298(a,1),1834(a,1,2,2))]. 1841 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(534(a,1),1834(a,1,2))]. 1842 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(834(a,1),1839(a,1,2,2,1))]. 1843 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1840(a,1),614(a,1,2)),flip(a)]. 1844 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1840(a,1),1171(a,2,2,2))]. 1845 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1841(a,1),665(a,1,1))]. 1846 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(38,a,1842,a)]. 1848 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1727(a,1),1832(a,2,1,2))]. 1849 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1809(a,1),1848(a,1,2))]. 1850 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(20,a,103,a(flip),b,1849,a)]. 1851 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1760(a,2),1849(a,2,1))]. 1852 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1851(a,1,2,2)),flip(a)]. 1853 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),22(a,1))]. 1854 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(35(a,2),1851(a,1,2,2))]. 1855 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),209(a,1,2)),flip(b)]. 1856 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1763(a,1),1851(a,1,2,1))]. 1857 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1765(a,1),1851(a,1,2,1))]. 1858 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1852(a,1),22(a,1)),flip(a)]. 1859 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1850(a,1),22(a,1)),flip(a)]. 1860 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,1835,a)]. 1861 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(220,a,296,a(flip),b,1835,a(flip))]. 1862 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1835(a,1),22(a,1))]. 1863 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(642(a,1),1835(a,2,1,2))]. 1865 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(298(a,1),1860(a,1,2,1,2))]. 1866 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(834(a,1),1861(a,2,2,1))]. 1867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(917(a,1),1863(a,1,2))]. 1868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(141(a,1),1867(a,2,1,2))]. 1869 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(739(a,1),1822(a,1,1))]. 1870 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(72,a,90,a(flip),b,1869,a)]. 1871 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(294(a,1),1869(a,1,1,2,2)),flip(a)]. 1872 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(294(a,1),1871(a,1,2,2)),flip(a)]. 1873 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1760(a,2),1872(a,1,1,2))]. 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1760(a,2),1873(a,2,2))]. 1875 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,90,a(flip),b,1874,a)]. 1876 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1875(a,1),120(a,1,1))]. 1880 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(220,a,225,a(flip),b,1844,a)]. 1882 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1880(a,1),976(a,1,1)),flip(a)]. 1883 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(220,a,1241,a(flip),b,1882,a(flip)),flip(a)]. 1884 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(322,a,1883,a)]. 1885 L(x \ 1,y \ (y * x),(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1884(a,1,1,1))]. 1886 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1884(a,1,3))]. 1887 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1884(a,1),1346(a,1,2)),flip(a)]. 1888 L(x \ 1,x,(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1885(a,1,2))]. 1889 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(16(a,1),1888(a,2,2))]. 1890 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1889(a,1),297(a,1,2))]. 1891 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1889(a,1),302(a,1,2))]. 1893 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(150(a,2),1890(a,1,1,1)),flip(a)]. 1894 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1891(a,1),1256(a,2,1,1,2)),flip(a)]. 1895 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(500,a,1893,a)]. 1896 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(220,a,150,a(flip),b,1886,a(flip)),flip(a)]. 1897 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(220,a,1760,a,b,1887,a)]. 1898 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1897(a,1),17(a,1,2)),flip(a)]. 1899 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(330(a,1),1856(a,1,2,2)),flip(a)]. 1900 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1765(a,1),1857(a,2,1))]. 1901 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,1900,a)]. 1902 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(220,a,1743,a,b,1901,a(flip)),flip(a)]. 1903 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1576(a,1),1866(a,1,1)),flip(a)]. 1904 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(259(a,1),1375(a,1,2,1,2)),flip(a)]. 1905 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(155(a,1),1904(a,1,1)),flip(a)]. 1906 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(155(a,1),1905(a,1,2)),flip(a)]. 1907 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1906(a,1),1359(a,1,2,1)),flip(a)]. 1908 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(18(a,1),1907(a,2,2))]. 1909 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1908(a,1),17(a,1,2))]. 1912 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(545(a,1),1646(a,2,2,1))]. 1913 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(19(a,1),1820(a,2,2,1,1))]. 1914 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(87,a,1913,a)]. 1915 ((x / y) * L((x / y) \ x,z,u)) * y = x * L(y,z,u). [para(16(a,1),1913(a,2,2,1))]. 1916 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1915,a),flip(a)]. 1917 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [para(66(a,1),1915(a,1,1,2,1))]. 1918 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(78,a,1917,a)]. 1920 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1917,a),flip(a)]. 1921 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(18(a,1),1917(a,1,1,1))]. 1922 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(269,a,1920,a),flip(a)]. 1923 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1920,a)]. 1924 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1920(a,1),105(a,2,1))]. 1925 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1920(a,1),617(a,1,2))]. 1926 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1923(a,1),1353(a,1,2)),flip(a)]. 1927 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [para(18(a,1),1918(a,1,1,1))]. 1929 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(496,a,1921,a)]. 1930 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(320,a,1921,a),flip(a)]. 1931 ((x * y) * L(y,z,u)) / y = x * L(y,z,u). [hyper(87,a,1921,a)]. 1932 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(160,a,1930,a,b,17,a)]. 1934 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1927(a,1),886(a,1,1)),flip(a)]. 1935 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1929(a,1),274(a,1,2)),flip(b)]. 1936 ((x * y) * (1 / (1 / y))) / y = x * L(y,y \ 1,y). [para(1746(a,1),1931(a,1,1,2))]. 1938 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1934(a,1),536(a,1,2))]. 1940 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1916(a,1),1834(a,1,2))]. 1941 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1940(a,1),354(a,1,1,2)),flip(a)]. 1942 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(220,a,296,a(flip),b,1922,a)]. 1943 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1942(a,1),19(a,1,1))]. 1944 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1942(a,1),66(a,1,1))]. 1945 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(220,a,150,a(flip),b,1943,a)]. 1946 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1943(a,1),29(a,2,1)),flip(a)]. 1947 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1945(a,1),236(a,1,1))]. 1948 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(17(a,1),1944(a,1,1,2,1))]. 1949 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(298(a,1),1948(a,1,2))]. 1950 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1949(a,1),63(a,1,2))]. 1951 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(14(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1952 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(19(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1953 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1951(a,1,1)),flip(a)]. 1954 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(((x * y) / y) \ (z / y),u,w). [para(18(a,1),1952(a,1,1)),flip(a)]. 1955 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1894(a,1,1,1))]. 1957 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(x \ (z / y),u,w). [para(18(a,1),1954(a,2,2,1,1))]. 1958 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [para(864(a,1),1957(a,1,1))]. 1959 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1958(a,1),120(a,1,1)),flip(a)]. 1960 x \ (x * (T(y,x) * L(T(y,x) \ z,u,w))) = T(y * L(y \ ((x * z) / x),u,w),x). [para(1636(a,2),1959(a,1,2))]. 1961 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(734,a,802,a),flip(a)]. 1963 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1961(a,1,2,1,2,2)),flip(a)]. 1964 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(720(a,1),1961(a,2,1))]. 1965 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(271,a,1963,a),flip(a)]. 1966 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1963(a,1),271(a,1))]. 1967 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(220,a,1061,a(flip),b,1965,a(flip)),flip(a)]. 1968 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1965,a(flip))]. 1969 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(160,a,1968,a,b,17,a),flip(a)]. 1971 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(437(a,2),1967(a,2,1,2,1)),flip(a)]. 1972 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(948(a,1),1966(a,1))]. 1973 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(271,a,1964,a),flip(a)]. 1974 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(220,a,1390,a(flip),b,1964,a(flip))]. 1977 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1964(a,1,2,1,2,2))]. 1979 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(220,a,1390,a(flip),b,1977,a(flip))]. 1980 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(220,a,1061,a(flip),b,1977,a(flip)),flip(a)]. 1981 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(220,a,1060,a(flip),b,1977,a(flip)),flip(a)]. 1982 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(160,a,1977,a(flip),b,1543,a(flip))]. 1985 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1977(a,1),1967(a,1,2)),flip(a)]. 1986 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(220,a,1353,a(flip),b,1982,a),flip(a)]. 1987 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1213(a,1),1979(a,1,1)),flip(a)]. 1988 (x * ((y * (x \ 1)) / y)) * y = x * (y * ((x \ y) / y)). [para(17(a,1),1980(a,1,2,2,1)),flip(a)]. 1989 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1986(a,2,1,2,1))]. 1990 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(346(a,2),1986(a,2,1,2,1)),flip(a)]. 1991 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(905(a,1),1989(a,1,2,1))]. 1992 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(20,a,1868,a,b,1991,a),flip(a)]. 1994 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1760(a,2),1991(a,2,1))]. 1995 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1992(a,1),919(a,1,1))]. 1996 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1994(a,1),1523(a,1,2))]. 1997 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1996(a,1),22(a,1))]. 1998 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(220,a,911,a(flip),b,1995,a(flip))]. 1999 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(220,a,120,a(flip),b,1995,a(flip))]. 2000 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(1999(a,2),915(a,1))]. 2005 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1977(a,1),1981(a,1,2)),flip(a)]. 2006 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1353(a,2),2005(a,1,1))]. 2007 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1213(a,1),1987(a,1,2)),flip(a)]. 2008 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2007,a)]. 2009 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2008(a,1),730(a,1,1))]. 2010 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(220,a,219,a(flip),b,2009,a(flip))]. 2011 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2010(a,1),588(a,1,1))]. 2012 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(220,a,120,a(flip),b,2011,a(flip))]. 2013 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(220,a,29,a,b,2012,a),flip(a)]. 2014 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),2013(a,2,1,2)),flip(a)]. 2015 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2014(a,1),19(a,1,1))]. 2017 x / (1 / (1 / x)) = K(x,1 / x). [para(1029(a,1),2014(a,1,1))]. 2018 K(x,1 / x) * (1 / (1 / x)) = x. [para(2017(a,1),19(a,1,1))]. 2019 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,2018,a)]. 2020 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1758(a,1),2018(a,1,1))]. 2021 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2019(a,1),43(a,2,1))]. 2022 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(78,a,2020,a)]. 2023 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(2020(a,1),31(a,2,2,2))]. 2024 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2020(a,1),105(a,2,1))]. 2025 T(1 / x,K(y,x)) = 1 / x. [hyper(161,a,2015,a)]. 2026 K(1 / x,K(y,x)) = 1. [hyper(39,a,2025,a)]. 2027 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2025(a,1),175(a,1,1)),flip(a)]. 2028 K(x,K(y,x \ 1)) = 1. [para(63(a,1),2026(a,1,1))]. 2029 T(x,K(y,x \ 1)) = x. [hyper(40,a,2028,a)]. 2030 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2029(a,1),172(a,1,2,1)),flip(a)]. 2031 T(x \ 1,K(y,x)) = x \ 1. [hyper(220,a,120,a(flip),b,2027,a)]. 2033 ((x \ 1) * K(y,x)) / (x \ 1) = K(y,x). [para(2031(a,1),135(a,1,2))]. 2034 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2031(a,1),300(a,2,1))]. 2035 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2031(a,1),1612(a,1,1)),flip(a)]. 2037 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(220,a,859,a,b,2021,a(flip)),flip(a)]. 2038 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(17(a,1),2034(a,1,1,1))]. 2039 T(x \ y,K(z,y \ x)) = x \ y. [hyper(220,a,298,a(flip),b,2038,a)]. 2040 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2039(a,1),118(a,1,2))]. 2041 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(220,a,1775,a(flip),b,2030,a(flip))]. 2045 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2037(a,1),17(a,1,2))]. 2046 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1853,a,2041,a)]. 2047 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1758(a,1),2045(a,1,1))]. 2048 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(220,a,1477,a(flip),b,2046,a)]. 2049 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2022(a,2),2047(a,1,2,1))]. 2050 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2049(a,1),1068(a,1,1))]. 2051 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1791(a,1),2050(a,1,2))]. 2052 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1791(a,1),2051(a,2,1,2))]. 2053 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1740(a,1),2052(a,2,1))]. 2055 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(220,a,392,a(flip),b,1140,a)]. 2056 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(834(a,1),2055(a,2,2))]. 2057 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2056(a,1),1185(a,1,1)),flip(a)]. 2058 ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). [para(118(a,1),1510(a,2,2))]. 2059 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(628(a,1),1510(a,1,1)),flip(a)]. 2060 ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). [para(119(a,2),2058(a,2,2,1,2,1))]. 2061 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1133(a,1),1594(a,1,1))]. 2062 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(930(a,1),2061(a,1,1))]. 2063 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1590(a,1),2062(a,1,2))]. 2064 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(220,a,43,a,b,2063,a(flip)),flip(a)]. 2065 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1587(a,1),2064(a,1,1))]. 2066 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(220,a,930,a,b,2065,a(flip)),flip(a)]. 2067 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2065(a,1),1409(a,1,2))]. 2068 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(220,a,1595,a(flip),b,2066,a(flip))]. 2069 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1098(a,1),1899(a,2,2))]. 2070 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(220,a,1310,a(flip),b,1946,a(flip)),flip(a)]. 2071 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(220,a,183,a(flip),b,2069,a)]. 2072 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1763(a,1),2071(a,1,1)),flip(a)]. 2073 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(118(a,1),2072(a,1,1)),flip(a)]. 2074 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(626(a,1),2070(a,1,2)),flip(a)]. 2077 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(35(a,2),1217(a,1,1,2,2,1,2)),flip(a)]. 2079 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),1431(a,2,2))]. 2080 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(59(a,1),1506(a,1,1)),flip(a)]. 2081 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(118(a,1),2080(a,1,1))]. 2083 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),2081(a,1,1,1)),flip(a)]. 2085 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2083(a,2),23(a,1))]. 2086 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1581(a,1),1583(a,1,2)),flip(a)]. 2087 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(220,a,16,a(flip),b,2086,a)]. 2089 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(810(a,1),2087(a,1,1,2)),flip(a)]. 2090 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(825(a,2),2087(a,1,1,2)),flip(a)]. 2091 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(965,a,2089,a),flip(a)]. 2092 K(x,y) / (y \ 1) = y * K(x,y). [hyper(853,a,2090,a)]. 2095 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(66(a,1),2092(a,1,2)),flip(a)]. 2103 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(985(a,1),1714(a,1,2,1)),flip(a)]. 2104 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(71,a,58,a(flip),b,2103,a),flip(a)]. 2106 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1250(a,2),1846(a,2,2,1))]. 2109 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(209,a,1960,a)]. 2111 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(19(a,1),1973(a,2,2,1,2,1))]. 2112 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2111,a)]. 2113 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(14(a,1),2112(a,1,1,2,1,2,2)),flip(a)]. 2114 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2031(a,1),2035(a,2,2,1,1))]. 2115 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(220,a,810,a(flip),b,2114,a)]. 2117 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(810(a,1),2115(a,1,1))]. 2118 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2117(a,1),634(a,1,1)),flip(a)]. 2119 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(220,a,633,a,b,2118,a)]. 2120 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),2119(a,1,1))]. 2121 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,2120,a)]. 2122 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2120(a,1),118(a,1,2)),flip(a)]. 2124 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2120(a,1),213(a,1,2))]. 2126 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2121(a,1),213(a,1,2))]. 2127 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2121(a,1),171(a,1,2,1)),flip(a)]. 2132 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1763(a,1),2048(a,1,1))]. 2133 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(874(a,1),2132(a,1,2))]. 2134 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2056(a,1),2057(a,1,2,1)),flip(a)]. 2135 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(315,a,2073,a),flip(a)]. 2137 T(x * ((1 / x) * ((1 / x) \ (x \ (y * K(x,x \ 1))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),2079(a,1,1,2,2,2,2,2))]. 2138 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(59(a,1),2137(a,1,1))]. 2139 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(856,a,2138,a),flip(a)]. 2140 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(120(a,1),2138(a,2,1))]. 2142 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(220,a,1876,a(flip),b,2140,a(flip)),flip(a)]. 2144 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(66(a,1),2142(a,1,2,2,2)),flip(a)]. 2145 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(814,a,2139,a)]. 2146 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(364(a,1),2139(a,1,1,1)),flip(a)]. 2147 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(16(a,1),2145(a,1,2,1)),flip(a)]. 2148 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2147(a,2),1854(a,1,2))]. 2149 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(364(a,1),2146(a,1,1)),flip(a)]. 2150 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2149(a,2),1099(a,1,2))]. 2151 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(213,a,2148,a)]. 2153 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2151(a,2),22(a,1)),flip(a)]. 2156 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(213,a,2150,a)]. 2157 L(x,y,K(x \ 1,x)) = x. [hyper(388,a,2156,a)]. 2158 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2157(a,1),43(a,2,1))]. 2159 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1580,a,2158,a)]. 2160 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(865(a,1),2159(a,1,2)),flip(a)]. 2161 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(330(a,1),2144(a,1,1)),flip(a)]. 2162 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1786(a,1),2161(a,1,2,2))]. 2163 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2135(a,2),2162(a,1,2))]. 2164 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(462,a,2163,a),flip(a)]. 2165 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1763(a,1),2164(a,1,2))]. 2166 R(x,y,K(x \ 1,x)) = x. [hyper(418,a,2165,a)]. 2167 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2166(a,1),216(a,1,1))]. 2170 (x * y) * R((x * y) \ (y * z),u,w) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(748(a,1),745(a,1,2))]. 2171 x * (R(1 / T(y,x),z,u) * T(y,x)) = (y * x) * R((y * x) \ x,z,u). [para(15(a,1),2170(a,1,2,1,2)),flip(a)]. 2172 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(542(a,1),2171(a,1,2))]. 2173 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(160,a,1647,a(flip),b,2172,a),flip(a)]. 2174 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(220,a,554,a,b,2173,a(flip))]. 2175 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(812(a,1),2174(a,2,1,2))]. 2176 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1456(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(21,a,1614,a(flip),b,2176,a)]. 2179 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2177(a,1),120(a,1,1))]. 2180 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(220,a,1630,a(flip),b,2179,a(flip))]. 2182 (x \ T(x,y)) * (T(x,y) \ 1) = x \ 1. [para(2180(a,1),17(a,1,2))]. 2183 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(815(a,1),2180(a,1,1))]. 2184 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2180(a,1),1570(a,1,2,2))]. 2185 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(2182(a,1),209(a,1,2)),flip(b)]. 2186 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(78,a,2184,a),flip(a)]. 2188 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(66(a,1),2183(a,1,2))]. 2189 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2188(a,1),63(a,1,2))]. 2190 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1246(a,2),2188(a,1,1))]. 2191 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1410(a,1),1262(a,2,1))]. 2192 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1414(a,1),2191(a,2,1,1))]. 2193 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(220,a,33,a,b,2192,a),flip(a)]. 2194 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2192(a,2),429(a,1))]. 2195 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2193,a),flip(a)]. 2196 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(60(a,1),2193(a,2,1,2))]. 2197 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(989(a,1),2193(a,2,1,2))]. 2198 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1246(a,1),2194(a,1))]. 2199 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(213,a,2195,a),flip(a)]. 2200 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2196(a,1),114(a,1,1))]. 2201 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(747,a,1270,a),flip(a)]. 2202 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(628(a,1),2201(a,2,2))]. 2203 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(388,a,2202,a)]. 2205 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2203,a),flip(a)]. 2206 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(60(a,1),2203(a,2,1,2))]. 2207 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(257(a,1),2203(a,1,1)),flip(a)]. 2208 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(810(a,1),2203(a,1,1))]. 2209 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1932(a,2),2207(a,1,1))]. 2210 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2157(a,1),2209(a,1,1,1,2)),flip(a)]. 2211 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(120(a,1),2210(a,2,1))]. 2212 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2211(a,1),103(a,1,2))]. 2213 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(18(a,1),2208(a,2,1,2))]. 2215 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(160,a,2212,a,b,xx)]. 2217 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(220,a,1941,a(flip),b,1925,a(flip)),flip(a)]. 2219 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2217(a,1),720(a,1,1)),flip(a)]. 2220 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(220,a,531,a(flip),b,2219,a)]. 2221 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(220,a,1926,a(flip),b,2220,a(flip))]. 2223 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1534(a,1),1043(a,1,1))]. 2224 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(740(a,1),1089(a,1,2)),flip(a)]. 2225 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),1279(a,1,2,1,1))]. 2226 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2205(a,1),1623(a,1,1))]. 2227 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(257(a,1),2226(a,1,1,1))]. 2228 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,1),2227(a,1,2))]. 2229 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(220,a,43,a,b,2228,a(flip)),flip(a)]. 2230 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1297(a,1),2229(a,2,1))]. 2231 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1912(a,1,1))]. 2232 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2231(a,1,2,1,1))]. 2235 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(220,a,1821,a(flip),b,2225,a)]. 2236 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(873(a,1),2235(a,2,1))]. 2237 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(220,a,425,a(flip),b,702,a)]. 2238 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(867,a,2237,a)]. 2239 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1442(a,1),2238(a,2,1,1))]. 2240 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(17(a,1),1597(a,1,2,1)),flip(a)]. 2242 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),1694(a,1,2,1)),flip(a)]. 2246 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(220,a,1846,a(flip),b,2106,a(flip))]. 2247 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2190(a,1),2246(a,1,2))]. 2248 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(220,a,1606,a(flip),b,2247,a(flip))]. 2249 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1834(a,1),2213(a,1,1,2)),flip(a)]. 2250 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(55(a,1),2249(a,2,1))]. 2251 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(220,a,381,a(flip),b,2250,a)]. 2254 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2251(a,1),234(a,1,2)),flip(a)]. 2255 ((x * L(x \ 1,y,z)) \ x) \ x = x * L(x \ 1,y,z). [hyper(71,a,15,a(flip),b,2254,a)]. 2256 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2255(a,1),86(a,1,2)),flip(b)]. 2257 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1665(a,1),1360(a,1,2,1))]. 2258 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(18(a,1),2257(a,1,2)),flip(a)]. 2260 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2189(a,1),1273(a,1,1,2))]. 2261 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(833(a,1),2260(a,1,1,2)),flip(a)]. 2262 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(838(a,1),2261(a,2,1))]. 2263 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(586(a,1),2262(a,1,1))]. 2264 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(714(a,1),1578(a,2,1))]. 2265 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(220,a,2224,a(flip),b,2264,a)]. 2266 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1950(a,1),1579(a,2,2,1))]. 2267 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(18(a,1),2266(a,2,2))]. 2268 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(220,a,2265,a(flip),b,2267,a(flip)),flip(a)]. 2270 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2268(a,1),17(a,1,2))]. 2271 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((1 / x) \ y,z,u)). [para(1764(a,1),1777(a,2,2,2,1,1))]. 2272 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * (R(y * x,z,u) / x). [para(983(a,1),2271(a,2,2))]. 2273 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(931(a,1),1990(a,2,2,1))]. 2274 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1361(a,1),2273(a,1,1)),flip(a)]. 2275 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(220,a,1552,a(flip),b,2274,a(flip)),flip(a)]. 2276 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(220,a,1758,a(flip),b,2275,a(flip)),flip(a)]. 2277 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,1903,a,b,2276,a),flip(a)]. 2278 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1760,a(flip),b,2277,a)]. 2279 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,2248,a(flip),b,2277,a(flip)),flip(a)]. 2280 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2278(a,1),17(a,1,2))]. 2281 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(191(a,1),2278(a,1,2))]. 2282 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(220,a,2263,a(flip),b,2279,a(flip))]. 2283 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1164(a,1),2281(a,1,1))]. 2284 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(2185,a,2283,a),flip(a)]. 2285 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2284(a,1),66(a,1,1)),flip(a)]. 2287 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(256(a,1),2284(a,1,2,1)),flip(a)]. 2288 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(220,a,560,a(flip),b,2285,a(flip))]. 2290 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2287(a,1),63(a,1,2))]. 2291 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(66(a,1),2288(a,2,1,1))]. 2292 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2288(a,2),118(a,1,2))]. 2293 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(120(a,1),2288(a,1,1,1)),flip(a)]. 2295 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(220,a,1740,a,b,2290,a(flip)),flip(a)]. 2297 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(629,a,2292,a)]. 2298 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(120(a,1),2292(a,1,2,1,1)),flip(a)]. 2299 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(441(a,1),2292(a,1,2,1,1)),flip(a)]. 2300 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(220,a,119,a,b,2297,a)]. 2301 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(220,a,912,a,b,2297,a(flip)),flip(a)]. 2302 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2293(a,1),155(a,1,1,2))]. 2306 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2301(a,1),17(a,1,2))]. 2308 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(573,a,2306,a)]. 2309 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1087,a,2298,a)]. 2312 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2309(a,2,1,1))]. 2313 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2312(a,2),255(a,1))]. 2314 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2313,a,1807,a),flip(a)]. 2315 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2314(a,1),118(a,1,2))]. 2318 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. [para(628(a,1),2060(a,1,1)),flip(a)]. 2319 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. [para(792(a,1),2318(a,2,1,2))]. 2320 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. [para(99(a,1),2319(a,2,1,2))]. 2321 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1166(a,1,2,1,1))]. 2322 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(867,a,2321,a),flip(a)]. 2323 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(860(a,1),2322(a,2,2))]. 2324 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(388,a,2323,a),flip(a)]. 2325 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(220,a,981,a(flip),b,2324,a(flip))]. 2326 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1845(a,1),2325(a,1,1,2)),flip(a)]. 2327 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(220,a,2206,a(flip),b,2326,a)]. 2328 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,179,a(flip),b,2327,a)]. 2330 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(66(a,1),2328(a,1,1))]. 2331 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(874(a,1),2330(a,1,2))]. 2332 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2331(a,1),19(a,1,1))]. 2333 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2256,a,2332,a)]. 2334 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1916(a,1),2333(a,1,1)),flip(a)]. 2335 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(220,a,1967,a(flip),b,1971,a)]. 2336 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1448(a,1),2197(a,1,1,2,1))]. 2337 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1675(a,1),2336(a,1,1,2)),flip(a)]. 2339 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(31(a,2),1347(a,2,2,1,1))]. 2340 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(863(a,1),2339(a,1,2))]. 2341 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(739(a,1),2340(a,1,2,2))]. 2342 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(396,a,2341,a),flip(a)]. 2344 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(642(a,1),2342(a,2,1,2))]. 2345 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1924(a,1),2342(a,1,2))]. 2346 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1301(a,1),2344(a,1,2))]. 2347 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(141(a,1),2346(a,2,1,2))]. 2348 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1760(a,2),2347(a,2,1))]. 2350 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(15(a,1),2345(a,1,2,2)),flip(a)]. 2351 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2221(a,1),2350(a,1,1)),flip(a)]. 2352 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(33(a,2),1365(a,2,2,1,1))]. 2353 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1643(a,1),2352(a,1,1))]. 2354 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1647(a,1),2353(a,1,1,1))]. 2355 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(429,a,2354,a),flip(a)]. 2356 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(220,a,992,a(flip),b,2355,a(flip))]. 2357 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(553(a,1),2355(a,2,1,2))]. 2358 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,2357,a(flip))]. 2359 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(14(a,1),2358(a,1,1,2,1)),flip(a)]. 2360 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1677(a,1),2356(a,1,1,2)),flip(a)]. 2361 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,2199,a(flip),b,2360,a)]. 2363 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(114(a,1),1368(a,1,1,1,2,2)),flip(a)]. 2364 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(220,a,720,a(flip),b,2363,a)]. 2365 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(220,a,1964,a(flip),b,2364,a)]. 2366 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(720(a,1),2365(a,1,1))]. 2367 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1977(a,1),2366(a,2,1))]. 2368 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,114,a,b,2367,a)]. 2369 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1354,a,2368,a),flip(a)]. 2370 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2368(a,1,2,1)),flip(a)]. 2371 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,1760,a,b,2370,a)]. 2372 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(987(a,1),2371(a,1,1,2,1))]. 2373 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1393(a,1,2,1,2,1))]. 2374 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(220,a,1060,a(flip),b,2373,a(flip))]. 2375 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1390(a,1),2374(a,2,2))]. 2376 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(388,a,2375,a),flip(a)]. 2377 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,2375,a)]. 2378 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2376(a,1,2,1)),flip(a)]. 2379 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,1760,a,b,2378,a)]. 2380 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1926(a,1),2379(a,1,1))]. 2381 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,2351,a,b,2380,a(flip)),flip(a)]. 2382 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1760,a(flip),b,2381,a)]. 2383 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(220,a,2334,a,b,2382,a(flip)),flip(a)]. 2384 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2383(a,1),63(a,1,2)),flip(a)]. 2385 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(63(a,1),2383(a,1,1,1,2)),flip(a)]. 2387 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(217(a,1),2384(a,2,2,2))]. 2389 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2385(a,1),66(a,1,1))]. 2390 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(150(a,1),2385(a,1,2)),flip(a)]. 2391 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2390(a,1),63(a,1,2)),flip(a)]. 2392 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(17(a,1),2391(a,2,2,2,1))]. 2393 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(63(a,1),2391(a,1,1))]. 2395 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(220,a,2270,a,b,2392,a(flip)),flip(a)]. 2396 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2392(a,1),694(a,1,1))]. 2397 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(20,a,1740,a,b,2395,a),flip(a)]. 2398 (x \ (x * y)) * K(L(y \ 1,y,x),x \ (x * y)) = 1 / (1 / (x \ (x * y))). [para(150(a,2),2395(a,1,2,1))]. 2399 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(220,a,580,a(flip),b,2397,a)]. 2400 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(160,a,2396,a,b,xx)]. 2401 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(21,a,1843,a,b,2396,a),flip(a)]. 2403 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1251(a,2),2400(a,1,1,2,2))]. 2404 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2400(a,1),2287(a,1,1)),flip(a)]. 2405 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),2404(a,1,2,2))]. 2406 1 / T(K(x,y),(x * y) \ (y * x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2404(a,1,2,1))]. 2407 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(2404(a,1),66(a,1,1)),flip(a)]. 2408 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(66(a,1),2404(a,1,2,2))]. 2409 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2407(a,1),1170(a,1,2)),flip(a)]. 2410 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1251(a,2),2407(a,1,1))]. 2411 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2407(a,2),2302(a,1,1,2))]. 2412 ((x \ (x / y)) \ 1) \ 1 != z | T(x \ (x / y),y) = z. [para(2408(a,1),207(a,1,1)),flip(b)]. 2413 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2401(a,1),1898(a,1,2)),flip(a)]. 2414 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(583,a,2411,a)]. 2415 T(x / y,y / x) = T(x / y,x \ y). [hyper(220,a,1800,a,b,2414,a),flip(a)]. 2418 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2415(a,1),175(a,1,1))]. 2419 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(220,a,175,a(flip),b,2418,a(flip))]. 2420 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(220,a,2407,a(flip),b,2419,a)]. 2421 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(63(a,1),2420(a,1,2))]. 2425 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2399(a,1),1172(a,1,2))]. 2427 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2397(a,1),2409(a,1,2))]. 2428 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2387(a,1),103(a,1,2))]. 2429 1 / T(K(x,y),K(y,x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2406(a,1,2,2))]. 2430 1 / T(K(x,y),K(y,x)) = K(x,y) \ 1. [para(29(a,2),2429(a,2,1))]. 2432 1 / K(x,y) = K(x,y) \ 1. [para(2120(a,1),2430(a,1,2))]. 2433 (K(x,y) \ 1) * K(x,y) = 1. [para(2432(a,1),19(a,1,1))]. 2434 1 / (1 / K(x,y)) = K(x,y). [para(2432(a,2),63(a,1,2))]. 2435 (K(x,y) \ 1) \ 1 = K(x,y). [para(2432(a,1),66(a,1,1))]. 2439 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2434(a,1),2287(a,1,1,1)),flip(a)]. 2442 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2434(a,1),2403(a,1,1))]. 2443 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(220,a,2442,a(flip),b,2410,a(flip))]. 2444 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2443(a,1),63(a,1,2))]. 2445 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(220,a,2186,a,b,2444,a),flip(a)]. 2446 x * K(L(x \ 1,x,y),y \ (y * x)) = 1 / (1 / (y \ (y * x))). [para(16(a,1),2398(a,1,1))]. 2447 1 / (1 / (x \ (x * y))) = y * K(L(y \ 1,y,x),y). [para(16(a,1),2446(a,1,2,2)),flip(a)]. 2448 x * K(L(x \ 1,x,y),x) = 1 / (1 / x). [para(16(a,1),2447(a,1,2,2)),flip(a)]. 2449 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(20,a,1740,a,b,2448,a)]. 2450 K((x * y) \ x,y) = K(y \ 1,y). [para(150(a,1),2449(a,1,1))]. 2452 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(118(a,1),2450(a,1,1,1)),flip(a)]. 2453 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [para(2450(a,1),98(a,1,2))]. 2455 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(35(a,1),2452(a,2,2)),flip(a)]. 2456 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(220,a,295,a,b,2453,a)]. 2458 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2455(a,1),2427(a,1,2)),flip(a)]. 2459 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(220,a,1895,a,b,2456,a)]. 2460 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,2133,a,b,2459,a),flip(a)]. 2461 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(179(a,1),2460(a,1,1))]. 2462 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,1869,a,b,2461,a(flip)),flip(a)]. 2463 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(21,a,2453,a(flip),b,2462,a),flip(a)]. 2464 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(150(a,1),2463(a,2,2,2)),flip(a)]. 2465 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(220,a,15,a,b,2464,a)]. 2467 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1947,a,2465,a(flip))]. 2468 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2467,a(flip),b,2074,a(flip)),flip(a)]. 2470 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(220,a,119,a,b,2468,a)]. 2471 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2468,a(flip),b,1955,a),flip(a)]. 2474 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(220,a,1761,a(flip),b,2471,a)]. 2476 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),2474(a,1,2,1)),flip(a)]. 2477 K(x,y \ (y / x)) = K(x,x \ 1). [para(19(a,1),2474(a,1,2,1))]. 2479 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2474(a,1),2425(a,1,2))]. 2481 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(220,a,581,a,b,2477,a(flip)),flip(a)]. 2483 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2476(a,1),2413(a,1,2))]. 2484 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2468(a,1),2479(a,2,2))]. 2485 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2470(a,1),2479(a,2,2))]. 2487 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(271,a,2484,a),flip(a)]. 2488 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(220,a,1874,a,b,2484,a(flip)),flip(a)]. 2489 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(118(a,1),2484(a,1,1))]. 2491 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(271,a,2485,a),flip(a)]. 2492 x * K(x,x \ 1) = T(x,x \ 1). [hyper(2153,a,2485,a(flip))]. 2493 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(71,a,2485,a(flip),b,1874,a)]. 2494 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(220,a,2300,a,b,2492,a),flip(a)]. 2495 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2492(a,1),33(a,2,1,1)),flip(a)]. 2496 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1997,a,2494,a)]. 2497 T(x,K(y,y \ 1)) = x. [hyper(38,a,2496,a)]. 2498 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2496,a(flip),b,1994,a)]. 2499 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2496(a,1),118(a,1,2)),flip(a)]. 2501 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2496(a,1),213(a,1,2))]. 2505 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2497(a,1),162(a,1,2))]. 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2497(a,1),213(a,1,2))]. 2508 T(x,K(y \ 1,y)) = x. [para(1763(a,1),2497(a,1,2))]. 2513 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2085,a,2508,a),flip(a)]. 2515 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(38,a,2508,a)]. 2516 (x * K(y \ 1,y)) / x = K(y \ 1,y). [hyper(72,a,2215,a(flip),b,2508,a(flip))]. 2518 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2508(a,1),213(a,1,2))]. 2521 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(220,a,1619,a,b,2515,a(flip)),flip(a)]. 2522 T((x \ 1) * x,y) = K(x \ 1,x). [para(179(a,1),2515(a,1,1))]. 2523 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2515(a,1),213(a,1,2))]. 2525 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2515(a,1),2230(a,1,1))]. 2526 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(220,a,2485,a(flip),b,2499,a)]. 2527 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(220,a,2484,a(flip),b,2499,a)]. 2528 (K(x,x \ 1) * y) / z = (y * K(x,x \ 1)) / z. [hyper(72,a,2499,a,b,19,a)]. 2530 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2499(a,2),33(a,2,2)),flip(a)]. 2531 R(x,K(y,y \ 1),z) * (K(y,y \ 1) * z) = (K(y,y \ 1) * x) * z. [para(2499(a,2),114(a,2,1))]. 2533 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,y,K(z \ 1,z)). [hyper(71,a,2513,a,b,94,a)]. 2534 (K(x \ 1,x) * y) * z = (y * K(x \ 1,x)) * z. [hyper(25,a,2513,a)]. 2535 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(24,a,2513,a)]. 2537 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2513(a,1),22(a,2))]. 2539 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2513(a,2),537(a,1,1))]. 2540 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2513(a,1),654(a,1,2))]. 2541 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * T(y,K(z \ 1,z))) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2513(a,2),163(a,1,2,1))]. 2542 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2515(a,2),2513(a,2,2)),flip(a)]. 2543 K(x \ (x / ((y * x) / y)),x) = K(x \ 1,x). [hyper(220,a,1276,a,b,2516,a(flip)),flip(a)]. 2544 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2516(a,1),271(a,1,1,1))]. 2547 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2521(a,1),1252(a,1,1))]. 2548 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2521(a,2),1740(a,1,2))]. 2549 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2288(a,1),2487(a,1,2))]. 2550 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2306,a(flip),b,2488,a),flip(a)]. 2552 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2488(a,1),23(a,1))]. 2554 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1768(a,2),2488(a,2,2))]. 2555 L(x,K(x,x \ 1),y) = x. [hyper(1783,a,2493,a)]. 2557 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2555(a,1),2384(a,2,2,2))]. 2559 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(220,a,1801,a(flip),b,2526,a)]. 2562 K(x,x \ 1) * (y * x) != z | y * T(x,x \ 1) = z. [para(2527(a,2),573(a,1))]. 2563 L(K(x \ 1,x),y,z) * (z * y) = z * (K(x \ 1,x) * y). [para(2542(a,1),526(a,1,2)),flip(a)]. 2567 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(220,a,2023,a(flip),b,2557,a(flip)),flip(a)]. 2569 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2567(a,1),266(a,1,2)),flip(a)]. 2572 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2481(a,1),2483(a,1,2))]. 2575 x \ ((K(y \ 1,y) * z) * u) = x \ ((z * K(y \ 1,y)) * u). [hyper(71,a,2534,a,b,17,a)]. 2576 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [hyper(71,a,2534,a(flip),b,103,a)]. 2577 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2534(a,2),31(a,2,1)),flip(a)]. 2580 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(20,a,1909,a,b,2550,a),flip(a)]. 2581 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(220,a,2496,a,b,2580,a),flip(a)]. 2583 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2581(a,1),146(a,1)),flip(b)]. 2584 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2282(a,1),2581(a,1,1))]. 2585 R(x,K(y,y \ 1),y) = x. [hyper(418,a,2554,a)]. 2586 R(x,K(y \ 1,y),1 / y) = x. [para(1763(a,1),2585(a,1,2))]. 2587 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2586(a,1),1744(a,1,1)),flip(a)]. 2588 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(72,a,19,a(flip),b,2587,a),flip(a)]. 2589 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,1155,a(flip),b,2587,a)]. 2591 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2523,a,2588,a)]. 2593 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1531,a,2589,a)]. 2594 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1022,a,2589,a)]. 2596 R(x / (1 / y),y \ 1,y) = x * y. [hyper(984,a,2593,a)]. 2597 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(876,a,2593,a),flip(a)]. 2598 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2593(a,1),19(a,1,1))]. 2599 R((x * (y / (1 / z))) / x,z \ 1,z) = (x * (y * z)) / x. [hyper(220,a,732,a(flip),b,2597,a(flip))]. 2603 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2014(a,1),2596(a,1,1)),flip(a)]. 2605 R(x / (1 / y),y \ 1,y) != z | x * y = z. [para(2598(a,1),271(a,1))]. 2606 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2587(a,1),2598(a,1,1)),flip(a)]. 2608 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1005(a,1),2606(a,2,1))]. 2610 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(220,a,2569,a(flip),b,2572,a(flip))]. 2611 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2569,a(flip),b,2572,a(flip)),flip(a)]. 2613 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(63(a,1),2610(a,1,2,2,2,2)),flip(a)]. 2614 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(63(a,1),2611(a,2,2,2,2))]. 2615 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2611(a,1),66(a,1,1))]. 2618 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2613(a,2,2,2,2))]. 2620 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(136(a,1),2615(a,1,1,2,2)),flip(a)]. 2622 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2393(a,2),2618(a,1,2))]. 2623 x / L(y,y \ 1,x) = x * (1 / y). [para(63(a,1),2622(a,2,2,2))]. 2625 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2623(a,1),66(a,1,1)),flip(a)]. 2626 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2623(a,2),580(a,1,1,2))]. 2628 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(220,a,153,a,b,2625,a),flip(a)]. 2629 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(220,a,2203,a,b,2626,a(flip)),flip(a)]. 2630 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(66(a,1),2629(a,1,2))]. 2632 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2620(a,1),66(a,1,1))]. 2633 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(2412,a,2632,a)]. 2634 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2633(a,2),17(a,1,2))]. 2637 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(220,a,973,a,b,2634,a(flip)),flip(a)]. 2638 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2637(a,1),1527(a,1,1))]. 2639 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2638(a,1,1)),flip(a)]. 2640 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(568(a,1),2638(a,1,1)),flip(a)]. 2641 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1067(a,1),2638(a,1,1)),flip(a)]. 2642 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(21,a,428,a,b,2639,a)]. 2643 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(21,a,1529,a(flip),b,2639,a)]. 2644 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2523,a,2640,a)]. 2645 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2640(a,1),23(a,1)),flip(a)]. 2646 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2640(a,1),2587(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2552,a,2643,a)]. 2648 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2488,a(flip),b,2643,a)]. 2649 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [hyper(220,a,2534,a,b,2643,a(flip)),flip(a)]. 2650 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2501,a,2647,a)]. 2652 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(21,a,2569,a,b,2647,a)]. 2653 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(21,a,2499,a(flip),b,2647,a)]. 2655 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(220,a,2534,a,b,2647,a(flip)),flip(a)]. 2656 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(71,a,2647,a(flip),b,2534,a)]. 2657 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(21,a,2534,a,b,2647,a(flip)),flip(a)]. 2660 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2589(a,1),2647(a,1,1))]. 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2648(a,1),2537(a,2)),flip(b)]. 2666 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(220,a,2535,a,b,2650,a(flip)),flip(a)]. 2667 K(x \ 1,x) * (y * K(x,x \ 1)) = T(y,K(x,x \ 1)). [hyper(160,a,2650,a(flip),b,2535,a),flip(a)]. 2668 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(71,a,2650,a(flip),b,2535,a)]. 2669 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(20,a,2535,a,b,2650,a(flip)),flip(a)]. 2671 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2650(a,1),105(a,2,2))]. 2673 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2589(a,1),2650(a,1,2))]. 2674 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(71,a,2653,a(flip),b,2513,a)]. 2675 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2653(a,1),23(a,1)),flip(a)]. 2677 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2653(a,1),2537(a,2)),flip(b)]. 2678 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2653(a,1),2587(a,1,1)),flip(a)]. 2679 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(21,a,1813,a(flip),b,2655,a)]. 2683 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2655(a,1),2505(a,2))]. 2688 K(x,x \ 1) * R(K(x \ 1,x) * (x * y),z,u) = x * (R(y * x,z,u) / x). [para(2668(a,1),2272(a,1,2,1))]. 2690 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2674(a,1),2236(a,1,2,1))]. 2693 (x * (1 / (1 / y))) / y = x * K(y \ 1,y). [para(18(a,1),2652(a,1,1)),flip(a)]. 2697 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2660(a,1),421(a,1,1))]. 2699 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(19(a,1),2673(a,1,2)),flip(a)]. 2700 (x * y) * K(y \ 1,y) = x * L(y,y \ 1,y). [hyper(220,a,1936,a(flip),b,2693,a(flip))]. 2701 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(431,a,2642,a)]. 2703 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(220,a,2597,a,b,2701,a)]. 2704 (x * (y \ 1)) * T(y,y \ 1) = R(x,1 / y,y). [hyper(781,a,2703,a)]. 2705 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1452(a,2),2703(a,1,3))]. 2707 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,1805,a(flip),b,2679,a)]. 2708 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1746(a,1),2700(a,2,2))]. 2711 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2523,a,2708,a)]. 2713 R(x / (y \ 1),1 / y,y) = x * T(y,y \ 1). [hyper(271,a,2704,a),flip(a)]. 2714 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2713(a,1),177(a,1,1))]. 2715 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2315(a,1),2646(a,1,1)),flip(a)]. 2717 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(220,a,2275,a,b,2584,a(flip))]. 2720 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(21,a,1768,a,b,2707,a),flip(a)]. 2721 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y \ 1,y) \ 1. [para(2720(a,1),1789(a,2,1))]. 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2583,a,2717,a)]. 2724 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(191(a,1),2722(a,2,2))]. 2725 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(220,a,2282,a(flip),b,2724,a(flip)),flip(a)]. 2732 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(833(a,1),2630(a,1,1))]. 2733 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(220,a,716,a(flip),b,2732,a(flip))]. 2734 T(K(1 / (1 / x),y),x) = K(x,y). [para(2733(a,2),154(a,1,1))]. 2736 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(191(a,1),2734(a,1,1,1,2))]. 2737 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(63(a,1),2736(a,1,1,1))]. 2738 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(220,a,1634,a(flip),b,2737,a(flip))]. 2739 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(119(a,1),2738(a,1,1)),flip(a)]. 2744 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2282(a,1),2489(a,1,2))]. 2745 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(220,a,2292,a(flip),b,2744,a)]. 2746 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2725(a,1),2745(a,1,2))]. 2747 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(63(a,1),2705(a,2,2))]. 2748 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(119(a,2),2747(a,1,2))]. 2750 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(192(a,1),2549(a,1,1)),flip(a)]. 2751 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y,y \ 1). [hyper(220,a,339,a(flip),b,2721,a)]. 2752 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(220,a,1765,a(flip),b,2751,a(flip)),flip(a)]. 2753 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2752(a,1),1799(a,1,1))]. 2754 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(555,a,2753,a),flip(a)]. 2755 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(220,a,240,a(flip),b,2753,a)]. 2756 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(220,a,1852,a(flip),b,2753,a(flip)),flip(a)]. 2757 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2753,a(flip),b,1852,a(flip))]. 2758 L(x,y,K(y,y \ 1)) = x. [hyper(20,a,1782,a,b,2753,a(flip)),flip(a)]. 2761 K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x). [para(118(a,1),2753(a,1,2))]. 2765 L(x,1 / y,K(y \ 1,y)) = x. [para(1763(a,1),2758(a,1,3))]. 2766 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(220,a,1902,a(flip),b,2765,a(flip)),flip(a)]. 2767 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(220,a,1743,a(flip),b,2765,a(flip)),flip(a)]. 2768 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1762(a,1),2765(a,1,3))]. 2769 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2765(a,1),1742(a,1,2)),flip(a)]. 2770 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2765(a,1),1816(a,1,1,2))]. 2771 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(220,a,2024,a(flip),b,2768,a(flip)),flip(a)]. 2773 (1 / x) * (x * y) = L(y,x,x \ 1). [para(16(a,1),2770(a,1,1)),flip(a)]. 2774 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(35(a,2),2770(a,1,1))]. 2775 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(331(a,1),2770(a,1,1))]. 2776 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2770(a,1),529(a,1,2))]. 2777 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(2770(a,1),508(a,1,2))]. 2778 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2770(a,1),2160(a,1,2))]. 2780 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,2773,a)]. 2781 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2773(a,1),237(a,1,1))]. 2784 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(926,a,2754,a),flip(a)]. 2785 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(592,a,2754,a)]. 2786 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(71,a,2650,a(flip),b,2754,a),flip(a)]. 2787 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2683,a,2755,a)]. 2788 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2506,a,2755,a)]. 2795 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2499(a,1),2756(a,1,2))]. 2796 R(x,K(x,x \ 1),y) = x. [hyper(220,a,2495,a(flip),b,2757,a(flip)),flip(a)]. 2798 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1763(a,1),2796(a,1,2))]. 2799 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2798(a,1),2195(a,1,1)),flip(a)]. 2800 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2677,a,2766,a)]. 2803 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2766(a,1),1900(a,1,2))]. 2806 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y. [para(2767(a,2),17(a,1,2))]. 2807 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2767(a,1),1509(a,1,2,2,1,2))]. 2808 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2677,a,2769,a)]. 2809 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2518,a,2769,a)]. 2810 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2769(a,1),33(a,2,2)),flip(a)]. 2812 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2769(a,1),390(a,1,1))]. 2815 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1855,a,2771,a)]. 2817 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2771(a,1),17(a,1,2))]. 2818 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1435(a,1),2777(a,1,2))]. 2819 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2683,a,2784,a)]. 2822 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(71,a,2666,a(flip),b,2785,a),flip(a)]. 2823 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(20,a,1098,a,b,2787,a)]. 2826 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(20,a,2746,a,b,2788,a),flip(a)]. 2828 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(220,a,2724,a,b,2826,a(flip)),flip(a)]. 2832 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(71,a,2828,a(flip),b,1760,a(flip))]. 2835 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(220,a,2498,a(flip),b,2832,a(flip)),flip(a)]. 2836 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(220,a,1772,a(flip),b,2832,a(flip)),flip(a)]. 2837 (1 / T(x,y)) * x = T(x,y) \ x. [para(2835(a,1),19(a,1,1))]. 2839 T(1 / T(x,y),x) = T(x,y) \ 1. [para(2835(a,1),911(a,1,1))]. 2840 x / T(x,y) = T(x,y) \ x. [hyper(1120,a,2837,a)]. 2842 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(71,a,2840,a,b,905,a)]. 2843 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(220,a,1544,a,b,2840,a(flip)),flip(a)]. 2844 (T(x,y) \ x) * T(x,y) = x. [para(2840(a,1),19(a,1,1))]. 2845 (T(x,y) \ x) \ x = T(x,y). [para(2840(a,1),66(a,1,1))]. 2847 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2840(a,1),1592(a,1,1))]. 2848 L(x,T(x,y) \ x,x) = x. [hyper(220,a,2068,a,b,2844,a(flip)),flip(a)]. 2849 x / T(x,y) != z | T(x,y) \ x = z. [para(2844(a,1),272(a,1,1)),flip(b)]. 2851 (x * y) * T(K(y,x),x) = y * x. [para(2848(a,1),2067(a,1,2)),flip(a)]. 2852 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(220,a,2547,a,b,2839,a(flip)),flip(a)]. 2854 K(T(x,y) \ 1,x) = T(K(x \ 1,x),y). [para(2842(a,1),1619(a,1,1))]. 2855 x * K(T(x,y) \ 1,x) = 1 / (1 / x). [para(2842(a,1),2548(a,1,2,1))]. 2856 T(K(x,y),y) = K(x,y). [hyper(236,a,2851,a),flip(a)]. 2857 T(x,K(y,x)) = x. [hyper(38,a,2856,a)]. 2858 K(x,y) * y = y * K(x,y). [para(2856(a,1),118(a,1,2)),flip(a)]. 2859 (x * K(y,x)) / x = K(y,x). [para(2856(a,1),155(a,1,1,2))]. 2862 K(x,y) * y != z | y * K(x,y) = z. [para(2857(a,1),213(a,1,2))]. 2863 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2857(a,1),171(a,1,2,1)),flip(a)]. 2865 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2857(a,1),173(a,1,2,1)),flip(a)]. 2870 T(x,y \ T(y,x)) = x. [para(1251(a,1),2857(a,1,2))]. 2871 T(x,x \ ((y * x) / y)) = x. [para(1274(a,1),2857(a,1,2))]. 2874 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2870(a,1),118(a,1,2))]. 2875 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2870(a,1),171(a,1,2,1)),flip(a)]. 2876 (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). [hyper(220,a,1554,a,b,2858,a(flip)),flip(a)]. 2879 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2858(a,1),418(a,2,2))]. 2881 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(220,a,1078,a,b,2859,a(flip)),flip(a)]. 2884 ((x * y) / x) / y = y \ ((x * y) / x). [para(2871(a,1),191(a,1,2))]. 2888 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2852(a,1),19(a,1,1))]. 2890 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(220,a,1202,a,b,2884,a(flip)),flip(a)]. 2891 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(718(a,1),2884(a,1,1)),flip(a)]. 2892 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(279,a,2888,a)]. 2893 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2888(a,1),1015(a,1,2))]. 2894 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2892(a,1),2295(a,1,2))]. 2895 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2892(a,1),2458(a,2,2))]. 2896 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2892(a,1),2711(a,1,1))]. 2901 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1237(a,1),2800(a,1,2))]. 2904 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(220,a,2513,a(flip),b,2803,a)]. 2906 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1604(a,1),2803(a,1,2)),flip(a)]. 2907 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2806(a,1),1012(a,1,2)),flip(a)]. 2909 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1859,a,2808,a)]. 2910 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,2808,a(flip),b,2699,a)]. 2911 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2808(a,1),134(a,1,1,2))]. 2912 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2808(a,1),396(a,1,2,2))]. 2914 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(872,a,2909,a)]. 2915 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(63(a,1),2914(a,1,2)),flip(a)]. 2917 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2506,a,2815,a)]. 2919 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(16(a,1),2817(a,1,2)),flip(a)]. 2921 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(220,a,559,a(flip),b,2819,a)]. 2922 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [para(139(a,1),2819(a,1,2)),flip(a)]. 2927 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1787(a,1),2822(a,1,2,1))]. 2928 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(71,a,2823,a(flip),b,2535,a(flip))]. 2929 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2823(a,1),29(a,2,1)),flip(a)]. 2931 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2865(a,1),22(a,1)),flip(a)]. 2933 (x \ 1) \ ((y * (x \ 1)) / y) = x * ((y * (x \ 1)) / y). [hyper(269,a,2890,a),flip(a)]. 2936 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2893(a,2),905(a,1,2))]. 2937 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2053,a,b,2894,a),flip(a)]. 2939 T(x,y) / x = x \ T(x,y). [hyper(78,a,2937,a),flip(a)]. 2940 (x \ T(x,y)) * x = T(x,y). [para(2937(a,1),67(a,1,1,2))]. 2941 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1084,a,2939,a)]. 2942 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(841,a,2939,a),flip(a)]. 2943 K(x \ (x / (1 / y)),x) = y \ T(y,x). [hyper(220,a,1250,a,b,2939,a(flip)),flip(a)]. 2944 (1 / x) * T(x,y) = x \ T(x,y). [hyper(220,a,834,a,b,2939,a(flip)),flip(a)]. 2945 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(220,a,1282,a(flip),b,2939,a(flip))]. 2946 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2939(a,1),214(a,1,1)),flip(b)]. 2947 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2939(a,1),115(a,1,1))]. 2948 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2939(a,1),2056(a,2,2))]. 2949 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2939(a,1),2134(a,1,1,2))]. 2950 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2939(a,1),2280(a,1,1))]. 2951 T(x,x \ T(x,y)) = x. [hyper(253,a,2940,a)]. 2952 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(220,a,1396,a,b,2940,a(flip)),flip(a)]. 2953 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2940(a,1),31(a,2,1)),flip(a)]. 2954 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(119(a,1),2940(a,1,1,2))]. 2955 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2940(a,1),103(a,1,1))]. 2956 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2940(a,1),429(a,1,1,1))]. 2957 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2940(a,1),788(a,1,1)),flip(a)]. 2958 K(x,x \ T(x,y)) = 1. [hyper(39,a,2951,a)]. 2959 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1251(a,2),2951(a,1,2))]. 2960 K(x,T(x,y) / x) = 1. [para(2939(a,2),2958(a,1,2))]. 2961 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2960,a(flip),b,969,a),flip(a)]. 2962 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(220,a,66,a(flip),b,2961,a)]. 2963 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(220,a,1286,a(flip),b,2961,a(flip)),flip(a)]. 2964 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2961(a,1),175(a,1,1)),flip(a)]. 2965 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2961(a,1),305(a,2,1))]. 2966 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2961(a,1),1253(a,1,1)),flip(a)]. 2967 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(220,a,1272,a(flip),b,2959,a(flip)),flip(a)]. 2968 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2962(a,1),1735(a,1,1)),flip(a)]. 2971 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2968(a,1),1537(a,1,1))]. 2972 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2968(a,1),2223(a,1,1,1))]. 2973 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(2943(a,1),1387(a,1,1))]. 2975 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2967(a,1),17(a,1,2))]. 2976 x / ((y * x) / y) = ((y * x) / y) \ x. [para(2967(a,1),63(a,1,2))]. 2977 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(987(a,1),2967(a,1,1,1,1))]. 2979 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(72,a,2976,a(flip),b,1201,a)]. 2980 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [para(2976(a,1),2543(a,1,1,2))]. 2983 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(155(a,1),2963(a,1,3,2))]. 2988 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(220,a,2535,a(flip),b,2907,a(flip)),flip(a)]. 2989 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2591(a,1),2907(a,1,2))]. 2992 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2644(a,1),2907(a,1,2)),flip(a)]. 2995 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(557,a,2915,a),flip(a)]. 2997 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2917(a,1),2488(a,1,1))]. 2998 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1858,a,2919,a),flip(a)]. 2999 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(20,a,2650,a,b,2919,a),flip(a)]. 3001 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2919(a,1),2678(a,1,1)),flip(a)]. 3002 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(220,a,1033,a(flip),b,2921,a(flip)),flip(a)]. 3003 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2921(a,1),2518(a,1))]. 3004 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2921(a,1),2649(a,1,1))]. 3005 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(220,a,887,a,b,2942,a),flip(a)]. 3006 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2942(a,1),633(a,2,1)),flip(a)]. 3008 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2964(a,1),2966(a,1,2)),flip(a)]. 3009 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(220,a,257,a(flip),b,3008,a)]. 3012 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3009(a,1),871(a,1,1,2))]. 3018 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2666(a,1),2998(a,1,2)),flip(a)]. 3020 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2397(a,1),2999(a,1,2))]. 3021 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2421(a,1),3002(a,1,2))]. 3026 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2892(a,1),3018(a,1,2,1))]. 3027 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2776(a,1),2975(a,1,1,1,1))]. 3029 T(x,y \ ((x * y) / x)) = x. [para(2945(a,1),2951(a,1,2))]. 3030 T(x,T(y,x) \ y) = x. [para(155(a,1),3029(a,1,2,2))]. 3031 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3030(a,1),118(a,1,2))]. 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(220,a,1284,a,b,3031,a(flip)),flip(a)]. 3034 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3031(a,1),1596(a,1,1,2,1))]. 3035 L(x,x \ T(x,y),x) = x. [hyper(220,a,63,a(flip),b,2957,a)]. 3037 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2928(a,1),2995(a,1,1))]. 3038 K(1 / x,y) = K(x \ 1,y). [hyper(220,a,2629,a(flip),b,3006,a(flip)),flip(a)]. 3039 K(1 / (1 / x),y) = K(x,y). [hyper(220,a,581,a(flip),b,3038,a)]. 3040 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(220,a,29,a(flip),b,3038,a),flip(a)]. 3041 K((x \ 1) \ 1,y) = K(x,y). [para(63(a,1),3038(a,1,1)),flip(a)]. 3043 T(K(x,y),x) = K(x,y). [para(3039(a,1),2734(a,1,1))]. 3044 T(x,K(x,y)) = x. [hyper(38,a,3043,a)]. 3046 K(x,y) * x = x * K(x,y). [para(3043(a,1),118(a,1,2)),flip(a)]. 3049 T(T(x,y),K(x,z)) = T(x,y). [para(3044(a,1),41(a,1,1)),flip(a)]. 3050 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3044(a,1),171(a,1,2,1)),flip(a)]. 3052 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3044(a,1),173(a,1,2,1)),flip(a)]. 3053 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(3044(a,1),243(a,1,1)),flip(a)]. 3056 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2389(a,1),3041(a,1,1)),flip(a)]. 3068 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3040(a,1),239(a,1))]. 3076 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(161,a,3052,a)]. 3078 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(2562,a,2761,a),flip(a)]. 3079 T(x,T(y,y \ 1)) = T(x,y). [hyper(160,a,2526,a(flip),b,2761,a(flip))]. 3083 T(x,(y \ 1) \ 1) = T(x,y). [para(119(a,1),3079(a,1,2))]. 3085 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1454(a,1),3079(a,1,2))]. 3087 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3083(a,1),118(a,1,2))]. 3091 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(592,a,3078,a)]. 3092 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3078(a,1),2337(a,2,1))]. 3093 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(220,a,2306,a(flip),b,3087,a)]. 3096 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3091(a,2),464(a,2,1))]. 3098 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2843(a,1),2031(a,1,2))]. 3099 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2843(a,1),2603(a,1,1,2)),flip(a)]. 3100 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,3098,a)]. 3101 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(161,a,2875,a)]. 3104 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2167,a,2936,a)]. 3105 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(592,a,2971,a)]. 3107 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2971(a,1),565(a,1,1))]. 3111 R(((x \ 1) * (y / (x \ 1))) / (1 / x),x \ 1,x) = ((1 / x) * (y * x)) / (1 / x). [para(2989(a,1),2599(a,1,1,1))]. 3112 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2308(a,1),2992(a,1,2)),flip(a)]. 3113 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2715,a,b,3001,a)]. 3116 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3004(a,2),358(a,1))]. 3118 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(66(a,1),3021(a,1,2,1,1,2)),flip(a)]. 3119 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(139(a,1),3021(a,1,2,1,1,2))]. 3121 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3104(a,1),2988(a,1,2)),flip(a)]. 3122 T(1 / (1 / x),y / (y * x)) = x. [hyper(160,a,3113,a,b,xx)]. 3124 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),3122(a,1,2,2))]. 3125 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3124(a,1),156(a,1,2,2))]. 3126 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3118(a,1),63(a,1,2))]. 3128 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1870(a,2),3125(a,1,2))]. 3130 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2298(a,2),3126(a,1,2))]. 3134 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),3130(a,1,2,1,1,1))]. 3135 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(220,a,1805,a,b,3134,a),flip(a)]. 3136 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(220,a,148,a,b,3135,a),flip(a)]. 3139 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2904(a,2),3037(a,1,1))]. 3140 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2775(a,2),2109(a,1,1))]. 3143 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [hyper(220,a,2513,a,b,2895,a)]. 3145 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2290(a,1),2896(a,2,2))]. 3146 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(2933(a,1),17(a,1,2))]. 3147 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(2933(a,1),1281(a,1,1)),flip(a)]. 3148 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2290(a,1),3026(a,2,1))]. 3151 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2000,a,3112,a),flip(a)]. 3152 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,1998,a(flip),b,3112,a(flip))]. 3153 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(20,a,250,a,b,3151,a)]. 3154 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(220,a,2445,a(flip),b,3152,a(flip)),flip(a)]. 3155 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(220,a,2186,a(flip),b,3152,a(flip)),flip(a)]. 3156 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3154(a,1),138(a,1,2,1))]. 3157 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2945(a,1),3154(a,1,2)),flip(a)]. 3158 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),3155(a,1,1,2))]. 3159 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(120(a,1),3155(a,1,1,2)),flip(a)]. 3160 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1402(a,1),3155(a,1,1,2)),flip(a)]. 3161 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2942(a,1),3155(a,1,1))]. 3162 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(120(a,1),3159(a,1,1)),flip(a)]. 3163 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),3162(a,1,1,2)),flip(a)]. 3164 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(887(a,2),3161(a,1,1)),flip(a)]. 3167 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3121(a,1),1565(a,1,1)),flip(a)]. 3168 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(119(a,1),3145(a,1,2,2))]. 3170 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,17,a(flip),b,3148,a),flip(a)]. 3171 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),3163(a,1,1)),flip(a)]. 3172 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3171(a,1),63(a,1,2))]. 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(220,a,3157,a,b,3172,a(flip)),flip(a)]. 3176 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(155(a,1),3174(a,2,1))]. 3179 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3176(a,1,1))]. 3180 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3170,a)]. 3182 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1765(a,1),3180(a,1,2))]. 3183 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2953(a,1),923(a,1,2)),flip(a)]. 3184 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),3183(a,1,1)),flip(a)]. 3185 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(220,a,2109,a,b,2955,a(flip)),flip(a)]. 3186 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),3160(a,2,1))]. 3188 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(220,a,2559,a(flip),b,2901,a(flip))]. 3189 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3188,a(flip))]. 3190 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3189(a,1),1404(a,1,1)),flip(a)]. 3191 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3189(a,1),2372(a,1,1))]. 3192 (L(x,x \ 1,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2628(a,1),2948(a,1,1,1))]. 3193 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2939(a,1),2949(a,2,2,1,2))]. 3205 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2481(a,1),3020(a,1,2))]. 3206 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(220,a,3031,a(flip),b,3034,a)]. 3209 (L(x,x \ 1,y) * y) / L(x,x \ 1,y) = y * (x \ T(x,y)). [para(2628(a,1),3192(a,1,2))]. 3211 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3179(a,1),3206(a,1,1,2))]. 3212 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,3193,a(flip),b,3211,a(flip)),flip(a)]. 3213 ((L(x,x \ 1,y) * y) / L(x,x \ 1,y)) \ y = T(x,y) \ x. [para(3209(a,2),3212(a,1,1))]. 3214 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3213(a,1),2980(a,1,1,2))]. 3216 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3116,a,234,a(flip)),flip(a)]. 3217 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [para(3136(a,1),3147(a,1,2)),flip(a)]. 3219 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(220,a,1988,a(flip),b,3217,a(flip)),flip(a)]. 3220 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(16(a,1),3219(a,1,2,2,1)),flip(a)]. 3221 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2837(a,1),3167(a,1,1)),flip(a)]. 3223 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),3158(a,2,1))]. 3224 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3164(a,1),2983(a,1,3))]. 3225 T(x,K(y,x) \ 1) = x. [para(3164(a,1),3030(a,1,2))]. 3226 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3225(a,1),118(a,1,2))]. 3227 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3226(a,1),150(a,2,1)),flip(a)]. 3228 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(220,a,3224,a(flip),b,3227,a)]. 3230 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(63(a,1),3182(a,2,1,1,2))]. 3231 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2675,a,3230,a)]. 3232 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(16(a,1),3231(a,1,2)),flip(a)]. 3233 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3232(a,1),17(a,1,2))]. 3234 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1818(a,2),3233(a,1,2))]. 3235 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2800(a,1),3233(a,1,2)),flip(a)]. 3236 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3235(a,1),896(a,1,2))]. 3238 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1765(a,1),3205(a,1,2))]. 3239 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [hyper(220,a,2528,a,b,2530,a(flip)),flip(a)]. 3251 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1037(a,1),2972(a,2,1))]. 3254 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3251(a,2),587(a,1))]. 3255 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = x * (R((x \ y) * x,z,u) / x). [para(17(a,1),2688(a,1,2,1,2))]. 3256 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2526(a,1),2690(a,1,2,1))]. 3257 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2491(a,1),3256(a,1,2,1))]. 3263 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2927(a,1),3234(a,1,2))]. 3264 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(119(a,2),3263(a,1,2,1))]. 3265 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2614(a,1),3238(a,2,1))]. 3267 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(157(a,1),3092(a,2,1))]. 3268 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(220,a,284,a(flip),b,3267,a)]. 3271 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3268(a,1),234(a,1,2)),flip(a)]. 3272 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,15,a(flip),b,3271,a)]. 3273 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,2361,a(flip),b,3272,a(flip))]. 3274 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(71,a,3273,a(flip),b,2104,a)]. 3275 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(66(a,1),3273(a,1,2))]. 3276 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(995(a,1),3275(a,1,1))]. 3277 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1035(a,1),3276(a,1,1)),flip(a)]. 3278 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(220,a,3221,a(flip),b,3099,a)]. 3279 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2843(a,1),3278(a,1,1))]. 3280 ((1 / x) * (y * x)) / (1 / x) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(2605,a,3111,a),flip(a)]. 3281 ((x \ 1) * (y * x)) / (x \ 1) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(220,a,2910,a(flip),b,3280,a(flip)),flip(a)]. 3282 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2288(a,1),2750(a,2,2,1))]. 3283 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(718(a,1),2891(a,1,2)),flip(a)]. 3284 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(220,a,1793,a(flip),b,3283,a(flip))]. 3285 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2649(a,1),2929(a,1,2)),flip(a)]. 3286 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(220,a,29,a,b,3285,a)]. 3287 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2669(a,1),3286(a,1,1)),flip(a)]. 3289 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(220,a,171,a(flip),b,3282,a)]. 3290 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3289(a,1,2))]. 3291 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3290(a,1,2))]. 3294 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3291(a,1),2795(a,1,2)),flip(a)]. 3295 L(x,y,K(z \ 1,z) * u) = L(x,y,u * K(z \ 1,z)). [hyper(220,a,2576,a(flip),b,2577,a(flip)),flip(a)]. 3300 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3184(a,1),3185(a,1,1))]. 3301 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(220,a,176,a(flip),b,3300,a(flip)),flip(a)]. 3302 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),3301(a,1,1)),flip(a)]. 3303 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,3035,a(flip),b,3302,a)]. 3304 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2836(a,1),3302(a,1,2)),flip(a)]. 3305 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1402(a,1),3303(a,1,1,2)),flip(a)]. 3306 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2945(a,1),3303(a,1,1)),flip(a)]. 3307 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(220,a,2950,a(flip),b,3304,a)]. 3309 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3307(a,1),526(a,2,1))]. 3310 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3306(a,1,2)),flip(a)]. 3311 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(155(a,1),3310(a,1,1,2)),flip(a)]. 3312 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(155(a,1),3311(a,1,2,1)),flip(a)]. 3313 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3312(a,1),17(a,1,2))]. 3314 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),3305(a,2,1))]. 3316 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3186(a,1),3314(a,1,2))]. 3317 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3316(a,1),22(a,1))]. 3318 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(17(a,1),3309(a,1,2,2,2))]. 3320 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2961(a,1),3318(a,1,2,2)),flip(a)]. 3321 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1445(a,1),3320(a,2,2))]. 3323 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(220,a,180,a(flip),b,3321,a)]. 3324 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(555,a,3323,a),flip(a)]. 3326 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(220,a,2944,a(flip),b,3324,a)]. 3327 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1402(a,1),3326(a,1,1,2))]. 3328 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(16(a,1),3327(a,1,1)),flip(a)]. 3330 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1402(a,1),3328(a,1,2)),flip(a)]. 3331 L(K(x,y),x \ 1,x) = K(x,y). [hyper(220,a,16,a(flip),b,3330,a)]. 3334 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,3331,a(flip),b,180,a),flip(a)]. 3340 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,1407,a(flip),b,3190,a)]. 3341 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(541(a,1),3340(a,1,2,2))]. 3342 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,45,a,b,3341,a(flip)),flip(a)]. 3343 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1797(a,1),3342(a,1,1)),flip(a)]. 3344 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,889,a,b,3343,a)]. 3346 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(220,a,1476,a(flip),b,3344,a(flip)),flip(a)]. 3347 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3344(a,1),3223(a,1,1)),flip(a)]. 3348 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(220,a,3189,a,b,3346,a),flip(a)]. 3349 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1700(a,2),3348(a,1,2))]. 3350 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [hyper(3254,a,3347,a),flip(a)]. 3351 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2377(a,1),396(a,1))]. 3359 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),2977(a,2,1))]. 3360 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2540,a,2539,a),flip(a)]. 3367 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(833(a,1),2818(a,1,2,1))]. 3368 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2807(a,1),3367(a,1,1))]. 3369 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(3368(a,1),19(a,1,1))]. 3370 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3265(a,1),2608(a,1,1))]. 3371 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(810(a,1),3370(a,2,1,2))]. 3372 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2660(a,1),2697(a,1,2)),flip(a)]. 3373 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(220,a,33,a,b,3372,a)]. 3376 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(119(a,2),3373(a,1,2,2))]. 3377 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1765(a,1),3376(a,1,3))]. 3378 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(63(a,1),3377(a,2,3))]. 3379 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2798(a,1),2799(a,2,2,1,1))]. 3380 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(220,a,2941,a(flip),b,3379,a)]. 3382 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2941(a,1),3380(a,1,1))]. 3383 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3382(a,1),3012(a,1,1))]. 3384 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3009(a,1),3383(a,2,1))]. 3386 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3384(a,1),17(a,1,2))]. 3388 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,2535,a(flip),b,3386,a(flip)),flip(a)]. 3389 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2769(a,1),2812(a,1,2)),flip(a)]. 3390 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3389(a,2),396(a,1))]. 3391 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),3027(a,1,1,1))]. 3393 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3391(a,1),23(a,1)),flip(a)]. 3398 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3139(a,1),3140(a,1,1))]. 3400 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2508(a,1),2541(a,1,2,2))]. 3401 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),y). [para(2508(a,1),3400(a,2,3))]. 3402 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3096(a,1,1))]. 3403 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3402(a,1,2,3))]. 3404 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2748(a,1),3403(a,1,2)),flip(a)]. 3405 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3091(a,1),3404(a,1,1))]. 3406 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3093(a,1),3404(a,1,1)),flip(a)]. 3407 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1448(a,1),3405(a,1,2))]. 3408 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(220,a,3085,a(flip),b,3407,a(flip))]. 3409 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(220,a,2714,a(flip),b,3408,a)]. 3410 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(220,a,2597,a(flip),b,3409,a)]. 3411 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(220,a,3410,a(flip),b,3406,a(flip)),flip(a)]. 3412 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1448(a,1),3411(a,2,2))]. 3413 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(220,a,3085,a(flip),b,3412,a)]. 3414 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(220,a,3100,a(flip),b,3413,a)]. 3415 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3152(a,1),3414(a,1,1))]. 3416 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(220,a,3279,a(flip),b,3415,a(flip)),flip(a)]. 3417 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3416(a,1),749(a,1,1))]. 3418 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(220,a,409,a(flip),b,3417,a(flip))]. 3419 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(220,a,29,a,b,3418,a),flip(a)]. 3420 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3419(a,2,1)),flip(a)]. 3421 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3420,a(flip),b,180,a),flip(a)]. 3422 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3421(a,1),33(a,2,2)),flip(a)]. 3424 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(33(a,2),1953(a,2,2,1,1))]. 3425 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1819(a,1),3424(a,1,1))]. 3426 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1825(a,1),3425(a,1,1,1))]. 3427 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(429,a,3426,a),flip(a)]. 3429 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(642(a,1),3427(a,2,1,2))]. 3430 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1041(a,1),3427(a,1,2))]. 3431 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1335(a,1),3429(a,1,2))]. 3432 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(141(a,1),3431(a,2,1,2))]. 3433 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1760(a,2),3432(a,2,1))]. 3434 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(15(a,1),3430(a,1,2,2)),flip(a)]. 3435 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3349(a,1),3434(a,1,1)),flip(a)]. 3436 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3346(a,1),3435(a,2,1))]. 3437 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,3191,a(flip),b,3436,a)]. 3438 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1760,a(flip),b,3437,a)]. 3439 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(220,a,3277,a,b,3438,a(flip)),flip(a)]. 3440 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3439(a,1),63(a,1,2)),flip(a)]. 3441 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(63(a,1),3439(a,1,1,1,2)),flip(a)]. 3442 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3441(a,1),66(a,1,1))]. 3443 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(63(a,1),3442(a,1,1,1,1)),flip(a)]. 3444 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3442(a,1),3083(a,1,2)),flip(a)]. 3446 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3443(a,2),2299(a,1,1))]. 3449 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(220,a,2952,a(flip),b,3444,a(flip))]. 3451 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(216,a,3446,a),flip(a)]. 3452 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2298(a,1),3451(a,2,1))]. 3453 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(220,a,3119,a(flip),b,3452,a(flip)),flip(a)]. 3454 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(3143(a,1),3453(a,2,1))]. 3456 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3454(a,2),23(a,1))]. 3462 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * (1 / T(y,x)). [para(66(a,1),1811(a,2,2))]. 3463 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * ((1 / T(y,x)) \ 1)) / x). [hyper(220,a,720,a(flip),b,3462,a)]. 3465 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * T(y,x)) / x). [para(66(a,1),3463(a,2,2,1,2))]. 3467 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * y. [para(155(a,1),3465(a,2,2))]. 3468 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = y / T(y,x). [hyper(220,a,1105,a(flip),b,3467,a)]. 3469 (1 / (1 / T(x,y))) \ (x * T(K(x \ 1,x),y)) = x / T(x,y). [para(16(a,1),3468(a,1,1))]. 3471 (1 / (1 / T(x,y))) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2854(a,2),3469(a,1,2,2))]. 3472 T(1 / (1 / x),y) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2290(a,1),3471(a,1,1))]. 3473 T(1 / (1 / x),y) \ (1 / (1 / x)) = x / T(x,y). [para(2855(a,1),3472(a,1,2))]. 3474 T(1 / x,y) \ (1 / (1 / (x \ 1))) = (x \ 1) / T(x \ 1,y). [para(63(a,1),3473(a,1,1,1,2))]. 3476 (x \ 1) / T(x \ 1,y) = T(1 / x,y) \ (1 / x). [para(63(a,1),3474(a,1,2,2)),flip(a)]. 3477 (x \ 1) / T(x \ 1,y) = x \ (T(1 / x,y) \ 1). [hyper(220,a,3153,a(flip),b,3476,a)]. 3478 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(2849,a,3477,a)]. 3479 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2242(a,1),1271(a,1,1,2))]. 3480 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(19(a,1),3479(a,1,1,2))]. 3482 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(988(a,1),3480(a,1,1)),flip(a)]. 3484 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3482(a,1),3359(a,1,1))]. 3485 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3484,a(flip),b,3316,a)]. 3486 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3485,a(flip))]. 3487 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3486(a,1),2435(a,1,1))]. 3488 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(220,a,3350,a(flip),b,3487,a(flip)),flip(a)]. 3489 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(220,a,3284,a,b,3488,a(flip)),flip(a)]. 3490 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3488(a,1),2200(a,2,1,1))]. 3491 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3489(a,1),17(a,1,2))]. 3492 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(220,a,3440,a(flip),b,3491,a)]. 3493 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(20,a,1740,a,b,3492,a),flip(a)]. 3494 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,2922,a,b,3490,a(flip)),flip(a)]. 3495 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,559,a(flip),b,3494,a(flip)),flip(a)]. 3496 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3456,a,3495,a),flip(a)]. 3499 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3496,a)]. 3501 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,x) * y) * z. [para(3496(a,1),3490(a,2,1))]. 3503 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(220,a,3493,a,b,3499,a(flip)),flip(a)]. 3504 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3499(a,1),991(a,1,2))]. 3507 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3503(a,1),1738(a,1,1))]. 3508 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3503(a,1),2656(a,1,1,1)),flip(a)]. 3509 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3507,a(flip),b,2803,a),flip(a)]. 3510 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3507(a,1),2649(a,1,1))]. 3511 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2809,a,b,3504,a),flip(a)]. 3513 R(x,y,z) / x = x \ R(x,y,z). [hyper(1042,a,3511,a)]. 3516 (x \ R(x,y,z)) * x = R(x,y,z). [para(3511(a,1),1039(a,1,1))]. 3519 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3513(a,1),445(a,1,1))]. 3520 T(x,x \ R(x,y,z)) = x. [hyper(253,a,3516,a)]. 3530 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(220,a,2656,a(flip),b,3508,a)]. 3531 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1766,a,3530,a)]. 3532 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(220,a,3274,a(flip),b,3509,a)]. 3533 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3519(a,2),2293(a,1,1,1,1))]. 3553 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3503(a,1),3501(a,1,1)),flip(a)]. 3554 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2544,a,3553,a)]. 3555 L(x,y,K(z \ 1,z)) = x. [hyper(388,a,3553,a)]. 3556 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(71,a,89,a(flip),b,3553,a)]. 3557 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [hyper(2677,a,3553,a(flip))]. 3559 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),33(a,2,1,1)),flip(a)]. 3561 (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) != w | L(u,K(y \ 1,y) * z,x) = w. [para(3553(a,1),396(a,1,2,2))]. 3563 x \ ((y * K(z \ 1,z)) * u) = x \ (K(z \ 1,z) * (y * u)). [para(3553(a,1),2575(a,1,2)),flip(a)]. 3564 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [para(3553(a,1),2576(a,1,1))]. 3566 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,K(z \ 1,z),y). [para(3553(a,1),3401(a,1,2))]. 3569 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3390,a,3555,a),flip(a)]. 3572 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(220,a,3360,a,b,3555,a(flip)),flip(a)]. 3575 L(x,y,1) = x. [para(142(a,1),3555(a,1,3))]. 3576 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3555(a,1),448(a,1,2))]. 3577 L(x,y,K(z,z \ 1)) = x. [para(1762(a,1),3555(a,1,3))]. 3581 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3555(a,1),3390(a,1))]. 3582 L(x,y,1) = x / 1. [hyper(220,a,61,a,b,3575,a)]. 3583 L(x,y,1) != z | z = x. [para(3582(a,2),202(a,1))]. 3587 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(220,a,2671,a(flip),b,3577,a(flip)),flip(a)]. 3589 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3577(a,1),103(a,1,2))]. 3590 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3577(a,1),323(a,1,2)),flip(a)]. 3591 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3577(a,1),448(a,1,2))]. 3595 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3577(a,1),1785(a,1,2)),flip(a)]. 3597 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(63(a,1),3569(a,1,3)),flip(a)]. 3601 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2781(a,2),3581(a,1))]. 3603 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2506,a,3590,a)]. 3605 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3590(a,1),2506(a,1))]. 3606 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2506,a,3595,a)]. 3607 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(578(a,1),3606(a,1,1)),flip(a)]. 3614 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3554(a,1),2810(a,1,1))]. 3615 K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w. [para(3499(a,2),3554(a,2,1)),flip(a)]. 3618 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2657(a,1),3556(a,1,1)),flip(a)]. 3623 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2657(a,1),3557(a,1,2,1)),flip(a)]. 3625 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3576(a,1),120(a,1,1))]. 3626 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(779(a,1),3576(a,1,1)),flip(a)]. 3628 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2665,a,3626,a)]. 3632 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(14(a,1),3587(a,2,2))]. 3633 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2499(a,1),3632(a,1,1))]. 3636 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(418,a,3589,a)]. 3638 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3589,a(flip),b,2531,a)]. 3640 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(220,a,3433,a,b,3636,a(flip)),flip(a)]. 3642 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1738(a,1),3618(a,2,2))]. 3643 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3618(a,1),2912(a,1))]. 3646 (K(x,x \ 1) * ((y * z) * u)) / ((z * K(x,x \ 1)) * u) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),421(a,1,1))]. 3650 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(220,a,772,a(flip),b,3572,a(flip))]. 3651 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2588(a,1),3572(a,1,1,2))]. 3654 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2906(a,1),3625(a,1,1))]. 3656 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3531,a,b,3640,a)]. 3658 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3656(a,1),209(a,1,2)),flip(b)]. 3659 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(3658,a,3532,a),flip(a)]. 3660 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3658,a,3509,a),flip(a)]. 3661 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3660(a,1),17(a,1,2))]. 3662 K(x,R(x \ 1,y,z)) * (u * w) = (u * K((x \ 1) \ 1,x \ 1)) * w. [para(3041(a,1),3615(a,1,1))]. 3665 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),3559(a,1,1))]. 3666 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(220,a,3591,a(flip),b,3638,a(flip)),flip(a)]. 3667 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(220,a,3239,a(flip),b,3638,a(flip))]. 3668 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1765(a,1),3667(a,1,2)),flip(a)]. 3669 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1765(a,1),3668(a,1,3)),flip(a)]. 3670 K(x,R(x \ 1,y,z)) * (u * w) = (u * K(x,x \ 1)) * w. [para(1787(a,1),3662(a,2,1,2))]. 3671 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(21,a,2499,a,b,3670,a)]. 3672 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(220,a,3576,a(flip),b,3665,a(flip)),flip(a)]. 3673 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3672(a,1,2)),flip(a)]. 3674 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2677,a,3673,a(flip))]. 3677 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(71,a,3674,a(flip),b,3255,a(flip)),flip(a)]. 3678 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(3677(a,1),19(a,1,1)),flip(a)]. 3679 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(67(a,1),3677(a,1,1,1)),flip(a)]. 3680 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(436(a,1),3678(a,2,1,2))]. 3682 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2596(a,1),3678(a,2,1,2))]. 3683 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3679(a,1),17(a,1,2)),flip(a)]. 3684 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3683(a,2),2335(a,1,1))]. 3686 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3680,a(flip),b,184,a)]. 3687 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(220,a,3371,a(flip),b,3682,a(flip))]. 3688 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3682,a(flip),b,2598,a),flip(a)]. 3690 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3687(a,1,1)),flip(a)]. 3691 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3690,a),flip(a)]. 3692 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,17,a(flip),b,3690,a),flip(a)]. 3693 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,3691,a)]. 3694 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,218,a(flip),b,3691,a),flip(a)]. 3695 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,155,a(flip),b,3691,a)]. 3696 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,3146,a,b,3691,a),flip(a)]. 3697 (x \ T(x,y)) * y = (x * y) / x. [hyper(220,a,2874,a,b,3691,a(flip)),flip(a)]. 3698 ((x * y) / x) / y = x \ T(x,y). [hyper(72,a,3691,a(flip),b,2874,a)]. 3699 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3691(a,1),813(a,1,2))]. 3700 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3691(a,1),2091(a,1,1))]. 3701 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2942(a,1),3691(a,1,2)),flip(a)]. 3702 ((x * y) / x) \ y = T(x,y) \ x. [para(3691(a,1),3212(a,1,1))]. 3703 (T(x,y) \ x) * ((x * y) / x) = y. [para(3691(a,1),3313(a,1,2))]. 3705 x * (y \ T(y,x)) != z | (y * x) / y = z. [para(3693(a,1),208(a,1,2)),flip(b)]. 3706 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3693(a,1),403(a,1,1))]. 3707 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3693(a,1),1281(a,1,1)),flip(a)]. 3708 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3695(a,2),17(a,1,2))]. 3709 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3695(a,2),2947(a,1,1))]. 3710 (x * y) / x != z * y | x \ T(x,y) = z. [para(3697(a,1),23(a,1))]. 3712 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3698(a,1),443(a,1,1,1))]. 3713 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3702(a,1,1,1)),flip(a)]. 3714 T(x,T(y,x)) \ x = y \ T(y,x). [para(155(a,1),3702(a,1,1)),flip(a)]. 3715 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),1082(a,1,1,2,2)),flip(a)]. 3716 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3702(a,1),1188(a,1,2,2,1))]. 3717 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3393,a,3703,a)]. 3718 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3714(a,1),2845(a,1,1))]. 3719 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2942(a,1),3718(a,1,1))]. 3720 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(3005(a,2),3718(a,1,1)),flip(a)]. 3721 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(119(a,1),3692(a,1,2,2))]. 3722 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,3721,a)]. 3723 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(155(a,1),3706(a,2,2)),flip(a)]. 3724 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3707(a,2),2946(a,1))]. 3725 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(120(a,1),3694(a,1,2))]. 3726 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(220,a,3713,a,b,3725,a(flip)),flip(a)]. 3727 x / (x / y) = y * (T(y,y \ x) \ y). [para(3726(a,2),17(a,1,2)),flip(a)]. 3729 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3727(a,2,2,1,2))]. 3730 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1354,a,3696,a)]. 3732 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(220,a,1004,a,b,3696,a(flip)),flip(a)]. 3733 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3696(a,1),1982(a,1,1))]. 3734 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3696(a,1),2006(a,2,2,1))]. 3735 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3696(a,1),1985(a,2,2,1))]. 3736 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3696(a,1),2369(a,1,1))]. 3737 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3730(a,2),17(a,1,2))]. 3738 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1398,a,3737,a)]. 3739 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(63(a,1),3737(a,1,2,2,1)),flip(a)]. 3740 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(191(a,1),3737(a,1,2,2,1)),flip(a)]. 3741 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1972,a,3738,a)]. 3744 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(220,a,3449,a,b,3738,a(flip)),flip(a)]. 3745 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3738,a(flip),b,1968,a)]. 3746 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3738(a,1),1969(a,1,2)),flip(a)]. 3747 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(220,a,3220,a(flip),b,3744,a(flip)),flip(a)]. 3748 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3744,a(flip),b,3219,a)]. 3751 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3745(a,2),150(a,2,1))]. 3752 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3748,a,b,xx)]. 3753 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3748(a,2),22(a,1))]. 3754 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(66(a,1),3748(a,2,2,1))]. 3755 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(303(a,2),3748(a,2,2)),flip(a)]. 3759 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(220,a,954,a(flip),b,3729,a(flip)),flip(a)]. 3760 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3746(a,1),2641(a,2,1,2))]. 3762 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(220,a,819,a(flip),b,3754,a(flip)),flip(a)]. 3763 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3759(a,1),66(a,1,1))]. 3764 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3759(a,1),1255(a,2,2,1,2))]. 3766 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [hyper(220,a,3708,a,b,3720,a(flip)),flip(a)]. 3767 ((x \ 1) \ (x \ y)) * (x \ 1) = y * R(1 / x,x,x \ y). [hyper(220,a,818,a,b,3755,a),flip(a)]. 3769 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(893(a,1),3701(a,2,2))]. 3770 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(220,a,3730,a(flip),b,3733,a),flip(a)]. 3771 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3740(a,2),22(a,1))]. 3772 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(20,a,764,a,b,3747,a),flip(a)]. 3773 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2965(a,1),3770(a,1,2,2,1)),flip(a)]. 3774 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(220,a,3004,a(flip),b,3772,a(flip))]. 3775 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(148(a,2),3774(a,1,2))]. 3776 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3775,a(flip),b,704,a),flip(a)]. 3777 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3709(a,1),748(a,1,1))]. 3778 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(220,a,3730,a(flip),b,3736,a)]. 3779 (x \ y) \ (y * R(1 / x,x,x \ y)) = K((x \ 1) \ (x \ y),x \ 1). [hyper(71,a,3767,a(flip),b,234,a)]. 3781 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(220,a,1093,a(flip),b,3688,a(flip)),flip(a)]. 3782 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3730(a,1),3734(a,1,1))]. 3784 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3769(a,2),22(a,1))]. 3785 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(220,a,3700,a(flip),b,3776,a(flip)),flip(a)]. 3786 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(1563,a,3785,a)]. 3787 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3786(a,1,1,1)),flip(a)]. 3788 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3787(a,1,1,1)),flip(a)]. 3789 K((x \ 1) \ (x \ y),x \ 1) = K(y,(x \ y) / y). [hyper(637,a,3779,a),flip(a)]. 3790 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(220,a,3216,a(flip),b,3789,a(flip)),flip(a)]. 3792 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3164(a,1),3766(a,1,2))]. 3793 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(71,a,3792,a(flip),b,3226,a)]. 3794 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3792(a,1),22(a,1))]. 3795 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3792(a,1),3228(a,1,1))]. 3796 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3793(a,1),811(a,1,2,1))]. 3797 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3795(a,1),17(a,1,2))]. 3798 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3797(a,1),2642(a,1,1)),flip(a)]. 3799 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(220,a,241,a(flip),b,3796,a(flip))]. 3800 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(220,a,328,a(flip),b,3799,a(flip))]. 3801 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(220,a,3800,a(flip),b,3798,a)]. 3802 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3801(a,1),2239(a,1,2,2))]. 3803 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3777(a,2,1))]. 3805 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(520,a,3802,a),flip(a)]. 3806 K(x,(y \ 1) \ 1) = K(x,y). [hyper(220,a,564,a(flip),b,3805,a),flip(a)]. 3809 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(220,a,3287,a,b,3806,a(flip)),flip(a)]. 3811 K(x,1 / y) = K(x,y \ 1). [para(66(a,1),3806(a,1,2,1)),flip(a)]. 3823 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3811(a,1),2095(a,2,1))]. 3828 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2147(a,2),3809(a,1,1))]. 3829 K((1 / x) \ y,x) = K((x \ 1) \ y,x). [para(2800(a,1),3809(a,1,1)),flip(a)]. 3830 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2808(a,1),3809(a,1,1))]. 3834 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2808(a,1),3828(a,1,1,1))]. 3836 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3601,a,3717,a)]. 3837 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2778(a,1),3836(a,2,1))]. 3838 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(220,a,3788,a(flip),b,3837,a(flip))]. 3839 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3838(a,1),3156(a,1,2,1))]. 3843 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(220,a,3778,a,b,3773,a)]. 3844 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3083(a,1),3843(a,2,1,2))]. 3847 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(220,a,1218,a(flip),b,3764,a(flip))]. 3848 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(118(a,1),3847(a,2,1,2))]. 3849 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3702(a,1),3716(a,2,2))]. 3855 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3654(a,2),3643(a,1))]. 3856 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2487(a,1),3760(a,1,1,1))]. 3857 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3628(a,1),3856(a,1,1,1))]. 3858 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(120(a,1),3857(a,1,1))]. 3859 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3752(a,1),3858(a,2,1))]. 3861 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3859(a,2),214(a,1)),flip(b)]. 3866 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,K(x \ 1,x) * y). [hyper(220,a,3563,a(flip),b,3564,a(flip)),flip(a)]. 3867 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(220,a,3576,a(flip),b,3614,a(flip)),flip(a)]. 3869 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [hyper(220,a,3295,a(flip),b,3866,a)]. 3870 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(683,a,3869,a)]. 3871 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(220,a,3555,a(flip),b,3870,a(flip))]. 3876 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1765(a,1),3607(a,2,2))]. 3877 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(63(a,1),3876(a,1,1))]. 3878 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(3861,a,3877,a(flip)),flip(a)]. 3906 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2077(a,1),3715(a,1,1))]. 3907 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(118(a,1),3906(a,1,1,1,2))]. 3908 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),3907(a,1,2))]. 3909 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3684(a,1),216(a,1))]. 3910 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3909,a,3735,a)]. 3911 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3741(a,1),3910(a,1,1)),flip(a)]. 3912 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3083(a,1),3911(a,1,2,1,2)),flip(a)]. 3913 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3083(a,1),3912(a,1,1)),flip(a)]. 3914 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3913(a,1,2,2)),flip(a)]. 3915 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3914(a,1,2)),flip(a)]. 3917 L(x,y \ T(y,z),y) = x. [hyper(474,a,3915,a)]. 3918 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3915,a)]. 3920 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,896,a,b,3915,a)]. 3922 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3695(a,2),3915(a,1,2,1))]. 3923 T(x,y) * y = x * ((x * y) / x). [para(3697(a,1),3915(a,1,2)),flip(a)]. 3927 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3917,a(flip),b,3302,a)]. 3929 L(x,T(y,T(z,y)) \ y,z) = x. [para(3714(a,2),3917(a,1,2))]. 3930 L(x,T(y,z) \ y,(y * z) / y) = x. [para(154(a,1),3929(a,1,2,1,2))]. 3931 T(x,y) * (x \ y) = (x * y) / x. [hyper(920,a,3923,a)]. 3933 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1204,a,b,3923,a),flip(a)]. 3934 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3923(a,2,2,1))]. 3937 T(x,x / (1 / y)) = T(x,x * y). [hyper(220,a,1210,a(flip),b,3933,a(flip)),flip(a)]. 3938 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(220,a,962,a(flip),b,3933,a(flip)),flip(a)]. 3939 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3933,a(flip),b,950,a)]. 3940 T(x,x / y) = T(x,y \ x). [para(63(a,1),3933(a,1,2,2))]. 3943 T(x / y,T(y,x)) = y \ x. [hyper(160,a,1132,a,b,3931,a)]. 3945 T(x,T(y,x * y)) = y \ (x * y). [hyper(160,a,1110,a(flip),b,3931,a)]. 3947 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),3931(a,1,2))]. 3949 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3931(a,1),396(a,1,1))]. 3950 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3931(a,1),2881(a,1,1,1))]. 3951 T(x \ y,T(x,y)) = T(x \ y,x). [para(3943(a,1),175(a,1,1)),flip(a)]. 3956 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3937(a,1),1198(a,1,1))]. 3957 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3939(a,1,1)),flip(a)]. 3960 T(x,T(y,x * y)) = T(x,y). [hyper(220,a,35,a,b,3945,a)]. 3962 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3951(a,1),118(a,1,2))]. 3964 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3930,a(flip),b,3849,a),flip(a)]. 3965 R(x,x \ T(x,y),z) = x. [hyper(650,a,3918,a)]. 3966 R(x,T(y,x) \ y,z) = x. [para(3695(a,2),3965(a,1,2))]. 3967 R(x,K(y,x) \ 1,z) = x. [para(3164(a,1),3966(a,1,2))]. 3968 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(220,a,3782,a(flip),b,3920,a(flip))]. 3969 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,3388,a(flip),b,3920,a(flip))]. 3970 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(16(a,1),3927(a,2,2))]. 3974 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3748,a,b,3934,a)]. 3975 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(220,a,3920,a,b,3934,a(flip)),flip(a)]. 3980 (T(x,y) * z) / (x * z) = x \ T(x,y). [para(3970(a,1),63(a,1,2))]. 3981 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2956,a,3980,a)]. 3982 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3980(a,1),207(a,1,1)),flip(b)]. 3983 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3980(a,1),3803(a,1,1)),flip(a)]. 3985 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(220,a,2973,a(flip),b,3981,a(flip)),flip(a)]. 3986 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3698(a,1),3950(a,1,1))]. 3988 K(T(x,y),y) = K(x,(x * y) / x). [hyper(220,a,3706,a(flip),b,3986,a(flip))]. 3989 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(220,a,3938,a(flip),b,3956,a)]. 3990 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3922(a,2),23(a,1))]. 3993 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3957(a,1),662(a,1,1))]. 3994 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3964(a,1),17(a,1,2))]. 3996 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2847(a,1),3964(a,1,2))]. 3998 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(220,a,3712,a,b,3994,a(flip)),flip(a)]. 3999 (T(x,y) \ x) * (x * y) = y * x. [para(66(a,1),3994(a,1,2)),flip(a)]. 4000 K(x,y) = T(T(y,x) \ y,y * x). [hyper(160,a,3999,a,b,98,a),flip(a)]. 4001 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,3999,a)]. 4003 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),4001(a,1,2)),flip(a)]. 4004 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4001(a,2),3156(a,1,2,1)),flip(a)]. 4005 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(220,a,3839,a(flip),b,4004,a),flip(a)]. 4006 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1560(a,1),4005(a,1,2))]. 4007 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3996(a,1),3848(a,1,2,1))]. 4008 (x * (y / x)) / y = (x \ y) \ (y / x). [para(120(a,1),4003(a,1,1)),flip(a)]. 4009 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(220,a,3722,a(flip),b,4008,a)]. 4010 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(220,a,3732,a(flip),b,4009,a(flip))]. 4012 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3982(a,1,2))]. 4014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3718(a,1),4012(a,1))]. 4015 R(K(x,y),x,z) = K(x,y). [hyper(220,a,3723,a,b,3983,a)]. 4017 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4015(a,1),114(a,1,1)),flip(a)]. 4018 L(x,y,K(y,z)) = x. [hyper(388,a,4017,a)]. 4020 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3046(a,1),4017(a,1,1))]. 4021 L(x,y,K(y,z)) = 1 * x. [hyper(220,a,14,a,b,4018,a)]. 4026 L(x,y,K(y,z)) != u | u = x. [para(4021(a,2),73(a,1))]. 4028 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1048,a,3985,a),flip(a)]. 4030 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4010(a,1),2954(a,1,1))]. 4031 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2946,a,4030,a),flip(a)]. 4033 T(x,(x / y) \ 1) = T(x,x \ y). [para(66(a,1),4031(a,1,2,2)),flip(a)]. 4034 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4031(a,1),157(a,1,2))]. 4036 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4031(a,1),3726(a,1,1)),flip(a)]. 4037 (x / y) \ T(x,x \ y) = x * (y / x). [para(4033(a,1),3754(a,1,2))]. 4038 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(66(a,1),4034(a,1,2,2))]. 4039 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(18(a,1),4037(a,2,2))]. 4044 ((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y). [hyper(87,a,4038,a)]. 4045 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(35(a,2),4039(a,1,2,2))]. 4047 (x \ ((1 / y) \ x)) * T(x,y) != z | (1 / y) \ x = z. [para(4044(a,1),214(a,1,1)),flip(b)]. 4048 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4031(a,1),3974(a,1,1))]. 4049 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2780(a,1),4048(a,2,2))]. 4050 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(4007(a,1),22(a,1))]. 4051 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(220,a,3694,a(flip),b,4028,a(flip)),flip(a)]. 4052 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4028(a,1),3718(a,1,1)),flip(a)]. 4053 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(220,a,4036,a(flip),b,4051,a(flip)),flip(a)]. 4054 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(220,a,1246,a,b,4053,a),flip(a)]. 4055 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(220,a,810,a(flip),b,4053,a)]. 4058 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4053(a,2),396(a,1,1))]. 4059 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4054(a,2),2845(a,1,1))]. 4060 T(x,y) \ x = y \ T(y,x). [para(3083(a,1),4055(a,1,1))]. 4062 (x * y) / x = y * (T(y,x) \ y). [para(4060(a,2),3691(a,1,2)),flip(a)]. 4063 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4060(a,2),3915(a,1,2,1))]. 4064 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4060(a,2),3920(a,1,1)),flip(a)]. 4065 K(x,y) = T(x \ T(x,y),y * x). [para(4060(a,1),4000(a,2,1))]. 4066 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(220,a,3727,a,b,4062,a)]. 4068 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4062(a,2),3763(a,1,1))]. 4069 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(220,a,3770,a,b,4065,a),flip(a)]. 4070 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(63(a,1),4059(a,1,1,1,2)),flip(a)]. 4072 T(x,T(y,x)) = T(x,y). [hyper(3990,a,4063,a)]. 4073 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,968,a,b,4063,a)]. 4074 T(x,y) * T(y,x) = x * y. [para(2844(a,1),4063(a,1,2)),flip(a)]. 4075 x * (T(x,y) \ y) = T(y,x). [hyper(4014,a,4072,a)]. 4077 R(T(x,x * y),y,x) = T(x,y). [hyper(220,a,3989,a,b,4072,a(flip)),flip(a)]. 4078 (x / T(y,x)) * y = T(x,y). [hyper(220,a,3938,a,b,4072,a(flip)),flip(a)]. 4079 (T(x,y) / y) \ x = T(y,x). [hyper(220,a,1135,a,b,4072,a(flip)),flip(a)]. 4080 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(220,a,4006,a(flip),b,4072,a(flip))]. 4081 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(220,a,246,a(flip),b,4072,a(flip))]. 4082 T(x,y) / y = x / T(y,x). [hyper(72,a,4072,a(flip),b,3938,a)]. 4083 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,4072,a(flip),b,922,a)]. 4084 T(x,y) \ y = x \ T(y,x). [hyper(71,a,4072,a(flip),b,922,a),flip(a)]. 4085 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),4072(a,1,2))]. 4087 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(43(a,2),4072(a,1,2))]. 4088 T(x,y / x) = T(x,x \ y). [para(120(a,1),4072(a,1,2)),flip(a)]. 4089 T(x,(x * y) / x) = T(x,y). [para(154(a,1),4072(a,1,2)),flip(a)]. 4091 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4072(a,1),171(a,1,2,1))]. 4092 (x * y) / T(y,x) = T(x,y). [para(4072(a,1),193(a,1,2))]. 4093 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4072(a,1),172(a,1,2,1))]. 4094 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4072(a,1),173(a,1,2,1))]. 4095 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(612(a,1),4072(a,1,2))]. 4100 (x / (y * x)) \ T(x,y) = x * y. [para(4072(a,1),4045(a,1,2))]. 4101 T(x,y) * (x \ T(y,x)) = y. [hyper(920,a,4074,a)]. 4103 x * T(y,z) != z * y | T(z,y) = x. [para(4074(a,1),23(a,1)),flip(a)]. 4104 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4074(a,1),27(a,2,1,2)),flip(a)]. 4105 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4074(a,1),27(a,2,2,1)),flip(a)]. 4108 K(T(x,y) \ y,z) = K(x \ T(y,x),z). [para(4075(a,1),580(a,1,1,2)),flip(a)]. 4110 T(x,y) = (x * (x * y)) / (y * x). [hyper(220,a,1151,a,b,4078,a(flip))]. 4113 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(41(a,1),4083(a,1,2,1))]. 4115 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4084(a,1),96(a,1,1,2,1))]. 4116 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4084(a,2),1419(a,2,1))]. 4119 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(220,a,668,a,b,4088,a(flip)),flip(a)]. 4123 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4088(a,1),786(a,1,2,2))]. 4125 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4092(a,1),1132(a,1,1)),flip(a)]. 4126 T(x,y) \ y != z * u | (x \ T(y,x)) / u = z. [para(4101(a,1),372(a,1,2))]. 4127 R(T(x,y),x \ y,x) = T(x,x \ y). [para(17(a,1),4077(a,1,1,2))]. 4135 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4072(a,1),4085(a,1,2)),flip(a)]. 4136 T(x,y) / (x * y) = x / (y * x). [para(4100(a,1),63(a,1,2))]. 4138 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(220,a,151,a,b,4136,a)]. 4139 T(x,x \ y) / y = x / ((x \ y) * x). [para(17(a,1),4136(a,1,2))]. 4141 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(576,a,4138,a)]. 4142 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(220,a,3994,a,b,4064,a),flip(a)]. 4143 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4066(a,1),19(a,1,1))]. 4144 T(x / (x / y),y \ x) = y. [para(4066(a,1),154(a,1,1))]. 4146 T(x / (x / y),x) = L(y,y \ x,y). [para(4066(a,1),621(a,1,1))]. 4149 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4146(a,2),43(a,2,1)),flip(a)]. 4150 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4146(a,2),384(a,1,2))]. 4151 K(x \ y,x) \ x = x * K(x,y / x). [hyper(220,a,3739,a(flip),b,4070,a(flip))]. 4154 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4116(a,2),4110(a,2,2)),flip(a)]. 4156 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4031(a,1),4139(a,1,1))]. 4158 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(120(a,1),4141(a,1,3)),flip(a)]. 4159 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(220,a,1157,a,b,4143,a(flip)),flip(a)]. 4161 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3794,a,4151,a)]. 4162 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),4161(a,1,1,1)),flip(a)]. 4164 K(T(x,y),y) = K(y,x) \ 1. [hyper(220,a,3988,a,b,4162,a(flip)),flip(a)]. 4165 K(T(x,y),y) \ 1 = K(y,x). [para(155(a,1),4162(a,1,2)),flip(a)]. 4167 K(T(x,y),y) * K(y,x) = 1. [para(4164(a,2),2433(a,1,1))]. 4168 x * K(T(y,x),x) = K(x,y) \ x. [para(4164(a,2),3316(a,1,2))]. 4169 R(x,K(x,y),z) = x. [para(4165(a,1),3967(a,1,2))]. 4172 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4169(a,1),114(a,1,1)),flip(a)]. 4173 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4169(a,1),424(a,1,1,1)),flip(a)]. 4176 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4167(a,1),22(a,1)),flip(a)]. 4177 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4167(a,1),209(a,1,2)),flip(b)]. 4179 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4168(a,1),22(a,1))]. 4181 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4164(a,2),4177(a,1))]. 4184 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4159(a,1),19(a,1,1))]. 4186 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(220,a,4020,a(flip),b,4172,a(flip)),flip(a)]. 4188 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(66(a,1),4184(a,1,1,1))]. 4189 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(555,a,4186,a),flip(a)]. 4198 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(220,a,846,a(flip),b,4073,a)]. 4200 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4072(a,1),4113(a,1,2,1))]. 4201 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(220,a,4085,a(flip),b,4135,a)]. 4202 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(220,a,1185,a,b,4142,a(flip)),flip(a)]. 4204 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(213,a,4150,a)]. 4206 T(x,((y / (y / x)) * y) / x) = T(x,(x \ y) * x). [para(4204(a,2),4089(a,1,2,1))]. 4207 R(1 / x,x,y / x) = (x \ y) / y. [hyper(220,a,303,a(flip),b,4158,a)]. 4208 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(220,a,151,a(flip),b,4207,a(flip)),flip(a)]. 4209 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4208(a,1),19(a,1,1))]. 4212 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(220,a,3719,a(flip),b,4052,a)]. 4213 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(220,a,4072,a(flip),b,4212,a(flip))]. 4214 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(220,a,4072,a(flip),b,4213,a(flip))]. 4216 T(x,(y / z) \ 1) = T(x,z / y). [para(66(a,1),4214(a,1,2,1)),flip(a)]. 4219 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4216(a,1),3844(a,1,1,2))]. 4220 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4080(a,1),4069(a,1,2,2,1))]. 4221 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4220(a,1),17(a,1,2)),flip(a)]. 4222 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3771,a,4221,a)]. 4223 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(220,a,3790,a,b,4222,a(flip)),flip(a)]. 4224 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(220,a,3806,a(flip),b,4223,a)]. 4225 K((x \ 1) * y,x) = K(x \ y,x). [para(16(a,1),4224(a,1,1,2)),flip(a)]. 4226 K((1 / x) * y,x) = K(x \ y,x). [hyper(220,a,3830,a,b,4225,a(flip)),flip(a)]. 4227 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(35(a,2),4226(a,2,1))]. 4228 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(63(a,1),4226(a,1,1,1)),flip(a)]. 4229 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(761(a,1),4227(a,1,1))]. 4230 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(220,a,3834,a(flip),b,4229,a(flip)),flip(a)]. 4231 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4230(a,1),4165(a,1,1))]. 4232 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4177,a,4231,a),flip(a)]. 4234 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(610(a,1),4093(a,1,2))]. 4235 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4094(a,1),164(a,1,1,2))]. 4236 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4077(a,1),4094(a,1,2)),flip(a)]. 4237 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4119(a,1),4094(a,1,2)),flip(a)]. 4238 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4127(a,1),4094(a,1,2)),flip(a)]. 4239 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3083(a,1),4156(a,1,1))]. 4240 (x * (y / x)) * (y / (y / x)) = y * x. [para(66(a,1),4188(a,2,2))]. 4241 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(18(a,1),4240(a,1,1,2))]. 4243 (x * y) * ((y * x) / y) = (y * x) * x. [para(18(a,1),4241(a,1,2,2))]. 4245 (x * y) \ ((y * x) * x) != z | (y * x) / y = z. [para(4243(a,1),209(a,1,2)),flip(b)]. 4246 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,4237,a,b,4238,a),flip(a)]. 4248 L(x,K(y,z),L(y,u,w)) = x. [hyper(388,a,4173,a)]. 4250 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4239(a,2),66(a,1,1))]. 4251 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),4219(a,1,1,2,2))]. 4252 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(220,a,3101,a(flip),b,4251,a(flip))]. 4253 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3920(a,1),3968(a,2,2))]. 4254 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2786(a,1),3969(a,1,2))]. 4255 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(220,a,3264,a(flip),b,4254,a(flip))]. 4256 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(220,a,4091,a(flip),b,4125,a)]. 4261 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4252(a,1),3998(a,1,1))]. 4262 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4012,a,4261,a),flip(a)]. 4263 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3982,a,4261,a),flip(a)]. 4265 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(220,a,4198,a(flip),b,4262,a(flip))]. 4266 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(220,a,4073,a(flip),b,4262,a(flip)),flip(a)]. 4269 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,17,a(flip),b,4263,a)]. 4270 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(220,a,4064,a,b,4263,a(flip)),flip(a)]. 4272 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4263,a(flip),b,3994,a),flip(a)]. 4275 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4263(a,1),4063(a,1,2)),flip(a)]. 4279 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(220,a,103,a,b,4275,a)]. 4283 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4266(a,1),1085(a,1))]. 4284 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(317,a,4279,a),flip(a)]. 4289 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4275(a,1),4105(a,1,1))]. 4290 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4289,a),flip(a)]. 4291 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4289(a,1),597(a,1))]. 4296 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4075(a,1),4154(a,1,1,2))]. 4297 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(118(a,1),4296(a,1,1))]. 4298 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4201(a,1),4200(a,1,1))]. 4299 T(x,T(y,T(x,z))) = T(x,y). [hyper(220,a,4113,a(flip),b,4298,a(flip))]. 4302 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(178(a,1),4299(a,1,2,2))]. 4306 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4302(a,1),4149(a,1,1))]. 4307 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3105(a,1),4255(a,1,1)),flip(a)]. 4308 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3949,a,4272,a),flip(a)]. 4309 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(641,a,4308,a),flip(a)]. 4316 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4058,a,4269,a),flip(a)]. 4317 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(220,a,4253,a(flip),b,4316,a(flip)),flip(a)]. 4318 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4270(a,1),4317(a,1,2)),flip(a)]. 4319 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(220,a,180,a(flip),b,4318,a)]. 4321 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1333(a,1),4235(a,1,1))]. 4322 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1056(a,1),4321(a,1,2))]. 4323 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4322,a),flip(a)]. 4325 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4290,a,b,4323,a(flip)),flip(a)]. 4326 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4072(a,1),4325(a,1,1))]. 4327 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3443(a,2),3533(a,1,1))]. 4333 (K(x,x \ 1) * ((y * z) * u)) / (K(x,x \ 1) * (z * u)) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),3646(a,1,2))]. 4337 K(x,x \ 1) * (((y * z) * u) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [hyper(220,a,3591,a(flip),b,4333,a(flip)),flip(a)]. 4338 K(x,x \ 1) * ((R(y,z,u) * (z * u)) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(114(a,2),4337(a,1,2,1))]. 4342 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(66(a,1),4049(a,1,1,2))]. 4343 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(43(a,2),4342(a,1,1))]. 4344 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4343(a,1,1))]. 4345 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(66(a,1),4344(a,1,2,2,2))]. 4346 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(43(a,2),4345(a,1,2,2))]. 4347 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4346(a,1,2,2))]. 4348 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(16(a,1),4347(a,1,2))]. 4350 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = ((1 / x) * ((1 / x) \ T(y,x))) \ ((x \ ((1 / x) \ y)) * x). [para(831(a,1),4348(a,1,1,2)),flip(a)]. 4354 R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(R(x,y,u),K(z,z \ 1),y * u). [hyper(220,a,3666,a(flip),b,4338,a(flip))]. 4355 R(R(x,1 / y,K(z,z \ 1)),K(z,z \ 1) / y,u) = R(R(x,1 / y,u),K(z,z \ 1),(1 / y) * u). [para(3603(a,1),4354(a,1,2))]. 4356 R(R(x,1 / y,K(z \ 1,z)),K(z \ 1,(z \ 1) \ 1) / y,u) = R(R(x,1 / y,u),K(z \ 1,(z \ 1) \ 1),(1 / y) * u). [para(1765(a,1),4355(a,1,1,3))]. 4357 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((x \ ((1 / x) \ y)) * x). [hyper(220,a,333,a(flip),b,4350,a)]. 4359 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(831(a,1),4357(a,2,2))]. 4360 ((1 / x) * ((1 / x) \ y)) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(2770(a,1),4359(a,1,1))]. 4361 T(x,y) \ ((1 / y) \ T(x,y)) = x \ (y * (y \ ((1 / y) \ x))). [hyper(220,a,333,a(flip),b,4360,a(flip))]. 4363 T(x,y) \ ((1 / y) \ T(x,y)) = x \ ((1 / y) \ x). [para(17(a,1),4361(a,2,2))]. 4365 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,(y \ 1) \ 1) / y,z). [para(2594(a,1),4356(a,1,1)),flip(a)]. 4366 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,y) / y,z). [para(1765(a,1),4365(a,2,2,1))]. 4367 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,y \ 1,z). [para(258(a,1),4366(a,2,2))]. 4368 R(R(x,1 / y,z),K(y \ 1,y),(1 / y) * z) = R(x,y \ 1,z). [para(1765(a,1),4367(a,1,2))]. 4369 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),3128(a,1,2,1))]. 4370 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(60(a,1),4369(a,1,2))]. 4372 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(207,a,4370,a)]. 4375 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2331(a,1),4372(a,1,1))]. 4377 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(524(a,1),3294(a,1,1)),flip(a)]. 4378 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(524(a,1),3878(a,1,2,2,2))]. 4379 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(66(a,1),4377(a,1,2,1,1,1))]. 4380 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2907,a,b,4379,a),flip(a)]. 4381 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3236,a(flip),b,4379,a(flip))]. 4382 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(4380(a,1),2823(a,1,2))]. 4383 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4307(a,1),4381(a,1,2))]. 4384 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4383(a,1),230(a,1,1)),flip(a)]. 4385 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4382(a,1),3107(a,1,2))]. 4386 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(4385(a,1),396(a,1))]. 4387 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(4386,a,3597,a)]. 4388 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,105,a(flip),b,4387,a(flip))]. 4389 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,4319,a(flip),b,4388,a(flip)),flip(a)]. 4391 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4389(a,1),3398(a,2,2))]. 4392 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(220,a,4384,a(flip),b,4391,a)]. 4393 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3855,a,4392,a)]. 4395 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,4393,a)]. 4397 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4395(a,1),2911(a,1,2))]. 4398 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4397(a,1),3867(a,1,2)),flip(a)]. 4400 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(220,a,2657,a(flip),b,4398,a)]. 4404 R(x,1 / y,z) = R(x,y \ 1,z). [hyper(220,a,4368,a(flip),b,4400,a(flip))]. 4405 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4400(a,1,3))]. 4408 R(x,y,K(z \ 1,z)) = x. [hyper(220,a,3669,a(flip),b,4405,a(flip)),flip(a)]. 4414 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(220,a,3651,a(flip),b,4408,a(flip))]. 4417 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(220,a,3378,a(flip),b,4408,a(flip))]. 4420 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4408(a,1),114(a,1,1)),flip(a)]. 4421 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4408(a,1),326(a,1,1)),flip(a)]. 4422 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4408(a,1),414(a,1,1))]. 4424 x * K(y \ 1,y) != z * (u * K(y \ 1,y)) | z * u = x. [para(4408(a,1),374(a,1,1)),flip(a)]. 4432 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(63(a,1),4404(a,1,2)),flip(a)]. 4445 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4417(a,1),114(a,1,1))]. 4446 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4432(a,1),114(a,1,1))]. 4452 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4414(a,1),4265(a,1,2,1))]. 4455 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2523,a,4421,a)]. 4461 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(388,a,4420,a)]. 4462 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(220,a,2535,a,b,4420,a)]. 4466 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4461,a)]. 4467 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(220,a,2525,a(flip),b,4461,a(flip)),flip(a)]. 4471 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(4461(a,1),2563(a,1,1))]. 4472 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = 1. [hyper(220,a,2533,a,b,4466,a(flip)),flip(a)]. 4473 a(x,y,K(z,z \ 1)) = 1. [para(1762(a,1),4466(a,1,3))]. 4474 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4473,a)]. 4476 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(220,a,1303,a,b,4467,a(flip)),flip(a)]. 4479 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(220,a,2513,a,b,4422,a)]. 4490 x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. [hyper(555,a,4471,a),flip(a)]. 4500 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = K(u \ 1,u) * L(z,y,x). [para(31(a,2),4479(a,2,2))]. 4501 x \ (y * (K(z \ 1,z) * u)) = K(z \ 1,z) * (x \ (y * u)). [para(4462(a,1),4479(a,1,2))]. 4505 x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. [para(4490(a,1),209(a,1,2)),flip(b)]. 4536 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4283,a,4452,a)]. 4537 T(x * (y / x),z) = x * (T(y,z) / x). [para(4536(a,1),17(a,1,2)),flip(a)]. 4538 T(x * y,z) / y = y \ T(y * x,z). [para(18(a,1),4536(a,1,2,1,2)),flip(a)]. 4539 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4536(a,2),19(a,1,1))]. 4542 T((x \ y) * x,z) / x = x \ T(y,z). [para(62(a,1),4536(a,1,2,1)),flip(a)]. 4547 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(120(a,1),4537(a,2,2,1))]. 4552 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4088(a,1),4537(a,2,2,1))]. 4554 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(220,a,755,a,b,4538,a),flip(a)]. 4555 T(x * (1 / y),z) / (1 / y) = y * T(y \ x,z). [hyper(220,a,762,a(flip),b,4538,a)]. 4556 (x \ T(x * y,z)) * x = T(y * x,z). [para(4538(a,1),19(a,1,1))]. 4559 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4538(a,1),3781(a,1,2))]. 4562 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(62(a,1),4539(a,1,1,2,1)),flip(a)]. 4565 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4542(a,1),214(a,1,1)),flip(b)]. 4572 x * R(y,x,y) = T(y * x,y). [hyper(220,a,3993,a(flip),b,4556,a(flip)),flip(a)]. 4573 x \ T(y * x,y) = R(y,x,y). [hyper(71,a,4556,a(flip),b,3993,a(flip))]. 4576 R(x,y,T(x,y)) = R(x,y,x). [hyper(20,a,960,a,b,4572,a),flip(a)]. 4577 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4572(a,1),31(a,2,2,2)),flip(a)]. 4578 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4572(a,1),1662(a,1,1))]. 4579 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4572(a,1),2324(a,2,1))]. 4580 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(220,a,170,a,b,4576,a(flip)),flip(a)]. 4581 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),4573(a,1,2,1)),flip(a)]. 4582 L(R(x,y,x),y,x) = x. [para(4573(a,1),383(a,1,1))]. 4583 (L(x,y,x) * y) * x = x * (y * x). [para(4582(a,1),424(a,1,1)),flip(a)]. 4584 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(220,a,4246,a,b,4581,a(flip)),flip(a)]. 4586 (x * (y * x)) / x = L(x,y,x) * y. [hyper(87,a,4583,a)]. 4587 x * T(y,x * y) = L(y,x,y) * x. [hyper(21,a,1107,a,b,4583,a),flip(a)]. 4589 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(18(a,1),4584(a,1,2)),flip(a)]. 4591 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(220,a,618,a(flip),b,4586,a)]. 4594 L(x,y,(y * x) / y) = L(x,y,x). [hyper(798,a,4587,a)]. 4595 T(x,y * x) = T(x,x * y). [hyper(20,a,614,a,b,4587,a)]. 4596 T(x,(x \ y) * x) = T(x,y). [hyper(20,a,618,a(flip),b,4587,a)]. 4601 T(x,T(y,y * x)) = T(x,y). [para(4595(a,1),3960(a,1,2))]. 4602 T(x,((y / (y / x)) * y) / x) = T(x,y). [hyper(220,a,4206,a,b,4596,a(flip)),flip(a)]. 4603 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4596(a,1),4078(a,1,1,2))]. 4607 T(x,L(y,x,y)) = T(x,y). [hyper(220,a,4095,a(flip),b,4601,a(flip)),flip(a)]. 4609 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4607(a,1),118(a,1,2))]. 4611 L(x \ y,x,y / x) = L(x \ y,x,x \ y). [para(17(a,1),4594(a,1,3,1))]. 4614 T((x \ y) * x,y) = (x \ y) * x. [para(117(a,1),4562(a,2,1,2))]. 4615 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4562(a,1),118(a,1,2))]. 4616 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(120(a,1),4562(a,2,1,2))]. 4617 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4562(a,2),3908(a,1,1,1,2))]. 4618 T(x,(y \ x) * y) = x. [hyper(38,a,4614,a)]. 4619 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4618(a,1),3947(a,1,1)),flip(a)]. 4622 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(220,a,4234,a,b,4609,a(flip)),flip(a)]. 4628 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4547(a,1),118(a,1,2)),flip(a)]. 4629 ((x / (x / y)) * x) / y = (y \ x) * T(y,x). [para(4204(a,2),4591(a,1,1))]. 4630 L(x \ y,x,x \ y) = T(y / x,y). [hyper(649,a,4611,a),flip(a)]. 4631 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(120(a,1),4615(a,1,2,1,2)),flip(a)]. 4633 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4616(a,1),155(a,1,1,2))]. 4635 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(4050,a,4619,a)]. 4636 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(4068(a,1),4635(a,1,1))]. 4637 K(x \ T(y,x),x) = K(x \ y,x). [para(155(a,1),4636(a,1,1,2)),flip(a)]. 4639 K(T(x,y) \ y,x) = K(x \ y,x). [hyper(220,a,4108,a,b,4637,a(flip)),flip(a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [para(4629(a,1),4602(a,1,2))]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1141(a,1,1))]. 4645 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(220,a,4236,a,b,4578,a(flip)),flip(a)]. 4646 T(x * y,x) * T(x,y) != z * u | z \ ((x * y) * R(x,y,x)) = u. [para(4578(a,2),485(a,1))]. 4649 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(220,a,4537,a,b,4552,a)]. 4651 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1244(a,1),4554(a,2,1,1))]. 4657 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(21,a,4562,a(flip),b,4603,a)]. 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3909,a,4628,a),flip(a)]. 4662 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(150(a,2),4628(a,2,2,2,1))]. 4663 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(220,a,3686,a,b,4631,a(flip)),flip(a)]. 4664 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(151(a,2),4631(a,1,1,1,2))]. 4665 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4633(a,1),214(a,1,1)),flip(b)]. 4666 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4645(a,1),4577(a,1,2))]. 4667 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(220,a,4216,a,b,4649,a(flip)),flip(a)]. 4676 a(x,K(y \ 1,y),z) = 1. [hyper(220,a,3566,a(flip),b,4472,a(flip)),flip(a)]. 4678 L(x,K(y \ 1,y),z) = x. [hyper(36,a,4676,a)]. 4679 (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [para(4678(a,1),389(a,1,2,2,1))]. 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4476(a,1),17(a,1,2))]. 4683 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(220,a,1092,a,b,4559,a(flip)),flip(a)]. 4684 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2645,a,4682,a)]. 4685 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(160,a,1300,a,b,4684,a)]. 4687 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4445(a,1),23(a,1))]. 4688 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4446(a,1),23(a,1))]. 4693 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) != w | L(u,K(x \ 1,x) * z,y) = w. [para(4501(a,1),3561(a,1))]. 4696 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4665,a,4683,a)]. 4706 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4500(a,1,2))]. 4707 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4706(a,1,2,2))]. 4708 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(396,a,4707,a)]. 4709 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(220,a,2513,a(flip),b,4708,a)]. 4711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2648(a,1),4708(a,1,1)),flip(a)]. 4715 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4711,a),flip(a)]. 4716 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(220,a,3257,a(flip),b,4711,a(flip)),flip(a)]. 4721 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4716(a,1),62(a,1,2,1)),flip(a)]. 4722 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(62(a,1),4716(a,1,1,2,1)),flip(a)]. 4724 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(4722(a,1),43(a,2,1))]. 4725 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(217(a,1),4722(a,2,1,2))]. 4726 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(400(a,1),4722(a,2,1,2))]. 4727 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4722(a,1),212(a,1,2))]. 4738 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1770(a,1),4715(a,1,1)),flip(a)]. 4739 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4738(a,1),3633(a,1,1)),flip(a)]. 4740 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4738(a,1),3642(a,1,1))]. 4741 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(220,a,1313,a(flip),b,4739,a(flip)),flip(a)]. 4742 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4725(a,1),103(a,1,2))]. 4747 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y). [hyper(71,a,4726,a(flip),b,180,a),flip(a)]. 4750 x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. [hyper(4727,a,2320,a)]. 4751 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(54(a,1),4747(a,2,2,1,2))]. 4752 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(220,a,4696,a(flip),b,4751,a(flip)),flip(a)]. 4754 (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). [para(2876(a,1),4750(a,1,2)),flip(a)]. 4755 x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. [para(16(a,1),4754(a,1,1,2,1)),flip(a)]. 4756 (x * K(y,z)) * z = x * (z * K(y,z)). [para(16(a,1),4755(a,1,2,2,1)),flip(a)]. 4757 R(x,K(y,z),z) = x. [hyper(2879,a,4756,a)]. 4759 (x * (y * K(z,y))) / y = x * K(z,y). [hyper(87,a,4756,a)]. 4760 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(78,a,4756,a)]. 4763 (x * y) \ ((y * x) * x) = K(y,x) * x. [para(4757(a,1),452(a,1,1))]. 4764 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(4759(a,1),214(a,1,1)),flip(b)]. 4766 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(654,a,4760,a)]. 4767 L(x,K(y,x),z) = x. [para(2857(a,1),4766(a,1,1))]. 4769 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(4767(a,1),392(a,1,2,1))]. 4770 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(4767(a,1),393(a,1,2,1))]. 4776 (x * y) / x = K(x,y) * y. [hyper(4245,a,4763,a)]. 4777 K(x,y) = x \ T(x,y). [hyper(3710,a,4776,a),flip(a)]. 4778 (x * y) / x = y * K(x,y). [hyper(220,a,2858,a(flip),b,4776,a)]. 4782 T(K(x,y) * y,x) = y. [para(4776(a,1),154(a,1,1))]. 4784 (x * y) / x != z | y * K(x,y) = z. [para(4776(a,2),2862(a,1))]. 4785 K(x,y) = T(y,x) \ y. [hyper(220,a,4060,a,b,4777,a)]. 4786 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(220,a,3985,a,b,4777,a),flip(a)]. 4787 (T(x,y) * z) / (x * z) = K(x,y). [hyper(220,a,3980,a,b,4777,a),flip(a)]. 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(220,a,3696,a,b,4777,a),flip(a)]. 4791 K(x,y) = T(x,y) / x. [hyper(220,a,2939,a,b,4777,a)]. 4792 K(x,y) = T(x,y) * (x \ 1). [hyper(220,a,812,a,b,4777,a)]. 4793 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(220,a,3770,a(flip),b,4777,a),flip(a)]. 4794 x * T(x \ 1,y) = K(x \ 1,y). [hyper(220,a,2942,a(flip),b,4777,a),flip(a)]. 4795 x * T(x \ 1,y) = K(1 / x,y). [hyper(220,a,815,a(flip),b,4777,a),flip(a)]. 4800 x \ T(x,y) = T(K(x,y),x). [hyper(220,a,3043,a,b,4777,a(flip))]. 4801 T(x,y) = x * K(x,y). [para(4777(a,2),17(a,1,2)),flip(a)]. 4802 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4777(a,2,2)),flip(a)]. 4803 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4777(a,2,2)),flip(a)]. 4804 x * K(x,y) != z | T(x,y) = z. [para(4777(a,2),208(a,1,2)),flip(b)]. 4805 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4777(a,2),105(a,1,1)),flip(a)]. 4809 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4777(a,2),1049(a,1,1))]. 4810 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1385(a,1),4777(a,2,2))]. 4812 T(x,y) = K(x,y) * x. [para(4777(a,2),2940(a,1,1)),flip(a)]. 4813 K(x,y) * x != z | T(x,y) = z. [para(4777(a,2),2946(a,1,1))]. 4815 (x * K(y,x)) * y = y * x. [para(4777(a,2),3690(a,1,1,2))]. 4816 (x \ y) * K(x,x \ y) = y / x. [para(4777(a,2),3692(a,1,2))]. 4817 x * K(y,x) != z | (y * x) / y = z. [para(4777(a,2),3705(a,1,2))]. 4818 x * (K(x,y) * z) = T(x,y) * z. [para(4777(a,2),3915(a,1,2,1))]. 4819 x \ T(x,y \ x) = K(x,x / y). [para(3940(a,1),4777(a,2,2)),flip(a)]. 4821 T(x,y) * (x \ z) = K(x,y) * z. [para(4777(a,2),3920(a,1,1)),flip(a)]. 4822 K(x,x \ y) * y = x * (y / x). [para(4777(a,2),3975(a,1,1))]. 4824 T(x * K(y,x),y) = x. [para(2858(a,1),4782(a,1,1))]. 4825 K(x,y) = ((y * x) / y) \ x. [hyper(220,a,3702,a,b,4785,a)]. 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(220,a,2837,a,b,4785,a)]. 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(220,a,905,a,b,4785,a)]. 4830 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(220,a,3478,a(flip),b,4785,a),flip(a)]. 4834 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4785,a,b,905,a),flip(a)]. 4835 T(x,y) * K(y,x) = x. [para(4785(a,2),17(a,1,2))]. 4836 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(43(a,2),4785(a,2,1)),flip(a)]. 4837 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4785(a,2,1)),flip(a)]. 4844 K(x,y) * T(y,x) = y. [para(4785(a,2),2844(a,1,1))]. 4845 T(x,y) = K(y,x) \ x. [para(4785(a,2),2845(a,1,1)),flip(a)]. 4847 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4785(a,2),3151(a,1,2))]. 4848 K(x \ K(x,y),x) = K(x \ 1,x). [para(4785(a,2),3214(a,1,1,2))]. 4849 K(x,y) * ((y * x) / y) = x. [para(4785(a,2),3703(a,1,1))]. 4850 x / (x / y) = y * K(y \ x,y). [para(4785(a,2),3727(a,2,2))]. 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4785(a,2),3994(a,2,1))]. 4853 K(x,y) * (y * x) = x * y. [para(4785(a,2),3999(a,1,1))]. 4856 x * (T(x,y) \ z) = K(y,x) * z. [para(4785(a,2),4262(a,1,1)),flip(a)]. 4857 K(x,y) * (T(y,x) * z) = y * z. [para(4785(a,2),4263(a,1,1))]. 4858 K(x \ 1,y) / x = T(1 / x,y). [hyper(72,a,4791,a,b,843,a(flip))]. 4861 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4791(a,2),841(a,1))]. 4862 K(x \ 1,x) * (K(x,y) * z) = ((x \ 1) * T(x,y)) * z. [para(4791(a,2),3369(a,1,2,1))]. 4866 T(x,y) != x * z | K(x,y) = z. [para(4801(a,2),22(a,1))]. 4869 x \ T(x,y) != z | K(x,y) = z. [para(4801(a,2),209(a,1,2)),flip(b)]. 4870 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4801(a,2),115(a,2,1))]. 4872 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4801(a,2),1310(a,1,2)),flip(a)]. 4873 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3038(a,1),4801(a,2,2)),flip(a)]. 4875 K(x,y) * (x * z) = T(x,y) * z. [para(4801(a,2),4020(a,1,1)),flip(a)]. 4876 x * (y * K(x,y)) = T(x,y) * y. [para(4801(a,2),4756(a,1,1)),flip(a)]. 4878 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(220,a,41,a,b,4812,a(flip))]. 4883 x * (K(y,x) * y) = y * x. [para(4812(a,1),118(a,1,2))]. 4897 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4824(a,1),173(a,1,2,1)),flip(a)]. 4898 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4824(a,1),354(a,1,1,2)),flip(a)]. 4899 (x * (y * K(z,y))) * T(y * K(z,y),z) = (x * y) * (y * K(z,y)). [para(4824(a,1),1103(a,1,1,2)),flip(a)]. 4904 T(K(x,y \ 1) / y,x) = 1 / y. [para(3823(a,1),4824(a,1,1))]. 4905 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4824(a,1),4087(a,1,2,1)),flip(a)]. 4909 T(x,y) \ x != z | K(y,x) = z. [para(4835(a,1),209(a,1,2)),flip(b)]. 4915 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4845(a,2),2232(a,1,2,1))]. 4916 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3784,a,4778,a)]. 4917 x \ (T(x * y,x) / y) = K(x * y,x). [hyper(958,a,4778,a)]. 4921 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4778,a,b,1181,a)]. 4922 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(25,a,4778,a)]. 4925 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(220,a,4256,a(flip),b,4778,a(flip))]. 4926 x \ T(x * y,y) = y * K(x * y,y). [hyper(220,a,3957,a(flip),b,4778,a(flip)),flip(a)]. 4928 T(x,y) * K(y,T(x,y)) = x. [hyper(220,a,155,a(flip),b,4778,a(flip))]. 4929 ((x * y) * K(y \ 1,x * y)) / y = (y \ 1) * (x / (y \ 1)). [hyper(72,a,4778,a(flip),b,3281,a(flip))]. 4930 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(114(a,1),4778(a,1,1))]. 4933 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4778(a,1),354(a,2,1)),flip(a)]. 4934 T(x * K(y * x,x),y) = R(x,y,x). [para(4778(a,1),656(a,2,1)),flip(a)]. 4935 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4778(a,1),697(a,1,1))]. 4936 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4778(a,1),705(a,1,1))]. 4938 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4778(a,1),621(a,1,1))]. 4944 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1651(a,1),4778(a,1,1))]. 4945 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1921(a,1),4778(a,1,1))]. 4948 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x * K(z,y),y). [para(4756(a,1),4778(a,1,1))]. 4952 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4792(a,2),396(a,1,2,2))]. 4953 T(x,L(x,y,z) * u) * K(u,T(x,L(x,y,z) * u)) = L(x,u,L(x,y,z)). [hyper(21,a,1349,a(flip),b,4815,a)]. 4955 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4815(a,1),429(a,1,1,1))]. 4960 K(x,y) / x = 1 / ((y * x) / y). [para(4825(a,2),2979(a,1,1))]. 4961 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(72,a,2474,a(flip),b,4827,a(flip))]. 4963 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3520(a,1),4827(a,2,1,2))]. 4965 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. 4968 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(220,a,559,a(flip),b,4834,a(flip)),flip(a)]. 4969 T(x,y) = 1 / (x \ K(y,x)). [para(4834(a,1),63(a,1,2)),flip(a)]. 4970 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4834(a,1),274(a,1,2)),flip(b)]. 4972 K(x \ y,x) * (y / x) = x \ y. [para(17(a,1),4849(a,1,2,1))]. 4976 K(x \ y,x) * y = (x \ y) * x. [hyper(555,a,4853,a)]. 4980 ((x * K(y,z)) * (z * y)) / (y * z) = R(x,K(y,z),z * y). [para(4853(a,1),33(a,2,2)),flip(a)]. 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4853(a,1,2))]. 4983 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4853(a,1),390(a,1,1))]. 4986 K(x,T(y,x)) = K(x,y). [hyper(20,a,4835,a,b,4928,a)]. 4987 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),4986(a,1,2))]. 4989 K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)). [para(45(a,2),4986(a,1,2))]. 4990 K(x,y / x) = K(x,x \ y). [para(120(a,1),4986(a,1,2)),flip(a)]. 4992 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(177(a,1),4986(a,1,2)),flip(a)]. 4993 K(x,y * K(x,y)) = K(x,y). [para(4824(a,1),4986(a,1,2)),flip(a)]. 5000 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(220,a,4222,a(flip),b,4990,a(flip))]. 5001 x * K(y,y \ x) = y * (x / y). [para(4990(a,1),235(a,1,2))]. 5002 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3038(a,1),4804(a,1,2))]. 5008 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3985(a,2),4869(a,1))]. 5009 T(K(x,y),x) != z | K(x,y) = z. [para(4800(a,1),4869(a,1))]. 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(43(a,2),4909(a,1,1))]. 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(45(a,2),4909(a,1,1))]. 5016 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4054(a,2),4909(a,1))]. 5018 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(2738(a,2),5009(a,1))]. 5019 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2739(a,1),5009(a,1))]. 5022 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4787(a,1),214(a,1,1)),flip(b)]. 5027 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2198,a,4794,a)]. 5030 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(220,a,2205,a(flip),b,4794,a(flip)),flip(a)]. 5031 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(220,a,1222,a(flip),b,4794,a(flip)),flip(a)]. 5032 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(220,a,1169,a(flip),b,4794,a(flip)),flip(a)]. 5035 L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x). [para(4794(a,1),526(a,1,2)),flip(a)]. 5037 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4794(a,1),758(a,1,2))]. 5039 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4794(a,1),1032(a,1,1))]. 5040 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4794(a,1),1168(a,1,2)),flip(a)]. 5043 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4794(a,1),1435(a,2,1))]. 5044 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4794(a,1),1613(a,1,1)),flip(a)]. 5045 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4794(a,1),2059(a,2,1,2))]. 5046 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4794(a,1),2203(a,1,1)),flip(a)]. 5052 (x * y) * T((x * y) \ y,z) = K(1 / x,z) * y. [para(4795(a,1),1414(a,2,1))]. 5059 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [para(4816(a,1),4759(a,1,1,2))]. 5061 x \ (T(x,y) * z) = K(x,y) * z. [hyper(78,a,4818,a)]. 5062 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,17,a(flip),b,4818,a),flip(a)]. 5063 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(20,a,4142,a,b,4818,a),flip(a)]. 5064 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,907,a,b,4818,a)]. 5066 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,4622,a(flip),b,4818,a)]. 5070 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4818(a,1),27(a,2,2,1)),flip(a)]. 5071 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(118(a,1),4818(a,1,2)),flip(a)]. 5072 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4818(a,1),209(a,1,2)),flip(b)]. 5074 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,K(x,y) * z,x). [para(4818(a,1),4573(a,1,2,1))]. 5075 K(x,x / y) = K(x,y \ x). [hyper(4869,a,4819,a),flip(a)]. 5076 K(x,(y \ x) \ x) = K(x,y). [para(63(a,1),5075(a,1,2)),flip(a)]. 5077 K(x,T(y,y \ x)) = K(x,y). [para(119(a,2),5076(a,1,2))]. 5078 K(x * y,T(x,y)) = K(x * y,x). [para(16(a,1),5077(a,1,2,2))]. 5081 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(928,a,4821,a)]. 5082 (x \ y) * T(T(x,x \ y),z) = K(x,z) * y. [hyper(783,a,4821,a)]. 5083 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(782,a,4821,a)]. 5085 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(220,a,3052,a,b,4821,a)]. 5086 T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)). [hyper(71,a,118,a(flip),b,4821,a)]. 5087 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(220,a,4202,a,b,4821,a(flip)),flip(a)]. 5088 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4270,a(flip),b,4821,a(flip))]. 5090 K(x,y) * ((z \ x) * z) = T(x,y) * K(z \ x,z). [para(99(a,1),4821(a,1,2)),flip(a)]. 5092 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4777(a,2),4821(a,1,2)),flip(a)]. 5095 R(x,K(y,y \ z),z) * (y * (z / y)) = (x * K(y,y \ z)) * z. [para(4822(a,1),114(a,1,2))]. 5096 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4822(a,1),396(a,1,1))]. 5102 K(x,y) * K(x \ 1,x) != z | (x \ K(x,y)) * x = z. [para(4848(a,1),337(a,1,2))]. 5107 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4082(a,2),4850(a,1,2)),flip(a)]. 5108 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4637(a,1),4850(a,2,2))]. 5112 T(x,y) \ (x * z) = K(y,x) * z. [hyper(966,a,4856,a)]. 5113 (T(x,y) \ z) / (x \ z) = K(y,x). [hyper(929,a,4856,a)]. 5114 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(927,a,4856,a),flip(a)]. 5115 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(78,a,4856,a)]. 5120 T(x,y) * (K(y,x) * z) = x * z. [para(4856(a,1),899(a,1,2))]. 5122 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4856(a,1),927(a,1))]. 5124 T(K(x,y),T(y,x) * z) = (T(y,x) * z) \ (y * z). [hyper(160,a,4857,a,b,17,a)]. 5127 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4857(a,1),555(a,1))]. 5128 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4857(a,1),390(a,1,1)),flip(a)]. 5130 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(591(a,1),4858(a,1,1)),flip(a)]. 5132 K(x,y) \ x = x * K(y,x). [hyper(71,a,4835,a(flip),b,4875,a)]. 5133 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(45(a,2),4875(a,2,1))]. 5137 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4875(a,1),555(a,1))]. 5141 K(T(x,y),y) = K(x,y). [hyper(4179,a,5132,a)]. 5142 K(x,y) \ 1 = K(y,x). [hyper(3317,a,5132,a)]. 5147 K(x / y,y) = K(y \ x,y). [para(120(a,1),5141(a,1,1)),flip(a)]. 5148 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(119(a,1),5141(a,1,1))]. 5150 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(664(a,1),5141(a,1,1)),flip(a)]. 5151 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(659(a,1),5141(a,1,1)),flip(a)]. 5153 K(x,y) * K(y,x) = 1. [para(5141(a,1),4167(a,1,1))]. 5154 K(x,y) * z != 1 | K(y,x) = z. [para(5141(a,1),4176(a,1,1))]. 5155 K(x,y) \ 1 != z | K(y,x) = z. [para(5141(a,1),4177(a,1,1))]. 5156 K(x,T(y,x)) != z | K(x,y) = z. [para(5141(a,1),4181(a,1))]. 5161 1 / K(x,y) = K(y,x). [hyper(220,a,2432,a,b,5142,a(flip)),flip(a)]. 5163 1 / K(x,y) != z | K(y,x) = z. [para(5142(a,1),274(a,1,2)),flip(b)]. 5165 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5142(a,1),1547(a,2,2,1))]. 5167 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5142(a,1),4792(a,2,2)),flip(a)]. 5168 K(x,x \ y) \ 1 = K(y / x,x). [para(4990(a,1),5142(a,1,1))]. 5172 (x * (y / x)) \ y = K(x \ y,x). [hyper(220,a,102,a,b,5147,a(flip)),flip(a)]. 5183 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(886(a,1),5156(a,1,2))]. 5193 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(671(a,1),4960(a,2,2))]. 5194 1 / (x * K(y,x)) = K(x,y) / x. [para(4778(a,1),4960(a,2,2)),flip(a)]. 5199 (x * K(y \ z,y)) * z != u * ((y \ z) * y) | R(x,K(y \ z,y),z) = u. [para(4976(a,1),418(a,2,2))]. 5203 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5000(a,1),4822(a,1,1))]. 5206 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5001(a,1),31(a,2,1)),flip(a)]. 5212 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5062(a,1),22(a,1))]. 5213 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(119(a,1),5062(a,1,2,1))]. 5216 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),5081(a,1,2,1))]. 5217 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),5088(a,1,2,1))]. 5219 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(4126,a,5112,a)]. 5221 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5112(a,1),208(a,1,2)),flip(b)]. 5228 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4835(a,1),5112(a,1,2)),flip(a)]. 5229 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5112(a,1),4856(a,1,2)),flip(a)]. 5237 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(971,a,5120,a)]. 5238 K(x,y) * (K(y,x) * z) = z. [hyper(20,a,4818,a(flip),b,5120,a)]. 5242 K(x,y) \ z = K(y,x) * z. [hyper(555,a,5238,a),flip(a)]. 5244 x / (K(y,z) * x) = K(z,y). [hyper(87,a,5238,a)]. 5245 K(x \ y,x) * (x * (y / x)) = y. [hyper(20,a,4822,a,b,5238,a)]. 5249 K(x,y) * z != u | K(y,x) * u = z. [para(5238(a,1),22(a,1)),flip(a)]. 5252 K(x,y) \ z != u | K(y,x) * z = u. [para(5238(a,1),209(a,1,2)),flip(b)]. 5253 x / (K(y,z) * x) != u | K(z,y) = u. [para(5238(a,1),272(a,1,1)),flip(b)]. 5255 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5238(a,1),105(a,2,1))]. 5256 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5238(a,1),105(a,2,2))]. 5258 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5238(a,1),390(a,1,1)),flip(a)]. 5265 K(x,y) * (K(y,x) * z) != u | u = z. [para(5242(a,1),208(a,1,2))]. 5267 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5242(a,1),217(a,1,1))]. 5273 K(x,y) != z | K(y,x) \ 1 = z. [para(5244(a,1),204(a,1)),flip(b)]. 5276 K(x / y,y) != z | K(y \ x,y) = z. [para(5168(a,1),5155(a,1))]. 5277 (x * (y / x)) * K(x \ y,x) = y. [para(5172(a,1),17(a,1,2))]. 5279 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4537(a,2),5172(a,1,1))]. 5281 (K(x,y) / x) \ 1 = x * K(y,x). [para(5194(a,1),66(a,1,1))]. 5286 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5245(a,1),4556(a,2,1))]. 5293 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1764(a,2),4963(a,2,1))]. 5295 K(x \ 1,y) != z | K(1 / x,y) = z. [para(524(a,1),5018(a,1,1))]. 5298 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2499(a,1),5265(a,1,2))]. 5305 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(755(a,1),4786(a,1,1))]. 5306 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(3351,a,4790,a)]. 5307 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1062,a,4790,a)]. 5309 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(220,a,2113,a(flip),b,4790,a(flip)),flip(a)]. 5310 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1390(a,2,2))]. 5312 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1540(a,1,2))]. 5314 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1977(a,2,1))]. 5316 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),1974(a,2,2))]. 5317 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2366(a,1,1))]. 5318 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(220,a,4777,a,b,4810,a)]. 5345 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4830(a,1),17(a,1,2)),flip(a)]. 5353 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(615(a,1),4852(a,1,2,1))]. 5355 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4778(a,1),4852(a,1,2,1))]. 5356 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4878(a,1),4813(a,1))]. 5358 x \ (y * T(y \ x,x)) = K(x * (1 / y),x). [para(4555(a,1),4917(a,1,2))]. 5362 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(220,a,4778,a(flip),b,4933,a),flip(a)]. 5364 T(x * K(x * y,x),y) = R(x,y,x). [hyper(220,a,4580,a(flip),b,4933,a)]. 5365 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4933,a,b,4778,a(flip))]. 5370 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4933(a,2),4784(a,1))]. 5374 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(17(a,1),5063(a,1,1,1)),flip(a)]. 5377 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(220,a,4091,a,b,5064,a),flip(a)]. 5380 ((x * y) / x) * (K(y,x) * z) = y * z. [para(5087(a,1),17(a,1,2))]. 5381 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(220,a,3050,a(flip),b,5092,a)]. 5390 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5229(a,1),114(a,2,1))]. 5391 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5229(a,1),555(a,1))]. 5394 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(87,a,5237,a)]. 5396 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(254(a,2),5237(a,1,2,2,1))]. 5407 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(71,a,2858,a(flip),b,5355,a),flip(a)]. 5412 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4857(a,1),5380(a,1,2))]. 5413 ((x * y) / x) * z = y * (K(x,y) * z). [para(5238(a,1),5380(a,1,2))]. 5415 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(893(a,1),5394(a,1,2))]. 5416 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1219(a,1),5394(a,1,2))]. 5429 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(220,a,4922,a(flip),b,5413,a(flip)),flip(a)]. 5430 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(17(a,1),5413(a,1,1,1)),flip(a)]. 5431 T(x,y) * (K(x * y,T(x,y)) * z) = R(x,y,T(x,y)) * z. [para(170(a,1),5413(a,1,1)),flip(a)]. 5439 R(x,K(y,x),z) = x. [hyper(4687,a,5429,a)]. 5442 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5439(a,1),423(a,1,1,1)),flip(a)]. 5446 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(220,a,3699,a(flip),b,4921,a(flip)),flip(a)]. 5447 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5446(a,1),1836(a,1,1,2))]. 5452 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(118(a,1),5022(a,1,2))]. 5456 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(5112(a,1),5127(a,1,2))]. 5458 (x \ y) * T(T(x,x \ y),z) != u | K(x,z) * y = u. [para(171(a,2),5137(a,1))]. 5459 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5115(a,1),5137(a,1,2))]. 5464 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2040(a,1),5221(a,1,2))]. 5467 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4777(a,2),4793(a,1,1)),flip(a)]. 5468 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(66(a,1),5467(a,2,1,2))]. 5469 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5467(a,2),118(a,1,2))]. 5470 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3806(a,1),5467(a,2,1))]. 5477 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5345(a,1),5468(a,1,2))]. 5480 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4815,a,b,4897,a),flip(a)]. 5486 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(220,a,4778,a(flip),b,4935,a),flip(a)]. 5487 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4935,a,b,4776,a(flip))]. 5489 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4936,a,b,4778,a(flip))]. 5490 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4936(a,2),4068(a,1,1))]. 5491 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4936(a,2),4825(a,2,1)),flip(a)]. 5492 K((x / y) \ 1,z) = K(y / x,z). [hyper(220,a,4786,a(flip),b,5031,a(flip))]. 5496 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(741(a,1),5031(a,1,1))]. 5497 K(1 / (x / y),z) = K(y / x,z). [hyper(5295,a,5492,a)]. 5502 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5492(a,1),5142(a,1,1)),flip(a)]. 5503 K(x / (y * x),z) = K(1 / y,z). [para(18(a,1),5497(a,1,1,2)),flip(a)]. 5504 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5497(a,1),3068(a,1))]. 5509 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5503(a,2),3068(a,1))]. 5510 K(x,(y / z) \ 1) = K(x,z / y). [hyper(220,a,5142,a(flip),b,5502,a)]. 5511 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5502(a,2),5155(a,1))]. 5514 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),5510(a,1,2,1)),flip(a)]. 5516 K(x,(y \ z) / z) = K(x,y \ 1). [para(63(a,1),5510(a,1,2,1)),flip(a)]. 5517 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(115(a,2),5510(a,1,2,1))]. 5523 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(17(a,1),5509(a,1,1,2))]. 5529 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1219(a,1),5032(a,1,2))]. 5531 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1085,a,5040,a)]. 5533 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(854,a,5040,a),flip(a)]. 5534 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(757,a,5040,a),flip(a)]. 5535 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(631,a,5040,a),flip(a)]. 5536 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(220,a,893,a(flip),b,5040,a(flip)),flip(a)]. 5547 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5016,a,5044,a)]. 5549 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(66(a,1),5547(a,2,1,1))]. 5551 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3041(a,1),5547(a,2,1))]. 5554 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5551(a,1),5161(a,1,2)),flip(a)]. 5559 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(220,a,1160,a(flip),b,5059,a(flip)),flip(a)]. 5560 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5083(a,2),161(a,2)),flip(a)]. 5563 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5108(a,1),4306(a,1,1,1))]. 5568 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5130(a,1),41(a,1,1)),flip(a)]. 5571 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(220,a,3748,a,b,5203,a)]. 5576 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5213(a,1),5265(a,1,2)),flip(b)]. 5577 K(x / (y \ 1),y) = K(y * x,y). [hyper(220,a,5219,a(flip),b,5305,a(flip))]. 5578 K(x * (y \ (x \ 1)),x) = K(y \ 1,x). [hyper(5523,a,5577,a),flip(a)]. 5589 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5365(a,1),208(a,1,2)),flip(b)]. 5596 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5249,a,5374,a)]. 5617 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(120(a,1),5469(a,1,2,2,1)),flip(a)]. 5621 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(220,a,5470,a(flip),b,5554,a(flip))]. 5622 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(220,a,2439,a(flip),b,5621,a(flip)),flip(a)]. 5623 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5621(a,1),4827(a,2,1)),flip(a)]. 5624 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5622(a,1),184(a,1,2)),flip(a)]. 5625 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5622(a,1),4828(a,2,2)),flip(a)]. 5626 K(K(x,y),z) = K(z,K(y,x)). [hyper(220,a,5167,a(flip),b,5623,a(flip)),flip(a)]. 5627 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5626(a,1),4801(a,2,2)),flip(a)]. 5628 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5626(a,1),4812(a,2,1)),flip(a)]. 5629 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5626(a,1),4875(a,1,1))]. 5631 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5625(a,1),5430(a,1,2)),flip(a)]. 5632 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5627(a,1),5265(a,1,2)),flip(b)]. 5634 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(18(a,1),5559(a,1,1)),flip(a)]. 5636 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5571(a,1),5244(a,1,2))]. 5643 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3520(a,1),4803(a,1,2,1)),flip(a)]. 5644 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3520(a,1),4837(a,1,1,1)),flip(a)]. 5654 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5031(a,1),5008(a,1))]. 5658 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3671(a,2),5293(a,2,1,2))]. 5659 T(x,K(y,y \ 1)) != z | z = x. [para(2667(a,1),5298(a,1))]. 5661 T(x / y,y) != z | y \ x = z. [para(1505(a,1),5659(a,1)),flip(b)]. 5662 T(x,x \ y) != z | (x \ y) \ y = z. [para(3053(a,1),5659(a,1)),flip(b)]. 5667 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(45(a,2),5662(a,1))]. 5677 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(2127(a,2),5632(a,1))]. 5678 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5167(a,1),5677(a,1))]. 5679 R(x,K(y,z),T(z,u)) = x. [hyper(418,a,4769,a)]. 5680 (x * K(y,z)) * T(z,y) = x * z. [para(4844(a,1),4769(a,2,2))]. 5681 (x / T(y,z)) * y = x * K(z,y). [hyper(1127,a,5680,a)]. 5683 (x * y) / T(y,z) = x * K(z,y). [hyper(87,a,5680,a)]. 5684 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,5680,a)]. 5685 (x / y) * K(z,y) = x / T(y,z). [hyper(72,a,19,a(flip),b,5680,a),flip(a)]. 5686 (x * T(y,z)) * K(z,y) = x * y. [hyper(21,a,1103,a(flip),b,5680,a)]. 5702 (x \ y) * K(y,x) = x \ T(y,x). [hyper(220,a,4657,a(flip),b,5683,a(flip))]. 5710 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(5685(a,1),269(a,1))]. 5713 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(160,a,5686,a,b,5238,a)]. 5717 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(71,a,17,a(flip),b,5686,a)]. 5719 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(5686(a,1),209(a,1,2)),flip(b)]. 5722 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(5686(a,1),421(a,1,2)),flip(a)]. 5726 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5702(a,1,1)),flip(a)]. 5732 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(893(a,1),5717(a,1,1))]. 5733 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(742(a,1),5717(a,1,1))]. 5734 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1410(a,1),5717(a,1,1))]. 5740 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(17(a,1),5719(a,1,2))]. 5745 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(742(a,1),5740(a,1,1))]. 5751 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(220,a,2359,a,b,5027,a(flip)),flip(a)]. 5753 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4794(a,1),5027(a,1,1))]. 5754 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(66(a,1),5753(a,1,1,1)),flip(a)]. 5755 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5753(a,1),114(a,1,1))]. 5756 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3041(a,1),5753(a,1,1)),flip(a)]. 5757 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5754(a,1),5753(a,1,1)),flip(a)]. 5763 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4794(a,1),5030(a,1,1))]. 5765 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3041(a,1),5763(a,1,1)),flip(a)]. 5767 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5549(a,1),5763(a,1,1)),flip(a)]. 5769 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5765(a,1),5142(a,1,1)),flip(a)]. 5770 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5765(a,1),5242(a,1,1)),flip(a)]. 5772 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5037(a,2),1508(a,1,1))]. 5775 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5039(a,2),5043(a,1,2))]. 5776 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5046(a,1),5016(a,1))]. 5778 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(3039(a,1),5052(a,2,1))]. 5779 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(5085(a,1),22(a,1)),flip(a)]. 5788 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1061(a,1),5309(a,1,1))]. 5794 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4631(a,1),5415(a,1,2))]. 5795 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4663(a,1),5416(a,1,2))]. 5796 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5531(a,1),17(a,1,2))]. 5803 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5510(a,1),5617(a,1,1)),flip(a)]. 5806 T(T(x,K(y,z)),K(z,y)) = x. [hyper(20,a,5377,a,b,5629,a(flip)),flip(a)]. 5808 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5806(a,1),118(a,1,2)),flip(a)]. 5827 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(66(a,1),5775(a,1,2,1,1))]. 5829 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3041(a,1),5775(a,1,2,1))]. 5830 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5142(a,1),5796(a,1,2,2,1,1,2))]. 5831 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(21,a,5681,a,b,5035,a),flip(a)]. 5833 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4667(a,1),5831(a,1,2))]. 5838 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5242(a,1),5256(a,1,1))]. 5839 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(220,a,4248,a(flip),b,5267,a(flip))]. 5840 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1862,a,5447,a)]. 5841 (x * y) \ T(x,y) = (y * x) \ x. [hyper(220,a,4284,a(flip),b,5840,a(flip)),flip(a)]. 5842 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(220,a,333,a(flip),b,5841,a(flip))]. 5853 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(20,a,4715,a(flip),b,5486,a)]. 5854 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(20,a,4709,a(flip),b,5486,a)]. 5857 L(K(x,x \ 1),y,z) = K(x,L(x \ 1,u,w)). [hyper(220,a,4474,a,b,5853,a),flip(a)]. 5859 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(220,a,4467,a,b,5854,a),flip(a)]. 5860 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5854(a,2),2525(a,1,1))]. 5867 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5114(a,1),5576(a,1))]. 5868 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(890(a,2),5867(a,1))]. 5876 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5751(a,1),594(a,1,2))]. 5877 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(5776,a,5860,a)]. 5878 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(220,a,5859,a(flip),b,5877,a)]. 5880 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5878(a,2),5153(a,1,1))]. 5881 R(x,K(y,z),R(z,u,w)) = x. [hyper(418,a,4770,a)]. 5883 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [hyper(2537,a,4862,a)]. 5884 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5102,a,5883,a)]. 5885 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(220,a,2405,a(flip),b,4961,a)]. 5886 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3605,a,5885,a)]. 5887 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5589,a,5107,a)]. 5888 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4639(a,1),5887(a,1,1,2))]. 5889 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(220,a,4938,a(flip),b,5888,a(flip)),flip(a)]. 5890 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(5889(a,2),4616(a,1,1,1,2))]. 5899 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4790(a,1),5306(a,1,1))]. 5901 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3806(a,1),5899(a,1,1)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(220,a,5769,a(flip),b,5901,a(flip)),flip(a)]. 5907 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(298(a,1),5901(a,1,2,1)),flip(a)]. 5914 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(17(a,1),5307(a,1,2,2,1))]. 5925 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),5533(a,2,2))]. 5926 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4665,a,5536,a),flip(a)]. 5927 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(220,a,55,a(flip),b,5643,a)]. 5930 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5644(a,2),210(a,1))]. 5932 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(220,a,5884,a(flip),b,5658,a)]. 5933 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(118(a,1),5733(a,1,1,2))]. 5934 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(742(a,1),5733(a,1,1,2))]. 5935 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1219(a,1),5733(a,1,1,2))]. 5941 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5901(a,1),5770(a,1,1)),flip(a)]. 5943 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5941(a,2),83(a,1)),flip(b)]. 5946 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5769(a,2),5943(a,1))]. 5949 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(220,a,5794,a(flip),b,5795,a(flip))]. 5951 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(72,a,5886,a(flip),b,2487,a)]. 5955 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(220,a,1865,a,b,4965,a(flip)),flip(a)]. 5957 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5133(a,1),5253(a,1,2))]. 5959 T(x,y) * (K(x * y,x) * z) = R(x,y,T(x,y)) * z. [para(5078(a,1),5431(a,1,2,1))]. 5960 T(x,y) * K(x * y,x) = R(x,y,T(x,y)). [hyper(4424,a,5959,a(flip))]. 5961 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(220,a,4576,a(flip),b,5960,a)]. 5963 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5961,a(flip),b,4818,a),flip(a)]. 5964 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5961(a,1),5072(a,1,2))]. 5965 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2126,a,5963,a)]. 5966 x \ R(x,x \ y,x) = K(x,x \ y) * K(y,x). [para(17(a,1),5963(a,1,2,1)),flip(a)]. 5967 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5963(a,1),2126(a,1))]. 5969 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(17(a,1),5965(a,1,1,1)),flip(a)]. 5972 x \ R(x,x \ y,x) != z | K(y,x) * K(x,x \ y) = z. [para(5966(a,2),2126(a,1))]. 5975 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4938(a,1),5563(a,1,1)),flip(a)]. 5976 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(220,a,43,a,b,5975,a)]. 5977 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5976(a,1),47(a,1,1)),flip(a)]. 5980 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(66(a,1),5833(a,1,2,2)),flip(a)]. 5983 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5154,a,5880,a)]. 5984 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [para(378(a,1),5983(a,2,1))]. 5985 L(x,y,z) \ K(L(x,u,w),x \ 1) != v5 | 1 / L(x,y,z) = v5. [para(5983(a,1),1774(a,1,2))]. 5987 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,5984,a(flip),b,1760,a(flip))]. 5989 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,5987,a(flip),b,1776,a(flip)),flip(a)]. 5990 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(5987(a,1),4872(a,1,2)),flip(a)]. 5991 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(4685(a,2),5990(a,1,2))]. 5994 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3753,a,5991,a)]. 5995 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5994(a,1),19(a,1,1))]. 5996 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(160,a,5995,a,b,1300,a)]. 5999 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1659,a,4930,a),flip(a)]. 6000 (x * (y * K(z,y))) / (x * K(z,y)) != y * u | K(x * K(z,y),y) = u. [para(4948(a,2),22(a,1))]. 6005 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(118(a,1),5534(a,2,2))]. 6009 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(66(a,1),5734(a,1,1,1,2,1))]. 6011 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(484(a,1),5757(a,1,1,1)),flip(a)]. 6012 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(55(a,1),5772(a,2,2,2,1,2))]. 6014 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4794(a,1),6012(a,2,2))]. 6015 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(18(a,1),6014(a,1,1,1))]. 6018 ((x * y) * K(y \ 1,z)) / y != u | x * K(y \ 1,z) = u. [para(6015(a,1),272(a,1,1)),flip(b)]. 6019 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(6018,a,4929,a),flip(a)]. 6022 (x * K(y \ 1,x * y)) \ x = K(x / (y \ 1),y \ 1). [para(6019(a,1),102(a,1,1))]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(66(a,1),5827(a,2,1,1))]. 6041 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),6040(a,1,2,2)),flip(a)]. 6043 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(72,a,6041,a,b,xx)]. 6044 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6041,a,b,118,a)]. 6047 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3041(a,1),5829(a,2,1))]. 6049 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(16(a,1),6047(a,1,2,2)),flip(a)]. 6051 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(118(a,1),6049(a,2,2))]. 6059 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5040(a,2),5830(a,1,2))]. 6065 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5150(a,1),5999(a,1,2)),flip(a)]. 6066 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(220,a,4925,a(flip),b,6065,a)]. 6067 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),6066(a,1,1,1)),flip(a)]. 6069 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,6059,a)]. 6071 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6059(a,1),22(a,1))]. 6074 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6069(a,1),4556(a,1,1))]. 6075 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(16(a,1),6074(a,1,1,2,1)),flip(a)]. 6077 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6075(a,2),23(a,1))]. 6087 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5238(a,1),5206(a,1,2,2)),flip(a)]. 6088 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(118(a,1),5745(a,1,1,2))]. 6089 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(793(a,1),5745(a,1,1,2))]. 6091 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4596(a,1),6067(a,1,1)),flip(a)]. 6092 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(220,a,3962,a(flip),b,6091,a)]. 6094 (x * (y * K(z,y))) * y = (x * y) * (y * K(z,y)). [para(4824(a,1),4899(a,1,2))]. 6095 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(21,a,4756,a,b,6094,a),flip(a)]. 6097 L(K(x,y),y,z) = K(x,y). [hyper(388,a,6095,a)]. 6098 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(271,a,6095,a),flip(a)]. 6107 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(220,a,5907,a(flip),b,6097,a(flip)),flip(a)]. 6110 L(K(x,y),x,z) = K(y,x) \ 1. [para(6097(a,1),5906(a,1,1)),flip(a)]. 6111 L(K(x,y),x,z) = K(x,y). [hyper(220,a,5142,a(flip),b,6110,a)]. 6112 L(K(x,y),x,z) != u | K(x,y) = u. [para(6110(a,2),5155(a,1))]. 6115 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(220,a,5765,a,b,6111,a(flip)),flip(a)]. 6116 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(220,a,4805,a,b,6111,a(flip)),flip(a)]. 6121 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [hyper(220,a,5717,a,b,6107,a),flip(a)]. 6126 K(x,y \ (y / z)) = K(x,z \ 1). [para(66(a,1),6107(a,1,2,1)),flip(a)]. 6133 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6107(a,1),5312(a,1,2))]. 6134 K(x,y / z) * y = y * K(x,z \ y). [para(6107(a,1),5803(a,1,2)),flip(a)]. 6136 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6107(a,1),5899(a,1,1)),flip(a)]. 6137 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4777(a,1),6112(a,1,1))]. 6139 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(220,a,333,a(flip),b,6116,a(flip)),flip(a)]. 6140 (x * y) * K(y,z) = x * T(y,z). [para(6116(a,1),17(a,1,2))]. 6141 ((x / T(y,z)) * y) \ x = K(y,z). [para(19(a,1),6116(a,1,2))]. 6142 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6116(a,1),208(a,1,2)),flip(b)]. 6152 (x * K(y,z)) / T(y,z) = x / y. [hyper(506,a,6140,a)]. 6153 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(496,a,6140,a)]. 6154 x * T(x \ y,z) = y * K(x \ y,z). [hyper(479,a,6140,a),flip(a)]. 6155 (x / y) * T(y,z) = x * K(y,z). [hyper(271,a,6140,a),flip(a)]. 6157 (x \ y) * T(T(x,x \ y),z) = y * K(T(x,x \ y),z). [para(157(a,1),6140(a,1,1)),flip(a)]. 6160 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6140(a,1),452(a,1,2))]. 6161 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6140(a,1),421(a,1,1))]. 6164 (x * K(y,z)) * K(u,K(z,y)) = x * T(K(y,z),u). [para(5626(a,1),6140(a,1,2))]. 6165 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6140(a,1),5680(a,1,1))]. 6169 (x * K(y,z)) \ x = K(z,y). [para(5681(a,1),6141(a,1,1))]. 6171 K(x / (y \ 1),y \ 1) = K(x * y,y \ 1). [hyper(220,a,6022,a(flip),b,6169,a(flip)),flip(a)]. 6172 (x * K(y,z)) * K(z,y) = x. [para(6169(a,1),17(a,1,2))]. 6173 x / K(y,z) = x * K(z,y). [para(6169(a,1),63(a,1,2))]. 6174 x * K(y,z) != u | u * K(z,y) = x. [para(6169(a,1),86(a,1,2)),flip(b)]. 6175 (x * K(y,z)) * K(z,y) != u | u = x. [para(6169(a,1),208(a,1,2))]. 6176 x / K(y,z) != u | x * K(z,y) = u. [para(6169(a,1),274(a,1,2)),flip(b)]. 6179 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6169(a,2),5242(a,1,1))]. 6182 K(x,L(y \ 1,z,u) \ 1) = (w * L(K(y,x),z,u)) \ w. [para(5765(a,1),6169(a,1,1,2)),flip(a)]. 6187 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(160,a,6172,a,b,5238,a)]. 6190 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(21,a,5808,a,b,6172,a)]. 6192 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(21,a,5634,a,b,6172,a)]. 6194 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(21,a,2122,a,b,6172,a)]. 6197 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6172(a,1),209(a,1,2)),flip(b)]. 6205 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6172(a,1),4756(a,1,1)),flip(a)]. 6206 (x * K(y,z)) * y = x * T(y,z). [para(6172(a,1),5680(a,1,1)),flip(a)]. 6207 R(x * K(y,z),K(z,y),y * z) = (x * (y * z)) / (z * y). [para(6172(a,1),4980(a,1,1,1)),flip(a)]. 6208 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6173(a,1),219(a,1,1))]. 6212 T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)). [para(6152(a,1),120(a,1,1)),flip(a)]. 6213 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6152(a,1),207(a,1,1)),flip(b)]. 6215 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6153(a,1),818(a,1,1,2)),flip(a)]. 6218 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6153(a,1),5636(a,1,1))]. 6219 T(x,y \ (y / z)) = (u / x) \ (u * K(x,z \ 1)). [para(6126(a,1),6153(a,1,2,2)),flip(a)]. 6224 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(6155(a,1),161(a,2))]. 6231 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,6155,a(flip),b,6206,a)]. 6232 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1153,a,b,6206,a)]. 6233 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,118,a,b,6206,a(flip)),flip(a)]. 6234 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [hyper(71,a,6206,a(flip),b,5680,a)]. 6236 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6206(a,1),27(a,2,1,2)),flip(a)]. 6237 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6206(a,1),150(a,2,1))]. 6241 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6095(a,1),6206(a,1,1))]. 6259 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4861,a,6115,a)]. 6260 K(((x * y) \ x) \ 1,z) = K(y,z). [para(150(a,1),6115(a,1,1,1))]. 6261 K((x \ y) \ 1,z) = K(y \ x,z). [para(298(a,1),6115(a,1,1,1))]. 6267 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6260(a,1),4873(a,1,2))]. 6270 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(220,a,5529,a,b,6261,a(flip)),flip(a)]. 6275 K(x \ (x / y),z) = K(y \ 1,z). [para(66(a,1),6261(a,1,1,1)),flip(a)]. 6281 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6261(a,1),5531(a,2,2))]. 6283 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6261(a,1),5926(a,1,2))]. 6284 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6261(a,1),6005(a,1,2))]. 6299 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(4921(a,1),6275(a,1,1))]. 6311 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(220,a,3056,a,b,6299,a(flip)),flip(a)]. 6312 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(220,a,3038,a,b,6311,a)]. 6313 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(63(a,1),6312(a,1,1,1))]. 6316 x * (T(y,x) * K(z,y)) = (y * x) * K(z,y). [hyper(220,a,5412,a(flip),b,6098,a(flip)),flip(a)]. 6321 T(K(x,y / z),y) = K(x,z \ y). [hyper(160,a,6134,a,b,xx)]. 6324 x * K(y,(z * x) \ x) = K(y,z \ 1) * x. [para(5514(a,1),6134(a,1,1)),flip(a)]. 6325 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(6321(a,1),4072(a,1,2)),flip(a)]. 6327 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(400(a,1),6137(a,1))]. 6328 K(x * (1 / y),x) = K(y \ x,x). [hyper(220,a,5358,a(flip),b,6139,a(flip)),flip(a)]. 6329 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K((x * y) \ (x * (y * z)),u). [para(31(a,2),6139(a,1,2,2,1))]. 6330 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6139(a,1),400(a,1,1))]. 6332 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [para(742(a,1),6139(a,1,2))]. 6333 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * (1 / (1 / K(z \ (x * y),u))). [para(6139(a,1),2428(a,1,2,2,2)),flip(a)]. 6335 K((x \ 1) \ y,y) = K(y * x,y). [para(63(a,1),6328(a,1,1,2)),flip(a)]. 6336 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5560,a,6154,a),flip(a)]. 6341 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6154(a,1),5745(a,1,1,2))]. 6342 K((x \ y) \ y,y) = K(x,y). [hyper(220,a,2856,a(flip),b,6336,a)]. 6343 T(K(x / y,z),x) = K(y \ x,z). [para(66(a,1),6336(a,1,1,1)),flip(a)]. 6344 K(x / y,x) = K(y \ x,x). [para(66(a,1),6342(a,1,1,1)),flip(a)]. 6348 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,103,a(flip),b,6165,a)]. 6349 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1343(a,1),6165(a,1,1))]. 6350 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6165(a,1),4104(a,1,2))]. 6359 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6187(a,1),5806(a,1,1))]. 6362 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(72,a,4756,a(flip),b,6205,a)]. 6364 ((x / y) * K(y,z)) \ x = y * K(z,y). [hyper(71,a,19,a(flip),b,6205,a)]. 6371 T(K(x,y),x * z) = K(T(x,z),y). [hyper(160,a,4875,a,b,6232,a)]. 6373 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6232(a,1),6169(a,1,1))]. 6397 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6364(a,1),269(a,1,1,2))]. 6398 T(K(x,y),T(y,x) * z) = K(x,T(y,z)). [hyper(220,a,5124,a,b,6373,a(flip)),flip(a)]. 6400 K(x,T(y,T(y,x) \ z)) = T(K(x,y),z). [para(17(a,1),6398(a,1,2)),flip(a)]. 6412 K(L(x,x \ 1,y),z) = K(x,z). [para(63(a,1),6313(a,2,1))]. 6418 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6121(a,1),5740(a,1))]. 6420 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6418(a,1,2,1))]. 6423 (x * y) * L((x \ z) / y,y,x) = z * K(y,(x * y) \ z). [para(713(a,2),6133(a,2,2)),flip(a)]. 6426 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5276,a,6171,a)]. 6429 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(220,a,5086,a(flip),b,6212,a(flip)),flip(a)]. 6430 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(6429(a,1),17(a,1,2))]. 6431 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(18(a,1),6430(a,1,2,1)),flip(a)]. 6432 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(72,a,6241,a(flip),b,114,a)]. 6436 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5726,a(flip),b,6281,a(flip))]. 6437 K((x \ 1) \ y,y) = K(x * y,y). [hyper(20,a,4926,a(flip),b,6281,a(flip))]. 6440 K((1 / x) \ y,x) = K(x * y,x). [hyper(220,a,3829,a,b,6436,a(flip)),flip(a)]. 6442 K(x * y,y) = K(y * x,y). [hyper(220,a,6335,a(flip),b,6437,a(flip))]. 6448 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6442(a,2),5963(a,1,2))]. 6451 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6206(a,1),6448(a,1,2,1))]. 6452 x * (K(y,z) * T(z,x)) = (z * x) * K(y,z). [para(2863(a,1),6316(a,1,2))]. 6462 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(220,a,4228,a(flip),b,6426,a(flip))]. 6463 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(6426(a,1),234(a,1,2)),flip(a)]. 6464 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6462(a,1),5477(a,1,2,2))]. 6471 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(793(a,1),6327(a,1,2))]. 6473 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(742(a,1),6327(a,1,2))]. 6479 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(4646,a,6349,a)]. 6480 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(220,a,4666,a(flip),b,6479,a(flip)),flip(a)]. 6486 (x * K(y,z)) * T(K(z,y),u) = x * K(u,K(y,z)). [para(6172(a,1),6164(a,1,1)),flip(a)]. 6490 T(x,y \ (y / z)) = T(x,z \ 1). [hyper(220,a,6153,a(flip),b,6219,a)]. 6492 T(x,(y \ z) \ 1) = T(x,z \ y). [para(63(a,1),6490(a,1,2,2)),flip(a)]. 6498 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6492(a,1),5662(a,1))]. 6500 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4752(a,1),6270(a,1,2))]. 6505 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(20,a,6283,a,b,6284,a)]. 6514 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = z * K(z * (x \ y),y \ x). [para(6107(a,1),6463(a,2,2))]. 6515 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(220,a,5477,a(flip),b,6464,a(flip))]. 6516 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6515(a,2),5167(a,1,1))]. 6518 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5677,a,6516,a),flip(a)]. 6519 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5678,a,6518,a),flip(a)]. 6521 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(220,a,5881,a(flip),b,6208,a(flip))]. 6522 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(220,a,5679,a(flip),b,6208,a(flip))]. 6524 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5066(a,1),6522(a,1,2)),flip(a)]. 6525 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6350(a,1),597(a,1))]. 6530 x * K(T(y,y \ x),z) = K(y,z) * x. [hyper(5458,a,6157,a),flip(a)]. 6531 K(x,T(y,y \ z)) = (K(y,x) * z) \ z. [para(6530(a,1),6169(a,1,1)),flip(a)]. 6532 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(5946,a,6182,a),flip(a)]. 6533 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6532(a,1),17(a,1,2))]. 6537 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),6532(a,1,1))]. 6538 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(384(a,1),6532(a,1,1))]. 6539 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(21,a,103,a,b,6533,a)]. 6541 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6539(a,1),209(a,1,2)),flip(b)]. 6542 (x * (y \ K(y,z))) * L(K(z,y),y \ 1,x) = x * (y \ 1). [para(3334(a,1),6539(a,1,1,2))]. 6544 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(627,a,6259,a),flip(a)]. 6547 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1838(a,1),6544(a,2,2))]. 6552 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(220,a,43,a,b,6348,a)]. 6558 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4824(a,1),6552(a,2,1))]. 6560 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6237(a,2),4952(a,1))]. 6561 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6471,a,6500,a),flip(a)]. 6568 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(6420,a,6136,a),flip(a)]. 6569 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(17(a,1),6568(a,2,2,1))]. 6570 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(17(a,1),6568(a,2,2,2))]. 6571 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(66(a,1),6568(a,1,1,2)),flip(a)]. 6572 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(105(a,2),6568(a,2,2))]. 6573 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6112,a,6572,a),flip(a)]. 6576 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(400(a,1),6573(a,1,2)),flip(a)]. 6584 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6569(a,1),43(a,2,1))]. 6585 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6569(a,1),103(a,1,2))]. 6587 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6571(a,1,2))]. 6588 K(x,L(y,z / y,u)) = (u * (z * K(y,x))) \ (u * z). [hyper(220,a,6537,a,b,6587,a)]. 6589 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),6587(a,1,2,2)),flip(a)]. 6590 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6587(a,2),103(a,1,2))]. 6596 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6588(a,2),6541(a,1))]. 6597 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6596(a,1,2))]. 6600 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(63(a,1),6597(a,1,2,1,2))]. 6606 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6585(a,1),22(a,1)),flip(a)]. 6612 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6206(a,1),6432(a,1,2))]. 6613 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(429,a,6612,a),flip(a)]. 6619 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5229(a,1),4983(a,1,2))]. 6620 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5310(a,1),5316(a,1,1))]. 6623 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3806(a,1),6620(a,1,1,2)),flip(a)]. 6625 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3806(a,1),6623(a,1,2)),flip(a)]. 6626 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(485,a,6625,a)]. 6627 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = ((z \ 1) * K(y,z)) / (z \ 1). [para(6626(a,1),713(a,2,1,2))]. 6628 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6043(a,1),5496(a,2,1,1))]. 6646 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(17(a,1),5788(a,1,1,2,2,1))]. 6647 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(220,a,5510,a(flip),b,6646,a)]. 6648 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6646(a,2),5511(a,1))]. 6649 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6647(a,1),439(a,1,1))]. 6652 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4752(a,1),5935(a,1,1,2))]. 6656 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5955(a,1),17(a,1,2))]. 6657 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(220,a,47,a(flip),b,5977,a)]. 6662 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6155(a,1),6009(a,1,1,1)),flip(a)]. 6663 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6662(a,2),17(a,1,2))]. 6667 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6231(a,1),6663(a,1,2,2))]. 6670 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6667(a,2),485(a,1))]. 6671 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6172(a,1),6667(a,1,1,1))]. 6673 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(6174,a,6671,a(flip))]. 6675 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6671(a,2),6206(a,1,1))]. 6678 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(4764,a,6675,a)]. 6683 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(220,a,4769,a(flip),b,6678,a)]. 6684 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2863(a,2),6683(a,2,2))]. 6698 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4015(a,1),6011(a,1,1)),flip(a)]. 6699 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5654,a,6698,a)]. 6701 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(66(a,1),6699(a,1,1,2,1)),flip(a)]. 6702 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(112(a,2),6699(a,1,1))]. 6704 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(16(a,1),6702(a,1,1,2)),flip(a)]. 6705 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6702(a,2),114(a,1,1))]. 6713 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(654,a,6044,a)]. 6714 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6713(a,1),5767(a,1,1,1)),flip(a)]. 6715 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(220,a,5549,a(flip),b,6714,a)]. 6722 x * K(x * (y \ 1),1 \ y) = (y \ x) * y. [hyper(220,a,3004,a(flip),b,6514,a(flip))]. 6723 x * K(x * (y \ 1),y) = (y \ x) * y. [para(54(a,1),6722(a,1,2,2))]. 6724 K(x * (y \ 1),y) = K(y \ x,y). [hyper(20,a,234,a,b,6723,a)]. 6726 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(220,a,5151,a(flip),b,6724,a(flip)),flip(a)]. 6733 K(R(x,y,y \ 1),y) = K(x,y). [hyper(220,a,580,a(flip),b,6726,a)]. 6735 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6733(a,1),5193(a,1,1))]. 6736 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4875(a,1),6619(a,1,2,2)),flip(a)]. 6737 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6736(a,2),681(a,1))]. 6740 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [para(4944(a,1),656(a,2,1)),flip(a)]. 6741 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4944(a,1),805(a,1,1,1))]. 6742 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(5370,a,6740,a)]. 6744 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4955,a,4945,a)]. 6745 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4945(a,1),656(a,2,1)),flip(a)]. 6746 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5370,a,6745,a)]. 6747 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6744(a,1),1656(a,1,1,2)),flip(a)]. 6748 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(755(a,1),5045(a,1,2))]. 6754 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3746(a,1),5980(a,2,2))]. 6755 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(220,a,3751,a(flip),b,6754,a(flip))]. 6756 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3083(a,1),6755(a,1,2,2)),flip(a)]. 6757 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3083(a,1),6756(a,1,1,1)),flip(a)]. 6758 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6757(a,1),66(a,1,1))]. 6759 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(120(a,1),6758(a,1,1,1,1))]. 6760 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(120(a,1),6759(a,2,2))]. 6763 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6241(a,1),6236(a,1,2))]. 6764 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6763(a,1),597(a,1))]. 6765 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(220,a,6332,a(flip),b,6330,a)]. 6766 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6330(a,2),6473(a,1))]. 6768 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6561(a,1),6765(a,1,1))]. 6770 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6766,a,6768,a),flip(a)]. 6771 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(17(a,1),6770(a,2,1,1))]. 6772 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(63(a,1),6771(a,1,1,1,2))]. 6773 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6772(a,1),5684(a,1,1,2)),flip(a)]. 6774 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(220,a,5684,a(flip),b,6773,a)]. 6776 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5842(a,1),6774(a,1,2))]. 6778 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,(x / y) \ x). [para(6490(a,1),6776(a,1,2,2))]. 6781 T(x / (y \ 1),(x / (y \ 1)) \ T(x,y)) = T(x / (y \ 1),(x / (y \ 1)) \ x). [para(3083(a,1),6778(a,1,2,2))]. 6782 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6538(a,1),6341(a,1))]. 6798 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4915,a(flip),b,4856,a),flip(a)]. 6805 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(118(a,1),5934(a,1,1,2,2))]. 6806 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4742(a,2),6805(a,1,1))]. 6818 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6140(a,1),6161(a,1,2)),flip(a)]. 6819 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6818(a,2),429(a,1))]. 6824 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4905(a,1),6558(a,1,1,2))]. 6825 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4876(a,1),6824(a,1,2,2))]. 6830 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(220,a,4628,a(flip),b,4662,a(flip))]. 6831 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3678(a,2),4664(a,1,1))]. 6837 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5314(a,1),5317(a,2,1))]. 6838 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,114,a,b,6837,a),flip(a)]. 6840 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(21,a,3589,a(flip),b,6837,a)]. 6843 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6840(a,2),5293(a,2,1,2))]. 6845 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3806(a,1),6838(a,1,1)),flip(a)]. 6846 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5510(a,1),6838(a,1,1)),flip(a)]. 6860 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(220,a,5517,a(flip),b,6846,a(flip))]. 6862 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),6860(a,2,2,1))]. 6864 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(63(a,1),6860(a,1,1,2)),flip(a)]. 6867 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(112(a,2),6864(a,1,2))]. 6872 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(220,a,4989,a(flip),b,6867,a(flip)),flip(a)]. 6873 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),6867(a,1,2,2)),flip(a)]. 6874 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(35(a,2),6867(a,1,2,2)),flip(a)]. 6882 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6873(a,1),5390(a,1,1))]. 6890 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4986(a,1),6872(a,2,1))]. 6895 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(220,a,5884,a(flip),b,6843,a)]. 6900 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(20,a,5932,a(flip),b,6895,a(flip)),flip(a)]. 6902 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3724,a,6900,a),flip(a)]. 6903 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6902(a,1),1334(a,1,2))]. 6904 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(220,a,241,a(flip),b,6903,a(flip)),flip(a)]. 6906 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(220,a,3510,a(flip),b,6904,a(flip)),flip(a)]. 6907 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1658,a,6906,a)]. 6908 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(160,a,6906,a,b,1330,a)]. 6910 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(25,a,6907,a)]. 6931 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5622(a,1),5624(a,1,3)),flip(a)]. 6932 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6931(a,1),23(a,1))]. 6934 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4079(a,1),5890(a,2,1,2))]. 6935 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(6934(a,2),4565(a,1))]. 6937 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(6089,a,6652,a),flip(a)]. 6938 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(17(a,1),6937(a,2,2,1))]. 6943 (x * (y * z)) \ (x * (y * T(z,u))) = K((x * y) \ (x * (y * z)),u). [para(392(a,1),6329(a,1,2))]. 6944 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(31(a,2),6943(a,2,1))]. 6945 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(6944(a,1),17(a,1,2))]. 6946 (x * (y * z)) \ (x * (z * y)) = K(L(z,y,x),y). [para(118(a,1),6944(a,1,2,2))]. 6947 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6946(a,1),63(a,1,2))]. 6949 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6176,a,6947,a)]. 6950 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(71,a,6947,a(flip),b,6173,a(flip))]. 6951 (x * (y * z)) \ (x * (z * y)) != u | K(L(z,y,x),y) = u. [para(6947(a,1),207(a,1,1)),flip(b)]. 6954 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(6945(a,1),6169(a,1,1))]. 6958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6950(a,1),6951(a,1))]. 6964 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),6741(a,2,1,1))]. 6965 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4721(a,2),6830(a,1,2))]. 6966 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(216,a,6831,a),flip(a)]. 6976 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(212,a,6965,a),flip(a)]. 6977 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,4579,a(flip))]. 6978 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2522(a,1),6977(a,1,1)),flip(a)]. 6979 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(72,a,6978,a(flip),b,997,a)]. 6981 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2525(a,1),6979(a,1,1))]. 6982 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(220,a,6735,a(flip),b,6981,a(flip)),flip(a)]. 6983 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1300(a,1),6982(a,1,2,1))]. 6984 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6983(a,1),66(a,1,1)),flip(a)]. 6985 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(277,a,6984,a)]. 6986 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(78,a,6984,a)]. 6987 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6984(a,1),3168(a,1,2)),flip(a)]. 6988 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(220,a,4375,a(flip),b,6985,a(flip)),flip(a)]. 6989 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(220,a,4740,a(flip),b,6988,a)]. 6990 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(6989(a,2),6986(a,1,1))]. 6991 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(155(a,1),4617(a,1,1)),flip(a)]. 6993 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4785(a,2),6991(a,1,1,2,2)),flip(a)]. 6994 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4785(a,2),6993(a,1,2)),flip(a)]. 6995 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [hyper(220,a,6140,a(flip),b,6994,a)]. 6996 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(21,a,6206,a,b,6995,a)]. 6997 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,6092,a,b,6995,a),flip(a)]. 6998 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6996(a,1),17(a,1,2))]. 7000 (x * y) * K(x,z) = x * (y * K(x,z)). [para(16(a,1),6998(a,1,2,1)),flip(a)]. 7001 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6606,a,7000,a),flip(a)]. 7002 R(x,y,K(x,z)) = x. [hyper(4688,a,7000,a)]. 7003 L(K(x,y),z,x) = K(x,y). [hyper(388,a,7000,a)]. 7004 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(220,a,5071,a,b,7000,a),flip(a)]. 7006 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7000(a,1),6206(a,1,1))]. 7007 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7002(a,1),49(a,1,1)),flip(a)]. 7009 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7002(a,1),424(a,1,1,1)),flip(a)]. 7013 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7002(a,1),6705(a,1,1,1)),flip(a)]. 7014 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6782,a,7003,a)]. 7015 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(220,a,16,a,b,7003,a)]. 7026 R(x,y,T(x,z)) = R(x,y,x). [hyper(6819,a,7007,a)]. 7027 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7007(a,1),326(a,1,1)),flip(a)]. 7031 R(x,y,T(x,z)) * u = u * R(T(x,u),y,x). [para(7026(a,2),173(a,2,1)),flip(a)]. 7035 L(K(x,y),z,x) != u | K(x,y) = u. [para(7015(a,2),209(a,1)),flip(b)]. 7039 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6589(a,1),7035(a,1))]. 7040 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6570(a,1),7035(a,1))]. 7042 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6087(a,1),7039(a,1,2))]. 7043 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(17(a,1),7001(a,2,2,2))]. 7044 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(220,a,5732,a,b,7014,a(flip)),flip(a)]. 7045 (x / y) \ (x * K(y,z \ (y \ u))) = T(y,(y * z) \ u). [para(7014(a,1),6153(a,1,2,2))]. 7046 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(220,a,5407,a,b,6997,a)]. 7047 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4581(a,1),7046(a,1,2))]. 7048 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(6224,a,7004,a)]. 7052 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(17(a,1),7048(a,1,1,1))]. 7053 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(155(a,1),7048(a,1,1)),flip(a)]. 7064 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(220,a,6429,a,b,7052,a(flip)),flip(a)]. 7065 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(331(a,1),7064(a,2,1))]. 7068 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7006(a,1),6236(a,1,2))]. 7071 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(538,a,7031,a)]. 7072 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(220,a,4127,a(flip),b,7071,a)]. 7075 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(220,a,119,a(flip),b,7072,a)]. 7076 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7047(a,1),66(a,1,1))]. 7077 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5407(a,1),7076(a,1,1))]. 7078 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4778(a,2),7077(a,1,1,2))]. 7081 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(388,a,7013,a)]. 7084 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(220,a,6589,a(flip),b,7081,a(flip)),flip(a)]. 7085 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7081(a,1),43(a,2,1))]. 7087 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5255(a,1),7084(a,1,2)),flip(a)]. 7088 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(220,a,6715,a(flip),b,7085,a(flip)),flip(a)]. 7090 T(K(x,y),z * x) = T(K(x,y),x * z). [para(4853(a,1),7088(a,1,2)),flip(a)]. 7092 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5238(a,1),7088(a,1,2)),flip(a)]. 7095 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(78,a,7027,a)]. 7097 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(18(a,1),7044(a,1,1,1,1,2))]. 7098 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4631(a,1),7044(a,1,1))]. 7100 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(6088,a,7098,a)]. 7101 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(220,a,6806,a(flip),b,7098,a(flip)),flip(a)]. 7102 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6600,a,7100,a)]. 7103 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(220,a,5914,a,b,7100,a(flip)),flip(a)]. 7104 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(31(a,2),7100(a,1,2)),flip(a)]. 7105 (x * y) * L((x \ z) / y,y,x) = z * K(y,x \ (y \ z)). [para(7100(a,1),6423(a,2,2))]. 7106 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7103(a,1),6976(a,2,2))]. 7107 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(220,a,7043,a(flip),b,7102,a)]. 7108 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(19(a,1),7101(a,1,2,1,2)),flip(a)]. 7110 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(7101(a,1),6169(a,1,1,2))]. 7111 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(388,a,7009,a)]. 7112 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7009(a,1),6197(a,1,1))]. 7114 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [hyper(6213,a,7045,a),flip(a)]. 7116 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(118(a,1),7114(a,1,2,1)),flip(a)]. 7118 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(16(a,1),7097(a,1,1,1,1)),flip(a)]. 7119 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(220,a,457,a(flip),b,7065,a(flip))]. 7120 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(7119(a,2),6051(a,1,2))]. 7122 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(212,a,7105,a),flip(a)]. 7123 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(16(a,1),7122(a,2,2,2,1))]. 7124 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(7122(a,1),6169(a,1,1))]. 7125 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(321(a,2),7124(a,1,1,2,2,1))]. 7129 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(20,a,7122,a,b,7106,a(flip)),flip(a)]. 7131 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(7129(a,1),6169(a,1,1,2)),flip(a)]. 7132 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(220,a,6169,a(flip),b,7131,a)]. 7133 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(17(a,1),7132(a,1,1,1)),flip(a)]. 7134 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),7132(a,1,1,1))]. 7135 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6197,a,7110,a),flip(a)]. 7136 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(7110(a,1),6197(a,1))]. 7137 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(7135(a,1),5487(a,1,1,1,2))]. 7138 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(213,a,7120,a)]. 7139 L(K(x,y),z,x \ 1) = K(x,y). [hyper(388,a,7138,a)]. 7140 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(220,a,3597,a(flip),b,7139,a(flip)),flip(a)]. 7141 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5776,a,7140,a)]. 7143 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(7140(a,1),384(a,1,2)),flip(a)]. 7145 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(6480(a,1),7141(a,1,1,1)),flip(a)]. 7146 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(7145(a,1),5755(a,1,1)),flip(a)]. 7149 L(x,y,K(x \ 1,z)) = x. [hyper(388,a,7146,a)]. 7152 L(x \ 1,y,K(x,z)) = x \ 1. [para(3041(a,1),7149(a,1,3))]. 7155 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7152(a,1),737(a,1,1)),flip(a)]. 7164 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7042,a,6938,a),flip(a)]. 7165 K(x,K(y \ x,y) * z) = K(x,z). [para(16(a,1),7164(a,1,2)),flip(a)]. 7166 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7165(a,1,2,1,1))]. 7167 K(x,K(y,y \ x) * z) = K(x,z). [para(5238(a,1),7165(a,1,2)),flip(a)]. 7169 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7167(a,1),4853(a,1,1))]. 7170 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7166(a,1),4824(a,1,1,2))]. 7171 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7170(a,1),6233(a,1,2)),flip(a)]. 7172 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5452,a,7169,a)]. 7173 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4103,a,7172,a)]. 7174 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7173(a,1),169(a,1,2,2)),flip(a)]. 7176 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7068(a,1),597(a,1))]. 7177 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7112,a,6537,a),flip(a)]. 7178 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6537(a,1),7112(a,1))]. 7180 L(K(x,y),z,y) = K(x,y). [para(378(a,1),7177(a,1,3))]. 7181 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7177(a,1),103(a,1,2))]. 7182 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6766,a,7180,a)]. 7183 K(x,L(y,z,y)) = K(x,y). [hyper(220,a,6589,a(flip),b,7180,a(flip)),flip(a)]. 7184 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7180(a,1),103(a,1,2))]. 7186 (x * y) * T(K(z,x),u) = x * (y * T(K(z,x),u)). [para(7180(a,1),392(a,1,2,1))]. 7187 (x \ y) * T(K(z,x),y) = x \ (K(z,x) * y). [para(7180(a,1),639(a,1,2,1)),flip(a)]. 7192 K(x,T(y / z,y)) = K(x,z \ y). [para(4630(a,1),7183(a,1,2))]. 7193 T(x,L(y,z,y)) = x * K(x,y). [para(7183(a,1),4801(a,2,2))]. 7194 K(x,R(y,z,y)) = K(x,y). [para(6480(a,1),7183(a,1,2)),flip(a)]. 7195 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(220,a,5161,a,b,7194,a)]. 7196 R(K(x,y),z,y) = K(x,y). [hyper(220,a,6890,a(flip),b,7194,a(flip)),flip(a)]. 7197 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7194(a,1,2))]. 7199 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(7075(a,1),7194(a,1,2))]. 7201 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7196(a,1),114(a,1,1)),flip(a)]. 7202 T(x,L(y,z,y)) = T(x,y). [hyper(220,a,4801,a,b,7193,a)]. 7204 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(5661,a,7202,a),flip(a)]. 7210 T(x,R(y,z,y)) = T(x,y). [para(6480(a,1),7202(a,1,2)),flip(a)]. 7212 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7210(a,1),118(a,1,2))]. 7215 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7195(a,2),5163(a,1))]. 7217 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(220,a,6531,a(flip),b,7197,a(flip)),flip(a)]. 7218 K(x,T(y,y * z)) = K(x,T(y,z)). [para(16(a,1),7197(a,1,2,2)),flip(a)]. 7219 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4031(a,1),7197(a,1,2))]. 7221 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(220,a,564,a,b,7199,a(flip)),flip(a)]. 7224 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(6179(a,1),7199(a,1,2)),flip(a)]. 7231 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7215(a,1,2))]. 7232 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7217(a,1),17(a,1,2))]. 7233 L(K(x,T(y,z)),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(7217(a,1),105(a,1,1))]. 7235 K(x,T(y,K(x,z))) = K(x,y). [hyper(20,a,6194,a,b,7232,a)]. 7236 (K(x,y) * z) * u != z | K(y,T(x,z)) = u. [para(7232(a,1),22(a,1)),flip(a)]. 7237 K(x,T(y,K(z,x))) = K(x,y). [para(5806(a,1),7235(a,1,2)),flip(a)]. 7246 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(220,a,6505,a,b,7182,a(flip)),flip(a)]. 7248 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(220,a,4916,a,b,7182,a(flip)),flip(a)]. 7249 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),7182(a,1,1,1)),flip(a)]. 7251 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7182(a,1),6283(a,1,2))]. 7253 R(x,y,K(z,x)) = x. [hyper(4688,a,7184,a)]. 7254 x * (K(y,z) * T(z,x)) = z * (x * K(y,z)). [hyper(220,a,6452,a,b,7184,a(flip)),flip(a)]. 7262 R(x,y,L(K(z,x),u,w)) = x. [para(5765(a,1),7253(a,1,3))]. 7263 R(x,y,K(z,L(x,u,w))) = x. [para(6589(a,1),7262(a,1,3))]. 7264 R(R(x,y,z),u,K(w,L(x,v5,v6))) = R(x,y,z). [para(7263(a,1),49(a,1,1)),flip(a)]. 7268 L(x,y,K(z,x)) = x. [hyper(388,a,7201,a)]. 7272 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7268(a,1),48(a,1,1)),flip(a)]. 7277 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * T(L(y,u,w),v5)). [para(7272(a,1),392(a,1,2,1))]. 7278 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7204(a,1),118(a,1,2)),flip(a)]. 7281 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7212(a,1,1))]. 7282 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(120(a,1),7212(a,1,2))]. 7284 (x * K(y,T(z,u \ z))) \ x = K(T(z,u \ 1),y). [para(7219(a,1),6169(a,1,1,2))]. 7285 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(7246(a,1),5763(a,1,1))]. 7290 L(K(x,y),z,y) != u | K(x,y) = u. [para(378(a,1),7178(a,1,3))]. 7295 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6765(a,1),7290(a,1))]. 7299 (x \ y) * T(K(z,x),y) = T(x,z) \ y. [hyper(220,a,5115,a(flip),b,7187,a)]. 7304 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7248(a,1),6966(a,2,1))]. 7305 T(x,y * K(z,x)) = T(x,y). [hyper(160,a,7254,a(flip),b,4769,a)]. 7308 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(7305(a,1),4562(a,2,1,2))]. 7309 T(x,y * K(x,z)) = T(x,y). [para(6172(a,1),7305(a,1,2)),flip(a)]. 7311 T(x,K(y,x) * z) = T(x,z). [para(6530(a,1),7305(a,1,2))]. 7315 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5901(a,1),7309(a,1,2,2))]. 7318 (K(x,y) * z) * L(T(y,z),u,w) != v5 | L(y,u,w) * (K(x,y) * z) = v5. [para(7311(a,1),315(a,1,2,1))]. 7319 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7311(a,1),4309(a,1,3))]. 7320 T(x,T(x,y) \ z) = T(x,x \ z). [para(5114(a,1),7311(a,1,2))]. 7321 T(x,K(x,y) * z) = T(x,z). [para(5238(a,1),7311(a,1,2)),flip(a)]. 7325 K(x,K(x,y) * z) = x \ T(x,z). [hyper(71,a,7321,a(flip),b,4801,a(flip)),flip(a)]. 7326 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7321(a,1),5362(a,1,1))]. 7328 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(220,a,119,a(flip),b,7320,a)]. 7329 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(220,a,4297,a,b,7320,a(flip)),flip(a)]. 7330 K(x,T(y,y \ z)) = T(K(x,y),z). [para(7320(a,1),6400(a,1,2))]. 7331 K(x,K(x,y) * z) = K(x,z). [hyper(220,a,4777,a,b,7325,a)]. 7332 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7325(a,2),4869(a,1))]. 7333 K(x,y * x) = K(x,x * y). [para(4853(a,1),7331(a,1,2)),flip(a)]. 7337 K(x,K(y,x) * z) = K(x,z). [para(5238(a,1),7331(a,1,2)),flip(a)]. 7344 x * ((T(y,x) \ z) \ z) = ((y \ z) \ z) * x. [para(7328(a,1),347(a,1,1)),flip(a)]. 7345 K(x,T(y,z)) = T(K(x,y),z). [hyper(7231,a,7330,a)]. 7347 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7330(a,1),7231(a,1))]. 7351 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(220,a,6584,a,b,7345,a),flip(a)]. 7352 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(220,a,6336,a,b,7345,a),flip(a)]. 7353 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(220,a,5628,a,b,7345,a),flip(a)]. 7354 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(220,a,5627,a,b,7345,a),flip(a)]. 7358 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(220,a,7092,a(flip),b,7345,a)]. 7360 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(220,a,6371,a(flip),b,7345,a)]. 7361 K(x / y,T(z,x)) = K(y \ x,z). [hyper(220,a,6343,a(flip),b,7345,a)]. 7362 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(220,a,3076,a(flip),b,7345,a)]. 7367 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(41(a,1),7345(a,1,2))]. 7368 x * K(y,T(z,x)) = K(y,z) * x. [para(7345(a,2),118(a,1,2))]. 7376 x * T(K(x,y),z) = T(x,T(y,z)). [para(7345(a,1),4801(a,2,2)),flip(a)]. 7377 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7345(a,1),4804(a,1,2))]. 7379 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7345(a,2),5625(a,1,2))]. 7387 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(7345(a,2),7299(a,1,2))]. 7396 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7361(a,1),6701(a,1,1)),flip(a)]. 7398 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6174,a,7368,a)]. 7400 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(20,a,5617,a(flip),b,7368,a)]. 7401 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5249,a,7368,a(flip))]. 7402 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7368(a,1),22(a,1))]. 7404 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(41(a,1),7368(a,1,2,2))]. 7406 K(x,y / z) * z = z * K(x,z \ y). [para(120(a,1),7368(a,1,2,2)),flip(a)]. 7411 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(220,a,7053,a,b,7376,a),flip(a)]. 7412 K(T(x,y),z) = K(x,T(z,y)). [hyper(7236,a,7398,a),flip(a)]. 7414 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5273,a,7412,a)]. 7417 K(T(x,y),z) = T(K(x,z),y). [hyper(220,a,7345,a(flip),b,7412,a)]. 7420 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,7412,a)]. 7421 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(220,a,7360,a,b,7412,a(flip)),flip(a)]. 7422 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(220,a,6371,a,b,7412,a(flip)),flip(a)]. 7429 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),7412(a,1,1))]. 7430 K(x / y,T(z,y)) = K(y \ x,z). [para(120(a,1),7412(a,1,1)),flip(a)]. 7431 K(T(x,y),z / y) = K(x,y \ z). [para(120(a,1),7412(a,2,2))]. 7432 K((x * y) / x,T(z,x)) = K(y,z). [para(154(a,1),7412(a,1,1)),flip(a)]. 7434 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(131(a,1),7412(a,1,1)),flip(a)]. 7436 K(T(x,R(y,z,u)),y) = K(x,y). [para(546(a,1),7412(a,2,2))]. 7444 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7412(a,1),5252(a,1,1))]. 7448 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7412(a,1),5353(a,2,1))]. 7451 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7412(a,1),6176(a,1,2))]. 7452 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7412(a,1),6197(a,1,1,2))]. 7457 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7414(a,1),5155(a,1))]. 7465 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(17(a,1),7421(a,1,2,2)),flip(a)]. 7469 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(220,a,7090,a,b,7422,a(flip)),flip(a)]. 7474 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(131(a,1),7430(a,1,2))]. 7475 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(7430(a,1),4801(a,2,2)),flip(a)]. 7480 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(131(a,1),7431(a,1,1))]. 7484 K((x * y) / x,z) * x = x * K(y,z). [para(7432(a,1),7368(a,1,2)),flip(a)]. 7486 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(45(a,2),7465(a,1,2))]. 7487 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7465(a,1),6704(a,1,1))]. 7489 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(220,a,7345,a,b,7469,a(flip)),flip(a)]. 7490 K(x,T(y,z / x)) = T(K(x,y),z). [para(19(a,1),7469(a,1,2)),flip(a)]. 7491 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7469(a,1),118(a,1,2))]. 7496 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(7490(a,1),4801(a,2,2))]. 7503 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7417(a,2),7347(a,1))]. 7504 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7345(a,1),7457(a,1))]. 7513 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7360(a,2),7503(a,1))]. 7517 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(220,a,7345,a,b,7358,a)]. 7519 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(7218(a,1),7379(a,1,2))]. 7522 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5510(a,2),7406(a,1,1))]. 7523 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5516(a,1),7406(a,1,1)),flip(a)]. 7529 K(x,y * K(z,x)) = K(x,y). [para(7484(a,1),7337(a,1,2))]. 7534 K(x,y * K(x,z)) = K(x,y). [para(6172(a,1),7529(a,1,2)),flip(a)]. 7537 K(x,K(x,y) * z) = K(x,z * K(x,u)). [hyper(220,a,7331,a,b,7534,a),flip(a)]. 7543 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7534(a,1),6451(a,1,1)),flip(a)]. 7548 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7484(a,1),7517(a,1,2,2))]. 7549 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7537(a,1),7332(a,1))]. 7556 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6172(a,1),7548(a,1,2,2)),flip(a)]. 7559 K(x,T(y,z * (u * K(x,w)))) = K(x,T(y,z * u)). [para(6590(a,1),7556(a,1,2,2))]. 7563 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7411(a,2),7377(a,1))]. 7564 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7496(a,2),7377(a,1))]. 7570 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7282(a,1,1))]. 7576 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(161,a,7344,a),flip(a)]. 7581 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(7576(a,1),63(a,1,2))]. 7586 x / T(y \ x,z) = T(x / y,z) \ x. [para(66(a,1),7581(a,1,2,1,1))]. 7588 T(x / (x / y),z) \ x = x / T(y,z). [para(140(a,1),7581(a,1,2,1)),flip(a)]. 7590 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7586,a),flip(a)]. 7596 x / (y * K(z,y \ x)) = T(x / y,z). [para(7590(a,1),63(a,1,2))]. 7597 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(16(a,1),7596(a,1,2,2,2))]. 7599 T(x,y) * K(z,T(T(x,u),w)) = K(z,T(T(x,u),w)) * T(x,y). [para(189(a,1),7404(a,1,2,2,1))]. 7602 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1660(a,1),7429(a,1,1)),flip(a)]. 7603 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2857(a,1),7429(a,2,2))]. 7606 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(130(a,1),7475(a,2,2))]. 7608 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6142,a,7491,a),flip(a)]. 7610 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(7608(a,2),22(a,1))]. 7611 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(220,a,7379,a(flip),b,7519,a(flip))]. 7612 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(220,a,6519,a,b,7611,a(flip)),flip(a)]. 7613 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(17(a,1),7611(a,1,1)),flip(a)]. 7615 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7402,a,7522,a)]. 7617 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(63(a,1),7615(a,1,2,1,1))]. 7618 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(20,a,6324,a,b,7523,a),flip(a)]. 7619 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(220,a,4898,a(flip),b,7597,a)]. 7620 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6359(a,1),7603(a,1,1,1)),flip(a)]. 7622 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6505(a,2),7295(a,1))]. 7623 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5242(a,1),7444(a,1))]. 7624 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6173(a,1),7451(a,1))]. 7638 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7417(a,1),7624(a,1,2))]. 7640 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [hyper(7638,a,7186,a)]. 7641 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(7186(a,1),5165(a,1,2))]. 7645 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7251(a,1),6197(a,1,1))]. 7647 K(T(x,y \ 1),z) = K(x,T(z,y \ x)). [hyper(7452,a,7284,a),flip(a)]. 7648 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [hyper(7503,a,7647,a)]. 7649 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(16(a,1),7648(a,2,2,2))]. 7650 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,7308,a)]. 7657 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(45(a,2),7486(a,2,2))]. 7662 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7232(a,1),7559(a,1,2,2,2)),flip(a)]. 7673 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(7345(a,2),7640(a,2,2,2))]. 7675 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1267(a,1),7650(a,1,2))]. 7677 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(16(a,1),7657(a,1,2,1,2)),flip(a)]. 7679 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(7673(a,1),23(a,1)),flip(a)]. 7681 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5183,a,7677,a)]. 7685 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7040,a,7681,a)]. 7686 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(220,a,7118,a(flip),b,7685,a(flip)),flip(a)]. 7687 K(L((x \ y) * z,u,w) \ 1,z) = L(K(y \ (z \ x),z),u,w). [para(7133(a,1),7285(a,1,1)),flip(a)]. 7690 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(220,a,6704,a(flip),b,7487,a(flip))]. 7698 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7345(a,2),7351(a,1,1))]. 7701 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,y)) * z. [para(7421(a,1),7448(a,2,1))]. 7702 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(117(a,1),7701(a,2,1,2))]. 7704 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(7702(a,1),4857(a,1,2))]. 7706 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(7602(a,2),7503(a,1))]. 7708 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(5933(a,1),7645(a,1))]. 7709 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6568(a,2),7708(a,1))]. 7711 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6112,a,7698,a)]. 7721 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7304(a,1),5795(a,1,2)),flip(a)]. 7724 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5115(a,1),7319(a,1,2))]. 7725 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5115(a,1),7724(a,2,2))]. 7726 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7725(a,1),384(a,1,2)),flip(a)]. 7727 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4084(a,1),7726(a,1,2,1))]. 7728 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4084(a,1),7727(a,2,2,2))]. 7729 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7728(a,1),4115(a,1,1))]. 7737 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4993(a,1),7619(a,1,2,2))]. 7738 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x,y). [hyper(220,a,4778,a(flip),b,7737,a)]. 7740 K(x * K(y,z),z) = K(x,z). [hyper(6000,a,7738,a)]. 7742 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7740(a,1),4015(a,1,1))]. 7744 K(x * T(y,z),y) = K(x * y,y). [para(5686(a,1),7740(a,1,1)),flip(a)]. 7746 K(x * K(y,z),y) = K(x,y). [para(6172(a,1),7740(a,1,1)),flip(a)]. 7748 K(K(x,y) * z,y) = K(z,y). [para(6530(a,1),7740(a,1,1))]. 7749 K(x * K(y,T(z,u)),z) = K(x,z). [para(7352(a,1),7740(a,1,1,2))]. 7750 K(K(x,y) * z,x) = K(z,x). [para(7398(a,1),7740(a,1,1)),flip(a)]. 7751 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7432(a,1),7740(a,1,1,2))]. 7753 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7746(a,1),5491(a,1,1,1,2)),flip(a)]. 7754 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5901(a,1),7746(a,1,1,2))]. 7755 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6590(a,1),7746(a,1,1))]. 7760 K(K(x,y) \ z,x) = K(z,x). [para(5242(a,2),7748(a,1,1))]. 7770 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7750(a,1),6111(a,1,1))]. 7771 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6845(a,1),7750(a,1,1,1))]. 7775 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7744(a,1),7543(a,2,2))]. 7777 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5535(a,1),7749(a,1,1))]. 7780 K((K(x,y) * z) * u,x) = K(z * u,x). [para(114(a,1),7771(a,1,1))]. 7781 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6704(a,1),7771(a,1,1,1))]. 7783 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4857(a,1),7781(a,1,1)),flip(a)]. 7787 K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). [para(7398(a,1),7751(a,1,1)),flip(a)]. 7791 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7368(a,1),7755(a,1,1,2))]. 7797 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7777(a,1),6740(a,1,1,2))]. 7798 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6845(a,1),7787(a,1,1,1))]. 7801 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7791(a,1),5489(a,1,2,1,2)),flip(a)]. 7806 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(220,a,6704,a(flip),b,7742,a(flip)),flip(a)]. 7807 K(R(x,K(y,z),u),z) = K(x,z). [hyper(220,a,7740,a(flip),b,7806,a)]. 7809 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(49(a,1),7807(a,1,1))]. 7810 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7770(a,1),3583(a,1)),flip(b)]. 7813 K(x * y,x) != z | K(y * x,x) = z. [para(4853(a,1),7810(a,1,1))]. 7818 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6704(a,1),7798(a,1,1,1))]. 7820 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,6448,a(flip),b,7775,a)]. 7832 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(220,a,5625,a(flip),b,7641,a)]. 7833 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7376(a,1),7832(a,1,2,2))]. 7834 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6431(a,2),7833(a,1,2))]. 7835 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4869,a,7834,a)]. 7836 K(x,K(y,z)) = K(z,K(y,x)). [hyper(220,a,7612,a(flip),b,7835,a(flip))]. 7837 K(K(x,y),z) = K(x,K(y,z)). [hyper(220,a,5626,a,b,7836,a),flip(a)]. 7838 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(220,a,7835,a(flip),b,7836,a)]. 7842 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7836(a,1),4801(a,2,2)),flip(a)]. 7845 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7836(a,1),5627(a,1,2))]. 7846 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7836(a,1),5628(a,1,1))]. 7847 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7836(a,1),5629(a,1,1))]. 7849 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7836(a,1),6486(a,2,2))]. 7850 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7836(a,1),7354(a,1,2))]. 7852 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(220,a,5756,a(flip),b,7837,a)]. 7853 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(220,a,6838,a,b,7837,a(flip)),flip(a)]. 7856 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7837(a,1),5142(a,1,1))]. 7868 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7750(a,1),7837(a,1,1)),flip(a)]. 7870 K(x,K(y,y * z)) = K(x,K(y,z)). [para(7333(a,1),7838(a,1,2))]. 7872 K(K(x,y),z) = K(y,K(z,x)). [hyper(5155,a,7856,a)]. 7873 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5678,a,7872,a)]. 7874 K(K(x,y),z) = K(x,K(z,y)). [hyper(220,a,7836,a,b,7872,a)]. 7875 K(x,K(y,z)) = K(z,K(x,y)). [hyper(220,a,7837,a(flip),b,7872,a(flip))]. 7876 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7872(a,1),4801(a,2,2)),flip(a)]. 7879 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7872(a,1),5678(a,1))]. 7880 K(K(x,y),z) = K(y,K(x,z)). [hyper(220,a,7837,a,b,7873,a),flip(a)]. 7881 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(220,a,7613,a,b,7873,a),flip(a)]. 7883 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7873(a,1),4801(a,2,2)),flip(a)]. 7884 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7873(a,1),4812(a,2,1)),flip(a)]. 7885 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7873(a,1),4804(a,1,2))]. 7886 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7873(a,1),5022(a,1,1))]. 7891 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7873(a,1),7842(a,1,2))]. 7892 K(K(x,y),z) = K(z,K(x,y)). [hyper(220,a,7873,a,b,7874,a)]. 7893 K(x,K(y,z)) = K(x,K(z,y)). [hyper(220,a,7837,a(flip),b,7874,a(flip))]. 7897 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7874(a,1),5678(a,1))]. 7900 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(220,a,7379,a,b,7875,a),flip(a)]. 7905 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7875(a,2),4812(a,2,1)),flip(a)]. 7907 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7875(a,2),4875(a,1,1))]. 7909 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7875(a,2),5022(a,1,1))]. 7919 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7875(a,2),7353(a,1,1))]. 7920 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7875(a,1),7354(a,1,2))]. 7921 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7875(a,1),7842(a,1,2))]. 7922 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7880(a,1),4853(a,1,1))]. 7924 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5756(a,1),7880(a,1,1)),flip(a)]. 7928 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7892(a,1),4801(a,2,2)),flip(a)]. 7941 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7892(a,1),5678(a,1))]. 7946 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7893(a,1),4812(a,2,1)),flip(a)]. 7952 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),7870(a,1,2,2)),flip(a)]. 7953 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5318(a,1),7870(a,1,2)),flip(a)]. 7956 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(220,a,7873,a,b,7881,a(flip)),flip(a)]. 7959 T(x,K(y,z)) = T(x,K(z,y)). [hyper(220,a,7842,a(flip),b,7891,a(flip))]. 7961 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7563,a,7959,a),flip(a)]. 7963 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(220,a,6190,a,b,7959,a),flip(a)]. 7970 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(220,a,5713,a(flip),b,7959,a)]. 7983 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7921(a,1),4804(a,1))]. 7984 T(x,K(y * z,y)) = x * K(x,K(y,z)). [para(7870(a,1),7921(a,1,2)),flip(a)]. 7986 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7952(a,1),5631(a,2,2))]. 7987 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(4986(a,1),7956(a,2,2))]. 8006 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7845(a,2),7347(a,1))]. 8009 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7850(a,1),22(a,1))]. 8011 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(220,a,7880,a(flip),b,7868,a)]. 8012 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(220,a,7872,a(flip),b,7868,a)]. 8013 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(220,a,7837,a(flip),b,7868,a)]. 8016 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2124,a,7900,a)]. 8023 (x * K(y,z)) / x = T(K(y,z),x). [hyper(4817,a,7928,a)]. 8028 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(220,a,7345,a,b,8023,a)]. 8030 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6154(a,2),8023(a,1,1))]. 8034 K(x,T(y,z)) * z = z * K(x,y). [para(8028(a,1),19(a,1,1))]. 8035 T(K(x,T(y,z)),z) = K(x,y). [para(8028(a,1),154(a,1,1))]. 8038 L(K(x,T(y,z)),u,w) * z = z * L(K(x,y),u,w). [para(8028(a,1),533(a,1,1,1))]. 8043 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8028(a,1),704(a,1,1,1))]. 8044 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(8028(a,1),1245(a,1,1,1))]. 8048 K(T(x,y),T(z,y)) = K(x,z). [hyper(7504,a,8035,a)]. 8049 K(x,T(T(y,z),z)) = K(x,y). [hyper(7347,a,8035,a)]. 8054 T(K(x,y \ z),z) = K(x,z / y). [para(7192(a,1),8035(a,1,1))]. 8060 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(41(a,1),8048(a,1,2))]. 8061 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),8048(a,1,1))]. 8063 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(45(a,2),8048(a,1,1))]. 8064 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(45(a,2),8048(a,1,2))]. 8065 K(x \ y,T(z,x)) = K(y / x,z). [para(120(a,1),8048(a,1,1))]. 8071 x * K(T(x,y),T(z,y)) = T(x,z). [para(8048(a,2),4801(a,2,2)),flip(a)]. 8072 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8048(a,1),4812(a,2,1))]. 8073 K(x * K(y,x),z) = K(x,T(z,y)). [para(4824(a,1),8048(a,1,1)),flip(a)]. 8075 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8048(a,1),5228(a,1,1)),flip(a)]. 8077 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8048(a,1),6873(a,1,1))]. 8079 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8048(a,1),7401(a,1,2,2))]. 8082 K(x,T(y \ z,y)) = K(x,z / y). [para(120(a,1),8049(a,1,2,1))]. 8086 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8049(a,1),7491(a,1,2)),flip(a)]. 8094 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8034(a,1),4818(a,1,2)),flip(a)]. 8106 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(220,a,7224,a(flip),b,8065,a(flip))]. 8107 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),8065(a,1,1)),flip(a)]. 8118 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(4953(a,1),8073(a,1,1)),flip(a)]. 8119 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7436(a,1),8073(a,1,1,2)),flip(a)]. 8127 K(x,T((y * (z * K(x,u))) \ w,y * z)) = K(x,w / (y * (z * K(x,u)))). [hyper(220,a,7559,a(flip),b,8082,a(flip)),flip(a)]. 8150 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(220,a,4801,a,b,7984,a)]. 8151 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(7983,a,8150,a)]. 8154 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(17(a,1),8151(a,1,2,2)),flip(a)]. 8160 K(x,T(y,K(z,z \ x))) = K(x,y). [para(8154(a,2),7237(a,1,2))]. 8162 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6187(a,1),8160(a,1,2))]. 8168 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7897,a,8012,a)]. 8169 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5238(a,1),8013(a,1,1)),flip(a)]. 8171 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8034(a,1),8013(a,1,1))]. 8174 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8016(a,1),6175(a,1,1)),flip(b)]. 8177 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(220,a,5381,a,b,8072,a)]. 8185 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8094(a,2),6873(a,1,2))]. 8194 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5596(a,1),8168(a,1,2,2)),flip(a)]. 8195 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8079(a,1),8168(a,1,2,2)),flip(a)]. 8196 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(220,a,8011,a(flip),b,8169,a)]. 8202 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8195(a,1),7905(a,1,1))]. 8211 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4986(a,1),7907(a,1,1,2))]. 8213 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6173(a,2),7922(a,1,2))]. 8214 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7987(a,1),7922(a,1,1))]. 8222 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7970(a,1),7503(a,1,1))]. 8224 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8030(a,1),5008(a,1))]. 8225 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6336(a,2),8224(a,1))]. 8232 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(220,a,6412,a(flip),b,8061,a(flip)),flip(a)]. 8234 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4144(a,1),8063(a,1,1,1)),flip(a)]. 8236 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8177(a,1),8075(a,1,1))]. 8237 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(220,a,6140,a(flip),b,8086,a)]. 8238 T(x,T(T(y,z),z)) = T(x,y). [hyper(7610,a,8237,a)]. 8241 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5452,a,8237,a)]. 8245 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(220,a,8177,a(flip),b,8238,a(flip)),flip(a)]. 8258 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,241,a(flip),b,8241,a)]. 8266 K(x,y) * T(T(y,x),z) = T(y,T(z,x)). [hyper(5249,a,8245,a)]. 8269 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(175(a,1),8266(a,1,2))]. 8282 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5927(a,1),8213(a,1,1,2))]. 8286 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7837(a,1),8236(a,2,1))]. 8299 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,8119,a)]. 8300 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(120(a,1),8299(a,1,2,2)),flip(a)]. 8302 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4081(a,2),8225(a,1,1))]. 8303 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7412(a,1),8302(a,1))]. 8306 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(7309(a,1),8303(a,1,2))]. 8307 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(220,a,8048,a(flip),b,8232,a(flip))]. 8309 T(K(x,y),z) * (T(y,x) * u) = K(x,K(y,z)) * (y * u). [para(4857(a,1),7847(a,1,2)),flip(a)]. 8332 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(5504,a,8106,a)]. 8338 K(x,y * K(z \ x,z)) = K(x,y). [hyper(220,a,7165,a(flip),b,8162,a(flip))]. 8340 K(x,y) * ((y * K(z \ x,z)) * x) = x * (y * K(z \ x,z)). [para(8338(a,1),4853(a,1,1))]. 8349 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8258(a,1),6141(a,1,1,1))]. 8371 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5756(a,1),7852(a,1,1)),flip(a)]. 8372 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7837(a,1),7853(a,1,1))]. 8373 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5756(a,1),7924(a,1,2)),flip(a)]. 8374 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(220,a,8371,a,b,8373,a(flip)),flip(a)]. 8375 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7873(a,1),8374(a,1,1))]. 8376 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8375(a,2),4804(a,1,2))]. 8381 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(7638,a,7986,a)]. 8391 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(220,a,8064,a(flip),b,8077,a)]. 8400 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7909,a,8202,a),flip(a)]. 8401 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6077,a,8400,a),flip(a)]. 8404 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8400(a,2),6169(a,1,1))]. 8407 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7884(a,1),8401(a,1,1)),flip(a)]. 8410 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7961(a,1),8211(a,2,1))]. 8419 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(220,a,7690,a(flip),b,8234,a)]. 8420 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(115(a,1),8419(a,1,1)),flip(a)]. 8423 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7872(a,1),8286(a,2,2))]. 8425 T(K(x,y),z) * (T(y,x) * u) = T(y,K(x,z)) * u. [hyper(7886,a,8309,a(flip)),flip(a)]. 8426 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(7679,a,8425,a(flip))]. 8427 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8054(a,1),8426(a,1,1))]. 8428 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(220,a,8269,a(flip),b,8427,a(flip))]. 8433 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8372(a,2),7946(a,1,1))]. 8434 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(220,a,7606,a(flip),b,8381,a(flip))]. 8435 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7875(a,2),8434(a,1,2))]. 8436 (x \ y) * K(x,K(y,z)) = T(x \ y,K(z,y)). [hyper(220,a,8428,a,b,8435,a)]. 8437 (x \ y) * K(y,K(x,z)) = T(x \ y,K(z,y)). [para(7873(a,1),8436(a,1,2))]. 8438 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(20,a,7891,a,b,8437,a),flip(a)]. 8439 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8438,a)]. 8440 x * K(y,K(x,z \ x)) = T(x,K(y,z)). [para(8438(a,2),7921(a,1,2))]. 8441 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(220,a,7953,a,b,8439,a(flip)),flip(a)]. 8443 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(7941,a,8441,a)]. 8446 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(220,a,7893,a,b,8441,a)]. 8447 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(220,a,7875,a(flip),b,8441,a)]. 8448 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(220,a,8372,a,b,8441,a(flip)),flip(a)]. 8457 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6261(a,1),8443(a,1,2))]. 8464 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8446(a,2),7941(a,1))]. 8466 T(x,K(y,z \ 1)) = x * K(z,K(y,x)). [para(8447(a,1),7883(a,1,2)),flip(a)]. 8478 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7885,a,8440,a)]. 8479 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(220,a,6325,a,b,8478,a(flip)),flip(a)]. 8482 x * K(y,K(x / z,x)) = T(x,K(y,z)). [hyper(220,a,7891,a,b,8479,a(flip)),flip(a)]. 8484 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8457(a,1),7941(a,1))]. 8485 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(220,a,7891,a(flip),b,8466,a)]. 8486 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(220,a,7842,a(flip),b,8466,a)]. 8487 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7983,a,8485,a)]. 8490 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7563,a,8486,a),flip(a)]. 8494 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8487(a,2),7983(a,1))]. 8499 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(20,a,4801,a(flip),b,8482,a)]. 8502 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(6344(a,1),8499(a,1,2))]. 8505 K(x,y \ x) * K(x,K(z,y)) = K(x,T(y \ x,z)). [para(8502(a,1),7354(a,1,2))]. 8508 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7563,a,8490,a),flip(a)]. 8510 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(220,a,4801,a(flip),b,8508,a)]. 8513 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4866,a,8510,a)]. 8516 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(220,a,7649,a(flip),b,8513,a(flip)),flip(a)]. 8521 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6492(a,1),8513(a,1,2))]. 8525 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(248(a,1),8516(a,1,2)),flip(a)]. 8526 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(546(a,1),8516(a,1,2)),flip(a)]. 8529 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8521(a,1),7231(a,1))]. 8534 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5514(a,2),8464(a,1,2))]. 8537 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7219(a,2),8529(a,1))]. 8540 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6492(a,1),8537(a,1,2))]. 8555 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8441(a,1),8448(a,1,1))]. 8558 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8555(a,2),4801(a,2,2)),flip(a)]. 8580 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T((z \ y) \ x,u)). [para(6576(a,1),8505(a,1,1))]. 8581 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8525(a,1),6746(a,1,2))]. 8582 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8526(a,1),6742(a,1,2))]. 8583 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8526(a,2),7876(a,2,1))]. 8592 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8581,a(flip),b,4818,a),flip(a)]. 8593 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8582(a,1),5442(a,1,1)),flip(a)]. 8603 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(220,a,8060,a(flip),b,8118,a(flip))]. 8606 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8376,a,8558,a)]. 8620 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(220,a,8049,a(flip),b,8420,a(flip)),flip(a)]. 8622 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(2126,a,8592,a)]. 8624 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(220,a,7396,a(flip),b,8620,a),flip(a)]. 8625 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(66(a,1),8624(a,1,1,1)),flip(a)]. 8626 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(18(a,1),8625(a,1,1,2)),flip(a)]. 8628 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(220,a,6873,a(flip),b,8626,a(flip))]. 8629 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7748(a,1),8626(a,1,1))]. 8630 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(8628(a,2),4801(a,2,2)),flip(a)]. 8640 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(220,a,5244,a(flip),b,7721,a)]. 8642 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(220,a,5949,a(flip),b,8640,a(flip)),flip(a)]. 8682 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(220,a,8391,a(flip),b,8185,a(flip))]. 8684 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4835(a,1),8682(a,1,2,2)),flip(a)]. 8685 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7368(a,1),8682(a,1,2,2))]. 8686 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(220,a,6874,a,b,8684,a(flip)),flip(a)]. 8688 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(5681(a,1),8686(a,1,2))]. 8689 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(6206(a,1),8686(a,1,2))]. 8691 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8685(a,1),6169(a,1,1,2)),flip(a)]. 8693 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(220,a,8682,a(flip),b,8689,a)]. 8695 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(19(a,1),8693(a,1,2)),flip(a)]. 8696 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(220,a,8688,a,b,8695,a(flip)),flip(a)]. 8699 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7398(a,1),8696(a,1,2)),flip(a)]. 8702 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8691(a,2),6197(a,1))]. 8720 K(x,y) * z != x * (y * K(u \ x,u)) | (y * K(u \ x,u)) * x = z. [para(8340(a,1),22(a,1)),flip(a)]. 8728 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8446(a,1),8433(a,1,1,1)),flip(a)]. 8729 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8375(a,1),8728(a,2,1))]. 8730 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(220,a,4812,a,b,8729,a)]. 8731 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8494,a,8730,a),flip(a)]. 8732 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(220,a,8606,a(flip),b,8731,a(flip))]. 8733 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [hyper(220,a,3049,a(flip),b,8732,a)]. 8747 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(220,a,5491,a(flip),b,7753,a)]. 8751 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7367(a,2),8044(a,1,1))]. 8753 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(8222,a,7818,a)]. 8755 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(5779,a,8593,a),flip(a)]. 8775 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * L(T(y,v5),u,w)). [para(43(a,2),7277(a,2,2,2))]. 8776 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7321(a,1),7326(a,1,2,2)),flip(a)]. 8777 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(220,a,5362,a(flip),b,8776,a)]. 8779 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8777,a(flip))]. 8801 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(220,a,8410,a(flip),b,8214,a(flip)),flip(a)]. 8802 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(21,a,7599,a,b,8801,a)]. 8803 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4824(a,1),8802(a,1,2,2,1))]. 8830 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7875(a,1),8423(a,1,1,1))]. 8831 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T(y \ (z * x),u)). [hyper(220,a,7711,a(flip),b,8580,a)]. 8835 (K(x,y) * z) * L(T(y,u),w,v5) = K(x,y) * (z * L(T(y,u),w,v5)). [para(43(a,2),8775(a,1,2))]. 8841 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8407(a,1),8830(a,1,1))]. 8842 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7875(a,1),8841(a,2,1))]. 8843 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7873(a,1),8842(a,2,2))]. 8844 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(20,a,7920,a,b,8831,a),flip(a)]. 8845 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(8484,a,8844,a)]. 8847 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(19(a,1),8845(a,1,2,2,1)),flip(a)]. 8850 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(220,a,8194,a(flip),b,8847,a(flip)),flip(a)]. 8853 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8850(a,1),7850(a,1,2))]. 8855 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8006,a,8853,a),flip(a)]. 8856 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(16(a,1),8855(a,1,2,2,1)),flip(a)]. 8857 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),8856(a,1,2,2)),flip(a)]. 8858 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(537(a,1),8857(a,1,2,2))]. 8878 K(x,y) * (z * L(T(y,z),u,w)) = L(y,u,w) * (K(x,y) * z). [hyper(7318,a,8835,a),flip(a)]. 8879 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(172(a,1),8878(a,1,2)),flip(a)]. 8880 (L(x,y,z) * (K(u,x) * w)) \ ((L(x,y,z) * w) * K(u,x)) = K(L(x,y,z) * w,K(u,x)). [para(8879(a,2),29(a,2,1)),flip(a)]. 8893 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3519(a,2),8107(a,1,1))]. 8901 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(220,a,8628,a(flip),b,8893,a(flip)),flip(a)]. 8944 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(220,a,8803,a(flip),b,7797,a(flip)),flip(a)]. 8946 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8944,a(flip))]. 8947 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8238(a,1),8946(a,1,2))]. 8949 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(220,a,5489,a(flip),b,7801,a)]. 8950 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4883(a,1),8949(a,1,1)),flip(a)]. 8954 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7780(a,1),8779(a,1,1,2))]. 8955 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8954,a(flip))]. 8973 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5238(a,1),5258(a,2,2))]. 8974 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(220,a,16,a(flip),b,8973,a)]. 8978 L(x,y,K(x,z)) = x. [hyper(220,a,7272,a(flip),b,8974,a(flip)),flip(a)]. 8979 (K(R(x,y,x),z) * y) \ (K(R(x,y,x),z) * T(x * y,x)) = R(x,y,x). [hyper(220,a,4577,a,b,8978,a(flip)),flip(a)]. 8981 (K(x,y) * z) * x = K(x,y) * (z * x). [para(8978(a,1),103(a,1,2))]. 8984 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(8978(a,1),393(a,1,2,1))]. 8988 L(K(x,y),z,K(y,u)) = K(x,y). [para(8978(a,1),6587(a,1,2)),flip(a)]. 8991 R(K(x,y),z,x) = K(x,y). [hyper(4688,a,8981,a)]. 8992 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(220,a,5064,a(flip),b,8981,a)]. 8995 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(8981(a,1),322(a,1,1))]. 8996 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5229(a,1),8981(a,1,1))]. 8998 K(x,R(y,z,x)) = K(x,y). [hyper(220,a,8693,a(flip),b,8991,a(flip)),flip(a)]. 8999 K(R(x,y,x),z) = K(x,z). [hyper(220,a,8626,a(flip),b,8991,a(flip)),flip(a)]. 9002 T(x,R(y,z,x)) = x * K(x,y). [para(8998(a,1),4801(a,2,2))]. 9005 x * K(R(x,y,x),z) = T(x,z). [para(8999(a,2),4801(a,2,2)),flip(a)]. 9008 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8999(a,1),5133(a,1,1))]. 9010 T(x,R(y,z,x)) = T(x,y). [hyper(220,a,4801,a,b,9002,a)]. 9019 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(653(a,1),9010(a,1,2))]. 9025 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(160,a,8992,a,b,4818,a)]. 9032 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6071,a,9025,a)]. 9034 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(17(a,1),9025(a,1,1)),flip(a)]. 9041 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9032(a,1),1508(a,1,1)),flip(a)]. 9042 K(x,(y * K(z,x)) \ u) = (y * T(y \ u,x)) \ u. [para(9032(a,1),5733(a,1,1,2)),flip(a)]. 9043 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9032(a,1),6074(a,1,1)),flip(a)]. 9044 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(220,a,4809,a,b,9034,a(flip)),flip(a)]. 9051 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(220,a,6155,a,b,9043,a),flip(a)]. 9059 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5130(a,1),9051(a,1,1,1)),flip(a)]. 9061 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7564,a,9019,a)]. 9062 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(120(a,1),9061(a,1,2)),flip(a)]. 9064 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9062(a,1),4836(a,1,1,1))]. 9065 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(220,a,5717,a(flip),b,9042,a)]. 9068 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(9065(a,1),4801(a,2,2))]. 9070 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5765(a,1),9065(a,1,2,1,2))]. 9071 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6192(a,1),9065(a,1,2,1)),flip(a)]. 9072 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(6530(a,1),9065(a,1,2,1))]. 9074 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(220,a,7087,a(flip),b,9072,a(flip)),flip(a)]. 9080 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4853(a,1),9074(a,1,2,2)),flip(a)]. 9084 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9074(a,1),6153(a,1,2,2)),flip(a)]. 9089 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(220,a,7001,a,b,9080,a),flip(a)]. 9095 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(16(a,1),9089(a,1,2)),flip(a)]. 9096 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9089(a,1),6570(a,1,1))]. 9098 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(220,a,4801,a,b,9068,a)]. 9100 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6172(a,1),9098(a,1,2,1)),flip(a)]. 9101 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6949(a,1),9100(a,1,2,1)),flip(a)]. 9118 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = T(K(x,y \ v5),v6). [para(9070(a,1),7345(a,2,1))]. 9127 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(220,a,7108,a(flip),b,9071,a(flip))]. 9132 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(16(a,1),9127(a,1,2,2))]. 9134 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9080,a,b,9132,a)]. 9137 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9071,a,b,9134,a(flip)),flip(a)]. 9141 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9137(a,1),6570(a,1,1))]. 9151 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4688,a,8984,a)]. 9152 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4853(a,1),8984(a,1,1)),flip(a)]. 9153 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(8984(a,1),5070(a,1,1,2))]. 9155 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(220,a,8626,a(flip),b,9151,a(flip)),flip(a)]. 9158 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(7706,a,9155,a),flip(a)]. 9159 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9155(a,1),4812(a,2,1)),flip(a)]. 9160 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9155(a,1),5281(a,1,1,1)),flip(a)]. 9161 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(19(a,1),9158(a,1,2,2)),flip(a)]. 9162 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(220,a,8300,a(flip),b,9161,a(flip)),flip(a)]. 9164 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(16(a,1),9162(a,1,2,2)),flip(a)]. 9166 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(220,a,7850,a,b,9164,a)]. 9169 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8009,a,9166,a)]. 9171 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),9169(a,1,2,2)),flip(a)]. 9172 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(114(a,1),9169(a,1,2,2))]. 9173 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8484,a,9171,a)]. 9174 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(66(a,1),9173(a,1,2,2)),flip(a)]. 9175 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8534,a,9174,a),flip(a)]. 9177 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9172(a,1),7919(a,1,1))]. 9182 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9044(a,2),1507(a,2,1,2))]. 9183 T(x,y \ (K(x,z) * u)) = T(x,y \ u). [hyper(220,a,6153,a(flip),b,9084,a)]. 9184 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9084(a,2),6213(a,1))]. 9187 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5596(a,1),9183(a,1,2,2)),flip(a)]. 9190 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5115(a,1),9184(a,1,2))]. 9191 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(9190,a,7116,a),flip(a)]. 9192 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9191(a,1,2))]. 9193 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9187(a,1),4836(a,1,1,1))]. 9195 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1651(a,2),9152(a,1,2))]. 9197 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,45,a,b,9159,a)]. 9198 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8174,a,9177,a),flip(a)]. 9199 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(17(a,1),9198(a,1,2,2,1)),flip(a)]. 9200 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7513,a,9199,a),flip(a)]. 9202 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9200(a,1),8044(a,1,1,1))]. 9203 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(71,a,9197,a(flip),b,4189,a),flip(a)]. 9204 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9197(a,1),8996(a,1,1,2)),flip(a)]. 9214 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = K(x,T(y \ v5,v6)). [hyper(220,a,7345,a,b,9118,a)]. 9215 K(x,T((y * (z * K(x,u))) \ w,v5)) = K(x,T((y * z) \ w,v5)). [para(6539(a,1),9214(a,1,2,1,1)),flip(a)]. 9216 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(220,a,344,a(flip),b,9041,a)]. 9227 K(x,T((y * z) \ u,y * z)) = K(x,u / (y * (z * K(x,w)))). [hyper(220,a,8127,a(flip),b,9215,a(flip))]. 9229 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [hyper(220,a,8082,a(flip),b,9227,a(flip))]. 9231 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7401(a,1),9229(a,1,2,2)),flip(a)]. 9232 K(x,y / (z * (T(u,x) \ w))) = K(x,y / (z * (u \ w))). [para(7387(a,1),9229(a,1,2,2,2))]. 9233 K(x,y / (z * x)) = K(x,y / (x * z)). [para(4853(a,1),9231(a,1,2,2))]. 9236 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6705(a,1),9231(a,1,2,2))]. 9237 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(220,a,8642,a(flip),b,9233,a)]. 9238 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(115(a,2),9233(a,2,2)),flip(a)]. 9240 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),9237(a,1,2,2,1)),flip(a)]. 9241 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4209(a,1),9237(a,1,2,2,1))]. 9242 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(220,a,4992,a(flip),b,9238,a(flip)),flip(a)]. 9244 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4853(a,1),9236(a,1,2,2,1))]. 9255 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(220,a,9134,a(flip),b,9096,a)]. 9262 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9240,a(flip),b,9241,a)]. 9263 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9242,a,b,9262,a(flip)),flip(a)]. 9264 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(66(a,1),9263(a,2,2,2,1))]. 9269 (K(x,y) * z) \ (K(R(x,z,x),y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),8979(a,1,1,1))]. 9270 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),9269(a,1,2,1))]. 9273 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(9025(a,2),9270(a,1,2))]. 9274 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4875(a,1),9273(a,1,2,1))]. 9275 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(220,a,5074,a(flip),b,9274,a(flip)),flip(a)]. 9277 R(x,T(y,x),x) = R(x,y,x). [para(4844(a,1),9275(a,1,2)),flip(a)]. 9280 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,9064,a),flip(a)]. 9284 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8035(a,1),9202(a,1,1)),flip(a)]. 9285 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9284(a,1),19(a,1,1))]. 9287 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(16(a,1),9285(a,1,1,1,1))]. 9288 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(8995,a,7155,a)]. 9289 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8034(a,1),9288(a,1,3))]. 9290 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6560,a,9289,a)]. 9292 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9290(a,1),1861(a,1,1,2))]. 9299 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(220,a,9255,a(flip),b,9141,a(flip))]. 9305 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(16(a,1),9287(a,2,2,1,1))]. 9306 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,9305,a)]. 9307 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9305(a,1),272(a,1,1)),flip(b)]. 9309 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(118(a,2),9306(a,1,2))]. 9310 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(7171(a,2),9309(a,1,1))]. 9311 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9310(a,1),429(a,1))]. 9312 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5277(a,1),5286(a,1,1,2,1))]. 9313 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(87,a,9312,a)]. 9314 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(9313(a,2),63(a,1,2))]. 9315 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(9314(a,1),7588(a,1,1,1)),flip(a)]. 9330 T(x / (y \ 1),(x / (y \ 1)) \ x) = ((x / (y \ 1)) \ T(x,y)) \ T(x,y). [hyper(5662,a,6781,a),flip(a)]. 9331 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [hyper(220,a,524,a(flip),b,9330,a(flip))]. 9333 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(9331(a,1),63(a,1,2))]. 9339 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(220,a,891,a(flip),b,6798,a(flip)),flip(a)]. 9347 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(173(a,1),9204(a,2,1))]. 9348 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(220,a,9195,a(flip),b,9347,a(flip))]. 9350 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8955(a,1),9339(a,2,2,2,1,1))]. 9356 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(15(a,1),5876(a,1,1))]. 9357 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5002,a,9356,a),flip(a)]. 9358 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1654(a,1),9357(a,1,1))]. 9359 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6908,a(flip),b,9358,a)]. 9360 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6910,a(flip),b,9359,a(flip)),flip(a)]. 9361 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(160,a,9360,a,b,3661,a)]. 9363 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(39,a,9361,a)]. 9364 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9363(a,1),4904(a,1,1,1))]. 9365 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9364(a,1),2173(a,1,1)),flip(a)]. 9366 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3273(a,1),5925(a,1,2,1,1))]. 9367 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3041(a,1),9366(a,1,2))]. 9368 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(220,a,6862,a(flip),b,6649,a(flip))]. 9369 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1829(a,2),6748(a,1,2))]. 9375 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(7281(a,2),674(a,1))]. 9379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(45(a,2),8753(a,1,1,2))]. 9388 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9193(a,1),5012(a,1))]. 9464 (x * y) * L((y \ (z \ 1)) * K(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5726(a,1),9369(a,1,2,1))]. 9474 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7959(a,1),9379(a,1,2))]. 9475 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8733(a,1),9474(a,1,2))]. 9476 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(9475(a,1),6740(a,1,1,2))]. 9478 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5362(a,1),9476(a,1,1))]. 9479 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,6964,a(flip),b,9478,a(flip))]. 9480 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9479(a,1),8593(a,2,1))]. 9481 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4628(a,1),4661(a,2,1))]. 9489 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4857(a,1),5128(a,2,2))]. 9490 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(9489(a,2),396(a,1))]. 9492 L(x,y,T(x,z)) = L(x,y,x). [hyper(9490,a,7272,a),flip(a)]. 9494 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9492(a,1),43(a,2,1))]. 9497 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(220,a,43,a,b,9494,a)]. 9508 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(5686(a,1),5722(a,2,1))]. 9509 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(220,a,33,a,b,9508,a)]. 9512 R(x,y,T(L(x,z,u),w)) = R(x,y,L(x,z,u)). [hyper(220,a,7264,a(flip),b,9509,a(flip)),flip(a)]. 9530 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(220,a,4562,a,b,6215,a),flip(a)]. 9550 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(142(a,1),8282(a,1,1))]. 9552 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6173(a,1),9550(a,1,2))]. 9553 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(9367(a,1),9552(a,1,2)),flip(a)]. 9554 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(220,a,14,a(flip),b,9553,a)]. 9555 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5249,a,9554,a)]. 9562 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(66(a,1),9481(a,1,1,2)),flip(a)]. 9563 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3762(a,1),9530(a,1,1)),flip(a)]. 9565 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(9563(a,1),6218(a,1,2)),flip(a)]. 9568 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(220,a,9315,a(flip),b,9565,a)]. 9569 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(220,a,5279,a(flip),b,9568,a)]. 9570 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(220,a,8332,a(flip),b,9569,a(flip)),flip(a)]. 9580 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = K(y,z). [hyper(220,a,2033,a(flip),b,6627,a)]. 9584 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(220,a,5487,a(flip),b,7137,a(flip))]. 9585 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(118(a,1),7174(a,2,2))]. 9591 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9175(a,1),8583(a,1,2))]. 9592 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7875(a,1),9591(a,1,2))]. 9594 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8526(a,1),9592(a,2,1))]. 9595 (L(x,y,z) * (K(u,x) * w)) \ (L(x,y,z) * (w * K(u,x))) = K(L(x,y,z) * w,K(u,x)). [para(7181(a,1),8880(a,1,2))]. 9599 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9475(a,1),9480(a,1,2,1))]. 9600 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5114(a,1),9599(a,1,2))]. 9603 K(L(x,K(y,z),L(z,u,w)),K(y,z)) = K(L(z,u,w) * x,K(y,z)). [hyper(6951,a,9595,a)]. 9604 K(x,K(L(y,K(x,z),L(z,u,w)),z)) = K(L(z,u,w) * y,K(x,z)). [hyper(7879,a,9603,a)]. 9618 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5778(a,1),6628(a,1,1,2))]. 9619 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(220,a,581,a(flip),b,9618,a)]. 9621 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(9619(a,1),19(a,1,1))]. 9622 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5249,a,9621,a)]. 9623 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7875(a,2),9621(a,1,1))]. 9624 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5238(a,1),9622(a,1,2,2)),flip(a)]. 9625 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(220,a,7704,a(flip),b,9624,a)]. 9629 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(9625(a,1),4818(a,1,2)),flip(a)]. 9630 R(x,y,T(x,y)) * z = x * (x * (L(x,y,x) \ z)). [hyper(220,a,5959,a(flip),b,9629,a(flip)),flip(a)]. 9631 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [para(4576(a,1),9630(a,1,1)),flip(a)]. 9632 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [hyper(20,a,1326,a,b,9631,a),flip(a)]. 9634 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7875(a,2),9623(a,2,2,1))]. 9635 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(555,a,9634,a),flip(a)]. 9636 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7875(a,2),9635(a,1,2,1))]. 9695 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(392(a,1),5396(a,1,2))]. 9696 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(5082(a,1),9695(a,1,2,2))]. 9697 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(87,a,9696,a),flip(a)]. 9698 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(9696(a,1),272(a,1,1)),flip(b)]. 9699 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1325(a,1),9696(a,1,1,2))]. 9700 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9696(a,1),8699(a,1,2)),flip(a)]. 9702 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9696(a,1),9074(a,1,2,2)),flip(a)]. 9704 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4972(a,1),9702(a,1,2,2,2)),flip(a)]. 9707 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(220,a,7618,a(flip),b,9704,a(flip))]. 9710 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5249,a,9699,a),flip(a)]. 9711 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5238(a,1),9699(a,1,2,2)),flip(a)]. 9714 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(71,a,58,a(flip),b,9710,a),flip(a)]. 9715 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(71,a,9714,a,b,1240,a)]. 9718 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7282(a,1),9711(a,2,2))]. 9741 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5114(a,1),9718(a,1,2)),flip(a)]. 9755 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(220,a,9299,a(flip),b,9707,a(flip))]. 9764 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(220,a,7617,a,b,9755,a(flip))]. 9772 (x * y) * L((y \ (z \ 1)) * K(y \ 1,z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5578(a,1),9464(a,1,2,1,2))]. 9773 x * (y * ((y \ (z \ 1)) * K(y \ 1,z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(212,a,9772,a)]. 9774 (x * K(y \ 1,z)) * (z \ 1) = x * ((z \ 1) * K(y \ 1,z)). [para(7143(a,1),9773(a,1,2)),flip(a)]. 9775 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4847(a,1),9774(a,2,2))]. 9776 (x * K(y,z)) * (z \ 1) = x * (T(z,(y \ 1) \ 1) \ 1). [para(3041(a,1),9775(a,1,1,2))]. 9777 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(3083(a,1),9776(a,2,2,1))]. 9778 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4834(a,1),9777(a,2,2))]. 9781 L((x \ (x * (T(y,z) \ 1))) / (y \ 1),y \ 1,x) = K(z,y). [para(9777(a,1),9580(a,1,1,1,2))]. 9782 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(220,a,6625,a(flip),b,9778,a(flip)),flip(a)]. 9785 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(9782(a,1),3422(a,1,1))]. 9787 L((T(x,y) \ 1) / (x \ 1),x \ 1,z) = K(y,x). [para(16(a,1),9781(a,1,1,1))]. 9789 L(K(x,y),y \ 1,z) = K(x,y). [para(5113(a,1),9787(a,1,1))]. 9791 (x * (y \ K(y,z))) * K(z,y) = x * (y \ 1). [para(9789(a,1),6542(a,1,2))]. 9792 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(506,a,9791,a)]. 9794 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4801(a,2),9792(a,1,1))]. 9795 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9794(a,2),66(a,1,1))]. 9796 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4990(a,1),9795(a,2,2))]. 9797 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(120(a,1),9796(a,1,1,1))]. 9798 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9797(a,1),6760(a,1,1))]. 9799 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4232(a,2),9798(a,1,1,2))]. 9800 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(8747(a,1),9799(a,1,1,2))]. 9801 R(x,y \ 1,K(z,y)) = x. [hyper(272,a,9785,a)]. 9804 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(220,a,4870,a(flip),b,9801,a(flip)),flip(a)]. 9805 R(x,y,K(z,y \ 1)) = x. [hyper(220,a,4432,a(flip),b,9801,a(flip)),flip(a)]. 9806 R(x,y \ z,K(u,z \ y)) = x. [para(6107(a,1),9805(a,1,3))]. 9807 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(9806(a,1),414(a,1,1))]. 9808 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4847(a,1),9804(a,1,2))]. 9809 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(9808(a,1),66(a,1,1))]. 9811 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(220,a,9333,a,b,9809,a(flip)),flip(a)]. 9813 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(9811(a,1),4250(a,1,1)),flip(a)]. 9814 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(66(a,1),9813(a,1,1,2,1)),flip(a)]. 9815 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),T(x,y)) \ 1) \ T(x,y). [para(831(a,2),9814(a,2,1,2)),flip(a)]. 9816 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(9807(a,1),6656(a,1,2))]. 9832 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5464,a,9816,a),flip(a)]. 9833 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,9832,a)]. 9836 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),9833(a,1,2,1))]. 9837 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(5661,a,9836,a),flip(a)]. 9839 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,9836,a)]. 9840 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(9836(a,1),5661(a,1))]. 9842 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(150(a,2),9839(a,1,1,2))]. 9843 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(220,a,9292,a(flip),b,9842,a(flip)),flip(a)]. 9848 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9843(a,1),1896(a,1,1))]. 9849 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),x) \ 1) \ T(x,y). [para(4302(a,1),9815(a,2,1,1))]. 9850 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(2287(a,1),9849(a,2,1))]. 9851 (T(x,y) \ ((1 / y) \ T(x,y))) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(831(a,1),9850(a,1,1,2))]. 9852 (x \ ((1 / y) \ x)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(4363(a,1),9851(a,1,1))]. 9853 (1 / T(x,y)) \ T(y,x) = (1 / x) \ y. [hyper(4047,a,9852,a),flip(a)]. 9854 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [para(9853(a,1),63(a,1,2))]. 9855 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(9842(a,1),9854(a,2,2))]. 9856 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6547(a,1),9855(a,1,1))]. 9857 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5459,a,9600,a)]. 9861 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(7623,a,9857,a)]. 9894 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(220,a,4455,a(flip),b,6987,a)]. 9895 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(220,a,1313,a(flip),b,9894,a)]. 9896 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1733(a,1),9895(a,1,2))]. 9897 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4741,a(flip),b,9896,a)]. 9898 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(387(a,1),7570(a,1,2)),flip(a)]. 9907 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(4818(a,1),9153(a,1,1))]. 9908 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,9907,a),flip(a)]. 9909 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(9907(a,1),597(a,1))]. 9910 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5062(a,1),9908(a,1,2)),flip(a)]. 9912 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9562(a,2,2,2,1,1,2))]. 9913 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9912(a,1,2))]. 9914 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(9913(a,1),9368(a,1,1))]. 9915 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6648,a,9914,a)]. 9916 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9233,a(flip),b,9915,a(flip))]. 9918 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9244,a(flip),b,9916,a(flip)),flip(a)]. 9919 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(9918(a,1),4801(a,2,2)),flip(a)]. 9975 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * K(z \ (x * y),u). [para(2434(a,1),6333(a,2,2))]. 9976 x * (y * (1 / (1 / (y \ ((x \ z) * T((x \ z) \ y,u)))))) = (x * y) * K(z \ (x * y),u). [para(1167(a,1),9975(a,1,2,2,2,2,2))]. 9977 x * (y * (1 / (1 / K((x \ z) \ y,u)))) = (x * y) * K(z \ (x * y),u). [para(6139(a,1),9976(a,1,2,2,2,2))]. 9978 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(2434(a,1),9977(a,1,2,2)),flip(a)]. 9982 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [hyper(388,a,9978,a)]. 9991 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(16(a,1),9982(a,1,1,1,1))]. 9992 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5242(a,1),9982(a,1,1,1,1))]. 9995 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(66(a,1),9991(a,1,1,1)),flip(a)]. 9996 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),9991(a,2,1))]. 10000 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(9991(a,2),7622(a,1))]. 10001 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4026,a,9996,a)]. 10004 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(10001(a,1),4982(a,1,1))]. 10005 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(107(a,2),9995(a,1,1))]. 10006 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(220,a,31,a(flip),b,10005,a)]. 10007 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(220,a,8061,a(flip),b,10005,a(flip))]. 10008 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),10005(a,1,1,2)),flip(a)]. 10010 L(K(x,y),z,K(u,x)) = K(x,y). [para(7268(a,1),10005(a,1,1)),flip(a)]. 10012 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(10010(a,1),103(a,1,2))]. 10013 K(L(x,y,z),z) = K(x,z). [hyper(7290,a,10008,a),flip(a)]. 10014 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(7178,a,10008,a),flip(a)]. 10015 K(L(x,y,x),z) = K(x,z). [hyper(7035,a,10008,a),flip(a)]. 10016 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(220,a,3041,a,b,10008,a)]. 10017 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(220,a,7770,a(flip),b,10008,a(flip))]. 10018 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(220,a,7111,a(flip),b,10008,a(flip))]. 10019 K(L(x,y,z),x \ 1) = K(x,L(x \ 1,u,w)). [hyper(220,a,5857,a(flip),b,10008,a(flip))]. 10022 K(L(x,y,x),z) != u | K(x,z) = u. [para(10008(a,1),7035(a,1))]. 10024 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10008(a,1),7315(a,1,2,2))]. 10025 K(x * K(L(y,z,u),w),y) = K(x,y). [para(10008(a,1),7754(a,1,1,2))]. 10028 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(10013(a,1),8073(a,1,1,2)),flip(a)]. 10030 L(x,y,x) \ L(T(x,z),y,x) = K(x,z). [hyper(220,a,4802,a,b,10015,a(flip)),flip(a)]. 10033 K(L(x,y,z) * u,K(w,x)) = K(w,K(u,x)). [para(10014(a,1),9604(a,1,2)),flip(a)]. 10034 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(220,a,8603,a(flip),b,10018,a(flip))]. 10035 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(8232(a,2),10022(a,1))]. 10036 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(397(a,1),10024(a,1,2))]. 10038 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7368(a,1),10025(a,1,1))]. 10043 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(703(a,1),10035(a,1,1))]. 10046 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10038(a,1),8073(a,1,1,2)),flip(a)]. 10051 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(10030(a,1),17(a,1,2))]. 10055 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(10051(a,1),5839(a,1,1)),flip(a)]. 10058 K(L(x,K(y,z),u),y) = K(x,y). [hyper(220,a,7750,a(flip),b,10017,a)]. 10060 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(217(a,1),10058(a,1,1))]. 10067 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,10028,a)]. 10068 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(400(a,1),10067(a,1,2,2)),flip(a)]. 10072 K(L(x,y,z) * u,K(w,x)) = K(x,K(w,u)). [hyper(220,a,7875,a(flip),b,10033,a)]. 10083 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(7897,a,10072,a)]. 10090 T(K(x,y),L(y,z,u) * w) = K(y,K(x,w)) * K(x,y). [para(10083(a,1),7846(a,1,1)),flip(a)]. 10091 L(K(x,x \ 1),y,z) = K(L(x,u,w),x \ 1). [hyper(220,a,5857,a,b,10019,a),flip(a)]. 10092 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(10043,a,8858,a),flip(a)]. 10094 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(10092(a,1),4801(a,2,2))]. 10095 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(220,a,4801,a,b,10094,a)]. 10096 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10095(a,1),8349(a,1,1,1))]. 10097 L(x,y,z) \ K(L(x,u,w),x \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(71,a,10091,a(flip),b,2348,a)]. 10109 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(10012(a,1),886(a,1,1,2))]. 10110 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(10016(a,2),5019(a,1))]. 10111 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(6206(a,1),10110(a,1,2))]. 10113 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(10055(a,1),5120(a,1,2))]. 10114 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(220,a,7760,a(flip),b,10060,a)]. 10116 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6949(a,1),10114(a,1,1,1)),flip(a)]. 10117 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7232(a,1),10114(a,1,1,1)),flip(a)]. 10118 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8048(a,1),10114(a,1,1,1,2))]. 10120 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(220,a,8855,a(flip),b,10068,a(flip))]. 10121 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),10120(a,1,2,2,2)),flip(a)]. 10143 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(7136,a,10116,a),flip(a)]. 10145 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(8306,a,10118,a),flip(a)]. 10146 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8303,a,10145,a),flip(a)]. 10148 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6663(a,1),10146(a,1,1,2)),flip(a)]. 10156 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10143(a,1),4969(a,2,2,2)),flip(a)]. 10157 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(6530(a,1),10148(a,1,1,2,1))]. 10162 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(421(a,1),10157(a,1,1))]. 10170 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(10006(a,2),396(a,1))]. 10171 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(63(a,1),10170(a,1,1,2))]. 10174 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(220,a,8073,a(flip),b,10046,a)]. 10175 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),10174(a,1,2,2))]. 10176 T(K(x,y),L(y,z,u) * w) != v5 | K(x,T(y,w)) = v5. [para(10090(a,2),8174(a,1))]. 10177 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10176,a,7345,a(flip)),flip(a)]. 10180 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(10036(a,1),10177(a,1,2))]. 10186 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(17(a,1),10180(a,1,2,2,2))]. 10192 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(220,a,7489,a(flip),b,10186,a)]. 10193 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10192(a,1),8043(a,1,1,1)),flip(a)]. 10196 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(411(a,1),10171(a,1,1))]. 10204 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8048(a,1),10007(a,1,1)),flip(a)]. 10206 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(18(a,1),10204(a,1,1,2)),flip(a)]. 10207 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(135(a,1),10204(a,1,1,2)),flip(a)]. 10213 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4828(a,2),10207(a,1,2)),flip(a)]. 10214 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4856(a,1),10207(a,1,2))]. 10215 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8048(a,1),10207(a,1,1))]. 10216 L(K(x,y),K(z,x),u) = K(x,y). [hyper(220,a,8307,a(flip),b,10213,a(flip))]. 10219 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(10216(a,1),212(a,1,2))]. 10221 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5765(a,1),10216(a,1,2))]. 10222 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10221(a,1),103(a,1,2))]. 10223 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(220,a,8061,a(flip),b,10215,a)]. 10225 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(17(a,1),10223(a,1,2)),flip(a)]. 10226 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(220,a,10214,a,b,10225,a(flip)),flip(a)]. 10228 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [hyper(220,a,7233,a(flip),b,10226,a(flip)),flip(a)]. 10233 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(10228(a,1),478(a,1,2))]. 10234 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(220,a,10034,a(flip),b,10175,a(flip))]. 10237 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(19(a,1),10234(a,1,2,2,2)),flip(a)]. 10239 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(220,a,9764,a,b,10237,a(flip)),flip(a)]. 10243 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(10219,a,6671,a(flip)),flip(a)]. 10244 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(2122(a,2),10243(a,2,2))]. 10245 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(10243(a,1),6234(a,1,1))]. 10246 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [para(10243(a,1),6673(a,1,1))]. 10247 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6670,a,10244,a)]. 10249 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(220,a,6671,a(flip),b,10244,a(flip)),flip(a)]. 10250 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(2997(a,1),10244(a,1,1))]. 10251 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(10244(a,1),6673(a,1,1))]. 10259 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7368(a,1),10247(a,1,1))]. 10262 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5685(a,1),10249(a,1,1)),flip(a)]. 10263 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,10246,a,b,10251,a(flip)),flip(a)]. 10267 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(78,a,10263,a)]. 10268 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10263(a,1),272(a,1,1)),flip(b)]. 10272 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(220,a,2122,a,b,10267,a)]. 10280 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(220,a,7420,a(flip),b,10259,a)]. 10281 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(220,a,6524,a(flip),b,10262,a)]. 10282 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7368(a,1),10280(a,1,2))]. 10292 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4970,a,10156,a),flip(a)]. 10294 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(220,a,9101,a,b,10292,a(flip)),flip(a)]. 10298 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(220,a,8988,a(flip),b,9992,a(flip)),flip(a)]. 10299 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(220,a,10117,a(flip),b,10298,a(flip))]. 10305 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8034(a,1),10299(a,1,1,2))]. 10315 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8071(a,1),10305(a,1,1,2))]. 10317 T(T(x,y),z \ T(x,u)) = 1 / (T(x,y) \ K(z \ x,T(x,y))). [para(10315(a,1),4969(a,2,2,2))]. 10336 T(T(x,y),z \ T(x,u)) = T(T(x,y),z \ x). [hyper(220,a,4969,a,b,10317,a)]. 10337 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(10336(a,1),8529(a,1,2))]. 10338 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(10337,a,10121,a),flip(a)]. 10339 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(8540,a,10338,a)]. 10340 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),10339(a,1,2,2)),flip(a)]. 10341 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10340(a,1),8751(a,1,1))]. 10348 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(5985,a,10097,a),flip(a)]. 10349 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(10348(a,1),1302(a,1,1)),flip(a)]. 10350 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(71,a,10349,a(flip),b,2992,a)]. 10351 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(10111,a,10206,a)]. 10353 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(10351(a,1),8404(a,1,1,1,2)),flip(a)]. 10355 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(8034(a,1),10193(a,2,1))]. 10365 R(x,L(K(y,z),u,w),K(z,v5)) = x. [hyper(418,a,10222,a)]. 10367 R(x,K(y,z),K(z,u)) = x. [para(378(a,1),10365(a,1,2))]. 10369 R(x,T(K(y,z),u),K(z,w)) = x. [para(1621(a,1),10367(a,1,2))]. 10371 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(10367(a,1),6160(a,1,1))]. 10372 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5468(a,1),10369(a,1,3))]. 10374 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10372(a,1),754(a,1,1)),flip(a)]. 10375 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10372(a,1),6932(a,1)),flip(a)]. 10378 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(220,a,8622,a(flip),b,10371,a)]. 10379 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(220,a,4123,a(flip),b,10371,a(flip))]. 10380 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(43(a,2),10371(a,1,2,2))]. 10381 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1662(a,1),10371(a,1,2))]. 10384 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(220,a,5969,a,b,10379,a(flip)),flip(a)]. 10386 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(16(a,1),10384(a,1,2,2)),flip(a)]. 10387 x \ R(x,T(y,x),x) = a(x,y,x). [para(155(a,1),10386(a,1,2)),flip(a)]. 10388 x \ R(x,y,x) = a(x,y,x). [para(9277(a,1),10387(a,1,2))]. 10391 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(5972,a,10388,a)]. 10392 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5967,a,10388,a)]. 10393 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5964,a,10388,a)]. 10394 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,7820,a(flip),b,10388,a(flip))]. 10395 x * a(x,y,x) = R(x,y,x). [para(10388(a,1),17(a,1,2))]. 10402 x \ R(x,y,x) != z | a(x,y,x) = z. [para(10395(a,1),209(a,1,2)),flip(b)]. 10414 (x / y) * a(y,z,y) = x / L(y,z,y). [para(10393(a,1),10281(a,1,2))]. 10429 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(7176,a,10394,a)]. 10432 a(x,y,T(x,z)) = a(x,y,x). [hyper(220,a,10388,a(flip),b,10429,a)]. 10433 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10429(a,2),10402(a,1))]. 10434 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10432(a,1),6525(a,1))]. 10435 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),10414(a,1,1)),flip(a)]. 10436 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1935,a,10435,a)]. 10438 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(220,a,7278,a(flip),b,10436,a(flip)),flip(a)]. 10442 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(220,a,10113,a,b,10438,a(flip)),flip(a)]. 10443 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(220,a,9632,a,b,10438,a(flip)),flip(a)]. 10445 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(10438(a,1),4875(a,1,2))]. 10446 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9497(a,1),10438(a,1,2,1))]. 10447 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10438(a,1),9631(a,1,2))]. 10448 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(220,a,7282,a(flip),b,10443,a(flip)),flip(a)]. 10449 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(16(a,1),10443(a,1,2)),flip(a)]. 10454 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [hyper(71,a,10447,a(flip),b,433,a)]. 10455 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,10447,a(flip),b,103,a)]. 10458 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(10448(a,2),22(a,1))]. 10459 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4581(a,1),10448(a,1,2))]. 10460 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(10388(a,2),10448(a,2,2))]. 10461 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10449(a,1),209(a,1,2)),flip(b)]. 10465 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10455(a,1),10461(a,1))]. 10466 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10442(a,1),4857(a,1,2))]. 10477 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(220,a,7702,a(flip),b,10445,a)]. 10478 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10448(a,2),10466(a,1,2))]. 10481 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(20,a,10442,a(flip),b,10446,a(flip))]. 10484 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(220,a,9741,a(flip),b,10478,a(flip)),flip(a)]. 10486 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10484(a,1),9008(a,1,2))]. 10490 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(19(a,1),10239(a,1,2,1)),flip(a)]. 10494 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5996(a,1),10350(a,1,2)),flip(a)]. 10495 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(220,a,4684,a(flip),b,10494,a(flip))]. 10496 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3003,a,10495,a)]. 10502 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(220,a,7400,a(flip),b,10490,a(flip))]. 10503 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(220,a,6107,a(flip),b,10502,a)]. 10505 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(220,a,9095,a(flip),b,10503,a(flip))]. 10506 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(220,a,7107,a,b,10505,a(flip)),flip(a)]. 10508 L(K(x,x \ y),y,z) = K(x,x \ y). [para(16(a,1),10506(a,1,3))]. 10509 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7709,a,10508,a)]. 10514 K(x,L(y,x,z)) = K(x,x \ (x * y)). [hyper(220,a,7104,a(flip),b,10509,a(flip)),flip(a)]. 10516 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10509(a,1),7123(a,1,2))]. 10518 K(x,L(y,x,z)) = K(x,y). [para(16(a,1),10514(a,2,2))]. 10519 K(L(x,y,z),y) = K(x,y). [hyper(6958,a,10518,a)]. 10521 (x * (y * z)) * K(z,y) = x * (z * y). [para(10518(a,1),6949(a,1,2))]. 10522 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(10171,a,10519,a)]. 10525 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10519(a,1),10245(a,1,1,2,1)),flip(a)]. 10526 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10000,a,10522,a)]. 10527 L(K(x \ y,x),y,z) = K(y / x,x). [hyper(220,a,5147,a,b,10522,a)]. 10528 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(10527(a,2),5276(a,1))]. 10531 R(x,y * z,K(z,y)) = x. [hyper(21,a,427,a,b,10521,a(flip)),flip(a)]. 10535 R(x,y,T(z,y)) = R(x,y,z). [hyper(6819,a,10531,a)]. 10548 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(17(a,1),10526(a,1,1,2,2))]. 10550 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(220,a,7249,a(flip),b,10548,a(flip))]. 10552 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(5989(a,1),10550(a,1,1,2,1))]. 10557 T(x,L(y,x,z)) = T(x,y). [hyper(220,a,10245,a(flip),b,10525,a)]. 10561 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(220,a,9192,a(flip),b,10557,a(flip)),flip(a)]. 10564 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(411(a,1),10557(a,1,2))]. 10565 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10557(a,1),6825(a,1,1,2)),flip(a)]. 10567 K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). [para(10561(a,1),6954(a,1,1,2,2)),flip(a)]. 10568 L(x,T(y,x),z) = L(x,y,z). [hyper(220,a,31,a,b,10565,a),flip(a)]. 10571 L(x,y / x,z) = L(x,x \ y,z). [para(120(a,1),10568(a,1,2)),flip(a)]. 10574 K(x,L(y,y \ z,u)) != w | L(K(x,y),z,u) = w. [para(10571(a,1),6596(a,1,2))]. 10577 K(x,L(y,K(y,z) * u,w)) != v5 | L(K(x,y),T(y,z) * u,w) = v5. [para(5061(a,1),10574(a,1,2,2))]. 10592 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(8049(a,1),10341(a,1,1)),flip(a)]. 10659 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(10233,a,8038,a(flip)),flip(a)]. 10660 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7092(a,1),10374(a,1,2)),flip(a)]. 10668 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5022,a,10486,a),flip(a)]. 10669 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(10496(a,1),3650(a,2,1)),flip(a)]. 10683 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(220,a,7221,a(flip),b,10096,a(flip)),flip(a)]. 10684 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(220,a,8901,a,b,10683,a(flip)),flip(a)]. 10685 K(a(x,y,z),x) = 1. [hyper(5930,a,10684,a),flip(a)]. 10688 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,10685,a)]. 10699 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(220,a,43,a,b,10564,a(flip)),flip(a)]. 10700 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(220,a,6954,a(flip),b,10567,a)]. 10701 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7662(a,1),10659(a,1,1))]. 10702 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(u * z) / (u * (y \ z))). [hyper(220,a,9697,a,b,10701,a)]. 10704 L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(10701(a,2),9698(a,1))]. 10706 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(220,a,8751,a(flip),b,10702,a(flip))]. 10708 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(220,a,9585,a,b,10706,a),flip(a)]. 10709 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(220,a,10592,a(flip),b,10706,a)]. 10710 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(220,a,9306,a(flip),b,10706,a)]. 10711 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10706(a,2),9307(a,1))]. 10712 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(220,a,9916,a(flip),b,10710,a(flip)),flip(a)]. 10713 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),10712(a,1,2,2,2)),flip(a)]. 10714 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),10713(a,2,2))]. 10716 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9311,a,10714,a)]. 10717 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10716(a,1),426(a,1,1))]. 10718 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(220,a,6882,a(flip),b,10717,a(flip))]. 10719 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4883(a,1),10718(a,2,1))]. 10720 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(220,a,7171,a(flip),b,10719,a(flip)),flip(a)]. 10722 L(x,K(y,z),z * y) = x. [hyper(679,a,10720,a)]. 10723 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(479,a,10720,a)]. 10730 L(x,K(y \ z,y),z) = x. [para(17(a,1),10722(a,1,3))]. 10731 L(x,K(y,y \ z),z) = x. [para(5148(a,1),10730(a,1,2))]. 10732 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(220,a,6087,a(flip),b,10731,a(flip)),flip(a)]. 10733 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(220,a,9285,a,b,10723,a(flip)),flip(a)]. 10736 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),10732(a,1,2)),flip(a)]. 10737 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10736(a,1),10723(a,1,2)),flip(a)]. 10742 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(8751(a,1),10704(a,1))]. 10743 L(K(x,x \ y),z,y) != u | K(x,(y * z) / (y * ((x \ y) \ z))) = u. [para(10592(a,1),10742(a,1))]. 10750 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10294(a,1),10699(a,1,1))]. 10751 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10561(a,1),10750(a,1,1)),flip(a)]. 10752 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10751(a,1),5081(a,1,2,1))]. 10754 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(220,a,8404,a(flip),b,10353,a)]. 10755 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7368(a,1),10754(a,1,2,2))]. 10756 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(10577,a,10755,a)]. 10757 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10519(a,1),10756(a,1,1))]. 10758 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(220,a,10756,a(flip),b,10757,a(flip))]. 10760 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(795(a,1),10758(a,1,1)),flip(a)]. 10761 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(220,a,7474,a(flip),b,10760,a)]. 10762 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(220,a,580,a(flip),b,10761,a)]. 10764 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(220,a,7474,a(flip),b,10762,a(flip)),flip(a)]. 10765 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9388,a,10764,a)]. 10766 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1938(a,1),10378(a,1,2))]. 10767 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,10766,a),flip(a)]. 10769 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(220,a,8592,a,b,10767,a(flip)),flip(a)]. 10770 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6613(a,1),10767(a,1,2)),flip(a)]. 10772 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(9512(a,1),10770(a,2,2))]. 10773 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(220,a,10767,a(flip),b,10772,a)]. 10775 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6764,a,10773,a)]. 10776 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(43(a,2),10775(a,1,3))]. 10777 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,2240,a(flip),b,10776,a(flip)),flip(a)]. 10778 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(220,a,10777,a(flip),b,10380,a(flip))]. 10788 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(220,a,5216,a(flip),b,10752,a(flip))]. 10789 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10788(a,1),10391(a,1,2)),flip(a)]. 10796 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(10196,a,9584,a)]. 10797 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(597,a,10381,a),flip(a)]. 10799 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(220,a,8755,a(flip),b,10797,a(flip)),flip(a)]. 10801 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7783(a,1),10797(a,1,1))]. 10803 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10797(a,1),7849(a,1,1)),flip(a)]. 10804 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10799(a,1),17(a,1,2))]. 10805 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10799(a,1),3659(a,1,1)),flip(a)]. 10806 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8947(a,2),10799(a,1,2))]. 10807 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10799(a,1),9203(a,1,2)),flip(a)]. 10808 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10804(a,1),209(a,1,2)),flip(b)]. 10809 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4290(a,1),10805(a,2,1))]. 10812 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5212,a,10807,a)]. 10813 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5868,a,10812,a)]. 10814 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10812(a,1),17(a,1,2))]. 10815 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(220,a,9594,a(flip),b,10803,a(flip))]. 10816 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10375,a,10815,a)]. 10817 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10808,a,10806,a)]. 10818 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4326,a(flip),b,10817,a(flip))]. 10819 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4291,a,10818,a)]. 10820 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8947(a,1),10809(a,1,1))]. 10821 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10819(a,1),10820(a,2,1))]. 10822 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(220,a,10805,a(flip),b,10821,a(flip)),flip(a)]. 10825 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7173(a,1),10708(a,1,3)),flip(a)]. 10826 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(220,a,10709,a(flip),b,10825,a(flip))]. 10828 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(220,a,10535,a(flip),b,10826,a(flip)),flip(a)]. 10829 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(10828(a,1),10355(a,1,2))]. 10830 (x * K(y,y \ z)) * z != (x * z) * u | L(K(y,y \ z),x,z) = u. [para(10829(a,1),22(a,1))]. 10831 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7362(a,1),10801(a,1,2)),flip(a)]. 10832 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(220,a,10797,a(flip),b,10831,a)]. 10835 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(288(a,1),10832(a,1,2,2))]. 10838 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(220,a,7809,a(flip),b,10162,a(flip))]. 10840 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(33(a,2),10838(a,1,1))]. 10841 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(220,a,7620,a,b,10840,a(flip)),flip(a)]. 10842 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(220,a,8629,a,b,10841,a(flip)),flip(a)]. 10843 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(220,a,9700,a(flip),b,10842,a(flip)),flip(a)]. 10846 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10843(a,2),8702(a,1))]. 10848 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6873(a,1),10846(a,1))]. 10861 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,10778,a(flip),b,10789,a)]. 10862 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(35(a,2),10789(a,2,2,2))]. 10970 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10796(a,1),10528(a,1))]. 10971 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(10970,a,10700,a)]. 10972 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10552,a(flip),b,10971,a(flip))]. 10974 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10765,a(flip),b,10972,a(flip)),flip(a)]. 10975 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,6440,a(flip),b,10974,a(flip)),flip(a)]. 10976 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7813,a,10975,a)]. 10977 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(220,a,9280,a(flip),b,10976,a)]. 10978 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(54(a,1),10977(a,2,1))]. 10979 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10978(a,1),4934(a,1,1,2))]. 10980 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(10978(a,1),10391(a,1,1))]. 10981 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5486(a,1),10979(a,1,1))]. 10982 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6442(a,1),10981(a,1,1,1,2))]. 10983 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(220,a,43,a,b,10982,a(flip))]. 10984 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5364(a,1),10983(a,2,1))]. 10985 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10984(a,1),393(a,1,2))]. 10989 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(368,a,10985,a),flip(a)]. 10990 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(10985(a,1),212(a,1))]. 10991 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(282,a,10989,a),flip(a)]. 10993 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(220,a,4934,a,b,10991,a),flip(a)]. 11005 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(9570(a,1),10004(a,1,1))]. 11006 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),11005(a,1,2,2)),flip(a)]. 11008 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4812(a,2),11006(a,2,2))]. 11009 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(220,a,4976,a(flip),b,11008,a)]. 11010 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,11009,a)]. 11011 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(11009(a,2),4565(a,1))]. 11012 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11010(a,1,1,3))]. 11040 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5242(a,1),10250(a,1,1,1))]. 11043 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7434(a,1),10862(a,2,2))]. 11044 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2435(a,1),11040(a,1,1,2)),flip(a)]. 11045 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6190(a,1),11044(a,2,1))]. 11046 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(220,a,8400,a,b,11045,a)]. 11047 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2434(a,1),11046(a,1,1,1))]. 11048 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5242(a,1),11047(a,1,1))]. 11049 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(220,a,7959,a,b,11048,a)]. 11050 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2122(a,1),11049(a,1,2))]. 11051 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(72,a,11050,a(flip),b,4815,a)]. 11064 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(6990(a,1),9856(a,1,2))]. 11065 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(220,a,5951,a(flip),b,11064,a(flip)),flip(a)]. 11066 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(220,a,9837,a(flip),b,11065,a)]. 11067 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(11065(a,2),9840(a,1))]. 11068 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(11066(a,1),66(a,1,1))]. 11071 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7959(a,1),11051(a,1,1))]. 11092 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(220,a,6362,a(flip),b,6747,a)]. 11093 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(220,a,10249,a(flip),b,11092,a)]. 11094 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10769(a,1),11093(a,2,2))]. 11095 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6397,a,11094,a)]. 11096 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6744(a,1),11095(a,1,2))]. 11097 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(220,a,6684,a(flip),b,11096,a(flip)),flip(a)]. 11098 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8581(a,1),11097(a,1,2))]. 11099 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(10991(a,1),11098(a,1,2))]. 11100 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10458,a,11099,a),flip(a)]. 11244 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(167(a,1),10109(a,1,1)),flip(a)]. 11250 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4421(a,1),10669(a,1,2))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4739(a,1),11250(a,1,2))]. 11252 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(220,a,9897,a(flip),b,11251,a(flip))]. 11254 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(150(a,1),11252(a,1,2,2,1))]. 11255 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11254(a,1),4378(a,1,2))]. 11256 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(11067,a,11255,a)]. 11257 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11255(a,1),9059(a,2,1))]. 11272 (x * (K(y \ 1,y) * z)) \ (K(y \ 1,y) * (x * (z * u))) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [hyper(220,a,3563,a(flip),b,4679,a(flip)),flip(a)]. 11283 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),7125(a,1,1,2))]. 11298 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(220,a,10813,a(flip),b,9350,a(flip)),flip(a)]. 11299 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(9909,a,11298,a)]. 11302 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9348(a,1),11299(a,2,2,2))]. 11303 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),11302(a,2,2,2,1))]. 11304 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),11303(a,2,2))]. 11306 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(220,a,10799,a(flip),b,11304,a)]. 11307 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(220,a,9910,a(flip),b,11306,a(flip))]. 11308 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11306(a,1),4291(a,1))]. 11310 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9364(a,1),9365(a,2,2,1,1))]. 11311 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(66(a,1),11310(a,2,2,1))]. 11313 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(220,a,3511,a(flip),b,11311,a)]. 11314 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(66(a,1),11313(a,1,1,2,1))]. 11315 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3511(a,1),11314(a,1,1))]. 11316 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6498,a,11315,a)]. 11317 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11316(a,1),4327(a,1,1,1))]. 11318 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,657,a(flip),b,11317,a(flip)),flip(a)]. 11319 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(114(a,1),11318(a,1,1,2))]. 11320 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(27(a,2),11319(a,1,1)),flip(a)]. 11321 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,10688,a(flip),b,11320,a),flip(a)]. 11322 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(27(a,2),11321(a,2,1,1)),flip(a)]. 11323 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5242(a,1),9715(a,1,1,2))]. 11324 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(425(a,1),10454(a,1,2)),flip(a)]. 11325 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(10465,a,11324,a),flip(a)]. 11327 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) = L(u,L(z,K(x \ 1,x),y),y * K(x \ 1,x)). [hyper(4505,a,11272,a)]. 11328 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),11283(a,1,1,2,1))]. 11329 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(6521(a,1),11323(a,1,1))]. 11336 L(x,L(y,K(z \ 1,z),u),u * K(z \ 1,z)) = L(x,K(z \ 1,z) * y,u). [hyper(4693,a,11327,a),flip(a)]. 11337 L(x,K(y \ 1,y) * z,u) = L(x,z,u * K(y \ 1,y)). [para(4678(a,1),11336(a,1,2)),flip(a)]. 11338 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [hyper(220,a,3871,a(flip),b,11337,a)]. 11341 L(x,1 / y,z) = L(x,y \ 1,z). [para(1738(a,1),11338(a,1,2)),flip(a)]. 11348 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(11341(a,1),103(a,1,2))]. 11352 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(66(a,1),11348(a,1,2,2))]. 11354 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(11352(a,1),22(a,1)),flip(a)]. 11368 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11328(a,1,1))]. 11369 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11368(a,1,1,2))]. 11370 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(7103(a,1),11369(a,1,1,2,2))]. 11371 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(6541,a,11370,a),flip(a)]. 11372 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(220,a,7285,a(flip),b,11371,a)]. 11373 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(220,a,7134,a(flip),b,11372,a(flip))]. 11374 K(L(x \ y,z,u) \ (w \ 1),w) = L(K(y \ (w \ x),w),z,u). [hyper(220,a,7687,a(flip),b,11373,a(flip))]. 11375 L(K(1 \ (x \ y),x),T(y,z),u) = K(L(y \ 1,y,u) \ (x \ 1),x). [para(9290(a,1),11374(a,1,1,1)),flip(a)]. 11376 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(1 \ (x \ y),x),y,u). [hyper(220,a,11374,a(flip),b,11375,a)]. 11377 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11376(a,2,1,1))]. 11378 L(K(x \ y,x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11377(a,1,1,1))]. 11379 (x * y) * L(K(z \ x,z),x,y) = y * (T(x,y) * K(z \ x,z)). [para(11378(a,1),395(a,1,2))]. 11380 (x * y) * L(K(z \ x,z),x,y) = y * (K(x,y) * ((z \ x) * z)). [para(5090(a,2),11379(a,2,2))]. 11402 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11012(a,1,2,1))]. 11419 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(11011,a,11402,a),flip(a)]. 11420 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(6935,a,11419,a),flip(a)]. 11421 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(220,a,4724,a,b,11420,a(flip)),flip(a)]. 11422 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(7675(a,1),11421(a,1,1))]. 11423 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(220,a,599,a(flip),b,11422,a(flip)),flip(a)]. 11424 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(11423(a,1),17(a,1,2))]. 11425 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(213,a,11424,a),flip(a)]. 11426 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,10723,a,b,11425,a)]. 11428 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(220,a,10737,a(flip),b,11426,a(flip)),flip(a)]. 11429 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),11426(a,1,2)),flip(a)]. 11430 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,5238,a(flip),b,11428,a)]. 11431 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,10733,a,b,11429,a),flip(a)]. 11434 (x * y) * K(z \ x,z) = x * (y * K(z \ x,z)). [para(11431(a,1),103(a,1,2))]. 11436 L(x,y,K(z,z \ y)) = x. [hyper(5096,a,11430,a)]. 11437 L(x,y * z,K(z,y)) = x. [para(4987(a,1),11436(a,1,3))]. 11438 L(x,T(y,z),z) = L(x,y,z). [hyper(6737,a,11437,a)]. 11446 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11438(a,1),395(a,1,2))]. 11459 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11446,a)]. 11461 (x * y) * L(K(z \ x,z),x,u) = x * (y * K(z \ x,z)). [para(10522(a,2),11434(a,1,2))]. 11481 x * (K(y,x) * ((z \ y) * z)) = y * (x * K(z \ y,z)). [hyper(220,a,11380,a(flip),b,11461,a(flip)),flip(a)]. 11482 K(x,y) * (y * ((z \ x) * z)) = x * (y * K(z \ x,z)). [hyper(5456,a,11481,a)]. 11484 (x * K(y \ z,y)) * z = x * ((y \ z) * y). [hyper(8720,a,11482,a)]. 11485 R(x,K(y \ z,y),z) = x. [hyper(5199,a,11484,a)]. 11487 R(x,K(y,z),z * y) = x. [para(16(a,1),11485(a,1,2,1))]. 11488 R(x,K(y,y \ z),z) = x. [para(5148(a,1),11485(a,1,2))]. 11489 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(220,a,6207,a(flip),b,11487,a(flip)),flip(a)]. 11490 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(11488(a,1),5095(a,1,1)),flip(a)]. 11493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(220,a,218,a(flip),b,11489,a(flip))]. 11496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(11493(a,1),7549(a,1,2))]. 11498 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [hyper(220,a,10516,a,b,11490,a)]. 11501 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(10830,a,11498,a)]. 11502 K(x,(y * z) / (y * ((x \ y) \ z))) = K(x,x \ y). [hyper(10743,a,11501,a)]. 11507 K(x,((y * x) * z) / ((y * x) * (T(y,x) \ z))) = K(x,x \ (y * x)). [para(35(a,2),11502(a,1,2,2,2,1))]. 11512 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,x \ (y * x)). [hyper(220,a,9232,a(flip),b,11507,a(flip)),flip(a)]. 11513 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,y). [hyper(220,a,4987,a(flip),b,11512,a)]. 11514 L(K(x,y),z,y * x) = K(x,y). [hyper(10711,a,11513,a)]. 11517 K(x,R(y,x,z)) = K(x,y). [hyper(220,a,10714,a(flip),b,11514,a(flip)),flip(a)]. 11518 K(R(x,y,z),y) = K(x,y). [hyper(10848,a,11517,a)]. 11520 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(220,a,7686,a,b,11517,a(flip)),flip(a)]. 11521 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(220,a,9264,a(flip),b,11517,a(flip)),flip(a)]. 11525 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(220,a,11518,a,b,11518,a)]. 11535 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11525(a,1),8630(a,1,2)),flip(a)]. 11537 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(11496,a,11521,a)]. 11542 T(x,R(y,x,z)) = T(x,y). [hyper(220,a,9005,a(flip),b,11535,a)]. 11543 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(446(a,1),11542(a,1,2))]. 11544 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11537(a,1),9919(a,1,2))]. 11554 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4804,a,11544,a),flip(a)]. 11576 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(220,a,45,a,b,11543,a(flip)),flip(a)]. 11577 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(220,a,4088,a(flip),b,11576,a)]. 11578 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(220,a,45,a,b,11577,a)]. 11579 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11554(a,1),11578(a,1,1))]. 11580 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),11579(a,1,1,2,2)),flip(a)]. 11581 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(5667,a,11580,a),flip(a)]. 11582 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11580(a,1),5217(a,1,2,1))]. 11583 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(220,a,889,a(flip),b,11581,a(flip)),flip(a)]. 11584 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(16(a,1),11581(a,1,1,2)),flip(a)]. 11588 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5490(a,1),11583(a,2,1))]. 11591 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1329(a,1),11584(a,1,1)),flip(a)]. 11593 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(220,a,167,a(flip),b,11591,a)]. 11594 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(45(a,2),11593(a,2,1))]. 11595 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(220,a,613,a(flip),b,11594,a)]. 11596 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11595(a,1),4837(a,1,1))]. 11597 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,11596,a),flip(a)]. 11598 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7813,a,11597,a)]. 11599 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(220,a,8950,a,b,11598,a)]. 11600 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11599(a,1),10993(a,1,1,2))]. 11603 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5957,a,11582,a),flip(a)]. 11605 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11603(a,1),4938(a,1,1,2))]. 11606 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5480(a,1),11600(a,1,1))]. 11607 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6442(a,1),11606(a,1,1,1,2))]. 11608 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(220,a,45,a,b,11607,a(flip)),flip(a)]. 11609 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5364(a,1),11608(a,1,1)),flip(a)]. 11610 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(220,a,10991,a(flip),b,11609,a(flip)),flip(a)]. 11611 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11609(a,1),11098(a,1,2))]. 11612 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11610(a,1),425(a,1,1)),flip(a)]. 11613 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(220,a,114,a(flip),b,11612,a)]. 11614 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9479(a,1),11613(a,1,1,1)),flip(a)]. 11615 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11613(a,1),11325(a,1,2))]. 11616 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(220,a,7078,a(flip),b,11588,a)]. 11617 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7076(a,1),11616(a,1,1)),flip(a)]. 11618 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11617(a,1),10459(a,1,2))]. 11619 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5480(a,1),11605(a,1,1))]. 11620 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(220,a,45,a,b,11619,a(flip)),flip(a)]. 11621 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4938(a,1),11620(a,1,1)),flip(a)]. 11622 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(220,a,47,a(flip),b,11621,a)]. 11623 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11622(a,1),1076(a,1,1,1)),flip(a)]. 11624 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4589(a,1),11618(a,1,2,1)),flip(a)]. 11625 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(220,a,1076,a(flip),b,11623,a)]. 11626 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(45(a,2),11625(a,2,3))]. 11628 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(11068(a,1),4651(a,1,2,1))]. 11629 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(220,a,9837,a(flip),b,11628,a)]. 11630 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11256(a,1),11629(a,1,1))]. 11631 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(220,a,11257,a,b,11630,a(flip)),flip(a)]. 11632 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6267(a,1),11631(a,1,1))]. 11633 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(220,a,5568,a(flip),b,11632,a(flip))]. 11634 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(220,a,9848,a(flip),b,11633,a(flip)),flip(a)]. 11635 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11634(a,1),66(a,1,1))]. 11636 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11635(a,1),2291(a,1,1))]. 11637 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(118(a,1),11636(a,1,1,1)),flip(a)]. 11640 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10272(a,1),11637(a,1,1,1)),flip(a)]. 11716 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1764(a,1),9800(a,1,1))]. 11717 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(220,a,7095,a(flip),b,11716,a)]. 11719 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11717(a,1),17(a,1,2))]. 11720 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11719(a,1),11329(a,1,1))]. 11721 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(9714(a,1),11720(a,1,2))]. 11722 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1026,a,11721,a)]. 11723 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(220,a,5242,a(flip),b,11722,a)]. 11724 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(220,a,9160,a,b,11723,a(flip)),flip(a)]. 11725 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2931,a,11724,a),flip(a)]. 11726 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(220,a,8064,a(flip),b,11725,a(flip))]. 11728 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10035,a,11726,a),flip(a)]. 11730 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11728(a,1),9555(a,1,1))]. 11731 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5122,a,11730,a)]. 11732 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9479(a,1),11730(a,1,2,2))]. 11733 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11731(a,1),10808(a,1))]. 11734 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10807(a,1),11732(a,1,2))]. 11735 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5265,a,11734,a)]. 11736 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11733,a,11735,a)]. 11738 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11736(a,1),10822(a,1,1)),flip(a)]. 11739 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11738(a,1),11322(a,1,1))]. 11741 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(220,a,11322,a(flip),b,11739,a(flip))]. 11742 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(220,a,7729,a,b,11741,a),flip(a)]. 11743 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6657(a,1),11742(a,1,1,2))]. 11744 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(530(a,1),11743(a,1,1))]. 11745 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(173(a,1),11744(a,1,2)),flip(a)]. 11746 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(220,a,1076,a(flip),b,11745,a)]. 11747 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(45(a,2),11746(a,2,3))]. 11748 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11741,a(flip),b,11747,a(flip)),flip(a)]. 11749 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11736,a(flip),b,11748,a(flip)),flip(a)]. 11751 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(220,a,11307,a(flip),b,11749,a(flip))]. 11753 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(220,a,11626,a,b,11751,a(flip)),flip(a)]. 11754 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10433,a,11753,a)]. 11756 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11754(a,1),11624(a,1,2)),flip(a)]. 11757 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),11756(a,2,2,2))]. 11758 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10835(a,1),11757(a,2,2))]. 11759 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(220,a,11611,a(flip),b,11758,a(flip)),flip(a)]. 11760 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(378(a,1),11759(a,1,2,3))]. 11761 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(282,a,11760,a),flip(a)]. 11765 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(220,a,10460,a(flip),b,9898,a(flip)),flip(a)]. 11766 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(9375,a,11765,a(flip)),flip(a)]. 11767 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(10388(a,1),11766(a,1,2))]. 11768 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(19(a,1),11767(a,1,1,2))]. 11952 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),9182(a,1,2,1))]. 11953 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),11952(a,1,2,2,1,1))]. 11954 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(742(a,1),11953(a,1,2))]. 11955 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9216(a,1),11954(a,1,2))]. 11956 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(220,a,5043,a(flip),b,11955,a(flip))]. 11958 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3041(a,1),11956(a,2,1))]. 11959 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6047(a,1),11958(a,1,1))]. 11961 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),11959(a,1,2))]. 11963 L(x,K(y,z),K(u,y)) = x. [hyper(388,a,11961,a)]. 11965 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(72,a,11961,a(flip),b,4815,a)]. 11966 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2122(a,2),11961(a,1,1))]. 11967 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(10392(a,1),11961(a,1,1)),flip(a)]. 11970 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(11963(a,1),11244(a,2,1))]. 11971 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(5249,a,11967,a)]. 11975 a(x,y,x) * z = z * a(x,y,x). [hyper(20,a,10477,a,b,11971,a)]. 11982 T(x,a(y,z,y)) = x. [hyper(162,a,11975,a)]. 11983 T(a(x,y,x),z) = a(x,y,x). [hyper(160,a,11975,a,b,xx)]. 11992 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(11975(a,1),537(a,1,2,1))]. 11997 K(x,a(y,z,y)) = 1. [hyper(39,a,11982,a)]. 12006 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(11983(a,1),173(a,1,2,1)),flip(a)]. 12029 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(220,a,9624,a,b,11966,a)]. 12030 T(x,R(a(y,z,y),u,w)) = x. [hyper(162,a,12006,a)]. 12032 L(x,K(y,z),K(z,u)) = x. [hyper(388,a,12029,a)]. 12033 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(160,a,12029,a,b,17,a),flip(a)]. 12037 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(12029(a,1),11640(a,1,1,1))]. 12039 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(220,a,5838,a(flip),b,12032,a(flip)),flip(a)]. 12040 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7352(a,1),12032(a,1,2))]. 12042 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12040(a,1),103(a,1,2))]. 12090 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(220,a,9624,a(flip),b,12039,a)]. 12108 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(220,a,10660,a(flip),b,12033,a(flip)),flip(a)]. 12109 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5238(a,1),12033(a,1,2,2)),flip(a)]. 12115 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(220,a,10816,a(flip),b,12108,a(flip))]. 12124 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(11983(a,1),11992(a,2,1))]. 12126 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10449(a,1),12124(a,1,2,1))]. 12140 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(220,a,11615,a(flip),b,12126,a(flip))]. 12141 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(220,a,11761,a(flip),b,12140,a)]. 12142 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),12141(a,1,2)),flip(a)]. 12143 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12142(a,1),10804(a,1,2)),flip(a)]. 12144 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12142(a,1),10814(a,1,2)),flip(a)]. 12145 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(220,a,9479,a(flip),b,12143,a(flip))]. 12149 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(12039(a,1),12037(a,2,1))]. 12151 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(15(a,1),12149(a,2,1,2))]. 12152 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(9624(a,1),12151(a,1,1,1))]. 12153 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(220,a,7959,a,b,11970,a)]. 12157 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(220,a,10367,a(flip),b,12153,a(flip))]. 12160 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12157(a,2,2))]. 12161 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12157(a,1),8843(a,1,1))]. 12164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5356,a,12160,a)]. 12168 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(220,a,12160,a(flip),b,12164,a(flip))]. 12169 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(220,a,4824,a(flip),b,12168,a)]. 12170 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12168(a,1),4866(a,1))]. 12171 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12168(a,1),7329(a,1,2))]. 12176 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4909,a,12161,a),flip(a)]. 12189 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10268,a,11965,a)]. 12197 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10481(a,1),12145(a,1,2,1)),flip(a)]. 12198 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(220,a,12144,a,b,12197,a)]. 12200 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12198(a,1),11614(a,2,1,1))]. 12201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(220,a,11048,a(flip),b,12189,a(flip)),flip(a)]. 12202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7963(a,1),12201(a,1,1)),flip(a)]. 12203 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(220,a,12160,a(flip),b,12202,a)]. 12204 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12170,a,12203,a(flip)),flip(a)]. 12205 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12203(a,1,2,1))]. 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(220,a,12176,a,b,12204,a(flip)),flip(a)]. 12207 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2122(a,2),12204(a,1,1))]. 12208 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2122(a,1),12207(a,2,2))]. 12209 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4801,a(flip),b,12205,a)]. 12210 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12205(a,1),12169(a,1,1))]. 12212 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(220,a,12208,a(flip),b,12209,a(flip))]. 12213 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12209(a,1),4801(a,2,2)),flip(a)]. 12216 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(220,a,9636,a,b,12206,a(flip)),flip(a)]. 12217 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12206(a,2),4968(a,2,2)),flip(a)]. 12218 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8171(a,1),12206(a,1,1))]. 12222 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4817,a,12213,a)]. 12223 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11048(a,1),12222(a,1,1))]. 12224 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7873(a,1),12216(a,1,2,2,2))]. 12225 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8171(a,1),12218(a,1,2)),flip(a)]. 12226 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(220,a,12206,a(flip),b,12225,a)]. 12229 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7232(a,1),12226(a,1,1)),flip(a)]. 12230 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(220,a,12212,a(flip),b,12229,a(flip)),flip(a)]. 12232 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12230(a,1),11071(a,2,2))]. 12236 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5391,a,12224,a)]. 12284 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(220,a,11961,a(flip),b,12232,a)]. 12345 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4987(a,1),10980(a,1,2)),flip(a)]. 12374 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12090(a,1),12217(a,2,1,1))]. 12378 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(220,a,12152,a(flip),b,12374,a)]. 12379 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12378(a,1,2,1,1))]. 12380 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12379(a,1,2,1))]. 12381 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7893(a,1),12380(a,1,2,1))]. 12383 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12381(a,1,2,2,1))]. 12384 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12383(a,1,2,2))]. 12386 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12236(a,1),12384(a,1,2))]. 12387 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(220,a,12090,a(flip),b,12386,a(flip)),flip(a)]. 12388 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(220,a,12284,a,b,12387,a(flip)),flip(a)]. 12389 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12223,a(flip),b,12388,a(flip)),flip(a)]. 12513 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12090(a,1),12171(a,1,2,1,1))]. 12514 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11048(a,1),12513(a,1,2,1))]. 12515 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7963(a,1),12514(a,1,2,1,1))]. 12516 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12164(a,1),12515(a,1,2,1))]. 12517 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12210(a,1),12516(a,1,2)),flip(a)]. 12518 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12222,a(flip),b,12517,a)]. 12519 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12090(a,1),12518(a,1,2))]. 12520 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12389,a(flip),b,12519,a(flip)),flip(a)]. 12521 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(220,a,12109,a(flip),b,12520,a(flip)),flip(a)]. 12522 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(220,a,10282,a(flip),b,12521,a(flip)),flip(a)]. 12523 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12522(a,1),12042(a,1,1)),flip(a)]. 12524 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(220,a,9861,a(flip),b,12523,a(flip))]. 12525 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12115(a,1),12524(a,1,1)),flip(a)]. 12527 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12525(a,1),12200(a,2,1))]. 12528 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12142(a,1),12527(a,2,1,1))]. 12530 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7071(a,1),12528(a,1,1,1))]. 12532 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10668(a,1),12530(a,1,1))]. 12533 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10442(a,1),12532(a,1,1)),flip(a)]. 12534 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12533,a(flip),b,598,a)]. 12536 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(220,a,11520,a(flip),b,12534,a(flip))]. 12537 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(11983(a,1),12536(a,2,2))]. 12538 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(220,a,11997,a(flip),b,12537,a)]. 12541 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,12538,a)]. 12542 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12541(a,1),11459(a,1,2))]. 12543 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12030(a,1),12542(a,1,1,2,1))]. 12544 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(430,a,12543,a),flip(a)]. 12545 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,11975,a(flip),b,12544,a)]. 12548 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(220,a,12141,a(flip),b,12545,a(flip)),flip(a)]. 12564 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(220,a,11100,a,b,12548,a)]. 12567 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11308,a,12564,a),flip(a)]. 12585 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(35(a,1),12567(a,1,2))]. 12590 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,10861,a,b,12585,a(flip)),flip(a)]. 12618 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(220,a,11043,a(flip),b,12590,a(flip))]. 12619 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,12345,a,b,12618,a),flip(a)]. 12721 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(35(a,2),12619(a,1,2))]. 12722 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10434,a,12721,a)]. 12723 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12722(a,1),11768(a,1,2))]. 12724 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12564(a,1),12723(a,1,2))]. 12726 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(10990,a,12724,a(flip)),flip(a)]. 12727 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(10448(a,1),12726(a,2,2))]. 12730 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(378(a,1),12727(a,1,2,3))]. 12731 L(a(x,y,x),z,u) = a(x,y,x). [hyper(11354,a,12730,a)]. 12741 a(x,y,a(z,u,z)) = 1. [hyper(37,a,12731,a)]. 12742 $F # answer("aa3{x3/x5}"). [resolve(12741,a,53,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 3 at 3152.51 (+ 87.28) seconds: "aa2{x2/x4}". % Length of proof is 5751. % Level of proof is 384. % Maximum clause weight is 513.000 (53 w/o degradation). % Given clauses 11627 (30.279 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 12 a(x,a(y,z,y),u) = 1 # label("aa2{x2/x4}") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 52 a(c9,a(c10,c11,c10),c12) != 1 # label("aa2{x2/x4}") # answer("aa2{x2/x4}"). [deny(12)]. 54 1 \ x = x. [para(14(a,1),16(a,1,2))]. 55 x \ x = 1. [para(15(a,1),16(a,1,2))]. 56 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 57 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 58 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 59 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 60 x / x = 1. [para(14(a,1),18(a,1,1))]. 61 x / 1 = x. [para(15(a,1),18(a,1,1))]. 62 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 63 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 64 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 65 x * ((1 / y) * y) = x. [para(19(a,2),15(a,1,2))]. 66 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 67 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 68 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 71 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 72 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 73 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 76 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 78 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 79 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 80 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 81 ((x * y) / z) * z != x * u | u = y. [para(19(a,2),22(a,2)),flip(a)]. 82 1 * (x * y) != z * y | z = x. [para(14(a,2),23(a,2)),flip(a)]. 83 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 84 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 85 x \ (x * (y * z)) != u * z | u = y. [para(16(a,2),23(a,2)),flip(a)]. 86 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 87 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 88 ((x * y) / z) * z != u * y | u = x. [para(19(a,2),23(a,2)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * y) \ ((x * 1) * y) = a(x,1,y). [para(14(a,1),27(a,2,1,2)),flip(a)]. 93 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(15(a,1),27(a,2,1,2)),flip(a)]. 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 96 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 98 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 99 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 100 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 101 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 102 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(19(a,1),31(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 109 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 110 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 112 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 113 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 114 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 115 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 117 T(x,x) = x. [para(35(a,2),16(a,1))]. 118 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 119 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 120 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 122 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 124 (x * (x \ 1)) \ y = y. [para(17(a,2),54(a,1,1))]. 125 ((1 / x) * x) \ y = y. [para(19(a,2),54(a,1,1))]. 126 T(x,1) = x * 1. [para(54(a,1),35(a,2))]. 128 x / (y * (y \ 1)) = x. [para(17(a,2),61(a,1,2))]. 129 x / ((1 / y) * y) = x. [para(19(a,2),61(a,1,2))]. 130 T(T(x,y),x) = T(x,y). [para(117(a,1),41(a,1,1)),flip(a)]. 131 T(L(x,y,z),x) = L(x,y,z). [para(117(a,1),43(a,1,1)),flip(a)]. 134 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),63(a,1,2))]. 135 (x * y) / T(x,y) = y. [para(35(a,2),63(a,1,2))]. 136 x / (y / ((z \ x) \ y)) = z. [para(63(a,2),63(a,1,2))]. 137 ((x / y) \ x) * z = y * z. [hyper(25,a,66,a)]. 138 x * ((y / (x \ z)) \ y) = z. [para(66(a,2),17(a,1,2))]. 139 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),66(a,1,1))]. 140 ((x / (y / z)) \ x) \ y = z. [para(66(a,2),66(a,1,1))]. 141 T(x,1) = x. [hyper(21,a,15,a,b,126,a(flip)),flip(a)]. 142 K(x,1) = 1. [hyper(39,a,141,a)]. 143 T(1,x) = 1. [hyper(38,a,141,a)]. 146 T(x,1) != y | y = x. [para(126(a,2),83(a,1))]. 147 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),84(a,1,2))]. 148 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(57(a,1),33(a,2,1))]. 149 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(58(a,1),27(a,2,1)),flip(a)]. 150 L(x \ 1,x,y) = (y * x) \ y. [para(58(a,1),31(a,2,2))]. 151 R(1 / x,x,y) = y / (x * y). [para(64(a,1),33(a,2,1))]. 152 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(65(a,1),27(a,2,1)),flip(a)]. 153 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(65(a,1),31(a,2,2))]. 154 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,118,a)]. 155 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,118,a(flip)),flip(a)]. 156 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,118,a(flip)),flip(a)]. 157 (x \ y) * T(x,x \ y) = y. [para(118(a,2),17(a,1))]. 158 x * (y * (y \ T(z,x))) = z * x. [para(17(a,2),118(a,1,2))]. 159 x * T(y / x,x) = y. [para(118(a,2),19(a,1))]. 160 x * y != z | y * u != z | T(x,y) = u. [para(118(a,1),20(a,1)),flip(c)]. 161 x * y != z * x | T(z,x) = y. [para(118(a,1),22(a,1)),flip(a)]. 162 x * T(y,x) != z * x | z = y. [para(118(a,2),23(a,2)),flip(a)]. 163 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(118(a,1),27(a,2,1,2)),flip(a)]. 164 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(118(a,1),27(a,2,2,1)),flip(a)]. 165 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(118(a,1),29(a,2,1)),flip(a)]. 166 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(118(a,1),31(a,2,1)),flip(a)]. 167 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(118(a,1),31(a,2,2,2)),flip(a)]. 169 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(118(a,1),33(a,2,1)),flip(a)]. 170 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(118(a,1),33(a,2,2)),flip(a)]. 171 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),118(a,1,2))]. 172 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),118(a,1,2))]. 173 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),118(a,1,2))]. 174 x / 1 = 1 \ x. [hyper(146,a,120,a),flip(a)]. 175 T(T(x / y,z),y) = T(y \ x,z). [para(120(a,1),41(a,1,1)),flip(a)]. 176 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(120(a,1),43(a,1,1)),flip(a)]. 177 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(120(a,1),45(a,1,1)),flip(a)]. 178 T(x / (x / y),x / y) = y. [para(120(a,2),66(a,1))]. 179 K(x \ 1,x) = (x \ 1) * x. [para(124(a,1),29(a,2))]. 180 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(124(a,1),31(a,2)),flip(a)]. 182 K(x,1 / x) = x * (1 / x). [para(125(a,1),29(a,2))]. 183 (1 / x) * (x * y) = L(y,x,1 / x). [para(125(a,1),31(a,2)),flip(a)]. 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(128(a,1),33(a,2)),flip(a)]. 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(129(a,1),33(a,2)),flip(a)]. 186 T(x,T(x,y)) = x. [hyper(38,a,130,a)]. 187 T(T(T(x,y),z),x) = T(T(x,y),z). [para(130(a,1),41(a,1,1)),flip(a)]. 188 T(x,y) * x = x * T(x,y). [para(130(a,1),118(a,1,2)),flip(a)]. 189 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),41(a,1,1)),flip(a)]. 191 x / T(y,y \ x) = y \ x. [para(17(a,1),135(a,1,1))]. 192 (T(x,y) * z) / T(T(x,z),y) = z. [para(41(a,1),135(a,1,2))]. 193 (x * y) / T(y,T(x,y)) = T(x,y). [para(118(a,1),135(a,1,1))]. 194 T(T((x * y) / x,z),x) = T(y,z). [para(154(a,1),41(a,1,1)),flip(a)]. 195 T((x * y) / x,y) = (x * y) / x. [para(154(a,1),186(a,1,2))]. 196 x * y != z | T(z / x,x) = y. [para(159(a,1),22(a,1)),flip(a)]. 198 x != y | y / 1 = x. [para(15(a,1),87(a,1))]. 199 (x / y) \ x = y / 1. [hyper(198,a,66,a),flip(a)]. 200 x * (x \ y) = y / 1. [hyper(198,a,17,a),flip(a)]. 201 x / 1 = 1 * x. [hyper(198,a,14,a)]. 202 x / 1 != y | y = x. [para(201(a,2),73(a,1))]. 204 x / (y * (y \ 1)) != z | z = x. [para(17(a,2),202(a,1,2))]. 205 1 \ x != y | y = x. [para(174(a,1),202(a,1))]. 207 (x / y) \ x != z | z = y. [para(199(a,2),202(a,1))]. 208 x * (x \ y) != z | z = y. [para(200(a,2),202(a,1))]. 209 x \ (x * y) != z | z = y. [para(18(a,1),207(a,1,1))]. 210 x \ x != y | 1 = y. [para(61(a,1),207(a,1,1)),flip(b)]. 211 x \ (y * x) != z | T(y,x) = z. [para(135(a,1),207(a,1,1)),flip(b)]. 212 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),208(a,1,2)),flip(b)]. 213 x * T(y,x) != z | y * x = z. [para(35(a,2),208(a,1,2)),flip(b)]. 214 (x / y) * y != z | z = x. [para(66(a,1),208(a,1,2))]. 216 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),214(a,1,1)),flip(b)]. 217 L(x \ (y \ z),x,y) = (y * x) \ z. [para(59(a,1),31(a,2,2))]. 218 ((x / y) * y) / z = x / z. [para(19(a,1),68(a,1,1,1,1))]. 219 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),33(a,2,1))]. 220 x != y | z != y | z = x. [para(14(a,1),70(b,1))]. 221 (x * y) / y = z / (x \ z). [hyper(220,a,63,a,b,18,a)]. 223 (x * y) / y = (x / z) * z. [hyper(220,a,19,a,b,18,a)]. 224 x * (x \ y) = y * 1. [hyper(220,a,17,a,b,15,a),flip(a)]. 225 x \ (y * (y \ x)) = 1. [hyper(78,a,224,a(flip))]. 226 x * 1 != y * z | y \ x = z. [para(224(a,1),22(a,1))]. 229 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(220,a,17,a,b,89,a),flip(a)]. 230 (x / (y * (y \ z))) * z = x. [hyper(214,a,89,a)]. 232 (x * (x \ y)) * z != y * u | u = z. [para(91(a,1),22(a,1)),flip(a)]. 233 ((x \ y) * x) * K(x,x \ y) = y. [hyper(220,a,17,a(flip),b,98,a)]. 234 x * K(y \ x,y) = (y \ x) * y. [hyper(220,a,91,a(flip),b,98,a(flip)),flip(a)]. 235 x * K(y,x / y) = y * (x / y). [hyper(220,a,90,a(flip),b,98,a(flip)),flip(a)]. 236 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),22(a,1)),flip(a)]. 237 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),31(a,2,2,2)),flip(a)]. 238 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),33(a,2,1)),flip(a)]. 239 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),209(a,1,2)),flip(b)]. 240 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,119,a)]. 241 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,119,a)]. 242 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(220,a,17,a,b,119,a(flip))]. 243 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(119(a,1),41(a,1,1)),flip(a)]. 246 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(119(a,2),119(a,1,2))]. 248 T(x,L(x,y,z)) = x. [hyper(38,a,131,a)]. 250 ((x / y) \ x) * (y \ z) = z. [hyper(220,a,17,a(flip),b,137,a)]. 251 x * (((y / x) \ y) \ z) = z. [hyper(208,a,137,a)]. 252 (x / y) * ((z / y) \ z) = x. [para(66(a,1),138(a,1,2,1,2))]. 253 (x \ y) * z != y | T(x,x \ y) = z. [para(157(a,1),22(a,1)),flip(a)]. 254 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(157(a,1),31(a,2,2,2))]. 255 (x \ y) \ y != z | T(x,x \ y) = z. [para(157(a,1),209(a,1,2)),flip(b)]. 256 T(x / (x / y),(z / (x / y)) \ z) = y. [para(66(a,2),178(a,1,2))]. 257 x * T(x \ 1,x) = K(x \ 1,x). [hyper(220,a,118,a,b,179,a),flip(a)]. 258 K(x \ 1,x) / x = x \ 1. [hyper(87,a,179,a(flip))]. 259 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,179,a(flip))]. 263 x \ K(x,1 / x) = 1 / x. [hyper(78,a,182,a(flip))]. 264 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(182(a,2),31(a,2,1)),flip(a)]. 266 x / (y \ ((x / z) * z)) = y. [hyper(220,a,63,a(flip),b,218,a(flip))]. 267 (((x / y) * y) / z) \ x = z. [para(218(a,2),66(a,1,1))]. 269 (x / (y \ x)) * z != u | y * z = u. [para(221(a,1),214(a,1,1)),flip(b)]. 270 (x * y) / y != z * u | x / u = z. [para(223(a,2),23(a,1))]. 271 ((x / y) * y) * z != u | x * z = u. [para(223(a,1),214(a,1,1)),flip(b)]. 272 (x * y) / y != z | z = x. [para(223(a,2),214(a,1))]. 273 x / x != y | 1 = y. [para(14(a,1),272(a,1,1)),flip(b)]. 274 x / (y \ x) != z | z = y. [para(17(a,1),272(a,1,1))]. 275 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),230(a,1,1))]. 276 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(191(a,1),250(a,1,1,1))]. 277 x * ((y / z) \ y) != u | u / z = x. [para(252(a,1),23(a,1)),flip(a)]. 279 (x \ 1) * x != y | K(x \ 1,x) = y. [para(258(a,1),214(a,1,1)),flip(b)]. 281 ((x * (x \ y)) / z) \ y = z. [para(63(a,1),267(a,1,1,1,1))]. 282 x * y != x * z | z = y. [para(15(a,1),76(a,1))]. 283 1 * x != y * z | x / z = y. [para(19(a,1),82(a,1,2)),flip(b)]. 284 R(1,x,y) = 1. [hyper(273,a,109,a),flip(a)]. 287 (x * y) / y = R(x,1,y). [para(15(a,1),110(a,1,1,1))]. 288 R(x,1,y) = x. [hyper(272,a,287,a)]. 294 L(x \ 1,x,1 / x) = 1 / x. [hyper(220,a,125,a(flip),b,150,a)]. 295 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(25,a,150,a)]. 296 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(24,a,150,a)]. 297 (x * y) * L(y \ 1,y,x) = x. [para(150(a,2),17(a,1,2))]. 298 L((x \ y) \ 1,x \ y,x) = y \ x. [para(17(a,1),150(a,2,1))]. 299 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),150(a,2,1))]. 300 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(150(a,1),43(a,2,1)),flip(a)]. 301 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(150(a,1),48(a,1,1)),flip(a)]. 302 x / L(y \ 1,y,x) = x * y. [para(150(a,2),63(a,1,2))]. 303 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),151(a,2,2))]. 304 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),151(a,2,2))]. 305 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(151(a,1),45(a,2,1)),flip(a)]. 306 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(151(a,1),49(a,1,1)),flip(a)]. 307 R(1 / x,x,y) \ y = x * y. [para(151(a,2),66(a,1,1))]. 312 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(41(a,1),162(a,1,2)),flip(b)]. 314 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),213(a,1,2))]. 315 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),213(a,1,2))]. 316 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),213(a,1,2))]. 317 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),226(a,1,2))]. 318 x * (x \ y) != z * u | z \ y = u. [para(224(a,2),226(a,1))]. 320 ((1 / x) * x) * y != z * u | y / u = z. [para(19(a,2),283(a,1,1))]. 321 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(297(a,1),31(a,2,2,2))]. 322 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(297(a,1),209(a,1,2)),flip(b)]. 323 x / L(y,1 / y,x) = x * (1 / y). [para(66(a,1),302(a,1,2,1))]. 325 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(302(a,1),251(a,1,2,1,1))]. 326 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(63(a,1),307(a,1,1,1))]. 327 x / (y * x) != z | R(1 / y,y,x) = z. [para(307(a,1),274(a,1,2)),flip(b)]. 328 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,119,a,b,17,a)]. 330 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,31,a,b,125,a(flip))]. 331 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,31,a,b,124,a(flip))]. 333 (x * (x \ y)) \ z = y \ z. [hyper(71,a,17,a(flip),b,91,a)]. 334 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,33,a,b,128,a(flip))]. 335 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(16(a,1),99(a,2,1)),flip(a)]. 337 x * K(y \ x,y) != z | (y \ x) * y = z. [para(99(a,1),208(a,1,2)),flip(b)]. 339 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(179(a,2),100(a,1,1))]. 340 K(x,1 / x) != y | x * (1 / x) = y. [para(101(a,1),205(a,1)),flip(b)]. 341 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(158(a,1),31(a,2,2))]. 342 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),171(a,1,2,1))]. 344 T(x / y,z) * y = y * T(y \ x,z). [para(120(a,1),171(a,1,2,1)),flip(a)]. 345 T((x * y) / x,z) * x = x * T(y,z). [para(154(a,1),171(a,1,2,1)),flip(a)]. 346 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(119(a,1),171(a,1,2,1))]. 347 T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z). [para(119(a,1),171(a,1,2)),flip(a)]. 349 (x * T(x \ y,z)) / x = T(y / x,z). [para(175(a,1),155(a,1,1,2))]. 351 T(x,T(T(x,y),z)) = x. [hyper(38,a,187,a)]. 353 T((x * y) / x,T(y,z)) = (x * y) / x. [para(154(a,1),351(a,1,2,1))]. 354 (x * T(y,z)) / x = T((x * y) / x,z). [para(194(a,1),155(a,1,1,2))]. 356 T(x,(y * x) / y) = x. [hyper(38,a,195,a)]. 357 K(x \ 1,x) * K(x,x \ 1) = 1. [para(179(a,2),233(a,1,1))]. 358 (x \ y) * x != y * z | K(x \ y,x) = z. [para(234(a,1),22(a,1))]. 359 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(234(a,1),209(a,1,2)),flip(b)]. 361 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(235(a,1),209(a,1,2)),flip(b)]. 364 1 / K(x,x \ 1) = K(x \ 1,x). [para(339(a,1),63(a,1,2))]. 368 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),79(a,1,2)),flip(b)]. 371 (x / y) * y != z * u | z \ x = u. [para(17(a,1),81(a,1,1,1)),flip(b)]. 372 x \ (x * y) != z * u | y / u = z. [para(19(a,1),85(a,1,2,2)),flip(b)]. 373 (x / y) * y != z * u | x / u = z. [para(19(a,1),88(a,1,1,1)),flip(b)]. 374 R(x,y,z) * (y * z) != u * z | x * y = u. [para(33(a,2),88(a,1,1)),flip(b)]. 375 (x * y) \ (x * y) = a(x,1,y). [para(15(a,1),92(a,1,2,1))]. 376 a(x,1,y) = 1. [hyper(210,a,375,a),flip(a)]. 378 L(x,1,y) = x. [hyper(36,a,376,a)]. 379 a(x,y,1) = 1. [hyper(209,a,93,a)]. 381 L(1,x,y) = 1. [hyper(36,a,379,a)]. 382 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,89,a(flip),b,103,a)]. 383 L(x \ T(y * x,y),x,y) = y. [hyper(20,a,158,a(flip),b,103,a)]. 384 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(220,a,91,a(flip),b,103,a(flip)),flip(a)]. 385 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(220,a,90,a(flip),b,103,a(flip)),flip(a)]. 387 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(71,a,103,a(flip),b,118,a)]. 388 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),22(a,1)),flip(a)]. 389 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),31(a,2,1)),flip(a)]. 390 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),31(a,2,2,2)),flip(a)]. 392 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),103(a,1,2))]. 393 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),103(a,1,2))]. 394 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),103(a,1,2))]. 395 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(118(a,1),103(a,1,1))]. 396 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),209(a,1,2)),flip(b)]. 397 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(103(a,1),98(a,1,1))]. 398 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(179(a,2),103(a,1,1))]. 400 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(220,a,333,a(flip),b,105,a)]. 401 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(220,a,125,a(flip),b,105,a)]. 402 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(220,a,124,a(flip),b,105,a)]. 403 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(220,a,101,a(flip),b,105,a)]. 404 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),105(a,2,1))]. 407 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),43(a,2,1)),flip(a)]. 408 R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x). [para(105(a,1),47(a,1,1))]. 409 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(118(a,1),105(a,2,1))]. 411 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 414 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,91,a(flip),b,114,a)]. 417 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),114(a,1,2))]. 418 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(114(a,1),23(a,1))]. 421 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(114(a,1),33(a,2,1,1)),flip(a)]. 423 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),114(a,1,1))]. 424 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),114(a,1,1))]. 425 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),114(a,1,1))]. 426 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(118(a,1),114(a,1,2))]. 427 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),114(a,1,2))]. 428 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(179(a,2),114(a,1,2))]. 429 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(114(a,1),272(a,1,1)),flip(b)]. 430 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(114(a,2),272(a,1,1)),flip(b)]. 431 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(114(a,1),147(a,1))]. 433 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(114(a,1),103(a,1,1))]. 434 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(114(a,1),114(a,1,2))]. 435 R(x / (1 / y),1 / y,y) = x * y. [hyper(220,a,129,a(flip),b,115,a)]. 436 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(220,a,128,a(flip),b,115,a)]. 437 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),115(a,2,1))]. 438 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(17(a,1),115(a,2,2))]. 439 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),115(a,2,2))]. 440 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(115(a,1),45(a,2,1)),flip(a)]. 441 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(115(a,2),120(a,1,1))]. 442 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(188(a,1),115(a,2,2))]. 443 R(x / y,y,x \ z) \ z = y * (x \ z). [para(115(a,2),281(a,1,1))]. 445 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(114(a,1),115(a,2,1))]. 446 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(114(a,1),115(a,2,2))]. 448 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),134(a,1,1,2))]. 449 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(118(a,1),134(a,1,1,2))]. 451 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(118(a,1),139(a,1,2,1))]. 452 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),139(a,1,2,1))]. 454 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),139(a,1,2,1))]. 455 K(x,1 / x) \ x = L(x,1 / x,x). [para(182(a,2),153(a,2,1)),flip(a)]. 456 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,48,a,b,180,a)]. 457 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,43,a(flip),b,180,a)]. 459 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(118(a,1),180(a,1,2)),flip(a)]. 460 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,48,a,b,183,a)]. 461 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(118(a,1),183(a,1,2)),flip(a)]. 462 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(183(a,1),209(a,1,2)),flip(b)]. 463 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,45,a(flip),b,184,a)]. 464 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(71,a,184,a(flip),b,118,a)]. 469 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,49,a,b,185,a)]. 470 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,47,a(flip),b,185,a)]. 471 K(x,1 / x) * x = R(x,1 / x,x). [para(182(a,2),185(a,1,1))]. 472 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(217(a,1),43(a,2,1))]. 474 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(103(a,1),232(a,1)),flip(b)]. 476 x * 1 != y * z | x / z = y. [para(61(a,1),270(a,1))]. 478 x * (x \ y) != z * u | y / u = z. [para(224(a,2),476(a,1))]. 479 (x * (x \ y)) * z != u | y * z = u. [para(63(a,1),271(a,1,1,1))]. 480 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(298(a,1),248(a,1,2))]. 481 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(299(a,1),43(a,2,1)),flip(a)]. 482 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(303(a,1),45(a,2,1)),flip(a)]. 484 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(303(a,2),115(a,1,1))]. 485 x * y != z * u | z \ (x * y) = u. [para(16(a,1),318(a,1,2))]. 486 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),318(a,1,2))]. 492 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(330(a,1),208(a,1,2)),flip(b)]. 493 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(331(a,1),208(a,1,2)),flip(b)]. 496 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(223(a,1),371(a,1,1))]. 497 (x * y) / y != z * u | z \ x = u. [para(223(a,2),371(a,1))]. 500 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(297(a,1),372(a,1,2))]. 506 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(223(a,1),373(a,1,1))]. 508 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(220,a,179,a,b,382,a)]. 509 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(401(a,1),43(a,2,1))]. 510 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(402(a,1),43(a,2,1))]. 511 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(402(a,1),47(a,1,1)),flip(a)]. 513 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(435(a,1),45(a,2,1))]. 516 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 517 K(x,1 / x) * L(x,1 / x,x) = x. [para(455(a,1),17(a,1,2))]. 520 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(89(a,2),485(a,1))]. 522 (x * T(y,x)) / x != z * u | z \ y = u. [para(118(a,2),497(a,1,1))]. 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(517(a,1),22(a,1)),flip(a)]. 524 T(x / y,(z / y) \ z) = y \ x. [hyper(160,a,252,a,b,250,a)]. 525 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(160,a,103,a(flip),b,90,a(flip))]. 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(220,a,103,a(flip),b,172,a(flip)),flip(a)]. 528 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(172(a,1),27(a,2,1,2)),flip(a)]. 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),172(a,1,2,1))]. 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),172(a,1,2,1))]. 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(120(a,1),172(a,1,2,1)),flip(a)]. 533 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(154(a,1),172(a,1,2,1)),flip(a)]. 534 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(119(a,1),172(a,1,2,1))]. 536 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(220,a,114,a(flip),b,173,a)]. 537 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,114,a(flip),b,173,a)]. 538 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(173(a,1),22(a,1))]. 541 R(x,y,z) * x = x * R(x,y,z). [para(117(a,1),173(a,1,2,1)),flip(a)]. 542 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(120(a,1),173(a,1,2,1)),flip(a)]. 543 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(130(a,1),173(a,1,2,1)),flip(a)]. 544 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(154(a,1),173(a,1,2,1)),flip(a)]. 545 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(119(a,1),173(a,1,2,1))]. 546 T(x,R(x,y,z)) = x. [hyper(161,a,541,a)]. 547 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(176(a,1),155(a,1,1,2))]. 548 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(177(a,1),155(a,1,1,2))]. 549 T(x / (y * x),y) = R(y \ 1,y,x). [para(151(a,1),177(a,1,1))]. 550 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(115(a,1),177(a,1,1))]. 551 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(219(a,1),177(a,1,1)),flip(a)]. 553 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(436(a,1),177(a,1,1)),flip(a)]. 554 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(549(a,1),118(a,1,2)),flip(a)]. 555 x * (y * (y \ z)) != u | x * z = u. [para(229(a,1),208(a,1)),flip(b)]. 556 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(229(a,1),478(a,1))]. 557 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(180(a,1),555(a,1))]. 559 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(318,a,240,a),flip(a)]. 560 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(160,a,240,a,b,118,a)]. 561 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(79,a,240,a)]. 564 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(240(a,2),29(a,2,1)),flip(a)]. 565 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(240(a,2),31(a,2,1)),flip(a)]. 567 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(373,a,241,a),flip(a)]. 568 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,241,a,b,xx)]. 573 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(242(a,2),555(a,1,2))]. 574 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),322(a,1,1))]. 576 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(118(a,1),327(a,1,2))]. 577 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(182(a,2),327(a,1,2))]. 578 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(328(a,2),191(a,1,2,2))]. 579 K(x \ (x * y),x) = K(y,x). [hyper(220,a,99,a(flip),b,335,a),flip(a)]. 580 K(x \ (x * y),z) = K(y,z). [para(56(a,1),579(a,1,1)),flip(a)]. 581 K((x / y) \ x,z) = K(y,z). [para(19(a,1),580(a,1,1,2))]. 583 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(344(a,1),272(a,1,1)),flip(b)]. 584 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(220,a,240,a(flip),b,345,a(flip)),flip(a)]. 585 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(345(a,1),272(a,1,1)),flip(b)]. 586 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(66(a,1),349(a,1,1,2,1))]. 587 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(349(a,1),214(a,1,1)),flip(b)]. 588 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(120(a,1),354(a,1,1,2)),flip(a)]. 589 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(354(a,1),214(a,1,1)),flip(b)]. 590 K((x \ y) \ 1,y \ x) = 1. [hyper(39,a,480,a)]. 591 K(((x * y) \ x) \ 1,y) = 1. [para(16(a,1),590(a,1,2))]. 592 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(561(a,1),208(a,1,2)),flip(b)]. 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,91,a(flip),b,94,a)]. 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(17(a,1),94(a,1,1,2))]. 595 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(19(a,1),94(a,1,1,2))]. 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),209(a,1,2)),flip(b)]. 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(114(a,1),94(a,1,1))]. 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(118(a,1),104(a,1,2,2)),flip(a)]. 602 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),205(a,1)),flip(b)]. 606 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(112(a,2),267(a,1,1))]. 608 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(184(a,1),149(a,1,2))]. 609 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),152(a,1,2))]. 610 L(T(x,y),y,x) = T(x,x * y). [hyper(211,a,167,a),flip(a)]. 612 T(L(x,y,x),y) = T(x,x * y). [hyper(220,a,43,a(flip),b,610,a(flip)),flip(a)]. 613 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(610(a,1),47(a,1,1)),flip(a)]. 614 x * T(y,y * x) = L(y,x,y) * x. [para(610(a,1),172(a,1,2))]. 615 (x * T(y,y * x)) / x = L(y,x,y). [para(612(a,1),155(a,1,1,2))]. 617 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,345,a,b,614,a(flip)),flip(a)]. 618 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(17(a,1),614(a,1,2,2)),flip(a)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),617(a,1,2))]. 624 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(47(a,1),275(a,1,1))]. 626 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(71,a,118,a(flip),b,295,a)]. 627 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(295(a,2),78(a,1))]. 628 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(300(a,2),103(a,1,2))]. 629 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(119(a,1),312(a,1,2))]. 631 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),314(a,1,2,1))]. 633 K(x,y) = L(x \ T(x,y),x,y). [hyper(220,a,29,a,b,341,a),flip(a)]. 634 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(341(a,1),43(a,2,1))]. 636 (x / y) \ (L(y \ 1,y,x / y) * x) != z | K(x \ (x / y),x) = z. [para(299(a,2),359(a,1,2,1))]. 637 (x \ y) \ (y * R(1 / x,x,x \ y)) != z | K(y,(x \ y) / y) = z. [para(303(a,2),361(a,1,2,2))]. 638 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(220,a,172,a(flip),b,384,a(flip))]. 639 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,172,a(flip),b,384,a(flip))]. 640 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),384(a,1,2))]. 641 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(384(a,1),209(a,1,2)),flip(b)]. 642 L(x \ y,x,y / x) = T(y / x,y). [hyper(160,a,89,a(flip),b,385,a),flip(a)]. 644 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,172,a(flip),b,385,a(flip))]. 647 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(400(a,1),43(a,2,1))]. 648 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(400(a,1),47(a,1,1)),flip(a)]. 649 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(404(a,2),211(a,1))]. 650 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(414(a,1),274(a,1,2)),flip(b)]. 651 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(439(a,1),45(a,2,1))]. 652 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 653 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(439(a,1),177(a,1,1)),flip(a)]. 654 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(449(a,1),207(a,1,1)),flip(b)]. 656 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),550(a,2,1)),flip(a)]. 657 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(550(a,1),175(a,1,1))]. 658 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(551(a,1),114(a,1,1))]. 659 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(16(a,1),553(a,1,1)),flip(a)]. 660 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(19(a,1),554(a,1,1,2)),flip(a)]. 662 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(656(a,2),118(a,1,2)),flip(a)]. 664 T(R(x,y,x),y * x) = T(x,y). [para(656(a,2),194(a,1,1))]. 665 R(T(x,y * x),y,x) = T(x,y). [hyper(220,a,45,a,b,664,a(flip)),flip(a)]. 667 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(664(a,1),173(a,1,2,1)),flip(a)]. 668 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),665(a,1,1,2))]. 669 R(x,1 / x,x) = T(x,1 / x). [para(141(a,1),668(a,1,1))]. 670 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(669(a,1),49(a,1,1)),flip(a)]. 671 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(659(a,1),155(a,1,1,2))]. 672 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(220,a,45,a,b,122,a),flip(a)]. 674 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),212(a,1,2))]. 675 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(48(a,1),212(a,1,2))]. 679 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),388(a,1,1)),flip(a)]. 681 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(118(a,1),396(a,1,1))]. 682 (x * y) \ (x * ((z \ y) * z)) != u | L(K(z \ y,z),y,x) = u. [para(234(a,1),396(a,1,2,2))]. 683 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),396(a,1,2,2))]. 688 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(69(a,1),429(a,1,1))]. 691 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(118(a,1),492(a,1,2))]. 692 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(179(a,2),493(a,1,2))]. 694 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(298(a,1),531(a,2,2))]. 695 L(R(x / y,y,y \ z),u,w) * z = z * L(z \ (x * (y \ z)),u,w). [para(438(a,2),531(a,1,1,1))]. 697 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,533,a),flip(a)]. 698 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,103,a(flip),b,533,a),flip(a)]. 701 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(542(a,1),184(a,1,1))]. 702 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(238(a,1),542(a,1,1,1)),flip(a)]. 703 T(x,R(T(x,y),z,u)) = x. [hyper(161,a,543,a)]. 704 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(216,a,544,a)]. 705 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,544,a),flip(a)]. 708 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,544,a(flip),b,275,a(flip))]. 713 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(217(a,1),547(a,1,1,2)),flip(a)]. 714 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(298(a,1),547(a,1,1,2))]. 716 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(633(a,2),547(a,1,1,2)),flip(a)]. 718 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(66(a,1),548(a,1,1,2,1))]. 719 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(548(a,1),214(a,1,1)),flip(b)]. 720 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(588(a,1),118(a,1,2)),flip(a)]. 721 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(588(a,1),155(a,1,1,2))]. 723 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(120(a,1),672(a,1,1,1)),flip(a)]. 724 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),697(a,2,1,2))]. 725 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(217(a,1),697(a,2,1,2))]. 726 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(299(a,1),697(a,2,1,2))]. 727 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(400(a,1),697(a,2,1,2))]. 729 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(151(a,1),705(a,2,1,2))]. 730 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(219(a,1),705(a,2,1,2))]. 732 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(435(a,1),705(a,2,1,2))]. 733 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(436(a,1),705(a,2,1,2))]. 734 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(705(a,1),216(a,1,1))]. 736 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(220,a,354,a(flip),b,170,a(flip)),flip(a)]. 737 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(220,a,105,a(flip),b,301,a)]. 738 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(294(a,1),301(a,1,1)),flip(a)]. 739 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(301(a,1),103(a,1,2))]. 740 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(17(a,1),738(a,1,1,1))]. 741 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),392(a,1,2,1))]. 742 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(217(a,1),392(a,1,2,1))]. 743 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(610(a,1),392(a,1,2,1))]. 745 (x * y) * L(R(T(x,y) \ z,u,w),T(x,y),y) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(542(a,2),395(a,2,2))]. 746 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(118(a,1),407(a,1,1,1)),flip(a)]. 747 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(407(a,2),212(a,1,2))]. 748 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(409(a,1),47(a,1,1)),flip(a)]. 749 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(409(a,1),48(a,1,1)),flip(a)]. 750 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(115(a,1),423(a,1,1,1))]. 751 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(20,a,173,a,b,426,a(flip)),flip(a)]. 752 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(751(a,1),426(a,1,1)),flip(a)]. 753 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(220,a,120,a(flip),b,440,a(flip))]. 754 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(118(a,1),451(a,1,2))]. 755 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(402(a,1),457(a,1,2,1)),flip(a)]. 756 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(220,a,344,a(flip),b,463,a)]. 757 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(472(a,1),212(a,1,2))]. 758 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(481(a,2),385(a,1,2)),flip(a)]. 759 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(482(a,2),275(a,1,1))]. 760 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(602,a,509,a)]. 761 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(220,a,461,a(flip),b,509,a(flip)),flip(a)]. 762 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,509,a(flip),b,183,a)]. 764 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(220,a,459,a(flip),b,510,a(flip)),flip(a)]. 765 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(71,a,510,a(flip),b,459,a(flip))]. 766 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(72,a,513,a(flip),b,185,a),flip(a)]. 769 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(525(a,1),345(a,1,1))]. 770 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(220,a,295,a(flip),b,526,a),flip(a)]. 772 R(T(x,(x \ y) * z),x \ y,z) = ((x \ y) * z) \ (y * z). [hyper(71,a,91,a(flip),b,536,a),flip(a)]. 773 (x * y) * T(y,x) = (y * x) * y. [para(665(a,1),536(a,1,2))]. 774 (x * (y / x)) * x = y * T(x,y / x). [hyper(271,a,773,a),flip(a)]. 775 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(71,a,57,a(flip),b,773,a)]. 777 K(x \ 1,x) \ x = T(x,x \ 1). [para(179(a,2),775(a,1,1))]. 778 K(x \ 1,x) * T(x,x \ 1) = x. [para(777(a,1),17(a,1,2))]. 779 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(220,a,241,a(flip),b,778,a(flip)),flip(a)]. 781 R(x,y \ 1,(y \ 1) \ 1) != z | (x * (y \ 1)) * T(y,y \ 1) = z. [para(184(a,1),573(a,1))]. 782 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(63(a,1),587(a,1,1,1))]. 783 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(155(a,1),589(a,1,1,1))]. 784 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(118(a,1),593(a,1,1))]. 786 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [hyper(71,a,774,a(flip),b,595,a)]. 788 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(220,a,353,a(flip),b,621,a(flip)),flip(a)]. 792 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(298(a,1),639(a,1,2,1)),flip(a)]. 793 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(400(a,1),639(a,1,2,1)),flip(a)]. 795 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(19(a,1),713(a,2,1,2,1))]. 796 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(165(a,1),713(a,2,1,2))]. 797 (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). [para(17(a,1),753(a,1,1,2)),flip(a)]. 798 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(769(a,1),23(a,1))]. 800 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(220,a,334,a,b,720,a(flip)),flip(a)]. 801 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(63(a,1),720(a,1,1,1,2)),flip(a)]. 802 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(115(a,2),720(a,1,1,1,2))]. 804 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(721(a,1),214(a,1,1)),flip(b)]. 805 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(115(a,1),723(a,1,1,1))]. 806 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(441(a,1),723(a,1,1)),flip(a)]. 807 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(160,a,752,a,b,xx)]. 810 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),755(a,2,2,1))]. 811 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),755(a,2,2,1))]. 812 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(220,a,346,a(flip),b,810,a(flip)),flip(a)]. 813 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(812(a,1),166(a,1,2,2))]. 814 T((1 / x) * y,z) != (1 / x) * u | x * T(x \ y,z) = u. [para(760(a,1),22(a,1))]. 815 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),762(a,1,2,1))]. 816 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),762(a,1,2,1)),flip(a)]. 818 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),765(a,1,2,1)),flip(a)]. 819 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(19(a,1),765(a,1,2,1))]. 820 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(589,a,766,a),flip(a)]. 821 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(587,a,766,a)]. 822 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,766,a(flip),b,344,a(flip))]. 823 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(120(a,1),766(a,1,1)),flip(a)]. 824 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(766(a,1),587(a,1))]. 825 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(220,a,335,a,b,792,a),flip(a)]. 826 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,335,a,b,792,a),flip(a)]. 828 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(78,a,811,a)]. 829 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,811,a(flip),b,344,a)]. 831 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(213,a,816,a)]. 832 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(820(a,1),19(a,1,1)),flip(a)]. 833 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(57(a,1),820(a,1,1,1)),flip(a)]. 834 (1 / x) * T(x,y) = T(x,y) / x. [para(64(a,1),820(a,1,1,1)),flip(a)]. 835 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(269,a,834,a),flip(a)]. 836 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(160,a,834,a,b,17,a),flip(a)]. 837 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,834,a)]. 838 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(78,a,834,a)]. 839 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(220,a,241,a(flip),b,834,a(flip))]. 841 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(834(a,1),269(a,1))]. 842 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(834(a,1),617(a,1,2))]. 843 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(220,a,344,a,b,835,a)]. 844 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(574,a,836,a)]. 845 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(119(a,1),839(a,1,1)),flip(a)]. 846 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(19(a,1),821(a,2,1,1))]. 847 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(19(a,1),822(a,1,2,1,1))]. 849 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),823(a,1,1,1)),flip(a)]. 851 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(150(a,2),826(a,1,1,1))]. 853 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z * u | K(y,x) / u = z. [para(826(a,2),478(a,1,2))]. 854 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(828(a,1),208(a,1,2)),flip(b)]. 856 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(832(a,2),23(a,1))]. 859 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(834(a,1),264(a,1,2,2))]. 860 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(150(a,1),393(a,1,2,1))]. 861 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),393(a,1,2,1))]. 862 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(217(a,1),393(a,1,2,1))]. 863 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),394(a,1,2,1))]. 864 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(217(a,1),394(a,1,2,1))]. 865 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,398,a)]. 867 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(408(a,2),212(a,1,2))]. 871 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(812(a,1),452(a,1,1,1))]. 872 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(456(a,2),22(a,1))]. 873 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(402(a,1),456(a,1,2,1)),flip(a)]. 874 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(294(a,1),460(a,1,2,1))]. 876 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(469(a,2),23(a,1))]. 877 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(435(a,1),469(a,1,1,1)),flip(a)]. 879 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(669(a,1),470(a,1,1,1))]. 880 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(508(a,1),80(a,1,1)),flip(b)]. 881 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,511,a(flip),b,180,a),flip(a)]. 882 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(647(a,1),384(a,1,2)),flip(a)]. 883 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(651(a,1),417(a,1,1)),flip(a)]. 884 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(303(a,1),708(a,1,1,2))]. 886 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),806(a,1,1,1)),flip(a)]. 887 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(851(a,2),325(a,1,2)),flip(a)]. 889 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,173,a,b,545,a),flip(a)]. 890 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(71,a,889,a,b,17,a)]. 891 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,889,a(flip),b,276,a),flip(a)]. 893 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(587,a,658,a)]. 894 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(314,a,743,a),flip(a)]. 895 T(x,y) * (x * z) = x * (T(x,y) * z). [para(171(a,1),894(a,1,2)),flip(a)]. 896 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(555,a,895,a),flip(a)]. 897 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(520,a,895,a)]. 898 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(486,a,895,a),flip(a)]. 899 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(220,a,89,a(flip),b,895,a)]. 900 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(160,a,895,a,b,229,a)]. 905 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,58,a(flip),b,895,a),flip(a)]. 906 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(19(a,1),895(a,1,2)),flip(a)]. 907 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(118(a,1),895(a,1,2)),flip(a)]. 908 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),895(a,1,1)),flip(a)]. 911 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(196,a,905,a)]. 912 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(160,a,905,a,b,17,a),flip(a)]. 913 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,905,a)]. 914 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(78,a,905,a)]. 915 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(905(a,1),209(a,1,2)),flip(b)]. 917 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(905(a,1),183(a,1,2)),flip(a)]. 918 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(913(a,1),829(a,2,1))]. 919 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(914(a,1),761(a,1,2,1)),flip(a)]. 920 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(896(a,1),22(a,1))]. 921 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,898,a)]. 922 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(160,a,118,a,b,899,a),flip(a)]. 923 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,384,a,b,899,a)]. 924 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,235,a,b,899,a)]. 925 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(120(a,1),922(a,1,2,1))]. 926 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(921(a,1),208(a,1,2)),flip(b)]. 927 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(921(a,2),208(a,1,2)),flip(b)]. 928 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(921(a,1),478(a,1,2))]. 929 x * (T(x,y) \ (x \ z)) != u * w | (T(x,y) \ z) / w = u. [para(921(a,2),478(a,1,2))]. 930 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,384,a,b,907,a)]. 931 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(918(a,1),19(a,1,1))]. 932 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(120(a,1),925(a,2,2))]. 933 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),932(a,1,2,1))]. 935 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),933(a,2,2)),flip(a)]. 936 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,935,a,b,xx)]. 939 T(x,x / y) / y = (x * (x / y)) / x. [hyper(277,a,935,a(flip))]. 940 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),935(a,2,1,1)),flip(a)]. 941 ((x * (x / y)) / x) * y = T(x,x / y). [para(66(a,1),935(a,2,2)),flip(a)]. 944 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(326(a,1),935(a,2,2)),flip(a)]. 945 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),936(a,1,2)),flip(a)]. 947 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(939(a,1),214(a,1,1)),flip(b)]. 948 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(220,a,720,a(flip),b,941,a(flip)),flip(a)]. 949 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(71,a,941,a(flip),b,720,a(flip))]. 950 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(66(a,1),948(a,1,2,1,2))]. 951 T(x \ T(y,y / x),y) = x \ y. [para(949(a,2),154(a,1,1))]. 952 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(949(a,1),318(a,1,2))]. 953 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(63(a,1),951(a,1,1,2,2))]. 954 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,154,a(flip),b,940,a),flip(a)]. 955 T(T(x * y,x) / y,x * y) = x. [para(945(a,1),154(a,1,1))]. 956 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(945(a,1),736(a,1,1))]. 957 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(184(a,1),955(a,1,1,1,1))]. 958 ((x * y) * x) / (x * y) != z * u | z \ (T(x * y,x) / y) = u. [para(955(a,1),522(a,1,1,2))]. 960 x * R(y,x,T(y,x)) = T(y * x,y). [para(956(a,1),159(a,1,2))]. 962 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(155(a,1),950(a,1,2)),flip(a)]. 964 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(55(a,1),926(a,1,2,2))]. 965 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(346(a,2),964(a,1))]. 966 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(16(a,1),927(a,1,2,2))]. 968 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(344(a,1),906(a,1,2))]. 969 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(836(a,1),924(a,1,2))]. 971 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(968(a,2),22(a,2))]. 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(257(a,1),758(a,1,2))]. 974 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(587,a,759,a),flip(a)]. 975 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(358,a,770,a)]. 976 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(72,a,975,a,b,344,a)]. 977 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),873(a,2,2,1))]. 979 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(220,a,534,a(flip),b,977,a(flip)),flip(a)]. 980 ((x \ y) \ 1) \ L((x \ y) \ 1,x \ y,x) = (y \ x) * (((x \ y) \ 1) \ 1). [para(298(a,1),979(a,1,1)),flip(a)]. 981 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(979(a,1),554(a,1,1,2)),flip(a)]. 983 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(719,a,877,a)]. 984 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(877(a,1),23(a,1))]. 985 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),881(a,2,2,1))]. 987 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(220,a,545,a(flip),b,985,a(flip)),flip(a)]. 988 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,985,a(flip),b,545,a(flip))]. 989 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(72,a,987,a(flip),b,173,a)]. 990 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(66(a,1),987(a,1,2)),flip(a)]. 991 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(987(a,1),98(a,1,1))]. 992 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(987(a,1),554(a,1,1,2)),flip(a)]. 993 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),588(a,2,1))]. 995 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(220,a,542,a(flip),b,990,a)]. 997 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(220,a,608,a(flip),b,995,a(flip))]. 998 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(995(a,1),17(a,1,2))]. 999 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(304(a,1),995(a,1,2)),flip(a)]. 1000 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(554(a,2),998(a,1,2))]. 1001 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(220,a,151,a(flip),b,1000,a)]. 1002 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(160,a,1001,a,b,297,a)]. 1004 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(220,a,720,a(flip),b,884,a)]. 1005 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(220,a,628,a(flip),b,893,a(flip))]. 1007 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(63(a,1),1005(a,1,1,1,2)),flip(a)]. 1009 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),908(a,1,2,1))]. 1010 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(154(a,1),908(a,1,2,1)),flip(a)]. 1011 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(178(a,1),908(a,1,2,1)),flip(a)]. 1012 (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. [hyper(555,a,1009,a),flip(a)]. 1014 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(317,a,1009,a),flip(a)]. 1015 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(220,a,65,a(flip),b,1009,a)]. 1018 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(71,a,58,a(flip),b,1009,a),flip(a)]. 1019 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(691,a,1015,a)]. 1020 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(66(a,1),1015(a,1,2,1))]. 1021 (1 / x) * K(x \ 1,x) = x \ 1. [para(179(a,2),1015(a,1,2))]. 1022 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1021(a,1),418(a,2,2))]. 1023 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1019(a,1),460(a,1,2,1))]. 1024 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(220,a,845,a(flip),b,1014,a(flip)),flip(a)]. 1025 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(16(a,1),1014(a,1,2,1)),flip(a)]. 1026 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1018(a,1),22(a,1))]. 1027 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(220,a,66,a(flip),b,1020,a)]. 1029 (1 / (1 / x)) * K(x,1 / x) = x. [para(182(a,2),1027(a,1,2))]. 1031 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(120(a,1),974(a,1,1,1))]. 1032 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(344(a,1),974(a,1,1))]. 1033 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(179(a,2),1031(a,1,1))]. 1035 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),983(a,2,1,1))]. 1036 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(66(a,1),1035(a,1,2,1))]. 1037 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(160,a,1036,a,b,17,a),flip(a)]. 1038 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(78,a,1036,a)]. 1039 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1036(a,2),19(a,1,1))]. 1040 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1036(a,1),161(a,2)),flip(a)]. 1041 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1036(a,1),105(a,2,1))]. 1042 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1038(a,1),208(a,1,2)),flip(b)]. 1043 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1037(a,1),606(a,1,1,2))]. 1044 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(220,a,172,a(flip),b,1023,a)]. 1045 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(298(a,1),1044(a,1,2)),flip(a)]. 1046 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(16(a,1),1025(a,1,1)),flip(a)]. 1047 (1 / x) \ ((y * (1 / x)) / y) = ((y * (1 / x)) / y) * x. [para(66(a,1),1046(a,1,2)),flip(a)]. 1048 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1032(a,1),272(a,1,1)),flip(b)]. 1049 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(810(a,1),1032(a,1,1))]. 1052 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(400(a,1),640(a,1,2,1)),flip(a)]. 1053 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(648(a,1),384(a,1,2)),flip(a)]. 1054 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(652(a,1),417(a,1,1)),flip(a)]. 1056 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(220,a,425,a(flip),b,667,a(flip))]. 1057 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(118(a,1),698(a,2,1,2))]. 1059 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,724,a(flip),b,183,a)]. 1060 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(724(a,1),103(a,1,2))]. 1061 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(725(a,1),103(a,1,2))]. 1062 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(725(a,1),212(a,1,2))]. 1063 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(726(a,1),385(a,1,2)),flip(a)]. 1064 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,732,a(flip),b,185,a),flip(a)]. 1065 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(746(a,1),395(a,1,2))]. 1066 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(436(a,1),756(a,1,1,1))]. 1067 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(220,a,755,a(flip),b,1066,a)]. 1068 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1066(a,1),19(a,1,1))]. 1075 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(220,a,638,a(flip),b,784,a)]. 1076 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1075(a,1),66(a,1,1))]. 1078 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(897(a,1),796(a,1,1,1))]. 1079 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(220,a,333,a(flip),b,797,a(flip))]. 1081 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(1079(a,1),275(a,1,1))]. 1082 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(344(a,1),1081(a,2,1))]. 1083 (1 / x) \ ((y * (1 / x)) / y) != z | x * ((y * (x \ 1)) / y) = z. [para(1047(a,2),804(a,1))]. 1084 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(14(a,1),824(a,1,1,1))]. 1085 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(16(a,1),854(a,1,2,1,2))]. 1087 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(584(a,2),22(a,1))]. 1089 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(740(a,1),979(a,1,1)),flip(a)]. 1090 x * (y * T(y \ (x \ (z * (x * y))),u)) = T(z,u) * (x * y). [hyper(631,a,742,a),flip(a)]. 1091 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(220,a,893,a(flip),b,742,a(flip))]. 1092 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(755(a,1),1091(a,1,2)),flip(a)]. 1093 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(821(a,1),1091(a,1,2)),flip(a)]. 1094 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1033(a,2),1091(a,1,2)),flip(a)]. 1095 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(60(a,1),1094(a,1,1,1,2)),flip(a)]. 1097 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(179(a,2),1095(a,2,1))]. 1098 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1097(a,1,2,2)),flip(a)]. 1099 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1097(a,1,2,2))]. 1100 K(x \ 1,x) * K(x,1 / x) = x * (K(x \ 1,x) * (1 / x)). [para(263(a,1),1097(a,1,2,2)),flip(a)]. 1101 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1098(a,1),167(a,1,2))]. 1102 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(589,a,750,a),flip(a)]. 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(345(a,1),1102(a,1,1))]. 1104 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(506,a,1103,a)]. 1105 (1 / T(x,y)) * x = x / T(x,y). [hyper(320,a,1103,a),flip(a)]. 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(271,a,1103,a),flip(a)]. 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(220,a,118,a(flip),b,1103,a)]. 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(220,a,90,a(flip),b,1103,a)]. 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,1103,a)]. 1110 (x * (y * x)) / x = y * T(x,y * x). [hyper(72,a,118,a(flip),b,1103,a)]. 1112 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,69,a(flip),b,1103,a),flip(a)]. 1113 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(71,a,90,a(flip),b,1103,a)]. 1115 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(118(a,1),1103(a,2,1))]. 1116 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(120(a,1),1103(a,1,1,2)),flip(a)]. 1118 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(78,a,1105,a)]. 1120 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1118(a,1),208(a,1,2)),flip(b)]. 1121 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1118(a,1),847(a,2,1))]. 1122 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1118(a,1),849(a,1,1)),flip(a)]. 1126 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1104(a,2),161(a,2)),flip(a)]. 1127 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),23(a,1)),flip(a)]. 1128 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),272(a,1,1)),flip(b)]. 1129 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(962(a,2),1106(a,1,1))]. 1132 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,118,a(flip),b,1108,a),flip(a)]. 1133 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(269,a,1132,a),flip(a)]. 1135 (T(x,y) / y) \ x = T(y,T(x,y)). [hyper(71,a,155,a(flip),b,1132,a)]. 1139 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(302(a,1),1132(a,1,1)),flip(a)]. 1140 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(323(a,1),1132(a,1,1)),flip(a)]. 1141 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),886(a,1,1)),flip(a)]. 1145 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1121(a,1),63(a,1,2))]. 1148 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1129(a,1),907(a,1,2)),flip(a)]. 1150 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1148,a),flip(a)]. 1151 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(220,a,962,a(flip),b,1150,a(flip))]. 1152 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(688,a,1151,a)]. 1153 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(171(a,1),1115(a,1,1))]. 1154 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,57,a(flip),b,1153,a)]. 1155 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(120(a,1),1116(a,1,2))]. 1156 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(154(a,1),1116(a,1,2)),flip(a)]. 1157 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(506,a,1155,a)]. 1159 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(320,a,1155,a),flip(a)]. 1160 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(72,a,90,a(flip),b,1155,a)]. 1164 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(220,a,812,a(flip),b,1154,a)]. 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(220,a,1046,a(flip),b,801,a)]. 1166 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),860(a,1,1))]. 1167 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,882,a)]. 1168 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),882(a,2,2,1,2))]. 1169 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,1168,a),flip(a)]. 1170 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(257(a,1),1168(a,1,2)),flip(a)]. 1171 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(220,a,975,a,b,1169,a(flip)),flip(a)]. 1172 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(16(a,1),1170(a,1,2,1)),flip(a)]. 1173 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(220,a,344,a(flip),b,883,a)]. 1176 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(792(a,1),1007(a,1,2)),flip(a)]. 1177 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(99(a,1),1176(a,2,2))]. 1178 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1177(a,1,1,1))]. 1180 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1178(a,2,2,1))]. 1181 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(220,a,296,a,b,1180,a(flip)),flip(a)]. 1183 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1010(a,1,1)),flip(a)]. 1184 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(555,a,1183,a),flip(a)]. 1185 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,89,a(flip),b,1183,a)]. 1186 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,58,a(flip),b,1183,a),flip(a)]. 1187 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(586(a,1),1186(a,1,2,1)),flip(a)]. 1188 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(20,a,384,a,b,1184,a)]. 1189 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(220,a,137,a(flip),b,1011,a(flip))]. 1190 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(317,a,1189,a),flip(a)]. 1192 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(220,a,1159,a(flip),b,1190,a(flip)),flip(a)]. 1195 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(947,a,1064,a),flip(a)]. 1196 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(804,a,1064,a)]. 1197 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1195(a,1,1,1,2)),flip(a)]. 1198 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1195(a,1),1152(a,1,1))]. 1199 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1156(a,1,1,2)),flip(a)]. 1201 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(320,a,1199,a),flip(a)]. 1202 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,64,a(flip),b,1199,a),flip(a)]. 1203 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(950(a,1),1199(a,1,1)),flip(a)]. 1204 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(271,a,1203,a),flip(a)]. 1205 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(920,a,1204,a)]. 1207 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1205,a)]. 1209 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(220,a,1197,a,b,1207,a(flip)),flip(a)]. 1210 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1209(a,1,2,2,2)),flip(a)]. 1211 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(17(a,1),1167(a,1,2,2,1,2)),flip(a)]. 1212 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(344(a,1),1173(a,1,1))]. 1213 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1196(a,2,1,1,2))]. 1214 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(35(a,2),1211(a,1,1))]. 1217 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,742,a(flip),b,1212,a)]. 1218 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(72,a,741,a(flip),b,1212,a),flip(a)]. 1219 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,118,a(flip),b,1212,a),flip(a)]. 1220 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(14(a,1),1212(a,2,2,1,2))]. 1221 (x * T(((x * y) / y) \ z,u)) * y = (x * y) * T((x * y) \ (z * y),u). [para(18(a,1),1212(a,1,1,1))]. 1222 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(87,a,1220,a),flip(a)]. 1223 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(257(a,1),1220(a,1,1))]. 1224 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(220,a,975,a,b,1222,a(flip)),flip(a)]. 1225 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(220,a,342,a(flip),b,1223,a)]. 1227 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(72,a,516,a(flip),b,701,a)]. 1228 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1227(a,1,1,1)),flip(a)]. 1230 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(727(a,1),384(a,1,2)),flip(a)]. 1231 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(749(a,1),395(a,1,2))]. 1232 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(220,a,660,a(flip),b,999,a(flip))]. 1234 ((x \ y) / y) * (y / (x \ y)) = (1 / x) \ ((x \ y) / y). [para(63(a,1),1232(a,1,1,2)),flip(a)]. 1237 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(63(a,1),1234(a,1,2)),flip(a)]. 1238 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(298(a,1),1045(a,1,1)),flip(a)]. 1239 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(16(a,1),1238(a,1,2)),flip(a)]. 1240 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1238(a,1),17(a,1,2))]. 1241 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(160,a,1240,a,b,17,a)]. 1243 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(16(a,1),1239(a,1,1)),flip(a)]. 1244 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1243(a,1),17(a,1,2))]. 1245 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(354(a,1),1057(a,1,1))]. 1246 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(636,a,644,a)]. 1247 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(644(a,1),636(a,1))]. 1248 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(220,a,1222,a(flip),b,1246,a)]. 1249 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(220,a,1169,a(flip),b,1246,a)]. 1250 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(220,a,833,a(flip),b,1246,a)]. 1251 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(220,a,810,a(flip),b,1246,a)]. 1252 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,1246,a,b,344,a)]. 1253 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(836(a,1),1246(a,1,1))]. 1254 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1246(a,2),907(a,1,2)),flip(a)]. 1255 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1246(a,2),1168(a,1,2)),flip(a)]. 1256 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1250(a,2),19(a,1,1)),flip(a)]. 1257 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (T(y / z,x) * z) / y. [para(1250(a,2),439(a,1,1))]. 1259 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(120(a,1),1251(a,2,2))]. 1260 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(154(a,1),1251(a,2,2))]. 1262 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(a,2),1248(a,1,1,2,2))]. 1263 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [para(628(a,1),1248(a,2,1))]. 1264 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(953(a,1),1248(a,2,1,2))]. 1265 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(66(a,1),1249(a,2,2,2,1))]. 1267 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(854,a,1255,a),flip(a)]. 1269 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1255(a,2,2,1,2,2))]. 1270 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1255(a,2,2,1,2,2))]. 1271 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(988(a,1),1259(a,2,2))]. 1272 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1260(a,2),119(a,1,2))]. 1273 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(586(a,1),1260(a,1,1,2,2,1))]. 1274 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1132(a,1),1265(a,2,2))]. 1275 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(493,a,1254,a)]. 1276 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(257(a,1),1263(a,2,1,2))]. 1278 (x * y) * R(T(x,x * y),z,u) = x * (y * R(y \ (x * y),z,u)). [para(35(a,2),861(a,1,2,1))]. 1279 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),864(a,1,1))]. 1280 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(734,a,944,a)]. 1281 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1046(a,1),1280(a,1,1))]. 1282 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(87,a,1281,a)]. 1284 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(155(a,1),1281(a,1,1,2)),flip(a)]. 1285 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(66(a,1),1282(a,1,1,2,2)),flip(a)]. 1286 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1282(a,1),844(a,1,3)),flip(a)]. 1287 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(1083,a,1285,a),flip(a)]. 1288 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1287(a,1),19(a,1,1))]. 1289 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(905(a,1),1288(a,1,1,2,1))]. 1293 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,1052,a)]. 1294 (x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y). [hyper(71,a,529,a(flip),b,1052,a),flip(a)]. 1296 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(220,a,534,a(flip),b,1294,a(flip))]. 1297 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,225,a(flip),b,1296,a(flip)),flip(a)]. 1298 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(1296(a,1),17(a,1,2))]. 1300 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(1297(a,1),17(a,1,2))]. 1301 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1297(a,1),401(a,1,1))]. 1302 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1297(a,1),761(a,1,2,1)),flip(a)]. 1303 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1300(a,1),29(a,2,1)),flip(a)]. 1306 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(16(a,1),1298(a,1,2,2)),flip(a)]. 1310 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,89,a(flip),b,1306,a)]. 1312 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1306(a,1),167(a,1,2))]. 1313 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(179(a,2),1310(a,1,2))]. 1315 (R(x / (y / z),u,w) * (y / z)) * z = y * R(y \ (x * z),u,w). [hyper(220,a,542,a(flip),b,1054,a)]. 1319 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,1063,a)]. 1322 x * (y * R(y \ (x * y),z,u)) = R(x,z,u) * (x * y). [hyper(316,a,1278,a),flip(a)]. 1323 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(35(a,2),1322(a,1,2,2,1))]. 1324 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(173(a,1),1323(a,1,2)),flip(a)]. 1325 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(556,a,1324,a)]. 1326 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(555,a,1324,a),flip(a)]. 1329 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,1324,a)]. 1330 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,58,a(flip),b,1324,a),flip(a)]. 1333 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(118(a,1),1324(a,1,2)),flip(a)]. 1334 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(220,a,118,a,b,1330,a(flip)),flip(a)]. 1335 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1330(a,1),183(a,1,2)),flip(a)]. 1343 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(160,a,114,a(flip),b,1333,a),flip(a)]. 1346 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1293(a,1,2,2,1,2)),flip(a)]. 1347 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1346(a,1,1)),flip(a)]. 1348 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(211,a,1312,a),flip(a)]. 1349 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1348(a,1),172(a,1,2))]. 1351 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(542(a,1),1315(a,1,1))]. 1352 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1319(a,1,2,2,1))]. 1353 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(361,a,1352,a)]. 1354 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1352(a,1),361(a,1))]. 1355 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(220,a,1165,a(flip),b,1353,a)]. 1357 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(837(a,1),1353(a,1,2)),flip(a)]. 1358 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1145(a,1),1353(a,1,2)),flip(a)]. 1359 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(905(a,1),1355(a,2,2,1))]. 1360 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(987(a,1),1355(a,2,2,1))]. 1361 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(346(a,2),1357(a,1,2,1))]. 1362 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(14(a,1),1351(a,2,2,1,2))]. 1363 (x * R(((x * y) / y) \ z,u,w)) * y = (x * y) * R((x * y) \ (z * y),u,w). [para(18(a,1),1351(a,1,1,1))]. 1364 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1362,a),flip(a)]. 1365 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1364(a,1,1)),flip(a)]. 1368 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(729(a,1),434(a,1,1))]. 1370 (L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u). [hyper(220,a,624,a(flip),b,695,a(flip)),flip(a)]. 1371 (x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u). [para(531(a,1),1370(a,1,1))]. 1372 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(14(a,1),1371(a,2,2,1,2))]. 1373 (x * y) * L((x * y) \ (z * (x \ (x * y))),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1371(a,1,2)),flip(a)]. 1374 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(733(a,1),800(a,1,1))]. 1375 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(779(a,1),1374(a,1,1,1,2)),flip(a)]. 1378 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(184(a,1),957(a,1,2))]. 1379 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(463(a,1),1378(a,1,1))]. 1380 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1379(a,1),41(a,1,1)),flip(a)]. 1381 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(807(a,1),1380(a,1,1))]. 1382 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1381(a,1,1)),flip(a)]. 1383 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(436(a,1),1382(a,2,2))]. 1384 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1383(a,1,1))]. 1385 T(x,x * (y \ 1)) = T(x,y \ x). [para(120(a,1),1384(a,1,2)),flip(a)]. 1387 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (z * T(z \ y,x)) / y. [para(344(a,1),1257(a,2,1))]. 1388 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(442(a,1),1289(a,2,2))]. 1389 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1388(a,2,2,1))]. 1390 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(15(a,1),1060(a,1,2,1,2,2))]. 1391 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(952,a,1390,a)]. 1392 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1390,a(flip))]. 1393 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1390(a,1,1))]. 1394 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(220,a,1353,a,b,1391,a)]. 1395 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1391,a(flip),b,812,a)]. 1396 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1391(a,2),1288(a,1,1)),flip(a)]. 1397 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1394(a,1),17(a,1,2))]. 1398 x * K(x,(x / y) / x) != z | T(x,x / (x * y)) = z. [para(1394(a,1),208(a,1,2)),flip(b)]. 1399 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(63(a,1),1397(a,1,2,2,1)),flip(a)]. 1400 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(113(a,2),1399(a,1,2))]. 1402 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1400(a,2,2,2))]. 1403 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1402(a,1),897(a,1,2,1)),flip(a)]. 1404 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(987(a,1),1395(a,1,1,2,1))]. 1405 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1402(a,1),1403(a,1,1)),flip(a)]. 1406 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(15(a,1),1405(a,1,2)),flip(a)]. 1407 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,16,a(flip),b,1406,a)]. 1408 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(29(a,2),1065(a,1,2,1)),flip(a)]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(930(a,1),1408(a,1,2))]. 1410 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(18(a,1),1221(a,1,1,2,1,1)),flip(a)]. 1411 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(757,a,1410,a)]. 1413 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(160,a,1410,a(flip),b,742,a(flip)),flip(a)]. 1414 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1410(a,1,2,1,2))]. 1416 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1413(a,1,2,1,2)),flip(a)]. 1417 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1416,a,b,xx)]. 1418 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [para(118(a,1),1416(a,1,1)),flip(a)]. 1419 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(213,a,1418,a),flip(a)]. 1420 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1418,a(flip),b,118,a(flip))]. 1421 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1419(a,2),62(a,1,2,1))]. 1422 x \ T(x * (y / x),x) = T(y,x) / x. [para(67(a,1),1420(a,1,1,1)),flip(a)]. 1425 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1421(a,1,2,1,1,1))]. 1426 T(x * (y / x),x) = x * (T(y,x) / x). [para(67(a,1),1421(a,1,2,1,1)),flip(a)]. 1429 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(820(a,1),1425(a,1,2)),flip(a)]. 1430 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1417(a,1,2,1,2,1))]. 1431 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * (x * (1 / x)). [hyper(220,a,1090,a(flip),b,1429,a)]. 1432 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1422(a,1),1430(a,2,1))]. 1433 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1432(a,1),17(a,1,2)),flip(a)]. 1434 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(143(a,1),1433(a,2,2,1,1))]. 1435 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(757,a,1414,a)]. 1436 T(x,x * T(x \ 1,y)) = x. [hyper(160,a,628,a(flip),b,1414,a(flip))]. 1437 T(x,(x \ 1) * x) = x. [para(118(a,1),1436(a,1,2))]. 1438 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1436(a,1),668(a,1,1))]. 1439 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(346(a,1),1436(a,1,2))]. 1440 T(x \ 1,x \ T(x,y)) = x \ 1. [para(810(a,1),1436(a,1,2))]. 1441 T(1 / x,T(x,y) / x) = 1 / x. [para(833(a,1),1436(a,1,2))]. 1442 R(x,x \ 1,x) = T(x,x \ 1). [para(1437(a,1),665(a,1,1))]. 1443 T(x,x \ 1) \ x = (x \ 1) * x. [para(1442(a,1),326(a,1,1))]. 1444 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1440,a)]. 1445 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1440(a,1),118(a,1,2))]. 1446 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1441(a,1),354(a,1,1,2)),flip(a)]. 1448 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(160,a,1443,a(flip),b,905,a),flip(a)]. 1452 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [hyper(220,a,559,a(flip),b,1448,a(flip))]. 1453 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(220,a,246,a,b,1452,a),flip(a)]. 1454 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(220,a,119,a,b,1452,a),flip(a)]. 1455 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(66(a,1),1452(a,2,1,1))]. 1456 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1439(a,1),665(a,1,1))]. 1457 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1444(a,1),634(a,1,1)),flip(a)]. 1458 T(x,1 / x) = (x \ 1) \ 1. [para(66(a,1),1455(a,1,1))]. 1459 T(x,1 / x) = T(x,x \ 1). [hyper(220,a,119,a,b,1458,a)]. 1460 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(220,a,669,a,b,1458,a(flip)),flip(a)]. 1461 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1458(a,1),879(a,1,1,1))]. 1462 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1459(a,1),354(a,1,1,2))]. 1463 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1459(a,1),670(a,2,1))]. 1464 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(220,a,471,a,b,1460,a(flip)),flip(a)]. 1465 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(72,a,1460,a(flip),b,471,a)]. 1466 K(x,1 / x) * x = T(x,x \ 1). [hyper(220,a,119,a,b,1464,a)]. 1468 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(220,a,1024,a(flip),b,1465,a(flip)),flip(a)]. 1469 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(66(a,1),1465(a,1,1,1)),flip(a)]. 1470 (x \ 1) * K(x,1 / x) = 1 / x. [para(1468(a,1),17(a,1,2))]. 1471 (1 / x) / K(x,1 / x) = x \ 1. [para(1468(a,1),63(a,1,2))]. 1473 R(1 / x,x,1 / x) = x \ 1. [hyper(577,a,1471,a)]. 1474 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1473(a,1),306(a,1,1)),flip(a)]. 1475 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1474(a,1),139(a,1,1))]. 1476 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1463(a,1),609(a,1,2))]. 1477 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(66(a,1),1461(a,1,1,1,1)),flip(a)]. 1479 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(585,a,1462,a),flip(a)]. 1480 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(155(a,1),1479(a,1,1)),flip(a)]. 1481 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(220,a,633,a,b,1457,a),flip(a)]. 1482 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1481(a,2,1)),flip(a)]. 1483 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1482,a)]. 1484 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1482(a,1),118(a,1,2)),flip(a)]. 1485 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1482(a,1),213(a,1,2))]. 1486 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1483(a,1),346(a,1,2)),flip(a)]. 1487 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(118(a,1),1435(a,1,2)),flip(a)]. 1488 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(87,a,1487,a)]. 1490 (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. [para(119(a,2),1487(a,2,2,1,2)),flip(a)]. 1491 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(988(a,1),1488(a,1,1,2,1))]. 1492 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(155(a,1),1480(a,1,1)),flip(a)]. 1493 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1492(a,1),1122(a,1,1))]. 1494 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1493(a,1),1112(a,1,1,1))]. 1495 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(220,a,17,a(flip),b,1486,a)]. 1497 T(x,K(x \ 1,y)) = x. [hyper(86,a,1495,a)]. 1498 T(1 / x,K(x,y)) = 1 / x. [para(66(a,1),1497(a,1,2,1))]. 1502 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1498(a,1),651(a,1,1)),flip(a)]. 1503 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(220,a,304,a(flip),b,1502,a)]. 1504 T(x / y,K(y / x,z)) = x / y. [para(14(a,1),1503(a,1,1,1))]. 1505 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1504(a,1),175(a,1,1)),flip(a)]. 1506 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(220,a,1429,a,b,1411,a(flip)),flip(a)]. 1507 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1411(a,1,2,2,1,2,2))]. 1508 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1411(a,1,2,2,1,2,2)),flip(a)]. 1509 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(259(a,1),1411(a,2,1,2,1))]. 1510 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1411(a,1,2,2,1,2)),flip(a)]. 1512 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(804,a,1494,a)]. 1513 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(160,a,1508,a,b,17,a),flip(a)]. 1515 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(755(a,1),1508(a,1,1)),flip(a)]. 1516 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1508(a,1,1))]. 1517 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(905(a,1),1512(a,1,2,1))]. 1518 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1512(a,1),1392(a,1,2))]. 1519 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1517(a,1),1389(a,1,1))]. 1520 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(214,a,1519,a)]. 1522 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(220,a,1518,a,b,1520,a(flip)),flip(a)]. 1523 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1517(a,2),1522(a,1,2))]. 1524 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(55(a,1),1516(a,2,2,2,1,2))]. 1526 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(118(a,1),1524(a,2,2))]. 1527 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(257(a,1),1524(a,2,2))]. 1528 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,114,a(flip),b,1526,a)]. 1529 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(18(a,1),1527(a,1,1,1))]. 1531 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1528(a,1),23(a,1)),flip(a)]. 1532 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(349(a,1),1438(a,1,2)),flip(a)]. 1533 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(349(a,1),1532(a,1,2)),flip(a)]. 1534 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1533(a,1),49(a,1,1)),flip(a)]. 1535 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1533(a,1),1343(a,1,1))]. 1536 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(175(a,1),1535(a,1,2))]. 1537 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(220,a,1434,a(flip),b,1536,a)]. 1538 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(180(a,1),1491(a,1,1))]. 1540 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1230(a,2,2,1,2,2))]. 1542 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1353(a,2),1540(a,1,2))]. 1543 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1542(a,1,2,2,1,2)),flip(a)]. 1544 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1264(a,2,1))]. 1545 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1269(a,1,2,1)),flip(a)]. 1546 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1246(a,1),1545(a,1,2))]. 1547 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(78,a,1546,a)]. 1552 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(931(a,1),1358(a,1,2,1))]. 1553 (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. [para(792(a,1),1490(a,2,1))]. 1554 (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. [para(99(a,1),1553(a,2,1))]. 1555 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(118(a,1),1515(a,1,2)),flip(a)]. 1556 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1049(a,2),1515(a,1,2)),flip(a)]. 1557 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(220,a,1419,a,b,1555,a(flip)),flip(a)]. 1558 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(67(a,1),1557(a,1,1))]. 1560 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(16(a,1),1558(a,2,2,1,2)),flip(a)]. 1561 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1560(a,1,2,1)),flip(a)]. 1563 ((x \ 1) * y) \ T((x \ 1) * y,x) != z | L(K(x \ y,x),y,x \ 1) = z. [para(1560(a,1),682(a,1,2))]. 1564 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1561(a,1),118(a,1,2)),flip(a)]. 1565 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(220,a,180,a(flip),b,1564,a)]. 1567 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(60(a,1),1556(a,1,1,2,1,2)),flip(a)]. 1568 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(15(a,1),1567(a,2,1,2,1))]. 1570 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(20,a,224,a(flip),b,1568,a)]. 1572 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(220,a,1446,a(flip),b,842,a(flip)),flip(a)]. 1574 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1572(a,1),588(a,1,1))]. 1575 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(220,a,176,a(flip),b,1574,a(flip))]. 1576 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1575(a,1),1357(a,1,2))]. 1577 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(298(a,1),980(a,1,2)),flip(a)]. 1578 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1577(a,1),801(a,1,2,1))]. 1579 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1577(a,1),1353(a,2,2,1)),flip(a)]. 1580 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1101(a,1),211(a,1))]. 1581 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(220,a,392,a(flip),b,1139,a)]. 1582 T(x,x * (y * T(y \ 1,x))) = x. [para(1581(a,1),356(a,1,2))]. 1583 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1581(a,1),1046(a,1,1)),flip(a)]. 1585 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1169(a,1),1582(a,1,2,2))]. 1586 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(953(a,1),1585(a,1,2,2,2,2))]. 1587 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1586(a,1,2,2,2))]. 1588 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1587(a,1),41(a,1,1)),flip(a)]. 1589 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(220,a,900,a(flip),b,1588,a(flip)),flip(a)]. 1590 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1589(a,1),63(a,1,2))]. 1591 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1284(a,1),1589(a,1,1,2,1))]. 1592 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1128,a,1590,a)]. 1593 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1126,a,1590,a)]. 1594 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1590(a,2),617(a,1,2))]. 1595 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1593(a,1),344(a,1,1)),flip(a)]. 1596 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(220,a,1284,a(flip),b,1591,a)]. 1597 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1298(a,1),528(a,1,1))]. 1604 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(125(a,1),1059(a,1,2,1,2))]. 1606 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(586(a,1),1187(a,1,1)),flip(a)]. 1607 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(35(a,2),1214(a,1,2,1,1)),flip(a)]. 1608 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(742(a,1),1607(a,1,2))]. 1609 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(220,a,1513,a(flip),b,1608,a(flip))]. 1610 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(16(a,1),1609(a,1,2,1,2)),flip(a)]. 1611 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(155(a,1),1610(a,1,1,2,1,2)),flip(a)]. 1612 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(143(a,1),1611(a,1,2,1,2))]. 1613 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1247,a,1612,a),flip(a)]. 1614 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(213,a,1612,a),flip(a)]. 1615 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(78,a,1612,a)]. 1618 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(191(a,1),1613(a,2,1,2))]. 1619 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(257(a,1),1613(a,1,1)),flip(a)]. 1620 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(810(a,1),1613(a,1,1))]. 1621 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(887(a,2),1613(a,1,1)),flip(a)]. 1622 L(x,T(x,y) \ 1,T(x,y)) = x * T(K(x \ 1,x),y). [para(1619(a,1),1275(a,2,2))]. 1623 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,2),1618(a,1,2))]. 1624 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1453(a,1),1620(a,2,1,2,2))]. 1625 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1440(a,1),1615(a,1,2,1,2)),flip(a)]. 1626 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(220,a,1620,a,b,1624,a)]. 1627 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1626(a,1),634(a,1,1)),flip(a)]. 1628 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1625(a,2,2,1))]. 1630 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(143(a,1),1628(a,2,2))]. 1632 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(220,a,634,a(flip),b,1627,a)]. 1633 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),1632(a,2,1))]. 1634 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),1633(a,1,1))]. 1636 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [hyper(220,a,864,a(flip),b,1231,a(flip))]. 1637 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(15(a,1),1231(a,1,2,1,2)),flip(a)]. 1643 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(18(a,1),1363(a,1,1,2,1,1)),flip(a)]. 1645 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(160,a,1643,a(flip),b,862,a(flip)),flip(a)]. 1646 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1643,a(flip),b,1053,a),flip(a)]. 1647 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1643(a,1,2,1,2))]. 1648 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1643(a,1,2,1)),flip(a)]. 1651 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1648(a,1,1,2,1))]. 1653 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(496,a,1651,a)]. 1654 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(320,a,1651,a),flip(a)]. 1655 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,1651,a)]. 1656 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(72,a,90,a(flip),b,1651,a)]. 1657 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1654,a)]. 1658 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1657(a,1),214(a,1,1)),flip(b)]. 1659 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1653(a,1),274(a,1,2)),flip(b)]. 1660 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1655(a,1),886(a,1,1)),flip(a)]. 1661 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(220,a,753,a(flip),b,1660,a(flip)),flip(a)]. 1662 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1660(a,1),536(a,1,2))]. 1663 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,57,a(flip),b,1662,a)]. 1665 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(220,a,567,a(flip),b,1663,a(flip)),flip(a)]. 1666 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1645(a,1,2,1,2)),flip(a)]. 1669 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(143(a,1),1666(a,2,2,1,2))]. 1670 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1669,a)]. 1671 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1669(a,1),1426(a,2,2,1))]. 1672 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(66(a,1),1670(a,1,2,2,1))]. 1673 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(545(a,1),1670(a,1,2))]. 1674 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(985(a,1),1670(a,1,2))]. 1675 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1674(a,1),41(a,1,1)),flip(a)]. 1676 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1672(a,1),615(a,1,1,2))]. 1677 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1673(a,1),665(a,1,1))]. 1680 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(867,a,1647,a)]. 1684 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(220,a,120,a(flip),b,1661,a)]. 1685 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1684(a,1),17(a,1,2))]. 1686 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(72,a,14,a(flip),b,1685,a)]. 1687 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(304(a,1),1686(a,1,1)),flip(a)]. 1688 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(304(a,1),1687(a,1,2)),flip(a)]. 1690 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(63(a,1),1688(a,1,1)),flip(a)]. 1693 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(63(a,1),1690(a,1,2)),flip(a)]. 1694 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1693(a,1),1228(a,1,2,1,2))]. 1699 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1676(a,1),993(a,1,1))]. 1700 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(220,a,176,a(flip),b,1699,a(flip)),flip(a)]. 1704 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(548(a,1),1671(a,2,2))]. 1705 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(548(a,1),1704(a,1,1,2))]. 1706 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(151(a,1),1705(a,1,1,2))]. 1707 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(151(a,1),1706(a,2,2))]. 1708 T(x,x * (y / (x * y))) = x. [hyper(38,a,1707,a)]. 1709 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1708(a,1,2,2,2))]. 1710 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1709(a,1),175(a,1,1)),flip(a)]. 1711 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(220,a,120,a(flip),b,1710,a)]. 1712 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1711(a,1),1224(a,2,1,2))]. 1713 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1647(a,1),1680(a,1,2)),flip(a)]. 1714 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(985(a,1),1713(a,1,1)),flip(a)]. 1715 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1712(a,2,1))]. 1716 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(220,a,60,a(flip),b,1715,a)]. 1718 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1716(a,1),976(a,1,1)),flip(a)]. 1719 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(39,a,1718,a)]. 1721 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1719(a,1,1,2))]. 1722 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1721(a,1,2,2))]. 1723 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1722,a)]. 1724 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(220,a,1002,a(flip),b,1723,a(flip)),flip(a)]. 1727 L(x \ 1,x,x \ 1) = 1 / x. [para(128(a,1),1724(a,1,3))]. 1728 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(151(a,2),1724(a,1,3))]. 1729 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1724(a,1),297(a,1,2))]. 1730 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1727(a,1),302(a,1,2))]. 1731 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1727(a,1),1372(a,1,1,2)),flip(a)]. 1732 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(220,a,179,a,b,1730,a)]. 1733 T(1 / (1 / x),x \ 1) = x. [hyper(160,a,1159,a,b,1730,a(flip))]. 1735 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1733(a,1),41(a,1,1)),flip(a)]. 1736 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1469,a,b,1732,a(flip)),flip(a)]. 1737 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1192,a(flip),b,1732,a(flip)),flip(a)]. 1738 K(x \ 1,x) * (1 / x) = x \ 1. [para(1732(a,1),19(a,1,1))]. 1740 x * K(x \ 1,x) = 1 / (1 / x). [para(1737(a,1),17(a,1,2))]. 1742 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1738(a,1),103(a,1,1))]. 1743 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1738(a,1),105(a,2,1))]. 1744 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1738(a,1),114(a,1,2))]. 1745 K(x \ 1,x) * K(x,1 / x) = x * (x \ 1). [para(1738(a,1),1100(a,2,2))]. 1746 L(x,x \ 1,x) = 1 / (1 / x). [hyper(692,a,1740,a)]. 1750 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1746(a,1),47(a,1,1)),flip(a)]. 1751 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1746(a,1),697(a,2,1,2))]. 1753 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1728(a,1),302(a,1,2))]. 1756 K(x \ 1,x) * K(x,1 / x) = 1. [hyper(220,a,17,a(flip),b,1745,a)]. 1758 K(x,1 / x) = K(x,x \ 1). [hyper(20,a,357,a,b,1756,a)]. 1760 K(x,x \ 1) = x * (1 / x). [hyper(340,a,1758,a),flip(a)]. 1761 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(220,a,1465,a,b,1758,a(flip)),flip(a)]. 1762 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(220,a,581,a,b,1758,a(flip)),flip(a)]. 1763 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(220,a,1736,a(flip),b,1758,a(flip))]. 1764 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1758,a(flip),b,182,a(flip))]. 1765 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(63(a,1),1758(a,1,2)),flip(a)]. 1766 K(x,x \ 1) != y | x * (1 / x) = y. [para(1758(a,1),340(a,1))]. 1768 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1758(a,1),1464(a,1,1))]. 1769 K(x,x \ 1) * x = T(x,x \ 1). [para(1758(a,1),1466(a,1,1))]. 1770 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1758(a,1),1470(a,1,2))]. 1771 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(220,a,1475,a,b,1760,a),flip(a)]. 1772 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1760,a,b,899,a)]. 1774 x \ K(x,x \ 1) != y | 1 / x = y. [para(1760(a,2),209(a,1,2)),flip(b)]. 1775 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1760(a,2),1306(a,1,2))]. 1776 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1760(a,2),1310(a,1,2))]. 1777 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)). [para(1764(a,1),1053(a,1,2,1)),flip(a)]. 1782 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1769(a,1),103(a,1,1))]. 1783 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1769(a,1),396(a,1,2,2))]. 1784 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1485,a,1770,a)]. 1785 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1784(a,1),448(a,1,1))]. 1786 K(1 / x,x) = K(x \ 1,x). [para(66(a,1),1763(a,1,2))]. 1787 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(63(a,1),1786(a,1,1)),flip(a)]. 1789 K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1. [para(1787(a,1),339(a,1,1)),flip(a)]. 1790 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1787(a,1),1097(a,1,2,1))]. 1791 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(220,a,1765,a(flip),b,1789,a(flip))]. 1793 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1750(a,1),1538(a,1,1))]. 1794 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1040,a,1753,a)]. 1795 T(1 / (1 / x),y / (x * y)) = x. [para(151(a,1),1794(a,1,2))]. 1796 T(x,y / (x * y)) = T(x,x \ 1). [para(1795(a,1),1735(a,1,1)),flip(a)]. 1797 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(220,a,119,a(flip),b,1796,a)]. 1798 T(x,(x \ y) / y) = T(x,x \ 1). [para(17(a,1),1796(a,1,2,2))]. 1799 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1796(a,1),1225(a,2,1))]. 1800 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1797(a,1,2,2))]. 1801 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(1798(a,1),118(a,1,2))]. 1803 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),1800(a,1,2))]. 1804 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1800(a,1),345(a,1,1))]. 1805 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,549,a(flip),b,1803,a(flip)),flip(a)]. 1806 L(x,T(x,y) \ 1,T(x,y)) = (y * (1 / (1 / T(x,y)))) / y. [para(155(a,1),1751(a,1,1))]. 1807 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1087,a,1804,a)]. 1809 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1760(a,2),1731(a,2,1))]. 1810 (x * (1 / (1 / T(y,x)))) / x = y * T(K(y \ 1,y),x). [hyper(220,a,1622,a(flip),b,1806,a(flip))]. 1811 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * ((1 / (1 / T(y,x))) \ 1). [para(1810(a,1),1025(a,1,2))]. 1812 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1729(a,1),1771(a,1,2))]. 1813 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1812(a,1),17(a,1,2)),flip(a)]. 1816 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(880,a,1742,a(flip))]. 1817 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1787(a,1),1790(a,2,1))]. 1818 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,1817,a)]. 1819 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1373(a,1,2,1,2,2))]. 1820 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(((x / y) * y) \ (z * y),u,w). [hyper(271,a,1819,a),flip(a)]. 1821 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(220,a,864,a(flip),b,1819,a(flip)),flip(a)]. 1822 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(220,a,739,a(flip),b,1819,a(flip))]. 1824 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(160,a,1819,a(flip),b,864,a(flip)),flip(a)]. 1825 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(14(a,1),1819(a,1,2,1,2))]. 1827 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1824(a,1,2,1,2)),flip(a)]. 1828 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1827,a,b,xx)]. 1829 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1828(a,1,2,1,2,1)),flip(a)]. 1832 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(220,a,864,a(flip),b,1825,a(flip)),flip(a)]. 1834 T(x,x * L(x \ 1,y,z)) = x. [hyper(160,a,739,a(flip),b,1825,a(flip))]. 1835 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(160,a,1825,a(flip),b,1637,a),flip(a)]. 1836 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(160,a,1825,a(flip),b,395,a(flip))]. 1838 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1834,a)]. 1839 T(x,x * ((y * x) \ y)) = x. [para(150(a,1),1834(a,1,2,2))]. 1840 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(298(a,1),1834(a,1,2,2))]. 1841 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(534(a,1),1834(a,1,2))]. 1842 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(834(a,1),1839(a,1,2,2,1))]. 1843 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1840(a,1),614(a,1,2)),flip(a)]. 1844 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1840(a,1),1171(a,2,2,2))]. 1845 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1841(a,1),665(a,1,1))]. 1846 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(38,a,1842,a)]. 1848 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1727(a,1),1832(a,2,1,2))]. 1849 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1809(a,1),1848(a,1,2))]. 1850 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(20,a,103,a(flip),b,1849,a)]. 1851 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1760(a,2),1849(a,2,1))]. 1852 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1851(a,1,2,2)),flip(a)]. 1853 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),22(a,1))]. 1854 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(35(a,2),1851(a,1,2,2))]. 1855 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),209(a,1,2)),flip(b)]. 1856 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1763(a,1),1851(a,1,2,1))]. 1857 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1765(a,1),1851(a,1,2,1))]. 1858 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1852(a,1),22(a,1)),flip(a)]. 1859 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1850(a,1),22(a,1)),flip(a)]. 1860 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,1835,a)]. 1861 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(220,a,296,a(flip),b,1835,a(flip))]. 1862 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1835(a,1),22(a,1))]. 1863 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(642(a,1),1835(a,2,1,2))]. 1865 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(298(a,1),1860(a,1,2,1,2))]. 1866 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(834(a,1),1861(a,2,2,1))]. 1867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(917(a,1),1863(a,1,2))]. 1868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(141(a,1),1867(a,2,1,2))]. 1869 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(739(a,1),1822(a,1,1))]. 1870 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(72,a,90,a(flip),b,1869,a)]. 1871 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(294(a,1),1869(a,1,1,2,2)),flip(a)]. 1872 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(294(a,1),1871(a,1,2,2)),flip(a)]. 1873 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1760(a,2),1872(a,1,1,2))]. 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1760(a,2),1873(a,2,2))]. 1875 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,90,a(flip),b,1874,a)]. 1876 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1875(a,1),120(a,1,1))]. 1880 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(220,a,225,a(flip),b,1844,a)]. 1882 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1880(a,1),976(a,1,1)),flip(a)]. 1883 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(220,a,1241,a(flip),b,1882,a(flip)),flip(a)]. 1884 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(322,a,1883,a)]. 1885 L(x \ 1,y \ (y * x),(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1884(a,1,1,1))]. 1886 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1884(a,1,3))]. 1887 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1884(a,1),1346(a,1,2)),flip(a)]. 1888 L(x \ 1,x,(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1885(a,1,2))]. 1889 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(16(a,1),1888(a,2,2))]. 1890 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1889(a,1),297(a,1,2))]. 1891 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1889(a,1),302(a,1,2))]. 1893 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(150(a,2),1890(a,1,1,1)),flip(a)]. 1894 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1891(a,1),1256(a,2,1,1,2)),flip(a)]. 1895 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(500,a,1893,a)]. 1896 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(220,a,150,a(flip),b,1886,a(flip)),flip(a)]. 1897 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(220,a,1760,a,b,1887,a)]. 1898 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1897(a,1),17(a,1,2)),flip(a)]. 1899 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(330(a,1),1856(a,1,2,2)),flip(a)]. 1900 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1765(a,1),1857(a,2,1))]. 1901 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,1900,a)]. 1902 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(220,a,1743,a,b,1901,a(flip)),flip(a)]. 1903 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1576(a,1),1866(a,1,1)),flip(a)]. 1904 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(259(a,1),1375(a,1,2,1,2)),flip(a)]. 1905 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(155(a,1),1904(a,1,1)),flip(a)]. 1906 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(155(a,1),1905(a,1,2)),flip(a)]. 1907 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1906(a,1),1359(a,1,2,1)),flip(a)]. 1908 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(18(a,1),1907(a,2,2))]. 1909 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1908(a,1),17(a,1,2))]. 1912 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(545(a,1),1646(a,2,2,1))]. 1913 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(19(a,1),1820(a,2,2,1,1))]. 1914 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(87,a,1913,a)]. 1915 ((x / y) * L((x / y) \ x,z,u)) * y = x * L(y,z,u). [para(16(a,1),1913(a,2,2,1))]. 1916 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1915,a),flip(a)]. 1917 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [para(66(a,1),1915(a,1,1,2,1))]. 1918 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(78,a,1917,a)]. 1920 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1917,a),flip(a)]. 1921 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(18(a,1),1917(a,1,1,1))]. 1922 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(269,a,1920,a),flip(a)]. 1923 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1920,a)]. 1924 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1920(a,1),105(a,2,1))]. 1925 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1920(a,1),617(a,1,2))]. 1926 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1923(a,1),1353(a,1,2)),flip(a)]. 1927 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [para(18(a,1),1918(a,1,1,1))]. 1929 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(496,a,1921,a)]. 1930 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(320,a,1921,a),flip(a)]. 1931 ((x * y) * L(y,z,u)) / y = x * L(y,z,u). [hyper(87,a,1921,a)]. 1932 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(160,a,1930,a,b,17,a)]. 1934 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1927(a,1),886(a,1,1)),flip(a)]. 1935 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1929(a,1),274(a,1,2)),flip(b)]. 1936 ((x * y) * (1 / (1 / y))) / y = x * L(y,y \ 1,y). [para(1746(a,1),1931(a,1,1,2))]. 1938 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1934(a,1),536(a,1,2))]. 1940 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1916(a,1),1834(a,1,2))]. 1941 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1940(a,1),354(a,1,1,2)),flip(a)]. 1942 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(220,a,296,a(flip),b,1922,a)]. 1943 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1942(a,1),19(a,1,1))]. 1944 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1942(a,1),66(a,1,1))]. 1945 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(220,a,150,a(flip),b,1943,a)]. 1946 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1943(a,1),29(a,2,1)),flip(a)]. 1947 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1945(a,1),236(a,1,1))]. 1948 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(17(a,1),1944(a,1,1,2,1))]. 1949 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(298(a,1),1948(a,1,2))]. 1950 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1949(a,1),63(a,1,2))]. 1951 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(14(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1952 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(19(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1953 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1951(a,1,1)),flip(a)]. 1954 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(((x * y) / y) \ (z / y),u,w). [para(18(a,1),1952(a,1,1)),flip(a)]. 1955 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1894(a,1,1,1))]. 1957 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(x \ (z / y),u,w). [para(18(a,1),1954(a,2,2,1,1))]. 1958 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [para(864(a,1),1957(a,1,1))]. 1959 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1958(a,1),120(a,1,1)),flip(a)]. 1960 x \ (x * (T(y,x) * L(T(y,x) \ z,u,w))) = T(y * L(y \ ((x * z) / x),u,w),x). [para(1636(a,2),1959(a,1,2))]. 1961 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(734,a,802,a),flip(a)]. 1963 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1961(a,1,2,1,2,2)),flip(a)]. 1964 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(720(a,1),1961(a,2,1))]. 1965 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(271,a,1963,a),flip(a)]. 1966 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1963(a,1),271(a,1))]. 1967 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(220,a,1061,a(flip),b,1965,a(flip)),flip(a)]. 1968 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1965,a(flip))]. 1969 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(160,a,1968,a,b,17,a),flip(a)]. 1971 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(437(a,2),1967(a,2,1,2,1)),flip(a)]. 1972 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(948(a,1),1966(a,1))]. 1973 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(271,a,1964,a),flip(a)]. 1974 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(220,a,1390,a(flip),b,1964,a(flip))]. 1977 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1964(a,1,2,1,2,2))]. 1979 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(220,a,1390,a(flip),b,1977,a(flip))]. 1980 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(220,a,1061,a(flip),b,1977,a(flip)),flip(a)]. 1981 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(220,a,1060,a(flip),b,1977,a(flip)),flip(a)]. 1982 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(160,a,1977,a(flip),b,1543,a(flip))]. 1985 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1977(a,1),1967(a,1,2)),flip(a)]. 1986 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(220,a,1353,a(flip),b,1982,a),flip(a)]. 1987 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1213(a,1),1979(a,1,1)),flip(a)]. 1988 (x * ((y * (x \ 1)) / y)) * y = x * (y * ((x \ y) / y)). [para(17(a,1),1980(a,1,2,2,1)),flip(a)]. 1989 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1986(a,2,1,2,1))]. 1990 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(346(a,2),1986(a,2,1,2,1)),flip(a)]. 1991 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(905(a,1),1989(a,1,2,1))]. 1992 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(20,a,1868,a,b,1991,a),flip(a)]. 1994 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1760(a,2),1991(a,2,1))]. 1995 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1992(a,1),919(a,1,1))]. 1996 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1994(a,1),1523(a,1,2))]. 1997 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1996(a,1),22(a,1))]. 1998 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(220,a,911,a(flip),b,1995,a(flip))]. 1999 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(220,a,120,a(flip),b,1995,a(flip))]. 2000 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(1999(a,2),915(a,1))]. 2005 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1977(a,1),1981(a,1,2)),flip(a)]. 2006 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1353(a,2),2005(a,1,1))]. 2007 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1213(a,1),1987(a,1,2)),flip(a)]. 2008 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2007,a)]. 2009 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2008(a,1),730(a,1,1))]. 2010 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(220,a,219,a(flip),b,2009,a(flip))]. 2011 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2010(a,1),588(a,1,1))]. 2012 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(220,a,120,a(flip),b,2011,a(flip))]. 2013 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(220,a,29,a,b,2012,a),flip(a)]. 2014 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),2013(a,2,1,2)),flip(a)]. 2015 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2014(a,1),19(a,1,1))]. 2017 x / (1 / (1 / x)) = K(x,1 / x). [para(1029(a,1),2014(a,1,1))]. 2018 K(x,1 / x) * (1 / (1 / x)) = x. [para(2017(a,1),19(a,1,1))]. 2019 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,2018,a)]. 2020 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1758(a,1),2018(a,1,1))]. 2021 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2019(a,1),43(a,2,1))]. 2022 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(78,a,2020,a)]. 2023 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(2020(a,1),31(a,2,2,2))]. 2024 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2020(a,1),105(a,2,1))]. 2025 T(1 / x,K(y,x)) = 1 / x. [hyper(161,a,2015,a)]. 2026 K(1 / x,K(y,x)) = 1. [hyper(39,a,2025,a)]. 2027 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2025(a,1),175(a,1,1)),flip(a)]. 2028 K(x,K(y,x \ 1)) = 1. [para(63(a,1),2026(a,1,1))]. 2029 T(x,K(y,x \ 1)) = x. [hyper(40,a,2028,a)]. 2030 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2029(a,1),172(a,1,2,1)),flip(a)]. 2031 T(x \ 1,K(y,x)) = x \ 1. [hyper(220,a,120,a(flip),b,2027,a)]. 2033 ((x \ 1) * K(y,x)) / (x \ 1) = K(y,x). [para(2031(a,1),135(a,1,2))]. 2034 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2031(a,1),300(a,2,1))]. 2035 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2031(a,1),1612(a,1,1)),flip(a)]. 2037 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(220,a,859,a,b,2021,a(flip)),flip(a)]. 2038 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(17(a,1),2034(a,1,1,1))]. 2039 T(x \ y,K(z,y \ x)) = x \ y. [hyper(220,a,298,a(flip),b,2038,a)]. 2040 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2039(a,1),118(a,1,2))]. 2041 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(220,a,1775,a(flip),b,2030,a(flip))]. 2045 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2037(a,1),17(a,1,2))]. 2046 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1853,a,2041,a)]. 2047 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1758(a,1),2045(a,1,1))]. 2048 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(220,a,1477,a(flip),b,2046,a)]. 2049 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2022(a,2),2047(a,1,2,1))]. 2050 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2049(a,1),1068(a,1,1))]. 2051 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1791(a,1),2050(a,1,2))]. 2052 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1791(a,1),2051(a,2,1,2))]. 2053 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1740(a,1),2052(a,2,1))]. 2055 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(220,a,392,a(flip),b,1140,a)]. 2056 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(834(a,1),2055(a,2,2))]. 2057 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2056(a,1),1185(a,1,1)),flip(a)]. 2058 ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). [para(118(a,1),1510(a,2,2))]. 2059 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(628(a,1),1510(a,1,1)),flip(a)]. 2060 ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). [para(119(a,2),2058(a,2,2,1,2,1))]. 2061 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1133(a,1),1594(a,1,1))]. 2062 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(930(a,1),2061(a,1,1))]. 2063 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1590(a,1),2062(a,1,2))]. 2064 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(220,a,43,a,b,2063,a(flip)),flip(a)]. 2065 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1587(a,1),2064(a,1,1))]. 2066 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(220,a,930,a,b,2065,a(flip)),flip(a)]. 2067 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2065(a,1),1409(a,1,2))]. 2068 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(220,a,1595,a(flip),b,2066,a(flip))]. 2069 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1098(a,1),1899(a,2,2))]. 2070 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(220,a,1310,a(flip),b,1946,a(flip)),flip(a)]. 2071 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(220,a,183,a(flip),b,2069,a)]. 2072 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1763(a,1),2071(a,1,1)),flip(a)]. 2073 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(118(a,1),2072(a,1,1)),flip(a)]. 2074 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(626(a,1),2070(a,1,2)),flip(a)]. 2077 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(35(a,2),1217(a,1,1,2,2,1,2)),flip(a)]. 2079 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),1431(a,2,2))]. 2080 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(59(a,1),1506(a,1,1)),flip(a)]. 2081 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(118(a,1),2080(a,1,1))]. 2083 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),2081(a,1,1,1)),flip(a)]. 2085 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2083(a,2),23(a,1))]. 2086 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1581(a,1),1583(a,1,2)),flip(a)]. 2087 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(220,a,16,a(flip),b,2086,a)]. 2089 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(810(a,1),2087(a,1,1,2)),flip(a)]. 2090 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(825(a,2),2087(a,1,1,2)),flip(a)]. 2091 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(965,a,2089,a),flip(a)]. 2092 K(x,y) / (y \ 1) = y * K(x,y). [hyper(853,a,2090,a)]. 2095 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(66(a,1),2092(a,1,2)),flip(a)]. 2103 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(985(a,1),1714(a,1,2,1)),flip(a)]. 2104 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(71,a,58,a(flip),b,2103,a),flip(a)]. 2106 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1250(a,2),1846(a,2,2,1))]. 2109 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(209,a,1960,a)]. 2111 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(19(a,1),1973(a,2,2,1,2,1))]. 2112 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2111,a)]. 2113 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(14(a,1),2112(a,1,1,2,1,2,2)),flip(a)]. 2114 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2031(a,1),2035(a,2,2,1,1))]. 2115 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(220,a,810,a(flip),b,2114,a)]. 2117 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(810(a,1),2115(a,1,1))]. 2118 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2117(a,1),634(a,1,1)),flip(a)]. 2119 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(220,a,633,a,b,2118,a)]. 2120 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),2119(a,1,1))]. 2121 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,2120,a)]. 2122 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2120(a,1),118(a,1,2)),flip(a)]. 2124 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2120(a,1),213(a,1,2))]. 2126 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2121(a,1),213(a,1,2))]. 2127 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2121(a,1),171(a,1,2,1)),flip(a)]. 2128 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2121(a,1),172(a,1,2,1)),flip(a)]. 2130 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2121(a,1),315(a,1,2,1))]. 2132 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1763(a,1),2048(a,1,1))]. 2133 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(874(a,1),2132(a,1,2))]. 2134 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2056(a,1),2057(a,1,2,1)),flip(a)]. 2135 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(315,a,2073,a),flip(a)]. 2137 T(x * ((1 / x) * ((1 / x) \ (x \ (y * K(x,x \ 1))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),2079(a,1,1,2,2,2,2,2))]. 2138 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(59(a,1),2137(a,1,1))]. 2139 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(856,a,2138,a),flip(a)]. 2140 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(120(a,1),2138(a,2,1))]. 2142 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(220,a,1876,a(flip),b,2140,a(flip)),flip(a)]. 2144 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(66(a,1),2142(a,1,2,2,2)),flip(a)]. 2145 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(814,a,2139,a)]. 2146 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(364(a,1),2139(a,1,1,1)),flip(a)]. 2147 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(16(a,1),2145(a,1,2,1)),flip(a)]. 2148 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2147(a,2),1854(a,1,2))]. 2149 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(364(a,1),2146(a,1,1)),flip(a)]. 2150 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2149(a,2),1099(a,1,2))]. 2151 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(213,a,2148,a)]. 2153 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2151(a,2),22(a,1)),flip(a)]. 2156 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(213,a,2150,a)]. 2157 L(x,y,K(x \ 1,x)) = x. [hyper(388,a,2156,a)]. 2158 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2157(a,1),43(a,2,1))]. 2159 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1580,a,2158,a)]. 2160 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(865(a,1),2159(a,1,2)),flip(a)]. 2161 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(330(a,1),2144(a,1,1)),flip(a)]. 2162 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1786(a,1),2161(a,1,2,2))]. 2163 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2135(a,2),2162(a,1,2))]. 2164 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(462,a,2163,a),flip(a)]. 2165 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1763(a,1),2164(a,1,2))]. 2166 R(x,y,K(x \ 1,x)) = x. [hyper(418,a,2165,a)]. 2167 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2166(a,1),216(a,1,1))]. 2170 (x * y) * R((x * y) \ (y * z),u,w) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(748(a,1),745(a,1,2))]. 2171 x * (R(1 / T(y,x),z,u) * T(y,x)) = (y * x) * R((y * x) \ x,z,u). [para(15(a,1),2170(a,1,2,1,2)),flip(a)]. 2172 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(542(a,1),2171(a,1,2))]. 2173 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(160,a,1647,a(flip),b,2172,a),flip(a)]. 2174 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(220,a,554,a,b,2173,a(flip))]. 2175 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(812(a,1),2174(a,2,1,2))]. 2176 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1456(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(21,a,1614,a(flip),b,2176,a)]. 2179 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2177(a,1),120(a,1,1))]. 2180 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(220,a,1630,a(flip),b,2179,a(flip))]. 2182 (x \ T(x,y)) * (T(x,y) \ 1) = x \ 1. [para(2180(a,1),17(a,1,2))]. 2183 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(815(a,1),2180(a,1,1))]. 2184 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2180(a,1),1570(a,1,2,2))]. 2185 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(2182(a,1),209(a,1,2)),flip(b)]. 2186 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(78,a,2184,a),flip(a)]. 2188 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(66(a,1),2183(a,1,2))]. 2189 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2188(a,1),63(a,1,2))]. 2190 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1246(a,2),2188(a,1,1))]. 2191 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1410(a,1),1262(a,2,1))]. 2192 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1414(a,1),2191(a,2,1,1))]. 2193 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(220,a,33,a,b,2192,a),flip(a)]. 2194 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2192(a,2),429(a,1))]. 2195 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2193,a),flip(a)]. 2196 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(60(a,1),2193(a,2,1,2))]. 2197 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(989(a,1),2193(a,2,1,2))]. 2198 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1246(a,1),2194(a,1))]. 2199 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(213,a,2195,a),flip(a)]. 2200 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2196(a,1),114(a,1,1))]. 2201 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(747,a,1270,a),flip(a)]. 2202 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(628(a,1),2201(a,2,2))]. 2203 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(388,a,2202,a)]. 2205 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2203,a),flip(a)]. 2206 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(60(a,1),2203(a,2,1,2))]. 2207 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(257(a,1),2203(a,1,1)),flip(a)]. 2208 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(810(a,1),2203(a,1,1))]. 2209 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1932(a,2),2207(a,1,1))]. 2210 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2157(a,1),2209(a,1,1,1,2)),flip(a)]. 2211 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(120(a,1),2210(a,2,1))]. 2212 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2211(a,1),103(a,1,2))]. 2213 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(18(a,1),2208(a,2,1,2))]. 2215 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(160,a,2212,a,b,xx)]. 2217 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(220,a,1941,a(flip),b,1925,a(flip)),flip(a)]. 2219 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2217(a,1),720(a,1,1)),flip(a)]. 2220 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(220,a,531,a(flip),b,2219,a)]. 2221 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(220,a,1926,a(flip),b,2220,a(flip))]. 2223 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1534(a,1),1043(a,1,1))]. 2224 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(740(a,1),1089(a,1,2)),flip(a)]. 2225 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),1279(a,1,2,1,1))]. 2226 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2205(a,1),1623(a,1,1))]. 2227 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(257(a,1),2226(a,1,1,1))]. 2228 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,1),2227(a,1,2))]. 2229 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(220,a,43,a,b,2228,a(flip)),flip(a)]. 2230 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1297(a,1),2229(a,2,1))]. 2231 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1912(a,1,1))]. 2232 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2231(a,1,2,1,1))]. 2235 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(220,a,1821,a(flip),b,2225,a)]. 2236 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(873(a,1),2235(a,2,1))]. 2237 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(220,a,425,a(flip),b,702,a)]. 2238 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(867,a,2237,a)]. 2239 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1442(a,1),2238(a,2,1,1))]. 2240 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(17(a,1),1597(a,1,2,1)),flip(a)]. 2242 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),1694(a,1,2,1)),flip(a)]. 2246 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(220,a,1846,a(flip),b,2106,a(flip))]. 2247 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2190(a,1),2246(a,1,2))]. 2248 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(220,a,1606,a(flip),b,2247,a(flip))]. 2249 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1834(a,1),2213(a,1,1,2)),flip(a)]. 2250 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(55(a,1),2249(a,2,1))]. 2251 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(220,a,381,a(flip),b,2250,a)]. 2254 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2251(a,1),234(a,1,2)),flip(a)]. 2255 ((x * L(x \ 1,y,z)) \ x) \ x = x * L(x \ 1,y,z). [hyper(71,a,15,a(flip),b,2254,a)]. 2256 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2255(a,1),86(a,1,2)),flip(b)]. 2257 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1665(a,1),1360(a,1,2,1))]. 2258 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(18(a,1),2257(a,1,2)),flip(a)]. 2260 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2189(a,1),1273(a,1,1,2))]. 2261 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(833(a,1),2260(a,1,1,2)),flip(a)]. 2262 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(838(a,1),2261(a,2,1))]. 2263 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(586(a,1),2262(a,1,1))]. 2264 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(714(a,1),1578(a,2,1))]. 2265 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(220,a,2224,a(flip),b,2264,a)]. 2266 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1950(a,1),1579(a,2,2,1))]. 2267 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(18(a,1),2266(a,2,2))]. 2268 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(220,a,2265,a(flip),b,2267,a(flip)),flip(a)]. 2270 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2268(a,1),17(a,1,2))]. 2271 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((1 / x) \ y,z,u)). [para(1764(a,1),1777(a,2,2,2,1,1))]. 2272 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * (R(y * x,z,u) / x). [para(983(a,1),2271(a,2,2))]. 2273 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(931(a,1),1990(a,2,2,1))]. 2274 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1361(a,1),2273(a,1,1)),flip(a)]. 2275 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(220,a,1552,a(flip),b,2274,a(flip)),flip(a)]. 2276 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(220,a,1758,a(flip),b,2275,a(flip)),flip(a)]. 2277 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,1903,a,b,2276,a),flip(a)]. 2278 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1760,a(flip),b,2277,a)]. 2279 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,2248,a(flip),b,2277,a(flip)),flip(a)]. 2280 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2278(a,1),17(a,1,2))]. 2281 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(191(a,1),2278(a,1,2))]. 2282 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(220,a,2263,a(flip),b,2279,a(flip))]. 2283 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1164(a,1),2281(a,1,1))]. 2284 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(2185,a,2283,a),flip(a)]. 2285 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2284(a,1),66(a,1,1)),flip(a)]. 2287 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(256(a,1),2284(a,1,2,1)),flip(a)]. 2288 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(220,a,560,a(flip),b,2285,a(flip))]. 2290 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2287(a,1),63(a,1,2))]. 2291 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(66(a,1),2288(a,2,1,1))]. 2292 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2288(a,2),118(a,1,2))]. 2293 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(120(a,1),2288(a,1,1,1)),flip(a)]. 2295 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(220,a,1740,a,b,2290,a(flip)),flip(a)]. 2297 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(629,a,2292,a)]. 2298 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(120(a,1),2292(a,1,2,1,1)),flip(a)]. 2299 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(441(a,1),2292(a,1,2,1,1)),flip(a)]. 2300 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(220,a,119,a,b,2297,a)]. 2301 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(220,a,912,a,b,2297,a(flip)),flip(a)]. 2302 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2293(a,1),155(a,1,1,2))]. 2306 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2301(a,1),17(a,1,2))]. 2308 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(573,a,2306,a)]. 2309 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1087,a,2298,a)]. 2312 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2309(a,2,1,1))]. 2313 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2312(a,2),255(a,1))]. 2314 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2313,a,1807,a),flip(a)]. 2315 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2314(a,1),118(a,1,2))]. 2318 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. [para(628(a,1),2060(a,1,1)),flip(a)]. 2319 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. [para(792(a,1),2318(a,2,1,2))]. 2320 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. [para(99(a,1),2319(a,2,1,2))]. 2321 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1166(a,1,2,1,1))]. 2322 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(867,a,2321,a),flip(a)]. 2323 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(860(a,1),2322(a,2,2))]. 2324 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(388,a,2323,a),flip(a)]. 2325 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(220,a,981,a(flip),b,2324,a(flip))]. 2326 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1845(a,1),2325(a,1,1,2)),flip(a)]. 2327 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(220,a,2206,a(flip),b,2326,a)]. 2328 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,179,a(flip),b,2327,a)]. 2330 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(66(a,1),2328(a,1,1))]. 2331 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(874(a,1),2330(a,1,2))]. 2332 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2331(a,1),19(a,1,1))]. 2333 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2256,a,2332,a)]. 2334 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1916(a,1),2333(a,1,1)),flip(a)]. 2335 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(220,a,1967,a(flip),b,1971,a)]. 2336 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1448(a,1),2197(a,1,1,2,1))]. 2337 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1675(a,1),2336(a,1,1,2)),flip(a)]. 2339 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(31(a,2),1347(a,2,2,1,1))]. 2340 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(863(a,1),2339(a,1,2))]. 2341 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(739(a,1),2340(a,1,2,2))]. 2342 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(396,a,2341,a),flip(a)]. 2344 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(642(a,1),2342(a,2,1,2))]. 2345 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1924(a,1),2342(a,1,2))]. 2346 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1301(a,1),2344(a,1,2))]. 2347 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(141(a,1),2346(a,2,1,2))]. 2348 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1760(a,2),2347(a,2,1))]. 2350 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(15(a,1),2345(a,1,2,2)),flip(a)]. 2351 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2221(a,1),2350(a,1,1)),flip(a)]. 2352 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(33(a,2),1365(a,2,2,1,1))]. 2353 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1643(a,1),2352(a,1,1))]. 2354 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1647(a,1),2353(a,1,1,1))]. 2355 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(429,a,2354,a),flip(a)]. 2356 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(220,a,992,a(flip),b,2355,a(flip))]. 2357 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(553(a,1),2355(a,2,1,2))]. 2358 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,2357,a(flip))]. 2359 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(14(a,1),2358(a,1,1,2,1)),flip(a)]. 2360 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1677(a,1),2356(a,1,1,2)),flip(a)]. 2361 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,2199,a(flip),b,2360,a)]. 2363 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(114(a,1),1368(a,1,1,1,2,2)),flip(a)]. 2364 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(220,a,720,a(flip),b,2363,a)]. 2365 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(220,a,1964,a(flip),b,2364,a)]. 2366 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(720(a,1),2365(a,1,1))]. 2367 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1977(a,1),2366(a,2,1))]. 2368 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,114,a,b,2367,a)]. 2369 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1354,a,2368,a),flip(a)]. 2370 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2368(a,1,2,1)),flip(a)]. 2371 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,1760,a,b,2370,a)]. 2372 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(987(a,1),2371(a,1,1,2,1))]. 2373 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1393(a,1,2,1,2,1))]. 2374 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(220,a,1060,a(flip),b,2373,a(flip))]. 2375 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1390(a,1),2374(a,2,2))]. 2376 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(388,a,2375,a),flip(a)]. 2377 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,2375,a)]. 2378 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2376(a,1,2,1)),flip(a)]. 2379 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,1760,a,b,2378,a)]. 2380 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1926(a,1),2379(a,1,1))]. 2381 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,2351,a,b,2380,a(flip)),flip(a)]. 2382 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1760,a(flip),b,2381,a)]. 2383 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(220,a,2334,a,b,2382,a(flip)),flip(a)]. 2384 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2383(a,1),63(a,1,2)),flip(a)]. 2385 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(63(a,1),2383(a,1,1,1,2)),flip(a)]. 2387 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(217(a,1),2384(a,2,2,2))]. 2389 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2385(a,1),66(a,1,1))]. 2390 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(150(a,1),2385(a,1,2)),flip(a)]. 2391 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2390(a,1),63(a,1,2)),flip(a)]. 2392 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(17(a,1),2391(a,2,2,2,1))]. 2393 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(63(a,1),2391(a,1,1))]. 2395 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(220,a,2270,a,b,2392,a(flip)),flip(a)]. 2396 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2392(a,1),694(a,1,1))]. 2397 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(20,a,1740,a,b,2395,a),flip(a)]. 2398 (x \ (x * y)) * K(L(y \ 1,y,x),x \ (x * y)) = 1 / (1 / (x \ (x * y))). [para(150(a,2),2395(a,1,2,1))]. 2399 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(220,a,580,a(flip),b,2397,a)]. 2400 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(160,a,2396,a,b,xx)]. 2401 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(21,a,1843,a,b,2396,a),flip(a)]. 2403 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1251(a,2),2400(a,1,1,2,2))]. 2404 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2400(a,1),2287(a,1,1)),flip(a)]. 2405 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),2404(a,1,2,2))]. 2406 1 / T(K(x,y),(x * y) \ (y * x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2404(a,1,2,1))]. 2407 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(2404(a,1),66(a,1,1)),flip(a)]. 2408 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(66(a,1),2404(a,1,2,2))]. 2409 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2407(a,1),1170(a,1,2)),flip(a)]. 2410 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1251(a,2),2407(a,1,1))]. 2411 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2407(a,2),2302(a,1,1,2))]. 2412 ((x \ (x / y)) \ 1) \ 1 != z | T(x \ (x / y),y) = z. [para(2408(a,1),207(a,1,1)),flip(b)]. 2413 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2401(a,1),1898(a,1,2)),flip(a)]. 2414 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(583,a,2411,a)]. 2415 T(x / y,y / x) = T(x / y,x \ y). [hyper(220,a,1800,a,b,2414,a),flip(a)]. 2418 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2415(a,1),175(a,1,1))]. 2419 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(220,a,175,a(flip),b,2418,a(flip))]. 2420 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(220,a,2407,a(flip),b,2419,a)]. 2421 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(63(a,1),2420(a,1,2))]. 2425 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2399(a,1),1172(a,1,2))]. 2427 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2397(a,1),2409(a,1,2))]. 2428 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2387(a,1),103(a,1,2))]. 2429 1 / T(K(x,y),K(y,x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2406(a,1,2,2))]. 2430 1 / T(K(x,y),K(y,x)) = K(x,y) \ 1. [para(29(a,2),2429(a,2,1))]. 2432 1 / K(x,y) = K(x,y) \ 1. [para(2120(a,1),2430(a,1,2))]. 2433 (K(x,y) \ 1) * K(x,y) = 1. [para(2432(a,1),19(a,1,1))]. 2434 1 / (1 / K(x,y)) = K(x,y). [para(2432(a,2),63(a,1,2))]. 2435 (K(x,y) \ 1) \ 1 = K(x,y). [para(2432(a,1),66(a,1,1))]. 2439 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2434(a,1),2287(a,1,1,1)),flip(a)]. 2442 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2434(a,1),2403(a,1,1))]. 2443 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(220,a,2442,a(flip),b,2410,a(flip))]. 2444 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2443(a,1),63(a,1,2))]. 2445 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(220,a,2186,a,b,2444,a),flip(a)]. 2446 x * K(L(x \ 1,x,y),y \ (y * x)) = 1 / (1 / (y \ (y * x))). [para(16(a,1),2398(a,1,1))]. 2447 1 / (1 / (x \ (x * y))) = y * K(L(y \ 1,y,x),y). [para(16(a,1),2446(a,1,2,2)),flip(a)]. 2448 x * K(L(x \ 1,x,y),x) = 1 / (1 / x). [para(16(a,1),2447(a,1,2,2)),flip(a)]. 2449 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(20,a,1740,a,b,2448,a)]. 2450 K((x * y) \ x,y) = K(y \ 1,y). [para(150(a,1),2449(a,1,1))]. 2452 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(118(a,1),2450(a,1,1,1)),flip(a)]. 2453 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [para(2450(a,1),98(a,1,2))]. 2455 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(35(a,1),2452(a,2,2)),flip(a)]. 2456 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(220,a,295,a,b,2453,a)]. 2458 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2455(a,1),2427(a,1,2)),flip(a)]. 2459 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(220,a,1895,a,b,2456,a)]. 2460 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,2133,a,b,2459,a),flip(a)]. 2461 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(179(a,1),2460(a,1,1))]. 2462 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,1869,a,b,2461,a(flip)),flip(a)]. 2463 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(21,a,2453,a(flip),b,2462,a),flip(a)]. 2464 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(150(a,1),2463(a,2,2,2)),flip(a)]. 2465 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(220,a,15,a,b,2464,a)]. 2467 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1947,a,2465,a(flip))]. 2468 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2467,a(flip),b,2074,a(flip)),flip(a)]. 2470 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(220,a,119,a,b,2468,a)]. 2471 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2468,a(flip),b,1955,a),flip(a)]. 2474 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(220,a,1761,a(flip),b,2471,a)]. 2476 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),2474(a,1,2,1)),flip(a)]. 2477 K(x,y \ (y / x)) = K(x,x \ 1). [para(19(a,1),2474(a,1,2,1))]. 2479 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2474(a,1),2425(a,1,2))]. 2481 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(220,a,581,a,b,2477,a(flip)),flip(a)]. 2483 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2476(a,1),2413(a,1,2))]. 2484 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2468(a,1),2479(a,2,2))]. 2485 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2470(a,1),2479(a,2,2))]. 2487 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(271,a,2484,a),flip(a)]. 2488 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(220,a,1874,a,b,2484,a(flip)),flip(a)]. 2489 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(118(a,1),2484(a,1,1))]. 2491 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(271,a,2485,a),flip(a)]. 2492 x * K(x,x \ 1) = T(x,x \ 1). [hyper(2153,a,2485,a(flip))]. 2493 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(71,a,2485,a(flip),b,1874,a)]. 2494 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(220,a,2300,a,b,2492,a),flip(a)]. 2495 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2492(a,1),33(a,2,1,1)),flip(a)]. 2496 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1997,a,2494,a)]. 2497 T(x,K(y,y \ 1)) = x. [hyper(38,a,2496,a)]. 2498 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2496,a(flip),b,1994,a)]. 2499 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2496(a,1),118(a,1,2)),flip(a)]. 2501 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2496(a,1),213(a,1,2))]. 2505 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2497(a,1),162(a,1,2))]. 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2497(a,1),213(a,1,2))]. 2508 T(x,K(y \ 1,y)) = x. [para(1763(a,1),2497(a,1,2))]. 2513 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2085,a,2508,a),flip(a)]. 2515 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(38,a,2508,a)]. 2516 (x * K(y \ 1,y)) / x = K(y \ 1,y). [hyper(72,a,2215,a(flip),b,2508,a(flip))]. 2518 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2508(a,1),213(a,1,2))]. 2521 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(220,a,1619,a,b,2515,a(flip)),flip(a)]. 2522 T((x \ 1) * x,y) = K(x \ 1,x). [para(179(a,1),2515(a,1,1))]. 2523 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2515(a,1),213(a,1,2))]. 2525 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2515(a,1),2230(a,1,1))]. 2526 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(220,a,2485,a(flip),b,2499,a)]. 2527 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(220,a,2484,a(flip),b,2499,a)]. 2528 (K(x,x \ 1) * y) / z = (y * K(x,x \ 1)) / z. [hyper(72,a,2499,a,b,19,a)]. 2530 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2499(a,2),33(a,2,2)),flip(a)]. 2531 R(x,K(y,y \ 1),z) * (K(y,y \ 1) * z) = (K(y,y \ 1) * x) * z. [para(2499(a,2),114(a,2,1))]. 2533 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,y,K(z \ 1,z)). [hyper(71,a,2513,a,b,94,a)]. 2534 (K(x \ 1,x) * y) * z = (y * K(x \ 1,x)) * z. [hyper(25,a,2513,a)]. 2535 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(24,a,2513,a)]. 2537 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2513(a,1),22(a,2))]. 2539 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2513(a,2),537(a,1,1))]. 2540 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2513(a,1),654(a,1,2))]. 2541 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * T(y,K(z \ 1,z))) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2513(a,2),163(a,1,2,1))]. 2542 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2515(a,2),2513(a,2,2)),flip(a)]. 2543 K(x \ (x / ((y * x) / y)),x) = K(x \ 1,x). [hyper(220,a,1276,a,b,2516,a(flip)),flip(a)]. 2544 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2516(a,1),271(a,1,1,1))]. 2547 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2521(a,1),1252(a,1,1))]. 2548 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2521(a,2),1740(a,1,2))]. 2549 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2288(a,1),2487(a,1,2))]. 2550 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2306,a(flip),b,2488,a),flip(a)]. 2552 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2488(a,1),23(a,1))]. 2554 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1768(a,2),2488(a,2,2))]. 2555 L(x,K(x,x \ 1),y) = x. [hyper(1783,a,2493,a)]. 2557 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2555(a,1),2384(a,2,2,2))]. 2559 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(220,a,1801,a(flip),b,2526,a)]. 2562 K(x,x \ 1) * (y * x) != z | y * T(x,x \ 1) = z. [para(2527(a,2),573(a,1))]. 2563 L(K(x \ 1,x),y,z) * (z * y) = z * (K(x \ 1,x) * y). [para(2542(a,1),526(a,1,2)),flip(a)]. 2567 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(220,a,2023,a(flip),b,2557,a(flip)),flip(a)]. 2569 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2567(a,1),266(a,1,2)),flip(a)]. 2572 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2481(a,1),2483(a,1,2))]. 2575 x \ ((K(y \ 1,y) * z) * u) = x \ ((z * K(y \ 1,y)) * u). [hyper(71,a,2534,a,b,17,a)]. 2576 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [hyper(71,a,2534,a(flip),b,103,a)]. 2577 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2534(a,2),31(a,2,1)),flip(a)]. 2580 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(20,a,1909,a,b,2550,a),flip(a)]. 2581 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(220,a,2496,a,b,2580,a),flip(a)]. 2583 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2581(a,1),146(a,1)),flip(b)]. 2584 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2282(a,1),2581(a,1,1))]. 2585 R(x,K(y,y \ 1),y) = x. [hyper(418,a,2554,a)]. 2586 R(x,K(y \ 1,y),1 / y) = x. [para(1763(a,1),2585(a,1,2))]. 2587 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2586(a,1),1744(a,1,1)),flip(a)]. 2588 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(72,a,19,a(flip),b,2587,a),flip(a)]. 2589 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,1155,a(flip),b,2587,a)]. 2591 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2523,a,2588,a)]. 2593 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1531,a,2589,a)]. 2594 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1022,a,2589,a)]. 2596 R(x / (1 / y),y \ 1,y) = x * y. [hyper(984,a,2593,a)]. 2597 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(876,a,2593,a),flip(a)]. 2598 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2593(a,1),19(a,1,1))]. 2599 R((x * (y / (1 / z))) / x,z \ 1,z) = (x * (y * z)) / x. [hyper(220,a,732,a(flip),b,2597,a(flip))]. 2603 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2014(a,1),2596(a,1,1)),flip(a)]. 2605 R(x / (1 / y),y \ 1,y) != z | x * y = z. [para(2598(a,1),271(a,1))]. 2606 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2587(a,1),2598(a,1,1)),flip(a)]. 2608 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1005(a,1),2606(a,2,1))]. 2610 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(220,a,2569,a(flip),b,2572,a(flip))]. 2611 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2569,a(flip),b,2572,a(flip)),flip(a)]. 2613 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(63(a,1),2610(a,1,2,2,2,2)),flip(a)]. 2614 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(63(a,1),2611(a,2,2,2,2))]. 2615 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2611(a,1),66(a,1,1))]. 2618 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2613(a,2,2,2,2))]. 2620 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(136(a,1),2615(a,1,1,2,2)),flip(a)]. 2622 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2393(a,2),2618(a,1,2))]. 2623 x / L(y,y \ 1,x) = x * (1 / y). [para(63(a,1),2622(a,2,2,2))]. 2625 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2623(a,1),66(a,1,1)),flip(a)]. 2626 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2623(a,2),580(a,1,1,2))]. 2628 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(220,a,153,a,b,2625,a),flip(a)]. 2629 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(220,a,2203,a,b,2626,a(flip)),flip(a)]. 2630 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(66(a,1),2629(a,1,2))]. 2632 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2620(a,1),66(a,1,1))]. 2633 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(2412,a,2632,a)]. 2634 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2633(a,2),17(a,1,2))]. 2637 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(220,a,973,a,b,2634,a(flip)),flip(a)]. 2638 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2637(a,1),1527(a,1,1))]. 2639 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2638(a,1,1)),flip(a)]. 2640 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(568(a,1),2638(a,1,1)),flip(a)]. 2641 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1067(a,1),2638(a,1,1)),flip(a)]. 2642 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(21,a,428,a,b,2639,a)]. 2643 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(21,a,1529,a(flip),b,2639,a)]. 2644 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2523,a,2640,a)]. 2645 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2640(a,1),23(a,1)),flip(a)]. 2646 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2640(a,1),2587(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2552,a,2643,a)]. 2648 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2488,a(flip),b,2643,a)]. 2649 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [hyper(220,a,2534,a,b,2643,a(flip)),flip(a)]. 2650 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2501,a,2647,a)]. 2652 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(21,a,2569,a,b,2647,a)]. 2653 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(21,a,2499,a(flip),b,2647,a)]. 2655 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(220,a,2534,a,b,2647,a(flip)),flip(a)]. 2656 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(71,a,2647,a(flip),b,2534,a)]. 2657 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(21,a,2534,a,b,2647,a(flip)),flip(a)]. 2660 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2589(a,1),2647(a,1,1))]. 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2648(a,1),2537(a,2)),flip(b)]. 2666 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(220,a,2535,a,b,2650,a(flip)),flip(a)]. 2667 K(x \ 1,x) * (y * K(x,x \ 1)) = T(y,K(x,x \ 1)). [hyper(160,a,2650,a(flip),b,2535,a),flip(a)]. 2668 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(71,a,2650,a(flip),b,2535,a)]. 2669 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(20,a,2535,a,b,2650,a(flip)),flip(a)]. 2671 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2650(a,1),105(a,2,2))]. 2673 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2589(a,1),2650(a,1,2))]. 2674 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(71,a,2653,a(flip),b,2513,a)]. 2675 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2653(a,1),23(a,1)),flip(a)]. 2677 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2653(a,1),2537(a,2)),flip(b)]. 2678 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2653(a,1),2587(a,1,1)),flip(a)]. 2679 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(21,a,1813,a(flip),b,2655,a)]. 2683 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2655(a,1),2505(a,2))]. 2688 K(x,x \ 1) * R(K(x \ 1,x) * (x * y),z,u) = x * (R(y * x,z,u) / x). [para(2668(a,1),2272(a,1,2,1))]. 2690 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2674(a,1),2236(a,1,2,1))]. 2693 (x * (1 / (1 / y))) / y = x * K(y \ 1,y). [para(18(a,1),2652(a,1,1)),flip(a)]. 2697 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2660(a,1),421(a,1,1))]. 2699 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(19(a,1),2673(a,1,2)),flip(a)]. 2700 (x * y) * K(y \ 1,y) = x * L(y,y \ 1,y). [hyper(220,a,1936,a(flip),b,2693,a(flip))]. 2701 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(431,a,2642,a)]. 2703 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(220,a,2597,a,b,2701,a)]. 2704 (x * (y \ 1)) * T(y,y \ 1) = R(x,1 / y,y). [hyper(781,a,2703,a)]. 2705 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1452(a,2),2703(a,1,3))]. 2707 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,1805,a(flip),b,2679,a)]. 2708 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1746(a,1),2700(a,2,2))]. 2711 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2523,a,2708,a)]. 2713 R(x / (y \ 1),1 / y,y) = x * T(y,y \ 1). [hyper(271,a,2704,a),flip(a)]. 2714 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2713(a,1),177(a,1,1))]. 2715 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2315(a,1),2646(a,1,1)),flip(a)]. 2717 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(220,a,2275,a,b,2584,a(flip))]. 2720 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(21,a,1768,a,b,2707,a),flip(a)]. 2721 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y \ 1,y) \ 1. [para(2720(a,1),1789(a,2,1))]. 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2583,a,2717,a)]. 2724 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(191(a,1),2722(a,2,2))]. 2725 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(220,a,2282,a(flip),b,2724,a(flip)),flip(a)]. 2732 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(833(a,1),2630(a,1,1))]. 2733 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(220,a,716,a(flip),b,2732,a(flip))]. 2734 T(K(1 / (1 / x),y),x) = K(x,y). [para(2733(a,2),154(a,1,1))]. 2736 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(191(a,1),2734(a,1,1,1,2))]. 2737 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(63(a,1),2736(a,1,1,1))]. 2738 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(220,a,1634,a(flip),b,2737,a(flip))]. 2739 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(119(a,1),2738(a,1,1)),flip(a)]. 2744 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2282(a,1),2489(a,1,2))]. 2745 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(220,a,2292,a(flip),b,2744,a)]. 2746 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2725(a,1),2745(a,1,2))]. 2747 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(63(a,1),2705(a,2,2))]. 2748 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(119(a,2),2747(a,1,2))]. 2750 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(192(a,1),2549(a,1,1)),flip(a)]. 2751 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y,y \ 1). [hyper(220,a,339,a(flip),b,2721,a)]. 2752 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(220,a,1765,a(flip),b,2751,a(flip)),flip(a)]. 2753 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2752(a,1),1799(a,1,1))]. 2754 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(555,a,2753,a),flip(a)]. 2755 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(220,a,240,a(flip),b,2753,a)]. 2756 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(220,a,1852,a(flip),b,2753,a(flip)),flip(a)]. 2757 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2753,a(flip),b,1852,a(flip))]. 2758 L(x,y,K(y,y \ 1)) = x. [hyper(20,a,1782,a,b,2753,a(flip)),flip(a)]. 2761 K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x). [para(118(a,1),2753(a,1,2))]. 2765 L(x,1 / y,K(y \ 1,y)) = x. [para(1763(a,1),2758(a,1,3))]. 2766 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(220,a,1902,a(flip),b,2765,a(flip)),flip(a)]. 2767 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(220,a,1743,a(flip),b,2765,a(flip)),flip(a)]. 2768 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1762(a,1),2765(a,1,3))]. 2769 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2765(a,1),1742(a,1,2)),flip(a)]. 2770 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2765(a,1),1816(a,1,1,2))]. 2771 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(220,a,2024,a(flip),b,2768,a(flip)),flip(a)]. 2773 (1 / x) * (x * y) = L(y,x,x \ 1). [para(16(a,1),2770(a,1,1)),flip(a)]. 2774 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(35(a,2),2770(a,1,1))]. 2775 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(331(a,1),2770(a,1,1))]. 2776 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2770(a,1),529(a,1,2))]. 2777 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(2770(a,1),508(a,1,2))]. 2778 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2770(a,1),2160(a,1,2))]. 2780 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,2773,a)]. 2781 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2773(a,1),237(a,1,1))]. 2784 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(926,a,2754,a),flip(a)]. 2785 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(592,a,2754,a)]. 2786 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(71,a,2650,a(flip),b,2754,a),flip(a)]. 2787 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2683,a,2755,a)]. 2788 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2506,a,2755,a)]. 2795 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2499(a,1),2756(a,1,2))]. 2796 R(x,K(x,x \ 1),y) = x. [hyper(220,a,2495,a(flip),b,2757,a(flip)),flip(a)]. 2798 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1763(a,1),2796(a,1,2))]. 2799 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2798(a,1),2195(a,1,1)),flip(a)]. 2800 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2677,a,2766,a)]. 2803 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2766(a,1),1900(a,1,2))]. 2806 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y. [para(2767(a,2),17(a,1,2))]. 2807 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2767(a,1),1509(a,1,2,2,1,2))]. 2808 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2677,a,2769,a)]. 2809 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2518,a,2769,a)]. 2810 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2769(a,1),33(a,2,2)),flip(a)]. 2812 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2769(a,1),390(a,1,1))]. 2815 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1855,a,2771,a)]. 2817 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2771(a,1),17(a,1,2))]. 2818 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1435(a,1),2777(a,1,2))]. 2819 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2683,a,2784,a)]. 2821 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(119(a,1),2784(a,1,2,1))]. 2822 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(71,a,2666,a(flip),b,2785,a),flip(a)]. 2823 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(20,a,1098,a,b,2787,a)]. 2826 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(20,a,2746,a,b,2788,a),flip(a)]. 2828 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(220,a,2724,a,b,2826,a(flip)),flip(a)]. 2832 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(71,a,2828,a(flip),b,1760,a(flip))]. 2835 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(220,a,2498,a(flip),b,2832,a(flip)),flip(a)]. 2836 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(220,a,1772,a(flip),b,2832,a(flip)),flip(a)]. 2837 (1 / T(x,y)) * x = T(x,y) \ x. [para(2835(a,1),19(a,1,1))]. 2839 T(1 / T(x,y),x) = T(x,y) \ 1. [para(2835(a,1),911(a,1,1))]. 2840 x / T(x,y) = T(x,y) \ x. [hyper(1120,a,2837,a)]. 2842 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(71,a,2840,a,b,905,a)]. 2843 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(220,a,1544,a,b,2840,a(flip)),flip(a)]. 2844 (T(x,y) \ x) * T(x,y) = x. [para(2840(a,1),19(a,1,1))]. 2845 (T(x,y) \ x) \ x = T(x,y). [para(2840(a,1),66(a,1,1))]. 2847 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2840(a,1),1592(a,1,1))]. 2848 L(x,T(x,y) \ x,x) = x. [hyper(220,a,2068,a,b,2844,a(flip)),flip(a)]. 2849 x / T(x,y) != z | T(x,y) \ x = z. [para(2844(a,1),272(a,1,1)),flip(b)]. 2851 (x * y) * T(K(y,x),x) = y * x. [para(2848(a,1),2067(a,1,2)),flip(a)]. 2852 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(220,a,2547,a,b,2839,a(flip)),flip(a)]. 2854 K(T(x,y) \ 1,x) = T(K(x \ 1,x),y). [para(2842(a,1),1619(a,1,1))]. 2855 x * K(T(x,y) \ 1,x) = 1 / (1 / x). [para(2842(a,1),2548(a,1,2,1))]. 2856 T(K(x,y),y) = K(x,y). [hyper(236,a,2851,a),flip(a)]. 2857 T(x,K(y,x)) = x. [hyper(38,a,2856,a)]. 2858 K(x,y) * y = y * K(x,y). [para(2856(a,1),118(a,1,2)),flip(a)]. 2859 (x * K(y,x)) / x = K(y,x). [para(2856(a,1),155(a,1,1,2))]. 2862 K(x,y) * y != z | y * K(x,y) = z. [para(2857(a,1),213(a,1,2))]. 2863 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2857(a,1),171(a,1,2,1)),flip(a)]. 2865 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2857(a,1),173(a,1,2,1)),flip(a)]. 2870 T(x,y \ T(y,x)) = x. [para(1251(a,1),2857(a,1,2))]. 2871 T(x,x \ ((y * x) / y)) = x. [para(1274(a,1),2857(a,1,2))]. 2874 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2870(a,1),118(a,1,2))]. 2875 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2870(a,1),171(a,1,2,1)),flip(a)]. 2876 (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). [hyper(220,a,1554,a,b,2858,a(flip)),flip(a)]. 2879 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2858(a,1),418(a,2,2))]. 2881 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(220,a,1078,a,b,2859,a(flip)),flip(a)]. 2884 ((x * y) / x) / y = y \ ((x * y) / x). [para(2871(a,1),191(a,1,2))]. 2888 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2852(a,1),19(a,1,1))]. 2890 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(220,a,1202,a,b,2884,a(flip)),flip(a)]. 2891 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(718(a,1),2884(a,1,1)),flip(a)]. 2892 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(279,a,2888,a)]. 2893 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2888(a,1),1015(a,1,2))]. 2894 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2892(a,1),2295(a,1,2))]. 2895 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2892(a,1),2458(a,2,2))]. 2896 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2892(a,1),2711(a,1,1))]. 2901 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1237(a,1),2800(a,1,2))]. 2904 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(220,a,2513,a(flip),b,2803,a)]. 2906 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1604(a,1),2803(a,1,2)),flip(a)]. 2907 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2806(a,1),1012(a,1,2)),flip(a)]. 2908 (1 / x) * ((x \ 1) \ y) = y * K(x,x \ 1). [para(2657(a,1),2806(a,1,2,2))]. 2909 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1859,a,2808,a)]. 2910 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,2808,a(flip),b,2699,a)]. 2911 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2808(a,1),134(a,1,1,2))]. 2912 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2808(a,1),396(a,1,2,2))]. 2914 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(872,a,2909,a)]. 2915 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(63(a,1),2914(a,1,2)),flip(a)]. 2917 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2506,a,2815,a)]. 2919 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(16(a,1),2817(a,1,2)),flip(a)]. 2921 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(220,a,559,a(flip),b,2819,a)]. 2922 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [para(139(a,1),2819(a,1,2)),flip(a)]. 2927 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1787(a,1),2822(a,1,2,1))]. 2928 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(71,a,2823,a(flip),b,2535,a(flip))]. 2929 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2823(a,1),29(a,2,1)),flip(a)]. 2931 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2865(a,1),22(a,1)),flip(a)]. 2933 (x \ 1) \ ((y * (x \ 1)) / y) = x * ((y * (x \ 1)) / y). [hyper(269,a,2890,a),flip(a)]. 2936 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2893(a,2),905(a,1,2))]. 2937 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2053,a,b,2894,a),flip(a)]. 2939 T(x,y) / x = x \ T(x,y). [hyper(78,a,2937,a),flip(a)]. 2940 (x \ T(x,y)) * x = T(x,y). [para(2937(a,1),67(a,1,1,2))]. 2941 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1084,a,2939,a)]. 2942 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(841,a,2939,a),flip(a)]. 2943 K(x \ (x / (1 / y)),x) = y \ T(y,x). [hyper(220,a,1250,a,b,2939,a(flip)),flip(a)]. 2944 (1 / x) * T(x,y) = x \ T(x,y). [hyper(220,a,834,a,b,2939,a(flip)),flip(a)]. 2945 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(220,a,1282,a(flip),b,2939,a(flip))]. 2946 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2939(a,1),214(a,1,1)),flip(b)]. 2947 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2939(a,1),115(a,1,1))]. 2948 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2939(a,1),2056(a,2,2))]. 2949 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2939(a,1),2134(a,1,1,2))]. 2950 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2939(a,1),2280(a,1,1))]. 2951 T(x,x \ T(x,y)) = x. [hyper(253,a,2940,a)]. 2952 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(220,a,1396,a,b,2940,a(flip)),flip(a)]. 2953 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2940(a,1),31(a,2,1)),flip(a)]. 2954 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(119(a,1),2940(a,1,1,2))]. 2955 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2940(a,1),103(a,1,1))]. 2956 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2940(a,1),429(a,1,1,1))]. 2957 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2940(a,1),788(a,1,1)),flip(a)]. 2958 K(x,x \ T(x,y)) = 1. [hyper(39,a,2951,a)]. 2959 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1251(a,2),2951(a,1,2))]. 2960 K(x,T(x,y) / x) = 1. [para(2939(a,2),2958(a,1,2))]. 2961 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2960,a(flip),b,969,a),flip(a)]. 2962 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(220,a,66,a(flip),b,2961,a)]. 2963 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(220,a,1286,a(flip),b,2961,a(flip)),flip(a)]. 2964 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2961(a,1),175(a,1,1)),flip(a)]. 2965 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2961(a,1),305(a,2,1))]. 2966 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2961(a,1),1253(a,1,1)),flip(a)]. 2967 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(220,a,1272,a(flip),b,2959,a(flip)),flip(a)]. 2968 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2962(a,1),1735(a,1,1)),flip(a)]. 2971 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2968(a,1),1537(a,1,1))]. 2972 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2968(a,1),2223(a,1,1,1))]. 2973 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(2943(a,1),1387(a,1,1))]. 2975 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2967(a,1),17(a,1,2))]. 2976 x / ((y * x) / y) = ((y * x) / y) \ x. [para(2967(a,1),63(a,1,2))]. 2977 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(987(a,1),2967(a,1,1,1,1))]. 2979 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(72,a,2976,a(flip),b,1201,a)]. 2980 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [para(2976(a,1),2543(a,1,1,2))]. 2983 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(155(a,1),2963(a,1,3,2))]. 2988 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(220,a,2535,a(flip),b,2907,a(flip)),flip(a)]. 2989 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2591(a,1),2907(a,1,2))]. 2992 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2644(a,1),2907(a,1,2)),flip(a)]. 2993 (1 / x) \ T(y * K(x,x \ 1),z) = x * T(x \ ((x \ 1) \ y),z). [para(2908(a,1),762(a,1,2,1))]. 2995 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(557,a,2915,a),flip(a)]. 2997 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2917(a,1),2488(a,1,1))]. 2998 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1858,a,2919,a),flip(a)]. 2999 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(20,a,2650,a,b,2919,a),flip(a)]. 3001 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2919(a,1),2678(a,1,1)),flip(a)]. 3002 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(220,a,1033,a(flip),b,2921,a(flip)),flip(a)]. 3003 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2921(a,1),2518(a,1))]. 3004 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2921(a,1),2649(a,1,1))]. 3005 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(220,a,887,a,b,2942,a),flip(a)]. 3006 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2942(a,1),633(a,2,1)),flip(a)]. 3008 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2964(a,1),2966(a,1,2)),flip(a)]. 3009 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(220,a,257,a(flip),b,3008,a)]. 3012 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3009(a,1),871(a,1,1,2))]. 3018 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2666(a,1),2998(a,1,2)),flip(a)]. 3020 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2397(a,1),2999(a,1,2))]. 3021 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2421(a,1),3002(a,1,2))]. 3026 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2892(a,1),3018(a,1,2,1))]. 3027 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2776(a,1),2975(a,1,1,1,1))]. 3029 T(x,y \ ((x * y) / x)) = x. [para(2945(a,1),2951(a,1,2))]. 3030 T(x,T(y,x) \ y) = x. [para(155(a,1),3029(a,1,2,2))]. 3031 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3030(a,1),118(a,1,2))]. 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(220,a,1284,a,b,3031,a(flip)),flip(a)]. 3034 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3031(a,1),1596(a,1,1,2,1))]. 3035 L(x,x \ T(x,y),x) = x. [hyper(220,a,63,a(flip),b,2957,a)]. 3037 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2928(a,1),2995(a,1,1))]. 3038 K(1 / x,y) = K(x \ 1,y). [hyper(220,a,2629,a(flip),b,3006,a(flip)),flip(a)]. 3039 K(1 / (1 / x),y) = K(x,y). [hyper(220,a,581,a(flip),b,3038,a)]. 3040 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(220,a,29,a(flip),b,3038,a),flip(a)]. 3041 K((x \ 1) \ 1,y) = K(x,y). [para(63(a,1),3038(a,1,1)),flip(a)]. 3043 T(K(x,y),x) = K(x,y). [para(3039(a,1),2734(a,1,1))]. 3044 T(x,K(x,y)) = x. [hyper(38,a,3043,a)]. 3046 K(x,y) * x = x * K(x,y). [para(3043(a,1),118(a,1,2)),flip(a)]. 3049 T(T(x,y),K(x,z)) = T(x,y). [para(3044(a,1),41(a,1,1)),flip(a)]. 3050 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3044(a,1),171(a,1,2,1)),flip(a)]. 3052 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3044(a,1),173(a,1,2,1)),flip(a)]. 3053 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(3044(a,1),243(a,1,1)),flip(a)]. 3056 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2389(a,1),3041(a,1,1)),flip(a)]. 3068 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3040(a,1),239(a,1))]. 3076 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(161,a,3052,a)]. 3078 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(2562,a,2761,a),flip(a)]. 3079 T(x,T(y,y \ 1)) = T(x,y). [hyper(160,a,2526,a(flip),b,2761,a(flip))]. 3083 T(x,(y \ 1) \ 1) = T(x,y). [para(119(a,1),3079(a,1,2))]. 3085 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1454(a,1),3079(a,1,2))]. 3087 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3083(a,1),118(a,1,2))]. 3091 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(592,a,3078,a)]. 3092 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3078(a,1),2337(a,2,1))]. 3093 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(220,a,2306,a(flip),b,3087,a)]. 3096 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3091(a,2),464(a,2,1))]. 3098 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2843(a,1),2031(a,1,2))]. 3099 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2843(a,1),2603(a,1,1,2)),flip(a)]. 3100 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,3098,a)]. 3101 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(161,a,2875,a)]. 3104 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2167,a,2936,a)]. 3105 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(592,a,2971,a)]. 3107 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2971(a,1),565(a,1,1))]. 3111 R(((x \ 1) * (y / (x \ 1))) / (1 / x),x \ 1,x) = ((1 / x) * (y * x)) / (1 / x). [para(2989(a,1),2599(a,1,1,1))]. 3112 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2308(a,1),2992(a,1,2)),flip(a)]. 3113 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2715,a,b,3001,a)]. 3116 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3004(a,2),358(a,1))]. 3118 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(66(a,1),3021(a,1,2,1,1,2)),flip(a)]. 3119 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(139(a,1),3021(a,1,2,1,1,2))]. 3121 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3104(a,1),2988(a,1,2)),flip(a)]. 3122 T(1 / (1 / x),y / (y * x)) = x. [hyper(160,a,3113,a,b,xx)]. 3124 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),3122(a,1,2,2))]. 3125 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3124(a,1),156(a,1,2,2))]. 3126 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3118(a,1),63(a,1,2))]. 3128 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1870(a,2),3125(a,1,2))]. 3130 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2298(a,2),3126(a,1,2))]. 3134 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),3130(a,1,2,1,1,1))]. 3135 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(220,a,1805,a,b,3134,a),flip(a)]. 3136 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(220,a,148,a,b,3135,a),flip(a)]. 3139 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2904(a,2),3037(a,1,1))]. 3140 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2775(a,2),2109(a,1,1))]. 3143 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [hyper(220,a,2513,a,b,2895,a)]. 3145 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2290(a,1),2896(a,2,2))]. 3146 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(2933(a,1),17(a,1,2))]. 3147 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(2933(a,1),1281(a,1,1)),flip(a)]. 3148 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2290(a,1),3026(a,2,1))]. 3151 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2000,a,3112,a),flip(a)]. 3152 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,1998,a(flip),b,3112,a(flip))]. 3153 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(20,a,250,a,b,3151,a)]. 3154 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(220,a,2445,a(flip),b,3152,a(flip)),flip(a)]. 3155 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(220,a,2186,a(flip),b,3152,a(flip)),flip(a)]. 3156 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3154(a,1),138(a,1,2,1))]. 3157 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2945(a,1),3154(a,1,2)),flip(a)]. 3158 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),3155(a,1,1,2))]. 3159 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(120(a,1),3155(a,1,1,2)),flip(a)]. 3160 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1402(a,1),3155(a,1,1,2)),flip(a)]. 3161 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2942(a,1),3155(a,1,1))]. 3162 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(120(a,1),3159(a,1,1)),flip(a)]. 3163 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),3162(a,1,1,2)),flip(a)]. 3164 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(887(a,2),3161(a,1,1)),flip(a)]. 3167 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3121(a,1),1565(a,1,1)),flip(a)]. 3168 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(119(a,1),3145(a,1,2,2))]. 3170 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,17,a(flip),b,3148,a),flip(a)]. 3171 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),3163(a,1,1)),flip(a)]. 3172 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3171(a,1),63(a,1,2))]. 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(220,a,3157,a,b,3172,a(flip)),flip(a)]. 3176 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(155(a,1),3174(a,2,1))]. 3179 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3176(a,1,1))]. 3180 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3170,a)]. 3182 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1765(a,1),3180(a,1,2))]. 3183 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2953(a,1),923(a,1,2)),flip(a)]. 3184 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),3183(a,1,1)),flip(a)]. 3185 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(220,a,2109,a,b,2955,a(flip)),flip(a)]. 3186 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),3160(a,2,1))]. 3188 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(220,a,2559,a(flip),b,2901,a(flip))]. 3189 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3188,a(flip))]. 3190 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3189(a,1),1404(a,1,1)),flip(a)]. 3191 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3189(a,1),2372(a,1,1))]. 3192 (L(x,x \ 1,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2628(a,1),2948(a,1,1,1))]. 3193 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2939(a,1),2949(a,2,2,1,2))]. 3205 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2481(a,1),3020(a,1,2))]. 3206 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(220,a,3031,a(flip),b,3034,a)]. 3209 (L(x,x \ 1,y) * y) / L(x,x \ 1,y) = y * (x \ T(x,y)). [para(2628(a,1),3192(a,1,2))]. 3211 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3179(a,1),3206(a,1,1,2))]. 3212 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,3193,a(flip),b,3211,a(flip)),flip(a)]. 3213 ((L(x,x \ 1,y) * y) / L(x,x \ 1,y)) \ y = T(x,y) \ x. [para(3209(a,2),3212(a,1,1))]. 3214 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3213(a,1),2980(a,1,1,2))]. 3216 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3116,a,234,a(flip)),flip(a)]. 3217 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [para(3136(a,1),3147(a,1,2)),flip(a)]. 3219 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(220,a,1988,a(flip),b,3217,a(flip)),flip(a)]. 3220 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(16(a,1),3219(a,1,2,2,1)),flip(a)]. 3221 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2837(a,1),3167(a,1,1)),flip(a)]. 3223 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),3158(a,2,1))]. 3224 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3164(a,1),2983(a,1,3))]. 3225 T(x,K(y,x) \ 1) = x. [para(3164(a,1),3030(a,1,2))]. 3226 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3225(a,1),118(a,1,2))]. 3227 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3226(a,1),150(a,2,1)),flip(a)]. 3228 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(220,a,3224,a(flip),b,3227,a)]. 3230 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(63(a,1),3182(a,2,1,1,2))]. 3231 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2675,a,3230,a)]. 3232 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(16(a,1),3231(a,1,2)),flip(a)]. 3233 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3232(a,1),17(a,1,2))]. 3234 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1818(a,2),3233(a,1,2))]. 3235 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2800(a,1),3233(a,1,2)),flip(a)]. 3236 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3235(a,1),896(a,1,2))]. 3238 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1765(a,1),3205(a,1,2))]. 3239 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [hyper(220,a,2528,a,b,2530,a(flip)),flip(a)]. 3251 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1037(a,1),2972(a,2,1))]. 3254 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3251(a,2),587(a,1))]. 3255 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = x * (R((x \ y) * x,z,u) / x). [para(17(a,1),2688(a,1,2,1,2))]. 3256 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2526(a,1),2690(a,1,2,1))]. 3257 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2491(a,1),3256(a,1,2,1))]. 3263 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2927(a,1),3234(a,1,2))]. 3264 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(119(a,2),3263(a,1,2,1))]. 3265 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2614(a,1),3238(a,2,1))]. 3267 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(157(a,1),3092(a,2,1))]. 3268 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(220,a,284,a(flip),b,3267,a)]. 3271 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3268(a,1),234(a,1,2)),flip(a)]. 3272 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,15,a(flip),b,3271,a)]. 3273 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,2361,a(flip),b,3272,a(flip))]. 3274 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(71,a,3273,a(flip),b,2104,a)]. 3275 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(66(a,1),3273(a,1,2))]. 3276 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(995(a,1),3275(a,1,1))]. 3277 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1035(a,1),3276(a,1,1)),flip(a)]. 3278 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(220,a,3221,a(flip),b,3099,a)]. 3279 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2843(a,1),3278(a,1,1))]. 3280 ((1 / x) * (y * x)) / (1 / x) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(2605,a,3111,a),flip(a)]. 3281 ((x \ 1) * (y * x)) / (x \ 1) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(220,a,2910,a(flip),b,3280,a(flip)),flip(a)]. 3282 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2288(a,1),2750(a,2,2,1))]. 3283 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(718(a,1),2891(a,1,2)),flip(a)]. 3284 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(220,a,1793,a(flip),b,3283,a(flip))]. 3285 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2649(a,1),2929(a,1,2)),flip(a)]. 3286 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(220,a,29,a,b,3285,a)]. 3287 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2669(a,1),3286(a,1,1)),flip(a)]. 3289 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(220,a,171,a(flip),b,3282,a)]. 3290 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3289(a,1,2))]. 3291 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3290(a,1,2))]. 3294 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3291(a,1),2795(a,1,2)),flip(a)]. 3295 L(x,y,K(z \ 1,z) * u) = L(x,y,u * K(z \ 1,z)). [hyper(220,a,2576,a(flip),b,2577,a(flip)),flip(a)]. 3300 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3184(a,1),3185(a,1,1))]. 3301 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(220,a,176,a(flip),b,3300,a(flip)),flip(a)]. 3302 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),3301(a,1,1)),flip(a)]. 3303 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,3035,a(flip),b,3302,a)]. 3304 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2836(a,1),3302(a,1,2)),flip(a)]. 3305 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1402(a,1),3303(a,1,1,2)),flip(a)]. 3306 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2945(a,1),3303(a,1,1)),flip(a)]. 3307 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(220,a,2950,a(flip),b,3304,a)]. 3309 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3307(a,1),526(a,2,1))]. 3310 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3306(a,1,2)),flip(a)]. 3311 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(155(a,1),3310(a,1,1,2)),flip(a)]. 3312 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(155(a,1),3311(a,1,2,1)),flip(a)]. 3313 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3312(a,1),17(a,1,2))]. 3314 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),3305(a,2,1))]. 3316 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3186(a,1),3314(a,1,2))]. 3317 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3316(a,1),22(a,1))]. 3318 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(17(a,1),3309(a,1,2,2,2))]. 3320 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2961(a,1),3318(a,1,2,2)),flip(a)]. 3321 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1445(a,1),3320(a,2,2))]. 3323 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(220,a,180,a(flip),b,3321,a)]. 3324 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(555,a,3323,a),flip(a)]. 3326 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(220,a,2944,a(flip),b,3324,a)]. 3327 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1402(a,1),3326(a,1,1,2))]. 3328 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(16(a,1),3327(a,1,1)),flip(a)]. 3330 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1402(a,1),3328(a,1,2)),flip(a)]. 3331 L(K(x,y),x \ 1,x) = K(x,y). [hyper(220,a,16,a(flip),b,3330,a)]. 3334 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,3331,a(flip),b,180,a),flip(a)]. 3336 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(71,a,3334,a(flip),b,1484,a)]. 3340 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,1407,a(flip),b,3190,a)]. 3341 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(541(a,1),3340(a,1,2,2))]. 3342 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,45,a,b,3341,a(flip)),flip(a)]. 3343 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1797(a,1),3342(a,1,1)),flip(a)]. 3344 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,889,a,b,3343,a)]. 3346 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(220,a,1476,a(flip),b,3344,a(flip)),flip(a)]. 3347 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3344(a,1),3223(a,1,1)),flip(a)]. 3348 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(220,a,3189,a,b,3346,a),flip(a)]. 3349 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1700(a,2),3348(a,1,2))]. 3350 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [hyper(3254,a,3347,a),flip(a)]. 3351 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2377(a,1),396(a,1))]. 3359 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),2977(a,2,1))]. 3360 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2540,a,2539,a),flip(a)]. 3367 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(833(a,1),2818(a,1,2,1))]. 3368 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2807(a,1),3367(a,1,1))]. 3369 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(3368(a,1),19(a,1,1))]. 3370 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3265(a,1),2608(a,1,1))]. 3371 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(810(a,1),3370(a,2,1,2))]. 3372 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2660(a,1),2697(a,1,2)),flip(a)]. 3373 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(220,a,33,a,b,3372,a)]. 3376 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(119(a,2),3373(a,1,2,2))]. 3377 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1765(a,1),3376(a,1,3))]. 3378 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(63(a,1),3377(a,2,3))]. 3379 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2798(a,1),2799(a,2,2,1,1))]. 3380 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(220,a,2941,a(flip),b,3379,a)]. 3382 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2941(a,1),3380(a,1,1))]. 3383 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3382(a,1),3012(a,1,1))]. 3384 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3009(a,1),3383(a,2,1))]. 3386 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3384(a,1),17(a,1,2))]. 3388 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,2535,a(flip),b,3386,a(flip)),flip(a)]. 3389 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2769(a,1),2812(a,1,2)),flip(a)]. 3390 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3389(a,2),396(a,1))]. 3391 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),3027(a,1,1,1))]. 3393 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3391(a,1),23(a,1)),flip(a)]. 3398 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3139(a,1),3140(a,1,1))]. 3400 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2508(a,1),2541(a,1,2,2))]. 3401 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),y). [para(2508(a,1),3400(a,2,3))]. 3402 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3096(a,1,1))]. 3403 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3402(a,1,2,3))]. 3404 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2748(a,1),3403(a,1,2)),flip(a)]. 3405 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3091(a,1),3404(a,1,1))]. 3406 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3093(a,1),3404(a,1,1)),flip(a)]. 3407 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1448(a,1),3405(a,1,2))]. 3408 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(220,a,3085,a(flip),b,3407,a(flip))]. 3409 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(220,a,2714,a(flip),b,3408,a)]. 3410 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(220,a,2597,a(flip),b,3409,a)]. 3411 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(220,a,3410,a(flip),b,3406,a(flip)),flip(a)]. 3412 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1448(a,1),3411(a,2,2))]. 3413 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(220,a,3085,a(flip),b,3412,a)]. 3414 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(220,a,3100,a(flip),b,3413,a)]. 3415 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3152(a,1),3414(a,1,1))]. 3416 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(220,a,3279,a(flip),b,3415,a(flip)),flip(a)]. 3417 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3416(a,1),749(a,1,1))]. 3418 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(220,a,409,a(flip),b,3417,a(flip))]. 3419 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(220,a,29,a,b,3418,a),flip(a)]. 3420 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3419(a,2,1)),flip(a)]. 3421 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3420,a(flip),b,180,a),flip(a)]. 3422 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3421(a,1),33(a,2,2)),flip(a)]. 3424 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(33(a,2),1953(a,2,2,1,1))]. 3425 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1819(a,1),3424(a,1,1))]. 3426 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1825(a,1),3425(a,1,1,1))]. 3427 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(429,a,3426,a),flip(a)]. 3429 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(642(a,1),3427(a,2,1,2))]. 3430 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1041(a,1),3427(a,1,2))]. 3431 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1335(a,1),3429(a,1,2))]. 3432 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(141(a,1),3431(a,2,1,2))]. 3433 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1760(a,2),3432(a,2,1))]. 3434 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(15(a,1),3430(a,1,2,2)),flip(a)]. 3435 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3349(a,1),3434(a,1,1)),flip(a)]. 3436 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3346(a,1),3435(a,2,1))]. 3437 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,3191,a(flip),b,3436,a)]. 3438 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1760,a(flip),b,3437,a)]. 3439 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(220,a,3277,a,b,3438,a(flip)),flip(a)]. 3440 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3439(a,1),63(a,1,2)),flip(a)]. 3441 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(63(a,1),3439(a,1,1,1,2)),flip(a)]. 3442 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3441(a,1),66(a,1,1))]. 3443 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(63(a,1),3442(a,1,1,1,1)),flip(a)]. 3444 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3442(a,1),3083(a,1,2)),flip(a)]. 3446 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3443(a,2),2299(a,1,1))]. 3449 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(220,a,2952,a(flip),b,3444,a(flip))]. 3451 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(216,a,3446,a),flip(a)]. 3452 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2298(a,1),3451(a,2,1))]. 3453 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(220,a,3119,a(flip),b,3452,a(flip)),flip(a)]. 3454 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(3143(a,1),3453(a,2,1))]. 3456 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3454(a,2),23(a,1))]. 3462 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * (1 / T(y,x)). [para(66(a,1),1811(a,2,2))]. 3463 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * ((1 / T(y,x)) \ 1)) / x). [hyper(220,a,720,a(flip),b,3462,a)]. 3465 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * T(y,x)) / x). [para(66(a,1),3463(a,2,2,1,2))]. 3467 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * y. [para(155(a,1),3465(a,2,2))]. 3468 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = y / T(y,x). [hyper(220,a,1105,a(flip),b,3467,a)]. 3469 (1 / (1 / T(x,y))) \ (x * T(K(x \ 1,x),y)) = x / T(x,y). [para(16(a,1),3468(a,1,1))]. 3471 (1 / (1 / T(x,y))) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2854(a,2),3469(a,1,2,2))]. 3472 T(1 / (1 / x),y) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2290(a,1),3471(a,1,1))]. 3473 T(1 / (1 / x),y) \ (1 / (1 / x)) = x / T(x,y). [para(2855(a,1),3472(a,1,2))]. 3474 T(1 / x,y) \ (1 / (1 / (x \ 1))) = (x \ 1) / T(x \ 1,y). [para(63(a,1),3473(a,1,1,1,2))]. 3476 (x \ 1) / T(x \ 1,y) = T(1 / x,y) \ (1 / x). [para(63(a,1),3474(a,1,2,2)),flip(a)]. 3477 (x \ 1) / T(x \ 1,y) = x \ (T(1 / x,y) \ 1). [hyper(220,a,3153,a(flip),b,3476,a)]. 3478 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(2849,a,3477,a)]. 3479 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2242(a,1),1271(a,1,1,2))]. 3480 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(19(a,1),3479(a,1,1,2))]. 3482 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(988(a,1),3480(a,1,1)),flip(a)]. 3484 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3482(a,1),3359(a,1,1))]. 3485 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3484,a(flip),b,3316,a)]. 3486 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3485,a(flip))]. 3487 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3486(a,1),2435(a,1,1))]. 3488 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(220,a,3350,a(flip),b,3487,a(flip)),flip(a)]. 3489 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(220,a,3284,a,b,3488,a(flip)),flip(a)]. 3490 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3488(a,1),2200(a,2,1,1))]. 3491 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3489(a,1),17(a,1,2))]. 3492 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(220,a,3440,a(flip),b,3491,a)]. 3493 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(20,a,1740,a,b,3492,a),flip(a)]. 3494 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,2922,a,b,3490,a(flip)),flip(a)]. 3495 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,559,a(flip),b,3494,a(flip)),flip(a)]. 3496 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3456,a,3495,a),flip(a)]. 3499 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3496,a)]. 3501 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,x) * y) * z. [para(3496(a,1),3490(a,2,1))]. 3503 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(220,a,3493,a,b,3499,a(flip)),flip(a)]. 3504 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3499(a,1),991(a,1,2))]. 3507 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3503(a,1),1738(a,1,1))]. 3508 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3503(a,1),2656(a,1,1,1)),flip(a)]. 3509 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3507,a(flip),b,2803,a),flip(a)]. 3510 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3507(a,1),2649(a,1,1))]. 3511 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2809,a,b,3504,a),flip(a)]. 3513 R(x,y,z) / x = x \ R(x,y,z). [hyper(1042,a,3511,a)]. 3516 (x \ R(x,y,z)) * x = R(x,y,z). [para(3511(a,1),1039(a,1,1))]. 3519 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3513(a,1),445(a,1,1))]. 3520 T(x,x \ R(x,y,z)) = x. [hyper(253,a,3516,a)]. 3530 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(220,a,2656,a(flip),b,3508,a)]. 3531 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1766,a,3530,a)]. 3532 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(220,a,3274,a(flip),b,3509,a)]. 3533 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3519(a,2),2293(a,1,1,1,1))]. 3553 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3503(a,1),3501(a,1,1)),flip(a)]. 3554 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2544,a,3553,a)]. 3555 L(x,y,K(z \ 1,z)) = x. [hyper(388,a,3553,a)]. 3556 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(71,a,89,a(flip),b,3553,a)]. 3557 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [hyper(2677,a,3553,a(flip))]. 3559 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),33(a,2,1,1)),flip(a)]. 3561 (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) != w | L(u,K(y \ 1,y) * z,x) = w. [para(3553(a,1),396(a,1,2,2))]. 3563 x \ ((y * K(z \ 1,z)) * u) = x \ (K(z \ 1,z) * (y * u)). [para(3553(a,1),2575(a,1,2)),flip(a)]. 3564 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [para(3553(a,1),2576(a,1,1))]. 3566 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,K(z \ 1,z),y). [para(3553(a,1),3401(a,1,2))]. 3569 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3390,a,3555,a),flip(a)]. 3572 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(220,a,3360,a,b,3555,a(flip)),flip(a)]. 3575 L(x,y,1) = x. [para(142(a,1),3555(a,1,3))]. 3576 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3555(a,1),448(a,1,2))]. 3577 L(x,y,K(z,z \ 1)) = x. [para(1762(a,1),3555(a,1,3))]. 3581 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3555(a,1),3390(a,1))]. 3582 L(x,y,1) = x / 1. [hyper(220,a,61,a,b,3575,a)]. 3583 L(x,y,1) != z | z = x. [para(3582(a,2),202(a,1))]. 3587 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(220,a,2671,a(flip),b,3577,a(flip)),flip(a)]. 3589 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3577(a,1),103(a,1,2))]. 3590 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3577(a,1),323(a,1,2)),flip(a)]. 3591 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3577(a,1),448(a,1,2))]. 3594 (K(x,x \ 1) * (y * z)) \ ((K(x,x \ 1) * y) * (z * u)) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(3577(a,1),389(a,1,2,2,1))]. 3595 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3577(a,1),1785(a,1,2)),flip(a)]. 3597 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(63(a,1),3569(a,1,3)),flip(a)]. 3601 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2781(a,2),3581(a,1))]. 3603 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2506,a,3590,a)]. 3605 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3590(a,1),2506(a,1))]. 3606 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2506,a,3595,a)]. 3607 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(578(a,1),3606(a,1,1)),flip(a)]. 3614 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3554(a,1),2810(a,1,1))]. 3615 K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w. [para(3499(a,2),3554(a,2,1)),flip(a)]. 3618 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2657(a,1),3556(a,1,1)),flip(a)]. 3623 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2657(a,1),3557(a,1,2,1)),flip(a)]. 3625 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3576(a,1),120(a,1,1))]. 3626 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(779(a,1),3576(a,1,1)),flip(a)]. 3628 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2665,a,3626,a)]. 3632 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(14(a,1),3587(a,2,2))]. 3633 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2499(a,1),3632(a,1,1))]. 3636 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(418,a,3589,a)]. 3638 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3589,a(flip),b,2531,a)]. 3640 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(220,a,3433,a,b,3636,a(flip)),flip(a)]. 3642 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1738(a,1),3618(a,2,2))]. 3643 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3618(a,1),2912(a,1))]. 3646 (K(x,x \ 1) * ((y * z) * u)) / ((z * K(x,x \ 1)) * u) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),421(a,1,1))]. 3650 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(220,a,772,a(flip),b,3572,a(flip))]. 3651 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2588(a,1),3572(a,1,1,2))]. 3654 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2906(a,1),3625(a,1,1))]. 3656 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3531,a,b,3640,a)]. 3658 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3656(a,1),209(a,1,2)),flip(b)]. 3659 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(3658,a,3532,a),flip(a)]. 3660 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3658,a,3509,a),flip(a)]. 3661 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3660(a,1),17(a,1,2))]. 3662 K(x,R(x \ 1,y,z)) * (u * w) = (u * K((x \ 1) \ 1,x \ 1)) * w. [para(3041(a,1),3615(a,1,1))]. 3665 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),3559(a,1,1))]. 3666 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(220,a,3591,a(flip),b,3638,a(flip)),flip(a)]. 3667 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(220,a,3239,a(flip),b,3638,a(flip))]. 3668 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1765(a,1),3667(a,1,2)),flip(a)]. 3669 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1765(a,1),3668(a,1,3)),flip(a)]. 3670 K(x,R(x \ 1,y,z)) * (u * w) = (u * K(x,x \ 1)) * w. [para(1787(a,1),3662(a,2,1,2))]. 3671 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(21,a,2499,a,b,3670,a)]. 3672 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(220,a,3576,a(flip),b,3665,a(flip)),flip(a)]. 3673 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3672(a,1,2)),flip(a)]. 3674 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2677,a,3673,a(flip))]. 3677 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(71,a,3674,a(flip),b,3255,a(flip)),flip(a)]. 3678 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(3677(a,1),19(a,1,1)),flip(a)]. 3679 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(67(a,1),3677(a,1,1,1)),flip(a)]. 3680 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(436(a,1),3678(a,2,1,2))]. 3682 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2596(a,1),3678(a,2,1,2))]. 3683 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3679(a,1),17(a,1,2)),flip(a)]. 3684 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3683(a,2),2335(a,1,1))]. 3686 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3680,a(flip),b,184,a)]. 3687 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(220,a,3371,a(flip),b,3682,a(flip))]. 3688 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3682,a(flip),b,2598,a),flip(a)]. 3690 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3687(a,1,1)),flip(a)]. 3691 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3690,a),flip(a)]. 3692 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,17,a(flip),b,3690,a),flip(a)]. 3693 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,3691,a)]. 3694 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,218,a(flip),b,3691,a),flip(a)]. 3695 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,155,a(flip),b,3691,a)]. 3696 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,3146,a,b,3691,a),flip(a)]. 3697 (x \ T(x,y)) * y = (x * y) / x. [hyper(220,a,2874,a,b,3691,a(flip)),flip(a)]. 3698 ((x * y) / x) / y = x \ T(x,y). [hyper(72,a,3691,a(flip),b,2874,a)]. 3699 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3691(a,1),813(a,1,2))]. 3700 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3691(a,1),2091(a,1,1))]. 3701 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2942(a,1),3691(a,1,2)),flip(a)]. 3702 ((x * y) / x) \ y = T(x,y) \ x. [para(3691(a,1),3212(a,1,1))]. 3703 (T(x,y) \ x) * ((x * y) / x) = y. [para(3691(a,1),3313(a,1,2))]. 3705 x * (y \ T(y,x)) != z | (y * x) / y = z. [para(3693(a,1),208(a,1,2)),flip(b)]. 3706 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3693(a,1),403(a,1,1))]. 3707 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3693(a,1),1281(a,1,1)),flip(a)]. 3708 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3695(a,2),17(a,1,2))]. 3709 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3695(a,2),2947(a,1,1))]. 3710 (x * y) / x != z * y | x \ T(x,y) = z. [para(3697(a,1),23(a,1))]. 3712 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3698(a,1),443(a,1,1,1))]. 3713 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3702(a,1,1,1)),flip(a)]. 3714 T(x,T(y,x)) \ x = y \ T(y,x). [para(155(a,1),3702(a,1,1)),flip(a)]. 3715 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),1082(a,1,1,2,2)),flip(a)]. 3716 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3702(a,1),1188(a,1,2,2,1))]. 3717 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3393,a,3703,a)]. 3718 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3714(a,1),2845(a,1,1))]. 3719 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2942(a,1),3718(a,1,1))]. 3720 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(3005(a,2),3718(a,1,1)),flip(a)]. 3721 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(119(a,1),3692(a,1,2,2))]. 3722 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,3721,a)]. 3723 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(155(a,1),3706(a,2,2)),flip(a)]. 3724 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3707(a,2),2946(a,1))]. 3725 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(120(a,1),3694(a,1,2))]. 3726 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(220,a,3713,a,b,3725,a(flip)),flip(a)]. 3727 x / (x / y) = y * (T(y,y \ x) \ y). [para(3726(a,2),17(a,1,2)),flip(a)]. 3729 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3727(a,2,2,1,2))]. 3730 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1354,a,3696,a)]. 3732 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(220,a,1004,a,b,3696,a(flip)),flip(a)]. 3733 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3696(a,1),1982(a,1,1))]. 3734 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3696(a,1),2006(a,2,2,1))]. 3735 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3696(a,1),1985(a,2,2,1))]. 3736 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3696(a,1),2369(a,1,1))]. 3737 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3730(a,2),17(a,1,2))]. 3738 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1398,a,3737,a)]. 3739 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(63(a,1),3737(a,1,2,2,1)),flip(a)]. 3740 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(191(a,1),3737(a,1,2,2,1)),flip(a)]. 3741 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1972,a,3738,a)]. 3744 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(220,a,3449,a,b,3738,a(flip)),flip(a)]. 3745 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3738,a(flip),b,1968,a)]. 3746 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3738(a,1),1969(a,1,2)),flip(a)]. 3747 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(220,a,3220,a(flip),b,3744,a(flip)),flip(a)]. 3748 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3744,a(flip),b,3219,a)]. 3751 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3745(a,2),150(a,2,1))]. 3752 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3748,a,b,xx)]. 3753 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3748(a,2),22(a,1))]. 3754 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(66(a,1),3748(a,2,2,1))]. 3755 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(303(a,2),3748(a,2,2)),flip(a)]. 3759 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(220,a,954,a(flip),b,3729,a(flip)),flip(a)]. 3760 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3746(a,1),2641(a,2,1,2))]. 3762 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(220,a,819,a(flip),b,3754,a(flip)),flip(a)]. 3763 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3759(a,1),66(a,1,1))]. 3764 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3759(a,1),1255(a,2,2,1,2))]. 3766 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [hyper(220,a,3708,a,b,3720,a(flip)),flip(a)]. 3767 ((x \ 1) \ (x \ y)) * (x \ 1) = y * R(1 / x,x,x \ y). [hyper(220,a,818,a,b,3755,a),flip(a)]. 3769 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(893(a,1),3701(a,2,2))]. 3770 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(220,a,3730,a(flip),b,3733,a),flip(a)]. 3771 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3740(a,2),22(a,1))]. 3772 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(20,a,764,a,b,3747,a),flip(a)]. 3773 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2965(a,1),3770(a,1,2,2,1)),flip(a)]. 3774 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(220,a,3004,a(flip),b,3772,a(flip))]. 3775 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(148(a,2),3774(a,1,2))]. 3776 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3775,a(flip),b,704,a),flip(a)]. 3777 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3709(a,1),748(a,1,1))]. 3778 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(220,a,3730,a(flip),b,3736,a)]. 3779 (x \ y) \ (y * R(1 / x,x,x \ y)) = K((x \ 1) \ (x \ y),x \ 1). [hyper(71,a,3767,a(flip),b,234,a)]. 3781 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(220,a,1093,a(flip),b,3688,a(flip)),flip(a)]. 3782 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3730(a,1),3734(a,1,1))]. 3784 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3769(a,2),22(a,1))]. 3785 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(220,a,3700,a(flip),b,3776,a(flip)),flip(a)]. 3786 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(1563,a,3785,a)]. 3787 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3786(a,1,1,1)),flip(a)]. 3788 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3787(a,1,1,1)),flip(a)]. 3789 K((x \ 1) \ (x \ y),x \ 1) = K(y,(x \ y) / y). [hyper(637,a,3779,a),flip(a)]. 3790 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(220,a,3216,a(flip),b,3789,a(flip)),flip(a)]. 3792 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3164(a,1),3766(a,1,2))]. 3793 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(71,a,3792,a(flip),b,3226,a)]. 3794 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3792(a,1),22(a,1))]. 3795 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3792(a,1),3228(a,1,1))]. 3796 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3793(a,1),811(a,1,2,1))]. 3797 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3795(a,1),17(a,1,2))]. 3798 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3797(a,1),2642(a,1,1)),flip(a)]. 3799 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(220,a,241,a(flip),b,3796,a(flip))]. 3800 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(220,a,328,a(flip),b,3799,a(flip))]. 3801 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(220,a,3800,a(flip),b,3798,a)]. 3802 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3801(a,1),2239(a,1,2,2))]. 3803 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3777(a,2,1))]. 3805 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(520,a,3802,a),flip(a)]. 3806 K(x,(y \ 1) \ 1) = K(x,y). [hyper(220,a,564,a(flip),b,3805,a),flip(a)]. 3809 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(220,a,3287,a,b,3806,a(flip)),flip(a)]. 3811 K(x,1 / y) = K(x,y \ 1). [para(66(a,1),3806(a,1,2,1)),flip(a)]. 3823 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3811(a,1),2095(a,2,1))]. 3828 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2147(a,2),3809(a,1,1))]. 3829 K((1 / x) \ y,x) = K((x \ 1) \ y,x). [para(2800(a,1),3809(a,1,1)),flip(a)]. 3830 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2808(a,1),3809(a,1,1))]. 3834 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2808(a,1),3828(a,1,1,1))]. 3836 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3601,a,3717,a)]. 3837 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2778(a,1),3836(a,2,1))]. 3838 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(220,a,3788,a(flip),b,3837,a(flip))]. 3839 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3838(a,1),3156(a,1,2,1))]. 3843 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(220,a,3778,a,b,3773,a)]. 3844 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3083(a,1),3843(a,2,1,2))]. 3847 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(220,a,1218,a(flip),b,3764,a(flip))]. 3848 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(118(a,1),3847(a,2,1,2))]. 3849 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3702(a,1),3716(a,2,2))]. 3855 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3654(a,2),3643(a,1))]. 3856 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2487(a,1),3760(a,1,1,1))]. 3857 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3628(a,1),3856(a,1,1,1))]. 3858 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(120(a,1),3857(a,1,1))]. 3859 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3752(a,1),3858(a,2,1))]. 3861 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3859(a,2),214(a,1)),flip(b)]. 3866 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,K(x \ 1,x) * y). [hyper(220,a,3563,a(flip),b,3564,a(flip)),flip(a)]. 3867 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(220,a,3576,a(flip),b,3614,a(flip)),flip(a)]. 3869 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [hyper(220,a,3295,a(flip),b,3866,a)]. 3870 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(683,a,3869,a)]. 3871 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(220,a,3555,a(flip),b,3870,a(flip))]. 3876 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1765(a,1),3607(a,2,2))]. 3877 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(63(a,1),3876(a,1,1))]. 3878 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(3861,a,3877,a(flip)),flip(a)]. 3906 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2077(a,1),3715(a,1,1))]. 3907 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(118(a,1),3906(a,1,1,1,2))]. 3908 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),3907(a,1,2))]. 3909 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3684(a,1),216(a,1))]. 3910 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3909,a,3735,a)]. 3911 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3741(a,1),3910(a,1,1)),flip(a)]. 3912 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3083(a,1),3911(a,1,2,1,2)),flip(a)]. 3913 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3083(a,1),3912(a,1,1)),flip(a)]. 3914 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3913(a,1,2,2)),flip(a)]. 3915 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3914(a,1,2)),flip(a)]. 3917 L(x,y \ T(y,z),y) = x. [hyper(474,a,3915,a)]. 3918 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3915,a)]. 3920 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,896,a,b,3915,a)]. 3922 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3695(a,2),3915(a,1,2,1))]. 3923 T(x,y) * y = x * ((x * y) / x). [para(3697(a,1),3915(a,1,2)),flip(a)]. 3927 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3917,a(flip),b,3302,a)]. 3929 L(x,T(y,T(z,y)) \ y,z) = x. [para(3714(a,2),3917(a,1,2))]. 3930 L(x,T(y,z) \ y,(y * z) / y) = x. [para(154(a,1),3929(a,1,2,1,2))]. 3931 T(x,y) * (x \ y) = (x * y) / x. [hyper(920,a,3923,a)]. 3933 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1204,a,b,3923,a),flip(a)]. 3934 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3923(a,2,2,1))]. 3937 T(x,x / (1 / y)) = T(x,x * y). [hyper(220,a,1210,a(flip),b,3933,a(flip)),flip(a)]. 3938 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(220,a,962,a(flip),b,3933,a(flip)),flip(a)]. 3939 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3933,a(flip),b,950,a)]. 3940 T(x,x / y) = T(x,y \ x). [para(63(a,1),3933(a,1,2,2))]. 3943 T(x / y,T(y,x)) = y \ x. [hyper(160,a,1132,a,b,3931,a)]. 3945 T(x,T(y,x * y)) = y \ (x * y). [hyper(160,a,1110,a(flip),b,3931,a)]. 3947 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),3931(a,1,2))]. 3949 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3931(a,1),396(a,1,1))]. 3950 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3931(a,1),2881(a,1,1,1))]. 3951 T(x \ y,T(x,y)) = T(x \ y,x). [para(3943(a,1),175(a,1,1)),flip(a)]. 3956 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3937(a,1),1198(a,1,1))]. 3957 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3939(a,1,1)),flip(a)]. 3960 T(x,T(y,x * y)) = T(x,y). [hyper(220,a,35,a,b,3945,a)]. 3962 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3951(a,1),118(a,1,2))]. 3964 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3930,a(flip),b,3849,a),flip(a)]. 3965 R(x,x \ T(x,y),z) = x. [hyper(650,a,3918,a)]. 3966 R(x,T(y,x) \ y,z) = x. [para(3695(a,2),3965(a,1,2))]. 3967 R(x,K(y,x) \ 1,z) = x. [para(3164(a,1),3966(a,1,2))]. 3968 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(220,a,3782,a(flip),b,3920,a(flip))]. 3969 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,3388,a(flip),b,3920,a(flip))]. 3970 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(16(a,1),3927(a,2,2))]. 3974 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3748,a,b,3934,a)]. 3975 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(220,a,3920,a,b,3934,a(flip)),flip(a)]. 3980 (T(x,y) * z) / (x * z) = x \ T(x,y). [para(3970(a,1),63(a,1,2))]. 3981 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2956,a,3980,a)]. 3982 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3980(a,1),207(a,1,1)),flip(b)]. 3983 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3980(a,1),3803(a,1,1)),flip(a)]. 3985 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(220,a,2973,a(flip),b,3981,a(flip)),flip(a)]. 3986 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3698(a,1),3950(a,1,1))]. 3988 K(T(x,y),y) = K(x,(x * y) / x). [hyper(220,a,3706,a(flip),b,3986,a(flip))]. 3989 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(220,a,3938,a(flip),b,3956,a)]. 3990 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3922(a,2),23(a,1))]. 3992 T(x \ T(x * y,y),x) = R(y,x,y). [para(3957(a,1),656(a,2,1)),flip(a)]. 3993 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3957(a,1),662(a,1,1))]. 3994 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3964(a,1),17(a,1,2))]. 3996 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2847(a,1),3964(a,1,2))]. 3998 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(220,a,3712,a,b,3994,a(flip)),flip(a)]. 3999 (T(x,y) \ x) * (x * y) = y * x. [para(66(a,1),3994(a,1,2)),flip(a)]. 4000 K(x,y) = T(T(y,x) \ y,y * x). [hyper(160,a,3999,a,b,98,a),flip(a)]. 4001 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,3999,a)]. 4003 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),4001(a,1,2)),flip(a)]. 4004 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4001(a,2),3156(a,1,2,1)),flip(a)]. 4005 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(220,a,3839,a(flip),b,4004,a),flip(a)]. 4006 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1560(a,1),4005(a,1,2))]. 4007 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3996(a,1),3848(a,1,2,1))]. 4008 (x * (y / x)) / y = (x \ y) \ (y / x). [para(120(a,1),4003(a,1,1)),flip(a)]. 4009 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(220,a,3722,a(flip),b,4008,a)]. 4010 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(220,a,3732,a(flip),b,4009,a(flip))]. 4012 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3982(a,1,2))]. 4014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3718(a,1),4012(a,1))]. 4015 R(K(x,y),x,z) = K(x,y). [hyper(220,a,3723,a,b,3983,a)]. 4017 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4015(a,1),114(a,1,1)),flip(a)]. 4018 L(x,y,K(y,z)) = x. [hyper(388,a,4017,a)]. 4020 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3046(a,1),4017(a,1,1))]. 4021 L(x,y,K(y,z)) = 1 * x. [hyper(220,a,14,a,b,4018,a)]. 4026 L(x,y,K(y,z)) != u | u = x. [para(4021(a,2),73(a,1))]. 4028 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1048,a,3985,a),flip(a)]. 4030 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4010(a,1),2954(a,1,1))]. 4031 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2946,a,4030,a),flip(a)]. 4033 T(x,(x / y) \ 1) = T(x,x \ y). [para(66(a,1),4031(a,1,2,2)),flip(a)]. 4034 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4031(a,1),157(a,1,2))]. 4036 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4031(a,1),3726(a,1,1)),flip(a)]. 4037 (x / y) \ T(x,x \ y) = x * (y / x). [para(4033(a,1),3754(a,1,2))]. 4038 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(66(a,1),4034(a,1,2,2))]. 4039 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(18(a,1),4037(a,2,2))]. 4044 ((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y). [hyper(87,a,4038,a)]. 4045 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(35(a,2),4039(a,1,2,2))]. 4047 (x \ ((1 / y) \ x)) * T(x,y) != z | (1 / y) \ x = z. [para(4044(a,1),214(a,1,1)),flip(b)]. 4048 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4031(a,1),3974(a,1,1))]. 4049 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2780(a,1),4048(a,2,2))]. 4050 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(4007(a,1),22(a,1))]. 4051 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(220,a,3694,a(flip),b,4028,a(flip)),flip(a)]. 4052 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4028(a,1),3718(a,1,1)),flip(a)]. 4053 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(220,a,4036,a(flip),b,4051,a(flip)),flip(a)]. 4054 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(220,a,1246,a,b,4053,a),flip(a)]. 4055 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(220,a,810,a(flip),b,4053,a)]. 4058 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4053(a,2),396(a,1,1))]. 4059 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4054(a,2),2845(a,1,1))]. 4060 T(x,y) \ x = y \ T(y,x). [para(3083(a,1),4055(a,1,1))]. 4062 (x * y) / x = y * (T(y,x) \ y). [para(4060(a,2),3691(a,1,2)),flip(a)]. 4063 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4060(a,2),3915(a,1,2,1))]. 4064 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4060(a,2),3920(a,1,1)),flip(a)]. 4065 K(x,y) = T(x \ T(x,y),y * x). [para(4060(a,1),4000(a,2,1))]. 4066 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(220,a,3727,a,b,4062,a)]. 4068 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4062(a,2),3763(a,1,1))]. 4069 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(220,a,3770,a,b,4065,a),flip(a)]. 4070 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(63(a,1),4059(a,1,1,1,2)),flip(a)]. 4072 T(x,T(y,x)) = T(x,y). [hyper(3990,a,4063,a)]. 4073 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,968,a,b,4063,a)]. 4074 T(x,y) * T(y,x) = x * y. [para(2844(a,1),4063(a,1,2)),flip(a)]. 4075 x * (T(x,y) \ y) = T(y,x). [hyper(4014,a,4072,a)]. 4077 R(T(x,x * y),y,x) = T(x,y). [hyper(220,a,3989,a,b,4072,a(flip)),flip(a)]. 4078 (x / T(y,x)) * y = T(x,y). [hyper(220,a,3938,a,b,4072,a(flip)),flip(a)]. 4079 (T(x,y) / y) \ x = T(y,x). [hyper(220,a,1135,a,b,4072,a(flip)),flip(a)]. 4080 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(220,a,4006,a(flip),b,4072,a(flip))]. 4081 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(220,a,246,a(flip),b,4072,a(flip))]. 4082 T(x,y) / y = x / T(y,x). [hyper(72,a,4072,a(flip),b,3938,a)]. 4083 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,4072,a(flip),b,922,a)]. 4084 T(x,y) \ y = x \ T(y,x). [hyper(71,a,4072,a(flip),b,922,a),flip(a)]. 4085 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),4072(a,1,2))]. 4087 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(43(a,2),4072(a,1,2))]. 4088 T(x,y / x) = T(x,x \ y). [para(120(a,1),4072(a,1,2)),flip(a)]. 4089 T(x,(x * y) / x) = T(x,y). [para(154(a,1),4072(a,1,2)),flip(a)]. 4091 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4072(a,1),171(a,1,2,1))]. 4092 (x * y) / T(y,x) = T(x,y). [para(4072(a,1),193(a,1,2))]. 4093 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4072(a,1),172(a,1,2,1))]. 4094 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4072(a,1),173(a,1,2,1))]. 4095 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(612(a,1),4072(a,1,2))]. 4100 (x / (y * x)) \ T(x,y) = x * y. [para(4072(a,1),4045(a,1,2))]. 4101 T(x,y) * (x \ T(y,x)) = y. [hyper(920,a,4074,a)]. 4103 x * T(y,z) != z * y | T(z,y) = x. [para(4074(a,1),23(a,1)),flip(a)]. 4104 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4074(a,1),27(a,2,1,2)),flip(a)]. 4105 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4074(a,1),27(a,2,2,1)),flip(a)]. 4108 K(T(x,y) \ y,z) = K(x \ T(y,x),z). [para(4075(a,1),580(a,1,1,2)),flip(a)]. 4110 T(x,y) = (x * (x * y)) / (y * x). [hyper(220,a,1151,a,b,4078,a(flip))]. 4113 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(41(a,1),4083(a,1,2,1))]. 4115 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4084(a,1),96(a,1,1,2,1))]. 4116 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4084(a,2),1419(a,2,1))]. 4119 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(220,a,668,a,b,4088,a(flip)),flip(a)]. 4123 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4088(a,1),786(a,1,2,2))]. 4125 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4092(a,1),1132(a,1,1)),flip(a)]. 4126 T(x,y) \ y != z * u | (x \ T(y,x)) / u = z. [para(4101(a,1),372(a,1,2))]. 4127 R(T(x,y),x \ y,x) = T(x,x \ y). [para(17(a,1),4077(a,1,1,2))]. 4135 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4072(a,1),4085(a,1,2)),flip(a)]. 4136 T(x,y) / (x * y) = x / (y * x). [para(4100(a,1),63(a,1,2))]. 4138 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(220,a,151,a,b,4136,a)]. 4139 T(x,x \ y) / y = x / ((x \ y) * x). [para(17(a,1),4136(a,1,2))]. 4141 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(576,a,4138,a)]. 4142 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(220,a,3994,a,b,4064,a),flip(a)]. 4143 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4066(a,1),19(a,1,1))]. 4144 T(x / (x / y),y \ x) = y. [para(4066(a,1),154(a,1,1))]. 4146 T(x / (x / y),x) = L(y,y \ x,y). [para(4066(a,1),621(a,1,1))]. 4149 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4146(a,2),43(a,2,1)),flip(a)]. 4150 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4146(a,2),384(a,1,2))]. 4151 K(x \ y,x) \ x = x * K(x,y / x). [hyper(220,a,3739,a(flip),b,4070,a(flip))]. 4154 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4116(a,2),4110(a,2,2)),flip(a)]. 4156 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4031(a,1),4139(a,1,1))]. 4158 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(120(a,1),4141(a,1,3)),flip(a)]. 4159 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(220,a,1157,a,b,4143,a(flip)),flip(a)]. 4161 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3794,a,4151,a)]. 4162 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),4161(a,1,1,1)),flip(a)]. 4164 K(T(x,y),y) = K(y,x) \ 1. [hyper(220,a,3988,a,b,4162,a(flip)),flip(a)]. 4165 K(T(x,y),y) \ 1 = K(y,x). [para(155(a,1),4162(a,1,2)),flip(a)]. 4167 K(T(x,y),y) * K(y,x) = 1. [para(4164(a,2),2433(a,1,1))]. 4168 x * K(T(y,x),x) = K(x,y) \ x. [para(4164(a,2),3316(a,1,2))]. 4169 R(x,K(x,y),z) = x. [para(4165(a,1),3967(a,1,2))]. 4172 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4169(a,1),114(a,1,1)),flip(a)]. 4173 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4169(a,1),424(a,1,1,1)),flip(a)]. 4176 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4167(a,1),22(a,1)),flip(a)]. 4177 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4167(a,1),209(a,1,2)),flip(b)]. 4179 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4168(a,1),22(a,1))]. 4181 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4164(a,2),4177(a,1))]. 4184 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4159(a,1),19(a,1,1))]. 4186 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(220,a,4020,a(flip),b,4172,a(flip)),flip(a)]. 4188 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(66(a,1),4184(a,1,1,1))]. 4189 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(555,a,4186,a),flip(a)]. 4198 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(220,a,846,a(flip),b,4073,a)]. 4200 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4072(a,1),4113(a,1,2,1))]. 4201 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(220,a,4085,a(flip),b,4135,a)]. 4202 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(220,a,1185,a,b,4142,a(flip)),flip(a)]. 4204 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(213,a,4150,a)]. 4206 T(x,((y / (y / x)) * y) / x) = T(x,(x \ y) * x). [para(4204(a,2),4089(a,1,2,1))]. 4207 R(1 / x,x,y / x) = (x \ y) / y. [hyper(220,a,303,a(flip),b,4158,a)]. 4208 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(220,a,151,a(flip),b,4207,a(flip)),flip(a)]. 4209 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4208(a,1),19(a,1,1))]. 4212 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(220,a,3719,a(flip),b,4052,a)]. 4213 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(220,a,4072,a(flip),b,4212,a(flip))]. 4214 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(220,a,4072,a(flip),b,4213,a(flip))]. 4216 T(x,(y / z) \ 1) = T(x,z / y). [para(66(a,1),4214(a,1,2,1)),flip(a)]. 4219 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4216(a,1),3844(a,1,1,2))]. 4220 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4080(a,1),4069(a,1,2,2,1))]. 4221 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4220(a,1),17(a,1,2)),flip(a)]. 4222 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3771,a,4221,a)]. 4223 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(220,a,3790,a,b,4222,a(flip)),flip(a)]. 4224 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(220,a,3806,a(flip),b,4223,a)]. 4225 K((x \ 1) * y,x) = K(x \ y,x). [para(16(a,1),4224(a,1,1,2)),flip(a)]. 4226 K((1 / x) * y,x) = K(x \ y,x). [hyper(220,a,3830,a,b,4225,a(flip)),flip(a)]. 4227 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(35(a,2),4226(a,2,1))]. 4228 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(63(a,1),4226(a,1,1,1)),flip(a)]. 4229 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(761(a,1),4227(a,1,1))]. 4230 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(220,a,3834,a(flip),b,4229,a(flip)),flip(a)]. 4231 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4230(a,1),4165(a,1,1))]. 4232 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4177,a,4231,a),flip(a)]. 4234 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(610(a,1),4093(a,1,2))]. 4235 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4094(a,1),164(a,1,1,2))]. 4236 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4077(a,1),4094(a,1,2)),flip(a)]. 4237 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4119(a,1),4094(a,1,2)),flip(a)]. 4238 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4127(a,1),4094(a,1,2)),flip(a)]. 4239 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3083(a,1),4156(a,1,1))]. 4240 (x * (y / x)) * (y / (y / x)) = y * x. [para(66(a,1),4188(a,2,2))]. 4241 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(18(a,1),4240(a,1,1,2))]. 4243 (x * y) * ((y * x) / y) = (y * x) * x. [para(18(a,1),4241(a,1,2,2))]. 4245 (x * y) \ ((y * x) * x) != z | (y * x) / y = z. [para(4243(a,1),209(a,1,2)),flip(b)]. 4246 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,4237,a,b,4238,a),flip(a)]. 4248 L(x,K(y,z),L(y,u,w)) = x. [hyper(388,a,4173,a)]. 4250 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4239(a,2),66(a,1,1))]. 4251 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),4219(a,1,1,2,2))]. 4252 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(220,a,3101,a(flip),b,4251,a(flip))]. 4253 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3920(a,1),3968(a,2,2))]. 4254 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2786(a,1),3969(a,1,2))]. 4255 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(220,a,3264,a(flip),b,4254,a(flip))]. 4256 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(220,a,4091,a(flip),b,4125,a)]. 4261 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4252(a,1),3998(a,1,1))]. 4262 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4012,a,4261,a),flip(a)]. 4263 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3982,a,4261,a),flip(a)]. 4265 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(220,a,4198,a(flip),b,4262,a(flip))]. 4266 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(220,a,4073,a(flip),b,4262,a(flip)),flip(a)]. 4269 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,17,a(flip),b,4263,a)]. 4270 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(220,a,4064,a,b,4263,a(flip)),flip(a)]. 4272 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4263,a(flip),b,3994,a),flip(a)]. 4275 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4263(a,1),4063(a,1,2)),flip(a)]. 4279 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(220,a,103,a,b,4275,a)]. 4283 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4266(a,1),1085(a,1))]. 4284 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(317,a,4279,a),flip(a)]. 4289 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4275(a,1),4105(a,1,1))]. 4290 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4289,a),flip(a)]. 4291 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4289(a,1),597(a,1))]. 4296 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4075(a,1),4154(a,1,1,2))]. 4297 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(118(a,1),4296(a,1,1))]. 4298 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4201(a,1),4200(a,1,1))]. 4299 T(x,T(y,T(x,z))) = T(x,y). [hyper(220,a,4113,a(flip),b,4298,a(flip))]. 4302 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(178(a,1),4299(a,1,2,2))]. 4306 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4302(a,1),4149(a,1,1))]. 4307 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3105(a,1),4255(a,1,1)),flip(a)]. 4308 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3949,a,4272,a),flip(a)]. 4309 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(641,a,4308,a),flip(a)]. 4316 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4058,a,4269,a),flip(a)]. 4317 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(220,a,4253,a(flip),b,4316,a(flip)),flip(a)]. 4318 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4270(a,1),4317(a,1,2)),flip(a)]. 4319 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(220,a,180,a(flip),b,4318,a)]. 4321 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1333(a,1),4235(a,1,1))]. 4322 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1056(a,1),4321(a,1,2))]. 4323 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4322,a),flip(a)]. 4325 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4290,a,b,4323,a(flip)),flip(a)]. 4326 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4072(a,1),4325(a,1,1))]. 4327 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3443(a,2),3533(a,1,1))]. 4332 (K(x,x \ 1) * (y * z)) \ (K(x,x \ 1) * (y * (z * u))) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(3589(a,1),3594(a,1,2))]. 4333 (K(x,x \ 1) * ((y * z) * u)) / (K(x,x \ 1) * (z * u)) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),3646(a,1,2))]. 4334 L(L(x,y,z),z * y,K(u,u \ 1)) = L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z). [hyper(683,a,4332,a)]. 4337 K(x,x \ 1) * (((y * z) * u) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [hyper(220,a,3591,a(flip),b,4333,a(flip)),flip(a)]. 4338 K(x,x \ 1) * ((R(y,z,u) * (z * u)) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(114(a,2),4337(a,1,2,1))]. 4342 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(66(a,1),4049(a,1,1,2))]. 4343 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(43(a,2),4342(a,1,1))]. 4344 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4343(a,1,1))]. 4345 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(66(a,1),4344(a,1,2,2,2))]. 4346 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(43(a,2),4345(a,1,2,2))]. 4347 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4346(a,1,2,2))]. 4348 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(16(a,1),4347(a,1,2))]. 4350 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = ((1 / x) * ((1 / x) \ T(y,x))) \ ((x \ ((1 / x) \ y)) * x). [para(831(a,1),4348(a,1,1,2)),flip(a)]. 4354 R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(R(x,y,u),K(z,z \ 1),y * u). [hyper(220,a,3666,a(flip),b,4338,a(flip))]. 4355 R(R(x,1 / y,K(z,z \ 1)),K(z,z \ 1) / y,u) = R(R(x,1 / y,u),K(z,z \ 1),(1 / y) * u). [para(3603(a,1),4354(a,1,2))]. 4356 R(R(x,1 / y,K(z \ 1,z)),K(z \ 1,(z \ 1) \ 1) / y,u) = R(R(x,1 / y,u),K(z \ 1,(z \ 1) \ 1),(1 / y) * u). [para(1765(a,1),4355(a,1,1,3))]. 4357 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((x \ ((1 / x) \ y)) * x). [hyper(220,a,333,a(flip),b,4350,a)]. 4359 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(831(a,1),4357(a,2,2))]. 4360 ((1 / x) * ((1 / x) \ y)) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(2770(a,1),4359(a,1,1))]. 4361 T(x,y) \ ((1 / y) \ T(x,y)) = x \ (y * (y \ ((1 / y) \ x))). [hyper(220,a,333,a(flip),b,4360,a(flip))]. 4363 T(x,y) \ ((1 / y) \ T(x,y)) = x \ ((1 / y) \ x). [para(17(a,1),4361(a,2,2))]. 4365 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,(y \ 1) \ 1) / y,z). [para(2594(a,1),4356(a,1,1)),flip(a)]. 4366 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,y) / y,z). [para(1765(a,1),4365(a,2,2,1))]. 4367 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,y \ 1,z). [para(258(a,1),4366(a,2,2))]. 4368 R(R(x,1 / y,z),K(y \ 1,y),(1 / y) * z) = R(x,y \ 1,z). [para(1765(a,1),4367(a,1,2))]. 4369 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),3128(a,1,2,1))]. 4370 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(60(a,1),4369(a,1,2))]. 4372 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(207,a,4370,a)]. 4375 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2331(a,1),4372(a,1,1))]. 4377 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(524(a,1),3294(a,1,1)),flip(a)]. 4378 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(524(a,1),3878(a,1,2,2,2))]. 4379 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(66(a,1),4377(a,1,2,1,1,1))]. 4380 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2907,a,b,4379,a),flip(a)]. 4381 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3236,a(flip),b,4379,a(flip))]. 4382 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(4380(a,1),2823(a,1,2))]. 4383 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4307(a,1),4381(a,1,2))]. 4384 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4383(a,1),230(a,1,1)),flip(a)]. 4385 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4382(a,1),3107(a,1,2))]. 4386 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(4385(a,1),396(a,1))]. 4387 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(4386,a,3597,a)]. 4388 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,105,a(flip),b,4387,a(flip))]. 4389 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,4319,a(flip),b,4388,a(flip)),flip(a)]. 4391 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4389(a,1),3398(a,2,2))]. 4392 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(220,a,4384,a(flip),b,4391,a)]. 4393 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3855,a,4392,a)]. 4395 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,4393,a)]. 4397 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4395(a,1),2911(a,1,2))]. 4398 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4397(a,1),3867(a,1,2)),flip(a)]. 4400 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(220,a,2657,a(flip),b,4398,a)]. 4404 R(x,1 / y,z) = R(x,y \ 1,z). [hyper(220,a,4368,a(flip),b,4400,a(flip))]. 4405 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4400(a,1,3))]. 4408 R(x,y,K(z \ 1,z)) = x. [hyper(220,a,3669,a(flip),b,4405,a(flip)),flip(a)]. 4414 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(220,a,3651,a(flip),b,4408,a(flip))]. 4417 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(220,a,3378,a(flip),b,4408,a(flip))]. 4420 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4408(a,1),114(a,1,1)),flip(a)]. 4421 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4408(a,1),326(a,1,1)),flip(a)]. 4422 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4408(a,1),414(a,1,1))]. 4424 x * K(y \ 1,y) != z * (u * K(y \ 1,y)) | z * u = x. [para(4408(a,1),374(a,1,1)),flip(a)]. 4432 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(63(a,1),4404(a,1,2)),flip(a)]. 4445 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4417(a,1),114(a,1,1))]. 4446 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4432(a,1),114(a,1,1))]. 4452 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4414(a,1),4265(a,1,2,1))]. 4455 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2523,a,4421,a)]. 4461 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(388,a,4420,a)]. 4462 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(220,a,2535,a,b,4420,a)]. 4466 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4461,a)]. 4467 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(220,a,2525,a(flip),b,4461,a(flip)),flip(a)]. 4471 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(4461(a,1),2563(a,1,1))]. 4472 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = 1. [hyper(220,a,2533,a,b,4466,a(flip)),flip(a)]. 4473 a(x,y,K(z,z \ 1)) = 1. [para(1762(a,1),4466(a,1,3))]. 4474 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4473,a)]. 4476 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(220,a,1303,a,b,4467,a(flip)),flip(a)]. 4479 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(220,a,2513,a,b,4422,a)]. 4490 x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. [hyper(555,a,4471,a),flip(a)]. 4500 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = K(u \ 1,u) * L(z,y,x). [para(31(a,2),4479(a,2,2))]. 4501 x \ (y * (K(z \ 1,z) * u)) = K(z \ 1,z) * (x \ (y * u)). [para(4462(a,1),4479(a,1,2))]. 4505 x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. [para(4490(a,1),209(a,1,2)),flip(b)]. 4536 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4283,a,4452,a)]. 4537 T(x * (y / x),z) = x * (T(y,z) / x). [para(4536(a,1),17(a,1,2)),flip(a)]. 4538 T(x * y,z) / y = y \ T(y * x,z). [para(18(a,1),4536(a,1,2,1,2)),flip(a)]. 4539 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4536(a,2),19(a,1,1))]. 4542 T((x \ y) * x,z) / x = x \ T(y,z). [para(62(a,1),4536(a,1,2,1)),flip(a)]. 4547 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(120(a,1),4537(a,2,2,1))]. 4552 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4088(a,1),4537(a,2,2,1))]. 4554 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(220,a,755,a,b,4538,a),flip(a)]. 4555 T(x * (1 / y),z) / (1 / y) = y * T(y \ x,z). [hyper(220,a,762,a(flip),b,4538,a)]. 4556 (x \ T(x * y,z)) * x = T(y * x,z). [para(4538(a,1),19(a,1,1))]. 4559 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4538(a,1),3781(a,1,2))]. 4561 (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)) = T(y,z). [hyper(220,a,1515,a,b,4539,a(flip)),flip(a)]. 4562 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(62(a,1),4539(a,1,1,2,1)),flip(a)]. 4565 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4542(a,1),214(a,1,1)),flip(b)]. 4572 x * R(y,x,y) = T(y * x,y). [hyper(220,a,3993,a(flip),b,4556,a(flip)),flip(a)]. 4573 x \ T(y * x,y) = R(y,x,y). [hyper(71,a,4556,a(flip),b,3993,a(flip))]. 4576 R(x,y,T(x,y)) = R(x,y,x). [hyper(20,a,960,a,b,4572,a),flip(a)]. 4577 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4572(a,1),31(a,2,2,2)),flip(a)]. 4578 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4572(a,1),1662(a,1,1))]. 4579 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4572(a,1),2324(a,2,1))]. 4580 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(220,a,170,a,b,4576,a(flip)),flip(a)]. 4581 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),4573(a,1,2,1)),flip(a)]. 4582 L(R(x,y,x),y,x) = x. [para(4573(a,1),383(a,1,1))]. 4583 (L(x,y,x) * y) * x = x * (y * x). [para(4582(a,1),424(a,1,1)),flip(a)]. 4584 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(220,a,4246,a,b,4581,a(flip)),flip(a)]. 4586 (x * (y * x)) / x = L(x,y,x) * y. [hyper(87,a,4583,a)]. 4587 x * T(y,x * y) = L(y,x,y) * x. [hyper(21,a,1107,a,b,4583,a),flip(a)]. 4589 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(18(a,1),4584(a,1,2)),flip(a)]. 4591 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(220,a,618,a(flip),b,4586,a)]. 4594 L(x,y,(y * x) / y) = L(x,y,x). [hyper(798,a,4587,a)]. 4595 T(x,y * x) = T(x,x * y). [hyper(20,a,614,a,b,4587,a)]. 4596 T(x,(x \ y) * x) = T(x,y). [hyper(20,a,618,a(flip),b,4587,a)]. 4601 T(x,T(y,y * x)) = T(x,y). [para(4595(a,1),3960(a,1,2))]. 4602 T(x,((y / (y / x)) * y) / x) = T(x,y). [hyper(220,a,4206,a,b,4596,a(flip)),flip(a)]. 4603 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4596(a,1),4078(a,1,1,2))]. 4607 T(x,L(y,x,y)) = T(x,y). [hyper(220,a,4095,a(flip),b,4601,a(flip)),flip(a)]. 4609 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4607(a,1),118(a,1,2))]. 4611 L(x \ y,x,y / x) = L(x \ y,x,x \ y). [para(17(a,1),4594(a,1,3,1))]. 4614 T((x \ y) * x,y) = (x \ y) * x. [para(117(a,1),4562(a,2,1,2))]. 4615 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4562(a,1),118(a,1,2))]. 4616 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(120(a,1),4562(a,2,1,2))]. 4617 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4562(a,2),3908(a,1,1,1,2))]. 4618 T(x,(y \ x) * y) = x. [hyper(38,a,4614,a)]. 4619 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4618(a,1),3947(a,1,1)),flip(a)]. 4622 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(220,a,4234,a,b,4609,a(flip)),flip(a)]. 4628 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4547(a,1),118(a,1,2)),flip(a)]. 4629 ((x / (x / y)) * x) / y = (y \ x) * T(y,x). [para(4204(a,2),4591(a,1,1))]. 4630 L(x \ y,x,x \ y) = T(y / x,y). [hyper(649,a,4611,a),flip(a)]. 4631 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(120(a,1),4615(a,1,2,1,2)),flip(a)]. 4633 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4616(a,1),155(a,1,1,2))]. 4635 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(4050,a,4619,a)]. 4636 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(4068(a,1),4635(a,1,1))]. 4637 K(x \ T(y,x),x) = K(x \ y,x). [para(155(a,1),4636(a,1,1,2)),flip(a)]. 4639 K(T(x,y) \ y,x) = K(x \ y,x). [hyper(220,a,4108,a,b,4637,a(flip)),flip(a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [para(4629(a,1),4602(a,1,2))]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1141(a,1,1))]. 4645 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(220,a,4236,a,b,4578,a(flip)),flip(a)]. 4646 T(x * y,x) * T(x,y) != z * u | z \ ((x * y) * R(x,y,x)) = u. [para(4578(a,2),485(a,1))]. 4649 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(220,a,4537,a,b,4552,a)]. 4651 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1244(a,1),4554(a,2,1,1))]. 4657 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(21,a,4562,a(flip),b,4603,a)]. 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3909,a,4628,a),flip(a)]. 4662 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(150(a,2),4628(a,2,2,2,1))]. 4663 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(220,a,3686,a,b,4631,a(flip)),flip(a)]. 4664 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(151(a,2),4631(a,1,1,1,2))]. 4665 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4633(a,1),214(a,1,1)),flip(b)]. 4666 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4645(a,1),4577(a,1,2))]. 4667 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(220,a,4216,a,b,4649,a(flip)),flip(a)]. 4676 a(x,K(y \ 1,y),z) = 1. [hyper(220,a,3566,a(flip),b,4472,a(flip)),flip(a)]. 4678 L(x,K(y \ 1,y),z) = x. [hyper(36,a,4676,a)]. 4679 (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [para(4678(a,1),389(a,1,2,2,1))]. 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4476(a,1),17(a,1,2))]. 4683 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(220,a,1092,a,b,4559,a(flip)),flip(a)]. 4684 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2645,a,4682,a)]. 4685 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(160,a,1300,a,b,4684,a)]. 4687 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4445(a,1),23(a,1))]. 4688 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4446(a,1),23(a,1))]. 4693 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) != w | L(u,K(x \ 1,x) * z,y) = w. [para(4501(a,1),3561(a,1))]. 4696 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4665,a,4683,a)]. 4706 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4500(a,1,2))]. 4707 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4706(a,1,2,2))]. 4708 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(396,a,4707,a)]. 4709 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(220,a,2513,a(flip),b,4708,a)]. 4711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2648(a,1),4708(a,1,1)),flip(a)]. 4715 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4711,a),flip(a)]. 4716 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(220,a,3257,a(flip),b,4711,a(flip)),flip(a)]. 4721 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4716(a,1),62(a,1,2,1)),flip(a)]. 4722 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(62(a,1),4716(a,1,1,2,1)),flip(a)]. 4724 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(4722(a,1),43(a,2,1))]. 4725 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(217(a,1),4722(a,2,1,2))]. 4726 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(400(a,1),4722(a,2,1,2))]. 4727 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4722(a,1),212(a,1,2))]. 4738 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1770(a,1),4715(a,1,1)),flip(a)]. 4739 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4738(a,1),3633(a,1,1)),flip(a)]. 4740 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4738(a,1),3642(a,1,1))]. 4741 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(220,a,1313,a(flip),b,4739,a(flip)),flip(a)]. 4742 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4725(a,1),103(a,1,2))]. 4747 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y). [hyper(71,a,4726,a(flip),b,180,a),flip(a)]. 4750 x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. [hyper(4727,a,2320,a)]. 4751 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(54(a,1),4747(a,2,2,1,2))]. 4752 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(220,a,4696,a(flip),b,4751,a(flip)),flip(a)]. 4754 (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). [para(2876(a,1),4750(a,1,2)),flip(a)]. 4755 x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. [para(16(a,1),4754(a,1,1,2,1)),flip(a)]. 4756 (x * K(y,z)) * z = x * (z * K(y,z)). [para(16(a,1),4755(a,1,2,2,1)),flip(a)]. 4757 R(x,K(y,z),z) = x. [hyper(2879,a,4756,a)]. 4759 (x * (y * K(z,y))) / y = x * K(z,y). [hyper(87,a,4756,a)]. 4760 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(78,a,4756,a)]. 4763 (x * y) \ ((y * x) * x) = K(y,x) * x. [para(4757(a,1),452(a,1,1))]. 4764 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(4759(a,1),214(a,1,1)),flip(b)]. 4766 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(654,a,4760,a)]. 4767 L(x,K(y,x),z) = x. [para(2857(a,1),4766(a,1,1))]. 4769 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(4767(a,1),392(a,1,2,1))]. 4770 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(4767(a,1),393(a,1,2,1))]. 4776 (x * y) / x = K(x,y) * y. [hyper(4245,a,4763,a)]. 4777 K(x,y) = x \ T(x,y). [hyper(3710,a,4776,a),flip(a)]. 4778 (x * y) / x = y * K(x,y). [hyper(220,a,2858,a(flip),b,4776,a)]. 4782 T(K(x,y) * y,x) = y. [para(4776(a,1),154(a,1,1))]. 4784 (x * y) / x != z | y * K(x,y) = z. [para(4776(a,2),2862(a,1))]. 4785 K(x,y) = T(y,x) \ y. [hyper(220,a,4060,a,b,4777,a)]. 4786 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(220,a,3985,a,b,4777,a),flip(a)]. 4787 (T(x,y) * z) / (x * z) = K(x,y). [hyper(220,a,3980,a,b,4777,a),flip(a)]. 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(220,a,3696,a,b,4777,a),flip(a)]. 4791 K(x,y) = T(x,y) / x. [hyper(220,a,2939,a,b,4777,a)]. 4792 K(x,y) = T(x,y) * (x \ 1). [hyper(220,a,812,a,b,4777,a)]. 4793 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(220,a,3770,a(flip),b,4777,a),flip(a)]. 4794 x * T(x \ 1,y) = K(x \ 1,y). [hyper(220,a,2942,a(flip),b,4777,a),flip(a)]. 4795 x * T(x \ 1,y) = K(1 / x,y). [hyper(220,a,815,a(flip),b,4777,a),flip(a)]. 4800 x \ T(x,y) = T(K(x,y),x). [hyper(220,a,3043,a,b,4777,a(flip))]. 4801 T(x,y) = x * K(x,y). [para(4777(a,2),17(a,1,2)),flip(a)]. 4802 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4777(a,2,2)),flip(a)]. 4803 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4777(a,2,2)),flip(a)]. 4804 x * K(x,y) != z | T(x,y) = z. [para(4777(a,2),208(a,1,2)),flip(b)]. 4805 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4777(a,2),105(a,1,1)),flip(a)]. 4809 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4777(a,2),1049(a,1,1))]. 4810 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1385(a,1),4777(a,2,2))]. 4812 T(x,y) = K(x,y) * x. [para(4777(a,2),2940(a,1,1)),flip(a)]. 4813 K(x,y) * x != z | T(x,y) = z. [para(4777(a,2),2946(a,1,1))]. 4815 (x * K(y,x)) * y = y * x. [para(4777(a,2),3690(a,1,1,2))]. 4816 (x \ y) * K(x,x \ y) = y / x. [para(4777(a,2),3692(a,1,2))]. 4817 x * K(y,x) != z | (y * x) / y = z. [para(4777(a,2),3705(a,1,2))]. 4818 x * (K(x,y) * z) = T(x,y) * z. [para(4777(a,2),3915(a,1,2,1))]. 4819 x \ T(x,y \ x) = K(x,x / y). [para(3940(a,1),4777(a,2,2)),flip(a)]. 4821 T(x,y) * (x \ z) = K(x,y) * z. [para(4777(a,2),3920(a,1,1)),flip(a)]. 4822 K(x,x \ y) * y = x * (y / x). [para(4777(a,2),3975(a,1,1))]. 4824 T(x * K(y,x),y) = x. [para(2858(a,1),4782(a,1,1))]. 4825 K(x,y) = ((y * x) / y) \ x. [hyper(220,a,3702,a,b,4785,a)]. 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(220,a,2837,a,b,4785,a)]. 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(220,a,905,a,b,4785,a)]. 4830 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(220,a,3478,a(flip),b,4785,a),flip(a)]. 4834 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4785,a,b,905,a),flip(a)]. 4835 T(x,y) * K(y,x) = x. [para(4785(a,2),17(a,1,2))]. 4836 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(43(a,2),4785(a,2,1)),flip(a)]. 4837 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4785(a,2,1)),flip(a)]. 4844 K(x,y) * T(y,x) = y. [para(4785(a,2),2844(a,1,1))]. 4845 T(x,y) = K(y,x) \ x. [para(4785(a,2),2845(a,1,1)),flip(a)]. 4847 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4785(a,2),3151(a,1,2))]. 4848 K(x \ K(x,y),x) = K(x \ 1,x). [para(4785(a,2),3214(a,1,1,2))]. 4849 K(x,y) * ((y * x) / y) = x. [para(4785(a,2),3703(a,1,1))]. 4850 x / (x / y) = y * K(y \ x,y). [para(4785(a,2),3727(a,2,2))]. 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4785(a,2),3994(a,2,1))]. 4853 K(x,y) * (y * x) = x * y. [para(4785(a,2),3999(a,1,1))]. 4856 x * (T(x,y) \ z) = K(y,x) * z. [para(4785(a,2),4262(a,1,1)),flip(a)]. 4857 K(x,y) * (T(y,x) * z) = y * z. [para(4785(a,2),4263(a,1,1))]. 4858 K(x \ 1,y) / x = T(1 / x,y). [hyper(72,a,4791,a,b,843,a(flip))]. 4861 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4791(a,2),841(a,1))]. 4862 K(x \ 1,x) * (K(x,y) * z) = ((x \ 1) * T(x,y)) * z. [para(4791(a,2),3369(a,1,2,1))]. 4866 T(x,y) != x * z | K(x,y) = z. [para(4801(a,2),22(a,1))]. 4869 x \ T(x,y) != z | K(x,y) = z. [para(4801(a,2),209(a,1,2)),flip(b)]. 4870 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4801(a,2),115(a,2,1))]. 4872 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4801(a,2),1310(a,1,2)),flip(a)]. 4873 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3038(a,1),4801(a,2,2)),flip(a)]. 4875 K(x,y) * (x * z) = T(x,y) * z. [para(4801(a,2),4020(a,1,1)),flip(a)]. 4876 x * (y * K(x,y)) = T(x,y) * y. [para(4801(a,2),4756(a,1,1)),flip(a)]. 4878 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(220,a,41,a,b,4812,a(flip))]. 4883 x * (K(y,x) * y) = y * x. [para(4812(a,1),118(a,1,2))]. 4890 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4812(a,2),396(a,1,2,2))]. 4897 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4824(a,1),173(a,1,2,1)),flip(a)]. 4898 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4824(a,1),354(a,1,1,2)),flip(a)]. 4899 (x * (y * K(z,y))) * T(y * K(z,y),z) = (x * y) * (y * K(z,y)). [para(4824(a,1),1103(a,1,1,2)),flip(a)]. 4904 T(K(x,y \ 1) / y,x) = 1 / y. [para(3823(a,1),4824(a,1,1))]. 4905 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4824(a,1),4087(a,1,2,1)),flip(a)]. 4909 T(x,y) \ x != z | K(y,x) = z. [para(4835(a,1),209(a,1,2)),flip(b)]. 4915 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4845(a,2),2232(a,1,2,1))]. 4916 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3784,a,4778,a)]. 4917 x \ (T(x * y,x) / y) = K(x * y,x). [hyper(958,a,4778,a)]. 4921 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4778,a,b,1181,a)]. 4922 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(25,a,4778,a)]. 4925 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(220,a,4256,a(flip),b,4778,a(flip))]. 4926 x \ T(x * y,y) = y * K(x * y,y). [hyper(220,a,3957,a(flip),b,4778,a(flip)),flip(a)]. 4928 T(x,y) * K(y,T(x,y)) = x. [hyper(220,a,155,a(flip),b,4778,a(flip))]. 4929 ((x * y) * K(y \ 1,x * y)) / y = (y \ 1) * (x / (y \ 1)). [hyper(72,a,4778,a(flip),b,3281,a(flip))]. 4930 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(114(a,1),4778(a,1,1))]. 4933 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4778(a,1),354(a,2,1)),flip(a)]. 4934 T(x * K(y * x,x),y) = R(x,y,x). [para(4778(a,1),656(a,2,1)),flip(a)]. 4935 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4778(a,1),697(a,1,1))]. 4936 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4778(a,1),705(a,1,1))]. 4938 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4778(a,1),621(a,1,1))]. 4944 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1651(a,1),4778(a,1,1))]. 4945 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1921(a,1),4778(a,1,1))]. 4948 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x * K(z,y),y). [para(4756(a,1),4778(a,1,1))]. 4952 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4792(a,2),396(a,1,2,2))]. 4953 T(x,L(x,y,z) * u) * K(u,T(x,L(x,y,z) * u)) = L(x,u,L(x,y,z)). [hyper(21,a,1349,a(flip),b,4815,a)]. 4955 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4815(a,1),429(a,1,1,1))]. 4960 K(x,y) / x = 1 / ((y * x) / y). [para(4825(a,2),2979(a,1,1))]. 4961 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(72,a,2474,a(flip),b,4827,a(flip))]. 4963 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3520(a,1),4827(a,2,1,2))]. 4965 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. 4968 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(220,a,559,a(flip),b,4834,a(flip)),flip(a)]. 4969 T(x,y) = 1 / (x \ K(y,x)). [para(4834(a,1),63(a,1,2)),flip(a)]. 4970 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4834(a,1),274(a,1,2)),flip(b)]. 4972 K(x \ y,x) * (y / x) = x \ y. [para(17(a,1),4849(a,1,2,1))]. 4976 K(x \ y,x) * y = (x \ y) * x. [hyper(555,a,4853,a)]. 4980 ((x * K(y,z)) * (z * y)) / (y * z) = R(x,K(y,z),z * y). [para(4853(a,1),33(a,2,2)),flip(a)]. 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4853(a,1,2))]. 4983 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4853(a,1),390(a,1,1))]. 4986 K(x,T(y,x)) = K(x,y). [hyper(20,a,4835,a,b,4928,a)]. 4987 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),4986(a,1,2))]. 4989 K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)). [para(45(a,2),4986(a,1,2))]. 4990 K(x,y / x) = K(x,x \ y). [para(120(a,1),4986(a,1,2)),flip(a)]. 4992 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(177(a,1),4986(a,1,2)),flip(a)]. 4993 K(x,y * K(x,y)) = K(x,y). [para(4824(a,1),4986(a,1,2)),flip(a)]. 5000 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(220,a,4222,a(flip),b,4990,a(flip))]. 5001 x * K(y,y \ x) = y * (x / y). [para(4990(a,1),235(a,1,2))]. 5002 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3038(a,1),4804(a,1,2))]. 5008 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3985(a,2),4869(a,1))]. 5009 T(K(x,y),x) != z | K(x,y) = z. [para(4800(a,1),4869(a,1))]. 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(43(a,2),4909(a,1,1))]. 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(45(a,2),4909(a,1,1))]. 5016 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4054(a,2),4909(a,1))]. 5018 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(2738(a,2),5009(a,1))]. 5019 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2739(a,1),5009(a,1))]. 5022 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4787(a,1),214(a,1,1)),flip(b)]. 5027 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2198,a,4794,a)]. 5030 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(220,a,2205,a(flip),b,4794,a(flip)),flip(a)]. 5031 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(220,a,1222,a(flip),b,4794,a(flip)),flip(a)]. 5032 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(220,a,1169,a(flip),b,4794,a(flip)),flip(a)]. 5035 L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x). [para(4794(a,1),526(a,1,2)),flip(a)]. 5037 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4794(a,1),758(a,1,2))]. 5039 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4794(a,1),1032(a,1,1))]. 5040 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4794(a,1),1168(a,1,2)),flip(a)]. 5041 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4794(a,1),1220(a,1,1))]. 5043 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4794(a,1),1435(a,2,1))]. 5044 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4794(a,1),1613(a,1,1)),flip(a)]. 5045 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4794(a,1),2059(a,2,1,2))]. 5046 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4794(a,1),2203(a,1,1)),flip(a)]. 5052 (x * y) * T((x * y) \ y,z) = K(1 / x,z) * y. [para(4795(a,1),1414(a,2,1))]. 5059 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [para(4816(a,1),4759(a,1,1,2))]. 5061 x \ (T(x,y) * z) = K(x,y) * z. [hyper(78,a,4818,a)]. 5062 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,17,a(flip),b,4818,a),flip(a)]. 5063 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(20,a,4142,a,b,4818,a),flip(a)]. 5064 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,907,a,b,4818,a)]. 5066 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,4622,a(flip),b,4818,a)]. 5070 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4818(a,1),27(a,2,2,1)),flip(a)]. 5071 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(118(a,1),4818(a,1,2)),flip(a)]. 5072 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4818(a,1),209(a,1,2)),flip(b)]. 5074 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,K(x,y) * z,x). [para(4818(a,1),4573(a,1,2,1))]. 5075 K(x,x / y) = K(x,y \ x). [hyper(4869,a,4819,a),flip(a)]. 5076 K(x,(y \ x) \ x) = K(x,y). [para(63(a,1),5075(a,1,2)),flip(a)]. 5077 K(x,T(y,y \ x)) = K(x,y). [para(119(a,2),5076(a,1,2))]. 5078 K(x * y,T(x,y)) = K(x * y,x). [para(16(a,1),5077(a,1,2,2))]. 5081 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(928,a,4821,a)]. 5082 (x \ y) * T(T(x,x \ y),z) = K(x,z) * y. [hyper(783,a,4821,a)]. 5083 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(782,a,4821,a)]. 5085 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(220,a,3052,a,b,4821,a)]. 5086 T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)). [hyper(71,a,118,a(flip),b,4821,a)]. 5087 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(220,a,4202,a,b,4821,a(flip)),flip(a)]. 5088 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4270,a(flip),b,4821,a(flip))]. 5090 K(x,y) * ((z \ x) * z) = T(x,y) * K(z \ x,z). [para(99(a,1),4821(a,1,2)),flip(a)]. 5092 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4777(a,2),4821(a,1,2)),flip(a)]. 5095 R(x,K(y,y \ z),z) * (y * (z / y)) = (x * K(y,y \ z)) * z. [para(4822(a,1),114(a,1,2))]. 5096 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4822(a,1),396(a,1,1))]. 5102 K(x,y) * K(x \ 1,x) != z | (x \ K(x,y)) * x = z. [para(4848(a,1),337(a,1,2))]. 5107 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4082(a,2),4850(a,1,2)),flip(a)]. 5108 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4637(a,1),4850(a,2,2))]. 5112 T(x,y) \ (x * z) = K(y,x) * z. [hyper(966,a,4856,a)]. 5113 (T(x,y) \ z) / (x \ z) = K(y,x). [hyper(929,a,4856,a)]. 5114 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(927,a,4856,a),flip(a)]. 5115 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(78,a,4856,a)]. 5120 T(x,y) * (K(y,x) * z) = x * z. [para(4856(a,1),899(a,1,2))]. 5122 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4856(a,1),927(a,1))]. 5124 T(K(x,y),T(y,x) * z) = (T(y,x) * z) \ (y * z). [hyper(160,a,4857,a,b,17,a)]. 5127 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4857(a,1),555(a,1))]. 5128 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4857(a,1),390(a,1,1)),flip(a)]. 5130 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(591(a,1),4858(a,1,1)),flip(a)]. 5132 K(x,y) \ x = x * K(y,x). [hyper(71,a,4835,a(flip),b,4875,a)]. 5133 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(45(a,2),4875(a,2,1))]. 5137 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4875(a,1),555(a,1))]. 5141 K(T(x,y),y) = K(x,y). [hyper(4179,a,5132,a)]. 5142 K(x,y) \ 1 = K(y,x). [hyper(3317,a,5132,a)]. 5147 K(x / y,y) = K(y \ x,y). [para(120(a,1),5141(a,1,1)),flip(a)]. 5148 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(119(a,1),5141(a,1,1))]. 5150 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(664(a,1),5141(a,1,1)),flip(a)]. 5151 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(659(a,1),5141(a,1,1)),flip(a)]. 5153 K(x,y) * K(y,x) = 1. [para(5141(a,1),4167(a,1,1))]. 5154 K(x,y) * z != 1 | K(y,x) = z. [para(5141(a,1),4176(a,1,1))]. 5155 K(x,y) \ 1 != z | K(y,x) = z. [para(5141(a,1),4177(a,1,1))]. 5156 K(x,T(y,x)) != z | K(x,y) = z. [para(5141(a,1),4181(a,1))]. 5161 1 / K(x,y) = K(y,x). [hyper(220,a,2432,a,b,5142,a(flip)),flip(a)]. 5163 1 / K(x,y) != z | K(y,x) = z. [para(5142(a,1),274(a,1,2)),flip(b)]. 5165 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5142(a,1),1547(a,2,2,1))]. 5167 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5142(a,1),4792(a,2,2)),flip(a)]. 5168 K(x,x \ y) \ 1 = K(y / x,x). [para(4990(a,1),5142(a,1,1))]. 5172 (x * (y / x)) \ y = K(x \ y,x). [hyper(220,a,102,a,b,5147,a(flip)),flip(a)]. 5183 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(886(a,1),5156(a,1,2))]. 5193 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(671(a,1),4960(a,2,2))]. 5194 1 / (x * K(y,x)) = K(x,y) / x. [para(4778(a,1),4960(a,2,2)),flip(a)]. 5199 (x * K(y \ z,y)) * z != u * ((y \ z) * y) | R(x,K(y \ z,y),z) = u. [para(4976(a,1),418(a,2,2))]. 5203 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5000(a,1),4822(a,1,1))]. 5206 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5001(a,1),31(a,2,1)),flip(a)]. 5212 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5062(a,1),22(a,1))]. 5213 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(119(a,1),5062(a,1,2,1))]. 5216 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),5081(a,1,2,1))]. 5217 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),5088(a,1,2,1))]. 5219 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(4126,a,5112,a)]. 5221 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5112(a,1),208(a,1,2)),flip(b)]. 5228 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4835(a,1),5112(a,1,2)),flip(a)]. 5229 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5112(a,1),4856(a,1,2)),flip(a)]. 5237 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(971,a,5120,a)]. 5238 K(x,y) * (K(y,x) * z) = z. [hyper(20,a,4818,a(flip),b,5120,a)]. 5242 K(x,y) \ z = K(y,x) * z. [hyper(555,a,5238,a),flip(a)]. 5244 x / (K(y,z) * x) = K(z,y). [hyper(87,a,5238,a)]. 5245 K(x \ y,x) * (x * (y / x)) = y. [hyper(20,a,4822,a,b,5238,a)]. 5247 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(20,a,2122,a,b,5238,a)]. 5248 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,2122,a(flip),b,5238,a)]. 5249 K(x,y) * z != u | K(y,x) * u = z. [para(5238(a,1),22(a,1)),flip(a)]. 5252 K(x,y) \ z != u | K(y,x) * z = u. [para(5238(a,1),209(a,1,2)),flip(b)]. 5253 x / (K(y,z) * x) != u | K(z,y) = u. [para(5238(a,1),272(a,1,1)),flip(b)]. 5255 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5238(a,1),105(a,2,1))]. 5256 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5238(a,1),105(a,2,2))]. 5258 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5238(a,1),390(a,1,1)),flip(a)]. 5264 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(72,a,3336,a(flip),b,5242,a(flip))]. 5265 K(x,y) * (K(y,x) * z) != u | u = z. [para(5242(a,1),208(a,1,2))]. 5267 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5242(a,1),217(a,1,1))]. 5273 K(x,y) != z | K(y,x) \ 1 = z. [para(5244(a,1),204(a,1)),flip(b)]. 5276 K(x / y,y) != z | K(y \ x,y) = z. [para(5168(a,1),5155(a,1))]. 5277 (x * (y / x)) * K(x \ y,x) = y. [para(5172(a,1),17(a,1,2))]. 5279 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4537(a,2),5172(a,1,1))]. 5281 (K(x,y) / x) \ 1 = x * K(y,x). [para(5194(a,1),66(a,1,1))]. 5286 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5245(a,1),4556(a,2,1))]. 5293 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1764(a,2),4963(a,2,1))]. 5295 K(x \ 1,y) != z | K(1 / x,y) = z. [para(524(a,1),5018(a,1,1))]. 5298 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2499(a,1),5265(a,1,2))]. 5305 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(755(a,1),4786(a,1,1))]. 5306 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(3351,a,4790,a)]. 5307 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1062,a,4790,a)]. 5309 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(220,a,2113,a(flip),b,4790,a(flip)),flip(a)]. 5310 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1390(a,2,2))]. 5312 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1540(a,1,2))]. 5314 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1977(a,2,1))]. 5316 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),1974(a,2,2))]. 5317 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2366(a,1,1))]. 5318 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(220,a,4777,a,b,4810,a)]. 5345 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4830(a,1),17(a,1,2)),flip(a)]. 5353 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(615(a,1),4852(a,1,2,1))]. 5355 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4778(a,1),4852(a,1,2,1))]. 5356 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4878(a,1),4813(a,1))]. 5358 x \ (y * T(y \ x,x)) = K(x * (1 / y),x). [para(4555(a,1),4917(a,1,2))]. 5362 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(220,a,4778,a(flip),b,4933,a),flip(a)]. 5364 T(x * K(x * y,x),y) = R(x,y,x). [hyper(220,a,4580,a(flip),b,4933,a)]. 5365 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4933,a,b,4778,a(flip))]. 5370 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4933(a,2),4784(a,1))]. 5374 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(17(a,1),5063(a,1,1,1)),flip(a)]. 5377 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(220,a,4091,a,b,5064,a),flip(a)]. 5380 ((x * y) / x) * (K(y,x) * z) = y * z. [para(5087(a,1),17(a,1,2))]. 5381 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(220,a,3050,a(flip),b,5092,a)]. 5390 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5229(a,1),114(a,2,1))]. 5391 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5229(a,1),555(a,1))]. 5394 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(87,a,5237,a)]. 5396 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(254(a,2),5237(a,1,2,2,1))]. 5407 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(71,a,2858,a(flip),b,5355,a),flip(a)]. 5412 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4857(a,1),5380(a,1,2))]. 5413 ((x * y) / x) * z = y * (K(x,y) * z). [para(5238(a,1),5380(a,1,2))]. 5415 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(893(a,1),5394(a,1,2))]. 5416 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1219(a,1),5394(a,1,2))]. 5429 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(220,a,4922,a(flip),b,5413,a(flip)),flip(a)]. 5430 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(17(a,1),5413(a,1,1,1)),flip(a)]. 5431 T(x,y) * (K(x * y,T(x,y)) * z) = R(x,y,T(x,y)) * z. [para(170(a,1),5413(a,1,1)),flip(a)]. 5432 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5413(a,1),704(a,1,1))]. 5439 R(x,K(y,x),z) = x. [hyper(4687,a,5429,a)]. 5442 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5439(a,1),423(a,1,1,1)),flip(a)]. 5446 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(220,a,3699,a(flip),b,4921,a(flip)),flip(a)]. 5447 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5446(a,1),1836(a,1,1,2))]. 5452 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(118(a,1),5022(a,1,2))]. 5456 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(5112(a,1),5127(a,1,2))]. 5458 (x \ y) * T(T(x,x \ y),z) != u | K(x,z) * y = u. [para(171(a,2),5137(a,1))]. 5459 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5115(a,1),5137(a,1,2))]. 5464 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2040(a,1),5221(a,1,2))]. 5467 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4777(a,2),4793(a,1,1)),flip(a)]. 5468 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(66(a,1),5467(a,2,1,2))]. 5469 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5467(a,2),118(a,1,2))]. 5470 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3806(a,1),5467(a,2,1))]. 5476 L(x,T(K(y,z),u),L(y,w,v5)) = x. [para(5468(a,1),4248(a,1,2))]. 5477 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5345(a,1),5468(a,1,2))]. 5478 L(x,T(K(y,z),u),L(y,w,v5)) = v6 \ (v6 * x). [hyper(220,a,16,a,b,5476,a)]. 5480 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4815,a,b,4897,a),flip(a)]. 5486 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(220,a,4778,a(flip),b,4935,a),flip(a)]. 5487 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4935,a,b,4776,a(flip))]. 5489 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4936,a,b,4778,a(flip))]. 5490 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4936(a,2),4068(a,1,1))]. 5491 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4936(a,2),4825(a,2,1)),flip(a)]. 5492 K((x / y) \ 1,z) = K(y / x,z). [hyper(220,a,4786,a(flip),b,5031,a(flip))]. 5496 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(741(a,1),5031(a,1,1))]. 5497 K(1 / (x / y),z) = K(y / x,z). [hyper(5295,a,5492,a)]. 5502 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5492(a,1),5142(a,1,1)),flip(a)]. 5503 K(x / (y * x),z) = K(1 / y,z). [para(18(a,1),5497(a,1,1,2)),flip(a)]. 5504 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5497(a,1),3068(a,1))]. 5509 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5503(a,2),3068(a,1))]. 5510 K(x,(y / z) \ 1) = K(x,z / y). [hyper(220,a,5142,a(flip),b,5502,a)]. 5511 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5502(a,2),5155(a,1))]. 5514 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),5510(a,1,2,1)),flip(a)]. 5516 K(x,(y \ z) / z) = K(x,y \ 1). [para(63(a,1),5510(a,1,2,1)),flip(a)]. 5517 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(115(a,2),5510(a,1,2,1))]. 5523 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(17(a,1),5509(a,1,1,2))]. 5529 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1219(a,1),5032(a,1,2))]. 5531 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1085,a,5040,a)]. 5533 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(854,a,5040,a),flip(a)]. 5534 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(757,a,5040,a),flip(a)]. 5535 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(631,a,5040,a),flip(a)]. 5536 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(220,a,893,a(flip),b,5040,a(flip)),flip(a)]. 5543 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(220,a,811,a(flip),b,5041,a)]. 5547 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5016,a,5044,a)]. 5549 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(66(a,1),5547(a,2,1,1))]. 5551 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3041(a,1),5547(a,2,1))]. 5554 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5551(a,1),5161(a,1,2)),flip(a)]. 5559 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(220,a,1160,a(flip),b,5059,a(flip)),flip(a)]. 5560 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5083(a,2),161(a,2)),flip(a)]. 5563 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5108(a,1),4306(a,1,1,1))]. 5568 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5130(a,1),41(a,1,1)),flip(a)]. 5571 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(220,a,3748,a,b,5203,a)]. 5576 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5213(a,1),5265(a,1,2)),flip(b)]. 5577 K(x / (y \ 1),y) = K(y * x,y). [hyper(220,a,5219,a(flip),b,5305,a(flip))]. 5578 K(x * (y \ (x \ 1)),x) = K(y \ 1,x). [hyper(5523,a,5577,a),flip(a)]. 5589 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5365(a,1),208(a,1,2)),flip(b)]. 5596 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5249,a,5374,a)]. 5617 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(120(a,1),5469(a,1,2,2,1)),flip(a)]. 5621 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(220,a,5470,a(flip),b,5554,a(flip))]. 5622 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(220,a,2439,a(flip),b,5621,a(flip)),flip(a)]. 5623 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5621(a,1),4827(a,2,1)),flip(a)]. 5624 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5622(a,1),184(a,1,2)),flip(a)]. 5625 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5622(a,1),4828(a,2,2)),flip(a)]. 5626 K(K(x,y),z) = K(z,K(y,x)). [hyper(220,a,5167,a(flip),b,5623,a(flip)),flip(a)]. 5627 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5626(a,1),4801(a,2,2)),flip(a)]. 5628 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5626(a,1),4812(a,2,1)),flip(a)]. 5629 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5626(a,1),4875(a,1,1))]. 5631 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5625(a,1),5430(a,1,2)),flip(a)]. 5632 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5627(a,1),5265(a,1,2)),flip(b)]. 5634 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(18(a,1),5559(a,1,1)),flip(a)]. 5636 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5571(a,1),5244(a,1,2))]. 5643 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3520(a,1),4803(a,1,2,1)),flip(a)]. 5644 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3520(a,1),4837(a,1,1,1)),flip(a)]. 5654 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5031(a,1),5008(a,1))]. 5658 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3671(a,2),5293(a,2,1,2))]. 5659 T(x,K(y,y \ 1)) != z | z = x. [para(2667(a,1),5298(a,1))]. 5661 T(x / y,y) != z | y \ x = z. [para(1505(a,1),5659(a,1)),flip(b)]. 5662 T(x,x \ y) != z | (x \ y) \ y = z. [para(3053(a,1),5659(a,1)),flip(b)]. 5667 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(45(a,2),5662(a,1))]. 5677 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(2127(a,2),5632(a,1))]. 5678 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5167(a,1),5677(a,1))]. 5679 R(x,K(y,z),T(z,u)) = x. [hyper(418,a,4769,a)]. 5680 (x * K(y,z)) * T(z,y) = x * z. [para(4844(a,1),4769(a,2,2))]. 5681 (x / T(y,z)) * y = x * K(z,y). [hyper(1127,a,5680,a)]. 5683 (x * y) / T(y,z) = x * K(z,y). [hyper(87,a,5680,a)]. 5684 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,5680,a)]. 5685 (x / y) * K(z,y) = x / T(y,z). [hyper(72,a,19,a(flip),b,5680,a),flip(a)]. 5686 (x * T(y,z)) * K(z,y) = x * y. [hyper(21,a,1103,a(flip),b,5680,a)]. 5702 (x \ y) * K(y,x) = x \ T(y,x). [hyper(220,a,4657,a(flip),b,5683,a(flip))]. 5710 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(5685(a,1),269(a,1))]. 5713 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(160,a,5686,a,b,5238,a)]. 5717 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(71,a,17,a(flip),b,5686,a)]. 5719 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(5686(a,1),209(a,1,2)),flip(b)]. 5722 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(5686(a,1),421(a,1,2)),flip(a)]. 5726 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5702(a,1,1)),flip(a)]. 5732 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(893(a,1),5717(a,1,1))]. 5733 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(742(a,1),5717(a,1,1))]. 5734 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1410(a,1),5717(a,1,1))]. 5740 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(17(a,1),5719(a,1,2))]. 5745 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(742(a,1),5740(a,1,1))]. 5751 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(220,a,2359,a,b,5027,a(flip)),flip(a)]. 5753 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4794(a,1),5027(a,1,1))]. 5754 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(66(a,1),5753(a,1,1,1)),flip(a)]. 5755 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5753(a,1),114(a,1,1))]. 5756 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3041(a,1),5753(a,1,1)),flip(a)]. 5757 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5754(a,1),5753(a,1,1)),flip(a)]. 5763 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4794(a,1),5030(a,1,1))]. 5765 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3041(a,1),5763(a,1,1)),flip(a)]. 5767 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5549(a,1),5763(a,1,1)),flip(a)]. 5769 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5765(a,1),5142(a,1,1)),flip(a)]. 5770 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5765(a,1),5242(a,1,1)),flip(a)]. 5772 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5037(a,2),1508(a,1,1))]. 5775 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5039(a,2),5043(a,1,2))]. 5776 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5046(a,1),5016(a,1))]. 5778 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(3039(a,1),5052(a,2,1))]. 5779 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(5085(a,1),22(a,1)),flip(a)]. 5788 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1061(a,1),5309(a,1,1))]. 5794 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4631(a,1),5415(a,1,2))]. 5795 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4663(a,1),5416(a,1,2))]. 5796 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5531(a,1),17(a,1,2))]. 5803 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5510(a,1),5617(a,1,1)),flip(a)]. 5806 T(T(x,K(y,z)),K(z,y)) = x. [hyper(20,a,5377,a,b,5629,a(flip)),flip(a)]. 5808 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5806(a,1),118(a,1,2)),flip(a)]. 5827 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(66(a,1),5775(a,1,2,1,1))]. 5829 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3041(a,1),5775(a,1,2,1))]. 5830 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5142(a,1),5796(a,1,2,2,1,1,2))]. 5831 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(21,a,5681,a,b,5035,a),flip(a)]. 5833 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4667(a,1),5831(a,1,2))]. 5838 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5242(a,1),5256(a,1,1))]. 5839 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(220,a,4248,a(flip),b,5267,a(flip))]. 5840 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1862,a,5447,a)]. 5841 (x * y) \ T(x,y) = (y * x) \ x. [hyper(220,a,4284,a(flip),b,5840,a(flip)),flip(a)]. 5842 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(220,a,333,a(flip),b,5841,a(flip))]. 5853 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(20,a,4715,a(flip),b,5486,a)]. 5854 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(20,a,4709,a(flip),b,5486,a)]. 5857 L(K(x,x \ 1),y,z) = K(x,L(x \ 1,u,w)). [hyper(220,a,4474,a,b,5853,a),flip(a)]. 5859 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(220,a,4467,a,b,5854,a),flip(a)]. 5860 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5854(a,2),2525(a,1,1))]. 5867 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5114(a,1),5576(a,1))]. 5868 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(890(a,2),5867(a,1))]. 5876 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5751(a,1),594(a,1,2))]. 5877 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(5776,a,5860,a)]. 5878 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(220,a,5859,a(flip),b,5877,a)]. 5880 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5878(a,2),5153(a,1,1))]. 5881 R(x,K(y,z),R(z,u,w)) = x. [hyper(418,a,4770,a)]. 5883 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [hyper(2537,a,4862,a)]. 5884 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5102,a,5883,a)]. 5885 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(220,a,2405,a(flip),b,4961,a)]. 5886 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3605,a,5885,a)]. 5887 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5589,a,5107,a)]. 5888 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4639(a,1),5887(a,1,1,2))]. 5889 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(220,a,4938,a(flip),b,5888,a(flip)),flip(a)]. 5890 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(5889(a,2),4616(a,1,1,1,2))]. 5899 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4790(a,1),5306(a,1,1))]. 5901 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3806(a,1),5899(a,1,1)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(220,a,5769,a(flip),b,5901,a(flip)),flip(a)]. 5907 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(298(a,1),5901(a,1,2,1)),flip(a)]. 5909 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5906(a,1),274(a,1,2)),flip(b)]. 5914 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(17(a,1),5307(a,1,2,2,1))]. 5925 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),5533(a,2,2))]. 5926 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4665,a,5536,a),flip(a)]. 5927 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(220,a,55,a(flip),b,5643,a)]. 5930 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5644(a,2),210(a,1))]. 5932 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(220,a,5884,a(flip),b,5658,a)]. 5933 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(118(a,1),5733(a,1,1,2))]. 5934 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(742(a,1),5733(a,1,1,2))]. 5935 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1219(a,1),5733(a,1,1,2))]. 5941 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5901(a,1),5770(a,1,1)),flip(a)]. 5942 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(209,a,5941,a)]. 5943 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5941(a,2),83(a,1)),flip(b)]. 5944 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5942(a,1),22(a,1)),flip(a)]. 5946 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5769(a,2),5943(a,1))]. 5949 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(220,a,5794,a(flip),b,5795,a(flip))]. 5951 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(72,a,5886,a(flip),b,2487,a)]. 5955 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(220,a,1865,a,b,4965,a(flip)),flip(a)]. 5957 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5133(a,1),5253(a,1,2))]. 5959 T(x,y) * (K(x * y,x) * z) = R(x,y,T(x,y)) * z. [para(5078(a,1),5431(a,1,2,1))]. 5960 T(x,y) * K(x * y,x) = R(x,y,T(x,y)). [hyper(4424,a,5959,a(flip))]. 5961 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(220,a,4576,a(flip),b,5960,a)]. 5963 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5961,a(flip),b,4818,a),flip(a)]. 5964 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5961(a,1),5072(a,1,2))]. 5965 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2126,a,5963,a)]. 5966 x \ R(x,x \ y,x) = K(x,x \ y) * K(y,x). [para(17(a,1),5963(a,1,2,1)),flip(a)]. 5967 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5963(a,1),2126(a,1))]. 5969 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(17(a,1),5965(a,1,1,1)),flip(a)]. 5972 x \ R(x,x \ y,x) != z | K(y,x) * K(x,x \ y) = z. [para(5966(a,2),2126(a,1))]. 5975 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4938(a,1),5563(a,1,1)),flip(a)]. 5976 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(220,a,43,a,b,5975,a)]. 5977 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5976(a,1),47(a,1,1)),flip(a)]. 5980 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(66(a,1),5833(a,1,2,2)),flip(a)]. 5983 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5154,a,5880,a)]. 5984 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [para(378(a,1),5983(a,2,1))]. 5985 L(x,y,z) \ K(L(x,u,w),x \ 1) != v5 | 1 / L(x,y,z) = v5. [para(5983(a,1),1774(a,1,2))]. 5987 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,5984,a(flip),b,1760,a(flip))]. 5989 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,5987,a(flip),b,1776,a(flip)),flip(a)]. 5990 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(5987(a,1),4872(a,1,2)),flip(a)]. 5991 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(4685(a,2),5990(a,1,2))]. 5994 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3753,a,5991,a)]. 5995 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5994(a,1),19(a,1,1))]. 5996 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(160,a,5995,a,b,1300,a)]. 5999 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1659,a,4930,a),flip(a)]. 6000 (x * (y * K(z,y))) / (x * K(z,y)) != y * u | K(x * K(z,y),y) = u. [para(4948(a,2),22(a,1))]. 6005 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(118(a,1),5534(a,2,2))]. 6009 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(66(a,1),5734(a,1,1,1,2,1))]. 6011 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(484(a,1),5757(a,1,1,1)),flip(a)]. 6012 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(55(a,1),5772(a,2,2,2,1,2))]. 6014 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4794(a,1),6012(a,2,2))]. 6015 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(18(a,1),6014(a,1,1,1))]. 6018 ((x * y) * K(y \ 1,z)) / y != u | x * K(y \ 1,z) = u. [para(6015(a,1),272(a,1,1)),flip(b)]. 6019 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(6018,a,4929,a),flip(a)]. 6022 (x * K(y \ 1,x * y)) \ x = K(x / (y \ 1),y \ 1). [para(6019(a,1),102(a,1,1))]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(66(a,1),5827(a,2,1,1))]. 6041 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),6040(a,1,2,2)),flip(a)]. 6043 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(72,a,6041,a,b,xx)]. 6044 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6041,a,b,118,a)]. 6047 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3041(a,1),5829(a,2,1))]. 6049 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(16(a,1),6047(a,1,2,2)),flip(a)]. 6051 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(118(a,1),6049(a,2,2))]. 6059 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5040(a,2),5830(a,1,2))]. 6065 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5150(a,1),5999(a,1,2)),flip(a)]. 6066 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(220,a,4925,a(flip),b,6065,a)]. 6067 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),6066(a,1,1,1)),flip(a)]. 6069 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,6059,a)]. 6071 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6059(a,1),22(a,1))]. 6074 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6069(a,1),4556(a,1,1))]. 6075 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(16(a,1),6074(a,1,1,2,1)),flip(a)]. 6077 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6075(a,2),23(a,1))]. 6087 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5238(a,1),5206(a,1,2,2)),flip(a)]. 6088 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(118(a,1),5745(a,1,1,2))]. 6089 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(793(a,1),5745(a,1,1,2))]. 6091 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4596(a,1),6067(a,1,1)),flip(a)]. 6092 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(220,a,3962,a(flip),b,6091,a)]. 6094 (x * (y * K(z,y))) * y = (x * y) * (y * K(z,y)). [para(4824(a,1),4899(a,1,2))]. 6095 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(21,a,4756,a,b,6094,a),flip(a)]. 6097 L(K(x,y),y,z) = K(x,y). [hyper(388,a,6095,a)]. 6098 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(271,a,6095,a),flip(a)]. 6103 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(220,a,4993,a,b,6097,a)]. 6107 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(220,a,5907,a(flip),b,6097,a(flip)),flip(a)]. 6110 L(K(x,y),x,z) = K(y,x) \ 1. [para(6097(a,1),5906(a,1,1)),flip(a)]. 6111 L(K(x,y),x,z) = K(x,y). [hyper(220,a,5142,a(flip),b,6110,a)]. 6112 L(K(x,y),x,z) != u | K(x,y) = u. [para(6110(a,2),5155(a,1))]. 6115 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(220,a,5765,a,b,6111,a(flip)),flip(a)]. 6116 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(220,a,4805,a,b,6111,a(flip)),flip(a)]. 6121 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [hyper(220,a,5717,a,b,6107,a),flip(a)]. 6126 K(x,y \ (y / z)) = K(x,z \ 1). [para(66(a,1),6107(a,1,2,1)),flip(a)]. 6133 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6107(a,1),5312(a,1,2))]. 6134 K(x,y / z) * y = y * K(x,z \ y). [para(6107(a,1),5803(a,1,2)),flip(a)]. 6136 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6107(a,1),5899(a,1,1)),flip(a)]. 6137 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4777(a,1),6112(a,1,1))]. 6139 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(220,a,333,a(flip),b,6116,a(flip)),flip(a)]. 6140 (x * y) * K(y,z) = x * T(y,z). [para(6116(a,1),17(a,1,2))]. 6141 ((x / T(y,z)) * y) \ x = K(y,z). [para(19(a,1),6116(a,1,2))]. 6142 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6116(a,1),208(a,1,2)),flip(b)]. 6152 (x * K(y,z)) / T(y,z) = x / y. [hyper(506,a,6140,a)]. 6153 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(496,a,6140,a)]. 6154 x * T(x \ y,z) = y * K(x \ y,z). [hyper(479,a,6140,a),flip(a)]. 6155 (x / y) * T(y,z) = x * K(y,z). [hyper(271,a,6140,a),flip(a)]. 6157 (x \ y) * T(T(x,x \ y),z) = y * K(T(x,x \ y),z). [para(157(a,1),6140(a,1,1)),flip(a)]. 6160 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6140(a,1),452(a,1,2))]. 6161 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6140(a,1),421(a,1,1))]. 6164 (x * K(y,z)) * K(u,K(z,y)) = x * T(K(y,z),u). [para(5626(a,1),6140(a,1,2))]. 6165 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6140(a,1),5680(a,1,1))]. 6169 (x * K(y,z)) \ x = K(z,y). [para(5681(a,1),6141(a,1,1))]. 6171 K(x / (y \ 1),y \ 1) = K(x * y,y \ 1). [hyper(220,a,6022,a(flip),b,6169,a(flip)),flip(a)]. 6172 (x * K(y,z)) * K(z,y) = x. [para(6169(a,1),17(a,1,2))]. 6173 x / K(y,z) = x * K(z,y). [para(6169(a,1),63(a,1,2))]. 6174 x * K(y,z) != u | u * K(z,y) = x. [para(6169(a,1),86(a,1,2)),flip(b)]. 6175 (x * K(y,z)) * K(z,y) != u | u = x. [para(6169(a,1),208(a,1,2))]. 6176 x / K(y,z) != u | x * K(z,y) = u. [para(6169(a,1),274(a,1,2)),flip(b)]. 6179 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6169(a,2),5242(a,1,1))]. 6182 K(x,L(y \ 1,z,u) \ 1) = (w * L(K(y,x),z,u)) \ w. [para(5765(a,1),6169(a,1,1,2)),flip(a)]. 6187 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(160,a,6172,a,b,5238,a)]. 6190 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(21,a,5808,a,b,6172,a)]. 6192 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(21,a,5634,a,b,6172,a)]. 6194 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(21,a,2122,a,b,6172,a)]. 6197 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6172(a,1),209(a,1,2)),flip(b)]. 6202 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(6172(a,1),396(a,1,2,2))]. 6203 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6172(a,1),597(a,1,1,2))]. 6205 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6172(a,1),4756(a,1,1)),flip(a)]. 6206 (x * K(y,z)) * y = x * T(y,z). [para(6172(a,1),5680(a,1,1)),flip(a)]. 6207 R(x * K(y,z),K(z,y),y * z) = (x * (y * z)) / (z * y). [para(6172(a,1),4980(a,1,1,1)),flip(a)]. 6208 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6173(a,1),219(a,1,1))]. 6212 T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)). [para(6152(a,1),120(a,1,1)),flip(a)]. 6213 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6152(a,1),207(a,1,1)),flip(b)]. 6215 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6153(a,1),818(a,1,1,2)),flip(a)]. 6218 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6153(a,1),5636(a,1,1))]. 6219 T(x,y \ (y / z)) = (u / x) \ (u * K(x,z \ 1)). [para(6126(a,1),6153(a,1,2,2)),flip(a)]. 6224 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(6155(a,1),161(a,2))]. 6225 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6155(a,1),1113(a,1,1))]. 6231 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,6155,a(flip),b,6206,a)]. 6232 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1153,a,b,6206,a)]. 6233 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,118,a,b,6206,a(flip)),flip(a)]. 6234 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [hyper(71,a,6206,a(flip),b,5680,a)]. 6236 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6206(a,1),27(a,2,1,2)),flip(a)]. 6237 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6206(a,1),150(a,2,1))]. 6241 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6095(a,1),6206(a,1,1))]. 6246 L(x,K(x,y),z) = x. [hyper(4890,a,6225,a)]. 6250 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6246(a,1),394(a,1,2,1))]. 6259 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4861,a,6115,a)]. 6260 K(((x * y) \ x) \ 1,z) = K(y,z). [para(150(a,1),6115(a,1,1,1))]. 6261 K((x \ y) \ 1,z) = K(y \ x,z). [para(298(a,1),6115(a,1,1,1))]. 6267 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6260(a,1),4873(a,1,2))]. 6270 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(220,a,5529,a,b,6261,a(flip)),flip(a)]. 6275 K(x \ (x / y),z) = K(y \ 1,z). [para(66(a,1),6261(a,1,1,1)),flip(a)]. 6281 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6261(a,1),5531(a,2,2))]. 6283 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6261(a,1),5926(a,1,2))]. 6284 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6261(a,1),6005(a,1,2))]. 6299 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(4921(a,1),6275(a,1,1))]. 6311 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(220,a,3056,a,b,6299,a(flip)),flip(a)]. 6312 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(220,a,3038,a,b,6311,a)]. 6313 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(63(a,1),6312(a,1,1,1))]. 6316 x * (T(y,x) * K(z,y)) = (y * x) * K(z,y). [hyper(220,a,5412,a(flip),b,6098,a(flip)),flip(a)]. 6321 T(K(x,y / z),y) = K(x,z \ y). [hyper(160,a,6134,a,b,xx)]. 6324 x * K(y,(z * x) \ x) = K(y,z \ 1) * x. [para(5514(a,1),6134(a,1,1)),flip(a)]. 6325 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(6321(a,1),4072(a,1,2)),flip(a)]. 6327 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(400(a,1),6137(a,1))]. 6328 K(x * (1 / y),x) = K(y \ x,x). [hyper(220,a,5358,a(flip),b,6139,a(flip)),flip(a)]. 6329 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K((x * y) \ (x * (y * z)),u). [para(31(a,2),6139(a,1,2,2,1))]. 6330 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6139(a,1),400(a,1,1))]. 6332 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [para(742(a,1),6139(a,1,2))]. 6333 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * (1 / (1 / K(z \ (x * y),u))). [para(6139(a,1),2428(a,1,2,2,2)),flip(a)]. 6335 K((x \ 1) \ y,y) = K(y * x,y). [para(63(a,1),6328(a,1,1,2)),flip(a)]. 6336 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5560,a,6154,a),flip(a)]. 6340 (x * K(K(y,z) \ x,u)) * K(z,y) = T(x * K(z,y),u). [para(6154(a,1),6074(a,1,1))]. 6341 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6154(a,1),5745(a,1,1,2))]. 6342 K((x \ y) \ y,y) = K(x,y). [hyper(220,a,2856,a(flip),b,6336,a)]. 6343 T(K(x / y,z),x) = K(y \ x,z). [para(66(a,1),6336(a,1,1,1)),flip(a)]. 6344 K(x / y,x) = K(y \ x,x). [para(66(a,1),6342(a,1,1,1)),flip(a)]. 6348 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,103,a(flip),b,6165,a)]. 6349 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1343(a,1),6165(a,1,1))]. 6350 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6165(a,1),4104(a,1,2))]. 6359 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6187(a,1),5806(a,1,1))]. 6362 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(72,a,4756,a(flip),b,6205,a)]. 6364 ((x / y) * K(y,z)) \ x = y * K(z,y). [hyper(71,a,19,a(flip),b,6205,a)]. 6371 T(K(x,y),x * z) = K(T(x,z),y). [hyper(160,a,4875,a,b,6232,a)]. 6373 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6232(a,1),6169(a,1,1))]. 6397 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6364(a,1),269(a,1,1,2))]. 6398 T(K(x,y),T(y,x) * z) = K(x,T(y,z)). [hyper(220,a,5124,a,b,6373,a(flip)),flip(a)]. 6400 K(x,T(y,T(y,x) \ z)) = T(K(x,y),z). [para(17(a,1),6398(a,1,2)),flip(a)]. 6412 K(L(x,x \ 1,y),z) = K(x,z). [para(63(a,1),6313(a,2,1))]. 6418 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6121(a,1),5740(a,1))]. 6420 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6418(a,1,2,1))]. 6423 (x * y) * L((x \ z) / y,y,x) = z * K(y,(x * y) \ z). [para(713(a,2),6133(a,2,2)),flip(a)]. 6426 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5276,a,6171,a)]. 6429 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(220,a,5086,a(flip),b,6212,a(flip)),flip(a)]. 6430 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(6429(a,1),17(a,1,2))]. 6431 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(18(a,1),6430(a,1,2,1)),flip(a)]. 6432 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(72,a,6241,a(flip),b,114,a)]. 6436 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5726,a(flip),b,6281,a(flip))]. 6437 K((x \ 1) \ y,y) = K(x * y,y). [hyper(20,a,4926,a(flip),b,6281,a(flip))]. 6440 K((1 / x) \ y,x) = K(x * y,x). [hyper(220,a,3829,a,b,6436,a(flip)),flip(a)]. 6442 K(x * y,y) = K(y * x,y). [hyper(220,a,6335,a(flip),b,6437,a(flip))]. 6447 T(x,y) * K(y * x,x) = R(x,y,x). [para(6442(a,2),5961(a,1,2))]. 6448 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6442(a,2),5963(a,1,2))]. 6451 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6206(a,1),6448(a,1,2,1))]. 6452 x * (K(y,z) * T(z,x)) = (z * x) * K(y,z). [para(2863(a,1),6316(a,1,2))]. 6462 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(220,a,4228,a(flip),b,6426,a(flip))]. 6463 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(6426(a,1),234(a,1,2)),flip(a)]. 6464 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6462(a,1),5477(a,1,2,2))]. 6471 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(793(a,1),6327(a,1,2))]. 6473 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(742(a,1),6327(a,1,2))]. 6479 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(4646,a,6349,a)]. 6480 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(220,a,4666,a(flip),b,6479,a(flip)),flip(a)]. 6486 (x * K(y,z)) * T(K(z,y),u) = x * K(u,K(y,z)). [para(6172(a,1),6164(a,1,1)),flip(a)]. 6490 T(x,y \ (y / z)) = T(x,z \ 1). [hyper(220,a,6153,a(flip),b,6219,a)]. 6492 T(x,(y \ z) \ 1) = T(x,z \ y). [para(63(a,1),6490(a,1,2,2)),flip(a)]. 6498 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6492(a,1),5662(a,1))]. 6500 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4752(a,1),6270(a,1,2))]. 6505 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(20,a,6283,a,b,6284,a)]. 6514 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = z * K(z * (x \ y),y \ x). [para(6107(a,1),6463(a,2,2))]. 6515 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(220,a,5477,a(flip),b,6464,a(flip))]. 6516 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6515(a,2),5167(a,1,1))]. 6518 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5677,a,6516,a),flip(a)]. 6519 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5678,a,6518,a),flip(a)]. 6521 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(220,a,5881,a(flip),b,6208,a(flip))]. 6522 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(220,a,5679,a(flip),b,6208,a(flip))]. 6524 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5066(a,1),6522(a,1,2)),flip(a)]. 6525 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6350(a,1),597(a,1))]. 6530 x * K(T(y,y \ x),z) = K(y,z) * x. [hyper(5458,a,6157,a),flip(a)]. 6531 K(x,T(y,y \ z)) = (K(y,x) * z) \ z. [para(6530(a,1),6169(a,1,1)),flip(a)]. 6532 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(5946,a,6182,a),flip(a)]. 6533 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6532(a,1),17(a,1,2))]. 6535 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6532(a,1),86(a,1,2)),flip(b)]. 6537 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),6532(a,1,1))]. 6538 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(384(a,1),6532(a,1,1))]. 6539 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(21,a,103,a,b,6533,a)]. 6541 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6539(a,1),209(a,1,2)),flip(b)]. 6542 (x * (y \ K(y,z))) * L(K(z,y),y \ 1,x) = x * (y \ 1). [para(3334(a,1),6539(a,1,1,2))]. 6544 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(627,a,6259,a),flip(a)]. 6547 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1838(a,1),6544(a,2,2))]. 6551 (x * K(K(y,z) * x,u)) * K(y,z) = T(x * K(y,z),u). [para(5242(a,1),6340(a,1,1,2,1))]. 6552 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(220,a,43,a,b,6348,a)]. 6557 (x \ 1) \ (y * K(K(x,x \ 1) * y,z)) = (1 / x) \ T(y * K(x,x \ 1),z). [hyper(71,a,6551,a(flip),b,2908,a),flip(a)]. 6558 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4824(a,1),6552(a,2,1))]. 6560 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6237(a,2),4952(a,1))]. 6561 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6471,a,6500,a),flip(a)]. 6568 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(6420,a,6136,a),flip(a)]. 6569 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(17(a,1),6568(a,2,2,1))]. 6570 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(17(a,1),6568(a,2,2,2))]. 6571 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(66(a,1),6568(a,1,1,2)),flip(a)]. 6572 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(105(a,2),6568(a,2,2))]. 6573 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6112,a,6572,a),flip(a)]. 6576 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(400(a,1),6573(a,1,2)),flip(a)]. 6584 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6569(a,1),43(a,2,1))]. 6585 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6569(a,1),103(a,1,2))]. 6587 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6571(a,1,2))]. 6588 K(x,L(y,z / y,u)) = (u * (z * K(y,x))) \ (u * z). [hyper(220,a,6537,a,b,6587,a)]. 6589 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),6587(a,1,2,2)),flip(a)]. 6590 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6587(a,2),103(a,1,2))]. 6596 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6588(a,2),6541(a,1))]. 6597 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6596(a,1,2))]. 6600 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(63(a,1),6597(a,1,2,1,2))]. 6606 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6585(a,1),22(a,1)),flip(a)]. 6612 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6206(a,1),6432(a,1,2))]. 6613 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(429,a,6612,a),flip(a)]. 6619 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5229(a,1),4983(a,1,2))]. 6620 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5310(a,1),5316(a,1,1))]. 6623 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3806(a,1),6620(a,1,1,2)),flip(a)]. 6625 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3806(a,1),6623(a,1,2)),flip(a)]. 6626 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(485,a,6625,a)]. 6627 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = ((z \ 1) * K(y,z)) / (z \ 1). [para(6626(a,1),713(a,2,1,2))]. 6628 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6043(a,1),5496(a,2,1,1))]. 6646 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(17(a,1),5788(a,1,1,2,2,1))]. 6647 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(220,a,5510,a(flip),b,6646,a)]. 6648 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6646(a,2),5511(a,1))]. 6649 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6647(a,1),439(a,1,1))]. 6652 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4752(a,1),5935(a,1,1,2))]. 6656 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5955(a,1),17(a,1,2))]. 6657 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(220,a,47,a(flip),b,5977,a)]. 6662 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6155(a,1),6009(a,1,1,1)),flip(a)]. 6663 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6662(a,2),17(a,1,2))]. 6664 ((x * K(y,z)) * u) \ (x * u) != w | K(z,((x / y) * u) \ (x * u)) = w. [para(6663(a,1),209(a,1,2)),flip(b)]. 6667 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6231(a,1),6663(a,1,2,2))]. 6670 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6667(a,2),485(a,1))]. 6671 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6172(a,1),6667(a,1,1,1))]. 6673 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(6174,a,6671,a(flip))]. 6675 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6671(a,2),6206(a,1,1))]. 6678 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(4764,a,6675,a)]. 6683 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(220,a,4769,a(flip),b,6678,a)]. 6684 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2863(a,2),6683(a,2,2))]. 6698 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4015(a,1),6011(a,1,1)),flip(a)]. 6699 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5654,a,6698,a)]. 6701 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(66(a,1),6699(a,1,1,2,1)),flip(a)]. 6702 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(112(a,2),6699(a,1,1))]. 6704 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(16(a,1),6702(a,1,1,2)),flip(a)]. 6705 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6702(a,2),114(a,1,1))]. 6713 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(654,a,6044,a)]. 6714 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6713(a,1),5767(a,1,1,1)),flip(a)]. 6715 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(220,a,5549,a(flip),b,6714,a)]. 6717 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(6202,a,6537,a)]. 6722 x * K(x * (y \ 1),1 \ y) = (y \ x) * y. [hyper(220,a,3004,a(flip),b,6514,a(flip))]. 6723 x * K(x * (y \ 1),y) = (y \ x) * y. [para(54(a,1),6722(a,1,2,2))]. 6724 K(x * (y \ 1),y) = K(y \ x,y). [hyper(20,a,234,a,b,6723,a)]. 6726 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(220,a,5151,a(flip),b,6724,a(flip)),flip(a)]. 6733 K(R(x,y,y \ 1),y) = K(x,y). [hyper(220,a,580,a(flip),b,6726,a)]. 6735 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6733(a,1),5193(a,1,1))]. 6736 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4875(a,1),6619(a,1,2,2)),flip(a)]. 6737 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6736(a,2),681(a,1))]. 6740 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [para(4944(a,1),656(a,2,1)),flip(a)]. 6741 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4944(a,1),805(a,1,1,1))]. 6742 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(5370,a,6740,a)]. 6744 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4955,a,4945,a)]. 6745 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4945(a,1),656(a,2,1)),flip(a)]. 6746 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5370,a,6745,a)]. 6747 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6744(a,1),1656(a,1,1,2)),flip(a)]. 6748 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(755(a,1),5045(a,1,2))]. 6754 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3746(a,1),5980(a,2,2))]. 6755 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(220,a,3751,a(flip),b,6754,a(flip))]. 6756 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3083(a,1),6755(a,1,2,2)),flip(a)]. 6757 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3083(a,1),6756(a,1,1,1)),flip(a)]. 6758 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6757(a,1),66(a,1,1))]. 6759 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(120(a,1),6758(a,1,1,1,1))]. 6760 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(120(a,1),6759(a,2,2))]. 6763 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6241(a,1),6236(a,1,2))]. 6764 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6763(a,1),597(a,1))]. 6765 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(220,a,6332,a(flip),b,6330,a)]. 6766 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6330(a,2),6473(a,1))]. 6768 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6561(a,1),6765(a,1,1))]. 6770 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6766,a,6768,a),flip(a)]. 6771 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(17(a,1),6770(a,2,1,1))]. 6772 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(63(a,1),6771(a,1,1,1,2))]. 6773 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6772(a,1),5684(a,1,1,2)),flip(a)]. 6774 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(220,a,5684,a(flip),b,6773,a)]. 6776 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5842(a,1),6774(a,1,2))]. 6778 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,(x / y) \ x). [para(6490(a,1),6776(a,1,2,2))]. 6781 T(x / (y \ 1),(x / (y \ 1)) \ T(x,y)) = T(x / (y \ 1),(x / (y \ 1)) \ x). [para(3083(a,1),6778(a,1,2,2))]. 6782 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6538(a,1),6341(a,1))]. 6789 (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))) = v5. [para(6250(a,1),6664(a,1,1))]. 6798 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4915,a(flip),b,4856,a),flip(a)]. 6805 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(118(a,1),5934(a,1,1,2,2))]. 6806 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4742(a,2),6805(a,1,1))]. 6818 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6140(a,1),6161(a,1,2)),flip(a)]. 6819 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6818(a,2),429(a,1))]. 6824 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4905(a,1),6558(a,1,1,2))]. 6825 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4876(a,1),6824(a,1,2,2))]. 6830 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(220,a,4628,a(flip),b,4662,a(flip))]. 6831 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3678(a,2),4664(a,1,1))]. 6837 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5314(a,1),5317(a,2,1))]. 6838 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,114,a,b,6837,a),flip(a)]. 6840 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(21,a,3589,a(flip),b,6837,a)]. 6843 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6840(a,2),5293(a,2,1,2))]. 6845 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3806(a,1),6838(a,1,1)),flip(a)]. 6846 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5510(a,1),6838(a,1,1)),flip(a)]. 6860 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(220,a,5517,a(flip),b,6846,a(flip))]. 6862 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),6860(a,2,2,1))]. 6864 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(63(a,1),6860(a,1,1,2)),flip(a)]. 6867 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(112(a,2),6864(a,1,2))]. 6872 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(220,a,4989,a(flip),b,6867,a(flip)),flip(a)]. 6873 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),6867(a,1,2,2)),flip(a)]. 6874 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(35(a,2),6867(a,1,2,2)),flip(a)]. 6882 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6873(a,1),5390(a,1,1))]. 6890 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4986(a,1),6872(a,2,1))]. 6895 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(220,a,5884,a(flip),b,6843,a)]. 6900 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(20,a,5932,a(flip),b,6895,a(flip)),flip(a)]. 6902 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3724,a,6900,a),flip(a)]. 6903 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6902(a,1),1334(a,1,2))]. 6904 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(220,a,241,a(flip),b,6903,a(flip)),flip(a)]. 6906 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(220,a,3510,a(flip),b,6904,a(flip)),flip(a)]. 6907 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1658,a,6906,a)]. 6908 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(160,a,6906,a,b,1330,a)]. 6910 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(25,a,6907,a)]. 6931 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5622(a,1),5624(a,1,3)),flip(a)]. 6932 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6931(a,1),23(a,1))]. 6934 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4079(a,1),5890(a,2,1,2))]. 6935 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(6934(a,2),4565(a,1))]. 6937 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(6089,a,6652,a),flip(a)]. 6938 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(17(a,1),6937(a,2,2,1))]. 6943 (x * (y * z)) \ (x * (y * T(z,u))) = K((x * y) \ (x * (y * z)),u). [para(392(a,1),6329(a,1,2))]. 6944 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(31(a,2),6943(a,2,1))]. 6945 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(6944(a,1),17(a,1,2))]. 6946 (x * (y * z)) \ (x * (z * y)) = K(L(z,y,x),y). [para(118(a,1),6944(a,1,2,2))]. 6947 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6946(a,1),63(a,1,2))]. 6949 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6176,a,6947,a)]. 6950 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(71,a,6947,a(flip),b,6173,a(flip))]. 6951 (x * (y * z)) \ (x * (z * y)) != u | K(L(z,y,x),y) = u. [para(6947(a,1),207(a,1,1)),flip(b)]. 6954 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(6945(a,1),6169(a,1,1))]. 6958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6950(a,1),6951(a,1))]. 6964 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),6741(a,2,1,1))]. 6965 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4721(a,2),6830(a,1,2))]. 6966 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(216,a,6831,a),flip(a)]. 6976 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(212,a,6965,a),flip(a)]. 6977 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,4579,a(flip))]. 6978 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2522(a,1),6977(a,1,1)),flip(a)]. 6979 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(72,a,6978,a(flip),b,997,a)]. 6981 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2525(a,1),6979(a,1,1))]. 6982 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(220,a,6735,a(flip),b,6981,a(flip)),flip(a)]. 6983 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1300(a,1),6982(a,1,2,1))]. 6984 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6983(a,1),66(a,1,1)),flip(a)]. 6985 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(277,a,6984,a)]. 6986 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(78,a,6984,a)]. 6987 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6984(a,1),3168(a,1,2)),flip(a)]. 6988 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(220,a,4375,a(flip),b,6985,a(flip)),flip(a)]. 6989 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(220,a,4740,a(flip),b,6988,a)]. 6990 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(6989(a,2),6986(a,1,1))]. 6991 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(155(a,1),4617(a,1,1)),flip(a)]. 6993 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4785(a,2),6991(a,1,1,2,2)),flip(a)]. 6994 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4785(a,2),6993(a,1,2)),flip(a)]. 6995 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [hyper(220,a,6140,a(flip),b,6994,a)]. 6996 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(21,a,6206,a,b,6995,a)]. 6997 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,6092,a,b,6995,a),flip(a)]. 6998 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6996(a,1),17(a,1,2))]. 7000 (x * y) * K(x,z) = x * (y * K(x,z)). [para(16(a,1),6998(a,1,2,1)),flip(a)]. 7001 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6606,a,7000,a),flip(a)]. 7002 R(x,y,K(x,z)) = x. [hyper(4688,a,7000,a)]. 7003 L(K(x,y),z,x) = K(x,y). [hyper(388,a,7000,a)]. 7004 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(220,a,5071,a,b,7000,a),flip(a)]. 7006 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7000(a,1),6206(a,1,1))]. 7007 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7002(a,1),49(a,1,1)),flip(a)]. 7009 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7002(a,1),424(a,1,1,1)),flip(a)]. 7013 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7002(a,1),6705(a,1,1,1)),flip(a)]. 7014 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6782,a,7003,a)]. 7015 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(220,a,16,a,b,7003,a)]. 7017 K(x,L(y,z,x)) = K(x,y). [hyper(220,a,6589,a(flip),b,7003,a(flip)),flip(a)]. 7020 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),7017(a,1,2))]. 7026 R(x,y,T(x,z)) = R(x,y,x). [hyper(6819,a,7007,a)]. 7027 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7007(a,1),326(a,1,1)),flip(a)]. 7031 R(x,y,T(x,z)) * u = u * R(T(x,u),y,x). [para(7026(a,2),173(a,2,1)),flip(a)]. 7035 L(K(x,y),z,x) != u | K(x,y) = u. [para(7015(a,2),209(a,1)),flip(b)]. 7039 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6589(a,1),7035(a,1))]. 7040 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6570(a,1),7035(a,1))]. 7042 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6087(a,1),7039(a,1,2))]. 7043 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(17(a,1),7001(a,2,2,2))]. 7044 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(220,a,5732,a,b,7014,a(flip)),flip(a)]. 7045 (x / y) \ (x * K(y,z \ (y \ u))) = T(y,(y * z) \ u). [para(7014(a,1),6153(a,1,2,2))]. 7046 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(220,a,5407,a,b,6997,a)]. 7047 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4581(a,1),7046(a,1,2))]. 7048 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(6224,a,7004,a)]. 7052 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(17(a,1),7048(a,1,1,1))]. 7053 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(155(a,1),7048(a,1,1)),flip(a)]. 7064 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(220,a,6429,a,b,7052,a(flip)),flip(a)]. 7065 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(331(a,1),7064(a,2,1))]. 7068 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7006(a,1),6236(a,1,2))]. 7071 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(538,a,7031,a)]. 7072 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(220,a,4127,a(flip),b,7071,a)]. 7075 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(220,a,119,a(flip),b,7072,a)]. 7076 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7047(a,1),66(a,1,1))]. 7077 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5407(a,1),7076(a,1,1))]. 7078 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4778(a,2),7077(a,1,1,2))]. 7081 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(388,a,7013,a)]. 7084 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(220,a,6589,a(flip),b,7081,a(flip)),flip(a)]. 7085 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7081(a,1),43(a,2,1))]. 7086 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(48(a,1),7084(a,1,2))]. 7087 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5255(a,1),7084(a,1,2)),flip(a)]. 7088 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(220,a,6715,a(flip),b,7085,a(flip)),flip(a)]. 7090 T(K(x,y),z * x) = T(K(x,y),x * z). [para(4853(a,1),7088(a,1,2)),flip(a)]. 7092 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5238(a,1),7088(a,1,2)),flip(a)]. 7095 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(78,a,7027,a)]. 7097 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(18(a,1),7044(a,1,1,1,1,2))]. 7098 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4631(a,1),7044(a,1,1))]. 7100 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(6088,a,7098,a)]. 7101 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(220,a,6806,a(flip),b,7098,a(flip)),flip(a)]. 7102 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6600,a,7100,a)]. 7103 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(220,a,5914,a,b,7100,a(flip)),flip(a)]. 7104 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(31(a,2),7100(a,1,2)),flip(a)]. 7105 (x * y) * L((x \ z) / y,y,x) = z * K(y,x \ (y \ z)). [para(7100(a,1),6423(a,2,2))]. 7106 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7103(a,1),6976(a,2,2))]. 7107 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(220,a,7043,a(flip),b,7102,a)]. 7108 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(19(a,1),7101(a,1,2,1,2)),flip(a)]. 7110 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(7101(a,1),6169(a,1,1,2))]. 7111 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(388,a,7009,a)]. 7112 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7009(a,1),6197(a,1,1))]. 7114 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [hyper(6213,a,7045,a),flip(a)]. 7116 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(118(a,1),7114(a,1,2,1)),flip(a)]. 7118 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(16(a,1),7097(a,1,1,1,1)),flip(a)]. 7119 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(220,a,457,a(flip),b,7065,a(flip))]. 7120 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(7119(a,2),6051(a,1,2))]. 7122 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(212,a,7105,a),flip(a)]. 7123 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(16(a,1),7122(a,2,2,2,1))]. 7124 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(7122(a,1),6169(a,1,1))]. 7125 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(321(a,2),7124(a,1,1,2,2,1))]. 7129 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(20,a,7122,a,b,7106,a(flip)),flip(a)]. 7131 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(7129(a,1),6169(a,1,1,2)),flip(a)]. 7132 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(220,a,6169,a(flip),b,7131,a)]. 7133 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(17(a,1),7132(a,1,1,1)),flip(a)]. 7134 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),7132(a,1,1,1))]. 7135 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6197,a,7110,a),flip(a)]. 7136 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(7110(a,1),6197(a,1))]. 7137 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(7135(a,1),5487(a,1,1,1,2))]. 7138 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(213,a,7120,a)]. 7139 L(K(x,y),z,x \ 1) = K(x,y). [hyper(388,a,7138,a)]. 7140 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(220,a,3597,a(flip),b,7139,a(flip)),flip(a)]. 7141 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5776,a,7140,a)]. 7143 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(7140(a,1),384(a,1,2)),flip(a)]. 7145 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(6480(a,1),7141(a,1,1,1)),flip(a)]. 7146 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(7145(a,1),5755(a,1,1)),flip(a)]. 7149 L(x,y,K(x \ 1,z)) = x. [hyper(388,a,7146,a)]. 7152 L(x \ 1,y,K(x,z)) = x \ 1. [para(3041(a,1),7149(a,1,3))]. 7155 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7152(a,1),737(a,1,1)),flip(a)]. 7164 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7042,a,6938,a),flip(a)]. 7165 K(x,K(y \ x,y) * z) = K(x,z). [para(16(a,1),7164(a,1,2)),flip(a)]. 7166 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7165(a,1,2,1,1))]. 7167 K(x,K(y,y \ x) * z) = K(x,z). [para(5238(a,1),7165(a,1,2)),flip(a)]. 7169 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7167(a,1),4853(a,1,1))]. 7170 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7166(a,1),4824(a,1,1,2))]. 7171 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7170(a,1),6233(a,1,2)),flip(a)]. 7172 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5452,a,7169,a)]. 7173 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4103,a,7172,a)]. 7174 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7173(a,1),169(a,1,2,2)),flip(a)]. 7176 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7068(a,1),597(a,1))]. 7177 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7112,a,6537,a),flip(a)]. 7178 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6537(a,1),7112(a,1))]. 7180 L(K(x,y),z,y) = K(x,y). [para(378(a,1),7177(a,1,3))]. 7181 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7177(a,1),103(a,1,2))]. 7182 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6766,a,7180,a)]. 7183 K(x,L(y,z,y)) = K(x,y). [hyper(220,a,6589,a(flip),b,7180,a(flip)),flip(a)]. 7184 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7180(a,1),103(a,1,2))]. 7186 (x * y) * T(K(z,x),u) = x * (y * T(K(z,x),u)). [para(7180(a,1),392(a,1,2,1))]. 7187 (x \ y) * T(K(z,x),y) = x \ (K(z,x) * y). [para(7180(a,1),639(a,1,2,1)),flip(a)]. 7192 K(x,T(y / z,y)) = K(x,z \ y). [para(4630(a,1),7183(a,1,2))]. 7193 T(x,L(y,z,y)) = x * K(x,y). [para(7183(a,1),4801(a,2,2))]. 7194 K(x,R(y,z,y)) = K(x,y). [para(6480(a,1),7183(a,1,2)),flip(a)]. 7195 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(220,a,5161,a,b,7194,a)]. 7196 R(K(x,y),z,y) = K(x,y). [hyper(220,a,6890,a(flip),b,7194,a(flip)),flip(a)]. 7197 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7194(a,1,2))]. 7199 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(7075(a,1),7194(a,1,2))]. 7201 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7196(a,1),114(a,1,1)),flip(a)]. 7202 T(x,L(y,z,y)) = T(x,y). [hyper(220,a,4801,a,b,7193,a)]. 7204 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(5661,a,7202,a),flip(a)]. 7210 T(x,R(y,z,y)) = T(x,y). [para(6480(a,1),7202(a,1,2)),flip(a)]. 7212 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7210(a,1),118(a,1,2))]. 7215 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7195(a,2),5163(a,1))]. 7217 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(220,a,6531,a(flip),b,7197,a(flip)),flip(a)]. 7218 K(x,T(y,y * z)) = K(x,T(y,z)). [para(16(a,1),7197(a,1,2,2)),flip(a)]. 7219 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4031(a,1),7197(a,1,2))]. 7221 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(220,a,564,a,b,7199,a(flip)),flip(a)]. 7224 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(6179(a,1),7199(a,1,2)),flip(a)]. 7230 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1460(a,1),7215(a,1,2))]. 7231 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7215(a,1,2))]. 7232 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7217(a,1),17(a,1,2))]. 7233 L(K(x,T(y,z)),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(7217(a,1),105(a,1,1))]. 7235 K(x,T(y,K(x,z))) = K(x,y). [hyper(20,a,6194,a,b,7232,a)]. 7236 (K(x,y) * z) * u != z | K(y,T(x,z)) = u. [para(7232(a,1),22(a,1)),flip(a)]. 7237 K(x,T(y,K(z,x))) = K(x,y). [para(5806(a,1),7235(a,1,2)),flip(a)]. 7246 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(220,a,6505,a,b,7182,a(flip)),flip(a)]. 7248 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(220,a,4916,a,b,7182,a(flip)),flip(a)]. 7249 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),7182(a,1,1,1)),flip(a)]. 7251 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7182(a,1),6283(a,1,2))]. 7253 R(x,y,K(z,x)) = x. [hyper(4688,a,7184,a)]. 7254 x * (K(y,z) * T(z,x)) = z * (x * K(y,z)). [hyper(220,a,6452,a,b,7184,a(flip)),flip(a)]. 7262 R(x,y,L(K(z,x),u,w)) = x. [para(5765(a,1),7253(a,1,3))]. 7263 R(x,y,K(z,L(x,u,w))) = x. [para(6589(a,1),7262(a,1,3))]. 7264 R(R(x,y,z),u,K(w,L(x,v5,v6))) = R(x,y,z). [para(7263(a,1),49(a,1,1)),flip(a)]. 7268 L(x,y,K(z,x)) = x. [hyper(388,a,7201,a)]. 7272 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7268(a,1),48(a,1,1)),flip(a)]. 7277 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * T(L(y,u,w),v5)). [para(7272(a,1),392(a,1,2,1))]. 7278 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7204(a,1),118(a,1,2)),flip(a)]. 7281 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7212(a,1,1))]. 7282 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(120(a,1),7212(a,1,2))]. 7284 (x * K(y,T(z,u \ z))) \ x = K(T(z,u \ 1),y). [para(7219(a,1),6169(a,1,1,2))]. 7285 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(7246(a,1),5763(a,1,1))]. 7290 L(K(x,y),z,y) != u | K(x,y) = u. [para(378(a,1),7178(a,1,3))]. 7295 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6765(a,1),7290(a,1))]. 7299 (x \ y) * T(K(z,x),y) = T(x,z) \ y. [hyper(220,a,5115,a(flip),b,7187,a)]. 7304 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7248(a,1),6966(a,2,1))]. 7305 T(x,y * K(z,x)) = T(x,y). [hyper(160,a,7254,a(flip),b,4769,a)]. 7308 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(7305(a,1),4562(a,2,1,2))]. 7309 T(x,y * K(x,z)) = T(x,y). [para(6172(a,1),7305(a,1,2)),flip(a)]. 7311 T(x,K(y,x) * z) = T(x,z). [para(6530(a,1),7305(a,1,2))]. 7315 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5901(a,1),7309(a,1,2,2))]. 7318 (K(x,y) * z) * L(T(y,z),u,w) != v5 | L(y,u,w) * (K(x,y) * z) = v5. [para(7311(a,1),315(a,1,2,1))]. 7319 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7311(a,1),4309(a,1,3))]. 7320 T(x,T(x,y) \ z) = T(x,x \ z). [para(5114(a,1),7311(a,1,2))]. 7321 T(x,K(x,y) * z) = T(x,z). [para(5238(a,1),7311(a,1,2)),flip(a)]. 7325 K(x,K(x,y) * z) = x \ T(x,z). [hyper(71,a,7321,a(flip),b,4801,a(flip)),flip(a)]. 7326 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7321(a,1),5362(a,1,1))]. 7328 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(220,a,119,a(flip),b,7320,a)]. 7329 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(220,a,4297,a,b,7320,a(flip)),flip(a)]. 7330 K(x,T(y,y \ z)) = T(K(x,y),z). [para(7320(a,1),6400(a,1,2))]. 7331 K(x,K(x,y) * z) = K(x,z). [hyper(220,a,4777,a,b,7325,a)]. 7332 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7325(a,2),4869(a,1))]. 7333 K(x,y * x) = K(x,x * y). [para(4853(a,1),7331(a,1,2)),flip(a)]. 7337 K(x,K(y,x) * z) = K(x,z). [para(5238(a,1),7331(a,1,2)),flip(a)]. 7344 x * ((T(y,x) \ z) \ z) = ((y \ z) \ z) * x. [para(7328(a,1),347(a,1,1)),flip(a)]. 7345 K(x,T(y,z)) = T(K(x,y),z). [hyper(7231,a,7330,a)]. 7347 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7330(a,1),7231(a,1))]. 7351 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(220,a,6584,a,b,7345,a),flip(a)]. 7352 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(220,a,6336,a,b,7345,a),flip(a)]. 7353 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(220,a,5628,a,b,7345,a),flip(a)]. 7354 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(220,a,5627,a,b,7345,a),flip(a)]. 7358 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(220,a,7092,a(flip),b,7345,a)]. 7360 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(220,a,6371,a(flip),b,7345,a)]. 7361 K(x / y,T(z,x)) = K(y \ x,z). [hyper(220,a,6343,a(flip),b,7345,a)]. 7362 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(220,a,3076,a(flip),b,7345,a)]. 7367 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(41(a,1),7345(a,1,2))]. 7368 x * K(y,T(z,x)) = K(y,z) * x. [para(7345(a,2),118(a,1,2))]. 7376 x * T(K(x,y),z) = T(x,T(y,z)). [para(7345(a,1),4801(a,2,2)),flip(a)]. 7377 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7345(a,1),4804(a,1,2))]. 7379 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7345(a,2),5625(a,1,2))]. 7387 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(7345(a,2),7299(a,1,2))]. 7396 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7361(a,1),6701(a,1,1)),flip(a)]. 7398 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6174,a,7368,a)]. 7400 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(20,a,5617,a(flip),b,7368,a)]. 7401 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5249,a,7368,a(flip))]. 7402 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7368(a,1),22(a,1))]. 7404 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(41(a,1),7368(a,1,2,2))]. 7406 K(x,y / z) * z = z * K(x,z \ y). [para(120(a,1),7368(a,1,2,2)),flip(a)]. 7411 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(220,a,7053,a,b,7376,a),flip(a)]. 7412 K(T(x,y),z) = K(x,T(z,y)). [hyper(7236,a,7398,a),flip(a)]. 7414 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5273,a,7412,a)]. 7417 K(T(x,y),z) = T(K(x,z),y). [hyper(220,a,7345,a(flip),b,7412,a)]. 7420 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,7412,a)]. 7421 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(220,a,7360,a,b,7412,a(flip)),flip(a)]. 7422 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(220,a,6371,a,b,7412,a(flip)),flip(a)]. 7429 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),7412(a,1,1))]. 7430 K(x / y,T(z,y)) = K(y \ x,z). [para(120(a,1),7412(a,1,1)),flip(a)]. 7431 K(T(x,y),z / y) = K(x,y \ z). [para(120(a,1),7412(a,2,2))]. 7432 K((x * y) / x,T(z,x)) = K(y,z). [para(154(a,1),7412(a,1,1)),flip(a)]. 7434 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(131(a,1),7412(a,1,1)),flip(a)]. 7436 K(T(x,R(y,z,u)),y) = K(x,y). [para(546(a,1),7412(a,2,2))]. 7444 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7412(a,1),5252(a,1,1))]. 7448 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7412(a,1),5353(a,2,1))]. 7451 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7412(a,1),6176(a,1,2))]. 7452 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7412(a,1),6197(a,1,1,2))]. 7457 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7414(a,1),5155(a,1))]. 7465 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(17(a,1),7421(a,1,2,2)),flip(a)]. 7466 K(x,T(x * y,y)) = K(x,x * y). [para(117(a,1),7421(a,1,2)),flip(a)]. 7469 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(220,a,7090,a,b,7422,a(flip)),flip(a)]. 7474 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(131(a,1),7430(a,1,2))]. 7475 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(7430(a,1),4801(a,2,2)),flip(a)]. 7480 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(131(a,1),7431(a,1,1))]. 7484 K((x * y) / x,z) * x = x * K(y,z). [para(7432(a,1),7368(a,1,2)),flip(a)]. 7486 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(45(a,2),7465(a,1,2))]. 7487 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7465(a,1),6704(a,1,1))]. 7489 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(220,a,7345,a,b,7469,a(flip)),flip(a)]. 7490 K(x,T(y,z / x)) = T(K(x,y),z). [para(19(a,1),7469(a,1,2)),flip(a)]. 7491 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7469(a,1),118(a,1,2))]. 7496 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(7490(a,1),4801(a,2,2))]. 7503 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7417(a,2),7347(a,1))]. 7504 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7345(a,1),7457(a,1))]. 7513 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7360(a,2),7503(a,1))]. 7517 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(220,a,7345,a,b,7358,a)]. 7519 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(7218(a,1),7379(a,1,2))]. 7522 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5510(a,2),7406(a,1,1))]. 7523 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5516(a,1),7406(a,1,1)),flip(a)]. 7529 K(x,y * K(z,x)) = K(x,y). [para(7484(a,1),7337(a,1,2))]. 7534 K(x,y * K(x,z)) = K(x,y). [para(6172(a,1),7529(a,1,2)),flip(a)]. 7537 K(x,K(x,y) * z) = K(x,z * K(x,u)). [hyper(220,a,7331,a,b,7534,a),flip(a)]. 7543 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7534(a,1),6451(a,1,1)),flip(a)]. 7548 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7484(a,1),7517(a,1,2,2))]. 7549 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7537(a,1),7332(a,1))]. 7551 L(K(x,y),y,z) != u | K(x,y) = u. [para(6103(a,2),7549(a,1))]. 7556 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6172(a,1),7548(a,1,2,2)),flip(a)]. 7559 K(x,T(y,z * (u * K(x,w)))) = K(x,T(y,z * u)). [para(6590(a,1),7556(a,1,2,2))]. 7563 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7411(a,2),7377(a,1))]. 7564 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7496(a,2),7377(a,1))]. 7570 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7282(a,1,1))]. 7576 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(161,a,7344,a),flip(a)]. 7581 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(7576(a,1),63(a,1,2))]. 7586 x / T(y \ x,z) = T(x / y,z) \ x. [para(66(a,1),7581(a,1,2,1,1))]. 7588 T(x / (x / y),z) \ x = x / T(y,z). [para(140(a,1),7581(a,1,2,1)),flip(a)]. 7590 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7586,a),flip(a)]. 7596 x / (y * K(z,y \ x)) = T(x / y,z). [para(7590(a,1),63(a,1,2))]. 7597 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(16(a,1),7596(a,1,2,2,2))]. 7599 T(x,y) * K(z,T(T(x,u),w)) = K(z,T(T(x,u),w)) * T(x,y). [para(189(a,1),7404(a,1,2,2,1))]. 7602 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1660(a,1),7429(a,1,1)),flip(a)]. 7603 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2857(a,1),7429(a,2,2))]. 7606 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(130(a,1),7475(a,2,2))]. 7608 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6142,a,7491,a),flip(a)]. 7610 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(7608(a,2),22(a,1))]. 7611 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(220,a,7379,a(flip),b,7519,a(flip))]. 7612 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(220,a,6519,a,b,7611,a(flip)),flip(a)]. 7613 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(17(a,1),7611(a,1,1)),flip(a)]. 7615 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7402,a,7522,a)]. 7617 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(63(a,1),7615(a,1,2,1,1))]. 7618 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(20,a,6324,a,b,7523,a),flip(a)]. 7619 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(220,a,4898,a(flip),b,7597,a)]. 7620 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6359(a,1),7603(a,1,1,1)),flip(a)]. 7622 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6505(a,2),7295(a,1))]. 7623 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5242(a,1),7444(a,1))]. 7624 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6173(a,1),7451(a,1))]. 7638 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7417(a,1),7624(a,1,2))]. 7640 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [hyper(7638,a,7186,a)]. 7641 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(7186(a,1),5165(a,1,2))]. 7645 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7251(a,1),6197(a,1,1))]. 7647 K(T(x,y \ 1),z) = K(x,T(z,y \ x)). [hyper(7452,a,7284,a),flip(a)]. 7648 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [hyper(7503,a,7647,a)]. 7649 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(16(a,1),7648(a,2,2,2))]. 7650 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,7308,a)]. 7657 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(45(a,2),7486(a,2,2))]. 7662 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7232(a,1),7559(a,1,2,2,2)),flip(a)]. 7673 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(7345(a,2),7640(a,2,2,2))]. 7675 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1267(a,1),7650(a,1,2))]. 7677 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(16(a,1),7657(a,1,2,1,2)),flip(a)]. 7679 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(7673(a,1),23(a,1)),flip(a)]. 7681 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5183,a,7677,a)]. 7685 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7040,a,7681,a)]. 7686 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(220,a,7118,a(flip),b,7685,a(flip)),flip(a)]. 7687 K(L((x \ y) * z,u,w) \ 1,z) = L(K(y \ (z \ x),z),u,w). [para(7133(a,1),7285(a,1,1)),flip(a)]. 7690 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(220,a,6704,a(flip),b,7487,a(flip))]. 7698 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7345(a,2),7351(a,1,1))]. 7701 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,y)) * z. [para(7421(a,1),7448(a,2,1))]. 7702 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(117(a,1),7701(a,2,1,2))]. 7704 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(7702(a,1),4857(a,1,2))]. 7706 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(7602(a,2),7503(a,1))]. 7708 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(5933(a,1),7645(a,1))]. 7709 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6568(a,2),7708(a,1))]. 7711 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6112,a,7698,a)]. 7721 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7304(a,1),5795(a,1,2)),flip(a)]. 7724 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5115(a,1),7319(a,1,2))]. 7725 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5115(a,1),7724(a,2,2))]. 7726 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7725(a,1),384(a,1,2)),flip(a)]. 7727 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4084(a,1),7726(a,1,2,1))]. 7728 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4084(a,1),7727(a,2,2,2))]. 7729 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7728(a,1),4115(a,1,1))]. 7737 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4993(a,1),7619(a,1,2,2))]. 7738 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x,y). [hyper(220,a,4778,a(flip),b,7737,a)]. 7740 K(x * K(y,z),z) = K(x,z). [hyper(6000,a,7738,a)]. 7741 K(x \ T(y,z),z) = K(x \ y,z). [para(1267(a,1),7740(a,1,1))]. 7742 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7740(a,1),4015(a,1,1))]. 7744 K(x * T(y,z),y) = K(x * y,y). [para(5686(a,1),7740(a,1,1)),flip(a)]. 7746 K(x * K(y,z),y) = K(x,y). [para(6172(a,1),7740(a,1,1)),flip(a)]. 7748 K(K(x,y) * z,y) = K(z,y). [para(6530(a,1),7740(a,1,1))]. 7749 K(x * K(y,T(z,u)),z) = K(x,z). [para(7352(a,1),7740(a,1,1,2))]. 7750 K(K(x,y) * z,x) = K(z,x). [para(7398(a,1),7740(a,1,1)),flip(a)]. 7751 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7432(a,1),7740(a,1,1,2))]. 7753 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7746(a,1),5491(a,1,1,1,2)),flip(a)]. 7754 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5901(a,1),7746(a,1,1,2))]. 7755 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6590(a,1),7746(a,1,1))]. 7760 K(K(x,y) \ z,x) = K(z,x). [para(5242(a,2),7748(a,1,1))]. 7770 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7750(a,1),6111(a,1,1))]. 7771 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6845(a,1),7750(a,1,1,1))]. 7772 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(35(a,1),7741(a,1,1,2))]. 7775 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7744(a,1),7543(a,2,2))]. 7777 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5535(a,1),7749(a,1,1))]. 7780 K((K(x,y) * z) * u,x) = K(z * u,x). [para(114(a,1),7771(a,1,1))]. 7781 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6704(a,1),7771(a,1,1,1))]. 7783 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4857(a,1),7781(a,1,1)),flip(a)]. 7787 K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). [para(7398(a,1),7751(a,1,1)),flip(a)]. 7791 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7368(a,1),7755(a,1,1,2))]. 7797 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7777(a,1),6740(a,1,1,2))]. 7798 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6845(a,1),7787(a,1,1,1))]. 7801 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7791(a,1),5489(a,1,2,1,2)),flip(a)]. 7806 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(220,a,6704,a(flip),b,7742,a(flip)),flip(a)]. 7807 K(R(x,K(y,z),u),z) = K(x,z). [hyper(220,a,7740,a(flip),b,7806,a)]. 7809 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(49(a,1),7807(a,1,1))]. 7810 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7770(a,1),3583(a,1)),flip(b)]. 7813 K(x * y,x) != z | K(y * x,x) = z. [para(4853(a,1),7810(a,1,1))]. 7818 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6704(a,1),7798(a,1,1,1))]. 7820 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,6448,a(flip),b,7775,a)]. 7832 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(220,a,5625,a(flip),b,7641,a)]. 7833 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7376(a,1),7832(a,1,2,2))]. 7834 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6431(a,2),7833(a,1,2))]. 7835 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4869,a,7834,a)]. 7836 K(x,K(y,z)) = K(z,K(y,x)). [hyper(220,a,7612,a(flip),b,7835,a(flip))]. 7837 K(K(x,y),z) = K(x,K(y,z)). [hyper(220,a,5626,a,b,7836,a),flip(a)]. 7838 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(220,a,7835,a(flip),b,7836,a)]. 7842 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7836(a,1),4801(a,2,2)),flip(a)]. 7845 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7836(a,1),5627(a,1,2))]. 7846 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7836(a,1),5628(a,1,1))]. 7847 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7836(a,1),5629(a,1,1))]. 7849 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7836(a,1),6486(a,2,2))]. 7850 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7836(a,1),7354(a,1,2))]. 7852 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(220,a,5756,a(flip),b,7837,a)]. 7853 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(220,a,6838,a,b,7837,a(flip)),flip(a)]. 7856 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7837(a,1),5142(a,1,1))]. 7868 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7750(a,1),7837(a,1,1)),flip(a)]. 7870 K(x,K(y,y * z)) = K(x,K(y,z)). [para(7333(a,1),7838(a,1,2))]. 7872 K(K(x,y),z) = K(y,K(z,x)). [hyper(5155,a,7856,a)]. 7873 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5678,a,7872,a)]. 7874 K(K(x,y),z) = K(x,K(z,y)). [hyper(220,a,7836,a,b,7872,a)]. 7875 K(x,K(y,z)) = K(z,K(x,y)). [hyper(220,a,7837,a(flip),b,7872,a(flip))]. 7876 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7872(a,1),4801(a,2,2)),flip(a)]. 7879 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7872(a,1),5678(a,1))]. 7880 K(K(x,y),z) = K(y,K(x,z)). [hyper(220,a,7837,a,b,7873,a),flip(a)]. 7881 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(220,a,7613,a,b,7873,a),flip(a)]. 7883 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7873(a,1),4801(a,2,2)),flip(a)]. 7884 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7873(a,1),4812(a,2,1)),flip(a)]. 7885 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7873(a,1),4804(a,1,2))]. 7886 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7873(a,1),5022(a,1,1))]. 7891 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7873(a,1),7842(a,1,2))]. 7892 K(K(x,y),z) = K(z,K(x,y)). [hyper(220,a,7873,a,b,7874,a)]. 7893 K(x,K(y,z)) = K(x,K(z,y)). [hyper(220,a,7837,a(flip),b,7874,a(flip))]. 7897 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7874(a,1),5678(a,1))]. 7900 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(220,a,7379,a,b,7875,a),flip(a)]. 7905 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7875(a,2),4812(a,2,1)),flip(a)]. 7907 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7875(a,2),4875(a,1,1))]. 7909 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7875(a,2),5022(a,1,1))]. 7919 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7875(a,2),7353(a,1,1))]. 7920 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7875(a,1),7354(a,1,2))]. 7921 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7875(a,1),7842(a,1,2))]. 7922 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7880(a,1),4853(a,1,1))]. 7924 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5756(a,1),7880(a,1,1)),flip(a)]. 7928 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7892(a,1),4801(a,2,2)),flip(a)]. 7941 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7892(a,1),5678(a,1))]. 7946 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7893(a,1),4812(a,2,1)),flip(a)]. 7952 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),7870(a,1,2,2)),flip(a)]. 7953 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5318(a,1),7870(a,1,2)),flip(a)]. 7956 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(220,a,7873,a,b,7881,a(flip)),flip(a)]. 7959 T(x,K(y,z)) = T(x,K(z,y)). [hyper(220,a,7842,a(flip),b,7891,a(flip))]. 7961 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7563,a,7959,a),flip(a)]. 7963 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(220,a,6190,a,b,7959,a),flip(a)]. 7970 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(220,a,5713,a(flip),b,7959,a)]. 7983 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7921(a,1),4804(a,1))]. 7984 T(x,K(y * z,y)) = x * K(x,K(y,z)). [para(7870(a,1),7921(a,1,2)),flip(a)]. 7986 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7952(a,1),5631(a,2,2))]. 7987 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(4986(a,1),7956(a,2,2))]. 8006 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7845(a,2),7347(a,1))]. 8009 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7850(a,1),22(a,1))]. 8011 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(220,a,7880,a(flip),b,7868,a)]. 8012 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(220,a,7872,a(flip),b,7868,a)]. 8013 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(220,a,7837,a(flip),b,7868,a)]. 8016 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2124,a,7900,a)]. 8023 (x * K(y,z)) / x = T(K(y,z),x). [hyper(4817,a,7928,a)]. 8028 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(220,a,7345,a,b,8023,a)]. 8030 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6154(a,2),8023(a,1,1))]. 8034 K(x,T(y,z)) * z = z * K(x,y). [para(8028(a,1),19(a,1,1))]. 8035 T(K(x,T(y,z)),z) = K(x,y). [para(8028(a,1),154(a,1,1))]. 8038 L(K(x,T(y,z)),u,w) * z = z * L(K(x,y),u,w). [para(8028(a,1),533(a,1,1,1))]. 8043 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8028(a,1),704(a,1,1,1))]. 8044 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(8028(a,1),1245(a,1,1,1))]. 8048 K(T(x,y),T(z,y)) = K(x,z). [hyper(7504,a,8035,a)]. 8049 K(x,T(T(y,z),z)) = K(x,y). [hyper(7347,a,8035,a)]. 8054 T(K(x,y \ z),z) = K(x,z / y). [para(7192(a,1),8035(a,1,1))]. 8060 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(41(a,1),8048(a,1,2))]. 8061 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),8048(a,1,1))]. 8062 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(43(a,2),8048(a,1,2))]. 8063 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(45(a,2),8048(a,1,1))]. 8064 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(45(a,2),8048(a,1,2))]. 8065 K(x \ y,T(z,x)) = K(y / x,z). [para(120(a,1),8048(a,1,1))]. 8071 x * K(T(x,y),T(z,y)) = T(x,z). [para(8048(a,2),4801(a,2,2)),flip(a)]. 8072 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8048(a,1),4812(a,2,1))]. 8073 K(x * K(y,x),z) = K(x,T(z,y)). [para(4824(a,1),8048(a,1,1)),flip(a)]. 8075 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8048(a,1),5228(a,1,1)),flip(a)]. 8077 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8048(a,1),6873(a,1,1))]. 8079 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8048(a,1),7401(a,1,2,2))]. 8082 K(x,T(y \ z,y)) = K(x,z / y). [para(120(a,1),8049(a,1,2,1))]. 8086 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8049(a,1),7491(a,1,2)),flip(a)]. 8094 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8034(a,1),4818(a,1,2)),flip(a)]. 8106 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(220,a,7224,a(flip),b,8065,a(flip))]. 8107 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),8065(a,1,1)),flip(a)]. 8118 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(4953(a,1),8073(a,1,1)),flip(a)]. 8119 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7436(a,1),8073(a,1,1,2)),flip(a)]. 8127 K(x,T((y * (z * K(x,u))) \ w,y * z)) = K(x,w / (y * (z * K(x,u)))). [hyper(220,a,7559,a(flip),b,8082,a(flip)),flip(a)]. 8150 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(220,a,4801,a,b,7984,a)]. 8151 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(7983,a,8150,a)]. 8154 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(17(a,1),8151(a,1,2,2)),flip(a)]. 8160 K(x,T(y,K(z,z \ x))) = K(x,y). [para(8154(a,2),7237(a,1,2))]. 8162 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6187(a,1),8160(a,1,2))]. 8168 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7897,a,8012,a)]. 8169 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5238(a,1),8013(a,1,1)),flip(a)]. 8171 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8034(a,1),8013(a,1,1))]. 8174 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8016(a,1),6175(a,1,1)),flip(b)]. 8177 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(220,a,5381,a,b,8072,a)]. 8185 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8094(a,2),6873(a,1,2))]. 8194 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5596(a,1),8168(a,1,2,2)),flip(a)]. 8195 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8079(a,1),8168(a,1,2,2)),flip(a)]. 8196 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(220,a,8011,a(flip),b,8169,a)]. 8202 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8195(a,1),7905(a,1,1))]. 8211 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4986(a,1),7907(a,1,1,2))]. 8213 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6173(a,2),7922(a,1,2))]. 8214 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7987(a,1),7922(a,1,1))]. 8222 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7970(a,1),7503(a,1,1))]. 8224 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8030(a,1),5008(a,1))]. 8225 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6336(a,2),8224(a,1))]. 8232 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(220,a,6412,a(flip),b,8061,a(flip)),flip(a)]. 8233 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6596,a,8062,a)]. 8234 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4144(a,1),8063(a,1,1,1)),flip(a)]. 8236 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8177(a,1),8075(a,1,1))]. 8237 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(220,a,6140,a(flip),b,8086,a)]. 8238 T(x,T(T(y,z),z)) = T(x,y). [hyper(7610,a,8237,a)]. 8241 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5452,a,8237,a)]. 8245 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(220,a,8177,a(flip),b,8238,a(flip)),flip(a)]. 8258 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,241,a(flip),b,8241,a)]. 8266 K(x,y) * T(T(y,x),z) = T(y,T(z,x)). [hyper(5249,a,8245,a)]. 8269 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(175(a,1),8266(a,1,2))]. 8282 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5927(a,1),8213(a,1,1,2))]. 8286 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7837(a,1),8236(a,2,1))]. 8299 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,8119,a)]. 8300 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(120(a,1),8299(a,1,2,2)),flip(a)]. 8302 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4081(a,2),8225(a,1,1))]. 8303 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7412(a,1),8302(a,1))]. 8306 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(7309(a,1),8303(a,1,2))]. 8307 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(220,a,8048,a(flip),b,8232,a(flip))]. 8309 T(K(x,y),z) * (T(y,x) * u) = K(x,K(y,z)) * (y * u). [para(4857(a,1),7847(a,1,2)),flip(a)]. 8332 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(5504,a,8106,a)]. 8338 K(x,y * K(z \ x,z)) = K(x,y). [hyper(220,a,7165,a(flip),b,8162,a(flip))]. 8340 K(x,y) * ((y * K(z \ x,z)) * x) = x * (y * K(z \ x,z)). [para(8338(a,1),4853(a,1,1))]. 8349 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8258(a,1),6141(a,1,1,1))]. 8371 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5756(a,1),7852(a,1,1)),flip(a)]. 8372 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7837(a,1),7853(a,1,1))]. 8373 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5756(a,1),7924(a,1,2)),flip(a)]. 8374 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(220,a,8371,a,b,8373,a(flip)),flip(a)]. 8375 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7873(a,1),8374(a,1,1))]. 8376 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8375(a,2),4804(a,1,2))]. 8381 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(7638,a,7986,a)]. 8391 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(220,a,8064,a(flip),b,8077,a)]. 8400 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7909,a,8202,a),flip(a)]. 8401 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6077,a,8400,a),flip(a)]. 8404 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8400(a,2),6169(a,1,1))]. 8407 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7884(a,1),8401(a,1,1)),flip(a)]. 8410 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7961(a,1),8211(a,2,1))]. 8411 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8048(a,1),8233(a,1,1)),flip(a)]. 8413 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6152(a,1),8411(a,1,2,2)),flip(a)]. 8417 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(220,a,6587,a(flip),b,8413,a)]. 8418 L(K(x,y * z),R(z,y,z),u) = L(K(x,y * z),T(z,y),u). [para(6447(a,1),8417(a,1,2))]. 8419 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(220,a,7690,a(flip),b,8234,a)]. 8420 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(115(a,1),8419(a,1,1)),flip(a)]. 8423 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7872(a,1),8286(a,2,2))]. 8425 T(K(x,y),z) * (T(y,x) * u) = T(y,K(x,z)) * u. [hyper(7886,a,8309,a(flip)),flip(a)]. 8426 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(7679,a,8425,a(flip))]. 8427 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8054(a,1),8426(a,1,1))]. 8428 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(220,a,8269,a(flip),b,8427,a(flip))]. 8433 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8372(a,2),7946(a,1,1))]. 8434 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(220,a,7606,a(flip),b,8381,a(flip))]. 8435 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7875(a,2),8434(a,1,2))]. 8436 (x \ y) * K(x,K(y,z)) = T(x \ y,K(z,y)). [hyper(220,a,8428,a,b,8435,a)]. 8437 (x \ y) * K(y,K(x,z)) = T(x \ y,K(z,y)). [para(7873(a,1),8436(a,1,2))]. 8438 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(20,a,7891,a,b,8437,a),flip(a)]. 8439 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8438,a)]. 8440 x * K(y,K(x,z \ x)) = T(x,K(y,z)). [para(8438(a,2),7921(a,1,2))]. 8441 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(220,a,7953,a,b,8439,a(flip)),flip(a)]. 8443 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(7941,a,8441,a)]. 8446 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(220,a,7893,a,b,8441,a)]. 8447 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(220,a,7875,a(flip),b,8441,a)]. 8448 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(220,a,8372,a,b,8441,a(flip)),flip(a)]. 8457 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6261(a,1),8443(a,1,2))]. 8464 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8446(a,2),7941(a,1))]. 8466 T(x,K(y,z \ 1)) = x * K(z,K(y,x)). [para(8447(a,1),7883(a,1,2)),flip(a)]. 8478 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7885,a,8440,a)]. 8479 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(220,a,6325,a,b,8478,a(flip)),flip(a)]. 8482 x * K(y,K(x / z,x)) = T(x,K(y,z)). [hyper(220,a,7891,a,b,8479,a(flip)),flip(a)]. 8484 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8457(a,1),7941(a,1))]. 8485 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(220,a,7891,a(flip),b,8466,a)]. 8486 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(220,a,7842,a(flip),b,8466,a)]. 8487 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7983,a,8485,a)]. 8490 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7563,a,8486,a),flip(a)]. 8494 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8487(a,2),7983(a,1))]. 8499 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(20,a,4801,a(flip),b,8482,a)]. 8502 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(6344(a,1),8499(a,1,2))]. 8505 K(x,y \ x) * K(x,K(z,y)) = K(x,T(y \ x,z)). [para(8502(a,1),7354(a,1,2))]. 8508 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7563,a,8490,a),flip(a)]. 8510 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(220,a,4801,a(flip),b,8508,a)]. 8513 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4866,a,8510,a)]. 8516 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(220,a,7649,a(flip),b,8513,a(flip)),flip(a)]. 8521 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6492(a,1),8513(a,1,2))]. 8525 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(248(a,1),8516(a,1,2)),flip(a)]. 8526 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(546(a,1),8516(a,1,2)),flip(a)]. 8529 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8521(a,1),7231(a,1))]. 8534 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5514(a,2),8464(a,1,2))]. 8537 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7219(a,2),8529(a,1))]. 8540 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6492(a,1),8537(a,1,2))]. 8555 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8441(a,1),8448(a,1,1))]. 8558 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8555(a,2),4801(a,2,2)),flip(a)]. 8580 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T((z \ y) \ x,u)). [para(6576(a,1),8505(a,1,1))]. 8581 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8525(a,1),6746(a,1,2))]. 8582 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8526(a,1),6742(a,1,2))]. 8583 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8526(a,2),7876(a,2,1))]. 8592 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8581,a(flip),b,4818,a),flip(a)]. 8593 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8582(a,1),5442(a,1,1)),flip(a)]. 8603 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(220,a,8060,a(flip),b,8118,a(flip))]. 8606 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8376,a,8558,a)]. 8620 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(220,a,8049,a(flip),b,8420,a(flip)),flip(a)]. 8622 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(2126,a,8592,a)]. 8624 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(220,a,7396,a(flip),b,8620,a),flip(a)]. 8625 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(66(a,1),8624(a,1,1,1)),flip(a)]. 8626 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(18(a,1),8625(a,1,1,2)),flip(a)]. 8628 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(220,a,6873,a(flip),b,8626,a(flip))]. 8629 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7748(a,1),8626(a,1,1))]. 8630 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(8628(a,2),4801(a,2,2)),flip(a)]. 8640 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(220,a,5244,a(flip),b,7721,a)]. 8642 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(220,a,5949,a(flip),b,8640,a(flip)),flip(a)]. 8682 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(220,a,8391,a(flip),b,8185,a(flip))]. 8684 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4835(a,1),8682(a,1,2,2)),flip(a)]. 8685 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7368(a,1),8682(a,1,2,2))]. 8686 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(220,a,6874,a,b,8684,a(flip)),flip(a)]. 8688 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(5681(a,1),8686(a,1,2))]. 8689 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(6206(a,1),8686(a,1,2))]. 8691 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8685(a,1),6169(a,1,1,2)),flip(a)]. 8693 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(220,a,8682,a(flip),b,8689,a)]. 8695 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(19(a,1),8693(a,1,2)),flip(a)]. 8696 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(220,a,8688,a,b,8695,a(flip)),flip(a)]. 8699 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7398(a,1),8696(a,1,2)),flip(a)]. 8702 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8691(a,2),6197(a,1))]. 8720 K(x,y) * z != x * (y * K(u \ x,u)) | (y * K(u \ x,u)) * x = z. [para(8340(a,1),22(a,1)),flip(a)]. 8728 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8446(a,1),8433(a,1,1,1)),flip(a)]. 8729 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8375(a,1),8728(a,2,1))]. 8730 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(220,a,4812,a,b,8729,a)]. 8731 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8494,a,8730,a),flip(a)]. 8732 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(220,a,8606,a(flip),b,8731,a(flip))]. 8733 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [hyper(220,a,3049,a(flip),b,8732,a)]. 8747 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(220,a,5491,a(flip),b,7753,a)]. 8751 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7367(a,2),8044(a,1,1))]. 8753 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(8222,a,7818,a)]. 8755 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(5779,a,8593,a),flip(a)]. 8775 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * L(T(y,v5),u,w)). [para(43(a,2),7277(a,2,2,2))]. 8776 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7321(a,1),7326(a,1,2,2)),flip(a)]. 8777 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(220,a,5362,a(flip),b,8776,a)]. 8779 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8777,a(flip))]. 8801 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(220,a,8410,a(flip),b,8214,a(flip)),flip(a)]. 8802 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(21,a,7599,a,b,8801,a)]. 8803 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4824(a,1),8802(a,1,2,2,1))]. 8830 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7875(a,1),8423(a,1,1,1))]. 8831 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T(y \ (z * x),u)). [hyper(220,a,7711,a(flip),b,8580,a)]. 8835 (K(x,y) * z) * L(T(y,u),w,v5) = K(x,y) * (z * L(T(y,u),w,v5)). [para(43(a,2),8775(a,1,2))]. 8841 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8407(a,1),8830(a,1,1))]. 8842 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7875(a,1),8841(a,2,1))]. 8843 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7873(a,1),8842(a,2,2))]. 8844 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(20,a,7920,a,b,8831,a),flip(a)]. 8845 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(8484,a,8844,a)]. 8847 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(19(a,1),8845(a,1,2,2,1)),flip(a)]. 8850 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(220,a,8194,a(flip),b,8847,a(flip)),flip(a)]. 8853 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8850(a,1),7850(a,1,2))]. 8855 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8006,a,8853,a),flip(a)]. 8856 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(16(a,1),8855(a,1,2,2,1)),flip(a)]. 8857 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),8856(a,1,2,2)),flip(a)]. 8858 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(537(a,1),8857(a,1,2,2))]. 8878 K(x,y) * (z * L(T(y,z),u,w)) = L(y,u,w) * (K(x,y) * z). [hyper(7318,a,8835,a),flip(a)]. 8879 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(172(a,1),8878(a,1,2)),flip(a)]. 8880 (L(x,y,z) * (K(u,x) * w)) \ ((L(x,y,z) * w) * K(u,x)) = K(L(x,y,z) * w,K(u,x)). [para(8879(a,2),29(a,2,1)),flip(a)]. 8893 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3519(a,2),8107(a,1,1))]. 8901 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(220,a,8628,a(flip),b,8893,a(flip)),flip(a)]. 8944 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(220,a,8803,a(flip),b,7797,a(flip)),flip(a)]. 8946 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8944,a(flip))]. 8947 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8238(a,1),8946(a,1,2))]. 8949 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(220,a,5489,a(flip),b,7801,a)]. 8950 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4883(a,1),8949(a,1,1)),flip(a)]. 8954 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7780(a,1),8779(a,1,1,2))]. 8955 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8954,a(flip))]. 8973 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5238(a,1),5258(a,2,2))]. 8974 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(220,a,16,a(flip),b,8973,a)]. 8975 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(8973(a,2),209(a,1))]. 8978 L(x,y,K(x,z)) = x. [hyper(220,a,7272,a(flip),b,8974,a(flip)),flip(a)]. 8979 (K(R(x,y,x),z) * y) \ (K(R(x,y,x),z) * T(x * y,x)) = R(x,y,x). [hyper(220,a,4577,a,b,8978,a(flip)),flip(a)]. 8981 (K(x,y) * z) * x = K(x,y) * (z * x). [para(8978(a,1),103(a,1,2))]. 8984 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(8978(a,1),393(a,1,2,1))]. 8988 L(K(x,y),z,K(y,u)) = K(x,y). [para(8978(a,1),6587(a,1,2)),flip(a)]. 8991 R(K(x,y),z,x) = K(x,y). [hyper(4688,a,8981,a)]. 8992 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(220,a,5064,a(flip),b,8981,a)]. 8995 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(8981(a,1),322(a,1,1))]. 8996 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5229(a,1),8981(a,1,1))]. 8998 K(x,R(y,z,x)) = K(x,y). [hyper(220,a,8693,a(flip),b,8991,a(flip)),flip(a)]. 8999 K(R(x,y,x),z) = K(x,z). [hyper(220,a,8626,a(flip),b,8991,a(flip)),flip(a)]. 9002 T(x,R(y,z,x)) = x * K(x,y). [para(8998(a,1),4801(a,2,2))]. 9005 x * K(R(x,y,x),z) = T(x,z). [para(8999(a,2),4801(a,2,2)),flip(a)]. 9008 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8999(a,1),5133(a,1,1))]. 9010 T(x,R(y,z,x)) = T(x,y). [hyper(220,a,4801,a,b,9002,a)]. 9019 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(653(a,1),9010(a,1,2))]. 9025 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(160,a,8992,a,b,4818,a)]. 9032 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6071,a,9025,a)]. 9034 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(17(a,1),9025(a,1,1)),flip(a)]. 9041 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9032(a,1),1508(a,1,1)),flip(a)]. 9042 K(x,(y * K(z,x)) \ u) = (y * T(y \ u,x)) \ u. [para(9032(a,1),5733(a,1,1,2)),flip(a)]. 9043 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9032(a,1),6074(a,1,1)),flip(a)]. 9044 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(220,a,4809,a,b,9034,a(flip)),flip(a)]. 9051 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(220,a,6155,a,b,9043,a),flip(a)]. 9059 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5130(a,1),9051(a,1,1,1)),flip(a)]. 9061 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7564,a,9019,a)]. 9062 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(120(a,1),9061(a,1,2)),flip(a)]. 9064 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9062(a,1),4836(a,1,1,1))]. 9065 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(220,a,5717,a(flip),b,9042,a)]. 9068 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(9065(a,1),4801(a,2,2))]. 9070 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5765(a,1),9065(a,1,2,1,2))]. 9071 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6192(a,1),9065(a,1,2,1)),flip(a)]. 9072 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(6530(a,1),9065(a,1,2,1))]. 9074 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(220,a,7087,a(flip),b,9072,a(flip)),flip(a)]. 9080 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4853(a,1),9074(a,1,2,2)),flip(a)]. 9084 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9074(a,1),6153(a,1,2,2)),flip(a)]. 9089 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(220,a,7001,a,b,9080,a),flip(a)]. 9095 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(16(a,1),9089(a,1,2)),flip(a)]. 9096 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9089(a,1),6570(a,1,1))]. 9098 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(220,a,4801,a,b,9068,a)]. 9100 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6172(a,1),9098(a,1,2,1)),flip(a)]. 9101 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6949(a,1),9100(a,1,2,1)),flip(a)]. 9117 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(103(a,1),9070(a,1,2,1))]. 9118 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = T(K(x,y \ v5),v6). [para(9070(a,1),7345(a,2,1))]. 9127 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(220,a,7108,a(flip),b,9071,a(flip))]. 9130 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(7398(a,1),9117(a,1,2,1,2)),flip(a)]. 9132 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(16(a,1),9127(a,1,2,2))]. 9134 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9080,a,b,9132,a)]. 9137 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9071,a,b,9134,a(flip)),flip(a)]. 9141 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9137(a,1),6570(a,1,1))]. 9143 L(x,y,K(z,z \ 1)) != u | u = x. [para(3555(a,1),8975(a,1))]. 9146 L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z) != w | L(x,y,z) = w. [para(4334(a,1),9143(a,1)),flip(b)]. 9151 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4688,a,8984,a)]. 9152 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4853(a,1),8984(a,1,1)),flip(a)]. 9153 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(8984(a,1),5070(a,1,1,2))]. 9155 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(220,a,8626,a(flip),b,9151,a(flip)),flip(a)]. 9158 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(7706,a,9155,a),flip(a)]. 9159 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9155(a,1),4812(a,2,1)),flip(a)]. 9160 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9155(a,1),5281(a,1,1,1)),flip(a)]. 9161 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(19(a,1),9158(a,1,2,2)),flip(a)]. 9162 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(220,a,8300,a(flip),b,9161,a(flip)),flip(a)]. 9164 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(16(a,1),9162(a,1,2,2)),flip(a)]. 9166 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(220,a,7850,a,b,9164,a)]. 9169 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8009,a,9166,a)]. 9171 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),9169(a,1,2,2)),flip(a)]. 9172 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(114(a,1),9169(a,1,2,2))]. 9173 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8484,a,9171,a)]. 9174 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(66(a,1),9173(a,1,2,2)),flip(a)]. 9175 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8534,a,9174,a),flip(a)]. 9177 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9172(a,1),7919(a,1,1))]. 9182 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9044(a,2),1507(a,2,1,2))]. 9183 T(x,y \ (K(x,z) * u)) = T(x,y \ u). [hyper(220,a,6153,a(flip),b,9084,a)]. 9184 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9084(a,2),6213(a,1))]. 9187 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5596(a,1),9183(a,1,2,2)),flip(a)]. 9190 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5115(a,1),9184(a,1,2))]. 9191 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(9190,a,7116,a),flip(a)]. 9192 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9191(a,1,2))]. 9193 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9187(a,1),4836(a,1,1,1))]. 9195 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1651(a,2),9152(a,1,2))]. 9197 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,45,a,b,9159,a)]. 9198 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8174,a,9177,a),flip(a)]. 9199 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(17(a,1),9198(a,1,2,2,1)),flip(a)]. 9200 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7513,a,9199,a),flip(a)]. 9202 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9200(a,1),8044(a,1,1,1))]. 9203 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(71,a,9197,a(flip),b,4189,a),flip(a)]. 9204 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9197(a,1),8996(a,1,1,2)),flip(a)]. 9214 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = K(x,T(y \ v5,v6)). [hyper(220,a,7345,a,b,9118,a)]. 9215 K(x,T((y * (z * K(x,u))) \ w,v5)) = K(x,T((y * z) \ w,v5)). [para(6539(a,1),9214(a,1,2,1,1)),flip(a)]. 9216 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(220,a,344,a(flip),b,9041,a)]. 9227 K(x,T((y * z) \ u,y * z)) = K(x,u / (y * (z * K(x,w)))). [hyper(220,a,8127,a(flip),b,9215,a(flip))]. 9229 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [hyper(220,a,8082,a(flip),b,9227,a(flip))]. 9231 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7401(a,1),9229(a,1,2,2)),flip(a)]. 9232 K(x,y / (z * (T(u,x) \ w))) = K(x,y / (z * (u \ w))). [para(7387(a,1),9229(a,1,2,2,2))]. 9233 K(x,y / (z * x)) = K(x,y / (x * z)). [para(4853(a,1),9231(a,1,2,2))]. 9236 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6705(a,1),9231(a,1,2,2))]. 9237 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(220,a,8642,a(flip),b,9233,a)]. 9238 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(115(a,2),9233(a,2,2)),flip(a)]. 9240 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),9237(a,1,2,2,1)),flip(a)]. 9241 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4209(a,1),9237(a,1,2,2,1))]. 9242 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(220,a,4992,a(flip),b,9238,a(flip)),flip(a)]. 9244 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4853(a,1),9236(a,1,2,2,1))]. 9255 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(220,a,9134,a(flip),b,9096,a)]. 9262 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9240,a(flip),b,9241,a)]. 9263 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9242,a,b,9262,a(flip)),flip(a)]. 9264 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(66(a,1),9263(a,2,2,2,1))]. 9269 (K(x,y) * z) \ (K(R(x,z,x),y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),8979(a,1,1,1))]. 9270 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),9269(a,1,2,1))]. 9273 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(9025(a,2),9270(a,1,2))]. 9274 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4875(a,1),9273(a,1,2,1))]. 9275 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(220,a,5074,a(flip),b,9274,a(flip)),flip(a)]. 9277 R(x,T(y,x),x) = R(x,y,x). [para(4844(a,1),9275(a,1,2)),flip(a)]. 9280 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,9064,a),flip(a)]. 9284 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8035(a,1),9202(a,1,1)),flip(a)]. 9285 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9284(a,1),19(a,1,1))]. 9287 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(16(a,1),9285(a,1,1,1,1))]. 9288 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(8995,a,7155,a)]. 9289 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8034(a,1),9288(a,1,3))]. 9290 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6560,a,9289,a)]. 9292 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9290(a,1),1861(a,1,1,2))]. 9299 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(220,a,9255,a(flip),b,9141,a(flip))]. 9305 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(16(a,1),9287(a,2,2,1,1))]. 9306 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,9305,a)]. 9307 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9305(a,1),272(a,1,1)),flip(b)]. 9309 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(118(a,2),9306(a,1,2))]. 9310 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(7171(a,2),9309(a,1,1))]. 9311 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9310(a,1),429(a,1))]. 9312 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5277(a,1),5286(a,1,1,2,1))]. 9313 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(87,a,9312,a)]. 9314 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(9313(a,2),63(a,1,2))]. 9315 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(9314(a,1),7588(a,1,1,1)),flip(a)]. 9327 (x \ 1) \ (y * K(K(x,x \ 1) * y,z)) = x * T(x \ ((x \ 1) \ y),z). [hyper(220,a,2993,a(flip),b,6557,a)]. 9328 (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)) != u | y * K(K(x,x \ 1) * y,z) = u. [para(9327(a,1),208(a,1,2)),flip(b)]. 9330 T(x / (y \ 1),(x / (y \ 1)) \ x) = ((x / (y \ 1)) \ T(x,y)) \ T(x,y). [hyper(5662,a,6781,a),flip(a)]. 9331 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [hyper(220,a,524,a(flip),b,9330,a(flip))]. 9333 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(9331(a,1),63(a,1,2))]. 9339 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(220,a,891,a(flip),b,6798,a(flip)),flip(a)]. 9347 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(173(a,1),9204(a,2,1))]. 9348 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(220,a,9195,a(flip),b,9347,a(flip))]. 9350 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8955(a,1),9339(a,2,2,2,1,1))]. 9356 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(15(a,1),5876(a,1,1))]. 9357 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5002,a,9356,a),flip(a)]. 9358 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1654(a,1),9357(a,1,1))]. 9359 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6908,a(flip),b,9358,a)]. 9360 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6910,a(flip),b,9359,a(flip)),flip(a)]. 9361 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(160,a,9360,a,b,3661,a)]. 9363 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(39,a,9361,a)]. 9364 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9363(a,1),4904(a,1,1,1))]. 9365 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9364(a,1),2173(a,1,1)),flip(a)]. 9366 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3273(a,1),5925(a,1,2,1,1))]. 9367 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3041(a,1),9366(a,1,2))]. 9368 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(220,a,6862,a(flip),b,6649,a(flip))]. 9369 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1829(a,2),6748(a,1,2))]. 9375 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(7281(a,2),674(a,1))]. 9379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(45(a,2),8753(a,1,1,2))]. 9388 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9193(a,1),5012(a,1))]. 9389 x * K(K(y,y \ 1) * x,z) = T(x,z). [hyper(9328,a,4561,a)]. 9391 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4801,a(flip),b,9389,a)]. 9402 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2808(a,1),9391(a,1,1))]. 9403 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2821(a,1),9391(a,1,1)),flip(a)]. 9419 K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) != u | K(x \ y,z) = u. [para(9403(a,2),7230(a,1))]. 9451 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(3806(a,1),9419(a,1))]. 9453 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(6335(a,1),9451(a,1))]. 9464 (x * y) * L((y \ (z \ 1)) * K(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5726(a,1),9369(a,1,2,1))]. 9474 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7959(a,1),9379(a,1,2))]. 9475 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8733(a,1),9474(a,1,2))]. 9476 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(9475(a,1),6740(a,1,1,2))]. 9478 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5362(a,1),9476(a,1,1))]. 9479 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,6964,a(flip),b,9478,a(flip))]. 9480 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9479(a,1),8593(a,2,1))]. 9481 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4628(a,1),4661(a,2,1))]. 9489 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4857(a,1),5128(a,2,2))]. 9490 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(9489(a,2),396(a,1))]. 9492 L(x,y,T(x,z)) = L(x,y,x). [hyper(9490,a,7272,a),flip(a)]. 9494 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9492(a,1),43(a,2,1))]. 9497 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(220,a,43,a,b,9494,a)]. 9508 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(5686(a,1),5722(a,2,1))]. 9509 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(220,a,33,a,b,9508,a)]. 9512 R(x,y,T(L(x,z,u),w)) = R(x,y,L(x,z,u)). [hyper(220,a,7264,a(flip),b,9509,a(flip)),flip(a)]. 9530 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(220,a,4562,a,b,6215,a),flip(a)]. 9550 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(142(a,1),8282(a,1,1))]. 9552 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6173(a,1),9550(a,1,2))]. 9553 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(9367(a,1),9552(a,1,2)),flip(a)]. 9554 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(220,a,14,a(flip),b,9553,a)]. 9555 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5249,a,9554,a)]. 9562 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(66(a,1),9481(a,1,1,2)),flip(a)]. 9563 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3762(a,1),9530(a,1,1)),flip(a)]. 9565 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(9563(a,1),6218(a,1,2)),flip(a)]. 9568 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(220,a,9315,a(flip),b,9565,a)]. 9569 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(220,a,5279,a(flip),b,9568,a)]. 9570 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(220,a,8332,a(flip),b,9569,a(flip)),flip(a)]. 9580 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = K(y,z). [hyper(220,a,2033,a(flip),b,6627,a)]. 9584 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(220,a,5487,a(flip),b,7137,a(flip))]. 9585 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(118(a,1),7174(a,2,2))]. 9591 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9175(a,1),8583(a,1,2))]. 9592 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7875(a,1),9591(a,1,2))]. 9594 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8526(a,1),9592(a,2,1))]. 9595 (L(x,y,z) * (K(u,x) * w)) \ (L(x,y,z) * (w * K(u,x))) = K(L(x,y,z) * w,K(u,x)). [para(7181(a,1),8880(a,1,2))]. 9599 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9475(a,1),9480(a,1,2,1))]. 9600 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5114(a,1),9599(a,1,2))]. 9603 K(L(x,K(y,z),L(z,u,w)),K(y,z)) = K(L(z,u,w) * x,K(y,z)). [hyper(6951,a,9595,a)]. 9604 K(x,K(L(y,K(x,z),L(z,u,w)),z)) = K(L(z,u,w) * y,K(x,z)). [hyper(7879,a,9603,a)]. 9618 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5778(a,1),6628(a,1,1,2))]. 9619 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(220,a,581,a(flip),b,9618,a)]. 9621 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(9619(a,1),19(a,1,1))]. 9622 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5249,a,9621,a)]. 9623 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7875(a,2),9621(a,1,1))]. 9624 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5238(a,1),9622(a,1,2,2)),flip(a)]. 9625 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(220,a,7704,a(flip),b,9624,a)]. 9629 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(9625(a,1),4818(a,1,2)),flip(a)]. 9630 R(x,y,T(x,y)) * z = x * (x * (L(x,y,x) \ z)). [hyper(220,a,5959,a(flip),b,9629,a(flip)),flip(a)]. 9631 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [para(4576(a,1),9630(a,1,1)),flip(a)]. 9632 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [hyper(20,a,1326,a,b,9631,a),flip(a)]. 9634 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7875(a,2),9623(a,2,2,1))]. 9635 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(555,a,9634,a),flip(a)]. 9636 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7875(a,2),9635(a,1,2,1))]. 9695 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(392(a,1),5396(a,1,2))]. 9696 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(5082(a,1),9695(a,1,2,2))]. 9697 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(87,a,9696,a),flip(a)]. 9698 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(9696(a,1),272(a,1,1)),flip(b)]. 9699 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1325(a,1),9696(a,1,1,2))]. 9700 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9696(a,1),8699(a,1,2)),flip(a)]. 9702 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9696(a,1),9074(a,1,2,2)),flip(a)]. 9704 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4972(a,1),9702(a,1,2,2,2)),flip(a)]. 9705 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(5238(a,1),9702(a,1,2,2,2)),flip(a)]. 9706 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(7484(a,1),9702(a,1,2,2,2))]. 9707 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(220,a,7618,a(flip),b,9704,a(flip))]. 9708 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(390(a,1),9705(a,1,2))]. 9709 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(9706(a,1),6169(a,1,1,2)),flip(a)]. 9710 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5249,a,9699,a),flip(a)]. 9711 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5238(a,1),9699(a,1,2,2)),flip(a)]. 9714 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(71,a,58,a(flip),b,9710,a),flip(a)]. 9715 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(71,a,9714,a,b,1240,a)]. 9718 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7282(a,1),9711(a,2,2))]. 9733 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(220,a,6169,a(flip),b,9709,a)]. 9734 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(98(a,1),9733(a,1,1,2,2))]. 9737 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(390(a,1),9734(a,2,1))]. 9741 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5114(a,1),9718(a,1,2)),flip(a)]. 9755 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(220,a,9299,a(flip),b,9707,a(flip))]. 9756 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [hyper(220,a,7086,a(flip),b,9708,a(flip))]. 9758 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(220,a,9130,a(flip),b,9756,a(flip))]. 9760 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(31(a,2),9758(a,2,2))]. 9761 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(9760(a,1),5264(a,1,2,2)),flip(a)]. 9762 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(220,a,5264,a(flip),b,9761,a)]. 9763 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4844(a,1),9762(a,1,1,2)),flip(a)]. 9764 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(220,a,7617,a,b,9755,a(flip))]. 9772 (x * y) * L((y \ (z \ 1)) * K(y \ 1,z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5578(a,1),9464(a,1,2,1,2))]. 9773 x * (y * ((y \ (z \ 1)) * K(y \ 1,z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(212,a,9772,a)]. 9774 (x * K(y \ 1,z)) * (z \ 1) = x * ((z \ 1) * K(y \ 1,z)). [para(7143(a,1),9773(a,1,2)),flip(a)]. 9775 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4847(a,1),9774(a,2,2))]. 9776 (x * K(y,z)) * (z \ 1) = x * (T(z,(y \ 1) \ 1) \ 1). [para(3041(a,1),9775(a,1,1,2))]. 9777 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(3083(a,1),9776(a,2,2,1))]. 9778 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4834(a,1),9777(a,2,2))]. 9781 L((x \ (x * (T(y,z) \ 1))) / (y \ 1),y \ 1,x) = K(z,y). [para(9777(a,1),9580(a,1,1,1,2))]. 9782 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(220,a,6625,a(flip),b,9778,a(flip)),flip(a)]. 9785 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(9782(a,1),3422(a,1,1))]. 9787 L((T(x,y) \ 1) / (x \ 1),x \ 1,z) = K(y,x). [para(16(a,1),9781(a,1,1,1))]. 9789 L(K(x,y),y \ 1,z) = K(x,y). [para(5113(a,1),9787(a,1,1))]. 9791 (x * (y \ K(y,z))) * K(z,y) = x * (y \ 1). [para(9789(a,1),6542(a,1,2))]. 9792 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(506,a,9791,a)]. 9794 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4801(a,2),9792(a,1,1))]. 9795 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9794(a,2),66(a,1,1))]. 9796 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4990(a,1),9795(a,2,2))]. 9797 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(120(a,1),9796(a,1,1,1))]. 9798 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9797(a,1),6760(a,1,1))]. 9799 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4232(a,2),9798(a,1,1,2))]. 9800 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(8747(a,1),9799(a,1,1,2))]. 9801 R(x,y \ 1,K(z,y)) = x. [hyper(272,a,9785,a)]. 9804 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(220,a,4870,a(flip),b,9801,a(flip)),flip(a)]. 9805 R(x,y,K(z,y \ 1)) = x. [hyper(220,a,4432,a(flip),b,9801,a(flip)),flip(a)]. 9806 R(x,y \ z,K(u,z \ y)) = x. [para(6107(a,1),9805(a,1,3))]. 9807 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(9806(a,1),414(a,1,1))]. 9808 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4847(a,1),9804(a,1,2))]. 9809 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(9808(a,1),66(a,1,1))]. 9811 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(220,a,9333,a,b,9809,a(flip)),flip(a)]. 9813 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(9811(a,1),4250(a,1,1)),flip(a)]. 9814 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(66(a,1),9813(a,1,1,2,1)),flip(a)]. 9815 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),T(x,y)) \ 1) \ T(x,y). [para(831(a,2),9814(a,2,1,2)),flip(a)]. 9816 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(9807(a,1),6656(a,1,2))]. 9832 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5464,a,9816,a),flip(a)]. 9833 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,9832,a)]. 9836 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),9833(a,1,2,1))]. 9837 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(5661,a,9836,a),flip(a)]. 9839 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,9836,a)]. 9840 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(9836(a,1),5661(a,1))]. 9842 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(150(a,2),9839(a,1,1,2))]. 9843 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(220,a,9292,a(flip),b,9842,a(flip)),flip(a)]. 9848 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9843(a,1),1896(a,1,1))]. 9849 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),x) \ 1) \ T(x,y). [para(4302(a,1),9815(a,2,1,1))]. 9850 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(2287(a,1),9849(a,2,1))]. 9851 (T(x,y) \ ((1 / y) \ T(x,y))) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(831(a,1),9850(a,1,1,2))]. 9852 (x \ ((1 / y) \ x)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(4363(a,1),9851(a,1,1))]. 9853 (1 / T(x,y)) \ T(y,x) = (1 / x) \ y. [hyper(4047,a,9852,a),flip(a)]. 9854 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [para(9853(a,1),63(a,1,2))]. 9855 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(9842(a,1),9854(a,2,2))]. 9856 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6547(a,1),9855(a,1,1))]. 9857 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5459,a,9600,a)]. 9861 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(7623,a,9857,a)]. 9894 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(220,a,4455,a(flip),b,6987,a)]. 9895 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(220,a,1313,a(flip),b,9894,a)]. 9896 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1733(a,1),9895(a,1,2))]. 9897 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4741,a(flip),b,9896,a)]. 9898 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(387(a,1),7570(a,1,2)),flip(a)]. 9907 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(4818(a,1),9153(a,1,1))]. 9908 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,9907,a),flip(a)]. 9909 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(9907(a,1),597(a,1))]. 9910 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5062(a,1),9908(a,1,2)),flip(a)]. 9912 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9562(a,2,2,2,1,1,2))]. 9913 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9912(a,1,2))]. 9914 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(9913(a,1),9368(a,1,1))]. 9915 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6648,a,9914,a)]. 9916 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9233,a(flip),b,9915,a(flip))]. 9918 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9244,a(flip),b,9916,a(flip)),flip(a)]. 9919 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(9918(a,1),4801(a,2,2)),flip(a)]. 9975 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * K(z \ (x * y),u). [para(2434(a,1),6333(a,2,2))]. 9976 x * (y * (1 / (1 / (y \ ((x \ z) * T((x \ z) \ y,u)))))) = (x * y) * K(z \ (x * y),u). [para(1167(a,1),9975(a,1,2,2,2,2,2))]. 9977 x * (y * (1 / (1 / K((x \ z) \ y,u)))) = (x * y) * K(z \ (x * y),u). [para(6139(a,1),9976(a,1,2,2,2,2))]. 9978 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(2434(a,1),9977(a,1,2,2)),flip(a)]. 9982 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [hyper(388,a,9978,a)]. 9991 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(16(a,1),9982(a,1,1,1,1))]. 9992 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5242(a,1),9982(a,1,1,1,1))]. 9993 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(9982(a,1),7551(a,1))]. 9995 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(66(a,1),9991(a,1,1,1)),flip(a)]. 9996 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),9991(a,2,1))]. 9997 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6436(a,1),9991(a,1,1))]. 10000 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(9991(a,2),7622(a,1))]. 10001 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4026,a,9996,a)]. 10003 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2770(a,1),9996(a,2,1))]. 10004 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(10001(a,1),4982(a,1,1))]. 10005 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(107(a,2),9995(a,1,1))]. 10006 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(220,a,31,a(flip),b,10005,a)]. 10007 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(220,a,8061,a(flip),b,10005,a(flip))]. 10008 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),10005(a,1,1,2)),flip(a)]. 10009 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4082(a,1),10005(a,1,1,2))]. 10010 L(K(x,y),z,K(u,x)) = K(x,y). [para(7268(a,1),10005(a,1,1)),flip(a)]. 10012 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(10010(a,1),103(a,1,2))]. 10013 K(L(x,y,z),z) = K(x,z). [hyper(7290,a,10008,a),flip(a)]. 10014 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(7178,a,10008,a),flip(a)]. 10015 K(L(x,y,x),z) = K(x,z). [hyper(7035,a,10008,a),flip(a)]. 10016 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(220,a,3041,a,b,10008,a)]. 10017 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(220,a,7770,a(flip),b,10008,a(flip))]. 10018 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(220,a,7111,a(flip),b,10008,a(flip))]. 10019 K(L(x,y,z),x \ 1) = K(x,L(x \ 1,u,w)). [hyper(220,a,5857,a(flip),b,10008,a(flip))]. 10021 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7017(a,1),10008(a,1,1)),flip(a)]. 10022 K(L(x,y,x),z) != u | K(x,z) = u. [para(10008(a,1),7035(a,1))]. 10023 K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5. [para(10008(a,1),7178(a,1))]. 10024 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10008(a,1),7315(a,1,2,2))]. 10025 K(x * K(L(y,z,u),w),y) = K(x,y). [para(10008(a,1),7754(a,1,1,2))]. 10026 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(48(a,1),10013(a,1,1))]. 10028 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(10013(a,1),8073(a,1,1,2)),flip(a)]. 10030 L(x,y,x) \ L(T(x,z),y,x) = K(x,z). [hyper(220,a,4802,a,b,10015,a(flip)),flip(a)]. 10033 K(L(x,y,z) * u,K(w,x)) = K(w,K(u,x)). [para(10014(a,1),9604(a,1,2)),flip(a)]. 10034 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(220,a,8603,a(flip),b,10018,a(flip))]. 10035 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(8232(a,2),10022(a,1))]. 10036 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(397(a,1),10024(a,1,2))]. 10038 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7368(a,1),10025(a,1,1))]. 10043 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(703(a,1),10035(a,1,1))]. 10046 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10038(a,1),8073(a,1,1,2)),flip(a)]. 10051 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(10030(a,1),17(a,1,2))]. 10055 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(10051(a,1),5839(a,1,1)),flip(a)]. 10058 K(L(x,K(y,z),u),y) = K(x,y). [hyper(220,a,7750,a(flip),b,10017,a)]. 10060 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(217(a,1),10058(a,1,1))]. 10061 K(x \ (x * y),z) != u | K(y,z) = u. [para(5478(a,1),10023(a,1,1))]. 10066 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(220,a,9737,a,b,10026,a(flip)),flip(a)]. 10067 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,10028,a)]. 10068 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(400(a,1),10067(a,1,2,2)),flip(a)]. 10072 K(L(x,y,z) * u,K(w,x)) = K(x,K(w,u)). [hyper(220,a,7875,a(flip),b,10033,a)]. 10083 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(7897,a,10072,a)]. 10090 T(K(x,y),L(y,z,u) * w) = K(y,K(x,w)) * K(x,y). [para(10083(a,1),7846(a,1,1)),flip(a)]. 10091 L(K(x,x \ 1),y,z) = K(L(x,u,w),x \ 1). [hyper(220,a,5857,a,b,10019,a),flip(a)]. 10092 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(10043,a,8858,a),flip(a)]. 10094 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(10092(a,1),4801(a,2,2))]. 10095 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(220,a,4801,a,b,10094,a)]. 10096 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10095(a,1),8349(a,1,1,1))]. 10097 L(x,y,z) \ K(L(x,u,w),x \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(71,a,10091,a(flip),b,2348,a)]. 10099 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(220,a,9402,a(flip),b,10003,a)]. 10109 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(10012(a,1),886(a,1,1,2))]. 10110 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(10016(a,2),5019(a,1))]. 10111 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(6206(a,1),10110(a,1,2))]. 10112 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(10021(a,2),10110(a,1))]. 10113 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(10055(a,1),5120(a,1,2))]. 10114 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(220,a,7760,a(flip),b,10060,a)]. 10116 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6949(a,1),10114(a,1,1,1)),flip(a)]. 10117 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7232(a,1),10114(a,1,1,1)),flip(a)]. 10118 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8048(a,1),10114(a,1,1,1,2))]. 10120 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(220,a,8855,a(flip),b,10068,a(flip))]. 10121 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),10120(a,1,2,2,2)),flip(a)]. 10143 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(7136,a,10116,a),flip(a)]. 10144 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(10116(a,1),7136(a,1))]. 10145 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(8306,a,10118,a),flip(a)]. 10146 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8303,a,10145,a),flip(a)]. 10148 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6663(a,1),10146(a,1,1,2)),flip(a)]. 10154 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(17(a,1),10143(a,1,1,1,2)),flip(a)]. 10156 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10143(a,1),4969(a,2,2,2)),flip(a)]. 10157 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(6530(a,1),10148(a,1,1,2,1))]. 10161 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(220,a,7772,a(flip),b,10154,a(flip)),flip(a)]. 10162 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(421(a,1),10157(a,1,1))]. 10163 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(15(a,1),10161(a,2,1,1))]. 10164 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(220,a,10163,a(flip),b,9997,a)]. 10166 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [para(17(a,1),10164(a,2,1,2,1))]. 10170 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(10006(a,2),396(a,1))]. 10171 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(63(a,1),10170(a,1,1,2))]. 10174 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(220,a,8073,a(flip),b,10046,a)]. 10175 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),10174(a,1,2,2))]. 10176 T(K(x,y),L(y,z,u) * w) != v5 | K(x,T(y,w)) = v5. [para(10090(a,2),8174(a,1))]. 10177 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10176,a,7345,a(flip)),flip(a)]. 10180 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(10036(a,1),10177(a,1,2))]. 10186 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(17(a,1),10180(a,1,2,2,2))]. 10192 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(220,a,7489,a(flip),b,10186,a)]. 10193 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10192(a,1),8043(a,1,1,1)),flip(a)]. 10195 L(K(x * (y \ z),x),y \ z,y) != u | K((z \ y) \ x,x) = u. [para(10166(a,2),9993(a,1))]. 10196 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(411(a,1),10171(a,1,1))]. 10204 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8048(a,1),10007(a,1,1)),flip(a)]. 10205 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(220,a,10009,a(flip),b,10204,a(flip)),flip(a)]. 10206 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(18(a,1),10204(a,1,1,2)),flip(a)]. 10207 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(135(a,1),10204(a,1,1,2)),flip(a)]. 10211 L(K(x,y),x \ T(x * z,z),u) = L(K(x,y),R(z,x,z),u). [para(3992(a,1),10205(a,1,2)),flip(a)]. 10212 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(220,a,6569,a(flip),b,10207,a(flip))]. 10213 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4828(a,2),10207(a,1,2)),flip(a)]. 10214 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4856(a,1),10207(a,1,2))]. 10215 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8048(a,1),10207(a,1,1))]. 10216 L(K(x,y),K(z,x),u) = K(x,y). [hyper(220,a,8307,a(flip),b,10213,a(flip))]. 10219 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(10216(a,1),212(a,1,2))]. 10221 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5765(a,1),10216(a,1,2))]. 10222 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10221(a,1),103(a,1,2))]. 10223 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(220,a,8061,a(flip),b,10215,a)]. 10225 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(17(a,1),10223(a,1,2)),flip(a)]. 10226 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(220,a,10214,a,b,10225,a(flip)),flip(a)]. 10228 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [hyper(220,a,7233,a(flip),b,10226,a(flip)),flip(a)]. 10233 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(10228(a,1),478(a,1,2))]. 10234 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(220,a,10034,a(flip),b,10175,a(flip))]. 10237 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(19(a,1),10234(a,1,2,2,2)),flip(a)]. 10239 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(220,a,9764,a,b,10237,a(flip)),flip(a)]. 10241 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(390(a,1),10212(a,2,2))]. 10243 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(10219,a,6671,a(flip)),flip(a)]. 10244 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(2122(a,2),10243(a,2,2))]. 10245 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(10243(a,1),6234(a,1,1))]. 10246 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [para(10243(a,1),6673(a,1,1))]. 10247 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6670,a,10244,a)]. 10249 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(220,a,6671,a(flip),b,10244,a(flip)),flip(a)]. 10250 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(2997(a,1),10244(a,1,1))]. 10251 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(10244(a,1),6673(a,1,1))]. 10259 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7368(a,1),10247(a,1,1))]. 10262 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5685(a,1),10249(a,1,1)),flip(a)]. 10263 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,10246,a,b,10251,a(flip)),flip(a)]. 10267 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(78,a,10263,a)]. 10268 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10263(a,1),272(a,1,1)),flip(b)]. 10272 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(220,a,2122,a,b,10267,a)]. 10280 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(220,a,7420,a(flip),b,10259,a)]. 10281 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(220,a,6524,a(flip),b,10262,a)]. 10282 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7368(a,1),10280(a,1,2))]. 10292 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4970,a,10156,a),flip(a)]. 10294 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(220,a,9101,a,b,10292,a(flip)),flip(a)]. 10298 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(220,a,8988,a(flip),b,9992,a(flip)),flip(a)]. 10299 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(220,a,10117,a(flip),b,10298,a(flip))]. 10305 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8034(a,1),10299(a,1,1,2))]. 10306 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(10299(a,1),10061(a,1))]. 10307 K(K(x,y) * z,y) != u | K(z,y) = u. [para(5242(a,1),10306(a,1,1))]. 10312 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(5543(a,1),10307(a,1,1))]. 10315 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8071(a,1),10305(a,1,1,2))]. 10316 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),10312(a,1,1,2))]. 10317 T(T(x,y),z \ T(x,u)) = 1 / (T(x,y) \ K(z \ x,T(x,y))). [para(10315(a,1),4969(a,2,2,2))]. 10319 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7246(a,2),10316(a,1))]. 10336 T(T(x,y),z \ T(x,u)) = T(T(x,y),z \ x). [hyper(220,a,4969,a,b,10317,a)]. 10337 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(10336(a,1),8529(a,1,2))]. 10338 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(10337,a,10121,a),flip(a)]. 10339 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(8540,a,10338,a)]. 10340 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),10339(a,1,2,2)),flip(a)]. 10341 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10340(a,1),8751(a,1,1))]. 10346 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(10144,a,10066,a)]. 10348 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(5985,a,10097,a),flip(a)]. 10349 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(10348(a,1),1302(a,1,1)),flip(a)]. 10350 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(71,a,10349,a(flip),b,2992,a)]. 10351 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(10111,a,10206,a)]. 10353 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(10351(a,1),8404(a,1,1,1,2)),flip(a)]. 10355 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(8034(a,1),10193(a,2,1))]. 10365 R(x,L(K(y,z),u,w),K(z,v5)) = x. [hyper(418,a,10222,a)]. 10367 R(x,K(y,z),K(z,u)) = x. [para(378(a,1),10365(a,1,2))]. 10368 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(10365(a,1),454(a,1,1))]. 10369 R(x,T(K(y,z),u),K(z,w)) = x. [para(1621(a,1),10367(a,1,2))]. 10371 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(10367(a,1),6160(a,1,1))]. 10372 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5468(a,1),10369(a,1,3))]. 10374 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10372(a,1),754(a,1,1)),flip(a)]. 10375 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10372(a,1),6932(a,1)),flip(a)]. 10378 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(220,a,8622,a(flip),b,10371,a)]. 10379 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(220,a,4123,a(flip),b,10371,a(flip))]. 10380 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(43(a,2),10371(a,1,2,2))]. 10381 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1662(a,1),10371(a,1,2))]. 10384 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(220,a,5969,a,b,10379,a(flip)),flip(a)]. 10386 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(16(a,1),10384(a,1,2,2)),flip(a)]. 10387 x \ R(x,T(y,x),x) = a(x,y,x). [para(155(a,1),10386(a,1,2)),flip(a)]. 10388 x \ R(x,y,x) = a(x,y,x). [para(9277(a,1),10387(a,1,2))]. 10391 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(5972,a,10388,a)]. 10392 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5967,a,10388,a)]. 10393 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5964,a,10388,a)]. 10394 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,7820,a(flip),b,10388,a(flip))]. 10395 x * a(x,y,x) = R(x,y,x). [para(10388(a,1),17(a,1,2))]. 10402 x \ R(x,y,x) != z | a(x,y,x) = z. [para(10395(a,1),209(a,1,2)),flip(b)]. 10406 K(x,y) * a(y,x,y) = K(y * x,y). [para(10392(a,1),5247(a,1,2))]. 10414 (x / y) * a(y,z,y) = x / L(y,z,y). [para(10393(a,1),10281(a,1,2))]. 10429 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(7176,a,10394,a)]. 10432 a(x,y,T(x,z)) = a(x,y,x). [hyper(220,a,10388,a(flip),b,10429,a)]. 10433 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10429(a,2),10402(a,1))]. 10434 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10432(a,1),6525(a,1))]. 10435 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),10414(a,1,1)),flip(a)]. 10436 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1935,a,10435,a)]. 10438 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(220,a,7278,a(flip),b,10436,a(flip)),flip(a)]. 10442 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(220,a,10113,a,b,10438,a(flip)),flip(a)]. 10443 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(220,a,9632,a,b,10438,a(flip)),flip(a)]. 10445 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(10438(a,1),4875(a,1,2))]. 10446 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9497(a,1),10438(a,1,2,1))]. 10447 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10438(a,1),9631(a,1,2))]. 10448 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(220,a,7282,a(flip),b,10443,a(flip)),flip(a)]. 10449 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(16(a,1),10443(a,1,2)),flip(a)]. 10454 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [hyper(71,a,10447,a(flip),b,433,a)]. 10455 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,10447,a(flip),b,103,a)]. 10458 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(10448(a,2),22(a,1))]. 10459 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4581(a,1),10448(a,1,2))]. 10460 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(10388(a,2),10448(a,2,2))]. 10461 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10449(a,1),209(a,1,2)),flip(b)]. 10465 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10455(a,1),10461(a,1))]. 10466 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10442(a,1),4857(a,1,2))]. 10477 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(220,a,7702,a(flip),b,10445,a)]. 10478 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10448(a,2),10466(a,1,2))]. 10481 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(20,a,10442,a(flip),b,10446,a(flip))]. 10484 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(220,a,9741,a(flip),b,10478,a(flip)),flip(a)]. 10486 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10484(a,1),9008(a,1,2))]. 10490 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(19(a,1),10239(a,1,2,1)),flip(a)]. 10494 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5996(a,1),10350(a,1,2)),flip(a)]. 10495 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(220,a,4684,a(flip),b,10494,a(flip))]. 10496 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3003,a,10495,a)]. 10502 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(220,a,7400,a(flip),b,10490,a(flip))]. 10503 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(220,a,6107,a(flip),b,10502,a)]. 10504 K(x,y \ ((z * (x \ u)) * x)) != w | K(x,y \ (z * u)) = w. [para(10502(a,2),6418(a,1))]. 10505 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(220,a,9095,a(flip),b,10503,a(flip))]. 10506 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(220,a,7107,a,b,10505,a(flip)),flip(a)]. 10508 L(K(x,x \ y),y,z) = K(x,x \ y). [para(16(a,1),10506(a,1,3))]. 10509 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7709,a,10508,a)]. 10514 K(x,L(y,x,z)) = K(x,x \ (x * y)). [hyper(220,a,7104,a(flip),b,10509,a(flip)),flip(a)]. 10516 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10509(a,1),7123(a,1,2))]. 10518 K(x,L(y,x,z)) = K(x,y). [para(16(a,1),10514(a,2,2))]. 10519 K(L(x,y,z),y) = K(x,y). [hyper(6958,a,10518,a)]. 10521 (x * (y * z)) * K(z,y) = x * (z * y). [para(10518(a,1),6949(a,1,2))]. 10522 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(10171,a,10519,a)]. 10525 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10519(a,1),10245(a,1,1,2,1)),flip(a)]. 10526 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10000,a,10522,a)]. 10527 L(K(x \ y,x),y,z) = K(y / x,x). [hyper(220,a,5147,a,b,10522,a)]. 10528 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(10527(a,2),5276(a,1))]. 10531 R(x,y * z,K(z,y)) = x. [hyper(21,a,427,a,b,10521,a(flip)),flip(a)]. 10535 R(x,y,T(z,y)) = R(x,y,z). [hyper(6819,a,10531,a)]. 10548 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(17(a,1),10526(a,1,1,2,2))]. 10550 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(220,a,7249,a(flip),b,10548,a(flip))]. 10552 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(5989(a,1),10550(a,1,1,2,1))]. 10557 T(x,L(y,x,z)) = T(x,y). [hyper(220,a,10245,a(flip),b,10525,a)]. 10561 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(220,a,9192,a(flip),b,10557,a(flip)),flip(a)]. 10564 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(411(a,1),10557(a,1,2))]. 10565 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10557(a,1),6825(a,1,1,2)),flip(a)]. 10567 K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). [para(10561(a,1),6954(a,1,1,2,2)),flip(a)]. 10568 L(x,T(y,x),z) = L(x,y,z). [hyper(220,a,31,a,b,10565,a),flip(a)]. 10571 L(x,y / x,z) = L(x,x \ y,z). [para(120(a,1),10568(a,1,2)),flip(a)]. 10574 K(x,L(y,y \ z,u)) != w | L(K(x,y),z,u) = w. [para(10571(a,1),6596(a,1,2))]. 10575 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10571(a,1),10170(a,1,1))]. 10577 K(x,L(y,K(y,z) * u,w)) != v5 | L(K(x,y),T(y,z) * u,w) = v5. [para(5061(a,1),10574(a,1,2,2))]. 10592 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(8049(a,1),10341(a,1,1)),flip(a)]. 10594 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(6203,a,10368,a)]. 10595 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(220,a,2128,a(flip),b,10594,a)]. 10596 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6172(a,1),10595(a,1,2)),flip(a)]. 10597 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6717(a,1),10596(a,1,2))]. 10598 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6535,a,10597,a)]. 10600 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2130,a,10597,a)]. 10609 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10164(a,1),10597(a,1,2))]. 10614 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5944,a,10600,a)]. 10617 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10614(a,1),23(a,1)),flip(a)]. 10638 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10609(a,1),5248(a,1,2))]. 10639 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10617,a,10638,a)]. 10640 L(K(x,x * (x \ T(x * y,y))),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [hyper(220,a,10211,a(flip),b,10639,a(flip)),flip(a)]. 10659 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(10233,a,8038,a(flip)),flip(a)]. 10660 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7092(a,1),10374(a,1,2)),flip(a)]. 10668 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5022,a,10486,a),flip(a)]. 10669 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(10496(a,1),3650(a,2,1)),flip(a)]. 10683 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(220,a,7221,a(flip),b,10096,a(flip)),flip(a)]. 10684 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(220,a,8901,a,b,10683,a(flip)),flip(a)]. 10685 K(a(x,y,z),x) = 1. [hyper(5930,a,10684,a),flip(a)]. 10688 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,10685,a)]. 10699 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(220,a,43,a,b,10564,a(flip)),flip(a)]. 10700 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(220,a,6954,a(flip),b,10567,a)]. 10701 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7662(a,1),10659(a,1,1))]. 10702 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(u * z) / (u * (y \ z))). [hyper(220,a,9697,a,b,10701,a)]. 10704 L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(10701(a,2),9698(a,1))]. 10706 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(220,a,8751,a(flip),b,10702,a(flip))]. 10708 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(220,a,9585,a,b,10706,a),flip(a)]. 10709 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(220,a,10592,a(flip),b,10706,a)]. 10710 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(220,a,9306,a(flip),b,10706,a)]. 10711 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10706(a,2),9307(a,1))]. 10712 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(220,a,9916,a(flip),b,10710,a(flip)),flip(a)]. 10713 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),10712(a,1,2,2,2)),flip(a)]. 10714 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),10713(a,2,2))]. 10716 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9311,a,10714,a)]. 10717 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10716(a,1),426(a,1,1))]. 10718 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(220,a,6882,a(flip),b,10717,a(flip))]. 10719 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4883(a,1),10718(a,2,1))]. 10720 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(220,a,7171,a(flip),b,10719,a(flip)),flip(a)]. 10722 L(x,K(y,z),z * y) = x. [hyper(679,a,10720,a)]. 10723 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(479,a,10720,a)]. 10730 L(x,K(y \ z,y),z) = x. [para(17(a,1),10722(a,1,3))]. 10731 L(x,K(y,y \ z),z) = x. [para(5148(a,1),10730(a,1,2))]. 10732 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(220,a,6087,a(flip),b,10731,a(flip)),flip(a)]. 10733 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(220,a,9285,a,b,10723,a(flip)),flip(a)]. 10736 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),10732(a,1,2)),flip(a)]. 10737 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10736(a,1),10723(a,1,2)),flip(a)]. 10742 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(8751(a,1),10704(a,1))]. 10743 L(K(x,x \ y),z,y) != u | K(x,(y * z) / (y * ((x \ y) \ z))) = u. [para(10592(a,1),10742(a,1))]. 10750 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10294(a,1),10699(a,1,1))]. 10751 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10561(a,1),10750(a,1,1)),flip(a)]. 10752 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10751(a,1),5081(a,1,2,1))]. 10754 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(220,a,8404,a(flip),b,10353,a)]. 10755 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7368(a,1),10754(a,1,2,2))]. 10756 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(10577,a,10755,a)]. 10757 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10519(a,1),10756(a,1,1))]. 10758 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(220,a,10756,a(flip),b,10757,a(flip))]. 10760 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(795(a,1),10758(a,1,1)),flip(a)]. 10761 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(220,a,7474,a(flip),b,10760,a)]. 10762 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(220,a,580,a(flip),b,10761,a)]. 10764 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(220,a,7474,a(flip),b,10762,a(flip)),flip(a)]. 10765 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9388,a,10764,a)]. 10766 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1938(a,1),10378(a,1,2))]. 10767 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,10766,a),flip(a)]. 10769 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(220,a,8592,a,b,10767,a(flip)),flip(a)]. 10770 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6613(a,1),10767(a,1,2)),flip(a)]. 10771 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5249,a,10769,a)]. 10772 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(9512(a,1),10770(a,2,2))]. 10773 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(220,a,10767,a(flip),b,10772,a)]. 10775 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6764,a,10773,a)]. 10776 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(43(a,2),10775(a,1,3))]. 10777 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,2240,a(flip),b,10776,a(flip)),flip(a)]. 10778 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(220,a,10777,a(flip),b,10380,a(flip))]. 10788 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(220,a,5216,a(flip),b,10752,a(flip))]. 10789 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10788(a,1),10391(a,1,2)),flip(a)]. 10796 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(10196,a,9584,a)]. 10797 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(597,a,10381,a),flip(a)]. 10799 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(220,a,8755,a(flip),b,10797,a(flip)),flip(a)]. 10801 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7783(a,1),10797(a,1,1))]. 10803 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10797(a,1),7849(a,1,1)),flip(a)]. 10804 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10799(a,1),17(a,1,2))]. 10805 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10799(a,1),3659(a,1,1)),flip(a)]. 10806 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8947(a,2),10799(a,1,2))]. 10807 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10799(a,1),9203(a,1,2)),flip(a)]. 10808 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10804(a,1),209(a,1,2)),flip(b)]. 10809 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4290(a,1),10805(a,2,1))]. 10812 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5212,a,10807,a)]. 10813 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5868,a,10812,a)]. 10814 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10812(a,1),17(a,1,2))]. 10815 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(220,a,9594,a(flip),b,10803,a(flip))]. 10816 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10375,a,10815,a)]. 10817 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10808,a,10806,a)]. 10818 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4326,a(flip),b,10817,a(flip))]. 10819 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4291,a,10818,a)]. 10820 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8947(a,1),10809(a,1,1))]. 10821 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10819(a,1),10820(a,2,1))]. 10822 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(220,a,10805,a(flip),b,10821,a(flip)),flip(a)]. 10825 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7173(a,1),10708(a,1,3)),flip(a)]. 10826 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(220,a,10709,a(flip),b,10825,a(flip))]. 10828 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(220,a,10535,a(flip),b,10826,a(flip)),flip(a)]. 10829 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(10828(a,1),10355(a,1,2))]. 10830 (x * K(y,y \ z)) * z != (x * z) * u | L(K(y,y \ z),x,z) = u. [para(10829(a,1),22(a,1))]. 10831 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7362(a,1),10801(a,1,2)),flip(a)]. 10832 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(220,a,10797,a(flip),b,10831,a)]. 10835 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(288(a,1),10832(a,1,2,2))]. 10838 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(220,a,7809,a(flip),b,10162,a(flip))]. 10840 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(33(a,2),10838(a,1,1))]. 10841 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(220,a,7620,a,b,10840,a(flip)),flip(a)]. 10842 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(220,a,8629,a,b,10841,a(flip)),flip(a)]. 10843 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(220,a,9700,a(flip),b,10842,a(flip)),flip(a)]. 10846 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10843(a,2),8702(a,1))]. 10848 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6873(a,1),10846(a,1))]. 10861 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,10778,a(flip),b,10789,a)]. 10862 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(35(a,2),10789(a,2,2,2))]. 10868 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),10241(a,1,2,1))]. 10870 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),10868(a,1,2))]. 10871 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(10112,a,10870,a)]. 10872 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(220,a,7020,a(flip),b,10871,a)]. 10874 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),10872(a,2,2,2))]. 10877 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4572(a,1),10874(a,1,1,2))]. 10895 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7215,a,10877,a)]. 10897 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(220,a,9763,a(flip),b,10895,a(flip))]. 10926 L(K(x,T(x * y,y)),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [para(17(a,1),10640(a,1,1,2))]. 10928 L(K(x,x * y),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [para(7466(a,1),10926(a,1,1))]. 10929 K(x,y \ ((y * (x \ T(x * z,z))) * x)) = L(K(x,x * z),T(z,x),y). [hyper(220,a,8418,a(flip),b,10928,a(flip))]. 10930 K(x,y \ ((y * (x \ T(x * z,z))) * x)) = L(K(x,x * z),z,y). [hyper(220,a,10205,a(flip),b,10929,a)]. 10931 K(x,y \ (y * T(x * z,z))) = L(K(x,x * z),z,y). [hyper(10504,a,10930,a)]. 10932 L(K(x,x * y),y,z) = K(x,T(x * y,y)). [para(16(a,1),10931(a,1,2)),flip(a)]. 10933 L(K(x,x * y),y,z) = K(x,x * y). [hyper(220,a,7466,a(flip),b,10932,a)]. 10937 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10933(a,2),5161(a,1,2))]. 10943 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5909,a,10937,a)]. 10944 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(10195,a,10943,a)]. 10946 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(220,a,10166,a(flip),b,10943,a(flip)),flip(a)]. 10953 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10946(a,1),10319(a,1))]. 10970 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10796(a,1),10528(a,1))]. 10971 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(10970,a,10700,a)]. 10972 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10552,a(flip),b,10971,a(flip))]. 10974 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10765,a(flip),b,10972,a(flip)),flip(a)]. 10975 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,6440,a(flip),b,10974,a(flip)),flip(a)]. 10976 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7813,a,10975,a)]. 10977 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(220,a,9280,a(flip),b,10976,a)]. 10978 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(54(a,1),10977(a,2,1))]. 10979 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10978(a,1),4934(a,1,1,2))]. 10980 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(10978(a,1),10391(a,1,1))]. 10981 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5486(a,1),10979(a,1,1))]. 10982 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6442(a,1),10981(a,1,1,1,2))]. 10983 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(220,a,43,a,b,10982,a(flip))]. 10984 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5364(a,1),10983(a,2,1))]. 10985 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10984(a,1),393(a,1,2))]. 10986 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10984(a,1),7215(a,1,2))]. 10987 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10897(a,1),10986(a,1))]. 10989 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(368,a,10985,a),flip(a)]. 10990 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(10985(a,1),212(a,1))]. 10991 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(282,a,10989,a),flip(a)]. 10993 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(220,a,4934,a,b,10991,a),flip(a)]. 11005 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(9570(a,1),10004(a,1,1))]. 11006 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),11005(a,1,2,2)),flip(a)]. 11008 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4812(a,2),11006(a,2,2))]. 11009 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(220,a,4976,a(flip),b,11008,a)]. 11010 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,11009,a)]. 11011 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(11009(a,2),4565(a,1))]. 11012 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11010(a,1,1,3))]. 11040 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5242(a,1),10250(a,1,1,1))]. 11043 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7434(a,1),10862(a,2,2))]. 11044 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2435(a,1),11040(a,1,1,2)),flip(a)]. 11045 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6190(a,1),11044(a,2,1))]. 11046 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(220,a,8400,a,b,11045,a)]. 11047 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2434(a,1),11046(a,1,1,1))]. 11048 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5242(a,1),11047(a,1,1))]. 11049 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(220,a,7959,a,b,11048,a)]. 11050 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2122(a,1),11049(a,1,2))]. 11051 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(72,a,11050,a(flip),b,4815,a)]. 11064 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(6990(a,1),9856(a,1,2))]. 11065 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(220,a,5951,a(flip),b,11064,a(flip)),flip(a)]. 11066 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(220,a,9837,a(flip),b,11065,a)]. 11067 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(11065(a,2),9840(a,1))]. 11068 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(11066(a,1),66(a,1,1))]. 11071 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7959(a,1),11051(a,1,1))]. 11092 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(220,a,6362,a(flip),b,6747,a)]. 11093 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(220,a,10249,a(flip),b,11092,a)]. 11094 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10769(a,1),11093(a,2,2))]. 11095 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6397,a,11094,a)]. 11096 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6744(a,1),11095(a,1,2))]. 11097 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(220,a,6684,a(flip),b,11096,a(flip)),flip(a)]. 11098 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8581(a,1),11097(a,1,2))]. 11099 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(10991(a,1),11098(a,1,2))]. 11100 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10458,a,11099,a),flip(a)]. 11102 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11100(a,1),10771(a,1,2)),flip(a)]. 11103 K(x * L(y,z,u),y) = K(y * x,y). [hyper(220,a,10406,a(flip),b,11102,a)]. 11119 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(6789,a,10228,a)]. 11120 L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). [para(1918(a,1),11119(a,1,2)),flip(a)]. 11121 L(K(x,y),L(y,z,u),w) = K(x,y). [para(248(a,1),11120(a,1,1,2))]. 11122 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(220,a,10099,a(flip),b,11121,a(flip)),flip(a)]. 11123 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(220,a,9982,a(flip),b,11121,a(flip))]. 11124 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(220,a,11103,a(flip),b,11122,a(flip))]. 11128 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(11124(a,2),9453(a,1))]. 11132 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(11128,a,11123,a),flip(a)]. 11134 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(220,a,10944,a(flip),b,11132,a)]. 11135 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(103(a,1),11134(a,1,1,2))]. 11136 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7622,a,11135,a)]. 11143 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10953,a,11136,a(flip)),flip(a)]. 11144 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(220,a,10346,a(flip),b,11143,a(flip)),flip(a)]. 11145 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(31(a,2),11144(a,2,1))]. 11146 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10987,a,11145,a),flip(a)]. 11147 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10575,a,11146,a)]. 11150 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(220,a,5142,a,b,11147,a),flip(a)]. 11158 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11147(a,1),10598(a,1,2))]. 11162 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11150(a,1),5155(a,1))]. 11164 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6174,a,11158,a)]. 11171 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(20,a,10597,a,b,11164,a),flip(a)]. 11178 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11171(a,1),11162(a,1))]. 11244 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(167(a,1),10109(a,1,1)),flip(a)]. 11250 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4421(a,1),10669(a,1,2))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4739(a,1),11250(a,1,2))]. 11252 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(220,a,9897,a(flip),b,11251,a(flip))]. 11254 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(150(a,1),11252(a,1,2,2,1))]. 11255 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11254(a,1),4378(a,1,2))]. 11256 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(11067,a,11255,a)]. 11257 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11255(a,1),9059(a,2,1))]. 11272 (x * (K(y \ 1,y) * z)) \ (K(y \ 1,y) * (x * (z * u))) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [hyper(220,a,3563,a(flip),b,4679,a(flip)),flip(a)]. 11283 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),7125(a,1,1,2))]. 11298 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(220,a,10813,a(flip),b,9350,a(flip)),flip(a)]. 11299 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(9909,a,11298,a)]. 11302 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9348(a,1),11299(a,2,2,2))]. 11303 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),11302(a,2,2,2,1))]. 11304 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),11303(a,2,2))]. 11306 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(220,a,10799,a(flip),b,11304,a)]. 11307 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(220,a,9910,a(flip),b,11306,a(flip))]. 11308 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11306(a,1),4291(a,1))]. 11310 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9364(a,1),9365(a,2,2,1,1))]. 11311 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(66(a,1),11310(a,2,2,1))]. 11313 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(220,a,3511,a(flip),b,11311,a)]. 11314 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(66(a,1),11313(a,1,1,2,1))]. 11315 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3511(a,1),11314(a,1,1))]. 11316 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6498,a,11315,a)]. 11317 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11316(a,1),4327(a,1,1,1))]. 11318 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,657,a(flip),b,11317,a(flip)),flip(a)]. 11319 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(114(a,1),11318(a,1,1,2))]. 11320 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(27(a,2),11319(a,1,1)),flip(a)]. 11321 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,10688,a(flip),b,11320,a),flip(a)]. 11322 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(27(a,2),11321(a,2,1,1)),flip(a)]. 11323 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5242(a,1),9715(a,1,1,2))]. 11324 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(425(a,1),10454(a,1,2)),flip(a)]. 11325 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(10465,a,11324,a),flip(a)]. 11327 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) = L(u,L(z,K(x \ 1,x),y),y * K(x \ 1,x)). [hyper(4505,a,11272,a)]. 11328 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),11283(a,1,1,2,1))]. 11329 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(6521(a,1),11323(a,1,1))]. 11336 L(x,L(y,K(z \ 1,z),u),u * K(z \ 1,z)) = L(x,K(z \ 1,z) * y,u). [hyper(4693,a,11327,a),flip(a)]. 11337 L(x,K(y \ 1,y) * z,u) = L(x,z,u * K(y \ 1,y)). [para(4678(a,1),11336(a,1,2)),flip(a)]. 11338 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [hyper(220,a,3871,a(flip),b,11337,a)]. 11341 L(x,1 / y,z) = L(x,y \ 1,z). [para(1738(a,1),11338(a,1,2)),flip(a)]. 11348 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(11341(a,1),103(a,1,2))]. 11352 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(66(a,1),11348(a,1,2,2))]. 11354 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(11352(a,1),22(a,1)),flip(a)]. 11368 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11328(a,1,1))]. 11369 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11368(a,1,1,2))]. 11370 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(7103(a,1),11369(a,1,1,2,2))]. 11371 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(6541,a,11370,a),flip(a)]. 11372 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(220,a,7285,a(flip),b,11371,a)]. 11373 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(220,a,7134,a(flip),b,11372,a(flip))]. 11374 K(L(x \ y,z,u) \ (w \ 1),w) = L(K(y \ (w \ x),w),z,u). [hyper(220,a,7687,a(flip),b,11373,a(flip))]. 11375 L(K(1 \ (x \ y),x),T(y,z),u) = K(L(y \ 1,y,u) \ (x \ 1),x). [para(9290(a,1),11374(a,1,1,1)),flip(a)]. 11376 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(1 \ (x \ y),x),y,u). [hyper(220,a,11374,a(flip),b,11375,a)]. 11377 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11376(a,2,1,1))]. 11378 L(K(x \ y,x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11377(a,1,1,1))]. 11379 (x * y) * L(K(z \ x,z),x,y) = y * (T(x,y) * K(z \ x,z)). [para(11378(a,1),395(a,1,2))]. 11380 (x * y) * L(K(z \ x,z),x,y) = y * (K(x,y) * ((z \ x) * z)). [para(5090(a,2),11379(a,2,2))]. 11402 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11012(a,1,2,1))]. 11419 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(11011,a,11402,a),flip(a)]. 11420 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(6935,a,11419,a),flip(a)]. 11421 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(220,a,4724,a,b,11420,a(flip)),flip(a)]. 11422 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(7675(a,1),11421(a,1,1))]. 11423 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(220,a,599,a(flip),b,11422,a(flip)),flip(a)]. 11424 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(11423(a,1),17(a,1,2))]. 11425 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(213,a,11424,a),flip(a)]. 11426 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,10723,a,b,11425,a)]. 11428 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(220,a,10737,a(flip),b,11426,a(flip)),flip(a)]. 11429 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),11426(a,1,2)),flip(a)]. 11430 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,5238,a(flip),b,11428,a)]. 11431 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,10733,a,b,11429,a),flip(a)]. 11434 (x * y) * K(z \ x,z) = x * (y * K(z \ x,z)). [para(11431(a,1),103(a,1,2))]. 11436 L(x,y,K(z,z \ y)) = x. [hyper(5096,a,11430,a)]. 11437 L(x,y * z,K(z,y)) = x. [para(4987(a,1),11436(a,1,3))]. 11438 L(x,T(y,z),z) = L(x,y,z). [hyper(6737,a,11437,a)]. 11446 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11438(a,1),395(a,1,2))]. 11459 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11446,a)]. 11461 (x * y) * L(K(z \ x,z),x,u) = x * (y * K(z \ x,z)). [para(10522(a,2),11434(a,1,2))]. 11481 x * (K(y,x) * ((z \ y) * z)) = y * (x * K(z \ y,z)). [hyper(220,a,11380,a(flip),b,11461,a(flip)),flip(a)]. 11482 K(x,y) * (y * ((z \ x) * z)) = x * (y * K(z \ x,z)). [hyper(5456,a,11481,a)]. 11484 (x * K(y \ z,y)) * z = x * ((y \ z) * y). [hyper(8720,a,11482,a)]. 11485 R(x,K(y \ z,y),z) = x. [hyper(5199,a,11484,a)]. 11487 R(x,K(y,z),z * y) = x. [para(16(a,1),11485(a,1,2,1))]. 11488 R(x,K(y,y \ z),z) = x. [para(5148(a,1),11485(a,1,2))]. 11489 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(220,a,6207,a(flip),b,11487,a(flip)),flip(a)]. 11490 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(11488(a,1),5095(a,1,1)),flip(a)]. 11493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(220,a,218,a(flip),b,11489,a(flip))]. 11496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(11493(a,1),7549(a,1,2))]. 11498 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [hyper(220,a,10516,a,b,11490,a)]. 11501 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(10830,a,11498,a)]. 11502 K(x,(y * z) / (y * ((x \ y) \ z))) = K(x,x \ y). [hyper(10743,a,11501,a)]. 11507 K(x,((y * x) * z) / ((y * x) * (T(y,x) \ z))) = K(x,x \ (y * x)). [para(35(a,2),11502(a,1,2,2,2,1))]. 11512 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,x \ (y * x)). [hyper(220,a,9232,a(flip),b,11507,a(flip)),flip(a)]. 11513 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,y). [hyper(220,a,4987,a(flip),b,11512,a)]. 11514 L(K(x,y),z,y * x) = K(x,y). [hyper(10711,a,11513,a)]. 11517 K(x,R(y,x,z)) = K(x,y). [hyper(220,a,10714,a(flip),b,11514,a(flip)),flip(a)]. 11518 K(R(x,y,z),y) = K(x,y). [hyper(10848,a,11517,a)]. 11520 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(220,a,7686,a,b,11517,a(flip)),flip(a)]. 11521 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(220,a,9264,a(flip),b,11517,a(flip)),flip(a)]. 11525 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(220,a,11518,a,b,11518,a)]. 11535 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11525(a,1),8630(a,1,2)),flip(a)]. 11537 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(11496,a,11521,a)]. 11542 T(x,R(y,x,z)) = T(x,y). [hyper(220,a,9005,a(flip),b,11535,a)]. 11543 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(446(a,1),11542(a,1,2))]. 11544 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11537(a,1),9919(a,1,2))]. 11554 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4804,a,11544,a),flip(a)]. 11576 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(220,a,45,a,b,11543,a(flip)),flip(a)]. 11577 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(220,a,4088,a(flip),b,11576,a)]. 11578 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(220,a,45,a,b,11577,a)]. 11579 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11554(a,1),11578(a,1,1))]. 11580 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),11579(a,1,1,2,2)),flip(a)]. 11581 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(5667,a,11580,a),flip(a)]. 11582 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11580(a,1),5217(a,1,2,1))]. 11583 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(220,a,889,a(flip),b,11581,a(flip)),flip(a)]. 11584 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(16(a,1),11581(a,1,1,2)),flip(a)]. 11588 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5490(a,1),11583(a,2,1))]. 11591 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1329(a,1),11584(a,1,1)),flip(a)]. 11593 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(220,a,167,a(flip),b,11591,a)]. 11594 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(45(a,2),11593(a,2,1))]. 11595 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(220,a,613,a(flip),b,11594,a)]. 11596 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11595(a,1),4837(a,1,1))]. 11597 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,11596,a),flip(a)]. 11598 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7813,a,11597,a)]. 11599 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(220,a,8950,a,b,11598,a)]. 11600 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11599(a,1),10993(a,1,1,2))]. 11603 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5957,a,11582,a),flip(a)]. 11605 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11603(a,1),4938(a,1,1,2))]. 11606 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5480(a,1),11600(a,1,1))]. 11607 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6442(a,1),11606(a,1,1,1,2))]. 11608 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(220,a,45,a,b,11607,a(flip)),flip(a)]. 11609 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5364(a,1),11608(a,1,1)),flip(a)]. 11610 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(220,a,10991,a(flip),b,11609,a(flip)),flip(a)]. 11611 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11609(a,1),11098(a,1,2))]. 11612 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11610(a,1),425(a,1,1)),flip(a)]. 11613 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(220,a,114,a(flip),b,11612,a)]. 11614 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9479(a,1),11613(a,1,1,1)),flip(a)]. 11615 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11613(a,1),11325(a,1,2))]. 11616 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(220,a,7078,a(flip),b,11588,a)]. 11617 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7076(a,1),11616(a,1,1)),flip(a)]. 11618 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11617(a,1),10459(a,1,2))]. 11619 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5480(a,1),11605(a,1,1))]. 11620 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(220,a,45,a,b,11619,a(flip)),flip(a)]. 11621 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4938(a,1),11620(a,1,1)),flip(a)]. 11622 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(220,a,47,a(flip),b,11621,a)]. 11623 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11622(a,1),1076(a,1,1,1)),flip(a)]. 11624 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4589(a,1),11618(a,1,2,1)),flip(a)]. 11625 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(220,a,1076,a(flip),b,11623,a)]. 11626 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(45(a,2),11625(a,2,3))]. 11628 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(11068(a,1),4651(a,1,2,1))]. 11629 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(220,a,9837,a(flip),b,11628,a)]. 11630 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11256(a,1),11629(a,1,1))]. 11631 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(220,a,11257,a,b,11630,a(flip)),flip(a)]. 11632 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6267(a,1),11631(a,1,1))]. 11633 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(220,a,5568,a(flip),b,11632,a(flip))]. 11634 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(220,a,9848,a(flip),b,11633,a(flip)),flip(a)]. 11635 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11634(a,1),66(a,1,1))]. 11636 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11635(a,1),2291(a,1,1))]. 11637 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(118(a,1),11636(a,1,1,1)),flip(a)]. 11640 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10272(a,1),11637(a,1,1,1)),flip(a)]. 11716 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1764(a,1),9800(a,1,1))]. 11717 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(220,a,7095,a(flip),b,11716,a)]. 11719 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11717(a,1),17(a,1,2))]. 11720 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11719(a,1),11329(a,1,1))]. 11721 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(9714(a,1),11720(a,1,2))]. 11722 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1026,a,11721,a)]. 11723 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(220,a,5242,a(flip),b,11722,a)]. 11724 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(220,a,9160,a,b,11723,a(flip)),flip(a)]. 11725 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2931,a,11724,a),flip(a)]. 11726 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(220,a,8064,a(flip),b,11725,a(flip))]. 11728 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10035,a,11726,a),flip(a)]. 11730 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11728(a,1),9555(a,1,1))]. 11731 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5122,a,11730,a)]. 11732 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9479(a,1),11730(a,1,2,2))]. 11733 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11731(a,1),10808(a,1))]. 11734 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10807(a,1),11732(a,1,2))]. 11735 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5265,a,11734,a)]. 11736 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11733,a,11735,a)]. 11738 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11736(a,1),10822(a,1,1)),flip(a)]. 11739 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11738(a,1),11322(a,1,1))]. 11741 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(220,a,11322,a(flip),b,11739,a(flip))]. 11742 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(220,a,7729,a,b,11741,a),flip(a)]. 11743 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6657(a,1),11742(a,1,1,2))]. 11744 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(530(a,1),11743(a,1,1))]. 11745 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(173(a,1),11744(a,1,2)),flip(a)]. 11746 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(220,a,1076,a(flip),b,11745,a)]. 11747 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(45(a,2),11746(a,2,3))]. 11748 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11741,a(flip),b,11747,a(flip)),flip(a)]. 11749 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11736,a(flip),b,11748,a(flip)),flip(a)]. 11751 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(220,a,11307,a(flip),b,11749,a(flip))]. 11753 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(220,a,11626,a,b,11751,a(flip)),flip(a)]. 11754 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10433,a,11753,a)]. 11756 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11754(a,1),11624(a,1,2)),flip(a)]. 11757 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),11756(a,2,2,2))]. 11758 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10835(a,1),11757(a,2,2))]. 11759 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(220,a,11611,a(flip),b,11758,a(flip)),flip(a)]. 11760 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(378(a,1),11759(a,1,2,3))]. 11761 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(282,a,11760,a),flip(a)]. 11765 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(220,a,10460,a(flip),b,9898,a(flip)),flip(a)]. 11766 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(9375,a,11765,a(flip)),flip(a)]. 11767 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(10388(a,1),11766(a,1,2))]. 11768 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(19(a,1),11767(a,1,1,2))]. 11952 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),9182(a,1,2,1))]. 11953 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),11952(a,1,2,2,1,1))]. 11954 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(742(a,1),11953(a,1,2))]. 11955 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9216(a,1),11954(a,1,2))]. 11956 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(220,a,5043,a(flip),b,11955,a(flip))]. 11958 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3041(a,1),11956(a,2,1))]. 11959 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6047(a,1),11958(a,1,1))]. 11961 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),11959(a,1,2))]. 11963 L(x,K(y,z),K(u,y)) = x. [hyper(388,a,11961,a)]. 11965 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(72,a,11961,a(flip),b,4815,a)]. 11966 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2122(a,2),11961(a,1,1))]. 11967 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(10392(a,1),11961(a,1,1)),flip(a)]. 11970 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(11963(a,1),11244(a,2,1))]. 11971 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(5249,a,11967,a)]. 11975 a(x,y,x) * z = z * a(x,y,x). [hyper(20,a,10477,a,b,11971,a)]. 11982 T(x,a(y,z,y)) = x. [hyper(162,a,11975,a)]. 11983 T(a(x,y,x),z) = a(x,y,x). [hyper(160,a,11975,a,b,xx)]. 11992 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(11975(a,1),537(a,1,2,1))]. 11997 K(x,a(y,z,y)) = 1. [hyper(39,a,11982,a)]. 12001 K(x,L(a(y,z,y),u,w)) = 1. [hyper(11178,a,11997,a)]. 12005 L(a(x,y,x),z,u) * w = w * L(a(x,y,x),z,u). [para(11983(a,1),172(a,1,2,1)),flip(a)]. 12006 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(11983(a,1),173(a,1,2,1)),flip(a)]. 12007 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * (1 * x)) * y. [para(12001(a,1),5432(a,1,1,2,1)),flip(a)]. 12029 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(220,a,9624,a,b,11966,a)]. 12030 T(x,R(a(y,z,y),u,w)) = x. [hyper(162,a,12006,a)]. 12032 L(x,K(y,z),K(z,u)) = x. [hyper(388,a,12029,a)]. 12033 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(160,a,12029,a,b,17,a),flip(a)]. 12037 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(12029(a,1),11640(a,1,1,1))]. 12039 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(220,a,5838,a(flip),b,12032,a(flip)),flip(a)]. 12040 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7352(a,1),12032(a,1,2))]. 12042 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12040(a,1),103(a,1,2))]. 12090 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(220,a,9624,a(flip),b,12039,a)]. 12108 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(220,a,10660,a(flip),b,12033,a(flip)),flip(a)]. 12109 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5238(a,1),12033(a,1,2,2)),flip(a)]. 12115 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(220,a,10816,a(flip),b,12108,a(flip))]. 12124 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(11983(a,1),11992(a,2,1))]. 12126 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10449(a,1),12124(a,1,2,1))]. 12140 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(220,a,11615,a(flip),b,12126,a(flip))]. 12141 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(220,a,11761,a(flip),b,12140,a)]. 12142 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),12141(a,1,2)),flip(a)]. 12143 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12142(a,1),10804(a,1,2)),flip(a)]. 12144 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12142(a,1),10814(a,1,2)),flip(a)]. 12145 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(220,a,9479,a(flip),b,12143,a(flip))]. 12149 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(12039(a,1),12037(a,2,1))]. 12151 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(15(a,1),12149(a,2,1,2))]. 12152 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(9624(a,1),12151(a,1,1,1))]. 12153 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(220,a,7959,a,b,11970,a)]. 12157 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(220,a,10367,a(flip),b,12153,a(flip))]. 12160 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12157(a,2,2))]. 12161 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12157(a,1),8843(a,1,1))]. 12164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5356,a,12160,a)]. 12168 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(220,a,12160,a(flip),b,12164,a(flip))]. 12169 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(220,a,4824,a(flip),b,12168,a)]. 12170 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12168(a,1),4866(a,1))]. 12171 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12168(a,1),7329(a,1,2))]. 12176 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4909,a,12161,a),flip(a)]. 12187 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * x) * y. [para(14(a,1),12007(a,2,1,2))]. 12188 (x * y) * L(R(a(z,u,z),x,y),w,v5) = (L(a(z,u,z),w,v5) * x) * y. [para(47(a,1),12187(a,1,2))]. 12189 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10268,a,11965,a)]. 12197 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10481(a,1),12145(a,1,2,1)),flip(a)]. 12198 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(220,a,12144,a,b,12197,a)]. 12200 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12198(a,1),11614(a,2,1,1))]. 12201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(220,a,11048,a(flip),b,12189,a(flip)),flip(a)]. 12202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7963(a,1),12201(a,1,1)),flip(a)]. 12203 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(220,a,12160,a(flip),b,12202,a)]. 12204 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12170,a,12203,a(flip)),flip(a)]. 12205 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12203(a,1,2,1))]. 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(220,a,12176,a,b,12204,a(flip)),flip(a)]. 12207 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2122(a,2),12204(a,1,1))]. 12208 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2122(a,1),12207(a,2,2))]. 12209 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4801,a(flip),b,12205,a)]. 12210 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12205(a,1),12169(a,1,1))]. 12212 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(220,a,12208,a(flip),b,12209,a(flip))]. 12213 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12209(a,1),4801(a,2,2)),flip(a)]. 12216 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(220,a,9636,a,b,12206,a(flip)),flip(a)]. 12217 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12206(a,2),4968(a,2,2)),flip(a)]. 12218 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8171(a,1),12206(a,1,1))]. 12222 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4817,a,12213,a)]. 12223 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11048(a,1),12222(a,1,1))]. 12224 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7873(a,1),12216(a,1,2,2,2))]. 12225 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8171(a,1),12218(a,1,2)),flip(a)]. 12226 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(220,a,12206,a(flip),b,12225,a)]. 12229 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7232(a,1),12226(a,1,1)),flip(a)]. 12230 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(220,a,12212,a(flip),b,12229,a(flip)),flip(a)]. 12232 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12230(a,1),11071(a,2,2))]. 12236 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5391,a,12224,a)]. 12284 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(220,a,11961,a(flip),b,12232,a)]. 12345 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4987(a,1),10980(a,1,2)),flip(a)]. 12374 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12090(a,1),12217(a,2,1,1))]. 12378 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(220,a,12152,a(flip),b,12374,a)]. 12379 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12378(a,1,2,1,1))]. 12380 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12379(a,1,2,1))]. 12381 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7893(a,1),12380(a,1,2,1))]. 12383 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12381(a,1,2,2,1))]. 12384 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12383(a,1,2,2))]. 12386 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12236(a,1),12384(a,1,2))]. 12387 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(220,a,12090,a(flip),b,12386,a(flip)),flip(a)]. 12388 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(220,a,12284,a,b,12387,a(flip)),flip(a)]. 12389 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12223,a(flip),b,12388,a(flip)),flip(a)]. 12513 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12090(a,1),12171(a,1,2,1,1))]. 12514 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11048(a,1),12513(a,1,2,1))]. 12515 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7963(a,1),12514(a,1,2,1,1))]. 12516 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12164(a,1),12515(a,1,2,1))]. 12517 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12210(a,1),12516(a,1,2)),flip(a)]. 12518 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12222,a(flip),b,12517,a)]. 12519 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12090(a,1),12518(a,1,2))]. 12520 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12389,a(flip),b,12519,a(flip)),flip(a)]. 12521 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(220,a,12109,a(flip),b,12520,a(flip)),flip(a)]. 12522 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(220,a,10282,a(flip),b,12521,a(flip)),flip(a)]. 12523 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12522(a,1),12042(a,1,1)),flip(a)]. 12524 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(220,a,9861,a(flip),b,12523,a(flip))]. 12525 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12115(a,1),12524(a,1,1)),flip(a)]. 12527 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12525(a,1),12200(a,2,1))]. 12528 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12142(a,1),12527(a,2,1,1))]. 12530 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7071(a,1),12528(a,1,1,1))]. 12532 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10668(a,1),12530(a,1,1))]. 12533 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10442(a,1),12532(a,1,1)),flip(a)]. 12534 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12533,a(flip),b,598,a)]. 12536 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(220,a,11520,a(flip),b,12534,a(flip))]. 12537 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(11983(a,1),12536(a,2,2))]. 12538 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(220,a,11997,a(flip),b,12537,a)]. 12541 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,12538,a)]. 12542 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12541(a,1),11459(a,1,2))]. 12543 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12030(a,1),12542(a,1,1,2,1))]. 12544 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(430,a,12543,a),flip(a)]. 12545 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,11975,a(flip),b,12544,a)]. 12548 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(220,a,12141,a(flip),b,12545,a(flip)),flip(a)]. 12564 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(220,a,11100,a,b,12548,a)]. 12567 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11308,a,12564,a),flip(a)]. 12585 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(35(a,1),12567(a,1,2))]. 12590 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,10861,a,b,12585,a(flip)),flip(a)]. 12618 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(220,a,11043,a(flip),b,12590,a(flip))]. 12619 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,12345,a,b,12618,a),flip(a)]. 12721 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(35(a,2),12619(a,1,2))]. 12722 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10434,a,12721,a)]. 12723 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12722(a,1),11768(a,1,2))]. 12724 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12564(a,1),12723(a,1,2))]. 12726 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(10990,a,12724,a(flip)),flip(a)]. 12727 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(10448(a,1),12726(a,2,2))]. 12730 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(378(a,1),12727(a,1,2,3))]. 12731 L(a(x,y,x),z,u) = a(x,y,x). [hyper(11354,a,12730,a)]. 12738 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(220,a,12545,a,b,12731,a),flip(a)]. 12767 (x * y) * L(L(a(z,u,z),w,v5),v6,v7) = (L(a(z,u,z),v6,v7) * x) * y. [para(12738(a,1),12188(a,1,2,1))]. 12852 (L(a(x,y,x),z,u) * w) * v5 = w * (v5 * L(a(x,y,x),z,u)). [hyper(675,a,12767,a),flip(a)]. 12854 (x * L(a(y,z,y),u,w)) * v5 = x * (v5 * L(a(y,z,y),u,w)). [para(12005(a,1),12852(a,1,1))]. 12855 (x * L(a(y,z,y),u,w)) * v5 = x * (L(a(y,z,y),u,w) * v5). [para(12005(a,2),12854(a,2,2))]. 12856 L(x,L(a(y,z,y),u,w),v5) = x. [hyper(388,a,12855,a)]. 12857 L(x,a(y,z,y),u) = x. [hyper(9146,a,12856,a)]. 12858 a(x,a(y,z,y),u) = 1. [hyper(37,a,12857,a)]. 12859 $F # answer("aa2{x2/x4}"). [resolve(12858,a,52,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 4 at 4559.70 (+ 125.31) seconds: "aa2{x1/x5}". % Length of proof is 12315. % Level of proof is 776. % Maximum clause weight is 513.000 (63 w/o degradation). % Given clauses 13724 (17.686 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 11 a(x,a(y,z,u),x) = 1 # label("aa2{x1/x5}") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 51 a(c5,a(c6,c7,c8),c5) != 1 # label("aa2{x1/x5}") # answer("aa2{x1/x5}"). [deny(11)]. 54 1 \ x = x. [para(14(a,1),16(a,1,2))]. 55 x \ x = 1. [para(15(a,1),16(a,1,2))]. 56 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 57 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 58 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 59 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 60 x / x = 1. [para(14(a,1),18(a,1,1))]. 61 x / 1 = x. [para(15(a,1),18(a,1,1))]. 62 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 63 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 64 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 65 x * ((1 / y) * y) = x. [para(19(a,2),15(a,1,2))]. 66 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 67 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 68 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 71 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 72 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 73 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 74 1 * x != y | x = y. [para(14(a,1),22(a,2))]. 75 x * y != x | 1 = y. [para(15(a,1),22(a,1)),flip(a)]. 76 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 78 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 79 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 80 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 81 ((x * y) / z) * z != x * u | u = y. [para(19(a,2),22(a,2)),flip(a)]. 82 1 * (x * y) != z * y | z = x. [para(14(a,2),23(a,2)),flip(a)]. 83 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 84 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 85 x \ (x * (y * z)) != u * z | u = y. [para(16(a,2),23(a,2)),flip(a)]. 86 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 87 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 88 ((x * y) / z) * z != u * y | u = x. [para(19(a,2),23(a,2)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * y) \ ((x * 1) * y) = a(x,1,y). [para(14(a,1),27(a,2,1,2)),flip(a)]. 93 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(15(a,1),27(a,2,1,2)),flip(a)]. 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 96 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 97 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(19(a,1),27(a,2,2,1)),flip(a)]. 98 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 99 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 100 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 101 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 102 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(19(a,1),31(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 108 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(19(a,1),31(a,2,2))]. 109 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 110 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 111 (x * y) / (y * 1) = R(x,y,1). [para(15(a,1),33(a,2,1)),flip(a)]. 112 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 113 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 114 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 115 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 116 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(19(a,1),33(a,2,2)),flip(a)]. 117 T(x,x) = x. [para(35(a,2),16(a,1))]. 118 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 119 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 120 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 121 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(41(a,1),41(a,1,1)),flip(a)]. 122 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 123 1 \ (x * (x \ y)) = y. [para(54(a,2),17(a,1))]. 124 (x * (x \ 1)) \ y = y. [para(17(a,2),54(a,1,1))]. 125 ((1 / x) * x) \ y = y. [para(19(a,2),54(a,1,1))]. 126 T(x,1) = x * 1. [para(54(a,1),35(a,2))]. 127 K(x,x) = 1. [para(55(a,1),29(a,2))]. 128 x / (y * (y \ 1)) = x. [para(17(a,2),61(a,1,2))]. 129 x / ((1 / y) * y) = x. [para(19(a,2),61(a,1,2))]. 130 T(T(x,y),x) = T(x,y). [para(117(a,1),41(a,1,1)),flip(a)]. 131 T(L(x,y,z),x) = L(x,y,z). [para(117(a,1),43(a,1,1)),flip(a)]. 132 (x / (y \ x)) * z = y * z. [hyper(25,a,63,a)]. 133 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(27(a,2),63(a,1,2))]. 134 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),63(a,1,2))]. 135 (x * y) / T(x,y) = y. [para(35(a,2),63(a,1,2))]. 136 x / (y / ((z \ x) \ y)) = z. [para(63(a,2),63(a,1,2))]. 137 ((x / y) \ x) * z = y * z. [hyper(25,a,66,a)]. 138 x * ((y / (x \ z)) \ y) = z. [para(66(a,2),17(a,1,2))]. 139 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),66(a,1,1))]. 140 ((x / (y / z)) \ x) \ y = z. [para(66(a,2),66(a,1,1))]. 141 T(x,1) = x. [hyper(21,a,15,a,b,126,a(flip)),flip(a)]. 142 K(x,1) = 1. [hyper(39,a,141,a)]. 143 T(1,x) = 1. [hyper(38,a,141,a)]. 144 T(x,y \ y) = x. [para(55(a,2),141(a,1,2))]. 145 K(1,x) = 1. [hyper(39,a,143,a)]. 146 T(x,1) != y | y = x. [para(126(a,2),83(a,1))]. 147 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),84(a,1,2))]. 148 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(57(a,1),33(a,2,1))]. 149 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(58(a,1),27(a,2,1)),flip(a)]. 150 L(x \ 1,x,y) = (y * x) \ y. [para(58(a,1),31(a,2,2))]. 151 R(1 / x,x,y) = y / (x * y). [para(64(a,1),33(a,2,1))]. 152 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(65(a,1),27(a,2,1)),flip(a)]. 153 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(65(a,1),31(a,2,2))]. 154 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,118,a)]. 155 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,118,a(flip)),flip(a)]. 156 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,118,a(flip)),flip(a)]. 157 (x \ y) * T(x,x \ y) = y. [para(118(a,2),17(a,1))]. 158 x * (y * (y \ T(z,x))) = z * x. [para(17(a,2),118(a,1,2))]. 159 x * T(y / x,x) = y. [para(118(a,2),19(a,1))]. 160 x * y != z | y * u != z | T(x,y) = u. [para(118(a,1),20(a,1)),flip(c)]. 161 x * y != z * x | T(z,x) = y. [para(118(a,1),22(a,1)),flip(a)]. 162 x * T(y,x) != z * x | z = y. [para(118(a,2),23(a,2)),flip(a)]. 163 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(118(a,1),27(a,2,1,2)),flip(a)]. 164 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(118(a,1),27(a,2,2,1)),flip(a)]. 165 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(118(a,1),29(a,2,1)),flip(a)]. 166 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(118(a,1),31(a,2,1)),flip(a)]. 167 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(118(a,1),31(a,2,2,2)),flip(a)]. 168 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(118(a,1),33(a,2,1,1)),flip(a)]. 169 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(118(a,1),33(a,2,1)),flip(a)]. 170 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(118(a,1),33(a,2,2)),flip(a)]. 171 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),118(a,1,2))]. 172 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),118(a,1,2))]. 173 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),118(a,1,2))]. 174 x / 1 = 1 \ x. [hyper(146,a,120,a),flip(a)]. 175 T(T(x / y,z),y) = T(y \ x,z). [para(120(a,1),41(a,1,1)),flip(a)]. 176 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(120(a,1),43(a,1,1)),flip(a)]. 177 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(120(a,1),45(a,1,1)),flip(a)]. 178 T(x / (x / y),x / y) = y. [para(120(a,2),66(a,1))]. 179 K(x \ 1,x) = (x \ 1) * x. [para(124(a,1),29(a,2))]. 180 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(124(a,1),31(a,2)),flip(a)]. 181 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(125(a,1),27(a,2)),flip(a)]. 182 K(x,1 / x) = x * (1 / x). [para(125(a,1),29(a,2))]. 183 (1 / x) * (x * y) = L(y,x,1 / x). [para(125(a,1),31(a,2)),flip(a)]. 184 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(128(a,1),33(a,2)),flip(a)]. 185 (x * (1 / y)) * y = R(x,1 / y,y). [para(129(a,1),33(a,2)),flip(a)]. 186 T(x,T(x,y)) = x. [hyper(38,a,130,a)]. 187 T(T(T(x,y),z),x) = T(T(x,y),z). [para(130(a,1),41(a,1,1)),flip(a)]. 188 T(x,y) * x = x * T(x,y). [para(130(a,1),118(a,1,2)),flip(a)]. 189 T(T(x,y),T(x,z)) = T(x,y). [para(186(a,1),41(a,1,1)),flip(a)]. 191 x / T(y,y \ x) = y \ x. [para(17(a,1),135(a,1,1))]. 192 (T(x,y) * z) / T(T(x,z),y) = z. [para(41(a,1),135(a,1,2))]. 193 (x * y) / T(y,T(x,y)) = T(x,y). [para(118(a,1),135(a,1,1))]. 194 T(T((x * y) / x,z),x) = T(y,z). [para(154(a,1),41(a,1,1)),flip(a)]. 195 T((x * y) / x,y) = (x * y) / x. [para(154(a,1),186(a,1,2))]. 196 x * y != z | T(z / x,x) = y. [para(159(a,1),22(a,1)),flip(a)]. 198 x != y | y / 1 = x. [para(15(a,1),87(a,1))]. 199 (x / y) \ x = y / 1. [hyper(198,a,66,a),flip(a)]. 200 x * (x \ y) = y / 1. [hyper(198,a,17,a),flip(a)]. 201 x / 1 = 1 * x. [hyper(198,a,14,a)]. 202 x / 1 != y | y = x. [para(201(a,2),73(a,1))]. 203 x / 1 != y | x = y. [para(201(a,2),74(a,1))]. 204 x / (y * (y \ 1)) != z | z = x. [para(17(a,2),202(a,1,2))]. 205 1 \ x != y | y = x. [para(174(a,1),202(a,1))]. 206 1 \ x != y | x = y. [para(174(a,1),203(a,1))]. 207 (x / y) \ x != z | z = y. [para(199(a,2),202(a,1))]. 208 x * (x \ y) != z | z = y. [para(200(a,2),202(a,1))]. 209 x \ (x * y) != z | z = y. [para(18(a,1),207(a,1,1))]. 210 x \ x != y | 1 = y. [para(61(a,1),207(a,1,1)),flip(b)]. 211 x \ (y * x) != z | T(y,x) = z. [para(135(a,1),207(a,1,1)),flip(b)]. 212 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),208(a,1,2)),flip(b)]. 213 x * T(y,x) != z | y * x = z. [para(35(a,2),208(a,1,2)),flip(b)]. 214 (x / y) * y != z | z = x. [para(66(a,1),208(a,1,2))]. 216 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),214(a,1,1)),flip(b)]. 217 L(x \ (y \ z),x,y) = (y * x) \ z. [para(59(a,1),31(a,2,2))]. 218 ((x / y) * y) / z = x / z. [para(19(a,1),68(a,1,1,1,1))]. 219 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),33(a,2,1))]. 220 x != y | z != y | z = x. [para(14(a,1),70(b,1))]. 221 (x * y) / y = z / (x \ z). [hyper(220,a,63,a,b,18,a)]. 223 (x * y) / y = (x / z) * z. [hyper(220,a,19,a,b,18,a)]. 224 x * (x \ y) = y * 1. [hyper(220,a,17,a,b,15,a),flip(a)]. 225 x \ (y * (y \ x)) = 1. [hyper(78,a,224,a(flip))]. 226 x * 1 != y * z | y \ x = z. [para(224(a,1),22(a,1))]. 229 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(220,a,17,a,b,89,a),flip(a)]. 230 (x / (y * (y \ z))) * z = x. [hyper(214,a,89,a)]. 231 x * y != z * y | (z / u) * u = x. [para(90(a,1),23(a,2)),flip(b)]. 232 (x * (x \ y)) * z != y * u | u = z. [para(91(a,1),22(a,1)),flip(a)]. 233 ((x \ y) * x) * K(x,x \ y) = y. [hyper(220,a,17,a(flip),b,98,a)]. 234 x * K(y \ x,y) = (y \ x) * y. [hyper(220,a,91,a(flip),b,98,a(flip)),flip(a)]. 235 x * K(y,x / y) = y * (x / y). [hyper(220,a,90,a(flip),b,98,a(flip)),flip(a)]. 236 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),22(a,1)),flip(a)]. 237 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),31(a,2,2,2)),flip(a)]. 238 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),33(a,2,1)),flip(a)]. 239 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),209(a,1,2)),flip(b)]. 240 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,119,a)]. 241 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,119,a)]. 242 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(220,a,17,a,b,119,a(flip))]. 243 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(119(a,1),41(a,1,1)),flip(a)]. 244 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(119(a,1),43(a,1,1)),flip(a)]. 246 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(119(a,2),119(a,1,2))]. 248 T(x,L(x,y,z)) = x. [hyper(38,a,131,a)]. 249 L(x,y,z) * x = x * L(x,y,z). [para(131(a,1),118(a,1,2)),flip(a)]. 250 ((x / y) \ x) * (y \ z) = z. [hyper(220,a,17,a(flip),b,137,a)]. 251 x * (((y / x) \ y) \ z) = z. [hyper(208,a,137,a)]. 252 (x / y) * ((z / y) \ z) = x. [para(66(a,1),138(a,1,2,1,2))]. 253 (x \ y) * z != y | T(x,x \ y) = z. [para(157(a,1),22(a,1)),flip(a)]. 254 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(157(a,1),31(a,2,2,2))]. 255 (x \ y) \ y != z | T(x,x \ y) = z. [para(157(a,1),209(a,1,2)),flip(b)]. 256 T(x / (x / y),(z / (x / y)) \ z) = y. [para(66(a,2),178(a,1,2))]. 257 x * T(x \ 1,x) = K(x \ 1,x). [hyper(220,a,118,a,b,179,a),flip(a)]. 258 K(x \ 1,x) / x = x \ 1. [hyper(87,a,179,a(flip))]. 259 (x \ 1) \ K(x \ 1,x) = x. [hyper(78,a,179,a(flip))]. 261 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(179(a,2),27(a,2,1,2)),flip(a)]. 263 x \ K(x,1 / x) = 1 / x. [hyper(78,a,182,a(flip))]. 264 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(182(a,2),31(a,2,1)),flip(a)]. 266 x / (y \ ((x / z) * z)) = y. [hyper(220,a,63,a(flip),b,218,a(flip))]. 267 (((x / y) * y) / z) \ x = z. [para(218(a,2),66(a,1,1))]. 269 (x / (y \ x)) * z != u | y * z = u. [para(221(a,1),214(a,1,1)),flip(b)]. 270 (x * y) / y != z * u | x / u = z. [para(223(a,2),23(a,1))]. 271 ((x / y) * y) * z != u | x * z = u. [para(223(a,1),214(a,1,1)),flip(b)]. 272 (x * y) / y != z | z = x. [para(223(a,2),214(a,1))]. 273 x / x != y | 1 = y. [para(14(a,1),272(a,1,1)),flip(b)]. 274 x / (y \ x) != z | z = y. [para(17(a,1),272(a,1,1))]. 275 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),230(a,1,1))]. 276 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(191(a,1),250(a,1,1,1))]. 277 x * ((y / z) \ y) != u | u / z = x. [para(252(a,1),23(a,1)),flip(a)]. 278 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(191(a,1),252(a,1,2,1))]. 279 (x \ 1) * x != y | K(x \ 1,x) = y. [para(258(a,1),214(a,1,1)),flip(b)]. 280 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(31(a,2),266(a,1,2))]. 281 ((x * (x \ y)) / z) \ y = z. [para(63(a,1),267(a,1,1,1,1))]. 282 x * y != x * z | z = y. [para(15(a,1),76(a,1))]. 283 1 * x != y * z | x / z = y. [para(19(a,1),82(a,1,2)),flip(b)]. 284 R(1,x,y) = 1. [hyper(273,a,109,a),flip(a)]. 287 (x * y) / y = R(x,1,y). [para(15(a,1),110(a,1,1,1))]. 288 R(x,1,y) = x. [hyper(272,a,287,a)]. 289 R(x,1,y) != z | z = x. [para(287(a,1),272(a,1))]. 291 (x * y) / y = R(x,y,1). [para(15(a,1),111(a,1,2))]. 292 R(x,y,1) = x. [hyper(272,a,291,a)]. 294 L(x \ 1,x,1 / x) = 1 / x. [hyper(220,a,125,a(flip),b,150,a)]. 295 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(25,a,150,a)]. 296 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(24,a,150,a)]. 297 (x * y) * L(y \ 1,y,x) = x. [para(150(a,2),17(a,1,2))]. 298 L((x \ y) \ 1,x \ y,x) = y \ x. [para(17(a,1),150(a,2,1))]. 299 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),150(a,2,1))]. 300 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(150(a,1),43(a,2,1)),flip(a)]. 301 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(150(a,1),48(a,1,1)),flip(a)]. 302 x / L(y \ 1,y,x) = x * y. [para(150(a,2),63(a,1,2))]. 303 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),151(a,2,2))]. 304 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),151(a,2,2))]. 305 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(151(a,1),45(a,2,1)),flip(a)]. 306 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(151(a,1),49(a,1,1)),flip(a)]. 307 R(1 / x,x,y) \ y = x * y. [para(151(a,2),66(a,1,1))]. 311 K(x,y) * z != x * y | T(y * x,K(x,y)) = z. [para(98(a,1),161(a,2))]. 312 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(41(a,1),162(a,1,2)),flip(b)]. 314 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),213(a,1,2))]. 315 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),213(a,1,2))]. 316 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),213(a,1,2))]. 317 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),226(a,1,2))]. 318 x * (x \ y) != z * u | z \ y = u. [para(224(a,2),226(a,1))]. 320 ((1 / x) * x) * y != z * u | y / u = z. [para(19(a,2),283(a,1,1))]. 321 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(297(a,1),31(a,2,2,2))]. 322 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(297(a,1),209(a,1,2)),flip(b)]. 323 x / L(y,1 / y,x) = x * (1 / y). [para(66(a,1),302(a,1,2,1))]. 325 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(302(a,1),251(a,1,2,1,1))]. 326 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(63(a,1),307(a,1,1,1))]. 327 x / (y * x) != z | R(1 / y,y,x) = z. [para(307(a,1),274(a,1,2)),flip(b)]. 328 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,119,a,b,17,a)]. 329 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(71,a,33,a,b,128,a(flip))]. 330 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,31,a,b,125,a(flip))]. 331 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,31,a,b,124,a(flip))]. 332 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(71,a,119,a(flip),b,19,a)]. 333 (x * (x \ y)) \ z = y \ z. [hyper(71,a,17,a(flip),b,91,a)]. 334 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,33,a,b,128,a(flip))]. 335 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(16(a,1),99(a,2,1)),flip(a)]. 337 x * K(y \ x,y) != z | (y \ x) * y = z. [para(99(a,1),208(a,1,2)),flip(b)]. 338 T((x \ y) * x,K(x,x \ y)) = (((x \ y) * x) \ y) \ y. [para(100(a,1),119(a,1,2))]. 339 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(179(a,2),100(a,1,1))]. 340 K(x,1 / x) != y | x * (1 / x) = y. [para(101(a,1),205(a,1)),flip(b)]. 341 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(158(a,1),31(a,2,2))]. 342 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),171(a,1,2,1))]. 343 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(41(a,1),171(a,1,2,1))]. 344 T(x / y,z) * y = y * T(y \ x,z). [para(120(a,1),171(a,1,2,1)),flip(a)]. 345 T((x * y) / x,z) * x = x * T(y,z). [para(154(a,1),171(a,1,2,1)),flip(a)]. 346 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(119(a,1),171(a,1,2,1))]. 347 T(x,T(x,y) \ z) * y = y * ((T(x,y) \ z) \ z). [para(119(a,1),171(a,1,2)),flip(a)]. 348 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(178(a,1),171(a,1,2,1)),flip(a)]. 349 (x * T(x \ y,z)) / x = T(y / x,z). [para(175(a,1),155(a,1,1,2))]. 351 T(x,T(T(x,y),z)) = x. [hyper(38,a,187,a)]. 352 K(x,T(T(x,y),z)) = 1. [hyper(39,a,351,a)]. 353 T((x * y) / x,T(y,z)) = (x * y) / x. [para(154(a,1),351(a,1,2,1))]. 354 (x * T(y,z)) / x = T((x * y) / x,z). [para(194(a,1),155(a,1,1,2))]. 356 T(x,(y * x) / y) = x. [hyper(38,a,195,a)]. 357 K(x \ 1,x) * K(x,x \ 1) = 1. [para(179(a,2),233(a,1,1))]. 358 (x \ y) * x != y * z | K(x \ y,x) = z. [para(234(a,1),22(a,1))]. 359 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(234(a,1),209(a,1,2)),flip(b)]. 360 x * (y / x) != y * z | K(x,y / x) = z. [para(235(a,1),22(a,1))]. 361 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(235(a,1),209(a,1,2)),flip(b)]. 364 1 / K(x,x \ 1) = K(x \ 1,x). [para(339(a,1),63(a,1,2))]. 368 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),79(a,1,2)),flip(b)]. 371 (x / y) * y != z * u | z \ x = u. [para(17(a,1),81(a,1,1,1)),flip(b)]. 372 x \ (x * y) != z * u | y / u = z. [para(19(a,1),85(a,1,2,2)),flip(b)]. 373 (x / y) * y != z * u | x / u = z. [para(19(a,1),88(a,1,1,1)),flip(b)]. 374 R(x,y,z) * (y * z) != u * z | x * y = u. [para(33(a,2),88(a,1,1)),flip(b)]. 375 (x * y) \ (x * y) = a(x,1,y). [para(15(a,1),92(a,1,2,1))]. 376 a(x,1,y) = 1. [hyper(210,a,375,a),flip(a)]. 378 L(x,1,y) = x. [hyper(36,a,376,a)]. 379 a(x,y,1) = 1. [hyper(209,a,93,a)]. 381 L(1,x,y) = 1. [hyper(36,a,379,a)]. 382 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,89,a(flip),b,103,a)]. 383 L(x \ T(y * x,y),x,y) = y. [hyper(20,a,158,a(flip),b,103,a)]. 384 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(220,a,91,a(flip),b,103,a(flip)),flip(a)]. 385 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(220,a,90,a(flip),b,103,a(flip)),flip(a)]. 386 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(72,a,103,a(flip),b,118,a)]. 387 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(71,a,103,a(flip),b,118,a)]. 388 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),22(a,1)),flip(a)]. 389 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),31(a,2,1)),flip(a)]. 390 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),31(a,2,2,2)),flip(a)]. 391 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),33(a,2,1,1)),flip(a)]. 392 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),103(a,1,2))]. 393 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),103(a,1,2))]. 394 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),103(a,1,2))]. 395 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(118(a,1),103(a,1,1))]. 396 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),209(a,1,2)),flip(b)]. 397 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(103(a,1),98(a,1,1))]. 398 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(179(a,2),103(a,1,1))]. 400 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(220,a,333,a(flip),b,105,a)]. 401 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(220,a,125,a(flip),b,105,a)]. 402 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(220,a,124,a(flip),b,105,a)]. 403 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(220,a,101,a(flip),b,105,a)]. 404 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),105(a,2,1))]. 406 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(27(a,2),105(a,1,1)),flip(a)]. 407 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),43(a,2,1)),flip(a)]. 408 R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x). [para(105(a,1),47(a,1,1))]. 409 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(118(a,1),105(a,2,1))]. 410 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(182(a,2),105(a,2,2))]. 411 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 412 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(103(a,1),105(a,2,2))]. 414 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,91,a(flip),b,114,a)]. 415 R(x / y,y,z) \ (x * z) = y * z. [hyper(71,a,90,a(flip),b,114,a)]. 416 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(71,a,114,a(flip),b,103,a)]. 417 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),114(a,1,2))]. 418 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(114(a,1),23(a,1))]. 421 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(114(a,1),33(a,2,1,1)),flip(a)]. 422 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(114(a,1),33(a,2,2)),flip(a)]. 423 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),114(a,1,1))]. 424 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),114(a,1,1))]. 425 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),114(a,1,1))]. 426 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(118(a,1),114(a,1,2))]. 427 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),114(a,1,2))]. 428 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(179(a,2),114(a,1,2))]. 429 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(114(a,1),272(a,1,1)),flip(b)]. 430 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(114(a,2),272(a,1,1)),flip(b)]. 431 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(114(a,1),147(a,1))]. 433 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(114(a,1),103(a,1,1))]. 434 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(114(a,1),114(a,1,2))]. 435 R(x / (1 / y),1 / y,y) = x * y. [hyper(220,a,129,a(flip),b,115,a)]. 436 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(220,a,128,a(flip),b,115,a)]. 437 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),115(a,2,1))]. 438 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(17(a,1),115(a,2,2))]. 439 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),115(a,2,2))]. 440 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(115(a,1),45(a,2,1)),flip(a)]. 441 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(115(a,2),120(a,1,1))]. 442 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(188(a,1),115(a,2,2))]. 443 R(x / y,y,x \ z) \ z = y * (x \ z). [para(115(a,2),281(a,1,1))]. 444 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(151(a,2),115(a,1,1))]. 445 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(114(a,1),115(a,2,1))]. 446 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(114(a,1),115(a,2,2))]. 447 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(115(a,2),115(a,1,1))]. 448 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),134(a,1,1,2))]. 449 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(118(a,1),134(a,1,1,2))]. 451 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(118(a,1),139(a,1,2,1))]. 452 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),139(a,1,2,1))]. 453 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(234(a,1),139(a,1,2,1))]. 454 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),139(a,1,2,1))]. 455 K(x,1 / x) \ x = L(x,1 / x,x). [para(182(a,2),153(a,2,1)),flip(a)]. 456 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,48,a,b,180,a)]. 457 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,43,a(flip),b,180,a)]. 458 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(180(a,1),22(a,1))]. 459 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(118(a,1),180(a,1,2)),flip(a)]. 460 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,48,a,b,183,a)]. 461 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(118(a,1),183(a,1,2)),flip(a)]. 462 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(183(a,1),209(a,1,2)),flip(b)]. 463 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,45,a(flip),b,184,a)]. 464 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(71,a,184,a(flip),b,118,a)]. 468 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(114(a,1),184(a,1,1)),flip(a)]. 469 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,49,a,b,185,a)]. 470 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,47,a(flip),b,185,a)]. 471 K(x,1 / x) * x = R(x,1 / x,x). [para(182(a,2),185(a,1,1))]. 472 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(217(a,1),43(a,2,1))]. 473 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(66(a,1),217(a,1,1))]. 474 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(103(a,1),232(a,1)),flip(b)]. 475 (x * (y / x)) \ y != z | K(y / x,x) = z. [para(19(a,1),239(a,1,2))]. 476 x * 1 != y * z | x / z = y. [para(61(a,1),270(a,1))]. 478 x * (x \ y) != z * u | y / u = z. [para(224(a,2),476(a,1))]. 479 (x * (x \ y)) * z != u | y * z = u. [para(63(a,1),271(a,1,1,1))]. 480 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(298(a,1),248(a,1,2))]. 481 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(299(a,1),43(a,2,1)),flip(a)]. 482 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(303(a,1),45(a,2,1)),flip(a)]. 484 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(303(a,2),115(a,1,1))]. 485 x * y != z * u | z \ (x * y) = u. [para(16(a,1),318(a,1,2))]. 486 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),318(a,1,2))]. 491 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(326(a,1),274(a,1,2)),flip(b)]. 492 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(330(a,1),208(a,1,2)),flip(b)]. 493 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(331(a,1),208(a,1,2)),flip(b)]. 496 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(223(a,1),371(a,1,1))]. 497 (x * y) / y != z * u | z \ x = u. [para(223(a,2),371(a,1))]. 500 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(297(a,1),372(a,1,2))]. 501 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(114(a,1),372(a,1,2))]. 502 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),373(a,1,1))]. 506 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(223(a,1),373(a,1,1))]. 508 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [hyper(220,a,179,a,b,382,a)]. 509 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(401(a,1),43(a,2,1))]. 510 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(402(a,1),43(a,2,1))]. 511 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(402(a,1),47(a,1,1)),flip(a)]. 513 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(435(a,1),45(a,2,1))]. 515 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(436(a,1),45(a,2,1))]. 516 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 517 K(x,1 / x) * L(x,1 / x,x) = x. [para(455(a,1),17(a,1,2))]. 518 x * ((y / (x \ z)) \ y) != u * w | z / w = u. [para(66(a,2),478(a,1,2))]. 520 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(89(a,2),485(a,1))]. 521 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(91(a,2),485(a,1))]. 522 (x * T(y,x)) / x != z * u | z \ y = u. [para(118(a,2),497(a,1,1))]. 523 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(517(a,1),22(a,1)),flip(a)]. 524 T(x / y,(z / y) \ z) = y \ x. [hyper(160,a,252,a,b,250,a)]. 525 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(160,a,103,a(flip),b,90,a(flip))]. 526 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(220,a,103,a(flip),b,172,a(flip)),flip(a)]. 528 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(172(a,1),27(a,2,1,2)),flip(a)]. 529 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),172(a,1,2,1))]. 530 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),172(a,1,2,1))]. 531 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(120(a,1),172(a,1,2,1)),flip(a)]. 533 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(154(a,1),172(a,1,2,1)),flip(a)]. 534 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(119(a,1),172(a,1,2,1))]. 535 L(T(x / y,z),u,w) * y = y * L(T(y \ x,z),u,w). [para(175(a,1),172(a,1,2,1)),flip(a)]. 536 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(220,a,114,a(flip),b,173,a)]. 537 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,114,a(flip),b,173,a)]. 538 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(173(a,1),22(a,1))]. 539 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),173(a,1,2,1))]. 541 R(x,y,z) * x = x * R(x,y,z). [para(117(a,1),173(a,1,2,1)),flip(a)]. 542 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(120(a,1),173(a,1,2,1)),flip(a)]. 543 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(130(a,1),173(a,1,2,1)),flip(a)]. 544 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(154(a,1),173(a,1,2,1)),flip(a)]. 545 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(119(a,1),173(a,1,2,1))]. 546 T(x,R(x,y,z)) = x. [hyper(161,a,541,a)]. 547 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(176(a,1),155(a,1,1,2))]. 548 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(177(a,1),155(a,1,1,2))]. 549 T(x / (y * x),y) = R(y \ 1,y,x). [para(151(a,1),177(a,1,1))]. 550 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(115(a,1),177(a,1,1))]. 551 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(219(a,1),177(a,1,1)),flip(a)]. 552 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(304(a,1),177(a,1,1)),flip(a)]. 553 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(436(a,1),177(a,1,1)),flip(a)]. 554 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(549(a,1),118(a,1,2)),flip(a)]. 555 x * (y * (y \ z)) != u | x * z = u. [para(229(a,1),208(a,1)),flip(b)]. 556 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(229(a,1),478(a,1))]. 557 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(180(a,1),555(a,1))]. 559 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(318,a,240,a),flip(a)]. 560 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(160,a,240,a,b,118,a)]. 561 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(79,a,240,a)]. 562 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(71,a,240,a(flip),b,103,a)]. 564 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(240(a,2),29(a,2,1)),flip(a)]. 565 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(240(a,2),31(a,2,1)),flip(a)]. 567 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(373,a,241,a),flip(a)]. 568 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,241,a,b,xx)]. 569 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,x \ y)) = u. [para(241(a,1),239(a,1,2))]. 573 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(242(a,2),555(a,1,2))]. 574 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),322(a,1,1))]. 576 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(118(a,1),327(a,1,2))]. 577 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(182(a,2),327(a,1,2))]. 578 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(328(a,2),191(a,1,2,2))]. 579 K(x \ (x * y),x) = K(y,x). [hyper(220,a,99,a(flip),b,335,a),flip(a)]. 580 K(x \ (x * y),z) = K(y,z). [para(56(a,1),579(a,1,1)),flip(a)]. 581 K((x / y) \ x,z) = K(y,z). [para(19(a,1),580(a,1,1,2))]. 582 T(x / y,(y \ x) \ z) = (y * (((y \ x) \ z) \ z)) / y. [hyper(72,a,241,a(flip),b,344,a),flip(a)]. 583 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(344(a,1),272(a,1,1)),flip(b)]. 584 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(220,a,240,a(flip),b,345,a(flip)),flip(a)]. 585 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(345(a,1),272(a,1,1)),flip(b)]. 586 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(66(a,1),349(a,1,1,2,1))]. 587 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(349(a,1),214(a,1,1)),flip(b)]. 588 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(120(a,1),354(a,1,1,2)),flip(a)]. 589 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(354(a,1),214(a,1,1)),flip(b)]. 590 K((x \ y) \ 1,y \ x) = 1. [hyper(39,a,480,a)]. 591 K(((x * y) \ x) \ 1,y) = 1. [para(16(a,1),590(a,1,2))]. 592 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(561(a,1),208(a,1,2)),flip(b)]. 593 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,91,a(flip),b,94,a)]. 594 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(17(a,1),94(a,1,1,2))]. 595 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(19(a,1),94(a,1,1,2))]. 596 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(118(a,1),94(a,1,1,2))]. 597 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),209(a,1,2)),flip(b)]. 598 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(114(a,1),94(a,1,1))]. 599 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(118(a,1),104(a,1,2,2)),flip(a)]. 600 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(150(a,2),104(a,1,2,2,1))]. 601 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(118(a,1),106(a,1,2,2)),flip(a)]. 602 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),205(a,1)),flip(b)]. 603 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),208(a,1,2)),flip(b)]. 604 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(103(a,1),106(a,1,2,2)),flip(a)]. 605 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(17(a,1),112(a,2,2))]. 606 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(112(a,2),267(a,1,1))]. 607 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(112(a,2),281(a,1,1))]. 608 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(184(a,1),149(a,1,2))]. 609 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(185(a,1),152(a,1,2))]. 610 L(T(x,y),y,x) = T(x,x * y). [hyper(211,a,167,a),flip(a)]. 611 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(114(a,1),167(a,1,2))]. 612 T(L(x,y,x),y) = T(x,x * y). [hyper(220,a,43,a(flip),b,610,a(flip)),flip(a)]. 613 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(610(a,1),47(a,1,1)),flip(a)]. 614 x * T(y,y * x) = L(y,x,y) * x. [para(610(a,1),172(a,1,2))]. 615 (x * T(y,y * x)) / x = L(y,x,y). [para(612(a,1),155(a,1,1,2))]. 616 x * T(y,y * x) != z | L(y,x,y) * x = z. [para(612(a,1),213(a,1,2))]. 617 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,345,a,b,614,a(flip)),flip(a)]. 618 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(17(a,1),614(a,1,2,2)),flip(a)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),617(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(617(a,1),41(a,1,1)),flip(a)]. 623 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(16(a,1),275(a,1,1,3))]. 624 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(47(a,1),275(a,1,1))]. 626 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(71,a,118,a(flip),b,295,a)]. 627 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(295(a,2),78(a,1))]. 628 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(300(a,2),103(a,1,2))]. 629 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(119(a,1),312(a,1,2))]. 631 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),314(a,1,2,1))]. 633 K(x,y) = L(x \ T(x,y),x,y). [hyper(220,a,29,a,b,341,a),flip(a)]. 634 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(341(a,1),43(a,2,1))]. 636 (x / y) \ (L(y \ 1,y,x / y) * x) != z | K(x \ (x / y),x) = z. [para(299(a,2),359(a,1,2,1))]. 637 (x \ y) \ (y * R(1 / x,x,x \ y)) != z | K(y,(x \ y) / y) = z. [para(303(a,2),361(a,1,2,2))]. 638 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(220,a,172,a(flip),b,384,a(flip))]. 639 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,172,a(flip),b,384,a(flip))]. 640 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),384(a,1,2))]. 641 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(384(a,1),209(a,1,2)),flip(b)]. 642 L(x \ y,x,y / x) = T(y / x,y). [hyper(160,a,89,a(flip),b,385,a),flip(a)]. 643 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(220,a,172,a(flip),b,385,a(flip))]. 644 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,172,a(flip),b,385,a(flip))]. 647 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(400(a,1),43(a,2,1))]. 648 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(400(a,1),47(a,1,1)),flip(a)]. 649 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(404(a,2),211(a,1))]. 650 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(414(a,1),274(a,1,2)),flip(b)]. 651 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(439(a,1),45(a,2,1))]. 652 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 653 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(439(a,1),177(a,1,1)),flip(a)]. 654 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(449(a,1),207(a,1,1)),flip(b)]. 656 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),550(a,2,1)),flip(a)]. 657 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(550(a,1),175(a,1,1))]. 658 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(551(a,1),114(a,1,1))]. 659 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(16(a,1),553(a,1,1)),flip(a)]. 660 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(19(a,1),554(a,1,1,2)),flip(a)]. 661 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). [para(554(a,1),29(a,2,1)),flip(a)]. 662 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(656(a,2),118(a,1,2)),flip(a)]. 664 T(R(x,y,x),y * x) = T(x,y). [para(656(a,2),194(a,1,1))]. 665 R(T(x,y * x),y,x) = T(x,y). [hyper(220,a,45,a,b,664,a(flip)),flip(a)]. 666 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(664(a,1),172(a,1,2,1)),flip(a)]. 667 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(664(a,1),173(a,1,2,1)),flip(a)]. 668 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),665(a,1,1,2))]. 669 R(x,1 / x,x) = T(x,1 / x). [para(141(a,1),668(a,1,1))]. 670 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(669(a,1),49(a,1,1)),flip(a)]. 671 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(659(a,1),155(a,1,1,2))]. 672 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(220,a,45,a,b,122,a),flip(a)]. 674 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),212(a,1,2))]. 675 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(48(a,1),212(a,1,2))]. 678 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(118(a,1),216(a,1,2))]. 679 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),388(a,1,1)),flip(a)]. 681 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(118(a,1),396(a,1,1))]. 682 (x * y) \ (x * ((z \ y) * z)) != u | L(K(z \ y,z),y,x) = u. [para(234(a,1),396(a,1,2,2))]. 683 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),396(a,1,2,2))]. 684 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(94(a,1),396(a,1,2,2))]. 688 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(69(a,1),429(a,1,1))]. 689 (x * (1 / y)) * y != z | R(x,1 / y,(1 / y) \ 1) = z. [para(66(a,1),431(a,1,2))]. 690 ((x \ 1) \ y) / y != z | R(x,x \ 1,(x \ 1) \ y) = z. [para(17(a,1),491(a,1,2))]. 691 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(118(a,1),492(a,1,2))]. 692 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(179(a,2),493(a,1,2))]. 694 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(298(a,1),531(a,2,2))]. 695 L(R(x / y,y,y \ z),u,w) * z = z * L(z \ (x * (y \ z)),u,w). [para(438(a,2),531(a,1,1,1))]. 697 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,533,a),flip(a)]. 698 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,103,a(flip),b,533,a),flip(a)]. 700 (x * y) * R((x * y) \ z,x,y) = ((z / (x * y)) * x) * y. [hyper(216,a,542,a),flip(a)]. 701 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(542(a,1),184(a,1,1))]. 702 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(238(a,1),542(a,1,1,1)),flip(a)]. 703 T(x,R(T(x,y),z,u)) = x. [hyper(161,a,543,a)]. 704 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(216,a,544,a)]. 705 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,544,a),flip(a)]. 707 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(220,a,275,a(flip),b,544,a(flip)),flip(a)]. 708 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,544,a(flip),b,275,a(flip))]. 709 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(72,a,544,a(flip),b,114,a(flip))]. 710 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(66(a,1),547(a,1,1,2,1))]. 712 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(105(a,1),547(a,1,1,2))]. 713 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(217(a,1),547(a,1,1,2)),flip(a)]. 714 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(298(a,1),547(a,1,1,2))]. 715 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(401(a,1),547(a,1,1,2))]. 716 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(633(a,2),547(a,1,1,2)),flip(a)]. 717 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),548(a,1,1,2,1))]. 718 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(66(a,1),548(a,1,1,2,1))]. 719 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(548(a,1),214(a,1,1)),flip(b)]. 720 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(588(a,1),118(a,1,2)),flip(a)]. 721 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(588(a,1),155(a,1,1,2))]. 722 T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. [para(118(a,1),616(a,1,2,2))]. 723 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(120(a,1),672(a,1,1,1)),flip(a)]. 724 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),697(a,2,1,2))]. 725 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(217(a,1),697(a,2,1,2))]. 726 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(299(a,1),697(a,2,1,2))]. 727 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(400(a,1),697(a,2,1,2))]. 728 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(705(a,2),214(a,1,1)),flip(b)]. 729 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(151(a,1),705(a,2,1,2))]. 730 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(219(a,1),705(a,2,1,2))]. 732 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(435(a,1),705(a,2,1,2))]. 733 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(436(a,1),705(a,2,1,2))]. 734 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(705(a,1),216(a,1,1))]. 735 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(108(a,2),274(a,1,2)),flip(b)]. 736 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(220,a,354,a(flip),b,170,a(flip)),flip(a)]. 737 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(220,a,105,a(flip),b,301,a)]. 738 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(294(a,1),301(a,1,1)),flip(a)]. 739 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(301(a,1),103(a,1,2))]. 740 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(17(a,1),738(a,1,1,1))]. 741 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),392(a,1,2,1))]. 742 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(217(a,1),392(a,1,2,1))]. 743 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(610(a,1),392(a,1,2,1))]. 744 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(315,a,395,a),flip(a)]. 745 (x * y) * L(R(T(x,y) \ z,u,w),T(x,y),y) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(542(a,2),395(a,2,2))]. 746 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(118(a,1),407(a,1,1,1)),flip(a)]. 747 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(407(a,2),212(a,1,2))]. 748 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(409(a,1),47(a,1,1)),flip(a)]. 749 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(409(a,1),48(a,1,1)),flip(a)]. 750 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(115(a,1),423(a,1,1,1))]. 751 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(20,a,173,a,b,426,a(flip)),flip(a)]. 752 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(751(a,1),426(a,1,1)),flip(a)]. 753 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(220,a,120,a(flip),b,440,a(flip))]. 754 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(118(a,1),451(a,1,2))]. 755 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(402(a,1),457(a,1,2,1)),flip(a)]. 756 T(R(x / y,y,y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(220,a,344,a(flip),b,463,a)]. 757 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(472(a,1),212(a,1,2))]. 758 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(481(a,2),385(a,1,2)),flip(a)]. 759 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(482(a,2),275(a,1,1))]. 760 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(602,a,509,a)]. 761 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(220,a,461,a(flip),b,509,a(flip)),flip(a)]. 762 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,509,a(flip),b,183,a)]. 764 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(220,a,459,a(flip),b,510,a(flip)),flip(a)]. 765 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(71,a,510,a(flip),b,459,a(flip))]. 766 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(72,a,513,a(flip),b,185,a),flip(a)]. 767 R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(63(a,1),515(a,1,1,1))]. 768 (x / y) * ((z / y) \ z) != u * w | x / w = u. [para(66(a,1),518(a,1,2,1,2))]. 769 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(525(a,1),345(a,1,1))]. 770 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [hyper(220,a,295,a(flip),b,526,a),flip(a)]. 771 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(71,a,94,a(flip),b,536,a),flip(a)]. 772 R(T(x,(x \ y) * z),x \ y,z) = ((x \ y) * z) \ (y * z). [hyper(71,a,91,a(flip),b,536,a),flip(a)]. 773 (x * y) * T(y,x) = (y * x) * y. [para(665(a,1),536(a,1,2))]. 774 (x * (y / x)) * x = y * T(x,y / x). [hyper(271,a,773,a),flip(a)]. 775 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(71,a,57,a(flip),b,773,a)]. 777 K(x \ 1,x) \ x = T(x,x \ 1). [para(179(a,2),775(a,1,1))]. 778 K(x \ 1,x) * T(x,x \ 1) = x. [para(777(a,1),17(a,1,2))]. 779 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(220,a,241,a(flip),b,778,a(flip)),flip(a)]. 781 R(x,y \ 1,(y \ 1) \ 1) != z | (x * (y \ 1)) * T(y,y \ 1) = z. [para(184(a,1),573(a,1))]. 782 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(63(a,1),587(a,1,1,1))]. 783 T(x,y) * z != u | z * T(T(x,z),y) = u. [para(155(a,1),589(a,1,1,1))]. 784 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(118(a,1),593(a,1,1))]. 785 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(72,a,594,a(flip),b,118,a)]. 786 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [hyper(71,a,774,a(flip),b,595,a)]. 787 T(((x / y) * y) \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). [hyper(220,a,407,a,b,601,a(flip)),flip(a)]. 788 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(220,a,353,a(flip),b,621,a(flip)),flip(a)]. 790 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(220,a,43,a,b,622,a)]. 791 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(623(a,1),23(a,1))]. 792 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(298(a,1),639(a,1,2,1)),flip(a)]. 793 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(400(a,1),639(a,1,2,1)),flip(a)]. 795 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(19(a,1),713(a,2,1,2,1))]. 796 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(165(a,1),713(a,2,1,2))]. 797 (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). [para(17(a,1),753(a,1,1,2)),flip(a)]. 798 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(769(a,1),23(a,1))]. 800 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(220,a,334,a,b,720,a(flip)),flip(a)]. 801 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(63(a,1),720(a,1,1,1,2)),flip(a)]. 802 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(115(a,2),720(a,1,1,1,2))]. 803 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),721(a,1,1,2,1,2))]. 804 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(721(a,1),214(a,1,1)),flip(b)]. 805 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(115(a,1),723(a,1,1,1))]. 806 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(441(a,1),723(a,1,1)),flip(a)]. 807 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(160,a,752,a,b,xx)]. 809 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(631,a,755,a),flip(a)]. 810 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),755(a,2,2,1))]. 811 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),755(a,2,2,1))]. 812 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(220,a,346,a(flip),b,810,a(flip)),flip(a)]. 813 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(812(a,1),166(a,1,2,2))]. 814 T((1 / x) * y,z) != (1 / x) * u | x * T(x \ y,z) = u. [para(760(a,1),22(a,1))]. 815 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),762(a,1,2,1))]. 816 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),762(a,1,2,1)),flip(a)]. 818 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),765(a,1,2,1)),flip(a)]. 819 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(19(a,1),765(a,1,2,1))]. 820 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(589,a,766,a),flip(a)]. 821 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(587,a,766,a)]. 822 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,766,a(flip),b,344,a(flip))]. 823 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(120(a,1),766(a,1,1)),flip(a)]. 824 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(766(a,1),587(a,1))]. 825 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(220,a,335,a,b,792,a),flip(a)]. 826 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,335,a,b,792,a),flip(a)]. 827 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(809(a,1),17(a,1,2)),flip(a)]. 828 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(78,a,811,a)]. 829 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,811,a(flip),b,344,a)]. 831 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(213,a,816,a)]. 832 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(820(a,1),19(a,1,1)),flip(a)]. 833 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(57(a,1),820(a,1,1,1)),flip(a)]. 834 (1 / x) * T(x,y) = T(x,y) / x. [para(64(a,1),820(a,1,1,1)),flip(a)]. 835 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(269,a,834,a),flip(a)]. 836 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(160,a,834,a,b,17,a),flip(a)]. 837 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,834,a)]. 838 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(78,a,834,a)]. 839 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(220,a,241,a(flip),b,834,a(flip))]. 841 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(834(a,1),269(a,1))]. 842 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(834(a,1),617(a,1,2))]. 843 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(220,a,344,a,b,835,a)]. 844 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(574,a,836,a)]. 845 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(119(a,1),839(a,1,1)),flip(a)]. 846 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(19(a,1),821(a,2,1,1))]. 847 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(19(a,1),822(a,1,2,1,1))]. 849 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),823(a,1,1,1)),flip(a)]. 851 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(150(a,2),826(a,1,1,1))]. 853 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z * u | K(y,x) / u = z. [para(826(a,2),478(a,1,2))]. 854 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(828(a,1),208(a,1,2)),flip(b)]. 856 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(832(a,2),23(a,1))]. 857 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(847(a,1),208(a,1,2)),flip(b)]. 859 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(834(a,1),264(a,1,2,2))]. 860 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(150(a,1),393(a,1,2,1))]. 861 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),393(a,1,2,1))]. 862 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(217(a,1),393(a,1,2,1))]. 863 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),394(a,1,2,1))]. 864 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(217(a,1),394(a,1,2,1))]. 865 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,398,a)]. 866 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(472(a,1),398(a,1,2))]. 867 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(408(a,2),212(a,1,2))]. 868 K(x \ 1,x) * R(((x \ 1) * x) \ ((x \ 1) * y),z,u) = (x \ 1) * (x * R(x \ y,z,u)). [para(408(a,2),398(a,1,2))]. 869 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,K(x \ 1,x)),x \ 1,x). [hyper(71,a,428,a(flip),b,173,a)]. 871 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(812(a,1),452(a,1,1,1))]. 872 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(456(a,2),22(a,1))]. 873 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(402(a,1),456(a,1,2,1)),flip(a)]. 874 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(294(a,1),460(a,1,2,1))]. 875 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(401(a,1),460(a,1,2,1))]. 876 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(469(a,2),23(a,1))]. 877 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(435(a,1),469(a,1,1,1)),flip(a)]. 878 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(305(a,2),470(a,1,1,1))]. 879 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(669(a,1),470(a,1,1,1))]. 880 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(508(a,1),80(a,1,1)),flip(b)]. 881 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,511,a(flip),b,180,a),flip(a)]. 882 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(647(a,1),384(a,1,2)),flip(a)]. 883 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(651(a,1),417(a,1,1)),flip(a)]. 884 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(303(a,1),708(a,1,1,2))]. 885 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(729(a,1),275(a,1,1))]. 886 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),806(a,1,1,1)),flip(a)]. 887 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(851(a,2),325(a,1,2)),flip(a)]. 889 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,173,a,b,545,a),flip(a)]. 890 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(71,a,889,a,b,17,a)]. 891 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,889,a(flip),b,276,a),flip(a)]. 893 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(587,a,658,a)]. 894 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(314,a,743,a),flip(a)]. 895 T(x,y) * (x * z) = x * (T(x,y) * z). [para(171(a,1),894(a,1,2)),flip(a)]. 896 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(555,a,895,a),flip(a)]. 897 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(520,a,895,a)]. 898 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(486,a,895,a),flip(a)]. 899 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(220,a,89,a(flip),b,895,a)]. 900 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(160,a,895,a,b,229,a)]. 901 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(78,a,895,a)]. 902 (x * y) / (x * (T(x,z) \ y)) = T(x,z). [hyper(72,a,89,a(flip),b,895,a)]. 903 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(71,a,89,a(flip),b,895,a)]. 905 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,58,a(flip),b,895,a),flip(a)]. 906 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(19(a,1),895(a,1,2)),flip(a)]. 907 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(118(a,1),895(a,1,2)),flip(a)]. 908 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),895(a,1,1)),flip(a)]. 910 (x * (T(x,y) * z)) \ ((T(x,y) * z) * T(x,z)) = a(T(x,y),z,T(x,z)). [para(895(a,1),163(a,1,1))]. 911 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(196,a,905,a)]. 912 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(160,a,905,a,b,17,a),flip(a)]. 913 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,905,a)]. 914 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(78,a,905,a)]. 915 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(905(a,1),209(a,1,2)),flip(b)]. 917 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(905(a,1),183(a,1,2)),flip(a)]. 918 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(913(a,1),829(a,2,1))]. 919 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(914(a,1),761(a,1,2,1)),flip(a)]. 920 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(896(a,1),22(a,1))]. 921 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(78,a,898,a)]. 922 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(160,a,118,a,b,899,a),flip(a)]. 923 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,384,a,b,899,a)]. 924 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,235,a,b,899,a)]. 925 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(120(a,1),922(a,1,2,1))]. 926 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(921(a,1),208(a,1,2)),flip(b)]. 927 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(921(a,2),208(a,1,2)),flip(b)]. 928 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(921(a,1),478(a,1,2))]. 929 x * (T(x,y) \ (x \ z)) != u * w | (T(x,y) \ z) / w = u. [para(921(a,2),478(a,1,2))]. 930 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,384,a,b,907,a)]. 931 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(918(a,1),19(a,1,1))]. 932 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(120(a,1),925(a,2,2))]. 933 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),932(a,1,2,1))]. 934 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(120(a,1),931(a,1,1)),flip(a)]. 935 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),933(a,2,2)),flip(a)]. 936 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,935,a,b,xx)]. 937 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(71,a,935,a,b,118,a),flip(a)]. 938 ((x * y) / x) \ T(x,y) = y \ x. [hyper(71,a,935,a,b,xx)]. 939 T(x,x / y) / y = (x * (x / y)) / x. [hyper(277,a,935,a(flip))]. 940 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),935(a,2,1,1)),flip(a)]. 941 ((x * (x / y)) / x) * y = T(x,x / y). [para(66(a,1),935(a,2,2)),flip(a)]. 944 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(326(a,1),935(a,2,2)),flip(a)]. 945 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),936(a,1,2)),flip(a)]. 946 T(T(x,x / y) / y,x) = x / y. [para(939(a,2),154(a,1,1))]. 947 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(939(a,1),214(a,1,1)),flip(b)]. 948 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(220,a,720,a(flip),b,941,a(flip)),flip(a)]. 949 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(71,a,941,a(flip),b,720,a(flip))]. 950 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(66(a,1),948(a,1,2,1,2))]. 951 T(x \ T(y,y / x),y) = x \ y. [para(949(a,2),154(a,1,1))]. 952 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(949(a,1),318(a,1,2))]. 953 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(63(a,1),951(a,1,1,2,2))]. 954 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,154,a(flip),b,940,a),flip(a)]. 955 T(T(x * y,x) / y,x * y) = x. [para(945(a,1),154(a,1,1))]. 956 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(945(a,1),736(a,1,1))]. 957 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(184(a,1),955(a,1,1,1,1))]. 958 ((x * y) * x) / (x * y) != z * u | z \ (T(x * y,x) / y) = u. [para(955(a,1),522(a,1,1,2))]. 960 x * R(y,x,T(y,x)) = T(y * x,y). [para(956(a,1),159(a,1,2))]. 962 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(155(a,1),950(a,1,2)),flip(a)]. 964 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(55(a,1),926(a,1,2,2))]. 965 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(346(a,2),964(a,1))]. 966 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(16(a,1),927(a,1,2,2))]. 967 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(922(a,1),966(a,1))]. 968 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(344(a,1),906(a,1,2))]. 969 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(836(a,1),924(a,1,2))]. 971 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(968(a,2),22(a,2))]. 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(257(a,1),758(a,1,2))]. 974 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(587,a,759,a),flip(a)]. 975 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(358,a,770,a)]. 976 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(72,a,975,a,b,344,a)]. 977 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),873(a,2,2,1))]. 979 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(220,a,534,a(flip),b,977,a(flip)),flip(a)]. 980 ((x \ y) \ 1) \ L((x \ y) \ 1,x \ y,x) = (y \ x) * (((x \ y) \ 1) \ 1). [para(298(a,1),979(a,1,1)),flip(a)]. 981 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(979(a,1),554(a,1,1,2)),flip(a)]. 982 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(17(a,1),875(a,1,2,1)),flip(a)]. 983 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(719,a,877,a)]. 984 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(877(a,1),23(a,1))]. 985 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),881(a,2,2,1))]. 986 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),881(a,1,2,1)),flip(a)]. 987 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(220,a,545,a(flip),b,985,a(flip)),flip(a)]. 988 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,985,a(flip),b,545,a(flip))]. 989 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(72,a,987,a(flip),b,173,a)]. 990 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(66(a,1),987(a,1,2)),flip(a)]. 991 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(987(a,1),98(a,1,1))]. 992 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(987(a,1),554(a,1,1,2)),flip(a)]. 993 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),588(a,2,1))]. 995 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(220,a,542,a(flip),b,990,a)]. 997 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(220,a,608,a(flip),b,995,a(flip))]. 998 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(995(a,1),17(a,1,2))]. 999 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(304(a,1),995(a,1,2)),flip(a)]. 1000 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(554(a,2),998(a,1,2))]. 1001 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(220,a,151,a(flip),b,1000,a)]. 1002 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(160,a,1001,a,b,297,a)]. 1004 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(220,a,720,a(flip),b,884,a)]. 1005 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(220,a,628,a(flip),b,893,a(flip))]. 1007 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(63(a,1),1005(a,1,1,1,2)),flip(a)]. 1008 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(151(a,2),1005(a,1,1,1,2))]. 1009 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(120(a,1),908(a,1,2,1))]. 1010 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(154(a,1),908(a,1,2,1)),flip(a)]. 1011 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(178(a,1),908(a,1,2,1)),flip(a)]. 1012 (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. [hyper(555,a,1009,a),flip(a)]. 1014 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(317,a,1009,a),flip(a)]. 1015 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(220,a,65,a(flip),b,1009,a)]. 1018 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(71,a,58,a(flip),b,1009,a),flip(a)]. 1019 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(691,a,1015,a)]. 1020 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(66(a,1),1015(a,1,2,1))]. 1021 (1 / x) * K(x \ 1,x) = x \ 1. [para(179(a,2),1015(a,1,2))]. 1022 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1021(a,1),418(a,2,2))]. 1023 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1019(a,1),460(a,1,2,1))]. 1024 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(220,a,845,a(flip),b,1014,a(flip)),flip(a)]. 1025 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(16(a,1),1014(a,1,2,1)),flip(a)]. 1026 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1018(a,1),22(a,1))]. 1027 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(220,a,66,a(flip),b,1020,a)]. 1029 (1 / (1 / x)) * K(x,1 / x) = x. [para(182(a,2),1027(a,1,2))]. 1031 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(120(a,1),974(a,1,1,1))]. 1032 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(344(a,1),974(a,1,1))]. 1033 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(179(a,2),1031(a,1,1))]. 1034 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(78,a,982,a),flip(a)]. 1035 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),983(a,2,1,1))]. 1036 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(66(a,1),1035(a,1,2,1))]. 1037 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(160,a,1036,a,b,17,a),flip(a)]. 1038 (1 / x) \ (R(x,y,z) / x) = R(x,y,z). [hyper(78,a,1036,a)]. 1039 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1036(a,2),19(a,1,1))]. 1040 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1036(a,1),161(a,2)),flip(a)]. 1041 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1036(a,1),105(a,2,1))]. 1042 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1038(a,1),208(a,1,2)),flip(b)]. 1043 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1037(a,1),606(a,1,1,2))]. 1044 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(220,a,172,a(flip),b,1023,a)]. 1045 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(298(a,1),1044(a,1,2)),flip(a)]. 1046 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(16(a,1),1025(a,1,1)),flip(a)]. 1047 (1 / x) \ ((y * (1 / x)) / y) = ((y * (1 / x)) / y) * x. [para(66(a,1),1046(a,1,2)),flip(a)]. 1048 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1032(a,1),272(a,1,1)),flip(b)]. 1049 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(810(a,1),1032(a,1,1))]. 1050 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(63(a,1),1034(a,2,2,1))]. 1052 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(400(a,1),640(a,1,2,1)),flip(a)]. 1053 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(648(a,1),384(a,1,2)),flip(a)]. 1054 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(652(a,1),417(a,1,1)),flip(a)]. 1055 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(220,a,424,a(flip),b,666,a(flip))]. 1056 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(220,a,425,a(flip),b,667,a(flip))]. 1057 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(118(a,1),698(a,2,1,2))]. 1058 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(31(a,2),700(a,1,2,1)),flip(a)]. 1059 (1 / x) \ ((y * (((1 / x) * x) \ ((1 / x) * z))) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,724,a(flip),b,183,a)]. 1060 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(724(a,1),103(a,1,2))]. 1061 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(725(a,1),103(a,1,2))]. 1062 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(725(a,1),212(a,1,2))]. 1063 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(726(a,1),385(a,1,2)),flip(a)]. 1064 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,732,a(flip),b,185,a),flip(a)]. 1065 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(746(a,1),395(a,1,2))]. 1066 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(436(a,1),756(a,1,1,1))]. 1067 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(220,a,755,a(flip),b,1066,a)]. 1068 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(1066(a,1),19(a,1,1))]. 1069 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(16(a,1),1068(a,1,1,2,1)),flip(a)]. 1070 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(117(a,1),1069(a,2,1,2))]. 1071 K((x * y) * (x \ 1),y) = 1. [hyper(39,a,1070,a)]. 1072 K(((1 / x) * y) * x,y) = 1. [para(66(a,1),1071(a,1,1,2))]. 1073 K(x * y,(1 / y) \ x) = 1. [para(17(a,1),1072(a,1,1,1))]. 1074 T(x * y,(1 / y) \ x) = x * y. [hyper(40,a,1073,a)]. 1075 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(220,a,638,a(flip),b,784,a)]. 1076 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1075(a,1),66(a,1,1))]. 1078 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(897(a,1),796(a,1,1,1))]. 1079 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(220,a,333,a(flip),b,797,a(flip))]. 1081 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(1079(a,1),275(a,1,1))]. 1082 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(344(a,1),1081(a,2,1))]. 1083 (1 / x) \ ((y * (1 / x)) / y) != z | x * ((y * (x \ 1)) / y) = z. [para(1047(a,2),804(a,1))]. 1084 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(14(a,1),824(a,1,1,1))]. 1085 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(16(a,1),854(a,1,2,1,2))]. 1087 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(584(a,2),22(a,1))]. 1089 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(740(a,1),979(a,1,1)),flip(a)]. 1090 x * (y * T(y \ (x \ (z * (x * y))),u)) = T(z,u) * (x * y). [hyper(631,a,742,a),flip(a)]. 1091 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(220,a,893,a(flip),b,742,a(flip))]. 1092 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(755(a,1),1091(a,1,2)),flip(a)]. 1093 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(821(a,1),1091(a,1,2)),flip(a)]. 1094 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1033(a,2),1091(a,1,2)),flip(a)]. 1095 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(60(a,1),1094(a,1,1,1,2)),flip(a)]. 1097 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(179(a,2),1095(a,2,1))]. 1098 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1097(a,1,2,2)),flip(a)]. 1099 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1097(a,1,2,2))]. 1100 K(x \ 1,x) * K(x,1 / x) = x * (K(x \ 1,x) * (1 / x)). [para(263(a,1),1097(a,1,2,2)),flip(a)]. 1101 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1098(a,1),167(a,1,2))]. 1102 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(589,a,750,a),flip(a)]. 1103 (x * T(y,z)) * y = (x * y) * T(y,z). [para(345(a,1),1102(a,1,1))]. 1104 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(506,a,1103,a)]. 1105 (1 / T(x,y)) * x = x / T(x,y). [hyper(320,a,1103,a),flip(a)]. 1106 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(271,a,1103,a),flip(a)]. 1107 (x * T(y,x * y)) * y = y * (x * y). [hyper(220,a,118,a(flip),b,1103,a)]. 1108 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(220,a,90,a(flip),b,1103,a)]. 1109 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(78,a,1103,a)]. 1110 (x * (y * x)) / x = y * T(x,y * x). [hyper(72,a,118,a(flip),b,1103,a)]. 1112 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,69,a(flip),b,1103,a),flip(a)]. 1113 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(71,a,90,a(flip),b,1103,a)]. 1115 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(118(a,1),1103(a,2,1))]. 1116 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(120(a,1),1103(a,1,1,2)),flip(a)]. 1118 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(78,a,1105,a)]. 1120 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1118(a,1),208(a,1,2)),flip(b)]. 1121 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1118(a,1),847(a,2,1))]. 1122 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1118(a,1),849(a,1,1)),flip(a)]. 1123 (x / T(y,z)) / y = (x / y) / T(y,z). [hyper(72,a,218,a(flip),b,1104,a(flip))]. 1126 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1104(a,2),161(a,2)),flip(a)]. 1127 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1106(a,1),23(a,1)),flip(a)]. 1128 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1106(a,1),272(a,1,1)),flip(b)]. 1129 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(962(a,2),1106(a,1,1))]. 1131 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(160,a,1108,a,b,17,a)]. 1132 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,118,a(flip),b,1108,a),flip(a)]. 1133 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(269,a,1132,a),flip(a)]. 1134 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(160,a,1132,a,b,17,a),flip(a)]. 1135 (T(x,y) / y) \ x = T(y,T(x,y)). [hyper(71,a,155,a(flip),b,1132,a)]. 1136 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(72,a,1132,a(flip),b,118,a)]. 1139 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(302(a,1),1132(a,1,1)),flip(a)]. 1140 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(323(a,1),1132(a,1,1)),flip(a)]. 1141 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1109(a,1),886(a,1,1)),flip(a)]. 1143 ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. [para(1123(a,2),214(a,1,1)),flip(b)]. 1145 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1121(a,1),63(a,1,2))]. 1148 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1129(a,1),907(a,1,2)),flip(a)]. 1149 (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. [para(18(a,1),1143(a,1,1,1))]. 1150 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1148,a),flip(a)]. 1151 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(220,a,962,a(flip),b,1150,a(flip))]. 1152 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(688,a,1151,a)]. 1153 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(171(a,1),1115(a,1,1))]. 1154 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,57,a(flip),b,1153,a)]. 1155 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(120(a,1),1116(a,1,2))]. 1156 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(154(a,1),1116(a,1,2)),flip(a)]. 1157 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(506,a,1155,a)]. 1159 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(320,a,1155,a),flip(a)]. 1160 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(72,a,90,a(flip),b,1155,a)]. 1164 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(220,a,812,a(flip),b,1154,a)]. 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(220,a,1046,a(flip),b,801,a)]. 1166 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),860(a,1,1))]. 1167 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(78,a,882,a)]. 1168 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),882(a,2,2,1,2))]. 1169 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(78,a,1168,a),flip(a)]. 1170 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(257(a,1),1168(a,1,2)),flip(a)]. 1171 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [hyper(220,a,975,a,b,1169,a(flip)),flip(a)]. 1172 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(16(a,1),1170(a,1,2,1)),flip(a)]. 1173 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(220,a,344,a(flip),b,883,a)]. 1174 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(120(a,1),934(a,1,2)),flip(a)]. 1175 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(63(a,1),1174(a,1,2,1,1)),flip(a)]. 1176 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(792(a,1),1007(a,1,2)),flip(a)]. 1177 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(99(a,1),1176(a,2,2))]. 1178 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1177(a,1,1,1))]. 1179 ((x \ y) * x) * (y \ x) != z * u | z \ (x * K(x \ y,x)) = u. [para(1177(a,2),485(a,1))]. 1180 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1178(a,2,2,1))]. 1181 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(220,a,296,a,b,1180,a(flip)),flip(a)]. 1183 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1010(a,1,1)),flip(a)]. 1184 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(555,a,1183,a),flip(a)]. 1185 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,89,a(flip),b,1183,a)]. 1186 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,58,a(flip),b,1183,a),flip(a)]. 1187 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(586(a,1),1186(a,1,2,1)),flip(a)]. 1188 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(20,a,384,a,b,1184,a)]. 1189 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(220,a,137,a(flip),b,1011,a(flip))]. 1190 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(317,a,1189,a),flip(a)]. 1192 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(220,a,1159,a(flip),b,1190,a(flip)),flip(a)]. 1195 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(947,a,1064,a),flip(a)]. 1196 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(804,a,1064,a)]. 1197 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1195(a,1,1,1,2)),flip(a)]. 1198 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1195(a,1),1152(a,1,1))]. 1199 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1156(a,1,1,2)),flip(a)]. 1200 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(506,a,1199,a)]. 1201 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(320,a,1199,a),flip(a)]. 1202 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,64,a(flip),b,1199,a),flip(a)]. 1203 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(950(a,1),1199(a,1,1)),flip(a)]. 1204 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(271,a,1203,a),flip(a)]. 1205 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(920,a,1204,a)]. 1207 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1205,a)]. 1209 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(220,a,1197,a,b,1207,a(flip)),flip(a)]. 1210 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1209(a,1,2,2,2)),flip(a)]. 1211 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(17(a,1),1167(a,1,2,2,1,2)),flip(a)]. 1212 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(344(a,1),1173(a,1,1))]. 1213 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1196(a,2,1,1,2))]. 1214 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(35(a,2),1211(a,1,1))]. 1217 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,742,a(flip),b,1212,a)]. 1218 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(72,a,741,a(flip),b,1212,a),flip(a)]. 1219 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,118,a(flip),b,1212,a),flip(a)]. 1220 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(14(a,1),1212(a,2,2,1,2))]. 1221 (x * T(((x * y) / y) \ z,u)) * y = (x * y) * T((x * y) \ (z * y),u). [para(18(a,1),1212(a,1,1,1))]. 1222 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(87,a,1220,a),flip(a)]. 1223 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(257(a,1),1220(a,1,1))]. 1224 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(220,a,975,a,b,1222,a(flip)),flip(a)]. 1225 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(220,a,342,a(flip),b,1223,a)]. 1226 (x * R(x \ 1,x,y)) \ (x * R(1 / x,x,y)) = K(x,y / (x * y)). [para(151(a,2),661(a,1,2,2))]. 1227 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(72,a,516,a(flip),b,701,a)]. 1228 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1227(a,1,1,1)),flip(a)]. 1229 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (1 \ (x * z))) / y). [hyper(71,a,727,a(flip),b,180,a),flip(a)]. 1230 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(727(a,1),384(a,1,2)),flip(a)]. 1231 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(749(a,1),395(a,1,2))]. 1232 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(220,a,660,a(flip),b,999,a(flip))]. 1233 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1232(a,1),17(a,1,2))]. 1234 ((x \ y) / y) * (y / (x \ y)) = (1 / x) \ ((x \ y) / y). [para(63(a,1),1232(a,1,1,2)),flip(a)]. 1235 T(1 / (x / y),(y / x) * (x / y)) = ((y / x) * (x / y)) \ (y / x). [hyper(160,a,1233,a,b,17,a)]. 1237 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(63(a,1),1234(a,1,2)),flip(a)]. 1238 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(298(a,1),1045(a,1,1)),flip(a)]. 1239 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(16(a,1),1238(a,1,2)),flip(a)]. 1240 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1238(a,1),17(a,1,2))]. 1241 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(160,a,1240,a,b,17,a)]. 1243 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(16(a,1),1239(a,1,1)),flip(a)]. 1244 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1243(a,1),17(a,1,2))]. 1245 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(354(a,1),1057(a,1,1))]. 1246 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(636,a,644,a)]. 1247 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(644(a,1),636(a,1))]. 1248 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(220,a,1222,a(flip),b,1246,a)]. 1249 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(220,a,1169,a(flip),b,1246,a)]. 1250 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(220,a,833,a(flip),b,1246,a)]. 1251 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(220,a,810,a(flip),b,1246,a)]. 1252 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,1246,a,b,344,a)]. 1253 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(836(a,1),1246(a,1,1))]. 1254 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1246(a,2),907(a,1,2)),flip(a)]. 1255 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1246(a,2),1168(a,1,2)),flip(a)]. 1256 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1250(a,2),19(a,1,1)),flip(a)]. 1257 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (T(y / z,x) * z) / y. [para(1250(a,2),439(a,1,1))]. 1258 T(x,y) = x * K(y \ (y / (x \ 1)),y). [para(1251(a,2),17(a,1,2)),flip(a)]. 1259 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(120(a,1),1251(a,2,2))]. 1260 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(154(a,1),1251(a,2,2))]. 1262 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(a,2),1248(a,1,1,2,2))]. 1263 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [para(628(a,1),1248(a,2,1))]. 1264 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(953(a,1),1248(a,2,1,2))]. 1265 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(66(a,1),1249(a,2,2,2,1))]. 1266 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(857,a,1255,a),flip(a)]. 1267 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(854,a,1255,a),flip(a)]. 1269 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1255(a,2,2,1,2,2))]. 1270 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1255(a,2,2,1,2,2))]. 1271 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(988(a,1),1259(a,2,2))]. 1272 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1260(a,2),119(a,1,2))]. 1273 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(586(a,1),1260(a,1,1,2,2,1))]. 1274 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1132(a,1),1265(a,2,2))]. 1275 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(493,a,1254,a)]. 1276 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(257(a,1),1263(a,2,1,2))]. 1277 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(19(a,1),787(a,1,1,1)),flip(a)]. 1278 (x * y) * R(T(x,x * y),z,u) = x * (y * R(y \ (x * y),z,u)). [para(35(a,2),861(a,1,2,1))]. 1279 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),864(a,1,1))]. 1280 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(734,a,944,a)]. 1281 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1046(a,1),1280(a,1,1))]. 1282 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(87,a,1281,a)]. 1284 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(155(a,1),1281(a,1,1,2)),flip(a)]. 1285 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(66(a,1),1282(a,1,1,2,2)),flip(a)]. 1286 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1282(a,1),844(a,1,3)),flip(a)]. 1287 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(1083,a,1285,a),flip(a)]. 1288 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1287(a,1),19(a,1,1))]. 1289 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(905(a,1),1288(a,1,1,2,1))]. 1290 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(220,a,173,a(flip),b,986,a)]. 1291 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(905(a,1),1290(a,1,2,1,2))]. 1292 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(63(a,1),1050(a,1,1,2,1))]. 1293 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(78,a,1052,a)]. 1294 (x \ y) * L((x \ y) \ y,z,u) = x \ (L(x,z,u) * y). [hyper(71,a,529,a(flip),b,1052,a),flip(a)]. 1296 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(220,a,534,a(flip),b,1294,a(flip))]. 1297 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,225,a(flip),b,1296,a(flip)),flip(a)]. 1298 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(1296(a,1),17(a,1,2))]. 1299 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [para(17(a,1),1296(a,1,2)),flip(a)]. 1300 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(1297(a,1),17(a,1,2))]. 1301 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1297(a,1),401(a,1,1))]. 1302 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1297(a,1),761(a,1,2,1)),flip(a)]. 1303 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1300(a,1),29(a,2,1)),flip(a)]. 1306 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(16(a,1),1298(a,1,2,2)),flip(a)]. 1307 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(78,a,1299,a)]. 1308 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(71,a,35,a,b,1299,a),flip(a)]. 1310 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,89,a(flip),b,1306,a)]. 1312 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1306(a,1),167(a,1,2))]. 1313 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(179(a,2),1310(a,1,2))]. 1314 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(78,a,1053,a)]. 1315 (R(x / (y / z),u,w) * (y / z)) * z = y * R(y \ (x * z),u,w). [hyper(220,a,542,a(flip),b,1054,a)]. 1316 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(220,a,393,a(flip),b,1058,a)]. 1317 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(118(a,1),1316(a,1,1,1,1,2))]. 1318 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(173(a,1),1317(a,2,2))]. 1319 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(78,a,1063,a)]. 1320 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(63(a,1),1175(a,1,1,1)),flip(a)]. 1321 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [para(54(a,1),1229(a,2,2,1,2))]. 1322 x * (y * R(y \ (x * y),z,u)) = R(x,z,u) * (x * y). [hyper(316,a,1278,a),flip(a)]. 1323 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(35(a,2),1322(a,1,2,2,1))]. 1324 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(173(a,1),1323(a,1,2)),flip(a)]. 1325 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(556,a,1324,a)]. 1326 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(555,a,1324,a),flip(a)]. 1327 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(520,a,1324,a)]. 1328 R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. [hyper(486,a,1324,a),flip(a)]. 1329 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(78,a,1324,a)]. 1330 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,58,a(flip),b,1324,a),flip(a)]. 1331 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(160,a,1324,a(flip),b,229,a),flip(a)]. 1333 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(118(a,1),1324(a,1,2)),flip(a)]. 1334 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(220,a,118,a,b,1330,a(flip)),flip(a)]. 1335 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1330(a,1),183(a,1,2)),flip(a)]. 1336 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1330(a,1),809(a,1,2,1,2))]. 1338 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1325(a,1),207(a,1,1)),flip(b)]. 1339 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [hyper(71,a,275,a(flip),b,1326,a),flip(a)]. 1340 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [hyper(71,a,114,a(flip),b,1326,a),flip(a)]. 1342 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(87,a,1340,a),flip(a)]. 1343 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(160,a,114,a(flip),b,1333,a),flip(a)]. 1344 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(78,a,1343,a)]. 1345 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(605(a,1),1339(a,1,1)),flip(a)]. 1346 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1293(a,1,2,2,1,2)),flip(a)]. 1347 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1346(a,1,1)),flip(a)]. 1348 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(211,a,1312,a),flip(a)]. 1349 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1348(a,1),172(a,1,2))]. 1350 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1314(a,1,2,2,1,2)),flip(a)]. 1351 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(542(a,1),1315(a,1,1))]. 1352 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1319(a,1,2,2,1))]. 1353 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(361,a,1352,a)]. 1354 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1352(a,1),361(a,1))]. 1355 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(220,a,1165,a(flip),b,1353,a)]. 1356 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(63(a,1),1353(a,1,2,1)),flip(a)]. 1357 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(837(a,1),1353(a,1,2)),flip(a)]. 1358 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1145(a,1),1353(a,1,2)),flip(a)]. 1359 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(905(a,1),1355(a,2,2,1))]. 1360 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(987(a,1),1355(a,2,2,1))]. 1361 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(346(a,2),1357(a,1,2,1))]. 1362 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(14(a,1),1351(a,2,2,1,2))]. 1363 (x * R(((x * y) / y) \ z,u,w)) * y = (x * y) * R((x * y) \ (z * y),u,w). [para(18(a,1),1351(a,1,1,1))]. 1364 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1362,a),flip(a)]. 1365 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1364(a,1,1)),flip(a)]. 1366 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(220,a,27,a,b,411,a),flip(a)]. 1368 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(729(a,1),434(a,1,1))]. 1369 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(220,a,562,a(flip),b,565,a(flip)),flip(a)]. 1370 (L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u). [hyper(220,a,624,a(flip),b,695,a(flip)),flip(a)]. 1371 (x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u). [para(531(a,1),1370(a,1,1))]. 1372 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(14(a,1),1371(a,2,2,1,2))]. 1373 (x * y) * L((x * y) \ (z * (x \ (x * y))),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1371(a,1,2)),flip(a)]. 1374 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(733(a,1),800(a,1,1))]. 1375 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(779(a,1),1374(a,1,1,1,2)),flip(a)]. 1378 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(184(a,1),957(a,1,2))]. 1379 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(463(a,1),1378(a,1,1))]. 1380 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1379(a,1),41(a,1,1)),flip(a)]. 1381 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(807(a,1),1380(a,1,1))]. 1382 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1381(a,1,1)),flip(a)]. 1383 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(436(a,1),1382(a,2,2))]. 1384 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1383(a,1,1))]. 1385 T(x,x * (y \ 1)) = T(x,y \ x). [para(120(a,1),1384(a,1,2)),flip(a)]. 1386 T(x,(1 / y) \ x) = T(x,x * y). [para(66(a,1),1385(a,1,2,2)),flip(a)]. 1387 R(K(x \ (x / (1 / (y / z))),x),y / z,z) = (z * T(z \ y,x)) / y. [para(344(a,1),1257(a,2,1))]. 1388 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(442(a,1),1289(a,2,2))]. 1389 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1388(a,2,2,1))]. 1390 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(15(a,1),1060(a,1,2,1,2,2))]. 1391 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(952,a,1390,a)]. 1392 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1390,a(flip))]. 1393 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1390(a,1,1))]. 1394 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(220,a,1353,a,b,1391,a)]. 1395 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1391,a(flip),b,812,a)]. 1396 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1391(a,2),1288(a,1,1)),flip(a)]. 1397 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1394(a,1),17(a,1,2))]. 1398 x * K(x,(x / y) / x) != z | T(x,x / (x * y)) = z. [para(1394(a,1),208(a,1,2)),flip(b)]. 1399 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(63(a,1),1397(a,1,2,2,1)),flip(a)]. 1400 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(113(a,2),1399(a,1,2))]. 1402 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1400(a,2,2,2))]. 1403 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1402(a,1),897(a,1,2,1)),flip(a)]. 1404 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(987(a,1),1395(a,1,1,2,1))]. 1405 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1402(a,1),1403(a,1,1)),flip(a)]. 1406 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(15(a,1),1405(a,1,2)),flip(a)]. 1407 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,16,a(flip),b,1406,a)]. 1408 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(29(a,2),1065(a,1,2,1)),flip(a)]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(930(a,1),1408(a,1,2))]. 1410 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(18(a,1),1221(a,1,1,2,1,1)),flip(a)]. 1411 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(757,a,1410,a)]. 1412 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(160,a,1410,a(flip),b,1065,a(flip)),flip(a)]. 1413 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(160,a,1410,a(flip),b,742,a(flip)),flip(a)]. 1414 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1410(a,1,2,1,2))]. 1416 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1413(a,1,2,1,2)),flip(a)]. 1417 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1416,a,b,xx)]. 1418 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [para(118(a,1),1416(a,1,1)),flip(a)]. 1419 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(213,a,1418,a),flip(a)]. 1420 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1418,a(flip),b,118,a(flip))]. 1421 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1419(a,2),62(a,1,2,1))]. 1422 x \ T(x * (y / x),x) = T(y,x) / x. [para(67(a,1),1420(a,1,1,1)),flip(a)]. 1424 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(72,a,1421,a(flip),b,1093,a),flip(a)]. 1425 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1421(a,1,2,1,1,1))]. 1426 T(x * (y / x),x) = x * (T(y,x) / x). [para(67(a,1),1421(a,1,2,1,1)),flip(a)]. 1427 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(354(a,1),1422(a,1,2,1,2))]. 1428 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(697(a,2),1422(a,1,2,1,2))]. 1429 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(820(a,1),1425(a,1,2)),flip(a)]. 1430 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1417(a,1,2,1,2,1))]. 1431 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * (x * (1 / x)). [hyper(220,a,1090,a(flip),b,1429,a)]. 1432 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1422(a,1),1430(a,2,1))]. 1433 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1432(a,1),17(a,1,2)),flip(a)]. 1434 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(143(a,1),1433(a,2,2,1,1))]. 1435 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(757,a,1414,a)]. 1436 T(x,x * T(x \ 1,y)) = x. [hyper(160,a,628,a(flip),b,1414,a(flip))]. 1437 T(x,(x \ 1) * x) = x. [para(118(a,1),1436(a,1,2))]. 1438 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1436(a,1),668(a,1,1))]. 1439 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(346(a,1),1436(a,1,2))]. 1440 T(x \ 1,x \ T(x,y)) = x \ 1. [para(810(a,1),1436(a,1,2))]. 1441 T(1 / x,T(x,y) / x) = 1 / x. [para(833(a,1),1436(a,1,2))]. 1442 R(x,x \ 1,x) = T(x,x \ 1). [para(1437(a,1),665(a,1,1))]. 1443 T(x,x \ 1) \ x = (x \ 1) * x. [para(1442(a,1),326(a,1,1))]. 1444 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1440,a)]. 1445 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1440(a,1),118(a,1,2))]. 1446 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1441(a,1),354(a,1,1,2)),flip(a)]. 1447 ((x \ 1) \ 1) \ x = (x \ 1) * x. [hyper(220,a,559,a(flip),b,1443,a(flip)),flip(a)]. 1448 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(160,a,1443,a(flip),b,905,a),flip(a)]. 1451 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1447(a,2),279(a,1))]. 1452 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [hyper(220,a,559,a(flip),b,1448,a(flip))]. 1453 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(220,a,246,a,b,1452,a),flip(a)]. 1454 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(220,a,119,a,b,1452,a),flip(a)]. 1455 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(66(a,1),1452(a,2,1,1))]. 1456 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1439(a,1),665(a,1,1))]. 1457 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1444(a,1),634(a,1,1)),flip(a)]. 1458 T(x,1 / x) = (x \ 1) \ 1. [para(66(a,1),1455(a,1,1))]. 1459 T(x,1 / x) = T(x,x \ 1). [hyper(220,a,119,a,b,1458,a)]. 1460 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(220,a,669,a,b,1458,a(flip)),flip(a)]. 1461 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1458(a,1),879(a,1,1,1))]. 1462 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1459(a,1),354(a,1,1,2))]. 1463 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1459(a,1),670(a,2,1))]. 1464 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(220,a,471,a,b,1460,a(flip)),flip(a)]. 1465 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(72,a,1460,a(flip),b,471,a)]. 1466 K(x,1 / x) * x = T(x,x \ 1). [hyper(220,a,119,a,b,1464,a)]. 1467 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(1464(a,1),272(a,1,1)),flip(b)]. 1468 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(220,a,1024,a(flip),b,1465,a(flip)),flip(a)]. 1469 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(66(a,1),1465(a,1,1,1)),flip(a)]. 1470 (x \ 1) * K(x,1 / x) = 1 / x. [para(1468(a,1),17(a,1,2))]. 1471 (1 / x) / K(x,1 / x) = x \ 1. [para(1468(a,1),63(a,1,2))]. 1473 R(1 / x,x,1 / x) = x \ 1. [hyper(577,a,1471,a)]. 1474 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1473(a,1),306(a,1,1)),flip(a)]. 1475 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1474(a,1),139(a,1,1))]. 1476 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1463(a,1),609(a,1,2))]. 1477 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(66(a,1),1461(a,1,1,1,1)),flip(a)]. 1478 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1461(a,1),120(a,1,1))]. 1479 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(585,a,1462,a),flip(a)]. 1480 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(155(a,1),1479(a,1,1)),flip(a)]. 1481 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(220,a,633,a,b,1457,a),flip(a)]. 1482 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1481(a,2,1)),flip(a)]. 1483 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1482,a)]. 1484 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1482(a,1),118(a,1,2)),flip(a)]. 1485 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1482(a,1),213(a,1,2))]. 1486 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1483(a,1),346(a,1,2)),flip(a)]. 1487 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(118(a,1),1435(a,1,2)),flip(a)]. 1488 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(87,a,1487,a)]. 1489 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(220,a,118,a,b,1487,a(flip)),flip(a)]. 1490 (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. [para(119(a,2),1487(a,2,2,1,2)),flip(a)]. 1491 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(988(a,1),1488(a,1,1,2,1))]. 1492 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(155(a,1),1480(a,1,1)),flip(a)]. 1493 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1492(a,1),1122(a,1,1))]. 1494 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1493(a,1),1112(a,1,1,1))]. 1495 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(220,a,17,a(flip),b,1486,a)]. 1497 T(x,K(x \ 1,y)) = x. [hyper(86,a,1495,a)]. 1498 T(1 / x,K(x,y)) = 1 / x. [para(66(a,1),1497(a,1,2,1))]. 1499 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1497(a,1),118(a,1,2))]. 1501 K(x,y) * (1 / x) != z | (1 / x) * K(x,y) = z. [para(1498(a,1),213(a,1,2))]. 1502 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1498(a,1),651(a,1,1)),flip(a)]. 1503 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(220,a,304,a(flip),b,1502,a)]. 1504 T(x / y,K(y / x,z)) = x / y. [para(14(a,1),1503(a,1,1,1))]. 1505 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1504(a,1),175(a,1,1)),flip(a)]. 1506 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(220,a,1429,a,b,1411,a(flip)),flip(a)]. 1507 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1411(a,1,2,2,1,2,2))]. 1508 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1411(a,1,2,2,1,2,2)),flip(a)]. 1509 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(259(a,1),1411(a,2,1,2,1))]. 1510 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1411(a,1,2,2,1,2)),flip(a)]. 1511 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(220,a,1432,a(flip),b,1427,a(flip))]. 1512 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(804,a,1494,a)]. 1513 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(160,a,1508,a,b,17,a),flip(a)]. 1515 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(755(a,1),1508(a,1,1)),flip(a)]. 1516 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1508(a,1,1))]. 1517 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(905(a,1),1512(a,1,2,1))]. 1518 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1512(a,1),1392(a,1,2))]. 1519 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1517(a,1),1389(a,1,1))]. 1520 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(214,a,1519,a)]. 1522 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(220,a,1518,a,b,1520,a(flip)),flip(a)]. 1523 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1517(a,2),1522(a,1,2))]. 1524 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(55(a,1),1516(a,2,2,2,1,2))]. 1526 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(118(a,1),1524(a,2,2))]. 1527 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(257(a,1),1524(a,2,2))]. 1528 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,114,a(flip),b,1526,a)]. 1529 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(18(a,1),1527(a,1,1,1))]. 1531 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1528(a,1),23(a,1)),flip(a)]. 1532 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(349(a,1),1438(a,1,2)),flip(a)]. 1533 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(349(a,1),1532(a,1,2)),flip(a)]. 1534 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1533(a,1),49(a,1,1)),flip(a)]. 1535 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1533(a,1),1343(a,1,1))]. 1536 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(175(a,1),1535(a,1,2))]. 1537 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(220,a,1434,a(flip),b,1536,a)]. 1538 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(180(a,1),1491(a,1,1))]. 1539 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(78,a,1230,a)]. 1540 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1230(a,2,2,1,2,2))]. 1541 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(78,a,1540,a),flip(a)]. 1542 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1353(a,2),1540(a,1,2))]. 1543 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1542(a,1,2,2,1,2)),flip(a)]. 1544 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1264(a,2,1))]. 1545 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1269(a,1,2,1)),flip(a)]. 1546 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1246(a,1),1545(a,1,2))]. 1547 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(78,a,1546,a)]. 1548 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(17(a,1),1291(a,1,2,1)),flip(a)]. 1550 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(17(a,1),1345(a,1,2,1)),flip(a)]. 1552 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(931(a,1),1358(a,1,2,1))]. 1553 (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. [para(792(a,1),1490(a,2,1))]. 1554 (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. [para(99(a,1),1553(a,2,1))]. 1555 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(118(a,1),1515(a,1,2)),flip(a)]. 1556 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1049(a,2),1515(a,1,2)),flip(a)]. 1557 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(220,a,1419,a,b,1555,a(flip)),flip(a)]. 1558 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(67(a,1),1557(a,1,1))]. 1559 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(71,a,1558,a,b,xx),flip(a)]. 1560 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(16(a,1),1558(a,2,2,1,2)),flip(a)]. 1561 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1560(a,1,2,1)),flip(a)]. 1562 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(99(a,1),1560(a,1,2,1)),flip(a)]. 1563 ((x \ 1) * y) \ T((x \ 1) * y,x) != z | L(K(x \ y,x),y,x \ 1) = z. [para(1560(a,1),682(a,1,2))]. 1564 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1561(a,1),118(a,1,2)),flip(a)]. 1565 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(220,a,180,a(flip),b,1564,a)]. 1566 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(17(a,1),1539(a,1,2,2,1,2,2)),flip(a)]. 1567 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(60(a,1),1556(a,1,1,2,1,2)),flip(a)]. 1568 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(15(a,1),1567(a,2,1,2,1))]. 1570 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(20,a,224,a(flip),b,1568,a)]. 1571 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(393(a,1),717(a,1,1)),flip(a)]. 1572 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(220,a,1446,a(flip),b,842,a(flip)),flip(a)]. 1574 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1572(a,1),588(a,1,1))]. 1575 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(220,a,176,a(flip),b,1574,a(flip))]. 1576 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1575(a,1),1357(a,1,2))]. 1577 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(298(a,1),980(a,1,2)),flip(a)]. 1578 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1577(a,1),801(a,1,2,1))]. 1579 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1577(a,1),1353(a,2,2,1)),flip(a)]. 1580 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1101(a,1),211(a,1))]. 1581 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(220,a,392,a(flip),b,1139,a)]. 1582 T(x,x * (y * T(y \ 1,x))) = x. [para(1581(a,1),356(a,1,2))]. 1583 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1581(a,1),1046(a,1,1)),flip(a)]. 1584 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1581(a,1),1202(a,1,2)),flip(a)]. 1585 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1169(a,1),1582(a,1,2,2))]. 1586 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(953(a,1),1585(a,1,2,2,2,2))]. 1587 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1586(a,1,2,2,2))]. 1588 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1587(a,1),41(a,1,1)),flip(a)]. 1589 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(220,a,900,a(flip),b,1588,a(flip)),flip(a)]. 1590 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1589(a,1),63(a,1,2))]. 1591 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1284(a,1),1589(a,1,1,2,1))]. 1592 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1128,a,1590,a)]. 1593 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1126,a,1590,a)]. 1594 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1590(a,2),617(a,1,2))]. 1595 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1593(a,1),344(a,1,1)),flip(a)]. 1596 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(220,a,1284,a(flip),b,1591,a)]. 1597 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1298(a,1),528(a,1,1))]. 1598 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(129(a,1),878(a,1,1,1,1)),flip(a)]. 1599 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(220,a,535,a(flip),b,1598,a(flip)),flip(a)]. 1600 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(66(a,1),1599(a,1,2,1,1))]. 1601 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(17(a,1),885(a,1,1,1,2,2))]. 1602 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(804,a,1601,a),flip(a)]. 1603 (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). [para(720(a,1),1602(a,1,1))]. 1604 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(125(a,1),1059(a,1,2,1,2))]. 1606 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(586(a,1),1187(a,1,1)),flip(a)]. 1607 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(35(a,2),1214(a,1,2,1,1)),flip(a)]. 1608 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(742(a,1),1607(a,1,2))]. 1609 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(220,a,1513,a(flip),b,1608,a(flip))]. 1610 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(16(a,1),1609(a,1,2,1,2)),flip(a)]. 1611 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(155(a,1),1610(a,1,1,2,1,2)),flip(a)]. 1612 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(143(a,1),1611(a,1,2,1,2))]. 1613 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1247,a,1612,a),flip(a)]. 1614 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(213,a,1612,a),flip(a)]. 1615 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(78,a,1612,a)]. 1617 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1613(a,1),118(a,1,2)),flip(a)]. 1618 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(191(a,1),1613(a,2,1,2))]. 1619 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(257(a,1),1613(a,1,1)),flip(a)]. 1620 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(810(a,1),1613(a,1,1))]. 1621 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(887(a,2),1613(a,1,1)),flip(a)]. 1622 L(x,T(x,y) \ 1,T(x,y)) = x * T(K(x \ 1,x),y). [para(1619(a,1),1275(a,2,2))]. 1623 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,2),1618(a,1,2))]. 1624 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1453(a,1),1620(a,2,1,2,2))]. 1625 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1440(a,1),1615(a,1,2,1,2)),flip(a)]. 1626 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(220,a,1620,a,b,1624,a)]. 1627 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1626(a,1),634(a,1,1)),flip(a)]. 1628 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1625(a,2,2,1))]. 1630 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(143(a,1),1628(a,2,2))]. 1632 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(220,a,634,a(flip),b,1627,a)]. 1633 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),1632(a,2,1))]. 1634 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),1633(a,1,1))]. 1636 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [hyper(220,a,864,a(flip),b,1231,a(flip))]. 1637 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(15(a,1),1231(a,1,2,1,2)),flip(a)]. 1638 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(17(a,1),1336(a,1,2,1)),flip(a)]. 1639 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(120(a,1),1638(a,1,1)),flip(a)]. 1640 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(120(a,1),1639(a,1,2)),flip(a)]. 1641 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(16(a,1),1640(a,1,1)),flip(a)]. 1642 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(16(a,1),1641(a,1,2)),flip(a)]. 1643 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(18(a,1),1363(a,1,1,2,1,1)),flip(a)]. 1644 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(160,a,1643,a(flip),b,1053,a),flip(a)]. 1645 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(160,a,1643,a(flip),b,862,a(flip)),flip(a)]. 1646 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1643,a(flip),b,1053,a),flip(a)]. 1647 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1643(a,1,2,1,2))]. 1648 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1643(a,1,2,1)),flip(a)]. 1650 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(611(a,1),1643(a,1,2,1)),flip(a)]. 1651 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1648(a,1,1,2,1))]. 1653 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(496,a,1651,a)]. 1654 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(320,a,1651,a),flip(a)]. 1655 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(78,a,1651,a)]. 1656 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(72,a,90,a(flip),b,1651,a)]. 1657 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1654,a)]. 1658 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1657(a,1),214(a,1,1)),flip(b)]. 1659 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1653(a,1),274(a,1,2)),flip(b)]. 1660 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1655(a,1),886(a,1,1)),flip(a)]. 1661 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(220,a,753,a(flip),b,1660,a(flip)),flip(a)]. 1662 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1660(a,1),536(a,1,2))]. 1663 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,57,a(flip),b,1662,a)]. 1665 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(220,a,567,a(flip),b,1663,a(flip)),flip(a)]. 1666 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1645(a,1,2,1,2)),flip(a)]. 1667 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(72,a,1666,a,b,542,a)]. 1668 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(71,a,1666,a,b,xx)]. 1669 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(143(a,1),1666(a,2,2,1,2))]. 1670 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1669,a)]. 1671 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1669(a,1),1426(a,2,2,1))]. 1672 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(66(a,1),1670(a,1,2,2,1))]. 1673 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(545(a,1),1670(a,1,2))]. 1674 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(985(a,1),1670(a,1,2))]. 1675 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1674(a,1),41(a,1,1)),flip(a)]. 1676 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1672(a,1),615(a,1,1,2))]. 1677 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1673(a,1),665(a,1,1))]. 1678 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(16(a,1),1667(a,1,1,1,2,1)),flip(a)]. 1680 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(867,a,1647,a)]. 1681 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(220,a,862,a(flip),b,1647,a(flip)),flip(a)]. 1684 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(220,a,120,a(flip),b,1661,a)]. 1685 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1684(a,1),17(a,1,2))]. 1686 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(72,a,14,a(flip),b,1685,a)]. 1687 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(304(a,1),1686(a,1,1)),flip(a)]. 1688 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(304(a,1),1687(a,1,2)),flip(a)]. 1689 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1688(a,1),19(a,1,1))]. 1690 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(63(a,1),1688(a,1,1)),flip(a)]. 1691 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(63(a,1),1688(a,1,2,1)),flip(a)]. 1693 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(63(a,1),1690(a,1,2)),flip(a)]. 1694 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1693(a,1),1228(a,1,2,1,2))]. 1695 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(269,a,1691,a),flip(a)]. 1697 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1695(a,1),19(a,1,1))]. 1698 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(220,a,303,a,b,1697,a)]. 1699 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1676(a,1),993(a,1,1))]. 1700 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(220,a,176,a(flip),b,1699,a(flip)),flip(a)]. 1701 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(35(a,2),1644(a,1,1))]. 1702 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(35(a,2),1701(a,1,2,1,1))]. 1703 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(16(a,1),1702(a,2,1,2,1))]. 1704 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(548(a,1),1671(a,2,2))]. 1705 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(548(a,1),1704(a,1,1,2))]. 1706 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(151(a,1),1705(a,1,1,2))]. 1707 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(151(a,1),1706(a,2,2))]. 1708 T(x,x * (y / (x * y))) = x. [hyper(38,a,1707,a)]. 1709 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1708(a,1,2,2,2))]. 1710 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1709(a,1),175(a,1,1)),flip(a)]. 1711 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(220,a,120,a(flip),b,1710,a)]. 1712 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1711(a,1),1224(a,2,1,2))]. 1713 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1647(a,1),1680(a,1,2)),flip(a)]. 1714 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(985(a,1),1713(a,1,1)),flip(a)]. 1715 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1712(a,2,1))]. 1716 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(220,a,60,a(flip),b,1715,a)]. 1718 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1716(a,1),976(a,1,1)),flip(a)]. 1719 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(39,a,1718,a)]. 1720 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(220,a,1235,a(flip),b,1718,a(flip)),flip(a)]. 1721 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1719(a,1,1,2))]. 1722 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1721(a,1,2,2))]. 1723 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1722,a)]. 1724 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(220,a,1002,a(flip),b,1723,a(flip)),flip(a)]. 1726 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(17(a,1),1724(a,1,3,2))]. 1727 L(x \ 1,x,x \ 1) = 1 / x. [para(128(a,1),1724(a,1,3))]. 1728 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(151(a,2),1724(a,1,3))]. 1729 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1724(a,1),297(a,1,2))]. 1730 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1727(a,1),302(a,1,2))]. 1731 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1727(a,1),1372(a,1,1,2)),flip(a)]. 1732 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(220,a,179,a,b,1730,a)]. 1733 T(1 / (1 / x),x \ 1) = x. [hyper(160,a,1159,a,b,1730,a(flip))]. 1735 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1733(a,1),41(a,1,1)),flip(a)]. 1736 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1469,a,b,1732,a(flip)),flip(a)]. 1737 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(220,a,1192,a(flip),b,1732,a(flip)),flip(a)]. 1738 K(x \ 1,x) * (1 / x) = x \ 1. [para(1732(a,1),19(a,1,1))]. 1739 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1732(a,1),66(a,1,1))]. 1740 x * K(x \ 1,x) = 1 / (1 / x). [para(1737(a,1),17(a,1,2))]. 1742 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1738(a,1),103(a,1,1))]. 1743 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1738(a,1),105(a,2,1))]. 1744 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1738(a,1),114(a,1,2))]. 1745 K(x \ 1,x) * K(x,1 / x) = x * (x \ 1). [para(1738(a,1),1100(a,2,2))]. 1746 L(x,x \ 1,x) = 1 / (1 / x). [hyper(692,a,1740,a)]. 1747 K(x \ 1,x) * x = 1 / (1 / x). [hyper(220,a,1499,a,b,1740,a(flip)),flip(a)]. 1750 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1746(a,1),47(a,1,1)),flip(a)]. 1751 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1746(a,1),697(a,2,1,2))]. 1752 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1726(a,1),297(a,1,2))]. 1753 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1728(a,1),302(a,1,2))]. 1756 K(x \ 1,x) * K(x,1 / x) = 1. [hyper(220,a,17,a(flip),b,1745,a)]. 1758 K(x,1 / x) = K(x,x \ 1). [hyper(20,a,357,a,b,1756,a)]. 1760 K(x,x \ 1) = x * (1 / x). [hyper(340,a,1758,a),flip(a)]. 1761 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(220,a,1465,a,b,1758,a(flip)),flip(a)]. 1762 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(220,a,581,a,b,1758,a(flip)),flip(a)]. 1763 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(220,a,1736,a(flip),b,1758,a(flip))]. 1764 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1758,a(flip),b,182,a(flip))]. 1765 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(63(a,1),1758(a,1,2)),flip(a)]. 1766 K(x,x \ 1) != y | x * (1 / x) = y. [para(1758(a,1),340(a,1))]. 1767 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1758(a,1),1029(a,1,2))]. 1768 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1758(a,1),1464(a,1,1))]. 1769 K(x,x \ 1) * x = T(x,x \ 1). [para(1758(a,1),1466(a,1,1))]. 1770 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1758(a,1),1470(a,1,2))]. 1771 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(220,a,1475,a,b,1760,a),flip(a)]. 1772 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1760,a,b,899,a)]. 1774 x \ K(x,x \ 1) != y | 1 / x = y. [para(1760(a,2),209(a,1,2)),flip(b)]. 1775 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1760(a,2),1306(a,1,2))]. 1776 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1760(a,2),1310(a,1,2))]. 1777 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((x \ K(x,x \ 1)) \ y,z,u)). [para(1764(a,1),1053(a,1,2,1)),flip(a)]. 1778 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1761(a,1),1467(a,1))]. 1782 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1769(a,1),103(a,1,1))]. 1783 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1769(a,1),396(a,1,2,2))]. 1784 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1485,a,1770,a)]. 1785 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1784(a,1),448(a,1,1))]. 1786 K(1 / x,x) = K(x \ 1,x). [para(66(a,1),1763(a,1,2))]. 1787 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(63(a,1),1786(a,1,1)),flip(a)]. 1788 x * K(1 / x,x) = 1 / (1 / x). [para(1786(a,2),1740(a,1,2))]. 1789 K(x \ 1,(x \ 1) \ 1) = K(x,x \ 1) \ 1. [para(1787(a,1),339(a,1,1)),flip(a)]. 1790 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1787(a,1),1097(a,1,2,1))]. 1791 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(220,a,1765,a(flip),b,1789,a(flip))]. 1793 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1750(a,1),1538(a,1,1))]. 1794 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1040,a,1753,a)]. 1795 T(1 / (1 / x),y / (x * y)) = x. [para(151(a,1),1794(a,1,2))]. 1796 T(x,y / (x * y)) = T(x,x \ 1). [para(1795(a,1),1735(a,1,1)),flip(a)]. 1797 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(220,a,119,a(flip),b,1796,a)]. 1798 T(x,(x \ y) / y) = T(x,x \ 1). [para(17(a,1),1796(a,1,2,2))]. 1799 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1796(a,1),1225(a,2,1))]. 1800 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1797(a,1,2,2))]. 1801 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(1798(a,1),118(a,1,2))]. 1803 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),1800(a,1,2))]. 1804 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1800(a,1),345(a,1,1))]. 1805 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,549,a(flip),b,1803,a(flip)),flip(a)]. 1806 L(x,T(x,y) \ 1,T(x,y)) = (y * (1 / (1 / T(x,y)))) / y. [para(155(a,1),1751(a,1,1))]. 1807 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1087,a,1804,a)]. 1809 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1760(a,2),1731(a,2,1))]. 1810 (x * (1 / (1 / T(y,x)))) / x = y * T(K(y \ 1,y),x). [hyper(220,a,1622,a(flip),b,1806,a(flip))]. 1811 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * ((1 / (1 / T(y,x))) \ 1). [para(1810(a,1),1025(a,1,2))]. 1812 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1729(a,1),1771(a,1,2))]. 1813 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1812(a,1),17(a,1,2)),flip(a)]. 1816 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(880,a,1742,a(flip))]. 1817 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1787(a,1),1790(a,2,1))]. 1818 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(78,a,1817,a)]. 1819 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(16(a,1),1373(a,1,2,1,2,2))]. 1820 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(((x / y) * y) \ (z * y),u,w). [hyper(271,a,1819,a),flip(a)]. 1821 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(220,a,864,a(flip),b,1819,a(flip)),flip(a)]. 1822 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(220,a,739,a(flip),b,1819,a(flip))]. 1823 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(160,a,1819,a(flip),b,1231,a(flip)),flip(a)]. 1824 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(160,a,1819,a(flip),b,864,a(flip)),flip(a)]. 1825 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(14(a,1),1819(a,1,2,1,2))]. 1827 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1824(a,1,2,1,2)),flip(a)]. 1828 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1827,a,b,xx)]. 1829 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1828(a,1,2,1,2,1)),flip(a)]. 1830 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1422(a,1),1829(a,1,1)),flip(a)]. 1831 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(220,a,1428,a(flip),b,1830,a(flip))]. 1832 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(220,a,864,a(flip),b,1825,a(flip)),flip(a)]. 1834 T(x,x * L(x \ 1,y,z)) = x. [hyper(160,a,739,a(flip),b,1825,a(flip))]. 1835 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(160,a,1825,a(flip),b,1637,a),flip(a)]. 1836 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(160,a,1825,a(flip),b,395,a(flip))]. 1838 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1834,a)]. 1839 T(x,x * ((y * x) \ y)) = x. [para(150(a,1),1834(a,1,2,2))]. 1840 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(298(a,1),1834(a,1,2,2))]. 1841 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(534(a,1),1834(a,1,2))]. 1842 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(834(a,1),1839(a,1,2,2,1))]. 1843 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1840(a,1),614(a,1,2)),flip(a)]. 1844 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1840(a,1),1171(a,2,2,2))]. 1845 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1841(a,1),665(a,1,1))]. 1846 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(38,a,1842,a)]. 1848 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1727(a,1),1832(a,2,1,2))]. 1849 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1809(a,1),1848(a,1,2))]. 1850 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(20,a,103,a(flip),b,1849,a)]. 1851 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1760(a,2),1849(a,2,1))]. 1852 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1851(a,1,2,2)),flip(a)]. 1853 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),22(a,1))]. 1854 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(35(a,2),1851(a,1,2,2))]. 1855 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1851(a,1),209(a,1,2)),flip(b)]. 1856 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1763(a,1),1851(a,1,2,1))]. 1857 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1765(a,1),1851(a,1,2,1))]. 1858 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1852(a,1),22(a,1)),flip(a)]. 1859 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1850(a,1),22(a,1)),flip(a)]. 1860 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(78,a,1835,a)]. 1861 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(220,a,296,a(flip),b,1835,a(flip))]. 1862 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1835(a,1),22(a,1))]. 1863 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(642(a,1),1835(a,2,1,2))]. 1864 T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. [para(1860(a,1),208(a,1,2)),flip(b)]. 1865 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(298(a,1),1860(a,1,2,1,2))]. 1866 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(834(a,1),1861(a,2,2,1))]. 1867 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(917(a,1),1863(a,1,2))]. 1868 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(141(a,1),1867(a,2,1,2))]. 1869 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(739(a,1),1822(a,1,1))]. 1870 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(72,a,90,a(flip),b,1869,a)]. 1871 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(294(a,1),1869(a,1,1,2,2)),flip(a)]. 1872 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(294(a,1),1871(a,1,2,2)),flip(a)]. 1873 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1760(a,2),1872(a,1,1,2))]. 1874 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1760(a,2),1873(a,2,2))]. 1875 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,90,a(flip),b,1874,a)]. 1876 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1875(a,1),120(a,1,1))]. 1880 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(220,a,225,a(flip),b,1844,a)]. 1882 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1880(a,1),976(a,1,1)),flip(a)]. 1883 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(220,a,1241,a(flip),b,1882,a(flip)),flip(a)]. 1884 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(322,a,1883,a)]. 1885 L(x \ 1,y \ (y * x),(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1884(a,1,1,1))]. 1886 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1884(a,1,3))]. 1887 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1884(a,1),1346(a,1,2)),flip(a)]. 1888 L(x \ 1,x,(y * x) \ y) = 1 / (y \ (y * x)). [para(16(a,1),1885(a,1,2))]. 1889 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(16(a,1),1888(a,2,2))]. 1890 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1889(a,1),297(a,1,2))]. 1891 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1889(a,1),302(a,1,2))]. 1893 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(150(a,2),1890(a,1,1,1)),flip(a)]. 1894 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1891(a,1),1256(a,2,1,1,2)),flip(a)]. 1895 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(500,a,1893,a)]. 1896 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(220,a,150,a(flip),b,1886,a(flip)),flip(a)]. 1897 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(220,a,1760,a,b,1887,a)]. 1898 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1897(a,1),17(a,1,2)),flip(a)]. 1899 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(330(a,1),1856(a,1,2,2)),flip(a)]. 1900 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1765(a,1),1857(a,2,1))]. 1901 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(78,a,1900,a)]. 1902 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(220,a,1743,a,b,1901,a(flip)),flip(a)]. 1903 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1576(a,1),1866(a,1,1)),flip(a)]. 1904 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(259(a,1),1375(a,1,2,1,2)),flip(a)]. 1905 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(155(a,1),1904(a,1,1)),flip(a)]. 1906 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(155(a,1),1905(a,1,2)),flip(a)]. 1907 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(1906(a,1),1359(a,1,2,1)),flip(a)]. 1908 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(18(a,1),1907(a,2,2))]. 1909 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(1908(a,1),17(a,1,2))]. 1912 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(545(a,1),1646(a,2,2,1))]. 1913 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(19(a,1),1820(a,2,2,1,1))]. 1914 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(87,a,1913,a)]. 1915 ((x / y) * L((x / y) \ x,z,u)) * y = x * L(y,z,u). [para(16(a,1),1913(a,2,2,1))]. 1916 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1915,a),flip(a)]. 1917 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [para(66(a,1),1915(a,1,1,2,1))]. 1918 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(78,a,1917,a)]. 1919 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(72,a,103,a(flip),b,1917,a),flip(a)]. 1920 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(72,a,14,a(flip),b,1917,a),flip(a)]. 1921 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(18(a,1),1917(a,1,1,1))]. 1922 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(269,a,1920,a),flip(a)]. 1923 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1920,a)]. 1924 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1920(a,1),105(a,2,1))]. 1925 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1920(a,1),617(a,1,2))]. 1926 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1923(a,1),1353(a,1,2)),flip(a)]. 1927 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [para(18(a,1),1918(a,1,1,1))]. 1928 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(506,a,1921,a)]. 1929 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(496,a,1921,a)]. 1930 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(320,a,1921,a),flip(a)]. 1931 ((x * y) * L(y,z,u)) / y = x * L(y,z,u). [hyper(87,a,1921,a)]. 1932 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(160,a,1930,a,b,17,a)]. 1934 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1927(a,1),886(a,1,1)),flip(a)]. 1935 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1929(a,1),274(a,1,2)),flip(b)]. 1936 ((x * y) * (1 / (1 / y))) / y = x * L(y,y \ 1,y). [para(1746(a,1),1931(a,1,1,2))]. 1937 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(78,a,1919,a),flip(a)]. 1938 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1934(a,1),536(a,1,2))]. 1940 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1916(a,1),1834(a,1,2))]. 1941 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1940(a,1),354(a,1,1,2)),flip(a)]. 1942 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(220,a,296,a(flip),b,1922,a)]. 1943 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1942(a,1),19(a,1,1))]. 1944 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1942(a,1),66(a,1,1))]. 1945 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(220,a,150,a(flip),b,1943,a)]. 1946 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1943(a,1),29(a,2,1)),flip(a)]. 1947 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1945(a,1),236(a,1,1))]. 1948 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(17(a,1),1944(a,1,1,2,1))]. 1949 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(298(a,1),1948(a,1,2))]. 1950 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1949(a,1),63(a,1,2))]. 1951 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(14(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1952 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(19(a,1),1914(a,1,1,2,1,2)),flip(a)]. 1953 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(33(a,2),1951(a,1,1)),flip(a)]. 1954 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(((x * y) / y) \ (z / y),u,w). [para(18(a,1),1952(a,1,1)),flip(a)]. 1955 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1894(a,1,1,1))]. 1957 ((x * y) * L((x * y) \ z,u,w)) / y = x * L(x \ (z / y),u,w). [para(18(a,1),1954(a,2,2,1,1))]. 1958 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [para(864(a,1),1957(a,1,1))]. 1959 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1958(a,1),120(a,1,1)),flip(a)]. 1960 x \ (x * (T(y,x) * L(T(y,x) \ z,u,w))) = T(y * L(y \ ((x * z) / x),u,w),x). [para(1636(a,2),1959(a,1,2))]. 1961 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(734,a,802,a),flip(a)]. 1963 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1961(a,1,2,1,2,2)),flip(a)]. 1964 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(720(a,1),1961(a,2,1))]. 1965 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(271,a,1963,a),flip(a)]. 1966 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1963(a,1),271(a,1))]. 1967 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(220,a,1061,a(flip),b,1965,a(flip)),flip(a)]. 1968 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(220,a,948,a(flip),b,1965,a(flip))]. 1969 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(160,a,1968,a,b,17,a),flip(a)]. 1971 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(437(a,2),1967(a,2,1,2,1)),flip(a)]. 1972 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(948(a,1),1966(a,1))]. 1973 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(271,a,1964,a),flip(a)]. 1974 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(220,a,1390,a(flip),b,1964,a(flip))]. 1976 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(160,a,1964,a(flip),b,1230,a),flip(a)]. 1977 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1964(a,1,2,1,2,2))]. 1979 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(220,a,1390,a(flip),b,1977,a(flip))]. 1980 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(220,a,1061,a(flip),b,1977,a(flip)),flip(a)]. 1981 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(220,a,1060,a(flip),b,1977,a(flip)),flip(a)]. 1982 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(160,a,1977,a(flip),b,1543,a(flip))]. 1985 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1977(a,1),1967(a,1,2)),flip(a)]. 1986 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(220,a,1353,a(flip),b,1982,a),flip(a)]. 1987 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1213(a,1),1979(a,1,1)),flip(a)]. 1988 (x * ((y * (x \ 1)) / y)) * y = x * (y * ((x \ y) / y)). [para(17(a,1),1980(a,1,2,2,1)),flip(a)]. 1989 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1986(a,2,1,2,1))]. 1990 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(346(a,2),1986(a,2,1,2,1)),flip(a)]. 1991 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(905(a,1),1989(a,1,2,1))]. 1992 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(20,a,1868,a,b,1991,a),flip(a)]. 1994 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1760(a,2),1991(a,2,1))]. 1995 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1992(a,1),919(a,1,1))]. 1996 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1994(a,1),1523(a,1,2))]. 1997 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1996(a,1),22(a,1))]. 1998 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(220,a,911,a(flip),b,1995,a(flip))]. 1999 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(220,a,120,a(flip),b,1995,a(flip))]. 2000 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(1999(a,2),915(a,1))]. 2003 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(35(a,2),1976(a,1,1))]. 2004 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(35(a,2),2003(a,1,2,1,2,1))]. 2005 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1977(a,1),1981(a,1,2)),flip(a)]. 2006 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1353(a,2),2005(a,1,1))]. 2007 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1213(a,1),1987(a,1,2)),flip(a)]. 2008 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2007,a)]. 2009 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2008(a,1),730(a,1,1))]. 2010 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(220,a,219,a(flip),b,2009,a(flip))]. 2011 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2010(a,1),588(a,1,1))]. 2012 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(220,a,120,a(flip),b,2011,a(flip))]. 2013 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(220,a,29,a,b,2012,a),flip(a)]. 2014 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),2013(a,2,1,2)),flip(a)]. 2015 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2014(a,1),19(a,1,1))]. 2017 x / (1 / (1 / x)) = K(x,1 / x). [para(1029(a,1),2014(a,1,1))]. 2018 K(x,1 / x) * (1 / (1 / x)) = x. [para(2017(a,1),19(a,1,1))]. 2019 L(x,1 / x,x) = 1 / (1 / x). [hyper(523,a,2018,a)]. 2020 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1758(a,1),2018(a,1,1))]. 2021 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2019(a,1),43(a,2,1))]. 2022 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(78,a,2020,a)]. 2023 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(2020(a,1),31(a,2,2,2))]. 2024 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2020(a,1),105(a,2,1))]. 2025 T(1 / x,K(y,x)) = 1 / x. [hyper(161,a,2015,a)]. 2026 K(1 / x,K(y,x)) = 1. [hyper(39,a,2025,a)]. 2027 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2025(a,1),175(a,1,1)),flip(a)]. 2028 K(x,K(y,x \ 1)) = 1. [para(63(a,1),2026(a,1,1))]. 2029 T(x,K(y,x \ 1)) = x. [hyper(40,a,2028,a)]. 2030 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2029(a,1),172(a,1,2,1)),flip(a)]. 2031 T(x \ 1,K(y,x)) = x \ 1. [hyper(220,a,120,a(flip),b,2027,a)]. 2032 T(K(x,y),y \ 1) = K(x,y). [hyper(38,a,2031,a)]. 2033 ((x \ 1) * K(y,x)) / (x \ 1) = K(y,x). [para(2031(a,1),135(a,1,2))]. 2034 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2031(a,1),300(a,2,1))]. 2035 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2031(a,1),1612(a,1,1)),flip(a)]. 2037 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(220,a,859,a,b,2021,a(flip)),flip(a)]. 2038 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(17(a,1),2034(a,1,1,1))]. 2039 T(x \ y,K(z,y \ x)) = x \ y. [hyper(220,a,298,a(flip),b,2038,a)]. 2040 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2039(a,1),118(a,1,2))]. 2041 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(220,a,1775,a(flip),b,2030,a(flip))]. 2045 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2037(a,1),17(a,1,2))]. 2046 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1853,a,2041,a)]. 2047 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1758(a,1),2045(a,1,1))]. 2048 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(220,a,1477,a(flip),b,2046,a)]. 2049 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2022(a,2),2047(a,1,2,1))]. 2050 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2049(a,1),1068(a,1,1))]. 2051 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1791(a,1),2050(a,1,2))]. 2052 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1791(a,1),2051(a,2,1,2))]. 2053 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1740(a,1),2052(a,2,1))]. 2055 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(220,a,392,a(flip),b,1140,a)]. 2056 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(834(a,1),2055(a,2,2))]. 2057 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2056(a,1),1185(a,1,1)),flip(a)]. 2058 ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). [para(118(a,1),1510(a,2,2))]. 2059 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(628(a,1),1510(a,1,1)),flip(a)]. 2060 ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). [para(119(a,2),2058(a,2,2,1,2,1))]. 2061 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1133(a,1),1594(a,1,1))]. 2062 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(930(a,1),2061(a,1,1))]. 2063 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1590(a,1),2062(a,1,2))]. 2064 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(220,a,43,a,b,2063,a(flip)),flip(a)]. 2065 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1587(a,1),2064(a,1,1))]. 2066 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(220,a,930,a,b,2065,a(flip)),flip(a)]. 2067 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2065(a,1),1409(a,1,2))]. 2068 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(220,a,1595,a(flip),b,2066,a(flip))]. 2069 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1098(a,1),1899(a,2,2))]. 2070 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(220,a,1310,a(flip),b,1946,a(flip)),flip(a)]. 2071 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(220,a,183,a(flip),b,2069,a)]. 2072 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1763(a,1),2071(a,1,1)),flip(a)]. 2073 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(118(a,1),2072(a,1,1)),flip(a)]. 2074 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(626(a,1),2070(a,1,2)),flip(a)]. 2076 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(179(a,2),866(a,1,2,1,1))]. 2077 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(35(a,2),1217(a,1,1,2,2,1,2)),flip(a)]. 2079 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (x * (1 / x)))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),1431(a,2,2))]. 2080 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(59(a,1),1506(a,1,1)),flip(a)]. 2081 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(118(a,1),2080(a,1,1))]. 2083 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),2081(a,1,1,1)),flip(a)]. 2084 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2081(a,1),23(a,1))]. 2085 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2083(a,2),23(a,1))]. 2086 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1581(a,1),1583(a,1,2)),flip(a)]. 2087 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(220,a,16,a(flip),b,2086,a)]. 2089 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(810(a,1),2087(a,1,1,2)),flip(a)]. 2090 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(825(a,2),2087(a,1,1,2)),flip(a)]. 2091 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(965,a,2089,a),flip(a)]. 2092 K(x,y) / (y \ 1) = y * K(x,y). [hyper(853,a,2090,a)]. 2095 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(66(a,1),2092(a,1,2)),flip(a)]. 2096 T(x * K(y,x),x \ 1) = (x \ 1) \ K(y,x). [para(2092(a,1),120(a,1,1))]. 2097 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2092(a,1),758(a,1,1)),flip(a)]. 2099 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(220,a,183,a(flip),b,1584,a)]. 2100 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1581(a,1),2099(a,1,1)),flip(a)]. 2101 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(825(a,2),2100(a,1,1)),flip(a)]. 2102 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(825(a,2),2101(a,1,1,2)),flip(a)]. 2103 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(985(a,1),1714(a,1,2,1)),flip(a)]. 2104 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(71,a,58,a(flip),b,2103,a),flip(a)]. 2106 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1250(a,2),1846(a,2,2,1))]. 2109 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(209,a,1960,a)]. 2111 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(19(a,1),1973(a,2,2,1,2,1))]. 2112 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2111,a)]. 2113 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(14(a,1),2112(a,1,1,2,1,2,2)),flip(a)]. 2114 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2031(a,1),2035(a,2,2,1,1))]. 2115 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(220,a,810,a(flip),b,2114,a)]. 2117 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(810(a,1),2115(a,1,1))]. 2118 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2117(a,1),634(a,1,1)),flip(a)]. 2119 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(220,a,633,a,b,2118,a)]. 2120 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),2119(a,1,1))]. 2121 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,2120,a)]. 2122 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2120(a,1),118(a,1,2)),flip(a)]. 2123 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(2120(a,1),162(a,1,2)),flip(b)]. 2124 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2120(a,1),213(a,1,2))]. 2125 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2120(a,1),173(a,1,2,1)),flip(a)]. 2126 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2121(a,1),213(a,1,2))]. 2127 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2121(a,1),171(a,1,2,1)),flip(a)]. 2128 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2121(a,1),172(a,1,2,1)),flip(a)]. 2129 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2121(a,1),173(a,1,2,1)),flip(a)]. 2130 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2121(a,1),315(a,1,2,1))]. 2131 K(x,y) * R(K(z,x),u,w) != v5 | R(K(z,x),u,w) * K(x,y) = v5. [para(2121(a,1),316(a,1,2,1))]. 2132 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1763(a,1),2048(a,1,1))]. 2133 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(874(a,1),2132(a,1,2))]. 2134 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2056(a,1),2057(a,1,2,1)),flip(a)]. 2135 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(315,a,2073,a),flip(a)]. 2136 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(220,a,1515,a(flip),b,2076,a)]. 2137 T(x * ((1 / x) * ((1 / x) \ (x \ (y * K(x,x \ 1))))),x) = T(y,x) * K(x,x \ 1). [para(1760(a,2),2079(a,1,1,2,2,2,2,2))]. 2138 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(59(a,1),2137(a,1,1))]. 2139 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(856,a,2138,a),flip(a)]. 2140 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(120(a,1),2138(a,2,1))]. 2142 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(220,a,1876,a(flip),b,2140,a(flip)),flip(a)]. 2143 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2142(a,1),17(a,1,2))]. 2144 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(66(a,1),2142(a,1,2,2,2)),flip(a)]. 2145 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(814,a,2139,a)]. 2146 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(364(a,1),2139(a,1,1,1)),flip(a)]. 2147 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(16(a,1),2145(a,1,2,1)),flip(a)]. 2148 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2147(a,2),1854(a,1,2))]. 2149 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(364(a,1),2146(a,1,1)),flip(a)]. 2150 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2149(a,2),1099(a,1,2))]. 2151 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(213,a,2148,a)]. 2152 L(x,y,K(x,x \ 1)) = x. [hyper(388,a,2151,a)]. 2153 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2151(a,2),22(a,1)),flip(a)]. 2154 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1763(a,1),2152(a,1,3))]. 2155 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2154(a,1),43(a,2,1))]. 2156 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(213,a,2150,a)]. 2157 L(x,y,K(x \ 1,x)) = x. [hyper(388,a,2156,a)]. 2158 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2157(a,1),43(a,2,1))]. 2159 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1580,a,2158,a)]. 2160 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(865(a,1),2159(a,1,2)),flip(a)]. 2161 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(330(a,1),2144(a,1,1)),flip(a)]. 2162 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1786(a,1),2161(a,1,2,2))]. 2163 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2135(a,2),2162(a,1,2))]. 2164 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(462,a,2163,a),flip(a)]. 2165 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1763(a,1),2164(a,1,2))]. 2166 R(x,y,K(x \ 1,x)) = x. [hyper(418,a,2165,a)]. 2167 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2166(a,1),216(a,1,1))]. 2168 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1762(a,1),2166(a,1,3))]. 2169 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2168(a,1),49(a,1,1)),flip(a)]. 2170 (x * y) * R((x * y) \ (y * z),u,w) = y * (R(z / T(x,y),u,w) * T(x,y)). [para(748(a,1),745(a,1,2))]. 2171 x * (R(1 / T(y,x),z,u) * T(y,x)) = (y * x) * R((y * x) \ x,z,u). [para(15(a,1),2170(a,1,2,1,2)),flip(a)]. 2172 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(542(a,1),2171(a,1,2))]. 2173 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(160,a,1647,a(flip),b,2172,a),flip(a)]. 2174 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(220,a,554,a,b,2173,a(flip))]. 2175 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(812(a,1),2174(a,2,1,2))]. 2176 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1456(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(21,a,1614,a(flip),b,2176,a)]. 2178 (T(x,y) \ 1) * (x \ T(x,y)) = x \ 1. [para(2177(a,1),19(a,1,1))]. 2179 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2177(a,1),120(a,1,1))]. 2180 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(220,a,1630,a(flip),b,2179,a(flip))]. 2182 (x \ T(x,y)) * (T(x,y) \ 1) = x \ 1. [para(2180(a,1),17(a,1,2))]. 2183 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(815(a,1),2180(a,1,1))]. 2184 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2180(a,1),1570(a,1,2,2))]. 2185 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(2182(a,1),209(a,1,2)),flip(b)]. 2186 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(78,a,2184,a),flip(a)]. 2188 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(66(a,1),2183(a,1,2))]. 2189 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2188(a,1),63(a,1,2))]. 2190 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1246(a,2),2188(a,1,1))]. 2191 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1410(a,1),1262(a,2,1))]. 2192 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1414(a,1),2191(a,2,1,1))]. 2193 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(220,a,33,a,b,2192,a),flip(a)]. 2194 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2192(a,2),429(a,1))]. 2195 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2193,a),flip(a)]. 2196 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(60(a,1),2193(a,2,1,2))]. 2197 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(989(a,1),2193(a,2,1,2))]. 2198 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1246(a,1),2194(a,1))]. 2199 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(213,a,2195,a),flip(a)]. 2200 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2196(a,1),114(a,1,1))]. 2201 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(747,a,1270,a),flip(a)]. 2202 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(628(a,1),2201(a,2,2))]. 2203 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(388,a,2202,a)]. 2204 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). [para(1246(a,1),2202(a,1,2))]. 2205 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(220,a,1246,a(flip),b,2203,a),flip(a)]. 2206 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(60(a,1),2203(a,2,1,2))]. 2207 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(257(a,1),2203(a,1,1)),flip(a)]. 2208 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(810(a,1),2203(a,1,1))]. 2209 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1932(a,2),2207(a,1,1))]. 2210 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2157(a,1),2209(a,1,1,1,2)),flip(a)]. 2211 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(120(a,1),2210(a,2,1))]. 2212 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2211(a,1),103(a,1,2))]. 2213 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(18(a,1),2208(a,2,1,2))]. 2215 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(160,a,2212,a,b,xx)]. 2217 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(220,a,1941,a(flip),b,1925,a(flip)),flip(a)]. 2219 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2217(a,1),720(a,1,1)),flip(a)]. 2220 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(220,a,531,a(flip),b,2219,a)]. 2221 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(220,a,1926,a(flip),b,2220,a(flip))]. 2222 K(x \ 1,x) * R(K(x \ 1,x) \ ((x \ 1) * y),z,u) = (x \ 1) * (x * R(x \ y,z,u)). [para(179(a,2),868(a,1,2,1,1))]. 2223 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1534(a,1),1043(a,1,1))]. 2224 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(740(a,1),1089(a,1,2)),flip(a)]. 2225 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(179(a,2),1279(a,1,2,1,1))]. 2226 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2205(a,1),1623(a,1,1))]. 2227 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(257(a,1),2226(a,1,1,1))]. 2228 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1300(a,1),2227(a,1,2))]. 2229 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(220,a,43,a,b,2228,a(flip)),flip(a)]. 2230 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1297(a,1),2229(a,2,1))]. 2231 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1912(a,1,1))]. 2232 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2231(a,1,2,1,1))]. 2233 K(x \ 1,x) * R(K(x \ 1,x) \ (x \ 1),y,z) = (x \ 1) * (x * R(x \ 1,y,z)). [para(15(a,1),2222(a,1,2,1,2))]. 2234 K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)). [para(1739(a,1),2233(a,1,2,1))]. 2235 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(220,a,1821,a(flip),b,2225,a)]. 2236 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(873(a,1),2235(a,2,1))]. 2237 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(220,a,425,a(flip),b,702,a)]. 2238 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(867,a,2237,a)]. 2239 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1442(a,1),2238(a,2,1,1))]. 2240 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(17(a,1),1597(a,1,2,1)),flip(a)]. 2242 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),1694(a,1,2,1)),flip(a)]. 2243 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(810(a,1),2097(a,2,2))]. 2244 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2092(a,1),2243(a,1,2,1,2))]. 2245 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2244(a,1,2,1))]. 2246 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(220,a,1846,a(flip),b,2106,a(flip))]. 2247 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2190(a,1),2246(a,1,2))]. 2248 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(220,a,1606,a(flip),b,2247,a(flip))]. 2249 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1834(a,1),2213(a,1,1,2)),flip(a)]. 2250 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(55(a,1),2249(a,2,1))]. 2251 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(220,a,381,a(flip),b,2250,a)]. 2254 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2251(a,1),234(a,1,2)),flip(a)]. 2255 ((x * L(x \ 1,y,z)) \ x) \ x = x * L(x \ 1,y,z). [hyper(71,a,15,a(flip),b,2254,a)]. 2256 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2255(a,1),86(a,1,2)),flip(b)]. 2257 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1665(a,1),1360(a,1,2,1))]. 2258 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(18(a,1),2257(a,1,2)),flip(a)]. 2260 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2189(a,1),1273(a,1,1,2))]. 2261 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(833(a,1),2260(a,1,1,2)),flip(a)]. 2262 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(838(a,1),2261(a,2,1))]. 2263 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(586(a,1),2262(a,1,1))]. 2264 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(714(a,1),1578(a,2,1))]. 2265 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(220,a,2224,a(flip),b,2264,a)]. 2266 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1950(a,1),1579(a,2,2,1))]. 2267 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(18(a,1),2266(a,2,2))]. 2268 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(220,a,2265,a(flip),b,2267,a(flip)),flip(a)]. 2270 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2268(a,1),17(a,1,2))]. 2271 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * ((1 / x) * R((1 / x) \ y,z,u)). [para(1764(a,1),1777(a,2,2,2,1,1))]. 2272 K(x,x \ 1) * R(K(x,x \ 1) \ (x * y),z,u) = x * (R(y * x,z,u) / x). [para(983(a,1),2271(a,2,2))]. 2273 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(931(a,1),1990(a,2,2,1))]. 2274 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1361(a,1),2273(a,1,1)),flip(a)]. 2275 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(220,a,1552,a(flip),b,2274,a(flip)),flip(a)]. 2276 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(220,a,1758,a(flip),b,2275,a(flip)),flip(a)]. 2277 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,1903,a,b,2276,a),flip(a)]. 2278 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1760,a(flip),b,2277,a)]. 2279 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(220,a,2248,a(flip),b,2277,a(flip)),flip(a)]. 2280 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2278(a,1),17(a,1,2))]. 2281 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(191(a,1),2278(a,1,2))]. 2282 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(220,a,2263,a(flip),b,2279,a(flip))]. 2283 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1164(a,1),2281(a,1,1))]. 2284 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(2185,a,2283,a),flip(a)]. 2285 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2284(a,1),66(a,1,1)),flip(a)]. 2286 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(119(a,1),2284(a,1,2,1))]. 2287 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(256(a,1),2284(a,1,2,1)),flip(a)]. 2288 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(220,a,560,a(flip),b,2285,a(flip))]. 2290 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2287(a,1),63(a,1,2))]. 2291 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(66(a,1),2288(a,2,1,1))]. 2292 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2288(a,2),118(a,1,2))]. 2293 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(120(a,1),2288(a,1,1,1)),flip(a)]. 2295 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(220,a,1740,a,b,2290,a(flip)),flip(a)]. 2296 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(120(a,1),2290(a,1,2,2)),flip(a)]. 2297 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(629,a,2292,a)]. 2298 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(120(a,1),2292(a,1,2,1,1)),flip(a)]. 2299 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(441(a,1),2292(a,1,2,1,1)),flip(a)]. 2300 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(220,a,119,a,b,2297,a)]. 2301 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(220,a,912,a,b,2297,a(flip)),flip(a)]. 2302 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2293(a,1),155(a,1,1,2))]. 2303 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2296(a,1),118(a,1,2)),flip(a)]. 2304 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2296(a,1),155(a,1,1,2))]. 2306 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2301(a,1),17(a,1,2))]. 2308 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(573,a,2306,a)]. 2309 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1087,a,2298,a)]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2302(a,1,1,2,1,1))]. 2311 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(16(a,1),2304(a,1,1,2,2,2))]. 2312 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2309(a,2,1,1))]. 2313 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2312(a,2),255(a,1))]. 2314 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2313,a,1807,a),flip(a)]. 2315 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2314(a,1),118(a,1,2))]. 2316 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(220,a,393,a(flip),b,1650,a)]. 2317 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(173(a,1),2316(a,2,2))]. 2318 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. [para(628(a,1),2060(a,1,1)),flip(a)]. 2319 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. [para(792(a,1),2318(a,2,1,2))]. 2320 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. [para(99(a,1),2319(a,2,1,2))]. 2321 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1166(a,1,2,1,1))]. 2322 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(867,a,2321,a),flip(a)]. 2323 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(860(a,1),2322(a,2,2))]. 2324 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(388,a,2323,a),flip(a)]. 2325 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(220,a,981,a(flip),b,2324,a(flip))]. 2326 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1845(a,1),2325(a,1,1,2)),flip(a)]. 2327 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(220,a,2206,a(flip),b,2326,a)]. 2328 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,179,a(flip),b,2327,a)]. 2330 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(66(a,1),2328(a,1,1))]. 2331 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(874(a,1),2330(a,1,2))]. 2332 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2331(a,1),19(a,1,1))]. 2333 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2256,a,2332,a)]. 2334 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1916(a,1),2333(a,1,1)),flip(a)]. 2335 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(220,a,1967,a(flip),b,1971,a)]. 2336 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1448(a,1),2197(a,1,1,2,1))]. 2337 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1675(a,1),2336(a,1,1,2)),flip(a)]. 2339 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(31(a,2),1347(a,2,2,1,1))]. 2340 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(863(a,1),2339(a,1,2))]. 2341 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(739(a,1),2340(a,1,2,2))]. 2342 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(396,a,2341,a),flip(a)]. 2344 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(642(a,1),2342(a,2,1,2))]. 2345 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1924(a,1),2342(a,1,2))]. 2346 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1301(a,1),2344(a,1,2))]. 2347 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(141(a,1),2346(a,2,1,2))]. 2348 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1760(a,2),2347(a,2,1))]. 2350 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(15(a,1),2345(a,1,2,2)),flip(a)]. 2351 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2221(a,1),2350(a,1,1)),flip(a)]. 2352 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(33(a,2),1365(a,2,2,1,1))]. 2353 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1643(a,1),2352(a,1,1))]. 2354 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1647(a,1),2353(a,1,1,1))]. 2355 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(429,a,2354,a),flip(a)]. 2356 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(220,a,992,a(flip),b,2355,a(flip))]. 2357 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(553(a,1),2355(a,2,1,2))]. 2358 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,2357,a(flip))]. 2359 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(14(a,1),2358(a,1,1,2,1)),flip(a)]. 2360 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1677(a,1),2356(a,1,1,2)),flip(a)]. 2361 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,2199,a(flip),b,2360,a)]. 2363 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(114(a,1),1368(a,1,1,1,2,2)),flip(a)]. 2364 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(220,a,720,a(flip),b,2363,a)]. 2365 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(220,a,1964,a(flip),b,2364,a)]. 2366 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(720(a,1),2365(a,1,1))]. 2367 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1977(a,1),2366(a,2,1))]. 2368 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,114,a,b,2367,a)]. 2369 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1354,a,2368,a),flip(a)]. 2370 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2368(a,1,2,1)),flip(a)]. 2371 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,1760,a,b,2370,a)]. 2372 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(987(a,1),2371(a,1,1,2,1))]. 2373 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1393(a,1,2,1,2,1))]. 2374 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(220,a,1060,a(flip),b,2373,a(flip))]. 2375 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1390(a,1),2374(a,2,2))]. 2376 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(388,a,2375,a),flip(a)]. 2377 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(78,a,2375,a)]. 2378 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2376(a,1,2,1)),flip(a)]. 2379 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,1760,a,b,2378,a)]. 2380 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1926(a,1),2379(a,1,1))]. 2381 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(220,a,2351,a,b,2380,a(flip)),flip(a)]. 2382 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1760,a(flip),b,2381,a)]. 2383 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(220,a,2334,a,b,2382,a(flip)),flip(a)]. 2384 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2383(a,1),63(a,1,2)),flip(a)]. 2385 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(63(a,1),2383(a,1,1,1,2)),flip(a)]. 2386 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [para(136(a,1),2383(a,1,1,1)),flip(a)]. 2387 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(217(a,1),2384(a,2,2,2))]. 2388 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2384(a,1),176(a,1,1))]. 2389 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2385(a,1),66(a,1,1))]. 2390 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(150(a,1),2385(a,1,2)),flip(a)]. 2391 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2390(a,1),63(a,1,2)),flip(a)]. 2392 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(17(a,1),2391(a,2,2,2,1))]. 2393 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(63(a,1),2391(a,1,1))]. 2394 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(2386(a,1),66(a,1,1)),flip(a)]. 2395 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(220,a,2270,a,b,2392,a(flip)),flip(a)]. 2396 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2392(a,1),694(a,1,1))]. 2397 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(20,a,1740,a,b,2395,a),flip(a)]. 2398 (x \ (x * y)) * K(L(y \ 1,y,x),x \ (x * y)) = 1 / (1 / (x \ (x * y))). [para(150(a,2),2395(a,1,2,1))]. 2399 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(220,a,580,a(flip),b,2397,a)]. 2400 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(160,a,2396,a,b,xx)]. 2401 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(21,a,1843,a,b,2396,a),flip(a)]. 2403 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1251(a,2),2400(a,1,1,2,2))]. 2404 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2400(a,1),2287(a,1,1)),flip(a)]. 2405 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),2404(a,1,2,2))]. 2406 1 / T(K(x,y),(x * y) \ (y * x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2404(a,1,2,1))]. 2407 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(2404(a,1),66(a,1,1)),flip(a)]. 2408 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(66(a,1),2404(a,1,2,2))]. 2409 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2407(a,1),1170(a,1,2)),flip(a)]. 2410 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1251(a,2),2407(a,1,1))]. 2411 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2407(a,2),2302(a,1,1,2))]. 2412 ((x \ (x / y)) \ 1) \ 1 != z | T(x \ (x / y),y) = z. [para(2408(a,1),207(a,1,1)),flip(b)]. 2413 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2401(a,1),1898(a,1,2)),flip(a)]. 2414 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(583,a,2411,a)]. 2415 T(x / y,y / x) = T(x / y,x \ y). [hyper(220,a,1800,a,b,2414,a),flip(a)]. 2416 T(x / y,(x / y) \ 1) = T(x / y,x \ y). [hyper(220,a,119,a,b,2414,a),flip(a)]. 2417 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(16(a,1),2414(a,1,2))]. 2418 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2415(a,1),175(a,1,1))]. 2419 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(220,a,175,a(flip),b,2418,a(flip))]. 2420 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(220,a,2407,a(flip),b,2419,a)]. 2421 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(63(a,1),2420(a,1,2))]. 2422 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(66(a,1),2388(a,2,1))]. 2423 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2422(a,1),41(a,1,1)),flip(a)]. 2424 K(1 / ((x * y) \ x),(x * y) \ x) = K(y,(x * y) \ x). [hyper(220,a,1786,a,b,2399,a(flip)),flip(a)]. 2425 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2399(a,1),1172(a,1,2))]. 2427 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2397(a,1),2409(a,1,2))]. 2428 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2387(a,1),103(a,1,2))]. 2429 1 / T(K(x,y),K(y,x)) = ((y * x) \ (x * y)) \ 1. [para(29(a,2),2406(a,1,2,2))]. 2430 1 / T(K(x,y),K(y,x)) = K(x,y) \ 1. [para(29(a,2),2429(a,2,1))]. 2432 1 / K(x,y) = K(x,y) \ 1. [para(2120(a,1),2430(a,1,2))]. 2433 (K(x,y) \ 1) * K(x,y) = 1. [para(2432(a,1),19(a,1,1))]. 2434 1 / (1 / K(x,y)) = K(x,y). [para(2432(a,2),63(a,1,2))]. 2435 (K(x,y) \ 1) \ 1 = K(x,y). [para(2432(a,1),66(a,1,1))]. 2439 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2434(a,1),2287(a,1,1,1)),flip(a)]. 2442 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2434(a,1),2403(a,1,1))]. 2443 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(220,a,2442,a(flip),b,2410,a(flip))]. 2444 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2443(a,1),63(a,1,2))]. 2445 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(220,a,2186,a,b,2444,a),flip(a)]. 2446 x * K(L(x \ 1,x,y),y \ (y * x)) = 1 / (1 / (y \ (y * x))). [para(16(a,1),2398(a,1,1))]. 2447 1 / (1 / (x \ (x * y))) = y * K(L(y \ 1,y,x),y). [para(16(a,1),2446(a,1,2,2)),flip(a)]. 2448 x * K(L(x \ 1,x,y),x) = 1 / (1 / x). [para(16(a,1),2447(a,1,2,2)),flip(a)]. 2449 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(20,a,1740,a,b,2448,a)]. 2450 K((x * y) \ x,y) = K(y \ 1,y). [para(150(a,1),2449(a,1,1))]. 2451 K(x \ (x / y),y) = K(y \ 1,y). [para(299(a,1),2449(a,1,1))]. 2452 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(118(a,1),2450(a,1,1,1)),flip(a)]. 2453 (x * ((y * x) \ y)) * K(x \ 1,x) = ((y * x) \ y) * x. [para(2450(a,1),98(a,1,2))]. 2454 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1136(a,1),2451(a,1,1,2)),flip(a)]. 2455 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(35(a,1),2452(a,2,2)),flip(a)]. 2456 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(220,a,295,a,b,2453,a)]. 2458 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2455(a,1),2427(a,1,2)),flip(a)]. 2459 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(220,a,1895,a,b,2456,a)]. 2460 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,2133,a,b,2459,a),flip(a)]. 2461 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(179(a,1),2460(a,1,1))]. 2462 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(220,a,1869,a,b,2461,a(flip)),flip(a)]. 2463 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(21,a,2453,a(flip),b,2462,a),flip(a)]. 2464 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(150(a,1),2463(a,2,2,2)),flip(a)]. 2465 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(220,a,15,a,b,2464,a)]. 2466 (x \ 1) \ L(x \ 1,x,y) = x * ((y * x) \ y). [hyper(71,a,150,a,b,2464,a)]. 2467 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1947,a,2465,a(flip))]. 2468 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2467,a(flip),b,2074,a(flip)),flip(a)]. 2470 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(220,a,119,a,b,2468,a)]. 2471 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2468,a(flip),b,1955,a),flip(a)]. 2474 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(220,a,1761,a(flip),b,2471,a)]. 2475 K(x,(y * x) \ y) = K(x,1 / x). [hyper(220,a,1465,a(flip),b,2471,a)]. 2476 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),2474(a,1,2,1)),flip(a)]. 2477 K(x,y \ (y / x)) = K(x,x \ 1). [para(19(a,1),2474(a,1,2,1))]. 2478 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(935(a,2),2474(a,1,2,1))]. 2479 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2474(a,1),2425(a,1,2))]. 2480 K(1 / ((x * y) \ x),(x * y) \ x) = K(y,1 / y). [hyper(220,a,2424,a,b,2475,a(flip)),flip(a)]. 2481 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(220,a,581,a,b,2477,a(flip)),flip(a)]. 2482 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1766,a,2476,a)]. 2483 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2476(a,1),2413(a,1,2))]. 2484 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2468(a,1),2479(a,2,2))]. 2485 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2470(a,1),2479(a,2,2))]. 2487 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(271,a,2484,a),flip(a)]. 2488 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(220,a,1874,a,b,2484,a(flip)),flip(a)]. 2489 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(118(a,1),2484(a,1,1))]. 2491 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(271,a,2485,a),flip(a)]. 2492 x * K(x,x \ 1) = T(x,x \ 1). [hyper(2153,a,2485,a(flip))]. 2493 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(71,a,2485,a(flip),b,1874,a)]. 2494 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(220,a,2300,a,b,2492,a),flip(a)]. 2495 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2492(a,1),33(a,2,1,1)),flip(a)]. 2496 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1997,a,2494,a)]. 2497 T(x,K(y,y \ 1)) = x. [hyper(38,a,2496,a)]. 2498 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2496,a(flip),b,1994,a)]. 2499 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2496(a,1),118(a,1,2)),flip(a)]. 2501 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2496(a,1),213(a,1,2))]. 2505 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2497(a,1),162(a,1,2))]. 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2497(a,1),213(a,1,2))]. 2507 T(x,K(y,1 / y)) = x. [para(1758(a,2),2497(a,1,2))]. 2508 T(x,K(y \ 1,y)) = x. [para(1763(a,1),2497(a,1,2))]. 2510 T(x,K(y \ z,z \ y)) = x. [para(2476(a,1),2497(a,1,2))]. 2511 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2085,a,2507,a),flip(a)]. 2513 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2085,a,2508,a),flip(a)]. 2514 T(T(x,K(y,y \ 1)),K(z \ 1,z)) = x. [hyper(220,a,2497,a(flip),b,2508,a)]. 2515 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(38,a,2508,a)]. 2516 (x * K(y \ 1,y)) / x = K(y \ 1,y). [hyper(72,a,2215,a(flip),b,2508,a(flip))]. 2518 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2508(a,1),213(a,1,2))]. 2519 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [para(2508(a,1),869(a,2,1))]. 2520 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2085,a,2510,a),flip(a)]. 2521 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(220,a,1619,a,b,2515,a(flip)),flip(a)]. 2522 T((x \ 1) * x,y) = K(x \ 1,x). [para(179(a,1),2515(a,1,1))]. 2523 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2515(a,1),213(a,1,2))]. 2525 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2515(a,1),2230(a,1,1))]. 2526 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(220,a,2485,a(flip),b,2499,a)]. 2527 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(220,a,2484,a(flip),b,2499,a)]. 2528 (K(x,x \ 1) * y) / z = (y * K(x,x \ 1)) / z. [hyper(72,a,2499,a,b,19,a)]. 2529 (x * y) * K(x,x \ 1) = x * (K(x,x \ 1) * y). [hyper(220,a,1852,a(flip),b,2499,a(flip))]. 2530 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2499(a,2),33(a,2,2)),flip(a)]. 2531 R(x,K(y,y \ 1),z) * (K(y,y \ 1) * z) = (K(y,y \ 1) * x) * z. [para(2499(a,2),114(a,2,1))]. 2532 K((x \ y) \ 1,x \ y) * x = y * T(y \ x,x \ y). [hyper(220,a,1170,a,b,2513,a)]. 2533 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,y,K(z \ 1,z)). [hyper(71,a,2513,a,b,94,a)]. 2534 (K(x \ 1,x) * y) * z = (y * K(x \ 1,x)) * z. [hyper(25,a,2513,a)]. 2535 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(24,a,2513,a)]. 2537 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2513(a,1),22(a,2))]. 2538 L(x \ (K(y \ 1,y) \ z),x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ z. [para(2513(a,1),217(a,2,1))]. 2539 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2513(a,2),537(a,1,1))]. 2540 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2513(a,1),654(a,1,2))]. 2541 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * T(y,K(z \ 1,z))) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2513(a,2),163(a,1,2,1))]. 2542 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2515(a,2),2513(a,2,2)),flip(a)]. 2543 K(x \ (x / ((y * x) / y)),x) = K(x \ 1,x). [hyper(220,a,1276,a,b,2516,a(flip)),flip(a)]. 2544 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2516(a,1),271(a,1,1,1))]. 2547 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2521(a,1),1252(a,1,1))]. 2548 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2521(a,2),1740(a,1,2))]. 2549 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2288(a,1),2487(a,1,2))]. 2550 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2306,a(flip),b,2488,a),flip(a)]. 2551 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(72,a,278,a(flip),b,2488,a),flip(a)]. 2552 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2488(a,1),23(a,1))]. 2554 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1768(a,2),2488(a,2,2))]. 2555 L(x,K(x,x \ 1),y) = x. [hyper(1783,a,2493,a)]. 2557 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2555(a,1),2384(a,2,2,2))]. 2559 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(220,a,1801,a(flip),b,2526,a)]. 2562 K(x,x \ 1) * (y * x) != z | y * T(x,x \ 1) = z. [para(2527(a,2),573(a,1))]. 2563 L(K(x \ 1,x),y,z) * (z * y) = z * (K(x \ 1,x) * y). [para(2542(a,1),526(a,1,2)),flip(a)]. 2565 x * (L(x,y,z) * (1 / x)) != u | L(x,y,z) * K(x,x \ 1) = u. [para(2041(a,1),2506(a,1))]. 2567 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(220,a,2023,a(flip),b,2557,a(flip)),flip(a)]. 2569 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2567(a,1),266(a,1,2)),flip(a)]. 2572 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2481(a,1),2483(a,1,2))]. 2573 (K(x \ 1,x) * y) \ z = (y * K(x \ 1,x)) \ z. [hyper(318,a,2534,a),flip(a)]. 2575 x \ ((K(y \ 1,y) * z) * u) = x \ ((z * K(y \ 1,y)) * u). [hyper(71,a,2534,a,b,17,a)]. 2576 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [hyper(71,a,2534,a(flip),b,103,a)]. 2577 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2534(a,2),31(a,2,1)),flip(a)]. 2579 ((K(x \ 1,x) * y) * z) \ ((y * K(x \ 1,x)) * (z * u)) != w | L(u,z,K(x \ 1,x) * y) = w. [para(2534(a,1),396(a,1,2))]. 2580 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(20,a,1909,a,b,2550,a),flip(a)]. 2581 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(220,a,2496,a,b,2580,a),flip(a)]. 2583 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2581(a,1),146(a,1)),flip(b)]. 2584 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2282(a,1),2581(a,1,1))]. 2585 R(x,K(y,y \ 1),y) = x. [hyper(418,a,2554,a)]. 2586 R(x,K(y \ 1,y),1 / y) = x. [para(1763(a,1),2585(a,1,2))]. 2587 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2586(a,1),1744(a,1,1)),flip(a)]. 2588 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(72,a,19,a(flip),b,2587,a),flip(a)]. 2589 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(21,a,1155,a(flip),b,2587,a)]. 2591 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2523,a,2588,a)]. 2592 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2523,a,2589,a)]. 2593 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1531,a,2589,a)]. 2594 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1022,a,2589,a)]. 2595 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(271,a,2589,a),flip(a)]. 2596 R(x / (1 / y),y \ 1,y) = x * y. [hyper(984,a,2593,a)]. 2597 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(876,a,2593,a),flip(a)]. 2598 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2593(a,1),19(a,1,1))]. 2599 R((x * (y / (1 / z))) / x,z \ 1,z) = (x * (y * z)) / x. [hyper(220,a,732,a(flip),b,2597,a(flip))]. 2600 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(220,a,513,a(flip),b,2597,a(flip))]. 2601 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(63(a,1),2597(a,1,2)),flip(a)]. 2602 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2596(a,1),1684(a,1,1,2))]. 2603 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2014(a,1),2596(a,1,1)),flip(a)]. 2604 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(689,a,2598,a)]. 2605 R(x / (1 / y),y \ 1,y) != z | x * y = z. [para(2598(a,1),271(a,1))]. 2606 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2587(a,1),2598(a,1,1)),flip(a)]. 2607 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2414(a,1),2600(a,1,1)),flip(a)]. 2608 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1005(a,1),2606(a,2,1))]. 2610 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(220,a,2569,a(flip),b,2572,a(flip))]. 2611 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2569,a(flip),b,2572,a(flip)),flip(a)]. 2612 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(72,a,2610,a(flip),b,2303,a)]. 2613 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(63(a,1),2610(a,1,2,2,2,2)),flip(a)]. 2614 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(63(a,1),2611(a,2,2,2,2))]. 2615 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2611(a,1),66(a,1,1))]. 2617 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(63(a,1),2612(a,1,1,2,2)),flip(a)]. 2618 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2613(a,2,2,2,2))]. 2619 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2613(a,1),66(a,1,1))]. 2620 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(136(a,1),2615(a,1,1,2,2)),flip(a)]. 2621 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2617(a,1),66(a,1,1)),flip(a)]. 2622 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2393(a,2),2618(a,1,2))]. 2623 x / L(y,y \ 1,x) = x * (1 / y). [para(63(a,1),2622(a,2,2,2))]. 2624 (x * (1 / y)) * L(y,y \ 1,x) = x. [para(2623(a,1),19(a,1,1))]. 2625 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2623(a,1),66(a,1,1)),flip(a)]. 2626 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2623(a,2),580(a,1,1,2))]. 2627 x / L(y,y \ 1,x) != z | x * (1 / y) = z. [para(2624(a,1),272(a,1,1)),flip(b)]. 2628 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(220,a,153,a,b,2625,a),flip(a)]. 2629 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(220,a,2203,a,b,2626,a(flip)),flip(a)]. 2630 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(66(a,1),2629(a,1,2))]. 2631 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(35(a,2),2619(a,1,1,2,2,2))]. 2632 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2620(a,1),66(a,1,1))]. 2633 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(2412,a,2632,a)]. 2634 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2633(a,2),17(a,1,2))]. 2635 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(66(a,1),2633(a,2,2,2,1))]. 2636 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2633(a,1),118(a,1,2))]. 2637 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(220,a,973,a,b,2634,a(flip)),flip(a)]. 2638 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2637(a,1),1527(a,1,1))]. 2639 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2638(a,1,1)),flip(a)]. 2640 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(568(a,1),2638(a,1,1)),flip(a)]. 2641 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(1067(a,1),2638(a,1,1)),flip(a)]. 2642 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(21,a,428,a,b,2639,a)]. 2643 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(21,a,1529,a(flip),b,2639,a)]. 2644 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2523,a,2640,a)]. 2645 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2640(a,1),23(a,1)),flip(a)]. 2646 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2640(a,1),2587(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2552,a,2643,a)]. 2648 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2488,a(flip),b,2643,a)]. 2649 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [hyper(220,a,2534,a,b,2643,a(flip)),flip(a)]. 2650 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2501,a,2647,a)]. 2651 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(231,a,2647,a)]. 2652 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(21,a,2569,a,b,2647,a)]. 2653 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(21,a,2499,a(flip),b,2647,a)]. 2655 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(220,a,2534,a,b,2647,a(flip)),flip(a)]. 2656 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(71,a,2647,a(flip),b,2534,a)]. 2657 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(21,a,2534,a,b,2647,a(flip)),flip(a)]. 2660 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2589(a,1),2647(a,1,1))]. 2664 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2648(a,1),115(a,2,1))]. 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2648(a,1),2537(a,2)),flip(b)]. 2666 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(220,a,2535,a,b,2650,a(flip)),flip(a)]. 2667 K(x \ 1,x) * (y * K(x,x \ 1)) = T(y,K(x,x \ 1)). [hyper(160,a,2650,a(flip),b,2535,a),flip(a)]. 2668 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(71,a,2650,a(flip),b,2535,a)]. 2669 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(20,a,2535,a,b,2650,a(flip)),flip(a)]. 2670 K(x,x \ 1) \ y != z | y * K(x \ 1,x) = z. [para(2650(a,1),209(a,1,2)),flip(b)]. 2671 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2650(a,1),105(a,2,2))]. 2672 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2588(a,1),2650(a,1,2))]. 2673 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2589(a,1),2650(a,1,2))]. 2674 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(71,a,2653,a(flip),b,2513,a)]. 2675 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2653(a,1),23(a,1)),flip(a)]. 2676 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2653(a,1),115(a,2,1))]. 2677 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2653(a,1),2537(a,2)),flip(b)]. 2678 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2653(a,1),2587(a,1,1)),flip(a)]. 2679 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(21,a,1813,a(flip),b,2655,a)]. 2683 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2655(a,1),2505(a,2))]. 2686 K(x,x \ 1) * (K(x \ 1,x) * y) != z | z = y. [para(2668(a,1),208(a,1,2))]. 2688 K(x,x \ 1) * R(K(x \ 1,x) * (x * y),z,u) = x * (R(y * x,z,u) / x). [para(2668(a,1),2272(a,1,2,1))]. 2689 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2674(a,1),2136(a,1,2,1))]. 2690 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2674(a,1),2236(a,1,2,1))]. 2691 (x / T(y,y \ 1)) * y = K(y \ 1,y) * x. [para(19(a,1),2644(a,1,2)),flip(a)]. 2692 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(72,a,2652,a(flip),b,2595,a),flip(a)]. 2693 (x * (1 / (1 / y))) / y = x * K(y \ 1,y). [para(18(a,1),2652(a,1,1)),flip(a)]. 2697 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2660(a,1),421(a,1,1))]. 2698 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2290(a,1),2672(a,1,2,2))]. 2699 (x / (y \ 1)) * (1 / y) = K(y,y \ 1) * x. [para(19(a,1),2673(a,1,2)),flip(a)]. 2700 (x * y) * K(y \ 1,y) = x * L(y,y \ 1,y). [hyper(220,a,1936,a(flip),b,2693,a(flip))]. 2701 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(431,a,2642,a)]. 2702 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2642(a,1),149(a,1,2)),flip(a)]. 2703 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(220,a,2597,a,b,2701,a)]. 2704 (x * (y \ 1)) * T(y,y \ 1) = R(x,1 / y,y). [hyper(781,a,2703,a)]. 2705 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1452(a,2),2703(a,1,3))]. 2707 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(220,a,1805,a(flip),b,2679,a)]. 2708 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1746(a,1),2700(a,2,2))]. 2709 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2675,a,2708,a)]. 2711 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2523,a,2708,a)]. 2713 R(x / (y \ 1),1 / y,y) = x * T(y,y \ 1). [hyper(271,a,2704,a),flip(a)]. 2714 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2713(a,1),177(a,1,1))]. 2715 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2315(a,1),2646(a,1,1)),flip(a)]. 2717 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(220,a,2275,a,b,2584,a(flip))]. 2718 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2290(a,1),2631(a,1,1,2))]. 2720 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(21,a,1768,a,b,2707,a),flip(a)]. 2721 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y \ 1,y) \ 1. [para(2720(a,1),1789(a,2,1))]. 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2583,a,2717,a)]. 2724 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(191(a,1),2722(a,2,2))]. 2725 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(220,a,2282,a(flip),b,2724,a(flip)),flip(a)]. 2726 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(118(a,1),2718(a,1,1)),flip(a)]. 2727 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2726(a,1),66(a,1,1))]. 2728 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(63(a,1),2727(a,1,1,1,1,2)),flip(a)]. 2729 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2728(a,1),66(a,1,1))]. 2730 ((((1 / ((x / y) \ 1)) * y) \ y) \ 1) \ 1 = (y * (((y \ x) \ 1) \ 1)) \ y. [para(2298(a,1),2729(a,2,1))]. 2732 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(833(a,1),2630(a,1,1))]. 2733 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(220,a,716,a(flip),b,2732,a(flip))]. 2734 T(K(1 / (1 / x),y),x) = K(x,y). [para(2733(a,2),154(a,1,1))]. 2736 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(191(a,1),2734(a,1,1,1,2))]. 2737 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(63(a,1),2736(a,1,1,1))]. 2738 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(220,a,1634,a(flip),b,2737,a(flip))]. 2739 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(119(a,1),2738(a,1,1)),flip(a)]. 2742 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1134(a,1),2478(a,1,2))]. 2743 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(220,a,2476,a(flip),b,2742,a)]. 2744 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2282(a,1),2489(a,1,2))]. 2745 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(220,a,2292,a(flip),b,2744,a)]. 2746 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2725(a,1),2745(a,1,2))]. 2747 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(63(a,1),2705(a,2,2))]. 2748 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(119(a,2),2747(a,1,2))]. 2750 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(192(a,1),2549(a,1,1)),flip(a)]. 2751 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ 1) = K(y,y \ 1). [hyper(220,a,339,a(flip),b,2721,a)]. 2752 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(220,a,1765,a(flip),b,2751,a(flip)),flip(a)]. 2753 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2752(a,1),1799(a,1,1))]. 2754 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(555,a,2753,a),flip(a)]. 2755 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(220,a,240,a(flip),b,2753,a)]. 2756 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(220,a,1852,a(flip),b,2753,a(flip)),flip(a)]. 2757 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2753,a(flip),b,1852,a(flip))]. 2758 L(x,y,K(y,y \ 1)) = x. [hyper(20,a,1782,a,b,2753,a(flip)),flip(a)]. 2761 K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x). [para(118(a,1),2753(a,1,2))]. 2763 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(2753(a,1),2505(a,1)),flip(b)]. 2765 L(x,1 / y,K(y \ 1,y)) = x. [para(1763(a,1),2758(a,1,3))]. 2766 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(220,a,1902,a(flip),b,2765,a(flip)),flip(a)]. 2767 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(220,a,1743,a(flip),b,2765,a(flip)),flip(a)]. 2768 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1762(a,1),2765(a,1,3))]. 2769 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2765(a,1),1742(a,1,2)),flip(a)]. 2770 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2765(a,1),1816(a,1,1,2))]. 2771 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(220,a,2024,a(flip),b,2768,a(flip)),flip(a)]. 2772 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(220,a,132,a(flip),b,2770,a)]. 2773 (1 / x) * (x * y) = L(y,x,x \ 1). [para(16(a,1),2770(a,1,1)),flip(a)]. 2774 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(35(a,2),2770(a,1,1))]. 2775 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(331(a,1),2770(a,1,1))]. 2776 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2770(a,1),529(a,1,2))]. 2777 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(2770(a,1),508(a,1,2))]. 2778 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2770(a,1),2160(a,1,2))]. 2779 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(492,a,2773,a)]. 2780 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(78,a,2773,a)]. 2781 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2773(a,1),237(a,1,1))]. 2782 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2773(a,1),2729(a,1,1,1,1))]. 2783 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(63(a,1),2779(a,1,3)),flip(a)]. 2784 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(926,a,2754,a),flip(a)]. 2785 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(592,a,2754,a)]. 2786 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [hyper(71,a,2650,a(flip),b,2754,a),flip(a)]. 2787 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2683,a,2755,a)]. 2788 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2506,a,2755,a)]. 2789 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(71,a,17,a(flip),b,2755,a),flip(a)]. 2790 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(220,a,1852,a(flip),b,2755,a(flip)),flip(a)]. 2795 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2499(a,1),2756(a,1,2))]. 2796 R(x,K(x,x \ 1),y) = x. [hyper(220,a,2495,a(flip),b,2757,a(flip)),flip(a)]. 2798 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1763(a,1),2796(a,1,2))]. 2799 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2798(a,1),2195(a,1,1)),flip(a)]. 2800 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2677,a,2766,a)]. 2801 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2518,a,2766,a)]. 2803 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2766(a,1),1900(a,1,2))]. 2806 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = y. [para(2767(a,2),17(a,1,2))]. 2807 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2767(a,1),1509(a,1,2,2,1,2))]. 2808 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2677,a,2769,a)]. 2809 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2518,a,2769,a)]. 2810 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2769(a,1),33(a,2,2)),flip(a)]. 2811 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2769(a,1),449(a,1,1))]. 2812 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2769(a,1),390(a,1,1))]. 2815 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1855,a,2771,a)]. 2817 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2771(a,1),17(a,1,2))]. 2818 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1435(a,1),2777(a,1,2))]. 2819 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2683,a,2784,a)]. 2821 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(119(a,1),2784(a,1,2,1))]. 2822 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(71,a,2666,a(flip),b,2785,a),flip(a)]. 2823 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(20,a,1098,a,b,2787,a)]. 2825 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2787(a,1),2537(a,1)),flip(a)]. 2826 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(20,a,2746,a,b,2788,a),flip(a)]. 2828 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(220,a,2724,a,b,2826,a(flip)),flip(a)]. 2832 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(71,a,2828,a(flip),b,1760,a(flip))]. 2833 T(x,y) \ K(x,x \ 1) != z | 1 / T(x,y) = z. [para(2828(a,1),1774(a,1,2))]. 2834 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2828(a,1),2660(a,1,2))]. 2835 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(220,a,2498,a(flip),b,2832,a(flip)),flip(a)]. 2836 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(220,a,1772,a(flip),b,2832,a(flip)),flip(a)]. 2837 (1 / T(x,y)) * x = T(x,y) \ x. [para(2835(a,1),19(a,1,1))]. 2838 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(2835(a,2),66(a,1,1))]. 2839 T(1 / T(x,y),x) = T(x,y) \ 1. [para(2835(a,1),911(a,1,1))]. 2840 x / T(x,y) = T(x,y) \ x. [hyper(1120,a,2837,a)]. 2842 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(71,a,2840,a,b,905,a)]. 2843 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(220,a,1544,a,b,2840,a(flip)),flip(a)]. 2844 (T(x,y) \ x) * T(x,y) = x. [para(2840(a,1),19(a,1,1))]. 2845 (T(x,y) \ x) \ x = T(x,y). [para(2840(a,1),66(a,1,1))]. 2847 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2840(a,1),1592(a,1,1))]. 2848 L(x,T(x,y) \ x,x) = x. [hyper(220,a,2068,a,b,2844,a(flip)),flip(a)]. 2849 x / T(x,y) != z | T(x,y) \ x = z. [para(2844(a,1),272(a,1,1)),flip(b)]. 2851 (x * y) * T(K(y,x),x) = y * x. [para(2848(a,1),2067(a,1,2)),flip(a)]. 2852 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(220,a,2547,a,b,2839,a(flip)),flip(a)]. 2853 ((1 / T(x,y)) * x) \ (x * ((T(x,y) \ 1) * z)) = L(z,T(1 / T(x,y),x),x). [para(2839(a,1),166(a,1,2,2,1))]. 2854 K(T(x,y) \ 1,x) = T(K(x \ 1,x),y). [para(2842(a,1),1619(a,1,1))]. 2855 x * K(T(x,y) \ 1,x) = 1 / (1 / x). [para(2842(a,1),2548(a,1,2,1))]. 2856 T(K(x,y),y) = K(x,y). [hyper(236,a,2851,a),flip(a)]. 2857 T(x,K(y,x)) = x. [hyper(38,a,2856,a)]. 2858 K(x,y) * y = y * K(x,y). [para(2856(a,1),118(a,1,2)),flip(a)]. 2859 (x * K(y,x)) / x = K(y,x). [para(2856(a,1),155(a,1,1,2))]. 2861 K(x,K(y,x)) = 1. [hyper(39,a,2857,a)]. 2862 K(x,y) * y != z | y * K(x,y) = z. [para(2857(a,1),213(a,1,2))]. 2863 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2857(a,1),171(a,1,2,1)),flip(a)]. 2864 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2857(a,1),172(a,1,2,1)),flip(a)]. 2865 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2857(a,1),173(a,1,2,1)),flip(a)]. 2866 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2857(a,1),314(a,1,2,1))]. 2867 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2857(a,1),343(a,1,2,1,1)),flip(a)]. 2868 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(2857(a,1),539(a,1,2,1,1)),flip(a)]. 2869 T(x,y * T(y \ 1,x)) = x. [para(1246(a,1),2857(a,1,2))]. 2870 T(x,y \ T(y,x)) = x. [para(1251(a,1),2857(a,1,2))]. 2871 T(x,x \ ((y * x) / y)) = x. [para(1274(a,1),2857(a,1,2))]. 2872 T(x,T(K(y,x),z)) = x. [para(1621(a,1),2857(a,1,2))]. 2873 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2857(a,1),2245(a,1,2,1)),flip(a)]. 2874 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2870(a,1),118(a,1,2))]. 2875 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2870(a,1),171(a,1,2,1)),flip(a)]. 2876 (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). [hyper(220,a,1554,a,b,2858,a(flip)),flip(a)]. 2877 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(2858(a,1),103(a,1,1))]. 2879 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2858(a,1),418(a,2,2))]. 2880 L(K(x,y),y,1 / y) = K(x,y). [hyper(220,a,2102,a,b,2859,a(flip)),flip(a)]. 2881 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(220,a,1078,a,b,2859,a(flip)),flip(a)]. 2882 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2859(a,1),443(a,1,1,1))]. 2883 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2869,a)]. 2884 ((x * y) / x) / y = y \ ((x * y) / x). [para(2871(a,1),191(a,1,2))]. 2885 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(602,a,2880,a)]. 2886 (1 / x) \ K(y,x) = x * K(y,x). [hyper(71,a,2880,a(flip),b,183,a)]. 2887 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(71,a,2885,a(flip),b,132,a(flip)),flip(a)]. 2888 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2852(a,1),19(a,1,1))]. 2889 x * L(T(y,z),K(u,y),x / K(u,y)) = (x / K(u,y)) * (T(y,z) * K(u,y)). [para(2863(a,2),385(a,2,2))]. 2890 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(220,a,1202,a,b,2884,a(flip)),flip(a)]. 2891 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(718(a,1),2884(a,1,1)),flip(a)]. 2892 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(279,a,2888,a)]. 2893 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2888(a,1),1015(a,1,2))]. 2894 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2892(a,1),2295(a,1,2))]. 2895 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2892(a,1),2458(a,2,2))]. 2896 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2892(a,1),2711(a,1,1))]. 2897 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(2670,a,2789,a(flip)),flip(a)]. 2899 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2499(a,1),2790(a,1,2))]. 2901 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1237(a,1),2800(a,1,2))]. 2902 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2800(a,1),2678(a,1,1)),flip(a)]. 2903 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(220,a,2886,a(flip),b,2801,a)]. 2904 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(220,a,2513,a(flip),b,2803,a)]. 2906 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1604(a,1),2803(a,1,2)),flip(a)]. 2907 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2806(a,1),1012(a,1,2)),flip(a)]. 2908 (1 / x) * ((x \ 1) \ y) = y * K(x,x \ 1). [para(2657(a,1),2806(a,1,2,2))]. 2909 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1859,a,2808,a)]. 2910 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,2808,a(flip),b,2699,a)]. 2911 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2808(a,1),134(a,1,1,2))]. 2912 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2808(a,1),396(a,1,2,2))]. 2913 K(x,1 / x) * ((x \ 1) * y) = (1 / x) * y. [para(1758(a,2),2808(a,1,1))]. 2914 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(872,a,2909,a)]. 2915 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(63(a,1),2914(a,1,2)),flip(a)]. 2917 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2506,a,2815,a)]. 2918 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(72,a,2815,a(flip),b,2699,a)]. 2919 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(16(a,1),2817(a,1,2)),flip(a)]. 2920 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(99(a,1),2817(a,1,2)),flip(a)]. 2921 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(220,a,559,a(flip),b,2819,a)]. 2922 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [para(139(a,1),2819(a,1,2)),flip(a)]. 2924 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(20,a,2650,a,b,2821,a),flip(a)]. 2927 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1787(a,1),2822(a,1,2,1))]. 2928 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(71,a,2823,a(flip),b,2535,a(flip))]. 2929 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2823(a,1),29(a,2,1)),flip(a)]. 2931 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2865(a,1),22(a,1)),flip(a)]. 2932 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2883(a,1),1489(a,1,2)),flip(a)]. 2933 (x \ 1) \ ((y * (x \ 1)) / y) = x * ((y * (x \ 1)) / y). [hyper(269,a,2890,a),flip(a)]. 2934 T(1 / x,(y * x) / y) = x \ 1. [hyper(160,a,2890,a,b,1046,a)]. 2936 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2893(a,2),905(a,1,2))]. 2937 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2053,a,b,2894,a),flip(a)]. 2939 T(x,y) / x = x \ T(x,y). [hyper(78,a,2937,a),flip(a)]. 2940 (x \ T(x,y)) * x = T(x,y). [para(2937(a,1),67(a,1,1,2))]. 2941 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1084,a,2939,a)]. 2942 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(841,a,2939,a),flip(a)]. 2943 K(x \ (x / (1 / y)),x) = y \ T(y,x). [hyper(220,a,1250,a,b,2939,a(flip)),flip(a)]. 2944 (1 / x) * T(x,y) = x \ T(x,y). [hyper(220,a,834,a,b,2939,a(flip)),flip(a)]. 2945 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(220,a,1282,a(flip),b,2939,a(flip))]. 2946 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2939(a,1),214(a,1,1)),flip(b)]. 2947 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2939(a,1),115(a,1,1))]. 2948 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2939(a,1),2056(a,2,2))]. 2949 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2939(a,1),2134(a,1,1,2))]. 2950 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2939(a,1),2280(a,1,1))]. 2951 T(x,x \ T(x,y)) = x. [hyper(253,a,2940,a)]. 2952 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(220,a,1396,a,b,2940,a(flip)),flip(a)]. 2953 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2940(a,1),31(a,2,1)),flip(a)]. 2954 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(119(a,1),2940(a,1,1,2))]. 2955 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2940(a,1),103(a,1,1))]. 2956 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2940(a,1),429(a,1,1,1))]. 2957 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2940(a,1),788(a,1,1)),flip(a)]. 2958 K(x,x \ T(x,y)) = 1. [hyper(39,a,2951,a)]. 2959 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1251(a,2),2951(a,1,2))]. 2960 K(x,T(x,y) / x) = 1. [para(2939(a,2),2958(a,1,2))]. 2961 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2960,a(flip),b,969,a),flip(a)]. 2962 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(220,a,66,a(flip),b,2961,a)]. 2963 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(220,a,1286,a(flip),b,2961,a(flip)),flip(a)]. 2964 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2961(a,1),175(a,1,1)),flip(a)]. 2965 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2961(a,1),305(a,2,1))]. 2966 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2961(a,1),1253(a,1,1)),flip(a)]. 2967 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(220,a,1272,a(flip),b,2959,a(flip)),flip(a)]. 2968 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2962(a,1),1735(a,1,1)),flip(a)]. 2971 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2968(a,1),1537(a,1,1))]. 2972 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2968(a,1),2223(a,1,1,1))]. 2973 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(2943(a,1),1387(a,1,1))]. 2975 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2967(a,1),17(a,1,2))]. 2976 x / ((y * x) / y) = ((y * x) / y) \ x. [para(2967(a,1),63(a,1,2))]. 2977 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(987(a,1),2967(a,1,1,1,1))]. 2979 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(72,a,2976,a(flip),b,1201,a)]. 2980 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [para(2976(a,1),2543(a,1,1,2))]. 2983 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(155(a,1),2963(a,1,3,2))]. 2984 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2897(a,1),22(a,1))]. 2985 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(331(a,1),2897(a,1,2)),flip(a)]. 2986 ((x \ 1) * ((1 / x) \ y)) / (x \ 1) = y / (1 / x). [hyper(72,a,2904,a,b,2595,a)]. 2988 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(220,a,2535,a(flip),b,2907,a(flip)),flip(a)]. 2989 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2591(a,1),2907(a,1,2))]. 2990 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2657(a,1),2907(a,1,2)),flip(a)]. 2991 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2669(a,1),2907(a,1,2)),flip(a)]. 2992 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2644(a,1),2907(a,1,2)),flip(a)]. 2993 (1 / x) \ T(y * K(x,x \ 1),z) = x * T(x \ ((x \ 1) \ y),z). [para(2908(a,1),762(a,1,2,1))]. 2995 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(557,a,2915,a),flip(a)]. 2996 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [para(1758(a,2),2917(a,1,2))]. 2997 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2917(a,1),2488(a,1,1))]. 2998 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1858,a,2919,a),flip(a)]. 2999 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(20,a,2650,a,b,2919,a),flip(a)]. 3001 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2919(a,1),2678(a,1,1)),flip(a)]. 3002 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(220,a,1033,a(flip),b,2921,a(flip)),flip(a)]. 3003 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2921(a,1),2518(a,1))]. 3004 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2921(a,1),2649(a,1,1))]. 3005 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(220,a,887,a,b,2942,a),flip(a)]. 3006 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2942(a,1),633(a,2,1)),flip(a)]. 3008 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2964(a,1),2966(a,1,2)),flip(a)]. 3009 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(220,a,257,a(flip),b,3008,a)]. 3012 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3009(a,1),871(a,1,1,2))]. 3015 (1 / x) * (y * K(1 / x,x)) = (x \ 1) * y. [para(1786(a,2),2988(a,1,2,2))]. 3016 (x \ 1) * (y * K(x,1 / x)) = (1 / x) * y. [para(1758(a,2),2990(a,1,2,2))]. 3017 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2650(a,1),2998(a,1,2)),flip(a)]. 3018 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2666(a,1),2998(a,1,2)),flip(a)]. 3019 (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). [hyper(479,a,2999,a),flip(a)]. 3020 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2397(a,1),2999(a,1,2))]. 3021 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2421(a,1),3002(a,1,2))]. 3023 (x * K(1 / y,y)) * K(y,1 / y) = x. [hyper(20,a,3015,a(flip),b,3016,a)]. 3024 x / K(y,1 / y) = x * K(1 / y,y). [hyper(87,a,3023,a)]. 3025 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2652(a,1),3017(a,1,2)),flip(a)]. 3026 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2892(a,1),3018(a,1,2,1))]. 3027 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2776(a,1),2975(a,1,1,1,1))]. 3028 x * (T(x,y) \ (1 / x)) != z | 1 / T(x,y) = z. [para(1772(a,1),2833(a,1))]. 3029 T(x,y \ ((x * y) / x)) = x. [para(2945(a,1),2951(a,1,2))]. 3030 T(x,T(y,x) \ y) = x. [para(155(a,1),3029(a,1,2,2))]. 3031 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3030(a,1),118(a,1,2))]. 3033 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(220,a,1284,a,b,3031,a(flip)),flip(a)]. 3034 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3031(a,1),1596(a,1,1,2,1))]. 3035 L(x,x \ T(x,y),x) = x. [hyper(220,a,63,a(flip),b,2957,a)]. 3037 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2928(a,1),2995(a,1,1))]. 3038 K(1 / x,y) = K(x \ 1,y). [hyper(220,a,2629,a(flip),b,3006,a(flip)),flip(a)]. 3039 K(1 / (1 / x),y) = K(x,y). [hyper(220,a,581,a(flip),b,3038,a)]. 3040 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(220,a,29,a(flip),b,3038,a),flip(a)]. 3041 K((x \ 1) \ 1,y) = K(x,y). [para(63(a,1),3038(a,1,1)),flip(a)]. 3043 T(K(x,y),x) = K(x,y). [para(3039(a,1),2734(a,1,1))]. 3044 T(x,K(x,y)) = x. [hyper(38,a,3043,a)]. 3045 K(T(x,x \ 1),y) = K(x,y). [hyper(220,a,2738,a,b,3043,a(flip)),flip(a)]. 3046 K(x,y) * x = x * K(x,y). [para(3043(a,1),118(a,1,2)),flip(a)]. 3048 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3043(a,1),173(a,1,2,1)),flip(a)]. 3049 T(T(x,y),K(x,z)) = T(x,y). [para(3044(a,1),41(a,1,1)),flip(a)]. 3050 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3044(a,1),171(a,1,2,1)),flip(a)]. 3051 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3044(a,1),172(a,1,2,1)),flip(a)]. 3052 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3044(a,1),173(a,1,2,1)),flip(a)]. 3053 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(3044(a,1),243(a,1,1)),flip(a)]. 3054 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3044(a,1),354(a,1,1,2)),flip(a)]. 3056 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2389(a,1),3041(a,1,1)),flip(a)]. 3058 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2729(a,1),3041(a,1,1)),flip(a)]. 3060 T(K(x,y),T(x,z)) = K(x,y). [hyper(38,a,3049,a)]. 3064 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3050(a,2),22(a,1))]. 3065 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,3054,a)]. 3066 T(K(x \ y,z),y / x) = K(x \ y,z). [para(17(a,1),3065(a,1,2,1))]. 3067 T(x / y,K(y \ x,z)) = x / y. [hyper(38,a,3066,a)]. 3068 K(1 / x,y) != z | K(x \ 1,y) = z. [para(3040(a,1),239(a,1))]. 3070 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(678,a,3048,a),flip(a)]. 3071 T(x,R(K(x,y),z,u)) = x. [hyper(161,a,3048,a)]. 3072 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,3071,a)]. 3073 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(161,a,3051,a)]. 3074 L(x,y,z) * K(x,u) != w | K(x,u) * L(x,y,z) = w. [para(3073(a,1),213(a,1,2))]. 3075 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3073(a,1),316(a,1,2,1))]. 3076 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(161,a,3052,a)]. 3078 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(2562,a,2761,a),flip(a)]. 3079 T(x,T(y,y \ 1)) = T(x,y). [hyper(160,a,2526,a(flip),b,2761,a(flip))]. 3083 T(x,(y \ 1) \ 1) = T(x,y). [para(119(a,1),3079(a,1,2))]. 3084 T(x,1 / (1 / y)) = T(x,y). [para(256(a,1),3079(a,1,2)),flip(a)]. 3085 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1454(a,1),3079(a,1,2))]. 3086 T(x,1 / y) = T(x,y \ 1). [para(66(a,1),3083(a,1,2,1)),flip(a)]. 3087 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3083(a,1),118(a,1,2))]. 3088 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). [hyper(220,a,764,a,b,3086,a),flip(a)]. 3091 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(592,a,3078,a)]. 3092 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3078(a,1),2337(a,2,1))]. 3093 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(220,a,2306,a(flip),b,3087,a)]. 3096 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3091(a,2),464(a,2,1))]. 3098 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2843(a,1),2031(a,1,2))]. 3099 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2843(a,1),2603(a,1,1,2)),flip(a)]. 3100 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,3098,a)]. 3101 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(161,a,2875,a)]. 3102 ((1 / x) \ y) / L(x,x \ 1,(1 / x) \ y) = ((x \ 1) \ y) * (x \ 1). [hyper(220,a,2623,a,b,2902,a(flip)),flip(a)]. 3103 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(120(a,2),2918(a,1,1))]. 3104 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2167,a,2936,a)]. 3105 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(592,a,2971,a)]. 3106 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(20,a,2756,a,b,2971,a(flip)),flip(a)]. 3107 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2971(a,1),565(a,1,1))]. 3110 ((1 / x) * (y / (1 / x))) \ y = K(y / (x \ 1),x \ 1). [para(2989(a,2),102(a,1,1))]. 3111 R(((x \ 1) * (y / (x \ 1))) / (1 / x),x \ 1,x) = ((1 / x) * (y * x)) / (1 / x). [para(2989(a,1),2599(a,1,1,1))]. 3112 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2308(a,1),2992(a,1,2)),flip(a)]. 3113 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2715,a,b,3001,a)]. 3114 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(234(a,1),3001(a,1,1)),flip(a)]. 3116 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3004(a,2),358(a,1))]. 3117 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(220,a,2924,a,b,3021,a),flip(a)]. 3118 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(66(a,1),3021(a,1,2,1,1,2)),flip(a)]. 3119 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(139(a,1),3021(a,1,2,1,1,2))]. 3120 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(2902(a,2),3088(a,1,2))]. 3121 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3104(a,1),2988(a,1,2)),flip(a)]. 3122 T(1 / (1 / x),y / (y * x)) = x. [hyper(160,a,3113,a,b,xx)]. 3124 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),3122(a,1,2,2))]. 3125 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3124(a,1),156(a,1,2,2))]. 3126 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3118(a,1),63(a,1,2))]. 3127 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(78,a,3120,a)]. 3128 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1870(a,2),3125(a,1,2))]. 3129 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(16(a,1),3126(a,1,2,2,1,1))]. 3130 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2298(a,2),3126(a,1,2))]. 3131 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(220,a,2417,a,b,3129,a),flip(a)]. 3132 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(119(a,2),3131(a,2,2,2)),flip(a)]. 3133 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3132(a,1),66(a,1,1))]. 3134 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(18(a,1),3130(a,1,2,1,1,1))]. 3135 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(220,a,1805,a,b,3134,a),flip(a)]. 3136 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(220,a,148,a,b,3135,a),flip(a)]. 3137 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2825,a,2903,a)]. 3138 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(220,a,2899,a,b,3137,a(flip)),flip(a)]. 3139 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2904(a,2),3037(a,1,1))]. 3140 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2775(a,2),2109(a,1,1))]. 3141 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(931(a,1),2834(a,1,1))]. 3142 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(25,a,2868,a)]. 3143 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [hyper(220,a,2513,a,b,2895,a)]. 3145 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2290(a,1),2896(a,2,2))]. 3146 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(2933(a,1),17(a,1,2))]. 3147 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(2933(a,1),1281(a,1,1)),flip(a)]. 3148 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2290(a,1),3026(a,2,1))]. 3150 K(x / (y \ 1),y \ 1) != z | K(x / (1 / y),1 / y) = z. [para(3110(a,1),475(a,1))]. 3151 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2000,a,3112,a),flip(a)]. 3152 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,1998,a(flip),b,3112,a(flip))]. 3153 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(20,a,250,a,b,3151,a)]. 3154 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(220,a,2445,a(flip),b,3152,a(flip)),flip(a)]. 3155 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(220,a,2186,a(flip),b,3152,a(flip)),flip(a)]. 3156 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3154(a,1),138(a,1,2,1))]. 3157 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2945(a,1),3154(a,1,2)),flip(a)]. 3158 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),3155(a,1,1,2))]. 3159 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(120(a,1),3155(a,1,1,2)),flip(a)]. 3160 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1402(a,1),3155(a,1,1,2)),flip(a)]. 3161 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2942(a,1),3155(a,1,1))]. 3162 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(120(a,1),3159(a,1,1)),flip(a)]. 3163 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),3162(a,1,1,2)),flip(a)]. 3164 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(887(a,2),3161(a,1,1)),flip(a)]. 3165 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(20,a,2409,a,b,3117,a),flip(a)]. 3166 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3165(a,1),2896(a,1,1))]. 3167 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3121(a,1),1565(a,1,1)),flip(a)]. 3168 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(119(a,1),3145(a,1,2,2))]. 3170 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,17,a(flip),b,3148,a),flip(a)]. 3171 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),3163(a,1,1)),flip(a)]. 3172 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3171(a,1),63(a,1,2))]. 3174 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(220,a,3157,a,b,3172,a(flip)),flip(a)]. 3175 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(71,a,3174,a(flip),b,905,a),flip(a)]. 3176 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(155(a,1),3174(a,2,1))]. 3177 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3175(a,1),2300(a,1,2))]. 3178 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(155(a,1),3177(a,1,2,2,1))]. 3179 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3033(a,1),3176(a,1,1))]. 3180 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3170,a)]. 3181 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3170(a,1),2823(a,1,2))]. 3182 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1765(a,1),3180(a,1,2))]. 3183 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2953(a,1),923(a,1,2)),flip(a)]. 3184 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),3183(a,1,1)),flip(a)]. 3185 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(220,a,2109,a,b,2955,a(flip)),flip(a)]. 3186 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),3160(a,2,1))]. 3188 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(220,a,2559,a(flip),b,2901,a(flip))]. 3189 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3188,a(flip))]. 3190 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3189(a,1),1404(a,1,1)),flip(a)]. 3191 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3189(a,1),2372(a,1,1))]. 3192 (L(x,x \ 1,y) * y) / L(x,1 / x,y) = y * (x \ T(x,y)). [para(2628(a,1),2948(a,1,1,1))]. 3193 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2939(a,1),2949(a,2,2,1,2))]. 3194 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3005(a,2),3178(a,1,2,2))]. 3195 (x \ K(y,x)) \ K(y,x) = T(x,x \ 1). [hyper(220,a,119,a(flip),b,3194,a(flip)),flip(a)]. 3196 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3194(a,1),191(a,1,2))]. 3197 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3196(a,1),2551(a,1,1))]. 3198 K(x \ 1,x) * K(y,x) = (x \ K(y,x)) * x. [para(3196(a,1),2691(a,1,1)),flip(a)]. 3199 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3197(a,1),2143(a,1,2)),flip(a)]. 3200 (1 / (1 / x)) * K(y,x) = x * ((x \ K(y,x)) * x). [para(3198(a,1),3018(a,1,2)),flip(a)]. 3201 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3199(a,1),3138(a,1,2))]. 3202 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(71,a,3201,a(flip),b,899,a),flip(a)]. 3203 x * K(y,z) != z * ((z \ K(y,z)) * z) | 1 / (1 / z) = x. [para(3200(a,1),23(a,1)),flip(a)]. 3205 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2481(a,1),3020(a,1,2))]. 3206 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(220,a,3031,a(flip),b,3034,a)]. 3207 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(2763,a,3141,a(flip)),flip(a)]. 3208 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(220,a,328,a(flip),b,3207,a(flip)),flip(a)]. 3209 (L(x,x \ 1,y) * y) / L(x,x \ 1,y) = y * (x \ T(x,y)). [para(2628(a,1),3192(a,1,2))]. 3211 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3179(a,1),3206(a,1,1,2))]. 3212 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,3193,a(flip),b,3211,a(flip)),flip(a)]. 3213 ((L(x,x \ 1,y) * y) / L(x,x \ 1,y)) \ y = T(x,y) \ x. [para(3209(a,2),3212(a,1,1))]. 3214 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3213(a,1),2980(a,1,1,2))]. 3215 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2882(a,2),827(a,1,1,2))]. 3216 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3116,a,234,a(flip)),flip(a)]. 3217 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [para(3136(a,1),3147(a,1,2)),flip(a)]. 3219 x * (y * ((x \ y) / y)) = T(y,R(x \ 1,x,y)). [hyper(220,a,1988,a(flip),b,3217,a(flip)),flip(a)]. 3220 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(16(a,1),3219(a,1,2,2,1)),flip(a)]. 3221 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2837(a,1),3167(a,1,1)),flip(a)]. 3222 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3142(a,1),75(a,1))]. 3223 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),3158(a,2,1))]. 3224 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3164(a,1),2983(a,1,3))]. 3225 T(x,K(y,x) \ 1) = x. [para(3164(a,1),3030(a,1,2))]. 3226 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3225(a,1),118(a,1,2))]. 3227 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3226(a,1),150(a,2,1)),flip(a)]. 3228 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(220,a,3224,a(flip),b,3227,a)]. 3230 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(63(a,1),3182(a,2,1,1,2))]. 3231 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2675,a,3230,a)]. 3232 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(16(a,1),3231(a,1,2)),flip(a)]. 3233 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3232(a,1),17(a,1,2))]. 3234 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1818(a,2),3233(a,1,2))]. 3235 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2800(a,1),3233(a,1,2)),flip(a)]. 3236 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3235(a,1),896(a,1,2))]. 3237 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(903(a,1),3202(a,1,2))]. 3238 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1765(a,1),3205(a,1,2))]. 3239 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [hyper(220,a,2528,a,b,2530,a(flip)),flip(a)]. 3241 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(220,a,261,a(flip),b,2538,a)]. 3242 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2596(a,1),2602(a,1,2,2))]. 3243 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2155(a,1),2811(a,1,2))]. 3244 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3243(a,1),1617(a,2,2,1,2)),flip(a)]. 3246 ((x \ 1) \ y) * (x \ 1) != z | ((1 / x) \ y) * (1 / x) = z. [para(3102(a,1),2627(a,1))]. 3247 ((((x / y) * y) \ y) \ 1) \ 1 = (y * (((y \ x) \ 1) \ 1)) \ y. [para(63(a,1),2730(a,1,1,1,1,1))]. 3248 (x * (((x \ y) \ 1) \ 1)) \ x = ((y \ x) \ 1) \ 1. [para(19(a,1),3247(a,1,1,1,1)),flip(a)]. 3250 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(3248(a,1),63(a,1,2))]. 3251 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1037(a,1),2972(a,2,1))]. 3254 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3251(a,2),587(a,1))]. 3255 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = x * (R((x \ y) * x,z,u) / x). [para(17(a,1),2688(a,1,2,1,2))]. 3256 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2526(a,1),2690(a,1,2,1))]. 3257 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2491(a,1),3256(a,1,2,1))]. 3258 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(220,a,334,a,b,3114,a),flip(a)]. 3259 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2286(a,1),3166(a,2,2,2))]. 3260 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(63(a,1),3259(a,2,2))]. 3262 (x \ 1) * (y * T((x \ 1) \ 1,z)) = (1 / x) * (y * T(x,z)). [para(3260(a,1),2907(a,1,2)),flip(a)]. 3263 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2927(a,1),3234(a,1,2))]. 3264 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(119(a,2),3263(a,1,2,1))]. 3265 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2614(a,1),3238(a,2,1))]. 3266 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2519(a,1),3241(a,1,1,2))]. 3267 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(157(a,1),3092(a,2,1))]. 3268 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(220,a,284,a(flip),b,3267,a)]. 3271 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3268(a,1),234(a,1,2)),flip(a)]. 3272 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,15,a(flip),b,3271,a)]. 3273 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,2361,a(flip),b,3272,a(flip))]. 3274 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(71,a,3273,a(flip),b,2104,a)]. 3275 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(66(a,1),3273(a,1,2))]. 3276 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(995(a,1),3275(a,1,1))]. 3277 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1035(a,1),3276(a,1,1)),flip(a)]. 3278 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(220,a,3221,a(flip),b,3099,a)]. 3279 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2843(a,1),3278(a,1,1))]. 3280 ((1 / x) * (y * x)) / (1 / x) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(2605,a,3111,a),flip(a)]. 3281 ((x \ 1) * (y * x)) / (x \ 1) = ((x \ 1) * (y / (x \ 1))) * x. [hyper(220,a,2910,a(flip),b,3280,a(flip)),flip(a)]. 3282 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2288(a,1),2750(a,2,2,1))]. 3283 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(718(a,1),2891(a,1,2)),flip(a)]. 3284 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(220,a,1793,a(flip),b,3283,a(flip))]. 3285 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2649(a,1),2929(a,1,2)),flip(a)]. 3286 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(220,a,29,a,b,3285,a)]. 3287 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2669(a,1),3286(a,1,1)),flip(a)]. 3289 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(220,a,171,a(flip),b,3282,a)]. 3290 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3289(a,1,2))]. 3291 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2828(a,1),3290(a,1,2))]. 3294 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3291(a,1),2795(a,1,2)),flip(a)]. 3295 L(x,y,K(z \ 1,z) * u) = L(x,y,u * K(z \ 1,z)). [hyper(220,a,2576,a(flip),b,2577,a(flip)),flip(a)]. 3296 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2915(a,1),2985(a,1,1))]. 3297 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2783(a,1),3296(a,1,1))]. 3298 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(2984,a,3297,a)]. 3300 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3184(a,1),3185(a,1,1))]. 3301 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(220,a,176,a(flip),b,3300,a(flip)),flip(a)]. 3302 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),3301(a,1,1)),flip(a)]. 3303 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,3035,a(flip),b,3302,a)]. 3304 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2836(a,1),3302(a,1,2)),flip(a)]. 3305 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1402(a,1),3303(a,1,1,2)),flip(a)]. 3306 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2945(a,1),3303(a,1,1)),flip(a)]. 3307 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(220,a,2950,a(flip),b,3304,a)]. 3309 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3307(a,1),526(a,2,1))]. 3310 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3174(a,1),3306(a,1,2)),flip(a)]. 3311 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(155(a,1),3310(a,1,1,2)),flip(a)]. 3312 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(155(a,1),3311(a,1,2,1)),flip(a)]. 3313 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3312(a,1),17(a,1,2))]. 3314 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),3305(a,2,1))]. 3316 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3186(a,1),3314(a,1,2))]. 3317 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3316(a,1),22(a,1))]. 3318 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(17(a,1),3309(a,1,2,2,2))]. 3320 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2961(a,1),3318(a,1,2,2)),flip(a)]. 3321 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1445(a,1),3320(a,2,2))]. 3323 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(220,a,180,a(flip),b,3321,a)]. 3324 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(555,a,3323,a),flip(a)]. 3326 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(220,a,2944,a(flip),b,3324,a)]. 3327 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1402(a,1),3326(a,1,1,2))]. 3328 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(16(a,1),3327(a,1,1)),flip(a)]. 3330 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1402(a,1),3328(a,1,2)),flip(a)]. 3331 L(K(x,y),x \ 1,x) = K(x,y). [hyper(220,a,16,a(flip),b,3330,a)]. 3334 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,3331,a(flip),b,180,a),flip(a)]. 3335 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1485,a,3334,a)]. 3336 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(71,a,3334,a(flip),b,1484,a)]. 3337 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3334(a,1),23(a,1))]. 3340 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,1407,a(flip),b,3190,a)]. 3341 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(541(a,1),3340(a,1,2,2))]. 3342 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(220,a,45,a,b,3341,a(flip)),flip(a)]. 3343 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1797(a,1),3342(a,1,1)),flip(a)]. 3344 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,889,a,b,3343,a)]. 3346 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(220,a,1476,a(flip),b,3344,a(flip)),flip(a)]. 3347 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3344(a,1),3223(a,1,1)),flip(a)]. 3348 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(220,a,3189,a,b,3346,a),flip(a)]. 3349 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1700(a,2),3348(a,1,2))]. 3350 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [hyper(3254,a,3347,a),flip(a)]. 3351 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2377(a,1),396(a,1))]. 3353 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1763(a,1),2698(a,1,1))]. 3354 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2892(a,1),3353(a,1,1))]. 3355 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(66(a,1),3354(a,2,2))]. 3358 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3355(a,1),2823(a,1,2))]. 3359 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(987(a,1),2977(a,2,1))]. 3360 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2540,a,2539,a),flip(a)]. 3362 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(938(a,1),2454(a,2,1))]. 3363 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(220,a,2743,a(flip),b,3362,a)]. 3364 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(220,a,2892,a(flip),b,3363,a(flip)),flip(a)]. 3366 L(x,y,z * K(u \ 1,u)) != w | L(x,y,K(u \ 1,u) * z) = w. [para(2577(a,1),2579(a,1))]. 3367 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(833(a,1),2818(a,1,2,1))]. 3368 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2807(a,1),3367(a,1,1))]. 3369 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(3368(a,1),19(a,1,1))]. 3370 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3265(a,1),2608(a,1,1))]. 3371 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(810(a,1),3370(a,2,1,2))]. 3372 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2660(a,1),2697(a,1,2)),flip(a)]. 3373 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(220,a,33,a,b,3372,a)]. 3375 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(220,a,2169,a(flip),b,3373,a(flip))]. 3376 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(119(a,2),3373(a,1,2,2))]. 3377 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1765(a,1),3376(a,1,3))]. 3378 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(63(a,1),3377(a,2,3))]. 3379 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2798(a,1),2799(a,2,2,1,1))]. 3380 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(220,a,2941,a(flip),b,3379,a)]. 3382 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2941(a,1),3380(a,1,1))]. 3383 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3382(a,1),3012(a,1,1))]. 3384 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3009(a,1),3383(a,2,1))]. 3386 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3384(a,1),17(a,1,2))]. 3388 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,2535,a(flip),b,3386,a(flip)),flip(a)]. 3389 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2769(a,1),2812(a,1,2)),flip(a)]. 3390 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3389(a,2),396(a,1))]. 3391 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),3027(a,1,1,1))]. 3393 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3391(a,1),23(a,1)),flip(a)]. 3398 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3139(a,1),3140(a,1,1))]. 3399 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2941(a,1),3244(a,2,1))]. 3400 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),T(y,K(z \ 1,z))). [para(2508(a,1),2541(a,1,2,2))]. 3401 (x * (y * K(z \ 1,z))) \ ((K(z \ 1,z) * x) * y) = a(x,K(z \ 1,z),y). [para(2508(a,1),3400(a,2,3))]. 3402 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3096(a,1,1))]. 3403 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1448(a,1),3402(a,1,2,3))]. 3404 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2748(a,1),3403(a,1,2)),flip(a)]. 3405 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3091(a,1),3404(a,1,1))]. 3406 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3093(a,1),3404(a,1,1)),flip(a)]. 3407 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1448(a,1),3405(a,1,2))]. 3408 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(220,a,3085,a(flip),b,3407,a(flip))]. 3409 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(220,a,2714,a(flip),b,3408,a)]. 3410 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(220,a,2597,a(flip),b,3409,a)]. 3411 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(220,a,3410,a(flip),b,3406,a(flip)),flip(a)]. 3412 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1448(a,1),3411(a,2,2))]. 3413 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(220,a,3085,a(flip),b,3412,a)]. 3414 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(220,a,3100,a(flip),b,3413,a)]. 3415 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3152(a,1),3414(a,1,1))]. 3416 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(220,a,3279,a(flip),b,3415,a(flip)),flip(a)]. 3417 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3416(a,1),749(a,1,1))]. 3418 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(220,a,409,a(flip),b,3417,a(flip))]. 3419 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(220,a,29,a,b,3418,a),flip(a)]. 3420 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3419(a,2,1)),flip(a)]. 3421 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3420,a(flip),b,180,a),flip(a)]. 3422 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3421(a,1),33(a,2,2)),flip(a)]. 3423 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2604(a,1),3258(a,1,1))]. 3424 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(33(a,2),1953(a,2,2,1,1))]. 3425 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1819(a,1),3424(a,1,1))]. 3426 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1825(a,1),3425(a,1,1,1))]. 3427 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(429,a,3426,a),flip(a)]. 3428 R(x,y,z) * L(R(x,y,z) \ 1,u,w) != v5 | R(x * L(x \ 1,u,w),y,z) = v5. [para(3426(a,1),429(a,1))]. 3429 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(642(a,1),3427(a,2,1,2))]. 3430 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1041(a,1),3427(a,1,2))]. 3431 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1335(a,1),3429(a,1,2))]. 3432 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(141(a,1),3431(a,2,1,2))]. 3433 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1760(a,2),3432(a,2,1))]. 3434 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(15(a,1),3430(a,1,2,2)),flip(a)]. 3435 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3349(a,1),3434(a,1,1)),flip(a)]. 3436 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3346(a,1),3435(a,2,1))]. 3437 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(220,a,3191,a(flip),b,3436,a)]. 3438 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1760,a(flip),b,3437,a)]. 3439 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(220,a,3277,a,b,3438,a(flip)),flip(a)]. 3440 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3439(a,1),63(a,1,2)),flip(a)]. 3441 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(63(a,1),3439(a,1,1,1,2)),flip(a)]. 3442 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3441(a,1),66(a,1,1))]. 3443 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(63(a,1),3442(a,1,1,1,1)),flip(a)]. 3444 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3442(a,1),3083(a,1,2)),flip(a)]. 3445 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(436(a,1),3443(a,2,1,1))]. 3446 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3443(a,2),2299(a,1,1))]. 3447 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2596(a,1),3443(a,2,1,1))]. 3448 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3443(a,2),3083(a,1,2))]. 3449 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(220,a,2952,a(flip),b,3444,a(flip))]. 3450 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(220,a,2607,a,b,3447,a(flip)),flip(a)]. 3451 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(216,a,3446,a),flip(a)]. 3452 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2298(a,1),3451(a,2,1))]. 3453 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(220,a,3119,a(flip),b,3452,a(flip)),flip(a)]. 3454 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(3143(a,1),3453(a,2,1))]. 3455 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3443(a,2),3453(a,1,1))]. 3456 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3454(a,2),23(a,1))]. 3457 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(2895(a,1),3455(a,2,1))]. 3458 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3445(a,1),3457(a,1,1))]. 3459 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(19(a,1),3458(a,1,2,1))]. 3460 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1451,a,3459,a),flip(a)]. 3462 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = ((x * (1 / (1 / T(y,x)))) / x) * (1 / T(y,x)). [para(66(a,1),1811(a,2,2))]. 3463 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * ((1 / T(y,x)) \ 1)) / x). [hyper(220,a,720,a(flip),b,3462,a)]. 3465 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * ((x * T(y,x)) / x). [para(66(a,1),3463(a,2,2,1,2))]. 3467 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = (1 / T(y,x)) * y. [para(155(a,1),3465(a,2,2))]. 3468 (x \ (x * (1 / (1 / T(y,x))))) \ (y * T(K(y \ 1,y),x)) = y / T(y,x). [hyper(220,a,1105,a(flip),b,3467,a)]. 3469 (1 / (1 / T(x,y))) \ (x * T(K(x \ 1,x),y)) = x / T(x,y). [para(16(a,1),3468(a,1,1))]. 3471 (1 / (1 / T(x,y))) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2854(a,2),3469(a,1,2,2))]. 3472 T(1 / (1 / x),y) \ (x * K(T(x,y) \ 1,x)) = x / T(x,y). [para(2290(a,1),3471(a,1,1))]. 3473 T(1 / (1 / x),y) \ (1 / (1 / x)) = x / T(x,y). [para(2855(a,1),3472(a,1,2))]. 3474 T(1 / x,y) \ (1 / (1 / (x \ 1))) = (x \ 1) / T(x \ 1,y). [para(63(a,1),3473(a,1,1,1,2))]. 3476 (x \ 1) / T(x \ 1,y) = T(1 / x,y) \ (1 / x). [para(63(a,1),3474(a,1,2,2)),flip(a)]. 3477 (x \ 1) / T(x \ 1,y) = x \ (T(1 / x,y) \ 1). [hyper(220,a,3153,a(flip),b,3476,a)]. 3478 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(2849,a,3477,a)]. 3479 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2242(a,1),1271(a,1,1,2))]. 3480 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(19(a,1),3479(a,1,1,2))]. 3482 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(988(a,1),3480(a,1,1)),flip(a)]. 3484 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3482(a,1),3359(a,1,1))]. 3485 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3484,a(flip),b,3316,a)]. 3486 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(220,a,2258,a(flip),b,3485,a(flip))]. 3487 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3486(a,1),2435(a,1,1))]. 3488 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(220,a,3350,a(flip),b,3487,a(flip)),flip(a)]. 3489 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(220,a,3284,a,b,3488,a(flip)),flip(a)]. 3490 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3488(a,1),2200(a,2,1,1))]. 3491 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3489(a,1),17(a,1,2))]. 3492 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(220,a,3440,a(flip),b,3491,a)]. 3493 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(20,a,1740,a,b,3492,a),flip(a)]. 3494 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,2922,a,b,3490,a(flip)),flip(a)]. 3495 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(220,a,559,a(flip),b,3494,a(flip)),flip(a)]. 3496 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3456,a,3495,a),flip(a)]. 3499 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3496,a)]. 3501 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,x) * y) * z. [para(3496(a,1),3490(a,2,1))]. 3503 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(220,a,3493,a,b,3499,a(flip)),flip(a)]. 3504 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3499(a,1),991(a,1,2))]. 3507 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3503(a,1),1738(a,1,1))]. 3508 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3503(a,1),2656(a,1,1,1)),flip(a)]. 3509 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3507,a(flip),b,2803,a),flip(a)]. 3510 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3507(a,1),2649(a,1,1))]. 3511 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2809,a,b,3504,a),flip(a)]. 3513 R(x,y,z) / x = x \ R(x,y,z). [hyper(1042,a,3511,a)]. 3514 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(269,a,3511,a),flip(a)]. 3516 (x \ R(x,y,z)) * x = R(x,y,z). [para(3511(a,1),1039(a,1,1))]. 3518 R(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(220,a,608,a(flip),b,3513,a)]. 3519 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3513(a,1),445(a,1,1))]. 3520 T(x,x \ R(x,y,z)) = x. [hyper(253,a,3516,a)]. 3521 R((x \ 1) / (x * (x \ 1)),y,z) / R(1 / x,y,z) = a(R(1 / x,y,z),x,x \ 1). [para(306(a,1),3518(a,1,1))]. 3522 (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). [para(3514(a,1),17(a,1,2))]. 3524 K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). [hyper(220,a,2234,a,b,3522,a(flip)),flip(a)]. 3525 R(x \ 1,y,z) / R(1 / x,y,z) = K(x \ 1,x). [hyper(72,a,3522,a(flip),b,2234,a)]. 3526 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [hyper(2677,a,3524,a)]. 3527 R(1 / x,y,z) * K(x \ 1,x) = R(x \ 1,y,z). [hyper(2518,a,3524,a)]. 3529 (x * R(x \ 1,y,z)) * K(x,x \ 1) = x * R(1 / x,y,z). [para(3526(a,1),2529(a,2,2))]. 3530 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(220,a,2656,a(flip),b,3508,a)]. 3531 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1766,a,3530,a)]. 3532 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(220,a,3274,a(flip),b,3509,a)]. 3533 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3519(a,2),2293(a,1,1,1,1))]. 3534 (x * R(x \ 1,y,z)) \ (x * R(1 / x,y,z)) = K(x,x \ 1). [hyper(78,a,3529,a)]. 3535 K(x,y / (x * y)) = K(x,x \ 1). [hyper(220,a,1226,a(flip),b,3534,a(flip)),flip(a)]. 3537 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),3535(a,1,2,2)),flip(a)]. 3539 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(18(a,1),3537(a,2,2))]. 3540 K(x / y,y / x) != z | K(x / y,1 / (x / y)) = z. [para(3537(a,1),1778(a,1))]. 3541 K(x / (y * x),y) = K(y \ 1,y). [hyper(220,a,2720,a(flip),b,3539,a(flip))]. 3543 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),3541(a,1,1,2)),flip(a)]. 3544 K(x / y,y / x) * x = y * T(y \ x,y / x). [para(3543(a,1),1223(a,1,1))]. 3545 K(x / y,y / x) * x = y * T(y \ x,x \ y). [para(2419(a,1),3544(a,2,2))]. 3546 K((x \ y) \ 1,x \ y) = K(x / y,y / x). [hyper(21,a,2532,a,b,3545,a),flip(a)]. 3547 K(1 / (x \ y),x \ y) = K(x / y,y / x). [hyper(220,a,3038,a,b,3546,a(flip)),flip(a)]. 3548 K((x * y) / x,x / (x * y)) = K(y,1 / y). [hyper(220,a,2480,a(flip),b,3547,a(flip))]. 3549 K((x * y) / x,1 / ((x * y) / x)) = K(y,1 / y). [hyper(3540,a,3548,a)]. 3550 (((x * y) / x) \ z) * K(y,1 / y) = (1 / (1 / ((x * y) / x))) \ z. [para(3549(a,1),2996(a,1,2))]. 3553 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3503(a,1),3501(a,1,1)),flip(a)]. 3554 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2544,a,3553,a)]. 3555 L(x,y,K(z \ 1,z)) = x. [hyper(388,a,3553,a)]. 3556 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(71,a,89,a(flip),b,3553,a)]. 3557 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [hyper(2677,a,3553,a(flip))]. 3559 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),33(a,2,1,1)),flip(a)]. 3561 (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) != w | L(u,K(y \ 1,y) * z,x) = w. [para(3553(a,1),396(a,1,2,2))]. 3562 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2591(a,1),3553(a,1,1)),flip(a)]. 3563 x \ ((y * K(z \ 1,z)) * u) = x \ (K(z \ 1,z) * (y * u)). [para(3553(a,1),2575(a,1,2)),flip(a)]. 3564 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,K(x \ 1,x) * y). [para(3553(a,1),2576(a,1,1))]. 3566 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = a(x,K(z \ 1,z),y). [para(3553(a,1),3401(a,1,2))]. 3569 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3390,a,3555,a),flip(a)]. 3572 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(220,a,3360,a,b,3555,a(flip)),flip(a)]. 3573 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(220,a,3266,a(flip),b,3555,a(flip))]. 3574 L(x,y,K(z,1 / z)) = x. [para(66(a,1),3555(a,1,3,1))]. 3575 L(x,y,1) = x. [para(142(a,1),3555(a,1,3))]. 3576 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3555(a,1),448(a,1,2))]. 3577 L(x,y,K(z,z \ 1)) = x. [para(1762(a,1),3555(a,1,3))]. 3579 L(x,y,K(z \ u,u \ z)) = x. [para(2397(a,1),3555(a,1,3))]. 3581 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3555(a,1),3390(a,1))]. 3582 L(x,y,1) = x / 1. [hyper(220,a,61,a,b,3575,a)]. 3583 L(x,y,1) != z | z = x. [para(3582(a,2),202(a,1))]. 3584 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3574(a,1),103(a,1,2))]. 3585 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3574(a,1),323(a,1,2)),flip(a)]. 3587 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(220,a,2671,a(flip),b,3577,a(flip)),flip(a)]. 3588 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(220,a,105,a(flip),b,3577,a(flip)),flip(a)]. 3589 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3577(a,1),103(a,1,2))]. 3590 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3577(a,1),323(a,1,2)),flip(a)]. 3591 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3577(a,1),448(a,1,2))]. 3594 (K(x,x \ 1) * (y * z)) \ ((K(x,x \ 1) * y) * (z * u)) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(3577(a,1),389(a,1,2,2,1))]. 3595 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3577(a,1),1785(a,1,2)),flip(a)]. 3596 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3579(a,1),103(a,1,2))]. 3597 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(63(a,1),3569(a,1,3)),flip(a)]. 3598 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [para(3569(a,1),103(a,1,2))]. 3600 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(220,a,2702,a,b,3573,a(flip)),flip(a)]. 3601 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2781(a,2),3581(a,1))]. 3603 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2506,a,3590,a)]. 3604 K(x,x \ 1) / y != K(x,x \ 1) * z | 1 / y = z. [para(3590(a,1),22(a,1))]. 3605 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3590(a,1),2506(a,1))]. 3606 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2506,a,3595,a)]. 3607 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(578(a,1),3606(a,1,1)),flip(a)]. 3609 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(72,a,65,a(flip),b,3554,a),flip(a)]. 3611 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3554(a,1),27(a,2,1)),flip(a)]. 3612 (x * (K(y \ 1,y) * (z * u))) \ ((x * (z * K(y \ 1,y))) * u) != w | a(x,z * K(y \ 1,y),u) = w. [para(3554(a,1),597(a,1,1,2))]. 3614 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3554(a,1),2810(a,1,1))]. 3615 K(x \ 1,R(x,y,z)) * (u * w) = (u * K(x \ 1,x)) * w. [para(3499(a,2),3554(a,2,1)),flip(a)]. 3617 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(357(a,1),3556(a,1,2))]. 3618 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2657(a,1),3556(a,1,1)),flip(a)]. 3620 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2769(a,1),3556(a,1,1))]. 3621 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [hyper(220,a,2573,a(flip),b,3617,a(flip)),flip(a)]. 3623 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2657(a,1),3557(a,1,2,1)),flip(a)]. 3624 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2769(a,1),3557(a,1,2,1))]. 3625 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3576(a,1),120(a,1,1))]. 3626 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(779(a,1),3576(a,1,1)),flip(a)]. 3627 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1747(a,1),3576(a,1,1)),flip(a)]. 3628 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2665,a,3626,a)]. 3629 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(191(a,1),3627(a,1,2)),flip(a)]. 3630 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(220,a,2511,a(flip),b,3584,a)]. 3632 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(14(a,1),3587(a,2,2))]. 3633 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2499(a,1),3632(a,1,1))]. 3634 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2821(a,1),3588(a,1,1))]. 3636 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(418,a,3589,a)]. 3638 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3589,a(flip),b,2531,a)]. 3640 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(220,a,3433,a,b,3636,a(flip)),flip(a)]. 3641 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3591(a,1),2676(a,1,1))]. 3642 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1738(a,1),3618(a,2,2))]. 3643 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3618(a,1),2912(a,1))]. 3646 (K(x,x \ 1) * ((y * z) * u)) / ((z * K(x,x \ 1)) * u) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),421(a,1,1))]. 3647 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(72,a,90,a(flip),b,3630,a)]. 3648 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(220,a,439,a,b,3647,a(flip)),flip(a)]. 3650 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(220,a,772,a(flip),b,3572,a(flip))]. 3651 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2588(a,1),3572(a,1,1,2))]. 3653 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3620(a,1),3399(a,1,2,1)),flip(a)]. 3654 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2906(a,1),3625(a,1,1))]. 3656 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3531,a,b,3640,a)]. 3658 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3656(a,1),209(a,1,2)),flip(b)]. 3659 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(3658,a,3532,a),flip(a)]. 3660 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3658,a,3509,a),flip(a)]. 3661 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3660(a,1),17(a,1,2))]. 3662 K(x,R(x \ 1,y,z)) * (u * w) = (u * K((x \ 1) \ 1,x \ 1)) * w. [para(3041(a,1),3615(a,1,1))]. 3663 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2520(a,1),3596(a,1,1))]. 3664 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3663(a,2),147(a,1))]. 3665 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3553(a,1),3559(a,1,1))]. 3666 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(220,a,3591,a(flip),b,3638,a(flip)),flip(a)]. 3667 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(220,a,3239,a(flip),b,3638,a(flip))]. 3668 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1765(a,1),3667(a,1,2)),flip(a)]. 3669 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1765(a,1),3668(a,1,3)),flip(a)]. 3670 K(x,R(x \ 1,y,z)) * (u * w) = (u * K(x,x \ 1)) * w. [para(1787(a,1),3662(a,2,1,2))]. 3671 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(21,a,2499,a,b,3670,a)]. 3672 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(220,a,3576,a(flip),b,3665,a(flip)),flip(a)]. 3673 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3672(a,1,2)),flip(a)]. 3674 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2677,a,3673,a(flip))]. 3675 R(K(x \ 1,x) * y,z,u) * K(x,x \ 1) = R(y,z,u). [hyper(2665,a,3673,a(flip))]. 3677 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(71,a,3674,a(flip),b,3255,a(flip)),flip(a)]. 3678 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(3677(a,1),19(a,1,1)),flip(a)]. 3679 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(67(a,1),3677(a,1,1,1)),flip(a)]. 3680 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(436(a,1),3678(a,2,1,2))]. 3681 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3678(a,2),1008(a,1,1))]. 3682 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2596(a,1),3678(a,2,1,2))]. 3683 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3679(a,1),17(a,1,2)),flip(a)]. 3684 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3683(a,2),2335(a,1,1))]. 3685 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [para(2669(a,1),3675(a,1,1,1)),flip(a)]. 3686 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3680,a(flip),b,184,a)]. 3687 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(220,a,3371,a(flip),b,3682,a(flip))]. 3688 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3682,a(flip),b,2598,a),flip(a)]. 3689 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3682(a,1),3423(a,1,1)),flip(a)]. 3690 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3687(a,1,1)),flip(a)]. 3691 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3690,a),flip(a)]. 3692 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,17,a(flip),b,3690,a),flip(a)]. 3693 x \ ((y * x) / y) = y \ T(y,x). [hyper(78,a,3691,a)]. 3694 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,218,a(flip),b,3691,a),flip(a)]. 3695 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,155,a(flip),b,3691,a)]. 3696 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,3146,a,b,3691,a),flip(a)]. 3697 (x \ T(x,y)) * y = (x * y) / x. [hyper(220,a,2874,a,b,3691,a(flip)),flip(a)]. 3698 ((x * y) / x) / y = x \ T(x,y). [hyper(72,a,3691,a(flip),b,2874,a)]. 3699 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3691(a,1),813(a,1,2))]. 3700 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3691(a,1),2091(a,1,1))]. 3701 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2942(a,1),3691(a,1,2)),flip(a)]. 3702 ((x * y) / x) \ y = T(x,y) \ x. [para(3691(a,1),3212(a,1,1))]. 3703 (T(x,y) \ x) * ((x * y) / x) = y. [para(3691(a,1),3313(a,1,2))]. 3704 x * ((y * (x \ 1)) / y) = y \ T(y,1 / x). [hyper(1083,a,3693,a)]. 3705 x * (y \ T(y,x)) != z | (y * x) / y = z. [para(3693(a,1),208(a,1,2)),flip(b)]. 3706 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3693(a,1),403(a,1,1))]. 3707 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3693(a,1),1281(a,1,1)),flip(a)]. 3708 x * (T(y,x) \ y) = T(x,T(y,x)). [para(3695(a,2),17(a,1,2))]. 3709 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3695(a,2),2947(a,1,1))]. 3710 (x * y) / x != z * y | x \ T(x,y) = z. [para(3697(a,1),23(a,1))]. 3712 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3698(a,1),443(a,1,1,1))]. 3713 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3702(a,1,1,1)),flip(a)]. 3714 T(x,T(y,x)) \ x = y \ T(y,x). [para(155(a,1),3702(a,1,1)),flip(a)]. 3715 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),1082(a,1,1,2,2)),flip(a)]. 3716 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3702(a,1),1188(a,1,2,2,1))]. 3717 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3393,a,3703,a)]. 3718 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3714(a,1),2845(a,1,1))]. 3719 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2942(a,1),3718(a,1,1))]. 3720 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(3005(a,2),3718(a,1,1)),flip(a)]. 3721 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(119(a,1),3692(a,1,2,2))]. 3722 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(78,a,3721,a)]. 3723 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(155(a,1),3706(a,2,2)),flip(a)]. 3724 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3707(a,2),2946(a,1))]. 3725 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(120(a,1),3694(a,1,2))]. 3726 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(220,a,3713,a,b,3725,a(flip)),flip(a)]. 3727 x / (x / y) = y * (T(y,y \ x) \ y). [para(3726(a,2),17(a,1,2)),flip(a)]. 3729 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3727(a,2,2,1,2))]. 3730 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1354,a,3696,a)]. 3732 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(220,a,1004,a,b,3696,a(flip)),flip(a)]. 3733 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3696(a,1),1982(a,1,1))]. 3734 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3696(a,1),2006(a,2,2,1))]. 3735 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3696(a,1),1985(a,2,2,1))]. 3736 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3696(a,1),2369(a,1,1))]. 3737 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3730(a,2),17(a,1,2))]. 3738 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1398,a,3737,a)]. 3739 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(63(a,1),3737(a,1,2,2,1)),flip(a)]. 3740 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(191(a,1),3737(a,1,2,2,1)),flip(a)]. 3741 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1972,a,3738,a)]. 3744 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(220,a,3449,a,b,3738,a(flip)),flip(a)]. 3745 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3738,a(flip),b,1968,a)]. 3746 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3738(a,1),1969(a,1,2)),flip(a)]. 3747 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(220,a,3220,a(flip),b,3744,a(flip)),flip(a)]. 3748 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3744,a(flip),b,3219,a)]. 3750 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(66(a,1),3745(a,1,1,2))]. 3751 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3745(a,2),150(a,2,1))]. 3752 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3748,a,b,xx)]. 3753 x \ T(y,x \ 1) != y * z | (x \ y) / y = z. [para(3748(a,2),22(a,1))]. 3754 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(66(a,1),3748(a,2,2,1))]. 3755 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(303(a,2),3748(a,2,2)),flip(a)]. 3759 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(220,a,954,a(flip),b,3729,a(flip)),flip(a)]. 3760 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3746(a,1),2641(a,2,1,2))]. 3761 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(71,a,3750,a,b,xx)]. 3762 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(220,a,819,a(flip),b,3754,a(flip)),flip(a)]. 3763 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3759(a,1),66(a,1,1))]. 3764 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3759(a,1),1255(a,2,2,1,2))]. 3766 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [hyper(220,a,3708,a,b,3720,a(flip)),flip(a)]. 3767 ((x \ 1) \ (x \ y)) * (x \ 1) = y * R(1 / x,x,x \ y). [hyper(220,a,818,a,b,3755,a),flip(a)]. 3769 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(893(a,1),3701(a,2,2))]. 3770 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(220,a,3730,a(flip),b,3733,a),flip(a)]. 3771 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3740(a,2),22(a,1))]. 3772 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(20,a,764,a,b,3747,a),flip(a)]. 3773 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2965(a,1),3770(a,1,2,2,1)),flip(a)]. 3774 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(220,a,3004,a(flip),b,3772,a(flip))]. 3775 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(148(a,2),3774(a,1,2))]. 3776 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3775,a(flip),b,704,a),flip(a)]. 3777 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3709(a,1),748(a,1,1))]. 3778 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(220,a,3730,a(flip),b,3736,a)]. 3779 (x \ y) \ (y * R(1 / x,x,x \ y)) = K((x \ 1) \ (x \ y),x \ 1). [hyper(71,a,3767,a(flip),b,234,a)]. 3781 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(220,a,1093,a(flip),b,3688,a(flip)),flip(a)]. 3782 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3730(a,1),3734(a,1,1))]. 3783 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(220,a,2910,a,b,3769,a(flip)),flip(a)]. 3784 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3769(a,2),22(a,1))]. 3785 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(220,a,3700,a(flip),b,3776,a(flip)),flip(a)]. 3786 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(1563,a,3785,a)]. 3787 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3786(a,1,1,1)),flip(a)]. 3788 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3787(a,1,1,1)),flip(a)]. 3789 K((x \ 1) \ (x \ y),x \ 1) = K(y,(x \ y) / y). [hyper(637,a,3779,a),flip(a)]. 3790 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(220,a,3216,a(flip),b,3789,a(flip)),flip(a)]. 3791 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3058(a,1),3653(a,2,2))]. 3792 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3164(a,1),3766(a,1,2))]. 3793 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(71,a,3792,a(flip),b,3226,a)]. 3794 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3792(a,1),22(a,1))]. 3795 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3792(a,1),3228(a,1,1))]. 3796 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3793(a,1),811(a,1,2,1))]. 3797 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3795(a,1),17(a,1,2))]. 3798 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3797(a,1),2642(a,1,1)),flip(a)]. 3799 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(220,a,241,a(flip),b,3796,a(flip))]. 3800 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(220,a,328,a(flip),b,3799,a(flip))]. 3801 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(220,a,3800,a(flip),b,3798,a)]. 3802 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3801(a,1),2239(a,1,2,2))]. 3803 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3777(a,2,1))]. 3804 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(220,a,234,a(flip),b,3791,a),flip(a)]. 3805 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(520,a,3802,a),flip(a)]. 3806 K(x,(y \ 1) \ 1) = K(x,y). [hyper(220,a,564,a(flip),b,3805,a),flip(a)]. 3807 K(x,T(y,y \ 1)) = K(x,y). [hyper(569,a,3805,a(flip))]. 3809 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(220,a,3287,a,b,3806,a(flip)),flip(a)]. 3810 K(K(x \ 1,x) * y,x) = K(y,x). [hyper(220,a,3286,a(flip),b,3806,a(flip))]. 3811 K(x,1 / y) = K(x,y \ 1). [para(66(a,1),3806(a,1,2,1)),flip(a)]. 3812 K(x,1 / (1 / y)) = K(x,y). [para(140(a,1),3806(a,1,2)),flip(a)]. 3813 K(x,T(y,1 / y)) = K(x,y). [para(1458(a,2),3806(a,1,2))]. 3814 K(x,T(y / z,z / y)) = K(x,y / z). [para(1800(a,2),3806(a,1,2))]. 3816 K(x,L((y \ 1) \ 1,z,u)) = K(x,L(y,z,u)). [para(2394(a,2),3806(a,1,2))]. 3817 K(x,T(y \ z,z \ y)) = K(x,y \ z). [para(2407(a,2),3806(a,1,2))]. 3818 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2414(a,2),3806(a,1,2))]. 3819 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3806(a,1),2887(a,2,2))]. 3823 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3811(a,1),2095(a,2,1))]. 3824 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3811(a,2),2887(a,2,2))]. 3825 K(x / (y \ 1),1 / y) != z | K(x / (1 / y),1 / y) = z. [para(3811(a,2),3150(a,1))]. 3828 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2147(a,2),3809(a,1,1))]. 3829 K((1 / x) \ y,x) = K((x \ 1) \ y,x). [para(2800(a,1),3809(a,1,1)),flip(a)]. 3830 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2808(a,1),3809(a,1,1))]. 3831 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(1787(a,1),3810(a,1,1,1))]. 3832 K(((x \ 1) \ 1) \ y,x \ 1) = K(x \ y,x \ 1). [para(63(a,1),3829(a,1,1,1)),flip(a)]. 3833 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2389(a,1),3816(a,1,2,1)),flip(a)]. 3834 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2808(a,1),3828(a,1,1,1))]. 3835 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(2673(a,1),3831(a,1,1))]. 3836 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3601,a,3717,a)]. 3837 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2778(a,1),3836(a,2,1))]. 3838 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(220,a,3788,a(flip),b,3837,a(flip))]. 3839 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3838(a,1),3156(a,1,2,1))]. 3840 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(216,a,3681,a),flip(a)]. 3841 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(742(a,1),3840(a,1,2))]. 3842 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(118(a,1),3841(a,1,2,2)),flip(a)]. 3843 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(220,a,3778,a,b,3773,a)]. 3844 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3083(a,1),3843(a,2,1,2))]. 3845 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3689(a,2,1,1,2))]. 3846 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(66(a,1),3845(a,2,2))]. 3847 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(220,a,1218,a(flip),b,3764,a(flip))]. 3848 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(118(a,1),3847(a,2,1,2))]. 3849 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3702(a,1),3716(a,2,2))]. 3850 a(R(1 / x,y,z),x,x \ 1) = R(x \ 1,y,z) / R(1 / x,y,z). [para(128(a,1),3521(a,1,1,1)),flip(a)]. 3851 a(R(1 / x,y,z),x,x \ 1) = K(x \ 1,x). [hyper(220,a,3525,a(flip),b,3850,a)]. 3854 a(x \ 1,x,x \ 1) = K(x \ 1,x). [para(1473(a,1),3851(a,1,1))]. 3855 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3654(a,2),3643(a,1))]. 3856 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2487(a,1),3760(a,1,1,1))]. 3857 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3628(a,1),3856(a,1,1,1))]. 3858 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(120(a,1),3857(a,1,1))]. 3859 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3752(a,1),3858(a,2,1))]. 3860 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2651,a(flip),b,3859,a),flip(a)]. 3861 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3859(a,2),214(a,1)),flip(b)]. 3863 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3860(a,1),3623(a,1,1)),flip(a)]. 3864 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3863(a,1),2991(a,1,2))]. 3865 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) != ((y \ x) * z) * u | T(1 / x,(y \ x) * z) = u. [para(3864(a,2),161(a,2)),flip(a)]. 3866 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,K(x \ 1,x) * y). [hyper(220,a,3563,a(flip),b,3564,a(flip)),flip(a)]. 3867 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(220,a,3576,a(flip),b,3614,a(flip)),flip(a)]. 3868 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(3024(a,1),3648(a,1,1,2))]. 3869 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [hyper(220,a,3295,a(flip),b,3866,a)]. 3870 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(683,a,3869,a)]. 3871 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(220,a,3555,a(flip),b,3870,a(flip))]. 3872 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [hyper(3366,a,3871,a)]. 3875 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2787(a,1),3872(a,1,3)),flip(a)]. 3876 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1765(a,1),3607(a,2,2))]. 3877 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(63(a,1),3876(a,1,1))]. 3878 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(3861,a,3877,a(flip)),flip(a)]. 3879 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(256(a,1),3878(a,1,2,2,2))]. 3880 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(220,a,3629,a(flip),b,3879,a(flip)),flip(a)]. 3881 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3880(a,1),3557(a,1,2,1))]. 3882 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(220,a,2920,a(flip),b,3881,a(flip)),flip(a)]. 3883 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3882(a,1),3846(a,1,1))]. 3884 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(3883(a,1),22(a,1))]. 3885 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3554(a,1),3611(a,1,2,1))]. 3886 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3553(a,1),3885(a,1,2))]. 3887 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(684,a,3886,a)]. 3888 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(220,a,3555,a(flip),b,3887,a(flip))]. 3890 a(1 / x,y,z) = a(x \ 1,y,z). [para(1021(a,1),3888(a,1,1)),flip(a)]. 3891 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(72,a,3890,a(flip),b,181,a)]. 3892 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3891(a,2),3697(a,2,1)),flip(a)]. 3893 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3891(a,2),3783(a,1,1))]. 3894 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(815(a,1),3892(a,2,1))]. 3895 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(893(a,1),3894(a,2,1))]. 3896 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(220,a,3842,a(flip),b,3895,a)]. 3897 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(20,a,3893,a(flip),b,3896,a(flip)),flip(a)]. 3899 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(63(a,1),3897(a,1,1,1,2)),flip(a)]. 3900 T(1 / x,(y \ x) * y) = x \ 1. [hyper(3865,a,3899,a)]. 3901 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(220,a,3864,a(flip),b,3899,a(flip))]. 3902 ((x \ y) * x) * (y \ 1) != z | (1 / y) * ((x \ y) * x) = z. [para(3900(a,1),213(a,1,2))]. 3903 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(160,a,3901,a,b,2991,a),flip(a)]. 3905 ((x \ y) * x) / y != z | (1 / y) * ((x \ y) * x) = z. [para(3883(a,1),3902(a,1))]. 3906 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2077(a,1),3715(a,1,1))]. 3907 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(118(a,1),3906(a,1,1,1,2))]. 3908 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3702(a,1),3907(a,1,2))]. 3909 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3684(a,1),216(a,1))]. 3910 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3909,a,3735,a)]. 3911 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3741(a,1),3910(a,1,1)),flip(a)]. 3912 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3083(a,1),3911(a,1,2,1,2)),flip(a)]. 3913 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3083(a,1),3912(a,1,1)),flip(a)]. 3914 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3913(a,1,2,2)),flip(a)]. 3915 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3914(a,1,2)),flip(a)]. 3917 L(x,y \ T(y,z),y) = x. [hyper(474,a,3915,a)]. 3918 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3915,a)]. 3920 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,896,a,b,3915,a)]. 3922 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3695(a,2),3915(a,1,2,1))]. 3923 T(x,y) * y = x * ((x * y) / x). [para(3697(a,1),3915(a,1,2)),flip(a)]. 3927 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3917,a(flip),b,3302,a)]. 3929 L(x,T(y,T(z,y)) \ y,z) = x. [para(3714(a,2),3917(a,1,2))]. 3930 L(x,T(y,z) \ y,(y * z) / y) = x. [para(154(a,1),3929(a,1,2,1,2))]. 3931 T(x,y) * (x \ y) = (x * y) / x. [hyper(920,a,3923,a)]. 3932 T(x,y) \ (x * ((x * y) / x)) = y. [hyper(78,a,3923,a)]. 3933 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1204,a,b,3923,a),flip(a)]. 3934 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3923(a,2,2,1))]. 3935 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(19(a,1),3923(a,2,2,1))]. 3936 T(x,y) = (x / y) * ((x * y) / x). [hyper(220,a,950,a,b,3933,a(flip))]. 3937 T(x,x / (1 / y)) = T(x,x * y). [hyper(220,a,1210,a(flip),b,3933,a(flip)),flip(a)]. 3938 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(220,a,962,a(flip),b,3933,a(flip)),flip(a)]. 3939 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3933,a(flip),b,950,a)]. 3940 T(x,x / y) = T(x,y \ x). [para(63(a,1),3933(a,1,2,2))]. 3941 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(72,a,3940,a(flip),b,941,a)]. 3942 T(T(x,y \ x) / y,x) = x / y. [para(3940(a,1),946(a,1,1,1))]. 3943 T(x / y,T(y,x)) = y \ x. [hyper(160,a,1132,a,b,3931,a)]. 3945 T(x,T(y,x * y)) = y \ (x * y). [hyper(160,a,1110,a(flip),b,3931,a)]. 3946 T(x,y) \ ((x * y) / x) = x \ y. [hyper(78,a,3931,a)]. 3947 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),3931(a,1,2))]. 3948 ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. [para(3931(a,1),329(a,1,1))]. 3949 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3931(a,1),396(a,1,1))]. 3950 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3931(a,1),2881(a,1,1,1))]. 3951 T(x \ y,T(x,y)) = T(x \ y,x). [para(3943(a,1),175(a,1,1)),flip(a)]. 3952 T(x,x \ y) \ (x * (y / x)) = x \ y. [para(17(a,1),3932(a,1,2,2,1))]. 3954 T(x / y,(x * y) / x) = y \ x. [hyper(160,a,3936,a(flip),b,935,a(flip))]. 3956 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3937(a,1),1198(a,1,1))]. 3957 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3939(a,1,1)),flip(a)]. 3960 T(x,T(y,x * y)) = T(x,y). [hyper(220,a,35,a,b,3945,a)]. 3961 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(3946(a,1),2109(a,1,1,2,1)),flip(a)]. 3962 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3951(a,1),118(a,1,2))]. 3964 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3930,a(flip),b,3849,a),flip(a)]. 3965 R(x,x \ T(x,y),z) = x. [hyper(650,a,3918,a)]. 3966 R(x,T(y,x) \ y,z) = x. [para(3695(a,2),3965(a,1,2))]. 3967 R(x,K(y,x) \ 1,z) = x. [para(3164(a,1),3966(a,1,2))]. 3968 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(220,a,3782,a(flip),b,3920,a(flip))]. 3969 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(220,a,3388,a(flip),b,3920,a(flip))]. 3970 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(16(a,1),3927(a,2,2))]. 3974 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3748,a,b,3934,a)]. 3975 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(220,a,3920,a,b,3934,a(flip)),flip(a)]. 3977 L((x \ y) \ z,x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * z). [para(3934(a,1),105(a,2,1))]. 3979 T(x,x \ y) * (x \ y) != z * u | (x * (y / x)) / u = z. [para(3952(a,1),478(a,1,2))]. 3980 (T(x,y) * z) / (x * z) = x \ T(x,y). [para(3970(a,1),63(a,1,2))]. 3981 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2956,a,3980,a)]. 3982 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3980(a,1),207(a,1,1)),flip(b)]. 3983 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3980(a,1),3803(a,1,1)),flip(a)]. 3985 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(220,a,2973,a(flip),b,3981,a(flip)),flip(a)]. 3986 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3698(a,1),3950(a,1,1))]. 3987 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(220,a,3723,a,b,3986,a(flip))]. 3988 K(T(x,y),y) = K(x,(x * y) / x). [hyper(220,a,3706,a(flip),b,3986,a(flip))]. 3989 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(220,a,3938,a(flip),b,3956,a)]. 3990 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3922(a,2),23(a,1))]. 3991 (x / y) * (x / (x / y)) = (y \ x) * y. [para(120(a,1),3935(a,1,1)),flip(a)]. 3992 T(x \ T(x * y,y),x) = R(y,x,y). [para(3957(a,1),656(a,2,1)),flip(a)]. 3993 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3957(a,1),662(a,1,1))]. 3994 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3964(a,1),17(a,1,2))]. 3996 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2847(a,1),3964(a,1,2))]. 3997 T(x,y / x) \ x = y / (x * (y / x)). [hyper(768,a,3994,a),flip(a)]. 3998 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(220,a,3712,a,b,3994,a(flip)),flip(a)]. 3999 (T(x,y) \ x) * (x * y) = y * x. [para(66(a,1),3994(a,1,2)),flip(a)]. 4000 K(x,y) = T(T(y,x) \ y,y * x). [hyper(160,a,3999,a,b,98,a),flip(a)]. 4001 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,3999,a)]. 4003 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),4001(a,1,2)),flip(a)]. 4004 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4001(a,2),3156(a,1,2,1)),flip(a)]. 4005 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(220,a,3839,a(flip),b,4004,a),flip(a)]. 4006 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1560(a,1),4005(a,1,2))]. 4007 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3996(a,1),3848(a,1,2,1))]. 4008 (x * (y / x)) / y = (x \ y) \ (y / x). [para(120(a,1),4003(a,1,1)),flip(a)]. 4009 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(220,a,3722,a(flip),b,4008,a)]. 4010 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(220,a,3732,a(flip),b,4009,a(flip))]. 4012 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3982(a,1,2))]. 4014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3718(a,1),4012(a,1))]. 4015 R(K(x,y),x,z) = K(x,y). [hyper(220,a,3723,a,b,3983,a)]. 4017 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4015(a,1),114(a,1,1)),flip(a)]. 4018 L(x,y,K(y,z)) = x. [hyper(388,a,4017,a)]. 4020 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3046(a,1),4017(a,1,1))]. 4021 L(x,y,K(y,z)) = 1 * x. [hyper(220,a,14,a,b,4018,a)]. 4022 L(x,y / z,(z * (y / z)) \ y) = x. [para(102(a,2),4018(a,1,3))]. 4026 L(x,y,K(y,z)) != u | u = x. [para(4021(a,2),73(a,1))]. 4028 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1048,a,3985,a),flip(a)]. 4030 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4010(a,1),2954(a,1,1))]. 4031 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2946,a,4030,a),flip(a)]. 4032 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),4031(a,1,2,2))]. 4033 T(x,(x / y) \ 1) = T(x,x \ y). [para(66(a,1),4031(a,1,2,2)),flip(a)]. 4034 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4031(a,1),157(a,1,2))]. 4036 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4031(a,1),3726(a,1,1)),flip(a)]. 4037 (x / y) \ T(x,x \ y) = x * (y / x). [para(4033(a,1),3754(a,1,2))]. 4038 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(66(a,1),4034(a,1,2,2))]. 4039 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(18(a,1),4037(a,2,2))]. 4040 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4037(a,1),1698(a,1,1,2,1))]. 4042 x / T(y * x,y \ 1) = (y * x) \ x. [para(4032(a,1),191(a,1,2))]. 4044 ((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y). [hyper(87,a,4038,a)]. 4045 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(35(a,2),4039(a,1,2,2))]. 4047 (x \ ((1 / y) \ x)) * T(x,y) != z | (1 / y) \ x = z. [para(4044(a,1),214(a,1,1)),flip(b)]. 4048 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4031(a,1),3974(a,1,1))]. 4049 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2780(a,1),4048(a,2,2))]. 4050 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(4007(a,1),22(a,1))]. 4051 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(220,a,3694,a(flip),b,4028,a(flip)),flip(a)]. 4052 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4028(a,1),3718(a,1,1)),flip(a)]. 4053 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(220,a,4036,a(flip),b,4051,a(flip)),flip(a)]. 4054 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(220,a,1246,a,b,4053,a),flip(a)]. 4055 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(220,a,810,a(flip),b,4053,a)]. 4058 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4053(a,2),396(a,1,1))]. 4059 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4054(a,2),2845(a,1,1))]. 4060 T(x,y) \ x = y \ T(y,x). [para(3083(a,1),4055(a,1,1))]. 4061 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(220,a,3694,a(flip),b,4060,a)]. 4062 (x * y) / x = y * (T(y,x) \ y). [para(4060(a,2),3691(a,1,2)),flip(a)]. 4063 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4060(a,2),3915(a,1,2,1))]. 4064 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4060(a,2),3920(a,1,1)),flip(a)]. 4065 K(x,y) = T(x \ T(x,y),y * x). [para(4060(a,1),4000(a,2,1))]. 4066 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(220,a,3727,a,b,4062,a)]. 4068 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4062(a,2),3763(a,1,1))]. 4069 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(220,a,3770,a,b,4065,a),flip(a)]. 4070 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(63(a,1),4059(a,1,1,1,2)),flip(a)]. 4071 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(220,a,3997,a(flip),b,4061,a(flip)),flip(a)]. 4072 T(x,T(y,x)) = T(x,y). [hyper(3990,a,4063,a)]. 4073 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,968,a,b,4063,a)]. 4074 T(x,y) * T(y,x) = x * y. [para(2844(a,1),4063(a,1,2)),flip(a)]. 4075 x * (T(x,y) \ y) = T(y,x). [hyper(4014,a,4072,a)]. 4076 T(x,y) \ (x * y) = T(y,x). [hyper(967,a,4072,a)]. 4077 R(T(x,x * y),y,x) = T(x,y). [hyper(220,a,3989,a,b,4072,a(flip)),flip(a)]. 4078 (x / T(y,x)) * y = T(x,y). [hyper(220,a,3938,a,b,4072,a(flip)),flip(a)]. 4079 (T(x,y) / y) \ x = T(y,x). [hyper(220,a,1135,a,b,4072,a(flip)),flip(a)]. 4080 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(220,a,4006,a(flip),b,4072,a(flip))]. 4081 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(220,a,246,a(flip),b,4072,a(flip))]. 4082 T(x,y) / y = x / T(y,x). [hyper(72,a,4072,a(flip),b,3938,a)]. 4083 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,4072,a(flip),b,922,a)]. 4084 T(x,y) \ y = x \ T(y,x). [hyper(71,a,4072,a(flip),b,922,a),flip(a)]. 4085 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),4072(a,1,2))]. 4086 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(4072(a,1),43(a,1,1)),flip(a)]. 4087 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(43(a,2),4072(a,1,2))]. 4088 T(x,y / x) = T(x,x \ y). [para(120(a,1),4072(a,1,2)),flip(a)]. 4089 T(x,(x * y) / x) = T(x,y). [para(154(a,1),4072(a,1,2)),flip(a)]. 4091 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4072(a,1),171(a,1,2,1))]. 4092 (x * y) / T(y,x) = T(x,y). [para(4072(a,1),193(a,1,2))]. 4093 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4072(a,1),172(a,1,2,1))]. 4094 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4072(a,1),173(a,1,2,1))]. 4095 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(612(a,1),4072(a,1,2))]. 4099 K(T(x,y),T(y,x)) = K(x,y). [para(4072(a,1),3987(a,1,1))]. 4100 (x / (y * x)) \ T(x,y) = x * y. [para(4072(a,1),4045(a,1,2))]. 4101 T(x,y) * (x \ T(y,x)) = y. [hyper(920,a,4074,a)]. 4103 x * T(y,z) != z * y | T(z,y) = x. [para(4074(a,1),23(a,1)),flip(a)]. 4104 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4074(a,1),27(a,2,1,2)),flip(a)]. 4105 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4074(a,1),27(a,2,2,1)),flip(a)]. 4107 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4074(a,1),103(a,1,1))]. 4108 K(T(x,y) \ y,z) = K(x \ T(y,x),z). [para(4075(a,1),580(a,1,1,2)),flip(a)]. 4109 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),4076(a,1,1)),flip(a)]. 4110 T(x,y) = (x * (x * y)) / (y * x). [hyper(220,a,1151,a,b,4078,a(flip))]. 4112 T(x * (y / x),x) = x * (y / T(x,y)). [para(4082(a,1),1426(a,2,2))]. 4113 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(41(a,1),4083(a,1,2,1))]. 4114 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(4084(a,2),99(a,1,2,1))]. 4115 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4084(a,1),96(a,1,1,2,1))]. 4116 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4084(a,2),1419(a,2,1))]. 4117 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4084(a,1),1703(a,1,2,1))]. 4119 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(220,a,668,a,b,4088,a(flip)),flip(a)]. 4120 (x * (y / x)) / T(x,x \ y) = y / x. [para(4088(a,1),135(a,1,2))]. 4122 (x * (y / x)) * x = y * T(x,x \ y). [para(4088(a,1),774(a,2,2))]. 4123 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4088(a,1),786(a,1,2,2))]. 4124 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4088(a,2),3761(a,1,2,1))]. 4125 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4092(a,1),1132(a,1,1)),flip(a)]. 4126 T(x,y) \ y != z * u | (x \ T(y,x)) / u = z. [para(4101(a,1),372(a,1,2))]. 4127 R(T(x,y),x \ y,x) = T(x,x \ y). [para(17(a,1),4077(a,1,1,2))]. 4128 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). [para(4077(a,1),3427(a,1,1)),flip(a)]. 4129 T(x,(1 / x) * y) = T(x,x \ y). [hyper(220,a,2778,a,b,4080,a(flip)),flip(a)]. 4130 ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). [para(4080(a,1),537(a,2,1))]. 4131 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4080(a,1),3804(a,2,1,2))]. 4132 x / T(y \ x,y) = (y \ x) \ x. [para(4081(a,2),63(a,1,2))]. 4134 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4081(a,1),647(a,1,1))]. 4135 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4072(a,1),4085(a,1,2)),flip(a)]. 4136 T(x,y) / (x * y) = x / (y * x). [para(4100(a,1),63(a,1,2))]. 4137 x / T(y,(1 / y) * x) = y \ x. [para(4129(a,2),191(a,1,2))]. 4138 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(220,a,151,a,b,4136,a)]. 4139 T(x,x \ y) / y = x / ((x \ y) * x). [para(17(a,1),4136(a,1,2))]. 4140 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(63(a,1),4137(a,1,2,2,1))]. 4141 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(576,a,4138,a)]. 4142 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(220,a,3994,a,b,4064,a),flip(a)]. 4143 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4066(a,1),19(a,1,1))]. 4144 T(x / (x / y),y \ x) = y. [para(4066(a,1),154(a,1,1))]. 4146 T(x / (x / y),x) = L(y,y \ x,y). [para(4066(a,1),621(a,1,1))]. 4147 T(x / (x / (x / y)),y) = x / y. [para(66(a,1),4144(a,1,2))]. 4148 (x * (y / x)) / x = y / (y / (y / x)). [para(4147(a,1),155(a,1,1,2))]. 4149 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4146(a,2),43(a,2,1)),flip(a)]. 4150 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4146(a,2),384(a,1,2))]. 4151 K(x \ y,x) \ x = x * K(x,y / x). [hyper(220,a,3739,a(flip),b,4070,a(flip))]. 4152 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(4087(a,1),41(a,1,1)),flip(a)]. 4153 T(x,x * (y / T(x,y))) = T(x,x * (y / x)). [para(4112(a,1),4072(a,1,2))]. 4154 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4116(a,2),4110(a,2,2)),flip(a)]. 4155 (x * (y / x)) * x = y * ((x \ y) \ y). [hyper(220,a,241,a(flip),b,4122,a)]. 4156 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4031(a,1),4139(a,1,1))]. 4157 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4140(a,1),66(a,1,1)),flip(a)]. 4158 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(120(a,1),4141(a,1,3)),flip(a)]. 4159 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(220,a,1157,a,b,4143,a(flip)),flip(a)]. 4160 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4148(a,1),729(a,1,1))]. 4161 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3794,a,4151,a)]. 4162 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),4161(a,1,1,1)),flip(a)]. 4164 K(T(x,y),y) = K(y,x) \ 1. [hyper(220,a,3988,a,b,4162,a(flip)),flip(a)]. 4165 K(T(x,y),y) \ 1 = K(y,x). [para(155(a,1),4162(a,1,2)),flip(a)]. 4167 K(T(x,y),y) * K(y,x) = 1. [para(4164(a,2),2433(a,1,1))]. 4168 x * K(T(y,x),x) = K(x,y) \ x. [para(4164(a,2),3316(a,1,2))]. 4169 R(x,K(x,y),z) = x. [para(4165(a,1),3967(a,1,2))]. 4171 R(T(x,y),K(x,z),u) = T(x,y). [para(4169(a,1),45(a,2,1))]. 4172 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4169(a,1),114(a,1,1)),flip(a)]. 4173 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4169(a,1),424(a,1,1,1)),flip(a)]. 4176 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4167(a,1),22(a,1)),flip(a)]. 4177 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4167(a,1),209(a,1,2)),flip(b)]. 4178 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4171(a,1),425(a,1,1,1)),flip(a)]. 4179 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4168(a,1),22(a,1))]. 4181 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4164(a,2),4177(a,1))]. 4182 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(160,a,4155,a,b,17,a)]. 4184 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4159(a,1),19(a,1,1))]. 4185 L(x,K(y,z),y) = x. [hyper(388,a,4172,a)]. 4186 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(220,a,4020,a(flip),b,4172,a(flip)),flip(a)]. 4187 L(x,K(y,z),y) = L(x,u / w,(w * (u / w)) \ u). [hyper(220,a,4022,a,b,4185,a)]. 4188 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(66(a,1),4184(a,1,1,1))]. 4189 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(555,a,4186,a),flip(a)]. 4190 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(520,a,4186,a)]. 4195 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(4189(a,1),209(a,1,2)),flip(b)]. 4197 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3986(a,2),4181(a,1))]. 4198 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(220,a,846,a(flip),b,4073,a)]. 4200 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4072(a,1),4113(a,1,2,1))]. 4201 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(220,a,4085,a(flip),b,4135,a)]. 4202 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(220,a,1185,a,b,4142,a(flip)),flip(a)]. 4204 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(213,a,4150,a)]. 4205 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [hyper(3203,a,4204,a),flip(a)]. 4206 T(x,((y / (y / x)) * y) / x) = T(x,(x \ y) * x). [para(4204(a,2),4089(a,1,2,1))]. 4207 R(1 / x,x,y / x) = (x \ y) / y. [hyper(220,a,303,a(flip),b,4158,a)]. 4208 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(220,a,151,a(flip),b,4207,a(flip)),flip(a)]. 4209 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4208(a,1),19(a,1,1))]. 4210 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(220,a,4112,a(flip),b,4182,a(flip))]. 4212 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(220,a,3719,a(flip),b,4052,a)]. 4213 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(220,a,4072,a(flip),b,4212,a(flip))]. 4214 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(220,a,4072,a(flip),b,4213,a(flip))]. 4216 T(x,(y / z) \ 1) = T(x,z / y). [para(66(a,1),4214(a,1,2,1)),flip(a)]. 4219 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4216(a,1),3844(a,1,1,2))]. 4220 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4080(a,1),4069(a,1,2,2,1))]. 4221 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4220(a,1),17(a,1,2)),flip(a)]. 4222 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3771,a,4221,a)]. 4223 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(220,a,3790,a,b,4222,a(flip)),flip(a)]. 4224 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(220,a,3806,a(flip),b,4223,a)]. 4225 K((x \ 1) * y,x) = K(x \ y,x). [para(16(a,1),4224(a,1,1,2)),flip(a)]. 4226 K((1 / x) * y,x) = K(x \ y,x). [hyper(220,a,3830,a,b,4225,a(flip)),flip(a)]. 4227 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(35(a,2),4226(a,2,1))]. 4228 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(63(a,1),4226(a,1,1,1)),flip(a)]. 4229 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(761(a,1),4227(a,1,1))]. 4230 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(220,a,3834,a(flip),b,4229,a(flip)),flip(a)]. 4231 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4230(a,1),4165(a,1,1))]. 4232 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4177,a,4231,a),flip(a)]. 4233 K(x,(x \ 1) * y) != z | K(x,x \ y) = z. [para(4231(a,1),4177(a,1))]. 4234 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(610(a,1),4093(a,1,2))]. 4235 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4094(a,1),164(a,1,1,2))]. 4236 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4077(a,1),4094(a,1,2)),flip(a)]. 4237 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4119(a,1),4094(a,1,2)),flip(a)]. 4238 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4127(a,1),4094(a,1,2)),flip(a)]. 4239 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3083(a,1),4156(a,1,1))]. 4240 (x * (y / x)) * (y / (y / x)) = y * x. [para(66(a,1),4188(a,2,2))]. 4241 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(18(a,1),4240(a,1,1,2))]. 4242 R(K(x,y),x,z) != u | K(x,y) = u. [para(3983(a,2),4197(a,1))]. 4243 (x * y) * ((y * x) / y) = (y * x) * x. [para(18(a,1),4241(a,1,2,2))]. 4245 (x * y) \ ((y * x) * x) != z | (y * x) / y = z. [para(4243(a,1),209(a,1,2)),flip(b)]. 4246 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,4237,a,b,4238,a),flip(a)]. 4248 L(x,K(y,z),L(y,u,w)) = x. [hyper(388,a,4173,a)]. 4249 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3051(a,1),4173(a,1,1))]. 4250 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(4239(a,2),66(a,1,1))]. 4251 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),4219(a,1,1,2,2))]. 4252 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(220,a,3101,a(flip),b,4251,a(flip))]. 4253 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3920(a,1),3968(a,2,2))]. 4254 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2786(a,1),3969(a,1,2))]. 4255 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(220,a,3264,a(flip),b,4254,a(flip))]. 4256 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(220,a,4091,a(flip),b,4125,a)]. 4257 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(220,a,3975,a(flip),b,4131,a)]. 4258 ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. [para(767(a,1),3948(a,1,2))]. 4260 T(x * ((y \ x) \ 1),x) != z * ((y \ x) \ 1) | (y * x) / y = z. [para(4258(a,1),86(a,1,2)),flip(a),flip(b)]. 4261 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4252(a,1),3998(a,1,1))]. 4262 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4012,a,4261,a),flip(a)]. 4263 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3982,a,4261,a),flip(a)]. 4265 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(220,a,4198,a(flip),b,4262,a(flip))]. 4266 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(220,a,4073,a(flip),b,4262,a(flip)),flip(a)]. 4269 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,17,a(flip),b,4263,a)]. 4270 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(220,a,4064,a,b,4263,a(flip)),flip(a)]. 4272 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4263,a(flip),b,3994,a),flip(a)]. 4275 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4263(a,1),4063(a,1,2)),flip(a)]. 4276 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4270(a,2),485(a,1))]. 4279 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(220,a,103,a,b,4275,a)]. 4280 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [hyper(71,a,4275,a(flip),b,4107,a)]. 4283 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4266(a,1),1085(a,1))]. 4284 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(317,a,4279,a),flip(a)]. 4285 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(20,a,4107,a,b,4279,a(flip)),flip(a)]. 4286 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(120(a,1),4285(a,1,2))]. 4287 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4088(a,1),4286(a,1,3))]. 4288 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4280(a,1),396(a,1))]. 4289 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4275(a,1),4105(a,1,1))]. 4290 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(597,a,4289,a),flip(a)]. 4291 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4289(a,1),597(a,1))]. 4292 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. [para(57(a,1),4130(a,1,2)),flip(a)]. 4293 R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). [para(35(a,2),4292(a,1,1,2))]. 4294 ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). [para(4072(a,1),4293(a,1,1)),flip(a)]. 4295 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4294(a,1),2728(a,1,2)),flip(a)]. 4296 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4075(a,1),4154(a,1,1,2))]. 4297 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(118(a,1),4296(a,1,1))]. 4298 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4201(a,1),4200(a,1,1))]. 4299 T(x,T(y,T(x,z))) = T(x,y). [hyper(220,a,4113,a(flip),b,4298,a(flip))]. 4302 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(178(a,1),4299(a,1,2,2))]. 4303 T(x,R(y / T(x,z),u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(177(a,1),4299(a,1,2)),flip(a)]. 4306 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4302(a,1),4149(a,1,1))]. 4307 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3105(a,1),4255(a,1,1)),flip(a)]. 4308 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3949,a,4272,a),flip(a)]. 4309 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(641,a,4308,a),flip(a)]. 4310 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [hyper(220,a,4287,a(flip),b,3977,a(flip))]. 4311 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(130(a,1),3961(a,1,1))]. 4312 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(130(a,1),4311(a,1,2,1,1)),flip(a)]. 4313 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(220,a,1823,a(flip),b,4312,a)]. 4314 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(16(a,1),4313(a,1,1,2,1)),flip(a)]. 4315 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(16(a,1),4314(a,1,1,2,1)),flip(a)]. 4316 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4058,a,4269,a),flip(a)]. 4317 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(220,a,4253,a(flip),b,4316,a(flip)),flip(a)]. 4318 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4270(a,1),4317(a,1,2)),flip(a)]. 4319 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(220,a,180,a(flip),b,4318,a)]. 4321 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1333(a,1),4235(a,1,1))]. 4322 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1056(a,1),4321(a,1,2))]. 4323 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(597,a,4322,a),flip(a)]. 4325 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4290,a,b,4323,a(flip)),flip(a)]. 4326 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4072(a,1),4325(a,1,1))]. 4327 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3443(a,2),3533(a,1,1))]. 4328 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). [para(4077(a,1),4128(a,2,2,1,1))]. 4329 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(1835(a,1),4328(a,1,1))]. 4331 R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. [para(4329(a,2),1864(a,1))]. 4332 (K(x,x \ 1) * (y * z)) \ (K(x,x \ 1) * (y * (z * u))) = L(u,L(z,y,K(x,x \ 1)),K(x,x \ 1) * y). [para(3589(a,1),3594(a,1,2))]. 4333 (K(x,x \ 1) * ((y * z) * u)) / (K(x,x \ 1) * (z * u)) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(3623(a,1),3646(a,1,2))]. 4334 L(L(x,y,z),z * y,K(u,u \ 1)) = L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z). [hyper(683,a,4332,a)]. 4337 K(x,x \ 1) * (((y * z) * u) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [hyper(220,a,3591,a(flip),b,4333,a(flip)),flip(a)]. 4338 K(x,x \ 1) * ((R(y,z,u) * (z * u)) / (K(x,x \ 1) * (z * u))) = R(R(y,z,K(x,x \ 1)),z * K(x,x \ 1),u). [para(114(a,2),4337(a,1,2,1))]. 4339 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4120(a,1),4040(a,1,1,2)),flip(a)]. 4340 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(220,a,1689,a(flip),b,4339,a)]. 4341 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4037(a,1),4340(a,1,3))]. 4342 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(66(a,1),4049(a,1,1,2))]. 4343 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(43(a,2),4342(a,1,1))]. 4344 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4343(a,1,1))]. 4345 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(66(a,1),4344(a,1,2,2,2))]. 4346 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(43(a,2),4345(a,1,2,2))]. 4347 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2774(a,1),4346(a,1,2,2))]. 4348 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(16(a,1),4347(a,1,2))]. 4350 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = ((1 / x) * ((1 / x) \ T(y,x))) \ ((x \ ((1 / x) \ y)) * x). [para(831(a,1),4348(a,1,1,2)),flip(a)]. 4351 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4348(a,1),4295(a,1,1)),flip(a)]. 4352 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(4351(a,1),66(a,1,1))]. 4353 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(220,a,2782,a(flip),b,4352,a(flip)),flip(a)]. 4354 R(R(x,y,K(z,z \ 1)),y * K(z,z \ 1),u) = R(R(x,y,u),K(z,z \ 1),y * u). [hyper(220,a,3666,a(flip),b,4338,a(flip))]. 4355 R(R(x,1 / y,K(z,z \ 1)),K(z,z \ 1) / y,u) = R(R(x,1 / y,u),K(z,z \ 1),(1 / y) * u). [para(3603(a,1),4354(a,1,2))]. 4356 R(R(x,1 / y,K(z \ 1,z)),K(z \ 1,(z \ 1) \ 1) / y,u) = R(R(x,1 / y,u),K(z \ 1,(z \ 1) \ 1),(1 / y) * u). [para(1765(a,1),4355(a,1,1,3))]. 4357 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((x \ ((1 / x) \ y)) * x). [hyper(220,a,333,a(flip),b,4350,a)]. 4359 L(x \ ((1 / x) \ y),x,x \ 1) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(831(a,1),4357(a,2,2))]. 4360 ((1 / x) * ((1 / x) \ y)) \ (x * (x \ ((1 / x) \ y))) = T(y,x) \ ((1 / x) \ T(y,x)). [para(2770(a,1),4359(a,1,1))]. 4361 T(x,y) \ ((1 / y) \ T(x,y)) = x \ (y * (y \ ((1 / y) \ x))). [hyper(220,a,333,a(flip),b,4360,a(flip))]. 4363 T(x,y) \ ((1 / y) \ T(x,y)) = x \ ((1 / y) \ x). [para(17(a,1),4361(a,2,2))]. 4365 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,(y \ 1) \ 1) / y,z). [para(2594(a,1),4356(a,1,1)),flip(a)]. 4366 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,K(y \ 1,y) / y,z). [para(1765(a,1),4365(a,2,2,1))]. 4367 R(R(x,1 / y,z),K(y \ 1,(y \ 1) \ 1),(1 / y) * z) = R(x,y \ 1,z). [para(258(a,1),4366(a,2,2))]. 4368 R(R(x,1 / y,z),K(y \ 1,y),(1 / y) * z) = R(x,y \ 1,z). [para(1765(a,1),4367(a,1,2))]. 4369 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),3128(a,1,2,1))]. 4370 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(60(a,1),4369(a,1,2))]. 4372 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(207,a,4370,a)]. 4375 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2331(a,1),4372(a,1,1))]. 4377 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(524(a,1),3294(a,1,1)),flip(a)]. 4378 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(524(a,1),3878(a,1,2,2,2))]. 4379 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(66(a,1),4377(a,1,2,1,1,1))]. 4380 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2907,a,b,4379,a),flip(a)]. 4381 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3236,a(flip),b,4379,a(flip))]. 4382 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(4380(a,1),2823(a,1,2))]. 4383 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4307(a,1),4381(a,1,2))]. 4384 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4383(a,1),230(a,1,1)),flip(a)]. 4385 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4382(a,1),3107(a,1,2))]. 4386 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(4385(a,1),396(a,1))]. 4387 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(4386,a,3597,a)]. 4388 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,105,a(flip),b,4387,a(flip))]. 4389 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(220,a,4319,a(flip),b,4388,a(flip)),flip(a)]. 4391 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4389(a,1),3398(a,2,2))]. 4392 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(220,a,4384,a(flip),b,4391,a)]. 4393 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3855,a,4392,a)]. 4395 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(220,a,89,a(flip),b,4393,a)]. 4397 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4395(a,1),2911(a,1,2))]. 4398 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4397(a,1),3867(a,1,2)),flip(a)]. 4400 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(220,a,2657,a(flip),b,4398,a)]. 4404 R(x,1 / y,z) = R(x,y \ 1,z). [hyper(220,a,4368,a(flip),b,4400,a(flip))]. 4405 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4400(a,1,3))]. 4408 R(x,y,K(z \ 1,z)) = x. [hyper(220,a,3669,a(flip),b,4405,a(flip)),flip(a)]. 4414 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(220,a,3651,a(flip),b,4408,a(flip))]. 4415 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(220,a,3641,a(flip),b,4408,a(flip)),flip(a)]. 4416 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(220,a,3572,a(flip),b,4408,a(flip))]. 4417 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(220,a,3378,a(flip),b,4408,a(flip))]. 4418 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(220,a,2664,a(flip),b,4408,a(flip))]. 4419 R(x,y,K(z,1 / z)) = x. [para(66(a,1),4408(a,1,3,1))]. 4420 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4408(a,1),114(a,1,1)),flip(a)]. 4421 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4408(a,1),326(a,1,1)),flip(a)]. 4422 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4408(a,1),414(a,1,1))]. 4424 x * K(y \ 1,y) != z * (u * K(y \ 1,y)) | z * u = x. [para(4408(a,1),374(a,1,1)),flip(a)]. 4426 R(x,y,K(1 / z,z)) = x. [para(1786(a,2),4408(a,1,3))]. 4428 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(220,a,3868,a(flip),b,4419,a(flip))]. 4429 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4419(a,1),114(a,1,1)),flip(a)]. 4430 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4426(a,1),114(a,1,1)),flip(a)]. 4432 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(63(a,1),4404(a,1,2)),flip(a)]. 4434 T(x,y * K(z,z \ 1)) = T(x,y). [para(1762(a,1),4416(a,1,2,2))]. 4435 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2409(a,1),4416(a,1,2))]. 4436 T(x,K(y \ 1,y) * z) = T(x,z). [para(2513(a,2),4416(a,1,2))]. 4437 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2589(a,1),4416(a,1,2)),flip(a)]. 4438 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2708(a,1),4416(a,1,2))]. 4439 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2809(a,1),4416(a,1,2)),flip(a)]. 4440 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2924(a,1),4416(a,1,2))]. 4441 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(2903(a,1),4416(a,1,2)),flip(a)]. 4445 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4417(a,1),114(a,1,1))]. 4446 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4432(a,1),114(a,1,1))]. 4447 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(220,a,3444,a(flip),b,4434,a)]. 4448 T(x,K(y,1 / y) * z) = T(x,z). [para(66(a,1),4436(a,1,2,1,1))]. 4450 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(1799(a,1),4436(a,1,2))]. 4452 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4414(a,1),4265(a,1,2,1))]. 4453 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(1805(a,2),4440(a,1,2,1))]. 4455 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2523,a,4421,a)]. 4456 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(3604,a,4415,a)]. 4458 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4456(a,1),3444(a,1,2,1)),flip(a)]. 4460 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2639(a,1),4418(a,2,2))]. 4461 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(388,a,4420,a)]. 4462 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(220,a,2535,a,b,4420,a)]. 4464 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4420(a,1),3554(a,1,1))]. 4465 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4420(a,1),4415(a,1,2))]. 4466 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4461,a)]. 4467 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(220,a,2525,a(flip),b,4461,a(flip)),flip(a)]. 4470 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2397(a,1),4461(a,1,1))]. 4471 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(4461(a,1),2563(a,1,1))]. 4472 (x * (y * K(z \ 1,z))) \ (K(z \ 1,z) * (x * y)) = 1. [hyper(220,a,2533,a,b,4466,a(flip)),flip(a)]. 4473 a(x,y,K(z,z \ 1)) = 1. [para(1762(a,1),4466(a,1,3))]. 4474 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4473,a)]. 4476 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(220,a,1303,a,b,4467,a(flip)),flip(a)]. 4477 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [para(4474(a,1),384(a,1,2)),flip(a)]. 4479 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(220,a,2513,a,b,4422,a)]. 4480 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(220,a,3587,a,b,4422,a(flip)),flip(a)]. 4481 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1021(a,1),4422(a,1,2)),flip(a)]. 4482 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2675,a,4481,a)]. 4483 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4481(a,1),4416(a,1,2)),flip(a)]. 4485 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(220,a,2511,a,b,4429,a(flip)),flip(a)]. 4488 T(x,y * (K(z \ 1,z) * u)) = T(x,y * u). [para(4462(a,1),4416(a,1,2))]. 4489 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2592(a,1),4488(a,1,2,2)),flip(a)]. 4490 x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. [hyper(555,a,4471,a),flip(a)]. 4491 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(520,a,4471,a)]. 4498 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(71,a,2499,a,b,4477,a)]. 4499 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(220,a,3587,a,b,4479,a(flip)),flip(a)]. 4500 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = K(u \ 1,u) * L(z,y,x). [para(31(a,2),4479(a,2,2))]. 4501 x \ (y * (K(z \ 1,z) * u)) = K(z \ 1,z) * (x \ (y * u)). [para(4462(a,1),4479(a,1,2))]. 4503 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4480(a,2),4416(a,1,2))]. 4504 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2821(a,1),4503(a,1,2,1)),flip(a)]. 4505 x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. [para(4490(a,1),209(a,1,2)),flip(b)]. 4510 K(x,x \ 1) * (y \ (K(x \ 1,x) * z)) = y \ z. [hyper(2677,a,4491,a(flip))]. 4511 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(220,a,3620,a(flip),b,4491,a(flip))]. 4512 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(220,a,2499,a,b,4498,a)]. 4515 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [para(3556(a,1),4510(a,1,2)),flip(a)]. 4517 x * (K(y,y \ 1) * (x \ z)) = K(y,y \ 1) * z. [para(4512(a,1),17(a,1,2))]. 4519 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2766(a,1),4515(a,1,1)),flip(a)]. 4520 (x * (K(y \ 1,y) * z)) \ u = K(y,y \ 1) * ((x * z) \ u). [para(4471(a,1),4515(a,1,1))]. 4521 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(16(a,1),4517(a,1,2,2)),flip(a)]. 4528 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2672(a,1),4521(a,2,2))]. 4529 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2673(a,1),4521(a,2,2))]. 4530 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2800(a,1),4521(a,2,2))]. 4531 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4521(a,1),4480(a,1,1))]. 4532 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4521(a,1),4498(a,1,2))]. 4534 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4470(a,1),3583(a,1)),flip(b)]. 4535 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4470(a,2),4534(a,1))]. 4536 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4283,a,4452,a)]. 4537 T(x * (y / x),z) = x * (T(y,z) / x). [para(4536(a,1),17(a,1,2)),flip(a)]. 4538 T(x * y,z) / y = y \ T(y * x,z). [para(18(a,1),4536(a,1,2,1,2)),flip(a)]. 4539 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4536(a,2),19(a,1,1))]. 4540 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(63(a,1),4536(a,1,2,1,2))]. 4542 T((x \ y) * x,z) / x = x \ T(y,z). [para(62(a,1),4536(a,1,2,1)),flip(a)]. 4546 T(x * (y / x),y) = x * (y / x). [para(117(a,1),4537(a,2,2,1))]. 4547 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(120(a,1),4537(a,2,2,1))]. 4550 T(x * (y / x),K(z,y)) = x * (y / x). [para(2857(a,1),4537(a,2,2,1))]. 4551 T(x * (y / x),K(y,z)) = x * (y / x). [para(3044(a,1),4537(a,2,2,1))]. 4552 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4088(a,1),4537(a,2,2,1))]. 4553 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(824,a,4538,a)]. 4554 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(220,a,755,a,b,4538,a),flip(a)]. 4555 T(x * (1 / y),z) / (1 / y) = y * T(y \ x,z). [hyper(220,a,762,a(flip),b,4538,a)]. 4556 (x \ T(x * y,z)) * x = T(y * x,z). [para(4538(a,1),19(a,1,1))]. 4557 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4538(a,1),120(a,1,1))]. 4558 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(98(a,1),4538(a,2,2,1))]. 4559 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4538(a,1),3781(a,1,2))]. 4560 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(220,a,2689,a,b,4539,a(flip)),flip(a)]. 4561 (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)) = T(y,z). [hyper(220,a,1515,a,b,4539,a(flip)),flip(a)]. 4562 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(62(a,1),4539(a,1,1,2,1)),flip(a)]. 4563 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4542(a,1),120(a,1,1)),flip(a)]. 4565 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4542(a,1),214(a,1,1)),flip(b)]. 4567 T(x * (y / x),K(z,y)) != x * u | y / x = u. [para(4550(a,2),22(a,1))]. 4568 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(3812(a,1),4550(a,1,2))]. 4569 T(K(x,y),z * (x / z)) = K(x,y). [hyper(38,a,4551,a)]. 4570 T(K(x * y,z),y * x) = K(x * y,z). [para(18(a,1),4569(a,1,2,2))]. 4571 ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [hyper(220,a,4182,a(flip),b,4556,a)]. 4572 x * R(y,x,y) = T(y * x,y). [hyper(220,a,3993,a(flip),b,4556,a(flip)),flip(a)]. 4573 x \ T(y * x,y) = R(y,x,y). [hyper(71,a,4556,a(flip),b,3993,a(flip))]. 4576 R(x,y,T(x,y)) = R(x,y,x). [hyper(20,a,960,a,b,4572,a),flip(a)]. 4577 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4572(a,1),31(a,2,2,2)),flip(a)]. 4578 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4572(a,1),1662(a,1,1))]. 4579 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4572(a,1),2324(a,2,1))]. 4580 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [hyper(220,a,170,a,b,4576,a(flip)),flip(a)]. 4581 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),4573(a,1,2,1)),flip(a)]. 4582 L(R(x,y,x),y,x) = x. [para(4573(a,1),383(a,1,1))]. 4583 (L(x,y,x) * y) * x = x * (y * x). [para(4582(a,1),424(a,1,1)),flip(a)]. 4584 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(220,a,4246,a,b,4581,a(flip)),flip(a)]. 4586 (x * (y * x)) / x = L(x,y,x) * y. [hyper(87,a,4583,a)]. 4587 x * T(y,x * y) = L(y,x,y) * x. [hyper(21,a,1107,a,b,4583,a),flip(a)]. 4589 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(18(a,1),4584(a,1,2)),flip(a)]. 4591 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(220,a,618,a(flip),b,4586,a)]. 4592 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(71,a,4586,a,b,xx)]. 4594 L(x,y,(y * x) / y) = L(x,y,x). [hyper(798,a,4587,a)]. 4595 T(x,y * x) = T(x,x * y). [hyper(20,a,614,a,b,4587,a)]. 4596 T(x,(x \ y) * x) = T(x,y). [hyper(20,a,618,a(flip),b,4587,a)]. 4597 L(x,y / x,x) * (y / x) = (y / x) * T(x,y). [para(19(a,1),4587(a,1,2,2)),flip(a)]. 4598 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(220,a,45,a,b,4595,a(flip)),flip(a)]. 4599 T(x,x * (y / x)) = T(x,y). [para(19(a,1),4595(a,1,2)),flip(a)]. 4600 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4595(a,1),41(a,1,1))]. 4601 T(x,T(y,y * x)) = T(x,y). [para(4595(a,1),3960(a,1,2))]. 4602 T(x,((y / (y / x)) * y) / x) = T(x,y). [hyper(220,a,4206,a,b,4596,a(flip)),flip(a)]. 4603 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4596(a,1),4078(a,1,1,2))]. 4604 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4556(a,1),4596(a,1,2))]. 4605 T(x,x * (y / T(x,y))) = T(x,y). [hyper(220,a,4153,a,b,4599,a(flip)),flip(a)]. 4606 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4599(a,1),4101(a,1,1))]. 4607 T(x,L(y,x,y)) = T(x,y). [hyper(220,a,4095,a(flip),b,4601,a(flip)),flip(a)]. 4608 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4601(a,1),316(a,1,2,1))]. 4609 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4607(a,1),118(a,1,2))]. 4611 L(x \ y,x,y / x) = L(x \ y,x,x \ y). [para(17(a,1),4594(a,1,3,1))]. 4613 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4562(a,2),23(a,1))]. 4614 T((x \ y) * x,y) = (x \ y) * x. [para(117(a,1),4562(a,2,1,2))]. 4615 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4562(a,1),118(a,1,2))]. 4616 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(120(a,1),4562(a,2,1,2))]. 4617 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4562(a,2),3908(a,1,1,1,2))]. 4618 T(x,(y \ x) * y) = x. [hyper(38,a,4614,a)]. 4619 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4618(a,1),3947(a,1,1)),flip(a)]. 4620 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4570(a,1),213(a,1,2))]. 4621 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(220,a,41,a,b,4600,a(flip))]. 4622 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(220,a,4234,a,b,4609,a(flip)),flip(a)]. 4625 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4595(a,2),4622(a,1,2))]. 4626 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(722,a,4625,a)]. 4628 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4547(a,1),118(a,1,2)),flip(a)]. 4629 ((x / (x / y)) * x) / y = (y \ x) * T(y,x). [para(4204(a,2),4591(a,1,1))]. 4630 L(x \ y,x,x \ y) = T(y / x,y). [hyper(649,a,4611,a),flip(a)]. 4631 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(120(a,1),4615(a,1,2,1,2)),flip(a)]. 4633 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4616(a,1),155(a,1,1,2))]. 4635 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(4050,a,4619,a)]. 4636 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(4068(a,1),4635(a,1,1))]. 4637 K(x \ T(y,x),x) = K(x \ y,x). [para(155(a,1),4636(a,1,1,2)),flip(a)]. 4638 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(220,a,4114,a,b,4637,a(flip)),flip(a)]. 4639 K(T(x,y) \ y,x) = K(x \ y,x). [hyper(220,a,4108,a,b,4637,a(flip)),flip(a)]. 4640 L(x,T(y,x),x) = L(x,y,x). [hyper(21,a,4609,a,b,4626,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [para(4629(a,1),4602(a,1,2))]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1141(a,1,1))]. 4643 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4638(a,1),17(a,1,2))]. 4645 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(220,a,4236,a,b,4578,a(flip)),flip(a)]. 4646 T(x * y,x) * T(x,y) != z * u | z \ ((x * y) * R(x,y,x)) = u. [para(4578(a,2),485(a,1))]. 4647 T(x / (x / y),x) = L(y,x / y,y). [hyper(21,a,348,a,b,4597,a),flip(a)]. 4648 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(220,a,936,a(flip),b,4540,a)]. 4649 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(220,a,4537,a,b,4552,a)]. 4650 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(72,a,4553,a(flip),b,1212,a),flip(a)]. 4651 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1244(a,1),4554(a,2,1,1))]. 4654 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(2666(a,1),4560(a,1,2,1)),flip(a)]. 4657 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(21,a,4562,a(flip),b,4603,a)]. 4658 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1422(a,1),4606(a,1,2))]. 4659 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4082(a,1),4658(a,1,2))]. 4660 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4659(a,1),22(a,1)),flip(a)]. 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3909,a,4628,a),flip(a)]. 4662 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(150(a,2),4628(a,2,2,2,1))]. 4663 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(220,a,3686,a,b,4631,a(flip)),flip(a)]. 4664 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(151(a,2),4631(a,1,1,1,2))]. 4665 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4633(a,1),214(a,1,1)),flip(b)]. 4666 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4645(a,1),4577(a,1,2))]. 4667 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(220,a,4216,a,b,4649,a(flip)),flip(a)]. 4668 T(K(x \ 1,x) * y,z) = T(y,z) * K(x \ 1,x). [hyper(220,a,2513,a(flip),b,4654,a)]. 4671 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [para(2513(a,1),4668(a,1,1))]. 4673 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(4671(a,2),4422(a,1,2))]. 4674 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1767(a,1),4460(a,1,1)),flip(a)]. 4676 a(x,K(y \ 1,y),z) = 1. [hyper(220,a,3566,a(flip),b,4472,a(flip)),flip(a)]. 4678 L(x,K(y \ 1,y),z) = x. [hyper(36,a,4676,a)]. 4679 (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [para(4678(a,1),389(a,1,2,2,1))]. 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4476(a,1),17(a,1,2))]. 4683 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(220,a,1092,a,b,4559,a(flip)),flip(a)]. 4684 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2645,a,4682,a)]. 4685 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(160,a,1300,a,b,4684,a)]. 4687 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4445(a,1),23(a,1))]. 4688 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4446(a,1),23(a,1))]. 4691 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3685(a,2),4447(a,1,2))]. 4692 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2683,a,4465,a(flip))]. 4693 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) != w | L(u,K(x \ 1,x) * z,y) = w. [para(4501(a,1),3561(a,1))]. 4694 K(x,x \ 1) * ((y * (z * u)) \ ((y * (z * K(x \ 1,x))) * u)) = a(y,z * K(x \ 1,x),u). [hyper(3612,a,4520,a),flip(a)]. 4695 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(597,a,4532,a),flip(a)]. 4696 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4665,a,4683,a)]. 4697 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3590(a,1),4691(a,1,2,1))]. 4698 K(x \ 1,x) * (y / ((x \ 1) * z)) = y / ((1 / x) * z). [para(2988(a,1),4692(a,1,2,2))]. 4701 ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [para(19(a,1),4571(a,1,1,2,1))]. 4702 x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). [para(3939(a,1),4701(a,1,1)),flip(a)]. 4703 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [hyper(220,a,4210,a(flip),b,4702,a(flip))]. 4704 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(63(a,1),4703(a,1,2)),flip(a)]. 4705 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(119(a,2),4704(a,1,2,2,1))]. 4706 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4500(a,1,2))]. 4707 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = K(u \ 1,u) * L(z,y,x). [para(4420(a,1),4706(a,1,2,2))]. 4708 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(396,a,4707,a)]. 4709 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(220,a,2513,a(flip),b,4708,a)]. 4711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2648(a,1),4708(a,1,1)),flip(a)]. 4714 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2677,a,4711,a),flip(a)]. 4715 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4711,a),flip(a)]. 4716 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(220,a,3257,a(flip),b,4711,a(flip)),flip(a)]. 4720 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(18(a,1),4716(a,1,1,2,1,2))]. 4721 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4716(a,1),62(a,1,2,1)),flip(a)]. 4722 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(62(a,1),4716(a,1,1,2,1)),flip(a)]. 4723 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1746(a,1),4721(a,2,2,1))]. 4724 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(4722(a,1),43(a,2,1))]. 4725 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(217(a,1),4722(a,2,1,2))]. 4726 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(400(a,1),4722(a,2,1,2))]. 4727 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4722(a,1),212(a,1,2))]. 4728 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(220,a,4568,a,b,4723,a),flip(a)]. 4729 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2492(a,1),4714(a,1,1)),flip(a)]. 4730 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4714(a,2),4498(a,1,2))]. 4731 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(220,a,2041,a(flip),b,4729,a(flip)),flip(a)]. 4732 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(119(a,1),4731(a,2,1))]. 4733 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [hyper(2565,a,4732,a)]. 4734 x \ L((x \ 1) \ 1,y,z) != u | L(x,y,z) * (1 / x) = u. [para(4732(a,1),209(a,1,2)),flip(b)]. 4735 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(1758(a,2),4733(a,1,2))]. 4736 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(4735(a,1),4485(a,2,2))]. 4738 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1770(a,1),4715(a,1,1)),flip(a)]. 4739 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4738(a,1),3633(a,1,1)),flip(a)]. 4740 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4738(a,1),3642(a,1,1))]. 4741 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(220,a,1313,a(flip),b,4739,a(flip)),flip(a)]. 4742 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4725(a,1),103(a,1,2))]. 4743 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(4734,a,1478,a(flip)),flip(a)]. 4744 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2084,a,4743,a)]. 4745 L(x,y,z) / x = x \ L(x,y,z). [hyper(87,a,4744,a)]. 4746 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(220,a,1920,a,b,4745,a(flip)),flip(a)]. 4747 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y). [hyper(71,a,4726,a(flip),b,180,a),flip(a)]. 4749 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(4728(a,2),458(a,1))]. 4750 x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. [hyper(4727,a,2320,a)]. 4751 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(54(a,1),4747(a,2,2,1,2))]. 4752 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(220,a,4696,a(flip),b,4751,a(flip)),flip(a)]. 4753 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4752(a,1),214(a,1,1)),flip(b)]. 4754 (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). [para(2876(a,1),4750(a,1,2)),flip(a)]. 4755 x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. [para(16(a,1),4754(a,1,1,2,1)),flip(a)]. 4756 (x * K(y,z)) * z = x * (z * K(y,z)). [para(16(a,1),4755(a,1,2,2,1)),flip(a)]. 4757 R(x,K(y,z),z) = x. [hyper(2879,a,4756,a)]. 4758 T(x,K(x,y) * K(z,x)) = x. [hyper(160,a,4186,a(flip),b,4756,a)]. 4759 (x * (y * K(z,y))) / y = x * K(z,y). [hyper(87,a,4756,a)]. 4760 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(78,a,4756,a)]. 4763 (x * y) \ ((y * x) * x) = K(y,x) * x. [para(4757(a,1),452(a,1,1))]. 4764 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(4759(a,1),214(a,1,1)),flip(b)]. 4766 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(654,a,4760,a)]. 4767 L(x,K(y,x),z) = x. [para(2857(a,1),4766(a,1,1))]. 4768 L(T(x,y),K(z,x),u) = T(x,y). [para(4767(a,1),43(a,2,1))]. 4769 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(4767(a,1),392(a,1,2,1))]. 4770 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(4767(a,1),393(a,1,2,1))]. 4771 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(4767(a,1),394(a,1,2,1))]. 4775 (x / K(y,z)) * (T(z,u) * K(y,z)) = x * T(z,u). [para(4768(a,1),2889(a,1,2)),flip(a)]. 4776 (x * y) / x = K(x,y) * y. [hyper(4245,a,4763,a)]. 4777 K(x,y) = x \ T(x,y). [hyper(3710,a,4776,a),flip(a)]. 4778 (x * y) / x = y * K(x,y). [hyper(220,a,2858,a(flip),b,4776,a)]. 4782 T(K(x,y) * y,x) = y. [para(4776(a,1),154(a,1,1))]. 4784 (x * y) / x != z | y * K(x,y) = z. [para(4776(a,2),2862(a,1))]. 4785 K(x,y) = T(y,x) \ y. [hyper(220,a,4060,a,b,4777,a)]. 4786 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(220,a,3985,a,b,4777,a),flip(a)]. 4787 (T(x,y) * z) / (x * z) = K(x,y). [hyper(220,a,3980,a,b,4777,a),flip(a)]. 4789 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(220,a,3700,a,b,4777,a)]. 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(220,a,3696,a,b,4777,a),flip(a)]. 4791 K(x,y) = T(x,y) / x. [hyper(220,a,2939,a,b,4777,a)]. 4792 K(x,y) = T(x,y) * (x \ 1). [hyper(220,a,812,a,b,4777,a)]. 4793 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(220,a,3770,a(flip),b,4777,a),flip(a)]. 4794 x * T(x \ 1,y) = K(x \ 1,y). [hyper(220,a,2942,a(flip),b,4777,a),flip(a)]. 4795 x * T(x \ 1,y) = K(1 / x,y). [hyper(220,a,815,a(flip),b,4777,a),flip(a)]. 4796 K(x,y) / T(x,y) = 1 / x. [hyper(72,a,4777,a,b,2944,a)]. 4797 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(71,a,4777,a,b,3704,a)]. 4798 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(71,a,4777,a,b,3700,a)]. 4800 x \ T(x,y) = T(K(x,y),x). [hyper(220,a,3043,a,b,4777,a(flip))]. 4801 T(x,y) = x * K(x,y). [para(4777(a,2),17(a,1,2)),flip(a)]. 4802 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4777(a,2,2)),flip(a)]. 4803 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4777(a,2,2)),flip(a)]. 4804 x * K(x,y) != z | T(x,y) = z. [para(4777(a,2),208(a,1,2)),flip(b)]. 4805 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(4777(a,2),105(a,1,1)),flip(a)]. 4806 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4777(a,2),318(a,1,2))]. 4809 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4777(a,2),1049(a,1,1))]. 4810 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1385(a,1),4777(a,2,2))]. 4811 (T(x,y) \ 1) * K(x,y) = x \ 1. [para(4777(a,2),2178(a,1,2))]. 4812 T(x,y) = K(x,y) * x. [para(4777(a,2),2940(a,1,1)),flip(a)]. 4813 K(x,y) * x != z | T(x,y) = z. [para(4777(a,2),2946(a,1,1))]. 4814 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4777(a,2),2873(a,1,2))]. 4815 (x * K(y,x)) * y = y * x. [para(4777(a,2),3690(a,1,1,2))]. 4816 (x \ y) * K(x,x \ y) = y / x. [para(4777(a,2),3692(a,1,2))]. 4817 x * K(y,x) != z | (y * x) / y = z. [para(4777(a,2),3705(a,1,2))]. 4818 x * (K(x,y) * z) = T(x,y) * z. [para(4777(a,2),3915(a,1,2,1))]. 4819 x \ T(x,y \ x) = K(x,x / y). [para(3940(a,1),4777(a,2,2)),flip(a)]. 4821 T(x,y) * (x \ z) = K(x,y) * z. [para(4777(a,2),3920(a,1,1)),flip(a)]. 4822 K(x,x \ y) * y = x * (y / x). [para(4777(a,2),3975(a,1,1))]. 4823 K(x,K(y,1 / y) * z) = x \ T(x,z). [para(4448(a,1),4777(a,2,2))]. 4824 T(x * K(y,x),y) = x. [para(2858(a,1),4782(a,1,1))]. 4825 K(x,y) = ((y * x) / y) \ x. [hyper(220,a,3702,a,b,4785,a)]. 4826 K(x,y) = y / T(y,x). [hyper(220,a,2840,a,b,4785,a)]. 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(220,a,2837,a,b,4785,a)]. 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(220,a,905,a,b,4785,a)]. 4829 x \ (y / (y / x)) = K(x \ y,x). [hyper(220,a,3726,a(flip),b,4785,a),flip(a)]. 4830 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(220,a,3478,a(flip),b,4785,a),flip(a)]. 4832 K(x,y) / y = 1 / T(y,x). [hyper(72,a,4785,a,b,2837,a)]. 4833 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(71,a,4785,a,b,2308,a)]. 4834 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4785,a,b,905,a),flip(a)]. 4835 T(x,y) * K(y,x) = x. [para(4785(a,2),17(a,1,2))]. 4836 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(43(a,2),4785(a,2,1)),flip(a)]. 4837 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4785(a,2,1)),flip(a)]. 4838 T(x,y) = x / K(y,x). [para(4785(a,2),63(a,1,2)),flip(a)]. 4840 x / K(y,x) != z | T(x,y) = z. [para(4785(a,2),274(a,1,2)),flip(b)]. 4842 ((x \ y) \ y) * K(x \ y,x) = x. [para(4785(a,2),276(a,1,2))]. 4843 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1386(a,1),4785(a,2,1))]. 4844 K(x,y) * T(y,x) = y. [para(4785(a,2),2844(a,1,1))]. 4845 T(x,y) = K(y,x) \ x. [para(4785(a,2),2845(a,1,1)),flip(a)]. 4846 T(x,y) = (K(y,x) / x) \ 1. [para(4785(a,2),2838(a,1,1,1)),flip(a)]. 4847 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4785(a,2),3151(a,1,2))]. 4848 K(x \ K(x,y),x) = K(x \ 1,x). [para(4785(a,2),3214(a,1,1,2))]. 4849 K(x,y) * ((y * x) / y) = x. [para(4785(a,2),3703(a,1,1))]. 4850 x / (x / y) = y * K(y \ x,y). [para(4785(a,2),3727(a,2,2))]. 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4785(a,2),3994(a,2,1))]. 4853 K(x,y) * (y * x) = x * y. [para(4785(a,2),3999(a,1,1))]. 4856 x * (T(x,y) \ z) = K(y,x) * z. [para(4785(a,2),4262(a,1,1)),flip(a)]. 4857 K(x,y) * (T(y,x) * z) = y * z. [para(4785(a,2),4263(a,1,1))]. 4858 K(x \ 1,y) / x = T(1 / x,y). [hyper(72,a,4791,a,b,843,a(flip))]. 4861 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4791(a,2),841(a,1))]. 4862 K(x \ 1,x) * (K(x,y) * z) = ((x \ 1) * T(x,y)) * z. [para(4791(a,2),3369(a,1,2,1))]. 4863 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(72,a,4801,a,b,94,a)]. 4864 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(220,a,4437,a,b,4801,a(flip))]. 4866 T(x,y) != x * z | K(x,y) = z. [para(4801(a,2),22(a,1))]. 4868 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4801(a,2),33(a,2,2)),flip(a)]. 4869 x \ T(x,y) != z | K(x,y) = z. [para(4801(a,2),209(a,1,2)),flip(b)]. 4870 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4801(a,2),115(a,2,1))]. 4871 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4801(a,2),418(a,2,2))]. 4872 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4801(a,2),1310(a,1,2)),flip(a)]. 4873 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3038(a,1),4801(a,2,2)),flip(a)]. 4875 K(x,y) * (x * z) = T(x,y) * z. [para(4801(a,2),4020(a,1,1)),flip(a)]. 4876 x * (y * K(x,y)) = T(x,y) * y. [para(4801(a,2),4756(a,1,1)),flip(a)]. 4878 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(220,a,41,a,b,4812,a(flip))]. 4883 x * (K(y,x) * y) = y * x. [para(4812(a,1),118(a,1,2))]. 4887 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(4812(a,2),105(a,2,2))]. 4890 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4812(a,2),396(a,1,2,2))]. 4891 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(4812(a,2),596(a,1,1))]. 4892 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(4812(a,2),785(a,1,2,1))]. 4893 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4812(a,2),1659(a,1,1))]. 4894 T(T(x * K(y,x),z),y) = T(x,z). [para(4824(a,1),41(a,1,1)),flip(a)]. 4895 (x * K(y,x)) \ (y * x) = y. [para(4824(a,1),156(a,1,2,2))]. 4897 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4824(a,1),173(a,1,2,1)),flip(a)]. 4898 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4824(a,1),354(a,1,1,2)),flip(a)]. 4899 (x * (y * K(z,y))) * T(y * K(z,y),z) = (x * y) * (y * K(z,y)). [para(4824(a,1),1103(a,1,1,2)),flip(a)]. 4900 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4824(a,1),1600(a,1,2,1)),flip(a)]. 4901 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4824(a,1),2290(a,1,2,2)),flip(a)]. 4902 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4824(a,1),3087(a,1,2)),flip(a)]. 4903 ((x * K(y,x)) \ 1) * (z * T(((x * K(y,x)) \ 1) \ 1,y)) = (1 / (x * K(y,x))) * (z * x). [para(4824(a,1),3262(a,2,2,2))]. 4904 T(K(x,y \ 1) / y,x) = 1 / y. [para(3823(a,1),4824(a,1,1))]. 4905 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4824(a,1),4087(a,1,2,1)),flip(a)]. 4906 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(4824(a,1),4615(a,1,2,1,2)),flip(a)]. 4909 T(x,y) \ x != z | K(y,x) = z. [para(4835(a,1),209(a,1,2)),flip(b)]. 4913 K(x,y / x) * (x \ y) = y / x. [para(120(a,1),4844(a,1,2))]. 4914 x / T(x,y) != z | K(y,x) = z. [para(4844(a,1),272(a,1,1)),flip(b)]. 4915 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4845(a,2),2232(a,1,2,1))]. 4916 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3784,a,4778,a)]. 4917 x \ (T(x * y,x) / y) = K(x * y,x). [hyper(958,a,4778,a)]. 4919 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(220,a,3819,a(flip),b,4778,a),flip(a)]. 4920 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(220,a,2095,a(flip),b,4778,a),flip(a)]. 4921 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4778,a,b,1181,a)]. 4922 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(25,a,4778,a)]. 4923 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4778,a)]. 4925 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(220,a,4256,a(flip),b,4778,a(flip))]. 4926 x \ T(x * y,y) = y * K(x * y,y). [hyper(220,a,3957,a(flip),b,4778,a(flip)),flip(a)]. 4927 x / (x / y) = y * K(x / y,y). [hyper(220,a,218,a(flip),b,4778,a(flip)),flip(a)]. 4928 T(x,y) * K(y,T(x,y)) = x. [hyper(220,a,155,a(flip),b,4778,a(flip))]. 4929 ((x * y) * K(y \ 1,x * y)) / y = (y \ 1) * (x / (y \ 1)). [hyper(72,a,4778,a(flip),b,3281,a(flip))]. 4930 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(114(a,1),4778(a,1,1))]. 4931 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4778(a,1),115(a,1,1))]. 4932 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4778(a,2),415(a,1,2))]. 4933 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4778(a,1),354(a,2,1)),flip(a)]. 4934 T(x * K(y * x,x),y) = R(x,y,x). [para(4778(a,1),656(a,2,1)),flip(a)]. 4935 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4778(a,1),697(a,1,1))]. 4936 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4778(a,1),705(a,1,1))]. 4937 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(4778(a,2),97(a,1,2))]. 4938 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4778(a,1),621(a,1,1))]. 4939 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4778(a,1),790(a,1,1,1))]. 4940 (x * ((y * z) / y)) / x = (y * (z * K(x,z))) / y. [para(4778(a,1),803(a,1,1,2)),flip(a)]. 4941 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(4778(a,1),937(a,1,1))]. 4942 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4778(a,1),698(a,1,1))]. 4943 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4778(a,1),1200(a,2,1,2))]. 4944 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1651(a,1),4778(a,1,1))]. 4945 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1921(a,1),4778(a,1,1))]. 4946 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4778(a,1),1937(a,2,1)),flip(a)]. 4947 K(x,y) = (1 / y) * ((x * y) / x). [para(4778(a,2),2885(a,1,2)),flip(a)]. 4948 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x * K(z,y),y). [para(4756(a,1),4778(a,1,1))]. 4949 K(x,y) = x * (((y * x) / y) \ 1). [hyper(220,a,4142,a,b,4792,a)]. 4950 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(71,a,4792,a,b,4142,a),flip(a)]. 4951 K(1 / x,y) / x = T(1 / x,y). [hyper(277,a,4792,a(flip))]. 4952 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4792(a,2),396(a,1,2,2))]. 4953 T(x,L(x,y,z) * u) * K(u,T(x,L(x,y,z) * u)) = L(x,u,L(x,y,z)). [hyper(21,a,1349,a(flip),b,4815,a)]. 4955 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4815(a,1),429(a,1,1,1))]. 4956 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4815(a,1),4100(a,1,1,2))]. 4957 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4815(a,1),4674(a,1,2)),flip(a)]. 4958 K(x,y) = x / ((y * x) / y). [hyper(220,a,2976,a,b,4825,a)]. 4960 K(x,y) / x = 1 / ((y * x) / y). [para(4825(a,2),2979(a,1,1))]. 4961 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(72,a,2474,a(flip),b,4827,a(flip))]. 4962 K(x,y) \ (y * ((T(y,x) \ 1) * z)) = L(z,T(1 / T(y,x),y),y). [para(4827(a,2),2853(a,1,1))]. 4963 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3520(a,1),4827(a,2,1,2))]. 4964 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4828(a,2),31(a,2,2,2)),flip(a)]. 4965 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. 4966 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(24,a,4832,a)]. 4968 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(220,a,559,a(flip),b,4834,a(flip)),flip(a)]. 4969 T(x,y) = 1 / (x \ K(y,x)). [para(4834(a,1),63(a,1,2)),flip(a)]. 4970 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4834(a,1),274(a,1,2)),flip(b)]. 4971 (T(x,y) \ 1) * ((z * ((x \ K(y,x)) \ K(y,x))) / z) = ((z * x) / z) * (x \ K(y,x)). [para(4834(a,2),801(a,1,1))]. 4972 K(x \ y,x) * (y / x) = x \ y. [para(17(a,1),4849(a,1,2,1))]. 4974 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(94(a,1),4849(a,1,2,1))]. 4976 K(x \ y,x) * y = (x \ y) * x. [hyper(555,a,4853,a)]. 4977 T(x * y,K(y,x)) = x * y. [hyper(311,a,4853,a)]. 4978 K(x,x \ y) * ((x \ y) * x) = y. [hyper(220,a,17,a(flip),b,4853,a)]. 4979 x / ((y \ x) * y) = K(y,y \ x). [hyper(72,a,17,a(flip),b,4853,a)]. 4980 ((x * K(y,z)) * (z * y)) / (y * z) = R(x,K(y,z),z * y). [para(4853(a,1),33(a,2,2)),flip(a)]. 4981 (x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z). [para(4853(a,1),103(a,1,1))]. 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4853(a,1,2))]. 4983 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4853(a,1),390(a,1,1))]. 4984 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4853(a,1),4558(a,1,1,1))]. 4986 K(x,T(y,x)) = K(x,y). [hyper(20,a,4835,a,b,4928,a)]. 4987 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),4986(a,1,2))]. 4988 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(43(a,2),4986(a,1,2))]. 4989 K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)). [para(45(a,2),4986(a,1,2))]. 4990 K(x,y / x) = K(x,x \ y). [para(120(a,1),4986(a,1,2)),flip(a)]. 4991 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(119(a,1),4986(a,1,2))]. 4992 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(177(a,1),4986(a,1,2)),flip(a)]. 4993 K(x,y * K(x,y)) = K(x,y). [para(4824(a,1),4986(a,1,2)),flip(a)]. 4996 x / (y / (y / x)) = K(x,x \ y). [para(4066(a,1),4958(a,2,2)),flip(a)]. 4997 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(220,a,338,a(flip),b,4977,a(flip)),flip(a)]. 5000 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(220,a,4222,a(flip),b,4990,a(flip))]. 5001 x * K(y,y \ x) = y * (x / y). [para(4990(a,1),235(a,1,2))]. 5002 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3038(a,1),4804(a,1,2))]. 5003 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3812(a,1),4840(a,1,2))]. 5004 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4869(a,1,2))]. 5005 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(610(a,2),4869(a,1,2))]. 5006 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2942(a,1),4869(a,1))]. 5007 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(3704(a,2),4869(a,1))]. 5008 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3985(a,2),4869(a,1))]. 5009 T(K(x,y),x) != z | K(x,y) = z. [para(4800(a,1),4869(a,1))]. 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(43(a,2),4909(a,1,1))]. 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(45(a,2),4909(a,1,1))]. 5016 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4054(a,2),4909(a,1))]. 5018 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(2738(a,2),5009(a,1))]. 5019 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2739(a,1),5009(a,1))]. 5022 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4787(a,1),214(a,1,1)),flip(b)]. 5026 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1133(a,1),4789(a,2,1)),flip(a)]. 5027 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2198,a,4794,a)]. 5028 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(757,a,4794,a)]. 5029 K((x * y) \ x,x * y) = K(y \ 1,x * y). [hyper(220,a,975,a,b,4794,a(flip)),flip(a)]. 5030 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(220,a,2205,a(flip),b,4794,a(flip)),flip(a)]. 5031 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(220,a,1222,a(flip),b,4794,a(flip)),flip(a)]. 5032 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(220,a,1169,a(flip),b,4794,a(flip)),flip(a)]. 5033 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(71,a,4794,a(flip),b,742,a(flip))]. 5035 L(x \ 1,x,y) * (y * x) = y * K(x \ 1,y * x). [para(4794(a,1),526(a,1,2)),flip(a)]. 5036 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4794(a,1),628(a,2,2))]. 5037 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4794(a,1),758(a,1,2))]. 5038 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4794(a,1),770(a,2,2))]. 5039 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4794(a,1),1032(a,1,1))]. 5040 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4794(a,1),1168(a,1,2)),flip(a)]. 5041 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4794(a,1),1220(a,1,1))]. 5043 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4794(a,1),1435(a,2,1))]. 5044 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4794(a,1),1613(a,1,1)),flip(a)]. 5045 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4794(a,1),2059(a,2,1,2))]. 5046 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4794(a,1),2203(a,1,1)),flip(a)]. 5048 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4794(a,1),2932(a,2,2))]. 5049 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(220,a,1222,a(flip),b,4795,a(flip)),flip(a)]. 5052 (x * y) * T((x * y) \ y,z) = K(1 / x,z) * y. [para(4795(a,1),1414(a,2,1))]. 5053 (x * y) * K(1 / L(z,y,x),u) = x * (y * (z * T(z \ 1,u))). [para(4795(a,1),2204(a,1,2))]. 5054 (1 / (1 / ((x * y) / x))) \ K(x,y) = (y \ 1) * K(y,1 / y). [para(4798(a,1),3550(a,1,1)),flip(a)]. 5057 (x \ y) \ (y / x) = K(x,x \ y). [hyper(78,a,4816,a)]. 5058 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [para(3041(a,2),4816(a,1,2))]. 5059 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [para(4816(a,1),4759(a,1,1,2))]. 5061 x \ (T(x,y) * z) = K(x,y) * z. [hyper(78,a,4818,a)]. 5062 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,17,a(flip),b,4818,a),flip(a)]. 5063 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(20,a,4142,a,b,4818,a),flip(a)]. 5064 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,907,a,b,4818,a)]. 5065 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(20,a,4625,a(flip),b,4818,a)]. 5066 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,4622,a(flip),b,4818,a)]. 5069 T(x,y) * z != x * (K(x,y) * u) | z = u. [para(4818(a,2),22(a,2))]. 5070 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4818(a,1),27(a,2,2,1)),flip(a)]. 5071 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(118(a,1),4818(a,1,2)),flip(a)]. 5072 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4818(a,1),209(a,1,2)),flip(b)]. 5074 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,K(x,y) * z,x). [para(4818(a,1),4573(a,1,2,1))]. 5075 K(x,x / y) = K(x,y \ x). [hyper(4869,a,4819,a),flip(a)]. 5076 K(x,(y \ x) \ x) = K(x,y). [para(63(a,1),5075(a,1,2)),flip(a)]. 5077 K(x,T(y,y \ x)) = K(x,y). [para(119(a,2),5076(a,1,2))]. 5078 K(x * y,T(x,y)) = K(x * y,x). [para(16(a,1),5077(a,1,2,2))]. 5079 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4276,a,4821,a)]. 5080 (x * (y / x)) / y = K(x,x \ y). [hyper(3979,a,4821,a)]. 5081 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(928,a,4821,a)]. 5082 (x \ y) * T(T(x,x \ y),z) = K(x,z) * y. [hyper(783,a,4821,a)]. 5083 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(782,a,4821,a)]. 5085 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(220,a,3052,a,b,4821,a)]. 5086 T(x,y) \ (z * K(x,y)) = x \ T(z,K(x,y)). [hyper(71,a,118,a(flip),b,4821,a)]. 5087 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(220,a,4202,a,b,4821,a(flip)),flip(a)]. 5088 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4270,a(flip),b,4821,a(flip))]. 5089 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(31(a,2),4821(a,1,2)),flip(a)]. 5090 K(x,y) * ((z \ x) * z) = T(x,y) * K(z \ x,z). [para(99(a,1),4821(a,1,2)),flip(a)]. 5092 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4777(a,2),4821(a,1,2)),flip(a)]. 5093 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(72,a,4537,a,b,4822,a)]. 5095 R(x,K(y,y \ z),z) * (y * (z / y)) = (x * K(y,y \ z)) * z. [para(4822(a,1),114(a,1,2))]. 5096 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4822(a,1),396(a,1,1))]. 5100 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(4847(a,1),4756(a,1,1)),flip(a)]. 5101 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(4848(a,1),234(a,1,2))]. 5102 K(x,y) * K(x \ 1,x) != z | (x \ K(x,y)) * x = z. [para(4848(a,1),337(a,1,2))]. 5103 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(220,a,2887,a(flip),b,4850,a),flip(a)]. 5104 x \ (y / (y / z)) = x \ (z * K(z \ y,z)). [hyper(71,a,4850,a,b,17,a)]. 5105 (x * K(x \ y,x)) * (y / x) = y. [para(4850(a,1),19(a,1,1))]. 5107 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4082(a,2),4850(a,1,2)),flip(a)]. 5108 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4637(a,1),4850(a,2,2))]. 5111 K(x,y) * (1 / y) = 1 / T(y,x). [hyper(3028,a,4856,a),flip(a)]. 5112 T(x,y) \ (x * z) = K(y,x) * z. [hyper(966,a,4856,a)]. 5113 (T(x,y) \ z) / (x \ z) = K(y,x). [hyper(929,a,4856,a)]. 5114 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(927,a,4856,a),flip(a)]. 5115 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(78,a,4856,a)]. 5116 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(72,a,4452,a(flip),b,4856,a(flip)),flip(a)]. 5117 K(x,y) \ (1 / T(y,x)) = 1 / y. [hyper(71,a,2836,a(flip),b,4856,a(flip))]. 5120 T(x,y) * (K(y,x) * z) = x * z. [para(4856(a,1),899(a,1,2))]. 5121 (x * y) / (K(z,x) * y) = T(x,z). [para(4856(a,1),902(a,1,2))]. 5122 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4856(a,1),927(a,1))]. 5123 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4777(a,2),4856(a,1,2)),flip(a)]. 5124 T(K(x,y),T(y,x) * z) = (T(y,x) * z) \ (y * z). [hyper(160,a,4857,a,b,17,a)]. 5126 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4857(a,1),209(a,1,2)),flip(b)]. 5127 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4857(a,1),555(a,1))]. 5128 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4857(a,1),390(a,1,1)),flip(a)]. 5129 K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). [para(4856(a,1),4857(a,1,2))]. 5130 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [para(591(a,1),4858(a,1,1)),flip(a)]. 5132 K(x,y) \ x = x * K(y,x). [hyper(71,a,4835,a(flip),b,4875,a)]. 5133 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(45(a,2),4875(a,2,1))]. 5135 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(172(a,1),4875(a,1,2))]. 5136 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(173(a,1),4875(a,1,2))]. 5137 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4875(a,1),555(a,1))]. 5139 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4875(a,1),406(a,1,2))]. 5141 K(T(x,y),y) = K(x,y). [hyper(4179,a,5132,a)]. 5142 K(x,y) \ 1 = K(y,x). [hyper(3317,a,5132,a)]. 5146 K(x \ (y * x),x) = K(y,x). [para(35(a,1),5141(a,1,1))]. 5147 K(x / y,y) = K(y \ x,y). [para(120(a,1),5141(a,1,1)),flip(a)]. 5148 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(119(a,1),5141(a,1,1))]. 5149 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(550(a,1),5141(a,1,1))]. 5150 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(664(a,1),5141(a,1,1)),flip(a)]. 5151 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(659(a,1),5141(a,1,1)),flip(a)]. 5152 K(x / (x / y),y \ x) = K(y,y \ x). [para(4144(a,1),5141(a,1,1)),flip(a)]. 5153 K(x,y) * K(y,x) = 1. [para(5141(a,1),4167(a,1,1))]. 5154 K(x,y) * z != 1 | K(y,x) = z. [para(5141(a,1),4176(a,1,1))]. 5155 K(x,y) \ 1 != z | K(y,x) = z. [para(5141(a,1),4177(a,1,1))]. 5156 K(x,T(y,x)) != z | K(x,y) = z. [para(5141(a,1),4181(a,1))]. 5157 K(x * K(y,x),y) = K(x,y). [para(4824(a,1),5141(a,1,1)),flip(a)]. 5158 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5141(a,1),4778(a,2,2))]. 5161 1 / K(x,y) = K(y,x). [hyper(220,a,2432,a,b,5142,a(flip)),flip(a)]. 5163 1 / K(x,y) != z | K(y,x) = z. [para(5142(a,1),274(a,1,2)),flip(b)]. 5165 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5142(a,1),1547(a,2,2,1))]. 5166 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5142(a,1),2173(a,2,1,2,1))]. 5167 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5142(a,1),4792(a,2,2)),flip(a)]. 5168 K(x,x \ y) \ 1 = K(y / x,x). [para(4990(a,1),5142(a,1,1))]. 5170 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5161(a,1),3450(a,1,2,2))]. 5172 (x * (y / x)) \ y = K(x \ y,x). [hyper(220,a,102,a,b,5147,a(flip)),flip(a)]. 5183 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(886(a,1),5156(a,1,2))]. 5187 T((x \ 1) \ K(y,x),y) = T(x,x \ 1). [para(2096(a,1),4894(a,1,1))]. 5189 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4949(a,2),1324(a,2,2))]. 5190 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4950(a,1),4216(a,1,2))]. 5191 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4586(a,1),4950(a,1,1)),flip(a)]. 5192 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4778(a,1),4950(a,1,1))]. 5193 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(671(a,1),4960(a,2,2))]. 5194 1 / (x * K(y,x)) = K(x,y) / x. [para(4778(a,1),4960(a,2,2)),flip(a)]. 5199 (x * K(y \ z,y)) * z != u * ((y \ z) * y) | R(x,K(y \ z,y),z) = u. [para(4976(a,1),418(a,2,2))]. 5200 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4976(a,1),1562(a,2,2))]. 5201 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(4976(a,1),2527(a,1,2)),flip(a)]. 5202 K(x,(x / y) \ 1) = K(x,x \ y). [para(66(a,1),5000(a,1,2,2)),flip(a)]. 5203 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5000(a,1),4822(a,1,1))]. 5204 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(220,a,3018,a,b,5001,a(flip)),flip(a)]. 5205 x * (y / x) != y * z | K(x,x \ y) = z. [para(5001(a,1),22(a,1))]. 5206 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5001(a,1),31(a,2,1)),flip(a)]. 5207 L(L(K(x,x \ y),y,z),z * y,u) = (u * (z * y)) \ (u * (z * (x * (y / x)))). [para(5001(a,1),390(a,1,2,2,2)),flip(a)]. 5208 (x * (y * z)) \ ((x * y) * (u * (L(z,y,x) / u))) = L(K(u,u \ L(z,y,x)),L(z,y,x),x * y). [para(5001(a,1),389(a,1,2,2))]. 5209 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5057(a,1),208(a,1,2)),flip(b)]. 5210 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5061(a,1),208(a,1,2)),flip(b)]. 5212 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5062(a,1),22(a,1))]. 5213 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(119(a,1),5062(a,1,2,1))]. 5215 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(220,a,4979,a,b,5080,a)]. 5216 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),5081(a,1,2,1))]. 5217 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),5088(a,1,2,1))]. 5219 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(4126,a,5112,a)]. 5220 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(43(a,2),5112(a,1,1))]. 5221 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5112(a,1),208(a,1,2)),flip(b)]. 5222 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5112(a,1),274(a,1,2)),flip(b)]. 5227 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4801(a,2),5112(a,1,2))]. 5228 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4835(a,1),5112(a,1,2)),flip(a)]. 5229 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5112(a,1),4856(a,1,2)),flip(a)]. 5235 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(4824(a,1),5117(a,1,2,2))]. 5236 K(x,y) * (x / y) = x / T(y,x). [hyper(4660,a,5120,a),flip(a)]. 5237 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(971,a,5120,a)]. 5238 K(x,y) * (K(y,x) * z) = z. [hyper(20,a,4818,a(flip),b,5120,a)]. 5239 (x * y) / T(T(x,z),K(z,x) * y) = K(z,x) * y. [hyper(72,a,5120,a(flip),b,118,a)]. 5242 K(x,y) \ z = K(y,x) * z. [hyper(555,a,5238,a),flip(a)]. 5243 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(161,a,5238,a),flip(a)]. 5244 x / (K(y,z) * x) = K(z,y). [hyper(87,a,5238,a)]. 5245 K(x \ y,x) * (x * (y / x)) = y. [hyper(20,a,4822,a,b,5238,a)]. 5246 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(20,a,3335,a,b,5238,a)]. 5247 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(20,a,2122,a,b,5238,a)]. 5248 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,2122,a(flip),b,5238,a)]. 5249 K(x,y) * z != u | K(y,x) * u = z. [para(5238(a,1),22(a,1)),flip(a)]. 5251 x * (K(y,z) * u) != u | K(z,y) = x. [para(5238(a,1),23(a,1)),flip(a)]. 5252 K(x,y) \ z != u | K(y,x) * z = u. [para(5238(a,1),209(a,1,2)),flip(b)]. 5253 x / (K(y,z) * x) != u | K(z,y) = u. [para(5238(a,1),272(a,1,1)),flip(b)]. 5254 K(x,y) * (K(y,x) * (z * u)) != u * w | T(z,u) = w. [para(5238(a,2),161(a,2)),flip(a)]. 5255 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5238(a,1),105(a,2,1))]. 5256 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5238(a,1),105(a,2,2))]. 5257 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5238(a,1),114(a,1,2))]. 5258 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5238(a,1),390(a,1,1)),flip(a)]. 5259 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(220,a,2867,a,b,5242,a)]. 5261 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(71,a,5242,a,b,118,a)]. 5262 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(220,a,3573,a(flip),b,5242,a(flip))]. 5263 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(220,a,608,a(flip),b,5242,a(flip))]. 5264 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(72,a,3336,a(flip),b,5242,a(flip))]. 5265 K(x,y) * (K(y,x) * z) != u | u = z. [para(5242(a,1),208(a,1,2))]. 5267 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5242(a,1),217(a,1,1))]. 5269 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5242(a,1),480(a,1,2))]. 5270 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5242(a,1),275(a,1,1,3))]. 5271 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5242(a,1),3519(a,1,1))]. 5273 K(x,y) != z | K(y,x) \ 1 = z. [para(5244(a,1),204(a,1)),flip(b)]. 5274 L(x,K(y,z) * u,u / (K(y,z) * u)) * u = K(z,y) * ((K(y,z) * u) * T(x,u)). [para(5244(a,1),643(a,1,1)),flip(a)]. 5275 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5244(a,1),3626(a,1,2)),flip(a)]. 5276 K(x / y,y) != z | K(y \ x,y) = z. [para(5168(a,1),5155(a,1))]. 5277 (x * (y / x)) * K(x \ y,x) = y. [para(5172(a,1),17(a,1,2))]. 5279 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4537(a,2),5172(a,1,1))]. 5280 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5192(a,1),3215(a,2,2,2))]. 5281 (K(x,y) / x) \ 1 = x * K(y,x). [para(5194(a,1),66(a,1,1))]. 5282 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3038(a,2),5194(a,2,1))]. 5283 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(3823(a,1),5194(a,1,2)),flip(a)]. 5284 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5236(a,1),103(a,1,1))]. 5285 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5236(a,1),139(a,1,2,1))]. 5286 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5245(a,1),4556(a,2,1))]. 5287 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5246(a,1),272(a,1,1)),flip(b)]. 5288 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5261(a,1),1681(a,1,2,2,1))]. 5289 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5261(a,1),1832(a,1,2,2,1))]. 5290 1 / (x * K(y,x)) != z | K(x,y) / x = z. [para(5281(a,1),274(a,1,2)),flip(b)]. 5292 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3823(a,1),4934(a,1,1))]. 5293 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1764(a,2),4963(a,2,1))]. 5294 K(T(x / y,x \ y),z) != u | K(x / y,z) = u. [para(2416(a,1),5018(a,1,1))]. 5295 K(x \ 1,y) != z | K(1 / x,y) = z. [para(524(a,1),5018(a,1,1))]. 5296 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2866,a,5066,a)]. 5297 K(x,y) * z != u | K(y,x) \ z = u. [para(17(a,1),5265(a,1,2)),flip(b)]. 5298 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2499(a,1),5265(a,1,2))]. 5304 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(71,a,5296,a(flip),b,4818,a),flip(a)]. 5305 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(755(a,1),4786(a,1,1))]. 5306 L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). [hyper(3351,a,4790,a)]. 5307 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1062,a,4790,a)]. 5309 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(220,a,2113,a(flip),b,4790,a(flip)),flip(a)]. 5310 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1390(a,2,2))]. 5312 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1540(a,1,2))]. 5313 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(4790(a,1),1603(a,1,1))]. 5314 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1977(a,2,1))]. 5315 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [para(4790(a,1),1980(a,2,1))]. 5316 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),1974(a,2,2))]. 5317 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2366(a,1,1))]. 5318 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(220,a,4777,a,b,4810,a)]. 5320 K(x,K(y,1 / y) * z) = K(x,z). [hyper(220,a,4777,a,b,4823,a)]. 5321 K(x,K(y \ 1,y) * z) = K(x,z). [para(63(a,1),5320(a,1,2,1,2))]. 5322 K(x,K(y,y \ 1) * z) = K(x,z). [para(1758(a,1),5320(a,1,2,1))]. 5323 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2913(a,1),5320(a,1,2))]. 5324 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3585(a,1),5320(a,1,2))]. 5325 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(398(a,1),5321(a,1,2))]. 5326 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(1799(a,1),5321(a,1,2))]. 5327 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2592(a,1),5321(a,1,2)),flip(a)]. 5328 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2644(a,1),5321(a,1,2)),flip(a)]. 5329 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2766(a,1),5321(a,1,2))]. 5330 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(2787(a,1),5321(a,1,2)),flip(a)]. 5331 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2921(a,1),5321(a,1,2))]. 5332 K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). [para(3562(a,1),5321(a,1,2))]. 5333 K(x,y \ (1 / (1 / z))) = K(x,y \ z). [para(3880(a,1),5321(a,1,2))]. 5334 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4499(a,2),5321(a,1,2))]. 5335 K(x,T(K(y,y \ 1) * z,u)) = K(x,T(z,u)). [para(4560(a,1),5321(a,1,2)),flip(a)]. 5336 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4511(a,1),5321(a,1,2))]. 5337 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(4698(a,1),5321(a,1,2))]. 5338 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2527(a,1),5322(a,1,2))]. 5339 K(x,(y / (z \ 1)) * (1 / z)) = K(x,y). [para(2699(a,2),5322(a,1,2))]. 5340 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3595(a,1),5322(a,1,2))]. 5343 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4521(a,1),5322(a,1,2))]. 5344 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4530(a,1),5322(a,1,2)),flip(a)]. 5345 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4830(a,1),17(a,1,2)),flip(a)]. 5346 T(x,y) \ ((z * (T(x,y) * K(y,x))) / z) = (T(x,y) \ 1) * ((z * T(x,x \ 1)) / z). [para(4833(a,1),1321(a,1,2,1,2)),flip(a)]. 5347 K((1 / x) \ y,y) = K(y * x,y). [hyper(220,a,4785,a,b,4843,a)]. 5348 K(x * (y \ 1),x) = K(y \ x,x). [para(63(a,1),5347(a,1,1,1)),flip(a)]. 5349 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4950(a,1),5348(a,1,1,2)),flip(a)]. 5350 K(x,y) * (((y * x) / y) * z) = x * z. [para(16(a,1),4852(a,1,2)),flip(a)]. 5351 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(17(a,1),4852(a,1,2,1,1))]. 5353 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(615(a,1),4852(a,1,2,1))]. 5355 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4778(a,1),4852(a,1,2,1))]. 5356 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4878(a,1),4813(a,1))]. 5357 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4621(a,2),5356(a,1))]. 5358 x \ (y * T(y \ x,x)) = K(x * (1 / y),x). [para(4555(a,1),4917(a,1,2))]. 5359 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(160,a,4922,a,b,118,a)]. 5360 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(214,a,4923,a)]. 5362 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(220,a,4778,a(flip),b,4933,a),flip(a)]. 5364 T(x * K(x * y,x),y) = R(x,y,x). [hyper(220,a,4580,a(flip),b,4933,a)]. 5365 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4933,a,b,4778,a(flip))]. 5366 (x * T(y,y \ 1)) / x = (y \ 1) \ K(x,y). [hyper(220,a,2096,a(flip),b,4933,a(flip))]. 5368 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4933(a,2),4825(a,2,1)),flip(a)]. 5369 T(x,y) / T(x * K(z,x),y) = K(T(x,y),z). [para(4933(a,2),4958(a,2,2)),flip(a)]. 5370 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4933(a,2),4784(a,1))]. 5371 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5364(a,1),41(a,1,1)),flip(a)]. 5374 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(17(a,1),5063(a,1,1,1)),flip(a)]. 5376 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4778(a,1),5063(a,1,1))]. 5377 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(220,a,4091,a,b,5064,a),flip(a)]. 5380 ((x * y) / x) * (K(y,x) * z) = y * z. [para(5087(a,1),17(a,1,2))]. 5381 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(220,a,3050,a(flip),b,5092,a)]. 5383 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5092(a,2),3064(a,1))]. 5385 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(5158(a,1),1196(a,1,2)),flip(a)]. 5386 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4546(a,2),5215(a,1,1))]. 5387 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(220,a,2122,a,b,5227,a)]. 5390 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5229(a,1),114(a,2,1))]. 5391 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5229(a,1),555(a,1))]. 5393 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5229(a,1),390(a,1,1))]. 5394 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(87,a,5237,a)]. 5396 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(254(a,2),5237(a,1,2,2,1))]. 5397 (x * ((1 / y) * z)) / x = ((1 / y) * z) * K(x,(y \ 1) * z). [para(5323(a,1),4778(a,2,2))]. 5398 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(4233,a,5330,a)]. 5399 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(1805(a,2),5331(a,1,2,1))]. 5400 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3442(a,1),5331(a,1,2,1)),flip(a)]. 5401 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(220,a,5318,a(flip),b,5338,a(flip)),flip(a)]. 5402 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3659(a,1),5401(a,1,2,1))]. 5403 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(5249,a,5350,a)]. 5404 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(17(a,1),5350(a,1,2,1,1))]. 5406 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(78,a,5355,a),flip(a)]. 5407 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(71,a,2858,a(flip),b,5355,a),flip(a)]. 5408 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(72,a,5360,a(flip),b,4756,a),flip(a)]. 5412 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4857(a,1),5380(a,1,2))]. 5413 ((x * y) / x) * z = y * (K(x,y) * z). [para(5238(a,1),5380(a,1,2))]. 5414 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4144(a,1),5387(a,1,2)),flip(a)]. 5415 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(893(a,1),5394(a,1,2))]. 5416 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1219(a,1),5394(a,1,2))]. 5417 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(555,a,5403,a),flip(a)]. 5418 (x * K(y,x)) * z = K(y,x) * (x * z). [hyper(220,a,4922,a(flip),b,5403,a),flip(a)]. 5421 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5406(a,2),4195(a,1))]. 5424 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(17(a,1),5408(a,1,1,2,1))]. 5425 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5408(a,1),1277(a,2,1,2))]. 5426 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))) # label(flip_matches_hint). [para(5408(a,1),3127(a,1,2,1))]. 5429 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(220,a,4922,a(flip),b,5413,a(flip)),flip(a)]. 5430 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(17(a,1),5413(a,1,1,1)),flip(a)]. 5431 T(x,y) * (K(x * y,T(x,y)) * z) = R(x,y,T(x,y)) * z. [para(170(a,1),5413(a,1,1)),flip(a)]. 5432 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5413(a,1),704(a,1,1))]. 5433 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4066(a,1),5413(a,1,1))]. 5436 L(x,y,K(z,y)) = x. [hyper(20,a,2877,a,b,5418,a),flip(a)]. 5437 (x * K(y,x)) * T(z,x) = K(y,x) * (z * x). [para(118(a,1),5418(a,2,2))]. 5438 a(K(x,y),y,z) = 1. [hyper(37,a,5436,a)]. 5439 R(x,K(y,x),z) = x. [hyper(4687,a,5429,a)]. 5440 L(x,K(y,z),z) = x. [hyper(388,a,5429,a)]. 5441 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5429(a,1),31(a,2,1)),flip(a)]. 5442 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5439(a,1),423(a,1,1,1)),flip(a)]. 5443 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5439(a,1),425(a,1,1,1)),flip(a)]. 5444 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5440(a,1),212(a,1,2))]. 5446 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(220,a,3699,a(flip),b,4921,a(flip)),flip(a)]. 5447 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5446(a,1),1836(a,1,1,2))]. 5452 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(118(a,1),5022(a,1,2))]. 5456 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(5112(a,1),5127(a,1,2))]. 5457 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(35(a,2),5137(a,1,2))]. 5458 (x \ y) * T(T(x,x \ y),z) != u | K(x,z) * y = u. [para(171(a,2),5137(a,1))]. 5459 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5115(a,1),5137(a,1,2))]. 5460 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3772(a,2),5205(a,1))]. 5464 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2040(a,1),5221(a,1,2))]. 5466 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2126,a,5304,a)]. 5467 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4777(a,2),4793(a,1,1)),flip(a)]. 5468 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(66(a,1),5467(a,2,1,2))]. 5469 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5467(a,2),118(a,1,2))]. 5470 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3806(a,1),5467(a,2,1))]. 5472 x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). [para(5467(a,1),4801(a,2,2)),flip(a)]. 5473 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(220,a,3811,a,b,5468,a(flip)),flip(a)]. 5474 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2287(a,1),5468(a,1,2))]. 5475 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5468(a,1),3072(a,1,2,1))]. 5476 L(x,T(K(y,z),u),L(y,w,v5)) = x. [para(5468(a,1),4248(a,1,2))]. 5477 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5345(a,1),5468(a,1,2))]. 5478 L(x,T(K(y,z),u),L(y,w,v5)) = v6 \ (v6 * x). [hyper(220,a,16,a,b,5476,a)]. 5479 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(71,a,5066,a(flip),b,4814,a)]. 5480 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4815,a,b,4897,a),flip(a)]. 5481 R(x * K(y,x),z,u) * y != y * w | R(x,z,u) = w. [para(4897(a,2),22(a,1))]. 5483 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5194(a,1),4901(a,1,1,2))]. 5484 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5483(a,1),118(a,1,2)),flip(a)]. 5485 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(220,a,2310,a(flip),b,4919,a),flip(a)]. 5486 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(220,a,4778,a(flip),b,4935,a),flip(a)]. 5487 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4935,a,b,4776,a(flip))]. 5488 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4935(a,2),4958(a,2,2)),flip(a)]. 5489 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4936,a,b,4778,a(flip))]. 5490 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4936(a,2),4068(a,1,1))]. 5491 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4936(a,2),4825(a,2,1)),flip(a)]. 5492 K((x / y) \ 1,z) = K(y / x,z). [hyper(220,a,4786,a(flip),b,5031,a(flip))]. 5495 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(846(a,1),5031(a,1,1)),flip(a)]. 5496 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(741(a,1),5031(a,1,1))]. 5497 K(1 / (x / y),z) = K(y / x,z). [hyper(5295,a,5492,a)]. 5499 K((x / y) \ 1,x) = K(x \ y,x). [hyper(220,a,5147,a(flip),b,5492,a)]. 5500 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),5492(a,1,1,1)),flip(a)]. 5501 K((x \ y) / y,z) = K(x \ 1,z). [para(63(a,1),5492(a,1,1,1)),flip(a)]. 5502 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5492(a,1),5142(a,1,1)),flip(a)]. 5503 K(x / (y * x),z) = K(1 / y,z). [para(18(a,1),5497(a,1,1,2)),flip(a)]. 5504 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5497(a,1),3068(a,1))]. 5507 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5500(a,2),5295(a,1))]. 5509 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5503(a,2),3068(a,1))]. 5510 K(x,(y / z) \ 1) = K(x,z / y). [hyper(220,a,5142,a(flip),b,5502,a)]. 5511 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5502(a,2),5155(a,1))]. 5512 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [hyper(220,a,5394,a,b,5510,a),flip(a)]. 5513 K(x,1 / (y / z)) = K(x,z / y). [hyper(220,a,3811,a,b,5510,a(flip)),flip(a)]. 5514 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),5510(a,1,2,1)),flip(a)]. 5516 K(x,(y \ z) / z) = K(x,y \ 1). [para(63(a,1),5510(a,1,2,1)),flip(a)]. 5517 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(115(a,2),5510(a,1,2,1))]. 5522 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(4015(a,2),5504(a,1))]. 5523 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(17(a,1),5509(a,1,1,2))]. 5525 K(x,y \ 1) != z | K(x,1 / y) = z. [para(61(a,1),5511(a,1,2,1))]. 5528 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(893(a,1),5032(a,1,2))]. 5529 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1219(a,1),5032(a,1,2))]. 5530 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(1611(a,1),5032(a,1,2))]. 5531 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1085,a,5040,a)]. 5533 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(854,a,5040,a),flip(a)]. 5534 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(757,a,5040,a),flip(a)]. 5535 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(631,a,5040,a),flip(a)]. 5536 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(220,a,893,a(flip),b,5040,a(flip)),flip(a)]. 5537 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(72,a,5040,a(flip),b,344,a)]. 5539 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) != u | T(x,z) / y = u. [para(5040(a,1),857(a,1))]. 5540 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5040(a,1),1412(a,2,1)),flip(a)]. 5542 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(220,a,846,a(flip),b,5041,a)]. 5543 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(220,a,811,a(flip),b,5041,a)]. 5545 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(16(a,1),5041(a,2,2,1))]. 5546 x / (y * T(y \ x,z)) != u | K(z,(y / x) \ 1) = u. [para(5041(a,1),5253(a,1,2))]. 5547 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5016,a,5044,a)]. 5549 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(66(a,1),5547(a,2,1,1))]. 5551 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3041(a,1),5547(a,2,1))]. 5552 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2287(a,1),5549(a,1,1))]. 5554 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5551(a,1),5161(a,1,2)),flip(a)]. 5555 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(87,a,5048,a)]. 5556 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(821(a,1),5049(a,1,1)),flip(a)]. 5558 ((x \ y) \ ((x \ 1) \ (x \ y))) * (x \ y) = (x \ 1) \ (y / x). [hyper(71,a,5058,a(flip),b,5048,a),flip(a)]. 5559 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(220,a,1160,a(flip),b,5059,a(flip)),flip(a)]. 5560 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5083(a,2),161(a,2)),flip(a)]. 5561 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(220,a,4923,a,b,5100,a(flip)),flip(a)]. 5562 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2645,a,5101,a)]. 5563 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5108(a,1),4306(a,1,1,1))]. 5567 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(220,a,2867,a,b,5123,a(flip)),flip(a)]. 5568 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5130(a,1),41(a,1,1)),flip(a)]. 5571 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(220,a,3748,a,b,5203,a)]. 5572 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(72,a,3748,a,b,5203,a)]. 5573 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [hyper(20,a,5355,a,b,5203,a(flip)),flip(a)]. 5576 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5213(a,1),5265(a,1,2)),flip(b)]. 5577 K(x / (y \ 1),y) = K(y * x,y). [hyper(220,a,5219,a(flip),b,5305,a(flip))]. 5578 K(x * (y \ (x \ 1)),x) = K(y \ 1,x). [hyper(5523,a,5577,a),flip(a)]. 5579 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4528(a,1),5334(a,1,2,1)),flip(a)]. 5580 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2808(a,1),5335(a,1,2,1))]. 5582 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(2821(a,1),5343(a,1,2,2)),flip(a)]. 5583 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(3624(a,1),5343(a,1,2,2))]. 5589 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5365(a,1),208(a,1,2)),flip(b)]. 5590 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4850(a,2),5365(a,1,2,1))]. 5591 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5040(a,2),5365(a,1,2,1))]. 5595 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5362(a,1),5368(a,1,1,1))]. 5596 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5249,a,5374,a)]. 5598 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(35(a,2),5374(a,1,2))]. 5602 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3774(a,1),5386(a,1,1,1)),flip(a)]. 5609 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5404(a,1),5265(a,1,2)),flip(b)]. 5611 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(17(a,1),5412(a,1,1,1)),flip(a)]. 5617 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(120(a,1),5469(a,1,2,2,1)),flip(a)]. 5619 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4778(a,1),5485(a,1,1,1))]. 5620 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4950(a,1),5485(a,1,1))]. 5621 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(220,a,5470,a(flip),b,5554,a(flip))]. 5622 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(220,a,2439,a(flip),b,5621,a(flip)),flip(a)]. 5623 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5621(a,1),4827(a,2,1)),flip(a)]. 5624 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5622(a,1),184(a,1,2)),flip(a)]. 5625 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5622(a,1),4828(a,2,2)),flip(a)]. 5626 K(K(x,y),z) = K(z,K(y,x)). [hyper(220,a,5167,a(flip),b,5623,a(flip)),flip(a)]. 5627 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5626(a,1),4801(a,2,2)),flip(a)]. 5628 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5626(a,1),4812(a,2,1)),flip(a)]. 5629 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5626(a,1),4875(a,1,1))]. 5631 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5625(a,1),5430(a,1,2)),flip(a)]. 5632 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5627(a,1),5265(a,1,2)),flip(b)]. 5633 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(66(a,1),5555(a,1,2,1,2))]. 5634 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(18(a,1),5559(a,1,1)),flip(a)]. 5636 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5571(a,1),5244(a,1,2))]. 5637 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5058(a,1),5573(a,1,1)),flip(a)]. 5643 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3520(a,1),4803(a,1,2,1)),flip(a)]. 5644 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3520(a,1),4837(a,1,1,1)),flip(a)]. 5646 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4946(a,2),4592(a,1,1))]. 5647 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5007,a,1541,a),flip(a)]. 5648 K(x,1 / (y \ x)) = K(x,y / x). [hyper(5007,a,1356,a)]. 5649 K(x,(x / y) / x) = K(x,1 / y). [hyper(5007,a,1353,a(flip)),flip(a)]. 5650 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5649(a,1),235(a,1,2))]. 5653 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(741(a,1),5008(a,1,1))]. 5654 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5031(a,1),5008(a,1))]. 5656 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3991(a,1),5149(a,2,1,1))]. 5658 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3671(a,2),5293(a,2,1,2))]. 5659 T(x,K(y,y \ 1)) != z | z = x. [para(2667(a,1),5298(a,1))]. 5660 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(3554(a,2),5298(a,1))]. 5661 T(x / y,y) != z | y \ x = z. [para(1505(a,1),5659(a,1)),flip(b)]. 5662 T(x,x \ y) != z | (x \ y) \ y = z. [para(3053(a,1),5659(a,1)),flip(b)]. 5667 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(45(a,2),5662(a,1))]. 5672 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(220,a,45,a,b,5371,a)]. 5674 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4778(a,2),5444(a,1,1))]. 5677 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(2127(a,2),5632(a,1))]. 5678 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5167(a,1),5677(a,1))]. 5679 R(x,K(y,z),T(z,u)) = x. [hyper(418,a,4769,a)]. 5680 (x * K(y,z)) * T(z,y) = x * z. [para(4844(a,1),4769(a,2,2))]. 5681 (x / T(y,z)) * y = x * K(z,y). [hyper(1127,a,5680,a)]. 5682 (x / T(y,z)) / K(z,y) = x / y. [hyper(502,a,5680,a),flip(a)]. 5683 (x * y) / T(y,z) = x * K(z,y). [hyper(87,a,5680,a)]. 5684 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(78,a,5680,a)]. 5685 (x / y) * K(z,y) = x / T(y,z). [hyper(72,a,19,a(flip),b,5680,a),flip(a)]. 5686 (x * T(y,z)) * K(z,y) = x * y. [hyper(21,a,1103,a(flip),b,5680,a)]. 5690 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4811(a,1),5680(a,1,1)),flip(a)]. 5691 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(160,a,5681,a,b,17,a),flip(a)]. 5692 (x * K(y,z)) / z = x / T(z,y). [hyper(87,a,5681,a)]. 5696 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(5681(a,1),161(a,2)),flip(a)]. 5698 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(4042(a,1),5681(a,1,1))]. 5700 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5682(a,1),214(a,1,1)),flip(b)]. 5702 (x \ y) * K(y,x) = x \ T(y,x). [hyper(220,a,4657,a(flip),b,5683,a(flip))]. 5707 (x / y) * K(x,y) = T(x,y) / y. [hyper(220,a,4082,a,b,5685,a)]. 5709 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(71,a,5685,a(flip),b,5433,a(flip)),flip(a)]. 5710 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(5685(a,1),269(a,1))]. 5713 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(160,a,5686,a,b,5238,a)]. 5714 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(78,a,5686,a)]. 5717 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(71,a,17,a(flip),b,5686,a)]. 5719 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(5686(a,1),209(a,1,2)),flip(b)]. 5720 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(119(a,1),5686(a,1,1,2))]. 5722 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(5686(a,1),421(a,1,2)),flip(a)]. 5724 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(5692(a,1),4146(a,1,1,2))]. 5725 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(5692(a,1),4149(a,1,1,1,2))]. 5726 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5702(a,1,1)),flip(a)]. 5727 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5674,a,5707,a)]. 5731 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(811(a,1),5717(a,1,1)),flip(a)]. 5732 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(893(a,1),5717(a,1,1))]. 5733 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(742(a,1),5717(a,1,1))]. 5734 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1410(a,1),5717(a,1,1))]. 5735 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1611(a,1),5717(a,1,1))]. 5736 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5717(a,1),2355(a,2,1,2,1))]. 5737 x * (y * K(x * y,x)) = T(x * y,x). [para(5726(a,1),17(a,1,2))]. 5739 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(5726(a,2),4964(a,1,1))]. 5740 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(17(a,1),5719(a,1,2))]. 5741 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(21,a,4643,a,b,5720,a)]. 5742 x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. [para(5720(a,1),23(a,1)),flip(a)]. 5745 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(742(a,1),5740(a,1,1))]. 5747 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(21,a,4815,a,b,4906,a),flip(a)]. 5748 ((x * y) / x) * K(z,(x * y) / x) = (x * (y * K(z,y))) / x. [hyper(4784,a,4940,a)]. 5749 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4943(a,1),5661(a,1,1))]. 5750 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4984(a,1),19(a,1,1))]. 5751 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(220,a,2359,a,b,5027,a(flip)),flip(a)]. 5753 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4794(a,1),5027(a,1,1))]. 5754 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(66(a,1),5753(a,1,1,1)),flip(a)]. 5755 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5753(a,1),114(a,1,1))]. 5756 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3041(a,1),5753(a,1,1)),flip(a)]. 5757 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5754(a,1),5753(a,1,1)),flip(a)]. 5758 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5756(a,1),5242(a,1,1)),flip(a)]. 5759 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(220,a,1507,a(flip),b,5028,a(flip)),flip(a)]. 5760 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(66(a,1),5028(a,1,2,2,1,2))]. 5761 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(118(a,1),5028(a,1,2))]. 5762 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(755(a,1),5028(a,1,2))]. 5763 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4794(a,1),5030(a,1,1))]. 5764 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5763(a,1),103(a,1,2))]. 5765 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3041(a,1),5763(a,1,1)),flip(a)]. 5766 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5142(a,1),5763(a,1,1,1)),flip(a)]. 5767 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5549(a,1),5763(a,1,1)),flip(a)]. 5768 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5551(a,1),5763(a,1,1)),flip(a)]. 5769 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5765(a,1),5142(a,1,1)),flip(a)]. 5770 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5765(a,1),5242(a,1,1)),flip(a)]. 5771 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(220,a,755,a(flip),b,5033,a),flip(a)]. 5772 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5037(a,2),1508(a,1,1))]. 5773 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3009(a,1),5039(a,1,1))]. 5774 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3336(a,1),5039(a,2,2,1))]. 5775 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5039(a,2),5043(a,1,2))]. 5776 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5046(a,1),5016(a,1))]. 5778 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(3039(a,1),5052(a,2,1))]. 5779 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(5085(a,1),22(a,1)),flip(a)]. 5780 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4228(a,1),5103(a,1,2))]. 5781 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5780(a,2),66(a,1,1))]. 5782 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5504,a,5116,a)]. 5783 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(4993(a,1),5235(a,1,1)),flip(a)]. 5784 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(5290,a,5783,a),flip(a)]. 5785 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5252,a,5784,a)]. 5787 (1 / x) * K(x,y) = K(x,y) / x. [hyper(1501,a,5785,a)]. 5788 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1061(a,1),5309(a,1,1))]. 5789 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2004(a,1),5309(a,1,1))]. 5790 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(220,a,4923,a(flip),b,5312,a),flip(a)]. 5792 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(63(a,1),5337(a,1,2,2,1)),flip(a)]. 5793 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(3242(a,2),5344(a,1,2,2))]. 5794 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4631(a,1),5415(a,1,2))]. 5795 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4663(a,1),5416(a,1,2))]. 5796 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5531(a,1),17(a,1,2))]. 5801 (x * K(y,(x \ z) \ 1)) / x != u | K(y,(z / x) \ 1) = u. [para(5617(a,1),272(a,1,1)),flip(b)]. 5802 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4950(a,1),5617(a,1,1,2))]. 5803 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5510(a,1),5617(a,1,1)),flip(a)]. 5806 T(T(x,K(y,z)),K(z,y)) = x. [hyper(20,a,5377,a,b,5629,a(flip)),flip(a)]. 5807 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(220,a,175,a(flip),b,5806,a(flip)),flip(a)]. 5808 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5806(a,1),118(a,1,2)),flip(a)]. 5810 T(K(x,y),K(z,y)) = K(x,y). [para(2121(a,1),5806(a,1,1))]. 5811 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(71,a,5810,a(flip),b,5243,a)]. 5812 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5810(a,1),118(a,1,2))]. 5814 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [hyper(72,a,5041,a(flip),b,5808,a)]. 5815 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(2120(a,1),5808(a,1,1))]. 5816 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(220,a,4856,a,b,5812,a),flip(a)]. 5817 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5816(a,1),3875(a,2,3))]. 5818 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5499(a,1),5633(a,1,1,2))]. 5819 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4850(a,2),5818(a,1,1))]. 5820 (x / y) * ((x \ y) * x) = y / (y / x). [para(5819(a,1),19(a,1,1))]. 5821 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(307(a,1),5647(a,1,2,2,1,2))]. 5822 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [para(5731(a,2),17(a,1,2))]. 5827 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(66(a,1),5775(a,1,2,1,1))]. 5829 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3041(a,1),5775(a,1,2,1))]. 5830 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5142(a,1),5796(a,1,2,2,1,1,2))]. 5831 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(21,a,5681,a,b,5035,a),flip(a)]. 5833 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4667(a,1),5831(a,1,2))]. 5838 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5242(a,1),5256(a,1,1))]. 5839 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(220,a,4248,a(flip),b,5267,a(flip))]. 5840 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1862,a,5447,a)]. 5841 (x * y) \ T(x,y) = (y * x) \ x. [hyper(220,a,4284,a(flip),b,5840,a(flip)),flip(a)]. 5842 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(220,a,333,a(flip),b,5841,a(flip))]. 5843 T(x,y) = (x * y) * ((y * x) \ x). [para(5841(a,1),17(a,1,2)),flip(a)]. 5844 T(x,y) / ((y * x) \ x) = x * y. [para(5841(a,1),63(a,1,2))]. 5845 T(x,y / x) / (y \ x) = x * (y / x). [para(19(a,1),5844(a,1,2,1))]. 5846 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(220,a,5650,a,b,5845,a)]. 5847 T(x,x \ y) / (y \ x) = x * (y / x). [para(4088(a,1),5845(a,1,1))]. 5848 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5847(a,1),19(a,1,1))]. 5853 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(20,a,4715,a(flip),b,5486,a)]. 5854 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(20,a,4709,a(flip),b,5486,a)]. 5855 (x * (y * z)) \ ((x * y) * L(z * K(u,z),y,x)) = L(K(u,L(z,y,x)),L(z,y,x),x * y). [para(5486(a,1),389(a,1,2,2))]. 5856 L(x * K(y,x),z,u) != w | (y * L(x,z,u)) / y = w. [para(5486(a,1),4817(a,1))]. 5857 L(K(x,x \ 1),y,z) = K(x,L(x \ 1,u,w)). [hyper(220,a,4474,a,b,5853,a),flip(a)]. 5859 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(220,a,4467,a,b,5854,a),flip(a)]. 5860 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5854(a,2),2525(a,1,1))]. 5866 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5394(a,1),5546(a,1))]. 5867 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5114(a,1),5576(a,1))]. 5868 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(890(a,2),5867(a,1))]. 5871 (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. [para(4528(a,1),5609(a,1))]. 5876 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5751(a,1),594(a,1,2))]. 5877 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(5776,a,5860,a)]. 5878 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(220,a,5859,a(flip),b,5877,a)]. 5880 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5878(a,2),5153(a,1,1))]. 5881 R(x,K(y,z),R(z,u,w)) = x. [hyper(418,a,4770,a)]. 5882 R(x,K(y,z),L(z,u,w)) = x. [hyper(418,a,4771,a)]. 5883 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [hyper(2537,a,4862,a)]. 5884 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(5102,a,5883,a)]. 5885 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(220,a,2405,a(flip),b,4961,a)]. 5886 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3605,a,5885,a)]. 5887 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(5589,a,5107,a)]. 5888 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4639(a,1),5887(a,1,1,2))]. 5889 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(220,a,4938,a(flip),b,5888,a(flip)),flip(a)]. 5890 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(5889(a,2),4616(a,1,1,1,2))]. 5891 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(4986(a,1),5129(a,1,2,1))]. 5892 K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). [hyper(220,a,4093,a(flip),b,5135,a)]. 5894 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4608,a,5136,a(flip)),flip(a)]. 5895 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(220,a,5619,a(flip),b,5170,a)]. 5896 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5815(a,1),5170(a,2,1,1))]. 5897 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3824(a,1),5282(a,1,2)),flip(a)]. 5899 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4790(a,1),5306(a,1,1))]. 5900 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5899(a,1),103(a,1,2))]. 5901 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3806(a,1),5899(a,1,1)),flip(a)]. 5903 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(5142(a,1),5899(a,1,1,2)),flip(a)]. 5904 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(5470(a,1),5899(a,1,1)),flip(a)]. 5905 K(x,1 / L(y \ 1,z,u)) = L(K(x,y),z,u). [hyper(5525,a,5901,a)]. 5906 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(220,a,5769,a(flip),b,5901,a(flip)),flip(a)]. 5907 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(298(a,1),5901(a,1,2,1)),flip(a)]. 5908 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5901(a,1),5899(a,1,1)),flip(a)]. 5909 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5906(a,1),274(a,1,2)),flip(b)]. 5910 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [para(66(a,1),5905(a,1,2,2,1)),flip(a)]. 5911 L(T(K(x,y \ z),u),y \ z,y) = T(K(x,(z \ y) \ 1),u). [para(5907(a,1),43(a,2,1))]. 5912 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(5906(a,1),5903(a,1,2)),flip(a)]. 5913 x * L(K(x,K(y,z)),u,w) = T(x,L(K(y,z),u,w)). [para(5912(a,2),4801(a,2,2)),flip(a)]. 5914 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(17(a,1),5307(a,1,2,2,1))]. 5915 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(17(a,1),5310(a,1,2,1))]. 5916 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(5313(a,2),5315(a,1,2))]. 5917 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(16(a,1),5916(a,1,2,2)),flip(a)]. 5923 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2865(a,1),5443(a,1,1))]. 5924 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3686(a,1),5529(a,1,2)),flip(a)]. 5925 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),5533(a,2,2))]. 5926 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4665,a,5536,a),flip(a)]. 5927 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(220,a,55,a(flip),b,5643,a)]. 5930 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5644(a,2),210(a,1))]. 5932 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(220,a,5884,a(flip),b,5658,a)]. 5933 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(118(a,1),5733(a,1,1,2))]. 5934 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(742(a,1),5733(a,1,1,2))]. 5935 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1219(a,1),5733(a,1,1,2))]. 5936 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(220,a,5026,a(flip),b,5759,a(flip))]. 5937 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5040(a,1),5759(a,1,1))]. 5939 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(755(a,1),5760(a,1,2)),flip(a)]. 5940 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(5768(a,1),5242(a,1,1)),flip(a)]. 5941 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5901(a,1),5770(a,1,1)),flip(a)]. 5942 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(209,a,5941,a)]. 5943 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5941(a,2),83(a,1)),flip(b)]. 5944 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5942(a,1),22(a,1)),flip(a)]. 5945 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5942(a,1),209(a,1,2)),flip(b)]. 5946 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(5769(a,2),5943(a,1))]. 5947 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5771(a,1),17(a,1,2))]. 5948 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5576,a,5773,a),flip(a)]. 5949 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(220,a,5794,a(flip),b,5795,a(flip))]. 5950 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(16(a,1),5802(a,2,2,2,1))]. 5951 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(72,a,5886,a(flip),b,2487,a)]. 5952 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(5923(a,1),418(a,1))]. 5953 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5936(a,1),5947(a,1,2,2))]. 5954 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5953(a,1),1374(a,2,2,1))]. 5955 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(220,a,1865,a,b,4965,a(flip)),flip(a)]. 5956 K(x,y) * ((y * x) * T(z,x * y)) = L(z,y * x,K(x,y)) * (x * y). [hyper(315,a,4981,a),flip(a)]. 5957 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5133(a,1),5253(a,1,2))]. 5958 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3835(a,1),5292(a,1,1,1))]. 5959 T(x,y) * (K(x * y,x) * z) = R(x,y,T(x,y)) * z. [para(5078(a,1),5431(a,1,2,1))]. 5960 T(x,y) * K(x * y,x) = R(x,y,T(x,y)). [hyper(4424,a,5959,a(flip))]. 5961 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(220,a,4576,a(flip),b,5960,a)]. 5962 (x * T(y,z)) \ (x * R(y,z,T(y,z))) = L(K(y * z,y),T(y,z),x). [para(5960(a,1),31(a,2,2,2)),flip(a)]. 5963 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5961,a(flip),b,4818,a),flip(a)]. 5964 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5961(a,1),5072(a,1,2))]. 5965 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2126,a,5963,a)]. 5966 x \ R(x,x \ y,x) = K(x,x \ y) * K(y,x). [para(17(a,1),5963(a,1,2,1)),flip(a)]. 5967 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5963(a,1),2126(a,1))]. 5968 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5963(a,1),5727(a,1,2))]. 5969 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(17(a,1),5965(a,1,1,1)),flip(a)]. 5970 K(x \ y,y) * K(y,x \ 1) = y \ R(y,x \ 1,y). [para(5348(a,1),5965(a,1,1))]. 5971 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(5968(a,1),491(a,1,2))]. 5972 x \ R(x,x \ y,x) != z | K(y,x) * K(x,x \ y) = z. [para(5966(a,2),2126(a,1))]. 5973 x \ R(x,x \ y,x) != z | K(x,x \ y) * K(y,x) = z. [para(5969(a,2),2124(a,1))]. 5975 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4938(a,1),5563(a,1,1)),flip(a)]. 5976 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(220,a,43,a,b,5975,a)]. 5977 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5976(a,1),47(a,1,1)),flip(a)]. 5980 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(66(a,1),5833(a,1,2,2)),flip(a)]. 5983 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5154,a,5880,a)]. 5984 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [para(378(a,1),5983(a,2,1))]. 5985 L(x,y,z) \ K(L(x,u,w),x \ 1) != v5 | 1 / L(x,y,z) = v5. [para(5983(a,1),1774(a,1,2))]. 5987 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,5984,a(flip),b,1760,a(flip))]. 5989 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,5987,a(flip),b,1776,a(flip)),flip(a)]. 5990 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(5987(a,1),4872(a,1,2)),flip(a)]. 5991 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(4685(a,2),5990(a,1,2))]. 5992 L(T(K(x,y \ z),u),y \ z,y) = K(x,T(z \ y,u) \ 1). [hyper(220,a,5467,a,b,5911,a)]. 5993 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(220,a,3375,a(flip),b,5958,a)]. 5994 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(3753,a,5991,a)]. 5995 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5994(a,1),19(a,1,1))]. 5996 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(160,a,5995,a,b,1300,a)]. 5999 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1659,a,4930,a),flip(a)]. 6000 (x * (y * K(z,y))) / (x * K(z,y)) != y * u | K(x * K(z,y),y) = u. [para(4948(a,2),22(a,1))]. 6001 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4902(a,1),4957(a,1,2)),flip(a)]. 6002 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1320(a,1),6001(a,2,2))]. 6003 (1 / (1 / ((x * y) / x))) \ K(x,y) = 1 / y. [hyper(220,a,1470,a(flip),b,5054,a)]. 6004 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(220,a,3903,a(flip),b,5201,a)]. 6005 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(118(a,1),5534(a,2,2))]. 6006 T(x \ y,x) / ((x \ 1) \ (x \ y)) = (x \ y) / ((x \ 1) \ (y / x)). [para(5558(a,1),4239(a,2,2))]. 6007 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5484(a,1),5583(a,1,2,2,1)),flip(a)]. 6008 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(690,a,5637,a)]. 6009 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(66(a,1),5734(a,1,1,1,2,1))]. 6010 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5083(a,1),5735(a,1,1,1)),flip(a)]. 6011 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(484(a,1),5757(a,1,1,1)),flip(a)]. 6012 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(55(a,1),5772(a,2,2,2,1,2))]. 6014 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4794(a,1),6012(a,2,2))]. 6015 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(18(a,1),6014(a,1,1,1))]. 6016 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(72,a,6015,a(flip),b,114,a)]. 6018 ((x * y) * K(y \ 1,z)) / y != u | x * K(y \ 1,z) = u. [para(6015(a,1),272(a,1,1)),flip(b)]. 6019 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(6018,a,4929,a),flip(a)]. 6020 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [hyper(5871,a,6019,a)]. 6021 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(5205,a,6019,a)]. 6022 (x * K(y \ 1,x * y)) \ x = K(x / (y \ 1),y \ 1). [para(6019(a,1),102(a,1,1))]. 6023 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(220,a,5398,a(flip),b,6021,a(flip))]. 6024 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4861,a,6023,a)]. 6025 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6023(a,2),5698(a,2,2))]. 6026 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(20,a,4794,a,b,6024,a)]. 6027 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(220,a,4157,a(flip),b,6026,a)]. 6028 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6026(a,1),1835(a,1,2,1,1))]. 6029 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6026(a,2),1835(a,1,1))]. 6031 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(17(a,1),6027(a,1,2))]. 6032 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(220,a,3025,a(flip),b,6020,a(flip))]. 6033 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(3038(a,2),6020(a,2,2))]. 6034 x * K(y,x * (1 / y)) = y * (x / y). [para(66(a,1),6032(a,1,2,1))]. 6035 (x / y) * z != x * K(y,x * (1 / y)) | T(y,x / y) = z. [para(6034(a,2),161(a,2))]. 6037 (x / (y \ 1)) * K(y,x) = y * ((x / (y \ 1)) / y). [para(5339(a,1),6034(a,1,2))]. 6038 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [hyper(360,a,6033,a)]. 6039 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(801(a,1),5789(a,1,1,1))]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(66(a,1),5827(a,2,1,1))]. 6041 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),6040(a,1,2,2)),flip(a)]. 6043 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(72,a,6041,a,b,xx)]. 6044 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6041,a,b,118,a)]. 6047 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3041(a,1),5829(a,2,1))]. 6049 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(16(a,1),6047(a,1,2,2)),flip(a)]. 6051 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(118(a,1),6049(a,2,2))]. 6052 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6049(a,2),180(a,1,2))]. 6054 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6049(a,1),5244(a,1,2))]. 6055 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5238(a,1),6054(a,1,2,2))]. 6057 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5210,a,6052,a),flip(a)]. 6058 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5238(a,1),6057(a,1,1)),flip(a)]. 6059 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5040(a,2),5830(a,1,2))]. 6060 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5535(a,1),5830(a,1,2)),flip(a)]. 6061 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4572(a,1),5894(a,1,2))]. 6062 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(220,a,5528,a(flip),b,5924,a)]. 6063 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(277,a,5937,a)]. 6064 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(220,a,5759,a,b,5939,a(flip)),flip(a)]. 6065 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5150(a,1),5999(a,1,2)),flip(a)]. 6066 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(220,a,4925,a(flip),b,6065,a)]. 6067 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),6066(a,1,1,1)),flip(a)]. 6068 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(6010(a,2),17(a,1,2))]. 6069 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(78,a,6059,a)]. 6071 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6059(a,1),22(a,1))]. 6073 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6060(a,2),22(a,1))]. 6074 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6069(a,1),4556(a,1,1))]. 6075 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(16(a,1),6074(a,1,1,2,1)),flip(a)]. 6076 T(x * K(y,z),u) != w * K(y,z) | K(z,y) * T(K(z,y) \ x,u) = w. [para(6074(a,1),23(a,1))]. 6077 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6075(a,2),23(a,1))]. 6079 L(x,T(1 / T(y,z),y),y) = T(y,z) * ((T(y,z) \ 1) * x). [hyper(5126,a,4962,a),flip(a)]. 6080 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(2839(a,1),6079(a,1,2)),flip(a)]. 6081 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(493,a,6080,a)]. 6082 (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). [para(4795(a,1),5053(a,2,2,2))]. 6083 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(388,a,6082,a)]. 6084 K(1 / L(x,y,z),x) = K(1 / x,x). [hyper(20,a,4430,a,b,6082,a)]. 6085 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3039(a,1),6083(a,1,1)),flip(a)]. 6086 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6085(a,1),5161(a,1,2)),flip(a)]. 6087 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5238(a,1),5206(a,1,2,2)),flip(a)]. 6088 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,(x * y) \ z) = u. [para(118(a,1),5745(a,1,1,2))]. 6089 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(793(a,1),5745(a,1,1,2))]. 6090 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(100(a,1),6008(a,1,3,2))]. 6091 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4596(a,1),6067(a,1,1)),flip(a)]. 6092 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(220,a,3962,a(flip),b,6091,a)]. 6094 (x * (y * K(z,y))) * y = (x * y) * (y * K(z,y)). [para(4824(a,1),4899(a,1,2))]. 6095 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(21,a,4756,a,b,6094,a),flip(a)]. 6096 x \ (y * K(z,x \ y)) = (x \ y) * K(z,x \ y). [hyper(521,a,6095,a)]. 6097 L(K(x,y),y,z) = K(x,y). [hyper(388,a,6095,a)]. 6098 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(271,a,6095,a),flip(a)]. 6099 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(220,a,4923,a,b,6095,a)]. 6100 (x * y) * z != x * (y * K(u,y)) | K(u,y) = z. [para(6095(a,1),22(a,1)),flip(a)]. 6102 L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(220,a,5510,a,b,6097,a)]. 6103 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(220,a,4993,a,b,6097,a)]. 6105 a(x,y,K(z,y)) = 1. [hyper(37,a,6097,a)]. 6107 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(220,a,5907,a(flip),b,6097,a(flip)),flip(a)]. 6109 L(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(6097(a,2),5866(a,1))]. 6110 L(K(x,y),x,z) = K(y,x) \ 1. [para(6097(a,1),5906(a,1,1)),flip(a)]. 6111 L(K(x,y),x,z) = K(x,y). [hyper(220,a,5142,a(flip),b,6110,a)]. 6112 L(K(x,y),x,z) != u | K(x,y) = u. [para(6110(a,2),5155(a,1))]. 6113 L(K(x,y),x,z) = (T(x,y) * u) / (x * u). [hyper(220,a,4787,a,b,6111,a)]. 6114 a(x,y,K(y,z)) = 1. [hyper(37,a,6111,a)]. 6115 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(220,a,5765,a,b,6111,a(flip)),flip(a)]. 6116 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(220,a,4805,a,b,6111,a(flip)),flip(a)]. 6119 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5525,a,6107,a)]. 6121 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [hyper(220,a,5717,a,b,6107,a),flip(a)]. 6122 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(220,a,2397,a(flip),b,6107,a)]. 6123 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),6107(a,1,2,1)),flip(a)]. 6124 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),6107(a,2,2))]. 6125 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(27(a,2),6107(a,1,2,1)),flip(a)]. 6126 K(x,y \ (y / z)) = K(x,z \ 1). [para(66(a,1),6107(a,1,2,1)),flip(a)]. 6130 K(x,(K(y,z) * u) \ 1) = K(x,(z * u) \ T(z,y)). [para(5112(a,1),6107(a,1,2,1))]. 6131 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5242(a,1),6107(a,1,2,1))]. 6132 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5242(a,1),6107(a,2,2))]. 6133 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6107(a,1),5312(a,1,2))]. 6134 K(x,y / z) * y = y * K(x,z \ y). [para(6107(a,1),5803(a,1,2)),flip(a)]. 6136 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6107(a,1),5899(a,1,1)),flip(a)]. 6137 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4777(a,1),6112(a,1,1))]. 6139 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(220,a,333,a(flip),b,6116,a(flip)),flip(a)]. 6140 (x * y) * K(y,z) = x * T(y,z). [para(6116(a,1),17(a,1,2))]. 6141 ((x / T(y,z)) * y) \ x = K(y,z). [para(19(a,1),6116(a,1,2))]. 6142 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6116(a,1),208(a,1,2)),flip(b)]. 6144 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(4822(a,1),6116(a,1,1))]. 6146 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(31(a,2),6119(a,1,2,2)),flip(a)]. 6149 K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. [para(6123(a,2),5511(a,1))]. 6151 R(x,y,K(y,z)) = x. [hyper(4871,a,6140,a)]. 6152 (x * K(y,z)) / T(y,z) = x / y. [hyper(506,a,6140,a)]. 6153 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(496,a,6140,a)]. 6154 x * T(x \ y,z) = y * K(x \ y,z). [hyper(479,a,6140,a),flip(a)]. 6155 (x / y) * T(y,z) = x * K(y,z). [hyper(271,a,6140,a),flip(a)]. 6157 (x \ y) * T(T(x,x \ y),z) = y * K(T(x,x \ y),z). [para(157(a,1),6140(a,1,1)),flip(a)]. 6158 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(6140(a,1),271(a,1))]. 6160 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6140(a,1),452(a,1,2))]. 6161 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6140(a,1),421(a,1,1))]. 6163 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4853(a,1),6140(a,1,1)),flip(a)]. 6164 (x * K(y,z)) * K(u,K(z,y)) = x * T(K(y,z),u). [para(5626(a,1),6140(a,1,2))]. 6165 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6140(a,1),5680(a,1,1))]. 6169 (x * K(y,z)) \ x = K(z,y). [para(5681(a,1),6141(a,1,1))]. 6170 K(x,(y * z) \ y) = (u * K(z \ 1,x)) \ u. [hyper(220,a,6123,a,b,6169,a),flip(a)]. 6171 K(x / (y \ 1),y \ 1) = K(x * y,y \ 1). [hyper(220,a,6022,a(flip),b,6169,a(flip)),flip(a)]. 6172 (x * K(y,z)) * K(z,y) = x. [para(6169(a,1),17(a,1,2))]. 6173 x / K(y,z) = x * K(z,y). [para(6169(a,1),63(a,1,2))]. 6174 x * K(y,z) != u | u * K(z,y) = x. [para(6169(a,1),86(a,1,2)),flip(b)]. 6175 (x * K(y,z)) * K(z,y) != u | u = x. [para(6169(a,1),208(a,1,2))]. 6176 x / K(y,z) != u | x * K(z,y) = u. [para(6169(a,1),274(a,1,2)),flip(b)]. 6177 L(K(x,y),z * K(y,x),(z * K(y,x)) \ 1) = (1 / (z * K(y,x))) * z. [para(6169(a,1),2770(a,1,1))]. 6178 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). [para(3137(a,1),6169(a,1,1))]. 6179 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6169(a,2),5242(a,1,1))]. 6180 K(K(x,y) / z,u) != w | K((z * K(y,x)) \ 1,u) = w. [para(6169(a,1),5523(a,1,1,1))]. 6181 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(5702(a,1),6169(a,1,1)),flip(a)]. 6182 K(x,L(y \ 1,z,u) \ 1) = (w * L(K(y,x),z,u)) \ w. [para(5765(a,1),6169(a,1,1,2)),flip(a)]. 6184 K((x \ 1) \ (x \ y),z) = (x \ y) \ (x \ T(y,z)). [para(5822(a,1),6169(a,1,1)),flip(a)]. 6186 (x / y) * y = (x * K(z,u)) * K(u,z). [hyper(231,a,6172,a)]. 6187 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(160,a,6172,a,b,5238,a)]. 6189 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(21,a,5822,a,b,6172,a)]. 6190 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(21,a,5808,a,b,6172,a)]. 6191 (x / T(y,z)) * K(y,z) = x / y. [hyper(21,a,5685,a,b,6172,a)]. 6192 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(21,a,5634,a,b,6172,a)]. 6193 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [hyper(21,a,5424,a,b,6172,a)]. 6194 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(21,a,2122,a,b,6172,a)]. 6197 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6172(a,1),209(a,1,2)),flip(b)]. 6202 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(6172(a,1),396(a,1,2,2))]. 6203 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6172(a,1),597(a,1,1,2))]. 6205 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6172(a,1),4756(a,1,1)),flip(a)]. 6206 (x * K(y,z)) * y = x * T(y,z). [para(6172(a,1),5680(a,1,1)),flip(a)]. 6207 R(x * K(y,z),K(z,y),y * z) = (x * (y * z)) / (z * y). [para(6172(a,1),4980(a,1,1,1)),flip(a)]. 6208 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6173(a,1),219(a,1,1))]. 6209 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(6173(a,1),1720(a,1,1,2))]. 6210 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6173(a,1),5513(a,2,2))]. 6211 (x * K(y,z)) * (T(y,u) * K(z,y)) = x * T(y,u). [para(6173(a,1),4775(a,1,1))]. 6212 T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)). [para(6152(a,1),120(a,1,1)),flip(a)]. 6213 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6152(a,1),207(a,1,1)),flip(b)]. 6215 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6153(a,1),818(a,1,1,2)),flip(a)]. 6216 K(x \ y,x) * (y * K(x,z)) = (x \ y) * T(x,z). [para(6153(a,1),5351(a,1,2)),flip(a)]. 6217 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6153(a,1),5572(a,1,2))]. 6218 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6153(a,1),5636(a,1,1))]. 6219 T(x,y \ (y / z)) = (u / x) \ (u * K(x,z \ 1)). [para(6126(a,1),6153(a,1,2,2)),flip(a)]. 6220 T(x,y * (1 / x)) = T(x,y / x). [hyper(6035,a,6155,a),flip(a)]. 6221 (x * T(y,z)) / y = x * K(y,z). [hyper(1149,a,6155,a)]. 6223 T(x,(x / y) / x) = T(x,1 / y). [hyper(160,a,5650,a(flip),b,6155,a)]. 6224 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(6155(a,1),161(a,2))]. 6225 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6155(a,1),1113(a,1,1))]. 6226 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6155(a,1),1131(a,1,1)),flip(a)]. 6231 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,6155,a(flip),b,6206,a)]. 6232 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1153,a,b,6206,a)]. 6233 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,118,a,b,6206,a(flip)),flip(a)]. 6234 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [hyper(71,a,6206,a(flip),b,5680,a)]. 6236 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6206(a,1),27(a,2,1,2)),flip(a)]. 6237 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6206(a,1),150(a,2,1))]. 6241 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6095(a,1),6206(a,1,1))]. 6242 T(x,(y / (1 / x)) / x) = T(x,y). [para(19(a,1),6220(a,1,2)),flip(a)]. 6243 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6221(a,1),214(a,1,1)),flip(b)]. 6244 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6221(a,1),5661(a,1,1))]. 6245 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6223(a,1),5846(a,1,1))]. 6246 L(x,K(x,y),z) = x. [hyper(4890,a,6225,a)]. 6249 L(T(x,y),K(x,z),u) = T(x,y). [para(6246(a,1),43(a,2,1))]. 6250 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6246(a,1),394(a,1,2,1))]. 6252 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6246(a,1),4720(a,1,1,2)),flip(a)]. 6255 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6249(a,1),48(a,1,1)),flip(a)]. 6256 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6249(a,1),675(a,1,2,1))]. 6259 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4861,a,6115,a)]. 6260 K(((x * y) \ x) \ 1,z) = K(y,z). [para(150(a,1),6115(a,1,1,1))]. 6261 K((x \ y) \ 1,z) = K(y \ x,z). [para(298(a,1),6115(a,1,1,1))]. 6267 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6260(a,1),4873(a,1,2))]. 6270 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(220,a,5529,a,b,6261,a(flip)),flip(a)]. 6271 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(220,a,6062,a(flip),b,6261,a(flip)),flip(a)]. 6273 K((x * (y * z)) \ (x * y),u) = K(L(z,y,x) \ 1,u). [para(31(a,2),6261(a,1,1,1)),flip(a)]. 6275 K(x \ (x / y),z) = K(y \ 1,z). [para(66(a,1),6261(a,1,1,1)),flip(a)]. 6279 K((T(x,y) \ z) \ 1,u) = K((K(y,x) * z) \ x,u). [para(5115(a,1),6261(a,1,1,1))]. 6280 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5242(a,1),6261(a,1,1,1))]. 6281 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6261(a,1),5531(a,2,2))]. 6282 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6261(a,1),5796(a,1,2,2))]. 6283 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6261(a,1),5926(a,1,2))]. 6284 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6261(a,1),6005(a,1,2))]. 6285 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6261(a,1),5540(a,1,1,2)),flip(a)]. 6286 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6261(a,1),6020(a,2,2))]. 6292 K(x \ (x / y),z) = y * T(y \ 1,z). [hyper(220,a,4794,a,b,6275,a)]. 6299 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(4921(a,1),6275(a,1,1))]. 6304 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(5822(a,1),6175(a,1,1)),flip(b)]. 6307 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. [para(3137(a,1),6197(a,1,1))]. 6308 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5480(a,1),6197(a,1,1))]. 6309 (x * (y * K(z \ 1,u))) \ (x * y) != w | K(u,L(z,y,x) \ 1) = w. [para(5764(a,1),6197(a,1,1))]. 6311 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(220,a,3056,a,b,6299,a(flip)),flip(a)]. 6312 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(220,a,3038,a,b,6311,a)]. 6313 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(63(a,1),6312(a,1,1,1))]. 6314 K(x,L(1 / y,y,z)) = 1 / K(1 / y,x). [para(6312(a,1),5161(a,1,2)),flip(a)]. 6316 x * (T(y,x) * K(z,y)) = (y * x) * K(z,y). [hyper(220,a,5412,a(flip),b,6098,a(flip)),flip(a)]. 6317 (x / y) * (z / (z / y)) = x * K(y \ z,y). [para(4850(a,2),6098(a,1,2))]. 6318 (x / y) * ((z * y) / z) != u | x * K(z,y) = u. [para(6099(a,1),271(a,1))]. 6320 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6099(a,1),6206(a,1,1))]. 6321 T(K(x,y / z),y) = K(x,z \ y). [hyper(160,a,6134,a,b,xx)]. 6322 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(21,a,3052,a(flip),b,6134,a)]. 6324 x * K(y,(z * x) \ x) = K(y,z \ 1) * x. [para(5514(a,1),6134(a,1,1)),flip(a)]. 6325 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(6321(a,1),4072(a,1,2)),flip(a)]. 6326 K(x,K(y,x / z)) * K(y,z \ x) = K(y,x / z). [para(6321(a,1),4844(a,1,2))]. 6327 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(400(a,1),6137(a,1))]. 6328 K(x * (1 / y),x) = K(y \ x,x). [hyper(220,a,5358,a(flip),b,6139,a(flip)),flip(a)]. 6329 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K((x * y) \ (x * (y * z)),u). [para(31(a,2),6139(a,1,2,2,1))]. 6330 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6139(a,1),400(a,1,1))]. 6332 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [para(742(a,1),6139(a,1,2))]. 6333 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * (1 / (1 / K(z \ (x * y),u))). [para(6139(a,1),2428(a,1,2,2,2)),flip(a)]. 6335 K((x \ 1) \ y,y) = K(y * x,y). [para(63(a,1),6328(a,1,1,2)),flip(a)]. 6336 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5560,a,6154,a),flip(a)]. 6340 (x * K(K(y,z) \ x,u)) * K(z,y) = T(x * K(z,y),u). [para(6154(a,1),6074(a,1,1))]. 6341 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6154(a,1),5745(a,1,1,2))]. 6342 K((x \ y) \ y,y) = K(x,y). [hyper(220,a,2856,a(flip),b,6336,a)]. 6343 T(K(x / y,z),x) = K(y \ x,z). [para(66(a,1),6336(a,1,1,1)),flip(a)]. 6344 K(x / y,x) = K(y \ x,x). [para(66(a,1),6342(a,1,1,1)),flip(a)]. 6345 K(x / (x / y),x) = K(y,x). [para(140(a,1),6342(a,1,1)),flip(a)]. 6346 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(220,a,6261,a,b,6343,a)]. 6347 K(x / y,z) * x = x * K(y \ x,z). [para(6343(a,1),118(a,1,2)),flip(a)]. 6348 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,103,a(flip),b,6165,a)]. 6349 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1343(a,1),6165(a,1,1))]. 6350 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6165(a,1),4104(a,1,2))]. 6351 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(21,a,6099,a,b,6186,a(flip)),flip(a)]. 6352 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(21,a,6095,a,b,6186,a(flip)),flip(a)]. 6359 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6187(a,1),5806(a,1,1))]. 6361 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5242(a,2),6190(a,1,1))]. 6362 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(72,a,4756,a(flip),b,6205,a)]. 6363 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(72,a,19,a(flip),b,6205,a)]. 6364 ((x / y) * K(y,z)) \ x = y * K(z,y). [hyper(71,a,19,a(flip),b,6205,a)]. 6368 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(6231(a,1),274(a,1,2)),flip(b)]. 6371 T(K(x,y),x * z) = K(T(x,z),y). [hyper(160,a,4875,a,b,6232,a)]. 6373 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6232(a,1),6169(a,1,1))]. 6374 (T(x,y) * z) \ (x * z) != u | K(y,T(x,z)) = u. [para(6232(a,1),6197(a,1,1))]. 6384 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(6292(a,2),5006(a,1))]. 6386 T(x,K(y,(z / x) \ 1)) = T(x,K(y,z \ x)). [para(5510(a,2),6325(a,1,2))]. 6387 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(21,a,2864,a(flip),b,6347,a)]. 6391 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4066(a,1),6351(a,1,1,2))]. 6393 T(x,K(y,z)) / K(y,z) = K(y,z) \ x. [hyper(87,a,6361,a)]. 6395 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4927(a,2),6363(a,1,2))]. 6396 ((x / y) * K(y,z)) \ (x * K(y * K(z,y),u)) = T(y * K(z,y),u). [para(6363(a,1),6153(a,1,1))]. 6397 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6364(a,1),269(a,1,1,2))]. 6398 T(K(x,y),T(y,x) * z) = K(x,T(y,z)). [hyper(220,a,5124,a,b,6373,a(flip)),flip(a)]. 6399 (x / K(y,z)) * K(x,K(y,z)) = K(y,z) \ x. [hyper(220,a,5707,a,b,6393,a(flip)),flip(a)]. 6400 K(x,T(y,T(y,x) \ z)) = T(K(x,y),z). [para(17(a,1),6398(a,1,2)),flip(a)]. 6401 T(x,K(y,T(x,z))) = x. [para(6398(a,1),2872(a,1,2))]. 6402 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(6401(a,1),118(a,1,2))]. 6403 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(6401(a,1),171(a,1,2,1)),flip(a)]. 6404 T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. [para(6113(a,2),5661(a,1,1))]. 6406 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(114(a,1),6142(a,1,1))]. 6407 R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. [para(33(a,2),6158(a,1,1))]. 6408 (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. [para(5692(a,1),6158(a,1,1))]. 6410 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6099(a,1),6243(a,1,1))]. 6412 K(L(x,x \ 1,y),z) = K(x,z). [para(63(a,1),6313(a,2,1))]. 6413 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(220,a,5161,a(flip),b,6314,a)]. 6416 K((x * y) \ y,z) != u | K(T(x,y) \ 1,z) = u. [para(135(a,1),6384(a,1,1,2))]. 6417 T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(6121(a,1),3941(a,1,1,2))]. 6418 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6121(a,1),5740(a,1))]. 6420 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6418(a,1,2,1))]. 6421 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3811(a,2),6418(a,1))]. 6422 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5242(a,1),6418(a,1,2,1))]. 6423 (x * y) * L((x \ z) / y,y,x) = z * K(y,(x * y) \ z). [para(713(a,2),6133(a,2,2)),flip(a)]. 6424 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(6170(a,2),6197(a,1))]. 6425 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(180(a,1),6424(a,1,2,1))]. 6426 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5276,a,6171,a)]. 6429 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(220,a,5086,a(flip),b,6212,a(flip)),flip(a)]. 6430 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(6429(a,1),17(a,1,2))]. 6431 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(18(a,1),6430(a,1,2,1)),flip(a)]. 6432 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(72,a,6241,a(flip),b,114,a)]. 6433 (x * (y * K(y \ z,y))) * (z / y) = (x * y) * T(z / y,y). [para(5147(a,1),6241(a,1,1,2,2))]. 6434 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6280(a,1),5547(a,2,1))]. 6435 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(220,a,4540,a(flip),b,6281,a(flip)),flip(a)]. 6436 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5726,a(flip),b,6281,a(flip))]. 6437 K((x \ 1) \ y,y) = K(x * y,y). [hyper(20,a,4926,a(flip),b,6281,a(flip))]. 6438 (x / y) \ T(x,z) = y * K(((x / y) \ 1) \ y,z). [para(19(a,1),6281(a,1,2,1))]. 6440 K((1 / x) \ y,x) = K(x * y,x). [hyper(220,a,3829,a,b,6436,a(flip)),flip(a)]. 6441 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(220,a,3832,a(flip),b,6436,a(flip))]. 6442 K(x * y,y) = K(y * x,y). [hyper(220,a,6335,a(flip),b,6437,a(flip))]. 6443 K((1 / x) * y,y) = K(x \ y,y). [para(66(a,1),6437(a,1,1,1)),flip(a)]. 6444 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(6437(a,1),4801(a,2,2)),flip(a)]. 6445 K((x \ 1) * y,y) = K(x \ y,y). [hyper(220,a,5348,a(flip),b,6442,a)]. 6447 T(x,y) * K(y * x,x) = R(x,y,x). [para(6442(a,2),5961(a,1,2))]. 6448 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6442(a,2),5963(a,1,2))]. 6449 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(6442(a,2),5965(a,1,1))]. 6450 x \ R(x,y,x) != z | K(x,y) * K(y * x,x) = z. [para(6447(a,1),5072(a,1,2))]. 6451 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6206(a,1),6448(a,1,2,1))]. 6452 x * (K(y,z) * T(z,x)) = (z * x) * K(y,z). [para(2863(a,1),6316(a,1,2))]. 6453 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5205,a,6317,a)]. 6456 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(220,a,3070,a,b,6320,a)]. 6460 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(5692(a,1),6391(a,1,1)),flip(a)]. 6461 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(220,a,6124,a(flip),b,6426,a)]. 6462 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(220,a,4228,a(flip),b,6426,a(flip))]. 6463 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(6426(a,1),234(a,1,2)),flip(a)]. 6464 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6462(a,1),5477(a,1,2,2))]. 6465 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6418,a,6441,a)]. 6466 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(220,a,6442,a,b,6441,a(flip)),flip(a)]. 6467 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(6466(a,1),5993(a,1,1,1))]. 6469 L(x * y,K(y * x,z),u) = x * y. [para(16(a,1),6252(a,2,1))]. 6470 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6469(a,1),103(a,1,2))]. 6471 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(793(a,1),6327(a,1,2))]. 6473 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(742(a,1),6327(a,1,2))]. 6474 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5032(a,1),6327(a,1))]. 6475 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(35(a,2),6474(a,1,1,1))]. 6476 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5242(a,1),6474(a,1,1,1))]. 6477 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(6346(a,2),6474(a,1))]. 6478 K(x / y,x) != z | K(y \ x,x) = z. [para(2856(a,1),6477(a,1))]. 6479 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(4646,a,6349,a)]. 6480 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(220,a,4666,a(flip),b,6479,a(flip)),flip(a)]. 6482 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6475,a,5551,a)]. 6483 L((x \ y) * K(z,x \ y),x,x \ 1) = (1 / x) * (y * K(z,x \ y)). [para(6096(a,1),2770(a,1,1))]. 6484 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2770(a,1),6136(a,1,2,1)),flip(a)]. 6485 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4620,a,6163,a(flip))]. 6486 (x * K(y,z)) * T(K(z,y),u) = x * K(u,K(y,z)). [para(6172(a,1),6164(a,1,1)),flip(a)]. 6487 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6184(a,2),3977(a,1,1))]. 6488 ((x / y) * K(y,z)) \ (x * K(y,u)) = T(y,u) * K(z,y). [hyper(71,a,6155,a(flip),b,6211,a)]. 6489 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(4848(a,1),6216(a,1,1))]. 6490 T(x,y \ (y / z)) = T(x,z \ 1). [hyper(220,a,6153,a(flip),b,6219,a)]. 6491 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6490(a,1,2,2))]. 6492 T(x,(y \ z) \ 1) = T(x,z \ y). [para(63(a,1),6490(a,1,2,2)),flip(a)]. 6493 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(135(a,1),6490(a,1,2,2)),flip(a)]. 6494 T(K(x,y),(z * y) \ z) = K(x,y). [hyper(220,a,2032,a(flip),b,6491,a)]. 6496 (x \ y) \ T((x \ y) * z,y \ x) = (((x \ y) \ 1) \ z) * ((x \ y) \ 1). [hyper(71,a,6492,a(flip),b,764,a)]. 6497 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6492(a,1),118(a,1,2))]. 6498 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6492(a,1),5662(a,1))]. 6500 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4752(a,1),6270(a,1,2))]. 6501 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6474,a,6271,a),flip(a)]. 6502 K((K(x,y) * z) \ y,u) = K(z \ T(y,x),u). [hyper(6474,a,6279,a),flip(a)]. 6503 K((x \ K(x,y)) \ y,z) = K((x \ 1) \ T(y,x),z). [para(3335(a,1),6502(a,1,1,1))]. 6505 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(20,a,6283,a,b,6284,a)]. 6506 K(x / (y * z),z) * x = y * ((z \ (y \ x)) * z). [hyper(220,a,6347,a,b,6284,a(flip)),flip(a)]. 6512 ((x * y) / x) \ T(x * y,z) = x * K((y \ K(y,x)) \ x,z). [para(4950(a,1),6438(a,2,2,1,1))]. 6513 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5460,a,6463,a)]. 6514 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = z * K(z * (x \ y),y \ x). [para(6107(a,1),6463(a,2,2))]. 6515 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(220,a,5477,a(flip),b,6464,a(flip))]. 6516 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6515(a,2),5167(a,1,1))]. 6517 x * ((y \ (x \ z)) * y) != u * z | K(z / (x * y),y) = u. [para(6506(a,1),23(a,1))]. 6518 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5677,a,6516,a),flip(a)]. 6519 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5678,a,6518,a),flip(a)]. 6520 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(321(a,2),6146(a,1,2))]. 6521 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(220,a,5881,a(flip),b,6208,a(flip))]. 6522 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(220,a,5679,a(flip),b,6208,a(flip))]. 6523 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3106(a,1),6522(a,1,2)),flip(a)]. 6524 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5066(a,1),6522(a,1,2)),flip(a)]. 6525 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6350(a,1),597(a,1))]. 6526 K(x,(y * z) \ T(y,u)) != w | K(x,z \ K(y,u)) = w. [para(6130(a,1),6422(a,1))]. 6527 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(220,a,5336,a(flip),b,6484,a)]. 6529 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(66(a,1),6527(a,1,1,2)),flip(a)]. 6530 x * K(T(y,y \ x),z) = K(y,z) * x. [hyper(5458,a,6157,a),flip(a)]. 6531 K(x,T(y,y \ z)) = (K(y,x) * z) \ z. [para(6530(a,1),6169(a,1,1)),flip(a)]. 6532 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(5946,a,6182,a),flip(a)]. 6533 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6532(a,1),17(a,1,2))]. 6534 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6532(a,1),63(a,1,2))]. 6535 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6532(a,1),86(a,1,2)),flip(b)]. 6537 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),6532(a,1,1))]. 6538 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(384(a,1),6532(a,1,1))]. 6539 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(21,a,103,a,b,6533,a)]. 6540 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(6539(a,1),22(a,1)),flip(a)]. 6541 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6539(a,1),209(a,1,2)),flip(b)]. 6542 (x * (y \ K(y,z))) * L(K(z,y),y \ 1,x) = x * (y \ 1). [para(3334(a,1),6539(a,1,1,2))]. 6543 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(66(a,1),6245(a,1,2)),flip(a)]. 6544 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(627,a,6259,a),flip(a)]. 6547 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1838(a,1),6544(a,2,2))]. 6548 T(1 / ((x * y) \ x),1 / ((x * y) \ x)) * T(z,1 / ((x * y) \ x)) = K(y,1 / ((x * y) \ x)) * (z * (1 / ((x * y) \ x))). [para(6267(a,1),5437(a,1,1))]. 6549 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(71,a,6285,a(flip),b,6154,a(flip))]. 6550 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(66(a,1),6549(a,1,2,1,2,1)),flip(a)]. 6551 (x * K(K(y,z) * x,u)) * K(y,z) = T(x * K(y,z),u). [para(5242(a,1),6340(a,1,1,2,1))]. 6552 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(220,a,43,a,b,6348,a)]. 6553 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4782(a,1),6434(a,1,1,1)),flip(a)]. 6554 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6553(a,1),118(a,1,2)),flip(a)]. 6556 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6523(a,1),3621(a,1,1)),flip(a)]. 6557 (x \ 1) \ (y * K(K(x,x \ 1) * y,z)) = (1 / x) \ T(y * K(x,x \ 1),z). [hyper(71,a,6551,a(flip),b,2908,a),flip(a)]. 6558 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4824(a,1),6552(a,2,1))]. 6559 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(412(a,2),6125(a,1,2))]. 6560 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6237(a,2),4952(a,1))]. 6561 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6471,a,6500,a),flip(a)]. 6562 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6500(a,1),6471(a,1))]. 6563 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(220,a,3833,a,b,6520,a(flip)),flip(a)]. 6564 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2466(a,1),6559(a,1,2,1))]. 6568 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(6420,a,6136,a),flip(a)]. 6569 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(17(a,1),6568(a,2,2,1))]. 6570 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(17(a,1),6568(a,2,2,2))]. 6571 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(66(a,1),6568(a,1,1,2)),flip(a)]. 6572 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(105(a,2),6568(a,2,2))]. 6573 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6112,a,6572,a),flip(a)]. 6574 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(4026,a,6572,a)]. 6575 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(217(a,1),6573(a,1,2))]. 6576 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(400(a,1),6573(a,1,2)),flip(a)]. 6577 K(x,(y * z) \ (z * x)) = K(x,T(y,z) \ x). [para(409(a,1),6573(a,1,2))]. 6578 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4286(a,1),6573(a,1,2))]. 6579 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5255(a,1),6573(a,1,2)),flip(a)]. 6580 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6031(a,2),6576(a,1,2,1))]. 6581 (x / y) \ (x * K(y,z \ (u * y))) = T(y,(u \ z) \ y). [para(6576(a,1),6153(a,1,2,2))]. 6582 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(4887(a,1),6574(a,1,2))]. 6583 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(220,a,5440,a(flip),b,6569,a(flip)),flip(a)]. 6584 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6569(a,1),43(a,2,1))]. 6585 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6569(a,1),103(a,1,2))]. 6586 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6569(a,1),6112(a,1))]. 6587 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6571(a,1,2))]. 6588 K(x,L(y,z / y,u)) = (u * (z * K(y,x))) \ (u * z). [hyper(220,a,6537,a,b,6587,a)]. 6589 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),6587(a,1,2,2)),flip(a)]. 6590 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6587(a,2),103(a,1,2))]. 6591 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4535,a,6589,a),flip(a)]. 6592 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(402(a,1),6591(a,1,2)),flip(a)]. 6593 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4572(a,1),6570(a,2,2,1))]. 6594 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5242(a,1),6570(a,1,1,2))]. 6595 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(220,a,6576,a(flip),b,6578,a)]. 6596 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6588(a,2),6541(a,1))]. 6597 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6596(a,1,2))]. 6598 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [hyper(6213,a,6581,a),flip(a)]. 6599 (T(x,y \ (z * x)) * u) \ (x * u) = K((z \ y) \ x,T(x,u)). [para(6598(a,1),6373(a,1,1,1))]. 6600 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(63(a,1),6597(a,1,2,1,2))]. 6601 (x * (y * K(y \ z,y))) * (z / y) = (x * y) * (y \ z). [para(120(a,1),6433(a,2,2))]. 6602 ((x / y) * (y * K(y \ z,y))) * (z / y) = x * (y \ z). [hyper(220,a,90,a(flip),b,6601,a)]. 6603 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(220,a,6107,a(flip),b,6465,a)]. 6604 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6485(a,1),6470(a,2,2))]. 6605 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6489(a,1),3617(a,1,1)),flip(a)]. 6606 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6585(a,1),22(a,1)),flip(a)]. 6607 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6374,a,6599,a),flip(a)]. 6608 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [para(16(a,1),6607(a,1,1,1)),flip(a)]. 6609 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(220,a,5238,a(flip),b,6604,a)]. 6610 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,5750,a,b,6609,a),flip(a)]. 6611 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6610(a,1),17(a,1,2))]. 6612 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6206(a,1),6432(a,1,2))]. 6613 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(429,a,6612,a),flip(a)]. 6615 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4816(a,1),6613(a,1,2)),flip(a)]. 6617 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5950(a,2),6594(a,2,2,1))]. 6618 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6554(a,2),6594(a,2,2,1))]. 6619 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5229(a,1),4983(a,1,2))]. 6620 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5310(a,1),5316(a,1,1))]. 6621 (x * K(y,z \ 1)) \ ((x * z) * K(y,z \ 1)) = z. [hyper(78,a,6620,a)]. 6623 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3806(a,1),6620(a,1,1,2)),flip(a)]. 6624 (x * K(y,T(z,x) \ 1)) \ ((z * x) * K(y,T(z,x) \ 1)) = T(z,x). [para(118(a,1),6621(a,1,2,1))]. 6625 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3806(a,1),6623(a,1,2)),flip(a)]. 6626 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(485,a,6625,a)]. 6627 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = ((z \ 1) * K(y,z)) / (z \ 1). [para(6626(a,1),713(a,2,1,2))]. 6628 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6043(a,1),5496(a,2,1,1))]. 6629 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(220,a,5591,a(flip),b,5530,a(flip))]. 6630 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(220,a,6261,a(flip),b,6629,a)]. 6631 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6474,a,6630,a)]. 6632 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6631(a,1),5161(a,1,2)),flip(a)]. 6633 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(220,a,5161,a(flip),b,6632,a)]. 6634 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4257(a,1),5602(a,1,2)),flip(a)]. 6635 ((x \ y) * x) / y = y / (x * (y / x)). [para(4614(a,1),6634(a,1,1))]. 6636 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(220,a,4071,a(flip),b,6635,a)]. 6637 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(3905,a,6636,a)]. 6638 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(220,a,4829,a(flip),b,6637,a)]. 6639 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(220,a,3901,a,b,6638,a(flip)),flip(a)]. 6640 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(6638(a,1),5580(a,1,2,1)),flip(a)]. 6641 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),6639(a,1,1,1)),flip(a)]. 6642 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(220,a,580,a(flip),b,6641,a(flip)),flip(a)]. 6643 ((x * y) \ 1) \ K(y,x) = T(y * x,(x * y) \ 1). [hyper(71,a,6642,a,b,118,a)]. 6646 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(17(a,1),5788(a,1,1,2,2,1))]. 6647 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(220,a,5510,a(flip),b,6646,a)]. 6648 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6646(a,2),5511(a,1))]. 6649 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6647(a,1),439(a,1,1))]. 6650 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [hyper(220,a,6386,a(flip),b,5814,a)]. 6651 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(846(a,1),6650(a,1,1))]. 6652 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4752(a,1),5935(a,1,1,2))]. 6653 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(5904(a,1),5940(a,1,1)),flip(a)]. 6654 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2774(a,1),6653(a,1,1)),flip(a)]. 6655 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2774(a,1),6654(a,1,1)),flip(a)]. 6656 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5955(a,1),17(a,1,2))]. 6657 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(220,a,47,a(flip),b,5977,a)]. 6658 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4828(a,2),6002(a,1,2)),flip(a)]. 6659 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(5003,a,6658,a(flip)),flip(a)]. 6660 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3208(a,1),6659(a,1,2))]. 6661 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6660(a,1),66(a,1,1))]. 6662 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6155(a,1),6009(a,1,1,1)),flip(a)]. 6663 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6662(a,2),17(a,1,2))]. 6664 ((x * K(y,z)) * u) \ (x * u) != w | K(z,((x / y) * u) \ (x * u)) = w. [para(6663(a,1),209(a,1,2)),flip(b)]. 6665 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6663(a,1),6169(a,1,1)),flip(a)]. 6667 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6231(a,1),6663(a,1,2,2))]. 6670 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6667(a,2),485(a,1))]. 6671 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6172(a,1),6667(a,1,1,1))]. 6673 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(6174,a,6671,a(flip))]. 6674 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(72,a,6671,a(flip),b,5681,a)]. 6675 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6671(a,2),6206(a,1,1))]. 6676 ((x * K(y,z)) * K(u,y)) * K(z,y) != w | x * K(u,y) = w. [para(6671(a,2),6175(a,1,1)),flip(b)]. 6677 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(6368,a,6674,a)]. 6678 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(4764,a,6675,a)]. 6679 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(5692(a,1),6677(a,1,1)),flip(a)]. 6680 (1 / T(x,y)) * K(x,z) = K(x,z) / T(x,y). [para(14(a,1),6679(a,1,1)),flip(a)]. 6681 ((x / T(y,z)) * K(y,u)) \ (x * K(y,u)) = T(y,z). [para(6679(a,1),66(a,1,1))]. 6682 (x * K(y,z)) / T(y,u) != w | (x / T(y,u)) * K(y,z) = w. [para(6681(a,1),274(a,1,2)),flip(b)]. 6683 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(220,a,4769,a(flip),b,6678,a)]. 6684 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2863(a,2),6683(a,2,2))]. 6685 (x * K(y,z)) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [hyper(220,a,4923,a,b,6684,a(flip)),flip(a)]. 6686 ((x * T(y,z)) / y) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [para(6221(a,2),6685(a,1,1))]. 6687 (x * T(y,z)) * K(u,y) = x * (T(y,z) * K(u,y)). [hyper(6318,a,6686,a)]. 6688 L(K(x,y),T(y,z),u) = K(x,y). [hyper(388,a,6687,a)]. 6689 (x / (T(y,z) * K(u,y))) * T(y,z) = x * K(y,u). [hyper(21,a,6186,a(flip),b,6687,a)]. 6690 (x * T(y,z)) \ (x * R(y,z,T(y,z))) = K(y * z,y). [hyper(220,a,5962,a,b,6688,a(flip)),flip(a)]. 6691 (x / R(y,z,y)) * T(y,z) = x * K(y,y * z). [para(5961(a,1),6689(a,1,1,2))]. 6692 (x * K(y,y * z)) / T(y,z) = x / R(y,z,y). [hyper(87,a,6691,a)]. 6693 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [hyper(6682,a,6692,a)]. 6694 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6693(a,1),6206(a,1,1)),flip(a)]. 6696 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [para(4576(a,1),6690(a,1,2,2))]. 6697 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(6408,a,6694,a)]. 6698 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4015(a,1),6011(a,1,1)),flip(a)]. 6699 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5654,a,6698,a)]. 6701 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(66(a,1),6699(a,1,1,2,1)),flip(a)]. 6702 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(112(a,2),6699(a,1,1))]. 6703 K(R(x,x \ 1,y),z) = K(x,z). [hyper(220,a,288,a(flip),b,6702,a)]. 6704 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(16(a,1),6702(a,1,1,2)),flip(a)]. 6705 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6702(a,2),114(a,1,1))]. 6706 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4190(a,1),6702(a,1,1,2))]. 6707 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6702(a,1),6169(a,1,1,2)),flip(a)]. 6708 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6704(a,1),49(a,1,1)),flip(a)]. 6709 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),6701(a,2,1,2))]. 6710 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5417(a,1),6039(a,1,1,1)),flip(a)]. 6711 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(220,a,4538,a(flip),b,6710,a)]. 6712 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5511,a,6711,a)]. 6713 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(654,a,6044,a)]. 6714 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6713(a,1),5767(a,1,1,1)),flip(a)]. 6715 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(220,a,5549,a(flip),b,6714,a)]. 6716 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6715(a,1),640(a,1,2,1)),flip(a)]. 6717 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(6202,a,6537,a)]. 6718 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(6173(a,1),6209(a,2,2))]. 6719 L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. [para(6537(a,1),6309(a,1))]. 6720 L(K(x,K(y,z)),u,w) != v5 | K(x,L(K(z,y),u,w) \ 1) = v5. [para(5142(a,1),6719(a,1,1,2))]. 6721 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [hyper(3246,a,6514,a)]. 6722 x * K(x * (y \ 1),1 \ y) = (y \ x) * y. [hyper(220,a,3004,a(flip),b,6514,a(flip))]. 6723 x * K(x * (y \ 1),y) = (y \ x) * y. [para(54(a,1),6722(a,1,2,2))]. 6724 K(x * (y \ 1),y) = K(y \ x,y). [hyper(20,a,234,a,b,6723,a)]. 6725 K(((x \ 1) \ y) * (x \ 1),x) = K(y,x). [hyper(220,a,4224,a(flip),b,6724,a)]. 6726 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(220,a,5151,a(flip),b,6724,a(flip)),flip(a)]. 6727 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [para(2902(a,2),6725(a,1,1))]. 6728 K((1 / x) * y,x) = K(y * (1 / x),x). [para(16(a,1),6727(a,1,1,1)),flip(a)]. 6729 K(T(x,1 / y) / y,y) = K(x / y,y). [para(849(a,1),6727(a,1,1))]. 6730 K(x * (1 / y),y) = K(y \ x,y). [hyper(220,a,4226,a(flip),b,6728,a(flip))]. 6731 K(x * (1 / y),y) = K(x / y,y). [hyper(220,a,5147,a,b,6730,a)]. 6732 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2692(a,1),6729(a,2,1))]. 6733 K(R(x,y,y \ 1),y) = K(x,y). [hyper(220,a,580,a(flip),b,6726,a)]. 6735 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6733(a,1),5193(a,1,1))]. 6736 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4875(a,1),6619(a,1,2,2)),flip(a)]. 6737 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6736(a,2),681(a,1))]. 6738 (K(x,y \ 1) * z) \ ((y * z) * K(x,T(y,z) \ 1)) = T(y,z). [para(5469(a,1),6624(a,1,1))]. 6739 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [para(6718(a,1),17(a,1,2))]. 6740 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [para(4944(a,1),656(a,2,1)),flip(a)]. 6741 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4944(a,1),805(a,1,1,1))]. 6742 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(5370,a,6740,a)]. 6743 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(151(a,1),6740(a,2,3))]. 6744 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4955,a,4945,a)]. 6745 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4945(a,1),656(a,2,1)),flip(a)]. 6746 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5370,a,6745,a)]. 6747 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6744(a,1),1656(a,1,1,2)),flip(a)]. 6748 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(755(a,1),5045(a,1,2))]. 6749 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(705(a,2),5189(a,1,2,2,1))]. 6750 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5429(a,1),5441(a,1,2))]. 6752 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(5083(a,1),5653(a,1,1,2))]. 6754 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3746(a,1),5980(a,2,2))]. 6755 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(220,a,3751,a(flip),b,6754,a(flip))]. 6756 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3083(a,1),6755(a,1,2,2)),flip(a)]. 6757 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3083(a,1),6756(a,1,1,1)),flip(a)]. 6758 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6757(a,1),66(a,1,1))]. 6759 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(120(a,1),6758(a,1,1,1,1))]. 6760 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(120(a,1),6759(a,2,2))]. 6762 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1499(a,1),6016(a,1,2))]. 6763 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6241(a,1),6236(a,1,2))]. 6764 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(6763(a,1),597(a,1))]. 6765 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [hyper(220,a,6332,a(flip),b,6330,a)]. 6766 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6330(a,2),6473(a,1))]. 6767 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6765(a,1),384(a,1,2)),flip(a)]. 6768 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6561(a,1),6765(a,1,1))]. 6770 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(6766,a,6768,a),flip(a)]. 6771 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(17(a,1),6770(a,2,1,1))]. 6772 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(63(a,1),6771(a,1,1,1,2))]. 6773 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6772(a,1),5684(a,1,1,2)),flip(a)]. 6774 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(220,a,5684,a(flip),b,6773,a)]. 6775 T(x,(y * (x / y)) \ z) = T(x,x \ z). [para(66(a,1),6774(a,1,2,1,1))]. 6776 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5842(a,1),6774(a,1,2))]. 6777 T(x,(y * (x / y)) \ z) = (x \ z) \ z. [hyper(220,a,119,a(flip),b,6775,a)]. 6778 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,(x / y) \ x). [para(6490(a,1),6776(a,1,2,2))]. 6779 T(x * y,(y * x) \ z) = ((x * y) \ z) \ z. [para(18(a,1),6777(a,1,2,1,2))]. 6780 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(220,a,6643,a,b,6779,a(flip)),flip(a)]. 6781 T(x / (y \ 1),(x / (y \ 1)) \ T(x,y)) = T(x / (y \ 1),(x / (y \ 1)) \ x). [para(3083(a,1),6778(a,1,2,2))]. 6782 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6538(a,1),6341(a,1))]. 6783 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(66(a,1),6782(a,1,1,2))]. 6784 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5242(a,1),6782(a,1,1,2))]. 6785 (x * L(y \ z,y,y \ 1)) / x = (1 / y) * (z * K(x,y \ z)). [hyper(5856,a,6483,a)]. 6786 (x * ((1 / y) * z)) / x = (1 / y) * (z * K(x,y \ z)). [para(2770(a,1),6785(a,1,1,2))]. 6787 ((1 / x) * y) * K(z,(x \ 1) * y) = (1 / x) * (y * K(z,x \ y)). [hyper(220,a,5397,a(flip),b,6786,a(flip)),flip(a)]. 6788 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(20,a,3598,a,b,6787,a),flip(a)]. 6789 (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))) = v5. [para(6250(a,1),6664(a,1,1))]. 6790 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1642(a,1),6749(a,1,2))]. 6793 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6762(a,1),429(a,1))]. 6794 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3621(a,1),4458(a,1,2,1)),flip(a)]. 6795 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(220,a,4697,a(flip),b,6794,a(flip))]. 6797 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(179(a,2),4650(a,2,1,2,1,2))]. 6798 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4915,a(flip),b,4856,a),flip(a)]. 6799 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(5333(a,1),5204(a,1,2,2))]. 6800 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(220,a,4568,a,b,6799,a),flip(a)]. 6801 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5152(a,1),5414(a,1,1))]. 6802 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(5891(a,1),5793(a,1,2,2,2))]. 6803 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3181(a,1),5817(a,1,3))]. 6804 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5811(a,1),5896(a,1,2))]. 6805 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(118(a,1),5934(a,1,1,2,2))]. 6806 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4742(a,2),6805(a,1,1))]. 6807 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(66(a,1),6063(a,1,1,1,1,2)),flip(a)]. 6808 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6261(a,1),6807(a,1,2))]. 6809 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(20,a,3609,a,b,6808,a),flip(a)]. 6810 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(63(a,1),6809(a,2,1,2))]. 6811 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(220,a,3460,a,b,6810,a(flip)),flip(a)]. 6812 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3364(a,1),6811(a,1,1,2))]. 6813 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3664,a,6812,a),flip(a)]. 6814 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(119(a,2),6813(a,1,2,2))]. 6815 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(821(a,1),6064(a,1,1))]. 6816 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1420(a,1),6815(a,1,1)),flip(a)]. 6818 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6140(a,1),6161(a,1,2)),flip(a)]. 6819 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6818(a,2),429(a,1))]. 6821 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(220,a,6124,a(flip),b,6461,a(flip)),flip(a)]. 6823 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((((x * y) \ x) \ 1) \ z) * (((x * y) \ x) \ 1). [para(16(a,1),6496(a,1,2,2))]. 6824 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4905(a,1),6558(a,1,1,2))]. 6825 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4876(a,1),6824(a,1,2,2))]. 6826 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4648(a,1),6816(a,1,2)),flip(a)]. 6827 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(220,a,4947,a,b,6826,a),flip(a)]. 6828 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(16(a,1),6827(a,2,2,1)),flip(a)]. 6829 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5242(a,1),6828(a,1,2))]. 6830 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(220,a,4628,a(flip),b,4662,a(flip))]. 6831 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3678(a,2),4664(a,1,1))]. 6832 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(4749,a,6800,a),flip(a)]. 6833 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2518,a,6832,a)]. 6834 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(220,a,5275,a,b,6832,a(flip)),flip(a)]. 6836 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6004(a,1),6834(a,1,2))]. 6837 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5314(a,1),5317(a,2,1))]. 6838 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,114,a,b,6837,a),flip(a)]. 6839 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(21,a,4017,a(flip),b,6837,a)]. 6840 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(21,a,3589,a(flip),b,6837,a)]. 6841 (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. [para(6837(a,1),5253(a,1,2))]. 6842 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(49(a,1),6839(a,1,2,1))]. 6843 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6840(a,2),5293(a,2,1,2))]. 6845 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3806(a,1),6838(a,1,1)),flip(a)]. 6846 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5510(a,1),6838(a,1,1)),flip(a)]. 6847 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6107(a,1),6838(a,1,1)),flip(a)]. 6848 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6845(a,1),4801(a,2,2))]. 6849 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6845(a,1),5758(a,1,1)),flip(a)]. 6850 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3337,a,6849,a)]. 6851 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(501,a,6849,a)]. 6852 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(372,a,6849,a)]. 6853 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(220,a,114,a(flip),b,6849,a)]. 6854 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(220,a,5285,a(flip),b,6849,a(flip))]. 6855 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6850(a,1),5781(a,1,1,2,2))]. 6857 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(204,a,6851,a)]. 6859 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3335(a,1),6851(a,1,2,1))]. 6860 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(220,a,5517,a(flip),b,6846,a(flip))]. 6861 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(443(a,1),6846(a,1,2)),flip(a)]. 6862 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),6860(a,2,2,1))]. 6863 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),6860(a,2,2,2))]. 6864 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(63(a,1),6860(a,1,1,2)),flip(a)]. 6865 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5075(a,1),6863(a,1,1))]. 6866 K(x,(y * z) / ((u \ y) * z)) = (y * z) / ((K(u,x) * y) * z). [hyper(220,a,6851,a,b,6864,a)]. 6867 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(112(a,2),6864(a,1,2))]. 6868 R(K(x,y),T(y,z),u) = K(x,y). [para(3918(a,1),6864(a,1,2)),flip(a)]. 6869 R(K(x,y),y,z) = K(x,y). [para(117(a,1),6868(a,1,2))]. 6870 K((x * y) / z,x) = K(x / (z / y),x). [hyper(220,a,6709,a(flip),b,6869,a(flip)),flip(a)]. 6871 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(220,a,6707,a(flip),b,6867,a(flip)),flip(a)]. 6872 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(220,a,4989,a(flip),b,6867,a(flip)),flip(a)]. 6873 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),6867(a,1,2,2)),flip(a)]. 6874 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(35(a,2),6867(a,1,2,2)),flip(a)]. 6875 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(139(a,1),6867(a,1,2,2)),flip(a)]. 6876 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5115(a,1),6867(a,1,2,2)),flip(a)]. 6878 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(6870(a,2),6478(a,1))]. 6879 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4242,a,6873,a),flip(a)]. 6880 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(220,a,5753,a(flip),b,6873,a(flip)),flip(a)]. 6881 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6873(a,1),45(a,2,1))]. 6882 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6873(a,1),5390(a,1,1))]. 6883 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(6871(a,1),17(a,1,2))]. 6885 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4242,a,6865,a),flip(a)]. 6886 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(220,a,5510,a,b,6865,a)]. 6887 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6865(a,1),4242(a,1))]. 6889 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1928(a,1),6885(a,1,2)),flip(a)]. 6890 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4986(a,1),6872(a,2,1))]. 6891 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(447(a,1),6842(a,1,2,1)),flip(a)]. 6892 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(18(a,1),6886(a,1,1,2,1))]. 6893 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6886(a,1),45(a,2,1))]. 6894 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(19(a,1),6892(a,2,2,1,2))]. 6895 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(220,a,5884,a(flip),b,6843,a)]. 6896 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(220,a,6890,a(flip),b,6876,a)]. 6897 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5246(a,1),6896(a,1,2)),flip(a)]. 6898 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6897(a,2),1318(a,2,2,1)),flip(a)]. 6899 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4745(a,1),6889(a,1,2,1))]. 6900 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(20,a,5932,a(flip),b,6895,a(flip)),flip(a)]. 6902 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3724,a,6900,a),flip(a)]. 6903 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6902(a,1),1334(a,1,2))]. 6904 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(220,a,241,a(flip),b,6903,a(flip)),flip(a)]. 6906 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(220,a,3510,a(flip),b,6904,a(flip)),flip(a)]. 6907 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1658,a,6906,a)]. 6908 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(160,a,6906,a,b,1330,a)]. 6910 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(25,a,6907,a)]. 6911 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6907(a,1),19(a,1,1))]. 6912 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6907(a,2),5402(a,1,2,1))]. 6913 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6907(a,1),6860(a,1,1,2))]. 6914 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4341(a,1),6911(a,1,1,1))]. 6915 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6911(a,1),4542(a,1,1,1))]. 6916 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(4893,a,6915,a)]. 6917 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(220,a,6576,a(flip),b,6899,a(flip)),flip(a)]. 6918 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1310(a,1),6917(a,1,2)),flip(a)]. 6919 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(220,a,6852,a,b,6857,a(flip)),flip(a)]. 6920 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(71,a,6868,a(flip),b,6857,a(flip)),flip(a)]. 6921 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5381(a,1),6920(a,1,1))]. 6922 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(6851(a,1),6841(a,1))]. 6923 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6879(a,1),6875(a,1,1))]. 6924 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5522,a,6894,a)]. 6925 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(220,a,5510,a(flip),b,6924,a)]. 6927 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6925(a,1),5654(a,1))]. 6928 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(220,a,6704,a(flip),b,6923,a(flip))]. 6929 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6928(a,1),5244(a,1,2,1)),flip(a)]. 6930 K(R(R(x,y,z),y * z,u),x * y) = K(x,R(x * y,z,u)). [hyper(220,a,5244,a(flip),b,6929,a)]. 6931 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5622(a,1),5624(a,1,3)),flip(a)]. 6932 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6931(a,1),23(a,1))]. 6933 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(5691(a,1),5724(a,2,2))]. 6934 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4079(a,1),5890(a,2,1,2))]. 6935 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(6934(a,2),4565(a,1))]. 6937 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(6089,a,6652,a),flip(a)]. 6938 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(17(a,1),6937(a,2,2,1))]. 6939 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(63(a,1),6937(a,1,2,1,2)),flip(a)]. 6940 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(278(a,1),6939(a,1,2,1)),flip(a)]. 6941 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(5681(a,1),6940(a,1,2,1))]. 6942 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4842(a,1),6941(a,1,2,1)),flip(a)]. 6943 (x * (y * z)) \ (x * (y * T(z,u))) = K((x * y) \ (x * (y * z)),u). [para(392(a,1),6329(a,1,2))]. 6944 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(31(a,2),6943(a,2,1))]. 6945 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(6944(a,1),17(a,1,2))]. 6946 (x * (y * z)) \ (x * (z * y)) = K(L(z,y,x),y). [para(118(a,1),6944(a,1,2,2))]. 6947 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6946(a,1),63(a,1,2))]. 6949 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6176,a,6947,a)]. 6950 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(71,a,6947,a(flip),b,6173,a(flip))]. 6951 (x * (y * z)) \ (x * (z * y)) != u | K(L(z,y,x),y) = u. [para(6947(a,1),207(a,1,1)),flip(b)]. 6954 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(6945(a,1),6169(a,1,1))]. 6955 (x * (K(y,z) * y)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(6246(a,1),6945(a,1,2,1))]. 6957 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(118(a,1),6954(a,1,2,2))]. 6958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6950(a,1),6951(a,1))]. 6959 (x * T(y,z)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(4812(a,2),6955(a,1,1,2))]. 6960 (x / T(y,z)) * (K(y,z) * T(y,u)) = x * K(y,u). [hyper(271,a,6959,a),flip(a)]. 6961 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(71,a,5153,a(flip),b,6960,a)]. 6962 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(171(a,1),6957(a,1,1,2))]. 6963 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(43(a,1),6962(a,2,2))]. 6964 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),6741(a,2,1,1))]. 6965 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4721(a,2),6830(a,1,2))]. 6966 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(216,a,6831,a),flip(a)]. 6967 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(220,a,5510,a(flip),b,6891,a)]. 6969 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(220,a,6846,a(flip),b,6967,a(flip)),flip(a)]. 6970 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5075(a,1),6969(a,1,1))]. 6971 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(220,a,6704,a(flip),b,6970,a(flip))]. 6972 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(17(a,1),6971(a,1,2,1,1)),flip(a)]. 6973 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5432(a,1),6971(a,1,2,1))]. 6974 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(220,a,6702,a(flip),b,6972,a(flip))]. 6975 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(220,a,4640,a(flip),b,6933,a)]. 6976 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(212,a,6965,a),flip(a)]. 6977 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(220,a,997,a(flip),b,4579,a(flip))]. 6978 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2522(a,1),6977(a,1,1)),flip(a)]. 6979 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(72,a,6978,a(flip),b,997,a)]. 6981 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2525(a,1),6979(a,1,1))]. 6982 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(220,a,6735,a(flip),b,6981,a(flip)),flip(a)]. 6983 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1300(a,1),6982(a,1,2,1))]. 6984 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6983(a,1),66(a,1,1)),flip(a)]. 6985 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(277,a,6984,a)]. 6986 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(78,a,6984,a)]. 6987 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6984(a,1),3168(a,1,2)),flip(a)]. 6988 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(220,a,4375,a(flip),b,6985,a(flip)),flip(a)]. 6989 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(220,a,4740,a(flip),b,6988,a)]. 6990 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(6989(a,2),6986(a,1,1))]. 6991 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(155(a,1),4617(a,1,1)),flip(a)]. 6993 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4785(a,2),6991(a,1,1,2,2)),flip(a)]. 6994 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4785(a,2),6993(a,1,2)),flip(a)]. 6995 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [hyper(220,a,6140,a(flip),b,6994,a)]. 6996 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(21,a,6206,a,b,6995,a)]. 6997 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,6092,a,b,6995,a),flip(a)]. 6998 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6996(a,1),17(a,1,2))]. 7000 (x * y) * K(x,z) = x * (y * K(x,z)). [para(16(a,1),6998(a,1,2,1)),flip(a)]. 7001 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6606,a,7000,a),flip(a)]. 7002 R(x,y,K(x,z)) = x. [hyper(4688,a,7000,a)]. 7003 L(K(x,y),z,x) = K(x,y). [hyper(388,a,7000,a)]. 7004 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(220,a,5071,a,b,7000,a),flip(a)]. 7006 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7000(a,1),6206(a,1,1))]. 7007 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7002(a,1),49(a,1,1)),flip(a)]. 7008 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7002(a,1),423(a,1,1,1)),flip(a)]. 7009 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7002(a,1),424(a,1,1,1)),flip(a)]. 7010 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7002(a,1),425(a,1,1,1)),flip(a)]. 7013 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7002(a,1),6705(a,1,1,1)),flip(a)]. 7014 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6782,a,7003,a)]. 7015 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(220,a,16,a,b,7003,a)]. 7016 a(x,y,K(x,z)) = 1. [hyper(37,a,7003,a)]. 7017 K(x,L(y,z,x)) = K(x,y). [hyper(220,a,6589,a(flip),b,7003,a(flip)),flip(a)]. 7019 K(x,y \ (x \ z)) != u | K(x,(x * y) \ z) = u. [para(7003(a,1),6782(a,1))]. 7020 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),7017(a,1,2))]. 7021 K(x,(x \ 1) \ y) = K(x,x * y). [para(402(a,1),7017(a,1,2)),flip(a)]. 7022 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7017(a,1),5486(a,1,2)),flip(a)]. 7025 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7021(a,1),6782(a,1,1))]. 7026 R(x,y,T(x,z)) = R(x,y,x). [hyper(6819,a,7007,a)]. 7027 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7007(a,1),326(a,1,1)),flip(a)]. 7030 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(120(a,1),7026(a,1,3)),flip(a)]. 7031 R(x,y,T(x,z)) * u = u * R(T(x,u),y,x). [para(7026(a,2),173(a,2,1)),flip(a)]. 7035 L(K(x,y),z,x) != u | K(x,y) = u. [para(7015(a,2),209(a,1)),flip(b)]. 7039 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6589(a,1),7035(a,1))]. 7040 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6570(a,1),7035(a,1))]. 7042 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6087(a,1),7039(a,1,2))]. 7043 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(17(a,1),7001(a,2,2,2))]. 7044 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(220,a,5732,a,b,7014,a(flip)),flip(a)]. 7045 (x / y) \ (x * K(y,z \ (y \ u))) = T(y,(y * z) \ u). [para(7014(a,1),6153(a,1,2,2))]. 7046 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(220,a,5407,a,b,6997,a)]. 7047 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4581(a,1),7046(a,1,2))]. 7048 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(6224,a,7004,a)]. 7049 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(220,a,90,a(flip),b,7004,a)]. 7050 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(160,a,7004,a(flip),b,4875,a)]. 7052 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(17(a,1),7048(a,1,1,1))]. 7053 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(155(a,1),7048(a,1,1)),flip(a)]. 7054 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7048(a,1),194(a,1,1))]. 7057 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2031(a,1),7054(a,1,1)),flip(a)]. 7058 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7054(a,1),4640(a,1,2)),flip(a)]. 7059 T(x * y,T(y,x)) = T(x * y,y). [para(4977(a,1),7054(a,1,1)),flip(a)]. 7061 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5810(a,1),7054(a,1,1)),flip(a)]. 7062 T(x / y,K(y,x)) = x / y. [hyper(4567,a,7050,a),flip(a)]. 7064 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(220,a,6429,a,b,7052,a(flip)),flip(a)]. 7065 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(331(a,1),7064(a,2,1))]. 7066 K(x,y) * T(y \ z,K(y,u)) != w | T(y,x) \ T(z,K(y,u)) = w. [para(7064(a,1),5122(a,1,2))]. 7068 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7006(a,1),6236(a,1,2))]. 7069 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7062(a,2),7030(a,1,1))]. 7070 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [hyper(5481,a,7031,a),flip(a)]. 7071 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(538,a,7031,a)]. 7072 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(220,a,4127,a(flip),b,7071,a)]. 7074 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7071(a,1),1344(a,1,1))]. 7075 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(220,a,119,a(flip),b,7072,a)]. 7076 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7047(a,1),66(a,1,1))]. 7077 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5407(a,1),7076(a,1,1))]. 7078 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4778(a,2),7077(a,1,1,2))]. 7080 (T(x,y) * (z * K(x,u))) * x = (T(x,y) * z) * T(x,u). [para(7008(a,1),6206(a,1,1))]. 7081 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(388,a,7013,a)]. 7084 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(220,a,6589,a(flip),b,7081,a(flip)),flip(a)]. 7085 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7081(a,1),43(a,2,1))]. 7086 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(48(a,1),7084(a,1,2))]. 7087 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5255(a,1),7084(a,1,2)),flip(a)]. 7088 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(220,a,6715,a(flip),b,7085,a(flip)),flip(a)]. 7090 T(K(x,y),z * x) = T(K(x,y),x * z). [para(4853(a,1),7088(a,1,2)),flip(a)]. 7091 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(4978(a,1),7088(a,1,2)),flip(a)]. 7092 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5238(a,1),7088(a,1,2)),flip(a)]. 7094 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5754(a,1),7092(a,1,2,1))]. 7095 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(78,a,7027,a)]. 7097 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(18(a,1),7044(a,1,1,1,1,2))]. 7098 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4631(a,1),7044(a,1,1))]. 7100 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(6088,a,7098,a)]. 7101 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(220,a,6806,a(flip),b,7098,a(flip)),flip(a)]. 7102 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6600,a,7100,a)]. 7103 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(220,a,5914,a,b,7100,a(flip)),flip(a)]. 7104 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(31(a,2),7100(a,1,2)),flip(a)]. 7105 (x * y) * L((x \ z) / y,y,x) = z * K(y,x \ (y \ z)). [para(7100(a,1),6423(a,2,2))]. 7106 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7103(a,1),6976(a,2,2))]. 7107 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(220,a,7043,a(flip),b,7102,a)]. 7108 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(19(a,1),7101(a,1,2,1,2)),flip(a)]. 7109 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(2773(a,1),7101(a,1,2,1)),flip(a)]. 7110 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(7101(a,1),6169(a,1,1,2))]. 7111 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(388,a,7009,a)]. 7112 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7009(a,1),6197(a,1,1))]. 7113 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6606,a,7010,a),flip(a)]. 7114 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [hyper(6213,a,7045,a),flip(a)]. 7115 T(x,(x * y) \ z) != u | T(x,y \ (x \ z)) = u. [para(7045(a,1),6213(a,1))]. 7116 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(118(a,1),7114(a,1,2,1)),flip(a)]. 7117 (T(x,y) * (z * T(x,u))) \ ((T(x,y) * z) * T(x,u)) = a(T(x,y),z * K(x,u),x). [para(7080(a,1),6236(a,1,2))]. 7118 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(16(a,1),7097(a,1,1,1,1)),flip(a)]. 7119 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(220,a,457,a(flip),b,7065,a(flip))]. 7120 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(7119(a,2),6051(a,1,2))]. 7121 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(5808(a,1),7074(a,1,2,1))]. 7122 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(212,a,7105,a),flip(a)]. 7123 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(16(a,1),7122(a,2,2,2,1))]. 7124 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(7122(a,1),6169(a,1,1))]. 7125 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(321(a,2),7124(a,1,1,2,2,1))]. 7126 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(125(a,1),7109(a,1,2)),flip(a)]. 7128 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(2772(a,1),7126(a,1,2,1)),flip(a)]. 7129 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(20,a,7122,a,b,7106,a(flip)),flip(a)]. 7131 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(7129(a,1),6169(a,1,1,2)),flip(a)]. 7132 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(220,a,6169,a(flip),b,7131,a)]. 7133 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(17(a,1),7132(a,1,1,1)),flip(a)]. 7134 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),7132(a,1,1,1))]. 7135 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6197,a,7110,a),flip(a)]. 7136 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(7110(a,1),6197(a,1))]. 7137 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(7135(a,1),5487(a,1,1,1,2))]. 7138 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(213,a,7120,a)]. 7139 L(K(x,y),z,x \ 1) = K(x,y). [hyper(388,a,7138,a)]. 7140 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(220,a,3597,a(flip),b,7139,a(flip)),flip(a)]. 7141 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5776,a,7140,a)]. 7143 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(7140(a,1),384(a,1,2)),flip(a)]. 7144 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(7141(a,1),6169(a,1,1,2)),flip(a)]. 7145 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(6480(a,1),7141(a,1,1,1)),flip(a)]. 7146 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(7145(a,1),5755(a,1,1)),flip(a)]. 7147 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(220,a,6169,a(flip),b,7144,a)]. 7148 (x * y) * K(z,x \ 1) = x * (y * K(z,x \ 1)). [para(7147(a,1),5900(a,1,2))]. 7149 L(x,y,K(x \ 1,z)) = x. [hyper(388,a,7146,a)]. 7152 L(x \ 1,y,K(x,z)) = x \ 1. [para(3041(a,1),7149(a,1,3))]. 7155 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7152(a,1),737(a,1,1)),flip(a)]. 7159 R(x,y,K(z,x \ 1)) = x. [hyper(4688,a,7148,a)]. 7164 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7042,a,6938,a),flip(a)]. 7165 K(x,K(y \ x,y) * z) = K(x,z). [para(16(a,1),7164(a,1,2)),flip(a)]. 7166 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7165(a,1,2,1,1))]. 7167 K(x,K(y,y \ x) * z) = K(x,z). [para(5238(a,1),7165(a,1,2)),flip(a)]. 7168 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5404(a,1),7165(a,1,2)),flip(a)]. 7169 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7167(a,1),4853(a,1,1))]. 7170 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7166(a,1),4824(a,1,1,2))]. 7171 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7170(a,1),6233(a,1,2)),flip(a)]. 7172 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5452,a,7169,a)]. 7173 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4103,a,7172,a)]. 7174 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7173(a,1),169(a,1,2,2)),flip(a)]. 7175 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(597,a,7068,a),flip(a)]. 7176 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(7068(a,1),597(a,1))]. 7177 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7112,a,6537,a),flip(a)]. 7178 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6537(a,1),7112(a,1))]. 7179 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(220,a,6589,a(flip),b,7177,a(flip)),flip(a)]. 7180 L(K(x,y),z,y) = K(x,y). [para(378(a,1),7177(a,1,3))]. 7181 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7177(a,1),103(a,1,2))]. 7182 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6766,a,7180,a)]. 7183 K(x,L(y,z,y)) = K(x,y). [hyper(220,a,6589,a(flip),b,7180,a(flip)),flip(a)]. 7184 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7180(a,1),103(a,1,2))]. 7185 (x / y) * (y * K(z,x / y)) = x * K(z,x / y). [para(7180(a,1),385(a,1,2)),flip(a)]. 7186 (x * y) * T(K(z,x),u) = x * (y * T(K(z,x),u)). [para(7180(a,1),392(a,1,2,1))]. 7187 (x \ y) * T(K(z,x),y) = x \ (K(z,x) * y). [para(7180(a,1),639(a,1,2,1)),flip(a)]. 7192 K(x,T(y / z,y)) = K(x,z \ y). [para(4630(a,1),7183(a,1,2))]. 7193 T(x,L(y,z,y)) = x * K(x,y). [para(7183(a,1),4801(a,2,2))]. 7194 K(x,R(y,z,y)) = K(x,y). [para(6480(a,1),7183(a,1,2)),flip(a)]. 7195 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(220,a,5161,a,b,7194,a)]. 7196 R(K(x,y),z,y) = K(x,y). [hyper(220,a,6890,a(flip),b,7194,a(flip)),flip(a)]. 7197 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7194(a,1,2))]. 7198 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7194(a,1),5480(a,1,2)),flip(a)]. 7199 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(7075(a,1),7194(a,1,2))]. 7200 K((x * y) / z,y) = K(x / (z / y),y). [hyper(220,a,6709,a(flip),b,7196,a(flip)),flip(a)]. 7201 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7196(a,1),114(a,1,1)),flip(a)]. 7202 T(x,L(y,z,y)) = T(x,y). [hyper(220,a,4801,a,b,7193,a)]. 7203 T(x,L(y,z,y)) != u | T(x,y) = u. [para(7193(a,2),4804(a,1))]. 7204 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(5661,a,7202,a),flip(a)]. 7209 T(x,T(y / z,y)) = T(x,z \ y). [para(4630(a,1),7202(a,1,2))]. 7210 T(x,R(y,z,y)) = T(x,y). [para(6480(a,1),7202(a,1,2)),flip(a)]. 7211 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(5661,a,7210,a),flip(a)]. 7212 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7210(a,1),118(a,1,2))]. 7213 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7210(a,1,2))]. 7214 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7075(a,1),7210(a,1,2))]. 7215 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7195(a,2),5163(a,1))]. 7217 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(220,a,6531,a(flip),b,7197,a(flip)),flip(a)]. 7218 K(x,T(y,y * z)) = K(x,T(y,z)). [para(16(a,1),7197(a,1,2,2)),flip(a)]. 7219 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4031(a,1),7197(a,1,2))]. 7220 K(x,T(y,z / y)) = K(x,T(y,z)). [para(4088(a,2),7197(a,1,2))]. 7221 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(220,a,564,a,b,7199,a(flip)),flip(a)]. 7222 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4109(a,2),7199(a,1,2)),flip(a)]. 7223 K(x,T(y \ 1,z * y)) = K(x,T(y \ 1,z)). [para(6027(a,2),7199(a,1,2))]. 7224 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(6179(a,1),7199(a,1,2)),flip(a)]. 7225 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(220,a,4299,a(flip),b,7209,a(flip)),flip(a)]. 7226 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(220,a,7061,a(flip),b,7213,a(flip))]. 7227 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(220,a,7057,a(flip),b,7213,a(flip))]. 7228 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(5661,a,7214,a),flip(a)]. 7229 K(x,T(y,y \ 1)) != z | K(x,y) = z. [para(1442(a,1),7215(a,1,2))]. 7230 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1460(a,1),7215(a,1,2))]. 7231 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7215(a,1,2))]. 7232 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7217(a,1),17(a,1,2))]. 7233 L(K(x,T(y,z)),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(7217(a,1),105(a,1,1))]. 7234 (K(x,y) \ z) \ z = K(x,T(y,z)). [para(5242(a,2),7217(a,1,1))]. 7235 K(x,T(y,K(x,z))) = K(x,y). [hyper(20,a,6194,a,b,7232,a)]. 7236 (K(x,y) * z) * u != z | K(y,T(x,z)) = u. [para(7232(a,1),22(a,1)),flip(a)]. 7237 K(x,T(y,K(z,x))) = K(x,y). [para(5806(a,1),7235(a,1,2)),flip(a)]. 7238 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7053(a,1),7237(a,1,2))]. 7239 K(x,K(y,T(z,x))) = K(x,K(y,z)). [para(7234(a,1),5076(a,1,2))]. 7240 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4941(a,1),7238(a,1,2,2))]. 7242 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(4216(a,1),7229(a,1,2))]. 7244 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2291(a,1),7230(a,1,2))]. 7246 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(220,a,6505,a,b,7182,a(flip)),flip(a)]. 7247 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(220,a,6501,a,b,7182,a(flip)),flip(a)]. 7248 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(220,a,4916,a,b,7182,a(flip)),flip(a)]. 7249 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),7182(a,1,1,1)),flip(a)]. 7250 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1244(a,1),7182(a,1,1,1)),flip(a)]. 7251 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7182(a,1),6283(a,1,2))]. 7252 T((x * y) / T(x,z),x) = y * K(z,x). [hyper(5696,a,7184,a)]. 7253 R(x,y,K(z,x)) = x. [hyper(4688,a,7184,a)]. 7254 x * (K(y,z) * T(z,x)) = z * (x * K(y,z)). [hyper(220,a,6452,a,b,7184,a(flip)),flip(a)]. 7257 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7253(a,1),49(a,1,1)),flip(a)]. 7259 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7253(a,1),423(a,1,1,1)),flip(a)]. 7262 R(x,y,L(K(z,x),u,w)) = x. [para(5765(a,1),7253(a,1,3))]. 7263 R(x,y,K(z,L(x,u,w))) = x. [para(6589(a,1),7262(a,1,3))]. 7264 R(R(x,y,z),u,K(w,L(x,v5,v6))) = R(x,y,z). [para(7263(a,1),49(a,1,1)),flip(a)]. 7265 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7257(a,1),709(a,1,1,2)),flip(a)]. 7268 L(x,y,K(z,x)) = x. [hyper(388,a,7201,a)]. 7270 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7201(a,1),5065(a,1,2,2))]. 7272 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7268(a,1),48(a,1,1)),flip(a)]. 7277 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * T(L(y,u,w),v5)). [para(7272(a,1),392(a,1,2,1))]. 7278 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7204(a,1),118(a,1,2)),flip(a)]. 7279 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7211(a,1),118(a,1,2)),flip(a)]. 7280 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [para(7211(a,1),155(a,1,1,2))]. 7281 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7212(a,1,1))]. 7282 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(120(a,1),7212(a,1,2))]. 7284 (x * K(y,T(z,u \ z))) \ x = K(T(z,u \ 1),y). [para(7219(a,1),6169(a,1,1,2))]. 7285 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(7246(a,1),5763(a,1,1))]. 7286 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7246(a,1),5487(a,1,1,1,2))]. 7287 K((x \ y) \ z,x) = K(y \ (x * z),x). [para(16(a,1),7249(a,1,1,2))]. 7288 T(x / T(y,z),y) = (y \ x) * K(z,y). [para(17(a,1),7252(a,1,1,1))]. 7289 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7287(a,1),5487(a,1,1,1,2))]. 7290 L(K(x,y),z,y) != u | K(x,y) = u. [para(378(a,1),7178(a,1,3))]. 7294 K(x,L(y,z,y)) != u | K(x,y) = u. [para(6589(a,1),7290(a,1))]. 7295 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6765(a,1),7290(a,1))]. 7296 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4630(a,1),7294(a,1,2))]. 7297 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(4031(a,1),7231(a,1,2))]. 7299 (x \ y) * T(K(z,x),y) = T(x,z) \ y. [hyper(220,a,5115,a(flip),b,7187,a)]. 7300 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(220,a,5559,a,b,7198,a),flip(a)]. 7301 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(220,a,2865,a(flip),b,7198,a)]. 7302 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5756(a,1),7198(a,2,2))]. 7303 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6562,a,7247,a)]. 7304 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7248(a,1),6966(a,2,1))]. 7305 T(x,y * K(z,x)) = T(x,y). [hyper(160,a,7254,a(flip),b,4769,a)]. 7307 T(x,y \ T(z,x)) = T(x,y \ z). [para(1267(a,1),7305(a,1,2))]. 7308 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(7305(a,1),4562(a,2,1,2))]. 7309 T(x,y * K(x,z)) = T(x,y). [para(6172(a,1),7305(a,1,2)),flip(a)]. 7310 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6193(a,1),7305(a,1,2))]. 7311 T(x,K(y,x) * z) = T(x,z). [para(6530(a,1),7305(a,1,2))]. 7312 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7309(a,1),172(a,1,2,1))]. 7313 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7309(a,1),4087(a,1,2,1))]. 7314 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(7309(a,1),4956(a,1,2))]. 7315 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5901(a,1),7309(a,1,2,2))]. 7316 T(x,y * (z * x)) = T(x,y * (x * z)). [para(6949(a,1),7309(a,1,2)),flip(a)]. 7317 T(T(x,y),K(z,x) * u) = T(T(x,u),y). [para(7311(a,1),41(a,1,1)),flip(a)]. 7318 (K(x,y) * z) * L(T(y,z),u,w) != v5 | L(y,u,w) * (K(x,y) * z) = v5. [para(7311(a,1),315(a,1,2,1))]. 7319 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7311(a,1),4309(a,1,3))]. 7320 T(x,T(x,y) \ z) = T(x,x \ z). [para(5114(a,1),7311(a,1,2))]. 7321 T(x,K(x,y) * z) = T(x,z). [para(5238(a,1),7311(a,1,2)),flip(a)]. 7322 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5374(a,1),7311(a,1,2))]. 7324 K(K(x,y) * z,L(y,u,w)) = (w * (u * T(y,z))) \ (w * (u * y)). [para(7311(a,1),6954(a,1,1,2,2)),flip(a)]. 7325 K(x,K(x,y) * z) = x \ T(x,z). [hyper(71,a,7321,a(flip),b,4801,a(flip)),flip(a)]. 7326 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7321(a,1),5362(a,1,1))]. 7328 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(220,a,119,a(flip),b,7320,a)]. 7329 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(220,a,4297,a,b,7320,a(flip)),flip(a)]. 7330 K(x,T(y,y \ z)) = T(K(x,y),z). [para(7320(a,1),6400(a,1,2))]. 7331 K(x,K(x,y) * z) = K(x,z). [hyper(220,a,4777,a,b,7325,a)]. 7332 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7325(a,2),4869(a,1))]. 7333 K(x,y * x) = K(x,x * y). [para(4853(a,1),7331(a,1,2)),flip(a)]. 7334 K(x,x * (y / x)) = K(x,y). [para(4822(a,1),7331(a,1,2))]. 7335 K(x,T(x,y) * z) = K(x,x * z). [para(4875(a,1),7331(a,1,2))]. 7337 K(x,K(y,x) * z) = K(x,z). [para(5238(a,1),7331(a,1,2)),flip(a)]. 7338 K(x,K(y,x) \ z) = K(x,z). [para(5242(a,2),7331(a,1,2))]. 7339 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(94(a,1),7333(a,2,2))]. 7340 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4537(a,2),7334(a,1,2))]. 7341 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5754(a,1),7337(a,1,2,1))]. 7342 T(x / y,(y \ x) \ z) = ((x / y) \ z) \ z. [para(120(a,1),7328(a,1,2,1))]. 7344 x * ((T(y,x) \ z) \ z) = ((y \ z) \ z) * x. [para(7328(a,1),347(a,1,1)),flip(a)]. 7345 K(x,T(y,z)) = T(K(x,y),z). [hyper(7231,a,7330,a)]. 7347 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7330(a,1),7231(a,1))]. 7349 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(220,a,6893,a,b,7345,a),flip(a)]. 7350 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(220,a,6881,a,b,7345,a),flip(a)]. 7351 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(220,a,6584,a,b,7345,a),flip(a)]. 7352 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(220,a,6336,a,b,7345,a),flip(a)]. 7353 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(220,a,5628,a,b,7345,a),flip(a)]. 7354 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(220,a,5627,a,b,7345,a),flip(a)]. 7355 K(1 / T(x,y),z) = K(1 / x,T(z,y)). [hyper(220,a,5552,a,b,7345,a),flip(a)]. 7356 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(220,a,5547,a,b,7345,a),flip(a)]. 7357 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(220,a,5467,a,b,7345,a),flip(a)]. 7358 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(220,a,7092,a(flip),b,7345,a)]. 7359 K(x \ K(x,y),T(z,y)) = K(x \ 1,z). [hyper(220,a,6553,a(flip),b,7345,a)]. 7360 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(220,a,6371,a(flip),b,7345,a)]. 7361 K(x / y,T(z,x)) = K(y \ x,z). [hyper(220,a,6343,a(flip),b,7345,a)]. 7362 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(220,a,3076,a(flip),b,7345,a)]. 7363 K(x,T(y,T(x,z))) = K(x,y). [hyper(220,a,3060,a(flip),b,7345,a)]. 7364 K(x,T(y,z)) * u = T(K(x,y),z) * u. [hyper(25,a,7345,a)]. 7365 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(24,a,7345,a)]. 7366 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(220,a,7222,a(flip),b,7345,a(flip))]. 7367 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(41(a,1),7345(a,1,2))]. 7368 x * K(y,T(z,x)) = K(y,z) * x. [para(7345(a,2),118(a,1,2))]. 7369 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7345(a,2),172(a,1,2,1))]. 7370 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(7345(a,2),341(a,1,1,2))]. 7372 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7345(a,2),526(a,1,2,2))]. 7373 (x * (K(y,z) * u)) * a(x,u,K(y,T(z,u))) = (x * u) * T(K(y,z),u). [para(7345(a,2),596(a,1,2,3))]. 7374 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7345(a,2),599(a,1,1))]. 7375 L(K(x,T(y,z)),z,z \ 1) = (1 / z) * (K(x,y) * z). [para(7345(a,2),2774(a,1,1))]. 7376 x * T(K(x,y),z) = T(x,T(y,z)). [para(7345(a,1),4801(a,2,2)),flip(a)]. 7377 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7345(a,1),4804(a,1,2))]. 7379 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7345(a,2),5625(a,1,2))]. 7381 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7345(a,2),5590(a,1,1))]. 7382 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7345(a,2),5629(a,2,1))]. 7383 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T(z \ y,u) \ 1). [para(7345(a,2),5992(a,1,1))]. 7384 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6587(a,1),7345(a,2,1))]. 7385 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7345(a,2),6640(a,2,2))]. 7387 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(7345(a,2),7299(a,1,2))]. 7388 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(120(a,1),7362(a,1,2)),flip(a)]. 7389 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(7362(a,1),7296(a,1))]. 7390 a(x,y,K(z,T(y,u))) = 1. [para(7352(a,1),6105(a,1,3))]. 7391 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(36,a,7390,a)]. 7393 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7361(a,1),4026(a,1,3))]. 7396 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7361(a,1),6701(a,1,1)),flip(a)]. 7398 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6174,a,7368,a)]. 7399 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(24,a,7368,a)]. 7400 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(20,a,5617,a(flip),b,7368,a)]. 7401 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5249,a,7368,a(flip))]. 7402 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7368(a,1),22(a,1))]. 7403 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(z,u))). [para(7368(a,1),27(a,2,1,2)),flip(a)]. 7404 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(41(a,1),7368(a,1,2,2))]. 7405 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(43(a,2),7368(a,1,2,2))]. 7406 K(x,y / z) * z = z * K(x,z \ y). [para(120(a,1),7368(a,1,2,2)),flip(a)]. 7407 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3067(a,1),7368(a,1,2,2))]. 7408 K(x * y,x) * y = y * K(x * y,x). [para(5078(a,1),7368(a,1,2)),flip(a)]. 7410 (x * y) * K(z,T(x \ 1,y * x)) = K(z,x \ 1) * (x * y). [para(6026(a,2),7368(a,1,2,2))]. 7411 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(220,a,7053,a,b,7376,a),flip(a)]. 7412 K(T(x,y),z) = K(x,T(z,y)). [hyper(7236,a,7398,a),flip(a)]. 7413 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(5294,a,7412,a),flip(a)]. 7414 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5273,a,7412,a)]. 7415 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(220,a,7352,a,b,7412,a),flip(a)]. 7417 K(T(x,y),z) = T(K(x,z),y). [hyper(220,a,7345,a(flip),b,7412,a)]. 7418 K(T(x,y),y / z) = K(x,z \ y). [hyper(220,a,7192,a(flip),b,7412,a)]. 7419 K(T(x,y \ 1),y) = K(x,y). [hyper(220,a,3807,a(flip),b,7412,a)]. 7420 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,7412,a)]. 7421 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(220,a,7360,a,b,7412,a(flip)),flip(a)]. 7422 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(220,a,6371,a,b,7412,a(flip)),flip(a)]. 7423 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(220,a,6169,a,b,7412,a(flip)),flip(a)]. 7424 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(220,a,5595,a,b,7412,a(flip)),flip(a)]. 7425 T(x,y) / T(x * K(z,x),y) = K(x,T(z,y)). [hyper(220,a,5369,a,b,7412,a(flip)),flip(a)]. 7426 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(71,a,7412,a(flip),b,4828,a(flip)),flip(a)]. 7427 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(41(a,1),7412(a,2,2))]. 7428 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(43(a,2),7412(a,1,1))]. 7429 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),7412(a,1,1))]. 7430 K(x / y,T(z,y)) = K(y \ x,z). [para(120(a,1),7412(a,1,1)),flip(a)]. 7431 K(T(x,y),z / y) = K(x,y \ z). [para(120(a,1),7412(a,2,2))]. 7432 K((x * y) / x,T(z,x)) = K(y,z). [para(154(a,1),7412(a,1,1)),flip(a)]. 7433 K((x \ y) \ y,z) = K(x,T(z,x \ y)). [para(119(a,1),7412(a,1,1))]. 7434 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(131(a,1),7412(a,1,1)),flip(a)]. 7435 K(T(x,L(y,z,u)),y) = K(x,y). [para(248(a,1),7412(a,2,2))]. 7436 K(T(x,R(y,z,u)),y) = K(x,y). [para(546(a,1),7412(a,2,2))]. 7437 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(244(a,1),7412(a,1,1))]. 7438 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(1074(a,1),7412(a,2,2))]. 7439 K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u). [para(4557(a,1),7412(a,1,1)),flip(a)]. 7440 T(x,T(y,z)) * K(y,T(x,z)) = x. [para(7412(a,1),4835(a,1,2))]. 7442 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7412(a,1),5114(a,1,1))]. 7443 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7412(a,1),5242(a,1,1))]. 7444 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7412(a,1),5252(a,1,1))]. 7445 K(x,T(y,z)) * u != w | K(y,T(x,z)) \ u = w. [para(7412(a,1),5297(a,1,1))]. 7446 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7412(a,1),5684(a,1,1,2))]. 7448 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7412(a,1),5353(a,2,1))]. 7449 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7412(a,1),6173(a,1,2))]. 7450 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7412(a,1),6174(a,1,2))]. 7451 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7412(a,1),6176(a,1,2))]. 7452 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7412(a,1),6197(a,1,1,2))]. 7453 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7412(a,1),6671(a,1,2)),flip(a)]. 7454 T(x / T(y,T(z,u)),y) = (y \ x) * K(z,T(y,u)). [para(7412(a,1),7288(a,2,2))]. 7455 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(7417(a,2),6477(a,1))]. 7456 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7417(a,2),7235(a,1,2))]. 7457 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7414(a,1),5155(a,1))]. 7458 K(T(x,x \ y),z) = K(T(x,y),z). [para(119(a,2),7415(a,1,1))]. 7459 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(607(a,1),7415(a,1,1,1)),flip(a)]. 7460 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6179(a,1),7415(a,1,1)),flip(a)]. 7461 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(703(a,1),7418(a,1,1))]. 7462 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7418(a,1),4812(a,2,1)),flip(a)]. 7465 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(17(a,1),7421(a,1,2,2)),flip(a)]. 7466 K(x,T(x * y,y)) = K(x,x * y). [para(117(a,1),7421(a,1,2)),flip(a)]. 7467 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(120(a,1),7421(a,1,2)),flip(a)]. 7469 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(220,a,7090,a,b,7422,a(flip)),flip(a)]. 7470 T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). [para(7422(a,1),43(a,1,1)),flip(a)]. 7472 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(5523,a,7430,a),flip(a)]. 7473 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(220,a,3817,a(flip),b,7430,a(flip)),flip(a)]. 7474 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(131(a,1),7430(a,1,2))]. 7475 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(7430(a,1),4801(a,2,2)),flip(a)]. 7476 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7430(a,1),4812(a,2,1)),flip(a)]. 7477 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7430(a,1),4813(a,1,1))]. 7478 K(x / y,z) * y = y * K(y \ x,z). [para(7430(a,1),7368(a,1,2)),flip(a)]. 7480 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(131(a,1),7431(a,1,1))]. 7481 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(703(a,1),7431(a,1,1))]. 7482 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7431(a,1),5700(a,1,2))]. 7483 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7432(a,1),5882(a,1,2))]. 7484 K((x * y) / x,z) * x = x * K(y,z). [para(7432(a,1),7368(a,1,2)),flip(a)]. 7485 T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. [para(7440(a,1),22(a,1)),flip(a)]. 7486 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(45(a,2),7465(a,1,2))]. 7487 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7465(a,1),6704(a,1,1))]. 7488 T(K(x,y),z * x) = T(K(x,y),z). [hyper(220,a,7345,a(flip),b,7469,a)]. 7489 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(220,a,7345,a,b,7469,a(flip)),flip(a)]. 7490 K(x,T(y,z / x)) = T(K(x,y),z). [para(19(a,1),7469(a,1,2)),flip(a)]. 7491 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7469(a,1),118(a,1,2))]. 7493 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7483(a,1),453(a,1,1))]. 7494 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(220,a,7091,a(flip),b,7488,a(flip))]. 7495 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(94(a,1),7489(a,1,2,2))]. 7496 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(7490(a,1),4801(a,2,2))]. 7498 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(5596(a,1),7332(a,1,2))]. 7499 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6873(a,1),7341(a,1,2,1))]. 7500 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5467(a,2),7347(a,1))]. 7501 K(T(x,y) \ 1,z) != u | K(x \ 1,T(z,y)) = u. [para(5547(a,2),7347(a,1))]. 7502 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(6336(a,2),7347(a,1))]. 7503 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7417(a,2),7347(a,1))]. 7504 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7345(a,1),7457(a,1))]. 7506 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4853(a,1),7499(a,1,2)),flip(a)]. 7507 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5114(a,1),7499(a,1,2))]. 7508 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5374(a,1),7499(a,1,2))]. 7509 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(43(a,2),7503(a,1,1))]. 7510 T(x,y) / T(x * K(z,x),y) != u | K(x,T(z,y)) = u. [para(5369(a,2),7503(a,1))]. 7511 T(K(x,y),x * z) != u | K(x,T(y,z)) = u. [para(6371(a,2),7503(a,1))]. 7512 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6633(a,2),7503(a,1))]. 7513 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7360(a,2),7503(a,1))]. 7514 (x * y) / T(T(x,y),z) = K(z,x) * y. [para(7317(a,1),5239(a,1,2))]. 7515 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(18(a,1),7340(a,1,2,1,2)),flip(a)]. 7516 (K(x,y \ 1) * z) \ ((y * z) * K(x,T(y \ 1,z))) = T(y,z). [para(7357(a,1),6738(a,1,2,2))]. 7517 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(220,a,7345,a,b,7358,a)]. 7518 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7345(a,1),7367(a,2,1))]. 7519 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(7218(a,1),7379(a,1,2))]. 7522 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5510(a,2),7406(a,1,1))]. 7523 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5516(a,1),7406(a,1,1)),flip(a)]. 7524 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(5348(a,1),7408(a,1,1)),flip(a)]. 7525 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5474(a,2),7411(a,2,2))]. 7526 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7426(a,1),1548(a,1,2))]. 7527 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7457,a,7427,a)]. 7528 K(x,T(y,z)) * u != w | K(T(x,z),y) * u = w. [para(7443(a,1),5252(a,1))]. 7529 K(x,y * K(z,x)) = K(x,y). [para(7484(a,1),7337(a,1,2))]. 7530 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7484(a,1),7499(a,1,2))]. 7531 K(T(x,y) \ 1,z * K(u,(x * y) \ y)) = K((x * y) \ y,z). [hyper(6416,a,7529,a)]. 7532 K(x,y / K(z,x)) = K(x,y). [para(19(a,1),7529(a,1,2)),flip(a)]. 7533 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(275(a,1),7529(a,1,2))]. 7534 K(x,y * K(x,z)) = K(x,y). [para(6172(a,1),7529(a,1,2)),flip(a)]. 7535 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6193(a,1),7529(a,1,2))]. 7536 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7529(a,1),6869(a,1,1))]. 7537 K(x,K(x,y) * z) = K(x,z * K(x,u)). [hyper(220,a,7331,a,b,7534,a),flip(a)]. 7539 K(x,K(y,x * K(y,z))) = 1. [para(7534(a,2),2861(a,1,2))]. 7541 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6068(a,1),7534(a,1,2)),flip(a)]. 7542 K(x,y * (z * K(x,u))) = K(x,y * z). [para(6590(a,1),7534(a,1,2))]. 7543 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7534(a,1),6451(a,1,1)),flip(a)]. 7544 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6193(a,1),7530(a,1,2))]. 7545 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7202(a,1),7514(a,1,2,1))]. 7548 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7484(a,1),7517(a,1,2,2))]. 7549 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7537(a,1),7332(a,1))]. 7551 L(K(x,y),y,z) != u | K(x,y) = u. [para(6103(a,2),7549(a,1))]. 7552 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5238(a,1),7541(a,1,2,1)),flip(a)]. 7553 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5901(a,1),7542(a,1,2,2,2))]. 7554 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6172(a,1),7542(a,1,2,2)),flip(a)]. 7555 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7368(a,1),7542(a,1,2,2))]. 7556 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6172(a,1),7548(a,1,2,2)),flip(a)]. 7557 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(235(a,1),7554(a,1,2,2))]. 7558 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5765(a,1),7554(a,1,2,2,2))]. 7559 K(x,T(y,z * (u * K(x,w)))) = K(x,T(y,z * u)). [para(6590(a,1),7556(a,1,2,2))]. 7560 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6663(a,1),7556(a,1,2,2)),flip(a)]. 7561 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(6949(a,1),7556(a,1,2,2)),flip(a)]. 7562 T(x,T(y,z) \ 1) != u | T(x,T(y \ 1,z)) = u. [para(5472(a,1),7377(a,1))]. 7563 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7411(a,2),7377(a,1))]. 7564 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7496(a,2),7377(a,1))]. 7566 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7433(a,1),7502(a,1))]. 7569 (x / R(y,z,y)) * y != u | y * (R(y,z,y) \ x) = u. [para(7280(a,1),214(a,1,1)),flip(b)]. 7570 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(47(a,1),7282(a,1,1))]. 7571 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7301(a,2),6521(a,1,2))]. 7572 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(220,a,4876,a(flip),b,7314,a)]. 7575 (x * (((x \ y) \ z) \ z)) / x = ((y / x) \ z) \ z. [hyper(220,a,582,a(flip),b,7342,a(flip)),flip(a)]. 7576 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [hyper(161,a,7344,a),flip(a)]. 7581 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(7576(a,1),63(a,1,2))]. 7582 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(66(a,1),7576(a,2,1,1))]. 7584 x / T((y \ x) \ x,z) != u | T(y,z) \ x = u. [para(7576(a,1),274(a,1,2)),flip(b)]. 7586 x / T(y \ x,z) = T(x / y,z) \ x. [para(66(a,1),7581(a,1,2,1,1))]. 7587 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(119(a,2),7581(a,1,2,1))]. 7588 T(x / (x / y),z) \ x = x / T(y,z). [para(140(a,1),7581(a,1,2,1)),flip(a)]. 7589 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7582(a,1),7199(a,1,2)),flip(a)]. 7590 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7586,a),flip(a)]. 7591 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(7586(a,1),6712(a,1,2))]. 7593 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(4205(a,1),7588(a,1,1,1))]. 7594 L(x,y / x,x) \ y = y / T(x,y). [para(4647(a,1),7588(a,1,1))]. 7596 x / (y * K(z,y \ x)) = T(x / y,z). [para(7590(a,1),63(a,1,2))]. 7597 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(16(a,1),7596(a,1,2,2,2))]. 7599 T(x,y) * K(z,T(T(x,u),w)) = K(z,T(T(x,u),w)) * T(x,y). [para(189(a,1),7404(a,1,2,2,1))]. 7600 T(x,y) / T(x * K(z,T(x,u)),y) = K(x,T(T(z,u),y)). [para(7412(a,1),7425(a,1,2,1,2))]. 7601 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(131(a,1),7429(a,2,2))]. 7602 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1660(a,1),7429(a,1,1)),flip(a)]. 7603 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2857(a,1),7429(a,2,2))]. 7604 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3942(a,1),7462(a,1,2))]. 7605 K(x,T(y / (x * z),z)) != u | K(x,z \ (x \ y)) = u. [para(7467(a,2),7040(a,1))]. 7606 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(130(a,1),7475(a,2,2))]. 7607 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6575(a,1),7476(a,1,1))]. 7608 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6142,a,7491,a),flip(a)]. 7610 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(7608(a,2),22(a,1))]. 7611 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(220,a,7379,a(flip),b,7519,a(flip))]. 7612 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(220,a,6519,a,b,7611,a(flip)),flip(a)]. 7613 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(17(a,1),7611(a,1,1)),flip(a)]. 7615 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7402,a,7522,a)]. 7616 K(x,(y / z) \ 1) * y != y * u | K(x,y \ z) = u. [para(7522(a,2),22(a,1))]. 7617 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(63(a,1),7615(a,1,2,1,1))]. 7618 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(20,a,6324,a,b,7523,a),flip(a)]. 7619 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(220,a,4898,a(flip),b,7597,a)]. 7620 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6359(a,1),7603(a,1,1,1)),flip(a)]. 7621 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5500(a,2),7295(a,1))]. 7622 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(6505(a,2),7295(a,1))]. 7623 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5242(a,1),7444(a,1))]. 7624 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6173(a,1),7451(a,1))]. 7625 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(7001(a,1),7498(a,1))]. 7626 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(220,a,6873,a(flip),b,7536,a(flip)),flip(a)]. 7627 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(220,a,7529,a(flip),b,7626,a)]. 7628 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7626(a,1),7215(a,1))]. 7630 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),7627(a,1,2))]. 7632 K(x \ 1,T(y * K(z,u \ (x \ u)),u)) != w | K(u \ (x \ u),y) = w. [para(7472(a,1),7628(a,1))]. 7633 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(6539(a,1),7553(a,1,2,2)),flip(a)]. 7634 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(7562,a,6493,a)]. 7636 x / T((y \ x) * y,z) != u | T((y \ x) * y,z) \ x = u. [para(4997(a,1),7584(a,1,2,1))]. 7637 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7417(a,1),7623(a,1,1))]. 7638 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7417(a,1),7624(a,1,2))]. 7639 x * K(y,x / z) != u * (z * K(y,x / z)) | x / z = u. [para(7185(a,1),23(a,1))]. 7640 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [hyper(7638,a,7186,a)]. 7641 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(7186(a,1),5165(a,1,2))]. 7642 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(220,a,4631,a,b,7251,a),flip(a)]. 7643 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(25,a,7251,a)]. 7645 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7251(a,1),6197(a,1,1))]. 7647 K(T(x,y \ 1),z) = K(x,T(z,y \ x)). [hyper(7452,a,7284,a),flip(a)]. 7648 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [hyper(7503,a,7647,a)]. 7649 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(16(a,1),7648(a,2,2,2))]. 7650 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,7308,a)]. 7651 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),7350(a,2,2))]. 7653 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2774(a,1),7405(a,1,2,2))]. 7654 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(220,a,7387,a(flip),b,7454,a)]. 7655 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [hyper(6404,a,7470,a),flip(a)]. 7656 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(220,a,6603,a,b,7473,a),flip(a)]. 7657 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(45(a,2),7486(a,2,2))]. 7658 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(45(a,2),7507(a,1,2,1))]. 7659 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(901(a,1),7507(a,1,2)),flip(a)]. 7662 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7232(a,1),7559(a,1,2,2,2)),flip(a)]. 7663 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(98(a,1),7560(a,1,2,2,1))]. 7667 (x * ((y \ z) \ z)) / x = (((x * y) / x) \ z) \ z. [para(16(a,1),7575(a,1,1,2,1,1))]. 7668 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(220,a,6550,a,b,7591,a),flip(a)]. 7669 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7591(a,2),6829(a,1,1))]. 7670 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7593(a,1),6803(a,1,3,2))]. 7671 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6530(a,1),7633(a,1,2,2,2))]. 7672 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [hyper(521,a,7640,a)]. 7673 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(7345(a,2),7640(a,2,2,2))]. 7674 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7642(a,1,1,1,2)),flip(a)]. 7675 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1267(a,1),7650(a,1,2))]. 7676 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7345(a,2),7651(a,1,1))]. 7677 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(16(a,1),7657(a,1,2,1,2)),flip(a)]. 7678 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(1338,a,7672,a),flip(a)]. 7679 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(7673(a,1),23(a,1)),flip(a)]. 7680 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),7676(a,1,2)),flip(a)]. 7681 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5183,a,7677,a)]. 7682 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(220,a,288,a(flip),b,7680,a)]. 7683 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(220,a,7345,a(flip),b,7682,a)]. 7685 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7040,a,7681,a)]. 7686 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(220,a,7118,a(flip),b,7685,a(flip)),flip(a)]. 7687 K(L((x \ y) * z,u,w) \ 1,z) = L(K(y \ (z \ x),z),u,w). [para(7133(a,1),7285(a,1,1)),flip(a)]. 7688 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(220,a,7658,a(flip),b,7481,a)]. 7690 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(220,a,6704,a(flip),b,7487,a(flip))]. 7691 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(7690(a,1),5153(a,1,1))]. 7692 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(7524(a,1),5737(a,1,2))]. 7693 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(220,a,4801,a,b,7525,a)]. 7695 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(7693(a,1),7563(a,1))]. 7696 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(16(a,1),7656(a,2,2))]. 7697 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5154,a,7691,a),flip(a)]. 7698 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7345(a,2),7351(a,1,1))]. 7699 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(220,a,7357,a(flip),b,7383,a)]. 7700 L(K(x,T(y \ z,u)),y \ z,y) != w | K(x,T((z \ y) \ 1,u)) = w. [para(7383(a,2),7500(a,1))]. 7701 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,y)) * z. [para(7421(a,1),7448(a,2,1))]. 7702 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(117(a,1),7701(a,2,1,2))]. 7703 T(x,x * y) * T(z,L(x,y,x)) = K(x,y) * (z * L(x,y,x)). [para(35(a,2),7702(a,1,2))]. 7704 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(7702(a,1),4857(a,1,2))]. 7706 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(7602(a,2),7503(a,1))]. 7707 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(7636,a,6836,a)]. 7708 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(5933(a,1),7645(a,1))]. 7709 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6568(a,2),7708(a,1))]. 7710 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5323(a,1),7653(a,1,2))]. 7711 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6112,a,7698,a)]. 7712 K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(7698(a,1),6112(a,1))]. 7713 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(220,a,7391,a(flip),b,7699,a(flip))]. 7720 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(6517,a,7304,a)]. 7721 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7304(a,1),5795(a,1,2)),flip(a)]. 7722 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),7720(a,1,1,2,1)),flip(a)]. 7723 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6256,a,7312,a)]. 7724 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5115(a,1),7319(a,1,2))]. 7725 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5115(a,1),7724(a,2,2))]. 7726 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7725(a,1),384(a,1,2)),flip(a)]. 7727 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4084(a,1),7726(a,1,2,1))]. 7728 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4084(a,1),7727(a,2,2,2))]. 7729 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7728(a,1),4115(a,1,1))]. 7730 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(220,a,5709,a(flip),b,7407,a(flip))]. 7731 (x * y) * K(z,T(x \ 1,y * x)) = x * (K(z,x \ 1) * y). [hyper(220,a,5917,a(flip),b,7410,a)]. 7732 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(220,a,7412,a(flip),b,7424,a)]. 7734 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7412(a,1),7453(a,1,1,2))]. 7735 K(x \ 1,T(y * K(z,(x * u) \ u),u)) = K((x * u) \ u,y). [hyper(7501,a,7531,a)]. 7737 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4993(a,1),7619(a,1,2,2))]. 7738 (x * (y * K(z,y))) / (x * K(z,y)) = y * K(x,y). [hyper(220,a,4778,a(flip),b,7737,a)]. 7740 K(x * K(y,z),z) = K(x,z). [hyper(6000,a,7738,a)]. 7741 K(x \ T(y,z),z) = K(x \ y,z). [para(1267(a,1),7740(a,1,1))]. 7742 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7740(a,1),4015(a,1,1))]. 7744 K(x * T(y,z),y) = K(x * y,y). [para(5686(a,1),7740(a,1,1)),flip(a)]. 7745 K(x * T(y,z),z) = K(x * y,z). [para(6140(a,1),7740(a,1,1))]. 7746 K(x * K(y,z),y) = K(x,y). [para(6172(a,1),7740(a,1,1)),flip(a)]. 7747 K(x / (y / z),z) = K(x / (z \ y),z). [para(6193(a,1),7740(a,1,1))]. 7748 K(K(x,y) * z,y) = K(z,y). [para(6530(a,1),7740(a,1,1))]. 7749 K(x * K(y,T(z,u)),z) = K(x,z). [para(7352(a,1),7740(a,1,1,2))]. 7750 K(K(x,y) * z,x) = K(z,x). [para(7398(a,1),7740(a,1,1)),flip(a)]. 7751 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7432(a,1),7740(a,1,1,2))]. 7753 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7746(a,1),5491(a,1,1,1,2)),flip(a)]. 7754 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5901(a,1),7746(a,1,1,2))]. 7755 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6590(a,1),7746(a,1,1))]. 7758 K(T(x,y) * z,x) = K(x * z,x). [para(4857(a,1),7748(a,1,1)),flip(a)]. 7760 K(K(x,y) \ z,x) = K(z,x). [para(5242(a,2),7748(a,1,1))]. 7765 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7432(a,1),7748(a,1,1,1))]. 7766 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(220,a,7746,a,b,7750,a)]. 7770 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7750(a,1),6111(a,1,1))]. 7771 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6845(a,1),7750(a,1,1,1))]. 7772 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(35(a,1),7741(a,1,1,2))]. 7774 K(x * T(y,z),y) = K(y * x,y). [hyper(220,a,6442,a(flip),b,7744,a)]. 7775 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7744(a,1),7543(a,2,2))]. 7776 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7211(a,1),7745(a,1,1,2)),flip(a)]. 7777 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5535(a,1),7749(a,1,1))]. 7778 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(220,a,7758,a,b,7774,a),flip(a)]. 7779 K(x * (y / T(x,z)),x) = K(y,x). [para(19(a,1),7774(a,1,1)),flip(a)]. 7780 K((K(x,y) * z) * u,x) = K(z * u,x). [para(114(a,1),7771(a,1,1))]. 7781 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6704(a,1),7771(a,1,1,1))]. 7782 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4853(a,1),7781(a,1,1))]. 7783 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4857(a,1),7781(a,1,1)),flip(a)]. 7784 K((x * y) / z,y) = K(x / (y \ z),y). [hyper(220,a,7200,a,b,7747,a(flip)),flip(a)]. 7785 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(5686(a,1),7751(a,1,1)),flip(a)]. 7786 K(x * T(y,z),T(z,u)) = K(x * y,T(z,u)). [para(6140(a,1),7751(a,1,1))]. 7787 K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). [para(7398(a,1),7751(a,1,1)),flip(a)]. 7788 K(x * K(y,z),T(T(z,u),w)) = K(x,T(T(z,u),w)). [para(7432(a,1),7751(a,1,1,2))]. 7789 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6693(a,1),7755(a,1,1,2))]. 7791 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7368(a,1),7755(a,1,1,2))]. 7792 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4857(a,1),7765(a,1,1)),flip(a)]. 7793 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5062(a,1),7765(a,1,1)),flip(a)]. 7796 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(220,a,7249,a(flip),b,7772,a(flip))]. 7797 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7777(a,1),6740(a,1,1,2))]. 7798 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6845(a,1),7787(a,1,1,1))]. 7800 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7791(a,1),5488(a,1,2,1,2)),flip(a)]. 7801 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7791(a,1),5489(a,1,2,1,2)),flip(a)]. 7802 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(220,a,7287,a(flip),b,7796,a(flip))]. 7803 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(220,a,7249,a(flip),b,7796,a(flip))]. 7804 K(x * T((y \ z) \ 1,u),T(z \ y,w)) = K(x * ((y \ z) \ 1),T((y \ z) \ 1,w)). [hyper(220,a,7713,a(flip),b,7785,a(flip)),flip(a)]. 7805 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(6497(a,1),7786(a,1,1)),flip(a)]. 7806 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(220,a,6704,a(flip),b,7742,a(flip)),flip(a)]. 7807 K(R(x,K(y,z),u),z) = K(x,z). [hyper(220,a,7740,a(flip),b,7806,a)]. 7809 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(49(a,1),7807(a,1,1))]. 7810 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7770(a,1),3583(a,1)),flip(b)]. 7813 K(x * y,x) != z | K(y * x,x) = z. [para(4853(a,1),7810(a,1,1))]. 7816 K(x * K(y,z),y) != u | K(x,y) = u. [para(7766(a,1),7810(a,1))]. 7817 K(x * (y * K(z,u)),z) != w | K(x * y,z) = w. [para(6590(a,1),7816(a,1,1))]. 7818 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6704(a,1),7798(a,1,1,1))]. 7820 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,6448,a(flip),b,7775,a)]. 7822 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(220,a,7789,a(flip),b,7776,a(flip))]. 7823 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(220,a,7779,a(flip),b,7822,a)]. 7824 K(R(x,y,x) * z,x) = K(x * z,x). [para(16(a,1),7823(a,1,1,2)),flip(a)]. 7825 K(x * R(y,z,y),y) = K(y * x,y). [hyper(220,a,7782,a(flip),b,7824,a(flip)),flip(a)]. 7826 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(7825(a,1),4969(a,2,2,2))]. 7827 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(220,a,4969,a,b,7826,a)]. 7828 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(220,a,4801,a(flip),b,7827,a)]. 7829 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4866,a,7828,a)]. 7830 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(220,a,7506,a,b,7829,a(flip)),flip(a)]. 7832 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(220,a,5625,a(flip),b,7641,a)]. 7833 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7376(a,1),7832(a,1,2,2))]. 7834 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6431(a,2),7833(a,1,2))]. 7835 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4869,a,7834,a)]. 7836 K(x,K(y,z)) = K(z,K(y,x)). [hyper(220,a,7612,a(flip),b,7835,a(flip))]. 7837 K(K(x,y),z) = K(x,K(y,z)). [hyper(220,a,5626,a,b,7836,a),flip(a)]. 7838 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(220,a,7835,a(flip),b,7836,a)]. 7839 K(x,y) \ K(y,K(x,z)) = K(y,T(x,z)). [hyper(71,a,7836,a,b,7379,a)]. 7840 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7836(a,1),98(a,1,2))]. 7841 L(x,K(y,K(z,u)),u) = L(x,w / v5,(v5 * (w / v5)) \ w). [para(7836(a,1),4187(a,1,2))]. 7842 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7836(a,1),4801(a,2,2)),flip(a)]. 7843 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7836(a,1),4845(a,2,1)),flip(a)]. 7845 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7836(a,1),5627(a,1,2))]. 7846 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7836(a,1),5628(a,1,1))]. 7847 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7836(a,1),5629(a,1,1))]. 7848 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7836(a,1),6164(a,1,2))]. 7849 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7836(a,1),6486(a,2,2))]. 7850 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7836(a,1),7354(a,1,2))]. 7851 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7836(a,1),7382(a,1,1))]. 7852 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(220,a,5756,a(flip),b,7837,a)]. 7853 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(220,a,6838,a,b,7837,a(flip)),flip(a)]. 7854 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7837(a,1),4804(a,1,2))]. 7856 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7837(a,1),5142(a,1,1))]. 7858 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(7837(a,1),5114(a,1,1))]. 7860 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7837(a,1),5678(a,1))]. 7861 (x / y) * K(z,K(u,y)) = x / T(y,K(z,u)). [para(7837(a,1),5685(a,1,2))]. 7862 (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. [para(7837(a,1),5700(a,1,2))]. 7863 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7837(a,1),5766(a,2,1))]. 7866 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7837(a,1),6543(a,1,2))]. 7867 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7331(a,1),7837(a,1,1)),flip(a)]. 7868 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7750(a,1),7837(a,1,1)),flip(a)]. 7869 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(94(a,1),7838(a,1,2,2))]. 7870 K(x,K(y,y * z)) = K(x,K(y,z)). [para(7333(a,1),7838(a,1,2))]. 7871 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7842(a,1),7556(a,1,2,2))]. 7872 K(K(x,y),z) = K(y,K(z,x)). [hyper(5155,a,7856,a)]. 7873 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5678,a,7872,a)]. 7874 K(K(x,y),z) = K(x,K(z,y)). [hyper(220,a,7836,a,b,7872,a)]. 7875 K(x,K(y,z)) = K(z,K(x,y)). [hyper(220,a,7837,a(flip),b,7872,a(flip))]. 7876 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7872(a,1),4801(a,2,2)),flip(a)]. 7877 K(K(x,y),z) * y = T(y,K(z,x)). [para(7872(a,2),4812(a,2,1)),flip(a)]. 7879 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7872(a,1),5678(a,1))]. 7880 K(K(x,y),z) = K(y,K(x,z)). [hyper(220,a,7837,a,b,7873,a),flip(a)]. 7881 K(x \ y,K(x,z)) = K(x,K(y,z)). [hyper(220,a,7613,a,b,7873,a),flip(a)]. 7883 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7873(a,1),4801(a,2,2)),flip(a)]. 7884 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7873(a,1),4812(a,2,1)),flip(a)]. 7885 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7873(a,1),4804(a,1,2))]. 7886 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7873(a,1),5022(a,1,1))]. 7887 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7873(a,1),5191(a,1,2))]. 7888 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7084(a,1),7873(a,1,2)),flip(a)]. 7889 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(7333(a,2),7873(a,1,2))]. 7891 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7873(a,1),7842(a,1,2))]. 7892 K(K(x,y),z) = K(z,K(x,y)). [hyper(220,a,7873,a,b,7874,a)]. 7893 K(x,K(y,z)) = K(x,K(z,y)). [hyper(220,a,7837,a(flip),b,7874,a(flip))]. 7897 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7874(a,1),5678(a,1))]. 7899 (x / y) * K(z,K(y,u)) != w | x / T(y,K(z,u)) = w. [para(7874(a,1),5700(a,1,2))]. 7900 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(220,a,7379,a,b,7875,a),flip(a)]. 7901 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(220,a,7612,a(flip),b,7875,a)]. 7902 K(x,K(y,(z \ 1) \ (z \ u))) = (z \ u) \ (z \ T(u,K(x,y))). [hyper(220,a,6184,a(flip),b,7875,a)]. 7903 K(x,K(y,T(z,x))) = K(z,K(x,y)). [hyper(220,a,7239,a,b,7875,a(flip)),flip(a)]. 7905 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7875(a,2),4812(a,2,1)),flip(a)]. 7907 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7875(a,2),4875(a,1,1))]. 7908 (1 / x) * K(y,K(z,x \ 1)) = T(1 / x,K(y,z)). [para(7875(a,2),4873(a,1,2))]. 7909 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7875(a,2),5022(a,1,1))]. 7910 x * L(K(y,K(z,x)),u,w) = T(x,L(K(y,z),u,w)). [para(7875(a,2),5913(a,1,2,1))]. 7911 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7875(a,2),5542(a,1,1))]. 7912 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(7875(a,2),6140(a,1,2))]. 7913 x * T(x \ y,K(z,u)) = y * K(z,K(u,x \ y)). [para(7875(a,2),6154(a,2,2))]. 7914 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7875(a,2),6281(a,2,2))]. 7915 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7875(a,2),6282(a,1,2,2))]. 7916 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(7875(a,2),6438(a,2,2))]. 7918 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7412(a,1),7875(a,1,2))]. 7919 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7875(a,2),7353(a,1,1))]. 7920 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7875(a,1),7354(a,1,2))]. 7921 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7875(a,1),7842(a,1,2))]. 7922 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7880(a,1),4853(a,1,1))]. 7923 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7880(a,1),5678(a,1))]. 7924 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5756(a,1),7880(a,1,1)),flip(a)]. 7925 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5765(a,1),7880(a,1,1)),flip(a)]. 7926 x * K(K(y,z),x) = T(x,K(y,z)). [para(7880(a,2),7842(a,1,2))]. 7927 K(x,y) \ K(K(x,y),z) = T(K(x,y),z) \ 1. [hyper(71,a,7892,a,b,4828,a(flip))]. 7928 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7892(a,1),4801(a,2,2)),flip(a)]. 7930 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7892(a,1),4856(a,2,1))]. 7932 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7892(a,1),5153(a,1,1))]. 7934 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(7892(a,1),5238(a,1,1))]. 7935 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7892(a,1),5242(a,1,1))]. 7936 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7892(a,1),5249(a,1,1))]. 7937 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7892(a,1),5252(a,1,1))]. 7938 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7892(a,1),5265(a,1,1))]. 7939 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7892(a,1),5297(a,1,1))]. 7940 T(1 / x,K(y,z)) \ 1 = x * K(x \ 1,K(y,z)). [para(7892(a,1),5345(a,2,2))]. 7941 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7892(a,1),5678(a,1))]. 7942 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7892(a,1),5685(a,1,2))]. 7944 x / K(y,K(z,u)) = x * K(y,K(z,u)). [para(7892(a,1),6173(a,1,2))]. 7946 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7893(a,1),4812(a,2,1)),flip(a)]. 7947 L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w)). [para(7893(a,1),5912(a,1,1))]. 7948 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5495(a,1),7893(a,1,2)),flip(a)]. 7949 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7412(a,1),7893(a,1,2))]. 7950 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7417(a,1),7893(a,1,2)),flip(a)]. 7951 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7893(a,1),7354(a,1,2))]. 7952 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),7870(a,1,2,2)),flip(a)]. 7953 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5318(a,1),7870(a,1,2)),flip(a)]. 7954 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(7870(a,1),7354(a,1,2))]. 7955 T(x,T(y,K(x,z))) = T(x,y). [para(7877(a,1),7311(a,1,2))]. 7956 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(220,a,7873,a,b,7881,a(flip)),flip(a)]. 7957 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(7333(a,1),7883(a,1,2,2))]. 7958 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,x / y)) / y. [hyper(5539,a,7891,a),flip(a)]. 7959 T(x,K(y,z)) = T(x,K(z,y)). [hyper(220,a,7842,a(flip),b,7891,a(flip))]. 7961 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7563,a,7959,a),flip(a)]. 7962 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(5356,a,7959,a)]. 7963 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(220,a,6190,a,b,7959,a),flip(a)]. 7964 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(220,a,5243,a,b,7959,a),flip(a)]. 7965 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(220,a,7693,a(flip),b,7959,a)]. 7966 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(220,a,6431,a(flip),b,7959,a)]. 7967 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(220,a,6359,a(flip),b,7959,a)]. 7969 T(T(x,K(y,z)),K(y,z)) = x. [hyper(220,a,5806,a(flip),b,7959,a)]. 7970 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(220,a,5713,a(flip),b,7959,a)]. 7971 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7959(a,1),118(a,1,2))]. 7972 T(x,K(y,z)) != x * u | K(x,K(z,y)) = u. [para(7959(a,1),4866(a,1))]. 7973 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7959(a,1),5356(a,1,1))]. 7974 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7959(a,1),5808(a,1,1))]. 7975 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7959(a,1),7054(a,1,1))]. 7976 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7959(a,1),7059(a,1,2))]. 7977 T(x * y,K(x,z)) = x * T(y,K(z,x)). [para(7959(a,1),7050(a,2,2))]. 7978 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(7959(a,1),7049(a,1,2))]. 7979 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7959(a,1),7563(a,1))]. 7980 T(T(T(x,K(y,z)),u),K(y,z)) = T(x,u). [hyper(220,a,121,a(flip),b,7969,a(flip)),flip(a)]. 7981 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(656(a,2),7969(a,1,1)),flip(a)]. 7982 K(x,K(y,z * x)) = K(y,K(z,x)). [hyper(220,a,7875,a(flip),b,7901,a)]. 7983 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7921(a,1),4804(a,1))]. 7984 T(x,K(y * z,y)) = x * K(x,K(y,z)). [para(7870(a,1),7921(a,1,2)),flip(a)]. 7986 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7952(a,1),5631(a,2,2))]. 7987 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(4986(a,1),7956(a,2,2))]. 7991 T(x,K(y,z * x)) = x * K(y,K(z,x)). [para(7982(a,1),4801(a,2,2))]. 7997 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7880(a,2),7860(a,1))]. 8001 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7412(a,1),7923(a,1,2))]. 8002 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7838(a,2),7941(a,1))]. 8003 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7839(a,1),5252(a,1))]. 8004 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7465(a,1),7843(a,1,1,2))]. 8005 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7338(a,1),7845(a,1,2,2)),flip(a)]. 8006 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7845(a,2),7347(a,1))]. 8007 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7235(a,1),7846(a,1,1,2)),flip(a)]. 8009 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7850(a,1),22(a,1))]. 8010 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(220,a,7837,a(flip),b,7867,a)]. 8011 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(220,a,7880,a(flip),b,7868,a)]. 8012 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(220,a,7872,a(flip),b,7868,a)]. 8013 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(220,a,7837,a(flip),b,7868,a)]. 8014 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(220,a,7345,a(flip),b,7871,a(flip)),flip(a)]. 8015 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7412(a,1),7876(a,1,2,2))]. 8016 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2124,a,7900,a)]. 8019 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(220,a,7881,a(flip),b,7918,a(flip))]. 8020 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(7918(a,1),7897(a,1))]. 8022 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7431(a,1),7920(a,1,2,2))]. 8023 (x * K(y,z)) / x = T(K(y,z),x). [hyper(4817,a,7928,a)]. 8024 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7928(a,1),4897(a,1,1,1))]. 8025 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7928(a,1),5489(a,1,2,1))]. 8026 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7928(a,1),6613(a,1,2))]. 8027 K(x \ y,z) * K(x,K(y,z)) = T(K(x \ y,z),x). [para(7956(a,1),7928(a,1,2))]. 8028 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(220,a,7345,a,b,8023,a)]. 8029 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(8023(a,2),118(a,1,2))]. 8030 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [para(6154(a,2),8023(a,1,1))]. 8033 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(5801,a,8028,a),flip(a)]. 8034 K(x,T(y,z)) * z = z * K(x,y). [para(8028(a,1),19(a,1,1))]. 8035 T(K(x,T(y,z)),z) = K(x,y). [para(8028(a,1),154(a,1,1))]. 8036 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8028(a,1),81(a,1,1)),flip(b)]. 8038 L(K(x,T(y,z)),u,w) * z = z * L(K(x,y),u,w). [para(8028(a,1),533(a,1,1,1))]. 8039 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8028(a,1),544(a,1,1,1))]. 8040 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(8028(a,1),697(a,1,1)),flip(a)]. 8041 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8028(a,1),753(a,1,1,1))]. 8042 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(8028(a,1),707(a,1,1,1))]. 8043 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8028(a,1),704(a,1,1,1))]. 8044 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(8028(a,1),1245(a,1,1,1))]. 8046 (x / T(y,z)) / (x / y) = K(z,T(y,x / y)). [para(5685(a,1),8028(a,1,1))]. 8047 (x * (y * ((x \ z) / y))) / z = K(y,T(x \ (y \ z),z)). [para(7122(a,1),8028(a,1,1))]. 8048 K(T(x,y),T(z,y)) = K(x,z). [hyper(7504,a,8035,a)]. 8049 K(x,T(T(y,z),z)) = K(x,y). [hyper(7347,a,8035,a)]. 8050 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6477,a,8035,a)]. 8052 T(K(x,y \ z),y) = K(x,z / y). [para(120(a,1),8035(a,1,1,2))]. 8054 T(K(x,y \ z),z) = K(x,z / y). [para(7192(a,1),8035(a,1,1))]. 8055 T(K(x \ y,z),y) = K(y / x,z). [para(7361(a,1),8035(a,1,1))]. 8056 T(K(x \ y,z),x) = K(y / x,z). [para(7430(a,1),8035(a,1,1))]. 8057 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(7355(a,2),8035(a,1,1))]. 8060 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(41(a,1),8048(a,1,2))]. 8061 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),8048(a,1,1))]. 8062 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(43(a,2),8048(a,1,2))]. 8063 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(45(a,2),8048(a,1,1))]. 8064 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(45(a,2),8048(a,1,2))]. 8065 K(x \ y,T(z,x)) = K(y / x,z). [para(120(a,1),8048(a,1,1))]. 8066 K((x * y) / x,z) = K(y,T(z,x)). [para(154(a,1),8048(a,1,1)),flip(a)]. 8067 K(x,(y * z) / y) = K(T(x,y),z). [para(154(a,1),8048(a,1,2)),flip(a)]. 8068 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(656(a,2),8048(a,1,2)),flip(a)]. 8069 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(886(a,1),8048(a,1,2))]. 8070 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3954(a,1),8048(a,1,1))]. 8071 x * K(T(x,y),T(z,y)) = T(x,z). [para(8048(a,2),4801(a,2,2)),flip(a)]. 8072 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8048(a,1),4812(a,2,1))]. 8073 K(x * K(y,x),z) = K(x,T(z,y)). [para(4824(a,1),8048(a,1,1)),flip(a)]. 8074 K(x,y * K(z,y)) = K(T(x,z),y). [para(4824(a,1),8048(a,1,2)),flip(a)]. 8075 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8048(a,1),5228(a,1,1)),flip(a)]. 8076 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(8048(a,1),6232(a,1,2)),flip(a)]. 8077 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8048(a,1),6873(a,1,1))]. 8078 K(T(x,y),z) * y = y * K(x,z). [para(8048(a,1),7368(a,1,2)),flip(a)]. 8079 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8048(a,1),7401(a,1,2,2))]. 8080 K(x,T(y \ z,z)) = K(x,z / y). [hyper(220,a,7589,a(flip),b,8049,a(flip)),flip(a)]. 8082 K(x,T(y \ z,y)) = K(x,z / y). [para(120(a,1),8049(a,1,2,1))]. 8083 K(x,(y * z) / y) = K(x,T(z,y)). [para(154(a,1),8049(a,1,2,1)),flip(a)]. 8086 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8049(a,1),7491(a,1,2)),flip(a)]. 8087 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(21,a,5950,a,b,8034,a)]. 8088 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(21,a,7710,a(flip),b,8034,a)]. 8089 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(21,a,5803,a(flip),b,8034,a)]. 8090 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(72,a,8034,a(flip),b,4821,a)]. 8091 K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). [para(41(a,1),8034(a,1,1,2))]. 8092 K(x,y \ z) * y = y * K(x,z / y). [para(120(a,1),8034(a,1,1,2))]. 8093 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(8034(a,1),594(a,1,1))]. 8094 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8034(a,1),4818(a,1,2)),flip(a)]. 8095 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8034(a,1),5257(a,1,1,3)),flip(a)]. 8096 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8034(a,1),7552(a,1,2,1))]. 8098 K(x / y,x / z) = K(y \ x,z \ x). [hyper(7296,a,8050,a),flip(a)]. 8099 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(220,a,7218,a(flip),b,8050,a(flip)),flip(a)]. 8101 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(7511,a,8054,a)]. 8102 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(220,a,7469,a(flip),b,8054,a(flip)),flip(a)]. 8103 K(x,y / (y / z)) = T(K(x,z),y). [para(66(a,1),8054(a,1,1,2)),flip(a)]. 8104 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [hyper(220,a,6494,a(flip),b,8056,a(flip))]. 8106 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(220,a,7224,a(flip),b,8065,a(flip))]. 8107 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),8065(a,1,1)),flip(a)]. 8108 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8065(a,1),5787(a,1,2)),flip(a)]. 8110 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(220,a,5487,a,b,8066,a(flip)),flip(a)]. 8111 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(713(a,2),8066(a,1,1))]. 8112 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3957(a,1),8066(a,1,1))]. 8113 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(2986(a,1),8067(a,1,2)),flip(a)]. 8114 T(x,(y * z) / y) = x * K(T(x,y),z). [para(8067(a,1),4801(a,2,2))]. 8115 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8067(a,2),7503(a,1))]. 8116 K(x * T(y,z),T(y,u)) != w | K(x * y,T(y,u)) = w. [para(8071(a,1),7817(a,1,1,2))]. 8117 ((x / y) * K(y,z)) \ (x * K(y,T(u,z))) = T(y * K(z,y),u). [para(8073(a,1),6396(a,1,2,2))]. 8118 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(4953(a,1),8073(a,1,1)),flip(a)]. 8119 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7436(a,1),8073(a,1,1,2)),flip(a)]. 8120 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(4953(a,1),8074(a,1,2)),flip(a)]. 8121 K(x,y * K(z,y)) != u | K(x,T(y,z)) = u. [para(8074(a,2),7503(a,1))]. 8122 x / (x * K(y,z)) = K(z,T(y,x)). [para(8078(a,1),5244(a,1,2))]. 8123 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(8078(a,1),5253(a,1,2))]. 8124 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7460(a,1),8078(a,1,1))]. 8125 K(x,T(y \ (x \ z),z)) = K(x,(x \ z) / y). [hyper(7566,a,8080,a)]. 8126 K(x,y / (y / z)) = K(x,T(z,y)). [para(66(a,1),8080(a,1,2,1)),flip(a)]. 8127 K(x,T((y * (z * K(x,u))) \ w,y * z)) = K(x,w / (y * (z * K(x,u)))). [hyper(220,a,7559,a(flip),b,8082,a(flip)),flip(a)]. 8128 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(27(a,2),8082(a,1,2,1)),flip(a)]. 8129 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(31(a,2),8082(a,1,2,1)),flip(a)]. 8130 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(105(a,2),8082(a,1,2,1))]. 8131 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(712(a,1),8083(a,1,2)),flip(a)]. 8132 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(710(a,1),8083(a,1,2)),flip(a)]. 8133 ((x * y) / x) * K(z,T(y,x)) = (x * (y * K(z,y))) / x. [para(8083(a,1),5748(a,1,2))]. 8136 K(x,y / (y / z)) != u | K(x,T(z,y)) = u. [para(8103(a,2),7347(a,1))]. 8137 x / (x / K(y,z)) = K(y,T(z,x)). [para(6173(a,2),8122(a,1,2))]. 8138 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8126(a,1),6801(a,1,2))]. 8139 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8126(a,1),6460(a,1,1,2))]. 8140 K(x,T(y,z)) \ z = z / K(x,y). [para(8137(a,1),66(a,1,1))]. 8141 x / K(x / y,z) = K(y \ x,z) \ x. [para(7361(a,1),8140(a,1,1)),flip(a)]. 8142 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6085(a,1),7950(a,2,2,1))]. 8143 K(x,y) * T(z,K(y,x)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7964(a,1),5254(a,1,2))]. 8144 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(6173(a,2),7964(a,1,2))]. 8145 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6191(a,1),7964(a,1,2)),flip(a)]. 8146 K(x,y) * ((z * K(y,x)) * y) = T(z,K(x,y)) * y. [para(7964(a,1),7201(a,1,1)),flip(a)]. 8147 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(7971(a,1),22(a,1)),flip(a)]. 8149 T(x * y,K(z,x)) = x * T(y,K(z,x)). [hyper(7983,a,7977,a)]. 8150 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(220,a,4801,a,b,7984,a)]. 8151 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(7983,a,8150,a)]. 8152 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(220,a,7959,a,b,8151,a)]. 8153 T(x,K(y,y * T(x,z))) = x. [hyper(220,a,6401,a(flip),b,8151,a)]. 8154 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(17(a,1),8151(a,1,2,2)),flip(a)]. 8155 T(x,K(y,z / y)) = T(x,K(y,z)). [para(7334(a,1),8151(a,1,2)),flip(a)]. 8156 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(38,a,8153,a)]. 8157 T(x,K(y,z * y)) = T(x,K(z,y)). [para(7333(a,2),8152(a,1,2))]. 8158 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(8152(a,1),7975(a,1,1))]. 8159 T(x,K(y \ z,y)) = T(x,K(z / y,z)). [para(6453(a,1),8154(a,1,2))]. 8160 K(x,T(y,K(z,z \ x))) = K(x,y). [para(8154(a,2),7237(a,1,2))]. 8161 (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). [hyper(71,a,8157,a(flip),b,7966,a(flip))]. 8162 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6187(a,1),8160(a,1,2))]. 8163 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(220,a,7891,a(flip),b,7991,a)]. 8164 T(x,K(y,z / x)) = T(x,K(y,z)). [para(19(a,1),8163(a,1,2,2)),flip(a)]. 8165 T(x,K(y,z * x)) != u | T(x,K(z,y)) = u. [para(8163(a,2),7983(a,1))]. 8166 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(220,a,7959,a,b,8164,a)]. 8167 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(17(a,1),8010(a,1,2,1)),flip(a)]. 8168 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7897,a,8012,a)]. 8169 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5238(a,1),8013(a,1,1)),flip(a)]. 8170 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8013(a,1),6151(a,1,3))]. 8171 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8034(a,1),8013(a,1,1))]. 8172 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6819,a,8170,a)]. 8173 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8170(a,1),427(a,1,1)),flip(a)]. 8174 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8016(a,1),6175(a,1,1)),flip(b)]. 8176 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(220,a,5552,a,b,8057,a(flip)),flip(a)]. 8177 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(220,a,5381,a,b,8072,a)]. 8178 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [hyper(71,a,8072,a,b,5092,a(flip))]. 8179 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8072(a,1),4832(a,2,2))]. 8181 K(x,K(y,z \ K(z,x))) = K(x,K(y,z \ 1)). [para(8087(a,1),7239(a,1,2))]. 8182 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(7244,a,8089,a)]. 8184 x * K(y,(x / z) / x) = K(y,z \ 1) * x. [para(6126(a,1),8092(a,1,1)),flip(a)]. 8185 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8094(a,2),6873(a,1,2))]. 8186 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6068(a,1),8096(a,1,2,1)),flip(a)]. 8187 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6927,a,8098,a)]. 8188 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(705(a,2),8114(a,1,2))]. 8189 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8144(a,1),105(a,2,2))]. 8190 x * T(x \ y,K(z,x)) = T(y,K(z,x)). [para(17(a,1),8149(a,1,1)),flip(a)]. 8191 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7879,a,8167,a)]. 8192 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4875(a,1),8168(a,1,2,2))]. 8194 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5596(a,1),8168(a,1,2,2)),flip(a)]. 8195 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8079(a,1),8168(a,1,2,2)),flip(a)]. 8196 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(220,a,8011,a(flip),b,8169,a)]. 8197 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8176(a,1),4838(a,2,2))]. 8198 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8177(a,2),168(a,1,1,1))]. 8199 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(16(a,1),8182(a,1,2,1,2))]. 8200 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [hyper(71,a,2120,a(flip),b,8190,a),flip(a)]. 8201 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7345(a,1),8191(a,1,2))]. 8202 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8195(a,1),7905(a,1,1))]. 8204 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8200(a,1),7975(a,1,1)),flip(a)]. 8207 K(x,y \ z) * z != z * u | K(x,z / y) = u. [para(7192(a,1),8036(a,1,1))]. 8208 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3222,a,7840,a),flip(a)]. 8209 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(8168(a,1),7858(a,1,1))]. 8211 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4986(a,1),7907(a,1,1,2))]. 8212 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7912(a,1),7309(a,1,2))]. 8213 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6173(a,2),7922(a,1,2))]. 8214 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7987(a,1),7922(a,1,1))]. 8215 K(1 / x,y) \ K(K(1 / x,y),z) = K(1 / T(x,z),y) \ 1. [para(5552(a,2),7927(a,2,1))]. 8216 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(1 / x,z) \ 1. [para(8057(a,1),7927(a,2,1))]. 8217 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(5674,a,7942,a)]. 8218 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [hyper(6720,a,7947,a)]. 8219 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(7885,a,7957,a),flip(a)]. 8220 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(8165,a,8219,a),flip(a)]. 8221 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8220(a,1),7975(a,1,1))]. 8222 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7970(a,1),7503(a,1,1))]. 8223 K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). [hyper(220,a,7949,a,b,8019,a)]. 8224 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8030(a,1),5008(a,1))]. 8225 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6336(a,2),8224(a,1))]. 8226 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7345(a,2),8224(a,1))]. 8227 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(7321(a,1),8226(a,1,2))]. 8228 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8033(a,1),4801(a,2,2))]. 8229 (x / T(y,z)) / (x / y) = K(z,T(y,x)). [hyper(220,a,7220,a(flip),b,8046,a)]. 8230 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(8229(a,1),19(a,1,1))]. 8231 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(2857(a,1),8230(a,1,1,2))]. 8232 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(220,a,6412,a(flip),b,8061,a(flip)),flip(a)]. 8233 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6596,a,8062,a)]. 8234 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4144(a,1),8063(a,1,1,1)),flip(a)]. 8235 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4778(a,1),8070(a,1,2,2))]. 8236 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8177(a,1),8075(a,1,1))]. 8237 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(220,a,6140,a(flip),b,8086,a)]. 8238 T(x,T(T(y,z),z)) = T(x,y). [hyper(7610,a,8237,a)]. 8239 K(T(x,y),z) * (y * x) = y * T(x,z). [hyper(7528,a,8237,a)]. 8240 K(x,T(y,z)) \ (z * y) = z * T(y,x). [hyper(7445,a,8237,a)]. 8241 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5452,a,8237,a)]. 8242 T(K(x,y),z) * (z * x) = z * T(x,y). [hyper(220,a,7364,a(flip),b,8237,a(flip)),flip(a)]. 8243 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(72,a,8237,a(flip),b,5064,a(flip))]. 8245 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(220,a,8177,a(flip),b,8238,a(flip)),flip(a)]. 8247 T(x,T(y \ z,y)) = T(x,z / y). [para(120(a,1),8238(a,1,2,1))]. 8248 T(x,(y * z) / y) = T(x,T(z,y)). [para(154(a,1),8238(a,1,2,1)),flip(a)]. 8249 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(175(a,1),8238(a,1,2,1))]. 8250 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4824(a,1),8238(a,1,2,1)),flip(a)]. 8251 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8238(a,1),7654(a,1,1,2))]. 8252 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(705(a,2),8248(a,1,2))]. 8253 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(4920(a,2),8248(a,1,2))]. 8254 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5948(a,1),8248(a,1,2,1)),flip(a)]. 8255 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(220,a,4441,a,b,8250,a(flip)),flip(a)]. 8257 K(x,y) \ (R(x,z,u) * y) = R(x,z,u) * T(y,x). [para(7362(a,1),8240(a,1,1))]. 8258 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,241,a(flip),b,8241,a)]. 8259 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8241(a,1),272(a,1,1)),flip(b)]. 8262 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7494(a,1),8242(a,1,1))]. 8263 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(120(a,1),8243(a,1,2))]. 8264 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1385(a,1),8243(a,1,1,2))]. 8265 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7309(a,1),8243(a,1,1,2)),flip(a)]. 8266 K(x,y) * T(T(y,x),z) = T(y,T(z,x)). [hyper(5249,a,8245,a)]. 8269 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(175(a,1),8266(a,1,2))]. 8272 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8099(a,2),6878(a,1))]. 8273 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(220,a,6885,a(flip),b,8101,a)]. 8274 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(220,a,8065,a(flip),b,8112,a(flip)),flip(a)]. 8275 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8156(a,1),7518(a,2,1))]. 8276 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8172(a,2),5270(a,1,1))]. 8277 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). [hyper(71,a,8181,a(flip),b,7379,a)]. 8279 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(220,a,4838,a,b,8197,a)]. 8280 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(120(a,1),8279(a,1,2,2,1))]. 8281 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8204(a,1),118(a,1,2))]. 8282 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5927(a,1),8213(a,1,1,2))]. 8283 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(220,a,4621,a,b,8221,a(flip)),flip(a)]. 8284 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). [hyper(220,a,7385,a,b,8223,a(flip)),flip(a)]. 8285 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(220,a,4856,a,b,8231,a(flip)),flip(a)]. 8286 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7837(a,1),8236(a,2,1))]. 8288 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5648(a,1),8253(a,1,2,1))]. 8289 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8273(a,2),7368(a,2,1)),flip(a)]. 8290 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4081(a,1),8280(a,1,2,2))]. 8291 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8283(a,1),171(a,1,2))]. 8292 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7850(a,1),7854(a,1))]. 8293 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7918(a,2),7854(a,1,2))]. 8295 K(x,y / (y / z)) != u | T(K(x,z),y) = u. [para(8126(a,2),8292(a,1))]. 8296 K(x,y \ K(y,z)) != u | T(K(x,y \ 1),z) = u. [para(8087(a,1),8292(a,1))]. 8298 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7612(a,1),8006(a,1,2))]. 8299 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,8119,a)]. 8300 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(120(a,1),8299(a,1,2,2)),flip(a)]. 8301 K(x,y \ 1) * z != z * u | K(x,z / (z * y)) = u. [para(6123(a,1),8207(a,1,1))]. 8302 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4081(a,2),8225(a,1,1))]. 8303 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7412(a,1),8302(a,1))]. 8305 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7435(a,1),8302(a,1))]. 8306 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(7309(a,1),8303(a,1,2))]. 8307 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(220,a,8048,a(flip),b,8232,a(flip))]. 8309 T(K(x,y),z) * (T(y,x) * u) = K(x,K(y,z)) * (y * u). [para(4857(a,1),7847(a,1,2)),flip(a)]. 8310 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7847(a,2),7637(a,1))]. 8311 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(6449(a,1),7849(a,1,1))]. 8312 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7956(a,1),7851(a,1,1))]. 8313 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5906(a,1),7863(a,1,1)),flip(a)]. 8314 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [para(8313(a,1),7910(a,1,2))]. 8315 x * T(x \ y,K(y,z)) = T(y,K(z,x \ y)). [hyper(220,a,4801,a,b,7913,a)]. 8317 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [hyper(72,a,8315,a(flip),b,344,a)]. 8319 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5513(a,1),7965(a,1,2))]. 8320 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(220,a,7845,a(flip),b,8005,a)]. 8322 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(220,a,7846,a(flip),b,8007,a)]. 8323 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5807(a,1),8322(a,1,2))]. 8324 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4595(a,1),8015(a,1,2,2,2))]. 8325 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(45(a,1),8024(a,1,1))]. 8326 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(220,a,8172,a(flip),b,8026,a)]. 8328 K(x \ y,z) * K(x,K(y,z)) = K(y / x,z). [hyper(220,a,8056,a(flip),b,8027,a)]. 8329 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(7375(a,1),8038(a,1,1))]. 8330 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7309(a,1),8039(a,1,1,1,2))]. 8332 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(5504,a,8106,a)]. 8333 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(8296,a,8113,a)]. 8334 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(7616,a,8124,a),flip(a)]. 8335 K(x,y) * (z * T(y,x)) = T(z,K(x,y)) * y. [para(6206(a,1),8146(a,1,2))]. 8336 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(3049(a,1),8335(a,2,1))]. 8337 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5064(a,2),8336(a,1,2))]. 8338 K(x,y * K(z \ x,z)) = K(x,y). [hyper(220,a,7165,a(flip),b,8162,a(flip))]. 8340 K(x,y) * ((y * K(z \ x,z)) * x) = x * (y * K(z \ x,z)). [para(8338(a,1),4853(a,1,1))]. 8341 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(5822(a,1),8338(a,1,2)),flip(a)]. 8342 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4857(a,1),8186(a,1,2,1,1)),flip(a)]. 8343 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5525,a,8218,a)]. 8344 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(220,a,4801,a,b,8228,a)]. 8345 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(16(a,1),8344(a,1,2,1,1)),flip(a)]. 8346 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4950(a,1),8345(a,1,2)),flip(a)]. 8347 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(45(a,2),8252(a,2,2))]. 8348 K(x,y * z) \ ((x * y) * z) = R(x,y,z) * T(y * z,x). [para(114(a,1),8257(a,1,2))]. 8349 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8258(a,1),6141(a,1,1,1))]. 8350 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6155(a,1),8263(a,1,1))]. 8351 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(8350(a,2),7564(a,1))]. 8352 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(220,a,8243,a(flip),b,8265,a)]. 8353 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(5424(a,1),8352(a,1,2,1)),flip(a)]. 8354 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8285(a,1),3237(a,1,2)),flip(a)]. 8355 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(5209,a,8314,a),flip(a)]. 8356 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(220,a,8320,a(flip),b,8323,a)]. 8358 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6173(a,1),8356(a,1,2))]. 8359 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8358(a,1),8326(a,1,2))]. 8360 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(160,a,8325,a(flip),b,3934,a(flip))]. 8362 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4066(a,1),8347(a,1,2,1)),flip(a)]. 8363 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(118(a,1),8116(a,1,1))]. 8365 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(8301,a,8184,a(flip)),flip(a)]. 8366 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(8301,a,7523,a(flip))]. 8370 L(x,K(y,K(z,u)),u / K(w,z)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7532(a,1),7841(a,1,2,2))]. 8371 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5756(a,1),7852(a,1,1)),flip(a)]. 8372 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7837(a,1),7853(a,1,1))]. 8373 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5756(a,1),7924(a,1,2)),flip(a)]. 8374 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(220,a,8371,a,b,8373,a(flip)),flip(a)]. 8375 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7873(a,1),8374(a,1,1))]. 8376 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8375(a,2),4804(a,1,2))]. 8377 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5765(a,1),7925(a,1,2)),flip(a)]. 8378 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8166(a,1),7978(a,1,2))]. 8379 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(8378(a,2),22(a,1))]. 8380 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4082(a,2),8378(a,2,2,1))]. 8381 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(7638,a,7986,a)]. 8382 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(220,a,7843,a(flip),b,8004,a(flip))]. 8383 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(16(a,1),8382(a,1,2,2)),flip(a)]. 8385 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(6648,a,8047,a),flip(a)]. 8387 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(220,a,8125,a(flip),b,8385,a(flip)),flip(a)]. 8388 K(x,(x * y) / (z * x)) = K(x,y / z). [para(16(a,1),8387(a,1,2,1)),flip(a)]. 8389 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(8387(a,1),6169(a,1,1,2))]. 8390 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(6197,a,8389,a),flip(a)]. 8391 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(220,a,8064,a(flip),b,8077,a)]. 8394 (K(x,T(y,z)) \ 1) \ K((z * y) / z,K(x,T(y,z))) = ((((z * (y * K(x,y))) / z) / ((z * y) / z)) \ 1) \ 1. [para(8133(a,1),5485(a,1,1,1,1)),flip(a)]. 8395 (((x * y) / x) * ((K(z,T(y,x)) \ u) \ u)) / ((x * y) / x) = ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ u) \ u. [para(8133(a,1),7667(a,2,1,1,1))]. 8396 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(7013(a,1),8173(a,2,2))]. 8397 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8048(a,1),8179(a,1,1)),flip(a)]. 8399 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4066(a,1),8188(a,1,2,1))]. 8400 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7909,a,8202,a),flip(a)]. 8401 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6077,a,8400,a),flip(a)]. 8402 K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)). [hyper(6076,a,8400,a)]. 8403 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(5765(a,1),8400(a,2,2))]. 8404 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8400(a,2),6169(a,1,1))]. 8407 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7884(a,1),8401(a,1,1)),flip(a)]. 8408 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [para(8402(a,1),6059(a,1,2)),flip(a)]. 8409 T(K(x,y) * (y \ z),K(y,u)) = T(y,x) \ T(z,K(y,u)). [hyper(7066,a,8408,a(flip)),flip(a)]. 8410 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7961(a,1),8211(a,2,1))]. 8411 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8048(a,1),8233(a,1,1)),flip(a)]. 8412 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(135(a,1),8411(a,1,2,2)),flip(a)]. 8413 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6152(a,1),8411(a,1,2,2)),flip(a)]. 8415 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(19(a,1),8412(a,1,2))]. 8416 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8412(a,1),103(a,1,2))]. 8417 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(220,a,6587,a(flip),b,8413,a)]. 8418 L(K(x,y * z),R(z,y,z),u) = L(K(x,y * z),T(z,y),u). [para(6447(a,1),8417(a,1,2))]. 8419 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(220,a,7690,a(flip),b,8234,a)]. 8420 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(115(a,1),8419(a,1,1)),flip(a)]. 8421 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8259,a,8264,a),flip(a)]. 8422 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8275(a,2),7347(a,1))]. 8423 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7872(a,1),8286(a,2,2))]. 8424 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4604(a,2),8291(a,1,2))]. 8425 T(K(x,y),z) * (T(y,x) * u) = T(y,K(x,z)) * u. [hyper(7886,a,8309,a(flip)),flip(a)]. 8426 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(7679,a,8425,a(flip))]. 8427 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8054(a,1),8426(a,1,1))]. 8428 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(220,a,8269,a(flip),b,8427,a(flip))]. 8429 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(8428(a,1),4826(a,2,2)),flip(a)]. 8430 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(220,a,7837,a(flip),b,8429,a)]. 8431 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [para(5075(a,2),8430(a,2,2))]. 8432 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8354(a,1),400(a,1,1,1))]. 8433 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8372(a,2),7946(a,1,1))]. 8434 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(220,a,7606,a(flip),b,8381,a(flip))]. 8435 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7875(a,2),8434(a,1,2))]. 8436 (x \ y) * K(x,K(y,z)) = T(x \ y,K(z,y)). [hyper(220,a,8428,a,b,8435,a)]. 8437 (x \ y) * K(y,K(x,z)) = T(x \ y,K(z,y)). [para(7873(a,1),8436(a,1,2))]. 8438 K(x,K(y,z \ y)) = K(y,K(z,x)). [hyper(20,a,7891,a,b,8437,a),flip(a)]. 8439 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8438,a)]. 8440 x * K(y,K(x,z \ x)) = T(x,K(y,z)). [para(8438(a,2),7921(a,1,2))]. 8441 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(220,a,7953,a,b,8439,a(flip)),flip(a)]. 8442 K(x,K(y,y / z)) = K(x,K(y,z)). [para(66(a,1),8439(a,1,2,2)),flip(a)]. 8443 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(7941,a,8441,a)]. 8444 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7923,a,8441,a)]. 8445 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7897,a,8441,a)]. 8446 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(220,a,7893,a,b,8441,a)]. 8447 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(220,a,7875,a(flip),b,8441,a)]. 8448 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(220,a,8372,a,b,8441,a(flip)),flip(a)]. 8449 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(66(a,1),8441(a,1,2,2)),flip(a)]. 8450 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5510(a,1),8441(a,1,2))]. 8451 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6107(a,1),8441(a,1,2))]. 8453 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8441(a,1),7845(a,1,2))]. 8454 K(x,K(y,y / z)) != u | K(y,K(x,z)) = u. [para(8442(a,2),7879(a,1))]. 8455 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(220,a,7893,a,b,8443,a)]. 8456 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(66(a,1),8443(a,1,2,1)),flip(a)]. 8457 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6261(a,1),8443(a,1,2))]. 8458 K(1 / x,K(y,z)) = K(y,K(z,x)). [hyper(5295,a,8444,a)]. 8459 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(220,a,7893,a,b,8444,a)]. 8460 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8444,a)]. 8461 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(220,a,5763,a,b,8444,a(flip)),flip(a)]. 8462 K(x,K(y,1 / z)) = K(z,K(x,y)). [hyper(220,a,581,a(flip),b,8444,a(flip))]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5782(a,1),8445(a,1,2)),flip(a)]. 8464 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8446(a,2),7941(a,1))]. 8465 (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). [para(8446(a,1),7908(a,1,2))]. 8466 T(x,K(y,z \ 1)) = x * K(z,K(y,x)). [para(8447(a,1),7883(a,1,2)),flip(a)]. 8467 K(x,K(y,1 / z)) = K(x,K(y,z * y)). [hyper(220,a,7838,a,b,8449,a)]. 8469 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(8449(a,2),7941(a,1))]. 8470 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(71,a,8455,a(flip),b,6642,a(flip))]. 8471 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5761(a,2),8455(a,1,2))]. 8473 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8456(a,2),7941(a,1))]. 8474 K(1 / x,K(y,z)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8458,a)]. 8475 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(220,a,5556,a(flip),b,8458,a(flip)),flip(a)]. 8476 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8458(a,2),7941(a,1))]. 8477 K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. [para(8459(a,2),7941(a,1))]. 8478 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7885,a,8440,a)]. 8479 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(220,a,6325,a,b,8478,a(flip)),flip(a)]. 8481 T(x,K(y,x / z)) = x * K(x,K(z,y)). [hyper(220,a,7921,a,b,8479,a)]. 8482 x * K(y,K(x / z,x)) = T(x,K(y,z)). [hyper(220,a,7891,a,b,8479,a(flip)),flip(a)]. 8483 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8479(a,1),5556(a,2,1,1))]. 8484 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8457(a,1),7941(a,1))]. 8485 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(220,a,7891,a(flip),b,8466,a)]. 8486 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(220,a,7842,a(flip),b,8466,a)]. 8487 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7983,a,8485,a)]. 8489 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6107(a,1),8485(a,1,2)),flip(a)]. 8490 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7563,a,8486,a),flip(a)]. 8491 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(66(a,1),8486(a,1,2,2)),flip(a)]. 8492 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8486(a,1),118(a,1,2))]. 8493 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6107(a,1),8486(a,1,2))]. 8494 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8487(a,2),7983(a,1))]. 8495 K(x,K(y,1 / z)) = K(y,K(x,y * z)). [hyper(220,a,7889,a(flip),b,8467,a)]. 8496 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(7972,a,8481,a)]. 8497 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(7879,a,8496,a)]. 8498 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(8497(a,1),7879(a,1))]. 8499 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(20,a,4801,a(flip),b,8482,a)]. 8501 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7923,a,8499,a)]. 8502 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(6344(a,1),8499(a,1,2))]. 8503 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(8501(a,1),6326(a,1,1))]. 8504 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(220,a,7875,a,b,8502,a)]. 8505 K(x,y \ x) * K(x,K(z,y)) = K(x,T(y \ x,z)). [para(8502(a,1),7354(a,1,2))]. 8506 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8502(a,2),7897(a,1))]. 8507 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8489(a,1),7983(a,1))]. 8508 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7563,a,8490,a),flip(a)]. 8510 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(220,a,4801,a(flip),b,8508,a)]. 8511 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(220,a,8478,a(flip),b,8493,a)]. 8512 K(x,K(y,T(x,z) * u)) = K(y,K(x,1 / u)). [hyper(220,a,8192,a,b,8495,a),flip(a)]. 8513 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4866,a,8510,a)]. 8514 K((x \ 1) \ y,T(z,x)) = K(y / (x \ 1),z). [hyper(8303,a,8513,a),flip(a)]. 8515 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(7297,a,8513,a)]. 8516 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(220,a,7649,a(flip),b,8513,a(flip)),flip(a)]. 8517 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(220,a,7648,a(flip),b,8513,a(flip)),flip(a)]. 8518 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(66(a,1),8513(a,1,2,2)),flip(a)]. 8519 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(120(a,1),8513(a,1,2)),flip(a)]. 8521 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6492(a,1),8513(a,1,2))]. 8522 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8513(a,1),7368(a,1,2))]. 8523 K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y). [para(8513(a,1),8034(a,1,1))]. 8524 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(16(a,1),8515(a,1,2,2))]. 8525 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(248(a,1),8516(a,1,2)),flip(a)]. 8526 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(546(a,1),8516(a,1,2)),flip(a)]. 8527 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(546(a,1),8516(a,2,2))]. 8529 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8521(a,1),7231(a,1))]. 8530 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8521(a,1),7566(a,1))]. 8532 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(8454,a,8431,a(flip)),flip(a)]. 8533 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5510(a,1),8464(a,1,2))]. 8534 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5514(a,2),8464(a,1,2))]. 8535 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w \ K(u,z))) = v5. [para(6132(a,1),8464(a,1,2))]. 8536 K(x,T(y,z \ (u * y))) != w | K(x,T(y,u \ z)) = w. [para(6598(a,1),8529(a,1,2))]. 8537 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7219(a,2),8529(a,1))]. 8538 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(8524(a,1),8530(a,1))]. 8539 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4216(a,1),8537(a,1,2))]. 8540 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6492(a,1),8537(a,1,2))]. 8542 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8453(a,1),7854(a,1))]. 8544 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(7899,a,8465,a)]. 8545 T(1 / x,K(y,z)) \ 1 = T(x,K(y,z)). [para(8544(a,1),66(a,1,1))]. 8546 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6187(a,1),8544(a,1,2)),flip(a)]. 8547 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7875(a,2),8503(a,1,1))]. 8548 K(x,K(y,T(x,z) * u)) != w | K(x,K(y,1 / u)) = w. [para(8512(a,2),7879(a,1))]. 8549 K((x \ 1) \ y,z) * x = x * K(y / (x \ 1),z). [para(8514(a,1),7368(a,1,2)),flip(a)]. 8552 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(220,a,7875,a(flip),b,8532,a)]. 8554 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8547(a,1),4868(a,1,1,1))]. 8555 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8441(a,1),8448(a,1,1))]. 8556 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8447(a,1),8448(a,1,1))]. 8557 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(220,a,8375,a(flip),b,8555,a(flip)),flip(a)]. 8558 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8555(a,2),4801(a,2,2)),flip(a)]. 8559 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(220,a,8555,a(flip),b,8556,a(flip))]. 8560 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(220,a,8374,a(flip),b,8556,a(flip)),flip(a)]. 8561 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(4015(a,1),8557(a,1,2)),flip(a)]. 8562 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6913(a,1),8560(a,1,2)),flip(a)]. 8563 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8459(a,1),8461(a,1,1))]. 8564 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8460(a,1),8461(a,1,1))]. 8565 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(220,a,7947,a(flip),b,8563,a(flip)),flip(a)]. 8566 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(220,a,5912,a(flip),b,8563,a(flip)),flip(a)]. 8567 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(220,a,8563,a(flip),b,8564,a(flip))]. 8568 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(220,a,8313,a(flip),b,8564,a(flip)),flip(a)]. 8569 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8564(a,1),103(a,1,2))]. 8570 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(220,a,8565,a(flip),b,8566,a(flip))]. 8571 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6111(a,1),8566(a,1,2)),flip(a)]. 8572 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(6589(a,1),8566(a,1,2)),flip(a)]. 8573 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8415(a,1),8566(a,1,2)),flip(a)]. 8574 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(7879,a,8567,a)]. 8575 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(8498,a,8570,a)]. 8576 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(7941,a,8570,a)]. 8577 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(217(a,1),8574(a,2,2,2))]. 8578 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8574(a,2),7879(a,1))]. 8579 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6443(a,1),8471(a,2,2))]. 8580 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T((z \ y) \ x,u)). [para(6576(a,1),8505(a,1,1))]. 8581 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8525(a,1),6746(a,1,2))]. 8582 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8526(a,1),6742(a,1,2))]. 8583 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8526(a,2),7876(a,2,1))]. 8585 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(217(a,1),8572(a,1,2,2)),flip(a)]. 8586 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(217(a,1),8575(a,1,2,2)),flip(a)]. 8587 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(8536,a,8517,a)]. 8588 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(16(a,1),8587(a,1,2,2)),flip(a)]. 8589 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7893(a,1),8578(a,1))]. 8590 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8565(a,2),8578(a,1))]. 8591 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8566(a,2),8578(a,1))]. 8592 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8581,a(flip),b,4818,a),flip(a)]. 8593 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8582(a,1),5442(a,1,1)),flip(a)]. 8594 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(5912(a,2),8590(a,1))]. 8595 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8377(a,2),8590(a,1))]. 8596 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(7873(a,1),8594(a,1,1))]. 8597 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [para(5114(a,1),8409(a,1,1)),flip(a)]. 8598 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(K(x,y) * z,w)). [para(6359(a,1),8597(a,1,1)),flip(a)]. 8600 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(410(a,1),8573(a,1,2,2)),flip(a)]. 8602 K(x,y) * R(K(z,K(u,y)),w,w \ K(x,y)) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(5810(a,1),8042(a,1,1,1,2)),flip(a)]. 8603 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(220,a,8060,a(flip),b,8118,a(flip))]. 8604 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7875(a,2),8310(a,1,1))]. 8606 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8376,a,8558,a)]. 8607 K(x,L(y,z,T(y,u))) = K(x,y). [hyper(20,a,7259,a,b,8416,a)]. 8608 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(20,a,7008,a,b,8416,a)]. 8609 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(20,a,4430,a,b,8416,a)]. 8610 (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = u. [para(8416(a,1),22(a,1)),flip(a)]. 8612 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(43(a,1),8608(a,1,2))]. 8613 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [para(217(a,1),8608(a,1,2))]. 8614 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(8609(a,1),6083(a,1,1)),flip(a)]. 8615 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(220,a,6083,a(flip),b,8614,a)]. 8616 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(220,a,6084,a(flip),b,8615,a)]. 8618 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(8616(a,1),1788(a,1,2))]. 8619 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(8618(a,1),4428(a,1,2)),flip(a)]. 8620 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(220,a,8049,a(flip),b,8420,a(flip)),flip(a)]. 8621 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(7875(a,2),8569(a,2,2,2))]. 8622 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(2126,a,8592,a)]. 8624 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(220,a,7396,a(flip),b,8620,a),flip(a)]. 8625 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(66(a,1),8624(a,1,1,1)),flip(a)]. 8626 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(18(a,1),8625(a,1,1,2)),flip(a)]. 8628 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(220,a,6873,a(flip),b,8626,a(flip))]. 8629 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7748(a,1),8626(a,1,1))]. 8630 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(8628(a,2),4801(a,2,2)),flip(a)]. 8631 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(7885,a,8621,a),flip(a)]. 8632 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(7893(a,1),8631(a,1,2,2))]. 8633 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4751(a,1),7643(a,2,1)),flip(a)]. 8634 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(15(a,1),7669(a,1,2))]. 8635 K(x,y) * (z * L(x,y,x)) = T(x,x * y) * T(z,x). [para(7202(a,1),7703(a,1,2)),flip(a)]. 8637 K(x,y) * (z * L(x,y,x)) != u | K(x,x * y) * (z * x) = u. [para(8635(a,2),5457(a,1))]. 8640 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(220,a,5244,a(flip),b,7721,a)]. 8642 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(220,a,5949,a(flip),b,8640,a(flip)),flip(a)]. 8643 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(7723(a,1),387(a,1,2))]. 8644 (x * y) * K(z,T(x \ 1,y)) = x * (K(z,x \ 1) * y). [para(7223(a,1),7731(a,1,2))]. 8645 (K(x,y \ 1) * z) \ (y * (K(x,y \ 1) * z)) = T(y,z). [para(8644(a,1),7516(a,1,2))]. 8646 T(x,K(y,x \ 1) * z) = T(x,z). [hyper(211,a,8645,a)]. 8647 T(x,K(x \ 1,y) * z) = T(x,z). [para(5238(a,1),8646(a,1,2)),flip(a)]. 8648 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(220,a,4801,a(flip),b,8647,a)]. 8649 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3041(a,1),8647(a,1,2,1))]. 8650 K(x,K(x \ 1,y) * z) = K(x,z). [hyper(4866,a,8648,a)]. 8651 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5114(a,1),8650(a,1,2))]. 8652 K(x,y * K(z,x \ 1)) = K(x,y). [para(8079(a,1),8650(a,1,2)),flip(a)]. 8653 K(x,y * K(z,x \ 1)) \ 1 = K(y,x). [para(8652(a,2),5142(a,1,1))]. 8654 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6107(a,1),8652(a,1,2,2))]. 8655 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(8649(a,1),744(a,1,2,2)),flip(a)]. 8656 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(8651(a,1),6570(a,1,1))]. 8657 K(x * K(y,z \ 1),z) = K(x,z). [hyper(5155,a,8653,a)]. 8658 K(x * K(y \ 1,z),y) = K(x,y). [para(6172(a,1),8657(a,1,1)),flip(a)]. 8659 K(K(x,y \ 1) * z,y) = K(z,y). [para(6530(a,1),8657(a,1,1))]. 8662 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6261(a,1),8658(a,1,1,2))]. 8665 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5202(a,1),8659(a,1,1,1))]. 8666 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(5634(a,1),8654(a,1,2))]. 8667 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6192(a,1),8662(a,1,1)),flip(a)]. 8668 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5596(a,1),8665(a,1,1)),flip(a)]. 8669 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(8666(a,2),6286(a,2,2))]. 8670 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(8667(a,2),6721(a,2,2))]. 8671 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7778(a,1),7732(a,1,1,1,1,2)),flip(a)]. 8672 K(x \ 1,T(y * K(z,u \ (x \ u)),u)) = K((x * u) \ u,y). [para(7618(a,1),7735(a,1,2,1,2))]. 8673 K(x,K(y \ z,(u \ 1) \ (u \ z))) = (u \ z) \ (u \ T(z,K(x,y))). [para(8478(a,1),7902(a,2,2,2))]. 8674 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8065(a,1),8108(a,1,1)),flip(a)]. 8675 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(269,a,8674,a),flip(a)]. 8676 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(220,a,5897,a(flip),b,8675,a(flip)),flip(a)]. 8677 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4797(a,1),8676(a,1,2))]. 8678 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5497(a,1),8677(a,2,2))]. 8679 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(220,a,6488,a(flip),b,8117,a(flip)),flip(a)]. 8680 T(x * K(y,x),z) != u * K(y,x) | T(x,T(z,y)) = u. [para(8679(a,1),23(a,1))]. 8681 T(x * K(y,x),T(z,y)) = T(x,z) * K(y,x). [para(8238(a,1),8679(a,1,1)),flip(a)]. 8682 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(220,a,8391,a(flip),b,8185,a(flip))]. 8684 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4835(a,1),8682(a,1,2,2)),flip(a)]. 8685 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7368(a,1),8682(a,1,2,2))]. 8686 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(220,a,6874,a,b,8684,a(flip)),flip(a)]. 8687 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(17(a,1),8686(a,1,2))]. 8688 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(5681(a,1),8686(a,1,2))]. 8689 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(6206(a,1),8686(a,1,2))]. 8690 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7529(a,1),8686(a,1,1))]. 8691 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8685(a,1),6169(a,1,1,2)),flip(a)]. 8692 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3519(a,1),8687(a,2,2))]. 8693 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(220,a,8682,a(flip),b,8689,a)]. 8695 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(19(a,1),8693(a,1,2)),flip(a)]. 8696 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(220,a,8688,a,b,8695,a(flip)),flip(a)]. 8699 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7398(a,1),8696(a,1,2)),flip(a)]. 8701 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(220,a,6169,a(flip),b,8691,a)]. 8702 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8691(a,2),6197(a,1))]. 8703 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(220,a,6706,a(flip),b,8701,a(flip)),flip(a)]. 8704 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5238(a,1),8701(a,1,1,2)),flip(a)]. 8706 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(220,a,6702,a(flip),b,8703,a)]. 8707 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4913(a,1),8706(a,1,2))]. 8709 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8707(a,1),6854(a,1,1))]. 8710 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8709(a,1),23(a,1)),flip(a)]. 8712 K(1 / x,y) \ K(K(1 / x,y),z) != u | K(y,1 / T(x,z)) = u. [para(8215(a,2),5155(a,1))]. 8714 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(220,a,8337,a(flip),b,8312,a(flip))]. 8715 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(220,a,8155,a(flip),b,8319,a(flip)),flip(a)]. 8716 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(120(a,1),8319(a,2,2,2))]. 8717 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8293,a,8324,a),flip(a)]. 8719 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(220,a,7226,a(flip),b,8717,a(flip))]. 8720 K(x,y) * z != x * (y * K(u \ x,u)) | (y * K(u \ x,u)) * x = z. [para(8340(a,1),22(a,1)),flip(a)]. 8721 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7345(a,2),8359(a,1,2))]. 8722 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(7697(a,1),8399(a,2,2))]. 8723 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(220,a,8188,a,b,8722,a),flip(a)]. 8724 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(220,a,8347,a(flip),b,8723,a(flip))]. 8725 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(220,a,8362,a,b,8724,a(flip)),flip(a)]. 8726 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(119(a,1),8725(a,1,2,1))]. 8727 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6556(a,1),8726(a,1,2,1,1))]. 8728 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8446(a,1),8433(a,1,1,1)),flip(a)]. 8729 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8375(a,1),8728(a,2,1))]. 8730 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(220,a,4812,a,b,8729,a)]. 8731 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8494,a,8730,a),flip(a)]. 8732 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(220,a,8606,a(flip),b,8731,a(flip))]. 8733 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [hyper(220,a,3049,a(flip),b,8732,a)]. 8734 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8732(a,1),8401(a,2,2))]. 8735 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(220,a,8504,a(flip),b,8579,a)]. 8736 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(66(a,1),8735(a,1,2,2,1,2))]. 8737 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(220,a,5323,a(flip),b,8736,a(flip)),flip(a)]. 8740 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(220,a,8383,a(flip),b,8719,a(flip)),flip(a)]. 8741 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7347,a,8740,a)]. 8742 K(K(x,y) * z,L(y,u,w)) = K(z,L(y,u,w)). [hyper(220,a,6954,a(flip),b,7324,a)]. 8743 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5543(a,1),8742(a,1,1))]. 8744 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(120(a,1),8743(a,1,1,2)),flip(a)]. 8745 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7345(a,2),7349(a,1,1))]. 8746 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(45(a,2),7459(a,1,1))]. 8747 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(220,a,5491,a(flip),b,7753,a)]. 8748 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6172(a,1),8747(a,1,2)),flip(a)]. 8749 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(71,a,8025,a(flip),b,6849,a(flip))]. 8750 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7345(a,2),8041(a,1,1))]. 8751 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7367(a,2),8044(a,1,1))]. 8752 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8069(a,1),8208(a,1,2))]. 8753 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(8222,a,7818,a)]. 8754 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8360(a,1),4132(a,1,2))]. 8755 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(5779,a,8593,a),flip(a)]. 8756 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(6782,a,8656,a),flip(a)]. 8757 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(118(a,1),8756(a,1,2,1)),flip(a)]. 8758 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4242,a,8745,a),flip(a)]. 8761 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(220,a,7615,a(flip),b,8758,a(flip))]. 8762 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(63(a,1),8761(a,1,2,1,1)),flip(a)]. 8763 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(7625,a,8762,a)]. 8764 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(63(a,1),8763(a,1,2,1)),flip(a)]. 8765 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8226,a,8764,a)]. 8766 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2636(a,1),8746(a,2,1,1))]. 8767 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(8750(a,1),6850(a,1,1)),flip(a)]. 8768 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8751(a,2),6752(a,1))]. 8769 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4824(a,1),7070(a,1,1)),flip(a)]. 8770 R(x,y,x * K(z,x)) = R(x,y,x). [para(4824(a,1),8769(a,1,3)),flip(a)]. 8771 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4816(a,1),8770(a,1,3))]. 8772 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(7128(a,1),6189(a,1,2))]. 8773 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(220,a,8235,a(flip),b,7240,a)]. 8774 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7566,a,8773,a)]. 8775 (K(x,y) * z) * T(L(y,u,w),v5) = K(x,y) * (z * L(T(y,v5),u,w)). [para(43(a,2),7277(a,2,2,2))]. 8776 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7321(a,1),7326(a,1,2,2)),flip(a)]. 8777 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(220,a,5362,a(flip),b,8776,a)]. 8779 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8777,a(flip))]. 8780 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5200(a,1),7495(a,1,2)),flip(a)]. 8781 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7607(a,1),7477(a,1))]. 8782 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(220,a,7526,a(flip),b,7678,a)]. 8783 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(220,a,8311,a(flip),b,8782,a(flip)),flip(a)]. 8785 T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. [para(8783(a,1),8298(a,1))]. 8786 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(16(a,1),7696(a,1,2))]. 8787 K(x,T(y \ z,u)) != w | K(x,T((z \ y) \ 1,u)) = w. [para(7391(a,1),7700(a,1))]. 8789 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7948(a,1),7911(a,1,1))]. 8790 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8789(a,1),116(a,1,1,1)),flip(a)]. 8791 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8789(a,1),5251(a,1,2))]. 8792 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [para(6325(a,1),7958(a,2,1))]. 8793 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(6359(a,1),8209(a,2,1))]. 8794 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(8793(a,1),7555(a,1,2,2)),flip(a)]. 8795 K(x,K(y,z)) * ((K(y,z) * x) \ u) = (x * K(y,z)) \ u. [para(7875(a,1),8793(a,1,1))]. 8797 K(x,K(y,z)) * ((x * K(y,z)) \ u) = (K(y,z) * x) \ u. [hyper(7936,a,8795,a)]. 8801 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(220,a,8410,a(flip),b,8214,a(flip)),flip(a)]. 8802 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(21,a,7599,a,b,8801,a)]. 8803 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4824(a,1),8802(a,1,2,2,1))]. 8804 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(z,1 / x). [hyper(220,a,5142,a(flip),b,8216,a)]. 8805 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(8712,a,8804,a)]. 8806 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(178(a,1),8805(a,1,2,2,1))]. 8807 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(220,a,5473,a(flip),b,8806,a(flip)),flip(a)]. 8808 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(220,a,8249,a(flip),b,8254,a(flip)),flip(a)]. 8809 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(220,a,4214,a(flip),b,8808,a)]. 8811 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(220,a,4440,a(flip),b,8809,a)]. 8812 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ 1,x). [hyper(220,a,7359,a(flip),b,8277,a)]. 8814 K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). [para(8812(a,1),17(a,1,2))]. 8815 K(x,y \ K(y,z)) * K(y \ 1,x) = K(x,K(z,y \ 1)). [hyper(220,a,7873,a,b,8814,a)]. 8816 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(2126,a,8815,a)]. 8817 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8816(a,1),5684(a,1,1))]. 8818 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(66(a,1),8333(a,1,1,2)),flip(a)]. 8819 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(7419(a,1),8818(a,2,1))]. 8820 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5283(a,1),8819(a,1,2))]. 8821 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(220,a,6210,a(flip),b,8820,a(flip)),flip(a)]. 8822 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3038(a,2),8821(a,1,2,2))]. 8823 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(6038(a,1),8822(a,1,2,2))]. 8824 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(220,a,8822,a(flip),b,8823,a(flip))]. 8825 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(220,a,8807,a(flip),b,8824,a(flip))]. 8826 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(220,a,7366,a(flip),b,8825,a(flip))]. 8827 L(x,K(y,K(z,u)),y / K(w,u)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7875(a,1),8370(a,1,2))]. 8828 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(8379,a,8380,a),flip(a)]. 8829 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5359(a,1),8828(a,1,1,1))]. 8830 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7875(a,1),8423(a,1,1,1))]. 8831 K(x,y \ (z * x)) * K(x,K(u,z \ y)) = K(x,T(y \ (z * x),u)). [hyper(220,a,7711,a(flip),b,8580,a)]. 8832 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4753,a,8633,a),flip(a)]. 8833 T(1 / x,K(y \ z,(u \ 1) \ (u \ z))) \ 1 = x * ((u \ z) \ (u \ T(z,K(x \ 1,y)))). [para(8673(a,1),7940(a,2,2))]. 8835 (K(x,y) * z) * L(T(y,u),w,v5) = K(x,y) * (z * L(T(y,u),w,v5)). [para(43(a,2),8775(a,1,2))]. 8836 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [hyper(220,a,8317,a(flip),b,8792,a)]. 8837 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [hyper(7983,a,8836,a)]. 8838 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(6107(a,1),8837(a,1,2))]. 8839 L(x,K(y,K(z,u)),y / K(w,u)) = x. [hyper(220,a,4022,a(flip),b,8827,a)]. 8840 K(x,T(K(y,K(z,u)) \ w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(8839(a,1),8130(a,1,2,1))]. 8841 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8407(a,1),8830(a,1,1))]. 8842 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7875(a,1),8841(a,2,1))]. 8843 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7873(a,1),8842(a,2,2))]. 8844 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(20,a,7920,a,b,8831,a),flip(a)]. 8845 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(8484,a,8844,a)]. 8846 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(220,a,8451,a,b,8844,a)]. 8847 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(19(a,1),8845(a,1,2,2,1)),flip(a)]. 8848 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(7879,a,8846,a)]. 8849 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(8846(a,1),8453(a,1,2)),flip(a)]. 8850 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(220,a,8194,a(flip),b,8847,a(flip)),flip(a)]. 8851 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(220,a,7873,a,b,8848,a)]. 8852 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8484,a,8850,a)]. 8853 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8850(a,1),7850(a,1,2))]. 8854 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1327(a,1),8851(a,1,2,2))]. 8855 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8006,a,8853,a),flip(a)]. 8856 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(16(a,1),8855(a,1,2,2,1)),flip(a)]. 8857 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),8856(a,1,2,2)),flip(a)]. 8858 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(537(a,1),8857(a,1,2,2))]. 8859 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(220,a,7845,a(flip),b,8849,a)]. 8860 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8542,a,8859,a)]. 8861 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(19(a,1),8860(a,1,2,2)),flip(a)]. 8862 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(8861(a,1),4802(a,1,2,1))]. 8863 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(8854(a,2),8484(a,1))]. 8864 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(7748(a,1),7270(a,1,1))]. 8865 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7311(a,1),8864(a,1,2)),flip(a)]. 8867 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(220,a,5065,a(flip),b,8865,a)]. 8869 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5114(a,1),8867(a,1,2))]. 8870 L(x,T(y,K(x,z)),x) = L(x,y,x). [para(7877(a,1),8867(a,1,2))]. 8871 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(220,a,7058,a(flip),b,8870,a(flip)),flip(a)]. 8873 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(120(a,1),8871(a,1,2)),flip(a)]. 8874 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(220,a,8869,a(flip),b,8873,a)]. 8876 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(220,a,6975,a,b,8874,a(flip)),flip(a)]. 8878 K(x,y) * (z * L(T(y,z),u,w)) = L(y,u,w) * (K(x,y) * z). [hyper(7318,a,8835,a),flip(a)]. 8879 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(172(a,1),8878(a,1,2)),flip(a)]. 8880 (L(x,y,z) * (K(u,x) * w)) \ ((L(x,y,z) * w) * K(u,x)) = K(L(x,y,z) * w,K(u,x)). [para(8879(a,2),29(a,2,1)),flip(a)]. 8881 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(7632,a,8672,a),flip(a)]. 8882 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(8881(a,1),4969(a,2,2,2)),flip(a)]. 8883 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4970,a,8882,a),flip(a)]. 8884 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(8882(a,1),4970(a,1))]. 8885 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(220,a,6493,a,b,8883,a(flip)),flip(a)]. 8886 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8885(a,1),8537(a,1,2))]. 8887 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(7634(a,2),8884(a,1))]. 8888 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(8887,a,8346,a),flip(a)]. 8889 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(220,a,5190,a(flip),b,8888,a(flip)),flip(a)]. 8893 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3519(a,2),8107(a,1,1))]. 8894 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8066(a,1),8110(a,1,1,1,2))]. 8895 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(43(a,2),8894(a,2,2))]. 8896 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7218(a,1),8895(a,1,1,1,2))]. 8897 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(220,a,7850,a,b,8128,a),flip(a)]. 8898 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7527(a,1),8767(a,1,1))]. 8901 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(220,a,8628,a(flip),b,8893,a(flip)),flip(a)]. 8902 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5269(a,1),8893(a,2,2))]. 8903 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(8893(a,1),8446(a,2,2))]. 8904 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(220,a,8895,a(flip),b,8896,a(flip))]. 8905 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(17(a,1),8904(a,1,2,1,2)),flip(a)]. 8906 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(43(a,1),8905(a,1,2))]. 8907 K(x,T(L(y,z,u),w \ y)) = K(x,L(T(y,w),z,u)). [hyper(8540,a,8906,a)]. 8908 K(x,L(T(y,z \ y),u,w)) = K(x,L(T(y,z),u,w)). [para(43(a,2),8907(a,1,2))]. 8909 K(x,L(T(y * z,z),u,w)) = K(x,L(T(y * z,y),u,w)). [para(16(a,1),8908(a,1,2,1,2))]. 8910 K(L(T(x * y,y),z,u),w) = (v5 * K(w,L(T(x * y,x),z,u))) \ v5. [para(8909(a,1),6169(a,1,1,2)),flip(a)]. 8911 K(L(T(x * y,y),z,u),w) = K(L(T(x * y,x),z,u),w). [hyper(220,a,6169,a(flip),b,8910,a)]. 8912 K(L(T(x * y,y),z,u),w) = K(L(x * y,z,u),T(w,x)). [hyper(220,a,7428,a(flip),b,8911,a)]. 8913 K(L(x * y,z,u),T(w,y)) = K(L(x * y,z,u),T(w,x)). [hyper(7509,a,8912,a)]. 8914 K(L(x * (x \ y),z,u),T(w,x)) = K(L(y,z,u),T(w,x \ y)). [para(17(a,1),8913(a,1,1,1)),flip(a)]. 8915 K(L(x,y,z),T(u,w \ x)) = K(L(x,y,z),T(u,w)). [para(17(a,1),8914(a,1,1,1)),flip(a)]. 8916 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(8540,a,8915,a)]. 8917 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(220,a,7437,a,b,8916,a(flip)),flip(a)]. 8918 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8917(a,1),5684(a,1,1,2)),flip(a)]. 8919 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(220,a,7446,a(flip),b,8918,a)]. 8920 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(43(a,2),8919(a,2,2))]. 8921 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4109(a,2),8920(a,1,2,1)),flip(a)]. 8922 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(220,a,8750,a(flip),b,8898,a(flip))]. 8923 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6665(a,2),8922(a,1,1))]. 8924 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(5155,a,8923,a)]. 8925 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(220,a,6665,a,b,8924,a),flip(a)]. 8926 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5756(a,1),7302(a,1,1,2))]. 8927 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(8926(a,2),6871(a,1,1))]. 8928 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8141(a,1),7381(a,1,2,1,2))]. 8929 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1055(a,1),7493(a,1,2)),flip(a)]. 8932 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8476,a,8483,a)]. 8933 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(220,a,8475,a(flip),b,8932,a)]. 8934 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(438(a,2),8933(a,1,2,2))]. 8935 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7873(a,1),8817(a,1,1))]. 8936 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8248(a,1),8829(a,2,1,2))]. 8937 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5774(a,1),8935(a,1,2))]. 8938 K(x,K(y,z \ 1)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [hyper(7937,a,8937,a)]. 8939 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8441(a,1),8938(a,1,1))]. 8940 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8604,a,8939,a)]. 8941 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(220,a,5487,a(flip),b,7286,a(flip))]. 8942 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(8941(a,1),8585(a,1,2))]. 8943 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(220,a,5487,a(flip),b,7289,a(flip))]. 8944 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(220,a,8803,a(flip),b,7797,a(flip)),flip(a)]. 8946 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8944,a(flip))]. 8947 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8238(a,1),8946(a,1,2))]. 8948 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(220,a,5488,a(flip),b,7800,a)]. 8949 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(220,a,5489,a(flip),b,7801,a)]. 8950 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4883(a,1),8949(a,1,1)),flip(a)]. 8951 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7967(a,1),8276(a,1,1,3))]. 8952 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5242(a,1),8951(a,2,2))]. 8953 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7941,a,8562,a)]. 8954 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7780(a,1),8779(a,1,1,2))]. 8955 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(220,a,6740,a(flip),b,8954,a(flip))]. 8957 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(220,a,218,a(flip),b,8790,a)]. 8958 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(220,a,4791,a,b,8957,a)]. 8960 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(220,a,7873,a,b,8958,a)]. 8961 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(8953(a,1),7941(a,1))]. 8962 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(220,a,1550,a(flip),b,4705,a)]. 8963 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(220,a,4210,a(flip),b,8962,a)]. 8964 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7587(a,1),8963(a,1,2))]. 8965 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(8964(a,1),617(a,1,2))]. 8966 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5194(a,1),4900(a,2,1))]. 8967 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4824(a,1),8966(a,1,1,1))]. 8968 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(8967(a,1),66(a,1,1))]. 8969 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4582(a,1),8968(a,1,1,2))]. 8970 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5622(a,1),5166(a,1,2,1))]. 8971 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(7637,a,8970,a)]. 8972 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7345(a,2),8971(a,1,2,1))]. 8973 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5238(a,1),5258(a,2,2))]. 8974 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(220,a,16,a(flip),b,8973,a)]. 8975 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(8973(a,2),209(a,1))]. 8978 L(x,y,K(x,z)) = x. [hyper(220,a,7272,a(flip),b,8974,a(flip)),flip(a)]. 8979 (K(R(x,y,x),z) * y) \ (K(R(x,y,x),z) * T(x * y,x)) = R(x,y,x). [hyper(220,a,4577,a,b,8978,a(flip)),flip(a)]. 8981 (K(x,y) * z) * x = K(x,y) * (z * x). [para(8978(a,1),103(a,1,2))]. 8984 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(8978(a,1),393(a,1,2,1))]. 8985 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(8978(a,1),394(a,1,2,1))]. 8988 L(K(x,y),z,K(y,u)) = K(x,y). [para(8978(a,1),6587(a,1,2)),flip(a)]. 8991 R(K(x,y),z,x) = K(x,y). [hyper(4688,a,8981,a)]. 8992 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(220,a,5064,a(flip),b,8981,a)]. 8993 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(160,a,8981,a,b,5351,a)]. 8995 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(8981(a,1),322(a,1,1))]. 8996 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5229(a,1),8981(a,1,1))]. 8997 (x * (K(x,y) * (z * x))) \ ((T(x,y) * z) * x) = a(x,K(x,y) * z,x). [para(8981(a,1),5070(a,1,1,2))]. 8998 K(x,R(y,z,x)) = K(x,y). [hyper(220,a,8693,a(flip),b,8991,a(flip)),flip(a)]. 8999 K(R(x,y,x),z) = K(x,z). [hyper(220,a,8626,a(flip),b,8991,a(flip)),flip(a)]. 9000 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(220,a,6863,a(flip),b,8991,a(flip)),flip(a)]. 9002 T(x,R(y,z,x)) = x * K(x,y). [para(8998(a,1),4801(a,2,2))]. 9003 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(220,a,7830,a(flip),b,8999,a)]. 9004 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(8999(a,1),4801(a,2,2)),flip(a)]. 9005 x * K(R(x,y,x),z) = T(x,z). [para(8999(a,2),4801(a,2,2)),flip(a)]. 9008 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8999(a,1),5133(a,1,1))]. 9010 T(x,R(y,z,x)) = T(x,y). [hyper(220,a,4801,a,b,9002,a)]. 9017 T(x,(y * x) / z) = T(x,y / (z / x)). [para(439(a,1),9010(a,1,2))]. 9018 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(651(a,1),9010(a,1,2))]. 9019 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(653(a,1),9010(a,1,2))]. 9023 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(71,a,9005,a(flip),b,6790,a),flip(a)]. 9025 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(160,a,8992,a,b,4818,a)]. 9027 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4821(a,2),8992(a,1,1))]. 9028 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(220,a,7535,a(flip),b,9000,a)]. 9029 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(220,a,45,a,b,9004,a)]. 9030 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(220,a,7310,a(flip),b,9017,a)]. 9031 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6073,a,9025,a),flip(a)]. 9032 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6071,a,9025,a)]. 9034 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(17(a,1),9025(a,1,1)),flip(a)]. 9035 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(43(a,2),9025(a,2,2))]. 9038 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(71,a,9029,a(flip),b,5085,a)]. 9041 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9032(a,1),1508(a,1,1)),flip(a)]. 9042 K(x,(y * K(z,x)) \ u) = (y * T(y \ u,x)) \ u. [para(9032(a,1),5733(a,1,1,2)),flip(a)]. 9043 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9032(a,1),6074(a,1,1)),flip(a)]. 9044 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(220,a,4809,a,b,9034,a(flip)),flip(a)]. 9050 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6244,a,9043,a)]. 9051 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(220,a,6155,a,b,9043,a),flip(a)]. 9054 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(9043(a,2),5072(a,1,2))]. 9055 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(9043(a,2),7335(a,1,2))]. 9056 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(160,a,9027,a,b,896,a)]. 9058 T(x,y) * (x \ R(x,z,x)) != u | R(T(x,y),z,x) = u. [para(9038(a,1),208(a,1,2)),flip(b)]. 9059 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5130(a,1),9051(a,1,1,1)),flip(a)]. 9060 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(220,a,8353,a(flip),b,9018,a)]. 9061 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7564,a,9019,a)]. 9062 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(120(a,1),9061(a,1,2)),flip(a)]. 9063 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(220,a,7322,a(flip),b,9062,a(flip)),flip(a)]. 9064 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9062(a,1),4836(a,1,1,1))]. 9065 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(220,a,5717,a(flip),b,9042,a)]. 9067 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(9042(a,2),5740(a,1))]. 9068 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(9065(a,1),4801(a,2,2))]. 9070 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5765(a,1),9065(a,1,2,1,2))]. 9071 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6192(a,1),9065(a,1,2,1)),flip(a)]. 9072 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(6530(a,1),9065(a,1,2,1))]. 9073 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7398(a,1),9065(a,1,2,1)),flip(a)]. 9074 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(220,a,7087,a(flip),b,9072,a(flip)),flip(a)]. 9075 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(220,a,6582,a(flip),b,9073,a(flip))]. 9076 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(27(a,2),9073(a,1,2)),flip(a)]. 9077 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7512,a,9075,a),flip(a)]. 9078 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(120(a,1),9075(a,1,2,2)),flip(a)]. 9080 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4853(a,1),9074(a,1,2,2)),flip(a)]. 9081 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4978(a,1),9074(a,1,2,2)),flip(a)]. 9082 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5062(a,1),9074(a,1,2,2)),flip(a)]. 9084 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9074(a,1),6153(a,1,2,2)),flip(a)]. 9085 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(220,a,8160,a(flip),b,9077,a)]. 9086 K(x,(y * z) \ (z * x)) = K(x,T(y \ x,z)). [hyper(220,a,6577,a,b,9077,a(flip)),flip(a)]. 9087 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(220,a,6580,a(flip),b,9077,a(flip))]. 9089 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(220,a,7001,a,b,9080,a),flip(a)]. 9090 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(220,a,8762,a(flip),b,9080,a)]. 9091 K(x,y \ (z * x)) != u | K(x,(y / x) \ z) = u. [para(9080(a,2),7625(a,1))]. 9092 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(9081(a,1),4801(a,2,2))]. 9093 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(9081(a,1),8851(a,1,2)),flip(a)]. 9095 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(16(a,1),9089(a,1,2)),flip(a)]. 9096 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9089(a,1),6570(a,1,1))]. 9098 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(220,a,4801,a,b,9068,a)]. 9100 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6172(a,1),9098(a,1,2,1)),flip(a)]. 9101 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6949(a,1),9100(a,1,2,1)),flip(a)]. 9102 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(220,a,8613,a,b,9082,a(flip)),flip(a)]. 9104 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6187(a,1),9085(a,1,2,1))]. 9105 K(x,T(y \ x,y \ z)) = K(x,z \ ((y \ z) * x)). [para(17(a,1),9086(a,1,2,1)),flip(a)]. 9106 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(220,a,4801,a,b,9092,a)]. 9107 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(16(a,1),9106(a,1,2,2,1))]. 9108 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(9106(a,1),4836(a,1,1,1)),flip(a)]. 9109 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [hyper(220,a,9063,a,b,9107,a(flip)),flip(a)]. 9110 T(x,(x * y) \ ((y * z) * x)) = T(x,L(z,y,x)). [para(31(a,2),9107(a,2,2))]. 9116 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(7674(a,1),9067(a,1,2,1))]. 9117 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(103(a,1),9070(a,1,2,1))]. 9118 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = T(K(x,y \ v5),v6). [para(9070(a,1),7345(a,2,1))]. 9119 T(x,y \ (x \ ((y * z) * x))) = T(x,L(z,y,x)). [hyper(7115,a,9110,a)]. 9120 T(x,y \ T(y * z,x)) = T(x,L(z,y,x)). [para(35(a,2),9119(a,1,2,2))]. 9121 T(x,L(y,z,x)) = T(x,z \ (z * y)). [hyper(220,a,7307,a(flip),b,9120,a(flip))]. 9122 T(x,L(y,z,x)) = T(x,y). [para(16(a,1),9121(a,2,2))]. 9123 T(1 / x,(1 / x) * y) = T(1 / x,x \ y). [para(401(a,1),9122(a,1,2))]. 9124 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [hyper(220,a,4439,a(flip),b,9123,a(flip)),flip(a)]. 9125 T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(9124(a,1),1835(a,1,1))]. 9126 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(16(a,1),9056(a,1,1,2)),flip(a)]. 9127 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(220,a,7108,a(flip),b,9071,a(flip))]. 9128 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(220,a,8187,a(flip),b,9078,a(flip))]. 9129 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(220,a,9090,a(flip),b,9105,a)]. 9130 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(7398(a,1),9117(a,1,2,1,2)),flip(a)]. 9131 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1668(a,1),9126(a,1,2)),flip(a)]. 9132 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(16(a,1),9127(a,1,2,2))]. 9133 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(220,a,8765,a(flip),b,9128,a(flip))]. 9134 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9080,a,b,9132,a)]. 9135 (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). [para(9132(a,1),6153(a,1,2,2))]. 9136 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(66(a,1),9133(a,2,2))]. 9137 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,9071,a,b,9134,a(flip)),flip(a)]. 9138 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(15(a,1),9134(a,2,2,1))]. 9139 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4815(a,1),9134(a,1,2,1)),flip(a)]. 9140 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(220,a,8757,a,b,9138,a(flip)),flip(a)]. 9141 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9137(a,1),6570(a,1,1))]. 9143 L(x,y,K(z,z \ 1)) != u | u = x. [para(3555(a,1),8975(a,1))]. 9145 L(x,y,K(x,z)) != u | u = x. [para(7272(a,1),8975(a,1))]. 9146 L(x,L(y,z,K(u,u \ 1)),K(u,u \ 1) * z) != w | L(x,y,z) = w. [para(4334(a,1),9143(a,1)),flip(b)]. 9151 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4688,a,8984,a)]. 9152 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4853(a,1),8984(a,1,1)),flip(a)]. 9153 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(8984(a,1),5070(a,1,1,2))]. 9154 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(220,a,8693,a(flip),b,9151,a(flip)),flip(a)]. 9155 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(220,a,8626,a(flip),b,9151,a(flip)),flip(a)]. 9156 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(220,a,6863,a(flip),b,9151,a(flip)),flip(a)]. 9157 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(653(a,1),9154(a,1,2))]. 9158 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(7706,a,9155,a),flip(a)]. 9159 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9155(a,1),4812(a,2,1)),flip(a)]. 9160 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9155(a,1),5281(a,1,1,1)),flip(a)]. 9161 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(19(a,1),9158(a,1,2,2)),flip(a)]. 9162 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(220,a,8300,a(flip),b,9161,a(flip)),flip(a)]. 9164 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(16(a,1),9162(a,1,2,2)),flip(a)]. 9165 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(139(a,1),9162(a,1,2,2)),flip(a)]. 9166 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(220,a,7850,a,b,9164,a)]. 9167 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(220,a,7663,a,b,9165,a(flip)),flip(a)]. 9168 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(120(a,1),9167(a,1,2)),flip(a)]. 9169 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8009,a,9166,a)]. 9170 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9166(a,2),8006(a,1))]. 9171 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),9169(a,1,2,2)),flip(a)]. 9172 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(114(a,1),9169(a,1,2,2))]. 9173 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8484,a,9171,a)]. 9174 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(66(a,1),9173(a,1,2,2)),flip(a)]. 9175 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8534,a,9174,a),flip(a)]. 9176 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7879,a,9172,a)]. 9177 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9172(a,1),7919(a,1,1))]. 9178 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4688,a,8985,a)]. 9179 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(220,a,8626,a(flip),b,9178,a(flip)),flip(a)]. 9180 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(220,a,8929,a(flip),b,9035,a)]. 9182 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9044(a,2),1507(a,2,1,2))]. 9183 T(x,y \ (K(x,z) * u)) = T(x,y \ u). [hyper(220,a,6153,a(flip),b,9084,a)]. 9184 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9084(a,2),6213(a,1))]. 9185 T(x,y \ T(x,z)) = T(x,y \ x). [para(4812(a,2),9183(a,1,2,2))]. 9187 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5596(a,1),9183(a,1,2,2)),flip(a)]. 9188 T(x,T(x,y) / z) = T(x,z \ x). [hyper(220,a,7225,a,b,9185,a(flip)),flip(a)]. 9190 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5115(a,1),9184(a,1,2))]. 9191 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(9190,a,7116,a),flip(a)]. 9192 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9191(a,1,2))]. 9193 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9187(a,1),4836(a,1,1,1))]. 9195 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1651(a,2),9152(a,1,2))]. 9196 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(220,a,7544,a(flip),b,9156,a)]. 9197 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,45,a,b,9159,a)]. 9198 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8174,a,9177,a),flip(a)]. 9199 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(17(a,1),9198(a,1,2,2,1)),flip(a)]. 9200 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7513,a,9199,a),flip(a)]. 9201 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(19(a,1),9200(a,1,2,2)),flip(a)]. 9202 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9200(a,1),8044(a,1,1,1))]. 9203 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(71,a,9197,a(flip),b,4189,a),flip(a)]. 9204 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9197(a,1),8996(a,1,1,2)),flip(a)]. 9205 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(537(a,1),9076(a,1,2))]. 9206 K(x,a(K(x,y),z,u)) = 1. [hyper(220,a,5475,a(flip),b,9205,a(flip))]. 9208 T(x,a(K(x,y),z,u)) = x. [hyper(40,a,9206,a)]. 9209 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(38,a,9208,a)]. 9210 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9208(a,1),41(a,1,1)),flip(a)]. 9211 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9208(a,1),118(a,1,2))]. 9212 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9208(a,1),8078(a,1,1,1))]. 9213 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9209(a,1),8078(a,1,1,1))]. 9214 K(x,T((y * L(K(z,x),u,w)) \ v5,v6)) = K(x,T(y \ v5,v6)). [hyper(220,a,7345,a,b,9118,a)]. 9215 K(x,T((y * (z * K(x,u))) \ w,v5)) = K(x,T((y * z) \ w,v5)). [para(6539(a,1),9214(a,1,2,1,1)),flip(a)]. 9216 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(220,a,344,a(flip),b,9041,a)]. 9220 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(220,a,6941,a(flip),b,9104,a)]. 9222 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(220,a,6579,a(flip),b,9220,a(flip)),flip(a)]. 9223 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4822(a,1),9222(a,1,2,2))]. 9224 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(63(a,1),9223(a,1,2,2,2))]. 9225 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9224(a,1),6597(a,1))]. 9227 K(x,T((y * z) \ u,y * z)) = K(x,u / (y * (z * K(x,w)))). [hyper(220,a,8127,a(flip),b,9215,a(flip))]. 9229 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [hyper(220,a,8082,a(flip),b,9227,a(flip))]. 9230 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(4835(a,1),9229(a,1,2,2,2)),flip(a)]. 9231 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7401(a,1),9229(a,1,2,2)),flip(a)]. 9232 K(x,y / (z * (T(u,x) \ w))) = K(x,y / (z * (u \ w))). [para(7387(a,1),9229(a,1,2,2,2))]. 9233 K(x,y / (z * x)) = K(x,y / (x * z)). [para(4853(a,1),9231(a,1,2,2))]. 9234 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5001(a,1),9231(a,1,2,2)),flip(a)]. 9235 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(5238(a,1),9231(a,1,2,2)),flip(a)]. 9236 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6705(a,1),9231(a,1,2,2))]. 9237 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(220,a,8642,a(flip),b,9233,a)]. 9238 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(115(a,2),9233(a,2,2)),flip(a)]. 9239 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(33(a,2),9235(a,1,2)),flip(a)]. 9240 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),9237(a,1,2,2,1)),flip(a)]. 9241 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4209(a,1),9237(a,1,2,2,1))]. 9242 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(220,a,4992,a(flip),b,9238,a(flip)),flip(a)]. 9243 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(421(a,1),9236(a,1,2))]. 9244 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4853(a,1),9236(a,1,2,2,1))]. 9245 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(4976(a,1),9236(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(5238(a,1),9236(a,1,2,2,1)),flip(a)]. 9247 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(18(a,1),9239(a,1,2)),flip(a)]. 9248 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(220,a,7534,a(flip),b,9247,a)]. 9251 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),9248(a,1,2))]. 9252 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(6173(a,1),9234(a,1,2)),flip(a)]. 9253 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(220,a,5792,a(flip),b,9252,a(flip))]. 9254 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(220,a,9071,a,b,9096,a)]. 9255 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(220,a,9134,a(flip),b,9096,a)]. 9256 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1752(a,2),9254(a,2,2,1,2))]. 9257 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(220,a,7711,a(flip),b,9087,a(flip)),flip(a)]. 9258 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(220,a,4117,a(flip),b,9131,a)]. 9259 T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). [hyper(6213,a,9135,a),flip(a)]. 9260 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(15(a,1),9259(a,2,2,1))]. 9261 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5281(a,2),9139(a,1,2,1,1))]. 9262 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9240,a(flip),b,9241,a)]. 9263 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(220,a,9242,a,b,9262,a(flip)),flip(a)]. 9264 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(66(a,1),9263(a,2,2,2,1))]. 9265 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(54(a,1),9257(a,1,2,1))]. 9266 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(220,a,9090,a(flip),b,9265,a),flip(a)]. 9267 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(220,a,7711,a(flip),b,9266,a(flip)),flip(a)]. 9268 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(54(a,1),9267(a,1,2,1)),flip(a)]. 9269 (K(x,y) * z) \ (K(R(x,z,x),y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),8979(a,1,1,1))]. 9270 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [para(8999(a,1),9269(a,1,2,1))]. 9273 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(9025(a,2),9270(a,1,2))]. 9274 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4875(a,1),9273(a,1,2,1))]. 9275 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(220,a,5074,a(flip),b,9274,a(flip)),flip(a)]. 9277 R(x,T(y,x),x) = R(x,y,x). [para(4844(a,1),9275(a,1,2)),flip(a)]. 9278 (T(x,y) * (z * x)) \ ((T(x,y) * z) * x) = a(x,K(x,y) * z,x). [para(4818(a,1),8997(a,1,1))]. 9279 a(x,K(x,y) * z,x) != u | a(T(x,y),z,x) = u. [para(9278(a,1),597(a,1))]. 9280 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,9064,a),flip(a)]. 9282 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(220,a,4836,a(flip),b,9108,a)]. 9283 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(16(a,1),9282(a,1,1,2,1))]. 9284 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8035(a,1),9202(a,1,1)),flip(a)]. 9285 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9284(a,1),19(a,1,1))]. 9287 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(16(a,1),9285(a,1,1,1,1))]. 9288 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(8995,a,7155,a)]. 9289 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8034(a,1),9288(a,1,3))]. 9290 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6560,a,9289,a)]. 9292 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9290(a,1),1861(a,1,1,2))]. 9293 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9290(a,1),2342(a,1,1))]. 9296 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(220,a,8993,a(flip),b,9180,a(flip)),flip(a)]. 9297 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(16(a,1),9258(a,1,1,2,1))]. 9298 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(220,a,5336,a,b,9261,a(flip)),flip(a)]. 9299 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(220,a,9255,a(flip),b,9141,a(flip))]. 9300 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(220,a,9161,a(flip),b,9157,a(flip)),flip(a)]. 9302 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(120(a,1),9300(a,1,2)),flip(a)]. 9303 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(220,a,7508,a(flip),b,9302,a(flip)),flip(a)]. 9304 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(220,a,7113,a(flip),b,9303,a(flip)),flip(a)]. 9305 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(16(a,1),9287(a,2,2,1,1))]. 9306 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,9305,a)]. 9307 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9305(a,1),272(a,1,1)),flip(b)]. 9309 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(118(a,2),9306(a,1,2))]. 9310 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(7171(a,2),9309(a,1,1))]. 9311 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9310(a,1),429(a,1))]. 9312 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5277(a,1),5286(a,1,1,2,1))]. 9313 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(87,a,9312,a)]. 9314 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(9313(a,2),63(a,1,2))]. 9315 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(9314(a,1),7588(a,1,1,1)),flip(a)]. 9316 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(173(a,1),5288(a,1,2)),flip(a)]. 9317 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5142(a,1),9316(a,1,1,2,1))]. 9318 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(172(a,1),5289(a,1,2)),flip(a)]. 9319 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5142(a,1),9318(a,1,1,2,1))]. 9320 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5229(a,1),5393(a,1,2))]. 9321 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(8618(a,1),5821(a,1,2,2,1,2))]. 9324 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(7692(a,1),5954(a,1,1,1))]. 9325 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5281(a,1),6007(a,1,2,2,1,1))]. 9326 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4815(a,1),9325(a,1,2,2,1)),flip(a)]. 9327 (x \ 1) \ (y * K(K(x,x \ 1) * y,z)) = x * T(x \ ((x \ 1) \ y),z). [hyper(220,a,2993,a(flip),b,6557,a)]. 9328 (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)) != u | y * K(K(x,x \ 1) * y,z) = u. [para(9327(a,1),208(a,1,2)),flip(b)]. 9329 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3823(a,1),6743(a,1,1))]. 9330 T(x / (y \ 1),(x / (y \ 1)) \ x) = ((x / (y \ 1)) \ T(x,y)) \ T(x,y). [hyper(5662,a,6781,a),flip(a)]. 9331 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [hyper(220,a,524,a(flip),b,9330,a(flip))]. 9333 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(9331(a,1),63(a,1,2))]. 9335 ((x \ y) / (x \ 1)) \ T(x \ y,x) = (x \ y) / ((x \ 1) \ (y / x)). [hyper(220,a,6006,a(flip),b,9333,a(flip))]. 9336 ((x / y) / (y \ 1)) \ T(x / y,y) = (y \ x) / ((y \ 1) \ (x / y)). [para(120(a,1),9333(a,1,1)),flip(a)]. 9337 (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ (x \ y). [para(120(a,1),9336(a,1,2)),flip(a)]. 9338 ((x \ y) / (x \ 1)) \ T(x \ y,x) = ((y / x) / (x \ 1)) \ (x \ y). [hyper(220,a,9335,a,b,9337,a(flip)),flip(a)]. 9339 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(220,a,891,a(flip),b,6798,a(flip)),flip(a)]. 9340 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(45(a,2),7659(a,1,2,2,2,1))]. 9342 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5765(a,1),8403(a,1,1,2))]. 9343 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4613,a,9342,a)]. 9344 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(5941(a,1),9343(a,2,1))]. 9345 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(5945,a,9344,a),flip(a)]. 9346 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(220,a,171,a(flip),b,9345,a)]. 9347 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(173(a,1),9204(a,2,1))]. 9348 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(220,a,9195,a(flip),b,9347,a(flip))]. 9349 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(220,a,6750,a(flip),b,9320,a(flip))]. 9350 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(8955(a,1),9339(a,2,2,2,1,1))]. 9351 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(16(a,1),9340(a,1,2))]. 9353 K(x,y) * ((K(y,x) * z) * T(u,z)) = L(u,K(y,x) * z,K(x,y)) * z. [para(5244(a,1),5274(a,1,1,3)),flip(a)]. 9355 (L(x,K(y,z) * u,K(z,y)) * u) * K(y,z) = T((K(y,z) * u) * T(x,u),K(y,z)). [para(9353(a,1),6190(a,1,1))]. 9356 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(15(a,1),5876(a,1,1))]. 9357 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5002,a,9356,a),flip(a)]. 9358 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1654(a,1),9357(a,1,1))]. 9359 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6908,a(flip),b,9358,a)]. 9360 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(220,a,6910,a(flip),b,9359,a(flip)),flip(a)]. 9361 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(160,a,9360,a,b,3661,a)]. 9363 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(39,a,9361,a)]. 9364 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9363(a,1),4904(a,1,1,1))]. 9365 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9364(a,1),2173(a,1,1)),flip(a)]. 9366 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3273(a,1),5925(a,1,2,1,1))]. 9367 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3041(a,1),9366(a,1,2))]. 9368 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(220,a,6862,a(flip),b,6649,a(flip))]. 9369 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1829(a,2),6748(a,1,2))]. 9370 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4341(a,1),6914(a,1,2))]. 9371 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(253,a,9370,a)]. 9372 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(220,a,4483,a(flip),b,9371,a(flip)),flip(a)]. 9373 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(9372(a,1),157(a,1,2))]. 9374 a(T(x,y),z * K(x,u),x) = a(T(x,y),z,T(x,u)). [hyper(597,a,7117,a),flip(a)]. 9375 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(7281(a,2),674(a,1))]. 9376 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7412(a,1),8095(a,2,1,2))]. 9377 K(x,y) * R(K(z,K(y,u)),w,w \ K(x,y)) = (K(u,K(z,y)) * w) * (w \ K(x,y)). [para(7875(a,2),8602(a,1,2,1))]. 9378 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7345(a,2),8655(a,2,2,1))]. 9379 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(45(a,2),8753(a,1,1,2))]. 9380 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5004,a,8862,a),flip(a)]. 9381 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(220,a,8568,a(flip),b,9380,a)]. 9382 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8595,a,9381,a)]. 9383 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(8744(a,1),9382(a,1,2))]. 9384 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(220,a,8942,a(flip),b,9383,a(flip))]. 9385 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(220,a,8577,a(flip),b,9384,a(flip))]. 9386 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7879,a,9385,a)]. 9388 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9193(a,1),5012(a,1))]. 9389 x * K(K(y,y \ 1) * x,z) = T(x,z). [hyper(9328,a,4561,a)]. 9391 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4801,a(flip),b,9389,a)]. 9396 K(x * K(y \ 1,y),z) = K(x,z). [para(2650(a,1),9391(a,1,1)),flip(a)]. 9397 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2672(a,1),9391(a,1,1)),flip(a)]. 9398 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2673(a,1),9391(a,1,1))]. 9399 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2709(a,1),9391(a,1,1)),flip(a)]. 9400 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2755(a,1),9391(a,1,1))]. 9402 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2808(a,1),9391(a,1,1))]. 9403 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2821(a,1),9391(a,1,1)),flip(a)]. 9404 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4482(a,1),9391(a,1,1))]. 9405 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4512(a,2),9391(a,1,1))]. 9409 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3019(a,2),9396(a,1,1))]. 9410 K(x * (y * K(z \ 1,z)),u) = K(x * y,u). [para(4420(a,1),9396(a,1,1))]. 9411 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4480(a,2),9396(a,1,1))]. 9412 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4531(a,2),9396(a,1,1))]. 9415 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(220,a,6728,a,b,9399,a(flip)),flip(a)]. 9416 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(220,a,6731,a(flip),b,9399,a(flip)),flip(a)]. 9417 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5281(a,1),9400(a,1,1,1,1))]. 9419 K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) != u | K(x \ y,z) = u. [para(9403(a,2),7230(a,1))]. 9420 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(220,a,5328,a,b,9404,a),flip(a)]. 9421 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(9404(a,1),6435(a,2,2))]. 9422 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(9404(a,1),6808(a,1,2))]. 9423 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2527(a,1),9405(a,1,1,2))]. 9424 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3634(a,1),9405(a,1,1))]. 9425 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(4978(a,1),9405(a,1,1,2)),flip(a)]. 9426 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3527(a,1),9410(a,1,1,2)),flip(a)]. 9427 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2527(a,1),9411(a,1,1,1))]. 9429 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2808(a,1),9411(a,1,1,1))]. 9430 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(3595(a,1),9411(a,1,1,1))]. 9431 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4519(a,1),9411(a,1,1,1))]. 9433 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(220,a,9409,a(flip),b,9415,a(flip))]. 9434 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(17(a,1),9423(a,2,1,2))]. 9435 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(220,a,7303,a(flip),b,9424,a(flip)),flip(a)]. 9436 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(220,a,7772,a(flip),b,9435,a(flip))]. 9437 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(9435(a,1),8832(a,1,1,2))]. 9438 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9436(a,1),4969(a,2,2,2))]. 9440 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(220,a,5939,a(flip),b,9429,a(flip))]. 9441 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3595(a,1),9412(a,1,1,1,2))]. 9442 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5192(a,1),9417(a,1,1,1)),flip(a)]. 9443 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(9426(a,1),9329(a,1,1,1))]. 9444 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(220,a,4969,a,b,9438,a)]. 9446 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(220,a,9092,a(flip),b,9444,a(flip))]. 9447 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4866,a,9446,a)]. 9448 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(16(a,1),9447(a,1,2,2)),flip(a)]. 9449 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(220,a,9080,a,b,9448,a(flip)),flip(a)]. 9451 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(3806(a,1),9419(a,1))]. 9453 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(6335(a,1),9451(a,1))]. 9455 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(220,a,6814,a(flip),b,9420,a(flip)),flip(a)]. 9456 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(220,a,6592,a(flip),b,9455,a(flip))]. 9457 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(220,a,6809,a,b,9456,a(flip)),flip(a)]. 9460 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(17(a,1),9440(a,2,2,2,1))]. 9462 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(9431(a,1),9421(a,2,2))]. 9463 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(220,a,9422,a(flip),b,9462,a)]. 9464 (x * y) * L((y \ (z \ 1)) * K(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5726(a,1),9369(a,1,2,1))]. 9465 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8721(a,1),9376(a,2,1))]. 9466 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(220,a,8952,a(flip),b,9465,a)]. 9467 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7412(a,1),9466(a,1,1,2))]. 9468 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8034(a,1),9467(a,1,2))]. 9469 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9212(a,2),9468(a,1,1))]. 9470 K(x,y) * K(y,K(z,R(u,w,w \ K(x,y)))) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(8556(a,1),9377(a,1,2))]. 9471 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(8940(a,1),9378(a,2,2))]. 9472 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(220,a,118,a(flip),b,9471,a)]. 9473 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7345(a,2),9472(a,1,1,2))]. 9474 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7959(a,1),9379(a,1,2))]. 9475 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8733(a,1),9474(a,1,2))]. 9476 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(9475(a,1),6740(a,1,1,2))]. 9478 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5362(a,1),9476(a,1,1))]. 9479 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(220,a,6964,a(flip),b,9478,a(flip))]. 9480 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9479(a,1),8593(a,2,1))]. 9481 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4628(a,1),4661(a,2,1))]. 9482 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9210(a,1),4892(a,1,2))]. 9484 (T(x,y) \ 1) * ((z * T(x,x \ 1)) / z) = ((z * x) / z) * (x \ K(y,x)). [para(3195(a,1),4971(a,1,2,1,2))]. 9486 (T(x,y) \ 1) * ((x \ 1) \ K(z,x)) = ((z * x) / z) * (x \ K(y,x)). [para(5366(a,1),9484(a,1,2))]. 9487 (T(x,y) \ 1) * ((x \ 1) \ K(z,x)) = K(z,x) * K(y,x). [hyper(220,a,5417,a(flip),b,9486,a)]. 9489 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4857(a,1),5128(a,2,2))]. 9490 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(9489(a,2),396(a,1))]. 9492 L(x,y,T(x,z)) = L(x,y,x). [hyper(9490,a,7272,a),flip(a)]. 9494 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(9492(a,1),43(a,2,1))]. 9497 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(220,a,43,a,b,9494,a)]. 9501 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(9497(a,1),4288(a,1))]. 9504 T(x,y) \ ((z * (T(x,y) * K(y,x))) / z) = (T(x,y) \ 1) * ((x \ 1) \ K(z,x)). [para(5366(a,1),5346(a,2,2))]. 9505 T(x,y) \ ((z * x) / z) = (T(x,y) \ 1) * ((x \ 1) \ K(z,x)). [para(4835(a,1),9504(a,1,2,1,2))]. 9506 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(220,a,9487,a(flip),b,9505,a)]. 9507 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(9506(a,1),104(a,1,2,2,1))]. 9508 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(5686(a,1),5722(a,2,1))]. 9509 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(220,a,33,a,b,9508,a)]. 9510 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(9508(a,2),429(a,1))]. 9512 R(x,y,T(L(x,z,u),w)) = R(x,y,L(x,z,u)). [hyper(220,a,7264,a(flip),b,9509,a(flip)),flip(a)]. 9514 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(157(a,1),9509(a,1,2))]. 9515 R(x,y,L(T(x,z),u,w)) = R(x,y,L(x,u,w)). [para(43(a,2),9512(a,1,3))]. 9516 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [para(9515(a,2),9179(a,1,1))]. 9517 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9516(a,1),4846(a,2,1,1))]. 9518 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(220,a,4846,a,b,9517,a)]. 9520 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(119(a,1),9510(a,1,1,3))]. 9523 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6615(a,1),9514(a,1,1))]. 9525 R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. [para(4408(a,1),9520(a,1))]. 9529 K(x,y) != z | R(K(x,y),y,u) = z. [para(6869(a,1),9525(a,1))]. 9530 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(220,a,4562,a,b,6215,a),flip(a)]. 9531 T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(8486(a,1),6417(a,1,1))]. 9532 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(8511(a,1),9531(a,1,1))]. 9533 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. [para(5512(a,1),9532(a,2,1,2))]. 9534 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). [hyper(220,a,8028,a(flip),b,9533,a)]. 9535 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). [hyper(220,a,7400,a(flip),b,9534,a)]. 9536 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [hyper(220,a,8838,a(flip),b,6651,a)]. 9537 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(9430(a,1),9536(a,1,2))]. 9538 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [hyper(6176,a,9537,a)]. 9539 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5510(a,1),9538(a,1,2))]. 9540 (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). [para(7345(a,2),9539(a,1,1,1))]. 9541 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(220,a,5033,a,b,6797,a(flip)),flip(a)]. 9542 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(9441(a,1),9541(a,1,2))]. 9543 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(4673(a,1),9542(a,2,1))]. 9544 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(4777(a,2),9543(a,2,1,1))]. 9545 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [hyper(220,a,5692,a(flip),b,9544,a)]. 9546 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [para(9545(a,1),17(a,1,2)),flip(a)]. 9547 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(119(a,1),9546(a,2,2,2))]. 9548 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3513(a,1),7300(a,1,1))]. 9549 K(x * T((y \ z) \ 1,u),y / z) = K(x * ((y \ z) \ 1),T((y \ z) \ 1,z)). [hyper(220,a,8082,a(flip),b,7804,a(flip)),flip(a)]. 9550 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(142(a,1),8282(a,1,1))]. 9552 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6173(a,1),9550(a,1,2))]. 9553 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(9367(a,1),9552(a,1,2)),flip(a)]. 9554 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(220,a,14,a(flip),b,9553,a)]. 9555 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5249,a,9554,a)]. 9556 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(8560(a,1),9555(a,1,1))]. 9557 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(220,a,7732,a(flip),b,8671,a)]. 9558 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(220,a,8342,a(flip),b,9557,a(flip))]. 9559 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(220,a,7630,a(flip),b,9243,a(flip))]. 9561 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(33(a,2),9559(a,1,2))]. 9562 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(66(a,1),9481(a,1,1,2)),flip(a)]. 9563 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3762(a,1),9530(a,1,1)),flip(a)]. 9564 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(9563(a,1),6217(a,1,1)),flip(a)]. 9565 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(9563(a,1),6218(a,1,2)),flip(a)]. 9566 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(220,a,5093,a(flip),b,9564,a)]. 9567 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(220,a,8334,a(flip),b,9566,a(flip)),flip(a)]. 9568 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(220,a,9315,a(flip),b,9565,a)]. 9569 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(220,a,5279,a(flip),b,9568,a)]. 9570 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(220,a,8332,a(flip),b,9569,a(flip)),flip(a)]. 9572 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4816(a,1),9548(a,2,1))]. 9573 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(8876(a,1),5725(a,1,1)),flip(a)]. 9574 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(6530(a,1),9573(a,1,2,2))]. 9576 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(220,a,43,a,b,9574,a)]. 9577 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5115(a,1),9576(a,1,2))]. 9578 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8251(a,2),9577(a,1,2))]. 9579 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(9501,a,9578,a)]. 9580 L((x \ ((x * K(y,z)) * (z \ 1))) / (z \ 1),z \ 1,x) = K(y,z). [hyper(220,a,2033,a(flip),b,6627,a)]. 9581 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(7976(a,1),7121(a,1,2))]. 9582 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(220,a,8014,a(flip),b,9581,a)]. 9584 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(220,a,5487,a(flip),b,7137,a(flip))]. 9585 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(118(a,1),7174(a,2,2))]. 9586 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3060(a,1),8198(a,1,2,1)),flip(a)]. 9587 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3060(a,1),9586(a,1,2)),flip(a)]. 9589 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(9587(a,1),542(a,1,1,1)),flip(a)]. 9591 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9175(a,1),8583(a,1,2))]. 9592 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7875(a,1),9591(a,1,2))]. 9594 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8526(a,1),9592(a,2,1))]. 9595 (L(x,y,z) * (K(u,x) * w)) \ (L(x,y,z) * (w * K(u,x))) = K(L(x,y,z) * w,K(u,x)). [para(7181(a,1),8880(a,1,2))]. 9596 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6847(a,1),8903(a,1,2))]. 9597 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(220,a,8560,a(flip),b,9596,a(flip)),flip(a)]. 9598 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(118(a,1),9346(a,1,1))]. 9599 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(9475(a,1),9480(a,1,2,1))]. 9600 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5114(a,1),9599(a,1,2))]. 9602 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7345(a,2),9556(a,1,2,2,1))]. 9603 K(L(x,K(y,z),L(z,u,w)),K(y,z)) = K(L(z,u,w) * x,K(y,z)). [hyper(6951,a,9595,a)]. 9604 K(x,K(L(y,K(x,z),L(z,u,w)),z)) = K(L(z,u,w) * y,K(x,z)). [hyper(7879,a,9603,a)]. 9605 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5242(a,1),9602(a,1,2))]. 9606 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(9605(a,1),23(a,1)),flip(a)]. 9607 (x \ K(x,y)) * (z * T(((x * K(y,x)) \ 1) \ 1,y)) = (1 / (x * K(y,x))) * (z * x). [para(5192(a,1),4903(a,1,1))]. 9608 (x \ K(x,y)) * (z * T((x \ 1) \ K(y,x),y)) = (1 / (x * K(y,x))) * (z * x). [para(5619(a,1),9607(a,1,2,2,1))]. 9609 (x \ K(x,y)) * (z * T(x,x \ 1)) = (1 / (x * K(y,x))) * (z * x). [para(5187(a,1),9608(a,1,2,2))]. 9610 (x \ K(x,y)) * (z * T(x,x \ 1)) = (K(x,y) / x) * (z * x). [para(5194(a,1),9609(a,2,1))]. 9612 (K(x,y) / x) * ((z * K(T(x,x \ 1),z)) * x) = (x \ K(x,y)) * (T(x,x \ 1) * z). [para(4815(a,1),9610(a,1,2)),flip(a)]. 9613 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * ((z * K(x,z)) * x). [para(3045(a,1),9612(a,1,2,1,2)),flip(a)]. 9614 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(4815(a,1),9613(a,2,2))]. 9615 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(9614(a,1),6444(a,1,2,1))]. 9616 L(K(x,L(y,z,u)),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(x,y)))). [para(103(a,1),5855(a,1,2)),flip(a)]. 9617 L(L(K(x,y),y,z),z * y,u) = L(K(x,L(y,z,u)),L(y,z,u),u * z). [hyper(220,a,390,a(flip),b,9616,a),flip(a)]. 9618 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5778(a,1),6628(a,1,1,2))]. 9619 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(220,a,581,a(flip),b,9618,a)]. 9621 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(9619(a,1),19(a,1,1))]. 9622 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5249,a,9621,a)]. 9623 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7875(a,2),9621(a,1,1))]. 9624 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5238(a,1),9622(a,1,2,2)),flip(a)]. 9625 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(220,a,7704,a(flip),b,9624,a)]. 9626 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5238(a,1),9624(a,2,2))]. 9627 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5249,a,9626,a)]. 9628 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(9627(a,1),1318(a,1,1,1,1))]. 9629 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(9625(a,1),4818(a,1,2)),flip(a)]. 9630 R(x,y,T(x,y)) * z = x * (x * (L(x,y,x) \ z)). [hyper(220,a,5959,a(flip),b,9629,a(flip)),flip(a)]. 9631 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [para(4576(a,1),9630(a,1,1)),flip(a)]. 9632 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [hyper(20,a,1326,a,b,9631,a),flip(a)]. 9634 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7875(a,2),9623(a,2,2,1))]. 9635 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(555,a,9634,a),flip(a)]. 9636 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7875(a,2),9635(a,1,2,1))]. 9637 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3103(a,1),6732(a,1,1)),flip(a)]. 9638 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(220,a,9397,a,b,9637,a)]. 9639 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(3825,a,9638,a)]. 9640 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9639(a,1),4927(a,2,2))]. 9641 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(9416(a,1),9640(a,2,2))]. 9642 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9433(a,1),9641(a,2,2))]. 9643 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(220,a,2095,a(flip),b,9642,a)]. 9644 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(63(a,1),9643(a,1,1))]. 9645 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(63(a,1),9644(a,1,2,1)),flip(a)]. 9646 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5648(a,1),9645(a,1,1))]. 9647 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(9646(a,2),1800(a,1,2))]. 9649 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(4770(a,1),7265(a,2,1))]. 9650 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(5891(a,1),8396(a,1,1,2))]. 9651 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(17(a,1),8772(a,1,2,2,1))]. 9652 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6304,a,9651,a),flip(a)]. 9654 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(9652(a,1),8341(a,1,2))]. 9655 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(119(a,1),9654(a,1,2,2))]. 9656 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(6425,a,9655,a),flip(a)]. 9657 T(1 / x,K(y \ z,(u \ 1) \ (u \ z))) \ 1 = x * ((u \ z) \ (u \ T(z,K(y,x \ 1)))). [para(7959(a,1),8833(a,2,2,2,2))]. 9658 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4582(a,1),8969(a,1,2))]. 9659 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(220,a,5480,a(flip),b,9658,a)]. 9660 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(8999(a,1),9659(a,1,1,1,1))]. 9661 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6916(a,1),9660(a,1,1))]. 9663 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(220,a,6173,a(flip),b,9649,a)]. 9664 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8012(a,1),9650(a,1,2))]. 9665 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7873(a,1),9664(a,1,2))]. 9667 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(9665(a,1),7542(a,1,2,2))]. 9668 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(220,a,7671,a(flip),b,9667,a(flip))]. 9670 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(220,a,7633,a(flip),b,9668,a)]. 9672 T(1 / x,K(y \ z,(y \ 1) \ (y \ z))) \ 1 = x * ((y \ z) \ T(y \ z,K(y,x \ 1))). [para(7064(a,1),9657(a,2,2,2))]. 9673 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(4770(a,1),9663(a,1,1,1))]. 9674 T(1 / x,K(y \ z,(y \ 1) \ (y \ z))) \ 1 = x * K(y \ z,K(y,x \ 1)). [para(4777(a,2),9672(a,2,2))]. 9676 T(1 / x,K(y \ z,(y \ 1) \ (y \ z))) \ 1 = x * K(y,K(z,x \ 1)). [para(7881(a,1),9674(a,2,2))]. 9677 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(y,K(z,x \ 1)). [hyper(220,a,8545,a(flip),b,9676,a(flip)),flip(a)]. 9678 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(x,K(y,z)). [para(8447(a,1),9677(a,2,2))]. 9679 T(x,K(y \ z,(y \ 1) \ (y \ z))) = T(x,K(y,z)). [hyper(220,a,4801,a,b,9678,a)]. 9680 T(x,K(y \ z,1 \ (y * (y \ z)))) = T(x,K(y,z)). [para(6576(a,1),9679(a,1,2))]. 9681 T(x,K(y \ z,z)) = T(x,K(y,z)). [para(123(a,1),9680(a,1,2,2))]. 9682 T(T(x,K(y,z)),y \ z) = T(x,T(y \ z,z)). [para(9681(a,1),7054(a,1,1))]. 9683 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1571(a,2),9673(a,1,1))]. 9684 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2858(a,1),9683(a,1,1,1,1,2))]. 9685 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(7737(a,1),9684(a,1,1,1))]. 9686 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(728,a,9685,a),flip(a)]. 9688 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2865(a,2),9686(a,1,1,2))]. 9689 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(6540,a,9688,a)]. 9690 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(220,a,6788,a(flip),b,9689,a(flip)),flip(a)]. 9691 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(220,a,6569,a(flip),b,9689,a(flip))]. 9692 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(220,a,7506,a,b,9690,a(flip)),flip(a)]. 9693 K(x,x \ 1) * ((y * (z * u)) \ (K(x \ 1,x) * ((y * z) * u))) = a(y,z * K(x \ 1,x),u). [para(4464(a,1),4694(a,1,2,2))]. 9694 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4521(a,2),4695(a,1,1,1,2))]. 9695 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(392(a,1),5396(a,1,2))]. 9696 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(5082(a,1),9695(a,1,2,2))]. 9697 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(87,a,9696,a),flip(a)]. 9698 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(9696(a,1),272(a,1,1)),flip(b)]. 9699 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1325(a,1),9696(a,1,1,2))]. 9700 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9696(a,1),8699(a,1,2)),flip(a)]. 9701 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(9696(a,1),8706(a,1,2)),flip(a)]. 9702 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9696(a,1),9074(a,1,2,2)),flip(a)]. 9703 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(9696(a,1),9246(a,1,2,2,1)),flip(a)]. 9704 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4972(a,1),9702(a,1,2,2,2)),flip(a)]. 9705 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(5238(a,1),9702(a,1,2,2,2)),flip(a)]. 9706 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(7484(a,1),9702(a,1,2,2,2))]. 9707 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(220,a,7618,a(flip),b,9704,a(flip))]. 9708 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(390(a,1),9705(a,1,2))]. 9709 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(9706(a,1),6169(a,1,1,2)),flip(a)]. 9710 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5249,a,9699,a),flip(a)]. 9711 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5238(a,1),9699(a,1,2,2)),flip(a)]. 9712 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8048(a,1),9699(a,1,1))]. 9713 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7484(a,1),9701(a,1,2,2))]. 9714 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(71,a,58,a(flip),b,9710,a),flip(a)]. 9715 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(71,a,9714,a,b,1240,a)]. 9717 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5952,a,9711,a)]. 9718 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7282(a,1),9711(a,2,2))]. 9719 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9717(a,1),6871(a,1,1,2)),flip(a)]. 9720 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(220,a,6169,a(flip),b,9719,a)]. 9721 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(220,a,6863,a(flip),b,9720,a(flip)),flip(a)]. 9722 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(220,a,8690,a(flip),b,9713,a(flip))]. 9724 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(220,a,8686,a(flip),b,9722,a(flip))]. 9725 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(220,a,9561,a(flip),b,9724,a(flip)),flip(a)]. 9726 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(6172(a,1),9724(a,1,2,1)),flip(a)]. 9728 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5238(a,1),9725(a,1,2,2)),flip(a)]. 9729 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7840(a,1),9726(a,1,2,1)),flip(a)]. 9730 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(468(a,1),9728(a,1,2)),flip(a)]. 9731 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(220,a,9561,a(flip),b,9729,a)]. 9732 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(9731(a,1),4801(a,2,2)),flip(a)]. 9733 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(220,a,6169,a(flip),b,9709,a)]. 9734 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(98(a,1),9733(a,1,1,2,2))]. 9735 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(1258(a,2),9733(a,1,1,2,2))]. 9736 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(163(a,1),9735(a,1,1)),flip(a)]. 9737 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(390(a,1),9734(a,2,1))]. 9738 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9736(a,1),7837(a,1,1)),flip(a)]. 9739 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4804,a,9732,a),flip(a)]. 9740 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5114(a,1),9739(a,1,2,1)),flip(a)]. 9741 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5114(a,1),9718(a,1,2)),flip(a)]. 9742 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(220,a,7872,a(flip),b,9738,a)]. 9743 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7897,a,9742,a)]. 9744 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(220,a,9386,a(flip),b,9743,a(flip))]. 9745 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(220,a,8752,a(flip),b,9744,a)]. 9747 K(x,K(y,a(z,x,u))) = 1. [para(154(a,1),9745(a,1,2,2,3))]. 9749 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(9747(a,1),7842(a,1,2)),flip(a)]. 9750 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(220,a,15,a(flip),b,9749,a)]. 9751 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(220,a,8154,a(flip),b,9750,a(flip)),flip(a)]. 9752 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(9751(a,1),118(a,1,2)),flip(a)]. 9753 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8048(a,1),9712(a,1,2,2,1))]. 9755 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(220,a,9299,a(flip),b,9707,a(flip))]. 9756 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [hyper(220,a,7086,a(flip),b,9708,a(flip))]. 9758 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(220,a,9130,a(flip),b,9756,a(flip))]. 9760 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(31(a,2),9758(a,2,2))]. 9761 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(9760(a,1),5264(a,1,2,2)),flip(a)]. 9762 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(220,a,5264,a(flip),b,9761,a)]. 9763 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4844(a,1),9762(a,1,1,2)),flip(a)]. 9764 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(220,a,7617,a,b,9755,a(flip))]. 9765 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7875(a,1),5739(a,1,2,2))]. 9766 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9449(a,1),9256(a,1,1))]. 9767 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(6782,a,9766,a),flip(a)]. 9768 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1752(a,1),9767(a,1,2,1,2))]. 9769 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(220,a,9137,a(flip),b,9768,a(flip)),flip(a)]. 9770 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(220,a,6939,a(flip),b,9769,a(flip))]. 9771 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5484(a,1),9770(a,1,2,1)),flip(a)]. 9772 (x * y) * L((y \ (z \ 1)) * K(y \ 1,z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(5578(a,1),9464(a,1,2,1,2))]. 9773 x * (y * ((y \ (z \ 1)) * K(y \ 1,z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(212,a,9772,a)]. 9774 (x * K(y \ 1,z)) * (z \ 1) = x * ((z \ 1) * K(y \ 1,z)). [para(7143(a,1),9773(a,1,2)),flip(a)]. 9775 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4847(a,1),9774(a,2,2))]. 9776 (x * K(y,z)) * (z \ 1) = x * (T(z,(y \ 1) \ 1) \ 1). [para(3041(a,1),9775(a,1,1,2))]. 9777 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(3083(a,1),9776(a,2,2,1))]. 9778 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4834(a,1),9777(a,2,2))]. 9780 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6172(a,1),9777(a,1,1)),flip(a)]. 9781 L((x \ (x * (T(y,z) \ 1))) / (y \ 1),y \ 1,x) = K(z,y). [para(9777(a,1),9580(a,1,1,1,2))]. 9782 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(220,a,6625,a(flip),b,9778,a(flip)),flip(a)]. 9783 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [hyper(72,a,19,a(flip),b,9780,a),flip(a)]. 9784 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4824(a,1),9780(a,1,2,1))]. 9785 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(9782(a,1),3422(a,1,1))]. 9786 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [hyper(220,a,6037,a(flip),b,9783,a(flip))]. 9787 L((T(x,y) \ 1) / (x \ 1),x \ 1,z) = K(y,x). [para(16(a,1),9781(a,1,1,1))]. 9789 L(K(x,y),y \ 1,z) = K(x,y). [para(5113(a,1),9787(a,1,1))]. 9791 (x * (y \ K(y,z))) * K(z,y) = x * (y \ 1). [para(9789(a,1),6542(a,1,2))]. 9792 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(506,a,9791,a)]. 9794 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4801(a,2),9792(a,1,1))]. 9795 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9794(a,2),66(a,1,1))]. 9796 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4990(a,1),9795(a,2,2))]. 9797 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(120(a,1),9796(a,1,1,1))]. 9798 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9797(a,1),6760(a,1,1))]. 9799 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4232(a,2),9798(a,1,1,2))]. 9800 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(8747(a,1),9799(a,1,1,2))]. 9801 R(x,y \ 1,K(z,y)) = x. [hyper(272,a,9785,a)]. 9804 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(220,a,4870,a(flip),b,9801,a(flip)),flip(a)]. 9805 R(x,y,K(z,y \ 1)) = x. [hyper(220,a,4432,a(flip),b,9801,a(flip)),flip(a)]. 9806 R(x,y \ z,K(u,z \ y)) = x. [para(6107(a,1),9805(a,1,3))]. 9807 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(9806(a,1),414(a,1,1))]. 9808 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4847(a,1),9804(a,1,2))]. 9809 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(9808(a,1),66(a,1,1))]. 9811 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(220,a,9333,a,b,9809,a(flip)),flip(a)]. 9812 ((x / y) / (y \ 1)) \ (y \ x) = T(y,y \ x) \ 1. [hyper(220,a,9338,a(flip),b,9809,a(flip)),flip(a)]. 9813 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(9811(a,1),4250(a,1,1)),flip(a)]. 9814 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(66(a,1),9813(a,1,1,2,1)),flip(a)]. 9815 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),T(x,y)) \ 1) \ T(x,y). [para(831(a,2),9814(a,2,1,2)),flip(a)]. 9816 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(9807(a,1),6656(a,1,2))]. 9817 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [para(9812(a,1),63(a,1,2))]. 9818 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5157(a,1),9784(a,1,1,2))]. 9819 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5376(a,1),9818(a,2,2))]. 9821 R(x,K(y \ 1,z),y) = x. [hyper(4687,a,9819,a)]. 9822 L(x \ 1,K(x,y),z) = x \ 1. [hyper(388,a,9819,a)]. 9823 R(x,y,K(y \ 1,z)) = x. [hyper(6793,a,9821,a)]. 9824 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(9823(a,1),114(a,1,1)),flip(a)]. 9825 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(9822(a,1),9473(a,1,1))]. 9826 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(9825(a,1),6054(a,1,2))]. 9828 R(K(x,y),y \ 1,z) = K(x,y). [hyper(220,a,6859,a(flip),b,9826,a(flip)),flip(a)]. 9830 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(388,a,9824,a)]. 9831 a(x,y,K(y \ 1,z)) = 1. [hyper(37,a,9830,a)]. 9832 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5464,a,9816,a),flip(a)]. 9833 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,9832,a)]. 9836 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),9833(a,1,2,1))]. 9837 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(5661,a,9836,a),flip(a)]. 9838 K(x,y * ((z * y) \ z)) = 1. [hyper(39,a,9836,a)]. 9839 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,9836,a)]. 9840 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(9836(a,1),5661(a,1))]. 9842 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(150(a,2),9839(a,1,1,2))]. 9843 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(220,a,9292,a(flip),b,9842,a(flip)),flip(a)]. 9844 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(220,a,5447,a(flip),b,9842,a(flip)),flip(a)]. 9848 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9843(a,1),1896(a,1,1))]. 9849 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (T(1 / (1 / y),x) \ 1) \ T(x,y). [para(4302(a,1),9815(a,2,1,1))]. 9850 (T(x,y) \ ((y \ ((1 / y) \ x)) * y)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(2287(a,1),9849(a,2,1))]. 9851 (T(x,y) \ ((1 / y) \ T(x,y))) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(831(a,1),9850(a,1,1,2))]. 9852 (x \ ((1 / y) \ x)) * T(x,y) = (1 / T(y,x)) \ T(x,y). [para(4363(a,1),9851(a,1,1))]. 9853 (1 / T(x,y)) \ T(y,x) = (1 / x) \ y. [hyper(4047,a,9852,a),flip(a)]. 9854 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [para(9853(a,1),63(a,1,2))]. 9855 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(9842(a,1),9854(a,2,2))]. 9856 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6547(a,1),9855(a,1,1))]. 9857 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5459,a,9600,a)]. 9858 K(x,x \ 1) * (K(x \ 1,x) * ((y * (z * u)) \ ((y * z) * u))) = a(y,z * K(x \ 1,x),u). [para(4491(a,1),9693(a,1,2))]. 9859 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4531(a,1),9694(a,1,1))]. 9860 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7345(a,2),9765(a,2,1,1))]. 9861 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(7623,a,9857,a)]. 9862 K(x,x \ 1) * (K(x \ 1,x) * a(y,z,u)) = a(y,z * K(x \ 1,x),u). [para(27(a,2),9858(a,1,2,2))]. 9863 a(x,y * K(z \ 1,z),u) = a(x,y,u). [hyper(5265,a,9862,a)]. 9864 a(x,y * K(z \ 1,z),u) != w | a(x,y,u) = w. [para(9862(a,1),2686(a,1)),flip(b)]. 9866 a(x,K(y \ 1,y) * z,u) = a(x,z,u). [para(2513(a,2),9863(a,1,2))]. 9867 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(1762(a,1),9864(a,1,2,2))]. 9869 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(27(a,2),9859(a,1,1,1))]. 9870 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6175,a,9869,a)]. 9872 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(220,a,4695,a,b,9870,a(flip)),flip(a)]. 9873 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1768(a,1),9870(a,1,3))]. 9874 a(x,y,1 / z) = a(x,y,z \ 1). [para(1784(a,1),9870(a,1,3))]. 9875 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4529(a,1),9870(a,1,3))]. 9876 a(x,y,K(z,u) \ 1) = a(x,y,K(u,z)). [para(5142(a,1),9873(a,1,3,1))]. 9877 a(x,y,K(K(z,u),w)) = a(x,y,K(u,K(w,z))). [para(7856(a,1),9876(a,1,3)),flip(a)]. 9879 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2499(a,1),9872(a,1,1,1,2,2))]. 9880 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7414(a,1),9860(a,2,1))]. 9881 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5089(a,1),5139(a,1,1))]. 9882 (x * (y * z)) \ ((x * y) * L(u * (z / u),y,x)) = L(K(u,u \ L(z,y,x)),L(z,y,x),x * y). [para(4721(a,2),5208(a,1,2,2))]. 9883 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6655(a,1),6802(a,1,2,2))]. 9884 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(8749(a,1),6855(a,1,1))]. 9885 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6850(a,1),9884(a,2,2))]. 9886 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7094(a,1),9885(a,1,1,1))]. 9887 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(9886(a,1),63(a,1,2))]. 9890 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(220,a,8754,a(flip),b,9887,a(flip)),flip(a)]. 9891 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6853(a,1),9890(a,1,1))]. 9892 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7345(a,2),9891(a,2,1))]. 9893 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8120(a,1),9892(a,2,1))]. 9894 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(220,a,4455,a(flip),b,6987,a)]. 9895 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(220,a,1313,a(flip),b,9894,a)]. 9896 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1733(a,1),9895(a,1,2))]. 9897 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4741,a(flip),b,9896,a)]. 9898 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(387(a,1),7570(a,1,2)),flip(a)]. 9899 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,K(x,y) * z)). [para(7959(a,1),8598(a,2,2))]. 9900 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(63(a,1),8928(a,1,2,1)),flip(a)]. 9902 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7345(a,2),9900(a,2,2))]. 9903 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(220,a,7443,a(flip),b,9902,a)]. 9904 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(220,a,8201,a(flip),b,9903,a(flip))]. 9906 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y,K(z,T(x,u))). [hyper(220,a,8497,a(flip),b,9904,a)]. 9907 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(4818(a,1),9153(a,1,1))]. 9908 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(597,a,9907,a),flip(a)]. 9909 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(9907(a,1),597(a,1))]. 9910 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5062(a,1),9908(a,1,2)),flip(a)]. 9911 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(9547(a,2),9253(a,2,2,2))]. 9912 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9562(a,2,2,2,1,1,2))]. 9913 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(66(a,1),9912(a,1,2))]. 9914 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(9913(a,1),9368(a,1,1))]. 9915 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6648,a,9914,a)]. 9916 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9233,a(flip),b,9915,a(flip))]. 9917 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(118(a,1),9915(a,1,2,2)),flip(a)]. 9918 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(220,a,9244,a(flip),b,9916,a(flip)),flip(a)]. 9919 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(9918(a,1),4801(a,2,2)),flip(a)]. 9920 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(9918(a,1),5264(a,1,2,2))]. 9921 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5287,a,9920,a),flip(a)]. 9922 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7621,a,9921,a),flip(a)]. 9923 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(5820(a,1),9922(a,1,1,2,2))]. 9924 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(220,a,7722,a(flip),b,9923,a)]. 9925 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(220,a,5656,a,b,9924,a(flip)),flip(a)]. 9926 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(220,a,7412,a(flip),b,9917,a)]. 9927 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(7605,a,9926,a(flip)),flip(a)]. 9928 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7503,a,9927,a)]. 9929 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(220,a,5579,a(flip),b,9771,a)]. 9930 L(K(x,x \ L(y,z,u)),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (x * (y / x)))). [para(103(a,1),9882(a,1,2)),flip(a)]. 9931 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(220,a,9670,a(flip),b,9883,a(flip)),flip(a)]. 9932 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8329(a,1),9931(a,1,2,2))]. 9933 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(220,a,7553,a(flip),b,9932,a(flip))]. 9935 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(220,a,5582,a(flip),b,9933,a(flip)),flip(a)]. 9936 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(w,u)))). [para(9935(a,2),8444(a,2,2))]. 9937 K(x,K(y,z * (u \ K(w,y)))) = K(x,K(y,z * (u \ 1))). [hyper(8477,a,9936,a),flip(a)]. 9938 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(7533(a,1),9937(a,1,2))]. 9939 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(184(a,1),9938(a,2,2,2))]. 9940 K(x,K(y,R(z,u,u \ K(w,x)))) = K(z,K(x,R(y,u,u \ 1))). [hyper(220,a,8559,a,b,9939,a(flip)),flip(a)]. 9941 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(z,R(y,u,u \ 1))). [hyper(220,a,7873,a,b,9940,a)]. 9942 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4249(a,1),9893(a,1,1))]. 9943 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(220,a,7532,a(flip),b,9911,a)]. 9945 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3216(a,1),9943(a,1,2,2))]. 9947 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6192(a,1),9945(a,1,2)),flip(a)]. 9948 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(220,a,9935,a(flip),b,9947,a)]. 9950 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(63(a,1),9929(a,2,2,1,2))]. 9951 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6107(a,1),9950(a,1,2,1,1,2,1))]. 9952 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(220,a,9298,a(flip),b,9951,a(flip))]. 9953 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8034(a,1),9942(a,1,1,2))]. 9954 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(7112,a,9953,a),flip(a)]. 9955 R(K(x,y),L(y,z,u),w) = K(x,y). [para(7179(a,1),9954(a,1,1))]. 9956 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(220,a,6709,a(flip),b,9955,a(flip)),flip(a)]. 9958 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(220,a,6387,a(flip),b,9956,a)]. 9959 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(4821(a,1),6487(a,2,2))]. 9960 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(220,a,6144,a(flip),b,9959,a)]. 9962 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(220,a,4287,a(flip),b,9960,a(flip)),flip(a)]. 9963 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(18(a,1),9628(a,1,1,1)),flip(a)]. 9965 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4798(a,1),5425(a,1,2,2,1))]. 9967 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5561(a,1),9965(a,1,2,2))]. 9968 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(206,a,9967,a)]. 9969 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(54(a,1),9968(a,2,1))]. 9970 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(71,a,2934,a(flip),b,9969,a)]. 9972 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(977(a,1),6028(a,2,1))]. 9973 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(220,a,9972,a(flip),b,6029,a(flip))]. 9974 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(977(a,1),9973(a,1,1)),flip(a)]. 9975 x * (y * (1 / (1 / (y \ (x \ (z * T(z \ (x * y),u))))))) = (x * y) * K(z \ (x * y),u). [para(2434(a,1),6333(a,2,2))]. 9976 x * (y * (1 / (1 / (y \ ((x \ z) * T((x \ z) \ y,u)))))) = (x * y) * K(z \ (x * y),u). [para(1167(a,1),9975(a,1,2,2,2,2,2))]. 9977 x * (y * (1 / (1 / K((x \ z) \ y,u)))) = (x * y) * K(z \ (x * y),u). [para(6139(a,1),9976(a,1,2,2,2,2))]. 9978 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(2434(a,1),9977(a,1,2,2)),flip(a)]. 9979 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(8610,a,9978,a)]. 9980 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(6606,a,9978,a)]. 9981 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6100,a,9978,a)]. 9982 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [hyper(388,a,9978,a)]. 9983 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(20,a,7673,a,b,9978,a),flip(a)]. 9985 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(220,a,7803,a(flip),b,9981,a)]. 9987 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = z \ R(z,(y \ x) \ 1,z). [para(9981(a,1),5970(a,1,1))]. 9990 K((x \ y) \ z,z \ (x \ y)) = K(y \ (x * z),z \ (x \ y)). [hyper(4535,a,9982,a)]. 9991 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(16(a,1),9982(a,1,1,1,1))]. 9992 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5242(a,1),9982(a,1,1,1,1))]. 9993 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(9982(a,1),7551(a,1))]. 9994 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(220,a,9425,a(flip),b,9991,a)]. 9995 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(66(a,1),9991(a,1,1,1)),flip(a)]. 9996 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),9991(a,2,1))]. 9997 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6436(a,1),9991(a,1,1))]. 9998 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7415(a,1),9991(a,1,1)),flip(a)]. 10000 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(9991(a,2),7622(a,1))]. 10001 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4026,a,9996,a)]. 10002 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1366(a,2),9996(a,2,1))]. 10003 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2770(a,1),9996(a,2,1))]. 10004 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(10001(a,1),4982(a,1,1))]. 10005 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(107(a,2),9995(a,1,1))]. 10006 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(220,a,31,a(flip),b,10005,a)]. 10007 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(220,a,8061,a(flip),b,10005,a(flip))]. 10008 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),10005(a,1,1,2)),flip(a)]. 10009 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4082(a,1),10005(a,1,1,2))]. 10010 L(K(x,y),z,K(u,x)) = K(x,y). [para(7268(a,1),10005(a,1,1)),flip(a)]. 10011 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(10005(a,1),9624(a,1,2,1)),flip(a)]. 10012 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(10010(a,1),103(a,1,2))]. 10013 K(L(x,y,z),z) = K(x,z). [hyper(7290,a,10008,a),flip(a)]. 10014 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(7178,a,10008,a),flip(a)]. 10015 K(L(x,y,x),z) = K(x,z). [hyper(7035,a,10008,a),flip(a)]. 10016 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(220,a,3041,a,b,10008,a)]. 10017 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(220,a,7770,a(flip),b,10008,a(flip))]. 10018 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(220,a,7111,a(flip),b,10008,a(flip))]. 10019 K(L(x,y,z),x \ 1) = K(x,L(x \ 1,u,w)). [hyper(220,a,5857,a(flip),b,10008,a(flip))]. 10021 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7017(a,1),10008(a,1,1)),flip(a)]. 10022 K(L(x,y,x),z) != u | K(x,z) = u. [para(10008(a,1),7035(a,1))]. 10023 K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5. [para(10008(a,1),7178(a,1))]. 10024 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10008(a,1),7315(a,1,2,2))]. 10025 K(x * K(L(y,z,u),w),y) = K(x,y). [para(10008(a,1),7754(a,1,1,2))]. 10026 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(48(a,1),10013(a,1,1))]. 10027 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(10013(a,1),5489(a,1,2,1,2)),flip(a)]. 10028 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(10013(a,1),8073(a,1,1,2)),flip(a)]. 10029 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(220,a,7489,a,b,10015,a)]. 10030 L(x,y,x) \ L(T(x,z),y,x) = K(x,z). [hyper(220,a,4802,a,b,10015,a(flip)),flip(a)]. 10032 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4134(a,1),10014(a,1,1))]. 10033 K(L(x,y,z) * u,K(w,x)) = K(w,K(u,x)). [para(10014(a,1),9604(a,1,2)),flip(a)]. 10034 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(220,a,8603,a(flip),b,10018,a(flip))]. 10035 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(8232(a,2),10022(a,1))]. 10036 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(397(a,1),10024(a,1,2))]. 10037 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(233(a,1),10025(a,1,1)),flip(a)]. 10038 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7368(a,1),10025(a,1,1))]. 10039 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),10035(a,1,2))]. 10041 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(120(a,1),10035(a,1,2))]. 10042 K(x,T(y,L(x,z,u))) != w | K(x,y) = w. [para(248(a,1),10035(a,1,1))]. 10043 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(703(a,1),10035(a,1,1))]. 10044 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7192(a,1),10035(a,1))]. 10045 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7412(a,1),10035(a,1))]. 10046 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10038(a,1),8073(a,1,1,2)),flip(a)]. 10047 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(120(a,1),10045(a,1,2,1))]. 10048 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7589(a,1),10045(a,1))]. 10051 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(10030(a,1),17(a,1,2))]. 10053 K(x,y \ L(x,z,u)) != w | K(x,L(x,z,u) / y) = w. [para(7192(a,1),10042(a,1))]. 10054 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [hyper(3074,a,10051,a)]. 10055 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(10051(a,1),5839(a,1,1)),flip(a)]. 10056 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6848(a,1),10051(a,2,1))]. 10057 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(71,a,10054,a(flip),b,4189,a),flip(a)]. 10058 K(L(x,K(y,z),u),y) = K(x,y). [hyper(220,a,7750,a(flip),b,10017,a)]. 10060 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(217(a,1),10058(a,1,1))]. 10061 K(x \ (x * y),z) != u | K(y,z) = u. [para(5478(a,1),10023(a,1,1))]. 10062 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),10061(a,1,1,2))]. 10066 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(220,a,9737,a,b,10026,a(flip)),flip(a)]. 10067 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(220,a,8073,a(flip),b,10028,a)]. 10068 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(400(a,1),10067(a,1,2,2)),flip(a)]. 10069 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(10045,a,10029,a)]. 10070 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(10029(a,1),10022(a,1))]. 10072 K(L(x,y,z) * u,K(w,x)) = K(x,K(w,u)). [hyper(220,a,7875,a(flip),b,10033,a)]. 10076 K(T(x,x \ y),((x \ 1) * y) \ z) != u | K(x,z / ((x \ 1) * y)) = u. [para(4080(a,1),10041(a,1,1))]. 10078 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(703(a,1),10044(a,1,1))]. 10079 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9164(a,1),10048(a,1))]. 10081 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(220,a,8274,a,b,10069,a)]. 10083 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(7897,a,10072,a)]. 10085 K(T(x * y,y) / x,z) = K(y,z). [hyper(10022,a,10081,a),flip(a)]. 10087 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(17(a,1),10085(a,1,1,1,1))]. 10088 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(10087(a,1),7604(a,1,1)),flip(a)]. 10089 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(220,a,7873,a,b,10083,a)]. 10090 T(K(x,y),L(y,z,u) * w) = K(y,K(x,w)) * K(x,y). [para(10083(a,1),7846(a,1,1)),flip(a)]. 10091 L(K(x,x \ 1),y,z) = K(L(x,u,w),x \ 1). [hyper(220,a,5857,a,b,10019,a),flip(a)]. 10092 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(10043,a,8858,a),flip(a)]. 10094 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(10092(a,1),4801(a,2,2))]. 10095 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(220,a,4801,a,b,10094,a)]. 10096 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10095(a,1),8349(a,1,1,1))]. 10097 L(x,y,z) \ K(L(x,u,w),x \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(71,a,10091,a(flip),b,2348,a)]. 10099 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(220,a,9402,a(flip),b,10003,a)]. 10100 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(8226,a,9983,a),flip(a)]. 10101 K(T(x \ y,y \ x) \ z,T((x \ y) \ 1,u)) = K(1 \ (((x \ y) \ 1) * z),T((x \ y) \ 1,u)). [para(2407(a,2),9983(a,1,1,1))]. 10103 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(8272,a,10100,a),flip(a)]. 10106 (x * K((y / z) \ u,u)) \ x = K(u,z / (u \ y)). [para(10103(a,1),6169(a,1,1,2))]. 10109 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(10012(a,1),886(a,1,1,2))]. 10110 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(10016(a,2),5019(a,1))]. 10111 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(6206(a,1),10110(a,1,2))]. 10112 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(10021(a,2),10110(a,1))]. 10113 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(10055(a,1),5120(a,1,2))]. 10114 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(220,a,7760,a(flip),b,10060,a)]. 10116 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6949(a,1),10114(a,1,1,1)),flip(a)]. 10117 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7232(a,1),10114(a,1,1,1)),flip(a)]. 10118 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8048(a,1),10114(a,1,1,1,2))]. 10120 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(220,a,8855,a(flip),b,10068,a(flip))]. 10121 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),10120(a,1,2,2,2)),flip(a)]. 10122 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(6197,a,10106,a),flip(a)]. 10123 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(10106(a,1),6197(a,1))]. 10124 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(220,a,8273,a,b,10122,a),flip(a)]. 10125 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(220,a,6885,a,b,10122,a),flip(a)]. 10126 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(25,a,10122,a)]. 10127 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(220,a,9028,a,b,10122,a(flip)),flip(a)]. 10128 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),10122(a,1,2,2)),flip(a)]. 10129 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10122(a,1),6862(a,1,1))]. 10130 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(220,a,9028,a,b,10125,a),flip(a)]. 10131 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(220,a,8102,a,b,10127,a(flip)),flip(a)]. 10132 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(220,a,8052,a,b,10127,a(flip)),flip(a)]. 10133 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(10130(a,1),4801(a,2,2)),flip(a)]. 10134 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(10130(a,2),6887(a,1))]. 10135 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(10124(a,2),7402(a,1,1))]. 10136 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(7712,a,10131,a)]. 10137 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(220,a,8741,a,b,10132,a(flip)),flip(a)]. 10139 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(16(a,1),10136(a,1,2,1,1)),flip(a)]. 10140 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4066(a,1),10139(a,1,2,1)),flip(a)]. 10141 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4160(a,2),10139(a,1,2,1)),flip(a)]. 10143 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(7136,a,10116,a),flip(a)]. 10144 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(10116(a,1),7136(a,1))]. 10145 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(8306,a,10118,a),flip(a)]. 10146 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8303,a,10145,a),flip(a)]. 10148 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6663(a,1),10146(a,1,1,2)),flip(a)]. 10149 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5383,a,10126,a)]. 10150 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(220,a,9030,a,b,10149,a(flip)),flip(a)]. 10151 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(220,a,6912,a(flip),b,10137,a)]. 10152 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(220,a,9129,a(flip),b,10140,a(flip))]. 10153 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(220,a,10128,a(flip),b,10152,a(flip))]. 10154 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(17(a,1),10143(a,1,1,1,2)),flip(a)]. 10156 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10143(a,1),4969(a,2,2,2)),flip(a)]. 10157 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(6530(a,1),10148(a,1,1,2,1))]. 10158 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7398(a,1),10148(a,1,1,2,1)),flip(a)]. 10159 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7513,a,10153,a),flip(a)]. 10160 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(220,a,7688,a(flip),b,10159,a(flip)),flip(a)]. 10161 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(220,a,7772,a(flip),b,10154,a(flip)),flip(a)]. 10162 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(421(a,1),10157(a,1,1))]. 10163 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(15(a,1),10161(a,2,1,1))]. 10164 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(220,a,10163,a(flip),b,9997,a)]. 10165 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(220,a,7802,a(flip),b,10164,a)]. 10166 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [para(17(a,1),10164(a,2,1,2,1))]. 10167 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(6442(a,2),10164(a,1,1))]. 10168 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10165(a,1),7022(a,2,1))]. 10169 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(118(a,1),10167(a,2,1,2))]. 10170 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(10006(a,2),396(a,1))]. 10171 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(63(a,1),10170(a,1,1,2))]. 10174 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(220,a,8073,a(flip),b,10046,a)]. 10175 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),10174(a,1,2,2))]. 10176 T(K(x,y),L(y,z,u) * w) != v5 | K(x,T(y,w)) = v5. [para(10090(a,2),8174(a,1))]. 10177 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10176,a,7345,a(flip)),flip(a)]. 10178 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(378(a,1),10176(a,1,2,1))]. 10179 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),10177(a,1,2,2)),flip(a)]. 10180 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(10036(a,1),10177(a,1,2))]. 10181 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(6515(a,2),10178(a,1))]. 10184 K((x * y) / z,y) != u | K(z \ (x * y),T(y,x)) = u. [para(8055(a,1),10181(a,1))]. 10186 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(17(a,1),10180(a,1,2,2,2))]. 10187 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7316(a,1),10180(a,1,2))]. 10188 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(10070,a,10187,a),flip(a)]. 10189 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(10187(a,1),10070(a,1))]. 10190 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(8363,a,10188,a)]. 10191 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),10188(a,1,2,2))]. 10192 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(220,a,7489,a(flip),b,10186,a)]. 10193 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10192(a,1),8043(a,1,1,1)),flip(a)]. 10195 L(K(x * (y \ z),x),y \ z,y) != u | K((z \ y) \ x,x) = u. [para(10166(a,2),9993(a,1))]. 10196 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(411(a,1),10171(a,1,1))]. 10197 K(x / (y \ z),y) != u | K(z \ (x * y),T(y,x)) = u. [para(7784(a,1),10184(a,1))]. 10198 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7792(a,2),10189(a,1))]. 10200 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10197,a,10103,a)]. 10201 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(220,a,6608,a(flip),b,10200,a(flip))]. 10202 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(220,a,5349,a(flip),b,10201,a(flip)),flip(a)]. 10203 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7813,a,10202,a)]. 10204 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8048(a,1),10007(a,1,1)),flip(a)]. 10205 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(220,a,10009,a(flip),b,10204,a(flip)),flip(a)]. 10206 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(18(a,1),10204(a,1,1,2)),flip(a)]. 10207 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(135(a,1),10204(a,1,1,2)),flip(a)]. 10211 L(K(x,y),x \ T(x * z,z),u) = L(K(x,y),R(z,x,z),u). [para(3992(a,1),10205(a,1,2)),flip(a)]. 10212 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(220,a,6569,a(flip),b,10207,a(flip))]. 10213 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4828(a,2),10207(a,1,2)),flip(a)]. 10214 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4856(a,1),10207(a,1,2))]. 10215 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8048(a,1),10207(a,1,1))]. 10216 L(K(x,y),K(z,x),u) = K(x,y). [hyper(220,a,8307,a(flip),b,10213,a(flip))]. 10218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(220,a,9880,a,b,10216,a(flip)),flip(a)]. 10219 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(10216(a,1),212(a,1,2))]. 10220 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10216(a,1),393(a,1,2,1))]. 10221 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5765(a,1),10216(a,1,2))]. 10222 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10221(a,1),103(a,1,2))]. 10223 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(220,a,8061,a(flip),b,10215,a)]. 10225 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(17(a,1),10223(a,1,2)),flip(a)]. 10226 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(220,a,10214,a,b,10225,a(flip)),flip(a)]. 10228 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [hyper(220,a,7233,a(flip),b,10226,a(flip)),flip(a)]. 10229 L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w). [para(5238(a,1),10226(a,1,2)),flip(a)]. 10233 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(10228(a,1),478(a,1,2))]. 10234 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(220,a,10034,a(flip),b,10175,a(flip))]. 10236 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(220,a,7561,a(flip),b,10234,a(flip)),flip(a)]. 10237 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(19(a,1),10234(a,1,2,2,2)),flip(a)]. 10238 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(17(a,1),10236(a,1,2,2,2)),flip(a)]. 10239 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(220,a,9764,a,b,10237,a(flip)),flip(a)]. 10240 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(10238(a,1),10047(a,1))]. 10241 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(390(a,1),10212(a,2,2))]. 10242 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(10219,a,6697,a)]. 10243 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(10219,a,6671,a(flip)),flip(a)]. 10244 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(2122(a,2),10243(a,2,2))]. 10245 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(10243(a,1),6234(a,1,1))]. 10246 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [para(10243(a,1),6673(a,1,1))]. 10247 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6670,a,10244,a)]. 10248 L(K(x,y),K(y,z),u) = K(x,y). [hyper(388,a,10244,a)]. 10249 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(220,a,6671,a(flip),b,10244,a(flip)),flip(a)]. 10250 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(2997(a,1),10244(a,1,1))]. 10251 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(10244(a,1),6673(a,1,1))]. 10252 L(L(K(x,y),z,u),K(y,w),v5) = L(K(x,y),z,u). [para(10248(a,1),48(a,1,1)),flip(a)]. 10253 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(10248(a,1),394(a,1,2,1))]. 10254 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8048(a,1),10248(a,1,2))]. 10255 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(10254(a,1),103(a,1,2))]. 10256 x / L(L(K(y,z),u,w),K(z,v5),v6) = x * L(K(z,y),u,w). [para(10252(a,2),6534(a,1,2))]. 10257 L(K(x,y),K(z,y),u) = K(x,y). [hyper(6540,a,10246,a)]. 10258 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(10257(a,1),103(a,1,2))]. 10259 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7368(a,1),10247(a,1,1))]. 10260 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(160,a,10249,a,b,526,a)]. 10262 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5685(a,1),10249(a,1,1)),flip(a)]. 10263 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,10246,a,b,10251,a(flip)),flip(a)]. 10266 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [hyper(6676,a,10258,a),flip(a)]. 10267 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(78,a,10263,a)]. 10268 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10263(a,1),272(a,1,1)),flip(b)]. 10269 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(71,a,5153,a(flip),b,10266,a)]. 10270 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(220,a,5812,a,b,10269,a)]. 10271 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(10269(a,1),6804(a,2,1))]. 10272 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(220,a,2122,a,b,10267,a)]. 10273 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5466(a,1),10242(a,1,2)),flip(a)]. 10274 x * (R(x,y,x) \ z) = z * (x \ L(x,y,x)). [hyper(7569,a,10273,a)]. 10275 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [hyper(71,a,4821,a(flip),b,10274,a)]. 10276 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(10054(a,1),10275(a,1,2)),flip(a)]. 10277 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(220,a,9023,a,b,10276,a(flip)),flip(a)]. 10278 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(10276(a,1),9661(a,1,1))]. 10279 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10277(a,1),7228(a,1,1,2,1))]. 10280 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(220,a,7420,a(flip),b,10259,a)]. 10281 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(220,a,6524,a(flip),b,10262,a)]. 10282 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7368(a,1),10280(a,1,2))]. 10283 (x / (K(y,z) * L(K(u,y),w,v5))) * K(y,z) = x * L(K(y,u),w,v5). [hyper(735,a,10256,a)]. 10284 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(54(a,1),9980(a,2,1))]. 10285 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1331(a,1),9980(a,2,1))]. 10286 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(10284(a,1),8457(a,1,2)),flip(a)]. 10287 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(54(a,1),9990(a,2,1))]. 10288 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(71,a,10287,a(flip),b,2482,a)]. 10289 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(220,a,5489,a(flip),b,10027,a)]. 10290 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(402(a,1),10289(a,1,1)),flip(a)]. 10291 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(9451,a,10290,a),flip(a)]. 10292 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4970,a,10156,a),flip(a)]. 10294 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(220,a,9101,a,b,10292,a(flip)),flip(a)]. 10295 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(220,a,7734,a,b,10255,a(flip)),flip(a)]. 10296 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(552(a,1),10291(a,1,2)),flip(a)]. 10297 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(220,a,8139,a(flip),b,10295,a(flip))]. 10298 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(220,a,8988,a(flip),b,9992,a(flip)),flip(a)]. 10299 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(220,a,10117,a(flip),b,10298,a(flip))]. 10301 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4972(a,1),10299(a,1,1,2)),flip(a)]. 10302 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5062(a,1),10299(a,1,1,2)),flip(a)]. 10304 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8048(a,1),10299(a,1,1,2,1))]. 10305 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8034(a,1),10299(a,1,1,2))]. 10306 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(10299(a,1),10061(a,1))]. 10307 K(K(x,y) * z,y) != u | K(z,y) = u. [para(5242(a,1),10306(a,1,1))]. 10312 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(5543(a,1),10307(a,1,1))]. 10313 K(x * K(y,z),z) != u | K(x,z) = u. [para(7484(a,1),10307(a,1,1))]. 10315 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8071(a,1),10305(a,1,1,2))]. 10316 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),10312(a,1,1,2))]. 10317 T(T(x,y),z \ T(x,u)) = 1 / (T(x,y) \ K(z \ x,T(x,y))). [para(10315(a,1),4969(a,2,2,2))]. 10318 K(T(x,y),z \ T(x,u)) = (w * K(z \ x,T(x,y))) \ w. [para(10315(a,1),6169(a,1,1,2)),flip(a)]. 10319 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7246(a,2),10316(a,1))]. 10320 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7249(a,1),10316(a,1))]. 10321 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(19(a,1),10319(a,1,1,1))]. 10322 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(10301(a,1),5491(a,1,1,1,2))]. 10323 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(8227,a,10304,a),flip(a)]. 10324 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8226,a,10323,a),flip(a)]. 10325 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(10324(a,1),6169(a,1,1,2)),flip(a)]. 10326 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(220,a,6169,a(flip),b,10325,a)]. 10327 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(8079(a,1),10326(a,1,2,1)),flip(a)]. 10328 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8237(a,1),10326(a,1,2,1))]. 10329 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(10327(a,2),8449(a,2,2)),flip(a)]. 10330 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(220,a,9028,a(flip),b,10328,a)]. 10331 K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ x,y)) = w. [para(10318(a,2),7452(a,1))]. 10332 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(220,a,8449,a(flip),b,10329,a)]. 10333 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(14(a,1),10332(a,1,2,2,1))]. 10334 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(10333(a,1),7891(a,1,2))]. 10336 T(T(x,y),z \ T(x,u)) = T(T(x,y),z \ x). [hyper(220,a,4969,a,b,10317,a)]. 10337 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(10336(a,1),8529(a,1,2))]. 10338 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(10337,a,10121,a),flip(a)]. 10339 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(8540,a,10338,a)]. 10340 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),10339(a,1,2,2)),flip(a)]. 10341 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10340(a,1),8751(a,1,1))]. 10342 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(220,a,7866,a(flip),b,10334,a(flip))]. 10343 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7345(a,2),10342(a,2,1))]. 10344 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8518(a,1),10343(a,2,1))]. 10345 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(10344(a,2),5685(a,1,1))]. 10346 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(10144,a,10066,a)]. 10348 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(5985,a,10097,a),flip(a)]. 10349 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(10348(a,1),1302(a,1,1)),flip(a)]. 10350 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(71,a,10349,a(flip),b,2992,a)]. 10351 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(10111,a,10206,a)]. 10353 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(10351(a,1),8404(a,1,1,1,2)),flip(a)]. 10355 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(8034(a,1),10193(a,2,1))]. 10357 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(220,a,7476,a(flip),b,10088,a)]. 10358 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3942(a,1),10357(a,1,1)),flip(a)]. 10359 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(8781,a,10358,a)]. 10362 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7591(a,2),10218(a,1,1))]. 10363 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2125(a,2),10220(a,2,2))]. 10364 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(6172(a,1),10220(a,1,1)),flip(a)]. 10365 R(x,L(K(y,z),u,w),K(z,v5)) = x. [hyper(418,a,10222,a)]. 10366 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2128(a,1),10222(a,2,2))]. 10367 R(x,K(y,z),K(z,u)) = x. [para(378(a,1),10365(a,1,2))]. 10368 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(10365(a,1),454(a,1,1))]. 10369 R(x,T(K(y,z),u),K(z,w)) = x. [para(1621(a,1),10367(a,1,2))]. 10370 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(10367(a,1),2317(a,1,1,1))]. 10371 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(10367(a,1),6160(a,1,1))]. 10372 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5468(a,1),10369(a,1,3))]. 10374 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10372(a,1),754(a,1,1)),flip(a)]. 10375 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10372(a,1),6932(a,1)),flip(a)]. 10378 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(220,a,8622,a(flip),b,10371,a)]. 10379 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(220,a,4123,a(flip),b,10371,a(flip))]. 10380 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(43(a,2),10371(a,1,2,2))]. 10381 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1662(a,1),10371(a,1,2))]. 10382 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(10371(a,2),2124(a,1))]. 10384 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(220,a,5969,a,b,10379,a(flip)),flip(a)]. 10385 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(10379(a,1),6169(a,1,1))]. 10386 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(16(a,1),10384(a,1,2,2)),flip(a)]. 10387 x \ R(x,T(y,x),x) = a(x,y,x). [para(155(a,1),10386(a,1,2)),flip(a)]. 10388 x \ R(x,y,x) = a(x,y,x). [para(9277(a,1),10387(a,1,2))]. 10389 K(x,y) * K(y * x,x) = a(x,y,x). [hyper(6450,a,10388,a)]. 10390 K(x,x \ y) * K(y,x) = a(x,x \ y,x). [hyper(5973,a,10388,a)]. 10391 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(5972,a,10388,a)]. 10392 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5967,a,10388,a)]. 10393 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5964,a,10388,a)]. 10394 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(220,a,7820,a(flip),b,10388,a(flip))]. 10395 x * a(x,y,x) = R(x,y,x). [para(10388(a,1),17(a,1,2))]. 10397 T(x * y,x) / x = y * a(x,y,x). [para(10388(a,1),5968(a,1,2)),flip(a)]. 10400 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(10388(a,1),7442(a,1,2)),flip(a)]. 10401 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(10388(a,1),9572(a,1,1))]. 10402 x \ R(x,y,x) != z | a(x,y,x) = z. [para(10395(a,1),209(a,1,2)),flip(b)]. 10403 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(5249,a,10389,a)]. 10404 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6174,a,10392,a)]. 10405 x * K(y * z,y) != a(y,z,y) | K(y,z) = x. [para(10392(a,1),2123(a,1)),flip(a)]. 10406 K(x,y) * a(y,x,y) = K(y * x,y). [para(10392(a,1),5247(a,1,2))]. 10408 a(x,y,x) * K(x,x * y) = K(x,y). [para(10392(a,1),6194(a,1,1))]. 10409 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(10393(a,1),5265(a,1,2)),flip(b)]. 10411 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(10393(a,1),6197(a,1,1))]. 10412 a(x,y,x) * (y * x) = T(x * y,x). [para(10393(a,1),6609(a,1,1))]. 10413 (x * y) * a(y,x,y) = T(y * x,y). [para(10393(a,1),6611(a,1,2))]. 10414 (x / y) * a(y,z,y) = x / L(y,z,y). [para(10393(a,1),10281(a,1,2))]. 10415 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(220,a,1678,a,b,10397,a(flip)),flip(a)]. 10416 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(17(a,1),10397(a,1,1,1)),flip(a)]. 10417 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(10397(a,1),120(a,1,1))]. 10418 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(10397(a,2),166(a,1,2,2))]. 10419 R(x * a(y,x,y),z,u) * y != w | y * R(y \ T(y * x,y),z,u) = w. [para(10397(a,1),719(a,1,1,1))]. 10420 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(10397(a,2),389(a,1,2,2))]. 10421 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(10397(a,2),683(a,1,2,2,2))]. 10422 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5965(a,2),10402(a,1))]. 10423 K(x / y,z) * a(z,(y / x) \ 1,z) = K(((y / x) \ 1) * z,z). [para(5492(a,1),10403(a,1,1))]. 10424 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(220,a,6442,a,b,10404,a)]. 10426 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7489(a,1),10404(a,1,2))]. 10427 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(17(a,1),10408(a,1,2,2))]. 10428 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(10413(a,1),771(a,1,1,2))]. 10429 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(7176,a,10394,a)]. 10432 a(x,y,T(x,z)) = a(x,y,x). [hyper(220,a,10388,a(flip),b,10429,a)]. 10433 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10429(a,2),10402(a,1))]. 10434 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10432(a,1),6525(a,1))]. 10435 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),10414(a,1,1)),flip(a)]. 10436 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1935,a,10435,a)]. 10437 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(10435(a,1),66(a,1,1))]. 10438 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(220,a,7278,a(flip),b,10436,a(flip)),flip(a)]. 10439 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(18(a,1),10436(a,1,1)),flip(a)]. 10440 a(x,y,x) \ x = L(x,y,x). [hyper(220,a,3588,a(flip),b,10437,a(flip)),flip(a)]. 10441 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(773(a,1),10437(a,1,2))]. 10442 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(220,a,10113,a,b,10438,a(flip)),flip(a)]. 10443 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(220,a,9632,a,b,10438,a(flip)),flip(a)]. 10444 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(220,a,1310,a,b,10438,a(flip)),flip(a)]. 10445 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(10438(a,1),4875(a,1,2))]. 10446 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(9497(a,1),10438(a,1,2,1))]. 10447 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10438(a,1),9631(a,1,2))]. 10448 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(220,a,7282,a(flip),b,10443,a(flip)),flip(a)]. 10449 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(16(a,1),10443(a,1,2)),flip(a)]. 10452 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(10444(a,1),17(a,1,2))]. 10453 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(17(a,1),10444(a,1,2)),flip(a)]. 10454 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [hyper(71,a,10447,a(flip),b,433,a)]. 10455 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,10447,a(flip),b,103,a)]. 10457 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),10448(a,1,1)),flip(a)]. 10458 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(10448(a,2),22(a,1))]. 10459 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4581(a,1),10448(a,1,2))]. 10460 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(10388(a,2),10448(a,2,2))]. 10461 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10449(a,1),209(a,1,2)),flip(b)]. 10463 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10390(a,1),5248(a,1,2))]. 10465 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10455(a,1),10461(a,1))]. 10466 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10442(a,1),4857(a,1,2))]. 10467 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(8785,a,10400,a),flip(a)]. 10468 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8065(a,1),10467(a,1,1))]. 10469 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10467(a,1),10437(a,1,1))]. 10470 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(6402(a,1),10469(a,1,2))]. 10471 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7444,a,10470,a)]. 10472 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5022,a,10471,a)]. 10473 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4604(a,1),10472(a,1,1))]. 10474 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(220,a,6403,a(flip),b,10473,a(flip)),flip(a)]. 10475 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8421(a,1),10474(a,1,2))]. 10476 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(220,a,7069,a,b,10401,a),flip(a)]. 10477 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(220,a,7702,a(flip),b,10445,a)]. 10478 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10448(a,2),10466(a,1,2))]. 10479 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7472(a,2),10475(a,1,1))]. 10480 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(10397(a,1),10415(a,1,1)),flip(a)]. 10481 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(20,a,10442,a(flip),b,10446,a(flip))]. 10484 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(220,a,9741,a(flip),b,10478,a(flip)),flip(a)]. 10486 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10484(a,1),9008(a,1,2))]. 10488 K(x / y,z) * a(z,(y / x) \ 1,z) = K((y / x) \ z,z). [hyper(220,a,6445,a(flip),b,10423,a)]. 10490 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(19(a,1),10239(a,1,2,1)),flip(a)]. 10491 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(6172(a,1),10253(a,1,1)),flip(a)]. 10492 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8138(a,1),10297(a,1,2)),flip(a)]. 10493 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6661(a,1),10492(a,2,2))]. 10494 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5996(a,1),10350(a,1,2)),flip(a)]. 10495 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(220,a,4684,a(flip),b,10494,a(flip))]. 10496 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3003,a,10495,a)]. 10497 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(220,a,8330,a,b,10363,a(flip)),flip(a)]. 10498 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(72,a,6883,a(flip),b,10364,a)]. 10499 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6174,a,10366,a)]. 10502 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(220,a,7400,a(flip),b,10490,a(flip))]. 10503 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(220,a,6107,a(flip),b,10502,a)]. 10504 K(x,y \ ((z * (x \ u)) * x)) != w | K(x,y \ (z * u)) = w. [para(10502(a,2),6418(a,1))]. 10505 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(220,a,9095,a(flip),b,10503,a(flip))]. 10506 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(220,a,7107,a,b,10505,a(flip)),flip(a)]. 10508 L(K(x,x \ y),y,z) = K(x,x \ y). [para(16(a,1),10506(a,1,3))]. 10509 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(7709,a,10508,a)]. 10511 (x * (y * z)) \ (x * (y * (u * (z / u)))) = K(u,u \ L(z,y,x)). [hyper(220,a,9930,a(flip),b,10508,a(flip)),flip(a)]. 10512 (x * (y * z)) \ (x * (y * (u * (z / u)))) = L(K(u,u \ z),y * z,x). [para(10508(a,1),5207(a,1,1)),flip(a)]. 10514 K(x,L(y,x,z)) = K(x,x \ (x * y)). [hyper(220,a,7104,a(flip),b,10509,a(flip)),flip(a)]. 10515 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(17(a,1),10509(a,1,2,2,2))]. 10516 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10509(a,1),7123(a,1,2))]. 10518 K(x,L(y,x,z)) = K(x,y). [para(16(a,1),10514(a,2,2))]. 10519 K(L(x,y,z),y) = K(x,y). [hyper(6958,a,10518,a)]. 10520 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(220,a,6703,a,b,10518,a(flip)),flip(a)]. 10521 (x * (y * z)) * K(z,y) = x * (z * y). [para(10518(a,1),6949(a,1,2))]. 10522 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(10171,a,10519,a)]. 10525 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10519(a,1),10245(a,1,1,2,1)),flip(a)]. 10526 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(10000,a,10522,a)]. 10527 L(K(x \ y,x),y,z) = K(y / x,x). [hyper(220,a,5147,a,b,10522,a)]. 10528 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(10527(a,2),5276(a,1))]. 10529 K(x,(x * y) \ z) = K(x,x \ (y \ z)). [hyper(7019,a,10515,a)]. 10531 R(x,y * z,K(z,y)) = x. [hyper(21,a,427,a,b,10521,a(flip)),flip(a)]. 10533 T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). [para(10521(a,1),7964(a,1,2)),flip(a)]. 10535 R(x,y,T(z,y)) = R(x,y,z). [hyper(6819,a,10531,a)]. 10536 R(x,y,K(z \ y,z)) = x. [para(17(a,1),10531(a,1,2))]. 10537 R(x,y / z,z) = R(x,z \ y,z). [hyper(220,a,9523,a(flip),b,10536,a(flip))]. 10542 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7345(a,2),10535(a,1,3))]. 10545 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(220,a,10129,a(flip),b,10537,a(flip))]. 10546 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(220,a,6862,a(flip),b,10537,a(flip))]. 10548 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(17(a,1),10526(a,1,1,2,2))]. 10549 K(x,x \ (y \ z)) != u | K(x,y \ (x \ z)) = u. [para(10529(a,1),7040(a,1))]. 10550 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(220,a,7249,a(flip),b,10548,a(flip))]. 10551 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1307(a,1),10550(a,1,1,2,1))]. 10552 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(5989(a,1),10550(a,1,1,2,1))]. 10557 T(x,L(y,x,z)) = T(x,y). [hyper(220,a,10245,a(flip),b,10525,a)]. 10561 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(220,a,9192,a(flip),b,10557,a(flip)),flip(a)]. 10564 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(411(a,1),10557(a,1,2))]. 10565 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10557(a,1),6825(a,1,1,2)),flip(a)]. 10567 K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). [para(10561(a,1),6954(a,1,1,2,2)),flip(a)]. 10568 L(x,T(y,x),z) = L(x,y,z). [hyper(220,a,31,a,b,10565,a),flip(a)]. 10569 (x * T(y,K(z,u))) \ (x * (K(z,u) * y)) = L(K(z,u),y,x). [para(7974(a,1),10565(a,2,2,2)),flip(a)]. 10571 L(x,y / x,z) = L(x,x \ y,z). [para(120(a,1),10568(a,1,2)),flip(a)]. 10573 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(220,a,473,a(flip),b,10571,a(flip))]. 10574 K(x,L(y,y \ z,u)) != w | L(K(x,y),z,u) = w. [para(10571(a,1),6596(a,1,2))]. 10575 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10571(a,1),10170(a,1,1))]. 10577 K(x,L(y,K(y,z) * u,w)) != v5 | L(K(x,y),T(y,z) * u,w) = v5. [para(5061(a,1),10574(a,1,2,2))]. 10581 (x / L(K(y,z),u,w)) * K((w * T(u,K(y,z))) \ (w * (K(y,z) * u)),w * T(u,K(y,z))) = x / ((w * (K(y,z) * u)) / (w * T(u,K(y,z)))). [para(10569(a,1),6193(a,1,1,2))]. 10583 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(220,a,3923,a(flip),b,10491,a)]. 10584 K(x \ (y * z),z) * K(z,x \ y) = z \ R(z,(y \ x) \ 1,z). [para(6107(a,1),9987(a,1,2))]. 10585 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [hyper(220,a,10388,a(flip),b,10584,a)]. 10586 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(10076,a,7458,a),flip(a)]. 10587 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5690(a,2),10586(a,1,2,1))]. 10588 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(10135,a,8289,a)]. 10589 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10588(a,1),4801(a,2,2)),flip(a)]. 10591 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10589(a,1),4804(a,1))]. 10592 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(8049(a,1),10341(a,1,1)),flip(a)]. 10594 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(6203,a,10368,a)]. 10595 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(220,a,2128,a(flip),b,10594,a)]. 10596 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6172(a,1),10595(a,1,2)),flip(a)]. 10597 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6717(a,1),10596(a,1,2))]. 10598 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6535,a,10597,a)]. 10599 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5249,a,10597,a)]. 10600 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2130,a,10597,a)]. 10601 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(603,a,10597,a)]. 10603 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(10597(a,1),5413(a,2,2))]. 10604 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5899(a,1),10597(a,1,2))]. 10605 K(1 / x,y) * K(y,1 / L(x,z,u)) = a(u,z,K(1 / x,y)). [para(5910(a,1),10597(a,1,2))]. 10607 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10597(a,1),9319(a,1,1)),flip(a)]. 10608 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(10008(a,1),10597(a,1,2))]. 10609 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10164(a,1),10597(a,1,2))]. 10610 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(10597(a,1),10283(a,1,1,2))]. 10611 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(10597(a,1),10491(a,1,2))]. 10612 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(10597(a,1),10499(a,1,1,2))]. 10613 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(10599(a,1),7671(a,1,2,2,2)),flip(a)]. 10614 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5944,a,10600,a)]. 10615 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(220,a,10368,a,b,10600,a(flip)),flip(a)]. 10616 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6589(a,1),10600(a,1,1))]. 10617 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10614(a,1),23(a,1)),flip(a)]. 10618 K(L(x,y,z),u) * a(z,y * x,K(x,u)) = K(x,u). [para(10008(a,1),10614(a,1,1))]. 10619 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(10002(a,1),10614(a,1,1))]. 10620 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10608(a,1),5433(a,2,2))]. 10623 K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. [para(10618(a,1),5265(a,1,2)),flip(b)]. 10624 K(x,y) * (a(z,u,K(y,x)) * w) = L(K(x,y),u,z) * w. [hyper(5249,a,10607,a)]. 10625 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5942(a,1),10607(a,1,2)),flip(a)]. 10626 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(10611(a,1),22(a,1)),flip(a)]. 10627 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(21,a,10610,a,b,10612,a),flip(a)]. 10629 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(497,a,10627,a)]. 10630 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(220,a,4863,a(flip),b,10627,a(flip))]. 10631 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(10627(a,1),332(a,1,1))]. 10632 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(10629(a,1),274(a,1,2)),flip(b)]. 10633 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(71,a,5238,a(flip),b,10625,a),flip(a)]. 10634 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(10601(a,1),6739(a,1,1))]. 10635 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(220,a,4937,a,b,10615,a),flip(a)]. 10636 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5765(a,1),10604(a,1,1))]. 10637 K(1 / x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7837(a,1),10605(a,1,2))]. 10638 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10609(a,1),5248(a,1,2))]. 10639 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10617,a,10638,a)]. 10640 L(K(x,x * (x \ T(x * y,y))),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [hyper(220,a,10211,a(flip),b,10639,a(flip)),flip(a)]. 10641 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5848(a,1),10639(a,2,2,2,1))]. 10642 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(220,a,7558,a(flip),b,10613,a)]. 10644 L(K(x,x \ y),z * y,u) = K(x,x \ L(y,z,u)). [hyper(220,a,10511,a(flip),b,10512,a(flip))]. 10646 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(10005(a,1),10011(a,1,1))]. 10647 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(220,a,10607,a(flip),b,10646,a)]. 10648 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(220,a,10633,a(flip),b,10647,a(flip)),flip(a)]. 10649 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(372,a,10648,a)]. 10650 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(209,a,10648,a)]. 10651 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(10648(a,2),23(a,1))]. 10653 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10649(a,1),80(a,1,1)),flip(b)]. 10654 a(x,y,K(z,u)) \ w != v5 | a(x,y,K(u,z)) * w = v5. [para(10649(a,1),207(a,1,1)),flip(b)]. 10655 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(20,a,10634,a,b,10650,a)]. 10657 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6845(a,1),10056(a,1,2)),flip(a)]. 10658 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3075,a,10657,a(flip)),flip(a)]. 10659 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(10233,a,8038,a(flip)),flip(a)]. 10660 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7092(a,1),10374(a,1,2)),flip(a)]. 10662 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1511(a,1),10418(a,1,2,2))]. 10663 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10481(a,1),10441(a,1,1,2))]. 10664 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10457(a,1),10663(a,1,1))]. 10666 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(220,a,9497,a(flip),b,10664,a)]. 10668 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5022,a,10486,a),flip(a)]. 10669 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(10496(a,1),3650(a,2,1)),flip(a)]. 10670 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4072(a,1),10587(a,1,1))]. 10671 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(220,a,9230,a(flip),b,10670,a)]. 10672 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(220,a,9140,a(flip),b,10671,a(flip)),flip(a)]. 10673 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10041,a,10672,a)]. 10674 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(220,a,10330,a(flip),b,10673,a(flip))]. 10676 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(220,a,8068,a(flip),b,10674,a(flip))]. 10677 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(220,a,3045,a(flip),b,10676,a)]. 10678 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(10123,a,10677,a)]. 10679 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(220,a,8687,a,b,10678,a),flip(a)]. 10680 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7482,a,10620,a)]. 10681 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(131(a,1),10680(a,1,2,2))]. 10682 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(118(a,1),10662(a,1,2)),flip(a)]. 10683 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(220,a,7221,a(flip),b,10096,a(flip)),flip(a)]. 10684 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(220,a,8901,a,b,10683,a(flip)),flip(a)]. 10685 K(a(x,y,z),x) = 1. [hyper(5930,a,10684,a),flip(a)]. 10688 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,10685,a)]. 10689 a(x,y,z) * x = x * a(x,y,z). [para(10688(a,1),118(a,1,2)),flip(a)]. 10690 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3890(a,2),10688(a,1,1))]. 10691 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(220,a,10655,a(flip),b,10689,a(flip))]. 10692 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(10691(a,1),10642(a,1,2,2))]. 10693 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(220,a,5327,a(flip),b,10692,a(flip)),flip(a)]. 10694 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(220,a,8794,a,b,10693,a(flip)),flip(a)]. 10695 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(220,a,9948,a(flip),b,10694,a)]. 10697 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(220,a,9730,a,b,10695,a(flip)),flip(a)]. 10698 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1327(a,1),10151(a,1,2,1))]. 10699 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(220,a,43,a,b,10564,a(flip)),flip(a)]. 10700 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(220,a,6954,a(flip),b,10567,a)]. 10701 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7662(a,1),10659(a,1,1))]. 10702 L(K(x,T(T(y,z),u * z)),z,u) = K(x,(u * z) / (u * (y \ z))). [hyper(220,a,9697,a,b,10701,a)]. 10704 L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(10701(a,2),9698(a,1))]. 10706 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(220,a,8751,a(flip),b,10702,a(flip))]. 10707 K(x,(y * z) / (y * (u \ z))) != w | K((y * z) / (y * (x \ z)),u) = w. [para(10702(a,1),8768(a,1))]. 10708 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(220,a,9585,a,b,10706,a),flip(a)]. 10709 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(220,a,10592,a(flip),b,10706,a)]. 10710 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(220,a,9306,a(flip),b,10706,a)]. 10711 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10706(a,2),9307(a,1))]. 10712 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(220,a,9916,a(flip),b,10710,a(flip)),flip(a)]. 10713 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),10712(a,1,2,2,2)),flip(a)]. 10714 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),10713(a,2,2))]. 10716 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9311,a,10714,a)]. 10717 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10716(a,1),426(a,1,1))]. 10718 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(220,a,6882,a(flip),b,10717,a(flip))]. 10719 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4883(a,1),10718(a,2,1))]. 10720 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(220,a,7171,a(flip),b,10719,a(flip)),flip(a)]. 10722 L(x,K(y,z),z * y) = x. [hyper(679,a,10720,a)]. 10723 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(479,a,10720,a)]. 10728 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(5111(a,1),10720(a,1,2))]. 10729 K(x,y \ ((z * x) * u)) = K(x,y \ ((x * z) * u)). [para(10720(a,1),9702(a,1,2,2))]. 10730 L(x,K(y \ z,y),z) = x. [para(17(a,1),10722(a,1,3))]. 10731 L(x,K(y,y \ z),z) = x. [para(5148(a,1),10730(a,1,2))]. 10732 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(220,a,6087,a(flip),b,10731,a(flip)),flip(a)]. 10733 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(220,a,9285,a,b,10723,a(flip)),flip(a)]. 10734 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1424(a,1),10728(a,2,1))]. 10736 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),10732(a,1,2)),flip(a)]. 10737 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(10736(a,1),10723(a,1,2)),flip(a)]. 10738 K(x,((x * y) * (z / u)) \ ((y * x) * z)) = L(K(x,u),z,x * y). [hyper(220,a,6571,a(flip),b,10729,a)]. 10739 x \ (y * K(y \ x,y)) = (y * (x / y)) \ y. [hyper(1179,a,10737,a)]. 10740 (x * (y / x)) \ x = y \ (y / (y / x)). [hyper(220,a,5104,a,b,10739,a(flip))]. 10741 x * ((y * (x / y)) \ y) = x / (x / y). [para(10740(a,2),17(a,1,2))]. 10742 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(8751(a,1),10704(a,1))]. 10743 L(K(x,x \ y),z,y) != u | K(x,(y * z) / (y * ((x \ y) \ z))) = u. [para(10592(a,1),10742(a,1))]. 10744 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7021(a,1),10679(a,1,1))]. 10745 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(17(a,1),10744(a,2,2,1,2,1))]. 10746 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(220,a,5399,a,b,10745,a),flip(a)]. 10748 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10746(a,1),4801(a,2,2))]. 10749 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(546(a,1),10698(a,1,2,2))]. 10750 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10294(a,1),10699(a,1,1))]. 10751 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10561(a,1),10750(a,1,1)),flip(a)]. 10752 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10751(a,1),5081(a,1,2,1))]. 10754 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(220,a,8404,a(flip),b,10353,a)]. 10755 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7368(a,1),10754(a,1,2,2))]. 10756 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(10577,a,10755,a)]. 10757 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10519(a,1),10756(a,1,1))]. 10758 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(220,a,10756,a(flip),b,10757,a(flip))]. 10760 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(795(a,1),10758(a,1,1)),flip(a)]. 10761 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(220,a,7474,a(flip),b,10760,a)]. 10762 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(220,a,580,a(flip),b,10761,a)]. 10764 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(220,a,7474,a(flip),b,10762,a(flip)),flip(a)]. 10765 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9388,a,10764,a)]. 10766 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1938(a,1),10378(a,1,2))]. 10767 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(597,a,10766,a),flip(a)]. 10769 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(220,a,8592,a,b,10767,a(flip)),flip(a)]. 10770 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(6613(a,1),10767(a,1,2)),flip(a)]. 10771 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5249,a,10769,a)]. 10772 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(9512(a,1),10770(a,2,2))]. 10773 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(220,a,10767,a(flip),b,10772,a)]. 10775 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(6764,a,10773,a)]. 10776 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(43(a,2),10775(a,1,3))]. 10777 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,2240,a(flip),b,10776,a(flip)),flip(a)]. 10778 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(220,a,10777,a(flip),b,10380,a(flip))]. 10781 K(x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(8474(a,1),10637(a,1,1))]. 10782 K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(8449(a,1),10781(a,1,2))]. 10784 K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(x,K(y,z))). [para(8474(a,1),10782(a,2,3))]. 10785 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8567(a,1),10784(a,1,2))]. 10786 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [hyper(220,a,5815,a,b,10785,a(flip)),flip(a)]. 10788 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(220,a,5216,a(flip),b,10752,a(flip))]. 10789 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10788(a,1),10391(a,1,2)),flip(a)]. 10790 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(10160(a,2),10043(a,1))]. 10791 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(7785(a,1),10169(a,1,1))]. 10793 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(10190(a,1),10791(a,1,1)),flip(a)]. 10794 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8272,a,10793,a),flip(a)]. 10796 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(10196,a,9584,a)]. 10797 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(597,a,10381,a),flip(a)]. 10799 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(220,a,8755,a(flip),b,10797,a(flip)),flip(a)]. 10800 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10797(a,1),6194(a,1,1))]. 10801 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7783(a,1),10797(a,1,1))]. 10802 K(R(x,y,z) * u,x) * K(x,u) = a(x,u,R(x,y,z)). [para(7782(a,2),10797(a,1,1))]. 10803 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10797(a,1),7849(a,1,1)),flip(a)]. 10804 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10799(a,1),17(a,1,2))]. 10805 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10799(a,1),3659(a,1,1)),flip(a)]. 10806 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(8947(a,2),10799(a,1,2))]. 10807 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10799(a,1),9203(a,1,2)),flip(a)]. 10808 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10804(a,1),209(a,1,2)),flip(b)]. 10809 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4290(a,1),10805(a,2,1))]. 10810 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(19(a,1),10800(a,1,2,2))]. 10811 K(x,y) * a(y,x,R(y,z,u)) = K(R(y,z,u) * x,y). [para(10802(a,1),5247(a,1,2))]. 10812 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5212,a,10807,a)]. 10813 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5868,a,10812,a)]. 10814 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10812(a,1),17(a,1,2))]. 10815 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(220,a,9594,a(flip),b,10803,a(flip))]. 10816 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10375,a,10815,a)]. 10817 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10808,a,10806,a)]. 10818 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(220,a,4326,a(flip),b,10817,a(flip))]. 10819 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4291,a,10818,a)]. 10820 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(8947(a,1),10809(a,1,1))]. 10821 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10819(a,1),10820(a,2,1))]. 10822 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(220,a,10805,a(flip),b,10821,a(flip)),flip(a)]. 10823 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4072(a,1),10428(a,1,1)),flip(a)]. 10825 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7173(a,1),10708(a,1,3)),flip(a)]. 10826 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(220,a,10709,a(flip),b,10825,a(flip))]. 10828 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(220,a,10535,a(flip),b,10826,a(flip)),flip(a)]. 10829 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(10828(a,1),10355(a,1,2))]. 10830 (x * K(y,y \ z)) * z != (x * z) * u | L(K(y,y \ z),x,z) = u. [para(10829(a,1),22(a,1))]. 10831 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7362(a,1),10801(a,1,2)),flip(a)]. 10832 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(220,a,10797,a(flip),b,10831,a)]. 10834 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(120(a,1),10832(a,1,2)),flip(a)]. 10835 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(288(a,1),10832(a,1,2,2))]. 10836 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10834(a,1),10810(a,1,1))]. 10837 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(220,a,7388,a(flip),b,10836,a)]. 10838 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(220,a,7809,a(flip),b,10162,a(flip))]. 10840 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(33(a,2),10838(a,1,1))]. 10841 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(220,a,7620,a,b,10840,a(flip)),flip(a)]. 10842 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(220,a,8629,a,b,10841,a(flip)),flip(a)]. 10843 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(220,a,9700,a(flip),b,10842,a(flip)),flip(a)]. 10845 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(220,a,8626,a(flip),b,10843,a(flip))]. 10846 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10843(a,2),8702(a,1))]. 10847 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10845(a,1),4969(a,2,2,2))]. 10848 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6873(a,1),10846(a,1))]. 10849 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(220,a,4969,a,b,10847,a)]. 10851 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(220,a,9740,a(flip),b,10849,a(flip)),flip(a)]. 10853 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(220,a,4303,a,b,10851,a(flip)),flip(a)]. 10856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(184(a,1),10697(a,2,2))]. 10857 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(220,a,9726,a(flip),b,10856,a)]. 10859 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(220,a,9251,a(flip),b,10857,a(flip)),flip(a)]. 10861 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(220,a,10778,a(flip),b,10789,a)]. 10862 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(35(a,2),10789(a,2,2,2))]. 10863 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7503,a,10032,a),flip(a)]. 10868 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),10241(a,1,2,1))]. 10870 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),10868(a,1,2))]. 10871 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(10112,a,10870,a)]. 10872 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(220,a,7020,a(flip),b,10871,a)]. 10874 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),10872(a,2,2,2))]. 10875 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),10872(a,1,1,2)),flip(a)]. 10876 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(220,a,9838,a(flip),b,10874,a(flip))]. 10877 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4572(a,1),10874(a,1,1,2))]. 10878 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(220,a,6564,a(flip),b,10876,a(flip)),flip(a)]. 10880 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(40,a,10878,a)]. 10881 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(220,a,8607,a(flip),b,10875,a(flip))]. 10882 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10875(a,1),7331(a,1,2,1))]. 10883 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [para(217(a,1),10881(a,1,1))]. 10884 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(4853(a,1),10882(a,1,2))]. 10885 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10884(a,1),10089(a,1,2))]. 10886 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(103(a,1),10885(a,1,2,2))]. 10887 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7557(a,1),10886(a,1,2)),flip(a)]. 10888 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(220,a,10302,a(flip),b,10883,a)]. 10890 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(10888(a,1),7875(a,2,2))]. 10891 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(220,a,7875,a(flip),b,10890,a)]. 10892 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(220,a,8852,a(flip),b,10891,a)]. 10893 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7897,a,10892,a)]. 10894 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(9881(a,1),10893(a,1,2,2))]. 10895 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7215,a,10877,a)]. 10897 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(220,a,9763,a(flip),b,10895,a(flip))]. 10898 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(220,a,3814,a(flip),b,10296,a)]. 10899 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(552(a,1),10898(a,1,2))]. 10900 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(7242,a,10899,a),flip(a)]. 10901 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(220,a,8668,a(flip),b,10900,a)]. 10903 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10481(a,1),10426(a,1,1)),flip(a)]. 10904 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(10198,a,10903,a),flip(a)]. 10906 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7450,a,10904,a)]. 10907 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7227(a,1),10906(a,1,1,2))]. 10908 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4310(a,1),10641(a,2,2))]. 10909 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(220,a,6595,a(flip),b,10908,a)]. 10910 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(220,a,10179,a(flip),b,10863,a)]. 10912 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(220,a,8065,a(flip),b,10910,a)]. 10913 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(220,a,9958,a(flip),b,10912,a)]. 10914 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(8225,a,10913,a)]. 10915 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7539(a,1),10362(a,1,2,2))]. 10916 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(15(a,1),10915(a,1,2))]. 10917 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5252,a,10916,a)]. 10918 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7668(a,1),10917(a,1,1))]. 10919 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(220,a,9055,a(flip),b,10918,a)]. 10920 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(220,a,8634,a(flip),b,10919,a(flip)),flip(a)]. 10921 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10920(a,1),5672(a,1,1,1,2))]. 10922 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4801(a,2),10921(a,1,1,1))]. 10923 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(220,a,5806,a(flip),b,10922,a(flip))]. 10924 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10923(a,1),9582(a,1,1))]. 10925 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10161(a,1),10924(a,1,1,2,2))]. 10926 L(K(x,T(x * y,y)),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [para(17(a,1),10640(a,1,1,2))]. 10928 L(K(x,x * y),R(y,x,y),z) = K(x,z \ ((z * (x \ T(x * y,y))) * x)). [para(7466(a,1),10926(a,1,1))]. 10929 K(x,y \ ((y * (x \ T(x * z,z))) * x)) = L(K(x,x * z),T(z,x),y). [hyper(220,a,8418,a(flip),b,10928,a(flip))]. 10930 K(x,y \ ((y * (x \ T(x * z,z))) * x)) = L(K(x,x * z),z,y). [hyper(220,a,10205,a(flip),b,10929,a)]. 10931 K(x,y \ (y * T(x * z,z))) = L(K(x,x * z),z,y). [hyper(10504,a,10930,a)]. 10932 L(K(x,x * y),y,z) = K(x,T(x * y,y)). [para(16(a,1),10931(a,1,2)),flip(a)]. 10933 L(K(x,x * y),y,z) = K(x,x * y). [hyper(220,a,7466,a(flip),b,10932,a)]. 10935 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7025,a,10933,a)]. 10936 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(220,a,10909,a(flip),b,10933,a(flip)),flip(a)]. 10937 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10933(a,2),5161(a,1,2))]. 10938 K(x,(y / x) \ z) = K(x,x * (y \ z)). [hyper(9091,a,10936,a)]. 10939 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6586,a,10936,a)]. 10941 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(220,a,9081,a(flip),b,10936,a(flip))]. 10942 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1310(a,1),10936(a,1,2))]. 10943 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5909,a,10937,a)]. 10944 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(10195,a,10943,a)]. 10945 L(K(x * y,x),y,z) = K(y * x,x). [hyper(220,a,6442,a,b,10943,a)]. 10946 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(220,a,10166,a(flip),b,10943,a(flip)),flip(a)]. 10947 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(220,a,10165,a(flip),b,10945,a(flip)),flip(a)]. 10949 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(220,a,9985,a(flip),b,10944,a(flip))]. 10950 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(10321,a,10946,a)]. 10951 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(10320,a,10946,a)]. 10953 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10946(a,1),10319(a,1))]. 10954 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(10946(a,1),10585(a,1,1))]. 10957 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10935(a,1),4801(a,2,2))]. 10958 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(220,a,4801,a,b,10957,a)]. 10959 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(220,a,9260,a(flip),b,10958,a(flip)),flip(a)]. 10960 a(x,(y \ z) \ 1,x) = a(x,z \ y,x). [hyper(10422,a,10954,a),flip(a)]. 10961 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10954(a,1),10422(a,1))]. 10962 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(479,a,10734,a)]. 10964 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(4088(a,2),10962(a,1,2,2))]. 10965 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(6242(a,1),10964(a,1,2,2)),flip(a)]. 10966 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(373,a,10965,a)]. 10967 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(120(a,1),10966(a,1,2,2))]. 10968 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(10967(a,1),4124(a,1,2)),flip(a)]. 10969 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(10968(a,2),2635(a,1,1))]. 10970 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10796(a,1),10528(a,1))]. 10971 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(10970,a,10700,a)]. 10972 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10552,a(flip),b,10971,a(flip))]. 10973 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(220,a,10551,a(flip),b,10971,a(flip))]. 10974 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,10765,a(flip),b,10972,a(flip)),flip(a)]. 10975 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(220,a,6440,a(flip),b,10974,a(flip)),flip(a)]. 10976 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7813,a,10975,a)]. 10977 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(220,a,9280,a(flip),b,10976,a)]. 10978 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(54(a,1),10977(a,2,1))]. 10979 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10978(a,1),4934(a,1,1,2))]. 10980 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(10978(a,1),10391(a,1,1))]. 10981 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5486(a,1),10979(a,1,1))]. 10982 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6442(a,1),10981(a,1,1,1,2))]. 10983 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(220,a,43,a,b,10982,a(flip))]. 10984 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5364(a,1),10983(a,2,1))]. 10985 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10984(a,1),393(a,1,2))]. 10986 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10984(a,1),7215(a,1,2))]. 10987 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10897(a,1),10986(a,1))]. 10989 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(368,a,10985,a),flip(a)]. 10990 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(10985(a,1),212(a,1))]. 10991 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(282,a,10989,a),flip(a)]. 10993 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(220,a,4934,a,b,10991,a),flip(a)]. 10996 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(220,a,10765,a(flip),b,10973,a(flip)),flip(a)]. 10997 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(220,a,10951,a(flip),b,10996,a(flip)),flip(a)]. 10998 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(220,a,8943,a(flip),b,10997,a)]. 10999 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7813,a,10998,a)]. 11000 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(220,a,10978,a(flip),b,10999,a(flip))]. 11001 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(220,a,9283,a,b,11000,a(flip)),flip(a)]. 11002 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(220,a,8943,a,b,11000,a(flip)),flip(a)]. 11003 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(220,a,9979,a(flip),b,11000,a(flip))]. 11004 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(220,a,9280,a,b,11001,a(flip)),flip(a)]. 11005 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(9570(a,1),10004(a,1,1))]. 11006 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),11005(a,1,2,2)),flip(a)]. 11008 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4812(a,2),11006(a,2,2))]. 11009 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(220,a,4976,a(flip),b,11008,a)]. 11010 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(220,a,4562,a,b,11009,a)]. 11011 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(11009(a,2),4565(a,1))]. 11012 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11010(a,1,1,3))]. 11013 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(7893(a,1),10168(a,2,2))]. 11014 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5908(a,1),10636(a,1,2))]. 11015 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5765(a,1),11014(a,2,3))]. 11016 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(7870(a,1),11013(a,2,2))]. 11017 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(7951(a,1),11016(a,1,1)),flip(a)]. 11018 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(220,a,10794,a(flip),b,11017,a)]. 11019 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(10947(a,1),11018(a,1,1)),flip(a)]. 11020 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(6442(a,1),11019(a,2,1))]. 11022 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(220,a,7954,a(flip),b,11020,a)]. 11023 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(17(a,1),11022(a,1,1,1,2)),flip(a)]. 11024 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(8363,a,11023,a)]. 11025 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(220,a,10468,a,b,11024,a(flip)),flip(a)]. 11026 K(x / y,z) * a(z,(x \ y) \ 1,z) = K((y / x) \ z,z). [para(10960(a,2),11025(a,1,2))]. 11027 a(x,(y / z) \ 1,x) = a(x,(z \ y) \ 1,x). [hyper(20,a,10488,a,b,11026,a),flip(a)]. 11028 a(x,((y \ z) \ z) \ 1,x) = a(x,y \ 1,x). [para(63(a,1),11027(a,1,2,1)),flip(a)]. 11029 a(x,y \ (z \ y),x) = a(x,z \ 1,x). [hyper(10961,a,11028,a)]. 11030 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(16(a,1),11029(a,1,2,2))]. 11031 K(T(x \ y,y \ x) \ z,T(y \ x,u)) = K(1 \ (((x \ y) \ 1) * z),T((x \ y) \ 1,u)). [hyper(220,a,7713,a(flip),b,10101,a(flip)),flip(a)]. 11032 K(1 \ (((x \ y) \ 1) * z),T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(220,a,7793,a(flip),b,11031,a(flip))]. 11033 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [para(54(a,1),11032(a,1,1))]. 11034 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(220,a,7713,a(flip),b,11033,a(flip)),flip(a)]. 11035 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(220,a,7805,a(flip),b,11034,a(flip)),flip(a)]. 11036 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(220,a,8082,a(flip),b,11035,a)]. 11037 K(x * ((y \ z) \ 1),T((y \ z) \ 1,z)) = K((y \ z) \ x,y / z). [hyper(8787,a,11036,a)]. 11038 K(x * T((y \ z) \ 1,u),y / z) = K((y \ z) \ x,y / z). [hyper(220,a,9549,a,b,11037,a(flip)),flip(a)]. 11039 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [para(118(a,1),11038(a,1,1))]. 11040 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5242(a,1),10250(a,1,1,1))]. 11041 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(19(a,1),10635(a,2,1))]. 11042 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(220,a,5691,a(flip),b,11041,a),flip(a)]. 11043 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7434(a,1),10862(a,2,2))]. 11044 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2435(a,1),11040(a,1,1,2)),flip(a)]. 11045 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6190(a,1),11044(a,2,1))]. 11046 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(220,a,8400,a,b,11045,a)]. 11047 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2434(a,1),11046(a,1,1,1))]. 11048 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5242(a,1),11047(a,1,1))]. 11049 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(220,a,7959,a,b,11048,a)]. 11050 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2122(a,1),11049(a,1,2))]. 11051 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(72,a,11050,a(flip),b,4815,a)]. 11052 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6308,a,10322,a),flip(a)]. 11053 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(4932(a,1),11052(a,1,2)),flip(a)]. 11054 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1831(a,2),10420(a,1,2,2))]. 11056 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),11054(a,1,2)),flip(a)]. 11057 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(220,a,9703,a(flip),b,6973,a(flip))]. 11059 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(220,a,6119,a(flip),b,7250,a)]. 11060 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(16(a,1),11059(a,2,2))]. 11061 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6421,a,11060,a)]. 11062 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(16(a,1),11061(a,1,2))]. 11063 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(7295,a,11062,a)]. 11064 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(6990(a,1),9856(a,1,2))]. 11065 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(220,a,5951,a(flip),b,11064,a(flip)),flip(a)]. 11066 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(220,a,9837,a(flip),b,11065,a)]. 11067 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(11065(a,2),9840(a,1))]. 11068 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(11066(a,1),66(a,1,1))]. 11071 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7959(a,1),11051(a,1,1))]. 11072 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6869(a,1),5280(a,1,1,2,1)),flip(a)]. 11073 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5142(a,1),11072(a,2,1,2))]. 11075 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6172(a,1),11073(a,2,1))]. 11076 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(87,a,11075,a)]. 11077 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11076(a,1),3133(a,1,1,1)),flip(a)]. 11078 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5895(a,1),11077(a,2,1))]. 11079 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5620(a,1),11078(a,1,2,2))]. 11080 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8255(a,1),11079(a,1,2))]. 11081 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8204(a,1),11080(a,1,2)),flip(a)]. 11082 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(220,a,8281,a(flip),b,11081,a)]. 11084 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11082(a,1),6122(a,1,2,1))]. 11085 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11082(a,2),10288(a,1,2,1))]. 11092 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(220,a,6362,a(flip),b,6747,a)]. 11093 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(220,a,10249,a(flip),b,11092,a)]. 11094 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10769(a,1),11093(a,2,2))]. 11095 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6397,a,11094,a)]. 11096 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6744(a,1),11095(a,1,2))]. 11097 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(220,a,6684,a(flip),b,11096,a(flip)),flip(a)]. 11098 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8581(a,1),11097(a,1,2))]. 11099 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(10991(a,1),11098(a,1,2))]. 11100 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10458,a,11099,a),flip(a)]. 11102 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11100(a,1),10771(a,1,2)),flip(a)]. 11103 K(x * L(y,z,u),y) = K(y * x,y). [hyper(220,a,10406,a(flip),b,11102,a)]. 11105 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(220,a,10037,a(flip),b,11103,a(flip))]. 11107 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(220,a,10949,a(flip),b,11105,a(flip)),flip(a)]. 11108 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11105(a,1),4824(a,1,1,2))]. 11109 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8305,a,11107,a)]. 11112 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11108(a,1),4894(a,1,1)),flip(a)]. 11113 T(x,L(x,y,z) * u) = T(x,x * u). [para(16(a,1),11112(a,1,2,2)),flip(a)]. 11114 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(71,a,11113,a(flip),b,4801,a(flip)),flip(a)]. 11115 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(220,a,4777,a,b,11114,a)]. 11116 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(220,a,10884,a(flip),b,11115,a(flip)),flip(a)]. 11118 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [para(297(a,1),11116(a,1,2)),flip(a)]. 11119 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(6789,a,10228,a)]. 11120 L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). [para(1918(a,1),11119(a,1,2)),flip(a)]. 11121 L(K(x,y),L(y,z,u),w) = K(x,y). [para(248(a,1),11120(a,1,1,2))]. 11122 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(220,a,10099,a(flip),b,11121,a(flip)),flip(a)]. 11123 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(220,a,9982,a(flip),b,11121,a(flip))]. 11124 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(220,a,11103,a(flip),b,11122,a(flip))]. 11125 (x * K(y \ L(z,u,w),z)) \ x = K(z,(y \ 1) * L(z,u,w)). [para(11122(a,1),6169(a,1,1,2))]. 11127 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(220,a,5348,a(flip),b,11124,a)]. 11128 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(11124(a,2),9453(a,1))]. 11129 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(220,a,10914,a,b,11127,a(flip)),flip(a)]. 11130 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11127(a,1),9437(a,1,1,2))]. 11132 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(11128,a,11123,a),flip(a)]. 11134 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(220,a,10944,a(flip),b,11132,a)]. 11135 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(103(a,1),11134(a,1,1,2))]. 11136 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(7622,a,11135,a)]. 11137 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(220,a,9734,a(flip),b,11135,a(flip)),flip(a)]. 11138 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(220,a,11003,a,b,11137,a(flip)),flip(a)]. 11139 K(x,(y \ 1) * L(x,z,u)) != w | K(x,y \ L(x,z,u)) = w. [para(11125(a,1),6197(a,1))]. 11140 K(x,y \ L(x,z,u)) = K(x,x * (y \ 1)). [hyper(11139,a,11116,a)]. 11141 K(x,y \ L(x,z,u)) = K(x,y \ x). [hyper(220,a,5318,a(flip),b,11140,a)]. 11142 K(x,L(x,y,z) / u) = K(x,u \ x). [hyper(10053,a,11141,a)]. 11143 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10953,a,11136,a(flip)),flip(a)]. 11144 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(220,a,10346,a(flip),b,11143,a(flip)),flip(a)]. 11145 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(31(a,2),11144(a,2,1))]. 11146 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10987,a,11145,a),flip(a)]. 11147 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10575,a,11146,a)]. 11148 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11146(a,1),10575(a,1))]. 11149 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(6783,a,11147,a)]. 11150 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(220,a,5142,a,b,11147,a),flip(a)]. 11152 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(220,a,9994,a(flip),b,11147,a(flip))]. 11153 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(220,a,9962,a(flip),b,11147,a(flip))]. 11154 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11147(a,1),386(a,1,2,2))]. 11155 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11147(a,1),1308(a,1,2,1))]. 11157 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11147(a,1),8355(a,1,2))]. 11158 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11147(a,1),10598(a,1,2))]. 11159 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11147(a,1),10600(a,1,1))]. 11161 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11147(a,1),10603(a,1,2))]. 11162 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11150(a,1),5155(a,1))]. 11164 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6174,a,11158,a)]. 11165 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11158(a,1),6175(a,1,1)),flip(b)]. 11166 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(10623,a,11159,a)]. 11168 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11159(a,1),4818(a,1,2)),flip(a)]. 11170 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7875(a,2),11166(a,1,3))]. 11171 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(20,a,10597,a,b,11164,a),flip(a)]. 11172 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(220,a,10608,a(flip),b,11164,a(flip)),flip(a)]. 11173 T(x,a(y,z,K(x,u))) = x. [para(11164(a,1),4758(a,1,2))]. 11174 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11173(a,1),7368(a,1,2,2)),flip(a)]. 11175 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11162,a,11171,a),flip(a)]. 11177 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [para(11171(a,2),7959(a,1,2))]. 11178 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11171(a,1),11162(a,1))]. 11179 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(402(a,1),11175(a,1,1)),flip(a)]. 11180 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11175(a,1),5685(a,1,2))]. 11182 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(220,a,11159,a,b,11172,a),flip(a)]. 11183 a(x,y,K(y * z,z)) = 1. [hyper(220,a,6114,a(flip),b,11172,a(flip))]. 11184 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11172(a,1),10681(a,2,2))]. 11185 a(x,y,K(z,y \ z)) = 1. [para(17(a,1),11183(a,1,3,1))]. 11187 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(402(a,1),11179(a,1,2))]. 11188 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(21,a,11159,a,b,11182,a),flip(a)]. 11189 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(17(a,1),11188(a,1,2,2))]. 11190 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10573(a,1),11189(a,2,2))]. 11191 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(17(a,1),11187(a,1,2)),flip(a)]. 11192 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(17(a,1),11191(a,1,1)),flip(a)]. 11193 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(220,a,11153,a(flip),b,11192,a(flip))]. 11194 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1292(a,2),11193(a,1,2))]. 11195 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(220,a,9136,a(flip),b,11149,a(flip))]. 11196 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(220,a,11192,a(flip),b,11152,a(flip)),flip(a)]. 11197 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10608(a,1),11165(a,1))]. 11199 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(220,a,11180,a(flip),b,11161,a(flip)),flip(a)]. 11200 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4625(a,1),11199(a,1,1))]. 11201 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(220,a,10648,a,b,11174,a),flip(a)]. 11202 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11201(a,2),22(a,1))]. 11203 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(5941(a,1),11157(a,1,1))]. 11204 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(220,a,11004,a(flip),b,11195,a(flip)),flip(a)]. 11205 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(220,a,6534,a(flip),b,11203,a)]. 11206 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11205(a,1),7969(a,1,1))]. 11207 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6342(a,1),11130(a,1,1,2)),flip(a)]. 11208 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(220,a,6206,a(flip),b,11207,a)]. 11209 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1296(a,1),11208(a,1,1))]. 11210 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11209(a,1),9296(a,2,2))]. 11211 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(220,a,6226,a(flip),b,11210,a)]. 11212 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5242(a,1),11155(a,1,2))]. 11213 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11175(a,1),11212(a,1,2,1))]. 11214 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4875(a,1),11213(a,1,2))]. 11215 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11168(a,1),11214(a,1,2)),flip(a)]. 11216 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(220,a,11002,a(flip),b,11190,a(flip))]. 11217 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(220,a,11138,a(flip),b,11216,a)]. 11218 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(220,a,11149,a(flip),b,11217,a(flip)),flip(a)]. 11219 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(220,a,11002,a(flip),b,11218,a(flip)),flip(a)]. 11220 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(220,a,11204,a(flip),b,11219,a(flip)),flip(a)]. 11221 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(35(a,2),11220(a,2,1,2))]. 11222 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(220,a,10950,a(flip),b,11221,a(flip)),flip(a)]. 11223 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11222(a,1),5244(a,1,2,1)),flip(a)]. 11224 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11222(a,1),10924(a,1,1,2,2))]. 11225 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(220,a,5244,a(flip),b,11223,a)]. 11226 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1292(a,2),11196(a,1,2))]. 11227 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11225(a,1),11224(a,1,2,1,1))]. 11228 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(220,a,10924,a(flip),b,11227,a(flip))]. 11229 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6055(a,1),6898(a,2,1,1))]. 11230 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5114(a,1),11229(a,2,1))]. 11232 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6897(a,1),11230(a,1,2,1))]. 11233 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(9828(a,1),11232(a,1,2,1))]. 11234 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11233(a,1),6058(a,1,2))]. 11236 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(220,a,6080,a(flip),b,11234,a(flip)),flip(a)]. 11238 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9290(a,1),9293(a,1,2,1,1)),flip(a)]. 11239 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(220,a,2342,a(flip),b,11238,a)]. 11241 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(977(a,1),11239(a,2,1))]. 11242 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(977(a,1),11241(a,1,1))]. 11243 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11242(a,1),11158(a,1,2,2))]. 11244 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(167(a,1),10109(a,1,1)),flip(a)]. 11245 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10278(a,1),10279(a,1,1,2))]. 11246 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(7571(a,1),11245(a,1,1))]. 11247 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(45(a,2),11246(a,1,2))]. 11248 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(195(a,1),11247(a,1,2,1))]. 11249 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(220,a,8723,a(flip),b,11248,a(flip)),flip(a)]. 11250 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4421(a,1),10669(a,1,2))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4739(a,1),11250(a,1,2))]. 11252 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(220,a,9897,a(flip),b,11251,a(flip))]. 11254 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(150(a,1),11252(a,1,2,2,1))]. 11255 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11254(a,1),4378(a,1,2))]. 11256 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(11067,a,11255,a)]. 11257 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11255(a,1),9059(a,2,1))]. 11258 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(16(a,1),11053(a,2,1,1))]. 11259 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(220,a,8748,a(flip),b,11258,a)]. 11261 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(16(a,1),11259(a,1,1,1))]. 11262 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(16(a,1),11261(a,1,2,2))]. 11263 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5765(a,1),11262(a,1,2,1,3))]. 11264 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(8921(a,1),11200(a,1,2))]. 11265 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4152(a,1),11264(a,1,2)),flip(a)]. 11266 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(41(a,1),11265(a,2,2))]. 11267 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(220,a,7545,a(flip),b,11266,a)]. 11268 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11175(a,1),11267(a,2,1))]. 11269 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(220,a,10054,a(flip),b,11268,a)]. 11270 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7222(a,1),11269(a,1,2,3))]. 11271 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4099(a,1),11270(a,1,2,3))]. 11272 (x * (K(y \ 1,y) * z)) \ (K(y \ 1,y) * (x * (z * u))) = L(u,L(z,K(y \ 1,y),x),x * K(y \ 1,y)). [hyper(220,a,3563,a(flip),b,4679,a(flip)),flip(a)]. 11273 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [hyper(220,a,5790,a(flip),b,5385,a)]. 11274 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(4778(a,1),11273(a,1,1))]. 11275 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(7438(a,1),11274(a,1,1,2))]. 11276 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(6107(a,1),11275(a,2,2))]. 11277 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(5329(a,1),11276(a,2,2))]. 11278 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [para(11277(a,1),19(a,1,1))]. 11279 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(21,a,5747,a(flip),b,11278,a)]. 11281 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(78,a,11279,a)]. 11282 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(7951(a,1),11281(a,1,2,2))]. 11283 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),7125(a,1,1,2))]. 11284 K(x,T(y,z)) \ K((z * x) / z,K(y,T(x,z))) = ((((z * (x * K(y,x))) / z) / ((z * x) / z)) \ 1) \ 1. [para(7414(a,1),8394(a,1,1))]. 11285 K(x,T(y,z)) \ K(y,K((z * x) / z,T(x,z))) = ((((z * (x * K(y,x))) / z) / ((z * x) / z)) \ 1) \ 1. [para(7873(a,1),11284(a,1,2))]. 11286 K(x,T(y,z)) \ K(y,K(x,T(T(x,z),z))) = ((((z * (x * K(y,x))) / z) / ((z * x) / z)) \ 1) \ 1. [para(8066(a,1),11285(a,1,2,2))]. 11287 K(x,T(y,z)) \ K(y,1) = ((((z * (x * K(y,x))) / z) / ((z * x) / z)) \ 1) \ 1. [para(352(a,1),11286(a,1,2,2))]. 11288 ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ 1) \ 1 = K(y,T(z,x)) \ 1. [para(142(a,1),11287(a,1,2)),flip(a)]. 11290 ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ 1) \ 1 = K(z,T(y,x)) * 1. [hyper(220,a,7443,a(flip),b,11288,a)]. 11292 ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ 1) \ 1 != u | K(z,T(y,x)) = u. [para(11290(a,2),83(a,1)),flip(b)]. 11293 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(220,a,6795,a(flip),b,8727,a(flip))]. 11295 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(220,a,3448,a(flip),b,11293,a)]. 11296 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2497(a,1),11295(a,1,2,1)),flip(a)]. 11298 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(220,a,10813,a(flip),b,9350,a(flip)),flip(a)]. 11299 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(9909,a,11298,a)]. 11302 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9348(a,1),11299(a,2,2,2))]. 11303 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),11302(a,2,2,2,1))]. 11304 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),11303(a,2,2))]. 11306 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(220,a,10799,a(flip),b,11304,a)]. 11307 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(220,a,9910,a(flip),b,11306,a(flip))]. 11308 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11306(a,1),4291(a,1))]. 11310 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9364(a,1),9365(a,2,2,1,1))]. 11311 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(66(a,1),11310(a,2,2,1))]. 11313 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(220,a,3511,a(flip),b,11311,a)]. 11314 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(66(a,1),11313(a,1,1,2,1))]. 11315 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3511(a,1),11314(a,1,1))]. 11316 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6498,a,11315,a)]. 11317 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11316(a,1),4327(a,1,1,1))]. 11318 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,657,a(flip),b,11317,a(flip)),flip(a)]. 11319 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(114(a,1),11318(a,1,1,2))]. 11320 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(27(a,2),11319(a,1,1)),flip(a)]. 11321 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(220,a,10688,a(flip),b,11320,a),flip(a)]. 11322 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(27(a,2),11321(a,2,1,1)),flip(a)]. 11323 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5242(a,1),9715(a,1,1,2))]. 11324 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(425(a,1),10454(a,1,2)),flip(a)]. 11325 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(10465,a,11324,a),flip(a)]. 11326 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(9134(a,1),10925(a,1,2,1,1))]. 11327 K(x \ 1,x) * ((y * (K(x \ 1,x) * z)) \ (y * (z * u))) = L(u,L(z,K(x \ 1,x),y),y * K(x \ 1,x)). [hyper(4505,a,11272,a)]. 11328 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(4721(a,2),11283(a,1,1,2,1))]. 11329 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(6521(a,1),11323(a,1,1))]. 11330 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(220,a,10924,a(flip),b,11326,a(flip))]. 11331 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(10240,a,11330,a),flip(a)]. 11332 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(10047,a,11331,a)]. 11333 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(10134,a,11332,a),flip(a)]. 11334 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11333(a,1),10546(a,1,1))]. 11335 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(220,a,10545,a(flip),b,11334,a(flip)),flip(a)]. 11336 L(x,L(y,K(z \ 1,z),u),u * K(z \ 1,z)) = L(x,K(z \ 1,z) * y,u). [hyper(4693,a,11327,a),flip(a)]. 11337 L(x,K(y \ 1,y) * z,u) = L(x,z,u * K(y \ 1,y)). [para(4678(a,1),11336(a,1,2)),flip(a)]. 11338 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [hyper(220,a,3871,a(flip),b,11337,a)]. 11341 L(x,1 / y,z) = L(x,y \ 1,z). [para(1738(a,1),11338(a,1,2)),flip(a)]. 11342 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(2513(a,1),11338(a,1,2))]. 11344 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2592(a,1),11338(a,1,2)),flip(a)]. 11345 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6489(a,1),11338(a,1,2))]. 11346 L(x,y \ 1,T(z,z \ u)) = L(x,1 / y,(z \ u) \ u). [hyper(220,a,1369,a,b,11341,a),flip(a)]. 11348 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(11341(a,1),103(a,1,2))]. 11349 L(x,((y \ z) \ z) \ 1,u) = L(x,1 / T(y,y \ z),u). [para(559(a,1),11341(a,2,2)),flip(a)]. 11350 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6523(a,1),11342(a,1,2))]. 11351 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8397(a,1),11344(a,1,2,2)),flip(a)]. 11352 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(66(a,1),11348(a,1,2,2))]. 11353 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(220,a,6081,a(flip),b,11346,a(flip))]. 11354 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(11352(a,1),22(a,1)),flip(a)]. 11358 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(220,a,11349,a,b,11353,a(flip))]. 11359 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(220,a,11236,a(flip),b,11358,a(flip))]. 11363 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11359(a,1),9656(a,1,2,1))]. 11364 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(6425,a,11363,a),flip(a)]. 11366 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(220,a,9952,a(flip),b,11364,a(flip)),flip(a)]. 11367 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6921(a,1),11351(a,1,2,2)),flip(a)]. 11368 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11328(a,1,1))]. 11369 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11368(a,1,1,2))]. 11370 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(7103(a,1),11369(a,1,1,2,2))]. 11371 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(6541,a,11370,a),flip(a)]. 11372 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(220,a,7285,a(flip),b,11371,a)]. 11373 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(220,a,7134,a(flip),b,11372,a(flip))]. 11374 K(L(x \ y,z,u) \ (w \ 1),w) = L(K(y \ (w \ x),w),z,u). [hyper(220,a,7687,a(flip),b,11373,a(flip))]. 11375 L(K(1 \ (x \ y),x),T(y,z),u) = K(L(y \ 1,y,u) \ (x \ 1),x). [para(9290(a,1),11374(a,1,1,1)),flip(a)]. 11376 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(1 \ (x \ y),x),y,u). [hyper(220,a,11374,a(flip),b,11375,a)]. 11377 L(K(1 \ (x \ y),x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11376(a,2,1,1))]. 11378 L(K(x \ y,x),T(y,z),u) = L(K(x \ y,x),y,u). [para(54(a,1),11377(a,1,1,1))]. 11379 (x * y) * L(K(z \ x,z),x,y) = y * (T(x,y) * K(z \ x,z)). [para(11378(a,1),395(a,1,2))]. 11380 (x * y) * L(K(z \ x,z),x,y) = y * (K(x,y) * ((z \ x) * z)). [para(5090(a,2),11379(a,2,2))]. 11381 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7874(a,1),8554(a,1,1,2))]. 11383 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6255(a,1),8643(a,1,1)),flip(a)]. 11384 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(220,a,5220,a(flip),b,11383,a)]. 11386 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(220,a,4875,a(flip),b,11384,a)]. 11387 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6255(a,1),11386(a,1,2))]. 11388 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(220,a,7313,a(flip),b,11387,a(flip)),flip(a)]. 11390 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(220,a,11168,a(flip),b,11388,a)]. 11391 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11390(a,1),4894(a,1,1))]. 11392 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11390(a,1),4939(a,1,1))]. 11393 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(220,a,7888,a(flip),b,10894,a(flip))]. 11394 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7879,a,11393,a)]. 11396 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(9102(a,1),11394(a,1,2))]. 11397 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(220,a,9093,a(flip),b,11396,a(flip)),flip(a)]. 11398 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8089(a,1),10907(a,1,1))]. 11399 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(11039(a,1),11398(a,1,1))]. 11400 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6261(a,1),11399(a,1,2))]. 11401 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8774(a,1),11400(a,1,2))]. 11402 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(7480(a,1),11012(a,1,2,1))]. 11404 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8022(a,1),11381(a,1,1)),flip(a)]. 11405 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7345(a,2),11404(a,2,2))]. 11406 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(220,a,7449,a(flip),b,11405,a)]. 11407 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7893(a,1),11406(a,1,1))]. 11408 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(220,a,6151,a(flip),b,11407,a(flip))]. 11419 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(11011,a,11402,a),flip(a)]. 11420 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(6935,a,11419,a),flip(a)]. 11421 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(220,a,4724,a,b,11420,a(flip)),flip(a)]. 11422 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(7675(a,1),11421(a,1,1))]. 11423 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(220,a,599,a(flip),b,11422,a(flip)),flip(a)]. 11424 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(11423(a,1),17(a,1,2))]. 11425 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(213,a,11424,a),flip(a)]. 11426 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,10723,a,b,11425,a)]. 11428 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(220,a,10737,a(flip),b,11426,a(flip)),flip(a)]. 11429 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),11426(a,1,2)),flip(a)]. 11430 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,5238,a(flip),b,11428,a)]. 11431 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,10733,a,b,11429,a),flip(a)]. 11434 (x * y) * K(z \ x,z) = x * (y * K(z \ x,z)). [para(11431(a,1),103(a,1,2))]. 11436 L(x,y,K(z,z \ y)) = x. [hyper(5096,a,11430,a)]. 11437 L(x,y * z,K(z,y)) = x. [para(4987(a,1),11436(a,1,3))]. 11438 L(x,T(y,z),z) = L(x,y,z). [hyper(6737,a,11437,a)]. 11439 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(220,a,10722,a,b,11437,a),flip(a)]. 11440 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(220,a,9349,a(flip),b,11437,a(flip)),flip(a)]. 11441 K(x,y) * ((y * x) * z) = (x * y) * z. [para(11437(a,1),4981(a,1,2)),flip(a)]. 11443 L(x,y / z,z) = L(x,z \ y,z). [para(120(a,1),11438(a,1,2)),flip(a)]. 11446 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11438(a,1),395(a,1,2))]. 11448 L(x,y,T(z,y)) = L(x,y,z). [para(4928(a,1),11440(a,1,3)),flip(a)]. 11451 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u). [hyper(220,a,10229,a(flip),b,11448,a(flip)),flip(a)]. 11452 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(220,a,1369,a(flip),b,11448,a(flip)),flip(a)]. 11453 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(11443(a,1),11194(a,1,2))]. 11454 K(x,y * z) \ ((x * y) * z) = ((y * z) * x) * a(x,y,z). [hyper(71,a,94,a(flip),b,11441,a)]. 11455 K(x,y) * (x \ ((y * x) * z)) = x \ ((x * y) * z). [hyper(71,a,11441,a(flip),b,4189,a),flip(a)]. 11456 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [para(118(a,1),11441(a,1,2))]. 11459 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11446,a)]. 11460 L(x,K(y,z),z * y) * (u * w) = K(u,w) * ((w * u) * T(x,u * w)). [para(11439(a,2),5956(a,2,1)),flip(a)]. 11461 (x * y) * L(K(z \ x,z),x,u) = x * (y * K(z \ x,z)). [para(10522(a,2),11434(a,1,2))]. 11466 K(x,y \ (x \ ((z * x) * u))) = K(x,y \ (x \ ((x * z) * u))). [para(11455(a,1),9074(a,1,2,2)),flip(a)]. 11467 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(220,a,10533,a,b,11456,a(flip)),flip(a)]. 11468 (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). [hyper(71,a,10533,a,b,11456,a(flip))]. 11469 T(x * (y * z),K(z,y)) = (y * z) * T(x,z * y). [hyper(7983,a,11467,a)]. 11471 T(x,T(y * z,z)) = T(x,z * y). [hyper(220,a,8161,a(flip),b,11468,a(flip)),flip(a)]. 11472 T(x,T(x * y,y)) = T(x,x * y). [hyper(220,a,4595,a(flip),b,11471,a)]. 11473 T(x * K(y,x),y * z) = T(x,z * y) * K(y,x). [hyper(220,a,8681,a(flip),b,11471,a(flip))]. 11474 T(x,T(y * z,y)) = T(x,z * y). [hyper(8680,a,11473,a)]. 11475 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(220,a,8158,a,b,11474,a(flip)),flip(a)]. 11476 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7973,a,11475,a)]. 11480 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(220,a,8348,a(flip),b,11454,a(flip))]. 11481 x * (K(y,x) * ((z \ y) * z)) = y * (x * K(z \ y,z)). [hyper(220,a,11380,a(flip),b,11461,a(flip)),flip(a)]. 11482 K(x,y) * (y * ((z \ x) * z)) = x * (y * K(z \ x,z)). [hyper(5456,a,11481,a)]. 11484 (x * K(y \ z,y)) * z = x * ((y \ z) * y). [hyper(8720,a,11482,a)]. 11485 R(x,K(y \ z,y),z) = x. [hyper(5199,a,11484,a)]. 11487 R(x,K(y,z),z * y) = x. [para(16(a,1),11485(a,1,2,1))]. 11488 R(x,K(y,y \ z),z) = x. [para(5148(a,1),11485(a,1,2))]. 11489 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(220,a,6207,a(flip),b,11487,a(flip)),flip(a)]. 11490 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(11488(a,1),5095(a,1,1)),flip(a)]. 11493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(220,a,218,a(flip),b,11489,a(flip))]. 11495 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(19(a,1),11493(a,1,1,2))]. 11496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(11493(a,1),7549(a,1,2))]. 11498 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [hyper(220,a,10516,a,b,11490,a)]. 11499 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(220,a,8678,a,b,11495,a(flip)),flip(a)]. 11501 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(10830,a,11498,a)]. 11502 K(x,(y * z) / (y * ((x \ y) \ z))) = K(x,x \ y). [hyper(10743,a,11501,a)]. 11503 K(x,x \ L(y,z,y)) = K(x,x \ y). [hyper(220,a,10644,a(flip),b,11501,a(flip)),flip(a)]. 11505 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(11499(a,1),66(a,1,1)),flip(a)]. 11507 K(x,((y * x) * z) / ((y * x) * (T(y,x) \ z))) = K(x,x \ (y * x)). [para(35(a,2),11502(a,1,2,2,2,1))]. 11508 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(11505(a,2),3129(a,2,1))]. 11509 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u). [hyper(220,a,10229,a(flip),b,11451,a)]. 11511 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9646(a,2),11508(a,2,1,1,2,1)),flip(a)]. 11512 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,x \ (y * x)). [hyper(220,a,9232,a(flip),b,11507,a(flip)),flip(a)]. 11513 K(x,((y * x) * z) / ((y * x) * (y \ z))) = K(x,y). [hyper(220,a,4987,a(flip),b,11512,a)]. 11514 L(K(x,y),z,y * x) = K(x,y). [hyper(10711,a,11513,a)]. 11517 K(x,R(y,x,z)) = K(x,y). [hyper(220,a,10714,a(flip),b,11514,a(flip)),flip(a)]. 11518 K(R(x,y,z),y) = K(x,y). [hyper(10848,a,11517,a)]. 11520 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(220,a,7686,a,b,11517,a(flip)),flip(a)]. 11521 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(220,a,9264,a(flip),b,11517,a(flip)),flip(a)]. 11522 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(49(a,1),11517(a,1,2))]. 11525 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(220,a,11518,a,b,11518,a)]. 11528 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(220,a,9925,a(flip),b,11518,a(flip)),flip(a)]. 11535 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11525(a,1),8630(a,1,2)),flip(a)]. 11537 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(11496,a,11521,a)]. 11539 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(220,a,9915,a(flip),b,11521,a(flip)),flip(a)]. 11540 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(220,a,8388,a(flip),b,11521,a(flip))]. 11541 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(220,a,8390,a,b,11528,a(flip)),flip(a)]. 11542 T(x,R(y,x,z)) = T(x,y). [hyper(220,a,9005,a(flip),b,11535,a)]. 11543 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(446(a,1),11542(a,1,2))]. 11544 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11537(a,1),9919(a,1,2))]. 11545 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11541(a,1),7478(a,1,1))]. 11546 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(220,a,6875,a,b,11522,a(flip)),flip(a)]. 11548 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(220,a,9245,a(flip),b,11539,a(flip))]. 11549 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7402,a,11545,a)]. 11550 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(220,a,9201,a(flip),b,11549,a(flip)),flip(a)]. 11551 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11550(a,1),6169(a,1,1,2)),flip(a)]. 11552 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(220,a,11540,a(flip),b,11548,a(flip))]. 11553 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11552(a,1),6887(a,1))]. 11554 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4804,a,11544,a),flip(a)]. 11555 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(220,a,6169,a(flip),b,11551,a)]. 11556 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7503,a,11555,a)]. 11557 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(63(a,1),11556(a,1,2,1,2)),flip(a)]. 11558 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11517(a,1),11546(a,1,1))]. 11560 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11553,a,11335,a),flip(a)]. 11561 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(220,a,6974,a(flip),b,11560,a(flip))]. 11562 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(33(a,2),11561(a,1,2,1)),flip(a)]. 11563 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(444(a,1),11562(a,2,2,1))]. 11564 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5076(a,1),11562(a,1,1)),flip(a)]. 11565 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5401(a,1),11562(a,1,1)),flip(a)]. 11566 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(220,a,5400,a,b,11565,a(flip)),flip(a)]. 11572 L(x,K(y,z),z * y) * (u * w) = K(u,w) * T(x * (w * u),K(u,w)). [para(11469(a,2),11460(a,2,2))]. 11573 L(x,K(y,z),z * y) * (u * w) = (x * (w * u)) * K(u,w). [hyper(220,a,118,a(flip),b,11572,a)]. 11574 L(x,y * z,K(z,y)) * (u * w) = (x * (w * u)) * K(u,w). [para(11439(a,1),11573(a,1,1))]. 11575 L(x,y * z,K(z,y)) = ((x * (u * w)) * K(w,u)) / (w * u). [hyper(87,a,11574,a),flip(a)]. 11576 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(220,a,45,a,b,11543,a(flip)),flip(a)]. 11577 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(220,a,4088,a(flip),b,11576,a)]. 11578 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(220,a,45,a,b,11577,a)]. 11579 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11554(a,1),11578(a,1,1))]. 11580 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),11579(a,1,1,2,2)),flip(a)]. 11581 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(5667,a,11580,a),flip(a)]. 11582 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11580(a,1),5217(a,1,2,1))]. 11583 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(220,a,889,a(flip),b,11581,a(flip)),flip(a)]. 11584 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(16(a,1),11581(a,1,1,2)),flip(a)]. 11585 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(524(a,1),11581(a,1,1)),flip(a)]. 11588 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5490(a,1),11583(a,2,1))]. 11590 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11585(a,1),6942(a,1,2,1)),flip(a)]. 11591 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1329(a,1),11584(a,1,1)),flip(a)]. 11592 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11590(a,1),11562(a,1,1))]. 11593 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(220,a,167,a(flip),b,11591,a)]. 11594 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(45(a,2),11593(a,2,1))]. 11595 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(220,a,613,a(flip),b,11594,a)]. 11596 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11595(a,1),4837(a,1,1))]. 11597 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,11596,a),flip(a)]. 11598 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7813,a,11597,a)]. 11599 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(220,a,8950,a,b,11598,a)]. 11600 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11599(a,1),10993(a,1,1,2))]. 11601 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11564(a,1),11592(a,1,1)),flip(a)]. 11602 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5400(a,1),11563(a,1,1))]. 11603 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5957,a,11582,a),flip(a)]. 11605 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11603(a,1),4938(a,1,1,2))]. 11606 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5480(a,1),11600(a,1,1))]. 11607 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6442(a,1),11606(a,1,1,1,2))]. 11608 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(220,a,45,a,b,11607,a(flip)),flip(a)]. 11609 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5364(a,1),11608(a,1,1)),flip(a)]. 11610 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(220,a,10991,a(flip),b,11609,a(flip)),flip(a)]. 11611 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11609(a,1),11098(a,1,2))]. 11612 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11610(a,1),425(a,1,1)),flip(a)]. 11613 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(220,a,114,a(flip),b,11612,a)]. 11614 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9479(a,1),11613(a,1,1,1)),flip(a)]. 11615 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11613(a,1),11325(a,1,2))]. 11616 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(220,a,7078,a(flip),b,11588,a)]. 11617 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7076(a,1),11616(a,1,1)),flip(a)]. 11618 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11617(a,1),10459(a,1,2))]. 11619 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5480(a,1),11605(a,1,1))]. 11620 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(220,a,45,a,b,11619,a(flip)),flip(a)]. 11621 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4938(a,1),11620(a,1,1)),flip(a)]. 11622 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(220,a,47,a(flip),b,11621,a)]. 11623 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11622(a,1),1076(a,1,1,1)),flip(a)]. 11624 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4589(a,1),11618(a,1,2,1)),flip(a)]. 11625 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(220,a,1076,a(flip),b,11623,a)]. 11626 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(45(a,2),11625(a,2,3))]. 11628 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(11068(a,1),4651(a,1,2,1))]. 11629 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(220,a,9837,a(flip),b,11628,a)]. 11630 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11256(a,1),11629(a,1,1))]. 11631 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(220,a,11257,a,b,11630,a(flip)),flip(a)]. 11632 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6267(a,1),11631(a,1,1))]. 11633 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(220,a,5568,a(flip),b,11632,a(flip))]. 11634 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(220,a,9848,a(flip),b,11633,a(flip)),flip(a)]. 11635 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11634(a,1),66(a,1,1))]. 11636 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11635(a,1),2291(a,1,1))]. 11637 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(118(a,1),11636(a,1,1,1)),flip(a)]. 11638 K(((x * y) \ x) \ 1,x) / (((y * x) \ x) \ 1) = 1 / (((x * y) \ x) \ 1). [para(11637(a,1),4796(a,1,2))]. 11639 K(((x * y) \ x) \ 1,z) / T(((x * y) \ x) \ 1,x) = (1 / (((y * x) \ x) \ 1)) * K(((x * y) \ x) \ 1,z). [para(11637(a,1),6680(a,1,1,2)),flip(a)]. 11640 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10272(a,1),11637(a,1,1,1)),flip(a)]. 11641 K(x,y) / (((x * y) \ y) \ 1) = 1 / (((y * x) \ y) \ 1). [para(6260(a,1),11638(a,1,1))]. 11642 K(x,y) / (((x * y) \ y) \ 1) = (y * x) \ y. [hyper(220,a,63,a(flip),b,11641,a)]. 11645 K(((x * y) \ x) \ 1,z) / T(((x * y) \ x) \ 1,x) = ((y * x) \ x) * K(((x * y) \ x) \ 1,z). [hyper(220,a,132,a(flip),b,11639,a)]. 11647 K(((x * y) \ x) \ 1,z) / T(((x * y) \ x) \ 1,x) = ((y * x) \ x) * K(y,z). [para(6260(a,1),11645(a,2,2))]. 11648 K(x,y) / T(((z * x) \ z) \ 1,z) = ((x * z) \ z) * K(x,y). [para(6260(a,1),11647(a,1,1))]. 11651 K(x,y) / (((x * z) \ z) \ 1) = ((x * z) \ z) * K(x,y). [para(11637(a,1),11648(a,1,2))]. 11652 ((x * y) \ y) * K(x,y) = (y * x) \ y. [hyper(220,a,11642,a(flip),b,11651,a(flip))]. 11653 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(19(a,1),11652(a,1,1,1))]. 11654 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(17(a,1),6716(a,2,2,1,2))]. 11655 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(220,a,172,a(flip),b,11654,a)]. 11656 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(172(a,1),11655(a,1,2))]. 11657 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5242(a,1),11656(a,1,2,2))]. 11658 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(220,a,2342,a(flip),b,11657,a)]. 11659 ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ 1) \ 1 = (((x * y) / x) * K(z,T(y,x))) / ((x * y) / x). [para(2435(a,1),8395(a,1,1,2)),flip(a)]. 11660 ((((x * (y * K(z,y))) / x) / ((x * y) / x)) \ 1) \ 1 = ((x * (y * K(z,y))) / x) / ((x * y) / x). [para(8133(a,1),11659(a,2,1))]. 11661 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(z,T(y,x)). [hyper(11292,a,11660,a),flip(a)]. 11662 K(x,T(y,z)) * ((z * y) / z) = (z * (y * K(x,y))) / z. [para(11661(a,1),19(a,1,1))]. 11663 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(7528,a,11662,a)]. 11664 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(11663(a,1),5244(a,1,2))]. 11666 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5501(a,1),11664(a,1,2,1,2,2)),flip(a)]. 11667 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(10158(a,1),11664(a,1,2,1,2,2)),flip(a)]. 11668 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(220,a,11664,a(flip),b,11666,a)]. 11669 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(66(a,1),11668(a,1,2,1,1)),flip(a)]. 11670 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(11669(a,1),10906(a,1,1))]. 11671 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(220,a,11664,a(flip),b,11667,a)]. 11672 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8237(a,1),11671(a,1,2,1,2,1))]. 11673 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(220,a,9928,a(flip),b,11672,a(flip))]. 11675 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(220,a,9168,a(flip),b,11673,a(flip)),flip(a)]. 11676 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9116,a,11675,a),flip(a)]. 11677 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,y * x). [hyper(6597,a,11675,a),flip(a)]. 11678 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(11675(a,1),6597(a,1))]. 11679 K(x,((x * y) * z) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),11676(a,1,2,1,1)),flip(a)]. 11680 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(55(a,1),11676(a,1,2,2))]. 11681 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(220,a,11366,a(flip),b,11680,a(flip)),flip(a)]. 11682 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,x * y). [hyper(220,a,10738,a(flip),b,11679,a(flip))]. 11683 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(220,a,6529,a(flip),b,11681,a(flip))]. 11684 L(K(x,y),z,z \ 1) != u | L(K(x,y),z,z \ x) = u. [para(11683(a,1),9225(a,1))]. 11685 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11684,a,11147,a)]. 11686 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11162,a,11685,a),flip(a)]. 11687 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11452(a,1),11686(a,2,2))]. 11688 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(220,a,11226,a(flip),b,11687,a(flip))]. 11689 L(K(x,y),z,u * x) = L(K(x,y),z,x * u). [hyper(220,a,11677,a(flip),b,11682,a(flip)),flip(a)]. 11690 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(220,a,11453,a(flip),b,11688,a(flip))]. 11693 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(220,a,9427,a(flip),b,11690,a(flip)),flip(a)]. 11694 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(71,a,11690,a(flip),b,9460,a(flip))]. 11698 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(66(a,1),11694(a,1,1,2))]. 11699 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(16(a,1),11693(a,1,1,1,1,1))]. 11700 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11693(a,1),9463(a,2,1))]. 11706 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3818(a,1),11670(a,1,1))]. 11707 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(10901(a,1),11706(a,1,1))]. 11708 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5492(a,1),11707(a,1,2))]. 11709 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(7413(a,1),11708(a,1,2))]. 11710 T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(9124(a,1),9125(a,1,2,1,1))]. 11711 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [hyper(1864,a,11710,a),flip(a)]. 11712 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(66(a,1),11711(a,2,1,2,1))]. 11713 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4746(a,1),11712(a,2,1))]. 11714 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(66(a,1),11713(a,1,1,2,1))]. 11715 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4746(a,1),11714(a,1,1))]. 11716 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1764(a,1),9800(a,1,1))]. 11717 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(220,a,7095,a(flip),b,11716,a)]. 11719 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11717(a,1),17(a,1,2))]. 11720 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11719(a,1),11329(a,1,1))]. 11721 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(9714(a,1),11720(a,1,2))]. 11722 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1026,a,11721,a)]. 11723 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(220,a,5242,a(flip),b,11722,a)]. 11724 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(220,a,9160,a,b,11723,a(flip)),flip(a)]. 11725 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2931,a,11724,a),flip(a)]. 11726 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(220,a,8064,a(flip),b,11725,a(flip))]. 11728 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10035,a,11726,a),flip(a)]. 11730 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11728(a,1),9555(a,1,1))]. 11731 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5122,a,11730,a)]. 11732 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9479(a,1),11730(a,1,2,2))]. 11733 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11731(a,1),10808(a,1))]. 11734 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10807(a,1),11732(a,1,2))]. 11735 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5265,a,11734,a)]. 11736 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11733,a,11735,a)]. 11738 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11736(a,1),10822(a,1,1)),flip(a)]. 11739 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11738(a,1),11322(a,1,1))]. 11741 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(220,a,11322,a(flip),b,11739,a(flip))]. 11742 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(220,a,7729,a,b,11741,a),flip(a)]. 11743 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6657(a,1),11742(a,1,1,2))]. 11744 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(530(a,1),11743(a,1,1))]. 11745 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(173(a,1),11744(a,1,2)),flip(a)]. 11746 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(220,a,1076,a(flip),b,11745,a)]. 11747 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(45(a,2),11746(a,2,3))]. 11748 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11741,a(flip),b,11747,a(flip)),flip(a)]. 11749 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(220,a,11736,a(flip),b,11748,a(flip)),flip(a)]. 11751 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(220,a,11307,a(flip),b,11749,a(flip))]. 11753 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(220,a,11626,a,b,11751,a(flip)),flip(a)]. 11754 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10433,a,11753,a)]. 11756 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11754(a,1),11624(a,1,2)),flip(a)]. 11757 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),11756(a,2,2,2))]. 11758 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10835(a,1),11757(a,2,2))]. 11759 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(220,a,11611,a(flip),b,11758,a(flip)),flip(a)]. 11760 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(378(a,1),11759(a,1,2,3))]. 11761 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(282,a,11760,a),flip(a)]. 11762 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(220,a,11754,a(flip),b,11761,a(flip))]. 11763 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11762(a,1),10837(a,1,1))]. 11764 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(220,a,9752,a(flip),b,11763,a(flip)),flip(a)]. 11765 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(220,a,10460,a(flip),b,9898,a(flip)),flip(a)]. 11766 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(9375,a,11765,a(flip)),flip(a)]. 11767 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(10388(a,1),11766(a,1,2))]. 11768 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(19(a,1),11767(a,1,1,2))]. 11769 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(5741(a,1),8965(a,1,1,1))]. 11770 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(4083(a,1),11769(a,1,1)),flip(a)]. 11771 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(220,a,4605,a(flip),b,11770,a)]. 11772 K(x,x \ ((y \ z) \ z)) = K(x,x \ T(y,z)). [para(11771(a,1),11503(a,1,2,2)),flip(a)]. 11773 K(x,(y \ z) \ (x \ z)) = K(x,x \ T(y,z)). [hyper(10549,a,11772,a)]. 11774 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(220,a,11557,a(flip),b,11773,a(flip))]. 11775 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(220,a,9567,a,b,11774,a(flip)),flip(a)]. 11776 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11775(a,1),4812(a,2,1)),flip(a)]. 11777 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(220,a,8714,a(flip),b,11776,a(flip))]. 11778 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11777(a,2),5611(a,1,2))]. 11779 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(213,a,11778,a)]. 11780 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11779(a,1),9482(a,1,1))]. 11781 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11780(a,1),11042(a,1,1)),flip(a)]. 11782 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(220,a,9209,a(flip),b,11781,a)]. 11783 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(220,a,4937,a(flip),b,11782,a(flip))]. 11784 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(18(a,1),11783(a,2,1))]. 11785 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(35(a,2),11784(a,1,3))]. 11786 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11785(a,1),4891(a,1,2))]. 11787 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(220,a,10630,a(flip),b,11786,a(flip))]. 11788 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(220,a,425,a(flip),b,9589,a)]. 11789 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(220,a,1643,a(flip),b,11788,a(flip)),flip(a)]. 11790 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5259(a,1),11789(a,1,1,2,1))]. 11791 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5567(a,1),11790(a,1,1,2,1))]. 11792 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8071(a,1),11791(a,1,1,2,1)),flip(a)]. 11793 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(220,a,4178,a(flip),b,11792,a(flip))]. 11795 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11793(a,1),1342(a,2,1,2)),flip(a)]. 11796 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5242(a,1),11795(a,1,1))]. 11797 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9753(a,1),11796(a,1,1))]. 11798 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(274,a,11797,a)]. 11801 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(220,a,6861,a(flip),b,11798,a(flip)),flip(a)]. 11802 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(220,a,7461,a(flip),b,11801,a)]. 11803 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(220,a,9351,a(flip),b,11802,a(flip))]. 11805 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(220,a,9692,a(flip),b,11803,a)]. 11806 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10078,a,11805,a)]. 11808 K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). [hyper(220,a,6322,a,b,11806,a)]. 11809 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. [para(11808(a,2),7389(a,1))]. 11811 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5142(a,1),11658(a,2,1,2,1))]. 11812 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(10597(a,1),11811(a,2,1))]. 11813 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(5906(a,1),11812(a,1,2,2,2,1))]. 11814 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(220,a,11657,a(flip),b,11813,a(flip)),flip(a)]. 11815 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(220,a,11015,a(flip),b,11814,a(flip)),flip(a)]. 11816 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6111(a,1),11815(a,1,3)),flip(a)]. 11817 a(x,y,a(z,u,K(y,w))) = 1. [hyper(37,a,11816,a)]. 11818 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8048(a,1),11817(a,1,3,3))]. 11819 K(x,T(K(y,K(z,u)) * w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(7935(a,1),8840(a,1,2,1))]. 11820 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(10367(a,1),10370(a,1,1,2,1,1)),flip(a)]. 11821 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(16(a,1),11820(a,2,1,2,1))]. 11823 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(10367(a,1),11821(a,1,1)),flip(a)]. 11824 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2129(a,1),11823(a,2,2))]. 11825 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(220,a,10498,a,b,11824,a(flip)),flip(a)]. 11826 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(272,a,11825,a)]. 11827 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5263(a,1),11825(a,1,2)),flip(a)]. 11828 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5263(a,1),11827(a,1,2)),flip(a)]. 11829 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(3884,a,11828,a)]. 11830 T(x,a(K(y,z),u,u \ 1)) = x. [para(11829(a,1),10880(a,1,2))]. 11831 T(x,a(K(y,z),u \ 1,u)) = x. [para(3600(a,1),11830(a,1,2))]. 11832 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(38,a,11831,a)]. 11833 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(220,a,3573,a,b,11832,a)]. 11834 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5262(a,2),11833(a,1,1))]. 11835 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(220,a,8972,a,b,11834,a(flip)),flip(a)]. 11836 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(220,a,7382,a,b,11835,a(flip)),flip(a)]. 11837 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9606,a,11836,a)]. 11838 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2601(a,1),11837(a,1,2,2))]. 11839 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(220,a,7893,a,b,11838,a)]. 11840 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(y,z)). [hyper(220,a,9941,a,b,11838,a(flip)),flip(a)]. 11841 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(436(a,1),11839(a,1,2,2))]. 11842 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5327(a,2),11841(a,1,2))]. 11843 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5338(a,1),11841(a,1,2)),flip(a)]. 11844 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8533,a,11843,a)]. 11845 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7941,a,11843,a)]. 11846 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(19(a,1),11844(a,2,2,2))]. 11847 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5340(a,2),11844(a,1,2))]. 11848 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7879,a,11846,a)]. 11849 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11847(a,1),11170(a,1,3))]. 11850 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(220,a,8463,a(flip),b,11848,a(flip)),flip(a)]. 11852 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11850(a,1),8789(a,1,1))]. 11853 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11850(a,1),8960(a,1,1))]. 11854 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7893(a,1),11853(a,1,1))]. 11856 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(220,a,8556,a(flip),b,11854,a(flip)),flip(a)]. 11857 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(63(a,1),11856(a,1,2,2,2))]. 11858 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7936,a,11852,a)]. 11859 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(63(a,1),11852(a,1,2)),flip(a)]. 11861 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7836(a,1),11858(a,1,1))]. 11862 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7875(a,1),11859(a,2,1))]. 11863 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8791,a,11861,a)]. 11864 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11862(a,1),66(a,1,1))]. 11865 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(9974(a,1),11863(a,1,1,1,1))]. 11866 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(220,a,4887,a,b,11864,a(flip)),flip(a)]. 11867 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(37,a,11866,a)]. 11868 a(K(x * y,K(z,u)),x,y) = 1. [para(16(a,1),11867(a,1,3))]. 11869 a(K(K(x,y),z),u,u \ z) = 1. [para(5626(a,2),11867(a,1,1))]. 11870 a(K(x,K(y,z * u)),z,u) = 1. [para(7836(a,1),11868(a,1,1))]. 11871 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(220,a,7932,a,b,11869,a)]. 11873 (K(x,K(y,z)) * u) * (u \ K(w,z)) = K(w,z) * K(z,K(x,y)). [para(11840(a,1),9470(a,1,2)),flip(a)]. 11874 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11857(a,1),11871(a,2,2))]. 11875 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [hyper(220,a,7876,a(flip),b,11873,a)]. 11877 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(7875(a,2),11875(a,1,1,1))]. 11878 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(72,a,7345,a,b,11877,a)]. 11879 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(66(a,1),11878(a,1,2)),flip(a)]. 11880 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(7936,a,11879,a)]. 11881 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(11880(a,1),6359(a,1,1)),flip(a)]. 11882 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(7837(a,2),11881(a,2,2))]. 11883 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(20,a,9540,a,b,11882,a),flip(a)]. 11885 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7875(a,2),11874(a,2,2))]. 11886 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5626(a,1),11885(a,1,1))]. 11887 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5116(a,2),11865(a,1,1))]. 11888 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7997,a,11887,a)]. 11889 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(220,a,11845,a(flip),b,11888,a(flip)),flip(a)]. 11890 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(19(a,1),11889(a,1,2,2)),flip(a)]. 11891 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(7860,a,11890,a)]. 11892 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5242(a,1),8902(a,1,1,1))]. 11893 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(16(a,1),10285(a,1,1,1)),flip(a)]. 11894 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(220,a,7352,a(flip),b,11893,a)]. 11896 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(10079,a,11894,a(flip)),flip(a)]. 11897 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7503,a,11896,a)]. 11898 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(220,a,10238,a(flip),b,11897,a(flip)),flip(a)]. 11899 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9170,a,11898,a)]. 11900 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(10048,a,11899,a),flip(a)]. 11902 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(220,a,9721,a(flip),b,11900,a(flip)),flip(a)]. 11903 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(7389,a,11902,a),flip(a)]. 11904 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(220,a,9196,a,b,11903,a(flip)),flip(a)]. 11905 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(220,a,11057,a,b,11904,a(flip)),flip(a)]. 11906 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(33(a,2),11905(a,2,2,1))]. 11907 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(220,a,8704,a(flip),b,11906,a(flip))]. 11909 (1 / ((x * y) / x)) \ T(1 / y,1 / (1 / ((x * y) / x))) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(6003(a,1),5426(a,2,1))]. 11910 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3084(a,1),11909(a,1,2))]. 11912 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(2934(a,1),11910(a,1,2)),flip(a)]. 11913 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(220,a,9970,a(flip),b,11912,a)]. 11915 K(x,1 / ((y * x) \ y)) * (z * (1 / ((y * x) \ y))) = (1 / ((y * x) \ y)) * T(z,1 / ((y * x) \ y)). [para(117(a,1),6548(a,1,1)),flip(a)]. 11916 K(x,1 / ((y * x) \ y)) * (z * (1 / ((y * x) \ y))) = (1 / ((y * x) \ y)) * T(z,((y * x) \ y) \ 1). [para(3086(a,1),11915(a,2,2))]. 11917 K(x,1 / ((y * x) \ y)) * (z * (1 / ((y * x) \ y))) = (1 / ((y * x) \ y)) * T(z,y \ (y * x)). [para(6492(a,1),11916(a,2,2))]. 11918 K(x,1 / ((y * x) \ y)) * (z * (1 / ((y * x) \ y))) = (1 / ((y * x) \ y)) * T(z,x). [para(16(a,1),11917(a,2,2,2))]. 11919 K(x,y \ (y * x)) * (z * (1 / ((y * x) \ y))) = (1 / ((y * x) \ y)) * T(z,x). [para(6119(a,1),11918(a,1,1))]. 11920 K(x,x) * (y * (1 / ((z * x) \ z))) = (1 / ((z * x) \ z)) * T(y,x). [para(16(a,1),11919(a,1,1,2))]. 11921 (1 / ((x * y) \ x)) * T(z,y) = 1 * (z * (1 / ((x * y) \ x))). [para(127(a,1),11920(a,1,1)),flip(a)]. 11922 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [hyper(220,a,14,a(flip),b,11921,a)]. 11924 (1 / K(x,y)) * T(z,K(y,x)) = z * (1 / ((u * K(y,x)) \ u)). [para(6169(a,1),11922(a,1,1,2))]. 11925 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(11922(a,1),7745(a,1,1)),flip(a)]. 11926 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(11922(a,1),10404(a,2,1))]. 11927 K(x,y) * T(z,K(x,y)) = z * (1 / ((u * K(x,y)) \ u)). [para(5161(a,1),11924(a,1,1))]. 11928 K(x,y) * z != u * (1 / ((w * K(x,y)) \ w)) | T(u,K(x,y)) = z. [para(11927(a,1),22(a,1)),flip(a)]. 11929 K(x,y) * T(z,K(y,x)) = z * (1 / ((u * K(x,y)) \ u)). [para(7959(a,1),11927(a,1,2))]. 11930 K(x \ y,x) * T(z,K(x,y)) = z * (1 / ((u * K(x \ y,x)) \ u)). [para(8154(a,1),11929(a,1,2))]. 11931 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(220,a,9402,a(flip),b,11925,a(flip)),flip(a)]. 11932 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(220,a,9398,a(flip),b,11931,a)]. 11933 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(220,a,8786,a(flip),b,11932,a(flip))]. 11934 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(220,a,8104,a(flip),b,11933,a)]. 11935 K(x \ y,x) * T(z,K(y,x)) = z * (1 / ((u * K(x \ y,x)) \ u)). [para(7959(a,1),11930(a,1,2))]. 11936 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(11928,a,11935,a)]. 11937 T(x,K(y / z,y)) = T(x,K(y,z)). [hyper(220,a,8159,a(flip),b,11936,a(flip)),flip(a)]. 11938 T(x,K(y,y / z)) = T(x,K(z,y)). [para(6345(a,1),11937(a,1,2)),flip(a)]. 11939 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(220,a,8716,a(flip),b,11938,a(flip))]. 11940 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(220,a,8715,a(flip),b,11939,a(flip)),flip(a)]. 11941 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(7695,a,11940,a)]. 11942 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(63(a,1),11941(a,1,2,1,2)),flip(a)]. 11943 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(220,a,8290,a(flip),b,11942,a(flip))]. 11944 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(220,a,8288,a,b,11943,a(flip)),flip(a)]. 11945 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(220,a,9647,a(flip),b,11944,a(flip))]. 11946 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2621(a,2),11945(a,2,1))]. 11947 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(220,a,66,a(flip),b,11946,a)]. 11950 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(220,a,10969,a(flip),b,11947,a(flip))]. 11951 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(11950(a,2),17(a,1,2))]. 11952 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),9182(a,1,2,1))]. 11953 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5242(a,1),11952(a,1,2,2,1,1))]. 11954 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(742(a,1),11953(a,1,2))]. 11955 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9216(a,1),11954(a,1,2))]. 11956 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(220,a,5043,a(flip),b,11955,a(flip))]. 11958 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3041(a,1),11956(a,2,1))]. 11959 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6047(a,1),11958(a,1,1))]. 11960 R(K(x,y),K(y,z),u) = K(x,y). [hyper(791,a,11959,a)]. 11961 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),11959(a,1,2))]. 11962 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11960(a,1),2355(a,1,1)),flip(a)]. 11963 L(x,K(y,z),K(u,y)) = x. [hyper(388,a,11961,a)]. 11964 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(72,a,9622,a(flip),b,11961,a)]. 11965 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(72,a,11961,a(flip),b,4815,a)]. 11966 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2122(a,2),11961(a,1,1))]. 11967 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(10392(a,1),11961(a,1,1)),flip(a)]. 11970 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(11963(a,1),11244(a,2,1))]. 11971 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [hyper(5249,a,11967,a)]. 11972 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(6442(a,2),11967(a,1,1))]. 11973 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(555,a,11971,a),flip(a)]. 11974 K(x,x * y) * (a(x,y,x) * (L(y,z,u) * x)) = L(y,z,u) * T(x,y). [hyper(220,a,5892,a(flip),b,11971,a)]. 11975 a(x,y,x) * z = z * a(x,y,x). [hyper(20,a,10477,a,b,11971,a)]. 11976 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(11971(a,1),22(a,1)),flip(a)]. 11977 R(x * y,L(z,y,x),a(u,w,u)) \ ((x * (y * z)) * a(u,w,u)) = a(u,w,u) * L(z,y,x). [hyper(220,a,454,a,b,11975,a),flip(a)]. 11979 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(220,a,10480,a(flip),b,11975,a)]. 11980 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(220,a,10457,a(flip),b,11975,a)]. 11981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(208,a,11975,a)]. 11982 T(x,a(y,z,y)) = x. [hyper(162,a,11975,a)]. 11983 T(a(x,y,x),z) = a(x,y,x). [hyper(160,a,11975,a,b,xx)]. 11984 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(72,a,10457,a(flip),b,11975,a)]. 11985 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(71,a,10439,a(flip),b,11975,a)]. 11986 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(71,a,11975,a,b,536,a)]. 11989 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(11975(a,1),103(a,1,1))]. 11990 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(11975(a,1),217(a,2,1))]. 11992 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(11975(a,1),537(a,1,2,1))]. 11993 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(11975(a,1),654(a,1,1))]. 11995 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(10388(a,2),11975(a,2,2)),flip(a)]. 11996 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(11975(a,2),10447(a,1,2))]. 11997 K(x,a(y,z,y)) = 1. [hyper(39,a,11982,a)]. 11999 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(11982(a,1),5661(a,1))]. 12000 T(x,y \ R(y,z,y)) = x. [para(10386(a,1),11982(a,1,2))]. 12001 K(x,L(a(y,z,y),u,w)) = 1. [hyper(11178,a,11997,a)]. 12002 (x * (y \ R(y,z,y))) / x = y \ R(y,z,y). [hyper(4260,a,12000,a)]. 12003 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(220,a,10388,a,b,11983,a)]. 12005 L(a(x,y,x),z,u) * w = w * L(a(x,y,x),z,u). [para(11983(a,1),172(a,1,2,1)),flip(a)]. 12006 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(11983(a,1),173(a,1,2,1)),flip(a)]. 12007 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * (1 * x)) * y. [para(12001(a,1),5432(a,1,1,2,1)),flip(a)]. 12008 L(a(x,y,x) * z,u,w) = L(z * a(x,y,x),u,w). [hyper(220,a,4720,a(flip),b,11981,a(flip))]. 12009 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3375(a,1),12003(a,2,2))]. 12011 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(71,a,19,a(flip),b,11980,a),flip(a)]. 12012 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(72,a,11980,a(flip),b,89,a(flip))]. 12013 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(11984(a,1),214(a,1,1)),flip(b)]. 12014 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(19(a,1),11985(a,1,2)),flip(a)]. 12015 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [hyper(9058,a,11995,a),flip(a)]. 12017 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(71,a,17,a(flip),b,11996,a),flip(a)]. 12018 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(220,a,10273,a(flip),b,12011,a(flip)),flip(a)]. 12019 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [hyper(78,a,12014,a)]. 12020 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(12014(a,1),209(a,1,2)),flip(b)]. 12021 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7062(a,1),12015(a,1,2)),flip(a)]. 12023 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(5968(a,1),12002(a,1,1))]. 12024 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(72,a,12023,a(flip),b,9324,a(flip))]. 12025 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5229(a,1),11972(a,1,2))]. 12028 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5245(a,1),11964(a,1,1))]. 12029 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(220,a,9624,a,b,11966,a)]. 12030 T(x,R(a(y,z,y),u,w)) = x. [hyper(162,a,12006,a)]. 12031 L(x * a(y,z,y),K(u,a(y,z,y) * x),w) = a(y,z,y) * x. [hyper(220,a,4767,a(flip),b,12008,a(flip))]. 12032 L(x,K(y,z),K(z,u)) = x. [hyper(388,a,12029,a)]. 12033 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(160,a,12029,a,b,17,a),flip(a)]. 12036 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12029(a,1),6851(a,1,2))]. 12037 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(12029(a,1),11640(a,1,1,1))]. 12038 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(220,a,4144,a(flip),b,12032,a)]. 12039 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(220,a,5838,a(flip),b,12032,a(flip)),flip(a)]. 12040 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7352(a,1),12032(a,1,2))]. 12041 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12032(a,1),10260(a,1,1,1)),flip(a)]. 12042 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12040(a,1),103(a,1,2))]. 12043 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12038(a,1),9518(a,1,2,3))]. 12045 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(220,a,11249,a(flip),b,12043,a(flip))]. 12046 T(x,(y * z) / y) = T(x,y / (y / z)). [para(439(a,1),12043(a,1,2))]. 12047 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5749,a,12046,a),flip(a)]. 12048 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(220,a,8248,a(flip),b,12046,a(flip))]. 12049 T(x,y / (y / (y * z))) = T(x,z * y). [hyper(220,a,11474,a(flip),b,12048,a)]. 12050 T(x,T(y \ z,z)) = T(x,z / y). [para(63(a,1),12048(a,1,2,2)),flip(a)]. 12051 T(T(x,K(y,z)),y \ z) = T(x,z / y). [hyper(220,a,9682,a,b,12050,a(flip)),flip(a)]. 12053 T(x,y / (y / (y * z))) = x * K(x,z * y). [hyper(220,a,4801,a(flip),b,12049,a)]. 12055 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(5806(a,1),12051(a,1,1)),flip(a)]. 12056 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7959(a,1),12051(a,1,1))]. 12057 T(T(x,K(y,z)),z / y) = T(x,y \ z). [para(7969(a,1),12051(a,1,1)),flip(a)]. 12058 T(T(x,y / z),K(z,y)) = T(x,z \ y). [para(12051(a,1),7980(a,1,1))]. 12059 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5331(a,1),12056(a,1,1,2))]. 12060 T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). [hyper(220,a,8154,a,b,12058,a(flip)),flip(a)]. 12061 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(12058(a,1),7955(a,1,2)),flip(a)]. 12062 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(7564,a,12061,a),flip(a)]. 12063 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(120(a,1),12062(a,1,2)),flip(a)]. 12064 K(x,y / (y / (y * z))) = K(x,z * y). [hyper(4866,a,12053,a)]. 12065 T(K(x,y * z),y) = K(x,z * y). [hyper(8295,a,12064,a)]. 12066 K(x,T(y * z,y)) = K(x,z * y). [hyper(8136,a,12064,a)]. 12069 K(x,K(y,T(x,z) * u)) = K(x,K(y,u * T(x,z))). [para(12065(a,1),7363(a,1,2)),flip(a)]. 12070 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8538,a,12066,a)]. 12072 K(x,T(y * z,z)) = K(x,z * y). [hyper(220,a,8524,a,b,12066,a(flip)),flip(a)]. 12073 K(x,(y \ z) * y) = K(x,T(z,y)). [para(17(a,1),12066(a,1,2,1)),flip(a)]. 12074 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(12066(a,1),8537(a,1))]. 12075 K(x,y * (z / y)) = K(x,T(z,y)). [para(19(a,1),12072(a,1,2,1)),flip(a)]. 12077 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4556(a,1),12073(a,1,2)),flip(a)]. 12078 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(9786(a,2),12075(a,1,2)),flip(a)]. 12079 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(12060(a,1),7971(a,1,2)),flip(a)]. 12080 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(220,a,9109,a(flip),b,12063,a)]. 12081 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(220,a,10749,a(flip),b,12070,a(flip))]. 12082 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(12077(a,1),10045(a,1))]. 12085 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8524(a,1),12082(a,1))]. 12086 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(10591,a,12080,a)]. 12087 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(63(a,1),12086(a,1,2,1,1)),flip(a)]. 12088 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(220,a,10959,a(flip),b,12087,a(flip)),flip(a)]. 12089 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(12088(a,1),5066(a,1,2))]. 12090 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(220,a,9624,a(flip),b,12039,a)]. 12092 K(x,K(y,z * T(x,u))) = K(x,K(y,1 / z)). [hyper(8548,a,12069,a),flip(a)]. 12093 K(x,K(y,1 / (z / T(x,u)))) = K(x,K(y,z)). [para(19(a,1),12092(a,1,2,2)),flip(a)]. 12094 K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). [para(5513(a,1),12093(a,1,2))]. 12095 (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). [para(12094(a,1),7842(a,1,2))]. 12096 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [hyper(220,a,8519,a(flip),b,12078,a(flip))]. 12097 K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). [para(9817(a,1),12096(a,1,2))]. 12098 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [hyper(220,a,11883,a(flip),b,12097,a(flip))]. 12099 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [hyper(220,a,11282,a,b,12098,a(flip)),flip(a)]. 12101 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(12099(a,1),17(a,1,2))]. 12102 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(5971,a,12024,a)]. 12103 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(10388(a,1),12102(a,1,3))]. 12104 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12103(a,1),326(a,1,1)),flip(a)]. 12105 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12104(a,1),10417(a,1,1))]. 12107 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(12105(a,1),2173(a,1,1)),flip(a)]. 12108 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(220,a,10660,a(flip),b,12033,a(flip)),flip(a)]. 12109 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5238(a,1),12033(a,1,2,2)),flip(a)]. 12112 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). [hyper(7862,a,12095,a)]. 12113 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). [hyper(220,a,7959,a,b,12112,a)]. 12114 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(K(x,y) * z,w)). [para(6359(a,1),12113(a,1,1)),flip(a)]. 12115 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(220,a,10816,a(flip),b,12108,a(flip))]. 12116 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(220,a,217,a(flip),b,11990,a(flip)),flip(a)]. 12117 T(x,a(y,z,y) * u) != w | T(x,u * a(y,z,y)) = w. [para(12031(a,1),7203(a,1,2))]. 12118 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2122(a,1),12041(a,1,2,2))]. 12119 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(220,a,5598,a(flip),b,12079,a)]. 12120 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(71,a,12119,a(flip),b,4818,a)]. 12121 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12118(a,1),5717(a,1,1))]. 12122 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(220,a,7730,a(flip),b,12120,a)]. 12123 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11184(a,1),12122(a,2,2))]. 12124 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(11983(a,1),11992(a,2,1))]. 12125 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(10397(a,2),12124(a,1,2,1))]. 12126 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10449(a,1),12124(a,1,2,1))]. 12128 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(220,a,10682,a,b,12125,a(flip)),flip(a)]. 12129 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4824(a,1),12128(a,1,1,2)),flip(a)]. 12131 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5253,a,12036,a),flip(a)]. 12133 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12131(a,1),9963(a,1,2,1)),flip(a)]. 12134 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(12133(a,1),9507(a,1,2,2))]. 12136 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(220,a,10479,a(flip),b,12089,a(flip))]. 12138 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(66(a,1),12136(a,1,2,2)),flip(a)]. 12139 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(17(a,2),12138(a,1,2))]. 12140 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(220,a,11615,a(flip),b,12126,a(flip))]. 12141 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(220,a,11761,a(flip),b,12140,a)]. 12142 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),12141(a,1,2)),flip(a)]. 12143 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12142(a,1),10804(a,1,2)),flip(a)]. 12144 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12142(a,1),10814(a,1,2)),flip(a)]. 12145 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(220,a,9479,a(flip),b,12143,a(flip))]. 12146 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(21,a,10476,a(flip),b,12021,a(flip))]. 12148 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(148(a,2),12028(a,1,2,2,2))]. 12149 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(12039(a,1),12037(a,2,1))]. 12150 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6352(a,1),12047(a,1,1))]. 12151 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(15(a,1),12149(a,2,1,2))]. 12152 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(9624(a,1),12151(a,1,1,1))]. 12153 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(220,a,7959,a,b,11970,a)]. 12156 K(x,x * y) * (L(y,z,u) * R(x,y,x)) = L(y,z,u) * T(x,y). [para(11980(a,1),11974(a,1,2))]. 12157 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(220,a,10367,a(flip),b,12153,a(flip))]. 12159 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(220,a,7962,a,b,12157,a(flip)),flip(a)]. 12160 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12157(a,2,2))]. 12161 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12157(a,1),8843(a,1,1))]. 12162 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2122(a,2),12159(a,2,2))]. 12163 T(x,K(y,z) * K(z,u)) != w | T(T(x,K(z,u)),K(z,y)) = w. [para(12159(a,1),7973(a,1))]. 12164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5356,a,12160,a)]. 12165 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(220,a,4801,a(flip),b,12160,a),flip(a)]. 12166 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(220,a,8732,a,b,12160,a(flip)),flip(a)]. 12167 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(8625(a,1),12162(a,1,1,2)),flip(a)]. 12168 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(220,a,12160,a(flip),b,12164,a(flip))]. 12169 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(220,a,4824,a(flip),b,12168,a)]. 12170 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12168(a,1),4866(a,1))]. 12171 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12168(a,1),7329(a,1,2))]. 12172 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12165(a,1),4804(a,1))]. 12174 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(41(a,1),12172(a,1))]. 12175 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12164(a,1),12172(a,1))]. 12176 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4909,a,12161,a),flip(a)]. 12178 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6864(a,1),12176(a,1,2,2)),flip(a)]. 12179 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(220,a,12159,a(flip),b,12166,a(flip))]. 12180 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12175,a,12179,a)]. 12181 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(220,a,4801,a(flip),b,12180,a),flip(a)]. 12182 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(8731(a,1),12167(a,2,1))]. 12183 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(20,a,4801,a(flip),b,12181,a),flip(a)]. 12184 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(220,a,12164,a(flip),b,12182,a)]. 12185 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8625(a,1),12184(a,1,2,2))]. 12186 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(220,a,12168,a,b,12185,a),flip(a)]. 12187 (x * y) * R(L(a(z,u,z),w,v5),x,y) = (L(a(z,u,z),w,v5) * x) * y. [para(14(a,1),12007(a,2,1,2))]. 12188 (x * y) * L(R(a(z,u,z),x,y),w,v5) = (L(a(z,u,z),w,v5) * x) * y. [para(47(a,1),12187(a,1,2))]. 12189 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10268,a,11965,a)]. 12190 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(220,a,4504,a(flip),b,12059,a(flip)),flip(a)]. 12191 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(220,a,12056,a(flip),b,12190,a(flip))]. 12192 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6361(a,1),12121(a,1,1,1)),flip(a)]. 12193 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12162(a,1),12192(a,2,1))]. 12194 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(220,a,4785,a,b,12193,a)]. 12195 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5242(a,1),12194(a,1,2))]. 12196 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4824(a,1),12129(a,2,2))]. 12197 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10481(a,1),12145(a,1,2,1)),flip(a)]. 12198 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(220,a,12144,a,b,12197,a)]. 12200 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12198(a,1),11614(a,2,1,1))]. 12201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(220,a,11048,a(flip),b,12189,a(flip)),flip(a)]. 12202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7963(a,1),12201(a,1,1)),flip(a)]. 12203 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(220,a,12160,a(flip),b,12202,a)]. 12204 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(12170,a,12203,a(flip)),flip(a)]. 12205 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2122(a,2),12203(a,1,2,1))]. 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(220,a,12176,a,b,12204,a(flip)),flip(a)]. 12207 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2122(a,2),12204(a,1,1))]. 12208 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2122(a,1),12207(a,2,2))]. 12209 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4801,a(flip),b,12205,a)]. 12210 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12205(a,1),12169(a,1,1))]. 12212 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(220,a,12208,a(flip),b,12209,a(flip))]. 12213 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12209(a,1),4801(a,2,2)),flip(a)]. 12214 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(220,a,12209,a,b,12206,a)]. 12215 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(220,a,11886,a,b,12206,a(flip))]. 12216 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(220,a,9636,a,b,12206,a(flip)),flip(a)]. 12217 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12206(a,2),4968(a,2,2)),flip(a)]. 12218 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8171(a,1),12206(a,1,1))]. 12219 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(220,a,11870,a(flip),b,12215,a)]. 12220 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(220,a,12183,a(flip),b,12219,a(flip)),flip(a)]. 12221 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(16(a,1),12220(a,1,2,2,2,3))]. 12222 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4817,a,12213,a)]. 12223 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11048(a,1),12222(a,1,1))]. 12224 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7873(a,1),12216(a,1,2,2,2))]. 12225 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8171(a,1),12218(a,1,2)),flip(a)]. 12226 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(220,a,12206,a(flip),b,12225,a)]. 12228 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12225(a,1),10313(a,1))]. 12229 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7232(a,1),12226(a,1,1)),flip(a)]. 12230 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(220,a,12212,a(flip),b,12229,a(flip)),flip(a)]. 12232 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12230(a,1),11071(a,2,2))]. 12233 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12176(a,1),12228(a,1))]. 12234 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12214(a,1),12228(a,1))]. 12235 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12195(a,2),12234(a,1))]. 12236 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5391,a,12224,a)]. 12237 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7873(a,1),12236(a,1,1))]. 12239 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(11986(a,1),11993(a,1))]. 12240 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11211(a,1),12123(a,1,2))]. 12241 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(9054,a,12240,a),flip(a)]. 12242 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11175(a,1),12241(a,2,1))]. 12243 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(220,a,11159,a(flip),b,12242,a)]. 12244 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(209,a,12243,a),flip(a)]. 12246 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(16(a,1),12244(a,1,3,1)),flip(a)]. 12247 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5146(a,1),12244(a,1,3)),flip(a)]. 12248 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5148(a,1),12244(a,1,3)),flip(a)]. 12249 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(5029(a,1),12244(a,1,3))]. 12250 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(12246(a,2),11201(a,1,1))]. 12251 a(x,y,K(x * z,z)) = 1. [hyper(220,a,7016,a(flip),b,12247,a)]. 12252 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(12247(a,1),11215(a,2,2,2))]. 12253 L(K(x * y,y),z,x) = K(x * y,y). [hyper(36,a,12251,a)]. 12254 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(12253(a,1),7372(a,2,1))]. 12255 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11202,a,12250,a)]. 12256 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(220,a,12249,a,b,12255,a(flip)),flip(a)]. 12257 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(17(a,1),12255(a,1,3,2)),flip(a)]. 12258 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(11118(a,1),12255(a,1,3)),flip(a)]. 12259 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(220,a,12248,a,b,12257,a(flip)),flip(a)]. 12260 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(220,a,12256,a(flip),b,12258,a(flip))]. 12261 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8588(a,1),12254(a,1,2,2))]. 12262 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(220,a,7399,a(flip),b,12261,a(flip))]. 12263 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(220,a,12025,a(flip),b,12262,a(flip))]. 12264 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(11972(a,1),12263(a,1,2)),flip(a)]. 12265 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(555,a,12264,a),flip(a)]. 12267 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(220,a,12150,a(flip),b,12045,a(flip))]. 12268 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7279(a,1),12267(a,2,2))]. 12269 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(220,a,4202,a(flip),b,12268,a)]. 12270 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(10277(a,1),12269(a,1,1,1))]. 12271 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10278(a,1),12270(a,1,1)),flip(a)]. 12272 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12271(a,1),5137(a,1))]. 12273 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(220,a,5079,a(flip),b,12252,a)]. 12274 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(220,a,11271,a(flip),b,12273,a)]. 12275 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11147(a,1),12274(a,1,1))]. 12276 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2857(a,1),12275(a,1,2)),flip(a)]. 12277 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(220,a,5242,a(flip),b,12276,a)]. 12278 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11175(a,1),12277(a,2,1))]. 12279 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(220,a,4812,a,b,12278,a)]. 12280 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(220,a,11392,a,b,12279,a(flip)),flip(a)]. 12281 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8557(a,1),12178(a,2,2))]. 12282 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(220,a,12176,a(flip),b,12281,a)]. 12283 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6864(a,1),12282(a,1,1,2))]. 12284 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(220,a,11961,a(flip),b,12232,a)]. 12286 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5120(a,1),12134(a,1,2)),flip(a)]. 12287 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(220,a,5087,a(flip),b,12286,a)]. 12289 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(220,a,5238,a(flip),b,12287,a)]. 12291 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(9506(a,1),12289(a,1,2))]. 12292 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11960(a,1),11962(a,2,2,1,1))]. 12293 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5142(a,1),12292(a,2,2,1))]. 12295 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5142(a,1),12293(a,1,1,2,1))]. 12296 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(220,a,5271,a(flip),b,12295,a(flip)),flip(a)]. 12297 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12295(a,1),416(a,1,1,1)),flip(a)]. 12298 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12295(a,2),9317(a,1,1))]. 12299 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12295(a,1),11892(a,1,1))]. 12301 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7837(a,1),12298(a,1,1,1,2,1))]. 12302 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(w,K(x,y) * z)). [para(7959(a,1),12114(a,2,2))]. 12303 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(220,a,6132,a(flip),b,12299,a(flip)),flip(a)]. 12305 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(220,a,12283,a(flip),b,12303,a(flip)),flip(a)]. 12306 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(12235,a,12305,a),flip(a)]. 12307 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(220,a,12183,a(flip),b,12306,a)]. 12308 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(220,a,12221,a(flip),b,12307,a)]. 12310 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(220,a,6132,a(flip),b,12308,a(flip)),flip(a)]. 12311 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12310(a,1),4974(a,1,1))]. 12312 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12296(a,1),12311(a,1,2))]. 12313 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(74,a,12312,a)]. 12314 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7892(a,1),12312(a,1,2,1))]. 12315 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5249,a,12313,a)]. 12316 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2131,a,12313,a)]. 12317 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6838(a,1),12313(a,1,2))]. 12318 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8686(a,1),12313(a,1,2))]. 12319 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12313(a,1),9317(a,1,1)),flip(a)]. 12321 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12313(a,1),11826(a,1,1,2))]. 12322 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12313(a,1),12186(a,2,2))]. 12323 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12315(a,1),9469(a,1,1)),flip(a)]. 12324 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12316(a,1),10497(a,2,2))]. 12325 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5249,a,12319,a)]. 12326 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12313(a,1),12321(a,1,2))]. 12328 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(71,a,119,a(flip),b,12326,a)]. 12329 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(8637,a,12325,a)]. 12330 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8556(a,1),12314(a,1,2,2))]. 12331 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12237(a,1),12330(a,1,2))]. 12332 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9211(a,1),12329(a,1,2))]. 12333 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5022,a,12332,a)]. 12334 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(220,a,10658,a,b,12333,a)]. 12335 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(220,a,12324,a(flip),b,12323,a)]. 12336 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8555(a,1),12301(a,1,1,1,2))]. 12337 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12237(a,1),12336(a,1,1,1))]. 12338 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5027(a,1),5736(a,1,1))]. 12339 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5027(a,1),12338(a,1,2,1,1)),flip(a)]. 12340 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5142(a,1),12339(a,2,2,1))]. 12341 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6838(a,1),12340(a,2,2))]. 12342 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4794(a,1),12341(a,1,1,1)),flip(a)]. 12343 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6838(a,1),12342(a,2,1,2))]. 12344 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(220,a,12317,a(flip),b,12343,a(flip))]. 12345 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4987(a,1),10980(a,1,2)),flip(a)]. 12350 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6482(a,1),12148(a,1,2,1))]. 12351 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3775(a,1),12350(a,1,2,2)),flip(a)]. 12352 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8262(a,1),12351(a,2,2))]. 12353 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(16(a,1),12352(a,2,2,1))]. 12354 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4353(a,1),12353(a,1,1,2))]. 12355 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7683(a,1),12354(a,1,1))]. 12356 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4353(a,1),12355(a,1,2,1))]. 12358 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5325(a,1),12356(a,1,2))]. 12359 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7601(a,1),12358(a,1,2))]. 12360 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(10520(a,1),12359(a,1,2)),flip(a)]. 12361 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(220,a,9031,a,b,12360,a)]. 12363 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9003(a,1),6061(a,1,1)),flip(a)]. 12364 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(220,a,9025,a,b,12363,a)]. 12366 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4875(a,1),12364(a,2,1))]. 12367 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(220,a,9297,a(flip),b,12366,a)]. 12368 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4598(a,2),12367(a,1,2))]. 12369 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(7827(a,1),12368(a,1,2,1))]. 12370 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4595(a,2),12369(a,1,2,1))]. 12372 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8354(a,1),11084(a,1,1,1))]. 12373 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5620(a,1),11085(a,1,1,1))]. 12374 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12090(a,1),12217(a,2,1,1))]. 12375 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11082(a,1),12373(a,1,1))]. 12376 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11082(a,1),12375(a,1,2,1))]. 12377 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5620(a,1),12376(a,1,2,2,2))]. 12378 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(220,a,12152,a(flip),b,12374,a)]. 12379 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12378(a,1,2,1,1))]. 12380 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12379(a,1,2,1))]. 12381 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7893(a,1),12380(a,1,2,1))]. 12383 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12090(a,1),12381(a,1,2,2,1))]. 12384 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8196(a,1),12383(a,1,2,2))]. 12386 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12236(a,1),12384(a,1,2))]. 12387 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(220,a,12090,a(flip),b,12386,a(flip)),flip(a)]. 12388 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(220,a,12284,a,b,12387,a(flip)),flip(a)]. 12389 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12223,a(flip),b,12388,a(flip)),flip(a)]. 12390 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(6780(a,1),6090(a,1,3)),flip(a)]. 12391 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(17(a,1),12390(a,2,3,1,1))]. 12392 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(220,a,4417,a(flip),b,12391,a)]. 12394 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(4979(a,1),12392(a,1,1))]. 12395 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(100(a,1),12394(a,1,2,2))]. 12396 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(6780(a,1),12395(a,1,2)),flip(a)]. 12397 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(17(a,1),12396(a,2,2,1,1))]. 12398 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(220,a,5242,a(flip),b,12397,a)]. 12400 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(220,a,6004,a(flip),b,12398,a)]. 12401 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12400(a,1),326(a,1,1))]. 12402 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(220,a,7707,a(flip),b,12401,a(flip))]. 12403 K(x,x \ y) * K(y \ 1,y) = (((x \ y) * x) \ 1) * y. [hyper(220,a,6833,a,b,12402,a),flip(a)]. 12404 (((x \ y) * x) \ 1) * ((y \ 1) \ 1) = K(x,x \ y). [hyper(5742,a,12403,a)]. 12405 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,(((x * y) \ x) \ 1) \ z). [para(6823(a,2),12404(a,1,1,1))]. 12406 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,z * ((x * y) \ x)). [hyper(220,a,6021,a(flip),b,12405,a)]. 12407 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(y,z * ((x * y) \ x)). [hyper(220,a,6260,a(flip),b,12406,a)]. 12424 (x * L(K(y,z),u,w)) * K((w * T(u,K(z,y))) \ (w * (K(z,y) * u)),w * T(u,K(z,y))) = x / ((w * (K(z,y) * u)) / (w * T(u,K(z,y)))). [para(6534(a,1),10581(a,1,1))]. 12425 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(12105(a,1),12107(a,2,2,1,1))]. 12426 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(220,a,1350,a(flip),b,12425,a)]. 12427 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(1702(a,1),12426(a,2,2))]. 12428 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(860(a,1),12427(a,2,2,1))]. 12429 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(985(a,1),12428(a,2,2,1,2))]. 12430 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(1350(a,1),12429(a,1,1))]. 12431 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [hyper(21,a,4850,a(flip),b,12424,a)]. 12432 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(12431(a,1),7572(a,1,1,2))]. 12433 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(220,a,8737,a(flip),b,8780,a)]. 12434 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(220,a,7875,a(flip),b,12433,a)]. 12435 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3250(a,1),8766(a,1,1,1,2))]. 12436 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(220,a,16,a(flip),b,12297,a)]. 12438 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12295(a,1),12436(a,1,3))]. 12440 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12313(a,1),12438(a,1,3))]. 12441 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12440(a,1),103(a,1,2))]. 12443 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(220,a,12335,a(flip),b,12441,a(flip))]. 12444 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5238(a,1),12443(a,1,2))]. 12445 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8049(a,1),12444(a,1,1,1)),flip(a)]. 12446 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(161,a,12445,a),flip(a)]. 12447 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11147(a,1),12432(a,1,2,2))]. 12448 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4435(a,1),12435(a,1,1,1))]. 12449 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(117(a,1),12448(a,1,1,1)),flip(a)]. 12451 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3250(a,1),12449(a,2,1,3,2))]. 12452 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(16(a,1),12451(a,2,1,3))]. 12454 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4417(a,1),12452(a,2,1))]. 12455 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(63(a,1),12454(a,1,1,1,1,2))]. 12456 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3250(a,1),12455(a,1,1,2))]. 12457 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(220,a,9434,a(flip),b,12456,a(flip)),flip(a)]. 12459 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(35(a,2),12457(a,1,1,1,1)),flip(a)]. 12460 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(9844(a,1),12459(a,2,1,1))]. 12461 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(220,a,9998,a(flip),b,12460,a)]. 12462 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(35(a,2),12461(a,1,1,3))]. 12463 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7412(a,1),12462(a,2,1))]. 12464 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(220,a,6702,a(flip),b,12463,a(flip)),flip(a)]. 12465 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12464(a,1),6456(a,2,2))]. 12466 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(220,a,103,a(flip),b,12465,a)]. 12467 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(220,a,7399,a(flip),b,12466,a)]. 12468 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6410,a,12467,a)]. 12469 K(x * y,z) * x = x * K(y * x,z). [hyper(20,a,11787,a(flip),b,12468,a(flip))]. 12472 K(x * y,T(z,y)) = K(y * x,z). [hyper(8036,a,12469,a),flip(a)]. 12473 K(x * y,T(z,x)) = K(y * x,z). [hyper(7402,a,12469,a)]. 12474 K(x * (y \ 1),T(z,y)) = K((y \ 1) * x,z). [hyper(21,a,8523,a,b,12469,a),flip(a)]. 12475 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(21,a,8522,a(flip),b,12469,a)]. 12476 K(x * (x \ ((x \ 1) \ y)),z) * x = x * K((x \ 1) \ T(y,x),z). [para(1559(a,1),12469(a,2,2,1))]. 12478 K(x * (y / x),z) = K(y,T(z,x)). [para(19(a,1),12472(a,1,1)),flip(a)]. 12481 K((x \ y) * x,z) = K(y,T(z,x)). [para(17(a,1),12473(a,1,1)),flip(a)]. 12482 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5312(a,2),12473(a,1,1)),flip(a)]. 12483 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(12473(a,1),10045(a,1))]. 12484 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12473(a,1),10474(a,1,1))]. 12485 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3923(a,2),12478(a,1,1))]. 12486 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5537(a,1),12478(a,1,1,2)),flip(a)]. 12487 K((x \ y) * x,T(y,z)) = 1. [hyper(220,a,352,a(flip),b,12481,a)]. 12488 K(T(x \ y,x) * x,y) = 1. [hyper(220,a,12487,a(flip),b,12485,a)]. 12489 x * K(T(y \ z,y) * y,z) = x. [para(12488(a,2),15(a,1,2))]. 12492 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(8527(a,1),12483(a,1))]. 12493 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(344(a,1),12474(a,1,1))]. 12494 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1566(a,1),12475(a,1,1)),flip(a)]. 12496 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(9373(a,1),12484(a,1,1,1))]. 12498 x * K((x \ 1) \ T(y,x),z) = K((x \ 1) \ y,z) * x. [para(17(a,1),12476(a,1,1,1)),flip(a)]. 12499 K((x \ 1) \ T(y,x),z) = K(y / (x \ 1),z). [hyper(20,a,8549,a(flip),b,12498,a)]. 12501 K((x \ K(x,y)) \ y,z) = K(y / (x \ 1),z). [hyper(220,a,6503,a,b,12499,a(flip)),flip(a)]. 12502 ((x * y) / x) \ T(x * y,z) = x * K(x / (y \ 1),z). [para(12501(a,1),6512(a,2,2))]. 12503 ((x * y) / x) \ T(x * y,z) != x * u | K(x / (y \ 1),z) = u. [para(12502(a,2),22(a,1))]. 12504 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(755(a,1),12493(a,1,1))]. 12505 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(220,a,7439,a(flip),b,12504,a(flip))]. 12506 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(54(a,1),12494(a,2,1,2,2,1,2))]. 12507 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(14(a,1),12506(a,2,1,2))]. 12508 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12507(a,2),8303(a,1))]. 12509 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5492(a,1),12496(a,1,1))]. 12510 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(17(a,1),12509(a,1,2,2,1,2))]. 12512 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8421(a,1),12510(a,1,2))]. 12513 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12090(a,1),12171(a,1,2,1,1))]. 12514 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11048(a,1),12513(a,1,2,1))]. 12515 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7963(a,1),12514(a,1,2,1,1))]. 12516 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12164(a,1),12515(a,1,2,1))]. 12517 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12210(a,1),12516(a,1,2)),flip(a)]. 12518 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12222,a(flip),b,12517,a)]. 12519 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12090(a,1),12518(a,1,2))]. 12520 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(220,a,12389,a(flip),b,12519,a(flip)),flip(a)]. 12521 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(220,a,12109,a(flip),b,12520,a(flip)),flip(a)]. 12522 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(220,a,10282,a(flip),b,12521,a(flip)),flip(a)]. 12523 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12522(a,1),12042(a,1,1)),flip(a)]. 12524 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(220,a,9861,a(flip),b,12523,a(flip))]. 12525 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12115(a,1),12524(a,1,1)),flip(a)]. 12527 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12525(a,1),12200(a,2,1))]. 12528 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12142(a,1),12527(a,2,1,1))]. 12530 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7071(a,1),12528(a,1,1,1))]. 12532 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10668(a,1),12530(a,1,1))]. 12533 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10442(a,1),12532(a,1,1)),flip(a)]. 12534 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12533,a(flip),b,598,a)]. 12536 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(220,a,11520,a(flip),b,12534,a(flip))]. 12537 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(11983(a,1),12536(a,2,2))]. 12538 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(220,a,11997,a(flip),b,12537,a)]. 12541 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,12538,a)]. 12542 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12541(a,1),11459(a,1,2))]. 12543 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12030(a,1),12542(a,1,1,2,1))]. 12544 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(430,a,12543,a),flip(a)]. 12545 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,11975,a(flip),b,12544,a)]. 12546 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(220,a,422,a,b,12545,a(flip)),flip(a)]. 12547 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(220,a,12196,a(flip),b,12545,a(flip))]. 12548 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(220,a,12141,a(flip),b,12545,a(flip)),flip(a)]. 12549 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12545(a,1),114(a,1,1)),flip(a)]. 12555 L(x,y,a(z,u,z)) = x. [para(12545(a,1),12541(a,1,3))]. 12557 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(220,a,11982,a,b,12555,a),flip(a)]. 12558 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(220,a,217,a(flip),b,12555,a(flip)),flip(a)]. 12559 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12555(a,1),448(a,1,2))]. 12560 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12555(a,1),391(a,1,2,1)),flip(a)]. 12561 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12555(a,1),11989(a,1,2))]. 12564 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(220,a,11100,a,b,12548,a)]. 12565 K(R(x,y,z) * u,x) = K(u,x) * a(x,u,x). [para(12548(a,1),10811(a,1,2)),flip(a)]. 12566 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12548(a,1),11764(a,1,2)),flip(a)]. 12567 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11308,a,12564,a),flip(a)]. 12569 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5486(a,1),12547(a,1,2)),flip(a)]. 12570 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(12549(a,1),27(a,2,1,2)),flip(a)]. 12571 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12549(a,1),27(a,2,1)),flip(a)]. 12572 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(12549(a,1),31(a,2,1)),flip(a)]. 12574 (a(x,y,x) * z) / u = (z / u) * a(x,y,x). [hyper(220,a,11975,a(flip),b,12559,a)]. 12575 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4806,a,12561,a)]. 12576 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(220,a,12264,a(flip),b,12561,a)]. 12577 K(R(x,y,z) * u,x) = K(x * u,x). [hyper(220,a,10406,a(flip),b,12565,a)]. 12579 K(x * R(y,z,u),y) = K(y * x,y). [hyper(12492,a,12577,a)]. 12582 K(x * R(y \ 1,z,u),y \ 1) = K(y \ x,y \ 1). [hyper(220,a,6441,a(flip),b,12579,a)]. 12585 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(35(a,1),12567(a,1,2))]. 12587 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(220,a,10463,a(flip),b,12566,a)]. 12589 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10790,a,12587,a),flip(a)]. 12590 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,10861,a,b,12585,a(flip)),flip(a)]. 12591 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12582(a,1),9443(a,1,1,1))]. 12592 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(220,a,11540,a(flip),b,12589,a(flip)),flip(a)]. 12593 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(11809,a,12592,a)]. 12595 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(220,a,11907,a(flip),b,12593,a(flip)),flip(a)]. 12596 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(220,a,9691,a(flip),b,12593,a(flip)),flip(a)]. 12598 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(220,a,11263,a(flip),b,12595,a(flip))]. 12600 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(220,a,10939,a(flip),b,12596,a)]. 12601 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(220,a,9304,a,b,12600,a(flip)),flip(a)]. 12603 K(x,x * (y \ (x \ (R(x,z,u) \ w)))) = K(x,y \ (x \ w)). [para(1328(a,1),12601(a,1,2,2)),flip(a)]. 12604 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(220,a,6467,a(flip),b,12591,a(flip))]. 12606 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(19(a,1),12604(a,1,3,2)),flip(a)]. 12607 K(x,y \ (R(x,z,u) \ w)) = K(x,y \ (x \ w)). [hyper(220,a,10941,a(flip),b,12603,a(flip)),flip(a)]. 12608 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [para(139(a,1),12607(a,1,2,2)),flip(a)]. 12609 K(x,y \ (x \ ((z * x) * u))) = K(x,y \ (z * u)). [hyper(220,a,11466,a,b,12608,a(flip)),flip(a)]. 12610 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(11678,a,12609,a)]. 12611 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(220,a,6571,a(flip),b,12610,a)]. 12612 L(K(x,y),z,u * x) = K(L(x,z,u),y). [hyper(220,a,11171,a(flip),b,12611,a)]. 12613 L(K(x,y),z,x * u) = K(L(x,z,u),y). [hyper(220,a,11689,a(flip),b,12612,a(flip)),flip(a)]. 12614 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12606(a,1),12009(a,2,2))]. 12615 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(11979(a,1),12546(a,1,1,1))]. 12616 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(12575(a,2),22(a,1))]. 12617 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(220,a,11056,a(flip),b,12569,a(flip)),flip(a)]. 12618 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(220,a,11043,a(flip),b,12590,a(flip))]. 12619 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(220,a,12345,a,b,12618,a),flip(a)]. 12621 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(220,a,11601,a(flip),b,12598,a(flip)),flip(a)]. 12622 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6869(a,1),12621(a,1,1))]. 12626 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12622(a,1),8927(a,1,1,1,2))]. 12629 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12272,a,12626,a)]. 12630 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(55(a,1),12629(a,1,2))]. 12631 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(84,a,12630,a),flip(a)]. 12633 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12630(a,1),83(a,1)),flip(b)]. 12634 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(220,a,12622,a(flip),b,12631,a(flip)),flip(a)]. 12635 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(184(a,2),12631(a,2,2)),flip(a)]. 12639 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12631(a,1),12313(a,1,2))]. 12640 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12631(a,1),12334(a,2,1,2))]. 12641 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(220,a,6930,a(flip),b,12634,a(flip))]. 12643 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12622(a,1),12633(a,1))]. 12644 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(220,a,12318,a(flip),b,12639,a(flip)),flip(a)]. 12645 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12639(a,1),12204(a,1,1)),flip(a)]. 12646 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12639(a,1),12233(a,1,1))]. 12648 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(12074,a,12635,a)]. 12649 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(220,a,8088,a(flip),b,12648,a(flip))]. 12650 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(12633,a,12649,a)]. 12651 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(220,a,10859,a,b,12650,a(flip)),flip(a)]. 12652 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(436(a,1),12650(a,1,2)),flip(a)]. 12653 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(12650(a,1),11839(a,1,2))]. 12654 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(2772(a,1),12653(a,1,2,2)),flip(a)]. 12655 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8484,a,12654,a)]. 12656 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(19(a,1),12654(a,2,2,2))]. 12658 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(12654(a,1),7914(a,2,2))]. 12659 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12654(a,1),7915(a,1,2,2))]. 12660 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(220,a,10286,a(flip),b,12655,a(flip))]. 12661 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12656(a,1),7916(a,2,2))]. 12663 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(220,a,12447,a(flip),b,12661,a(flip))]. 12664 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(7875(a,1),12661(a,2,2))]. 12666 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(63(a,1),12664(a,1,1)),flip(a)]. 12667 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(11148,a,12652,a)]. 12668 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(12658(a,2),600(a,1,2,2)),flip(a)]. 12669 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(220,a,8632,a(flip),b,12659,a(flip)),flip(a)]. 12670 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12669(a,1),11154(a,1,2))]. 12671 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12645(a,1),12337(a,1,1,1))]. 12672 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(220,a,12631,a,b,12651,a(flip)),flip(a)]. 12673 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(12672(a,1),6919(a,1,2,1))]. 12674 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12643,a,12641,a)]. 12675 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12670(a,1),120(a,1,1)),flip(a)]. 12676 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12670(a,1),4996(a,1,2,2)),flip(a)]. 12677 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5253,a,12673,a),flip(a)]. 12679 x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). [hyper(220,a,11175,a(flip),b,12677,a)]. 12692 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8506,a,12660,a),flip(a)]. 12693 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8484,a,12692,a)]. 12694 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(7339(a,2),12693(a,2,2))]. 12695 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4801(a,2),12640(a,2,1))]. 12696 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(114(a,1),12615(a,1,1))]. 12697 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12576(a,1),12696(a,1,1,1))]. 12698 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(17(a,1),12697(a,1,2,1))]. 12699 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12265(a,1),12698(a,1,1,1)),flip(a)]. 12700 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(220,a,33,a,b,12699,a)]. 12701 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(16(a,1),12700(a,1,2,2)),flip(a)]. 12702 a(x,R(y,z,u),x) = a(x,y,x). [hyper(220,a,12545,a(flip),b,12701,a(flip))]. 12704 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12702(a,1),12015(a,1,1)),flip(a)]. 12705 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(220,a,12015,a(flip),b,12704,a)]. 12706 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12705(a,1),12370(a,1,2))]. 12707 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(665(a,1),12706(a,1,2)),flip(a)]. 12709 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12707(a,1),4826(a,2,2)),flip(a)]. 12710 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(220,a,12361,a(flip),b,12709,a(flip)),flip(a)]. 12711 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12318(a,1),12710(a,1,1))]. 12712 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(220,a,12446,a,b,12711,a(flip))]. 12713 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(546(a,1),12712(a,2,1,2))]. 12714 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(9529,a,12713,a)]. 12715 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(19(a,1),12713(a,1,1))]. 12716 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(220,a,7168,a(flip),b,12715,a(flip)),flip(a)]. 12717 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(220,a,12081,a(flip),b,12716,a(flip)),flip(a)]. 12718 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5147(a,1),12717(a,2,1))]. 12719 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12713(a,1),12714(a,1,1))]. 12721 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(35(a,2),12619(a,1,2))]. 12722 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10434,a,12721,a)]. 12723 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12722(a,1),11768(a,1,2))]. 12724 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12564(a,1),12723(a,1,2))]. 12726 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(10990,a,12724,a(flip)),flip(a)]. 12727 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(10448(a,1),12726(a,2,2))]. 12730 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(378(a,1),12727(a,1,2,3))]. 12731 L(a(x,y,x),z,u) = a(x,y,x). [hyper(11354,a,12730,a)]. 12732 R(x,y,a(z,u,z)) = x. [hyper(4688,a,12730,a)]. 12734 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12239,a,12732,a)]. 12735 R(x,y,a(z,u,z)) = L(x,w,a(v5,v6,v5)). [hyper(220,a,12555,a,b,12732,a)]. 12737 (x * y) \ ((x * (y * z)) * a(u,w,u)) = a(u,w,u) * L(z,y,x). [para(12732(a,1),11977(a,1,1))]. 12738 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(220,a,12545,a,b,12731,a),flip(a)]. 12740 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(220,a,15,a,b,12731,a)]. 12743 a(x,y * K(z,y),x) = a(x,y,x). [hyper(220,a,12547,a,b,12731,a(flip)),flip(a)]. 12745 a(x,T(y,z),x) = a(x,y,x). [para(4928(a,1),12743(a,1,2)),flip(a)]. 12746 a(x,y / z,x) = a(x,z \ y,x). [para(4816(a,1),12743(a,1,2))]. 12747 a(x,T(y,z),x) = a(x,T(y,u),x). [hyper(220,a,12745,a,b,12745,a)]. 12750 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12745(a,1),11926(a,1,1))]. 12752 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(220,a,11030,a(flip),b,12746,a)]. 12753 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(220,a,12745,a,b,12746,a(flip)),flip(a)]. 12754 K(x / y,z) * a(z,y \ x,z) != u | K(z * (x / y),z) = u. [para(12746(a,1),10409(a,1,2))]. 12755 a(x,T(y,z),x) != u | a(x,y,x) = u. [para(12747(a,1),10434(a,1))]. 12761 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12740(a,2),83(a,1)),flip(b)]. 12762 L(x,y,a(z,u,z)) != w | w = x. [para(12735(a,1),289(a,1))]. 12763 T(x,a(y,z,y)) != u | u = x. [para(12557(a,2),12762(a,1))]. 12767 (x * y) * L(L(a(z,u,z),w,v5),v6,v7) = (L(a(z,u,z),v6,v7) * x) * y. [para(12738(a,1),12188(a,1,2,1))]. 12770 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(9879(a,1),12752(a,1,2,2)),flip(a)]. 12771 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(550(a,1),12753(a,1,2))]. 12776 T(x,y * a(z,u,z)) = T(x,y). [hyper(12762,a,12734,a)]. 12778 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12734(a,1),12762(a,1)),flip(b)]. 12780 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(71,a,12776,a(flip),b,4801,a(flip)),flip(a)]. 12781 T(x,(y * z) * y) = T(x,y * (z * y)). [para(94(a,1),12776(a,1,2))]. 12782 T(x,T(y,z) / z) = T(x,z \ y). [para(10416(a,1),12776(a,1,2))]. 12783 T(x,y / T(z,y)) = T(x,z \ y). [para(4082(a,1),12782(a,1,2))]. 12784 T(x,(y / z) / T(u,z \ y)) = T(x,T(u,K(y,z)) \ (y / z)). [para(12055(a,1),12783(a,1,2,2))]. 12785 K(x,y * a(z,u,z)) = K(x,y). [hyper(220,a,4777,a,b,12780,a)]. 12786 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(12780(a,2),4869(a,1))]. 12788 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(10453(a,1),12785(a,1,2))]. 12789 K(x,y * R(z,u,z)) = K(x,y * z). [para(10457(a,1),12785(a,1,2))]. 12790 K(x,a(y,z,y) \ u) = K(x,u). [para(11981(a,1),12785(a,1,2)),flip(a)]. 12791 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(10386(a,1),12790(a,1,2,1))]. 12793 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(4630(a,1),12788(a,1,2,1))]. 12794 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(6480(a,1),12788(a,1,2,1)),flip(a)]. 12795 K(x,y / T(z,y)) = K(x,z \ y). [para(7594(a,1),12788(a,1,2))]. 12796 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11771(a,1),12788(a,1,2,1)),flip(a)]. 12797 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7075(a,1),12789(a,1,2,2))]. 12798 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(12791(a,1),6570(a,1,1))]. 12799 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4642(a,1),12794(a,1,2,1))]. 12800 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(12794(a,1),6593(a,1,1))]. 12802 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(10413(a,1),12778(a,1,2))]. 12804 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(6602(a,1),12781(a,1,2)),flip(a)]. 12805 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(8158(a,2),12802(a,1))]. 12807 K(T(x / y,x) \ z,u) = (w * K(u,(y \ x) \ z)) \ w. [para(12793(a,1),6169(a,1,1,2)),flip(a)]. 12808 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(220,a,6169,a,b,12796,a)]. 12810 K(x,y * T(z \ u,u)) = K(x,y * T(z \ u,z)). [para(4081(a,2),12797(a,1,2,2)),flip(a)]. 12811 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(220,a,12796,a,b,12799,a)]. 12812 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7893(a,1),12805(a,1,1,2))]. 12813 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7870(a,1),12805(a,1,1,2))]. 12814 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8049(a,1),12805(a,1,1,2))]. 12815 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(12771(a,2),12019(a,1,2,1)),flip(a)]. 12816 K(T(x / y,x) \ z,u) != w | K((y \ x) \ z,u) = w. [para(12807(a,2),6197(a,1))]. 12817 K(T(x,y) \ z,u) != w | K(((x \ y) \ y) \ z,u) = w. [para(63(a,1),12816(a,1,1,1,1))]. 12818 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(141(a,1),12816(a,1,1,1))]. 12819 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [hyper(12817,a,xx)]. 12820 K(T(x \ y,y) \ z,u) = K(T(x \ y,x) \ z,u). [para(4081(a,2),12819(a,1,1,1)),flip(a)]. 12821 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12808(a,2),6197(a,1))]. 12822 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(6782,a,12800,a),flip(a)]. 12824 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(17(a,1),12822(a,1,2,1,1)),flip(a)]. 12825 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(12754,a,11025,a),flip(a)]. 12826 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [hyper(220,a,11023,a,b,12825,a(flip)),flip(a)]. 12827 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(220,a,10191,a,b,12826,a(flip)),flip(a)]. 12828 K(x * (y / z),x) * y = y * K(x * (z \ y),x). [para(12827(a,1),8034(a,1,1))]. 12829 x / (x * K(y * (z \ x),y)) = K(y,y * (x / z)). [para(12828(a,1),5244(a,1,2))]. 12830 K(x,T(x * (y \ z),z)) = K(x,x * (z / y)). [hyper(8123,a,12829,a)]. 12832 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(7551,a,12798,a),flip(a)]. 12834 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(11995(a,1),12832(a,1,2,1))]. 12835 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(12558(a,1),12834(a,1,2))]. 12836 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(16(a,1),12835(a,1,2,2)),flip(a)]. 12838 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(10412(a,1),12836(a,1,2,2))]. 12839 (x * y) \ (x * ((y * z) * a(u,w,u))) = a(u,w,u) * L(z,y,x). [para(12730(a,1),12737(a,1,2))]. 12841 (x * y) \ (x * (y * (z * a(u,w,u)))) = a(u,w,u) * L(z,y,x). [para(12730(a,1),12839(a,1,2,2))]. 12842 L(x * a(y,z,y),u,w) = a(y,z,y) * L(x,u,w). [hyper(396,a,12841,a)]. 12843 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [hyper(220,a,12008,a,b,12842,a(flip)),flip(a)]. 12844 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(12843(a,2),11996(a,1,2))]. 12845 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(12017(a,1),12844(a,1,2,1)),flip(a)]. 12846 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(3428,a,12845,a)]. 12847 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(12846(a,1),45(a,2,1))]. 12848 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [hyper(4331,a,12847,a),flip(a)]. 12850 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(66(a,1),12848(a,1,1,2,1)),flip(a)]. 12851 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5105(a,1),12804(a,1,2,2))]. 12852 (L(a(x,y,x),z,u) * w) * v5 = w * (v5 * L(a(x,y,x),z,u)). [hyper(675,a,12767,a),flip(a)]. 12854 (x * L(a(y,z,y),u,w)) * v5 = x * (v5 * L(a(y,z,y),u,w)). [para(12005(a,1),12852(a,1,1))]. 12855 (x * L(a(y,z,y),u,w)) * v5 = x * (L(a(y,z,y),u,w) * v5). [para(12005(a,2),12854(a,2,2))]. 12856 L(x,L(a(y,z,y),u,w),v5) = x. [hyper(388,a,12855,a)]. 12857 L(x,a(y,z,y),u) = x. [hyper(9146,a,12856,a)]. 12860 K(L(x,a(y,z,y),u),w) = K(x,w). [hyper(220,a,12613,a(flip),b,12857,a(flip)),flip(a)]. 12861 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(220,a,217,a(flip),b,12857,a(flip)),flip(a)]. 12862 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12857(a,1),103(a,1,2))]. 12863 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(220,a,12116,a,b,12861,a(flip)),flip(a)]. 12864 R(x,a(y,z,y),u) = x. [hyper(4687,a,12862,a)]. 12865 (x / y) / a(z,u,z) = x / (a(z,u,z) * y). [hyper(502,a,12862,a),flip(a)]. 12867 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(12862(a,1),27(a,2,1)),flip(a)]. 12868 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(220,a,806,a(flip),b,12864,a(flip)),flip(a)]. 12869 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [hyper(11999,a,12865,a),flip(a)]. 12870 K(x,(a(y,z,y) \ (u / w)) \ 1) = K(x,(a(y,z,y) * w) / u). [para(12869(a,1),5510(a,1,2,1))]. 12871 K(x,(a(y,z,y) * u) / w) = K(x,(w / u) \ a(y,z,y)). [hyper(6418,a,12870,a),flip(a)]. 12872 K(x,(y / z) \ a(u,w,u)) = K(x,(z / y) * a(u,w,u)). [para(12574(a,1),12871(a,1,2)),flip(a)]. 12873 K(x,(a(y,z,y) * u) / w) = K(x,(u / w) * a(y,z,y)). [hyper(220,a,12871,a,b,12872,a(flip)),flip(a)]. 12874 K(x,(y * a(z,u,z)) / w) = K(x,(y / w) * a(z,u,z)). [para(11975(a,1),12873(a,1,2,1))]. 12875 K(x,((y * L(z,u,z)) / w) * a(z,u,z)) = K(x,(y * z) / w). [para(10439(a,1),12874(a,1,2,1)),flip(a)]. 12876 K(x,(y * L(z,u,z)) / w) = K(x,(y * z) / w). [hyper(12786,a,12875,a)]. 12878 K(x,(y * R(z,u,z)) / w) = K(x,(y * z) / w). [para(6480(a,1),12876(a,1,2,1,2)),flip(a)]. 12879 K(x,T(y * z,y) / u) = K(x,(z * y) / u). [para(4572(a,1),12878(a,1,2,1))]. 12880 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12702(a,1),12815(a,2,2,1))]. 12882 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(12880(a,2),12020(a,1))]. 12884 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12549(a,1),12572(a,1,2))]. 12885 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(4746(a,1),12850(a,2,1)),flip(a)]. 12886 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(220,a,4439,a(flip),b,12885,a(flip)),flip(a)]. 12887 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(220,a,11715,a(flip),b,12886,a(flip)),flip(a)]. 12888 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(66(a,1),12887(a,2,1,2,1))]. 12889 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(4746(a,1),12888(a,2,1))]. 12890 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(16(a,1),12889(a,1,2)),flip(a)]. 12891 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [hyper(71,a,12890,a(flip),b,4801,a(flip))]. 12892 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [hyper(4869,a,12891,a),flip(a)]. 12893 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(12892(a,1),5142(a,1,1)),flip(a)]. 12894 K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). [hyper(220,a,5142,a(flip),b,12893,a)]. 12896 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [para(12894(a,1),11891(a,2,2))]. 12899 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(12763,a,12868,a)]. 12900 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [hyper(12117,a,12899,a)]. 12902 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(220,a,12863,a(flip),b,12900,a)]. 12903 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(35(a,2),12902(a,2,2))]. 12904 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(12778,a,12903,a),flip(a)]. 12906 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12904(a,1),11973(a,1,2))]. 12907 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(16(a,1),12906(a,1,2,1)),flip(a)]. 12908 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(11976,a,12907,a),flip(a)]. 12909 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12908(a,2),5934(a,1,1,2,2))]. 12910 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(11975(a,1),12908(a,1,1))]. 12911 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(71,a,12910,a,b,xx)]. 12912 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(220,a,4801,a(flip),b,12911,a)]. 12913 K(x * a(y,z,y),u) = K(x,u). [hyper(12616,a,12912,a)]. 12916 K(a(x,y,x) * z,u) = K(z,u). [para(11975(a,2),12913(a,1,1))]. 12918 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(220,a,12860,a,b,12916,a),flip(a)]. 12920 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12918(a,1),10022(a,1))]. 12921 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(3854(a,1),12920(a,1,1,1))]. 12922 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(11975(a,1),12920(a,1,1))]. 12923 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(10416(a,1),12922(a,1,1))]. 12925 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(2592(a,1),12921(a,1,1))]. 12926 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(2711(a,1),12921(a,1,1))]. 12927 K((x \ 1) * y,z) != u | K((1 / x) * y,z) = u. [para(2769(a,1),12921(a,1,1))]. 12928 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(4082(a,1),12923(a,1,1))]. 12929 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(63(a,1),12926(a,1,1,2,2))]. 12932 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(683,a,12884,a)]. 12933 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(10404(a,1),12932(a,2,3))]. 12934 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(10408(a,1),12932(a,2,3))]. 12935 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(12762,a,12933,a)]. 12938 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(17(a,1),12935(a,1,3,1)),flip(a)]. 12939 L(x,y / z,K(y,z)) = x. [hyper(7393,a,12938,a)]. 12940 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12939(a,1),5284(a,1,2)),flip(a)]. 12941 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5249,a,12940,a)]. 12942 R(K(x,y),x \ y,z) = K(x,y). [hyper(8710,a,12941,a)]. 12943 R(K(x,x * y),y,z) = K(x,x * y). [para(16(a,1),12942(a,1,2))]. 12945 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(220,a,11565,a,b,12943,a(flip)),flip(a)]. 12946 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12943(a,1),10748(a,2,2))]. 12948 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12945(a,1),11602(a,1,1))]. 12949 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(220,a,4801,a,b,12946,a)]. 12951 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(220,a,4453,a(flip),b,12949,a(flip)),flip(a)]. 12952 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(19(a,1),12951(a,1,2,1,2))]. 12953 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(220,a,10150,a,b,12952,a(flip)),flip(a)]. 12954 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(220,a,4801,a(flip),b,12953,a),flip(a)]. 12955 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(20,a,10133,a,b,12954,a),flip(a)]. 12956 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(20,a,4801,a(flip),b,12954,a),flip(a)]. 12957 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6887,a,12955,a)]. 12958 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12956(a,1),8090(a,1,1,2))]. 12959 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(220,a,12830,a,b,12957,a),flip(a)]. 12960 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12957(a,1),6704(a,1,1))]. 12961 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(220,a,7515,a,b,12959,a(flip)),flip(a)]. 12962 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(220,a,11228,a(flip),b,12959,a(flip))]. 12963 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(220,a,9268,a(flip),b,12961,a(flip)),flip(a)]. 12964 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(16(a,1),12963(a,1,2,1,1)),flip(a)]. 12965 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(10331,a,12964,a),flip(a)]. 12966 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12962(a,1),6704(a,1,1))]. 12967 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8351,a,12958,a),flip(a)]. 12968 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(220,a,9060,a(flip),b,12967,a(flip)),flip(a)]. 12969 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10591,a,12968,a)]. 12970 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12969(a,1),12512(a,1,2))]. 12971 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(220,a,6704,a(flip),b,12960,a(flip))]. 12972 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7503,a,12965,a)]. 12973 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(220,a,9558,a(flip),b,12972,a(flip))]. 12975 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(118(a,1),12973(a,1,2,1,1,2))]. 12976 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(220,a,10141,a(flip),b,12975,a(flip))]. 12977 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(220,a,12957,a(flip),b,12948,a)]. 12979 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(33(a,2),12977(a,2,2,2))]. 12980 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12633,a,12979,a)]. 12981 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8422,a,12976,a)]. 12982 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(220,a,5400,a(flip),b,12981,a)]. 12983 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(66(a,1),12982(a,2,2,1,1))]. 12984 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(220,a,11566,a(flip),b,12983,a),flip(a)]. 12986 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12984(a,2),6704(a,1,1))]. 12987 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(220,a,6708,a(flip),b,12986,a(flip)),flip(a)]. 12988 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(17(a,1),12934(a,1,1,3,2))]. 12989 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(220,a,6704,a(flip),b,12966,a(flip))]. 12990 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(220,a,12971,a(flip),b,12989,a(flip))]. 12991 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(63(a,1),12990(a,2,2,2))]. 12992 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(220,a,12987,a,b,12991,a(flip)),flip(a)]. 12994 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12634(a,1),12992(a,1,1))]. 12995 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12633,a,12994,a)]. 12996 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(220,a,12634,a(flip),b,12995,a)]. 12997 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(220,a,12674,a(flip),b,12996,a(flip))]. 12999 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(220,a,12980,a(flip),b,12997,a(flip))]. 13000 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12999(a,2),4812(a,2,1)),flip(a)]. 13001 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4813,a,13000,a)]. 13003 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12549(a,1),12560(a,2,1))]. 13004 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(220,a,4086,a(flip),b,12675,a)]. 13005 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7345(a,2),13004(a,2,1))]. 13006 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(220,a,12559,a(flip),b,13003,a)]. 13007 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(33(a,2),13006(a,2,2))]. 13008 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12555(a,1),13007(a,1,2))]. 13009 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(13008(a,2),12430(a,1,1,2))]. 13010 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(13008(a,2),12549(a,1,1))]. 13011 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(11975(a,1),13010(a,1,1,1))]. 13012 a(x,y,x) * (R(y,z,u) * x) = x * R(x \ T(x * y,x),z,u). [hyper(10419,a,13011,a),flip(a)]. 13013 R(x,y,z) * R(u,x,u) = u * R(u \ T(u * x,u),y,z). [hyper(12013,a,13012,a)]. 13014 T(x * R(x \ (x * y),z,u),x) = R(y,z,u) * R(x,y,x). [hyper(220,a,1666,a,b,13013,a),flip(a)]. 13015 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [para(16(a,1),13014(a,1,1,2,1)),flip(a)]. 13016 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13015(a,2),4076(a,1,1))]. 13017 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(220,a,10664,a(flip),b,13016,a(flip)),flip(a)]. 13018 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(220,a,13001,a,b,13017,a)]. 13019 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(220,a,9497,a(flip),b,13018,a(flip)),flip(a)]. 13020 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(220,a,12695,a,b,13019,a(flip)),flip(a)]. 13022 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3358(a,2),13019(a,2,2,1))]. 13023 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12549(a,1),12571(a,1,2,1))]. 13024 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(220,a,995,a(flip),b,12614,a)]. 13025 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(220,a,1364,a(flip),b,13024,a)]. 13026 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(8771(a,1),13025(a,2,1,2))]. 13027 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(220,a,12012,a(flip),b,13026,a)]. 13028 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(9874(a,1),13027(a,1,1))]. 13029 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(220,a,10690,a(flip),b,13028,a(flip)),flip(a)]. 13030 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(220,a,11709,a,b,13029,a(flip)),flip(a)]. 13031 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(220,a,11401,a(flip),b,13030,a(flip)),flip(a)]. 13032 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4942(a,1),12617(a,2,2))]. 13033 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(10421,a,13032,a)]. 13034 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12731(a,1),13033(a,1,1))]. 13035 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(220,a,12746,a(flip),b,13034,a)]. 13037 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),13035(a,2,2))]. 13038 a(x,L(y,z,u),x) = a(x,y,x). [hyper(12761,a,13037,a),flip(a)]. 13039 a(x,L(y,z,u),x) != w | a(x,y,x) = w. [para(13037(a,1),12761(a,1))]. 13041 a(x,R(y,z,u),x) = a(x,L(y,w,v5),x). [hyper(220,a,12702,a,b,13038,a),flip(a)]. 13042 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1366(a,2),13038(a,1,2)),flip(a)]. 13043 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13038(a,1),10395(a,1,2)),flip(a)]. 13044 R(x,L(y,z,u),x) = R(x,y,x). [hyper(220,a,10395,a(flip),b,13043,a)]. 13045 L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). [para(13044(a,1),4572(a,1,2))]. 13046 a(x,(y * z) \ u,x) != w | a(x,z \ (y \ u),x) = w. [para(217(a,1),13039(a,1,2))]. 13047 a(x,R(y,z,u),x) = K(x,L(y,w,v5)) * K(x * L(y,w,v5),x). [hyper(220,a,10393,a,b,13041,a)]. 13048 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(13042(a,1),10440(a,1,1)),flip(a)]. 13049 K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(13045(a,1),12156(a,1,2))]. 13050 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(220,a,10440,a(flip),b,13048,a)]. 13051 T(K(x,x * y) * (x * L(y,z,u)),x) = L(y,z,u) * T(x,y). [hyper(220,a,9025,a,b,13049,a(flip)),flip(a)]. 13052 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(4875(a,1),13051(a,1,1))]. 13053 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(220,a,4315,a(flip),b,13052,a(flip)),flip(a)]. 13054 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(71,a,13053,a(flip),b,4801,a(flip))]. 13056 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(10382,a,13054,a),flip(a)]. 13057 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(220,a,11164,a(flip),b,13056,a)]. 13058 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(19(a,1),13057(a,1,1))]. 13059 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(220,a,6918,a(flip),b,13058,a(flip)),flip(a)]. 13060 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11109(a,1),13059(a,2,3))]. 13061 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(220,a,12244,a(flip),b,13060,a)]. 13063 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(220,a,10942,a(flip),b,13061,a(flip)),flip(a)]. 13064 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(220,a,5479,a,b,13063,a(flip)),flip(a)]. 13065 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(19(a,1),13063(a,1,2))]. 13066 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(13063(a,1),5244(a,1,2,1)),flip(a)]. 13067 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(220,a,10649,a(flip),b,13066,a)]. 13068 L(x,y,a(z,u,K(w,y))) = x. [para(13067(a,1),5436(a,1,3))]. 13069 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(13067(a,1),12246(a,1,3)),flip(a)]. 13070 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13069(a,1),10619(a,1,2))]. 13071 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6478,a,13065,a)]. 13072 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(220,a,10944,a(flip),b,13071,a(flip)),flip(a)]. 13073 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11129(a,1),13072(a,2,3))]. 13074 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(66(a,1),13073(a,2,3,1))]. 13077 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13074(a,1),5244(a,1,2,1)),flip(a)]. 13078 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(220,a,10649,a(flip),b,13077,a)]. 13079 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13078(a,1),4801(a,2,2))]. 13080 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13078(a,1),12255(a,1,3)),flip(a)]. 13081 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(13080(a,1),11243(a,1,1))]. 13082 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13050(a,1),13064(a,1,2))]. 13083 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5421,a,13082,a)]. 13084 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(220,a,10057,a(flip),b,13083,a(flip)),flip(a)]. 13085 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11817(a,1),13070(a,1,2)),flip(a)]. 13086 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(220,a,15,a(flip),b,13085,a)]. 13088 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(13086(a,1),5244(a,1,2,1)),flip(a)]. 13089 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(220,a,5244,a(flip),b,13088,a)]. 13090 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13089(a,1),4801(a,2,2))]. 13092 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(220,a,4801,a,b,13090,a)]. 13093 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13092(a,1),13084(a,1,2,1))]. 13094 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5005,a,13093,a)]. 13095 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(12862(a,1),12867(a,1,2,1))]. 13096 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(12762,a,12988,a)]. 13098 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(4991(a,1),13096(a,1,3)),flip(a)]. 13099 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(220,a,12938,a(flip),b,13098,a)]. 13100 L(x,K(y,z),K(y,u)) = x. [hyper(220,a,11963,a(flip),b,13099,a(flip))]. 13101 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(220,a,5838,a(flip),b,13100,a(flip)),flip(a)]. 13102 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(13100(a,1),103(a,1,2))]. 13103 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(220,a,6605,a(flip),b,13101,a(flip))]. 13104 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3199(a,1),13103(a,1,2)),flip(a)]. 13105 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(220,a,5229,a(flip),b,13104,a)]. 13106 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8231(a,1),13105(a,2,2))]. 13107 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(13106(a,1),12372(a,1,2)),flip(a)]. 13108 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12549(a,1),13023(a,1,2))]. 13109 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(220,a,12570,a(flip),b,13095,a(flip))]. 13110 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(684,a,13108,a)]. 13111 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12762,a,13110,a)]. 13113 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(17(a,1),13111(a,1,1)),flip(a)]. 13114 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(10424(a,1),13111(a,1,1))]. 13115 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(10427(a,1),13111(a,1,1))]. 13116 a(x * a(y,z,y),u,w) = a(x,u,w). [para(11975(a,1),13111(a,1,1))]. 13117 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(10385(a,1),13113(a,1,1))]. 13118 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(220,a,13109,a(flip),b,13116,a(flip)),flip(a)]. 13120 a(x,T(y * z,y),u) = a(x,z * y,u). [para(10412(a,1),13118(a,1,2))]. 13121 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(7744(a,2),13115(a,2,1)),flip(a)]. 13122 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(220,a,12718,a,b,13117,a(flip)),flip(a)]. 13123 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(6426(a,1),13117(a,1,1))]. 13124 a(x,y * z,x) = a(x,z * y,x). [hyper(12755,a,13120,a)]. 13125 a(x,K(x,y) * z,x) = a(x,z,T(x,y)). [hyper(7176,a,13124,a),flip(a)]. 13126 a(T(x,y),z,x) = a(x,z,T(x,y)). [hyper(9279,a,13125,a)]. 13127 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(220,a,5479,a,b,13122,a(flip)),flip(a)]. 13128 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(220,a,6181,a(flip),b,13122,a(flip)),flip(a)]. 13129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6513(a,1),13121(a,2,1))]. 13130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(220,a,13123,a(flip),b,13129,a)]. 13131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(117(a,1),13130(a,1,1,1,2))]. 13132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(220,a,13114,a(flip),b,13131,a(flip))]. 13133 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(220,a,12317,a,b,13132,a(flip)),flip(a)]. 13134 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3806(a,1),13132(a,1,1)),flip(a)]. 13135 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12634(a,1),13132(a,2,1))]. 13136 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11558(a,2),13134(a,2,1)),flip(a)]. 13137 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(220,a,12344,a,b,13135,a(flip)),flip(a)]. 13138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(220,a,13132,a(flip),b,13135,a(flip)),flip(a)]. 13139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6880(a,1),13136(a,2,1))]. 13140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(220,a,13134,a(flip),b,13139,a)]. 13141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11558(a,1),13140(a,1,1))]. 13142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(220,a,13138,a(flip),b,13141,a)]. 13143 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13133(a,1),13137(a,1,1)),flip(a)]. 13144 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(220,a,12719,a(flip),b,13143,a)]. 13145 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(220,a,13142,a(flip),b,13144,a(flip)),flip(a)]. 13146 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(11818(a,1),13081(a,1,1))]. 13147 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(74,a,13146,a)]. 13149 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(220,a,6559,a(flip),b,13147,a(flip)),flip(a)]. 13151 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13149(a,1),4801(a,2,2)),flip(a)]. 13153 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4804,a,13151,a),flip(a)]. 13154 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13153(a,2),610(a,1,1))]. 13156 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(220,a,13079,a(flip),b,13154,a)]. 13158 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(292(a,1),12671(a,1,1)),flip(a)]. 13159 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(220,a,9213,a(flip),b,13158,a)]. 13160 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7837(a,1),13159(a,1,2,1,1))]. 13161 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8555(a,1),13160(a,1,2,1))]. 13162 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4812(a,2),13161(a,1,2))]. 13163 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(220,a,8734,a,b,13162,a(flip)),flip(a)]. 13164 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7884(a,1),13163(a,1,1))]. 13165 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12174,a,13164,a)]. 13166 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(220,a,12322,a(flip),b,13165,a(flip))]. 13167 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(20,a,4801,a(flip),b,13166,a)]. 13168 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12646,a,13167,a)]. 13169 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(13168(a,1),12331(a,1,2))]. 13170 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(74,a,13169,a),flip(a)]. 13171 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(220,a,13167,a,b,13170,a)]. 13172 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7873(a,1),13170(a,1,1))]. 13173 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7873(a,1),13171(a,1,1))]. 13174 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12644(a,2),13171(a,2,1)),flip(a)]. 13175 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(220,a,13173,a,b,13174,a(flip)),flip(a)]. 13176 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(11472(a,1),12970(a,1,2)),flip(a)]. 13177 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(220,a,5066,a(flip),b,13176,a)]. 13178 L(x,y / z,x) = L(x,z \ y,x). [hyper(220,a,12139,a(flip),b,13177,a(flip))]. 13180 L(x,(y \ z) \ z,x) = L(x,y,x). [para(63(a,1),13178(a,1,2)),flip(a)]. 13181 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3519(a,2),13178(a,1,2))]. 13182 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4931(a,2),13178(a,1,2))]. 13184 L(x,y * K(z,y),x) = L(x,y,x). [para(5646(a,1),13180(a,1,2)),flip(a)]. 13185 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5480(a,1),13184(a,1,2))]. 13186 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(220,a,13185,a(flip),b,13182,a(flip))]. 13187 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(12882,a,13186,a),flip(a)]. 13190 L(x,R(y,z,u),x) = L(x,y,x). [para(16(a,1),13187(a,2,2))]. 13191 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(27(a,2),13181(a,2,2))]. 13192 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(220,a,13190,a(flip),b,13191,a(flip)),flip(a)]. 13194 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13192(a,1),13127(a,1,2))]. 13195 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5421,a,13194,a)]. 13196 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(17(a,1),13009(a,1,1,2,1)),flip(a)]. 13197 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13196(a,1),13128(a,1,1))]. 13198 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(16(a,1),13197(a,1,2))]. 13199 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4909,a,13198,a),flip(a)]. 13201 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13199(a,1),13172(a,2,2))]. 13202 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13199(a,2),13195(a,1,1))]. 13203 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(220,a,13175,a(flip),b,13201,a(flip))]. 13204 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(220,a,8854,a,b,13203,a(flip)),flip(a)]. 13205 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7875(a,2),13204(a,2,1))]. 13206 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(8863,a,13205,a)]. 13207 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(220,a,8953,a(flip),b,13206,a(flip)),flip(a)]. 13208 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7893(a,1),13207(a,2,1))]. 13210 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8561(a,1),13208(a,2,1))]. 13211 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(8961,a,13210,a)]. 13214 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(220,a,9597,a(flip),b,13211,a(flip)),flip(a)]. 13216 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(220,a,12018,a(flip),b,13202,a(flip)),flip(a)]. 13217 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(10961,a,12770,a)]. 13218 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(13046,a,13217,a)]. 13219 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(31(a,2),13218(a,1,2,2))]. 13220 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4730(a,1),13219(a,1,2))]. 13221 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(9867,a,13220,a)]. 13222 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(220,a,12746,a(flip),b,13221,a),flip(a)]. 13223 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(145(a,1),13222(a,1,2,2))]. 13224 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(13223(a,1),10823(a,1,1,2))]. 13225 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(17(a,1),12909(a,1,1,2,2,1)),flip(a)]. 13226 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(220,a,5733,a(flip),b,13225,a)]. 13228 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(10403(a,1),13226(a,1,2,1,2))]. 13229 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(10452(a,1),13226(a,1,2,1)),flip(a)]. 13231 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(31(a,2),12694(a,1,2,2,2)),flip(a)]. 13232 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(220,a,12896,a(flip),b,13231,a)]. 13233 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(220,a,11397,a(flip),b,13232,a)]. 13234 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8002,a,13233,a)]. 13235 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13233(a,1),8002(a,1))]. 13236 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(220,a,7869,a,b,13234,a(flip)),flip(a)]. 13237 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(220,a,12434,a,b,13236,a(flip)),flip(a)]. 13239 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(220,a,8284,a(flip),b,13237,a(flip)),flip(a)]. 13240 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(220,a,13214,a(flip),b,13239,a(flip)),flip(a)]. 13241 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9176(a,1),13240(a,1,1)),flip(a)]. 13242 K(x,K(y * z,a(y,z,u))) = 1. [hyper(220,a,11870,a(flip),b,13241,a)]. 13243 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13235,a,13242,a)]. 13246 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13243(a,1),8897(a,1,2)),flip(a)]. 13247 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(220,a,15,a(flip),b,13246,a)]. 13249 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(220,a,8692,a,b,13247,a(flip)),flip(a)]. 13250 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13199(a,2),13249(a,1,1))]. 13251 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(220,a,13143,a,b,13250,a(flip)),flip(a)]. 13252 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(220,a,13145,a(flip),b,13251,a(flip)),flip(a)]. 13254 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13252(a,1),13216(a,1,2))]. 13255 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(10411,a,13254,a)]. 13256 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(220,a,13252,a(flip),b,13255,a)]. 13257 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(220,a,12644,a(flip),b,13255,a)]. 13258 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(220,a,13094,a(flip),b,13256,a(flip)),flip(a)]. 13259 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(13258(a,2),4801(a,2,2)),flip(a)]. 13261 a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. [para(13258(a,2),4813(a,1,1))]. 13262 a(x,y,K(z,u)) \ w = K(a(x,y,u),z) * w. [para(13258(a,2),5242(a,1,1))]. 13263 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(220,a,13094,a(flip),b,13257,a(flip))]. 13264 a(K(x,y),z,z \ x) = 1. [hyper(220,a,11185,a(flip),b,13263,a)]. 13266 a(x,x,K(y,z)) = 1. [hyper(220,a,5438,a(flip),b,13263,a(flip))]. 13267 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13263(a,1),12328(a,1,1,2))]. 13268 L(K(x,y),z,z) = K(x,y). [hyper(36,a,13266,a)]. 13270 L(x \ y,x,K(y,z)) = x \ y. [hyper(36,a,13264,a)]. 13273 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(220,a,4887,a(flip),b,13270,a(flip)),flip(a)]. 13275 T(x,y) / (z \ x) = K(x,y) * z. [para(13273(a,1),63(a,1,2))]. 13277 K(x,y) * (1 / z) = K(x,y) / z. [hyper(220,a,11700,a(flip),b,13275,a(flip))]. 13279 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(220,a,4966,a,b,13277,a(flip)),flip(a)]. 13281 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13277(a,1),6359(a,1,1))]. 13282 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(10651,a,13262,a)]. 13283 K(x,a(y,z,u)) * a(y,z,K(u,x)) = 1. [para(13282(a,2),5153(a,1,2))]. 13284 x / (y * a(z,u,K(w,y))) = (x / y) * K(y,a(z,u,w)). [para(13282(a,2),6363(a,1,2,2))]. 13285 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13281(a,1),10345(a,1,1))]. 13286 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(220,a,10631,a(flip),b,13267,a(flip))]. 13287 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(220,a,13263,a(flip),b,13286,a(flip))]. 13288 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13286(a,1),133(a,1,2))]. 13289 (K(x,y) * (K(z,u) * w)) * a(x,w,K(K(z,T(u,w)),y)) = (K(x,y) * w) * T(K(z,u),w). [para(13286(a,1),7373(a,1,2))]. 13290 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(13286(a,1),8093(a,1,2))]. 13291 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13286(a,1),13020(a,1,2))]. 13292 x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). [hyper(220,a,10649,a,b,13287,a),flip(a)]. 13294 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(220,a,13258,a(flip),b,13287,a)]. 13295 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(220,a,12260,a(flip),b,13287,a)]. 13296 a(x \ 1,x,K(y,z)) = 1. [hyper(220,a,9831,a(flip),b,13287,a)]. 13297 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(24,a,13287,a)]. 13298 a(x,y,K(z,u \ z)) = a(z,y,K(x,u)). [hyper(220,a,12259,a,b,13287,a(flip)),flip(a)]. 13299 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(220,a,11172,a,b,13287,a(flip)),flip(a)]. 13300 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(220,a,10597,a,b,13287,a(flip)),flip(a)]. 13301 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [hyper(220,a,9877,a(flip),b,13287,a(flip)),flip(a)]. 13302 K(x,y) * a(x,z,K(u,y)) = L(K(x,y),z,u). [para(13287(a,1),10599(a,1,2))]. 13303 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13287(a,1),10607(a,2,1))]. 13304 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(13287(a,2),10632(a,1,2))]. 13305 K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. [para(13287(a,1),10624(a,1,2,1))]. 13306 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13287(a,2),10648(a,1,1))]. 13308 L(x,y,a(y,z,K(u,w))) = x. [para(13287(a,1),13068(a,1,3))]. 13309 K(x,a(y,z,u)) * a(u,z,K(x,y)) = 1. [para(13287(a,2),13283(a,1,2))]. 13310 L(K(x,y),z,z \ 1) = K(x,y). [hyper(36,a,13296,a)]. 13311 L(K(x,y),z,z \ x) = K(x,y). [hyper(11684,a,13310,a)]. 13312 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11162,a,13310,a)]. 13315 K(x,y * (z \ 1)) = K(x,y / z). [hyper(220,a,12667,a(flip),b,13310,a(flip)),flip(a)]. 13317 K(((x \ 1) * y) \ 1,z) = K(y \ x,z). [hyper(220,a,9994,a(flip),b,13310,a(flip)),flip(a)]. 13318 1 / (x * K(y,z)) = K(z,y) / x. [hyper(72,a,13310,a(flip),b,6177,a(flip)),flip(a)]. 13319 (1 / x) \ K(y,z) = x * K(y,z). [hyper(71,a,13310,a(flip),b,2773,a)]. 13320 L(K(x * y,z),x,y) = K(x * y,z). [para(16(a,1),13311(a,1,3))]. 13322 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(71,a,13312,a(flip),b,12679,a),flip(a)]. 13323 K(x,(1 / y) * z) = K(x,y \ z). [para(2770(a,1),13312(a,1,2))]. 13324 K(x,(y \ 1) \ z) = K(x,y * z). [para(2772(a,1),13312(a,1,2)),flip(a)]. 13325 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13294(a,1),13258(a,2,2))]. 13329 T(x,y * (1 / z)) = x * K(x,y / z). [para(13315(a,1),4864(a,1,2)),flip(a)]. 13331 (K(x,y) / z) \ 1 = z * K(y,x). [para(13318(a,1),66(a,1,1))]. 13336 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13318(a,2),13281(a,1,1))]. 13339 (x / y) \ T(x,z) = y * K(x,z). [hyper(220,a,11698,a(flip),b,13319,a(flip)),flip(a)]. 13341 (x \ 1) * K(y,z) = x \ K(y,z). [para(63(a,1),13319(a,1,1)),flip(a)]. 13342 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(220,a,5242,a(flip),b,13322,a)]. 13347 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(220,a,5323,a(flip),b,13323,a(flip)),flip(a)]. 13348 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(220,a,12066,a,b,13324,a),flip(a)]. 13353 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13331(a,1),5332(a,2,2,1,2))]. 13355 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13331(a,1),11511(a,1,1,1,2))]. 13374 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11162,a,13320,a)]. 13375 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13299(a,1),11197(a,1))]. 13376 a(x,y,K(z,u)) * a(z,y,K(x,u)) = 1. [para(13294(a,2),13309(a,1,1))]. 13379 K((x \ 1) * y,z) = K(x \ y,z). [hyper(220,a,11699,a(flip),b,13317,a(flip)),flip(a)]. 13382 K((1 / x) * y,z) = K(x \ y,z). [hyper(12927,a,13379,a)]. 13386 K((x \ 1) \ y,z) = K(x * y,z). [hyper(220,a,9400,a(flip),b,13379,a(flip))]. 13399 ((x * y) / z) \ T(x * y,u) = z * K((x \ 1) \ y,u). [para(13386(a,2),13339(a,2,2))]. 13400 T(x,y * (1 / z)) = T(x,y / z). [hyper(220,a,4801,a,b,13329,a)]. 13401 T(x,y / (1 / z)) = T(x,y * z). [hyper(220,a,4438,a(flip),b,13400,a(flip))]. 13406 K(x,y) * K(L(y,z,u),x) != w | a(x,z * y,K(y,u)) = w. [para(10608(a,2),13375(a,1))]. 13407 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(7836(a,1),13301(a,2,3)),flip(a)]. 13408 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7875(a,1),13301(a,2,3))]. 13409 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(7892(a,1),13302(a,1,2,3))]. 13410 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(7873(a,1),13325(a,1,3))]. 13411 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(220,a,10271,a,b,13342,a(flip)),flip(a)]. 13422 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(220,a,10786,a,b,13408,a),flip(a)]. 13423 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(220,a,13301,a(flip),b,13410,a(flip)),flip(a)]. 13426 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(220,a,8546,a(flip),b,13336,a(flip)),flip(a)]. 13427 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(13426(a,1),13277(a,1,2))]. 13429 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(20,a,249,a(flip),b,13305,a)]. 13430 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. [para(13305(a,1),5265(a,1,2)),flip(b)]. 13431 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(220,a,8564,a(flip),b,13429,a)]. 13432 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13429(a,1),23(a,1))]. 13433 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13429(a,2),8596(a,1))]. 13434 K(x / (y \ 1),z) = K((x \ 1) \ y,z). [hyper(12503,a,13399,a)]. 13435 K(x / (1 / y),z) = K((x \ 1) \ y,z). [hyper(220,a,9397,a,b,13434,a(flip)),flip(a)]. 13437 K(x / (1 / y),z) = K(x * y,z). [hyper(220,a,13386,a(flip),b,13435,a)]. 13439 K(x * (y \ 1),z) = K(x / y,z). [para(63(a,1),13437(a,1,1,2)),flip(a)]. 13440 K(x * (1 / y),z) = K(x / y,z). [hyper(12925,a,13439,a)]. 13442 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(220,a,11147,a(flip),b,13409,a)]. 13444 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(220,a,8412,a,b,13442,a)]. 13445 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(10632,a,13288,a)]. 13446 K(x * L(y,z,u),x * y) != w | a(x,z * y,K(y,u)) = w. [para(13056(a,2),13406(a,1))]. 13447 K((1 / x) * L(y,z,u),x \ y) != w | a(1 / x,z * y,K(y,u)) = w. [para(13323(a,1),13446(a,1))]. 13448 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(39,a,13411,a)]. 13449 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(10270(a,2),13448(a,1,2))]. 13450 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13449(a,1),1791(a,1,1)),flip(a)]. 13451 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(220,a,55,a(flip),b,13450,a)]. 13453 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13451(a,1),3037(a,1,1,2))]. 13454 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7893(a,1),13422(a,1,2))]. 13455 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(104(a,2),13431(a,2,2,2)),flip(a)]. 13456 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(7873(a,1),13431(a,1,1,3))]. 13457 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8459(a,1),13431(a,1,1,3))]. 13458 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(20,a,13409,a,b,13444,a),flip(a)]. 13459 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(17(a,1),13458(a,1,2)),flip(a)]. 13460 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7875(a,2),13458(a,1,3))]. 13461 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7875(a,2),13460(a,2,3))]. 13462 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(220,a,12214,a(flip),b,13454,a(flip)),flip(a)]. 13463 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10616(a,1),13462(a,1,1))]. 13464 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7893(a,1),13463(a,2,3))]. 13465 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(220,a,13456,a(flip),b,13457,a(flip))]. 13466 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(66(a,1),13465(a,1,2,2,3)),flip(a)]. 13467 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7873(a,1),13433(a,1,1,3))]. 13469 K(x \ L(y,z,u),x \ y) = a(1 / x,z * y,K(y,u)). [hyper(13447,a,13382,a),flip(a)]. 13470 K(x,(L(y,z,u) / x) \ y) = a(1 / (L(y,z,u) / x),z * y,K(y,u)). [hyper(10062,a,13469,a)]. 13471 K(x,x * (L(y,z,u) \ y)) = a(1 / (L(y,z,u) / x),z * y,K(y,u)). [hyper(220,a,10938,a(flip),b,13470,a(flip)),flip(a)]. 13472 K(x,x * (L(y,z,u) \ y)) = a((L(y,z,u) / x) \ 1,z * y,K(y,u)). [hyper(220,a,3890,a(flip),b,13471,a)]. 13473 K(x,x * (L(y,z,u) \ y)) = a(u,z * y,K(y,L(y,z,u) / x)). [hyper(220,a,13295,a(flip),b,13472,a)]. 13474 K(x,x * (L(y,z,u) \ y)) = a(u,z * y,K(y,x \ y)). [para(11142(a,1),13473(a,2,3))]. 13475 K(x,x * (L(y,z,u) \ y)) = a(y,z * y,K(u,x)). [hyper(220,a,13298,a(flip),b,13474,a)]. 13477 K(x * (L(y,z,u) \ y),x) = w / (a(y,z * y,K(u,x)) * w). [para(13475(a,1),5244(a,1,2,1)),flip(a)]. 13478 K(x * (L(y,z,u) \ y),x) = a(x,z * y,K(u,y)). [hyper(220,a,13292,a(flip),b,13477,a)]. 13479 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(8050(a,1),13290(a,1,2,3))]. 13480 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13459(a,1),13455(a,2,1))]. 13481 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(220,a,13431,a(flip),b,13480,a)]. 13482 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(104(a,1),13481(a,1,2,2))]. 13483 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11443(a,2),13482(a,1,2,2))]. 13484 (K(x,y) * (K(z,u) * w)) * a(x,w,K(z,K(T(u,w),y))) = (K(x,y) * w) * T(K(z,u),w). [para(7837(a,1),13289(a,1,2,3))]. 13485 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(11653(a,1),13355(a,1,1,1,2))]. 13486 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10741(a,1),13485(a,1,1,1)),flip(a)]. 13487 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2621(a,2),13486(a,1,2,2,1))]. 13488 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(66(a,1),13487(a,1,2,2))]. 13490 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(11951(a,1),13488(a,1,2))]. 13491 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(13490(a,2),63(a,1,2))]. 13493 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(15(a,1),13453(a,1,1)),flip(a)]. 13494 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(10269(a,1),13493(a,2,3))]. 13495 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(10269(a,1),13494(a,1,1))]. 13496 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(13102(a,1),13495(a,1,2))]. 13497 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(220,a,12133,a(flip),b,13496,a(flip)),flip(a)]. 13498 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5238(a,1),13497(a,1,2)),flip(a)]. 13499 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(220,a,5238,a(flip),b,13498,a)]. 13502 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11296(a,1),13022(a,1,1))]. 13503 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(66(a,1),13502(a,1,1,2,1,2,1))]. 13504 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10853(a,1),13503(a,1,1))]. 13505 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(220,a,11350,a(flip),b,13504,a(flip)),flip(a)]. 13507 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(66(a,1),13505(a,1,2,2,1)),flip(a)]. 13508 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(220,a,9579,a(flip),b,13507,a)]. 13510 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(220,a,13019,a(flip),b,13508,a)]. 13511 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(17(a,1),13510(a,2,2,1))]. 13512 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3358(a,1),13511(a,1,2,1))]. 13514 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(8948(a,1),12663(a,1,2,2)),flip(a)]. 13515 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7893(a,1),13514(a,2,2))]. 13517 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(220,a,9457,a(flip),b,13107,a)]. 13518 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(6961(a,1),13517(a,2,1,2))]. 13519 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(9050(a,1),13518(a,2,1))]. 13520 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3043(a,1),13519(a,2,1,1))]. 13521 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(5681(a,1),13520(a,2,2))]. 13522 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(220,a,13448,a(flip),b,13521,a)]. 13524 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11082(a,1),13522(a,1,1))]. 13525 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13524(a,1),12377(a,1,2)),flip(a)]. 13526 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(220,a,13106,a(flip),b,13525,a)]. 13528 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5620(a,1),13526(a,1,2,1))]. 13529 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11082(a,1),13528(a,1,2))]. 13530 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13529(a,1),66(a,1,1))]. 13531 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13530(a,1),3298(a,1,1,1))]. 13532 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(134(a,1),12676(a,2,2))]. 13533 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(220,a,4791,a,b,13532,a)]. 13535 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(220,a,7875,a,b,13533,a)]. 13536 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13005(a,1),13535(a,1,2))]. 13537 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8591,a,13536,a)]. 13538 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7879,a,13537,a)]. 13539 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(220,a,7456,a(flip),b,13538,a(flip)),flip(a)]. 13541 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4988(a,1),13539(a,1,2))]. 13542 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(13541(a,1),13515(a,2,2))]. 13543 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7873(a,1),13542(a,2,2))]. 13544 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11147(a,1),13543(a,1,1,2))]. 13545 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(220,a,9598,a,b,13544,a(flip)),flip(a)]. 13546 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(12431(a,1),13545(a,1,1)),flip(a)]. 13547 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(13546(a,1),485(a,1))]. 13548 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12146(a,1),12750(a,1,1))]. 13549 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13031(a,1),13548(a,1,1))]. 13550 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(16(a,1),13549(a,1,1,1))]. 13551 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(16(a,1),13550(a,1,1,3)),flip(a)]. 13552 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6119(a,1),13551(a,2,2))]. 13553 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(16(a,1),13552(a,2,2,2))]. 13554 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5141(a,1),13553(a,2,2))]. 13555 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(220,a,10404,a(flip),b,13554,a)]. 13556 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6421,a,13555,a)]. 13557 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(16(a,1),13556(a,1,2))]. 13558 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(12929,a,13557,a)]. 13559 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(220,a,11934,a(flip),b,13558,a(flip)),flip(a)]. 13561 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(17(a,1),13559(a,2,1))]. 13562 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(220,a,11063,a(flip),b,13561,a(flip))]. 13563 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(12818,a,13562,a)]. 13565 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(220,a,6821,a(flip),b,13563,a(flip)),flip(a)]. 13567 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(17(a,1),13565(a,1,1,2,1)),flip(a)]. 13568 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(220,a,8667,a,b,13567,a)]. 13569 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13568(a,1),234(a,1,2))]. 13570 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(220,a,8670,a,b,13569,a(flip)),flip(a)]. 13571 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [hyper(220,a,2902,a(flip),b,13570,a(flip)),flip(a)]. 13572 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((x \ (x * y)) \ z) * (x \ (x * y)). [hyper(220,a,6823,a,b,13571,a(flip)),flip(a)]. 13573 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * (x \ (x * y)). [para(16(a,1),13572(a,2,1,1))]. 13574 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * y. [para(16(a,1),13573(a,2,2))]. 13575 K(x,y * ((z * x) \ z)) = (((x \ y) * x) \ 1) * ((y \ 1) \ 1). [para(13574(a,1),12407(a,1,1,1)),flip(a)]. 13576 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(220,a,12404,a(flip),b,13575,a)]. 13578 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [para(17(a,1),13576(a,1,2,2,1)),flip(a)]. 13579 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(220,a,8666,a,b,13578,a)]. 13580 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13579(a,1),5001(a,1,2))]. 13581 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(220,a,8669,a,b,13580,a(flip)),flip(a)]. 13582 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13106(a,1),13531(a,1,1))]. 13583 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13530(a,1),13582(a,1,2,2))]. 13584 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(7670(a,1),13583(a,1,2))]. 13585 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(11345(a,1),13584(a,1,2))]. 13586 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13499(a,1),13585(a,1,2)),flip(a)]. 13587 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13530(a,1),13586(a,1,1,1,1))]. 13588 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13106(a,1),13587(a,1,1,1))]. 13589 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13530(a,1),13588(a,1,1)),flip(a)]. 13590 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13589(a,1),8432(a,1,1))]. 13591 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8354(a,1),13590(a,1,2))]. 13592 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(220,a,11367,a(flip),b,13591,a(flip)),flip(a)]. 13593 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4856(a,1),13592(a,1,2))]. 13594 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(220,a,12291,a(flip),b,13593,a(flip))]. 13596 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(5620(a,1),9615(a,1,1,1))]. 13601 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13594(a,1),13596(a,1,1))]. 13602 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5562(a,1),13601(a,1,1,1)),flip(a)]. 13603 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5326(a,1),13602(a,2,2))]. 13604 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(9442(a,1),13603(a,2,2))]. 13605 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(10203(a,1),13604(a,2,2))]. 13606 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(16(a,1),13605(a,2,2,1))]. 13607 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(220,a,6140,a(flip),b,13606,a)]. 13609 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(220,a,8424,a(flip),b,13607,a)]. 13610 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5620(a,1),13609(a,1,1,1))]. 13611 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13594(a,1),13610(a,1,1))]. 13612 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5562(a,1),13611(a,1,1,1))]. 13613 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(220,a,4450,a(flip),b,13612,a(flip)),flip(a)]. 13614 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4595(a,1),13613(a,2,1))]. 13615 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13078(a,1),13614(a,2,2))]. 13616 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13078(a,1),13615(a,1,1,1))]. 13617 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(220,a,13291,a(flip),b,13616,a)]. 13618 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10689(a,1),13617(a,1,1))]. 13619 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1385(a,1),13224(a,2,1))]. 13620 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(220,a,12732,a(flip),b,13619,a)]. 13622 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10457(a,1),13620(a,1,1))]. 13623 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(220,a,10666,a(flip),b,13622,a(flip)),flip(a)]. 13624 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(220,a,13156,a(flip),b,13623,a(flip))]. 13625 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [hyper(220,a,13297,a(flip),b,13624,a)]. 13626 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13624(a,2),11391(a,1,1))]. 13627 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13624(a,2),12280(a,1,1))]. 13628 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13625(a,2),13618(a,1,1))]. 13629 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5356,a,13626,a)]. 13630 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4489(a,1),13629(a,1,1))]. 13631 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5356,a,13627,a)]. 13632 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5357,a,13628,a)]. 13633 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(220,a,13631,a(flip),b,13632,a(flip))]. 13634 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(220,a,13512,a(flip),b,13633,a(flip))]. 13635 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(10493(a,1),13634(a,1,2,1))]. 13636 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(9875(a,1),13630(a,1,2,1))]. 13637 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(220,a,13629,a(flip),b,13636,a(flip))]. 13638 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(220,a,13635,a(flip),b,13637,a(flip))]. 13639 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4828(a,2),13638(a,1,2,1,2))]. 13640 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12489(a,1),13639(a,1,2,1)),flip(a)]. 13641 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(13640(a,1),118(a,1,2))]. 13642 T(x,R(y \ z,y,u)) = T(x,(u * y) \ (u * z)). [para(105(a,1),13640(a,2,2))]. 13643 T(x,L(y / z,z,u)) = T(x,(y * u) / (z * u)). [para(115(a,1),13640(a,1,2)),flip(a)]. 13644 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(13640(a,1),4826(a,2,2)),flip(a)]. 13645 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(4914,a,13644,a),flip(a)]. 13646 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(13644(a,1),4914(a,1))]. 13647 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(115(a,1),13645(a,1,1)),flip(a)]. 13649 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [hyper(6407,a,13641,a)]. 13650 (x * R(y,z,u)) \ (R(y,z,u) * R(x,L(y,z,u),x)) = K(x * L(y,z,u),x). [para(13641(a,1),6696(a,1,1))]. 13651 T(x,L(y \ z,y,u)) = T(x,(u * y) \ (u * z)). [hyper(220,a,13640,a(flip),b,13642,a(flip)),flip(a)]. 13652 T(x,L(y / (z \ u),z \ u,K(u,K(w,v5)))) = T(x,(y * K(u,K(w,v5))) / (z \ T(u,K(w,v5)))). [para(12666(a,1),13643(a,2,2,2))]. 13653 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(220,a,8111,a(flip),b,13647,a(flip)),flip(a)]. 13654 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13374(a,1),13649(a,1,2))]. 13655 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6406,a,13654,a)]. 13656 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(220,a,11480,a,b,13655,a(flip)),flip(a)]. 13657 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7368(a,1),13656(a,1,1,1))]. 13658 (x * R(y,z,u)) \ (R(y,z,u) * R(x,y,x)) = K(x * L(y,z,u),x). [para(13044(a,1),13650(a,1,2,2))]. 13659 (x * R(y,z,u)) \ T(x * R(y,z,u),x) = K(x * L(y,z,u),x). [para(13015(a,1),13658(a,1,2))]. 13661 K(x * R(y,z,u),x) = K(x * L(y,z,u),x). [hyper(4869,a,13659,a)]. 13662 a(x,R(y,z,u),x) = K(x,L(y,w,v5)) * K(x * R(y,w,v5),x). [para(13661(a,2),13047(a,2,2))]. 13663 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(10405,a,13662,a(flip))]. 13665 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(115(a,1),13663(a,1,2)),flip(a)]. 13666 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(219(a,1),13663(a,1,2)),flip(a)]. 13667 K(x,L(y,y \ z,u)) = K(x,(z * u) / ((y \ z) * u)). [para(112(a,1),13663(a,1,2)),flip(a)]. 13668 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(551(a,1),13663(a,1,2)),flip(a)]. 13669 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,y / z)). [para(653(a,1),13663(a,1,2)),flip(a)]. 13670 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13663(a,1),8934(a,1,2))]. 13671 K(x,L(y / T(z / u,w),T(z / u,w),u)) = K(x,(y * u) / (u * T(u \ z,w))). [para(344(a,1),13665(a,2,2,2))]. 13672 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13666(a,1),8573(a,2,2))]. 13673 K(x,(y * z) / ((u \ y) * z)) = L(K(x,u),y,z). [hyper(10574,a,13667,a),flip(a)]. 13674 (x * y) / ((K(z,u) * x) * y) = L(K(u,z),x,y). [hyper(220,a,6866,a(flip),b,13673,a(flip)),flip(a)]. 13675 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(220,a,6864,a(flip),b,13673,a(flip)),flip(a)]. 13676 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(6922,a,13675,a),flip(a)]. 13678 L(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [hyper(220,a,8750,a(flip),b,13675,a(flip))]. 13679 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(220,a,6709,a(flip),b,13675,a(flip))]. 13680 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(13675(a,1),114(a,1,1))]. 13681 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(13675(a,1),139(a,1,1))]. 13682 L(K(x,y),z,T(u,z)) * (u * z) = (K(x,y) * z) * T(u,z). [para(13675(a,1),426(a,1,1))]. 13683 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(13675(a,1),424(a,1,1,1))]. 13685 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13675(a,1),8042(a,2,2))]. 13686 (K(x,T(y,z * u)) * z) * u = (z * u) * L(K(x,y),z,u). [para(13675(a,1),8043(a,2,2))]. 13687 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(5776,a,13676,a),flip(a)]. 13688 K(L(x \ (y / z),x,z) \ 1,u) = K(T(y / (x * z),x) \ 1,u). [para(551(a,1),13687(a,1,1,1)),flip(a)]. 13689 ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). [para(13687(a,1),6178(a,1,1,2))]. 13690 L(K(x,y),z,u) * ((K(y,x) * z) * u) = z * u. [para(13674(a,1),19(a,1,1))]. 13691 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(220,a,7374,a(flip),b,13679,a(flip)),flip(a)]. 13692 L(K(x,y),z,T(u,K(x,y) * z)) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [hyper(71,a,118,a(flip),b,13680,a)]. 13693 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(10207(a,1),13680(a,1,1))]. 13695 T(x,L(((K(y,z) * u) * w) \ v5,(K(y,z) * u) * w,L(K(z,y),u,w))) = T(x,(u * w) \ (L(K(z,y),u,w) * v5)). [para(13690(a,1),13651(a,2,2,1))]. 13696 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(410(a,1),13668(a,1,2)),flip(a)]. 13697 L(K(x,y),z,u) * (u * z) = (K(x,y) * z) * T(u,z). [para(11448(a,1),13682(a,1,1))]. 13698 (K(x,y) * z) * T(u,z) != w * (u * z) | L(K(x,y),z,u) = w. [para(13697(a,1),23(a,1))]. 13699 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(220,a,13479,a,b,13685,a(flip)),flip(a)]. 13700 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(160,a,13686,a,b,11446,a(flip))]. 13702 K((T(x,y) * K(z,u)) \ 1,w) != v5 | K((K(z,T(u,x * y)) * x) \ 1,T(w,y)) = v5. [para(13700(a,1),7501(a,1,1,1))]. 13703 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(4875(a,1),13693(a,2,1))]. 13704 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13437(a,1),13672(a,1,2))]. 13705 K(L(x \ (y / z),x,z) \ 1,u) = K((y / (x * z)) \ 1,T(u,x)). [hyper(220,a,7356,a(flip),b,13688,a)]. 13706 K(x,L(y \ (z / u),y,u) \ 1) = (w * K((z / (y * u)) \ 1,T(x,y))) \ w. [para(13705(a,1),6169(a,1,1,2)),flip(a)]. 13707 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(10626,a,13699,a)]. 13708 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(16(a,1),13707(a,1,1)),flip(a)]. 13710 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8066(a,1),13708(a,1,3))]. 13711 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(6307,a,13689,a),flip(a)]. 13712 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(653(a,1),13711(a,1,2,1)),flip(a)]. 13713 K(x,L(y \ (z / u),y,u) \ 1) = K(x,T((z / (y * u)) \ 1,y)). [hyper(220,a,7423,a(flip),b,13706,a)]. 13714 K(x,L(y \ (z / u),y,u) \ 1) = K(x,T((y * u) / z,y)). [hyper(220,a,11669,a(flip),b,13713,a)]. 13715 L(K(x,(y / z) \ u),u,z) = K(x,T((u * z) / y,u)). [hyper(220,a,6136,a(flip),b,13714,a(flip)),flip(a)]. 13716 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(220,a,7357,a(flip),b,13712,a)]. 13717 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(220,a,11669,a(flip),b,13716,a)]. 13718 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6420,a,13717,a),flip(a)]. 13719 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(220,a,12824,a(flip),b,13718,a)]. 13720 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5915(a,1),13718(a,2,2,1))]. 13721 K(x,L((y \ z) / T(u / K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(12666(a,1),13671(a,2,2,1))]. 13722 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(11509(a,1),13692(a,1,1))]. 13723 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5945,a,13722,a)]. 13725 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(220,a,11206,a,b,13723,a(flip)),flip(a)]. 13726 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(17(a,1),13719(a,1,2,1,2))]. 13727 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12431(a,1),13725(a,1,1))]. 13728 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7959(a,1),13727(a,1,1,2))]. 13729 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13547,a,13728,a)]. 13730 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8016(a,2),13729(a,1,2,2))]. 13731 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(10249(a,2),13730(a,1,2))]. 13732 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8212(a,2),13731(a,1,2,2,2))]. 13733 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13710(a,1),13657(a,1,2))]. 13734 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(220,a,13445,a(flip),b,13733,a(flip))]. 13735 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7368(a,1),13734(a,1,1))]. 13736 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10542(a,1),13735(a,1,2))]. 13737 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(388,a,13736,a),flip(a)]. 13741 L(x,y,K(z,x \ 1)) = x. [hyper(220,a,7159,a(flip),b,13737,a(flip))]. 13742 L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). [hyper(220,a,551,a(flip),b,13737,a(flip))]. 13743 L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). [hyper(220,a,115,a(flip),b,13737,a(flip))]. 13744 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(13737(a,1),114(a,1,1))]. 13750 L(x / T(y,K(z,u)),T(y,K(z,u)),K(z,u)) = (x * K(z,u)) / (y * ((y * K(z,u)) / y)). [para(3923(a,1),13743(a,2,2))]. 13751 L(x / (y * K(z,u)),y * K(z,u),K(u,z)) = (x * K(u,z)) / y. [para(6172(a,1),13743(a,2,2))]. 13752 ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = L(x,y,K(z,T(u,y))). [hyper(72,a,13744,a(flip),b,7399,a(flip))]. 13753 L(x,y * K(z,u),K(u,z)) * y = (x * (y * K(z,u))) * K(u,z). [para(6172(a,1),13744(a,1,2))]. 13754 T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). [hyper(220,a,8189,a(flip),b,13742,a(flip))]. 13759 (x * K(y,z)) / (u * ((u * K(y,z)) / u)) = L(x / T(u,K(y,z)),u,K(y,z)). [hyper(220,a,11438,a(flip),b,13750,a(flip))]. 13760 L(x / T(y,K(z,u)),y,K(z,u)) = (x * K(z,u)) / (K(z,u) * y). [para(8029(a,1),13759(a,1,2)),flip(a)]. 13761 L(L(K(x,y / T(z,K(u,w))),y / T(z,K(u,w)),z),z * (y / T(z,K(u,w))),K(u,w)) = L(K(x,(y * K(u,w)) / (K(u,w) * z)),L(y / T(z,K(u,w)),z,K(u,w)),K(u,w) * z). [para(13760(a,1),9617(a,2,1,2))]. 13762 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7217(a,2),13732(a,1,2,2))]. 13763 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(19(a,1),13720(a,1,2,1,2))]. 13764 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5843(a,2),13762(a,1,2))]. 13765 (x * K(K(y,z),x)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(4824(a,1),13764(a,1,2,1,2))]. 13766 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7959(a,1),13764(a,1,2,1,2))]. 13767 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(8157(a,1),13764(a,1,2,1,2))]. 13768 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8491(a,1),13764(a,1,2,1,2))]. 13769 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7959(a,1),13766(a,1,2))]. 13770 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(220,a,13764,a(flip),b,13769,a(flip))]. 13771 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(y,z)). [hyper(12163,a,13770,a)]. 13772 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(71,a,13770,a,b,4801,a(flip))]. 13773 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(118(a,1),13770(a,1,2)),flip(a)]. 13774 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4875(a,1),13770(a,1,2)),flip(a)]. 13775 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5114(a,1),13770(a,1,2)),flip(a)]. 13776 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4869,a,13772,a)]. 13777 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(13772(a,1),4869(a,1))]. 13778 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5114(a,1),13776(a,1,2)),flip(a)]. 13779 K(x,K(y,z) \ T(K(y,z) * u,w)) = K(x,K(y,z) * T(K(z,y) \ u,w)). [para(6069(a,2),13776(a,1,2))]. 13780 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7476(a,1),13776(a,1,2)),flip(a)]. 13781 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5403(a,1),13774(a,1,2))]. 13782 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5063(a,2),13778(a,1,2))]. 13784 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(155(a,1),13781(a,1,2,1)),flip(a)]. 13785 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12814,a,13784,a),flip(a)]. 13786 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4586(a,1),13782(a,1,2,1))]. 13787 T(x,K(y,z) * K(y,z)) = x. [hyper(220,a,7969,a(flip),b,13771,a(flip))]. 13788 T(x,K(y,z) * K(y,z)) = (x * K(u,w)) * K(w,u). [hyper(220,a,6172,a,b,13787,a)]. 13789 T(x,K(y,z) * (u * K(K(z,y),u))) = T(x,u * K(z,y)). [para(7926(a,2),13773(a,1,2,2))]. 13790 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7971(a,1),13773(a,1,2))]. 13791 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(13790(a,1),4826(a,2,2)),flip(a)]. 13792 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(13791(a,1),4914(a,1))]. 13793 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12805,a,13785,a),flip(a)]. 13795 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(154(a,1),13793(a,1,2,2,1)),flip(a)]. 13796 T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). [hyper(220,a,4801,a(flip),b,13795,a)]. 13797 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13795(a,1),4826(a,2,2))]. 13798 T(x,K(y,z) * K(y,z)) != u | u = x. [para(13788(a,2),5660(a,1))]. 13801 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(13771(a,2),13798(a,1))]. 13811 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [hyper(4866,a,13796,a)]. 13812 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(17(a,1),13811(a,1,2,2,1)),flip(a)]. 13813 K(x,y * T(z \ u,u)) = K(x,y * (u / z)). [hyper(220,a,12810,a,b,13812,a(flip)),flip(a)]. 13814 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(220,a,4826,a,b,13797,a)]. 13815 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1211(a,1),13814(a,2,1))]. 13816 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(220,a,13229,a(flip),b,13786,a(flip))]. 13818 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(8157(a,1),13767(a,1,2))]. 13819 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(220,a,13769,a(flip),b,13818,a(flip))]. 13820 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(6442(a,1),13819(a,1,2,1))]. 13821 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(220,a,13770,a,b,13820,a(flip)),flip(a)]. 13822 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(17(a,1),13820(a,1,2,1,1)),flip(a)]. 13823 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12813,a,13821,a),flip(a)]. 13824 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(71,a,13822,a(flip),b,4801,a(flip)),flip(a)]. 13826 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(13824(a,2),4869(a,1))]. 13828 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12812,a,13823,a),flip(a)]. 13829 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8491(a,1),13768(a,1,2))]. 13830 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(220,a,13764,a(flip),b,13829,a(flip))]. 13831 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(63(a,1),13830(a,1,2,1,1)),flip(a)]. 13832 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(71,a,13831,a(flip),b,4801,a(flip)),flip(a)]. 13833 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7971(a,1),13831(a,1,2)),flip(a)]. 13834 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(220,a,4777,a,b,13832,a)]. 13835 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(13777,a,13834,a)]. 13836 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5039(a,1),13834(a,1,2)),flip(a)]. 13837 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13834(a,1),6617(a,1,1))]. 13838 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6107(a,1),13835(a,1,2,1)),flip(a)]. 13839 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8492(a,1),13835(a,1,2)),flip(a)]. 13840 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(13835(a,1),6618(a,1,1))]. 13841 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(13826,a,13838,a),flip(a)]. 13842 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(220,a,13778,a(flip),b,13841,a(flip)),flip(a)]. 13843 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7476(a,1),13841(a,1,2))]. 13844 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5114(a,1),13842(a,2,2))]. 13845 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4895(a,1),13836(a,1,2,2)),flip(a)]. 13846 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7971(a,1),13839(a,1,2)),flip(a)]. 13847 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(13846(a,1),5161(a,1,2)),flip(a)]. 13849 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(220,a,5161,a(flip),b,13847,a)]. 13850 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(13792,a,13849,a)]. 13851 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(220,a,12482,a,b,13849,a(flip)),flip(a)]. 13852 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(220,a,12486,a(flip),b,13850,a(flip))]. 13853 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8485(a,1),13833(a,1,2,2))]. 13854 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(118(a,1),13853(a,1,2)),flip(a)]. 13855 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(220,a,13852,a(flip),b,13851,a)]. 13856 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12508,a,13855,a)]. 13857 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(220,a,13780,a(flip),b,13843,a)]. 13858 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10359(a,1),13857(a,1,2))]. 13859 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(220,a,13763,a(flip),b,13858,a(flip)),flip(a)]. 13860 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(5948(a,1),13858(a,1,2,2,2)),flip(a)]. 13861 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(220,a,12505,a(flip),b,13856,a),flip(a)]. 13862 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4563(a,1),13861(a,1,1))]. 13863 K(((x * y) / x) / z,u) != w | K(T(y,x) / z,u) = w. [para(13862(a,1),8302(a,1))]. 13864 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(13863,a,8936,a(flip)),flip(a)]. 13865 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12923,a,13864,a),flip(a)]. 13866 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12928,a,13865,a),flip(a)]. 13867 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4928(a,1),13866(a,1,1,2)),flip(a)]. 13868 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13867(a,1),5161(a,1,2)),flip(a)]. 13869 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(220,a,5161,a(flip),b,13868,a)]. 13870 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4112(a,1),13869(a,1,2,2,1))]. 13871 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4824(a,1),13869(a,1,2,2,1)),flip(a)]. 13872 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(220,a,6583,a,b,13871,a(flip)),flip(a)]. 13873 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3038(a,1),13872(a,1,2,2))]. 13874 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(220,a,12838,a(flip),b,13870,a(flip)),flip(a)]. 13875 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4078(a,1),13874(a,1,2,2)),flip(a)]. 13876 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(3923(a,2),13875(a,1,2,2)),flip(a)]. 13877 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(220,a,12838,a(flip),b,13876,a(flip))]. 13878 K(x,K(y,z) * T(K(z,y) \ u,w)) = K(x,K(z,y) * T(K(y,z) * u,w)). [para(5242(a,1),13779(a,1,2)),flip(a)]. 13879 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(6784,a,13837,a),flip(a)]. 13880 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5950(a,1),13879(a,1,2,1))]. 13881 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(6784,a,13840,a),flip(a)]. 13882 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6554(a,1),13881(a,1,2,1))]. 13883 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7887(a,1),13882(a,2,2))]. 13884 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(7926(a,1),13765(a,1,1))]. 13885 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(220,a,13789,a(flip),b,13884,a)]. 13886 T(x,K(y,z)) \ T(u * x,K(y,z)) = u * K(u,x * K(y,z)). [hyper(220,a,4801,a(flip),b,13885,a)]. 13887 T(x,K(L(y,z,u) \ 1,w)) \ T(v5 * x,K((u * (z * y)) \ (u * z),w)) = T(v5,x * K((u * (z * y)) \ (u * z),w)). [para(6273(a,1),13885(a,1,1,2))]. 13888 T(x,K(y,z \ (u * w))) \ T(v5 * x,K(y,z \ (T(w,u) * u))) = T(v5,x * K(y,z \ (T(w,u) * u))). [para(13877(a,1),13885(a,1,1,2))]. 13889 T(x,K(y,z)) \ T(u * x,K(y,z)) != w | T(u,x * K(y,z)) = w. [para(13886(a,2),4804(a,1))]. 13890 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1566(a,1),13815(a,1,1))]. 13891 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4790(a,1),13890(a,1,1,2)),flip(a)]. 13892 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4794(a,1),13891(a,1,1,2))]. 13893 ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). [para(13892(a,1),6178(a,1,1,2))]. 13894 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(6307,a,13893,a),flip(a)]. 13895 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(220,a,13880,a(flip),b,13859,a(flip)),flip(a)]. 13896 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(220,a,13228,a(flip),b,13895,a(flip)),flip(a)]. 13897 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4801(a,2),13896(a,1,2,1))]. 13898 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(4072(a,1),13897(a,1,2,1))]. 13899 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(118(a,1),13898(a,1,2,2,1))]. 13900 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(118(a,1),13899(a,1,2,2,2,2))]. 13901 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8238(a,1),13900(a,2,2))]. 13902 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(220,a,13875,a(flip),b,13901,a(flip)),flip(a)]. 13904 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6025(a,1),13902(a,1,2,2,2))]. 13905 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8073(a,1),13845(a,2,2,1))]. 13906 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8034(a,1),13905(a,2,2))]. 13907 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4895(a,1),13906(a,1,2,2,1,2))]. 13908 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5036(a,1),13907(a,1,2))]. 13909 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(12191(a,1),13860(a,2,2))]. 13910 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8249(a,1),13909(a,1,2))]. 13911 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(8811(a,1),13910(a,1,2)),flip(a)]. 13912 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(220,a,8513,a(flip),b,13911,a)]. 13914 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(220,a,13726,a(flip),b,13912,a(flip)),flip(a)]. 13915 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(4079(a,1),13914(a,1,2,2,1))]. 13916 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7740(a,1),13883(a,1,2,2,2))]. 13918 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7875(a,2),13916(a,1,2,2))]. 13919 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8470(a,1),13918(a,1,2)),flip(a)]. 13920 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(220,a,6131,a(flip),b,13919,a)]. 13921 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(220,a,13229,a(flip),b,13920,a(flip)),flip(a)]. 13922 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6422,a,13921,a),flip(a)]. 13926 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(220,a,13894,a,b,13922,a(flip)),flip(a)]. 13927 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(220,a,13873,a(flip),b,13926,a(flip))]. 13928 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(220,a,13872,a(flip),b,13927,a(flip))]. 13929 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(63(a,1),13928(a,1,2,2,2)),flip(a)]. 13930 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8885(a,1),13929(a,1,2,2))]. 13931 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(9188(a,1),13915(a,1,2,1))]. 13932 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4079(a,1),13931(a,1,2,2,2,2))]. 13934 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(220,a,13844,a(flip),b,13932,a(flip)),flip(a)]. 13935 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12782(a,1),13934(a,2,2))]. 13936 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(220,a,13875,a(flip),b,13935,a(flip)),flip(a)]. 13937 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(220,a,12811,a(flip),b,13904,a(flip)),flip(a)]. 13938 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13854(a,1),13937(a,1,2,2))]. 13939 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(7333(a,1),13938(a,1,2,2,2,2))]. 13940 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13828(a,1),13939(a,1,2,2))]. 13941 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4801(a,2),13940(a,1,2,2,2))]. 13942 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12821,a,13941,a)]. 13943 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(220,a,13816,a(flip),b,13942,a(flip))]. 13944 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8883(a,1),13943(a,1,2))]. 13945 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8886,a,13944,a),flip(a)]. 13946 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5038(a,1),13945(a,1,2,1)),flip(a)]. 13947 T(x,K(L(y,z,u),w)) \ T(v5 * x,K((u * (z * y)) \ (u * z),w)) = T(v5,x * K((u * (z * y)) \ (u * z),w)). [para(8487(a,1),13887(a,1,1))]. 13948 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(8247(a,1),13946(a,2,2,2))]. 13949 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8889(a,1),13948(a,2,2,2))]. 13950 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(220,a,13930,a(flip),b,13949,a)]. 13951 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(220,a,13882,a(flip),b,13950,a)]. 13952 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(220,a,13228,a(flip),b,13951,a)]. 13953 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4801(a,2),13952(a,2,2,1))]. 13954 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(220,a,13936,a(flip),b,13953,a)]. 13955 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(17(a,1),13954(a,1,2,1,2))]. 13956 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7213(a,1),13955(a,1,2))]. 13957 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(11474(a,1),13956(a,1,2)),flip(a)]. 13958 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(18(a,1),13957(a,1,2,1)),flip(a)]. 13959 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(66(a,1),13957(a,1,2,2)),flip(a)]. 13960 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(18(a,1),13958(a,1,2,1)),flip(a)]. 13961 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8886,a,13960,a),flip(a)]. 13963 K(x,T(y,z * z)) = K(x,y). [para(144(a,1),13960(a,1,2)),flip(a)]. 13965 L(K(x,y),z,z) = K(x,T(y,u * u)). [hyper(220,a,13268,a,b,13963,a),flip(a)]. 13966 K(x,T(y,z * z)) != u | K(x,y) = u. [para(13963(a,1),10045(a,1))]. 13967 L(K(x,y),z,z) != u | K(x,y) = u. [para(13965(a,2),13966(a,1))]. 13968 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12851(a,1),13959(a,1,2))]. 13969 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(220,a,13961,a(flip),b,13968,a(flip)),flip(a)]. 13970 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13969(a,1),11408(a,1,1))]. 13971 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(220,a,9906,a(flip),b,13970,a(flip)),flip(a)]. 13972 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(8020,a,13971,a)]. 13973 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(8001,a,13971,a)]. 13976 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(220,a,7873,a,b,13971,a)]. 13978 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13971(a,2),7897(a,1))]. 13979 K(x * y,K(z,u)) = K(z,K(u,y * x)). [para(12066(a,1),13971(a,1,2)),flip(a)]. 13983 K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). [hyper(220,a,13971,a(flip),b,13972,a(flip))]. 13985 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(7417(a,1),13972(a,1,2))]. 13986 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(7418(a,1),13972(a,1,2)),flip(a)]. 13990 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(220,a,8142,a(flip),b,13973,a(flip)),flip(a)]. 13995 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8131(a,1),13973(a,1,2))]. 13996 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12066(a,1),13973(a,1,2))]. 13999 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7361(a,1),13976(a,1,2))]. 14000 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12073(a,2),13976(a,1,2))]. 14003 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13985(a,1),7368(a,1,2)),flip(a)]. 14004 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(13985(a,1),8237(a,1,1))]. 14007 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(13985(a,1),13700(a,1,1,1))]. 14032 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13979(a,1),7860(a,1))]. 14033 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13979(a,1),7897(a,1))]. 14034 T(x,K(y,T(z,u))) = x * K(z,K(y,T(x,w))). [para(13983(a,1),7883(a,1,2)),flip(a)]. 14035 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8533,a,13986,a)]. 14036 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(220,a,8600,a,b,13986,a),flip(a)]. 14037 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(220,a,8586,a,b,13986,a),flip(a)]. 14038 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(220,a,11841,a,b,13986,a(flip)),flip(a)]. 14041 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13323(a,2),13986(a,2,2)),flip(a)]. 14042 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(114(a,1),13996(a,1,2,2)),flip(a)]. 14045 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(13999(a,1),7941(a,1))]. 14046 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13999(a,2),7941(a,1))]. 14047 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(220,a,10887,a(flip),b,14000,a(flip)),flip(a)]. 14048 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7939,a,14003,a)]. 14049 (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. [hyper(7938,a,14003,a)]. 14050 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7936,a,14003,a)]. 14051 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(220,a,7942,a(flip),b,14003,a)]. 14052 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(220,a,7848,a(flip),b,14003,a)]. 14053 T(x,K(y,K(z,u))) = x. [hyper(162,a,14003,a)]. 14055 T(x,T(y,K(z,u))) = T(x,y). [hyper(20,a,8801,a(flip),b,14003,a)]. 14056 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(14003(a,1),4818(a,1,2))]. 14057 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7873(a,1),14003(a,1,1))]. 14058 K(x,L(y / T(z / K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) = K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))). [para(14003(a,1),13671(a,2,2,2))]. 14059 K(x,K(y,K(z,u))) = 1. [hyper(39,a,14053,a)]. 14060 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(220,a,11476,a(flip),b,14053,a(flip)),flip(a)]. 14061 x * T(y,T(x,K(z,u))) = y * x. [hyper(220,a,6431,a(flip),b,14053,a(flip)),flip(a)]. 14063 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(14053(a,1),12805(a,1,1))]. 14064 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [para(14053(a,1),13754(a,2,2))]. 14065 T(x,K(y,K(z,u))) != w | w = x. [para(14053(a,1),13801(a,1,1))]. 14068 L(x,y * z,K(z,y)) = ((x * (K(u,K(w,v5)) * v6)) * 1) / (v6 * K(u,K(w,v5))). [para(14059(a,1),11575(a,2,1,2))]. 14072 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(14055(a,1),7608(a,2,2))]. 14073 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(14055(a,1),8076(a,1,1)),flip(a)]. 14074 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(8145(a,1),14055(a,1,2))]. 14076 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(11476(a,1),14055(a,1,2))]. 14078 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(6359(a,1),14065(a,1)),flip(b)]. 14079 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(7053(a,1),14065(a,1)),flip(b)]. 14080 (x / T(y,K(z,u))) * y = y * (T(y,K(z,u)) \ x). [para(120(a,1),14061(a,1,2)),flip(a)]. 14081 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(6359(a,1),14079(a,1,2))]. 14082 T(x,K(y,z) * (u / z)) != w | T(x,u / T(z,y)) = w. [para(8145(a,1),14079(a,1,2))]. 14084 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(31(a,2),14035(a,2,2,2))]. 14085 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(14035(a,1),8533(a,1))]. 14086 K(x,K(y,z)) * (u \ K(x,K(y,z))) = u \ 1. [hyper(21,a,13341,a,b,14049,a)]. 14088 (x * y) \ (K(z,K(u,w)) * ((x * (y * v5)) * K(z,K(u,w)))) = L(v5,y,x). [hyper(71,a,14050,a,b,103,a)]. 14090 T(x,K(y,z)) * u != x * w | w * K(x,K(y,z)) = u. [para(14050(a,1),5069(a,2,2)),flip(b)]. 14091 K(x,K(y,z)) * (u * y) != w | u * T(y,K(x,z)) = w. [para(14057(a,2),6142(a,1))]. 14092 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(220,a,13790,a,b,14060,a)]. 14093 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(z,u)). [hyper(220,a,13769,a,b,14060,a(flip)),flip(a)]. 14094 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(220,a,13764,a,b,14060,a(flip)),flip(a)]. 14097 T(x,T(y,z * (u / z))) = T(x,T(y,u)). [para(19(a,1),14076(a,1,2,2)),flip(a)]. 14098 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(14076(a,1),8178(a,1,2))]. 14101 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7360(a,1),13978(a,1,2))]. 14102 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(12472(a,1),13978(a,1,2))]. 14104 K(x,K(y,z)) * (u * y) = u * T(y,K(z,T(x,w))). [para(13971(a,1),14004(a,1,1))]. 14105 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(w,K((y * u) \ z,T(x,v5))). [para(13653(a,1),14034(a,1,2))]. 14108 K(T(x,K(y,z)),u) = K(x,u). [hyper(21,a,8239,a,b,14072,a),flip(a)]. 14109 K(x,T(y,K(z,u))) = K(x,y). [hyper(21,a,8237,a,b,14072,a),flip(a)]. 14112 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(10044,a,14108,a)]. 14113 K(K(x,y) / z,u) = K(z \ K(x,y),u). [hyper(7455,a,14108,a),flip(a)]. 14115 K(K(x,y) * z,u) = K(z * K(x,y),u). [para(6187(a,1),14108(a,1,1))]. 14118 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(14108(a,1),10035(a,1))]. 14119 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(14108(a,1),10039(a,1))]. 14120 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12085,a,14109,a),flip(a)]. 14123 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(220,a,8111,a,b,14109,a(flip)),flip(a)]. 14124 K(x,(y \ 1) \ K(z,u)) = K(x,K(z,u) * y). [hyper(220,a,13348,a(flip),b,14109,a(flip)),flip(a)]. 14125 K(x,T(K(y,z) / u,w)) = K(x,T(u \ K(y,z),w)). [hyper(220,a,7589,a(flip),b,14109,a(flip))]. 14130 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(14109(a,1),7655(a,1,1))]. 14135 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(14109(a,1),10035(a,1))]. 14136 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(11476(a,1),14109(a,1,2))]. 14137 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(12058(a,1),14109(a,1,2)),flip(a)]. 14138 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(14109(a,1),12082(a,1))]. 14139 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(14109(a,1),12085(a,1))]. 14141 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(14109(a,1),12483(a,1))]. 14142 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(7053(a,1),14118(a,1,2))]. 14144 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(11476(a,1),14118(a,1,2))]. 14145 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(220,a,13696,a,b,14112,a),flip(a)]. 14146 K((x * K(y,z)) \ 1,u) = K(x \ K(z,y),u). [hyper(6180,a,14113,a)]. 14148 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(13792,a,14115,a(flip)),flip(a)]. 14149 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(13777,a,14120,a)]. 14151 K(x,y * K(z,u \ z)) = K(x,K(u,z) * y). [hyper(220,a,13841,a(flip),b,14120,a(flip))]. 14152 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [hyper(220,a,13778,a(flip),b,14120,a(flip))]. 14157 L(K(x,T(T(y,z),u * z)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(14136(a,1),13678(a,1,1))]. 14158 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(220,a,13691,a,b,14137,a),flip(a)]. 14159 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). [hyper(220,a,13669,a,b,14137,a(flip)),flip(a)]. 14160 K((x \ y) * K(x,z),u) = K(T(x,z) \ y,u). [para(5114(a,1),14148(a,1,1)),flip(a)]. 14166 K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. [para(13961(a,2),14142(a,1))]. 14168 (K(x,K(y,z)) * T(u \ K(x,K(y,z)),w)) \ (u \ 1) = K(w,u \ K(x,K(y,z))). [hyper(71,a,14086,a(flip),b,5686,a)]. 14169 K(x,K(y,z)) * T(u \ K(x,K(y,z)),w) = (u \ 1) * K(u \ K(x,K(y,z)),w). [para(14086(a,1),6140(a,1,1)),flip(a)]. 14175 K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K(T(z,u) \ K(y,x),w). [hyper(13702,a,14146,a)]. 14177 K(x,T(K(y,z) \ (K(y,z) / u),w) * K(z,y \ z)) = K(x,(K(y,z) / u) * K(u \ 1,w)). [para(5037(a,2),14151(a,2,2))]. 14178 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [hyper(220,a,14115,a,b,14160,a(flip)),flip(a)]. 14179 K(T(x \ y,x) \ z,u) = K((y / x) \ z,u). [para(5374(a,1),14178(a,1,1)),flip(a)]. 14180 K(T(x \ y,y) \ z,u) = K((y / x) \ z,u). [hyper(220,a,12820,a,b,14179,a(flip)),flip(a)]. 14181 K((x / (x / y)) \ z,u) = K(T(y,x) \ z,u). [para(66(a,1),14180(a,1,1,1,1)),flip(a)]. 14182 K(x,T((y / (y / z)) \ u,w)) = T(x,w) / T(x * K(T(z,y) \ u,x),w). [para(14181(a,1),7425(a,1,2,1,2)),flip(a)]. 14184 K(x,K(y,L(z / u,u,w))) != v5 | K(x,K(y,(u * w) \ (z * w))) = v5. [para(13665(a,2),14045(a,1,2))]. 14189 T(x,y * K(z,u)) != w | T(x,K(u,z) * y) = w. [para(13790(a,1),14081(a,1))]. 14190 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(14092(a,2),14081(a,1))]. 14191 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13323(a,2),14085(a,1,2))]. 14194 K(x,y * K(z \ 1,u)) != w | K(x,K(z,u) * y) = w. [para(13908(a,2),14138(a,1))]. 14195 K((x \ 1) \ K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(13386(a,2),14141(a,1))]. 14196 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13401(a,2),14144(a,1,2))]. 14200 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(220,a,14003,a,b,14007,a)]. 14201 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(14003(a,1),14007(a,1,1))]. 14202 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(220,a,7365,a,b,14052,a)]. 14203 (x * y) / T(y,K(z,u)) = y * (T(y,K(z,u)) \ x). [hyper(220,a,1104,a,b,14080,a(flip)),flip(a)]. 14205 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(14003(a,1),14200(a,1,1))]. 14206 K(x,K(y,z)) * T(u \ K(x,K(y,z)),w) = T(u \ 1,w). [para(14086(a,1),14200(a,1,1)),flip(a)]. 14208 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(14201(a,1),5714(a,1,1,2))]. 14209 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(14202(a,2),22(a,1))]. 14210 T(x,K(y,z) * (u / y)) != w | T(x,u / T(y,z)) = w. [para(13770(a,1),14082(a,1))]. 14211 x * T(y,K(z,T(u,w))) = x * T(y,K(u,z)). [hyper(14091,a,14104,a),flip(a)]. 14212 T(x,K(T(y,z),u)) = T(x,K(y,u)). [hyper(8143,a,14211,a)]. 14213 T(x,K(y,T(z,u))) = T(x,K(y,z)). [hyper(160,a,7971,a(flip),b,14211,a),flip(a)]. 14215 T(T(x,K(y,z)),T(y,u) / z) = T(x,z \ T(y,u)). [para(14212(a,1),12055(a,1,1))]. 14216 T(x,K(y,R(z \ u,z,w))) = T(x,K(y,(u * w) / (z * w))). [para(550(a,1),14213(a,1,2,2))]. 14219 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(14060(a,2),14130(a,2,2,1))]. 14220 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(13996(a,1),14191(a,1))]. 14221 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [hyper(220,a,35,a,b,14064,a)]. 14222 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(14093(a,1),17(a,1,2)),flip(a)]. 14223 x \ T(K(x,K(y,z)) * (u * x),K(y,z)) = T(u,x * K(y,z)). [para(14004(a,2),14093(a,1,2,1))]. 14224 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(19(a,1),14094(a,1,2,1)),flip(a)]. 14225 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(220,a,5324,a(flip),b,14145,a)]. 14227 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(220,a,8199,a(flip),b,14225,a(flip)),flip(a)]. 14228 K(x,K(y,z)) * T(u \ K(x,K(y,z)),w) != (u \ 1) * v5 | K(u \ 1,w) = v5. [para(14206(a,2),4866(a,1))]. 14229 T(T(x,K(y * T(z,K(u,w)),v5)),(z * T(y,z * K(u,w))) / v5) = T(x,v5 \ T(y * T(z,K(u,w)),K(u,w))). [para(14222(a,1),14215(a,1,2,1))]. 14230 T(x / T(y,K(z,u)),y / K(z,u)) = y \ T(x,K(z,u)). [para(6173(a,2),14224(a,1,2))]. 14231 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7942(a,2),14224(a,1,1))]. 14232 T(x * (T(x,K(y,z)) \ u),x / K(y,z)) = x \ T(u * x,K(y,z)). [para(14203(a,1),14230(a,1,1))]. 14233 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(220,a,13986,a,b,13995,a)]. 14234 T(x,K(y,L(z \ u,z,w))) = T(x,K(y,(u * w) / (z * w))). [para(13663(a,1),14216(a,1,2))]. 14235 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(18(a,1),14233(a,1,2,2,1)),flip(a)]. 14236 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8132(a,2),14233(a,1,2))]. 14237 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6086(a,1),13990(a,2,2))]. 14238 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(220,a,8343,a(flip),b,14237,a)]. 14240 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [hyper(220,a,8566,a(flip),b,14238,a)]. 14241 x \ T((K(x,K(y,z)) * u) * x,K(y,z)) = T(u,x * K(y,z)). [para(8981(a,2),14223(a,1,2,1))]. 14242 T(x * K(y,K(z,u)),y * K(u,z)) = y \ T(x * y,K(z,u)). [para(18(a,1),14231(a,1,1,1))]. 14243 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(4935(a,2),14231(a,1,1,1))]. 14244 T(K(x,K(y,z)) * u,x * K(y,z)) = x \ T(u * x,K(y,z)). [para(7934(a,1),14241(a,1,2,1,1)),flip(a)]. 14245 T(x * K(y,K(z,u)),K(z,u) * y) = y \ T(x * y,K(z,u)). [hyper(14189,a,14242,a)]. 14246 T(x,(y * K(z,u)) / (y \ T(w * y,K(u,z)))) = T(x,(w * K(y,K(u,z))) \ (y * K(z,u))). [para(14242(a,1),12783(a,1,2,2))]. 14247 T(K(x,K(y,z)) * u,z * K(x,y)) = z \ T(u * z,K(x,y)). [para(7875(a,2),14244(a,1,1,1))]. 14248 T(x,K(K(y,z) * u,w * K(u,K(y,z))) * (v5 / (w * K(u,K(y,z))))) = T(x,v5 / (u \ T(w * u,K(y,z)))). [para(14245(a,1),14074(a,2,2,2))]. 14249 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(220,a,8496,a(flip),b,14037,a)]. 14250 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(14046,a,14249,a)]. 14251 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(35(a,2),14250(a,1,2,1,1))]. 14252 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(6173(a,1),14123(a,1,1,1))]. 14253 L(K(x,T(T(y,z),u * z)),z,u) = K(((z / x) * u) \ (z * u),y). [hyper(220,a,6665,a,b,14157,a)]. 14254 K(x,L((y / z) \ K(u,T(T(w,z),v5)),y / z,z)) = K(x,T((z * K(u,T(w,v5))) / y,z \ y)). [para(8091(a,1),14159(a,2,2,1,1))]. 14255 K(((x / y) * z) \ (x * z),u) = K(y,(z * x) / (z * (u \ x))). [hyper(10704,a,14253,a),flip(a)]. 14256 K(x,(y * z) / (y * (u \ z))) = K(x,((z / u) * y) \ (z * y)). [hyper(220,a,8925,a(flip),b,14255,a(flip))]. 14257 K((x * y) / (x * (z \ y)),u) = K(z,((y / u) * x) \ (y * x)). [hyper(10707,a,14256,a)]. 14258 K(x \ K(T(y,x * z),u),T(w,z)) = K(T(x,z) \ K(y,u),w). [hyper(6476,a,14175,a)]. 14259 K(x \ K(y,T(z,x * u)),T(w,u)) = K(T(x,u) \ K(y,z),w). [para(7412(a,1),14258(a,1,1,2))]. 14260 T(K(x,K(y,z)) * u,x / K(y,z)) = x \ T(u * x,K(y,z)). [para(7930(a,1),14232(a,1,1))]. 14261 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,(y * u) \ z)). [para(7903(a,1),14105(a,2,2))]. 14262 K(x,T((y / (y / z)) \ u,w)) != v5 | K(x,T(T(z,y) \ u,w)) = v5. [para(14182(a,2),7510(a,1))]. 14263 L(x,y * z,K(z,y)) = (x * (K(u,K(w,v5)) * v6)) / (v6 * K(u,K(w,v5))). [para(15(a,1),14068(a,2,1))]. 14264 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(9145,a,14263,a)]. 14267 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7384(a,1),14236(a,1,2))]. 14268 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(220,a,14240,a(flip),b,14267,a(flip))]. 14270 K(x,y \ K(z,K(u,w))) = T(y \ 1,x) \ (y \ 1). [para(14206(a,1),14168(a,1,1)),flip(a)]. 14271 K(x,y \ K(z,K(u,w))) != v5 | K(x,y \ 1) = v5. [para(14270(a,2),4909(a,1))]. 14273 K(x,K(y,K(z,u)) * w) = K(x,(w \ 1) \ 1). [hyper(14271,a,14124,a),flip(a)]. 14274 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(220,a,3806,a(flip),b,14273,a)]. 14275 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(14139,a,14274,a)]. 14277 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(5545(a,1),14274(a,1,2))]. 14278 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(5542(a,1),14274(a,1,2))]. 14279 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5543(a,1),14274(a,1,2))]. 14281 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(14051(a,1),14274(a,1,2))]. 14283 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). [hyper(220,a,13813,a(flip),b,14277,a(flip)),flip(a)]. 14284 K(x,(K(y,z) * u) / w) = K(x,(u * K(y,z)) / w). [hyper(220,a,12879,a(flip),b,14278,a(flip))]. 14285 K(x,(L(K(y,z),u,w) * v5) / v6) = K(x,(v5 * L(K(y,z),u,w)) / v6). [para(11205(a,1),14278(a,1,2,1)),flip(a)]. 14286 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [hyper(220,a,12838,a(flip),b,14279,a(flip))]. 14287 K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,u)). [para(7053(a,1),14279(a,1,2,2))]. 14288 K(x,y \ T(K(z,K(u,w)) * v5,T(w * K(z,u),v6))) = K(x,y \ (w \ T(v5 * w,K(z,u)))). [para(14247(a,1),14287(a,2,2,2))]. 14290 K(x \ K(y,K(z,u)),w) = K(x \ 1,w). [hyper(14228,a,14169,a),flip(a)]. 14291 K(K(x,K(y,z)) * u,w) = K((u \ 1) \ 1,w). [hyper(14195,a,14290,a)]. 14292 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(14291(a,2),5019(a,1))]. 14293 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(14292,a,14115,a),flip(a)]. 14295 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(8797(a,1),14292(a,1,1))]. 14297 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(6140(a,1),14293(a,1,1))]. 14299 K(x / (K(y,z) * u),w) = K(x / (u * K(y,z)),w). [para(11493(a,1),14293(a,1,1))]. 14300 K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). [para(12101(a,1),14293(a,1,1))]. 14301 K(T(x,y) \ K(z,u),w) = K(x \ K(z,u),T(w,y)). [hyper(220,a,14259,a(flip),b,14300,a(flip)),flip(a)]. 14302 K(((x * K(y,z)) * u) / (u * K(y,z)),w) = K(R(x,K(y,z),u),w). [para(33(a,2),14299(a,1,1)),flip(a)]. 14304 K(x,T((y / (y / z)) \ K(u,w),v5)) = T(x,v5) / T(x * K(z \ K(u,w),T(x,y)),v5). [para(14301(a,1),14182(a,2,2,1,2))]. 14305 K(((x * K(y,z)) * u) / (u * K(y,z)),w) != v5 | K(L(x,K(y,z),u),w) = v5. [para(14302(a,2),13646(a,1))]. 14306 T(x,K(y,K(z,u)) * w) = T(x,w). [para(14264(a,1),14221(a,1,1)),flip(a)]. 14307 T(x,y / T(z,K(u,w))) = T(x,y / z). [hyper(14210,a,14306,a)]. 14308 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(14063,a,14306,a)]. 14309 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [hyper(220,a,13775,a(flip),b,14306,a(flip)),flip(a)]. 14311 T(x,T(y,K(z,u)) / w) = T(x,y / w). [para(5542(a,1),14306(a,1,2))]. 14312 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(5543(a,1),14306(a,1,2))]. 14313 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7382(a,1),14306(a,1,2))]. 14314 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(8569(a,1),14308(a,1,2))]. 14315 T(x,y / (K(z,u) * w)) = T(x,y / (w * K(z,u))). [para(11493(a,1),14308(a,1,2))]. 14316 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(v5,u)))) = K(x,T(K(y,K(v5,u)) * w,y / K(z,u))). [para(14308(a,1),11819(a,1,2)),flip(a)]. 14317 T(x,y / (L(K(z,u),w,v5) * v6)) = T(x,y / (v6 * L(K(z,u),w,v5))). [para(11205(a,1),14307(a,1,2,2)),flip(a)]. 14318 T(x,(y / z) / T(u,z \ y)) = T(x,u \ (y / z)). [hyper(220,a,12784,a,b,14309,a(flip)),flip(a)]. 14319 T(x,(y * T(z,y * K(u,w))) / v5) = T(x,(z * T(y,K(u,w))) / v5). [para(14222(a,1),14311(a,1,2,1))]. 14320 T(x,y \ (L(K(z,u),w,v5) * v6)) = T(x,y \ (v6 * L(K(z,u),w,v5))). [para(11205(a,1),14312(a,1,2,2)),flip(a)]. 14321 K(x,(y \ T(z,K(u,w))) / T(v5,y \ z)) = K(x,v5 \ (y \ T(z,K(u,w)))). [para(14312(a,1),12795(a,1,2,2))]. 14322 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(220,a,13770,a,b,14313,a)]. 14323 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(14313(a,2),14190(a,1))]. 14324 T(x,y * K(z / u,w)) = T(x,y * K(u \ z,w)). [para(8328(a,1),14314(a,1,2,2))]. 14325 L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). [para(14322(a,1),14219(a,2,2,1))]. 14327 T(x,(y * L(K(z,u),w,v5)) / T(v6,L(K(u,z),w,v5) \ y)) = T(x,v6 \ (y / L(K(u,z),w,v5))). [para(6534(a,1),14318(a,1,2,1))]. 14328 T(x,y * K(L(T(z,z \ u),z \ u,w),v5)) = T(x,y * K((w * u) / (w * (z \ u)),v5)). [para(254(a,2),14324(a,2,2,2,1)),flip(a)]. 14329 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,1 / (z * y))). [para(5324(a,1),14036(a,2,2))]. 14330 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(220,a,8456,a(flip),b,14329,a)]. 14332 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(14046,a,14330,a)]. 14333 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(220,a,13670,a(flip),b,14332,a(flip))]. 14334 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7941,a,14333,a)]. 14335 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(220,a,14047,a(flip),b,14334,a(flip))]. 14336 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(66(a,1),14335(a,1,2,2,1,2))]. 14337 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(220,a,11847,a(flip),b,14336,a(flip))]. 14338 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6347(a,1),14158(a,1,2,2))]. 14339 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [hyper(220,a,6963,a(flip),b,14208,a(flip)),flip(a)]. 14340 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(14118,a,14339,a)]. 14342 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(14340(a,1),7039(a,1))]. 14343 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(1267(a,1),14342(a,1,2))]. 14344 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(7861(a,1),14342(a,1,2))]. 14345 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(14152(a,1),14342(a,1))]. 14346 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(6187(a,1),14343(a,1,2,2))]. 14347 K(x,y \ T(z,T(u,w))) != v5 | K(x,y \ T(z,u)) = v5. [para(7053(a,1),14343(a,1,2,2))]. 14348 K(x,y / (K(z,u) \ w)) != v5 | K(x,y / (w / K(z,u))) = v5. [para(120(a,1),14344(a,1,2,2))]. 14349 K(x,y / (z * K(u,w))) != v5 | K(x,y / (K(u,w) * z)) = v5. [para(6359(a,1),14344(a,1,2,2))]. 14350 K(x,y / (z * L(K(u,w),v5,v6))) != v7 | K(x,y / (L(K(u,w),v5,v6) * z)) = v7. [para(11205(a,1),14344(a,1,2,2))]. 14352 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(6187(a,1),14345(a,1,2,1))]. 14354 K(x,T((y / (y / z)) \ K(u,w),v5)) = K(x,T(T(z \ K(u,w),y),v5)). [hyper(220,a,7600,a(flip),b,14304,a)]. 14355 K(x,T(T(y,z) \ K(u,w),v5)) = K(x,T(T(y \ K(u,w),z),v5)). [hyper(14262,a,14354,a)]. 14356 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6767(a,1),14338(a,1,2)),flip(a)]. 14357 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(220,a,16,a(flip),b,14356,a)]. 14358 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5507,a,14357,a),flip(a)]. 14360 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14357(a,1),5507(a,1))]. 14361 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13570(a,1),14358(a,1,1,1,2,1,2))]. 14362 T(x,y * K(L(T(z,z \ u),z \ u,w),v5)) = T(x,y * K(z,((u / v5) * w) \ (u * w))). [para(14257(a,1),14328(a,2,2,2))]. 14363 K(x,T(K(y,z) * (K(z,y) / u),w) * K(y,z \ y)) = K(x,(K(z,y) / u) * K(u \ 1,w)). [para(5242(a,1),14177(a,1,2,1,1))]. 14364 K(x,K(y,z) * T(K(z,y) * (K(y,z) / u),w)) = K(x,(K(y,z) / u) * K(u \ 1,w)). [hyper(220,a,14151,a(flip),b,14363,a(flip)),flip(a)]. 14365 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ T(w * y,K(z,u))). [para(14260(a,1),14316(a,2,2))]. 14367 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ (w * y)). [hyper(220,a,14279,a(flip),b,14365,a)]. 14369 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,T(w,y)). [para(35(a,2),14367(a,2,2))]. 14370 K(x,((y / K(z,u)) * w) / (K(z,u) \ y)) = K(x,T(w,y)). [para(6399(a,1),14369(a,1,2,2))]. 14371 K(x,((y / K(z,u)) * w) / (y / K(z,u))) = K(x,T(w,y)). [hyper(14348,a,14370,a)]. 14372 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(8115,a,14371,a)]. 14373 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(8539,a,14372,a)]. 14374 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [para(18(a,1),14372(a,1,2,2)),flip(a)]. 14378 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(14373(a,1),8034(a,1,1))]. 14379 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(14144,a,14374,a)]. 14383 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5424(a,1),14374(a,1,2,2)),flip(a)]. 14385 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(14374(a,1),8034(a,1,1))]. 14386 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (x * K(y,z)),w) = v5. [para(14374(a,1),8303(a,1))]. 14392 T(x,T(y,K(z,u) * w)) = (v5 / x) \ (v5 * K(x,T(y,w))). [para(14379(a,1),6153(a,1,2,2)),flip(a)]. 14397 K(x,T(y,z \ K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(14379(a,1),14166(a,1))]. 14398 K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. [para(8521(a,1),14397(a,1))]. 14399 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8003,a,14383,a)]. 14401 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(220,a,13279,a(flip),b,14378,a(flip)),flip(a)]. 14402 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(220,a,13285,a,b,14401,a(flip)),flip(a)]. 14403 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3813(a,1),14385(a,1,1))]. 14404 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(220,a,6153,a(flip),b,14392,a)]. 14406 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(220,a,14097,a(flip),b,14404,a(flip))]. 14407 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(13057(a,1),14404(a,1,2,2,1))]. 14408 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(14406(a,1),8552(a,1,2)),flip(a)]. 14409 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(220,a,8552,a(flip),b,14408,a)]. 14410 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8533,a,14409,a)]. 14411 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(18(a,1),14409(a,1,2,2)),flip(a)]. 14413 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5682(a,1),14409(a,1,2,2)),flip(a)]. 14418 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(220,a,7893,a,b,14410,a)]. 14419 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(14033,a,14411,a)]. 14423 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(5408(a,1),14411(a,1,2,2)),flip(a)]. 14424 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5424(a,1),14411(a,1,2,2)),flip(a)]. 14426 T(x,K(y,z * K(u,w))) = (v5 / x) \ (v5 * K(x,K(y,z))). [para(14411(a,1),6153(a,1,2,2)),flip(a)]. 14427 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6395(a,2),14411(a,1,2,2))]. 14428 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6663(a,1),14411(a,1,2,2)),flip(a)]. 14429 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(7387(a,1),14411(a,1,2,2))]. 14432 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(11493(a,1),14411(a,1,2,2))]. 14433 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8589,a,14418,a)]. 14434 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7941,a,14418,a)]. 14436 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(220,a,7875,a(flip),b,14419,a)]. 14437 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5350(a,1),14419(a,1,2,2)),flip(a)]. 14440 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(9696(a,1),14419(a,1,2,2)),flip(a)]. 14442 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(13703(a,1),14419(a,1,2,2))]. 14446 K(x,K(y,z \ K(u,w))) = K(z,K(x,y)). [hyper(8535,a,14436,a)]. 14447 K(x,K(K(y,z) * u,w)) = K(u,K(x,w)). [hyper(7941,a,14436,a)]. 14450 K(x,K(y,z \ K(u,w))) != v5 | K(x,K(y,z)) = v5. [para(14446(a,2),7897(a,1))]. 14452 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(220,a,7873,a,b,14447,a)]. 14454 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(14102,a,14452,a)]. 14455 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8578,a,14452,a)]. 14457 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(5542(a,1),14452(a,1,2,1))]. 14461 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(220,a,14434,a,b,14454,a),flip(a)]. 14463 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(220,a,14251,a(flip),b,14457,a(flip))]. 14469 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(14424(a,2),8564(a,1,1))]. 14470 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(220,a,14337,a(flip),b,14427,a(flip)),flip(a)]. 14471 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7879,a,14470,a)]. 14472 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(220,a,7873,a,b,14471,a)]. 14473 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1266(a,1),14428(a,1,2,2,1))]. 14474 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(14428(a,2),14033(a,1))]. 14475 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8533,a,14432,a)]. 14476 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(14191,a,14440,a)]. 14477 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). [hyper(220,a,13996,a,b,14440,a)]. 14479 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(220,a,8573,a(flip),b,14461,a(flip))]. 14485 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(220,a,8450,a,b,14475,a)]. 14486 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(14475(a,1),8533(a,1))]. 14487 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(14475(a,2),8533(a,1))]. 14488 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(4875(a,1),14477(a,1,2,2,2))]. 14489 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(14477(a,2),14033(a,1))]. 14490 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(220,a,14235,a(flip),b,14485,a)]. 14491 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(785(a,1),14485(a,1,2,2)),flip(a)]. 14492 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(14485(a,1),8533(a,1))]. 14494 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(220,a,6153,a(flip),b,14426,a)]. 14495 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [para(6530(a,1),14494(a,1,2,2))]. 14496 x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). [para(14494(a,1),13764(a,1,2,1,2))]. 14497 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,z)). [para(14495(a,1),9899(a,2,2))]. 14498 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(w,z)). [para(14495(a,1),12302(a,2,2))]. 14499 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(220,a,8570,a,b,14433,a)]. 14500 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(120(a,1),14442(a,1,2,2,1,1)),flip(a)]. 14501 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(120(a,1),14473(a,1,2,2,1,1)),flip(a)]. 14502 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(178(a,1),14473(a,1,2,2,1,1)),flip(a)]. 14503 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(220,a,14041,a(flip),b,14476,a)]. 14504 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8533,a,14503,a)]. 14506 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5545(a,1),14503(a,1,2,2,1))]. 14507 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6705(a,1),14504(a,1,2,2,2))]. 14508 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8079(a,1),14504(a,1,2,2,2)),flip(a)]. 14510 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(14508(a,1),14202(a,1,1))]. 14511 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(220,a,14475,a(flip),b,14506,a(flip)),flip(a)]. 14512 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(120(a,1),14511(a,1,2,2,2,1)),flip(a)]. 14514 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(220,a,13482,a(flip),b,14463,a(flip)),flip(a)]. 14515 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(7981(a,1),14463(a,1,2,1))]. 14516 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(1267(a,1),14474(a,1,2,2,1))]. 14517 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(5685(a,1),14474(a,1,2,2,1))]. 14518 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6206(a,1),14474(a,1,2,2))]. 14519 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13996(a,1),14474(a,1))]. 14520 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(4853(a,1),14489(a,1,2,2,2))]. 14522 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(10720(a,1),14489(a,1,2,2))]. 14523 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(7123(a,1),14519(a,1,2,2,2))]. 14525 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(220,a,13427,a(flip),b,14403,a(flip))]. 14526 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(220,a,14402,a(flip),b,14525,a(flip))]. 14527 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(14526(a,2),10616(a,2,2))]. 14528 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(715(a,1),14500(a,1,2,2,1,1)),flip(a)]. 14529 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [hyper(14033,a,14501,a),flip(a)]. 14530 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(14033,a,14502,a)]. 14531 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(220,a,8450,a,b,14507,a)]. 14533 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(14530(a,1),14033(a,1))]. 14534 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(14486,a,14531,a)]. 14535 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(220,a,14432,a,b,14534,a)]. 14536 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(4913(a,1),14535(a,1,2,2,2,2))]. 14537 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(220,a,14499,a(flip),b,14479,a)]. 14539 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(220,a,8571,a(flip),b,14537,a)]. 14541 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(220,a,14454,a(flip),b,14539,a(flip)),flip(a)]. 14542 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(14209,a,14510,a),flip(a)]. 14543 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(5685(a,1),14542(a,1,2,2,1))]. 14544 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8539,a,14543,a)]. 14545 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(220,a,8612,a(flip),b,14544,a)]. 14546 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(120(a,1),14544(a,1,2,2,2,2)),flip(a)]. 14547 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(14544(a,1),4951(a,1,1)),flip(a)]. 14548 T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(14494(a,1),14496(a,1,2)),flip(a)]. 14549 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(220,a,13764,a(flip),b,14548,a)]. 14552 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). [para(14549(a,1),14325(a,2,2,1))]. 14553 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(z,w)). [para(7959(a,1),14497(a,2,2))]. 14555 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(z,w)). [para(7959(a,1),14498(a,2,2))]. 14557 T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). [para(6359(a,1),14553(a,1,1,1))]. 14558 T((x * K(y,z)) \ u,K(w,K(y,z) * x)) = (x * K(y,z)) \ T(u,K(x,w)). [hyper(7983,a,14557,a)]. 14559 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). [hyper(220,a,14495,a(flip),b,14558,a(flip))]. 14561 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). [hyper(220,a,7959,a,b,14559,a)]. 14562 K(x,T((y * K(z,u)) / T(w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(14561(a,1),3818(a,1,2,2))]. 14563 T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). [para(6359(a,1),14555(a,1,1,1))]. 14564 T((x * K(y,z)) / u,K(w,K(y,z) * x)) = (x * K(y,z)) / T(u,K(x,w)). [hyper(7983,a,14563,a)]. 14565 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). [hyper(220,a,14495,a(flip),b,14564,a(flip))]. 14567 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). [hyper(220,a,7959,a,b,14565,a)]. 14568 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(220,a,13325,a,b,14491,a)]. 14569 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(13999(a,1),14568(a,2,3))]. 14570 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(220,a,14413,a(flip),b,14569,a(flip)),flip(a)]. 14572 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(16(a,1),14528(a,1,2,2,1,1)),flip(a)]. 14573 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(220,a,14042,a,b,14572,a(flip)),flip(a)]. 14575 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(47(a,1),14573(a,1,2,2,2))]. 14576 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(220,a,14219,a,b,14552,a)]. 14577 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(220,a,13741,a(flip),b,14576,a)]. 14578 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(117(a,1),14577(a,1,1,2,2,2))]. 14579 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(13967,a,14578,a)]. 14580 K(x,(y * K(z,u)) * K(y,w)) = K(x,T(y * K(z,u),w)). [hyper(8121,a,14579,a),flip(a)]. 14583 K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). [para(14073(a,1),14580(a,1,2)),flip(a)]. 14584 K(x,T(y * K(z,u),w)) = K(x,K(u,z) * T(y,w)). [hyper(220,a,14149,a,b,14583,a)]. 14585 K(x,T((K(y,z) * u) * K(y,z),w)) = K(x,K(y,z) * T(K(z,y) \ u,w)). [hyper(220,a,13878,a,b,14584,a)]. 14586 K(x,T((K(y,z) * (K(z,y) / u)) * K(y,z),w)) = K(x,(K(z,y) / u) * K(u \ 1,w)). [hyper(220,a,14364,a(flip),b,14584,a)]. 14587 K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,K(y,z) * T(K(z,y) \ u,w)). [para(7013(a,1),14585(a,1,2,1))]. 14588 K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,K(y,z) * T(K(y,z) * u,w)). [para(5242(a,1),14587(a,2,2,2,1))]. 14589 K(x,T((K(y,z) * u) * K(z,y),w)) = K(x,T(K(y,z) * (u * K(y,z)),w)). [hyper(220,a,14584,a,b,14588,a),flip(a)]. 14590 K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,T(T(u,K(z,y)),w)). [para(6190(a,1),14589(a,1,2,1)),flip(a)]. 14591 K(x,T(K(y,z) * (u * K(y,z)),w)) != v5 | K(x,T(u,w)) = v5. [para(14590(a,2),14119(a,1))]. 14592 K(x,T(K(y,z) * ((K(z,y) / u) * K(y,z)),w)) = K(x,(K(z,y) / u) * K(u \ 1,w)). [para(7013(a,1),14586(a,1,2,1))]. 14593 K(x,(K(y,z) / u) * K(u \ 1,w)) = K(x,T(K(y,z) / u,w)). [hyper(14591,a,14592,a),flip(a)]. 14594 K(x,(K(y,z) / u) * K(u \ 1,w)) = K(x,T(u \ K(y,z),w)). [hyper(220,a,14125,a(flip),b,14593,a)]. 14595 K(x,K(y,z) * (K(u,w) / y)) = K(x,T(y \ K(u,w),z)). [hyper(14194,a,14594,a)]. 14596 K(x,K(y,z) * (y \ K(u,w))) = K(x,T(y \ K(u,w),z)). [hyper(220,a,14283,a(flip),b,14595,a(flip)),flip(a)]. 14597 K(x,T(y,z) \ K(u,w)) = K(x,T(y \ K(u,w),z)). [hyper(220,a,13778,a(flip),b,14596,a(flip)),flip(a)]. 14598 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8566(a,1),14527(a,1,1))]. 14599 T(T(x,K(y * z,u)),(z * T(y,z * K(w,v5))) / u) = T(x,u \ T(y * T(z,K(w,v5)),K(w,v5))). [para(14297(a,1),14229(a,1,1,2))]. 14600 T(T(x,K(y,z * u)),(u * T(z,u * K(w,v5))) / y) = T(x,y \ T(z * T(u,K(w,v5)),K(w,v5))). [para(7959(a,1),14599(a,1,1))]. 14602 T(x,K(K(y,z) * u,w) * (v5 / (w * K(u,K(y,z))))) = T(x,v5 / (u \ T(w * u,K(y,z)))). [para(14275(a,1),14248(a,1,2,1))]. 14603 T(x,K(K(y,z) * u,w) * (v5 / (w * K(y,K(z,u))))) = T(x,v5 / (u \ T(w * u,K(y,z)))). [para(7875(a,2),14602(a,1,2,2,2,2))]. 14605 K(x,T(T((y * K(z,u)) / w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(14567(a,1),14562(a,1,2,1))]. 14606 K(x,T(T((y * K(z,u)) / w,K(y,v5)),(y * K(z,u)) \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(14142,a,14605,a)]. 14608 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13581(a,1),14361(a,1,1,1))]. 14609 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14360,a,14608,a),flip(a)]. 14610 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(220,a,14383,a,b,14609,a)]. 14611 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(220,a,14546,a,b,14610,a(flip)),flip(a)]. 14612 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(14196,a,14611,a),flip(a)]. 14613 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(14612(a,1),14547(a,2,1))]. 14614 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(220,a,4951,a(flip),b,14613,a)]. 14615 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(14614(a,1),2423(a,1,1))]. 14616 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(220,a,2423,a(flip),b,14615,a(flip))]. 14617 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(14101,a,14515,a),flip(a)]. 14619 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(13645(a,1),14617(a,2,2))]. 14620 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [hyper(220,a,8576,a(flip),b,14619,a)]. 14621 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(220,a,14541,a(flip),b,14620,a)]. 14623 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(220,a,14535,a(flip),b,14621,a(flip)),flip(a)]. 14625 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(220,a,14490,a(flip),b,14623,a(flip)),flip(a)]. 14626 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(220,a,14455,a(flip),b,14625,a(flip))]. 14628 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(220,a,8564,a,b,14626,a(flip)),flip(a)]. 14629 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13277(a,1),14626(a,1,2,2,2))]. 14630 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(220,a,13431,a,b,14628,a)]. 14631 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13432,a,14630,a)]. 14632 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4822(a,1),14631(a,1,2))]. 14633 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4913(a,1),14631(a,1,2))]. 14634 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(220,a,11849,a(flip),b,14632,a(flip))]. 14635 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7875(a,2),14634(a,2,3))]. 14636 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11847(a,1),14635(a,2,3))]. 14637 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(17(a,1),14636(a,1,3,2,2))]. 14638 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7875(a,1),14637(a,1,3))]. 14639 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(17(a,1),14638(a,2,3,2,2))]. 14640 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7875(a,1),14639(a,2,3))]. 14641 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(66(a,1),14640(a,1,2,2))]. 14642 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7875(a,2),14641(a,1,3))]. 14643 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7875(a,2),14642(a,2,3))]. 14644 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(220,a,13407,a,b,14643,a(flip)),flip(a)]. 14645 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7893(a,1),14644(a,2,3))]. 14646 K(x,L(y / T(z * K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) = K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))). [para(7944(a,1),14058(a,1,2,1,2,1))]. 14647 K(x,L((y \ z) / T(u * K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(7944(a,1),13721(a,1,2,1,2,1))]. 14659 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4426(a,1),9321(a,1,2,1)),flip(a)]. 14660 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2311(a,1),14659(a,2,2,2))]. 14662 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(11913(a,1),14660(a,2,2))]. 14663 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(220,a,5242,a(flip),b,14662,a)]. 14664 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(220,a,4736,a(flip),b,14663,a)]. 14665 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4426(a,1),14664(a,1,2,2,2))]. 14667 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5242(a,1),14665(a,1,2,2))]. 14668 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(8619(a,1),14667(a,1,2,2)),flip(a)]. 14669 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(220,a,8826,a(flip),b,14668,a)]. 14670 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(141(a,1),14669(a,2,2))]. 14671 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(14616(a,1),14670(a,1,1,1)),flip(a)]. 14672 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(220,a,14670,a(flip),b,14671,a)]. 14673 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(220,a,7412,a(flip),b,14672,a)]. 14674 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7503,a,14673,a)]. 14675 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(220,a,14544,a(flip),b,14674,a(flip)),flip(a)]. 14676 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(220,a,14545,a(flip),b,14675,a(flip))]. 14677 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(220,a,8612,a(flip),b,14676,a(flip)),flip(a)]. 14678 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(117(a,1),14677(a,1,2,2,1,1)),flip(a)]. 14681 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(220,a,14383,a(flip),b,14678,a(flip)),flip(a)]. 14682 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(220,a,7850,a,b,14681,a),flip(a)]. 14683 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(20,a,14399,a,b,14682,a),flip(a)]. 14684 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8533,a,14683,a)]. 14685 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(220,a,14427,a(flip),b,14683,a(flip))]. 14686 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(220,a,14423,a(flip),b,14683,a(flip))]. 14687 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(14683(a,1),14469(a,1,1))]. 14688 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(14033,a,14686,a)]. 14689 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(17(a,1),14688(a,1,2,2,2,2)),flip(a)]. 14690 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8596,a,14687,a),flip(a)]. 14691 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(220,a,14514,a(flip),b,14690,a(flip))]. 14692 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(66(a,1),14690(a,1,2,1,2)),flip(a)]. 14693 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(14102,a,14692,a)]. 14694 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(17(a,1),14691(a,2,2,2,2))]. 14695 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(220,a,14485,a,b,14694,a)]. 14696 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(14694(a,2),14487(a,1))]. 14697 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(220,a,14693,a(flip),b,14695,a(flip)),flip(a)]. 14698 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13440(a,1),14695(a,1,2))]. 14699 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(14695(a,2),14487(a,1))]. 14701 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(220,a,14698,a(flip),b,14697,a(flip))]. 14702 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3750(a,2),14697(a,2,2,2,1))]. 14703 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13437(a,1),14702(a,1,2))]. 14704 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(14696,a,14703,a),flip(a)]. 14705 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(220,a,14684,a(flip),b,14704,a(flip)),flip(a)]. 14706 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(14517,a,14705,a)]. 14707 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(220,a,14529,a,b,14706,a(flip)),flip(a)]. 14709 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(220,a,14530,a(flip),b,14706,a(flip))]. 14710 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(14533,a,14707,a)]. 14711 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(14492,a,14709,a)]. 14712 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(220,a,14701,a,b,14709,a(flip)),flip(a)]. 14713 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(220,a,14084,a(flip),b,14709,a(flip))]. 14714 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(220,a,13704,a,b,14711,a(flip)),flip(a)]. 14715 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(8365(a,1),14711(a,1,2))]. 14716 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(13491(a,1),14711(a,1,2,2,2,1)),flip(a)]. 14717 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(14492,a,14712,a)]. 14718 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(220,a,13483,a(flip),b,14714,a(flip)),flip(a)]. 14719 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(14227(a,1),14715(a,1,2)),flip(a)]. 14720 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(220,a,14717,a(flip),b,14716,a)]. 14722 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(220,a,14710,a(flip),b,14720,a(flip)),flip(a)]. 14723 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(14487,a,14722,a)]. 14725 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(220,a,14512,a(flip),b,14722,a(flip)),flip(a)]. 14726 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8533,a,14725,a)]. 14727 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(118(a,1),14725(a,1,2,2,2)),flip(a)]. 14728 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(220,a,14570,a(flip),b,14726,a(flip))]. 14729 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(14032,a,14728,a)]. 14731 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(220,a,13461,a,b,14728,a)]. 14732 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(14728(a,1),7879(a,1))]. 14733 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(19(a,1),14729(a,1,2,2,2,2))]. 14734 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(14517,a,14727,a),flip(a)]. 14736 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(220,a,14536,a,b,14734,a(flip)),flip(a)]. 14737 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(220,a,14268,a(flip),b,14736,a(flip))]. 14738 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(19(a,1),14731(a,2,2))]. 14739 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(220,a,8449,a(flip),b,14719,a)]. 14740 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(220,a,14688,a(flip),b,14739,a(flip))]. 14742 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(220,a,14684,a(flip),b,14740,a)]. 14743 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(14520,a,14742,a)]. 14744 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(183(a,1),14742(a,1,2,2,2))]. 14745 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(220,a,14437,a(flip),b,14744,a)]. 14747 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(220,a,14575,a(flip),b,14745,a(flip))]. 14749 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(114(a,1),14747(a,1,2,2)),flip(a)]. 14750 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(14522,a,14749,a)]. 14751 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(14518,a,14750,a),flip(a)]. 14752 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(14220,a,14750,a)]. 14753 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(14518,a,14751,a),flip(a)]. 14754 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(14523,a,14753,a),flip(a)]. 14755 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(14520,a,14753,a)]. 14756 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(220,a,14713,a(flip),b,14753,a(flip))]. 14757 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(220,a,14743,a(flip),b,14756,a(flip)),flip(a)]. 14758 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(220,a,14488,a(flip),b,14754,a)]. 14759 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(220,a,11842,a(flip),b,14752,a)]. 14760 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(220,a,14723,a(flip),b,14759,a)]. 14761 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8533,a,14760,a)]. 14762 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13247(a,1),14761(a,1,2)),flip(a)]. 14763 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6155(a,1),14758(a,1,2,2,2))]. 14764 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(14519,a,14763,a)]. 14766 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(220,a,14764,a(flip),b,14757,a(flip)),flip(a)]. 14767 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(220,a,14737,a(flip),b,14766,a(flip))]. 14768 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(220,a,13466,a(flip),b,14767,a(flip)),flip(a)]. 14769 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(220,a,14629,a,b,14768,a(flip)),flip(a)]. 14770 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(14769(a,1),14598(a,1,1)),flip(a)]. 14771 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(220,a,13423,a,b,14762,a)]. 14772 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7892(a,1),14770(a,2,2))]. 14774 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(220,a,12214,a(flip),b,14772,a)]. 14775 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10616(a,1),14774(a,2,1))]. 14776 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(220,a,13464,a(flip),b,14775,a)]. 14777 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(14526(a,1),14776(a,1,2))]. 14778 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7892(a,1),14777(a,1,3))]. 14779 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11197,a,14778,a)]. 14780 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(127(a,1),14779(a,1,2,1))]. 14781 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(220,a,14771,a,b,14780,a(flip)),flip(a)]. 14782 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(220,a,14645,a(flip),b,14780,a(flip)),flip(a)]. 14783 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(220,a,13408,a,b,14782,a)]. 14784 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7875(a,1),14781(a,2,3))]. 14785 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5484(a,1),14784(a,1,2,2,2,1))]. 14786 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(9326(a,1),14785(a,1,2))]. 14787 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(13353(a,1),14786(a,1,2))]. 14788 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6363(a,1),14787(a,1,2,2,1))]. 14789 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(220,a,14755,a(flip),b,14788,a(flip)),flip(a)]. 14790 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(14474,a,14789,a)]. 14792 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6210(a,1),14790(a,2,3,2))]. 14793 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(14411(a,1),14792(a,2,3))]. 14794 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(220,a,14733,a(flip),b,14793,a(flip)),flip(a)]. 14796 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(63(a,1),14794(a,1,3,2,1))]. 14797 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(14689(a,1),14796(a,1,3))]. 14798 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7873(a,1),14797(a,1,3))]. 14799 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(14472(a,1),14798(a,1,3))]. 14800 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(220,a,13459,a(flip),b,14799,a(flip))]. 14801 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7893(a,1),14800(a,1,3))]. 14802 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(220,a,14633,a,b,14801,a(flip)),flip(a)]. 14803 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(220,a,14783,a(flip),b,14802,a(flip))]. 14804 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7873(a,1),14803(a,2,3))]. 14805 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(14732,a,14804,a)]. 14806 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7875(a,2),14805(a,2,3))]. 14807 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(220,a,14738,a(flip),b,14806,a(flip)),flip(a)]. 14808 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8450(a,1),14807(a,1,3))]. 14809 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7893(a,1),14808(a,2,3))]. 14810 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(220,a,14804,a(flip),b,14809,a(flip))]. 14811 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(14810(a,1),13429(a,1,1))]. 14812 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7873(a,1),14811(a,1,2))]. 14813 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13467,a,14812,a),flip(a)]. 14814 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8594,a,14813,a)]. 14815 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(220,a,14718,a(flip),b,14814,a)]. 14816 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(604(a,1),14814(a,1,2,2)),flip(a)]. 14817 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6563(a,1),14814(a,1,2)),flip(a)]. 14818 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(14699,a,14815,a)]. 14820 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(14817(a,2),8473(a,1))]. 14821 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(220,a,13986,a,b,14816,a)]. 14822 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(220,a,14818,a(flip),b,14821,a)]. 14823 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(220,a,14685,a(flip),b,14822,a)]. 14826 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(8129(a,1),14823(a,2,2))]. 14828 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(220,a,13973,a(flip),b,14826,a)]. 14830 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(220,a,13483,a(flip),b,14828,a(flip)),flip(a)]. 14831 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(14820,a,14830,a),flip(a)]. 14835 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6413(a,1),14831(a,1,2)),flip(a)]. 14837 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(220,a,8462,a(flip),b,14835,a)]. 14841 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(14835(a,2),8469(a,1))]. 14842 K(x,K(y,(z * u) \ (w * u))) = K(w / z,K(x,y)). [hyper(14184,a,14837,a)]. 14845 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(220,a,8564,a,b,14837,a(flip)),flip(a)]. 14847 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(14837(a,1),8569(a,1,2))]. 14852 a(x,y,K(z,K(u,w))) = 1. [hyper(37,a,14845,a)]. 14855 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(14845(a,1),13680(a,1,1)),flip(a)]. 14860 (K(x,y) * (K(z,u) * w)) * 1 = (K(x,y) * w) * T(K(z,u),w). [para(14852(a,1),13484(a,1,2))]. 14861 K(x,K(L(y,z,u),w)) = K(x,K(y,w)). [hyper(14841,a,7893,a),flip(a)]. 14862 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8563(a,2),14841(a,1))]. 14868 T(x,K(y,L(z,u,w))) = x * K(x,K(z,y)). [para(14861(a,1),7921(a,1,2)),flip(a)]. 14874 T(x,K(y,L(z,u,w))) != v5 | T(x,K(z,y)) = v5. [para(14868(a,2),4804(a,1))]. 14876 T(x,K(y,(z * u) / (w * u))) = T(x,K(w \ z,y)). [hyper(14874,a,14234,a),flip(a)]. 14877 T(x,K(L(y,z,u),w)) = T(x,K(y,w)). [hyper(14874,a,7959,a),flip(a)]. 14878 T(T(x,y),K(z,y)) = T(x,T(y,L(z,u,w))). [hyper(14874,a,7053,a)]. 14879 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(14874,a,11177,a(flip)),flip(a)]. 14880 T(x,K(y,z)) \ T(u * x,K((w * (v5 * y)) \ (w * v5),z)) = T(u,x * K((w * (v5 * y)) \ (w * v5),z)). [para(14877(a,1),13947(a,1,1))]. 14881 T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). [para(6569(a,1),14879(a,1,2)),flip(a)]. 14882 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(14879(a,1),10583(a,1,1,1))]. 14883 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [hyper(7979,a,14878,a),flip(a)]. 14884 T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. [para(14883(a,1),7440(a,1,1))]. 14885 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(7485,a,14884,a),flip(a)]. 14887 K(x,T(y,(z * u) \ w)) = K(x,T(y,u \ (z \ w))). [para(217(a,1),14885(a,1,2,2))]. 14889 K(x,K(y,(z * u) \ (w * u))) = K(x,K(y,w / z)). [hyper(220,a,7875,a,b,14842,a)]. 14890 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(14078,a,14847,a)]. 14892 L(x,y,K(z,K(u,w))) = x. [hyper(21,a,13744,a,b,14847,a(flip)),flip(a)]. 14893 (x * y) \ (K(z,K(u,w)) * (x * ((y * v5) * K(z,K(u,w))))) = L(v5,y,x). [para(14847(a,1),14088(a,1,2,2))]. 14895 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(14892(a,1),448(a,1,2))]. 14896 T(x,(y * K(z,K(u,w))) / (v5 \ T(z,K(u,w)))) = T(x,y / (v5 \ z)). [para(14892(a,1),13652(a,1,2)),flip(a)]. 14897 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) \ v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(14892(a,1),14646(a,1,2)),flip(a)]. 14898 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5 * K(z,K(u,w)),v6)). [para(14892(a,1),14647(a,1,2)),flip(a)]. 14899 T(x,K(y,(z * u) / (w * u))) != v5 | T(x,K(y,w \ z)) = v5. [para(14876(a,2),7983(a,1))]. 14900 x \ T(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) \ w)). [hyper(71,a,14881,a(flip),b,4801,a(flip))]. 14901 K(x,T(T((y * K(z,u)) / w,K(y,v5)),K(z,u) \ (y \ w))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(220,a,14606,a(flip),b,14887,a(flip))]. 14902 K(x,K(y,(z * u) \ (w * u))) = K(x,K(y,z \ w)). [hyper(220,a,13986,a(flip),b,14889,a)]. 14903 x * ((x \ y) * K(z,K(u,w))) = K(z,K(u,w)) * y. [hyper(555,a,14890,a),flip(a)]. 14904 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(20,a,14855,a(flip),b,14890,a)]. 14905 (K(x,K(y,z)) * (u * w)) \ (u * ((w * K(x,K(y,z))) * v5)) = L(v5,w * K(x,K(y,z)),u). [para(14890(a,2),31(a,2,1)),flip(a)]. 14906 L(T(x,K(y,K(z,u))) \ (w * v5),T(x,K(y,K(z,u))),K(y,K(z,u))) = (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))). [para(14890(a,1),409(a,2,2))]. 14907 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) != v6 | a(x,w,v5 * K(y,K(z,u))) = v6. [para(14890(a,2),597(a,1,1,2))]. 14908 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(14003(a,2),14890(a,2,2))]. 14909 (x * K(y,K(z,u))) / w = K(y,K(z,u)) * (x / w). [para(14003(a,1),14895(a,1,1))]. 14910 T(x,(K(y,K(z,u)) * w) / v5) = T(x,w / v5). [para(14895(a,2),14306(a,1,2))]. 14911 T(x,(y * T(z,K(u,w))) / v5) = T(x,(y * z) / v5). [para(5545(a,1),14910(a,1,2,1))]. 14912 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [para(19(a,1),14902(a,1,2,2,2))]. 14913 x \ T(K(y,K(z,u)) * w,v5) = (x \ T(w,v5)) * K(y,K(z,u)). [hyper(71,a,14200,a,b,14903,a)]. 14914 (x \ (y * z)) * K(y,K(u,w)) = x \ (T(y,K(u,w)) * z). [hyper(71,a,4875,a(flip),b,14903,a),flip(a)]. 14915 x \ (K(y,K(z,u)) * w) != v5 | (x \ w) * K(y,K(z,u)) = v5. [para(14903(a,1),209(a,1,2)),flip(b)]. 14917 (x * (y * (z * K(u,K(w,v5))))) \ ((x * (K(u,K(w,v5)) * y)) * z) = a(x,K(u,K(w,v5)) * y,z). [para(14904(a,1),27(a,2,1,2)),flip(a)]. 14918 (x * (y * K(z,K(u,w)))) \ ((K(z,K(u,w)) * x) * (y * v5)) = L(v5,y,K(z,K(u,w)) * x). [para(14904(a,1),31(a,2,1)),flip(a)]. 14919 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(14003(a,1),14904(a,1,1))]. 14921 (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (v5 * K(y,K(z,u))). [para(14908(a,1),14904(a,1,1))]. 14922 (x * K(y,K(z,u))) / w = (x / w) * K(y,K(z,u)). [hyper(220,a,14003,a(flip),b,14909,a)]. 14923 T(x,(y * T(z,y * K(u,w))) / v5) = T(x,(z * y) / v5). [hyper(220,a,14319,a,b,14911,a(flip)),flip(a)]. 14924 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,y \ (z / u))). [para(14912(a,1),14261(a,2,2))]. 14925 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(14003(a,2),14919(a,2,2))]. 14928 (x * K(y,K(z,u))) \ (x * w) = K(y,K(z,u)) \ w. [hyper(71,a,89,a(flip),b,14925,a)]. 14929 (x * K(y,K(z,u))) \ (x * w) = w * K(y,K(z,u)). [hyper(220,a,14048,a(flip),b,14928,a)]. 14931 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(17(a,1),14929(a,1,2))]. 14932 x / (y * K(z,K(u,w))) = (x / y) * K(z,K(u,w)). [para(14929(a,1),266(a,1,2))]. 14933 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(14003(a,2),14931(a,1,1))]. 14934 T(x,K(K(y,z) * u,w) * ((v5 / w) * K(y,K(z,u)))) = T(x,v5 / (u \ T(w * u,K(y,z)))). [para(14932(a,1),14603(a,1,2,2))]. 14935 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(14908(a,1),14933(a,1,1))]. 15040 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [hyper(4869,a,14900,a),flip(a)]. 15041 K(x,K(y,z \ (u * K(w,v5)))) = K(x,K(y,u \ z)). [hyper(14450,a,15040,a),flip(a)]. 15043 K(x,K(y,z \ (u * K(w,v5)))) = K(x,K(y,z \ u)). [hyper(220,a,8451,a,b,15041,a)]. 15044 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(4816(a,1),15043(a,1,2,2,2))]. 15045 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (u \ w))). [hyper(220,a,14912,a,b,15044,a(flip)),flip(a)]. 15046 x * K(y,K(x,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). [para(15045(a,2),7883(a,1,2))]. 15048 T(T(x,K(y,z * u)),(z * u) / y) = T(x,y \ T(z * T(u,K(w,v5)),K(w,v5))). [hyper(220,a,14600,a(flip),b,14923,a(flip))]. 15049 T(x,K(y,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). [hyper(7885,a,15046,a)]. 15050 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,w \ (z * u))) = v5. [para(15049(a,1),8507(a,1))]. 15052 (K(x,y) * z) * T(K(u,w),z) = K(x,y) * (K(u,w) * z). [hyper(84,a,14860,a),flip(a)]. 15054 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(13698,a,15052,a)]. 15055 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11162,a,15054,a)]. 15058 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(220,a,9992,a(flip),b,15054,a(flip))]. 15061 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(15054(a,1),103(a,1,2))]. 15062 (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). [para(15054(a,1),394(a,1,2,1))]. 15064 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(15054(a,1),13683(a,1,1,1)),flip(a)]. 15067 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5256(a,1),15055(a,1,2))]. 15068 T(x,L(y,z,K(u,w))) = (v5 / x) \ (v5 * K(x,y)). [para(15055(a,1),6153(a,1,2,2)),flip(a)]. 15070 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(13751(a,1),15055(a,1,2))]. 15072 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(220,a,6153,a(flip),b,15068,a)]. 15073 T(x,L(y,z,L(K(u,w),v5,v6))) = T(x,y). [para(5765(a,1),15072(a,1,2,3))]. 15074 T(x,(y * z) \ (L(K(u,w),y,z) * v5)) = T(x,((K(w,u) * y) * z) \ v5). [hyper(220,a,13695,a(flip),b,15073,a(flip)),flip(a)]. 15075 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(14295,a,15058,a)]. 15082 (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (z * K(a(u,w,v5),v6)). [para(13282(a,2),15061(a,1,2))]. 15083 K(x,(y * K(z,u)) \ w) = K(x,y \ (K(u,z) * w)). [hyper(14352,a,15067,a)]. 15085 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (w * K(z,y))) = v5. [para(15067(a,2),14346(a,1))]. 15086 K(x,(y / (z * K(u,w))) \ 1) = K(x,z / (y * K(w,u))). [hyper(5866,a,15070,a)]. 15087 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(220,a,14284,a,b,15070,a(flip)),flip(a)]. 15088 K(x \ (K(y,z) * u),T(w,x)) = K(u / (x * K(z,y)),w). [hyper(14386,a,15075,a),flip(a)]. 15089 K(L((x \ y) * K(z,u),K(u,z),x),w) = K(x \ (K(z,u) * y),w). [hyper(220,a,14252,a,b,15075,a(flip)),flip(a)]. 15090 K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). [hyper(220,a,14286,a(flip),b,15083,a)]. 15093 K(x,y / (z * K(u,L(w,v5 / w,v6)))) = K(x,(L(K(w,u),v5,v6) * y) / z). [para(10005(a,1),15087(a,1,2,1,1)),flip(a)]. 15094 K((K(x,y) * z) / u,w) = K(z / (u * K(y,x)),w). [hyper(8303,a,15088,a)]. 15095 K(x / (L(y,x / y,K(z,u)) * K(u,z)),w) = K(K(z,u) * (x / y),w). [para(448(a,1),15094(a,1,1)),flip(a)]. 15096 K(x,(y \ T(z,T(u * K(w,v5),v6))) * K(w,K(v5,u))) = K(x,y \ (u \ T(z * u,K(w,v5)))). [para(14913(a,1),14288(a,1,2))]. 15098 T(x,(y / (z \ T(u,K(w,v5)))) * K(u,K(w,v5))) = T(x,y / (z \ u)). [para(14922(a,1),14896(a,1,2))]. 15099 T(x,K(((y \ z) * y) / (u * y),w)) = T(x,K(w,y \ (z / u))). [hyper(220,a,4801,a,b,14924,a)]. 15100 T(x,K(y,((z \ u) * z) / (w * z))) = T(x,K(y,z \ (u / w))). [hyper(7983,a,15099,a)]. 15101 T(x,K(y,z \ (u \ w))) = T(x,K(y,u \ (w / z))). [hyper(14899,a,15100,a)]. 15102 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [para(18(a,1),15101(a,2,2,2,2))]. 15103 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(71,a,15102,a(flip),b,4801,a(flip)),flip(a)]. 15104 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(220,a,4777,a,b,15103,a)]. 15105 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(19(a,1),15104(a,1,2,2,2,2))]. 15106 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(220,a,15044,a(flip),b,15105,a)]. 15107 K(x,K(y,z \ (T(u,w) \ v5))) = K(x,K(y,u \ (z \ v5))). [hyper(220,a,14429,a(flip),b,15106,a)]. 15108 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(6606,a,15064,a),flip(a)]. 15109 (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (z * a(u,w,K(v5,v6))). [para(13282(a,2),15082(a,2,2,2))]. 15110 T(x,y / (z \ T(u,K(w,v5)))) = T(x,y / (z \ u)). [hyper(220,a,14308,a(flip),b,15098,a(flip)),flip(a)]. 15112 T(x,(y * K(z,K(u,w))) \ (z * K(w,u))) = T(x,(z * K(w,u)) / (z \ (y * z))). [hyper(220,a,14246,a(flip),b,15110,a(flip)),flip(a)]. 15113 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(5941(a,1),15108(a,1,2,1))]. 15114 K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). [para(534(a,2),15113(a,1,2,1))]. 15115 (x * y) \ (K(z,K(u,w)) * (x * (y * (v5 * K(z,K(u,w)))))) = L(v5,y,x). [para(14847(a,1),14893(a,1,2,2,2))]. 15117 ((x * y) \ (x * (y * (z * K(u,K(w,v5)))))) * K(u,K(w,v5)) = L(z,y,x). [hyper(14915,a,15115,a)]. 15118 L(x * K(y,K(z,u)),w,v5) * K(y,K(z,u)) = L(x,w,v5). [para(31(a,2),15117(a,1,1))]. 15119 T(x,K(y,z)) * L(u * K(x,K(y,z)),w,v5) = x * L(u,w,v5). [para(15118(a,1),14056(a,1,2)),flip(a)]. 15120 K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(15118(a,1),14275(a,1,2)),flip(a)]. 15121 K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). [para(12101(a,1),15120(a,1,2,1))]. 15122 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(14090,a,15119,a),flip(a)]. 15124 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(15122(a,2),14243(a,1,1))]. 15125 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,L((v5 / y) \ K(z,T(u,y)),v5 / y,y)). [hyper(220,a,14254,a(flip),b,15121,a(flip)),flip(a)]. 15129 K(x,(L(K(y,z),u,w) * v5) / v6) = K(x,v5 / (v6 * L(K(z,y),u,w))). [para(6587(a,1),15093(a,1,2,2,2)),flip(a)]. 15130 K(x,(y * L(K(z,u),w,v5)) / v6) = K(x,y / (v6 * L(K(u,z),w,v5))). [hyper(220,a,14285,a(flip),b,15129,a(flip)),flip(a)]. 15131 x * K(x,y / (z * L(K(u,w),v5,v6))) = T(x,(y * L(K(w,u),v5,v6)) / z). [para(15130(a,1),4801(a,2,2)),flip(a)]. 15132 T(x,(y * L(K(z,u),w,v5)) / v6) = T(x,y / (v6 * L(K(u,z),w,v5))). [hyper(4804,a,15131,a),flip(a)]. 15136 T(x,y \ T(z * T(u,K(w,v5)),K(w,v5))) = T(x,y \ (z * u)). [hyper(220,a,12057,a(flip),b,15048,a(flip))]. 15137 T(x,y \ (z * T(u,K(w,v5)))) = T(x,y \ (z * u)). [hyper(220,a,14312,a(flip),b,15136,a(flip)),flip(a)]. 15139 T(x,(y * (z * K(u,w))) \ ((y * K(u,w)) * z)) = T(x,a(y,K(u,w),T(z,K(u,w)))). [para(163(a,1),15137(a,1,2)),flip(a)]. 15141 T(x,(y * K(z,K(u,w))) \ (z * K(w,u))) = T(x,(z * K(w,u)) / T(y,z)). [para(35(a,2),15112(a,2,2,2))]. 15142 T(x,(y * K(z,K(u,w))) \ (z * K(u,w))) = T(x,(z * K(u,w)) / T(y,z)). [para(7893(a,1),15141(a,1,2,1,2))]. 15143 T(x,(y \ (z * K(u,w))) * K(z,K(u,w))) = T(x,(z * K(u,w)) / T(y,z)). [para(14931(a,1),15142(a,1,2))]. 15144 T(x,y \ (T(z,K(u,w)) * K(u,w))) = T(x,(z * K(u,w)) / T(y,z)). [para(14914(a,1),15143(a,1,2))]. 15145 T(x,(y * K(z,u)) / T(w,y)) = T(x,w \ (K(z,u) * y)). [para(7974(a,1),15144(a,1,2,2)),flip(a)]. 15146 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w * K(x,K(y,z)),u). [para(14919(a,1),14905(a,1,2,2))]. 15147 (x * (y * K(z,K(u,w)))) \ (x * ((y * v5) * K(z,K(u,w)))) = L(v5,y,K(z,K(u,w)) * x). [para(14904(a,1),14918(a,1,2))]. 15149 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). [para(7370(a,1),15125(a,2,2))]. 15150 (x * (y * K(z,K(u,w)))) \ (x * (y * (v5 * K(z,K(u,w))))) = L(v5,y,K(z,K(u,w)) * x). [para(14847(a,1),15147(a,1,2,2))]. 15151 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,K(x,K(y,z)) * u). [para(14890(a,2),15150(a,1,1))]. 15152 L(x,y * K(z,K(u,w)),v5) = L(x,y,K(z,K(u,w)) * v5). [hyper(220,a,15146,a(flip),b,15151,a(flip)),flip(a)]. 15153 ((x * y) \ (x * (y * (z * K(u,K(w,v5)))))) * K(u,K(w,v5)) = L(z,y,K(u,K(w,v5)) * x). [hyper(220,a,14933,a(flip),b,15151,a(flip)),flip(a)]. 15154 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [hyper(220,a,15117,a(flip),b,15153,a(flip))]. 15156 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [hyper(220,a,15152,a,b,15154,a(flip)),flip(a)]. 15158 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(7353(a,1),15154(a,1,3))]. 15160 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(98(a,1),15156(a,1,2)),flip(a)]. 15162 L(x,y / T(z,K(u,w)),v5) = L(x,y / z,v5). [para(6191(a,1),15156(a,1,2)),flip(a)]. 15163 ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = L(x,y,K(z,u)). [hyper(220,a,13752,a,b,15158,a(flip)),flip(a)]. 15164 L(x,K(y,z) * u,K(z,y)) * u = (x * (u * K(y,z))) * K(z,y). [para(15160(a,2),13753(a,1,1))]. 15166 T((K(x,y) * z) * T(u,z),K(x,y)) = ((u * (z * K(x,y))) * K(y,x)) * K(x,y). [para(15164(a,1),9355(a,1,1)),flip(a)]. 15167 T((K(x,y) * z) * T(u,z),K(x,y)) = u * (z * K(x,y)). [hyper(220,a,6172,a(flip),b,15166,a)]. 15169 T(x,((K(y,z) * u) * T(w,u)) \ v5) = T(x,(w * (u * K(y,z))) \ v5). [para(15167(a,1),14309(a,1,2,1)),flip(a)]. 15170 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7974(a,1),14882(a,1,1))]. 15172 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(8040(a,1),15170(a,2,2))]. 15173 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(220,a,7369,a(flip),b,15172,a)]. 15174 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(13300(a,1),15173(a,1,2))]. 15175 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [hyper(220,a,15109,a(flip),b,15174,a(flip)),flip(a)]. 15177 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(15175(a,1),13681(a,1,2,1))]. 15178 T(x,y / (z \ T(u * z,K(w,v5)))) = T(x,K(K(w,v5) * z,u) * (y / u)). [hyper(220,a,14314,a(flip),b,14934,a(flip))]. 15180 T(x,y / (z \ T(u * z,K(w,v5)))) = T(x,y / T(u,K(w,v5) * z)). [hyper(220,a,14074,a(flip),b,15178,a)]. 15182 T(x,y / T(z,K(u,w) * v5)) = T(x,y / (v5 \ (z * v5))). [hyper(220,a,15110,a(flip),b,15180,a(flip))]. 15184 T(x,y / T(z,K(u,w) * v5)) = T(x,y / T(z,v5)). [para(35(a,2),15182(a,2,2,2))]. 15186 K(x,y \ T(z,T(u * K(w,v5),v6))) = K(x,y \ (u \ T(z * u,K(w,v5)))). [hyper(14342,a,15096,a)]. 15187 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z * K(w,v5))). [hyper(14347,a,15186,a),flip(a)]. 15189 K(x,(y * (z * K(u,w))) \ (z \ T(y * z,K(u,w)))) = K(x,((z * K(u,w)) * y) \ y). [para(5841(a,1),15187(a,2,2))]. 15190 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(5429(a,1),15124(a,1,1,1))]. 15191 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(8217(a,1),15190(a,1,1,1))]. 15192 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(220,a,43,a,b,15191,a(flip)),flip(a)]. 15193 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(14224(a,1),15192(a,1,1))]. 15194 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(15193(a,2),12668(a,2,2,2))]. 15195 (x * (y * (z * K(u,K(w,v5))))) \ ((x * y) * (z * K(u,K(w,v5)))) = a(x,K(u,K(w,v5)) * y,z). [para(14921(a,1),14917(a,1,2))]. 15196 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5 * K(y,K(z,u))). [hyper(597,a,15195,a),flip(a)]. 15197 K(x,T(T((y * K(z,u)) / w,K(y,v5)),y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(14398,a,14901,a)]. 15198 K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(14119,a,15197,a)]. 15199 K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. [para(15198(a,2),14344(a,1))]. 15200 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). [hyper(15199,a,15149,a),flip(a)]. 15201 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). [para(117(a,1),15200(a,2,2,1,2,2))]. 15202 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,y / (z * K(w,u))). [hyper(220,a,15070,a(flip),b,15201,a)]. 15203 K(x,y / ((z * y) * K(u,w))) = K(x,(y * z) \ (K(w,u) * y)). [para(18(a,1),15202(a,1,2,1,2)),flip(a)]. 15204 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15054(a,1),15177(a,1,1))]. 15205 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15064(a,1),15204(a,1,2))]. 15206 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5252,a,15205,a)]. 15207 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(13430,a,15206,a),flip(a)]. 15208 T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). [hyper(8147,a,15206,a)]. 15209 (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). [hyper(7639,a,15207,a)]. 15210 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [hyper(4804,a,15207,a),flip(a)]. 15212 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [para(15209(a,1),154(a,1,1))]. 15213 x / a(y,z,K(u,w)) = a(y,z,K(u,w)) \ x. [para(15209(a,1),267(a,1,1)),flip(a)]. 15214 K(a(x,y,K(z,u)),w) = 1. [hyper(39,a,15212,a)]. 15217 K(K(x,a(y,z,u)),w) = 1. [para(13258(a,1),15214(a,1,1))]. 15220 T(K(x,a(y,z,u)),w) = K(x,a(y,z,u)). [hyper(40,a,15217,a)]. 15221 K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). [para(15220(a,1),118(a,1,2)),flip(a)]. 15222 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(13304,a,15213,a),flip(a)]. 15225 x * (y * K(x,a(z,u,w))) = T(x,a(z,u,w)) * y. [para(15221(a,1),4818(a,1,2))]. 15226 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(10654,a,15222,a)]. 15227 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(209,a,15222,a)]. 15228 a(x,y,K(z,u)) * (w * K(x,u)) = w * L(K(x,u),y,z). [hyper(220,a,10611,a(flip),b,15226,a)]. 15229 x * a(y,z,K(u,w)) != v5 | a(w,z,K(u,y)) * v5 = x. [para(15226(a,1),10653(a,1))]. 15230 x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. [para(13294(a,2),15225(a,1,2,2))]. 15231 L(K(x,(y / (z * K(u,w))) \ a(u,v5,K(v6,w))),a(u,v5,K(v6,w)),z * K(u,w)) = K(x,T((z * L(K(u,w),v5,v6)) / y,a(u,v5,K(v6,w)))). [para(15228(a,1),13715(a,2,2,1,1))]. 15232 T(x,y * K((z * (u * w)) \ (z * u),v5)) = T(y,K(w,v5)) \ T(x * y,K(L(w,u,z) \ 1,v5)). [para(6273(a,1),14880(a,1,2,2)),flip(a)]. 15234 T(x,y * K((z * (u * w)) \ (z * u),v5)) = T(y,K(w,v5)) \ T(x * y,K(L(w,u,z),v5)). [para(8487(a,1),15232(a,2,2))]. 15235 T(x,y * K((z * (u * w)) \ (z * u),v5)) = T(y,K(w,v5)) \ T(x * y,K(w,v5)). [para(14877(a,1),15234(a,2,2))]. 15236 T(x,y * K((z * (u * w)) \ (z * u),v5)) = T(x,y * K(w,v5)). [hyper(220,a,13885,a(flip),b,15235,a)]. 15238 T(x,y * K(L(z,u,w) \ 1,v5)) = T(x,y * K(z,v5)). [para(6273(a,1),15236(a,1,2,2))]. 15239 T(x,y * K(L(z,u,w),v5)) = T(x,y * K(z,v5)). [hyper(220,a,13854,a(flip),b,15238,a(flip)),flip(a)]. 15240 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(220,a,14060,a,b,15239,a)]. 15241 T(x,y * K(L(z,u,w),v5)) != v6 | T(x,K(z,v5) * y) = v6. [para(15239(a,2),14081(a,1))]. 15242 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(14081,a,15240,a)]. 15243 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(10005(a,1),15240(a,1,2,2))]. 15244 T(x,L(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [para(10005(a,1),15242(a,1,2,1))]. 15245 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(5001(a,2),15243(a,2,2))]. 15246 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(5941(a,2),15244(a,1,2))]. 15247 T(x,(y * L(K(z,u),w,v5)) / T(v6,K(z,u) * y)) = T(x,v6 \ (y / L(K(u,z),w,v5))). [para(15246(a,1),14327(a,1,2,2))]. 15248 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(6173(a,1),15245(a,1,2,1))]. 15249 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(10253(a,1),15248(a,1,2)),flip(a)]. 15250 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(5242(a,1),15249(a,1,2,2,2))]. 15251 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(7837(a,1),15250(a,1,2,2))]. 15252 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(220,a,14308,a(flip),b,15251,a(flip))]. 15254 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(10596(a,1),15252(a,1,2,2))]. 15255 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(15254(a,1),14098(a,1,2,1))]. 15256 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(14407(a,1),15255(a,1,2)),flip(a)]. 15257 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(220,a,8178,a(flip),b,15256,a)]. 15260 K(x,y \ a(z,u,K(w,v5))) = K(x,y \ 1). [hyper(220,a,13347,a(flip),b,15257,a(flip)),flip(a)]. 15261 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(15257(a,1),6169(a,1,1,2)),flip(a)]. 15262 T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(15257(a,1),9535(a,1,1,2))]. 15263 K(x,T(y,a(z,u,w))) = K(x,y). [para(13259(a,1),15257(a,1,2))]. 15266 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(220,a,6169,a(flip),b,15261,a)]. 15267 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(15266(a,1),15210(a,1,2,2))]. 15268 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4801(a,2),15267(a,1,2)),flip(a)]. 15270 T(x,(y * L(K(z,u),w,v5)) / T(v6,y)) = T(x,v6 \ (y / L(K(u,z),w,v5))). [hyper(220,a,15184,a(flip),b,15247,a(flip)),flip(a)]. 15273 ((x * (y * z)) \ ((x * y) * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) != v6 | a(x,y,z * K(u,K(w,v5))) = v6. [para(14935(a,1),14907(a,1))]. 15274 K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(5242(a,1),15114(a,1,2,1,1))]. 15275 K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(7234(a,1),15274(a,1,2,1,2,1))]. 15276 K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(15062(a,1),15275(a,1,2,1))]. 15277 K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). [para(7369(a,1),15276(a,1,2,1,2))]. 15278 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). [para(13303(a,1),15277(a,1,2,1)),flip(a)]. 15280 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) * v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(7935(a,1),14897(a,1,2,2,1,1))]. 15281 K(x,(y * K(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(14201(a,2),15280(a,1,2,2))]. 15282 K(x,(y * K(z,K(u,w))) / T(v5,v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(14049(a,1),15281(a,1,2,2,1))]. 15283 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,(y / T(z,v6)) * K(u,K(w,v5))). [para(14922(a,1),15282(a,1,2)),flip(a)]. 15284 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,y / T(z,v6)). [hyper(220,a,14275,a(flip),b,15283,a)]. 15287 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5,v6)). [hyper(220,a,15284,a(flip),b,14898,a)]. 15289 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) * v5,v6))) = K(x,(y \ z) / T(v5,v6)). [para(7935(a,1),15287(a,1,2,2,2,1))]. 15290 K(x,(y \ T(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,(y \ z) / T(v5,v6)). [para(14205(a,2),15289(a,1,2,2))]. 15291 K(x,(y \ T(z,K(u,w))) / T(v5,v6)) = K(x,(y \ z) / T(v5,v6)). [para(14049(a,1),15290(a,1,2,2,1))]. 15292 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,(z \ u) / T(y,z \ u)). [hyper(220,a,14321,a(flip),b,15291,a(flip)),flip(a)]. 15294 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [hyper(220,a,12795,a(flip),b,15292,a)]. 15295 K(x,(y * (z * K(u,w))) \ (z \ (y * z))) = K(x,((z * K(u,w)) * y) \ y). [hyper(220,a,15189,a(flip),b,15294,a(flip))]. 15297 K(x,(y * (z * K(u,w))) \ T(y,z)) = K(x,((z * K(u,w)) * y) \ y). [para(35(a,2),15295(a,1,2,2))]. 15298 K(x,((y * K(z,u)) * w) \ w) = K(x,(y * K(z,u)) \ K(w,y)). [hyper(6526,a,15297,a),flip(a)]. 15299 K(x,((y * K(z,u)) * w) \ w) = K(x,y \ (K(w,y) * K(u,z))). [hyper(220,a,15090,a(flip),b,15298,a)]. 15300 K(x,((y * K(z,u)) * w) \ w) = K(x,T(y,w) \ K(u,z)). [para(5115(a,1),15299(a,2,2))]. 15301 K(x,((y * K(z,u)) * w) \ w) = K(x,T(y \ K(u,z),w)). [hyper(220,a,14597,a(flip),b,15300,a)]. 15302 K(x,y \ ((z * K(u,w)) \ y)) = K(x,T(z \ K(w,u),y)). [hyper(220,a,7618,a(flip),b,15301,a(flip)),flip(a)]. 15303 L(x \ (y * z),T(x,K(u,K(w,v5))),K(u,K(w,v5))) = (x * K(u,K(w,v5))) \ (y * (z * K(u,K(w,v5)))). [para(14053(a,1),14906(a,1,1,1))]. 15304 (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) = x \ (w * v5). [hyper(220,a,14892,a(flip),b,15303,a(flip))]. 15306 (x \ (y * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) = x \ (y * z). [hyper(220,a,14931,a(flip),b,15304,a(flip)),flip(a)]. 15307 a(x,y,z * K(u,K(w,v5))) = (x * (y * z)) \ ((x * y) * z). [hyper(15273,a,15306,a)]. 15308 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(220,a,27,a,b,15307,a)]. 15310 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [hyper(220,a,15196,a,b,15308,a(flip)),flip(a)]. 15311 a(x,y,T(z,K(u,w))) = a(x,y,z). [para(1258(a,2),15308(a,1,3))]. 15312 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(7354(a,1),15308(a,1,3))]. 15314 T(x,(y * (z * K(u,w))) \ ((y * K(u,w)) * z)) = T(x,a(y,K(u,w),z)). [para(15311(a,1),15139(a,2,2))]. 15316 a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). [para(4853(a,1),15310(a,1,2)),flip(a)]. 15318 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,z)). [hyper(220,a,7403,a,b,15312,a(flip)),flip(a)]. 15319 a(T(x,y),(z * K(u,w)) * K(x,v5),x) = a(T(x,y),K(u,w) * z,T(x,v5)). [hyper(220,a,9374,a,b,15316,a),flip(a)]. 15322 (x * (K(y,z) * u)) * a(x,u,K(y,z)) = (x * u) * K(y,T(z,u)). [para(15318(a,1),17(a,1,2))]. 15323 ((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y)) = a(x,y,K(z,u)). [para(15322(a,1),15209(a,1,1))]. 15324 ((x * y) * K(z,T(u,y))) / L(K(z,u) * y,x,a(x,y,K(z,u))) = (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x. [para(15323(a,1),280(a,1,2,3))]. 15326 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(103(a,1),15194(a,2,2))]. 15327 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(5762(a,1),15326(a,2,2,2))]. 15328 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(8444(a,1),15327(a,2,2,2))]. 15329 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(14038(a,1),15328(a,2,2,2))]. 15330 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(220,a,16,a(flip),b,15329,a)]. 15331 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(14862,a,15330,a)]. 15334 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(299(a,1),15331(a,1,2,2,2))]. 15335 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(14033,a,15334,a)]. 15336 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(63(a,1),15335(a,1,2,2,1,2)),flip(a)]. 15337 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(220,a,15107,a(flip),b,15336,a(flip))]. 15338 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(14516,a,15337,a),flip(a)]. 15339 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(15338(a,1),7883(a,1,2))]. 15340 T(x,K(y,z \ (u \ w))) = T(x,K(y,u * (w \ z))). [hyper(7885,a,15339,a),flip(a)]. 15341 T(x,K(y,z \ (u * w))) = T(x,K(y,w * (z \ u))). [hyper(15050,a,15340,a)]. 15342 T(x,K(y,z * (u \ w))) \ T(v5 * x,K(y,u \ (T(z,w) * w))) = T(v5,x * K(y,u \ (T(z,w) * w))). [para(15341(a,1),13888(a,1,1))]. 15343 T(x,K(y,z * (u \ w))) \ T(v5 * x,K(y,u \ (w * z))) = T(v5,x * K(y,u \ (T(z,w) * w))). [para(13877(a,1),15342(a,1,2,2))]. 15344 T(x,K(y,z * (u \ w))) \ T(v5 * x,K(y,z * (u \ w))) = T(v5,x * K(y,u \ (T(z,w) * w))). [para(15341(a,1),15343(a,1,2))]. 15345 T(x,y * K(z,u \ (T(w,v5) * v5))) = T(x,y * K(z,w * (u \ v5))). [hyper(13889,a,15344,a),flip(a)]. 15346 T(x,y * K(z,u \ (w * v5))) = T(x,y * K(z,v5 * (u \ w))). [para(13877(a,1),15345(a,1,2,2))]. 15347 T(x,y * K(L(T(z,z \ u),z \ u,w),v5)) = T(x,y * K(z,w * (((u / v5) * w) \ u))). [hyper(220,a,14362,a,b,15346,a(flip)),flip(a)]. 15348 T(x,y * K(L(z,z \ u,w),T(v5,z \ u))) = T(x,y * K(z,w * (((u / v5) * w) \ u))). [para(7428(a,1),15347(a,1,2,2))]. 15349 T(x,y * K(L(z,z \ u,w),T(v5,u))) = T(x,y * K(z,w * (((u / v5) * w) \ u))). [para(8916(a,1),15348(a,1,2,2))]. 15350 T(x,y * K(z,u * (((w / v5) * u) \ w))) = T(x,K(z,T(v5,w)) * y). [hyper(15241,a,15349,a),flip(a)]. 15353 T(x,y * K(z,u * (((w / v5) * u) \ w))) != v6 | T(x,K(v5,z) * y) = v6. [para(15350(a,2),14323(a,1))]. 15355 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(742(a,1),15262(a,1,2))]. 15356 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(13306(a,1),15355(a,1,2,2,2,1))]. 15357 T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). [para(15268(a,2),15356(a,1,2,2))]. 15358 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). [para(15227(a,1),15357(a,1,2,2,1)),flip(a)]. 15359 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). [hyper(220,a,9535,a(flip),b,15358,a)]. 15361 K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). [para(15226(a,2),15359(a,1,2,1,2))]. 15362 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). [hyper(6418,a,15361,a)]. 15363 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(220,a,6107,a(flip),b,15362,a)]. 15364 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). [hyper(220,a,15278,a,b,15363,a(flip)),flip(a)]. 15366 K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). [para(5242(a,1),15364(a,1,2,1))]. 15367 K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). [hyper(15085,a,15366,a)]. 15368 K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). [para(15064(a,1),15367(a,1,2,2))]. 15369 K(x,y \ T(z * a(u,w,K(v5,v6)),K(u,v6))) = K(x,y \ z). [para(15208(a,2),15368(a,1,2,2))]. 15370 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [hyper(14343,a,15369,a)]. 15371 K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). [hyper(6597,a,15370,a),flip(a)]. 15373 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). [hyper(6149,a,15371,a),flip(a)]. 15375 K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(15373(a,1),3583(a,1)),flip(b)]. 15376 L(K(x,y),a(z,u,K(w,v5)),v6) != v7 | K(x,y) = v7. [para(15373(a,2),15375(a,1))]. 15377 (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = ((x * y) * K(z,T(u,y))) / (K(z,u) * y). [para(13308(a,1),15324(a,1,2)),flip(a)]. 15378 (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = L(x,y,K(z,u)). [hyper(220,a,15163,a(flip),b,15377,a)]. 15380 a(x,y,K(z,u)) * x = L(x,y,K(z,u)). [para(15323(a,1),15378(a,1,1))]. 15381 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(220,a,15226,a(flip),b,15380,a(flip)),flip(a)]. 15382 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [para(13287(a,1),15380(a,1,1))]. 15384 (x / y) * K(y,a(z,u,w)) = x / L(y,u,K(z,w)). [para(15381(a,1),13284(a,1,2)),flip(a)]. 15385 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(13261,a,15382,a),flip(a)]. 15386 a(x,y,K(z,T(T(u,w),v5))) * (z * K(v6,u)) = L(z * K(v6,u),y,K(T(T(u,w),v5),x)). [para(7788(a,1),15382(a,1,1,3))]. 15387 T(x,L(y,z,u) \ y) = L(x,z,K(y,u)). [hyper(220,a,13092,a,b,15385,a),flip(a)]. 15389 (x * y) \ (y * L(x,z,K(u,w))) = K(y,x) * K(x,a(w,z,u)). [para(15385(a,2),10371(a,1,2,2))]. 15390 x * (y * a(x,z,K(u,w))) = L(x,z,K(u,w)) * y. [para(15385(a,2),15230(a,2,1))]. 15391 (x / y) * a(y,z,K(u,w)) = x / L(y,z,K(w,u)). [para(13294(a,2),15384(a,1,2))]. 15392 x * (y * a(z,u,K(x,w))) = L(x,u,K(w,z)) * y. [para(13287(a,1),15390(a,1,2,2))]. 15393 K(x / L(y,z,K(u,w)),v5) = K(x / y,v5). [para(15391(a,1),15266(a,1,1))]. 15394 (x * y) * a(z,u,K(x,w)) = L(x,u,K(w,z)) * y. [hyper(20,a,1306,a(flip),b,15392,a)]. 15395 (L(x,y,K(z,u)) * w) / a(x,y,K(z,u)) = x * w. [hyper(72,a,15394,a(flip),b,13297,a)]. 15396 (L(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = x * w. [hyper(13304,a,15395,a)]. 15397 a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * w. [hyper(15229,a,15396,a)]. 15398 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [para(13287(a,1),15397(a,1,1))]. 15399 (x * y) \ (y * L(x,z,K(u,w))) = K(y,x) * a(x,z,K(u,w)). [para(13294(a,2),15389(a,2,2))]. 15400 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = a(v6,u,K(x,T(z,w))) * (x * K(y,z)). [para(15312(a,1),15386(a,1,1)),flip(a)]. 15401 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = a(v6,u,K(x,z)) * (x * K(y,z)). [para(15312(a,1),15400(a,2,1))]. 15403 L(x * K(y,z),u,K(T(T(z,w),v5),v6)) = L(x,u,K(z,v6)) * K(y,z). [hyper(220,a,15398,a(flip),b,15401,a)]. 15405 L(x * K(y,z),u,K(z,w)) = L(x,u,K(z,w)) * K(y,z). [para(2514(a,1),15403(a,1,3,1))]. 15406 K(x / L(y * K(z,u),x / y,K(u,z)),w) = K(K(u,z) * (x / y),w). [para(15405(a,2),15095(a,1,1,2))]. 15407 K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w). [hyper(220,a,15393,a(flip),b,15406,a(flip)),flip(a)]. 15408 K(K(x,y) * (((z * K(y,x)) * u) / u),w) = K(L(z,K(y,x),u),w). [hyper(14305,a,15407,a),flip(a)]. 15410 K(L(x,K(y,z),u),w) = K(K(z,y) * (x * K(y,z)),w). [para(18(a,1),15408(a,1,1,2)),flip(a)]. 15412 K(L(x,K(y,z),u),w) = K(T(x,K(z,y)),w). [para(7964(a,1),15410(a,2,1))]. 15414 K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. [para(15412(a,2),14135(a,1))]. 15415 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(15414,a,15089,a),flip(a)]. 15418 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(220,a,14115,a,b,15415,a)]. 15419 (x * y) / (K(K(z,u) * (w \ v5),x) * y) = T(x,w \ (K(z,u) * v5)). [para(15418(a,1),5121(a,1,2,1))]. 15420 T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). [hyper(5222,a,15419,a),flip(a)]. 15422 L(K(x,(y / (z * K(u,w))) \ 1),a(u,v5,K(v6,w)),z * K(u,w)) = K(x,T((z * L(K(u,w),v5,v6)) / y,a(u,v5,K(v6,w)))). [para(15260(a,1),15231(a,1,1))]. 15423 L(K(x,y / (z * K(u,w))),a(w,v5,K(v6,u)),y * K(w,u)) = K(x,T((y * L(K(w,u),v5,v6)) / z,a(w,v5,K(v6,u)))). [para(15086(a,1),15422(a,1,1))]. 15425 L(K(x,y / (z * K(u,w))),a(w,v5,K(v6,u)),y * K(w,u)) = K(x,(y * L(K(w,u),v5,v6)) / z). [hyper(220,a,15263,a(flip),b,15423,a)]. 15427 L(K(x,y / (z * K(u,w))),a(w,v5,K(v6,u)),y * K(w,u)) = K(x,y / (z * L(K(u,w),v5,v6))). [hyper(220,a,15130,a(flip),b,15425,a)]. 15428 K(x,y / (z * L(K(u,w),v5,v6))) = K(x,y / (z * K(u,w))). [hyper(15376,a,15427,a),flip(a)]. 15429 K(x,y / (L(K(z,u),w,v5) * v6)) = K(x,y / (v6 * K(z,u))). [hyper(14350,a,15428,a)]. 15430 K(x,y / ((z * u) * K(w,v5))) = K(x,y / (z * (u * K(w,v5)))). [para(103(a,1),15428(a,1,2,2)),flip(a)]. 15431 K(x,y / (z * (T(u,z) * K(w,v5)))) = K(x,y / ((u * z) * K(w,v5))). [para(395(a,1),15428(a,1,2,2))]. 15432 T(x,y / (L(K(z,u),w,v5) * v6)) = x * K(x,y / (v6 * K(z,u))). [para(15429(a,1),4801(a,2,2))]. 15433 K(x,y / (z * (y * K(u,w)))) = K(x,(y * z) \ (K(w,u) * y)). [hyper(220,a,15203,a(flip),b,15430,a(flip))]. 15434 T(x,y / (L(K(z,u),w,v5) * v6)) = T(x,y / (v6 * K(z,u))). [hyper(220,a,4801,a,b,15432,a)]. 15435 T(x,y / (z * L(K(u,w),v5,v6))) = T(x,y / (z * K(u,w))). [hyper(220,a,14317,a(flip),b,15434,a(flip)),flip(a)]. 15437 T(x,(y * L(K(z,u),w,v5)) / v6) = T(x,y / (v6 * K(u,z))). [hyper(220,a,15132,a,b,15435,a(flip)),flip(a)]. 15439 K(x,y / (z * (T(u,z) * K(w,v5)))) = K(x,y / (u * (z * K(w,v5)))). [hyper(220,a,15430,a(flip),b,15431,a)]. 15440 K(x,y \ ((T(z,y) * K(u,w)) \ y)) = K(x,y / (z * (y * K(u,w)))). [hyper(220,a,8366,a(flip),b,15439,a(flip)),flip(a)]. 15441 K(x,y / (z * (y * K(u,w)))) = K(x,T(T(z,y) \ K(w,u),y)). [hyper(220,a,15302,a(flip),b,15440,a(flip))]. 15442 K(x,y / (z * (y * K(u,w)))) = K(x,T(T(z \ K(w,u),y),y)). [hyper(220,a,14355,a(flip),b,15441,a)]. 15443 K(x,y / (z * (y * K(u,w)))) = K(x,z \ K(w,u)). [hyper(220,a,8049,a(flip),b,15442,a)]. 15445 K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). [hyper(220,a,15433,a(flip),b,15443,a(flip)),flip(a)]. 15447 K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). [hyper(220,a,15202,a(flip),b,15445,a(flip)),flip(a)]. 15448 K(x,y / (K(z,u) * w)) = K(x,(w / y) \ K(u,z)). [hyper(14349,a,15447,a)]. 15450 x * K(x,(y / z) \ K(u,w)) = T(x,z / (K(w,u) * y)). [para(15448(a,1),4801(a,2,2)),flip(a)]. 15451 T(x,y / (K(z,u) * w)) != v5 | T(x,(w / y) \ K(u,z)) = v5. [para(15450(a,1),4804(a,1))]. 15452 T(x,y / (z * K(u,w))) = T(x,(z / y) \ K(w,u)). [hyper(15451,a,14315,a),flip(a)]. 15453 T(x,(y * L(K(z,u),w,v5)) / v6) = T(x,(v6 / y) \ K(z,u)). [hyper(220,a,15437,a,b,15452,a(flip)),flip(a)]. 15454 T(x,(T(y,z) / z) \ K(u,w)) = T(x,y \ (z / L(K(w,u),v5,v6))). [hyper(220,a,15270,a(flip),b,15453,a(flip))]. 15456 L(L(K(x,y / z),y / T(z,K(u,w)),z),z * (y / T(z,K(u,w))),K(u,w)) = L(K(x,(y * K(u,w)) / (K(u,w) * z)),L(y / T(z,K(u,w)),z,K(u,w)),K(u,w) * z). [para(14281(a,1),13761(a,1,1,1))]. 15458 L(L(K(x,y / z),y / z,z),z * (y / T(z,K(u,w))),K(u,w)) = L(K(x,(y * K(u,w)) / (K(u,w) * z)),L(y / T(z,K(u,w)),z,K(u,w)),K(u,w) * z). [para(15162(a,1),15456(a,1,1))]. 15459 L(K(x,(y * K(z,u)) / (K(z,u) * w)),L(y / T(w,K(z,u)),w,K(z,u)),K(z,u) * w) = L(K(x,(w / y) \ 1),w * (y / T(w,K(z,u))),K(z,u)). [para(6102(a,1),15458(a,1,1)),flip(a)]. 15461 L(K(x,(y * K(z,u)) / (K(z,u) * w)),L(y / T(w,K(z,u)),w,K(z,u)),K(z,u) * w) = K(x,(w / y) \ 1). [hyper(220,a,15054,a(flip),b,15459,a)]. 15464 L(K(x,(y * K(z,u)) / (K(z,u) * w)),(y * K(z,u)) / (K(z,u) * w),K(z,u) * w) = K(x,(w / y) \ 1). [para(13760(a,1),15461(a,1,2))]. 15465 K(x,((K(y,z) * u) / (w * K(y,z))) \ 1) = K(x,(u / w) \ 1). [hyper(6109,a,15464,a)]. 15467 K(x,((K(y,z) * u) / w) \ 1) = K(x,(u / (w * K(z,y))) \ 1). [para(5238(a,1),15465(a,1,2,1,1)),flip(a)]. 15468 x * K(x,(y / (z * K(u,w))) \ 1) = T(x,((K(w,u) * y) / z) \ 1). [para(15467(a,1),4801(a,2,2)),flip(a)]. 15469 T(x,((K(y,z) * u) / w) \ 1) = T(x,(u / (w * K(z,y))) \ 1). [hyper(4804,a,15468,a),flip(a)]. 15470 T(x,(y / (z * K(u,w))) \ 1) = T(x,z / (K(w,u) * y)). [hyper(220,a,4216,a(flip),b,15469,a(flip))]. 15471 T(x,(y * K(z,u)) / w) = T(x,y / (K(u,z) * w)). [hyper(220,a,4216,a(flip),b,15470,a(flip)),flip(a)]. 15472 T(x,y / (K(z,u) * T(w,y))) = T(x,w \ (K(u,z) * y)). [hyper(220,a,15145,a(flip),b,15471,a(flip))]. 15473 T(x,(T(y,z) / z) \ K(u,w)) = T(x,y \ (K(u,w) * z)). [hyper(15451,a,15472,a)]. 15474 T(x,y \ (z / L(K(u,w),v5,v6))) = T(x,y \ (K(w,u) * z)). [hyper(220,a,15454,a(flip),b,15473,a(flip)),flip(a)]. 15475 T(x,y \ (z * L(K(u,w),v5,v6))) = T(x,y \ (K(u,w) * z)). [para(6534(a,1),15474(a,1,2,2))]. 15476 T(x,y \ (L(K(z,u),w,v5) * v6)) = T(x,y \ (K(z,u) * v6)). [hyper(220,a,14320,a,b,15475,a(flip)),flip(a)]. 15478 T(x,((K(y,z) * u) * w) \ v5) = T(x,(u * w) \ (K(z,y) * v5)). [hyper(220,a,15074,a(flip),b,15476,a(flip)),flip(a)]. 15480 T(x,(y * T(z,y)) \ (K(u,w) * v5)) = T(x,(z * (y * K(w,u))) \ v5). [hyper(220,a,15169,a(flip),b,15478,a(flip))]. 15481 T(x,(y * (z * K(u,w))) \ v5) = T(x,(y * z) \ (K(w,u) * v5)). [para(118(a,1),15480(a,1,2,1)),flip(a)]. 15482 T(x,(y * (z * K(u,w))) \ v5) = T(x,K(w,u) * ((y * z) \ v5)). [hyper(220,a,15420,a(flip),b,15481,a)]. 15483 T(x,K(y,z) * ((u * w) \ ((u * K(z,y)) * w))) = T(x,a(u,K(z,y),w)). [hyper(220,a,15314,a(flip),b,15482,a(flip))]. 15484 T(x,K(y,z) * K(z,((u / y) * w) \ (u * w))) = T(x,a(u,K(z,y),w)). [para(8924(a,2),15483(a,1,2,2))]. 15485 T(x,K(y,z) * K(z,u * (((w / y) * u) \ w))) = T(x,a(w,K(z,y),u)). [hyper(220,a,15346,a(flip),b,15484,a(flip)),flip(a)]. 15486 T(x,a(y,K(z,u),w)) = T(x,K(u,z) * K(u,z)). [hyper(15353,a,15485,a),flip(a)]. 15488 T(x,a(y,K(z,u),w)) = x. [hyper(220,a,13787,a(flip),b,15486,a)]. 15490 L(x,K(y,z),K(u,w)) = x. [hyper(220,a,15385,a,b,15488,a(flip)),flip(a)]. 15500 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(15490(a,1),13744(a,1,1)),flip(a)]. 15504 a(x,y * (K(z,u) * K(x,w)),x) = a(x,y * K(z,u),T(x,w)). [para(15500(a,1),7175(a,1,2))]. 15505 a(T(x,y),z * (K(u,w) * K(x,v5)),x) = a(T(x,y),K(u,w) * z,T(x,v5)). [para(15500(a,1),15319(a,1,2))]. 15506 a(x,y * (K(z,u) * K(x,w)),T(x,v5)) = a(T(x,v5),K(z,u) * y,T(x,w)). [hyper(220,a,13126,a(flip),b,15505,a(flip)),flip(a)]. 15507 a(x,y * (K(z \ 1,z) * K(x,u)),T(x,w)) = a(T(x,w),y,T(x,u)). [hyper(220,a,9866,a(flip),b,15506,a)]. 15508 a(T(x,y),z,T(x,u)) = a(x,z * (K(w \ 1,w) * K(x,u)),x). [hyper(10433,a,15507,a),flip(a)]. 15510 a(T(x,y),z,T(x,u)) = a(x,z * K(w \ 1,w),T(x,u)). [hyper(220,a,15504,a(flip),b,15508,a)]. 15511 a(T(x,y),z,T(x,u)) = a(x,z * K(w \ 1,w),x). [hyper(220,a,10432,a(flip),b,15510,a)]. 15513 a(T(x,y),z,T(x,u)) = a(x,z,x). [hyper(220,a,12743,a(flip),b,15511,a)]. 15514 (x * (T(x,y) * z)) \ ((T(x,y) * z) * T(x,z)) = a(x,z,x). [hyper(220,a,910,a,b,15513,a(flip)),flip(a)]. 15520 (x * (L(x,y,K(z,u)) * w)) \ ((T(x,L(z,y,u) \ z) * w) * T(x,w)) = a(x,w,x). [para(15387(a,1),15514(a,1,1,2,1))]. 15521 (x * (L(x,y,K(z,u)) * w)) \ ((L(x,y,K(z,u)) * w) * T(x,w)) = a(x,w,x). [para(15387(a,1),15520(a,1,2,1,1))]. 15522 (x * (L(x,y,K(z,u)) * (L(w,v5,v6) \ w))) \ ((L(x,y,K(z,u)) * (L(w,v5,v6) \ w)) * L(x,v5,K(w,v6))) = a(x,L(w,v5,v6) \ w,x). [para(15387(a,1),15521(a,1,2,2))]. 15523 K(L(x,y,K(z,u)) * (L(w,v5,v6) \ w),x) * a(x,v5,K(w,v6)) = a(x,L(w,v5,v6) \ w,x). [hyper(220,a,15399,a(flip),b,15522,a(flip)),flip(a)]. 15524 K(x * (L(y,z,u) \ y),x) * a(x,z,K(y,u)) = a(x,L(y,z,u) \ y,x). [para(378(a,1),15523(a,1,1,1,1))]. 15525 K(x * (L(y,z,u) \ y),x) * a(x,z,K(y,u)) = a(x,a(u,z,y),x). [hyper(220,a,13042,a(flip),b,15524,a)]. 15526 a(x,y * z,K(u,z)) * a(x,y,K(z,u)) = a(x,a(u,y,z),x). [para(13478(a,1),15525(a,1,1))]. 15527 a(x,y,K(z,u)) * a(z,y,K(x,u)) = a(z,a(u,y,x),z). [para(13299(a,1),15526(a,1,1))]. 15528 a(x,a(y,z,u),x) = 1. [hyper(220,a,13376,a(flip),b,15527,a(flip))]. 15529 $F # answer("aa2{x1/x5}"). [resolve(15528,a,51,a)]. ============================== end of proof ==========================